packages feed

singletons-th 3.2 → 3.3

raw patch · 35 files changed

+9261/−8284 lines, 35 filesdep ~basedep ~template-haskelldep ~th-desugarsetup-changed

Dependency ranges changed: base, template-haskell, th-desugar

Files

CHANGES.md view
@@ -1,159 +1,184 @@-Changelog for the `singletons-th` project
-=========================================
-
-3.2 [2023.03.12]
-----------------
-* Require building with GHC 9.6.
-* Derived `POrd` and `SOrd` instances (arising from a use of `deriving Ord`)
-  now use `(<>) @Ordering` in their implementations instead of the custom
-  `thenCmp :: Ordering -> Ordering -> Ordering` function. While most code will
-  likely continue to work after this change, this may break code that attempts
-  to prove properties about the implementation of a derived `POrd`/`SOrd`
-  instance.
-* Fix a bug in which the `singDecideInstances` and `showSingInstances`, as well
-  as `deriving Show` declarations, would not respect custom
-  `promotedDataTypeOrConName` options.
-* Allow building with `mtl-2.3.*`.
-
-3.1.1 [2022.08.23]
-------------------
-* Require building with GHC 9.4.
-* Improve error messages when attempting to promote a partial application of
-  a function arrow `(->)`, which is not currently supported.
-
-3.1 [2021.10.30]
-----------------
-* Require building with GHC 9.2.
-* Allow promoting and singling type applications in data constructor patterns.
-* Make the Template Haskell machinery generate `SingI1` and `SingI2` instances
-  when possible.
-* Make `genDefunSymbols` and related functions less likely to trigger
-  [GHC#19743](https://gitlab.haskell.org/ghc/ghc/-/issues/19743).
-
-3.0 [2021.03.12]
-----------------
-* The `singletons` library has been split into three libraries:
-
-  * The new `singletons` library is now a minimal library that only provides
-    `Data.Singletons`, `Data.Singletons.Decide`, `Data.Singletons.Sigma`, and
-    `Data.Singletons.ShowSing` (if compiled with GHC 8.6 or later).
-    `singletons` now supports building GHCs back to GHC 8.0, as well as GHCJS.
-  * The `singletons-th` library defines Template Haskell functionality for
-    promoting and singling term-level definitions, but but nothing else. This
-    library continues to require the latest stable release of GHC.
-  * The `singletons-base` library defines promoted and singled versions of
-    definitions from the `base` library, including the `Prelude`. This library
-    continues to require the latest stable release of GHC.
-
-  Consult the changelogs for `singletons` and `singletons-base` for changes
-  specific to those libraries. For more information on this split, see the
-  [relevant GitHub discussion](https://github.com/goldfirere/singletons/issues/420).
-* Require building with GHC 9.0.
-* `Data.Singletons.CustomStar` and `Data.Singletons.SuppressUnusedWarnings`
-  have been renamed to `Data.Singletons.TH.CustomStar` and
-  `Data.Singletons.SuppressUnusedWarnings`, respectively, to give every module
-  in `singletons-th` a consistent module prefix.
-* Due to the `singletons` package split, the `singletons-th` modules
-  `Data.Singletons.TH` and `Data.Singletons.TH.CustomStar` (formerly known as
-  `Data.Singletons.CustomStar`) no longer re-export any definitions from the
-  `singletons-base` module `Prelude.Singletons` (formerly known as
-  `Data.Singletons.Prelude`). The `singletons-base` library now provides
-  versions of these modules—`Data.Singletons.Base.CustomStar` and
-  `Data.Singletons.Base.TH`, respectively—that do re-export definitions
-  from `Prelude.Singletons`.
-* "Fully saturated" defunctionalization symbols (e.g., `IdSym1`) are now
-  defined as type families instead of type synonyms. This has two notable
-  benefits:
-
-  * Fully saturated defunctionalization symbols can now be given standalone
-    kind signatures, which ensures that the order of kind variables is the
-    same as the user originally declared them.
-  * This fixes a minor regression in `singletons-2.7` in which the quality
-    of `:kind!` output in GHCi would become worse when using promoted type
-    families generated by Template Haskell.
-
-  Under certain circumstances, this can be a breaking change:
-
-  * Since more TH-generated promoted functions now have type families on
-    their right-hand sides, some programs will now require
-    `UndecidableInstances` where they didn't before.
-  * Certain definitions that made use of overlapping patterns, such as
-    `natMinus` below, will no longer typecheck:
-
-    ```hs
-    $(singletons [d|
-      data Nat = Z | S Nat
-
-      natMinus :: Nat -> Nat -> Nat
-      natMinus Z     _     = Z
-      natMinus (S a) (S b) = natMinus a b
-      natMinus a     Z     = a
-      |])
-    ```
-
-    This can be worked around by avoiding the use of overlapping patterns.
-    In the case of `natMinus`, this amounts to changing the third equation
-    to match on its first argument:
-
-    ```hs
-    $(singletons [d|
-      natMinus :: Nat -> Nat -> Nat
-      natMinus Z       _     = Z
-      natMinus (S a)   (S b) = natMinus a b
-      natMinus a@(S _) Z     = a
-      |])
-    ```
-* The specification for how `singletons` deals with record selectors has been
-  simplified. Previously, `singletons` would try to avoid promoting so-called
-  "naughty" selectors (those whose types mention existential type variables
-  that do not appear in the constructor's return type) to top-level functions.
-  Determing if a selector is naughty is quite challenging in practice, as
-  determining if a type variable is existential or not in the context of
-  Template Haskell is difficult in the general case. As a result, `singletons`
-  now adopts the dumb-but-predictable approach of always promoting record
-  selectors to top-level functions, naughty or not.
-
-  This means that attempting to promote code with a naughty record selector,
-  like in the example below, will no longer work:
-
-  ```hs
-  $(promote [d|
-    data Some :: (Type -> Type) -> Type where
-      MkSome :: { getSome :: f a } -> Some f
-      -- getSome is naughty due to mentioning the type variable `a`
-    |])
-  ```
-
-  Please open an issue if you find this restriction burdensome in practice.
-* The `singEqInstanceOnly` and `singEqInstancesOnly` functions, which generate
-  `SEq` (but not `PEq`) instances, have been removed. There is not much point
-  in keeping these functions around now that `PEq` now longer has a special
-  default implementation. Use `singEqInstance{s}` instead.
-* The Template Haskell machinery will no longer promote `TypeRep` to `Type`,
-  as this special case never worked properly in the first place.
-* The Template Haskell machinery will now preserve strict fields in data types
-  when generating their singled counterparts.
-* Introduce a new `promotedDataTypeOrConName` option to
-  `Data.Singletons.TH.Options`. Overriding this option can be useful in
-  situations where one wishes to promote types such as `Nat`, `Symbol`, or
-  data types built on top of them. See the
-  "Arrows, `Nat`, `Symbol`, and literals" section of the `README` for more
-  information.
-* Define a `Quote` instance for `OptionsM`. A notable benefit of this instance
-  is that it avoids the need to explicitly `lift` TH quotes into `OptionsM`.
-  Before, you would have to do this:
-
-  ```hs
-  import Control.Monad.Trans.Class (lift)
-
-  withOptions defaultOptions
-    $ singletons
-    $ lift [d| data T = MkT |]
-  ```
-
-  But now, it suffices to simply do this:
-
-  ```hs
-  withOptions defaultOptions
-    $ singletons [d| data T = MkT |]
-  ```
+Changelog for the `singletons-th` project+=========================================++3.3 [2023.10.13]+----------------+* Require building with GHC 9.8.+* Singled data types with derived `Eq` or `Ord` instances now generate `Eq` or+  `Ord` instances for the singleton type itself, e.g.,++  ```hs+  instance Eq (SExample a) where+    _ == _ = True++  instance Ord (SExample a) where+    compare _ _ = EQ+  ```+* `singletons-th` now makes an effort to promote definitions that use scoped+  type variables. See the "Scoped type variables" section of the `README` for+  more information about what `singletons-th` can (and can't) do.+* `singletons-th` now supports singling type-level definitions that use+  `TypeAbstractions`.+* Fix a bug in which data types using visible dependent quantification would+  generate ill-scoped code when singled.+* Fix a bug in which singling a local variable that shadows a top-level+  definition would fail to typecheck in some circumstances.+* Fix a bug in which `singletons-th` would incorrectly promote/single records+  to top-level field selectors when `NoFieldSelectors` was active.++3.2 [2023.03.12]+----------------+* Require building with GHC 9.6.+* Derived `POrd` and `SOrd` instances (arising from a use of `deriving Ord`)+  now use `(<>) @Ordering` in their implementations instead of the custom+  `thenCmp :: Ordering -> Ordering -> Ordering` function. While most code will+  likely continue to work after this change, this may break code that attempts+  to prove properties about the implementation of a derived `POrd`/`SOrd`+  instance.+* Fix a bug in which the `singDecideInstances` and `showSingInstances`, as well+  as `deriving Show` declarations, would not respect custom+  `promotedDataTypeOrConName` options.+* Allow building with `mtl-2.3.*`.++3.1.1 [2022.08.23]+------------------+* Require building with GHC 9.4.+* Improve error messages when attempting to promote a partial application of+  a function arrow `(->)`, which is not currently supported.++3.1 [2021.10.30]+----------------+* Require building with GHC 9.2.+* Allow promoting and singling type applications in data constructor patterns.+* Make the Template Haskell machinery generate `SingI1` and `SingI2` instances+  when possible.+* Make `genDefunSymbols` and related functions less likely to trigger+  [GHC#19743](https://gitlab.haskell.org/ghc/ghc/-/issues/19743).++3.0 [2021.03.12]+----------------+* The `singletons` library has been split into three libraries:++  * The new `singletons` library is now a minimal library that only provides+    `Data.Singletons`, `Data.Singletons.Decide`, `Data.Singletons.Sigma`, and+    `Data.Singletons.ShowSing` (if compiled with GHC 8.6 or later).+    `singletons` now supports building GHCs back to GHC 8.0, as well as GHCJS.+  * The `singletons-th` library defines Template Haskell functionality for+    promoting and singling term-level definitions, but but nothing else. This+    library continues to require the latest stable release of GHC.+  * The `singletons-base` library defines promoted and singled versions of+    definitions from the `base` library, including the `Prelude`. This library+    continues to require the latest stable release of GHC.++  Consult the changelogs for `singletons` and `singletons-base` for changes+  specific to those libraries. For more information on this split, see the+  [relevant GitHub discussion](https://github.com/goldfirere/singletons/issues/420).+* Require building with GHC 9.0.+* `Data.Singletons.CustomStar` and `Data.Singletons.SuppressUnusedWarnings`+  have been renamed to `Data.Singletons.TH.CustomStar` and+  `Data.Singletons.SuppressUnusedWarnings`, respectively, to give every module+  in `singletons-th` a consistent module prefix.+* Due to the `singletons` package split, the `singletons-th` modules+  `Data.Singletons.TH` and `Data.Singletons.TH.CustomStar` (formerly known as+  `Data.Singletons.CustomStar`) no longer re-export any definitions from the+  `singletons-base` module `Prelude.Singletons` (formerly known as+  `Data.Singletons.Prelude`). The `singletons-base` library now provides+  versions of these modules—`Data.Singletons.Base.CustomStar` and+  `Data.Singletons.Base.TH`, respectively—that do re-export definitions+  from `Prelude.Singletons`.+* "Fully saturated" defunctionalization symbols (e.g., `IdSym1`) are now+  defined as type families instead of type synonyms. This has two notable+  benefits:++  * Fully saturated defunctionalization symbols can now be given standalone+    kind signatures, which ensures that the order of kind variables is the+    same as the user originally declared them.+  * This fixes a minor regression in `singletons-2.7` in which the quality+    of `:kind!` output in GHCi would become worse when using promoted type+    families generated by Template Haskell.++  Under certain circumstances, this can be a breaking change:++  * Since more TH-generated promoted functions now have type families on+    their right-hand sides, some programs will now require+    `UndecidableInstances` where they didn't before.+  * Certain definitions that made use of overlapping patterns, such as+    `natMinus` below, will no longer typecheck:++    ```hs+    $(singletons [d|+      data Nat = Z | S Nat++      natMinus :: Nat -> Nat -> Nat+      natMinus Z     _     = Z+      natMinus (S a) (S b) = natMinus a b+      natMinus a     Z     = a+      |])+    ```++    This can be worked around by avoiding the use of overlapping patterns.+    In the case of `natMinus`, this amounts to changing the third equation+    to match on its first argument:++    ```hs+    $(singletons [d|+      natMinus :: Nat -> Nat -> Nat+      natMinus Z       _     = Z+      natMinus (S a)   (S b) = natMinus a b+      natMinus a@(S _) Z     = a+      |])+    ```+* The specification for how `singletons` deals with record selectors has been+  simplified. Previously, `singletons` would try to avoid promoting so-called+  "naughty" selectors (those whose types mention existential type variables+  that do not appear in the constructor's return type) to top-level functions.+  Determing if a selector is naughty is quite challenging in practice, as+  determining if a type variable is existential or not in the context of+  Template Haskell is difficult in the general case. As a result, `singletons`+  now adopts the dumb-but-predictable approach of always promoting record+  selectors to top-level functions, naughty or not.++  This means that attempting to promote code with a naughty record selector,+  like in the example below, will no longer work:++  ```hs+  $(promote [d|+    data Some :: (Type -> Type) -> Type where+      MkSome :: { getSome :: f a } -> Some f+      -- getSome is naughty due to mentioning the type variable `a`+    |])+  ```++  Please open an issue if you find this restriction burdensome in practice.+* The `singEqInstanceOnly` and `singEqInstancesOnly` functions, which generate+  `SEq` (but not `PEq`) instances, have been removed. There is not much point+  in keeping these functions around now that `PEq` now longer has a special+  default implementation. Use `singEqInstance{s}` instead.+* The Template Haskell machinery will no longer promote `TypeRep` to `Type`,+  as this special case never worked properly in the first place.+* The Template Haskell machinery will now preserve strict fields in data types+  when generating their singled counterparts.+* Introduce a new `promotedDataTypeOrConName` option to+  `Data.Singletons.TH.Options`. Overriding this option can be useful in+  situations where one wishes to promote types such as `Nat`, `Symbol`, or+  data types built on top of them. See the+  "Arrows, `Nat`, `Symbol`, and literals" section of the `README` for more+  information.+* Define a `Quote` instance for `OptionsM`. A notable benefit of this instance+  is that it avoids the need to explicitly `lift` TH quotes into `OptionsM`.+  Before, you would have to do this:++  ```hs+  import Control.Monad.Trans.Class (lift)++  withOptions defaultOptions+    $ singletons+    $ lift [d| data T = MkT |]+  ```++  But now, it suffices to simply do this:++  ```hs+  withOptions defaultOptions+    $ singletons [d| data T = MkT |]+  ```
LICENSE view
@@ -1,27 +1,27 @@-Copyright (c) 2012-2020, Richard Eisenberg
-All rights reserved.
-
-Redistribution and use in source and binary forms, with or without
-modification, are permitted provided that the following conditions are met:
-
-1. Redistributions of source code must retain the above copyright notice, this
-list of conditions and the following disclaimer.
-
-2. Redistributions in binary form must reproduce the above copyright notice,
-this list of conditions and the following disclaimer in the documentation
-and/or other materials provided with the distribution.
-
-3. Neither the name of the author nor the names of its contributors may be
-used to endorse or promote products derived from this software without
-specific prior written permission.
-
-THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
-FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+Copyright (c) 2012-2020, Richard Eisenberg+All rights reserved.++Redistribution and use in source and binary forms, with or without+modification, are permitted provided that the following conditions are met:++1. Redistributions of source code must retain the above copyright notice, this+list of conditions and the following disclaimer.++2. Redistributions in binary form must reproduce the above copyright notice,+this list of conditions and the following disclaimer in the documentation+and/or other materials provided with the distribution.++3. Neither the name of the author nor the names of its contributors may be+used to endorse or promote products derived from this software without+specific prior written permission.++THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
README.md view
@@ -1,26 +1,26 @@-`singletons-th`
-===============
-
-[![Hackage](https://img.shields.io/hackage/v/singletons-th.svg)](http://hackage.haskell.org/package/singletons-th)
-
-`singletons-th` defines Template Haskell functionality that allows
-_promotion_ of term-level functions to type-level equivalents and
-_singling_ functions to dependently typed equivalents. This library was
-originally presented in
-[_Dependently Typed Programming with Singletons_](https://richarde.dev/papers/2012/singletons/paper.pdf),
-published at the Haskell Symposium, 2012. See also
-[the paper published at Haskell Symposium, 2014](https://richarde.dev/papers/2014/promotion/promotion.pdf),
-which describes how promotion works in greater detail.
-
-`singletons-th` generates code that relies on bleeding-edge GHC language
-extensions. As such, `singletons-th` only supports the latest major version
-of GHC (currently GHC 9.6). For more information,
-consult the `singletons`
-[`README`](https://github.com/goldfirere/singletons/blob/master/README.md).
-
-You may also be interested in the following related libraries:
-
-* The `singletons` library is a small, foundational library that defines
-  basic singleton-related types and definitions.
-* The `singletons-base` library uses `singletons-th` to define promoted and
-  singled functions from the `base` library, including the `Prelude`.
+`singletons-th`+===============++[![Hackage](https://img.shields.io/hackage/v/singletons-th.svg)](http://hackage.haskell.org/package/singletons-th)++`singletons-th` defines Template Haskell functionality that allows+_promotion_ of term-level functions to type-level equivalents and+_singling_ functions to dependently typed equivalents. This library was+originally presented in+[_Dependently Typed Programming with Singletons_](https://richarde.dev/papers/2012/singletons/paper.pdf),+published at the Haskell Symposium, 2012. See also+[the paper published at Haskell Symposium, 2014](https://richarde.dev/papers/2014/promotion/promotion.pdf),+which describes how promotion works in greater detail.++`singletons-th` generates code that relies on bleeding-edge GHC language+extensions. As such, `singletons-th` only supports the latest major version+of GHC (currently GHC 9.8). For more information,+consult the `singletons`+[`README`](https://github.com/goldfirere/singletons/blob/master/README.md).++You may also be interested in the following related libraries:++* The `singletons` library is a small, foundational library that defines+  basic singleton-related types and definitions.+* The `singletons-base` library uses `singletons-th` to define promoted and+  singled functions from the `base` library, including the `Prelude`.
Setup.hs view
@@ -1,2 +1,2 @@-import Distribution.Simple
-main = defaultMain
+import Distribution.Simple+main = defaultMain
singletons-th.cabal view
@@ -1,104 +1,105 @@-name:           singletons-th
-version:        3.2
-cabal-version:  1.24
-synopsis:       A framework for generating singleton types
-homepage:       http://www.github.com/goldfirere/singletons
-category:       Dependent Types
-author:         Richard Eisenberg <rae@cs.brynmawr.edu>, Jan Stolarek <jan.stolarek@p.lodz.pl>
-maintainer:     Ryan Scott <ryan.gl.scott@gmail.com>
-bug-reports:    https://github.com/goldfirere/singletons/issues
-stability:      experimental
-tested-with:    GHC == 9.6.1
-extra-source-files: README.md, CHANGES.md
-license:        BSD3
-license-file:   LICENSE
-build-type:     Simple
-description:
-    @singletons-th@ defines Template Haskell functionality that allows
-    /promotion/ of term-level functions to type-level equivalents and
-    /singling/ functions to dependently typed equivalents. This library was
-    originally presented in /Dependently Typed Programming with Singletons/,
-    published at the Haskell Symposium, 2012.
-    (<https://richarde.dev/papers/2012/singletons/paper.pdf>)
-    See also the paper published at Haskell Symposium, 2014, which describes
-    how promotion works in greater detail:
-    <https://richarde.dev/papers/2014/promotion/promotion.pdf>.
-    .
-    @singletons-th@ generates code that relies on bleeding-edge GHC language
-    extensions. As such, @singletons-th@ only supports the latest major version
-    of GHC (currently GHC 9.6). For more information,
-    consult the @singletons@
-    @<https://github.com/goldfirere/singletons/blob/master/README.md README>@.
-    .
-    You may also be interested in the following related libraries:
-    .
-    * The @singletons@ library is a small, foundational library that defines
-      basic singleton-related types and definitions.
-    .
-    * The @singletons-base@ library uses @singletons-th@ to define promoted and
-      singled functions from the @base@ library, including the "Prelude".
-
-source-repository this
-  type:     git
-  location: https://github.com/goldfirere/singletons.git
-  subdir:   singletons-th
-  tag:      v3.1.2
-
-source-repository head
-  type:     git
-  location: https://github.com/goldfirere/singletons.git
-  subdir:   singletons-th
-  branch:   master
-
-library
-  hs-source-dirs:     src
-  build-depends:      base             >= 4.18 && < 4.19,
-                      containers       >= 0.5,
-                      mtl              >= 2.2.1 && < 2.4,
-                      ghc-boot-th,
-                      singletons       == 3.0.*,
-                      syb              >= 0.4,
-                      template-haskell >= 2.20 && < 2.21,
-                      th-desugar       >= 1.15 && < 1.16,
-                      th-orphans       >= 0.13.11 && < 0.14,
-                      transformers     >= 0.5.2
-  default-language:   GHC2021
-  other-extensions:   TemplateHaskellQuotes
-  exposed-modules:    Data.Singletons.TH
-                      Data.Singletons.TH.CustomStar
-                      Data.Singletons.TH.Options
-                      Data.Singletons.TH.SuppressUnusedWarnings
-
-  other-modules:      Data.Singletons.TH.Deriving.Bounded
-                      Data.Singletons.TH.Deriving.Enum
-                      Data.Singletons.TH.Deriving.Eq
-                      Data.Singletons.TH.Deriving.Foldable
-                      Data.Singletons.TH.Deriving.Functor
-                      Data.Singletons.TH.Deriving.Infer
-                      Data.Singletons.TH.Deriving.Ord
-                      Data.Singletons.TH.Deriving.Show
-                      Data.Singletons.TH.Deriving.Traversable
-                      Data.Singletons.TH.Deriving.Util
-                      Data.Singletons.TH.Names
-                      Data.Singletons.TH.Partition
-                      Data.Singletons.TH.Promote
-                      Data.Singletons.TH.Promote.Defun
-                      Data.Singletons.TH.Promote.Monad
-                      Data.Singletons.TH.Promote.Type
-                      Data.Singletons.TH.Single
-                      Data.Singletons.TH.Single.Data
-                      Data.Singletons.TH.Single.Decide
-                      Data.Singletons.TH.Single.Defun
-                      Data.Singletons.TH.Single.Fixity
-                      Data.Singletons.TH.Single.Monad
-                      Data.Singletons.TH.Single.Type
-                      Data.Singletons.TH.Syntax
-                      Data.Singletons.TH.Util
-
-  -- singletons re-exports
-  reexported-modules: Data.Singletons
-                    , Data.Singletons.Decide
-                    , Data.Singletons.ShowSing
-                    , Data.Singletons.Sigma
-
-  ghc-options:        -Wall -Wcompat
+name:           singletons-th+version:        3.3+cabal-version:  1.24+synopsis:       A framework for generating singleton types+homepage:       http://www.github.com/goldfirere/singletons+category:       Dependent Types+author:         Richard Eisenberg <rae@cs.brynmawr.edu>, Jan Stolarek <jan.stolarek@p.lodz.pl>+maintainer:     Ryan Scott <ryan.gl.scott@gmail.com>+bug-reports:    https://github.com/goldfirere/singletons/issues+stability:      experimental+tested-with:    GHC == 9.8.1+extra-source-files: README.md, CHANGES.md+license:        BSD3+license-file:   LICENSE+build-type:     Simple+description:+    @singletons-th@ defines Template Haskell functionality that allows+    /promotion/ of term-level functions to type-level equivalents and+    /singling/ functions to dependently typed equivalents. This library was+    originally presented in /Dependently Typed Programming with Singletons/,+    published at the Haskell Symposium, 2012.+    (<https://richarde.dev/papers/2012/singletons/paper.pdf>)+    See also the paper published at Haskell Symposium, 2014, which describes+    how promotion works in greater detail:+    <https://richarde.dev/papers/2014/promotion/promotion.pdf>.+    .+    @singletons-th@ generates code that relies on bleeding-edge GHC language+    extensions. As such, @singletons-th@ only supports the latest major version+    of GHC (currently GHC 9.8). For more information,+    consult the @singletons@+    @<https://github.com/goldfirere/singletons/blob/master/README.md README>@.+    .+    You may also be interested in the following related libraries:+    .+    * The @singletons@ library is a small, foundational library that defines+      basic singleton-related types and definitions.+    .+    * The @singletons-base@ library uses @singletons-th@ to define promoted and+      singled functions from the @base@ library, including the "Prelude".++source-repository this+  type:     git+  location: https://github.com/goldfirere/singletons.git+  subdir:   singletons-th+  tag:      v3.1.2++source-repository head+  type:     git+  location: https://github.com/goldfirere/singletons.git+  subdir:   singletons-th+  branch:   master++library+  hs-source-dirs:     src+  build-depends:      base             >= 4.19 && < 4.20,+                      containers       >= 0.5,+                      mtl              >= 2.2.1 && < 2.4,+                      ghc-boot-th,+                      singletons       == 3.0.*,+                      syb              >= 0.4,+                      template-haskell >= 2.21 && < 2.22,+                      th-desugar       >= 1.16 && < 1.17,+                      th-orphans       >= 0.13.11 && < 0.14,+                      transformers     >= 0.5.2+  default-language:   GHC2021+  other-extensions:   TemplateHaskellQuotes+  exposed-modules:    Data.Singletons.TH+                      Data.Singletons.TH.CustomStar+                      Data.Singletons.TH.Options+                      Data.Singletons.TH.SuppressUnusedWarnings++  other-modules:      Data.Singletons.TH.Deriving.Bounded+                      Data.Singletons.TH.Deriving.Enum+                      Data.Singletons.TH.Deriving.Eq+                      Data.Singletons.TH.Deriving.Foldable+                      Data.Singletons.TH.Deriving.Functor+                      Data.Singletons.TH.Deriving.Infer+                      Data.Singletons.TH.Deriving.Ord+                      Data.Singletons.TH.Deriving.Show+                      Data.Singletons.TH.Deriving.Traversable+                      Data.Singletons.TH.Deriving.Util+                      Data.Singletons.TH.Names+                      Data.Singletons.TH.Partition+                      Data.Singletons.TH.Promote+                      Data.Singletons.TH.Promote.Defun+                      Data.Singletons.TH.Promote.Monad+                      Data.Singletons.TH.Promote.Type+                      Data.Singletons.TH.Single+                      Data.Singletons.TH.Single.Data+                      Data.Singletons.TH.Single.Decide+                      Data.Singletons.TH.Single.Defun+                      Data.Singletons.TH.Single.Fixity+                      Data.Singletons.TH.Single.Monad+                      Data.Singletons.TH.Single.Ord+                      Data.Singletons.TH.Single.Type+                      Data.Singletons.TH.Syntax+                      Data.Singletons.TH.Util++  -- singletons re-exports+  reexported-modules: Data.Singletons+                    , Data.Singletons.Decide+                    , Data.Singletons.ShowSing+                    , Data.Singletons.Sigma++  ghc-options:        -Wall -Wcompat
src/Data/Singletons/TH.hs view
@@ -1,173 +1,173 @@------------------------------------------------------------------------------
--- |
--- Module      :  Data.Singletons.TH
--- Copyright   :  (C) 2013 Richard Eisenberg
--- License     :  BSD-style (see LICENSE)
--- Maintainer  :  Ryan Scott
--- Stability   :  experimental
--- Portability :  non-portable
---
--- This module contains basic functionality for deriving your own singletons
--- via Template Haskell. Note that this module does not define any singled
--- definitions on its own. For a version of this module that comes pre-equipped
--- with several singled definitions based on the "Prelude", see
--- @Data.Singletons.Base.TH@ from the @singletons-base@ library.
---
-----------------------------------------------------------------------------
-
-module Data.Singletons.TH (
-  -- * Primary Template Haskell generation functions
-  singletons, singletonsOnly, genSingletons,
-  promote, promoteOnly, genDefunSymbols, genPromotions,
-
-  -- ** Functions to generate equality instances
-  promoteEqInstances, promoteEqInstance,
-  singEqInstances, singEqInstance,
-  singDecideInstances, singDecideInstance,
-
-  -- ** Functions to generate 'Ord' instances
-  promoteOrdInstances, promoteOrdInstance,
-  singOrdInstances, singOrdInstance,
-
-  -- ** Functions to generate 'Bounded' instances
-  promoteBoundedInstances, promoteBoundedInstance,
-  singBoundedInstances, singBoundedInstance,
-
-  -- ** Functions to generate 'Enum' instances
-  promoteEnumInstances, promoteEnumInstance,
-  singEnumInstances, singEnumInstance,
-
-  -- ** Functions to generate 'Show' instances
-  promoteShowInstances, promoteShowInstance,
-  singShowInstances, singShowInstance,
-  showSingInstances, showSingInstance,
-
-  -- ** Utility functions
-  singITyConInstances, singITyConInstance,
-  cases, sCases,
-
-  -- * Basic singleton definitions
-  module Data.Singletons,
-
-  -- * Auxiliary definitions
-  SDecide(..), (:~:)(..), Void, Refuted, Decision(..),
-
-  SuppressUnusedWarnings(..)
-
- ) where
-
-import Control.Arrow ( first )
-import Data.Singletons
-import Data.Singletons.Decide
-import Data.Singletons.TH.Options
-import Data.Singletons.TH.Promote
-import Data.Singletons.TH.Single
-import Data.Singletons.TH.SuppressUnusedWarnings
-import Data.Singletons.TH.Util
-import Language.Haskell.TH
-import Language.Haskell.TH.Desugar
-
--- | The function 'cases' generates a case expression where each right-hand side
--- is identical. This may be useful if the type-checker requires knowledge of which
--- constructor is used to satisfy equality or type-class constraints, but where
--- each constructor is treated the same.
---
--- Here is a simple example to illustrate where 'cases' can be useful. Suppose
--- you use @singletons-th@ to single this code:
---
--- @
--- $('singletons' [d|
---   foo :: Bool -> ()
---   foo True = ()
---   foo False = ()
---   |])
--- @
---
--- And that you want to write a function of this type:
---
--- @
--- bar :: SBool b -> STuple0 (Foo b)
--- @
---
--- How would you do this? You might be tempted to write the following:
---
--- @
--- bar _ = STuple0
--- @
---
--- However, this won't typecheck, as Foo b won't reduce to @'()@ unless GHC
--- knows @b@ is either 'True' or 'False'. In order to convince GHC of this, you
--- must explicitly match on each of the data constructors of @SBool@:
---
--- @
--- bar :: SBool b -> STuple0 (Foo b)
--- bar b = case b of
---   STrue  -> STuple0
---   SFalse -> STuple0
--- @
---
--- This is doable, but it is somewhat tedious. After all, the right-hand side
--- of each case alternative is exactly the same! This only becomes more tedious
--- when you deal with data types with lots of lots of data constructors. For
--- this reason, @singletons-th@ offers the 'cases' function to generate this
--- boilerplate code for you. The following is equivalent to the implementation
--- of @bar@ above:
---
--- @
--- bar :: SBool b -> STuple0 (Foo b)
--- bar b = $(cases ''SBool [| b |] [| STuple0 |])
--- @
-cases :: DsMonad q
-      => Name        -- ^ The head of the type of the scrutinee. (e.g., @''SBool@)
-      -> q Exp       -- ^ The scrutinee, in a Template Haskell quote
-      -> q Exp       -- ^ The body, in a Template Haskell quote
-      -> q Exp
-cases tyName expq bodyq = do
-  dinfo <- dsReify tyName
-  case dinfo of
-    Just (DTyConI (DDataD _ _ _ _ _ ctors _) _) ->
-      expToTH <$> buildCases (map extractNameArgs ctors) expq bodyq
-    Just _ ->
-      fail $ "Using <<cases>> with something other than a type constructor: "
-              ++ (show tyName)
-    _ -> fail $ "Cannot find " ++ show tyName
-
--- | The function 'sCases' generates a case expression where each right-hand side
--- is identical. This may be useful if the type-checker requires knowledge of which
--- constructor is used to satisfy equality or type-class constraints, but where
--- each constructor is treated the same.
---
--- For 'sCases', unlike 'cases', the scrutinee is a singleton. But make sure to
--- pass in the name of the /original/ datatype, preferring @''Maybe@ over
--- @''SMaybe@. In other words, @sCases ''Maybe@ is equivalent to
--- @'cases' ''SMaybe@.
-sCases :: OptionsMonad q
-       => Name        -- ^ The head of the type the scrutinee's type is based on.
-                      -- (Like @''Maybe@ or @''Bool@.)
-       -> q Exp       -- ^ The scrutinee, in a Template Haskell quote
-       -> q Exp       -- ^ The body, in a Template Haskell quote
-       -> q Exp
-sCases tyName expq bodyq = do
-  opts  <- getOptions
-  dinfo <- dsReify tyName
-  case dinfo of
-    Just (DTyConI (DDataD _ _ _ _ _ ctors _) _) ->
-      let ctor_stuff = map (first (singledDataConName opts) . extractNameArgs) ctors in
-      expToTH <$> buildCases ctor_stuff expq bodyq
-    Just _ ->
-      fail $ "Using <<cases>> with something other than a type constructor: "
-              ++ (show tyName)
-    _ -> fail $ "Cannot find " ++ show tyName
-
-buildCases :: DsMonad m
-           => [(Name, Int)]
-           -> m Exp  -- scrutinee
-           -> m Exp  -- body
-           -> m DExp
-buildCases ctor_infos expq bodyq =
-  DCaseE <$> (dsExp =<< expq) <*>
-             mapM (\con -> DMatch (conToPat con) <$> (dsExp =<< bodyq)) ctor_infos
-  where
-    conToPat :: (Name, Int) -> DPat
-    conToPat (name, num_fields) =
-      DConP name [] (replicate num_fields DWildP)
+-----------------------------------------------------------------------------+-- |+-- Module      :  Data.Singletons.TH+-- Copyright   :  (C) 2013 Richard Eisenberg+-- License     :  BSD-style (see LICENSE)+-- Maintainer  :  Ryan Scott+-- Stability   :  experimental+-- Portability :  non-portable+--+-- This module contains basic functionality for deriving your own singletons+-- via Template Haskell. Note that this module does not define any singled+-- definitions on its own. For a version of this module that comes pre-equipped+-- with several singled definitions based on the "Prelude", see+-- @Data.Singletons.Base.TH@ from the @singletons-base@ library.+--+----------------------------------------------------------------------------++module Data.Singletons.TH (+  -- * Primary Template Haskell generation functions+  singletons, singletonsOnly, genSingletons,+  promote, promoteOnly, genDefunSymbols, genPromotions,++  -- ** Functions to generate equality instances+  promoteEqInstances, promoteEqInstance,+  singEqInstances, singEqInstance,+  singDecideInstances, singDecideInstance,++  -- ** Functions to generate 'Ord' instances+  promoteOrdInstances, promoteOrdInstance,+  singOrdInstances, singOrdInstance,++  -- ** Functions to generate 'Bounded' instances+  promoteBoundedInstances, promoteBoundedInstance,+  singBoundedInstances, singBoundedInstance,++  -- ** Functions to generate 'Enum' instances+  promoteEnumInstances, promoteEnumInstance,+  singEnumInstances, singEnumInstance,++  -- ** Functions to generate 'Show' instances+  promoteShowInstances, promoteShowInstance,+  singShowInstances, singShowInstance,+  showSingInstances, showSingInstance,++  -- ** Utility functions+  singITyConInstances, singITyConInstance,+  cases, sCases,++  -- * Basic singleton definitions+  module Data.Singletons,++  -- * Auxiliary definitions+  SDecide(..), (:~:)(..), Void, Refuted, Decision(..),++  SuppressUnusedWarnings(..)++ ) where++import Control.Arrow ( first )+import Data.Singletons+import Data.Singletons.Decide+import Data.Singletons.TH.Options+import Data.Singletons.TH.Promote+import Data.Singletons.TH.Single+import Data.Singletons.TH.SuppressUnusedWarnings+import Data.Singletons.TH.Util+import Language.Haskell.TH+import Language.Haskell.TH.Desugar++-- | The function 'cases' generates a case expression where each right-hand side+-- is identical. This may be useful if the type-checker requires knowledge of which+-- constructor is used to satisfy equality or type-class constraints, but where+-- each constructor is treated the same.+--+-- Here is a simple example to illustrate where 'cases' can be useful. Suppose+-- you use @singletons-th@ to single this code:+--+-- @+-- $('singletons' [d|+--   foo :: Bool -> ()+--   foo True = ()+--   foo False = ()+--   |])+-- @+--+-- And that you want to write a function of this type:+--+-- @+-- bar :: SBool b -> STuple0 (Foo b)+-- @+--+-- How would you do this? You might be tempted to write the following:+--+-- @+-- bar _ = STuple0+-- @+--+-- However, this won't typecheck, as Foo b won't reduce to @'()@ unless GHC+-- knows @b@ is either 'True' or 'False'. In order to convince GHC of this, you+-- must explicitly match on each of the data constructors of @SBool@:+--+-- @+-- bar :: SBool b -> STuple0 (Foo b)+-- bar b = case b of+--   STrue  -> STuple0+--   SFalse -> STuple0+-- @+--+-- This is doable, but it is somewhat tedious. After all, the right-hand side+-- of each case alternative is exactly the same! This only becomes more tedious+-- when you deal with data types with lots of lots of data constructors. For+-- this reason, @singletons-th@ offers the 'cases' function to generate this+-- boilerplate code for you. The following is equivalent to the implementation+-- of @bar@ above:+--+-- @+-- bar :: SBool b -> STuple0 (Foo b)+-- bar b = $(cases ''SBool [| b |] [| STuple0 |])+-- @+cases :: DsMonad q+      => Name        -- ^ The head of the type of the scrutinee. (e.g., @''SBool@)+      -> q Exp       -- ^ The scrutinee, in a Template Haskell quote+      -> q Exp       -- ^ The body, in a Template Haskell quote+      -> q Exp+cases tyName expq bodyq = do+  dinfo <- dsReify tyName+  case dinfo of+    Just (DTyConI (DDataD _ _ _ _ _ ctors _) _) ->+      expToTH <$> buildCases (map extractNameArgs ctors) expq bodyq+    Just _ ->+      fail $ "Using <<cases>> with something other than a type constructor: "+              ++ (show tyName)+    _ -> fail $ "Cannot find " ++ show tyName++-- | The function 'sCases' generates a case expression where each right-hand side+-- is identical. This may be useful if the type-checker requires knowledge of which+-- constructor is used to satisfy equality or type-class constraints, but where+-- each constructor is treated the same.+--+-- For 'sCases', unlike 'cases', the scrutinee is a singleton. But make sure to+-- pass in the name of the /original/ datatype, preferring @''Maybe@ over+-- @''SMaybe@. In other words, @sCases ''Maybe@ is equivalent to+-- @'cases' ''SMaybe@.+sCases :: OptionsMonad q+       => Name        -- ^ The head of the type the scrutinee's type is based on.+                      -- (Like @''Maybe@ or @''Bool@.)+       -> q Exp       -- ^ The scrutinee, in a Template Haskell quote+       -> q Exp       -- ^ The body, in a Template Haskell quote+       -> q Exp+sCases tyName expq bodyq = do+  opts  <- getOptions+  dinfo <- dsReify tyName+  case dinfo of+    Just (DTyConI (DDataD _ _ _ _ _ ctors _) _) ->+      let ctor_stuff = map (first (singledDataConName opts) . extractNameArgs) ctors in+      expToTH <$> buildCases ctor_stuff expq bodyq+    Just _ ->+      fail $ "Using <<cases>> with something other than a type constructor: "+              ++ (show tyName)+    _ -> fail $ "Cannot find " ++ show tyName++buildCases :: DsMonad m+           => [(Name, Int)]+           -> m Exp  -- scrutinee+           -> m Exp  -- body+           -> m DExp+buildCases ctor_infos expq bodyq =+  DCaseE <$> (dsExp =<< expq) <*>+             mapM (\con -> DMatch (conToPat con) <$> (dsExp =<< bodyq)) ctor_infos+  where+    conToPat :: (Name, Int) -> DPat+    conToPat (name, num_fields) =+      DConP name [] (replicate num_fields DWildP)
src/Data/Singletons/TH/CustomStar.hs view
@@ -1,158 +1,158 @@-{-# LANGUAGE TemplateHaskellQuotes #-}
-
------------------------------------------------------------------------------
--- |
--- Module      :  Data.Singletons.TH.CustomStar
--- Copyright   :  (C) 2013 Richard Eisenberg
--- License     :  BSD-style (see LICENSE)
--- Maintainer  :  Ryan Scott
--- Stability   :  experimental
--- Portability :  non-portable
---
--- This file implements 'singletonStar', which generates a datatype @Rep@ and associated
--- singleton from a list of types. The promoted version of @Rep@ is kind @*@ and the
--- Haskell types themselves. This is still very experimental, so expect unusual
--- results!
---
--- See also @Data.Singletons.Base.CustomStar@ from @singletons-base@, a
--- variant of this module that also re-exports related definitions from
--- @Prelude.Singletons@.
---
-----------------------------------------------------------------------------
-
-module Data.Singletons.TH.CustomStar (
-  singletonStar,
-
-  module Data.Singletons.TH
-  ) where
-
-import Language.Haskell.TH
-import Data.Singletons.TH
-import Data.Singletons.TH.Deriving.Eq
-import Data.Singletons.TH.Deriving.Infer
-import Data.Singletons.TH.Deriving.Ord
-import Data.Singletons.TH.Deriving.Show
-import Data.Singletons.TH.Promote
-import Data.Singletons.TH.Promote.Monad
-import Data.Singletons.TH.Names
-import Data.Singletons.TH.Options
-import Data.Singletons.TH.Single
-import Data.Singletons.TH.Single.Data
-import Data.Singletons.TH.Single.Monad
-import Data.Singletons.TH.Syntax
-import Data.Singletons.TH.Util
-import Control.Monad
-import Data.Maybe
-import Language.Haskell.TH.Desugar
-
--- | Produce a representation and singleton for the collection of types given.
---
--- A datatype @Rep@ is created, with one constructor per type in the declared
--- universe. When this type is promoted by the @singletons-th@ library, the
--- constructors become full types in @*@, not just promoted data constructors.
---
--- For example,
---
--- > $(singletonStar [''Nat, ''Bool, ''Maybe])
---
--- generates the following:
---
--- > data Rep = Nat | Bool | Maybe Rep deriving (Eq, Ord, Read, Show)
---
--- and its singleton. However, because @Rep@ is promoted to @*@, the singleton
--- is perhaps slightly unexpected:
---
--- > data SRep (a :: *) where
--- >   SNat :: Sing Nat
--- >   SBool :: Sing Bool
--- >   SMaybe :: Sing a -> Sing (Maybe a)
--- > type instance Sing = SRep
---
--- The unexpected part is that @Nat@, @Bool@, and @Maybe@ above are the real @Nat@,
--- @Bool@, and @Maybe@, not just promoted data constructors.
---
--- Please note that this function is /very/ experimental. Use at your own risk.
-singletonStar :: OptionsMonad q
-              => [Name]        -- ^ A list of Template Haskell @Name@s for types
-              -> q [Dec]
-singletonStar names = do
-  kinds <- mapM getKind names
-  ctors <- zipWithM (mkCtor True) names kinds
-  let repDecl = DDataD Data [] repName [] (Just (DConT typeKindName)) ctors
-                         [DDerivClause Nothing (map DConT [''Eq, ''Ord, ''Read, ''Show])]
-  fakeCtors <- zipWithM (mkCtor False) names kinds
-  let dataDecl = DataDecl Data repName [] fakeCtors
-  -- Why do we need withLocalDeclarations here? It's because we end up
-  -- expanding type synonyms when deriving instances for Rep, which requires
-  -- reifying Rep itself. Since Rep hasn't been spliced in yet, we must put it
-  -- into the local declarations.
-  withLocalDeclarations [decToTH repDecl] $ do
-    -- We opt to infer the constraints for the Eq instance here so that when it's
-    -- promoted, Rep will be promoted to Type.
-    dataDeclEqCxt <- inferConstraints (DConT ''Eq) (DConT repName) fakeCtors
-    let dataDeclEqInst = DerivedDecl (Just dataDeclEqCxt) (DConT repName) repName dataDecl
-    eqInst   <- mkEqInstance Nothing (DConT repName) dataDecl
-    ordInst  <- mkOrdInstance Nothing (DConT repName) dataDecl
-    showInst <- mkShowInstance Nothing (DConT repName) dataDecl
-    (pInsts, promDecls) <- promoteM [] $ do _ <- promoteDataDec dataDecl
-                                            traverse (promoteInstanceDec mempty mempty)
-                                              [eqInst, ordInst, showInst]
-    singletonDecls <- singDecsM [] $ do decs1 <- singDataD dataDecl
-                                        decs2 <- singDerivedEqDecs dataDeclEqInst
-                                        decs3 <- traverse singInstD pInsts
-                                        return (decs1 ++ decs2 ++ decs3)
-    return $ decsToTH $ repDecl :
-                        promDecls ++
-                        singletonDecls
-  where -- get the kinds of the arguments to the tycon with the given name
-        getKind :: DsMonad q => Name -> q [DKind]
-        getKind name = do
-          info <- reifyWithLocals name
-          dinfo <- dsInfo info
-          case dinfo of
-            DTyConI (DDataD _ (_:_) _ _ _ _ _) _ ->
-               fail "Cannot make a representation of a constrained data type"
-            DTyConI (DDataD _ [] _ tvbs mk _ _) _ -> do
-               all_tvbs <- buildDataDTvbs tvbs mk
-               return $ map (fromMaybe (DConT typeKindName) . extractTvbKind) all_tvbs
-            DTyConI (DTySynD _ tvbs _) _ ->
-               return $ map (fromMaybe (DConT typeKindName) . extractTvbKind) tvbs
-            DPrimTyConI _ n _ ->
-               return $ replicate n $ DConT typeKindName
-            _ -> fail $ "Invalid thing for representation: " ++ (show name)
-
-        -- first parameter is whether this is a real ctor (with a fresh name)
-        -- or a fake ctor (when the name is actually a Haskell type)
-        mkCtor :: DsMonad q => Bool -> Name -> [DKind] -> q DCon
-        mkCtor real name args = do
-          (types, vars) <- evalForPair $ mapM (kindToType []) args
-          dataName <- if real then mkDataName (nameBase name) else return name
-          return $ DCon (map (`DPlainTV` SpecifiedSpec) vars) [] dataName
-                        (DNormalC False (map (\ty -> (noBang, ty)) types))
-                        (DConT repName)
-            where
-              noBang = Bang NoSourceUnpackedness NoSourceStrictness
-
-        -- demote a kind back to a type, accumulating any unbound parameters
-        kindToType :: DsMonad q => [DTypeArg] -> DKind -> QWithAux [Name] q DType
-        kindToType _    (DForallT _ _)      = fail "Explicit forall encountered in kind"
-        kindToType _    (DConstrainedT _ _) = fail "Explicit constraint encountered in kind"
-        kindToType args (DAppT f a) = do
-          a' <- kindToType [] a
-          kindToType (DTANormal a' : args) f
-        kindToType args (DAppKindT f a) = do
-          a' <- kindToType [] a
-          kindToType (DTyArg a' : args) f
-        kindToType args (DSigT t k) = do
-          t' <- kindToType [] t
-          k' <- kindToType [] k
-          return $ DSigT t' k' `applyDType` args
-        kindToType args (DVarT n) = do
-          addElement n
-          return $ DVarT n `applyDType` args
-        kindToType args (DConT n)    = return $ DConT name `applyDType` args
-          where name | isTypeKindName n = repName
-                     | otherwise        = n
-        kindToType args DArrowT      = return $ DArrowT    `applyDType` args
-        kindToType args k@(DLitT {}) = return $ k          `applyDType` args
-        kindToType args DWildCardT   = return $ DWildCardT `applyDType` args
+{-# LANGUAGE TemplateHaskellQuotes #-}++-----------------------------------------------------------------------------+-- |+-- Module      :  Data.Singletons.TH.CustomStar+-- Copyright   :  (C) 2013 Richard Eisenberg+-- License     :  BSD-style (see LICENSE)+-- Maintainer  :  Ryan Scott+-- Stability   :  experimental+-- Portability :  non-portable+--+-- This file implements 'singletonStar', which generates a datatype @Rep@ and associated+-- singleton from a list of types. The promoted version of @Rep@ is kind @*@ and the+-- Haskell types themselves. This is still very experimental, so expect unusual+-- results!+--+-- See also @Data.Singletons.Base.CustomStar@ from @singletons-base@, a+-- variant of this module that also re-exports related definitions from+-- @Prelude.Singletons@.+--+----------------------------------------------------------------------------++module Data.Singletons.TH.CustomStar (+  singletonStar,++  module Data.Singletons.TH+  ) where++import Language.Haskell.TH+import Data.Singletons.TH+import Data.Singletons.TH.Deriving.Eq+import Data.Singletons.TH.Deriving.Infer+import Data.Singletons.TH.Deriving.Ord+import Data.Singletons.TH.Deriving.Show+import Data.Singletons.TH.Promote+import Data.Singletons.TH.Promote.Monad+import Data.Singletons.TH.Names+import Data.Singletons.TH.Options+import Data.Singletons.TH.Single+import Data.Singletons.TH.Single.Data+import Data.Singletons.TH.Single.Monad+import Data.Singletons.TH.Syntax+import Data.Singletons.TH.Util+import Control.Monad+import Data.Maybe+import Language.Haskell.TH.Desugar++-- | Produce a representation and singleton for the collection of types given.+--+-- A datatype @Rep@ is created, with one constructor per type in the declared+-- universe. When this type is promoted by the @singletons-th@ library, the+-- constructors become full types in @*@, not just promoted data constructors.+--+-- For example,+--+-- > $(singletonStar [''Nat, ''Bool, ''Maybe])+--+-- generates the following:+--+-- > data Rep = Nat | Bool | Maybe Rep deriving (Eq, Ord, Read, Show)+--+-- and its singleton. However, because @Rep@ is promoted to @*@, the singleton+-- is perhaps slightly unexpected:+--+-- > data SRep (a :: *) where+-- >   SNat :: Sing Nat+-- >   SBool :: Sing Bool+-- >   SMaybe :: Sing a -> Sing (Maybe a)+-- > type instance Sing = SRep+--+-- The unexpected part is that @Nat@, @Bool@, and @Maybe@ above are the real @Nat@,+-- @Bool@, and @Maybe@, not just promoted data constructors.+--+-- Please note that this function is /very/ experimental. Use at your own risk.+singletonStar :: OptionsMonad q+              => [Name]        -- ^ A list of Template Haskell @Name@s for types+              -> q [Dec]+singletonStar names = do+  kinds <- mapM getKind names+  ctors <- zipWithM (mkCtor True) names kinds+  let repDecl = DDataD Data [] repName [] (Just (DConT typeKindName)) ctors+                         [DDerivClause Nothing (map DConT [''Eq, ''Ord, ''Read, ''Show])]+  fakeCtors <- zipWithM (mkCtor False) names kinds+  let dataDecl = DataDecl Data repName [] fakeCtors+  -- Why do we need withLocalDeclarations here? It's because we end up+  -- expanding type synonyms when deriving instances for Rep, which requires+  -- reifying Rep itself. Since Rep hasn't been spliced in yet, we must put it+  -- into the local declarations.+  withLocalDeclarations [decToTH repDecl] $ do+    -- We opt to infer the constraints for the Eq instance here so that when it's+    -- promoted, Rep will be promoted to Type.+    dataDeclEqCxt <- inferConstraints (DConT ''Eq) (DConT repName) fakeCtors+    let dataDeclEqInst = DerivedDecl (Just dataDeclEqCxt) (DConT repName) repName dataDecl+    eqInst   <- mkEqInstance Nothing (DConT repName) dataDecl+    ordInst  <- mkOrdInstance Nothing (DConT repName) dataDecl+    showInst <- mkShowInstance Nothing (DConT repName) dataDecl+    (pInsts, promDecls) <- promoteM [] $ do _ <- promoteDataDec dataDecl+                                            traverse (promoteInstanceDec mempty mempty)+                                              [eqInst, ordInst, showInst]+    singletonDecls <- singDecsM [] $ do decs1 <- singDataD dataDecl+                                        decs2 <- singDerivedEqDecs dataDeclEqInst+                                        decs3 <- traverse singInstD pInsts+                                        return (decs1 ++ decs2 ++ decs3)+    return $ decsToTH $ repDecl :+                        promDecls +++                        singletonDecls+  where -- get the kinds of the arguments to the tycon with the given name+        getKind :: DsMonad q => Name -> q [DKind]+        getKind name = do+          info <- reifyWithLocals name+          dinfo <- dsInfo info+          case dinfo of+            DTyConI (DDataD _ (_:_) _ _ _ _ _) _ ->+               fail "Cannot make a representation of a constrained data type"+            DTyConI (DDataD _ [] _ tvbs mk _ _) _ -> do+               all_tvbs <- buildDataDTvbs tvbs mk+               return $ map (fromMaybe (DConT typeKindName) . extractTvbKind) all_tvbs+            DTyConI (DTySynD _ tvbs _) _ ->+               return $ map (fromMaybe (DConT typeKindName) . extractTvbKind) tvbs+            DPrimTyConI _ n _ ->+               return $ replicate n $ DConT typeKindName+            _ -> fail $ "Invalid thing for representation: " ++ (show name)++        -- first parameter is whether this is a real ctor (with a fresh name)+        -- or a fake ctor (when the name is actually a Haskell type)+        mkCtor :: DsMonad q => Bool -> Name -> [DKind] -> q DCon+        mkCtor real name args = do+          (types, vars) <- evalForPair $ mapM (kindToType []) args+          dataName <- if real then mkDataName (nameBase name) else return name+          return $ DCon (map (`DPlainTV` SpecifiedSpec) vars) [] dataName+                        (DNormalC False (map (\ty -> (noBang, ty)) types))+                        (DConT repName)+            where+              noBang = Bang NoSourceUnpackedness NoSourceStrictness++        -- demote a kind back to a type, accumulating any unbound parameters+        kindToType :: DsMonad q => [DTypeArg] -> DKind -> QWithAux [Name] q DType+        kindToType _    (DForallT _ _)      = fail "Explicit forall encountered in kind"+        kindToType _    (DConstrainedT _ _) = fail "Explicit constraint encountered in kind"+        kindToType args (DAppT f a) = do+          a' <- kindToType [] a+          kindToType (DTANormal a' : args) f+        kindToType args (DAppKindT f a) = do+          a' <- kindToType [] a+          kindToType (DTyArg a' : args) f+        kindToType args (DSigT t k) = do+          t' <- kindToType [] t+          k' <- kindToType [] k+          return $ DSigT t' k' `applyDType` args+        kindToType args (DVarT n) = do+          addElement n+          return $ DVarT n `applyDType` args+        kindToType args (DConT n)    = return $ DConT name `applyDType` args+          where name | isTypeKindName n = repName+                     | otherwise        = n+        kindToType args DArrowT      = return $ DArrowT    `applyDType` args+        kindToType args k@(DLitT {}) = return $ k          `applyDType` args+        kindToType args DWildCardT   = return $ DWildCardT `applyDType` args
src/Data/Singletons/TH/Deriving/Bounded.hs view
@@ -1,59 +1,67 @@------------------------------------------------------------------------------
--- |
--- Module      :  Data.Singletons.TH.Deriving.Bounded
--- Copyright   :  (C) 2015 Richard Eisenberg
--- License     :  BSD-style (see LICENSE)
--- Maintainer  :  Ryan Scott
--- Stability   :  experimental
--- Portability :  non-portable
---
--- Implements deriving of Bounded instances
---
-----------------------------------------------------------------------------
-
-module Data.Singletons.TH.Deriving.Bounded where
-
-import Language.Haskell.TH.Ppr
-import Language.Haskell.TH.Desugar
-import Data.Singletons.TH.Deriving.Infer
-import Data.Singletons.TH.Deriving.Util
-import Data.Singletons.TH.Names
-import Data.Singletons.TH.Syntax
-import Data.Singletons.TH.Util
-import Control.Monad
-
--- monadic only for failure and parallelism with other functions
--- that make instances
-mkBoundedInstance :: DsMonad q => DerivDesc q
-mkBoundedInstance mb_ctxt ty (DataDecl _ _ _ cons) = do
-  -- We can derive instance of Bounded if datatype is an enumeration (all
-  -- constructors must be nullary) or has only one constructor. See Section 11
-  -- of Haskell 2010 Language Report.
-  -- Note that order of conditions below is important.
-  when (null cons
-       || (any (\(DCon _ _ _ f _) -> not . null . tysOfConFields $ f) cons
-            && (not . null . tail $ cons))) $
-       fail ("Can't derive Bounded instance for "
-             ++ pprint (typeToTH ty) ++ ".")
-  -- at this point we know that either we have a datatype that has only one
-  -- constructor or a datatype where each constructor is nullary
-  let (DCon _ _ minName fields _) = head cons
-      (DCon _ _ maxName _ _)      = last cons
-      fieldsCount   = length $ tysOfConFields fields
-      (minRHS, maxRHS) = case fieldsCount of
-        0 -> (DConE minName, DConE maxName)
-        _ ->
-          let minEqnRHS = foldExp (DConE minName)
-                                  (replicate fieldsCount (DVarE minBoundName))
-              maxEqnRHS = foldExp (DConE maxName)
-                                  (replicate fieldsCount (DVarE maxBoundName))
-          in (minEqnRHS, maxEqnRHS)
-
-      mk_rhs rhs = UFunction [DClause [] rhs]
-  constraints <- inferConstraintsDef mb_ctxt (DConT boundedName) ty cons
-  return $ InstDecl { id_cxt = constraints
-                    , id_name = boundedName
-                    , id_arg_tys = [ty]
-                    , id_sigs  = mempty
-                    , id_meths = [ (minBoundName, mk_rhs minRHS)
-                                 , (maxBoundName, mk_rhs maxRHS) ] }
+-----------------------------------------------------------------------------+-- |+-- Module      :  Data.Singletons.TH.Deriving.Bounded+-- Copyright   :  (C) 2015 Richard Eisenberg+-- License     :  BSD-style (see LICENSE)+-- Maintainer  :  Ryan Scott+-- Stability   :  experimental+-- Portability :  non-portable+--+-- Implements deriving of Bounded instances+--+----------------------------------------------------------------------------++module Data.Singletons.TH.Deriving.Bounded where++import Language.Haskell.TH.Ppr+import Language.Haskell.TH.Desugar+import Data.Singletons.TH.Deriving.Infer+import Data.Singletons.TH.Deriving.Util+import Data.Singletons.TH.Names+import Data.Singletons.TH.Syntax+import Data.Singletons.TH.Util+import Control.Monad++-- monadic only for failure and parallelism with other functions+-- that make instances+mkBoundedInstance :: DsMonad q => DerivDesc q+mkBoundedInstance mb_ctxt ty (DataDecl _ _ _ cons) = do+  -- We can derive instance of Bounded if datatype is an enumeration (all+  -- constructors must be nullary) or has only one constructor. See Section 11+  -- of Haskell 2010 Language Report.+  -- Note that order of conditions below is important.+  let illegal_bounded_inst =+        case cons of+          [] -> True+          _:cons' ->+            any (\(DCon _ _ _ f _) -> not . null . tysOfConFields $ f) cons+             && not (null cons')+  when illegal_bounded_inst $+       fail ("Can't derive Bounded instance for "+             ++ pprint (typeToTH ty) ++ ".")+  -- at this point we know that either we have a datatype that has only one+  -- constructor or a datatype where each constructor is nullary+  let internal_err = fail "Internal error (mkBoundedInstance): non-empty list of constructors"+  DCon _ _ minName fields _ <-+    case cons of+      (c:_) -> pure c+      [] -> internal_err+  let (_, DCon _ _ maxName _ _) = snocView cons+      fieldsCount   = length $ tysOfConFields fields+      (minRHS, maxRHS) = case fieldsCount of+        0 -> (DConE minName, DConE maxName)+        _ ->+          let minEqnRHS = foldExp (DConE minName)+                                  (replicate fieldsCount (DVarE minBoundName))+              maxEqnRHS = foldExp (DConE maxName)+                                  (replicate fieldsCount (DVarE maxBoundName))+          in (minEqnRHS, maxEqnRHS)++      mk_rhs rhs = UFunction [DClause [] rhs]+  constraints <- inferConstraintsDef mb_ctxt (DConT boundedName) ty cons+  return $ InstDecl { id_cxt = constraints+                    , id_name = boundedName+                    , id_arg_tys = [ty]+                    , id_sigs  = mempty+                    , id_meths = [ (minBoundName, mk_rhs minRHS)+                                 , (maxBoundName, mk_rhs maxRHS) ] }
src/Data/Singletons/TH/Deriving/Enum.hs view
@@ -1,60 +1,60 @@------------------------------------------------------------------------------
--- |
--- Module      :  Data.Singletons.TH.Deriving.Enum
--- Copyright   :  (C) 2015 Richard Eisenberg
--- License     :  BSD-style (see LICENSE)
--- Maintainer  :  Ryan Scott
--- Stability   :  experimental
--- Portability :  non-portable
---
--- Implements deriving of Enum instances
---
-----------------------------------------------------------------------------
-
-module Data.Singletons.TH.Deriving.Enum ( mkEnumInstance ) where
-
-import Language.Haskell.TH.Syntax
-import Language.Haskell.TH.Ppr
-import Language.Haskell.TH.Desugar
-import Data.Singletons.TH.Deriving.Util
-import Data.Singletons.TH.Names
-import Data.Singletons.TH.Syntax
-import Data.Singletons.TH.Util
-import Control.Monad
-import Data.Maybe
-
--- monadic for failure only
-mkEnumInstance :: DsMonad q => DerivDesc q
-mkEnumInstance mb_ctxt ty (DataDecl _ _ _ cons) = do
-  -- GHC only allows deriving Enum instances for enumeration types (i.e., those
-  -- data types whose constructors all lack fields). We perform the same
-  -- validity check here.
-  --
-  -- GHC actually goes further than we do. GHC will give a specific error
-  -- message if you attempt to derive an instance for a "non-vanilla" data
-  -- type—that is, a data type that uses features not expressible with
-  -- Haskell98 syntax, such as existential quantification. Checking whether
-  -- a type variable is existentially quantified is difficult in Template
-  -- Haskell, so we omit this check.
-  when (null cons ||
-        any (\(DCon _ _ _ f _) -> not (null $ tysOfConFields f)) cons) $
-    fail ("Can't derive Enum instance for " ++ pprint (typeToTH ty) ++ ".")
-
-  n <- qNewName "n"
-  let to_enum = UFunction [DClause [DVarP n] (to_enum_rhs cons [0..])]
-      to_enum_rhs [] _ = DVarE errorName `DAppE` DLitE (StringL "toEnum: bad argument")
-      to_enum_rhs (DCon _ _ name _ _ : rest) (num:nums) =
-        DCaseE (DVarE equalsName `DAppE` DVarE n `DAppE` DLitE (IntegerL num))
-          [ DMatch (DConP trueName  [] []) (DConE name)
-          , DMatch (DConP falseName [] []) (to_enum_rhs rest nums) ]
-      to_enum_rhs _ _ = error "Internal error: exhausted infinite list in to_enum_rhs"
-
-      from_enum = UFunction (zipWith (\i con -> DClause [DConP (extractName con) [] []]
-                                                        (DLitE (IntegerL i)))
-                                     [0..] cons)
-  return (InstDecl { id_cxt     = fromMaybe [] mb_ctxt
-                   , id_name    = enumName
-                   , id_arg_tys = [ty]
-                   , id_sigs    = mempty
-                   , id_meths   = [ (toEnumName, to_enum)
-                                  , (fromEnumName, from_enum) ] })
+-----------------------------------------------------------------------------+-- |+-- Module      :  Data.Singletons.TH.Deriving.Enum+-- Copyright   :  (C) 2015 Richard Eisenberg+-- License     :  BSD-style (see LICENSE)+-- Maintainer  :  Ryan Scott+-- Stability   :  experimental+-- Portability :  non-portable+--+-- Implements deriving of Enum instances+--+----------------------------------------------------------------------------++module Data.Singletons.TH.Deriving.Enum ( mkEnumInstance ) where++import Language.Haskell.TH.Syntax+import Language.Haskell.TH.Ppr+import Language.Haskell.TH.Desugar+import Data.Singletons.TH.Deriving.Util+import Data.Singletons.TH.Names+import Data.Singletons.TH.Syntax+import Data.Singletons.TH.Util+import Control.Monad+import Data.Maybe++-- monadic for failure only+mkEnumInstance :: DsMonad q => DerivDesc q+mkEnumInstance mb_ctxt ty (DataDecl _ _ _ cons) = do+  -- GHC only allows deriving Enum instances for enumeration types (i.e., those+  -- data types whose constructors all lack fields). We perform the same+  -- validity check here.+  --+  -- GHC actually goes further than we do. GHC will give a specific error+  -- message if you attempt to derive an instance for a "non-vanilla" data+  -- type—that is, a data type that uses features not expressible with+  -- Haskell98 syntax, such as existential quantification. Checking whether+  -- a type variable is existentially quantified is difficult in Template+  -- Haskell, so we omit this check.+  when (null cons ||+        any (\(DCon _ _ _ f _) -> not (null $ tysOfConFields f)) cons) $+    fail ("Can't derive Enum instance for " ++ pprint (typeToTH ty) ++ ".")++  n <- qNewName "n"+  let to_enum = UFunction [DClause [DVarP n] (to_enum_rhs cons [0..])]+      to_enum_rhs [] _ = DVarE errorName `DAppE` DLitE (StringL "toEnum: bad argument")+      to_enum_rhs (DCon _ _ name _ _ : rest) (num:nums) =+        DCaseE (DVarE equalsName `DAppE` DVarE n `DAppE` DLitE (IntegerL num))+          [ DMatch (DConP trueName  [] []) (DConE name)+          , DMatch (DConP falseName [] []) (to_enum_rhs rest nums) ]+      to_enum_rhs _ _ = error "Internal error: exhausted infinite list in to_enum_rhs"++      from_enum = UFunction (zipWith (\i con -> DClause [DConP (extractName con) [] []]+                                                        (DLitE (IntegerL i)))+                                     [0..] cons)+  return (InstDecl { id_cxt     = fromMaybe [] mb_ctxt+                   , id_name    = enumName+                   , id_arg_tys = [ty]+                   , id_sigs    = mempty+                   , id_meths   = [ (toEnumName, to_enum)+                                  , (fromEnumName, from_enum) ] })
src/Data/Singletons/TH/Deriving/Eq.hs view
@@ -1,62 +1,62 @@------------------------------------------------------------------------------
--- |
--- Module      :  Data.Singletons.TH.Deriving.Eq
--- Copyright   :  (C) 2020 Ryan Scott
--- License     :  BSD-style (see LICENSE)
--- Maintainer  :  Ryan Scott
--- Stability   :  experimental
--- Portability :  non-portable
---
--- Implements deriving of Eq instances
---
-----------------------------------------------------------------------------
-module Data.Singletons.TH.Deriving.Eq (mkEqInstance) where
-
-import Control.Monad
-import Data.Singletons.TH.Deriving.Infer
-import Data.Singletons.TH.Deriving.Util
-import Data.Singletons.TH.Names
-import Data.Singletons.TH.Syntax
-import Data.Singletons.TH.Util
-import Language.Haskell.TH.Desugar
-import Language.Haskell.TH.Syntax
-
-mkEqInstance :: DsMonad q => DerivDesc q
-mkEqInstance mb_ctxt ty (DataDecl _ _ _ cons) = do
-  let con_pairs = [ (c1, c2) | c1 <- cons, c2 <- cons ]
-  constraints <- inferConstraintsDef mb_ctxt (DConT eqName) ty cons
-  clauses <- if null cons
-             then pure [DClause [DWildP, DWildP] (DConE trueName)]
-             else traverse mkEqClause con_pairs
-  pure (InstDecl { id_cxt = constraints
-                 , id_name = eqName
-                 , id_arg_tys = [ty]
-                 , id_sigs  = mempty
-                 , id_meths = [(equalsName, UFunction clauses)] })
-
-mkEqClause :: Quasi q => (DCon, DCon) -> q DClause
-mkEqClause (c1, c2)
-  | lname == rname = do
-      lnames <- replicateM lNumArgs (newUniqueName "a")
-      rnames <- replicateM lNumArgs (newUniqueName "b")
-      let lpats = map DVarP lnames
-          rpats = map DVarP rnames
-          lvars = map DVarE lnames
-          rvars = map DVarE rnames
-      pure $ DClause
-        [DConP lname [] lpats, DConP rname [] rpats]
-        (andExp (zipWith (\l r -> foldExp (DVarE equalsName) [l, r])
-                         lvars rvars))
-  | otherwise =
-      pure $ DClause
-        [DConP lname [] (replicate lNumArgs DWildP),
-         DConP rname [] (replicate rNumArgs DWildP)]
-        (DConE falseName)
-  where
-    andExp :: [DExp] -> DExp
-    andExp []    = DConE trueName
-    andExp [one] = one
-    andExp (h:t) = DVarE andName `DAppE` h `DAppE` andExp t
-
-    (lname, lNumArgs) = extractNameArgs c1
-    (rname, rNumArgs) = extractNameArgs c2
+-----------------------------------------------------------------------------+-- |+-- Module      :  Data.Singletons.TH.Deriving.Eq+-- Copyright   :  (C) 2020 Ryan Scott+-- License     :  BSD-style (see LICENSE)+-- Maintainer  :  Ryan Scott+-- Stability   :  experimental+-- Portability :  non-portable+--+-- Implements deriving of Eq instances+--+----------------------------------------------------------------------------+module Data.Singletons.TH.Deriving.Eq (mkEqInstance) where++import Control.Monad+import Data.Singletons.TH.Deriving.Infer+import Data.Singletons.TH.Deriving.Util+import Data.Singletons.TH.Names+import Data.Singletons.TH.Syntax+import Data.Singletons.TH.Util+import Language.Haskell.TH.Desugar+import Language.Haskell.TH.Syntax++mkEqInstance :: DsMonad q => DerivDesc q+mkEqInstance mb_ctxt ty (DataDecl _ _ _ cons) = do+  let con_pairs = [ (c1, c2) | c1 <- cons, c2 <- cons ]+  constraints <- inferConstraintsDef mb_ctxt (DConT eqName) ty cons+  clauses <- if null cons+             then pure [DClause [DWildP, DWildP] (DConE trueName)]+             else traverse mkEqClause con_pairs+  pure (InstDecl { id_cxt = constraints+                 , id_name = eqName+                 , id_arg_tys = [ty]+                 , id_sigs  = mempty+                 , id_meths = [(equalsName, UFunction clauses)] })++mkEqClause :: Quasi q => (DCon, DCon) -> q DClause+mkEqClause (c1, c2)+  | lname == rname = do+      lnames <- replicateM lNumArgs (newUniqueName "a")+      rnames <- replicateM lNumArgs (newUniqueName "b")+      let lpats = map DVarP lnames+          rpats = map DVarP rnames+          lvars = map DVarE lnames+          rvars = map DVarE rnames+      pure $ DClause+        [DConP lname [] lpats, DConP rname [] rpats]+        (andExp (zipWith (\l r -> foldExp (DVarE equalsName) [l, r])+                         lvars rvars))+  | otherwise =+      pure $ DClause+        [DConP lname [] (replicate lNumArgs DWildP),+         DConP rname [] (replicate rNumArgs DWildP)]+        (DConE falseName)+  where+    andExp :: [DExp] -> DExp+    andExp []    = DConE trueName+    andExp [one] = one+    andExp (h:t) = DVarE andName `DAppE` h `DAppE` andExp t++    (lname, lNumArgs) = extractNameArgs c1+    (rname, rNumArgs) = extractNameArgs c2
src/Data/Singletons/TH/Deriving/Foldable.hs view
@@ -1,97 +1,97 @@------------------------------------------------------------------------------
--- |
--- Module      :  Data.Singletons.TH.Deriving.Foldable
--- Copyright   :  (C) 2018 Ryan Scott
--- License     :  BSD-style (see LICENSE)
--- Maintainer  :  Ryan Scott
--- Stability   :  experimental
--- Portability :  non-portable
---
--- Implements deriving of Foldable instances
---
-----------------------------------------------------------------------------
-
-module Data.Singletons.TH.Deriving.Foldable where
-
-import Data.Singletons.TH.Deriving.Infer
-import Data.Singletons.TH.Deriving.Util
-import Data.Singletons.TH.Names
-import Data.Singletons.TH.Syntax
-import Language.Haskell.TH.Desugar
-
-mkFoldableInstance :: forall q. DsMonad q => DerivDesc q
-mkFoldableInstance mb_ctxt ty dd@(DataDecl _ _ _ cons) = do
-  functorLikeValidityChecks False dd
-  f <- newUniqueName "_f"
-  z <- newUniqueName "_z"
-  let ft_foldMap :: FFoldType (q DExp)
-      ft_foldMap = FT { ft_triv = mkSimpleLam $ \_ -> pure $ DVarE memptyName
-                        -- foldMap f = \x -> mempty
-                      , ft_var = pure $ DVarE f
-                        -- foldMap f = f
-                      , ft_ty_app = \_ g -> DAppE (DVarE foldMapName) <$> g
-                        -- foldMap f = foldMap g
-                      , ft_forall  = \_ g -> g
-                      , ft_bad_app = error "in other argument in ft_foldMap"
-                      }
-
-      ft_foldr :: FFoldType (q DExp)
-      ft_foldr = FT { ft_triv = mkSimpleLam2 $ \_ z' -> pure z'
-                      -- foldr f = \x z -> z
-                    , ft_var  = pure $ DVarE f
-                      -- foldr f = f
-                    , ft_ty_app = \_ g -> do
-                        gg <- g
-                        mkSimpleLam2 $ \x z' -> pure $
-                          DVarE foldrName `DAppE` gg `DAppE` z' `DAppE` x
-                      -- foldr f = (\x z -> foldr g z x)
-                    , ft_forall  = \_ g -> g
-                    , ft_bad_app = error "in other argument in ft_foldr"
-                    }
-
-      clause_for_foldMap :: [DPat] -> DCon -> [DExp] -> q DClause
-      clause_for_foldMap = mkSimpleConClause $ \_ -> mkFoldMap
-        where
-          -- mappend v1 (mappend v2 ..)
-          mkFoldMap :: [DExp] -> DExp
-          mkFoldMap [] = DVarE memptyName
-          mkFoldMap xs = foldr1 (\x y -> DVarE mappendName `DAppE` x `DAppE` y) xs
-
-      clause_for_foldr :: [DPat] -> DCon -> [DExp] -> q DClause
-      clause_for_foldr = mkSimpleConClause $ \_ -> mkFoldr
-        where
-          -- g1 v1 (g2 v2 (.. z))
-          mkFoldr :: [DExp] -> DExp
-          mkFoldr = foldr DAppE (DVarE z)
-
-      mk_foldMap_clause :: DCon -> q DClause
-      mk_foldMap_clause con = do
-        parts <- foldDataConArgs ft_foldMap con
-        clause_for_foldMap [DVarP f] con =<< sequence parts
-
-      mk_foldr_clause :: DCon -> q DClause
-      mk_foldr_clause con = do
-        parts <- foldDataConArgs ft_foldr con
-        clause_for_foldr [DVarP f, DVarP z] con =<< sequence parts
-
-      mk_foldMap :: q [DClause]
-      mk_foldMap =
-        case cons of
-          [] -> pure [DClause [DWildP, DWildP] (DVarE memptyName)]
-          _  -> traverse mk_foldMap_clause cons
-
-      mk_foldr :: q [DClause]
-      mk_foldr = traverse mk_foldr_clause cons
-
-  foldMap_clauses <- mk_foldMap
-  foldr_clauses   <- mk_foldr
-  let meths = (foldMapName, UFunction foldMap_clauses)
-              : case cons of
-                  [] -> []
-                  _  -> [(foldrName, UFunction foldr_clauses)]
-  constraints <- inferConstraintsDef mb_ctxt (DConT foldableName) ty cons
-  return $ InstDecl { id_cxt = constraints
-                    , id_name = foldableName
-                    , id_arg_tys = [ty]
-                    , id_sigs  = mempty
-                    , id_meths = meths }
+-----------------------------------------------------------------------------+-- |+-- Module      :  Data.Singletons.TH.Deriving.Foldable+-- Copyright   :  (C) 2018 Ryan Scott+-- License     :  BSD-style (see LICENSE)+-- Maintainer  :  Ryan Scott+-- Stability   :  experimental+-- Portability :  non-portable+--+-- Implements deriving of Foldable instances+--+----------------------------------------------------------------------------++module Data.Singletons.TH.Deriving.Foldable where++import Data.Singletons.TH.Deriving.Infer+import Data.Singletons.TH.Deriving.Util+import Data.Singletons.TH.Names+import Data.Singletons.TH.Syntax+import Language.Haskell.TH.Desugar++mkFoldableInstance :: forall q. DsMonad q => DerivDesc q+mkFoldableInstance mb_ctxt ty dd@(DataDecl _ _ _ cons) = do+  functorLikeValidityChecks False dd+  f <- newUniqueName "_f"+  z <- newUniqueName "_z"+  let ft_foldMap :: FFoldType (q DExp)+      ft_foldMap = FT { ft_triv = mkSimpleLam $ \_ -> pure $ DVarE memptyName+                        -- foldMap f = \x -> mempty+                      , ft_var = pure $ DVarE f+                        -- foldMap f = f+                      , ft_ty_app = \_ g -> DAppE (DVarE foldMapName) <$> g+                        -- foldMap f = foldMap g+                      , ft_forall  = \_ g -> g+                      , ft_bad_app = error "in other argument in ft_foldMap"+                      }++      ft_foldr :: FFoldType (q DExp)+      ft_foldr = FT { ft_triv = mkSimpleLam2 $ \_ z' -> pure z'+                      -- foldr f = \x z -> z+                    , ft_var  = pure $ DVarE f+                      -- foldr f = f+                    , ft_ty_app = \_ g -> do+                        gg <- g+                        mkSimpleLam2 $ \x z' -> pure $+                          DVarE foldrName `DAppE` gg `DAppE` z' `DAppE` x+                      -- foldr f = (\x z -> foldr g z x)+                    , ft_forall  = \_ g -> g+                    , ft_bad_app = error "in other argument in ft_foldr"+                    }++      clause_for_foldMap :: [DPat] -> DCon -> [DExp] -> q DClause+      clause_for_foldMap = mkSimpleConClause $ \_ -> mkFoldMap+        where+          -- mappend v1 (mappend v2 ..)+          mkFoldMap :: [DExp] -> DExp+          mkFoldMap [] = DVarE memptyName+          mkFoldMap xs = foldr1 (\x y -> DVarE mappendName `DAppE` x `DAppE` y) xs++      clause_for_foldr :: [DPat] -> DCon -> [DExp] -> q DClause+      clause_for_foldr = mkSimpleConClause $ \_ -> mkFoldr+        where+          -- g1 v1 (g2 v2 (.. z))+          mkFoldr :: [DExp] -> DExp+          mkFoldr = foldr DAppE (DVarE z)++      mk_foldMap_clause :: DCon -> q DClause+      mk_foldMap_clause con = do+        parts <- foldDataConArgs ft_foldMap con+        clause_for_foldMap [DVarP f] con =<< sequence parts++      mk_foldr_clause :: DCon -> q DClause+      mk_foldr_clause con = do+        parts <- foldDataConArgs ft_foldr con+        clause_for_foldr [DVarP f, DVarP z] con =<< sequence parts++      mk_foldMap :: q [DClause]+      mk_foldMap =+        case cons of+          [] -> pure [DClause [DWildP, DWildP] (DVarE memptyName)]+          _  -> traverse mk_foldMap_clause cons++      mk_foldr :: q [DClause]+      mk_foldr = traverse mk_foldr_clause cons++  foldMap_clauses <- mk_foldMap+  foldr_clauses   <- mk_foldr+  let meths = (foldMapName, UFunction foldMap_clauses)+              : case cons of+                  [] -> []+                  _  -> [(foldrName, UFunction foldr_clauses)]+  constraints <- inferConstraintsDef mb_ctxt (DConT foldableName) ty cons+  return $ InstDecl { id_cxt = constraints+                    , id_name = foldableName+                    , id_arg_tys = [ty]+                    , id_sigs  = mempty+                    , id_meths = meths }
src/Data/Singletons/TH/Deriving/Functor.hs view
@@ -1,93 +1,93 @@------------------------------------------------------------------------------
--- |
--- Module      :  Data.Singletons.TH.Deriving.Functor
--- Copyright   :  (C) 2018 Ryan Scott
--- License     :  BSD-style (see LICENSE)
--- Maintainer  :  Ryan Scott
--- Stability   :  experimental
--- Portability :  non-portable
---
--- Implements deriving of Functor instances
---
-----------------------------------------------------------------------------
-
-module Data.Singletons.TH.Deriving.Functor where
-
-import Data.Singletons.TH.Deriving.Infer
-import Data.Singletons.TH.Deriving.Util
-import Data.Singletons.TH.Names
-import Data.Singletons.TH.Syntax
-import Data.Singletons.TH.Util
-import Language.Haskell.TH.Desugar
-
-mkFunctorInstance :: forall q. DsMonad q => DerivDesc q
-mkFunctorInstance mb_ctxt ty dd@(DataDecl _ _ _ cons) = do
-  functorLikeValidityChecks False dd
-  f <- newUniqueName "_f"
-  z <- newUniqueName "_z"
-  let ft_fmap :: FFoldType (q DExp)
-      ft_fmap = FT { ft_triv = mkSimpleLam pure
-                     -- fmap f = \x -> x
-                   , ft_var = pure $ DVarE f
-                     -- fmap f = f
-                   , ft_ty_app = \_ g -> DAppE (DVarE fmapName) <$> g
-                     -- fmap f = fmap g
-                   , ft_forall = \_ g -> g
-                   , ft_bad_app = error "in other argument in ft_fmap"
-                   }
-
-      ft_replace :: FFoldType (q Replacer)
-      ft_replace = FT { ft_triv = fmap Nested    $ mkSimpleLam pure
-                        -- (p <$) = \x -> x
-                      , ft_var  = fmap Immediate $ mkSimpleLam $ \_ -> pure $ DVarE z
-                        -- (p <$) = const p
-                      , ft_ty_app = \_ gm -> do
-                          g <- gm
-                          case g of
-                            Nested g'   -> pure . Nested $ DVarE fmapName    `DAppE` g'
-                            Immediate _ -> pure . Nested $ DVarE replaceName `DAppE` DVarE z
-                        -- (p <$) = fmap (p <$)
-                      , ft_forall  = \_ g -> g
-                      , ft_bad_app = error "in other argument in ft_replace"
-                      }
-
-      -- Con a1 a2 ... -> Con (f1 a1) (f2 a2) ...
-      clause_for_con :: [DPat] -> DCon -> [DExp] -> q DClause
-      clause_for_con = mkSimpleConClause $ \con_name ->
-        foldExp (DConE con_name) -- Con x1 x2 ...
-
-      mk_fmap_clause :: DCon -> q DClause
-      mk_fmap_clause con = do
-        parts <- foldDataConArgs ft_fmap con
-        clause_for_con [DVarP f] con =<< sequence parts
-
-      mk_replace_clause :: DCon -> q DClause
-      mk_replace_clause con = do
-        parts <- foldDataConArgs ft_replace con
-        clause_for_con [DVarP z] con =<< traverse (fmap replace) parts
-
-      mk_fmap :: q [DClause]
-      mk_fmap = case cons of
-                  [] -> do v <- newUniqueName "v"
-                           pure [DClause [DWildP, DVarP v] (DCaseE (DVarE v) [])]
-                  _  -> traverse mk_fmap_clause cons
-
-      mk_replace :: q [DClause]
-      mk_replace = case cons of
-                     [] -> do v <- newUniqueName "v"
-                              pure [DClause [DWildP, DVarP v] (DCaseE (DVarE v) [])]
-                     _  -> traverse mk_replace_clause cons
-
-  fmap_clauses    <- mk_fmap
-  replace_clauses <- mk_replace
-  constraints <- inferConstraintsDef mb_ctxt (DConT functorName) ty cons
-  return $ InstDecl { id_cxt = constraints
-                    , id_name = functorName
-                    , id_arg_tys = [ty]
-                    , id_sigs  = mempty
-                    , id_meths = [ (fmapName,    UFunction fmap_clauses)
-                                 , (replaceName, UFunction replace_clauses)
-                                 ] }
-
-data Replacer = Immediate { replace :: DExp }
-              | Nested    { replace :: DExp }
+-----------------------------------------------------------------------------+-- |+-- Module      :  Data.Singletons.TH.Deriving.Functor+-- Copyright   :  (C) 2018 Ryan Scott+-- License     :  BSD-style (see LICENSE)+-- Maintainer  :  Ryan Scott+-- Stability   :  experimental+-- Portability :  non-portable+--+-- Implements deriving of Functor instances+--+----------------------------------------------------------------------------++module Data.Singletons.TH.Deriving.Functor where++import Data.Singletons.TH.Deriving.Infer+import Data.Singletons.TH.Deriving.Util+import Data.Singletons.TH.Names+import Data.Singletons.TH.Syntax+import Data.Singletons.TH.Util+import Language.Haskell.TH.Desugar++mkFunctorInstance :: forall q. DsMonad q => DerivDesc q+mkFunctorInstance mb_ctxt ty dd@(DataDecl _ _ _ cons) = do+  functorLikeValidityChecks False dd+  f <- newUniqueName "_f"+  z <- newUniqueName "_z"+  let ft_fmap :: FFoldType (q DExp)+      ft_fmap = FT { ft_triv = mkSimpleLam pure+                     -- fmap f = \x -> x+                   , ft_var = pure $ DVarE f+                     -- fmap f = f+                   , ft_ty_app = \_ g -> DAppE (DVarE fmapName) <$> g+                     -- fmap f = fmap g+                   , ft_forall = \_ g -> g+                   , ft_bad_app = error "in other argument in ft_fmap"+                   }++      ft_replace :: FFoldType (q Replacer)+      ft_replace = FT { ft_triv = fmap Nested    $ mkSimpleLam pure+                        -- (p <$) = \x -> x+                      , ft_var  = fmap Immediate $ mkSimpleLam $ \_ -> pure $ DVarE z+                        -- (p <$) = const p+                      , ft_ty_app = \_ gm -> do+                          g <- gm+                          case g of+                            Nested g'   -> pure . Nested $ DVarE fmapName    `DAppE` g'+                            Immediate _ -> pure . Nested $ DVarE replaceName `DAppE` DVarE z+                        -- (p <$) = fmap (p <$)+                      , ft_forall  = \_ g -> g+                      , ft_bad_app = error "in other argument in ft_replace"+                      }++      -- Con a1 a2 ... -> Con (f1 a1) (f2 a2) ...+      clause_for_con :: [DPat] -> DCon -> [DExp] -> q DClause+      clause_for_con = mkSimpleConClause $ \con_name ->+        foldExp (DConE con_name) -- Con x1 x2 ...++      mk_fmap_clause :: DCon -> q DClause+      mk_fmap_clause con = do+        parts <- foldDataConArgs ft_fmap con+        clause_for_con [DVarP f] con =<< sequence parts++      mk_replace_clause :: DCon -> q DClause+      mk_replace_clause con = do+        parts <- foldDataConArgs ft_replace con+        clause_for_con [DVarP z] con =<< traverse (fmap replace) parts++      mk_fmap :: q [DClause]+      mk_fmap = case cons of+                  [] -> do v <- newUniqueName "v"+                           pure [DClause [DWildP, DVarP v] (DCaseE (DVarE v) [])]+                  _  -> traverse mk_fmap_clause cons++      mk_replace :: q [DClause]+      mk_replace = case cons of+                     [] -> do v <- newUniqueName "v"+                              pure [DClause [DWildP, DVarP v] (DCaseE (DVarE v) [])]+                     _  -> traverse mk_replace_clause cons++  fmap_clauses    <- mk_fmap+  replace_clauses <- mk_replace+  constraints <- inferConstraintsDef mb_ctxt (DConT functorName) ty cons+  return $ InstDecl { id_cxt = constraints+                    , id_name = functorName+                    , id_arg_tys = [ty]+                    , id_sigs  = mempty+                    , id_meths = [ (fmapName,    UFunction fmap_clauses)+                                 , (replaceName, UFunction replace_clauses)+                                 ] }++data Replacer = Immediate { replace :: DExp }+              | Nested    { replace :: DExp }
src/Data/Singletons/TH/Deriving/Infer.hs view
@@ -1,160 +1,160 @@------------------------------------------------------------------------------
--- |
--- Module      :  Data.Singletons.TH.Deriving.Infer
--- Copyright   :  (C) 2015 Richard Eisenberg
--- License     :  BSD-style (see LICENSE)
--- Maintainer  :  Ryan Scott
--- Stability   :  experimental
--- Portability :  non-portable
---
--- Infers constraints for a `deriving` class
---
-----------------------------------------------------------------------------
-
-module Data.Singletons.TH.Deriving.Infer ( inferConstraints, inferConstraintsDef ) where
-
-import Language.Haskell.TH.Desugar
-import Language.Haskell.TH.Syntax
-import Data.Singletons.TH.Deriving.Util
-import Data.Singletons.TH.Util
-import Data.List (nub)
-import Data.Maybe (fromJust)
-
--- @inferConstraints cls inst_ty cons@ infers the instance context for a
--- derived type class instance of @cls@ for @inst_ty@, using the constructors
--- @cons@. For instance, if @cls@ is 'Ord' and @inst_ty@ is @Either a b@, then
--- that means we are attempting to derive the instance:
---
--- @
--- instance ??? => Ord (Either a b)
--- @
---
--- The role of 'inferConstraints' is to determine what @???@ should be in that
--- derived instance. To accomplish this, the list of @cons@ (in this example,
--- @cons@ would be @[Left a, Right b]@) is used as follows:
---
--- 1. For each @con@ in @cons@, find the types of each of its fields
---    (call these @field_tys@), perhaps after renaming the type variables of
---    @field_tys@.
--- 2. For each @field_ty@ in @field_tys@, apply @cls@ to @field_ty@ to obtain
---    a constraint.
--- 3. The final instance context is the set of all such constraints obtained
---    in step 2.
---
--- To complete the running example, this algorithm would produce the instance
--- context @(Ord a, Ord b)@, since @Left a@ has one field of type @a@, and
--- @Right b@ has one field of type @b@.
---
--- This algorithm is a crude approximation of what GHC actually does when
--- deriving instances. It is crude in the sense that one can end up with
--- redundant constraints. For instance, if the data type for which an 'Ord'
--- instance is being derived is @data Foo = MkFoo Bool Foo@, then the
--- inferred constraints would be @(Ord Bool, Ord Foo)@. Technically, neither
--- constraint is necessary, but it is not simple in general to eliminate
--- redundant constraints like these, so we do not attept to do so. (This is
--- one reason why @singletons-th@ requires the use of the @UndecidableInstances@
--- GHC extension.)
---
--- Observant readers will notice that the phrase \"perhaps afer renaming the
--- type variables\" was casually dropped in step 1 of the above algorithm.
--- For more information on what this means, refer to the documentation for
--- infer_ct below.
-inferConstraints :: forall q. DsMonad q => DPred -> DType -> [DCon] -> q DCxt
-inferConstraints pr inst_ty = fmap nub . concatMapM infer_ct
-  where
-    -- A thorny situation arises when attempting to infer an instance context
-    -- for a GADT. Consider the following example:
-    --
-    --   newtype Bar a where
-    --     MkBar :: b -> Bar b
-    --   deriving Show
-    --
-    -- If we blindly apply 'Show' to the field type of @MkBar@, we will end up
-    -- with a derived instance of:
-    --
-    --   instance Show b => Show (Bar a)
-    --
-    -- This is completely wrong, since the type variable @b@ is never used in
-    -- the instance head! This reveals that we need a slightly more nuanced
-    -- strategy for gathering constraints for GADT constructors. To account
-    -- for this, when gathering @field_tys@ (from step 1 in the above algorithm)
-    -- we perform the following extra steps:
-    --
-    -- 1(a). Take the return type of @con@ and match it with @inst_ty@ (e.g.,
-    --       match @Bar b@ with @Bar a@). Doing so will produce a substitution
-    --       that maps the universally quantified type variables in the GADT
-    --       (i.e., @b@) to the corresponding type variables in the data type
-    --       constructor (i.e., @a@).
-    -- 1(b). Use the resulting substitution to rename the universally
-    --       quantified type variables of @con@ as necessary.
-    --
-    -- After this renaming, the algorithm will produce an instance context of
-    -- @Show a@ (since @b@ was renamed to @a@), as expected.
-    infer_ct :: DCon -> q DCxt
-    infer_ct (DCon _ _ _ fields res_ty) = do
-      let field_tys = tysOfConFields fields
-          -- We need to match the constructor's result type with the type given
-          -- in the generated instance. But if we have:
-          --
-          --   data Foo a where
-          --     MkFoo :: a -> Foo a
-          --     deriving Functor
-          --
-          -- Then the generated instance will be:
-          --
-          --   instance Functor Foo where ...
-          --
-          -- Which means that if we're not careful, we might try to match the
-          -- types (Foo a) and (Foo), which will fail.
-          --
-          -- To avoid this, we employ a grimy hack where we pad the instance
-          -- type with an extra (dummy) type variable. It doesn't matter what
-          -- we name it, since none of the inferred constraints will mention
-          -- it anyway.
-          eta_expanded_inst_ty
-            | is_functor_like = inst_ty `DAppT` DVarT (mkName "dummy")
-            | otherwise       = inst_ty
-      res_ty'  <- expandType res_ty
-      inst_ty' <- expandType eta_expanded_inst_ty
-      field_tys' <- case matchTy YesIgnore res_ty' inst_ty' of
-                      Nothing -> fail $ showString "Unable to match type "
-                                      . showsPrec 11 res_ty'
-                                      . showString " with "
-                                      . showsPrec 11 inst_ty'
-                                      $ ""
-                      Just subst -> traverse (substTy subst) field_tys
-      if is_functor_like
-         then mk_functor_like_constraints field_tys' res_ty'
-         else pure $ map (pr `DAppT`) field_tys'
-
-    -- If we derive a Functor-like class, e.g.,
-    --
-    --   data Foo f g h a = MkFoo (f a) (g (h a)) deriving Functor
-    --
-    -- Then we infer constraints by sticking Functor on the subtypes of kind
-    -- (Type -> Type). In the example above, that would give us
-    -- (Functor f, Functor g, Functor h).
-    mk_functor_like_constraints :: [DType] -> DType -> q DCxt
-    mk_functor_like_constraints fields res_ty = do
-      -- This function is partial. But that's OK, because
-      -- functorLikeValidityChecks ensures that this is total by the time
-      -- we invoke this.
-      let (_, res_ty_args)     = unfoldDType res_ty
-          (_, last_res_ty_arg) = snocView $ filterDTANormals res_ty_args
-          last_tv              = fromJust $ getDVarTName_maybe last_res_ty_arg
-      deep_subtypes <- concatMapM (deepSubtypesContaining last_tv) fields
-      pure $ map (pr `DAppT`) deep_subtypes
-
-    is_functor_like :: Bool
-    is_functor_like
-      | (DConT pr_class_name, _) <- unfoldDType pr
-      = isFunctorLikeClassName pr_class_name
-      | otherwise
-      = False
-
--- For @inferConstraintsDef mb_cxt@, if @mb_cxt@ is 'Just' a context, then it will
--- simply return that context. Otherwise, if @mb_cxt@ is 'Nothing', then
--- 'inferConstraintsDef' will infer an instance context (using 'inferConstraints').
-inferConstraintsDef :: DsMonad q => Maybe DCxt -> DPred -> DType -> [DCon] -> q DCxt
-inferConstraintsDef mb_ctxt pr inst_ty cons =
-  maybe (inferConstraints pr inst_ty cons) pure mb_ctxt
+-----------------------------------------------------------------------------+-- |+-- Module      :  Data.Singletons.TH.Deriving.Infer+-- Copyright   :  (C) 2015 Richard Eisenberg+-- License     :  BSD-style (see LICENSE)+-- Maintainer  :  Ryan Scott+-- Stability   :  experimental+-- Portability :  non-portable+--+-- Infers constraints for a `deriving` class+--+----------------------------------------------------------------------------++module Data.Singletons.TH.Deriving.Infer ( inferConstraints, inferConstraintsDef ) where++import Language.Haskell.TH.Desugar+import Language.Haskell.TH.Syntax+import Data.Singletons.TH.Deriving.Util+import Data.Singletons.TH.Util+import Data.List (nub)+import Data.Maybe (fromJust)++-- @inferConstraints cls inst_ty cons@ infers the instance context for a+-- derived type class instance of @cls@ for @inst_ty@, using the constructors+-- @cons@. For instance, if @cls@ is 'Ord' and @inst_ty@ is @Either a b@, then+-- that means we are attempting to derive the instance:+--+-- @+-- instance ??? => Ord (Either a b)+-- @+--+-- The role of 'inferConstraints' is to determine what @???@ should be in that+-- derived instance. To accomplish this, the list of @cons@ (in this example,+-- @cons@ would be @[Left a, Right b]@) is used as follows:+--+-- 1. For each @con@ in @cons@, find the types of each of its fields+--    (call these @field_tys@), perhaps after renaming the type variables of+--    @field_tys@.+-- 2. For each @field_ty@ in @field_tys@, apply @cls@ to @field_ty@ to obtain+--    a constraint.+-- 3. The final instance context is the set of all such constraints obtained+--    in step 2.+--+-- To complete the running example, this algorithm would produce the instance+-- context @(Ord a, Ord b)@, since @Left a@ has one field of type @a@, and+-- @Right b@ has one field of type @b@.+--+-- This algorithm is a crude approximation of what GHC actually does when+-- deriving instances. It is crude in the sense that one can end up with+-- redundant constraints. For instance, if the data type for which an 'Ord'+-- instance is being derived is @data Foo = MkFoo Bool Foo@, then the+-- inferred constraints would be @(Ord Bool, Ord Foo)@. Technically, neither+-- constraint is necessary, but it is not simple in general to eliminate+-- redundant constraints like these, so we do not attept to do so. (This is+-- one reason why @singletons-th@ requires the use of the @UndecidableInstances@+-- GHC extension.)+--+-- Observant readers will notice that the phrase \"perhaps afer renaming the+-- type variables\" was casually dropped in step 1 of the above algorithm.+-- For more information on what this means, refer to the documentation for+-- infer_ct below.+inferConstraints :: forall q. DsMonad q => DPred -> DType -> [DCon] -> q DCxt+inferConstraints pr inst_ty = fmap nub . concatMapM infer_ct+  where+    -- A thorny situation arises when attempting to infer an instance context+    -- for a GADT. Consider the following example:+    --+    --   newtype Bar a where+    --     MkBar :: b -> Bar b+    --   deriving Show+    --+    -- If we blindly apply 'Show' to the field type of @MkBar@, we will end up+    -- with a derived instance of:+    --+    --   instance Show b => Show (Bar a)+    --+    -- This is completely wrong, since the type variable @b@ is never used in+    -- the instance head! This reveals that we need a slightly more nuanced+    -- strategy for gathering constraints for GADT constructors. To account+    -- for this, when gathering @field_tys@ (from step 1 in the above algorithm)+    -- we perform the following extra steps:+    --+    -- 1(a). Take the return type of @con@ and match it with @inst_ty@ (e.g.,+    --       match @Bar b@ with @Bar a@). Doing so will produce a substitution+    --       that maps the universally quantified type variables in the GADT+    --       (i.e., @b@) to the corresponding type variables in the data type+    --       constructor (i.e., @a@).+    -- 1(b). Use the resulting substitution to rename the universally+    --       quantified type variables of @con@ as necessary.+    --+    -- After this renaming, the algorithm will produce an instance context of+    -- @Show a@ (since @b@ was renamed to @a@), as expected.+    infer_ct :: DCon -> q DCxt+    infer_ct (DCon _ _ _ fields res_ty) = do+      let field_tys = tysOfConFields fields+          -- We need to match the constructor's result type with the type given+          -- in the generated instance. But if we have:+          --+          --   data Foo a where+          --     MkFoo :: a -> Foo a+          --     deriving Functor+          --+          -- Then the generated instance will be:+          --+          --   instance Functor Foo where ...+          --+          -- Which means that if we're not careful, we might try to match the+          -- types (Foo a) and (Foo), which will fail.+          --+          -- To avoid this, we employ a grimy hack where we pad the instance+          -- type with an extra (dummy) type variable. It doesn't matter what+          -- we name it, since none of the inferred constraints will mention+          -- it anyway.+          eta_expanded_inst_ty+            | is_functor_like = inst_ty `DAppT` DVarT (mkName "dummy")+            | otherwise       = inst_ty+      res_ty'  <- expandType res_ty+      inst_ty' <- expandType eta_expanded_inst_ty+      field_tys' <- case matchTy YesIgnore res_ty' inst_ty' of+                      Nothing -> fail $ showString "Unable to match type "+                                      . showsPrec 11 res_ty'+                                      . showString " with "+                                      . showsPrec 11 inst_ty'+                                      $ ""+                      Just subst -> traverse (substTy subst) field_tys+      if is_functor_like+         then mk_functor_like_constraints field_tys' res_ty'+         else pure $ map (pr `DAppT`) field_tys'++    -- If we derive a Functor-like class, e.g.,+    --+    --   data Foo f g h a = MkFoo (f a) (g (h a)) deriving Functor+    --+    -- Then we infer constraints by sticking Functor on the subtypes of kind+    -- (Type -> Type). In the example above, that would give us+    -- (Functor f, Functor g, Functor h).+    mk_functor_like_constraints :: [DType] -> DType -> q DCxt+    mk_functor_like_constraints fields res_ty = do+      -- This function is partial. But that's OK, because+      -- functorLikeValidityChecks ensures that this is total by the time+      -- we invoke this.+      let (_, res_ty_args)     = unfoldDType res_ty+          (_, last_res_ty_arg) = snocView $ filterDTANormals res_ty_args+          last_tv              = fromJust $ getDVarTName_maybe last_res_ty_arg+      deep_subtypes <- concatMapM (deepSubtypesContaining last_tv) fields+      pure $ map (pr `DAppT`) deep_subtypes++    is_functor_like :: Bool+    is_functor_like+      | (DConT pr_class_name, _) <- unfoldDType pr+      = isFunctorLikeClassName pr_class_name+      | otherwise+      = False++-- For @inferConstraintsDef mb_cxt@, if @mb_cxt@ is 'Just' a context, then it will+-- simply return that context. Otherwise, if @mb_cxt@ is 'Nothing', then+-- 'inferConstraintsDef' will infer an instance context (using 'inferConstraints').+inferConstraintsDef :: DsMonad q => Maybe DCxt -> DPred -> DType -> [DCon] -> q DCxt+inferConstraintsDef mb_ctxt pr inst_ty cons =+  maybe (inferConstraints pr inst_ty cons) pure mb_ctxt
src/Data/Singletons/TH/Deriving/Ord.hs view
@@ -1,71 +1,71 @@------------------------------------------------------------------------------
--- |
--- Module      :  Data.Singletons.TH.Deriving.Ord
--- Copyright   :  (C) 2015 Richard Eisenberg
--- License     :  BSD-style (see LICENSE)
--- Maintainer  :  Ryan Scott
--- Stability   :  experimental
--- Portability :  non-portable
---
--- Implements deriving of Ord instances
---
-----------------------------------------------------------------------------
-
-module Data.Singletons.TH.Deriving.Ord ( mkOrdInstance ) where
-
-import Language.Haskell.TH.Desugar
-import Language.Haskell.TH.Syntax
-import Data.Singletons.TH.Deriving.Infer
-import Data.Singletons.TH.Deriving.Util
-import Data.Singletons.TH.Names
-import Data.Singletons.TH.Syntax
-import Data.Singletons.TH.Util
-
--- | Make a *non-singleton* Ord instance
-mkOrdInstance :: DsMonad q => DerivDesc q
-mkOrdInstance mb_ctxt ty (DataDecl _ _ _ cons) = do
-  constraints <- inferConstraintsDef mb_ctxt (DConT ordName) ty cons
-  compare_eq_clauses <- mapM mk_equal_clause cons
-  let compare_noneq_clauses = map (uncurry mk_nonequal_clause)
-                                  [ (con1, con2)
-                                  | con1 <- zip cons [1..]
-                                  , con2 <- zip cons [1..]
-                                  , extractName (fst con1) /=
-                                    extractName (fst con2) ]
-      clauses | null cons = [mk_empty_clause]
-              | otherwise = compare_eq_clauses ++ compare_noneq_clauses
-  return (InstDecl { id_cxt = constraints
-                   , id_name = ordName
-                   , id_arg_tys = [ty]
-                   , id_sigs  = mempty
-                   , id_meths = [(compareName, UFunction clauses)] })
-
-mk_equal_clause :: Quasi q => DCon -> q DClause
-mk_equal_clause (DCon _tvbs _cxt name fields _rty) = do
-  let tys = tysOfConFields fields
-  a_names <- mapM (const $ newUniqueName "a") tys
-  b_names <- mapM (const $ newUniqueName "b") tys
-  let pat1 = DConP name [] (map DVarP a_names)
-      pat2 = DConP name [] (map DVarP b_names)
-  return $ DClause [pat1, pat2] (DVarE foldlName `DAppE`
-                                 DVarE sappendName `DAppE`
-                                 DConE cmpEQName `DAppE`
-                                 mkListE (zipWith
-                                          (\a b -> DVarE compareName `DAppE` DVarE a
-                                                                     `DAppE` DVarE b)
-                                          a_names b_names))
-
-mk_nonequal_clause :: (DCon, Int) -> (DCon, Int) -> DClause
-mk_nonequal_clause (DCon _tvbs1 _cxt1 name1 fields1 _rty1, n1)
-                   (DCon _tvbs2 _cxt2 name2 fields2 _rty2, n2) =
-  DClause [pat1, pat2] (case n1 `compare` n2 of
-                          LT -> DConE cmpLTName
-                          EQ -> DConE cmpEQName
-                          GT -> DConE cmpGTName)
-  where
-    pat1 = DConP name1 [] (map (const DWildP) (tysOfConFields fields1))
-    pat2 = DConP name2 [] (map (const DWildP) (tysOfConFields fields2))
-
--- A variant of mk_equal_clause tailored to empty datatypes
-mk_empty_clause :: DClause
-mk_empty_clause = DClause [DWildP, DWildP] (DConE cmpEQName)
+-----------------------------------------------------------------------------+-- |+-- Module      :  Data.Singletons.TH.Deriving.Ord+-- Copyright   :  (C) 2015 Richard Eisenberg+-- License     :  BSD-style (see LICENSE)+-- Maintainer  :  Ryan Scott+-- Stability   :  experimental+-- Portability :  non-portable+--+-- Implements deriving of Ord instances+--+----------------------------------------------------------------------------++module Data.Singletons.TH.Deriving.Ord ( mkOrdInstance ) where++import Language.Haskell.TH.Desugar+import Language.Haskell.TH.Syntax+import Data.Singletons.TH.Deriving.Infer+import Data.Singletons.TH.Deriving.Util+import Data.Singletons.TH.Names+import Data.Singletons.TH.Syntax+import Data.Singletons.TH.Util++-- | Make a *non-singleton* Ord instance+mkOrdInstance :: DsMonad q => DerivDesc q+mkOrdInstance mb_ctxt ty (DataDecl _ _ _ cons) = do+  constraints <- inferConstraintsDef mb_ctxt (DConT ordName) ty cons+  compare_eq_clauses <- mapM mk_equal_clause cons+  let compare_noneq_clauses = map (uncurry mk_nonequal_clause)+                                  [ (con1, con2)+                                  | con1 <- zip cons [1..]+                                  , con2 <- zip cons [1..]+                                  , extractName (fst con1) /=+                                    extractName (fst con2) ]+      clauses | null cons = [mk_empty_clause]+              | otherwise = compare_eq_clauses ++ compare_noneq_clauses+  return (InstDecl { id_cxt = constraints+                   , id_name = ordName+                   , id_arg_tys = [ty]+                   , id_sigs  = mempty+                   , id_meths = [(compareName, UFunction clauses)] })++mk_equal_clause :: Quasi q => DCon -> q DClause+mk_equal_clause (DCon _tvbs _cxt name fields _rty) = do+  let tys = tysOfConFields fields+  a_names <- mapM (const $ newUniqueName "a") tys+  b_names <- mapM (const $ newUniqueName "b") tys+  let pat1 = DConP name [] (map DVarP a_names)+      pat2 = DConP name [] (map DVarP b_names)+  return $ DClause [pat1, pat2] (DVarE foldlName `DAppE`+                                 DVarE sappendName `DAppE`+                                 DConE cmpEQName `DAppE`+                                 mkListE (zipWith+                                          (\a b -> DVarE compareName `DAppE` DVarE a+                                                                     `DAppE` DVarE b)+                                          a_names b_names))++mk_nonequal_clause :: (DCon, Int) -> (DCon, Int) -> DClause+mk_nonequal_clause (DCon _tvbs1 _cxt1 name1 fields1 _rty1, n1)+                   (DCon _tvbs2 _cxt2 name2 fields2 _rty2, n2) =+  DClause [pat1, pat2] (case n1 `compare` n2 of+                          LT -> DConE cmpLTName+                          EQ -> DConE cmpEQName+                          GT -> DConE cmpGTName)+  where+    pat1 = DConP name1 [] (map (const DWildP) (tysOfConFields fields1))+    pat2 = DConP name2 [] (map (const DWildP) (tysOfConFields fields2))++-- A variant of mk_equal_clause tailored to empty datatypes+mk_empty_clause :: DClause+mk_empty_clause = DClause [DWildP, DWildP] (DConE cmpEQName)
src/Data/Singletons/TH/Deriving/Show.hs view
@@ -1,164 +1,164 @@------------------------------------------------------------------------------
--- |
--- Module      :  Data.Singletons.TH.Deriving.Show
--- Copyright   :  (C) 2017 Ryan Scott
--- License     :  BSD-style (see LICENSE)
--- Maintainer  :  Ryan Scott
--- Stability   :  experimental
--- Portability :  non-portable
---
--- Implements deriving of Show instances
---
-----------------------------------------------------------------------------
-
-module Data.Singletons.TH.Deriving.Show (
-    mkShowInstance
-  , mkShowSingContext
-  ) where
-
-import Language.Haskell.TH.Syntax hiding (showName)
-import Language.Haskell.TH.Desugar
-import Data.Singletons.TH.Deriving.Infer
-import Data.Singletons.TH.Deriving.Util
-import Data.Singletons.TH.Names
-import Data.Singletons.TH.Options
-import Data.Singletons.TH.Syntax
-import Data.Singletons.TH.Util
-import Data.Maybe (fromMaybe)
-import GHC.Lexeme (startsConSym, startsVarSym)
-import GHC.Show (appPrec, appPrec1)
-
-mkShowInstance :: OptionsMonad q => DerivDesc q
-mkShowInstance mb_ctxt ty (DataDecl _ _ _ cons) = do
-  clauses <- mk_showsPrec cons
-  constraints <- inferConstraintsDef mb_ctxt (DConT showName) ty cons
-  return $ InstDecl { id_cxt = constraints
-                    , id_name = showName
-                    , id_arg_tys = [ty]
-                    , id_sigs  = mempty
-                    , id_meths = [ (showsPrecName, UFunction clauses) ] }
-
-mk_showsPrec :: OptionsMonad q => [DCon] -> q [DClause]
-mk_showsPrec cons = do
-    p <- newUniqueName "p" -- The precedence argument (not always used)
-    if null cons
-       then do v <- newUniqueName "v"
-               pure [DClause [DWildP, DVarP v] (DCaseE (DVarE v) [])]
-       else mapM (mk_showsPrec_clause p) cons
-
-mk_showsPrec_clause :: forall q. DsMonad q
-                    => Name -> DCon
-                    -> q DClause
-mk_showsPrec_clause p (DCon _ _ con_name con_fields _) = go con_fields
-  where
-    go :: DConFields -> q DClause
-    go con_fields' = do
-      case con_fields' of
-
-        -- No fields: print just the constructor name, with no parentheses
-        DNormalC _ [] -> return $
-          DClause [DWildP, DConP con_name [] []] $
-            DVarE showStringName `DAppE` dStringE (parenInfixConName con_name "")
-
-        -- Infix constructors have special Show treatment.
-        DNormalC True [_, _] -> do
-          argL   <- newUniqueName "argL"
-          argR   <- newUniqueName "argR"
-          fi <- fromMaybe defaultFixity <$> reifyFixityWithLocals con_name
-          let con_prec = case fi of Fixity prec _ -> prec
-              op_name  = nameBase con_name
-              infixOpE = DAppE (DVarE showStringName) . dStringE $
-                           if isInfixDataCon op_name
-                              then " "  ++ op_name ++ " "
-                              -- Make sure to handle infix data constructors
-                              -- like (Int `Foo` Int)
-                              else " `" ++ op_name ++ "` "
-          return $ DClause [DVarP p, DConP con_name [] [DVarP argL, DVarP argR]] $
-            (DVarE showParenName `DAppE` (DVarE gtName `DAppE` DVarE p
-                                                       `DAppE` dIntegerE con_prec))
-              `DAppE` (DVarE composeName
-                         `DAppE` showsPrecE (con_prec + 1) argL
-                         `DAppE` (DVarE composeName
-                                    `DAppE` infixOpE
-                                    `DAppE` showsPrecE (con_prec + 1) argR))
-
-        DNormalC _ tys -> do
-          args <- mapM (const $ newUniqueName "arg")   tys
-          let show_args     = map (showsPrecE appPrec1) args
-              composed_args = foldr1 (\v q -> DVarE composeName
-                                               `DAppE` v
-                                               `DAppE` (DVarE composeName
-                                                         `DAppE` DVarE showSpaceName
-                                                         `DAppE` q)) show_args
-              named_args = DVarE composeName
-                             `DAppE` (DVarE showStringName
-                                       `DAppE` dStringE (parenInfixConName con_name " "))
-                             `DAppE` composed_args
-          return $ DClause [DVarP p, DConP con_name [] $ map DVarP args] $
-            DVarE showParenName
-              `DAppE` (DVarE gtName `DAppE` DVarE p `DAppE` dIntegerE appPrec)
-              `DAppE` named_args
-
-        -- We show a record constructor with no fields the same way we'd show a
-        -- normal constructor with no fields.
-        DRecC [] -> go (DNormalC False [])
-
-        DRecC tys -> do
-          args <- mapM (const $ newUniqueName "arg") tys
-          let show_args =
-                concatMap (\((arg_name, _, _), arg) ->
-                            let arg_nameBase = nameBase arg_name
-                                infix_rec    = showParen (isSym arg_nameBase)
-                                                         (showString arg_nameBase) ""
-                            in [ DVarE showStringName `DAppE` dStringE (infix_rec ++ " = ")
-                               , showsPrecE 0 arg
-                               , DVarE showCommaSpaceName
-                               ])
-                          (zip tys args)
-              brace_comma_args =   (DVarE showCharName `DAppE` dCharE '{')
-                                 : take (length show_args - 1) show_args
-              composed_args = foldr (\x y -> DVarE composeName `DAppE` x `DAppE` y)
-                                    (DVarE showCharName `DAppE` dCharE '}')
-                                    brace_comma_args
-              named_args = DVarE composeName
-                             `DAppE` (DVarE showStringName
-                                       `DAppE` dStringE (parenInfixConName con_name " "))
-                             `DAppE` composed_args
-          return $ DClause [DVarP p, DConP con_name [] $ map DVarP args] $
-            DVarE showParenName
-              `DAppE` (DVarE gtName `DAppE` DVarE p `DAppE` dIntegerE appPrec)
-              `DAppE` named_args
-
--- | Parenthesize an infix constructor name if it is being applied as a prefix
--- function (e.g., data Amp a = (:&) a a)
-parenInfixConName :: Name -> ShowS
-parenInfixConName conName =
-    let conNameBase = nameBase conName
-    in showParen (isInfixDataCon conNameBase) $ showString conNameBase
-
-showsPrecE :: Int -> Name -> DExp
-showsPrecE prec n = DVarE showsPrecName `DAppE` dIntegerE prec `DAppE` DVarE n
-
-dCharE :: Char -> DExp
-dCharE = DLitE . CharL
-
-dStringE :: String -> DExp
-dStringE = DLitE . StringL
-
-dIntegerE :: Int -> DExp
-dIntegerE = DLitE . IntegerL . fromIntegral
-
-isSym :: String -> Bool
-isSym ""      = False
-isSym (c : _) = startsVarSym c || startsConSym c
-
--- | Turn a context like @('Show' a, 'Show' b)@ into @('ShowSing' a, 'ShowSing' b)@.
--- This is necessary for standalone-derived 'Show' instances for singleton types.
-mkShowSingContext :: DCxt -> DCxt
-mkShowSingContext = map show_to_SingShow
-  where
-    show_to_SingShow :: DPred -> DPred
-    show_to_SingShow = modifyConNameDType $ \n ->
-                         if n == showName
-                            then showSingName
-                            else n
+-----------------------------------------------------------------------------+-- |+-- Module      :  Data.Singletons.TH.Deriving.Show+-- Copyright   :  (C) 2017 Ryan Scott+-- License     :  BSD-style (see LICENSE)+-- Maintainer  :  Ryan Scott+-- Stability   :  experimental+-- Portability :  non-portable+--+-- Implements deriving of Show instances+--+----------------------------------------------------------------------------++module Data.Singletons.TH.Deriving.Show (+    mkShowInstance+  , mkShowSingContext+  ) where++import Language.Haskell.TH.Syntax hiding (showName)+import Language.Haskell.TH.Desugar+import Data.Singletons.TH.Deriving.Infer+import Data.Singletons.TH.Deriving.Util+import Data.Singletons.TH.Names+import Data.Singletons.TH.Options+import Data.Singletons.TH.Syntax+import Data.Singletons.TH.Util+import Data.Maybe (fromMaybe)+import GHC.Lexeme (startsConSym, startsVarSym)+import GHC.Show (appPrec, appPrec1)++mkShowInstance :: OptionsMonad q => DerivDesc q+mkShowInstance mb_ctxt ty (DataDecl _ _ _ cons) = do+  clauses <- mk_showsPrec cons+  constraints <- inferConstraintsDef mb_ctxt (DConT showName) ty cons+  return $ InstDecl { id_cxt = constraints+                    , id_name = showName+                    , id_arg_tys = [ty]+                    , id_sigs  = mempty+                    , id_meths = [ (showsPrecName, UFunction clauses) ] }++mk_showsPrec :: OptionsMonad q => [DCon] -> q [DClause]+mk_showsPrec cons = do+    p <- newUniqueName "p" -- The precedence argument (not always used)+    if null cons+       then do v <- newUniqueName "v"+               pure [DClause [DWildP, DVarP v] (DCaseE (DVarE v) [])]+       else mapM (mk_showsPrec_clause p) cons++mk_showsPrec_clause :: forall q. DsMonad q+                    => Name -> DCon+                    -> q DClause+mk_showsPrec_clause p (DCon _ _ con_name con_fields _) = go con_fields+  where+    go :: DConFields -> q DClause+    go con_fields' = do+      case con_fields' of++        -- No fields: print just the constructor name, with no parentheses+        DNormalC _ [] -> return $+          DClause [DWildP, DConP con_name [] []] $+            DVarE showStringName `DAppE` dStringE (parenInfixConName con_name "")++        -- Infix constructors have special Show treatment.+        DNormalC True [_, _] -> do+          argL   <- newUniqueName "argL"+          argR   <- newUniqueName "argR"+          fi <- fromMaybe defaultFixity <$> reifyFixityWithLocals con_name+          let con_prec = case fi of Fixity prec _ -> prec+              op_name  = nameBase con_name+              infixOpE = DAppE (DVarE showStringName) . dStringE $+                           if isInfixDataCon op_name+                              then " "  ++ op_name ++ " "+                              -- Make sure to handle infix data constructors+                              -- like (Int `Foo` Int)+                              else " `" ++ op_name ++ "` "+          return $ DClause [DVarP p, DConP con_name [] [DVarP argL, DVarP argR]] $+            (DVarE showParenName `DAppE` (DVarE gtName `DAppE` DVarE p+                                                       `DAppE` dIntegerE con_prec))+              `DAppE` (DVarE composeName+                         `DAppE` showsPrecE (con_prec + 1) argL+                         `DAppE` (DVarE composeName+                                    `DAppE` infixOpE+                                    `DAppE` showsPrecE (con_prec + 1) argR))++        DNormalC _ tys -> do+          args <- mapM (const $ newUniqueName "arg")   tys+          let show_args     = map (showsPrecE appPrec1) args+              composed_args = foldr1 (\v q -> DVarE composeName+                                               `DAppE` v+                                               `DAppE` (DVarE composeName+                                                         `DAppE` DVarE showSpaceName+                                                         `DAppE` q)) show_args+              named_args = DVarE composeName+                             `DAppE` (DVarE showStringName+                                       `DAppE` dStringE (parenInfixConName con_name " "))+                             `DAppE` composed_args+          return $ DClause [DVarP p, DConP con_name [] $ map DVarP args] $+            DVarE showParenName+              `DAppE` (DVarE gtName `DAppE` DVarE p `DAppE` dIntegerE appPrec)+              `DAppE` named_args++        -- We show a record constructor with no fields the same way we'd show a+        -- normal constructor with no fields.+        DRecC [] -> go (DNormalC False [])++        DRecC tys -> do+          args <- mapM (const $ newUniqueName "arg") tys+          let show_args =+                concatMap (\((arg_name, _, _), arg) ->+                            let arg_nameBase = nameBase arg_name+                                infix_rec    = showParen (isSym arg_nameBase)+                                                         (showString arg_nameBase) ""+                            in [ DVarE showStringName `DAppE` dStringE (infix_rec ++ " = ")+                               , showsPrecE 0 arg+                               , DVarE showCommaSpaceName+                               ])+                          (zip tys args)+              brace_comma_args =   (DVarE showCharName `DAppE` dCharE '{')+                                 : take (length show_args - 1) show_args+              composed_args = foldr (\x y -> DVarE composeName `DAppE` x `DAppE` y)+                                    (DVarE showCharName `DAppE` dCharE '}')+                                    brace_comma_args+              named_args = DVarE composeName+                             `DAppE` (DVarE showStringName+                                       `DAppE` dStringE (parenInfixConName con_name " "))+                             `DAppE` composed_args+          return $ DClause [DVarP p, DConP con_name [] $ map DVarP args] $+            DVarE showParenName+              `DAppE` (DVarE gtName `DAppE` DVarE p `DAppE` dIntegerE appPrec)+              `DAppE` named_args++-- | Parenthesize an infix constructor name if it is being applied as a prefix+-- function (e.g., data Amp a = (:&) a a)+parenInfixConName :: Name -> ShowS+parenInfixConName conName =+    let conNameBase = nameBase conName+    in showParen (isInfixDataCon conNameBase) $ showString conNameBase++showsPrecE :: Int -> Name -> DExp+showsPrecE prec n = DVarE showsPrecName `DAppE` dIntegerE prec `DAppE` DVarE n++dCharE :: Char -> DExp+dCharE = DLitE . CharL++dStringE :: String -> DExp+dStringE = DLitE . StringL++dIntegerE :: Int -> DExp+dIntegerE = DLitE . IntegerL . fromIntegral++isSym :: String -> Bool+isSym ""      = False+isSym (c : _) = startsVarSym c || startsConSym c++-- | Turn a context like @('Show' a, 'Show' b)@ into @('ShowSing' a, 'ShowSing' b)@.+-- This is necessary for standalone-derived 'Show' instances for singleton types.+mkShowSingContext :: DCxt -> DCxt+mkShowSingContext = map show_to_SingShow+  where+    show_to_SingShow :: DPred -> DPred+    show_to_SingShow = modifyConNameDType $ \n ->+                         if n == showName+                            then showSingName+                            else n
src/Data/Singletons/TH/Deriving/Traversable.hs view
@@ -1,67 +1,67 @@------------------------------------------------------------------------------
--- |
--- Module      :  Data.Singletons.TH.Deriving.Traversable
--- Copyright   :  (C) 2018 Ryan Scott
--- License     :  BSD-style (see LICENSE)
--- Maintainer  :  Ryan Scott
--- Stability   :  experimental
--- Portability :  non-portable
---
--- Implements deriving of Traversable instances
---
-----------------------------------------------------------------------------
-
-module Data.Singletons.TH.Deriving.Traversable where
-
-import Data.Singletons.TH.Deriving.Infer
-import Data.Singletons.TH.Deriving.Util
-import Data.Singletons.TH.Names
-import Data.Singletons.TH.Syntax
-import Language.Haskell.TH.Desugar
-
-mkTraversableInstance :: forall q. DsMonad q => DerivDesc q
-mkTraversableInstance mb_ctxt ty dd@(DataDecl _ _ _ cons) = do
-  functorLikeValidityChecks False dd
-  f <- newUniqueName "_f"
-  let ft_trav :: FFoldType (q DExp)
-      ft_trav = FT { ft_triv = pure $ DVarE pureName
-                     -- traverse f = pure x
-                   , ft_var = pure $ DVarE f
-                     -- traverse f = f x
-                   , ft_ty_app = \_ g -> DAppE (DVarE traverseName) <$> g
-                     -- traverse f = traverse g
-                   , ft_forall = \_ g -> g
-                   , ft_bad_app = error "in other argument in ft_trav"
-                   }
-
-      -- Con a1 a2 ... -> Con <$> g1 a1 <*> g2 a2 <*> ...
-      clause_for_con :: [DPat] -> DCon -> [DExp] -> q DClause
-      clause_for_con = mkSimpleConClause $ \con_name -> mkApCon (DConE con_name)
-        where
-          -- ((Con <$> x1) <*> x2) <*> ...
-          mkApCon :: DExp -> [DExp] -> DExp
-          mkApCon con []  = DVarE pureName `DAppE` con
-          mkApCon con [x] = DVarE fmapName `DAppE` con `DAppE` x
-          mkApCon con (x1:x2:xs) =
-              foldl appAp (DVarE liftA2Name `DAppE` con `DAppE` x1 `DAppE` x2) xs
-            where appAp x y = DVarE apName `DAppE` x `DAppE` y
-
-      mk_trav_clause :: DCon -> q DClause
-      mk_trav_clause con = do
-        parts <- foldDataConArgs ft_trav con
-        clause_for_con [DVarP f] con =<< sequence parts
-
-      mk_trav :: q [DClause]
-      mk_trav = case cons of
-                  [] -> do v <- newUniqueName "v"
-                           pure [DClause [DWildP, DVarP v]
-                                         (DVarE pureName `DAppE` DCaseE (DVarE v) [])]
-                  _  -> traverse mk_trav_clause cons
-
-  trav_clauses <- mk_trav
-  constraints <- inferConstraintsDef mb_ctxt (DConT traversableName) ty cons
-  return $ InstDecl { id_cxt = constraints
-                    , id_name = traversableName
-                    , id_arg_tys = [ty]
-                    , id_sigs  = mempty
-                    , id_meths = [ (traverseName, UFunction trav_clauses) ] }
+-----------------------------------------------------------------------------+-- |+-- Module      :  Data.Singletons.TH.Deriving.Traversable+-- Copyright   :  (C) 2018 Ryan Scott+-- License     :  BSD-style (see LICENSE)+-- Maintainer  :  Ryan Scott+-- Stability   :  experimental+-- Portability :  non-portable+--+-- Implements deriving of Traversable instances+--+----------------------------------------------------------------------------++module Data.Singletons.TH.Deriving.Traversable where++import Data.Singletons.TH.Deriving.Infer+import Data.Singletons.TH.Deriving.Util+import Data.Singletons.TH.Names+import Data.Singletons.TH.Syntax+import Language.Haskell.TH.Desugar++mkTraversableInstance :: forall q. DsMonad q => DerivDesc q+mkTraversableInstance mb_ctxt ty dd@(DataDecl _ _ _ cons) = do+  functorLikeValidityChecks False dd+  f <- newUniqueName "_f"+  let ft_trav :: FFoldType (q DExp)+      ft_trav = FT { ft_triv = pure $ DVarE pureName+                     -- traverse f = pure x+                   , ft_var = pure $ DVarE f+                     -- traverse f = f x+                   , ft_ty_app = \_ g -> DAppE (DVarE traverseName) <$> g+                     -- traverse f = traverse g+                   , ft_forall = \_ g -> g+                   , ft_bad_app = error "in other argument in ft_trav"+                   }++      -- Con a1 a2 ... -> Con <$> g1 a1 <*> g2 a2 <*> ...+      clause_for_con :: [DPat] -> DCon -> [DExp] -> q DClause+      clause_for_con = mkSimpleConClause $ \con_name -> mkApCon (DConE con_name)+        where+          -- ((Con <$> x1) <*> x2) <*> ...+          mkApCon :: DExp -> [DExp] -> DExp+          mkApCon con []  = DVarE pureName `DAppE` con+          mkApCon con [x] = DVarE fmapName `DAppE` con `DAppE` x+          mkApCon con (x1:x2:xs) =+              foldl appAp (DVarE liftA2Name `DAppE` con `DAppE` x1 `DAppE` x2) xs+            where appAp x y = DVarE apName `DAppE` x `DAppE` y++      mk_trav_clause :: DCon -> q DClause+      mk_trav_clause con = do+        parts <- foldDataConArgs ft_trav con+        clause_for_con [DVarP f] con =<< sequence parts++      mk_trav :: q [DClause]+      mk_trav = case cons of+                  [] -> do v <- newUniqueName "v"+                           pure [DClause [DWildP, DVarP v]+                                         (DVarE pureName `DAppE` DCaseE (DVarE v) [])]+                  _  -> traverse mk_trav_clause cons++  trav_clauses <- mk_trav+  constraints <- inferConstraintsDef mb_ctxt (DConT traversableName) ty cons+  return $ InstDecl { id_cxt = constraints+                    , id_name = traversableName+                    , id_arg_tys = [ty]+                    , id_sigs  = mempty+                    , id_meths = [ (traverseName, UFunction trav_clauses) ] }
src/Data/Singletons/TH/Deriving/Util.hs view
@@ -1,299 +1,299 @@-{-# LANGUAGE MultiWayIf #-}
-
------------------------------------------------------------------------------
--- |
--- Module      :  Data.Singletons.TH.Deriving.Util
--- Copyright   :  (C) 2018 Ryan Scott
--- License     :  BSD-style (see LICENSE)
--- Maintainer  :  Ryan Scott
--- Stability   :  experimental
--- Portability :  non-portable
---
--- Utilities used by the `deriving` machinery in singletons-th.
---
-----------------------------------------------------------------------------
-module Data.Singletons.TH.Deriving.Util where
-
-import Control.Monad
-import Data.Singletons.TH.Names
-import Data.Singletons.TH.Syntax
-import Data.Singletons.TH.Util
-import Language.Haskell.TH.Desugar
-import qualified Language.Haskell.TH.Desugar.OSet as OSet
-import Language.Haskell.TH.Syntax
-
--- A generic type signature for describing how to produce a derived instance.
-type DerivDesc q
-   = Maybe DCxt  -- (Just ctx) if ctx was provided via StandaloneDeriving.
-                 -- Nothing if using a deriving clause.
-  -> DType       -- The data type argument to the class.
-  -> DataDecl    -- The original data type information.
-  -> q UInstDecl -- The derived instance.
-
------
--- Utilities for deriving Functor-like classes.
--- Much of this was cargo-culted from the GHC source code.
------
-
-data FFoldType a      -- Describes how to fold over a DType in a functor like way
-   = FT { ft_triv    :: a
-          -- ^ Does not contain variable
-        , ft_var     :: a
-          -- ^ The variable itself
-        , ft_ty_app  :: DType -> a -> a
-          -- ^ Type app, variable only in last argument
-        , ft_bad_app :: a
-          -- ^ Type app, variable other than in last argument
-        , ft_forall  :: [DTyVarBndrSpec] -> a -> a
-          -- ^ Forall type
-        }
-
--- Note that in GHC, this function is pure. It must be monadic here since we:
---
--- (1) Expand type synonyms
--- (2) Detect type family applications
---
--- Which require reification in Template Haskell, but are pure in Core.
-functorLikeTraverse :: forall q a.
-                       DsMonad q
-                    => Name        -- ^ Variable to look for
-                    -> FFoldType a -- ^ How to fold
-                    -> DType       -- ^ Type to process
-                    -> q a
-functorLikeTraverse var (FT { ft_triv = caseTrivial, ft_var = caseVar
-                            , ft_ty_app = caseTyApp, ft_bad_app = caseWrongArg
-                            , ft_forall = caseForAll })
-                    ty
-  = do ty' <- expandType ty
-       (res, _) <- go ty'
-       pure res
-  where
-    go :: DType
-       -> q (a, Bool) -- (result of type a, does type contain var)
-    go t@DAppT{} = do
-      let (f, args) = unfoldDType t
-          vis_args  = filterDTANormals args
-      (_,   fc)  <- go f
-      (xrs, xcs) <- mapAndUnzipM go vis_args
-      let wrongArg  :: q (a, Bool)
-          wrongArg = pure (caseWrongArg, True)
-      if |  not (or xcs)
-         -> trivial -- Variable does not occur
-         -- At this point we know that xrs, xcs is not empty,
-         -- and at least one xr is True
-         |  fc || or (init xcs)
-         -> wrongArg                    -- T (..var..)    ty
-         |  otherwise                   -- T (..no var..) ty
-         -> do itf <- isInTypeFamilyApp var f vis_args
-               if itf -- We can't decompose type families, so
-                      -- error if we encounter one here.
-                  then wrongArg
-                  else pure (caseTyApp (last vis_args) (last xrs), True)
-    go (DAppKindT t k) = do
-      (_, kc) <- go k
-      if kc
-         then pure (caseWrongArg, True)
-         else go t
-    go (DSigT t k) = do
-      (_, kc) <- go k
-      if kc
-         then pure (caseWrongArg, True)
-         else go t
-    go (DVarT v)
-      | v == var = pure (caseVar, True)
-      | otherwise = trivial
-    go (DForallT tele t) = case tele of
-      DForallVis{} ->
-        fail "Unexpected visible forall in the type of a data constructor"
-      DForallInvis tvbs -> do
-        (tr, tc) <- go t
-        if var `notElem` map extractTvbName tvbs && tc
-           then pure (caseForAll tvbs tr, True)
-           else trivial
-    go (DConstrainedT _ t) =  go t
-    go (DConT {}) = trivial
-    go DArrowT    = trivial
-    go (DLitT {}) = trivial
-    go DWildCardT = trivial
-
-    trivial :: q (a, Bool)
-    trivial = pure (caseTrivial, False)
-
--- | Detect if a Name occurs as an argument to some type family. This makes an
--- effort to exclude /oversaturated/ arguments to type families. For instance,
--- if one declared the following type family:
---
--- @
--- type family F a :: Type -> Type
--- @
---
--- Then in the type @F a b@, we would consider @a@ to be an argument to @F@,
--- but not @b@.
-isInTypeFamilyApp :: forall q. DsMonad q => Name -> DType -> [DType] -> q Bool
-isInTypeFamilyApp name tyFun tyArgs =
-  case tyFun of
-    DConT tcName -> go tcName
-    _            -> pure False
-  where
-    go :: Name -> q Bool
-    go tcName = do
-      info <- dsReify tcName
-      case info of
-        Just (DTyConI dec _)
-          |  DOpenTypeFamilyD (DTypeFamilyHead _ bndrs _ _) <- dec
-          -> withinFirstArgs bndrs
-          |  DClosedTypeFamilyD (DTypeFamilyHead _ bndrs _ _) _ <- dec
-          -> withinFirstArgs bndrs
-        _ -> pure False
-
-    withinFirstArgs :: [a] -> q Bool
-    withinFirstArgs bndrs =
-      let firstArgs = take (length bndrs) tyArgs
-          argFVs    = foldMap fvDType firstArgs
-      in pure $ name `elem` argFVs
-
--- A crude approximation of cond_functorOK from GHC. This checks that:
---
--- (1) There's at least one type variable in the data type.
--- (2) It doesn't constrain the last type variable, e.g., data T a = Eq a => MkT a
--- (3) It doesn't use the last type variable in the wrong place, e.g. data T a = MkT (X a a)
---
--- This skips some things that cond_functorOK checks for but are tricky to
--- implement in Template Haskell, such as if the last type variable in the
--- constructor's return type is universally quantified. For example,
--- functorLikeValidityChecks would accept the following example that
--- cond_functorOK would reject:
---
--- @
--- data T a b where
---   MkT :: z -> T z z -- Last type variable is existential
--- deriving instance Functor (T a)
--- @
---
--- This isn't the end of the world, as it just means that the user will have to
--- deal with a more complex error message when the generate code fails to
--- typecheck.
-functorLikeValidityChecks :: forall q. DsMonad q => Bool -> DataDecl -> q ()
-functorLikeValidityChecks allowConstrainedLastTyVar (DataDecl _df n data_tvbs cons)
-  | null data_tvbs -- (1)
-  = fail $ "Data type " ++ nameBase n ++ " must have some type parameters"
-  | otherwise
-  = mapM_ check_con cons
-  where
-    check_con :: DCon -> q ()
-    check_con con = do
-      check_universal con
-      checks <- foldDataConArgs (ft_check (extractName con)) con
-      sequence_ checks
-
-    -- (2)
-    check_universal :: DCon -> q ()
-    check_universal (DCon _ con_theta con_name _ res_ty)
-      | allowConstrainedLastTyVar
-      = pure ()
-      | (_, res_ty_args) <- unfoldDType res_ty
-      , (_, last_res_ty_arg) <- snocView $ filterDTANormals res_ty_args
-      , Just last_tv <- getDVarTName_maybe last_res_ty_arg
-      = do if last_tv `OSet.notMember` foldMap fvDType con_theta
-              then pure ()
-              else fail $ badCon con_name existential
-      | otherwise
-      = fail $ badCon con_name existential
-
-    -- (3)
-    ft_check :: Name -> FFoldType (q ())
-    ft_check con_name =
-      FT { ft_triv    = pure ()
-         , ft_var     = pure ()
-         , ft_ty_app  = \_ x -> x
-         , ft_bad_app = fail $ badCon con_name wrong_arg
-         , ft_forall  = \_ x -> x
-         }
-
-    badCon :: Name -> String -> String
-    badCon con_name msg = "Constructor " ++ nameBase con_name ++ " " ++ msg
-
-    existential, wrong_arg :: String
-    existential = "must be truly polymorphic in the last argument of the data type"
-    wrong_arg   = "must use the type variable only as the last argument of a data type"
-
--- Return all syntactic subterms of a type that contain the given variable somewhere.
--- These are the things that should appear in Functor-like instance constraints.
-deepSubtypesContaining :: DsMonad q => Name -> DType -> q [DType]
-deepSubtypesContaining tv
-  = functorLikeTraverse tv
-        (FT { ft_triv    = []
-            , ft_var     = []
-            , ft_ty_app  = (:)
-            , ft_bad_app = error "in other argument in deepSubtypesContaining"
-            , ft_forall  = \tvbs xs -> filter (\x -> all (not_in_ty x) tvbs) xs })
-  where
-    not_in_ty :: DType -> DTyVarBndrSpec -> Bool
-    not_in_ty ty tvb = extractTvbName tvb `OSet.notMember` fvDType ty
-
--- Fold over the arguments of a data constructor in a Functor-like way.
-foldDataConArgs :: forall q a. DsMonad q => FFoldType a -> DCon -> q [a]
-foldDataConArgs ft (DCon _ _ _ fields res_ty) = do
-  field_tys <- traverse expandType $ tysOfConFields fields
-  traverse foldArg field_tys
-  where
-    foldArg :: DType -> q a
-    foldArg
-      | (_, res_ty_args) <- unfoldDType res_ty
-      , (_, last_res_ty_arg) <- snocView $ filterDTANormals res_ty_args
-      , Just last_tv <- getDVarTName_maybe last_res_ty_arg
-      = functorLikeTraverse last_tv ft
-      | otherwise
-      = const (return (ft_triv ft))
-
--- If a type is a type variable (or a variable with a kind signature), return
--- 'Just' that. Otherwise, return 'Nothing'.
-getDVarTName_maybe :: DType -> Maybe Name
-getDVarTName_maybe (DSigT t _) = getDVarTName_maybe t
-getDVarTName_maybe (DVarT n)   = Just n
-getDVarTName_maybe _           = Nothing
-
--- Make a 'DLamE' using a fresh variable.
-mkSimpleLam :: Quasi q => (DExp -> q DExp) -> q DExp
-mkSimpleLam lam = do
-  n <- newUniqueName "n"
-  body <- lam (DVarE n)
-  return $ DLamE [n] body
-
--- Make a 'DLamE' using two fresh variables.
-mkSimpleLam2 :: Quasi q => (DExp -> DExp -> q DExp) -> q DExp
-mkSimpleLam2 lam = do
-  n1 <- newUniqueName "n1"
-  n2 <- newUniqueName "n2"
-  body <- lam (DVarE n1) (DVarE n2)
-  return $ DLamE [n1, n2] body
-
--- "Con a1 a2 a3 -> fold [x1 a1, x2 a2, x3 a3]"
---
--- @mkSimpleConClause fold extra_pats con insides@ produces a match clause in
--- which the LHS pattern-matches on @extra_pats@, followed by a match on the
--- constructor @con@ and its arguments. The RHS folds (with @fold@) over @con@
--- and its arguments, applying an expression (from @insides@) to each of the
--- respective arguments of @con@.
-mkSimpleConClause :: Quasi q
-                  => (Name -> [DExp] -> DExp)
-                  -> [DPat]
-                  -> DCon
-                  -> [DExp]
-                  -> q DClause
-mkSimpleConClause fold extra_pats (DCon _ _ con_name _ _) insides = do
-  vars_needed <- replicateM (length insides) $ newUniqueName "a"
-  let pat = DConP con_name [] (map DVarP vars_needed)
-      rhs = fold con_name (zipWith (\i v -> i `DAppE` DVarE v) insides vars_needed)
-  pure $ DClause (extra_pats ++ [pat]) rhs
-
--- 'True' if the derived class's last argument is of kind (Type -> Type),
--- and thus needs a different constraint inference approach.
---
--- Really, we should be determining this information by inspecting the kind
--- of the class being used. But that comes dangerously close to kind
--- inference territory, so for now we simply hardcode which stock derivable
--- classes are Functor-like.
-isFunctorLikeClassName :: Name -> Bool
-isFunctorLikeClassName class_name
-  = class_name `elem` [functorName, foldableName, traversableName]
+{-# LANGUAGE MultiWayIf #-}++-----------------------------------------------------------------------------+-- |+-- Module      :  Data.Singletons.TH.Deriving.Util+-- Copyright   :  (C) 2018 Ryan Scott+-- License     :  BSD-style (see LICENSE)+-- Maintainer  :  Ryan Scott+-- Stability   :  experimental+-- Portability :  non-portable+--+-- Utilities used by the `deriving` machinery in singletons-th.+--+----------------------------------------------------------------------------+module Data.Singletons.TH.Deriving.Util where++import Control.Monad+import Data.Singletons.TH.Names+import Data.Singletons.TH.Syntax+import Data.Singletons.TH.Util+import Language.Haskell.TH.Desugar+import qualified Language.Haskell.TH.Desugar.OSet as OSet+import Language.Haskell.TH.Syntax++-- A generic type signature for describing how to produce a derived instance.+type DerivDesc q+   = Maybe DCxt  -- (Just ctx) if ctx was provided via StandaloneDeriving.+                 -- Nothing if using a deriving clause.+  -> DType       -- The data type argument to the class.+  -> DataDecl    -- The original data type information.+  -> q UInstDecl -- The derived instance.++-----+-- Utilities for deriving Functor-like classes.+-- Much of this was cargo-culted from the GHC source code.+-----++data FFoldType a      -- Describes how to fold over a DType in a functor like way+   = FT { ft_triv    :: a+          -- ^ Does not contain variable+        , ft_var     :: a+          -- ^ The variable itself+        , ft_ty_app  :: DType -> a -> a+          -- ^ Type app, variable only in last argument+        , ft_bad_app :: a+          -- ^ Type app, variable other than in last argument+        , ft_forall  :: [DTyVarBndrSpec] -> a -> a+          -- ^ Forall type+        }++-- Note that in GHC, this function is pure. It must be monadic here since we:+--+-- (1) Expand type synonyms+-- (2) Detect type family applications+--+-- Which require reification in Template Haskell, but are pure in Core.+functorLikeTraverse :: forall q a.+                       DsMonad q+                    => Name        -- ^ Variable to look for+                    -> FFoldType a -- ^ How to fold+                    -> DType       -- ^ Type to process+                    -> q a+functorLikeTraverse var (FT { ft_triv = caseTrivial, ft_var = caseVar+                            , ft_ty_app = caseTyApp, ft_bad_app = caseWrongArg+                            , ft_forall = caseForAll })+                    ty+  = do ty' <- expandType ty+       (res, _) <- go ty'+       pure res+  where+    go :: DType+       -> q (a, Bool) -- (result of type a, does type contain var)+    go t@DAppT{} = do+      let (f, args) = unfoldDType t+          vis_args  = filterDTANormals args+      (_,   fc)  <- go f+      (xrs, xcs) <- mapAndUnzipM go vis_args+      let wrongArg  :: q (a, Bool)+          wrongArg = pure (caseWrongArg, True)+      if |  not (or xcs)+         -> trivial -- Variable does not occur+         -- At this point we know that xrs, xcs is not empty,+         -- and at least one xr is True+         |  fc || or (init xcs)+         -> wrongArg                    -- T (..var..)    ty+         |  otherwise                   -- T (..no var..) ty+         -> do itf <- isInTypeFamilyApp var f vis_args+               if itf -- We can't decompose type families, so+                      -- error if we encounter one here.+                  then wrongArg+                  else pure (caseTyApp (last vis_args) (last xrs), True)+    go (DAppKindT t k) = do+      (_, kc) <- go k+      if kc+         then pure (caseWrongArg, True)+         else go t+    go (DSigT t k) = do+      (_, kc) <- go k+      if kc+         then pure (caseWrongArg, True)+         else go t+    go (DVarT v)+      | v == var = pure (caseVar, True)+      | otherwise = trivial+    go (DForallT tele t) = case tele of+      DForallVis{} ->+        fail "Unexpected visible forall in the type of a data constructor"+      DForallInvis tvbs -> do+        (tr, tc) <- go t+        if var `notElem` map extractTvbName tvbs && tc+           then pure (caseForAll tvbs tr, True)+           else trivial+    go (DConstrainedT _ t) =  go t+    go (DConT {}) = trivial+    go DArrowT    = trivial+    go (DLitT {}) = trivial+    go DWildCardT = trivial++    trivial :: q (a, Bool)+    trivial = pure (caseTrivial, False)++-- | Detect if a Name occurs as an argument to some type family. This makes an+-- effort to exclude /oversaturated/ arguments to type families. For instance,+-- if one declared the following type family:+--+-- @+-- type family F a :: Type -> Type+-- @+--+-- Then in the type @F a b@, we would consider @a@ to be an argument to @F@,+-- but not @b@.+isInTypeFamilyApp :: forall q. DsMonad q => Name -> DType -> [DType] -> q Bool+isInTypeFamilyApp name tyFun tyArgs =+  case tyFun of+    DConT tcName -> go tcName+    _            -> pure False+  where+    go :: Name -> q Bool+    go tcName = do+      info <- dsReify tcName+      case info of+        Just (DTyConI dec _)+          |  DOpenTypeFamilyD (DTypeFamilyHead _ bndrs _ _) <- dec+          -> withinFirstArgs bndrs+          |  DClosedTypeFamilyD (DTypeFamilyHead _ bndrs _ _) _ <- dec+          -> withinFirstArgs bndrs+        _ -> pure False++    withinFirstArgs :: [a] -> q Bool+    withinFirstArgs bndrs =+      let firstArgs = take (length bndrs) tyArgs+          argFVs    = foldMap fvDType firstArgs+      in pure $ name `elem` argFVs++-- A crude approximation of cond_functorOK from GHC. This checks that:+--+-- (1) There's at least one type variable in the data type.+-- (2) It doesn't constrain the last type variable, e.g., data T a = Eq a => MkT a+-- (3) It doesn't use the last type variable in the wrong place, e.g. data T a = MkT (X a a)+--+-- This skips some things that cond_functorOK checks for but are tricky to+-- implement in Template Haskell, such as if the last type variable in the+-- constructor's return type is universally quantified. For example,+-- functorLikeValidityChecks would accept the following example that+-- cond_functorOK would reject:+--+-- @+-- data T a b where+--   MkT :: z -> T z z -- Last type variable is existential+-- deriving instance Functor (T a)+-- @+--+-- This isn't the end of the world, as it just means that the user will have to+-- deal with a more complex error message when the generate code fails to+-- typecheck.+functorLikeValidityChecks :: forall q. DsMonad q => Bool -> DataDecl -> q ()+functorLikeValidityChecks allowConstrainedLastTyVar (DataDecl _df n data_tvbs cons)+  | null data_tvbs -- (1)+  = fail $ "Data type " ++ nameBase n ++ " must have some type parameters"+  | otherwise+  = mapM_ check_con cons+  where+    check_con :: DCon -> q ()+    check_con con = do+      check_universal con+      checks <- foldDataConArgs (ft_check (extractName con)) con+      sequence_ checks++    -- (2)+    check_universal :: DCon -> q ()+    check_universal (DCon _ con_theta con_name _ res_ty)+      | allowConstrainedLastTyVar+      = pure ()+      | (_, res_ty_args) <- unfoldDType res_ty+      , (_, last_res_ty_arg) <- snocView $ filterDTANormals res_ty_args+      , Just last_tv <- getDVarTName_maybe last_res_ty_arg+      = do if last_tv `OSet.notMember` foldMap fvDType con_theta+              then pure ()+              else fail $ badCon con_name existential+      | otherwise+      = fail $ badCon con_name existential++    -- (3)+    ft_check :: Name -> FFoldType (q ())+    ft_check con_name =+      FT { ft_triv    = pure ()+         , ft_var     = pure ()+         , ft_ty_app  = \_ x -> x+         , ft_bad_app = fail $ badCon con_name wrong_arg+         , ft_forall  = \_ x -> x+         }++    badCon :: Name -> String -> String+    badCon con_name msg = "Constructor " ++ nameBase con_name ++ " " ++ msg++    existential, wrong_arg :: String+    existential = "must be truly polymorphic in the last argument of the data type"+    wrong_arg   = "must use the type variable only as the last argument of a data type"++-- Return all syntactic subterms of a type that contain the given variable somewhere.+-- These are the things that should appear in Functor-like instance constraints.+deepSubtypesContaining :: DsMonad q => Name -> DType -> q [DType]+deepSubtypesContaining tv+  = functorLikeTraverse tv+        (FT { ft_triv    = []+            , ft_var     = []+            , ft_ty_app  = (:)+            , ft_bad_app = error "in other argument in deepSubtypesContaining"+            , ft_forall  = \tvbs xs -> filter (\x -> all (not_in_ty x) tvbs) xs })+  where+    not_in_ty :: DType -> DTyVarBndrSpec -> Bool+    not_in_ty ty tvb = extractTvbName tvb `OSet.notMember` fvDType ty++-- Fold over the arguments of a data constructor in a Functor-like way.+foldDataConArgs :: forall q a. DsMonad q => FFoldType a -> DCon -> q [a]+foldDataConArgs ft (DCon _ _ _ fields res_ty) = do+  field_tys <- traverse expandType $ tysOfConFields fields+  traverse foldArg field_tys+  where+    foldArg :: DType -> q a+    foldArg+      | (_, res_ty_args) <- unfoldDType res_ty+      , (_, last_res_ty_arg) <- snocView $ filterDTANormals res_ty_args+      , Just last_tv <- getDVarTName_maybe last_res_ty_arg+      = functorLikeTraverse last_tv ft+      | otherwise+      = const (return (ft_triv ft))++-- If a type is a type variable (or a variable with a kind signature), return+-- 'Just' that. Otherwise, return 'Nothing'.+getDVarTName_maybe :: DType -> Maybe Name+getDVarTName_maybe (DSigT t _) = getDVarTName_maybe t+getDVarTName_maybe (DVarT n)   = Just n+getDVarTName_maybe _           = Nothing++-- Make a 'DLamE' using a fresh variable.+mkSimpleLam :: Quasi q => (DExp -> q DExp) -> q DExp+mkSimpleLam lam = do+  n <- newUniqueName "n"+  body <- lam (DVarE n)+  return $ DLamE [n] body++-- Make a 'DLamE' using two fresh variables.+mkSimpleLam2 :: Quasi q => (DExp -> DExp -> q DExp) -> q DExp+mkSimpleLam2 lam = do+  n1 <- newUniqueName "n1"+  n2 <- newUniqueName "n2"+  body <- lam (DVarE n1) (DVarE n2)+  return $ DLamE [n1, n2] body++-- "Con a1 a2 a3 -> fold [x1 a1, x2 a2, x3 a3]"+--+-- @mkSimpleConClause fold extra_pats con insides@ produces a match clause in+-- which the LHS pattern-matches on @extra_pats@, followed by a match on the+-- constructor @con@ and its arguments. The RHS folds (with @fold@) over @con@+-- and its arguments, applying an expression (from @insides@) to each of the+-- respective arguments of @con@.+mkSimpleConClause :: Quasi q+                  => (Name -> [DExp] -> DExp)+                  -> [DPat]+                  -> DCon+                  -> [DExp]+                  -> q DClause+mkSimpleConClause fold extra_pats (DCon _ _ con_name _ _) insides = do+  vars_needed <- replicateM (length insides) $ newUniqueName "a"+  let pat = DConP con_name [] (map DVarP vars_needed)+      rhs = fold con_name (zipWith (\i v -> i `DAppE` DVarE v) insides vars_needed)+  pure $ DClause (extra_pats ++ [pat]) rhs++-- 'True' if the derived class's last argument is of kind (Type -> Type),+-- and thus needs a different constraint inference approach.+--+-- Really, we should be determining this information by inspecting the kind+-- of the class being used. But that comes dangerously close to kind+-- inference territory, so for now we simply hardcode which stock derivable+-- classes are Functor-like.+isFunctorLikeClassName :: Name -> Bool+isFunctorLikeClassName class_name+  = class_name `elem` [functorName, foldableName, traversableName]
src/Data/Singletons/TH/Names.hs view
@@ -1,269 +1,274 @@-{-# LANGUAGE TemplateHaskellQuotes #-}
-
-{- Data/Singletons/TH/Names.hs
-
-(c) Richard Eisenberg 2014
-rae@cs.brynmawr.edu
-
-Defining names and manipulations on names for use in promotion and singling.
--}
-
-module Data.Singletons.TH.Names where
-
-import Data.Singletons
-import Data.Singletons.Decide
-import Data.Singletons.ShowSing
-import Data.Singletons.TH.SuppressUnusedWarnings
-import Data.Singletons.TH.Util
-import Language.Haskell.TH.Syntax
-import Language.Haskell.TH.Desugar
-import GHC.TypeLits ( Symbol )
-import GHC.Exts ( Constraint )
-import GHC.Show ( showCommaSpace, showSpace )
-import Data.String (fromString)
-import Data.Type.Equality ( TestEquality(..) )
-import Data.Type.Coercion ( TestCoercion(..) )
-
-{-
-Note [Wired-in Names]
-~~~~~~~~~~~~~~~~~~~~~
-The list of Names below contains everything that the Template Haskell machinery
-needs to have special knowledge of. These names can be broadly categorized into
-two groups:
-
-1. Names of basic singleton definitions (Sing, SingKind, etc.). These are
-   spliced directly into TH-generated code.
-2. Names of definitions from the Prelude. These are not spliced into
-   TH-generated code, but are instead used as the namesakes for promoted and
-   singled definitions. For example, the TH machinery must be aware of the Name
-   `fromInteger` so that it can promote and single the expression `42` to
-   `FromInteger 42` and `sFromInteger (sing @42)`, respectively.
-
-Note that we deliberately do not wire in promoted or singled Names, such as
-FromInteger or sFromInteger, for two reasons:
-
-a. We want all promoted and singled names to go through the naming options in
-   D.S.TH.Options. Splicing the name FromInteger directly into TH-generated
-   code, for instance, would prevent users from overriding the default options
-   in order to promote `fromInteger` to something else (e.g.,
-   MyCustomFromInteger).
-b. Wired in names live in particular modules, so if we were to wire in the name
-   FromInteger, it would come from GHC.Num.Singletons. This would effectively
-   prevent anyone from defining their own version of FromInteger and
-   piggybacking on top of the TH machinery to generate it, however. As a
-   result, we generate the name FromInteger completely unqualified so that
-   it picks up whichever version of FromInteger is in scope.
--}
-
-boolName, andName, compareName, minBoundName,
-  maxBoundName, repName,
-  nilName, consName, listName, tyFunArrowName,
-  applyName, applyTyConName, applyTyConAux1Name,
-  symbolName, stringName,
-  eqName, ordName, boundedName, orderingName,
-  singFamilyName, singIName, singI1Name, singI2Name,
-  singMethName, liftSingName, liftSing2Name, demoteName, withSingIName,
-  singKindClassName, someSingTypeName, someSingDataName,
-  sDecideClassName, sDecideMethName,
-  testEqualityClassName, testEqualityMethName, decideEqualityName,
-  testCoercionClassName, testCoercionMethName, decideCoercionName,
-  provedName, disprovedName, reflName, toSingName, fromSingName,
-  equalityName, applySingName, suppressClassName, suppressMethodName,
-  sameKindName, fromIntegerName, negateName,
-  errorName, foldlName, cmpEQName, cmpLTName, cmpGTName,
-  toEnumName, fromEnumName, enumName,
-  equalsName, constraintName,
-  showName, showSName, showCharName, showCommaSpaceName, showParenName, showsPrecName,
-  showSpaceName, showStringName, showSingName,
-  composeName, gtName, fromStringName,
-  foldableName, foldMapName, memptyName, mappendName, sappendName, foldrName,
-  functorName, fmapName, replaceName,
-  traversableName, traverseName, pureName, apName, liftA2Name :: Name
-boolName = ''Bool
-andName = '(&&)
-compareName = 'compare
-minBoundName = 'minBound
-maxBoundName = 'maxBound
-repName = mkName "Rep"   -- this is actually defined in client code!
-nilName = '[]
-consName = '(:)
-listName = ''[]
-tyFunArrowName = ''(~>)
-applyName = ''Apply
-applyTyConName = ''ApplyTyCon
-applyTyConAux1Name = ''ApplyTyConAux1
-symbolName = ''Symbol
-stringName = ''String
-eqName = ''Eq
-ordName = ''Ord
-boundedName = ''Bounded
-orderingName = ''Ordering
-singFamilyName = ''Sing
-singIName = ''SingI
-singI1Name = ''SingI1
-singI2Name = ''SingI2
-singMethName = 'sing
-liftSingName = 'liftSing
-liftSing2Name = 'liftSing2
-toSingName = 'toSing
-fromSingName = 'fromSing
-demoteName = ''Demote
-withSingIName = 'withSingI
-singKindClassName = ''SingKind
-someSingTypeName = ''SomeSing
-someSingDataName = 'SomeSing
-sDecideClassName = ''SDecide
-sDecideMethName = '(%~)
-testEqualityClassName = ''TestEquality
-testEqualityMethName = 'testEquality
-decideEqualityName = 'decideEquality
-testCoercionClassName = ''TestCoercion
-testCoercionMethName = 'testCoercion
-decideCoercionName = 'decideCoercion
-provedName = 'Proved
-disprovedName = 'Disproved
-reflName = 'Refl
-equalityName = ''(~)
-applySingName = 'applySing
-suppressClassName = ''SuppressUnusedWarnings
-suppressMethodName = 'suppressUnusedWarnings
-sameKindName = ''SameKind
-fromIntegerName = 'fromInteger
-negateName = 'negate
-errorName = 'error
-foldlName = 'foldl
-cmpEQName = 'EQ
-cmpLTName = 'LT
-cmpGTName = 'GT
-toEnumName = 'toEnum
-fromEnumName = 'fromEnum
-enumName = ''Enum
-equalsName = '(==)
-constraintName = ''Constraint
-showName = ''Show
-showSName = ''ShowS
-showCharName = 'showChar
-showParenName = 'showParen
-showSpaceName = 'showSpace
-showsPrecName = 'showsPrec
-showStringName = 'showString
-showSingName = ''ShowSing
-composeName = '(.)
-gtName = '(>)
-showCommaSpaceName = 'showCommaSpace
-fromStringName = 'fromString
-foldableName = ''Foldable
-foldMapName = 'foldMap
-memptyName = 'mempty
-mappendName = 'mappend
-sappendName = '(<>)
-foldrName = 'foldr
-functorName = ''Functor
-fmapName = 'fmap
-replaceName = '(<$)
-traversableName = ''Traversable
-traverseName = 'traverse
-pureName = 'pure
-apName = '(<*>)
-liftA2Name = 'liftA2
-
-mkTyName :: Quasi q => Name -> q Name
-mkTyName tmName = do
-  let nameStr  = nameBase tmName
-      symbolic = not (isHsLetter (head nameStr))
-  qNewName (if symbolic then "ty" else nameStr)
-
-mkTyConName :: Int -> Name
-mkTyConName i = mkName $ "TyCon" ++ show i
-
-mkSingIName :: Int -> Name
-mkSingIName 0 = singIName
-mkSingIName 1 = singI1Name
-mkSingIName 2 = singI2Name
-mkSingIName n = error $ "SingI" ++ show n ++ " does not exist"
-
-mkSingMethName :: Int -> Name
-mkSingMethName 0 = singMethName
-mkSingMethName 1 = liftSingName
-mkSingMethName 2 = liftSing2Name
-mkSingMethName n = error $ "SingI" ++ show n ++ " does not exist"
-
-boolKi :: DKind
-boolKi = DConT boolName
-
-singFamily :: DType
-singFamily = DConT singFamilyName
-
-singKindConstraint :: DKind -> DPred
-singKindConstraint = DAppT (DConT singKindClassName)
-
-demote :: DType
-demote = DConT demoteName
-
-apply :: DType -> DType -> DType
-apply t1 t2 = DAppT (DAppT (DConT applyName) t1) t2
-
-mkListE :: [DExp] -> DExp
-mkListE =
-  foldr (\h t -> DConE consName `DAppE` h `DAppE` t) (DConE nilName)
-
--- apply a type to a list of types using Apply type family
--- This is defined here, not in Utils, to avoid cyclic dependencies
-foldApply :: DType -> [DType] -> DType
-foldApply = foldl apply
-
--- make an equality predicate
-mkEqPred :: DType -> DType -> DPred
-mkEqPred ty1 ty2 = foldType (DConT equalityName) [ty1, ty2]
-
--- | If a 'String' begins with one or more underscores, return
--- @'Just' (us, rest)@, where @us@ contain all of the underscores at the
--- beginning of the 'String' and @rest@ contains the remainder of the 'String'.
--- Otherwise, return 'Nothing'.
-splitUnderscores :: String -> Maybe (String, String)
-splitUnderscores s = case span (== '_') s of
-                       ([], _) -> Nothing
-                       res     -> Just res
-
--- Walk a DType, applying a function to all occurrences of constructor names.
-modifyConNameDType :: (Name -> Name) -> DType -> DType
-modifyConNameDType mod_con_name = go
-  where
-    go :: DType -> DType
-    go (DForallT tele p)     = DForallT tele (go p)
-    go (DConstrainedT cxt p) = DConstrainedT (map go cxt) (go p)
-    go (DAppT     p t)       = DAppT     (go p) t
-    go (DAppKindT p k)       = DAppKindT (go p) k
-    go (DSigT     p k)       = DSigT     (go p) k
-    go p@(DVarT _)           = p
-    go (DConT n)             = DConT (mod_con_name n)
-    go p@DWildCardT          = p
-    go p@(DLitT {})          = p
-    go p@DArrowT             = p
-
-{-
-Note [Defunctionalization symbol suffixes]
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-Before, we used to denote defunctionalization symbols by simply appending dollar
-signs at the end (e.g., (+$) and (+$$)). But this can lead to ambiguity when you
-have function names that consist of solely $ characters. For instance, if you
-tried to promote ($) and ($$) simultaneously, you'd get these promoted types:
-
-$
-$$
-
-And these defunctionalization symbols:
-
-$$
-$$$
-
-But now there's a name clash between the promoted type for ($) and the
-defunctionalization symbol for ($$)! The solution is to use a precede these
-defunctionalization dollar signs with another string (we choose @#@).
-So now the new defunctionalization symbols would be:
-
-$@#@$
-$@#@$$
-
-And there is no conflict.
--}
+{-# LANGUAGE TemplateHaskellQuotes #-}++{- Data/Singletons/TH/Names.hs++(c) Richard Eisenberg 2014+rae@cs.brynmawr.edu++Defining names and manipulations on names for use in promotion and singling.+-}++module Data.Singletons.TH.Names where++import Data.Singletons+import Data.Singletons.Decide+import Data.Singletons.ShowSing+import Data.Singletons.TH.SuppressUnusedWarnings+import Data.Singletons.TH.Util+import Language.Haskell.TH.Syntax+import Language.Haskell.TH.Desugar+import GHC.TypeLits ( Symbol )+import GHC.Exts ( Constraint )+import GHC.Show ( showCommaSpace, showSpace )+import Data.String (fromString)+import Data.Type.Equality ( TestEquality(..) )+import Data.Type.Coercion ( TestCoercion(..) )++{-+Note [Wired-in Names]+~~~~~~~~~~~~~~~~~~~~~+The list of Names below contains everything that the Template Haskell machinery+needs to have special knowledge of. These names can be broadly categorized into+two groups:++1. Names of basic singleton definitions (Sing, SingKind, etc.). These are+   spliced directly into TH-generated code.+2. Names of definitions from the Prelude. These are not spliced into+   TH-generated code, but are instead used as the namesakes for promoted and+   singled definitions. For example, the TH machinery must be aware of the Name+   `fromInteger` so that it can promote and single the expression `42` to+   `FromInteger 42` and `sFromInteger (sing @42)`, respectively.++Note that we deliberately do not wire in promoted or singled Names, such as+FromInteger or sFromInteger, for two reasons:++a. We want all promoted and singled names to go through the naming options in+   D.S.TH.Options. Splicing the name FromInteger directly into TH-generated+   code, for instance, would prevent users from overriding the default options+   in order to promote `fromInteger` to something else (e.g.,+   MyCustomFromInteger).+b. Wired in names live in particular modules, so if we were to wire in the name+   FromInteger, it would come from GHC.Num.Singletons. This would effectively+   prevent anyone from defining their own version of FromInteger and+   piggybacking on top of the TH machinery to generate it, however. As a+   result, we generate the name FromInteger completely unqualified so that+   it picks up whichever version of FromInteger is in scope.+-}++boolName, andName, compareName, minBoundName,+  maxBoundName, repName,+  nilName, consName, listName, tyFunArrowName,+  applyName, applyTyConName, applyTyConAux1Name,+  symbolName, stringName,+  eqName, ordName, boundedName, orderingName,+  singFamilyName, singIName, singI1Name, singI2Name,+  singMethName, liftSingName, liftSing2Name, demoteName, withSingIName,+  singKindClassName, someSingTypeName, someSingDataName,+  sDecideClassName, sDecideMethName,+  testEqualityClassName, testEqualityMethName, decideEqualityName,+  testCoercionClassName, testCoercionMethName, decideCoercionName,+  provedName, disprovedName, reflName, toSingName, fromSingName,+  equalityName, applySingName, suppressClassName, suppressMethodName,+  sameKindName, fromIntegerName, negateName,+  errorName, foldlName, cmpEQName, cmpLTName, cmpGTName,+  toEnumName, fromEnumName, enumName,+  equalsName, constraintName,+  showName, showSName, showCharName, showCommaSpaceName, showParenName, showsPrecName,+  showSpaceName, showStringName, showSingName,+  composeName, gtName, fromStringName,+  foldableName, foldMapName, memptyName, mappendName, sappendName, foldrName,+  functorName, fmapName, replaceName,+  traversableName, traverseName, pureName, apName, liftA2Name :: Name+boolName = ''Bool+andName = '(&&)+compareName = 'compare+minBoundName = 'minBound+maxBoundName = 'maxBound+repName = mkName "Rep"   -- this is actually defined in client code!+nilName = '[]+consName = '(:)+listName = ''[]+tyFunArrowName = ''(~>)+applyName = ''Apply+applyTyConName = ''ApplyTyCon+applyTyConAux1Name = ''ApplyTyConAux1+symbolName = ''Symbol+stringName = ''String+eqName = ''Eq+ordName = ''Ord+boundedName = ''Bounded+orderingName = ''Ordering+singFamilyName = ''Sing+singIName = ''SingI+singI1Name = ''SingI1+singI2Name = ''SingI2+singMethName = 'sing+liftSingName = 'liftSing+liftSing2Name = 'liftSing2+toSingName = 'toSing+fromSingName = 'fromSing+demoteName = ''Demote+withSingIName = 'withSingI+singKindClassName = ''SingKind+someSingTypeName = ''SomeSing+someSingDataName = 'SomeSing+sDecideClassName = ''SDecide+sDecideMethName = '(%~)+testEqualityClassName = ''TestEquality+testEqualityMethName = 'testEquality+decideEqualityName = 'decideEquality+testCoercionClassName = ''TestCoercion+testCoercionMethName = 'testCoercion+decideCoercionName = 'decideCoercion+provedName = 'Proved+disprovedName = 'Disproved+reflName = 'Refl+equalityName = ''(~)+applySingName = 'applySing+suppressClassName = ''SuppressUnusedWarnings+suppressMethodName = 'suppressUnusedWarnings+sameKindName = ''SameKind+fromIntegerName = 'fromInteger+negateName = 'negate+errorName = 'error+foldlName = 'foldl+cmpEQName = 'EQ+cmpLTName = 'LT+cmpGTName = 'GT+toEnumName = 'toEnum+fromEnumName = 'fromEnum+enumName = ''Enum+equalsName = '(==)+constraintName = ''Constraint+showName = ''Show+showSName = ''ShowS+showCharName = 'showChar+showParenName = 'showParen+showSpaceName = 'showSpace+showsPrecName = 'showsPrec+showStringName = 'showString+showSingName = ''ShowSing+composeName = '(.)+gtName = '(>)+showCommaSpaceName = 'showCommaSpace+fromStringName = 'fromString+foldableName = ''Foldable+foldMapName = 'foldMap+memptyName = 'mempty+mappendName = 'mappend+sappendName = '(<>)+foldrName = 'foldr+functorName = ''Functor+fmapName = 'fmap+replaceName = '(<$)+traversableName = ''Traversable+traverseName = 'traverse+pureName = 'pure+apName = '(<*>)+liftA2Name = 'liftA2++-- | Return a fresh alphanumeric 'Name'. In particular, if the supplied 'Name'+-- is symbolic (e.g., (%%)), then return a fresh 'Name' with the 'OccName' @ty@.+-- Otherwise, return a fresh 'Name' with the same 'OccName' as the supplied+-- 'Name'. See @Note [Tracking local variables]@ in+-- "Data.Singletons.TH.Promote.Monad" for why we do this.+mkTyName :: Quasi q => Name -> q Name+mkTyName tmName = do+  let nameStr  = nameBase tmName+      symbolic = not (isHsLetter (headNameStr nameStr))+  qNewName (if symbolic then "ty" else nameStr)++mkTyConName :: Int -> Name+mkTyConName i = mkName $ "TyCon" ++ show i++mkSingIName :: Int -> Name+mkSingIName 0 = singIName+mkSingIName 1 = singI1Name+mkSingIName 2 = singI2Name+mkSingIName n = error $ "SingI" ++ show n ++ " does not exist"++mkSingMethName :: Int -> Name+mkSingMethName 0 = singMethName+mkSingMethName 1 = liftSingName+mkSingMethName 2 = liftSing2Name+mkSingMethName n = error $ "SingI" ++ show n ++ " does not exist"++boolKi :: DKind+boolKi = DConT boolName++singFamily :: DType+singFamily = DConT singFamilyName++singKindConstraint :: DKind -> DPred+singKindConstraint = DAppT (DConT singKindClassName)++demote :: DType+demote = DConT demoteName++apply :: DType -> DType -> DType+apply t1 t2 = DAppT (DAppT (DConT applyName) t1) t2++mkListE :: [DExp] -> DExp+mkListE =+  foldr (\h t -> DConE consName `DAppE` h `DAppE` t) (DConE nilName)++-- apply a type to a list of types using Apply type family+-- This is defined here, not in Utils, to avoid cyclic dependencies+foldApply :: DType -> [DType] -> DType+foldApply = foldl apply++-- make an equality predicate+mkEqPred :: DType -> DType -> DPred+mkEqPred ty1 ty2 = foldType (DConT equalityName) [ty1, ty2]++-- | If a 'String' begins with one or more underscores, return+-- @'Just' (us, rest)@, where @us@ contain all of the underscores at the+-- beginning of the 'String' and @rest@ contains the remainder of the 'String'.+-- Otherwise, return 'Nothing'.+splitUnderscores :: String -> Maybe (String, String)+splitUnderscores s = case span (== '_') s of+                       ([], _) -> Nothing+                       res     -> Just res++-- Walk a DType, applying a function to all occurrences of constructor names.+modifyConNameDType :: (Name -> Name) -> DType -> DType+modifyConNameDType mod_con_name = go+  where+    go :: DType -> DType+    go (DForallT tele p)     = DForallT tele (go p)+    go (DConstrainedT cxt p) = DConstrainedT (map go cxt) (go p)+    go (DAppT     p t)       = DAppT     (go p) t+    go (DAppKindT p k)       = DAppKindT (go p) k+    go (DSigT     p k)       = DSigT     (go p) k+    go p@(DVarT _)           = p+    go (DConT n)             = DConT (mod_con_name n)+    go p@DWildCardT          = p+    go p@(DLitT {})          = p+    go p@DArrowT             = p++{-+Note [Defunctionalization symbol suffixes]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+Before, we used to denote defunctionalization symbols by simply appending dollar+signs at the end (e.g., (+$) and (+$$)). But this can lead to ambiguity when you+have function names that consist of solely $ characters. For instance, if you+tried to promote ($) and ($$) simultaneously, you'd get these promoted types:++$+$$++And these defunctionalization symbols:++$$+$$$++But now there's a name clash between the promoted type for ($) and the+defunctionalization symbol for ($$)! The solution is to use a precede these+defunctionalization dollar signs with another string (we choose @#@).+So now the new defunctionalization symbols would be:++$@#@$+$@#@$$++And there is no conflict.+-}
src/Data/Singletons/TH/Options.hs view
@@ -1,341 +1,341 @@------------------------------------------------------------------------------
--- |
--- Module      :  Data.Singletons.TH.Options
--- Copyright   :  (C) 2019 Ryan Scott
--- License     :  BSD-style (see LICENSE)
--- Maintainer  :  Ryan Scott
--- Stability   :  experimental
--- Portability :  non-portable
---
--- This module defines 'Options' that control finer details of how the Template
--- Haskell machinery works, as well as an @mtl@-like 'OptionsMonad' class
--- and an 'OptionsM' monad transformer.
---
-----------------------------------------------------------------------------
-
-module Data.Singletons.TH.Options
-  ( -- * Options
-    Options, defaultOptions
-    -- ** Options record selectors
-  , genQuotedDecs
-  , genSingKindInsts
-  , promotedDataTypeOrConName
-  , promotedClassName
-  , promotedValueName
-  , singledDataTypeName
-  , singledClassName
-  , singledDataConName
-  , singledValueName
-  , defunctionalizedName
-    -- ** Derived functions over Options
-  , promotedTopLevelValueName
-  , promotedLetBoundValueName
-  , defunctionalizedName0
-
-    -- * OptionsMonad
-  , OptionsMonad(..), OptionsM, withOptions
-  ) where
-
-import Control.Applicative
-import Control.Monad.IO.Class (MonadIO)
-import Control.Monad.Reader (ReaderT(..), ask)
-import Control.Monad.RWS (RWST)
-import Control.Monad.State (StateT)
-import Control.Monad.Trans.Class (MonadTrans(..))
-import Control.Monad.Writer (WriterT)
-import Data.Singletons.TH.Names
-import Data.Singletons.TH.Util
-import Language.Haskell.TH.Desugar
-import Language.Haskell.TH.Instances () -- To obtain a Quote instance for ReaderT
-import Language.Haskell.TH.Syntax hiding (Lift(..))
-
--- | Options that control the finer details of how @singletons-th@'s Template
--- Haskell machinery works.
-data Options = Options
-  { genQuotedDecs :: Bool
-    -- ^ If 'True', then quoted declarations will be generated alongside their
-    --   promoted and singled counterparts. If 'False', then quoted
-    --   declarations will be discarded.
-  , genSingKindInsts :: Bool
-    -- ^ If 'True', then 'SingKind' instances will be generated. If 'False',
-    --   they will be omitted entirely. This can be useful in scenarios where
-    --   TH-generated 'SingKind' instances do not typecheck (for instance,
-    --   when generating singletons for GADTs).
-  , promotedDataTypeOrConName :: Name -> Name
-    -- ^ Given the name of the original data type or data constructor, produces
-    --   the name of the promoted equivalent. Unlike the singling-related
-    --   options, in which there are separate 'singledDataTypeName' and
-    --   'singledDataConName' functions, we combine the handling of promoted
-    --   data types and data constructors into a single option. This is because
-    --   the names of promoted data types and data constructors can be
-    --   difficult to distinguish in certain contexts without expensive
-    --   compile-time checks.
-    --
-    --   Because of the @DataKinds@ extension, most data type and data
-    --   constructor names can be used in promoted contexts without any
-    --   changes. As a result, this option will act like the identity function
-    --   99% of the time. There are some situations where it can be useful to
-    --   override this option, however, as it can be used to promote primitive
-    --   data types that do not have proper type-level equivalents, such as
-    --   'Natural' and 'Text'. See the
-    --   \"Arrows, 'Nat', 'Symbol', and literals\" section of the @singletons@
-    --   @<https://github.com/goldfirere/singletons/blob/master/README.md README>@
-    --   for more details.
-  , promotedClassName :: Name -> Name
-    -- ^ Given the name of the original, unrefined class, produces the name of
-    --   the promoted equivalent of the class.
-  , promotedValueName :: Name -> Maybe Uniq -> Name
-    -- ^ Given the name of the original, unrefined value, produces the name of
-    --   the promoted equivalent of the value. This is used for both top-level
-    --   and @let@-bound names, and the difference is encoded in the
-    --   @'Maybe' 'Uniq'@ argument. If promoting a top-level name, the argument
-    --   is 'Nothing'. If promoting a @let@-bound name, the argument is
-    --   @Just uniq@, where @uniq@ is a globally unique number that can be used
-    --   to distinguish the name from other local definitions of the same name
-    --   (e.g., if two functions both use @let x = ... in x@).
-  , singledDataTypeName :: Name -> Name
-    -- ^ Given the name of the original, unrefined data type, produces the name
-    --   of the corresponding singleton type.
-  , singledClassName :: Name -> Name
-    -- ^ Given the name of the original, unrefined class, produces the name of
-    --   the singled equivalent of the class.
-  , singledDataConName :: Name -> Name
-    -- ^ Given the name of the original, unrefined data constructor, produces
-    --   the name of the corresponding singleton data constructor.
-  , singledValueName :: Name -> Name
-    -- ^ Given the name of the original, unrefined value, produces the name of
-    --   the singled equivalent of the value.
-  , defunctionalizedName :: Name -> Int -> Name
-    -- ^ Given the original name and the number of parameters it is applied to
-    --   (the 'Int' argument), produces a type-level function name that can be
-    --   partially applied when given the same number of parameters.
-    --
-    --   Note that defunctionalization works over both term-level names
-    --   (producing symbols for the promoted name) and type-level names
-    --   (producing symbols directly for the name itself). As a result, this
-    --   callback is used for names in both the term and type namespaces.
-  }
-
--- | Sensible default 'Options'.
---
--- 'genQuotedDecs' defaults to 'True'.
--- That is, quoted declarations are generated alongside their promoted and
--- singled counterparts.
---
--- 'genSingKindInsts' defaults to 'True'.
--- That is, 'SingKind' instances are generated.
---
--- The default behaviors for 'promotedClassName', 'promotedValueNamePrefix',
--- 'singledDataTypeName', 'singledClassName', 'singledDataConName',
--- 'singledValueName', and 'defunctionalizedName' are described in the
--- \"On names\" section of the @singletons@
--- @<https://github.com/goldfirere/singletons/blob/master/README.md README>@.
-defaultOptions :: Options
-defaultOptions = Options
-  { genQuotedDecs             = True
-  , genSingKindInsts          = True
-  , promotedDataTypeOrConName = promoteDataTypeOrConName
-  , promotedClassName         = promoteClassName
-  , promotedValueName         = promoteValNameLhs
-  , singledDataTypeName       = singTyConName
-  , singledClassName          = singClassName
-  , singledDataConName        = singDataConName
-  , singledValueName          = singValName
-  , defunctionalizedName      = promoteTySym
-  }
-
--- | Given the name of the original, unrefined, top-level value, produces the
--- name of the promoted equivalent of the value.
-promotedTopLevelValueName :: Options -> Name -> Name
-promotedTopLevelValueName opts name = promotedValueName opts name Nothing
-
--- | Given the name of the original, unrefined, @let@-bound value and its
--- globally unique number, produces the name of the promoted equivalent of the
--- value.
-promotedLetBoundValueName :: Options -> Name -> Uniq -> Name
-promotedLetBoundValueName opts name = promotedValueName opts name . Just
-
--- | Given the original name of a function (term- or type-level), produces a
--- type-level function name that can be partially applied even without being
--- given any arguments (i.e., @0@ arguments).
-defunctionalizedName0 :: Options -> Name -> Name
-defunctionalizedName0 opts name = defunctionalizedName opts name 0
-
--- | Class that describes monads that contain 'Options'.
-class DsMonad m => OptionsMonad m where
-  getOptions :: m Options
-
-instance OptionsMonad Q where
-  getOptions = pure defaultOptions
-
-instance OptionsMonad m => OptionsMonad (DsM m) where
-  getOptions = lift getOptions
-
-instance (OptionsMonad q, Monoid m) => OptionsMonad (QWithAux m q) where
-  getOptions = lift getOptions
-
-instance OptionsMonad m => OptionsMonad (ReaderT r m) where
-  getOptions = lift getOptions
-
-instance OptionsMonad m => OptionsMonad (StateT s m) where
-  getOptions = lift getOptions
-
-instance (OptionsMonad m, Monoid w) => OptionsMonad (WriterT w m) where
-  getOptions = lift getOptions
-
-instance (OptionsMonad m, Monoid w) => OptionsMonad (RWST r w s m) where
-  getOptions = lift getOptions
-
--- | A convenient implementation of the 'OptionsMonad' class. Use by calling
--- 'withOptions'.
-newtype OptionsM m a = OptionsM (ReaderT Options m a)
-  deriving ( Functor, Applicative, Monad, MonadTrans
-           , Quote, Quasi, MonadFail, MonadIO, DsMonad )
-
--- | Turn any 'DsMonad' into an 'OptionsMonad'.
-instance DsMonad m => OptionsMonad (OptionsM m) where
-  getOptions = OptionsM ask
-
--- | Declare the 'Options' that a TH computation should use.
-withOptions :: Options -> OptionsM m a -> m a
-withOptions opts (OptionsM x) = runReaderT x opts
-
--- Used when a value name appears in a pattern context.
--- Works only for proper variables (lower-case names).
---
--- If the Maybe Uniq argument is Nothing, then the name is top-level (and
--- thus globally unique on its own).
--- If the Maybe Uniq argument is `Just uniq`, then the name is let-bound and
--- should use `uniq` to make the promoted name globally unique.
-promoteValNameLhs :: Name -> Maybe Uniq -> Name
-promoteValNameLhs n mb_let_uniq
-    -- We can't promote promote idenitifers beginning with underscores to
-    -- type names, so we work around the issue by prepending "US" at the
-    -- front of the name (#229).
-  | Just (us, rest) <- splitUnderscores (nameBase n)
-  = mkName $ alpha ++ "US" ++ us ++ rest
-
-  | otherwise
-  = mkName $ toUpcaseStr pres n
-  where
-    pres = maybe noPrefix (uniquePrefixes "Let" "<<<") mb_let_uniq
-    (alpha, _) = pres
-
--- generates type-level symbol for a given name. Int parameter represents
--- saturation: 0 - no parameters passed to the symbol, 1 - one parameter
--- passed to the symbol, and so on. Works on both promoted and unpromoted
--- names.
-promoteTySym :: Name -> Int -> Name
-promoteTySym name sat
-      -- We can't promote promote idenitifers beginning with underscores to
-      -- type names, so we work around the issue by prepending "US" at the
-      -- front of the name (#229).
-    | Just (us, rest) <- splitUnderscores (nameBase name)
-    = default_case (mkName $ "US" ++ us ++ rest)
-
-    | name == nilName
-    = mkName $ "NilSym" ++ (show sat)
-
-       -- Treat unboxed tuples like tuples.
-       -- See Note [Promoting and singling unboxed tuples].
-    | Just degree <- tupleNameDegree_maybe name <|>
-                     unboxedTupleNameDegree_maybe name
-    = mkName $ "Tuple" ++ show degree ++ "Sym" ++ show sat
-
-    | otherwise
-    = default_case name
-  where
-    default_case :: Name -> Name
-    default_case name' =
-      let capped = toUpcaseStr noPrefix name' in
-      if isHsLetter (head capped)
-      then mkName (capped ++ "Sym" ++ (show sat))
-      else mkName (capped ++ "@#@" -- See Note [Defunctionalization symbol suffixes]
-                          ++ (replicate (sat + 1) '$'))
-
-promoteClassName :: Name -> Name
-promoteClassName = prefixName "P" "#"
-
-promoteDataTypeOrConName :: Name -> Name
-promoteDataTypeOrConName nm
-  | nameBase nm == nameBase repName = typeKindName
-    -- See Note [Promoting and singling unboxed tuples]
-  | Just degree <- unboxedTupleNameDegree_maybe nm
-  = if isDataName nm then tupleDataName degree else tupleTypeName degree
-  | otherwise = nm
-  where
-    -- Is this name a data constructor name? A 'False' answer means "unsure".
-    isDataName :: Name -> Bool
-    isDataName (Name _ (NameG DataName _ _)) = True
-    isDataName _                             = False
-
--- Singletons
-
-singDataConName :: Name -> Name
-singDataConName nm
-  | nm == nilName                                  = mkName "SNil"
-  | nm == consName                                 = mkName "SCons"
-  | Just degree <- tupleNameDegree_maybe nm        = mkTupleName degree
-    -- See Note [Promoting and singling unboxed tuples]
-  | Just degree <- unboxedTupleNameDegree_maybe nm = mkTupleName degree
-  | otherwise                                      = prefixConName "S" "%" nm
-
-singTyConName :: Name -> Name
-singTyConName name
-  | name == listName                                 = mkName "SList"
-  | Just degree <- tupleNameDegree_maybe name        = mkTupleName degree
-    -- See Note [Promoting and singling unboxed tuples]
-  | Just degree <- unboxedTupleNameDegree_maybe name = mkTupleName degree
-  | otherwise                                        = prefixName "S" "%" name
-
-mkTupleName :: Int -> Name
-mkTupleName n = mkName $ "STuple" ++ show n
-
-singClassName :: Name -> Name
-singClassName = singTyConName
-
-singValName :: Name -> Name
-singValName n
-     -- Push the 's' past the underscores, as this lets us avoid some unused
-     -- variable warnings (#229).
-  | Just (us, rest) <- splitUnderscores (nameBase n)
-  = prefixName (us ++ "s") "%" $ mkName rest
-  | otherwise
-  = prefixName "s" "%" $ upcase n
-
-{-
-Note [Promoting and singling unboxed tuples]
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-Unfortunately, today's GHC is not quite up to the task of promoting types
-involving unboxed tuples. Consider this example:
-
-  swapperino :: (# a, b #) -> (# b, a #)
-
-What would this look like when promoted? Presumably, it would have a kind
-signature like this:
-
-  type Swapperino :: (# a, b #) -> (# b, a #)
-
-Surprisingly, this won't kindcheck:
-
-  error:
-      • Expecting a lifted type, but ‘(# a, b #)’ is unlifted
-      • In a standalone kind signature for ‘Swapperino’:
-          (# a, b #) -> (# b, a #)
-
-Even though (->) is levity polymorphic, this levity polymorphism only kicks in
-for types, not kinds. In other words, the (->) in the kind of Swapperino is
-completely levity monomorphic and only accepts Type-kinded arguments. This
-oddity is tracked upstream as GHC#14180. Until that is fixed, there is no hope
-of using promoted unboxed tuples freely in kinds.
-
-However, we don't have to give up quite yet. As a crude-but-effective
-workaround, we can simply promote value-level unboxed tuples to type-level boxed
-tuples. In other words, we would promote swapperino to this:
-
-  type Swapperino :: (a, b) -> (b, a)
-
-This trick is enough to make many (but not all) uses of unboxed tuples
-Just Work™ when promoted. We use a similar trick when singling unboxed tuples
-as well.
--}
+-----------------------------------------------------------------------------+-- |+-- Module      :  Data.Singletons.TH.Options+-- Copyright   :  (C) 2019 Ryan Scott+-- License     :  BSD-style (see LICENSE)+-- Maintainer  :  Ryan Scott+-- Stability   :  experimental+-- Portability :  non-portable+--+-- This module defines 'Options' that control finer details of how the Template+-- Haskell machinery works, as well as an @mtl@-like 'OptionsMonad' class+-- and an 'OptionsM' monad transformer.+--+----------------------------------------------------------------------------++module Data.Singletons.TH.Options+  ( -- * Options+    Options, defaultOptions+    -- ** Options record selectors+  , genQuotedDecs+  , genSingKindInsts+  , promotedDataTypeOrConName+  , promotedClassName+  , promotedValueName+  , singledDataTypeName+  , singledClassName+  , singledDataConName+  , singledValueName+  , defunctionalizedName+    -- ** Derived functions over Options+  , promotedTopLevelValueName+  , promotedLetBoundValueName+  , defunctionalizedName0++    -- * OptionsMonad+  , OptionsMonad(..), OptionsM, withOptions+  ) where++import Control.Applicative+import Control.Monad.IO.Class (MonadIO)+import Control.Monad.Reader (ReaderT(..), ask)+import Control.Monad.RWS (RWST)+import Control.Monad.State (StateT)+import Control.Monad.Trans.Class (MonadTrans(..))+import Control.Monad.Writer (WriterT)+import Data.Singletons.TH.Names+import Data.Singletons.TH.Util+import Language.Haskell.TH.Desugar+import Language.Haskell.TH.Instances () -- To obtain a Quote instance for ReaderT+import Language.Haskell.TH.Syntax hiding (Lift(..))++-- | Options that control the finer details of how @singletons-th@'s Template+-- Haskell machinery works.+data Options = Options+  { genQuotedDecs :: Bool+    -- ^ If 'True', then quoted declarations will be generated alongside their+    --   promoted and singled counterparts. If 'False', then quoted+    --   declarations will be discarded.+  , genSingKindInsts :: Bool+    -- ^ If 'True', then 'SingKind' instances will be generated. If 'False',+    --   they will be omitted entirely. This can be useful in scenarios where+    --   TH-generated 'SingKind' instances do not typecheck (for instance,+    --   when generating singletons for GADTs).+  , promotedDataTypeOrConName :: Name -> Name+    -- ^ Given the name of the original data type or data constructor, produces+    --   the name of the promoted equivalent. Unlike the singling-related+    --   options, in which there are separate 'singledDataTypeName' and+    --   'singledDataConName' functions, we combine the handling of promoted+    --   data types and data constructors into a single option. This is because+    --   the names of promoted data types and data constructors can be+    --   difficult to distinguish in certain contexts without expensive+    --   compile-time checks.+    --+    --   Because of the @DataKinds@ extension, most data type and data+    --   constructor names can be used in promoted contexts without any+    --   changes. As a result, this option will act like the identity function+    --   99% of the time. There are some situations where it can be useful to+    --   override this option, however, as it can be used to promote primitive+    --   data types that do not have proper type-level equivalents, such as+    --   'Natural' and 'Text'. See the+    --   \"Arrows, 'Nat', 'Symbol', and literals\" section of the @singletons@+    --   @<https://github.com/goldfirere/singletons/blob/master/README.md README>@+    --   for more details.+  , promotedClassName :: Name -> Name+    -- ^ Given the name of the original, unrefined class, produces the name of+    --   the promoted equivalent of the class.+  , promotedValueName :: Name -> Maybe Uniq -> Name+    -- ^ Given the name of the original, unrefined value, produces the name of+    --   the promoted equivalent of the value. This is used for both top-level+    --   and @let@-bound names, and the difference is encoded in the+    --   @'Maybe' 'Uniq'@ argument. If promoting a top-level name, the argument+    --   is 'Nothing'. If promoting a @let@-bound name, the argument is+    --   @Just uniq@, where @uniq@ is a globally unique number that can be used+    --   to distinguish the name from other local definitions of the same name+    --   (e.g., if two functions both use @let x = ... in x@).+  , singledDataTypeName :: Name -> Name+    -- ^ Given the name of the original, unrefined data type, produces the name+    --   of the corresponding singleton type.+  , singledClassName :: Name -> Name+    -- ^ Given the name of the original, unrefined class, produces the name of+    --   the singled equivalent of the class.+  , singledDataConName :: Name -> Name+    -- ^ Given the name of the original, unrefined data constructor, produces+    --   the name of the corresponding singleton data constructor.+  , singledValueName :: Name -> Name+    -- ^ Given the name of the original, unrefined value, produces the name of+    --   the singled equivalent of the value.+  , defunctionalizedName :: Name -> Int -> Name+    -- ^ Given the original name and the number of parameters it is applied to+    --   (the 'Int' argument), produces a type-level function name that can be+    --   partially applied when given the same number of parameters.+    --+    --   Note that defunctionalization works over both term-level names+    --   (producing symbols for the promoted name) and type-level names+    --   (producing symbols directly for the name itself). As a result, this+    --   callback is used for names in both the term and type namespaces.+  }++-- | Sensible default 'Options'.+--+-- 'genQuotedDecs' defaults to 'True'.+-- That is, quoted declarations are generated alongside their promoted and+-- singled counterparts.+--+-- 'genSingKindInsts' defaults to 'True'.+-- That is, 'SingKind' instances are generated.+--+-- The default behaviors for 'promotedClassName', 'promotedValueNamePrefix',+-- 'singledDataTypeName', 'singledClassName', 'singledDataConName',+-- 'singledValueName', and 'defunctionalizedName' are described in the+-- \"On names\" section of the @singletons@+-- @<https://github.com/goldfirere/singletons/blob/master/README.md README>@.+defaultOptions :: Options+defaultOptions = Options+  { genQuotedDecs             = True+  , genSingKindInsts          = True+  , promotedDataTypeOrConName = promoteDataTypeOrConName+  , promotedClassName         = promoteClassName+  , promotedValueName         = promoteValNameLhs+  , singledDataTypeName       = singTyConName+  , singledClassName          = singClassName+  , singledDataConName        = singDataConName+  , singledValueName          = singValName+  , defunctionalizedName      = promoteTySym+  }++-- | Given the name of the original, unrefined, top-level value, produces the+-- name of the promoted equivalent of the value.+promotedTopLevelValueName :: Options -> Name -> Name+promotedTopLevelValueName opts name = promotedValueName opts name Nothing++-- | Given the name of the original, unrefined, @let@-bound value and its+-- globally unique number, produces the name of the promoted equivalent of the+-- value.+promotedLetBoundValueName :: Options -> Name -> Uniq -> Name+promotedLetBoundValueName opts name = promotedValueName opts name . Just++-- | Given the original name of a function (term- or type-level), produces a+-- type-level function name that can be partially applied even without being+-- given any arguments (i.e., @0@ arguments).+defunctionalizedName0 :: Options -> Name -> Name+defunctionalizedName0 opts name = defunctionalizedName opts name 0++-- | Class that describes monads that contain 'Options'.+class DsMonad m => OptionsMonad m where+  getOptions :: m Options++instance OptionsMonad Q where+  getOptions = pure defaultOptions++instance OptionsMonad m => OptionsMonad (DsM m) where+  getOptions = lift getOptions++instance (OptionsMonad q, Monoid m) => OptionsMonad (QWithAux m q) where+  getOptions = lift getOptions++instance OptionsMonad m => OptionsMonad (ReaderT r m) where+  getOptions = lift getOptions++instance OptionsMonad m => OptionsMonad (StateT s m) where+  getOptions = lift getOptions++instance (OptionsMonad m, Monoid w) => OptionsMonad (WriterT w m) where+  getOptions = lift getOptions++instance (OptionsMonad m, Monoid w) => OptionsMonad (RWST r w s m) where+  getOptions = lift getOptions++-- | A convenient implementation of the 'OptionsMonad' class. Use by calling+-- 'withOptions'.+newtype OptionsM m a = OptionsM (ReaderT Options m a)+  deriving ( Functor, Applicative, Monad, MonadTrans+           , Quote, Quasi, MonadFail, MonadIO, DsMonad )++-- | Turn any 'DsMonad' into an 'OptionsMonad'.+instance DsMonad m => OptionsMonad (OptionsM m) where+  getOptions = OptionsM ask++-- | Declare the 'Options' that a TH computation should use.+withOptions :: Options -> OptionsM m a -> m a+withOptions opts (OptionsM x) = runReaderT x opts++-- Used when a value name appears in a pattern context.+-- Works only for proper variables (lower-case names).+--+-- If the Maybe Uniq argument is Nothing, then the name is top-level (and+-- thus globally unique on its own).+-- If the Maybe Uniq argument is `Just uniq`, then the name is let-bound and+-- should use `uniq` to make the promoted name globally unique.+promoteValNameLhs :: Name -> Maybe Uniq -> Name+promoteValNameLhs n mb_let_uniq+    -- We can't promote promote idenitifers beginning with underscores to+    -- type names, so we work around the issue by prepending "US" at the+    -- front of the name (#229).+  | Just (us, rest) <- splitUnderscores (nameBase n)+  = mkName $ alpha ++ "US" ++ us ++ rest++  | otherwise+  = mkName $ toUpcaseStr pres n+  where+    pres = maybe noPrefix (uniquePrefixes "Let" "<<<") mb_let_uniq+    (alpha, _) = pres++-- generates type-level symbol for a given name. Int parameter represents+-- saturation: 0 - no parameters passed to the symbol, 1 - one parameter+-- passed to the symbol, and so on. Works on both promoted and unpromoted+-- names.+promoteTySym :: Name -> Int -> Name+promoteTySym name sat+      -- We can't promote promote idenitifers beginning with underscores to+      -- type names, so we work around the issue by prepending "US" at the+      -- front of the name (#229).+    | Just (us, rest) <- splitUnderscores (nameBase name)+    = default_case (mkName $ "US" ++ us ++ rest)++    | name == nilName+    = mkName $ "NilSym" ++ (show sat)++       -- Treat unboxed tuples like tuples.+       -- See Note [Promoting and singling unboxed tuples].+    | Just degree <- tupleNameDegree_maybe name <|>+                     unboxedTupleNameDegree_maybe name+    = mkName $ "Tuple" ++ show degree ++ "Sym" ++ show sat++    | otherwise+    = default_case name+  where+    default_case :: Name -> Name+    default_case name' =+      let capped = toUpcaseStr noPrefix name' in+      if isHsLetter (headNameStr capped)+      then mkName (capped ++ "Sym" ++ (show sat))+      else mkName (capped ++ "@#@" -- See Note [Defunctionalization symbol suffixes]+                          ++ (replicate (sat + 1) '$'))++promoteClassName :: Name -> Name+promoteClassName = prefixName "P" "#"++promoteDataTypeOrConName :: Name -> Name+promoteDataTypeOrConName nm+  | nameBase nm == nameBase repName = typeKindName+    -- See Note [Promoting and singling unboxed tuples]+  | Just degree <- unboxedTupleNameDegree_maybe nm+  = if isDataName nm then tupleDataName degree else tupleTypeName degree+  | otherwise = nm+  where+    -- Is this name a data constructor name? A 'False' answer means "unsure".+    isDataName :: Name -> Bool+    isDataName (Name _ (NameG DataName _ _)) = True+    isDataName _                             = False++-- Singletons++singDataConName :: Name -> Name+singDataConName nm+  | nm == nilName                                  = mkName "SNil"+  | nm == consName                                 = mkName "SCons"+  | Just degree <- tupleNameDegree_maybe nm        = mkTupleName degree+    -- See Note [Promoting and singling unboxed tuples]+  | Just degree <- unboxedTupleNameDegree_maybe nm = mkTupleName degree+  | otherwise                                      = prefixConName "S" "%" nm++singTyConName :: Name -> Name+singTyConName name+  | name == listName                                 = mkName "SList"+  | Just degree <- tupleNameDegree_maybe name        = mkTupleName degree+    -- See Note [Promoting and singling unboxed tuples]+  | Just degree <- unboxedTupleNameDegree_maybe name = mkTupleName degree+  | otherwise                                        = prefixName "S" "%" name++mkTupleName :: Int -> Name+mkTupleName n = mkName $ "STuple" ++ show n++singClassName :: Name -> Name+singClassName = singTyConName++singValName :: Name -> Name+singValName n+     -- Push the 's' past the underscores, as this lets us avoid some unused+     -- variable warnings (#229).+  | Just (us, rest) <- splitUnderscores (nameBase n)+  = prefixName (us ++ "s") "%" $ mkName rest+  | otherwise+  = prefixName "s" "%" $ upcase n++{-+Note [Promoting and singling unboxed tuples]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+Unfortunately, today's GHC is not quite up to the task of promoting types+involving unboxed tuples. Consider this example:++  swapperino :: (# a, b #) -> (# b, a #)++What would this look like when promoted? Presumably, it would have a kind+signature like this:++  type Swapperino :: (# a, b #) -> (# b, a #)++Surprisingly, this won't kindcheck:++  error:+      • Expecting a lifted type, but ‘(# a, b #)’ is unlifted+      • In a standalone kind signature for ‘Swapperino’:+          (# a, b #) -> (# b, a #)++Even though (->) is levity polymorphic, this levity polymorphism only kicks in+for types, not kinds. In other words, the (->) in the kind of Swapperino is+completely levity monomorphic and only accepts Type-kinded arguments. This+oddity is tracked upstream as GHC#14180. Until that is fixed, there is no hope+of using promoted unboxed tuples freely in kinds.++However, we don't have to give up quite yet. As a crude-but-effective+workaround, we can simply promote value-level unboxed tuples to type-level boxed+tuples. In other words, we would promote swapperino to this:++  type Swapperino :: (a, b) -> (b, a)++This trick is enough to make many (but not all) uses of unboxed tuples+Just Work™ when promoted. We use a similar trick when singling unboxed tuples+as well.+-}
src/Data/Singletons/TH/Partition.hs view
@@ -1,326 +1,333 @@------------------------------------------------------------------------------
--- |
--- Module      :  Data.Singletons.TH.Partition
--- Copyright   :  (C) 2015 Richard Eisenberg
--- License     :  BSD-style (see LICENSE)
--- Maintainer  :  Ryan Scott
--- Stability   :  experimental
--- Portability :  non-portable
---
--- Partitions a list of declarations into its bits
---
-----------------------------------------------------------------------------
-
-module Data.Singletons.TH.Partition where
-
-import Prelude hiding ( exp )
-import Data.Singletons.TH.Deriving.Bounded
-import Data.Singletons.TH.Deriving.Enum
-import Data.Singletons.TH.Deriving.Eq
-import Data.Singletons.TH.Deriving.Foldable
-import Data.Singletons.TH.Deriving.Functor
-import Data.Singletons.TH.Deriving.Ord
-import Data.Singletons.TH.Deriving.Show
-import Data.Singletons.TH.Deriving.Traversable
-import Data.Singletons.TH.Deriving.Util
-import Data.Singletons.TH.Names
-import Data.Singletons.TH.Options
-import Data.Singletons.TH.Syntax
-import Data.Singletons.TH.Util
-import Language.Haskell.TH.Syntax hiding (showName)
-import Language.Haskell.TH.Ppr
-import Language.Haskell.TH.Desugar
-import qualified Language.Haskell.TH.Desugar.OMap.Strict as OMap
-import Language.Haskell.TH.Desugar.OMap.Strict (OMap)
-
-import Control.Monad
-import Data.Bifunctor (bimap)
-import qualified Data.Map as Map
-import Data.Map (Map)
-import Data.Maybe
-
-data PartitionedDecs =
-  PDecs { pd_let_decs :: [DLetDec]
-        , pd_class_decs :: [UClassDecl]
-        , pd_instance_decs :: [UInstDecl]
-        , pd_data_decs :: [DataDecl]
-        , pd_ty_syn_decs :: [TySynDecl]
-        , pd_open_type_family_decs :: [OpenTypeFamilyDecl]
-        , pd_closed_type_family_decs :: [ClosedTypeFamilyDecl]
-        , pd_derived_eq_decs :: [DerivedEqDecl]
-        , pd_derived_show_decs :: [DerivedShowDecl]
-        }
-
-instance Semigroup PartitionedDecs where
-  PDecs a1 b1 c1 d1 e1 f1 g1 h1 i1 <> PDecs a2 b2 c2 d2 e2 f2 g2 h2 i2 =
-    PDecs (a1 <> a2) (b1 <> b2) (c1 <> c2) (d1 <> d2) (e1 <> e2)
-          (f1 <> f2) (g1 <> g2) (h1 <> h2) (i1 <> i2)
-
-instance Monoid PartitionedDecs where
-  mempty = PDecs mempty mempty mempty mempty mempty
-                 mempty mempty mempty mempty
-
--- | Split up a @[DDec]@ into its pieces, extracting 'Ord' instances
--- from deriving clauses
-partitionDecs :: OptionsMonad m => [DDec] -> m PartitionedDecs
-partitionDecs = concatMapM partitionDec
-
-partitionDec :: OptionsMonad m => DDec -> m PartitionedDecs
-partitionDec (DLetDec (DPragmaD {})) = return mempty
-partitionDec (DLetDec letdec) = return $ mempty { pd_let_decs = [letdec] }
-
-partitionDec (DDataD df _cxt name tvbs mk cons derivings) = do
-  all_tvbs <- buildDataDTvbs tvbs mk
-  let data_decl   = DataDecl df name all_tvbs cons
-      derived_dec = mempty { pd_data_decs = [data_decl] }
-  derived_decs
-    <- mapM (\(strat, deriv_pred) ->
-              let etad_tvbs
-                    | (DConT pred_name, _) <- unfoldDType deriv_pred
-                    , isFunctorLikeClassName pred_name
-                      -- If deriving Functor, Foldable, or Traversable,
-                      -- we need to use one less type variable than we normally do.
-                    = take (length all_tvbs - 1) all_tvbs
-                    | otherwise
-                    = all_tvbs
-                  ty = foldTypeTvbs (DConT name) etad_tvbs
-              in partitionDeriving strat deriv_pred Nothing ty data_decl)
-      $ concatMap flatten_clause derivings
-  return $ mconcat $ derived_dec : derived_decs
-  where
-    flatten_clause :: DDerivClause -> [(Maybe DDerivStrategy, DPred)]
-    flatten_clause (DDerivClause strat preds) =
-      map (\p -> (strat, p)) preds
-
-partitionDec (DClassD cxt name tvbs fds decs) = do
-  (lde, otfs) <- concatMapM partitionClassDec decs
-  return $ mempty { pd_class_decs = [ClassDecl { cd_cxt       = cxt
-                                               , cd_name      = name
-                                               , cd_tvbs      = tvbs
-                                               , cd_fds       = fds
-                                               , cd_lde       = lde
-                                               , cd_atfs      = otfs}] }
-partitionDec (DInstanceD _ _ cxt ty decs) = do
-  (defns, sigs) <- liftM (bimap catMaybes mconcat) $
-                   mapAndUnzipM partitionInstanceDec decs
-  (name, tys) <- split_app_tys [] ty
-  return $ mempty { pd_instance_decs = [InstDecl { id_cxt       = cxt
-                                                 , id_name      = name
-                                                 , id_arg_tys   = tys
-                                                 , id_sigs      = sigs
-                                                 , id_meths     = defns }] }
-  where
-    split_app_tys acc (DAppT t1 t2) = split_app_tys (t2:acc) t1
-    split_app_tys acc (DConT name)  = return (name, acc)
-    split_app_tys acc (DSigT t _)   = split_app_tys acc t
-    split_app_tys _ _ = fail $ "Illegal instance head: " ++ show ty
-partitionDec (DRoleAnnotD {}) = return mempty  -- ignore these
-partitionDec (DTySynD name tvbs rhs) =
-  -- See Note [Partitioning, type synonyms, and type families]
-  pure $ mempty { pd_ty_syn_decs = [TySynDecl name tvbs rhs] }
-partitionDec (DClosedTypeFamilyD tf_head _) =
-  -- See Note [Partitioning, type synonyms, and type families]
-  pure $ mempty { pd_closed_type_family_decs = [TypeFamilyDecl tf_head] }
-partitionDec (DOpenTypeFamilyD tf_head) =
-  -- See Note [Partitioning, type synonyms, and type families]
-  pure $ mempty { pd_open_type_family_decs = [TypeFamilyDecl tf_head] }
-partitionDec (DTySynInstD {}) = pure mempty
-  -- There's no need to track type family instances, since
-  -- we already record the type family itself separately.
-partitionDec (DKiSigD {}) = pure mempty
-  -- There's no need to track standalone kind signatures, since we use
-  -- dsReifyType to look them up.
-partitionDec (DStandaloneDerivD mb_strat _ ctxt ty) =
-  case unfoldDType ty of
-    (cls_pred_ty, cls_tys)
-      | let cls_normal_tys = filterDTANormals cls_tys
-      , not (null cls_normal_tys) -- We can't handle zero-parameter type classes
-      , let cls_arg_tys  = init cls_normal_tys
-            data_ty      = last cls_normal_tys
-            data_ty_head = case unfoldDType data_ty of (ty_head, _) -> ty_head
-      , DConT data_tycon <- data_ty_head -- We can't handle deriving an instance for something
-                                         -- other than a type constructor application
-      -> do let cls_pred = foldType cls_pred_ty cls_arg_tys
-            dinfo <- dsReify data_tycon
-            case dinfo of
-              Just (DTyConI (DDataD df _ dn dtvbs dk dcons _) _) -> do
-                all_tvbs <- buildDataDTvbs dtvbs dk
-                let data_decl = DataDecl df dn all_tvbs dcons
-                partitionDeriving mb_strat cls_pred (Just ctxt) data_ty data_decl
-              Just _ ->
-                fail $ "Standalone derived instance for something other than a datatype: "
-                       ++ show data_ty
-              _ -> fail $ "Cannot find " ++ show data_ty
-    _ -> return mempty
-partitionDec dec =
-  fail $ "Declaration cannot be promoted: " ++ pprint (decToTH dec)
-
-partitionClassDec :: MonadFail m => DDec -> m (ULetDecEnv, [OpenTypeFamilyDecl])
-partitionClassDec (DLetDec (DSigD name ty)) =
-  pure (typeBinding name ty, mempty)
-partitionClassDec (DLetDec (DValD (DVarP name) exp)) =
-  pure (valueBinding name (UValue exp), mempty)
-partitionClassDec (DLetDec (DFunD name clauses)) =
-  pure (valueBinding name (UFunction clauses), mempty)
-partitionClassDec (DLetDec (DInfixD fixity name)) =
-  pure (infixDecl fixity name, mempty)
-partitionClassDec (DLetDec (DPragmaD {})) =
-  pure (mempty, mempty)
-partitionClassDec (DOpenTypeFamilyD tf_head) =
-  -- See Note [Partitioning, type synonyms, and type families]
-  pure (mempty, [TypeFamilyDecl tf_head])
-partitionClassDec (DTySynInstD {}) =
-  -- There's no need to track associated type family default equations, since
-  -- we already record the type family itself separately.
-  pure (mempty, mempty)
-partitionClassDec _ =
-  fail "Only method declarations can be promoted within a class."
-
-partitionInstanceDec :: MonadFail m => DDec
-                     -> m ( Maybe (Name, ULetDecRHS) -- right-hand sides of methods
-                          , OMap Name DType          -- method type signatures
-                          )
-partitionInstanceDec (DLetDec (DValD (DVarP name) exp)) =
-  pure (Just (name, UValue exp), mempty)
-partitionInstanceDec (DLetDec (DFunD name clauses)) =
-  pure (Just (name, UFunction clauses), mempty)
-partitionInstanceDec (DLetDec (DSigD name ty)) =
-  pure (Nothing, OMap.singleton name ty)
-partitionInstanceDec (DLetDec (DPragmaD {})) =
-  pure (Nothing, mempty)
-partitionInstanceDec (DTySynInstD {}) =
-  pure (Nothing, mempty)
-  -- There's no need to track associated type family instances, since
-  -- we already record the type family itself separately.
-partitionInstanceDec _ =
-  fail "Only method bodies can be promoted within an instance."
-
-partitionDeriving
-  :: forall m. OptionsMonad m
-  => Maybe DDerivStrategy
-                -- ^ The deriving strategy, if present.
-  -> DPred      -- ^ The class being derived (e.g., 'Eq'), possibly applied to
-                --   some number of arguments (e.g., @C Int Bool@).
-  -> Maybe DCxt -- ^ @'Just' ctx@ if @ctx@ was provided via @StandaloneDeriving@.
-                --   'Nothing' if using a @deriving@ clause.
-  -> DType      -- ^ The data type argument to the class.
-  -> DataDecl   -- ^ The original data type information (e.g., its constructors).
-  -> m PartitionedDecs
-partitionDeriving mb_strat deriv_pred mb_ctxt ty data_decl =
-  case unfoldDType deriv_pred of
-    (DConT deriv_name, arg_tys)
-         -- Here, we are more conservative than GHC: DeriveAnyClass only kicks
-         -- in if the user explicitly chooses to do so with the anyclass
-         -- deriving strategy
-       | Just DAnyclassStrategy <- mb_strat
-      -> return $ mk_derived_inst
-           InstDecl { id_cxt = fromMaybe [] mb_ctxt
-                      -- For now at least, there's no point in attempting to
-                      -- infer an instance context for DeriveAnyClass, since
-                      -- the other language feature that requires it,
-                      -- DefaultSignatures, can't be singled. Thus, inferring an
-                      -- empty context will Just Work for all currently supported
-                      -- default implementations.
-                      --
-                      -- (Of course, if a user specifies a context with
-                      -- StandaloneDeriving, use that.)
-
-                    , id_name      = deriv_name
-                    , id_arg_tys   = filterDTANormals arg_tys ++ [ty]
-                    , id_sigs      = mempty
-                    , id_meths     = [] }
-
-       | Just DNewtypeStrategy <- mb_strat
-      -> do qReportWarning "GeneralizedNewtypeDeriving is ignored by `singletons-th`."
-            return mempty
-
-       | Just (DViaStrategy {}) <- mb_strat
-      -> do qReportWarning "DerivingVia is ignored by `singletons-th`."
-            return mempty
-
-    -- Stock classes. These are derived only if `singletons-th` supports them
-    -- (and, optionally, if an explicit stock deriving strategy is used)
-    (DConT deriv_name, []) -- For now, all stock derivable class supported in
-                           -- singletons-th take just one argument (the data
-                           -- type itself)
-       | stock_or_default
-       , Just decs <- Map.lookup deriv_name stock_map
-      -> decs
-
-         -- If we can't find a stock class, but the user bothered to use an
-         -- explicit stock keyword, we can at least warn them about it.
-       | Just DStockStrategy <- mb_strat
-      -> do qReportWarning $ "`singletons-th` doesn't recognize the stock class "
-                             ++ nameBase deriv_name
-            return mempty
-
-    _ -> return mempty -- singletons-th doesn't support deriving this instance
-  where
-      mk_instance :: DerivDesc m -> m UInstDecl
-      mk_instance maker = maker mb_ctxt ty data_decl
-
-      mk_derived_inst    dec = mempty { pd_instance_decs   = [dec] }
-
-      derived_decl :: DerivedDecl cls
-      derived_decl = DerivedDecl { ded_mb_cxt     = mb_ctxt
-                                 , ded_type       = ty
-                                 , ded_type_tycon = ty_tycon
-                                 , ded_decl       = data_decl }
-        where
-          ty_tycon :: Name
-          ty_tycon = case unfoldDType ty of
-                       (DConT tc, _) -> tc
-                       (t,        _) -> error $ "Not a data type: " ++ show t
-      stock_or_default = isStockOrDefault mb_strat
-
-      -- A mapping from all stock derivable classes (that singletons-th supports)
-      -- to to derived code that they produce.
-      stock_map :: Map Name (m PartitionedDecs)
-      stock_map = Map.fromList
-        [ ( ordName,         mk_derived_inst <$> mk_instance mkOrdInstance )
-        , ( boundedName,     mk_derived_inst <$> mk_instance mkBoundedInstance )
-        , ( enumName,        mk_derived_inst <$> mk_instance mkEnumInstance )
-        , ( functorName,     mk_derived_inst <$> mk_instance mkFunctorInstance )
-        , ( foldableName,    mk_derived_inst <$> mk_instance mkFoldableInstance )
-        , ( traversableName, mk_derived_inst <$> mk_instance mkTraversableInstance )
-
-          -- See Note [DerivedDecl] in Data.Singletons.TH.Syntax
-        , ( eqName,   do -- These will become PEq/SEq instances...
-                         inst_for_promotion <- mk_instance mkEqInstance
-                         -- ...and these will become SDecide/TestEquality/TestCoercion instances.
-                         let inst_for_decide = derived_decl
-                         return $ mempty { pd_instance_decs   = [inst_for_promotion]
-                                         , pd_derived_eq_decs = [inst_for_decide] } )
-        , ( showName, do -- These will become PShow/SShow instances...
-                         inst_for_promotion <- mk_instance mkShowInstance
-                         -- ...and this will become a Show instance.
-                         let inst_for_show = derived_decl
-                         pure $ mempty { pd_instance_decs     = [inst_for_promotion]
-                                       , pd_derived_show_decs = [inst_for_show] } )
-        ]
-
--- Is this being used with an explicit stock strategy, or no strategy at all?
-isStockOrDefault :: Maybe DDerivStrategy -> Bool
-isStockOrDefault Nothing               = True
-isStockOrDefault (Just DStockStrategy) = True
-isStockOrDefault (Just _)              = False
-
-{-
-Note [Partitioning, type synonyms, and type families]
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-The process of singling does not produce any new declarations corresponding to
-type synonyms or type families, so they are "ignored" in a sense. Nevertheless,
-we explicitly track them during partitioning, since we want to create
-defunctionalization symbols for them.
-
-Also note that:
-
-1. Other uses of type synonyms in singled code will be expanded away.
-2. Other uses of type families in singled code are unlikely to work at present
-   due to Trac #12564.
-3. We track open type families, closed type families, and associated type
-   families separately, as each form of type family has different kind
-   inference behavior. See defunTopLevelTypeDecls and
-   defunAssociatedTypeFamilies in D.S.TH.Promote.Defun for how these differences
-   manifest.
--}
+-----------------------------------------------------------------------------+-- |+-- Module      :  Data.Singletons.TH.Partition+-- Copyright   :  (C) 2015 Richard Eisenberg+-- License     :  BSD-style (see LICENSE)+-- Maintainer  :  Ryan Scott+-- Stability   :  experimental+-- Portability :  non-portable+--+-- Partitions a list of declarations into its bits+--+----------------------------------------------------------------------------++module Data.Singletons.TH.Partition where++import Prelude hiding ( exp )+import Data.Singletons.TH.Deriving.Bounded+import Data.Singletons.TH.Deriving.Enum+import Data.Singletons.TH.Deriving.Eq+import Data.Singletons.TH.Deriving.Foldable+import Data.Singletons.TH.Deriving.Functor+import Data.Singletons.TH.Deriving.Ord+import Data.Singletons.TH.Deriving.Show+import Data.Singletons.TH.Deriving.Traversable+import Data.Singletons.TH.Deriving.Util+import Data.Singletons.TH.Names+import Data.Singletons.TH.Options+import Data.Singletons.TH.Syntax+import Data.Singletons.TH.Util+import Language.Haskell.TH.Syntax hiding (showName)+import Language.Haskell.TH.Ppr+import Language.Haskell.TH.Desugar+import qualified Language.Haskell.TH.Desugar.OMap.Strict as OMap+import Language.Haskell.TH.Desugar.OMap.Strict (OMap)++import Control.Monad+import Data.Bifunctor (bimap)+import qualified Data.Map as Map+import Data.Map (Map)+import Data.Maybe++data PartitionedDecs =+  PDecs { pd_let_decs :: [DLetDec]+        , pd_class_decs :: [UClassDecl]+        , pd_instance_decs :: [UInstDecl]+        , pd_data_decs :: [DataDecl]+        , pd_ty_syn_decs :: [TySynDecl]+        , pd_open_type_family_decs :: [OpenTypeFamilyDecl]+        , pd_closed_type_family_decs :: [ClosedTypeFamilyDecl]+        , pd_derived_eq_decs :: [DerivedEqDecl]+        , pd_derived_ord_decs :: [DerivedOrdDecl]+        , pd_derived_show_decs :: [DerivedShowDecl]+        }++instance Semigroup PartitionedDecs where+  PDecs a1 b1 c1 d1 e1 f1 g1 h1 i1 j1 <> PDecs a2 b2 c2 d2 e2 f2 g2 h2 i2 j2 =+    PDecs (a1 <> a2) (b1 <> b2) (c1 <> c2) (d1 <> d2) (e1 <> e2)+          (f1 <> f2) (g1 <> g2) (h1 <> h2) (i1 <> i2) (j1 <> j2)++instance Monoid PartitionedDecs where+  mempty = PDecs mempty mempty mempty mempty mempty+                 mempty mempty mempty mempty mempty++-- | Split up a @[DDec]@ into its pieces, extracting 'Ord' instances+-- from deriving clauses+partitionDecs :: OptionsMonad m => [DDec] -> m PartitionedDecs+partitionDecs = concatMapM partitionDec++partitionDec :: OptionsMonad m => DDec -> m PartitionedDecs+partitionDec (DLetDec (DPragmaD {})) = return mempty+partitionDec (DLetDec letdec) = return $ mempty { pd_let_decs = [letdec] }++partitionDec (DDataD df _cxt name tvbs mk cons derivings) = do+  all_tvbs <- buildDataDTvbs tvbs mk+  let data_decl   = DataDecl df name all_tvbs cons+      derived_dec = mempty { pd_data_decs = [data_decl] }+  derived_decs+    <- mapM (\(strat, deriv_pred) ->+              let etad_tvbs+                    | (DConT pred_name, _) <- unfoldDType deriv_pred+                    , isFunctorLikeClassName pred_name+                      -- If deriving Functor, Foldable, or Traversable,+                      -- we need to use one less type variable than we normally do.+                    = take (length all_tvbs - 1) all_tvbs+                    | otherwise+                    = all_tvbs+                  ty = foldTypeTvbs (DConT name) etad_tvbs+              in partitionDeriving strat deriv_pred Nothing ty data_decl)+      $ concatMap flatten_clause derivings+  return $ mconcat $ derived_dec : derived_decs+  where+    flatten_clause :: DDerivClause -> [(Maybe DDerivStrategy, DPred)]+    flatten_clause (DDerivClause strat preds) =+      map (\p -> (strat, p)) preds++partitionDec (DClassD cxt name tvbs fds decs) = do+  (lde, otfs) <- concatMapM partitionClassDec decs+  return $ mempty { pd_class_decs = [ClassDecl { cd_cxt       = cxt+                                               , cd_name      = name+                                               , cd_tvbs      = tvbs+                                               , cd_fds       = fds+                                               , cd_lde       = lde+                                               , cd_atfs      = otfs}] }+partitionDec (DInstanceD _ _ cxt ty decs) = do+  (defns, sigs) <- liftM (bimap catMaybes mconcat) $+                   mapAndUnzipM partitionInstanceDec decs+  (name, tys) <- split_app_tys [] ty+  return $ mempty { pd_instance_decs = [InstDecl { id_cxt       = cxt+                                                 , id_name      = name+                                                 , id_arg_tys   = tys+                                                 , id_sigs      = sigs+                                                 , id_meths     = defns }] }+  where+    split_app_tys acc (DAppT t1 t2) = split_app_tys (t2:acc) t1+    split_app_tys acc (DConT name)  = return (name, acc)+    split_app_tys acc (DSigT t _)   = split_app_tys acc t+    split_app_tys _ _ = fail $ "Illegal instance head: " ++ show ty+partitionDec (DRoleAnnotD {}) = return mempty  -- ignore these+partitionDec (DTySynD name tvbs rhs) =+  -- See Note [Partitioning, type synonyms, and type families]+  pure $ mempty { pd_ty_syn_decs = [TySynDecl name tvbs rhs] }+partitionDec (DClosedTypeFamilyD tf_head _) =+  -- See Note [Partitioning, type synonyms, and type families]+  pure $ mempty { pd_closed_type_family_decs = [TypeFamilyDecl tf_head] }+partitionDec (DOpenTypeFamilyD tf_head) =+  -- See Note [Partitioning, type synonyms, and type families]+  pure $ mempty { pd_open_type_family_decs = [TypeFamilyDecl tf_head] }+partitionDec (DTySynInstD {}) = pure mempty+  -- There's no need to track type family instances, since+  -- we already record the type family itself separately.+partitionDec (DKiSigD {}) = pure mempty+  -- There's no need to track standalone kind signatures, since we use+  -- dsReifyType to look them up.+partitionDec (DStandaloneDerivD mb_strat _ ctxt ty) =+  case unfoldDType ty of+    (cls_pred_ty, cls_tys)+      | let cls_normal_tys = filterDTANormals cls_tys+      , not (null cls_normal_tys) -- We can't handle zero-parameter type classes+      , let cls_arg_tys  = init cls_normal_tys+            data_ty      = last cls_normal_tys+            data_ty_head = case unfoldDType data_ty of (ty_head, _) -> ty_head+      , DConT data_tycon <- data_ty_head -- We can't handle deriving an instance for something+                                         -- other than a type constructor application+      -> do let cls_pred = foldType cls_pred_ty cls_arg_tys+            dinfo <- dsReify data_tycon+            case dinfo of+              Just (DTyConI (DDataD df _ dn dtvbs dk dcons _) _) -> do+                all_tvbs <- buildDataDTvbs dtvbs dk+                let data_decl = DataDecl df dn all_tvbs dcons+                partitionDeriving mb_strat cls_pred (Just ctxt) data_ty data_decl+              Just _ ->+                fail $ "Standalone derived instance for something other than a datatype: "+                       ++ show data_ty+              _ -> fail $ "Cannot find " ++ show data_ty+    _ -> return mempty+partitionDec dec =+  fail $ "Declaration cannot be promoted: " ++ pprint (decToTH dec)++partitionClassDec :: MonadFail m => DDec -> m (ULetDecEnv, [OpenTypeFamilyDecl])+partitionClassDec (DLetDec (DSigD name ty)) =+  pure (typeBinding name ty, mempty)+partitionClassDec (DLetDec (DValD (DVarP name) exp)) =+  pure (valueBinding name (UValue exp), mempty)+partitionClassDec (DLetDec (DFunD name clauses)) =+  pure (valueBinding name (UFunction clauses), mempty)+partitionClassDec (DLetDec (DInfixD fixity name)) =+  pure (infixDecl fixity name, mempty)+partitionClassDec (DLetDec (DPragmaD {})) =+  pure (mempty, mempty)+partitionClassDec (DOpenTypeFamilyD tf_head) =+  -- See Note [Partitioning, type synonyms, and type families]+  pure (mempty, [TypeFamilyDecl tf_head])+partitionClassDec (DTySynInstD {}) =+  -- There's no need to track associated type family default equations, since+  -- we already record the type family itself separately.+  pure (mempty, mempty)+partitionClassDec _ =+  fail "Only method declarations can be promoted within a class."++partitionInstanceDec :: MonadFail m => DDec+                     -> m ( Maybe (Name, ULetDecRHS) -- right-hand sides of methods+                          , OMap Name DType          -- method type signatures+                          )+partitionInstanceDec (DLetDec (DValD (DVarP name) exp)) =+  pure (Just (name, UValue exp), mempty)+partitionInstanceDec (DLetDec (DFunD name clauses)) =+  pure (Just (name, UFunction clauses), mempty)+partitionInstanceDec (DLetDec (DSigD name ty)) =+  pure (Nothing, OMap.singleton name ty)+partitionInstanceDec (DLetDec (DPragmaD {})) =+  pure (Nothing, mempty)+partitionInstanceDec (DTySynInstD {}) =+  pure (Nothing, mempty)+  -- There's no need to track associated type family instances, since+  -- we already record the type family itself separately.+partitionInstanceDec _ =+  fail "Only method bodies can be promoted within an instance."++partitionDeriving+  :: forall m. OptionsMonad m+  => Maybe DDerivStrategy+                -- ^ The deriving strategy, if present.+  -> DPred      -- ^ The class being derived (e.g., 'Eq'), possibly applied to+                --   some number of arguments (e.g., @C Int Bool@).+  -> Maybe DCxt -- ^ @'Just' ctx@ if @ctx@ was provided via @StandaloneDeriving@.+                --   'Nothing' if using a @deriving@ clause.+  -> DType      -- ^ The data type argument to the class.+  -> DataDecl   -- ^ The original data type information (e.g., its constructors).+  -> m PartitionedDecs+partitionDeriving mb_strat deriv_pred mb_ctxt ty data_decl =+  case unfoldDType deriv_pred of+    (DConT deriv_name, arg_tys)+         -- Here, we are more conservative than GHC: DeriveAnyClass only kicks+         -- in if the user explicitly chooses to do so with the anyclass+         -- deriving strategy+       | Just DAnyclassStrategy <- mb_strat+      -> return $ mk_derived_inst+           InstDecl { id_cxt = fromMaybe [] mb_ctxt+                      -- For now at least, there's no point in attempting to+                      -- infer an instance context for DeriveAnyClass, since+                      -- the other language feature that requires it,+                      -- DefaultSignatures, can't be singled. Thus, inferring an+                      -- empty context will Just Work for all currently supported+                      -- default implementations.+                      --+                      -- (Of course, if a user specifies a context with+                      -- StandaloneDeriving, use that.)++                    , id_name      = deriv_name+                    , id_arg_tys   = filterDTANormals arg_tys ++ [ty]+                    , id_sigs      = mempty+                    , id_meths     = [] }++       | Just DNewtypeStrategy <- mb_strat+      -> do qReportWarning "GeneralizedNewtypeDeriving is ignored by `singletons-th`."+            return mempty++       | Just (DViaStrategy {}) <- mb_strat+      -> do qReportWarning "DerivingVia is ignored by `singletons-th`."+            return mempty++    -- Stock classes. These are derived only if `singletons-th` supports them+    -- (and, optionally, if an explicit stock deriving strategy is used)+    (DConT deriv_name, []) -- For now, all stock derivable class supported in+                           -- singletons-th take just one argument (the data+                           -- type itself)+       | stock_or_default+       , Just decs <- Map.lookup deriv_name stock_map+      -> decs++         -- If we can't find a stock class, but the user bothered to use an+         -- explicit stock keyword, we can at least warn them about it.+       | Just DStockStrategy <- mb_strat+      -> do qReportWarning $ "`singletons-th` doesn't recognize the stock class "+                             ++ nameBase deriv_name+            return mempty++    _ -> return mempty -- singletons-th doesn't support deriving this instance+  where+      mk_instance :: DerivDesc m -> m UInstDecl+      mk_instance maker = maker mb_ctxt ty data_decl++      mk_derived_inst    dec = mempty { pd_instance_decs   = [dec] }++      derived_decl :: DerivedDecl cls+      derived_decl = DerivedDecl { ded_mb_cxt     = mb_ctxt+                                 , ded_type       = ty+                                 , ded_type_tycon = ty_tycon+                                 , ded_decl       = data_decl }+        where+          ty_tycon :: Name+          ty_tycon = case unfoldDType ty of+                       (DConT tc, _) -> tc+                       (t,        _) -> error $ "Not a data type: " ++ show t+      stock_or_default = isStockOrDefault mb_strat++      -- A mapping from all stock derivable classes (that singletons-th supports)+      -- to to derived code that they produce.+      stock_map :: Map Name (m PartitionedDecs)+      stock_map = Map.fromList+        [ ( ordName,         mk_derived_inst <$> mk_instance mkOrdInstance )+        , ( boundedName,     mk_derived_inst <$> mk_instance mkBoundedInstance )+        , ( enumName,        mk_derived_inst <$> mk_instance mkEnumInstance )+        , ( functorName,     mk_derived_inst <$> mk_instance mkFunctorInstance )+        , ( foldableName,    mk_derived_inst <$> mk_instance mkFoldableInstance )+        , ( traversableName, mk_derived_inst <$> mk_instance mkTraversableInstance )++          -- See Note [DerivedDecl] in Data.Singletons.TH.Syntax+        , ( eqName,   do -- These will become PEq/SEq instances...+                         inst_for_promotion <- mk_instance mkEqInstance+                         -- ...and these will become SDecide/Eq/TestEquality/TestCoercion instances.+                         let inst_for_decide = derived_decl+                         return $ mempty { pd_instance_decs   = [inst_for_promotion]+                                         , pd_derived_eq_decs = [inst_for_decide] } )+        , ( ordName,  do -- These will become POrd/SOrd instances...+                         inst_for_promotion <- mk_instance mkOrdInstance+                         -- ...and this will become an Ord instance.+                         let inst_for_ord = derived_decl+                         pure $ mempty { pd_instance_decs    = [inst_for_promotion]+                                       , pd_derived_ord_decs = [inst_for_ord] } )+        , ( showName, do -- These will become PShow/SShow instances...+                         inst_for_promotion <- mk_instance mkShowInstance+                         -- ...and this will become a Show instance.+                         let inst_for_show = derived_decl+                         pure $ mempty { pd_instance_decs     = [inst_for_promotion]+                                       , pd_derived_show_decs = [inst_for_show] } )+        ]++-- Is this being used with an explicit stock strategy, or no strategy at all?+isStockOrDefault :: Maybe DDerivStrategy -> Bool+isStockOrDefault Nothing               = True+isStockOrDefault (Just DStockStrategy) = True+isStockOrDefault (Just _)              = False++{-+Note [Partitioning, type synonyms, and type families]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+The process of singling does not produce any new declarations corresponding to+type synonyms or type families, so they are "ignored" in a sense. Nevertheless,+we explicitly track them during partitioning, since we want to create+defunctionalization symbols for them.++Also note that:++1. Other uses of type synonyms in singled code will be expanded away.+2. Other uses of type families in singled code are unlikely to work at present+   due to Trac #12564.+3. We track open type families, closed type families, and associated type+   families separately, as each form of type family has different kind+   inference behavior. See defunTopLevelTypeDecls and+   defunAssociatedTypeFamilies in D.S.TH.Promote.Defun for how these differences+   manifest.+-}
src/Data/Singletons/TH/Promote.hs view
@@ -1,1094 +1,1205 @@-{- Data/Singletons/TH/Promote.hs
-
-(c) Richard Eisenberg 2013
-rae@cs.brynmawr.edu
-
-This file contains functions to promote term-level constructs to the
-type level. It is an internal module to the singletons-th package.
--}
-
-module Data.Singletons.TH.Promote where
-
-import Language.Haskell.TH hiding ( Q, cxt )
-import Language.Haskell.TH.Syntax ( NameSpace(..), Quasi(..), Uniq )
-import Language.Haskell.TH.Desugar
-import qualified Language.Haskell.TH.Desugar.OMap.Strict as OMap
-import Language.Haskell.TH.Desugar.OMap.Strict (OMap)
-import Data.Singletons.TH.Deriving.Bounded
-import Data.Singletons.TH.Deriving.Enum
-import Data.Singletons.TH.Deriving.Eq
-import Data.Singletons.TH.Deriving.Ord
-import Data.Singletons.TH.Deriving.Show
-import Data.Singletons.TH.Deriving.Util
-import Data.Singletons.TH.Names
-import Data.Singletons.TH.Options
-import Data.Singletons.TH.Partition
-import Data.Singletons.TH.Promote.Defun
-import Data.Singletons.TH.Promote.Monad
-import Data.Singletons.TH.Promote.Type
-import Data.Singletons.TH.Syntax
-import Data.Singletons.TH.Util
-import Prelude hiding (exp)
-import Control.Applicative (Alternative(..))
-import Control.Arrow (second)
-import Control.Monad
-import Control.Monad.Trans.Maybe
-import Control.Monad.Writer
-import Data.List (nub)
-import qualified Data.Map.Strict as Map
-import Data.Map.Strict ( Map )
-import Data.Maybe
-import qualified GHC.LanguageExtensions.Type as LangExt
-
-{-
-Note [Disable genQuotedDecs in genPromotions and genSingletons]
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-Somewhat curiously, the genPromotions and genSingletons functions set the
-genQuotedDecs option to False, despite neither function accepting quoted
-declarations as arguments in the first place. There is a good reason for doing
-this, however. Imagine this code:
-
-  class C a where
-    infixl 9 <%%>
-    (<%%>) :: a -> a -> a
-  $(genPromotions [''C])
-
-If genQuotedDecs is set to True, then the (<%%>) type family will not receive
-a fixity declaration (see
-Note [singletons-th and fixity declarations] in D.S.TH.Single.Fixity, wrinkle 1 for
-more details on this point). Therefore, we set genQuotedDecs to False to avoid
-this problem.
--}
-
--- | Generate promoted definitions for each of the provided type-level
--- declaration 'Name's. This is generally only useful with classes.
-genPromotions :: OptionsMonad q => [Name] -> q [Dec]
-genPromotions names = do
-  opts <- getOptions
-  -- See Note [Disable genQuotedDecs in genPromotions and genSingletons]
-  withOptions opts{genQuotedDecs = False} $ do
-    checkForRep names
-    infos <- mapM reifyWithLocals names
-    dinfos <- mapM dsInfo infos
-    ddecs <- promoteM_ [] $ mapM_ promoteInfo dinfos
-    return $ decsToTH ddecs
-
--- | Promote every declaration given to the type level, retaining the originals.
--- See the
--- @<https://github.com/goldfirere/singletons/blob/master/README.md README>@
--- for further explanation.
-promote :: OptionsMonad q => q [Dec] -> q [Dec]
-promote qdecs = do
-  opts <- getOptions
-  withOptions opts{genQuotedDecs = True} $ promote' $ lift qdecs
-
--- | Promote each declaration, discarding the originals. Note that a promoted
--- datatype uses the same definition as an original datatype, so this will
--- not work with datatypes. Classes, instances, and functions are all fine.
-promoteOnly :: OptionsMonad q => q [Dec] -> q [Dec]
-promoteOnly qdecs = do
-  opts <- getOptions
-  withOptions opts{genQuotedDecs = False} $ promote' $ lift qdecs
-
--- The workhorse for 'promote' and 'promoteOnly'. The difference between the
--- two functions is whether 'genQuotedDecs' is set to 'True' or 'False'.
-promote' :: OptionsMonad q => q [Dec] -> q [Dec]
-promote' qdecs = do
-  opts     <- getOptions
-  decs     <- qdecs
-  ddecs    <- withLocalDeclarations decs $ dsDecs decs
-  promDecs <- promoteM_ decs $ promoteDecs ddecs
-  let origDecs | genQuotedDecs opts = decs
-               | otherwise          = []
-  return $ origDecs ++ decsToTH promDecs
-
--- | Generate defunctionalization symbols for each of the provided type-level
--- declaration 'Name's. See the "Promotion and partial application" section of
--- the @singletons@
--- @<https://github.com/goldfirere/singletons/blob/master/README.md README>@
--- for further explanation.
-genDefunSymbols :: OptionsMonad q => [Name] -> q [Dec]
-genDefunSymbols names = do
-  checkForRep names
-  infos <- mapM (dsInfo <=< reifyWithLocals) names
-  decs <- promoteMDecs [] $ concatMapM defunInfo infos
-  return $ decsToTH decs
-
--- | Produce instances for @PEq@ from the given types
-promoteEqInstances :: OptionsMonad q => [Name] -> q [Dec]
-promoteEqInstances = concatMapM promoteEqInstance
-
--- | Produce an instance for @PEq@ from the given type
-promoteEqInstance :: OptionsMonad q => Name -> q [Dec]
-promoteEqInstance = promoteInstance mkEqInstance "Eq"
-
--- | Produce instances for 'POrd' from the given types
-promoteOrdInstances :: OptionsMonad q => [Name] -> q [Dec]
-promoteOrdInstances = concatMapM promoteOrdInstance
-
--- | Produce an instance for 'POrd' from the given type
-promoteOrdInstance :: OptionsMonad q => Name -> q [Dec]
-promoteOrdInstance = promoteInstance mkOrdInstance "Ord"
-
--- | Produce instances for 'PBounded' from the given types
-promoteBoundedInstances :: OptionsMonad q => [Name] -> q [Dec]
-promoteBoundedInstances = concatMapM promoteBoundedInstance
-
--- | Produce an instance for 'PBounded' from the given type
-promoteBoundedInstance :: OptionsMonad q => Name -> q [Dec]
-promoteBoundedInstance = promoteInstance mkBoundedInstance "Bounded"
-
--- | Produce instances for 'PEnum' from the given types
-promoteEnumInstances :: OptionsMonad q => [Name] -> q [Dec]
-promoteEnumInstances = concatMapM promoteEnumInstance
-
--- | Produce an instance for 'PEnum' from the given type
-promoteEnumInstance :: OptionsMonad q => Name -> q [Dec]
-promoteEnumInstance = promoteInstance mkEnumInstance "Enum"
-
--- | Produce instances for 'PShow' from the given types
-promoteShowInstances :: OptionsMonad q => [Name] -> q [Dec]
-promoteShowInstances = concatMapM promoteShowInstance
-
--- | Produce an instance for 'PShow' from the given type
-promoteShowInstance :: OptionsMonad q => Name -> q [Dec]
-promoteShowInstance = promoteInstance mkShowInstance "Show"
-
-promoteInstance :: OptionsMonad q => DerivDesc q -> String -> Name -> q [Dec]
-promoteInstance mk_inst class_name name = do
-  (df, tvbs, cons) <- getDataD ("I cannot make an instance of " ++ class_name
-                                ++ " for it.") name
-  tvbs' <- mapM dsTvbUnit tvbs
-  let data_ty   = foldTypeTvbs (DConT name) tvbs'
-  cons' <- concatMapM (dsCon tvbs' data_ty) cons
-  let data_decl = DataDecl df name tvbs' cons'
-  raw_inst <- mk_inst Nothing data_ty data_decl
-  decs <- promoteM_ [] $ void $
-          promoteInstanceDec OMap.empty Map.empty raw_inst
-  return $ decsToTH decs
-
-promoteInfo :: DInfo -> PrM ()
-promoteInfo (DTyConI dec _instances) = promoteDecs [dec]
-promoteInfo (DPrimTyConI _name _numArgs _unlifted) =
-  fail "Promotion of primitive type constructors not supported"
-promoteInfo (DVarI _name _ty _mdec) =
-  fail "Promotion of individual values not supported"
-promoteInfo (DTyVarI _name _ty) =
-  fail "Promotion of individual type variables not supported"
-promoteInfo (DPatSynI {}) =
-  fail "Promotion of pattern synonyms not supported"
-
--- Promote a list of top-level declarations.
-promoteDecs :: [DDec] -> PrM ()
-promoteDecs raw_decls = do
-  decls <- expand raw_decls     -- expand type synonyms
-  checkForRepInDecls decls
-  PDecs { pd_let_decs                = let_decs
-        , pd_class_decs              = classes
-        , pd_instance_decs           = insts
-        , pd_data_decs               = datas
-        , pd_ty_syn_decs             = ty_syns
-        , pd_open_type_family_decs   = o_tyfams
-        , pd_closed_type_family_decs = c_tyfams } <- partitionDecs decls
-
-  defunTopLevelTypeDecls ty_syns c_tyfams o_tyfams
-  rec_sel_let_decs <- promoteDataDecs datas
-    -- promoteLetDecs returns LetBinds, which we don't need at top level
-  _ <- promoteLetDecs Nothing $ rec_sel_let_decs ++ let_decs
-  mapM_ promoteClassDec classes
-  let orig_meth_sigs = foldMap (lde_types . cd_lde) classes
-      cls_tvbs_map   = Map.fromList $ map (\cd -> (cd_name cd, cd_tvbs cd)) classes
-  mapM_ (promoteInstanceDec orig_meth_sigs cls_tvbs_map) insts
-
--- curious about ALetDecEnv? See the LetDecEnv module for an explanation.
-promoteLetDecs :: Maybe Uniq -- let-binding unique (if locally bound)
-               -> [DLetDec] -> PrM ([LetBind], ALetDecEnv)
-promoteLetDecs mb_let_uniq decls = do
-  opts <- getOptions
-  let_dec_env <- buildLetDecEnv decls
-  all_locals <- allLocals
-  let binds = [ (name, foldType (DConT sym) (map DVarT all_locals))
-              | (name, _) <- OMap.assocs $ lde_defns let_dec_env
-              , let proName = promotedValueName opts name mb_let_uniq
-                    sym = defunctionalizedName opts proName (length all_locals) ]
-  (decs, let_dec_env') <- letBind binds $ promoteLetDecEnv mb_let_uniq let_dec_env
-  emitDecs decs
-  return (binds, let_dec_env' { lde_proms = OMap.fromList binds })
-
-promoteDataDecs :: [DataDecl] -> PrM [DLetDec]
-promoteDataDecs = concatMapM promoteDataDec
-
--- "Promotes" a data type, much like D.S.TH.Single.Data.singDataD singles a data
--- type. Promoting a data type is much easier than singling it, however, since
--- DataKinds automatically promotes data types and kinds and data constructors
--- to types. That means that promoteDataDec only has to do three things:
---
--- 1. Emit defunctionalization symbols for each data constructor,
---
--- 2. Emit promoted fixity declarations for each data constructor and promoted
---    record selector (assuming the originals have fixity declarations), and
---
--- 3. Assemble a top-level function that mimics the behavior of its record
---    selectors. Note that promoteDataDec does not actually promote this record
---    selector function—it merely returns its DLetDecs. Later, the promoteDecs
---    function takes these DLetDecs and promotes them (using promoteLetDecs).
---    This greatly simplifies the plumbing, since this allows all DLetDecs to
---    be promoted in a single location.
---    See Note [singletons-th and record selectors] in D.S.TH.Single.Data.
-promoteDataDec :: DataDecl -> PrM [DLetDec]
-promoteDataDec (DataDecl _ _ _ ctors) = do
-  let rec_sel_names = nub $ concatMap extractRecSelNames ctors
-                      -- Note the use of nub: the same record selector name can
-                      -- be used in multiple constructors!
-  rec_sel_let_decs <- getRecordSelectors ctors
-  ctorSyms         <- buildDefunSymsDataD ctors
-  infix_decs       <- promoteReifiedInfixDecls rec_sel_names
-  emitDecs $ ctorSyms ++ infix_decs
-  pure rec_sel_let_decs
-
-promoteClassDec :: UClassDecl -> PrM AClassDecl
-promoteClassDec decl@(ClassDecl { cd_name = cls_name
-                                , cd_tvbs = tvbs
-                                , cd_fds  = fundeps
-                                , cd_atfs = atfs
-                                , cd_lde  = lde@LetDecEnv
-                                    { lde_defns = defaults
-                                    , lde_types = meth_sigs
-                                    , lde_infix = infix_decls } }) = do
-  opts <- getOptions
-  let pClsName       = promotedClassName opts cls_name
-      meth_sigs_list = OMap.assocs meth_sigs
-      meth_names     = map fst meth_sigs_list
-      defaults_list  = OMap.assocs defaults
-      defaults_names = map fst defaults_list
-  mb_cls_sak <- dsReifyType cls_name
-  sig_decs <- mapM (uncurry promote_sig) meth_sigs_list
-  (default_decs, ann_rhss, prom_rhss)
-    <- mapAndUnzip3M (promoteMethod DefaultMethods meth_sigs) defaults_list
-  defunAssociatedTypeFamilies tvbs atfs
-
-  infix_decls' <- mapMaybeM (uncurry (promoteInfixDecl Nothing)) $
-                  OMap.assocs infix_decls
-  cls_infix_decls <- promoteReifiedInfixDecls $ cls_name:meth_names
-
-  -- no need to do anything to the fundeps. They work as is!
-  let pro_cls_dec = DClassD [] pClsName tvbs fundeps
-                            (sig_decs ++ default_decs ++ infix_decls')
-      mb_pro_cls_sak = fmap (DKiSigD pClsName) mb_cls_sak
-  emitDecs $ maybeToList mb_pro_cls_sak ++ pro_cls_dec:cls_infix_decls
-  let defaults_list' = zip defaults_names ann_rhss
-      proms          = zip defaults_names prom_rhss
-  return (decl { cd_lde = lde { lde_defns = OMap.fromList defaults_list'
-                              , lde_proms = OMap.fromList proms } })
-  where
-    promote_sig :: Name -> DType -> PrM DDec
-    promote_sig name ty = do
-      opts <- getOptions
-      let proName = promotedTopLevelValueName opts name
-      -- When computing the kind to use for the defunctionalization symbols,
-      -- /don't/ use the type variable binders from the method's type...
-      (_, argKs, resK) <- promoteUnraveled ty
-      args <- mapM (const $ qNewName "arg") argKs
-      let proTvbs = zipWith (`DKindedTV` ()) args argKs
-      -- ...instead, compute the type variable binders in a left-to-right order,
-      -- since that is the same order that the promoted method's kind will use.
-      -- See Note [Promoted class methods and kind variable ordering]
-          meth_sak_tvbs = changeDTVFlags SpecifiedSpec $
-                          toposortTyVarsOf $ argKs ++ [resK]
-          meth_sak      = ravelVanillaDType meth_sak_tvbs [] argKs resK
-      m_fixity <- reifyFixityWithLocals name
-      emitDecsM $ defunctionalize proName m_fixity $ DefunSAK meth_sak
-
-      return $ DOpenTypeFamilyD (DTypeFamilyHead proName
-                                                 proTvbs
-                                                 (DKindSig resK)
-                                                 Nothing)
-
-{-
-Note [Promoted class methods and kind variable ordering]
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-In general, we make an effort to preserve the order of type variables when
-promoting type signatures, but there is an annoying corner case where this is
-difficult: class methods. When promoting class methods, the order of kind
-variables in their kinds will often "just work" by happy coincidence, but
-there are some situations where this does not happen. Consider the following
-class:
-
-  class C (b :: Type) where
-    m :: forall a. a -> b -> a
-
-The full type of `m` is `forall b. C b => forall a. a -> b -> a`, which binds
-`b` before `a`. This order is preserved when singling `m`, but *not* when
-promoting `m`. This is because the `C` class is promoted as follows:
-
-  class PC (b :: Type) where
-    type M (x :: a) (y :: b) :: a
-
-Due to the way GHC kind-checks associated type families, the kind of `M` is
-`forall a b. a -> b -> a`, which binds `b` *after* `a`. Moreover, the
-`StandaloneKindSignatures` extension does not provide a way to explicitly
-declare the full kind of an associated type family, so this limitation is
-not easy to work around.
-
-The defunctionalization symbols for `M` will also follow a similar
-order of type variables:
-
-  type MSym0 :: forall a b. a ~> b ~> a
-  type MSym1 :: forall a b. a -> b ~> a
-
-There is one potential hack we could use to rectify this:
-
-  type FlipConst x y = y
-  class PC (b :: Type) where
-    type M (x :: FlipConst '(b, a) a) (y :: b) :: a
-
-Using `FlipConst` would cause `b` to be mentioned before `a`, which would give
-`M` the kind `forall b a. FlipConst '(b, a) a -> b -> a`. While the order of
-type variables would be preserved, the downside is that the ugly `FlipConst`
-type synonym leaks into the kind. I'm not particularly fond of this, so I have
-decided not to use this hack unless someone specifically requests it.
--}
-
--- returns (unpromoted method name, ALetDecRHS) pairs
-promoteInstanceDec :: OMap Name DType
-                      -- Class method type signatures
-                   -> Map Name [DTyVarBndrUnit]
-                      -- Class header type variable (e.g., if `class C a b` is
-                      -- quoted, then this will have an entry for {C |-> [a, b]})
-                   -> UInstDecl -> PrM AInstDecl
-promoteInstanceDec orig_meth_sigs cls_tvbs_map
-                   decl@(InstDecl { id_name     = cls_name
-                                  , id_arg_tys  = inst_tys
-                                  , id_sigs     = inst_sigs
-                                  , id_meths    = meths }) = do
-  opts <- getOptions
-  cls_tvbs <- lookup_cls_tvbs
-  inst_kis <- mapM promoteType inst_tys
-  let pClsName      = promotedClassName opts cls_name
-      cls_tvb_names = map extractTvbName cls_tvbs
-      subst         = Map.fromList $ zip cls_tvb_names inst_kis
-      meth_impl     = InstanceMethods inst_sigs subst
-  (meths', ann_rhss, _)
-    <- mapAndUnzip3M (promoteMethod meth_impl orig_meth_sigs) meths
-  emitDecs [DInstanceD Nothing Nothing [] (foldType (DConT pClsName)
-                                            inst_kis) meths']
-  return (decl { id_meths = zip (map fst meths) ann_rhss })
-  where
-    lookup_cls_tvbs :: PrM [DTyVarBndrUnit]
-    lookup_cls_tvbs =
-      -- First, try consulting the map of class names to their type variables.
-      -- It is important to do this first to ensure that we consider locally
-      -- declared classes before imported ones. See #410 for what happens if
-      -- you don't.
-      case Map.lookup cls_name cls_tvbs_map of
-        Just tvbs -> pure tvbs
-        Nothing   -> reify_cls_tvbs
-          -- If the class isn't present in this map, we try reifying the class
-          -- as a last resort.
-
-    reify_cls_tvbs :: PrM [DTyVarBndrUnit]
-    reify_cls_tvbs = do
-      opts <- getOptions
-      let pClsName = promotedClassName opts cls_name
-          mk_tvbs  = extract_tvbs (dsReifyTypeNameInfo pClsName)
-                 <|> extract_tvbs (dsReifyTypeNameInfo cls_name)
-                      -- See Note [Using dsReifyTypeNameInfo when promoting instances]
-      mb_tvbs <- runMaybeT mk_tvbs
-      case mb_tvbs of
-        Just tvbs -> pure tvbs
-        Nothing -> fail $ "Cannot find class declaration annotation for " ++ show cls_name
-
-    extract_tvbs :: PrM (Maybe DInfo) -> MaybeT PrM [DTyVarBndrUnit]
-    extract_tvbs reify_info = do
-      mb_info <- lift reify_info
-      case mb_info of
-        Just (DTyConI (DClassD _ _ tvbs _ _) _) -> pure tvbs
-        _                                       -> empty
-
-{-
-Note [Using dsReifyTypeNameInfo when promoting instances]
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-During the promotion of a class instance, it becomes necessary to reify the
-original promoted class's info to learn various things. It's tempting to think
-that just calling dsReify on the class name will be sufficient, but it's not.
-Consider this class and its promotion:
-
-  class Eq a where
-    (==) :: a -> a -> Bool
-
-  class PEq a where
-    type (==) (x :: a) (y :: a) :: Bool
-
-Notice how both of these classes have an identifier named (==), one at the
-value level, and one at the type level. Now imagine what happens when you
-attempt to promote this Template Haskell declaration:
-
-   [d| f :: Bool
-       f = () == () |]
-
-When promoting ==, singletons-th will come up with its promoted equivalent (which also
-happens to be ==). However, this promoted name is a raw Name, since it is created
-with mkName. This becomes an issue when we call dsReify the raw "==" Name, as
-Template Haskell has to arbitrarily choose between reifying the info for the
-value-level (==) and the type-level (==), and in this case, it happens to pick the
-value-level (==) info. We want the type-level (==) info, however, because we care
-about the promoted version of (==).
-
-Fortunately, there's a serviceable workaround. Instead of dsReify, we can use
-dsReifyTypeNameInfo, which first calls lookupTypeName (to ensure we can find a Name
-that's in the type namespace) and _then_ reifies it.
--}
-
--- Which sort of class methods are being promoted?
-data MethodSort
-    -- The method defaults in class declarations.
-  = DefaultMethods
-    -- The methods in instance declarations.
-  | InstanceMethods (OMap Name DType) -- ^ InstanceSigs
-                    (Map Name DKind)  -- ^ Instantiations for class tyvars
-                                      --   See Note [Promoted class method kinds]
-  deriving Show
-
-promoteMethod :: MethodSort
-              -> OMap Name DType    -- method types
-              -> (Name, ULetDecRHS)
-              -> PrM (DDec, ALetDecRHS, DType)
-                 -- returns (type instance, ALetDecRHS, promoted RHS)
-promoteMethod meth_sort orig_sigs_map (meth_name, meth_rhs) = do
-  opts <- getOptions
-  (meth_arg_kis, meth_res_ki) <- promote_meth_ty
-  meth_arg_tvs <- replicateM (length meth_arg_kis) (qNewName "a")
-  let proName = promotedTopLevelValueName opts meth_name
-      helperNameBase = case nameBase proName of
-                         first:_ | not (isHsLetter first) -> "TFHelper"
-                         alpha                            -> alpha
-
-      -- family_args are the type variables in a promoted class's
-      -- associated type family instance (or default implementation), e.g.,
-      --
-      --   class C k where
-      --     type T (a :: k) (b :: Bool)
-      --     type T a b = THelper1 a b        -- family_args = [a, b]
-      --
-      --   instance C Bool where
-      --     type T a b = THelper2 a b        -- family_args = [a, b]
-      --
-      -- We could annotate these variables with explicit kinds, but it's not
-      -- strictly necessary, as kind inference can figure them out just as well.
-      family_args = map DVarT meth_arg_tvs
-  helperName <- newUniqueName helperNameBase
-  let helperDefunName = defunctionalizedName0 opts helperName
-  (pro_decs, defun_decs, ann_rhs)
-    <- promoteLetDecRHS (ClassMethodRHS meth_arg_kis meth_res_ki)
-                        OMap.empty OMap.empty
-                        Nothing helperName meth_rhs
-  emitDecs (pro_decs ++ defun_decs)
-  return ( DTySynInstD
-             (DTySynEqn Nothing
-                        (foldType (DConT proName) family_args)
-                        (foldApply (DConT helperDefunName) (map DVarT meth_arg_tvs)))
-         , ann_rhs
-         , DConT helperDefunName )
-  where
-    -- Promote the type of a class method. For a default method, "the type" is
-    -- simply the type of the original method. For an instance method,
-    -- "the type" is like the type of the original method, but substituted for
-    -- the types in the instance head. (e.g., if you have `class C a` and
-    -- `instance C T`, then the substitution [a |-> T] must be applied to the
-    -- original method's type.)
-    promote_meth_ty :: PrM ([DKind], DKind)
-    promote_meth_ty =
-      case meth_sort of
-        DefaultMethods ->
-          -- No substitution for class variables is required for default
-          -- method type signatures, as they share type variables with the
-          -- class they inhabit.
-          lookup_meth_ty
-        InstanceMethods inst_sigs_map cls_subst ->
-          case OMap.lookup meth_name inst_sigs_map of
-            Just ty -> do
-              -- We have an InstanceSig. These are easy: we can just use the
-              -- instance signature's type directly, and no substitution for
-              -- class variables is required.
-              (_tvbs, arg_kis, res_ki) <- promoteUnraveled ty
-              pure (arg_kis, res_ki)
-            Nothing -> do
-              -- We don't have an InstanceSig, so we must compute the kind to use
-              -- ourselves.
-              (arg_kis, res_ki) <- lookup_meth_ty
-              -- Substitute for the class variables in the method's type.
-              -- See Note [Promoted class method kinds]
-              let arg_kis' = map (substKind cls_subst) arg_kis
-                  res_ki'  = substKind cls_subst res_ki
-              pure (arg_kis', res_ki')
-
-    -- Attempt to look up a class method's original type.
-    lookup_meth_ty :: PrM ([DKind], DKind)
-    lookup_meth_ty = do
-      opts <- getOptions
-      let proName = promotedTopLevelValueName opts meth_name
-      case OMap.lookup meth_name orig_sigs_map of
-        Just ty -> do
-          -- The type of the method is in scope, so promote that.
-          (_tvbs, arg_kis, res_ki) <- promoteUnraveled ty
-          pure (arg_kis, res_ki)
-        Nothing -> do
-          -- If the type of the method is not in scope, the only other option
-          -- is to try reifying the promoted method name.
-          mb_info <- dsReifyTypeNameInfo proName
-                     -- See Note [Using dsReifyTypeNameInfo when promoting instances]
-          case mb_info of
-            Just (DTyConI (DOpenTypeFamilyD (DTypeFamilyHead _ tvbs mb_res_ki _)) _)
-              -> let arg_kis = map (defaultMaybeToTypeKind . extractTvbKind) tvbs
-                     res_ki  = defaultMaybeToTypeKind (resultSigToMaybeKind mb_res_ki)
-                  in pure (arg_kis, res_ki)
-            _ -> fail $ "Cannot find type annotation for " ++ show proName
-
-{-
-Note [Promoted class method kinds]
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-Consider this example of a type class (and instance):
-
-  class C a where
-    m :: a -> Bool -> Bool
-    m _ x = x
-
-  instance C [a] where
-    m l _ = null l
-
-The promoted version of these declarations would be:
-
-  class PC a where
-    type M (x :: a) (y :: Bool) :: Bool
-    type M x y = MHelper1 x y
-
-  instance PC [a] where
-    type M x y = MHelper2 x y
-
-  type MHelper1 :: a -> Bool -> Bool
-  type family MHelper1 x y where ...
-
-  type MHelper2 :: [a] -> Bool -> Bool
-  type family MHelper2 x y where ...
-
-Getting the kind signature for MHelper1 (the promoted default implementation of
-M) is quite simple, as it corresponds exactly to the kind of M. We might even
-choose to make that the kind of MHelper2, but then it would be overly general
-(and more difficult to find in -ddump-splices output). For this reason, we
-substitute in the kinds of the instance itself to determine the kinds of
-promoted method implementations like MHelper2.
--}
-
-promoteLetDecEnv :: Maybe Uniq -> ULetDecEnv -> PrM ([DDec], ALetDecEnv)
-promoteLetDecEnv mb_let_uniq (LetDecEnv { lde_defns = value_env
-                                        , lde_types = type_env
-                                        , lde_infix = fix_env }) = do
-  infix_decls <- mapMaybeM (uncurry (promoteInfixDecl mb_let_uniq)) $
-                 OMap.assocs fix_env
-
-    -- promote all the declarations, producing annotated declarations
-  let (names, rhss) = unzip $ OMap.assocs value_env
-  (pro_decs, defun_decss, ann_rhss)
-    <- fmap unzip3 $
-       zipWithM (promoteLetDecRHS LetBindingRHS type_env fix_env mb_let_uniq)
-                names rhss
-
-  emitDecs $ concat defun_decss
-  let decs = concat pro_decs ++ infix_decls
-
-    -- build the ALetDecEnv
-  let let_dec_env' = LetDecEnv { lde_defns     = OMap.fromList $ zip names ann_rhss
-                               , lde_types     = type_env
-                               , lde_infix     = fix_env
-                               , lde_proms     = OMap.empty  -- filled in promoteLetDecs
-                               }
-
-  return (decs, let_dec_env')
-
--- Promote a fixity declaration.
-promoteInfixDecl :: forall q. OptionsMonad q
-                 => Maybe Uniq -> Name -> Fixity -> q (Maybe DDec)
-promoteInfixDecl mb_let_uniq name fixity = do
-  opts  <- getOptions
-  mb_ns <- reifyNameSpace name
-  case mb_ns of
-    -- If we can't find the Name for some odd reason, fall back to promote_val
-    Nothing        -> promote_val
-    Just VarName   -> promote_val
-    Just DataName  -> never_mind
-    Just TcClsName -> do
-      mb_info <- dsReify name
-      case mb_info of
-        Just (DTyConI DClassD{} _)
-          -> finish $ promotedClassName opts name
-        _ -> never_mind
-  where
-    -- Produce the fixity declaration.
-    finish :: Name -> q (Maybe DDec)
-    finish = pure . Just . DLetDec . DInfixD fixity
-
-    -- Don't produce a fixity declaration at all. This happens when promoting a
-    -- fixity declaration for a name whose promoted counterpart is the same as
-    -- the original name.
-    -- See Note [singletons-th and fixity declarations] in D.S.TH.Single.Fixity, wrinkle 1.
-    never_mind :: q (Maybe DDec)
-    never_mind = pure Nothing
-
-    -- Certain value names do not change when promoted (e.g., infix names).
-    -- Therefore, don't bother promoting their fixity declarations if
-    -- 'genQuotedDecs' is set to 'True', since that will run the risk of
-    -- generating duplicate fixity declarations.
-    -- See Note [singletons-th and fixity declarations] in D.S.TH.Single.Fixity, wrinkle 1.
-    promote_val :: q (Maybe DDec)
-    promote_val = do
-      opts <- getOptions
-      let promoted_name :: Name
-          promoted_name = promotedValueName opts name mb_let_uniq
-      if nameBase name == nameBase promoted_name && genQuotedDecs opts
-         then never_mind
-         else finish promoted_name
-
--- Try producing promoted fixity declarations for Names by reifying them
--- /without/ consulting quoted declarations. If reification fails, recover and
--- return the empty list.
--- See [singletons-th and fixity declarations] in D.S.TH.Single.Fixity, wrinkle 2.
-promoteReifiedInfixDecls :: forall q. OptionsMonad q => [Name] -> q [DDec]
-promoteReifiedInfixDecls = mapMaybeM tryPromoteFixityDeclaration
-  where
-    tryPromoteFixityDeclaration :: Name -> q (Maybe DDec)
-    tryPromoteFixityDeclaration name =
-      qRecover (return Nothing) $ do
-        mFixity <- qReifyFixity name
-        case mFixity of
-          Nothing     -> pure Nothing
-          Just fixity -> promoteInfixDecl Nothing name fixity
-
--- Which sort of let-bound declaration's right-hand side is being promoted?
-data LetDecRHSSort
-    -- An ordinary (i.e., non-class-related) let-bound declaration.
-  = LetBindingRHS
-    -- The right-hand side of a class method (either a default method or a
-    -- method in an instance declaration).
-  | ClassMethodRHS
-      [DKind] DKind
-      -- The RHS's promoted argument and result types. Needed to fix #136.
-  deriving Show
-
--- This function is used both to promote class method defaults and normal
--- let bindings. Thus, it can't quite do all the work locally and returns
--- an intermediate structure. Perhaps a better design is available.
-promoteLetDecRHS :: LetDecRHSSort
-                 -> OMap Name DType      -- local type env't
-                 -> OMap Name Fixity     -- local fixity env't
-                 -> Maybe Uniq           -- let-binding unique (if locally bound)
-                 -> Name                 -- name of the thing being promoted
-                 -> ULetDecRHS           -- body of the thing
-                 -> PrM ( [DDec]        -- promoted type family dec, plus the
-                                        -- SAK dec (if one exists)
-                        , [DDec]        -- defunctionalization
-                        , ALetDecRHS )  -- annotated RHS
-promoteLetDecRHS rhs_sort type_env fix_env mb_let_uniq name let_dec_rhs = do
-  opts <- getOptions
-  all_locals <- allLocals
-  case let_dec_rhs of
-    UValue exp -> do
-      (m_ldrki, ty_num_args) <- promote_let_dec_ty all_locals 0
-      if ty_num_args == 0
-      then
-        let proName = promotedValueName opts name mb_let_uniq
-            prom_fun_lhs = foldType (DConT proName) $ map DVarT all_locals in
-        promote_let_dec_rhs all_locals m_ldrki 0 (promoteExp exp)
-                            (\exp' -> [DTySynEqn Nothing prom_fun_lhs exp'])
-                            AValue
-      else
-        -- If we have a UValue with a function type, process it as though it
-        -- were a UFunction. promote_function_rhs will take care of
-        -- eta-expanding arguments as necessary.
-        promote_function_rhs all_locals [DClause [] exp]
-    UFunction clauses -> promote_function_rhs all_locals clauses
-  where
-    -- Promote the RHS of a UFunction (or a UValue with a function type).
-    promote_function_rhs :: [Name]
-                         -> [DClause] -> PrM ([DDec], [DDec], ALetDecRHS)
-    promote_function_rhs all_locals clauses = do
-      opts <- getOptions
-      numArgs <- count_args clauses
-      let proName = promotedValueName opts name mb_let_uniq
-          prom_fun_lhs = foldType (DConT proName) $ map DVarT all_locals
-      (m_ldrki, ty_num_args) <- promote_let_dec_ty all_locals numArgs
-      expClauses <- mapM (etaContractOrExpand ty_num_args numArgs) clauses
-      promote_let_dec_rhs all_locals m_ldrki ty_num_args
-                          (mapAndUnzipM (promoteClause prom_fun_lhs) expClauses)
-                          id (AFunction ty_num_args)
-
-    -- Promote a UValue or a UFunction.
-    -- Notes about type variables:
-    --
-    -- * For UValues, `prom_a` is DType and `a` is Exp.
-    --
-    -- * For UFunctions, `prom_a` is [DTySynEqn] and `a` is [DClause].
-    promote_let_dec_rhs
-      :: [Name]                   -- Local variables bound in this scope
-      -> Maybe LetDecRHSKindInfo  -- Information about the promoted kind (if present)
-      -> Int                      -- The number of promoted function arguments
-      -> PrM (prom_a, a)          -- Promote the RHS
-      -> (prom_a -> [DTySynEqn])  -- Turn the promoted RHS into type family equations
-      -> (a -> ALetDecRHS)        -- Build an ALetDecRHS
-      -> PrM ([DDec], [DDec], ALetDecRHS)
-    promote_let_dec_rhs all_locals m_ldrki ty_num_args
-                        promote_thing mk_prom_eqns mk_alet_dec_rhs = do
-      opts <- getOptions
-      tyvarNames <- replicateM ty_num_args (qNewName "a")
-      let proName    = promotedValueName opts name mb_let_uniq
-          local_tvbs = map (`DPlainTV` ()) all_locals
-          m_fixity   = OMap.lookup name fix_env
-
-          mk_tf_head :: [DTyVarBndrUnit] -> DFamilyResultSig -> DTypeFamilyHead
-          mk_tf_head tvbs res_sig = DTypeFamilyHead proName tvbs res_sig Nothing
-
-          (m_sak_dec, defun_ki, tf_head) =
-              -- There are three possible cases:
-            case m_ldrki of
-              -- 1. We have no kind information whatsoever.
-              Nothing ->
-                let all_args = local_tvbs ++ map (`DPlainTV` ()) tyvarNames in
-                ( Nothing
-                , DefunNoSAK all_args Nothing
-                , mk_tf_head all_args DNoSig
-                )
-              -- 2. We have some kind information in the form of a LetDecRHSKindInfo.
-              Just (LDRKI m_sak argKs resK) ->
-                let all_args = local_tvbs ++ zipWith (`DKindedTV` ()) tyvarNames argKs in
-                case m_sak of
-                  -- 2(a). We do not have a standalone kind signature.
-                  Nothing ->
-                    ( Nothing
-                    , DefunNoSAK all_args (Just resK)
-                    , mk_tf_head all_args (DKindSig resK)
-                    )
-                  -- 2(b). We have a standalone kind signature.
-                  Just sak ->
-                    ( Just $ DKiSigD proName sak
-                    , DefunSAK sak
-                      -- We opt to annotate the argument and result kinds in
-                      -- the body of the type family declaration even if it is
-                      -- given a standalone kind signature.
-                      -- See Note [Keep redundant kind information for Haddocks].
-                    , mk_tf_head all_args (DKindSig resK)
-                    )
-
-      defun_decs <- defunctionalize proName m_fixity defun_ki
-      (prom_thing, thing) <- promote_thing
-      return ( catMaybes [ m_sak_dec
-                         , Just $ DClosedTypeFamilyD tf_head (mk_prom_eqns prom_thing)
-                         ]
-             , defun_decs
-             , mk_alet_dec_rhs thing )
-
-    promote_let_dec_ty :: [Name] -- The local variables that the let-dec closes
-                                 -- over. If this is non-empty, we cannot
-                                 -- produce a standalone kind signature.
-                                 -- See Note [No SAKs for let-decs with local variables]
-                       -> Int    -- The number of arguments to default to if the
-                                 -- type cannot be inferred. This is 0 for UValues
-                                 -- and the number of arguments in a single clause
-                                 -- for UFunctions.
-                       -> PrM (Maybe LetDecRHSKindInfo, Int)
-                                 -- Returns two things in a pair:
-                                 --
-                                 -- 1. Information about the promoted kind,
-                                 --    if available.
-                                 --
-                                 -- 2. The number of arguments the let-dec has.
-                                 --    If no kind information is available from
-                                 --    which to infer this number, then this
-                                 --    will default to the earlier Int argument.
-    promote_let_dec_ty all_locals default_num_args =
-      case rhs_sort of
-        ClassMethodRHS arg_kis res_ki
-          -> -- For class method RHS helper functions, don't bother quantifying
-             -- any type variables in their SAKS. We could certainly try, but
-             -- given that these functions are only used internally, there's no
-             -- point in trying to get the order of type variables correct,
-             -- since we don't apply these functions with visible kind
-             -- applications.
-             let sak = ravelVanillaDType [] [] arg_kis res_ki in
-             return (Just (LDRKI (Just sak) arg_kis res_ki), length arg_kis)
-        LetBindingRHS
-          |  Just ty <- OMap.lookup name type_env
-          -> do
-          -- promoteType turns rank-1 uses of (->) into (~>). So, we unravel
-          -- first to avoid this behavior, and then ravel back.
-          (tvbs, argKs, resultK) <- promoteUnraveled ty
-          let m_sak | null all_locals = Just $ ravelVanillaDType tvbs [] argKs resultK
-                      -- If this let-dec closes over local variables, then
-                      -- don't give it a SAK.
-                      -- See Note [No SAKs for let-decs with local variables]
-                    | otherwise       = Nothing
-          -- invariant: count_args ty == length argKs
-          return (Just (LDRKI m_sak argKs resultK), length argKs)
-
-          |  otherwise
-          -> return (Nothing, default_num_args)
-
-    etaContractOrExpand :: Int -> Int -> DClause -> PrM DClause
-    etaContractOrExpand ty_num_args clause_num_args (DClause pats exp)
-      | n >= 0 = do -- Eta-expand
-          names <- replicateM n (newUniqueName "a")
-          let newPats = map DVarP names
-              newArgs = map DVarE names
-          return $ DClause (pats ++ newPats) (foldExp exp newArgs)
-      | otherwise = do -- Eta-contract
-          let (clausePats, lamPats) = splitAt ty_num_args pats
-          lamExp <- mkDLamEFromDPats lamPats exp
-          return $ DClause clausePats lamExp
-      where
-        n = ty_num_args - clause_num_args
-
-    count_args :: [DClause] -> PrM Int
-    count_args (DClause pats _ : _) = return $ length pats
-    count_args _ = fail $ "Impossible! A function without clauses."
-
--- An auxiliary data type used in promoteLetDecRHS that describes information
--- related to the promoted kind of a class method default or normal
--- let binding.
-data LetDecRHSKindInfo =
-  LDRKI (Maybe DKind)    -- The standalone kind signature, if applicable.
-                         -- This will be Nothing if the let-dec RHS has local
-                         -- variables that it closes over.
-                         -- See Note [No SAKs for let-decs with local variables]
-        [DKind]          -- The argument kinds.
-        DKind            -- The result kind.
-
-{-
-Note [No SAKs for let-decs with local variables]
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-Consider promoting this:
-
-  f :: Bool
-  f = let x = True
-          g :: () -> Bool
-          g _ = x
-      in g ()
-
-Clearly, the promoted `F` type family will have the following SAK:
-
-  type F :: ()
-
-What about `G`? At a passing glance, it appears that you could get away with
-this:
-
-  type G :: Bool -> ()
-
-But this isn't quite right, since `g` closes over `x = True`. The body of `G`,
-therefore, has to lift `x` to be an explicit argument:
-
-  type family G x (u :: ()) :: Bool where
-    G x _ = x
-
-At present, we don't keep track of the types of local variables like `x`, which
-makes it difficult to create a SAK for things like `G`. Here are some possible
-ideas, each followed by explanations for why they are infeasible:
-
-* Use wildcards:
-
-    type G :: _ -> () -> Bool
-
-  Alas, GHC currently does not allow wildcards in SAKs. See GHC#17432.
-
-* Use visible dependent quantification to avoid having to say what the kind
-  of `x` is:
-
-    type G :: forall x -> () -> Bool
-
-  A clever trick to be sure, but it doesn't quite do what we want, since
-  GHC will generalize that kind to become `forall (x :: k) -> () -> Bool`,
-  which is more general than we want.
-
-In any case, it's probably not worth bothering with SAKs for local definitions
-like `g` in the first place, so we avoid generating SAKs for anything that
-closes over at least one local variable for now. If someone yells about this,
-we'll reconsider this design.
-
-Note [Keep redundant kind information for Haddocks]
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-`singletons-th` generates explicit argument kinds and result kinds for
-type-level declarations whenever possible, even if those kinds are technically
-redundant. For example, `singletons-th` would promote this:
-
-  id' :: a -> a
-
-To this:
-
-  type Id' :: a -> a
-  type family Id' (x :: a) :: a where ...
-
-Strictly speaking, the argument and result kind of Id' are unnecessary, since
-the same information is already present in the standalone kind signature.
-However, due to a Haddock limitation
-(https://github.com/haskell/haddock/issues/1178), Haddock will not render
-standalone kind signatures at all, so if the argument and result kind of Id'
-were omitted in the body, Haddock would render it like so:
-
-  type family Id' x where ...
-
-This is unfortunate for Haddock viewers, as this does not convey any kind
-information whatsoever. Until the aformentioned Haddock issue is resolved, we
-work around this limitation by generating the redundant argument and kind
-information anyway. Thankfully, this is simple to accomplish, as we already
-compute this information to begin with.
--}
-
-promoteClause :: DType -- What to use as the LHS of the promoted type family
-                       -- equation. This should consist of the promoted name of
-                       -- the function to which the clause belongs, applied to
-                       -- any local arguments (e.g., `Go x y z`).
-              -> DClause -> PrM (DTySynEqn, ADClause)
-promoteClause pro_clause_fun (DClause pats exp) = do
-  -- promoting the patterns creates variable bindings. These are passed
-  -- to the function promoted the RHS
-  ((types, pats'), new_vars) <- evalForPair $ mapAndUnzipM promotePat pats
-  (ty, ann_exp) <- lambdaBind new_vars $ promoteExp exp
-  return ( DTySynEqn Nothing (foldType pro_clause_fun types) ty
-         , ADClause new_vars pats' ann_exp )
-
-promoteMatch :: DType -- What to use as the LHS of the promoted type family
-                      -- equation. This should consist of the promoted name of
-                      -- the case expression to which the match belongs, applied
-                      -- to any local arguments (e.g., `Case x y z`).
-             -> DMatch -> PrM (DTySynEqn, ADMatch)
-promoteMatch pro_case_fun (DMatch pat exp) = do
-  -- promoting the patterns creates variable bindings. These are passed
-  -- to the function promoted the RHS
-  ((ty, pat'), new_vars) <- evalForPair $ promotePat pat
-  (rhs, ann_exp) <- lambdaBind new_vars $ promoteExp exp
-  return $ ( DTySynEqn Nothing (pro_case_fun `DAppT` ty) rhs
-           , ADMatch new_vars pat' ann_exp)
-
--- promotes a term pattern into a type pattern, accumulating bound variable names
-promotePat :: DPat -> QWithAux VarPromotions PrM (DType, ADPat)
-promotePat (DLitP lit) = (, ADLitP lit) <$> promoteLitPat lit
-promotePat (DVarP name) = do
-      -- term vars can be symbols... type vars can't!
-  tyName <- mkTyName name
-  tell $ [(name, tyName)]
-  return (DVarT tyName, ADVarP name)
-promotePat (DConP name tys pats) = do
-  opts <- getOptions
-  kis <- traverse (promoteType_options conOptions) tys
-  (types, pats') <- mapAndUnzipM promotePat pats
-  let name' = promotedDataTypeOrConName opts name
-  return (foldType (foldl DAppKindT (DConT name') kis) types, ADConP name kis pats')
-  where
-    -- Currently, visible type patterns of data constructors are the one place
-    -- in `singletons-th` where it makes sense to promote wildcard types, as it
-    -- will produce code that GHC will accept.
-    conOptions :: PromoteTypeOptions
-    conOptions = defaultPromoteTypeOptions{ptoAllowWildcards = True}
-promotePat (DTildeP pat) = do
-  qReportWarning "Lazy pattern converted into regular pattern in promotion"
-  second ADTildeP <$> promotePat pat
-promotePat (DBangP pat) = do
-  qReportWarning "Strict pattern converted into regular pattern in promotion"
-  second ADBangP <$> promotePat pat
-promotePat (DSigP pat ty) = do
-  -- We must maintain the invariant that any promoted pattern signature must
-  -- not have any wildcards in the underlying pattern.
-  -- See Note [Singling pattern signatures].
-  wildless_pat <- removeWilds pat
-  (promoted, pat') <- promotePat wildless_pat
-  ki <- promoteType ty
-  return (DSigT promoted ki, ADSigP promoted pat' ki)
-promotePat DWildP = return (DWildCardT, ADWildP)
-
-promoteExp :: DExp -> PrM (DType, ADExp)
-promoteExp (DVarE name) = fmap (, ADVarE name) $ lookupVarE name
-promoteExp (DConE name) = do
-  opts <- getOptions
-  return (DConT $ defunctionalizedName0 opts name, ADConE name)
-promoteExp (DLitE lit)  = fmap (, ADLitE lit) $ promoteLitExp lit
-promoteExp (DAppE exp1 exp2) = do
-  (exp1', ann_exp1) <- promoteExp exp1
-  (exp2', ann_exp2) <- promoteExp exp2
-  return (apply exp1' exp2', ADAppE ann_exp1 ann_exp2)
--- Until we get visible kind applications, this is the best we can do.
-promoteExp (DAppTypeE exp _) = do
-  qReportWarning "Visible type applications are ignored by `singletons-th`."
-  promoteExp exp
-promoteExp (DLamE names exp) = do
-  opts <- getOptions
-  lambdaName <- newUniqueName "Lambda"
-  tyNames <- mapM mkTyName names
-  let var_proms = zip names tyNames
-  (rhs, ann_exp) <- lambdaBind var_proms $ promoteExp exp
-  all_locals <- allLocals
-  let all_args = all_locals ++ tyNames
-      tvbs     = map (`DPlainTV` ()) all_args
-  emitDecs [DClosedTypeFamilyD (DTypeFamilyHead
-                                 lambdaName
-                                 tvbs
-                                 DNoSig
-                                 Nothing)
-                               [DTySynEqn Nothing
-                                          (foldType (DConT lambdaName) $
-                                           map DVarT all_args)
-                                          rhs]]
-  emitDecsM $ defunctionalize lambdaName Nothing $ DefunNoSAK tvbs Nothing
-  let promLambda = foldApply (DConT (defunctionalizedName opts lambdaName 0))
-                             (map DVarT all_locals)
-  return (promLambda, ADLamE tyNames promLambda names ann_exp)
-promoteExp (DCaseE exp matches) = do
-  caseTFName <- newUniqueName "Case"
-  all_locals <- allLocals
-  let prom_case = foldType (DConT caseTFName) (map DVarT all_locals)
-  (exp', ann_exp)     <- promoteExp exp
-  (eqns, ann_matches) <- mapAndUnzipM (promoteMatch prom_case) matches
-  tyvarName  <- qNewName "t"
-  let all_args = all_locals ++ [tyvarName]
-      tvbs     = map (`DPlainTV` ()) all_args
-  emitDecs [DClosedTypeFamilyD (DTypeFamilyHead caseTFName tvbs DNoSig Nothing) eqns]
-    -- See Note [Annotate case return type] in Single
-  let applied_case = prom_case `DAppT` exp'
-  return ( applied_case
-         , ADCaseE ann_exp ann_matches applied_case )
-promoteExp (DLetE decs exp) = do
-  unique <- qNewUnique
-  (binds, ann_env) <- promoteLetDecs (Just unique) decs
-  (exp', ann_exp) <- letBind binds $ promoteExp exp
-  return (exp', ADLetE ann_env ann_exp)
-promoteExp (DSigE exp ty) = do
-  (exp', ann_exp) <- promoteExp exp
-  ty' <- promoteType ty
-  return (DSigT exp' ty', ADSigE exp' ann_exp ty')
-promoteExp e@(DStaticE _) = fail ("Static expressions cannot be promoted: " ++ show e)
-
-promoteLitExp :: OptionsMonad q => Lit -> q DType
-promoteLitExp (IntegerL n) = do
-  opts <- getOptions
-  let tyFromIntegerName = promotedValueName opts fromIntegerName Nothing
-      tyNegateName      = promotedValueName opts negateName      Nothing
-  if n >= 0
-     then return $ (DConT tyFromIntegerName `DAppT` DLitT (NumTyLit n))
-     else return $ (DConT tyNegateName `DAppT`
-                    (DConT tyFromIntegerName `DAppT` DLitT (NumTyLit (-n))))
-promoteLitExp (StringL str) = do
-  opts <- getOptions
-  let prom_str_lit = DLitT (StrTyLit str)
-  os_enabled <- qIsExtEnabled LangExt.OverloadedStrings
-  pure $ if os_enabled
-         then DConT (promotedValueName opts fromStringName Nothing) `DAppT` prom_str_lit
-         else prom_str_lit
-promoteLitExp (CharL c) = return $ DLitT (CharTyLit c)
-promoteLitExp lit =
-  fail ("Only string, natural number, and character literals can be promoted: " ++ show lit)
-
-promoteLitPat :: MonadFail m => Lit -> m DType
-promoteLitPat (IntegerL n)
-  | n >= 0    = return $ (DLitT (NumTyLit n))
-  | otherwise =
-    fail $ "Negative literal patterns are not allowed,\n" ++
-           "because literal patterns are promoted to natural numbers."
-promoteLitPat (StringL str) = return $ DLitT (StrTyLit str)
-promoteLitPat (CharL c) = return $ DLitT (CharTyLit c)
-promoteLitPat lit =
-  fail ("Only string, natural number, and character literals can be promoted: " ++ show lit)
+{- Data/Singletons/TH/Promote.hs++(c) Richard Eisenberg 2013+rae@cs.brynmawr.edu++This file contains functions to promote term-level constructs to the+type level. It is an internal module to the singletons-th package.+-}++module Data.Singletons.TH.Promote where++import Language.Haskell.TH hiding ( Q, cxt )+import Language.Haskell.TH.Syntax ( NameSpace(..), Quasi(..), Uniq )+import Language.Haskell.TH.Desugar+import qualified Language.Haskell.TH.Desugar.OMap.Strict as OMap+import Language.Haskell.TH.Desugar.OMap.Strict (OMap)+import qualified Language.Haskell.TH.Desugar.OSet as OSet+import Data.Singletons.TH.Deriving.Bounded+import Data.Singletons.TH.Deriving.Enum+import Data.Singletons.TH.Deriving.Eq+import Data.Singletons.TH.Deriving.Ord+import Data.Singletons.TH.Deriving.Show+import Data.Singletons.TH.Deriving.Util+import Data.Singletons.TH.Names+import Data.Singletons.TH.Options+import Data.Singletons.TH.Partition+import Data.Singletons.TH.Promote.Defun+import Data.Singletons.TH.Promote.Monad+import Data.Singletons.TH.Promote.Type+import Data.Singletons.TH.Syntax+import Data.Singletons.TH.Util+import Prelude hiding (exp)+import Control.Applicative (Alternative(..))+import Control.Arrow (second)+import Control.Monad+import Control.Monad.Trans.Maybe+import Control.Monad.Writer+import Data.List (nub)+import qualified Data.Map.Strict as Map+import Data.Map.Strict ( Map )+import Data.Maybe+import qualified GHC.LanguageExtensions.Type as LangExt++{-+Note [Disable genQuotedDecs in genPromotions and genSingletons]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+Somewhat curiously, the genPromotions and genSingletons functions set the+genQuotedDecs option to False, despite neither function accepting quoted+declarations as arguments in the first place. There is a good reason for doing+this, however. Imagine this code:++  class C a where+    infixl 9 <%%>+    (<%%>) :: a -> a -> a+  $(genPromotions [''C])++If genQuotedDecs is set to True, then the (<%%>) type family will not receive+a fixity declaration (see+Note [singletons-th and fixity declarations] in D.S.TH.Single.Fixity, wrinkle 1 for+more details on this point). Therefore, we set genQuotedDecs to False to avoid+this problem.+-}++-- | Generate promoted definitions for each of the provided type-level+-- declaration 'Name's. This is generally only useful with classes.+genPromotions :: OptionsMonad q => [Name] -> q [Dec]+genPromotions names = do+  opts <- getOptions+  -- See Note [Disable genQuotedDecs in genPromotions and genSingletons]+  withOptions opts{genQuotedDecs = False} $ do+    checkForRep names+    infos <- mapM reifyWithLocals names+    dinfos <- mapM dsInfo infos+    ddecs <- promoteM_ [] $ mapM_ promoteInfo dinfos+    return $ decsToTH ddecs++-- | Promote every declaration given to the type level, retaining the originals.+-- See the+-- @<https://github.com/goldfirere/singletons/blob/master/README.md README>@+-- for further explanation.+promote :: OptionsMonad q => q [Dec] -> q [Dec]+promote qdecs = do+  opts <- getOptions+  withOptions opts{genQuotedDecs = True} $ promote' $ lift qdecs++-- | Promote each declaration, discarding the originals. Note that a promoted+-- datatype uses the same definition as an original datatype, so this will+-- not work with datatypes. Classes, instances, and functions are all fine.+promoteOnly :: OptionsMonad q => q [Dec] -> q [Dec]+promoteOnly qdecs = do+  opts <- getOptions+  withOptions opts{genQuotedDecs = False} $ promote' $ lift qdecs++-- The workhorse for 'promote' and 'promoteOnly'. The difference between the+-- two functions is whether 'genQuotedDecs' is set to 'True' or 'False'.+promote' :: OptionsMonad q => q [Dec] -> q [Dec]+promote' qdecs = do+  opts     <- getOptions+  decs     <- qdecs+  ddecs    <- withLocalDeclarations decs $ dsDecs decs+  promDecs <- promoteM_ decs $ promoteDecs ddecs+  let origDecs | genQuotedDecs opts = decs+               | otherwise          = []+  return $ origDecs ++ decsToTH promDecs++-- | Generate defunctionalization symbols for each of the provided type-level+-- declaration 'Name's. See the "Promotion and partial application" section of+-- the @singletons@+-- @<https://github.com/goldfirere/singletons/blob/master/README.md README>@+-- for further explanation.+genDefunSymbols :: OptionsMonad q => [Name] -> q [Dec]+genDefunSymbols names = do+  checkForRep names+  infos <- mapM (dsInfo <=< reifyWithLocals) names+  decs <- promoteMDecs [] $ concatMapM defunInfo infos+  return $ decsToTH decs++-- | Produce instances for @PEq@ from the given types+promoteEqInstances :: OptionsMonad q => [Name] -> q [Dec]+promoteEqInstances = concatMapM promoteEqInstance++-- | Produce an instance for @PEq@ from the given type+promoteEqInstance :: OptionsMonad q => Name -> q [Dec]+promoteEqInstance = promoteInstance mkEqInstance "Eq"++-- | Produce instances for 'POrd' from the given types+promoteOrdInstances :: OptionsMonad q => [Name] -> q [Dec]+promoteOrdInstances = concatMapM promoteOrdInstance++-- | Produce an instance for 'POrd' from the given type+promoteOrdInstance :: OptionsMonad q => Name -> q [Dec]+promoteOrdInstance = promoteInstance mkOrdInstance "Ord"++-- | Produce instances for 'PBounded' from the given types+promoteBoundedInstances :: OptionsMonad q => [Name] -> q [Dec]+promoteBoundedInstances = concatMapM promoteBoundedInstance++-- | Produce an instance for 'PBounded' from the given type+promoteBoundedInstance :: OptionsMonad q => Name -> q [Dec]+promoteBoundedInstance = promoteInstance mkBoundedInstance "Bounded"++-- | Produce instances for 'PEnum' from the given types+promoteEnumInstances :: OptionsMonad q => [Name] -> q [Dec]+promoteEnumInstances = concatMapM promoteEnumInstance++-- | Produce an instance for 'PEnum' from the given type+promoteEnumInstance :: OptionsMonad q => Name -> q [Dec]+promoteEnumInstance = promoteInstance mkEnumInstance "Enum"++-- | Produce instances for 'PShow' from the given types+promoteShowInstances :: OptionsMonad q => [Name] -> q [Dec]+promoteShowInstances = concatMapM promoteShowInstance++-- | Produce an instance for 'PShow' from the given type+promoteShowInstance :: OptionsMonad q => Name -> q [Dec]+promoteShowInstance = promoteInstance mkShowInstance "Show"++promoteInstance :: OptionsMonad q => DerivDesc q -> String -> Name -> q [Dec]+promoteInstance mk_inst class_name name = do+  (df, tvbs, cons) <- getDataD ("I cannot make an instance of " ++ class_name+                                ++ " for it.") name+  tvbs' <- mapM dsTvbVis tvbs+  let data_ty   = foldTypeTvbs (DConT name) tvbs'+  cons' <- concatMapM (dsCon tvbs' data_ty) cons+  let data_decl = DataDecl df name tvbs' cons'+  raw_inst <- mk_inst Nothing data_ty data_decl+  decs <- promoteM_ [] $ void $+          promoteInstanceDec OMap.empty Map.empty raw_inst+  return $ decsToTH decs++promoteInfo :: DInfo -> PrM ()+promoteInfo (DTyConI dec _instances) = promoteDecs [dec]+promoteInfo (DPrimTyConI _name _numArgs _unlifted) =+  fail "Promotion of primitive type constructors not supported"+promoteInfo (DVarI _name _ty _mdec) =+  fail "Promotion of individual values not supported"+promoteInfo (DTyVarI _name _ty) =+  fail "Promotion of individual type variables not supported"+promoteInfo (DPatSynI {}) =+  fail "Promotion of pattern synonyms not supported"++-- Promote a list of top-level declarations.+promoteDecs :: [DDec] -> PrM ()+promoteDecs raw_decls = do+  decls <- expand raw_decls     -- expand type synonyms+  checkForRepInDecls decls+  PDecs { pd_let_decs                = let_decs+        , pd_class_decs              = classes+        , pd_instance_decs           = insts+        , pd_data_decs               = datas+        , pd_ty_syn_decs             = ty_syns+        , pd_open_type_family_decs   = o_tyfams+        , pd_closed_type_family_decs = c_tyfams } <- partitionDecs decls++  defunTopLevelTypeDecls ty_syns c_tyfams o_tyfams+  rec_sel_let_decs <- promoteDataDecs datas+    -- promoteLetDecs returns LetBinds, which we don't need at top level+  _ <- promoteLetDecs Nothing $ rec_sel_let_decs ++ let_decs+  mapM_ promoteClassDec classes+  let orig_meth_sigs = foldMap (lde_types . cd_lde) classes+      cls_tvbs_map   = Map.fromList $ map (\cd -> (cd_name cd, cd_tvbs cd)) classes+  mapM_ (promoteInstanceDec orig_meth_sigs cls_tvbs_map) insts++-- curious about ALetDecEnv? See the LetDecEnv module for an explanation.+promoteLetDecs :: Maybe Uniq -- let-binding unique (if locally bound)+               -> [DLetDec] -> PrM ([LetBind], ALetDecEnv)+promoteLetDecs mb_let_uniq decls = do+  opts <- getOptions+  let_dec_env <- buildLetDecEnv decls+  all_locals <- allLocals+  let binds = [ (name, foldType (DConT sym) (map DVarT all_locals))+              | (name, _) <- OMap.assocs $ lde_defns let_dec_env+              , let proName = promotedValueName opts name mb_let_uniq+                    sym = defunctionalizedName opts proName (length all_locals) ]+  (decs, let_dec_env') <- letBind binds $ promoteLetDecEnv mb_let_uniq let_dec_env+  emitDecs decs+  return (binds, let_dec_env' { lde_proms = OMap.fromList binds })++promoteDataDecs :: [DataDecl] -> PrM [DLetDec]+promoteDataDecs = concatMapM promoteDataDec++-- "Promotes" a data type, much like D.S.TH.Single.Data.singDataD singles a data+-- type. Promoting a data type is much easier than singling it, however, since+-- DataKinds automatically promotes data types and kinds and data constructors+-- to types. That means that promoteDataDec only has to do three things:+--+-- 1. Emit defunctionalization symbols for each data constructor,+--+-- 2. Emit promoted fixity declarations for each data constructor and promoted+--    record selector (assuming the originals have fixity declarations), and+--+-- 3. Assemble a top-level function that mimics the behavior of its record+--    selectors. Note that promoteDataDec does not actually promote this record+--    selector function—it merely returns its DLetDecs. Later, the promoteDecs+--    function takes these DLetDecs and promotes them (using promoteLetDecs).+--    This greatly simplifies the plumbing, since this allows all DLetDecs to+--    be promoted in a single location.+--    See Note [singletons-th and record selectors] in D.S.TH.Single.Data.+--+-- Note that if @NoFieldSelectors@ is active, then neither steps (2) nor (3)+-- will promote any records to top-level field selectors.+promoteDataDec :: DataDecl -> PrM [DLetDec]+promoteDataDec (DataDecl _ _ _ ctors) = do+  let rec_sel_names = nub $ concatMap extractRecSelNames ctors+                      -- Note the use of nub: the same record selector name can+                      -- be used in multiple constructors!+  fld_sels         <- qIsExtEnabled LangExt.FieldSelectors+  rec_sel_let_decs <- if fld_sels then getRecordSelectors ctors else pure []+  ctorSyms         <- buildDefunSymsDataD ctors+  -- NB: If NoFieldSelectors is active, then promoteReifiedInfixDecls will not+  -- promote any of `rec_sel_names` to field selectors, so there is no need to+  -- check for it here.+  infix_decs       <- promoteReifiedInfixDecls rec_sel_names+  emitDecs $ ctorSyms ++ infix_decs+  pure rec_sel_let_decs++promoteClassDec :: UClassDecl -> PrM AClassDecl+promoteClassDec decl@(ClassDecl { cd_name = cls_name+                                , cd_tvbs = tvbs+                                , cd_fds  = fundeps+                                , cd_atfs = atfs+                                , cd_lde  = lde@LetDecEnv+                                    { lde_defns = defaults+                                    , lde_types = meth_sigs+                                    , lde_infix = infix_decls } }) = do+  opts <- getOptions+  let pClsName       = promotedClassName opts cls_name+      meth_sigs_list = OMap.assocs meth_sigs+      meth_names     = map fst meth_sigs_list+      defaults_list  = OMap.assocs defaults+      defaults_names = map fst defaults_list+  mb_cls_sak <- dsReifyType cls_name+  sig_decs <- mapM (uncurry promote_sig) meth_sigs_list+  (default_decs, ann_rhss, prom_rhss)+    <- mapAndUnzip3M (promoteMethod DefaultMethods meth_sigs) defaults_list+  defunAssociatedTypeFamilies tvbs atfs++  infix_decls' <- mapMaybeM (uncurry (promoteInfixDecl Nothing)) $+                  OMap.assocs infix_decls+  cls_infix_decls <- promoteReifiedInfixDecls $ cls_name:meth_names++  -- no need to do anything to the fundeps. They work as is!+  let pro_cls_dec = DClassD [] pClsName tvbs fundeps+                            (sig_decs ++ default_decs ++ infix_decls')+      mb_pro_cls_sak = fmap (DKiSigD pClsName) mb_cls_sak+  emitDecs $ maybeToList mb_pro_cls_sak ++ pro_cls_dec:cls_infix_decls+  let defaults_list' = zip defaults_names ann_rhss+      proms          = zip defaults_names prom_rhss+  return (decl { cd_lde = lde { lde_defns = OMap.fromList defaults_list'+                              , lde_proms = OMap.fromList proms } })+  where+    promote_sig :: Name -> DType -> PrM DDec+    promote_sig name ty = do+      opts <- getOptions+      let proName = promotedTopLevelValueName opts name+      -- When computing the kind to use for the defunctionalization symbols,+      -- /don't/ use the type variable binders from the method's type...+      (_, argKs, resK) <- promoteUnraveled ty+      args <- mapM (const $ qNewName "arg") argKs+      let proTvbs = zipWith (`DKindedTV` BndrReq) args argKs+      -- ...instead, compute the type variable binders in a left-to-right order,+      -- since that is the same order that the promoted method's kind will use.+      -- See Note [Promoted class methods and kind variable ordering]+          meth_sak_tvbs = changeDTVFlags SpecifiedSpec $+                          toposortTyVarsOf $ argKs ++ [resK]+          meth_sak      = ravelVanillaDType meth_sak_tvbs [] argKs resK+      m_fixity <- reifyFixityWithLocals name+      emitDecsM $ defunctionalize proName m_fixity $ DefunSAK meth_sak++      return $ DOpenTypeFamilyD (DTypeFamilyHead proName+                                                 proTvbs+                                                 (DKindSig resK)+                                                 Nothing)++{-+Note [Promoted class methods and kind variable ordering]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+In general, we make an effort to preserve the order of type variables when+promoting type signatures, but there is an annoying corner case where this is+difficult: class methods. When promoting class methods, the order of kind+variables in their kinds will often "just work" by happy coincidence, but+there are some situations where this does not happen. Consider the following+class:++  class C (b :: Type) where+    m :: forall a. a -> b -> a++The full type of `m` is `forall b. C b => forall a. a -> b -> a`, which binds+`b` before `a`. This order is preserved when singling `m`, but *not* when+promoting `m`. This is because the `C` class is promoted as follows:++  class PC (b :: Type) where+    type M (x :: a) (y :: b) :: a++Due to the way GHC kind-checks associated type families, the kind of `M` is+`forall a b. a -> b -> a`, which binds `b` *after* `a`. Moreover, the+`StandaloneKindSignatures` extension does not provide a way to explicitly+declare the full kind of an associated type family, so this limitation is+not easy to work around.++The defunctionalization symbols for `M` will also follow a similar+order of type variables:++  type MSym0 :: forall a b. a ~> b ~> a+  type MSym1 :: forall a b. a -> b ~> a++There is one potential hack we could use to rectify this:++  type FlipConst x y = y+  class PC (b :: Type) where+    type M (x :: FlipConst '(b, a) a) (y :: b) :: a++Using `FlipConst` would cause `b` to be mentioned before `a`, which would give+`M` the kind `forall b a. FlipConst '(b, a) a -> b -> a`. While the order of+type variables would be preserved, the downside is that the ugly `FlipConst`+type synonym leaks into the kind. I'm not particularly fond of this, so I have+decided not to use this hack unless someone specifically requests it.+-}++-- returns (unpromoted method name, ALetDecRHS) pairs+promoteInstanceDec :: OMap Name DType+                      -- Class method type signatures+                   -> Map Name [DTyVarBndrVis]+                      -- Class header type variable (e.g., if `class C a b` is+                      -- quoted, then this will have an entry for {C |-> [a, b]})+                   -> UInstDecl -> PrM AInstDecl+promoteInstanceDec orig_meth_sigs cls_tvbs_map+                   decl@(InstDecl { id_name     = cls_name+                                  , id_arg_tys  = inst_tys+                                  , id_sigs     = inst_sigs+                                  , id_meths    = meths }) = do+  opts <- getOptions+  cls_tvbs <- lookup_cls_tvbs+  inst_kis <- mapM promoteType inst_tys+  let pClsName      = promotedClassName opts cls_name+      cls_tvb_names = map extractTvbName cls_tvbs+      subst         = Map.fromList $ zip cls_tvb_names inst_kis+      meth_impl     = InstanceMethods inst_sigs subst+  (meths', ann_rhss, _)+    <- mapAndUnzip3M (promoteMethod meth_impl orig_meth_sigs) meths+  emitDecs [DInstanceD Nothing Nothing [] (foldType (DConT pClsName)+                                            inst_kis) meths']+  return (decl { id_meths = zip (map fst meths) ann_rhss })+  where+    lookup_cls_tvbs :: PrM [DTyVarBndrVis]+    lookup_cls_tvbs =+      -- First, try consulting the map of class names to their type variables.+      -- It is important to do this first to ensure that we consider locally+      -- declared classes before imported ones. See #410 for what happens if+      -- you don't.+      case Map.lookup cls_name cls_tvbs_map of+        Just tvbs -> pure tvbs+        Nothing   -> reify_cls_tvbs+          -- If the class isn't present in this map, we try reifying the class+          -- as a last resort.++    reify_cls_tvbs :: PrM [DTyVarBndrVis]+    reify_cls_tvbs = do+      opts <- getOptions+      let pClsName = promotedClassName opts cls_name+          mk_tvbs  = extract_tvbs (dsReifyTypeNameInfo pClsName)+                 <|> extract_tvbs (dsReifyTypeNameInfo cls_name)+                      -- See Note [Using dsReifyTypeNameInfo when promoting instances]+      mb_tvbs <- runMaybeT mk_tvbs+      case mb_tvbs of+        Just tvbs -> pure tvbs+        Nothing -> fail $ "Cannot find class declaration annotation for " ++ show cls_name++    extract_tvbs :: PrM (Maybe DInfo) -> MaybeT PrM [DTyVarBndrVis]+    extract_tvbs reify_info = do+      mb_info <- lift reify_info+      case mb_info of+        Just (DTyConI (DClassD _ _ tvbs _ _) _) -> pure tvbs+        _                                       -> empty++{-+Note [Using dsReifyTypeNameInfo when promoting instances]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+During the promotion of a class instance, it becomes necessary to reify the+original promoted class's info to learn various things. It's tempting to think+that just calling dsReify on the class name will be sufficient, but it's not.+Consider this class and its promotion:++  class Eq a where+    (==) :: a -> a -> Bool++  class PEq a where+    type (==) (x :: a) (y :: a) :: Bool++Notice how both of these classes have an identifier named (==), one at the+value level, and one at the type level. Now imagine what happens when you+attempt to promote this Template Haskell declaration:++   [d| f :: Bool+       f = () == () |]++When promoting ==, singletons-th will come up with its promoted equivalent (which also+happens to be ==). However, this promoted name is a raw Name, since it is created+with mkName. This becomes an issue when we call dsReify the raw "==" Name, as+Template Haskell has to arbitrarily choose between reifying the info for the+value-level (==) and the type-level (==), and in this case, it happens to pick the+value-level (==) info. We want the type-level (==) info, however, because we care+about the promoted version of (==).++Fortunately, there's a serviceable workaround. Instead of dsReify, we can use+dsReifyTypeNameInfo, which first calls lookupTypeName (to ensure we can find a Name+that's in the type namespace) and _then_ reifies it.+-}++-- Which sort of class methods are being promoted?+data MethodSort+    -- The method defaults in class declarations.+  = DefaultMethods+    -- The methods in instance declarations.+  | InstanceMethods (OMap Name DType) -- ^ InstanceSigs+                    (Map Name DKind)  -- ^ Instantiations for class tyvars+                                      --   See Note [Promoted class method kinds]+  deriving Show++promoteMethod :: MethodSort+              -> OMap Name DType    -- method types+              -> (Name, ULetDecRHS)+              -> PrM (DDec, ALetDecRHS, DType)+                 -- returns (type instance, ALetDecRHS, promoted RHS)+promoteMethod meth_sort orig_sigs_map (meth_name, meth_rhs) = do+  opts <- getOptions+  (meth_arg_kis, meth_res_ki) <- promote_meth_ty+  meth_arg_tvs <- replicateM (length meth_arg_kis) (qNewName "a")+  let proName = promotedTopLevelValueName opts meth_name+      helperNameBase = case nameBase proName of+                         first:_ | not (isHsLetter first) -> "TFHelper"+                         alpha                            -> alpha++      -- family_args are the type variables in a promoted class's+      -- associated type family instance (or default implementation), e.g.,+      --+      --   class C k where+      --     type T (a :: k) (b :: Bool)+      --     type T a b = THelper1 a b        -- family_args = [a, b]+      --+      --   instance C Bool where+      --     type T a b = THelper2 a b        -- family_args = [a, b]+      --+      -- We could annotate these variables with explicit kinds, but it's not+      -- strictly necessary, as kind inference can figure them out just as well.+      family_args = map DVarT meth_arg_tvs+  helperName <- newUniqueName helperNameBase+  let helperDefunName = defunctionalizedName0 opts helperName+  (pro_decs, defun_decs, ann_rhs)+    <- promoteLetDecRHS (ClassMethodRHS meth_arg_kis meth_res_ki)+                        OMap.empty OMap.empty+                        Nothing helperName meth_rhs+  emitDecs (pro_decs ++ defun_decs)+  return ( DTySynInstD+             (DTySynEqn Nothing+                        (foldType (DConT proName) family_args)+                        (foldApply (DConT helperDefunName) (map DVarT meth_arg_tvs)))+         , ann_rhs+         , DConT helperDefunName )+  where+    -- Promote the type of a class method. For a default method, "the type" is+    -- simply the type of the original method. For an instance method,+    -- "the type" is like the type of the original method, but substituted for+    -- the types in the instance head. (e.g., if you have `class C a` and+    -- `instance C T`, then the substitution [a |-> T] must be applied to the+    -- original method's type.)+    promote_meth_ty :: PrM ([DKind], DKind)+    promote_meth_ty =+      case meth_sort of+        DefaultMethods ->+          -- No substitution for class variables is required for default+          -- method type signatures, as they share type variables with the+          -- class they inhabit.+          lookup_meth_ty+        InstanceMethods inst_sigs_map cls_subst ->+          case OMap.lookup meth_name inst_sigs_map of+            Just ty -> do+              -- We have an InstanceSig. These are easy: we can just use the+              -- instance signature's type directly, and no substitution for+              -- class variables is required.+              (_tvbs, arg_kis, res_ki) <- promoteUnraveled ty+              pure (arg_kis, res_ki)+            Nothing -> do+              -- We don't have an InstanceSig, so we must compute the kind to use+              -- ourselves.+              (arg_kis, res_ki) <- lookup_meth_ty+              -- Substitute for the class variables in the method's type.+              -- See Note [Promoted class method kinds]+              let arg_kis' = map (substKind cls_subst) arg_kis+                  res_ki'  = substKind cls_subst res_ki+              pure (arg_kis', res_ki')++    -- Attempt to look up a class method's original type.+    lookup_meth_ty :: PrM ([DKind], DKind)+    lookup_meth_ty = do+      opts <- getOptions+      let proName = promotedTopLevelValueName opts meth_name+      case OMap.lookup meth_name orig_sigs_map of+        Just ty -> do+          -- The type of the method is in scope, so promote that.+          (_tvbs, arg_kis, res_ki) <- promoteUnraveled ty+          pure (arg_kis, res_ki)+        Nothing -> do+          -- If the type of the method is not in scope, the only other option+          -- is to try reifying the promoted method name.+          mb_info <- dsReifyTypeNameInfo proName+                     -- See Note [Using dsReifyTypeNameInfo when promoting instances]+          case mb_info of+            Just (DTyConI (DOpenTypeFamilyD (DTypeFamilyHead _ tvbs mb_res_ki _)) _)+              -> let arg_kis = map (defaultMaybeToTypeKind . extractTvbKind) tvbs+                     res_ki  = defaultMaybeToTypeKind (resultSigToMaybeKind mb_res_ki)+                  in pure (arg_kis, res_ki)+            _ -> fail $ "Cannot find type annotation for " ++ show proName++{-+Note [Promoted class method kinds]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+Consider this example of a type class (and instance):++  class C a where+    m :: a -> Bool -> Bool+    m _ x = x++  instance C [a] where+    m l _ = null l++The promoted version of these declarations would be:++  class PC a where+    type M (x :: a) (y :: Bool) :: Bool+    type M x y = MHelper1 x y++  instance PC [a] where+    type M x y = MHelper2 x y++  type MHelper1 :: a -> Bool -> Bool+  type family MHelper1 x y where ...++  type MHelper2 :: [a] -> Bool -> Bool+  type family MHelper2 x y where ...++Getting the kind signature for MHelper1 (the promoted default implementation of+M) is quite simple, as it corresponds exactly to the kind of M. We might even+choose to make that the kind of MHelper2, but then it would be overly general+(and more difficult to find in -ddump-splices output). For this reason, we+substitute in the kinds of the instance itself to determine the kinds of+promoted method implementations like MHelper2.+-}++promoteLetDecEnv :: Maybe Uniq -> ULetDecEnv -> PrM ([DDec], ALetDecEnv)+promoteLetDecEnv mb_let_uniq (LetDecEnv { lde_defns = value_env+                                        , lde_types = type_env+                                        , lde_infix = fix_env }) = do+  infix_decls <- mapMaybeM (uncurry (promoteInfixDecl mb_let_uniq)) $+                 OMap.assocs fix_env++    -- promote all the declarations, producing annotated declarations+  let (names, rhss) = unzip $ OMap.assocs value_env+  (pro_decs, defun_decss, ann_rhss)+    <- fmap unzip3 $+       zipWithM (promoteLetDecRHS LetBindingRHS type_env fix_env mb_let_uniq)+                names rhss++  emitDecs $ concat defun_decss+  let decs = concat pro_decs ++ infix_decls++    -- build the ALetDecEnv+  let let_dec_env' = LetDecEnv { lde_defns     = OMap.fromList $ zip names ann_rhss+                               , lde_types     = type_env+                               , lde_infix     = fix_env+                               , lde_proms     = OMap.empty  -- filled in promoteLetDecs+                               }++  return (decs, let_dec_env')++-- Promote a fixity declaration.+promoteInfixDecl :: forall q. OptionsMonad q+                 => Maybe Uniq -> Name -> Fixity -> q (Maybe DDec)+promoteInfixDecl mb_let_uniq name fixity = do+  opts <- getOptions+  fld_sels <- qIsExtEnabled LangExt.FieldSelectors+  mb_ns <- reifyNameSpace name+  case mb_ns of+    -- If we can't find the Name for some odd reason, fall back to promote_val+    Nothing          -> promote_val+    Just VarName     -> promote_val+    Just (FldName _)+      | fld_sels     -> promote_val+      | otherwise    -> never_mind+    Just DataName    -> never_mind+    Just TcClsName   -> do+      mb_info <- dsReify name+      case mb_info of+        Just (DTyConI DClassD{} _)+          -> finish $ promotedClassName opts name+        _ -> never_mind+  where+    -- Produce the fixity declaration.+    finish :: Name -> q (Maybe DDec)+    finish = pure . Just . DLetDec . DInfixD fixity++    -- Don't produce a fixity declaration at all. This can happen in the+    -- following circumstances:+    --+    -- - When promoting a fixity declaration for a name whose promoted+    --   counterpart is the same as the original name.+    --   See Note [singletons-th and fixity declarations] in+    --   D.S.TH.Single.Fixity, wrinkle 1.+    --+    -- - A fixity declaration contains the name of a record selector when+    --   NoFieldSelectors is active.+    never_mind :: q (Maybe DDec)+    never_mind = pure Nothing++    -- Certain value names do not change when promoted (e.g., infix names).+    -- Therefore, don't bother promoting their fixity declarations if+    -- 'genQuotedDecs' is set to 'True', since that will run the risk of+    -- generating duplicate fixity declarations.+    -- See Note [singletons-th and fixity declarations] in D.S.TH.Single.Fixity, wrinkle 1.+    promote_val :: q (Maybe DDec)+    promote_val = do+      opts <- getOptions+      let promoted_name :: Name+          promoted_name = promotedValueName opts name mb_let_uniq+      if nameBase name == nameBase promoted_name && genQuotedDecs opts+         then never_mind+         else finish promoted_name++-- Try producing promoted fixity declarations for Names by reifying them+-- /without/ consulting quoted declarations. If reification fails, recover and+-- return the empty list.+-- See [singletons-th and fixity declarations] in D.S.TH.Single.Fixity, wrinkle 2.+promoteReifiedInfixDecls :: forall q. OptionsMonad q => [Name] -> q [DDec]+promoteReifiedInfixDecls = mapMaybeM tryPromoteFixityDeclaration+  where+    tryPromoteFixityDeclaration :: Name -> q (Maybe DDec)+    tryPromoteFixityDeclaration name =+      qRecover (return Nothing) $ do+        mFixity <- qReifyFixity name+        case mFixity of+          Nothing     -> pure Nothing+          Just fixity -> promoteInfixDecl Nothing name fixity++-- Which sort of let-bound declaration's right-hand side is being promoted?+data LetDecRHSSort+    -- An ordinary (i.e., non-class-related) let-bound declaration.+  = LetBindingRHS+    -- The right-hand side of a class method (either a default method or a+    -- method in an instance declaration).+  | ClassMethodRHS+      [DKind] DKind+      -- The RHS's promoted argument and result types. Needed to fix #136.+  deriving Show++-- This function is used both to promote class method defaults and normal+-- let bindings. Thus, it can't quite do all the work locally and returns+-- an intermediate structure. Perhaps a better design is available.+promoteLetDecRHS :: LetDecRHSSort+                 -> OMap Name DType      -- local type env't+                 -> OMap Name Fixity     -- local fixity env't+                 -> Maybe Uniq           -- let-binding unique (if locally bound)+                 -> Name                 -- name of the thing being promoted+                 -> ULetDecRHS           -- body of the thing+                 -> PrM ( [DDec]        -- promoted type family dec, plus the+                                        -- SAK dec (if one exists)+                        , [DDec]        -- defunctionalization+                        , ALetDecRHS )  -- annotated RHS+promoteLetDecRHS rhs_sort type_env fix_env mb_let_uniq name let_dec_rhs = do+  all_locals <- allLocals+  case let_dec_rhs of+    UValue exp -> do+      (m_ldrki, ty_num_args) <- promote_let_dec_ty all_locals 0+      if ty_num_args == 0+      then do+        prom_fun_lhs <- promoteLetDecName mb_let_uniq name m_ldrki all_locals+        promote_let_dec_rhs all_locals m_ldrki 0 (promoteExp exp)+                            (\exp' -> [DTySynEqn Nothing prom_fun_lhs exp'])+                            AValue+      else+        -- If we have a UValue with a function type, process it as though it+        -- were a UFunction. promote_function_rhs will take care of+        -- eta-expanding arguments as necessary.+        promote_function_rhs all_locals [DClause [] exp]+    UFunction clauses -> promote_function_rhs all_locals clauses+  where+    -- Promote the RHS of a UFunction (or a UValue with a function type).+    promote_function_rhs :: [Name]+                         -> [DClause] -> PrM ([DDec], [DDec], ALetDecRHS)+    promote_function_rhs all_locals clauses = do+      numArgs <- count_args clauses+      (m_ldrki, ty_num_args) <- promote_let_dec_ty all_locals numArgs+      expClauses <- mapM (etaContractOrExpand ty_num_args numArgs) clauses+      let promote_clause = promoteClause mb_let_uniq name m_ldrki all_locals+      promote_let_dec_rhs all_locals m_ldrki ty_num_args+                          (mapAndUnzipM promote_clause expClauses)+                          id (AFunction ty_num_args)++    -- Promote a UValue or a UFunction.+    -- Notes about type variables:+    --+    -- * For UValues, `prom_a` is DType and `a` is Exp.+    --+    -- * For UFunctions, `prom_a` is [DTySynEqn] and `a` is [DClause].+    promote_let_dec_rhs+      :: [Name]                   -- Local variables bound in this scope+      -> Maybe LetDecRHSKindInfo  -- Information about the promoted kind (if present)+      -> Int                      -- The number of promoted function arguments+      -> PrM (prom_a, a)          -- Promote the RHS+      -> (prom_a -> [DTySynEqn])  -- Turn the promoted RHS into type family equations+      -> (a -> ALetDecRHS)        -- Build an ALetDecRHS+      -> PrM ([DDec], [DDec], ALetDecRHS)+    promote_let_dec_rhs all_locals m_ldrki ty_num_args+                        promote_thing mk_prom_eqns mk_alet_dec_rhs = do+      opts <- getOptions+      tyvarNames <- replicateM ty_num_args (qNewName "a")+      let proName    = promotedValueName opts name mb_let_uniq+          local_tvbs = map (`DPlainTV` BndrReq) all_locals+          m_fixity   = OMap.lookup name fix_env++          mk_tf_head :: [DTyVarBndrVis] -> DFamilyResultSig -> DTypeFamilyHead+          mk_tf_head arg_tvbs res_sig =+            dTypeFamilyHead_with_locals proName all_locals arg_tvbs res_sig++          (lde_kvs_to_bind, m_sak_dec, defun_ki, tf_head) =+              -- There are three possible cases:+            case m_ldrki of+              -- 1. We have no kind information whatsoever.+              Nothing ->+                let arg_tvbs = map (`DPlainTV` BndrReq) tyvarNames in+                ( OSet.empty+                , Nothing+                , DefunNoSAK (local_tvbs ++ arg_tvbs) Nothing+                , mk_tf_head arg_tvbs DNoSig+                )+              -- 2. We have some kind information in the form of a LetDecRHSKindInfo.+              Just (LDRKI m_sak tvbs argKs resK) ->+                let arg_tvbs = zipWith (`DKindedTV` BndrReq) tyvarNames argKs+                    lde_kvs_to_bind' = OSet.fromList (map extractTvbName tvbs) in+                case m_sak of+                  -- 2(a). We do not have a standalone kind signature.+                  Nothing ->+                    ( lde_kvs_to_bind'+                    , Nothing+                    , DefunNoSAK (local_tvbs ++ arg_tvbs) (Just resK)+                    , mk_tf_head arg_tvbs (DKindSig resK)+                    )+                  -- 2(b). We have a standalone kind signature.+                  Just sak ->+                    ( lde_kvs_to_bind'+                    , Just $ DKiSigD proName sak+                    , DefunSAK sak+                      -- We opt to annotate the argument and result kinds in+                      -- the body of the type family declaration even if it is+                      -- given a standalone kind signature.+                      -- See Note [Keep redundant kind information for Haddocks].+                    , mk_tf_head arg_tvbs (DKindSig resK)+                    )++      defun_decs <- defunctionalize proName m_fixity defun_ki+      (prom_thing, thing) <- scopedBind lde_kvs_to_bind promote_thing+      return ( catMaybes [ m_sak_dec+                         , Just $ DClosedTypeFamilyD tf_head (mk_prom_eqns prom_thing)+                         ]+             , defun_decs+             , mk_alet_dec_rhs thing )++    promote_let_dec_ty :: [Name] -- The local variables that the let-dec closes+                                 -- over. If this is non-empty, we cannot+                                 -- produce a standalone kind signature.+                                 -- See Note [No SAKs for let-decs with local variables]+                       -> Int    -- The number of arguments to default to if the+                                 -- type cannot be inferred. This is 0 for UValues+                                 -- and the number of arguments in a single clause+                                 -- for UFunctions.+                       -> PrM (Maybe LetDecRHSKindInfo, Int)+                                 -- Returns two things in a pair:+                                 --+                                 -- 1. Information about the promoted kind,+                                 --    if available.+                                 --+                                 -- 2. The number of arguments the let-dec has.+                                 --    If no kind information is available from+                                 --    which to infer this number, then this+                                 --    will default to the earlier Int argument.+    promote_let_dec_ty all_locals default_num_args =+      case rhs_sort of+        ClassMethodRHS arg_kis res_ki+          -> -- For class method RHS helper functions, don't bother quantifying+             -- any type variables in their SAKS. We could certainly try, but+             -- given that these functions are only used internally, there's no+             -- point in trying to get the order of type variables correct,+             -- since we don't apply these functions with visible kind+             -- applications.+             let sak = ravelVanillaDType [] [] arg_kis res_ki in+             return (Just (LDRKI (Just sak) [] arg_kis res_ki), length arg_kis)+        LetBindingRHS+          |  Just ty <- OMap.lookup name type_env+          -> do+          -- promoteType turns rank-1 uses of (->) into (~>). So, we unravel+          -- first to avoid this behavior, and then ravel back.+          (tvbs, argKs, resultK) <- promoteUnraveled ty+          let m_sak | null all_locals = Just $ ravelVanillaDType tvbs [] argKs resultK+                      -- If this let-dec closes over local variables, then+                      -- don't give it a SAK.+                      -- See Note [No SAKs for let-decs with local variables]+                    | otherwise       = Nothing+          -- invariant: count_args ty == length argKs+          return (Just (LDRKI m_sak tvbs argKs resultK), length argKs)++          |  otherwise+          -> return (Nothing, default_num_args)++    etaContractOrExpand :: Int -> Int -> DClause -> PrM DClause+    etaContractOrExpand ty_num_args clause_num_args (DClause pats exp)+      | n >= 0 = do -- Eta-expand+          names <- replicateM n (newUniqueName "a")+          let newPats = map DVarP names+              newArgs = map DVarE names+          return $ DClause (pats ++ newPats) (foldExp exp newArgs)+      | otherwise = do -- Eta-contract+          let (clausePats, lamPats) = splitAt ty_num_args pats+          lamExp <- mkDLamEFromDPats lamPats exp+          return $ DClause clausePats lamExp+      where+        n = ty_num_args - clause_num_args++    count_args :: [DClause] -> PrM Int+    count_args (DClause pats _ : _) = return $ length pats+    count_args _ = fail $ "Impossible! A function without clauses."++-- An auxiliary data type used in promoteLetDecRHS that describes information+-- related to the promoted kind of a class method default or normal+-- let binding.+data LetDecRHSKindInfo =+  LDRKI (Maybe DKind)    -- The standalone kind signature, if applicable.+                         -- This will be Nothing if the let-dec RHS has local+                         -- variables that it closes over.+                         -- See Note [No SAKs for let-decs with local variables]+        [DTyVarBndrSpec] -- The type variable binders of the kind.+        [DKind]          -- The argument kinds.+        DKind            -- The result kind.++{-+Note [No SAKs for let-decs with local variables]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+Consider promoting this:++  f :: Bool+  f = let x = True+          g :: () -> Bool+          g _ = x+      in g ()++Clearly, the promoted `F` type family will have the following SAK:++  type F :: ()++What about `G`? At a passing glance, it appears that you could get away with+this:++  type G :: Bool -> ()++But this isn't quite right, since `g` closes over `x = True`. The body of `G`,+therefore, has to lift `x` to be an explicit argument:++  type family G x (u :: ()) :: Bool where+    G x _ = x++At present, we don't keep track of the types of local variables like `x`, which+makes it difficult to create a SAK for things like `G`. Here are some possible+ideas, each followed by explanations for why they are infeasible:++* Use wildcards:++    type G :: _ -> () -> Bool++  Alas, GHC currently does not allow wildcards in SAKs. See GHC#17432.++* Use visible dependent quantification to avoid having to say what the kind+  of `x` is:++    type G :: forall x -> () -> Bool++  A clever trick to be sure, but it doesn't quite do what we want, since+  GHC will generalize that kind to become `forall (x :: k) -> () -> Bool`,+  which is more general than we want.++In any case, it's probably not worth bothering with SAKs for local definitions+like `g` in the first place, so we avoid generating SAKs for anything that+closes over at least one local variable for now. If someone yells about this,+we'll reconsider this design.++Note [Keep redundant kind information for Haddocks]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+`singletons-th` generates explicit argument kinds and result kinds for+type-level declarations whenever possible, even if those kinds are technically+redundant. For example, `singletons-th` would promote this:++  id' :: a -> a++To this:++  type Id' :: a -> a+  type family Id' (x :: a) :: a where ...++Strictly speaking, the argument and result kind of Id' are unnecessary, since+the same information is already present in the standalone kind signature.+However, due to a Haddock limitation+(https://github.com/haskell/haddock/issues/1178), Haddock will not render+standalone kind signatures at all, so if the argument and result kind of Id'+were omitted in the body, Haddock would render it like so:++  type family Id' x where ...++This is unfortunate for Haddock viewers, as this does not convey any kind+information whatsoever. Until the aformentioned Haddock issue is resolved, we+work around this limitation by generating the redundant argument and kind+information anyway. Thankfully, this is simple to accomplish, as we already+compute this information to begin with.+-}++promoteClause :: Maybe Uniq+                 -- ^ Let-binding unique (if locally bound)+              -> Name+                 -- ^ Name of the function being promoted+              -> Maybe LetDecRHSKindInfo+                 -- ^ Information about the promoted kind (if present)+              -> [Name]+                 -- ^ The local variables currently in scope+              -> DClause -> PrM (DTySynEqn, ADClause)+promoteClause mb_let_uniq name m_ldrki all_locals (DClause pats exp) = do+  -- promoting the patterns creates variable bindings. These are passed+  -- to the function promoted the RHS+  ((types, pats'), prom_pat_infos) <- evalForPair $ mapAndUnzipM promotePat pats+  -- If the function has scoped type variables, then we annotate each argument+  -- in the promoted type family equation with its kind.+  -- See Note [Scoped type variables] in Data.Singletons.TH.Promote.Monad for an+  -- explanation of why we do this.+  scoped_tvs <- qIsExtEnabled LangExt.ScopedTypeVariables+  let types_w_kinds =+        case m_ldrki of+          Just (LDRKI _ tvbs kinds _)+            |  not (null tvbs) && scoped_tvs+            -> zipWith DSigT types kinds+          _ -> types+  let PromDPatInfos { prom_dpat_vars    = new_vars+                    , prom_dpat_sig_kvs = sig_kvs } = prom_pat_infos+  (ty, ann_exp) <- scopedBind sig_kvs $+                   lambdaBind new_vars $+                   promoteExp exp+  pro_clause_fun <- promoteLetDecName mb_let_uniq name m_ldrki all_locals+  return ( DTySynEqn Nothing (foldType pro_clause_fun types_w_kinds) ty+         , ADClause new_vars pats' ann_exp )++promoteMatch :: DType -- What to use as the LHS of the promoted type family+                      -- equation. This should consist of the promoted name of+                      -- the case expression to which the match belongs, applied+                      -- to any local arguments (e.g., `Case x y z`).+             -> DMatch -> PrM (DTySynEqn, ADMatch)+promoteMatch pro_case_fun (DMatch pat exp) = do+  -- promoting the patterns creates variable bindings. These are passed+  -- to the function promoted the RHS+  ((ty, pat'), prom_pat_infos) <- evalForPair $ promotePat pat+  let PromDPatInfos { prom_dpat_vars    = new_vars+                    , prom_dpat_sig_kvs = sig_kvs } = prom_pat_infos+  (rhs, ann_exp) <- scopedBind sig_kvs $+                    lambdaBind new_vars $+                    promoteExp exp+  return $ ( DTySynEqn Nothing (pro_case_fun `DAppT` ty) rhs+           , ADMatch new_vars pat' ann_exp)++-- promotes a term pattern into a type pattern, accumulating bound variable names+promotePat :: DPat -> QWithAux PromDPatInfos PrM (DType, ADPat)+promotePat (DLitP lit) = (, ADLitP lit) <$> promoteLitPat lit+promotePat (DVarP name) = do+      -- term vars can be symbols... type vars can't!+  tyName <- mkTyName name+  tell $ PromDPatInfos [(name, tyName)] OSet.empty+  return (DVarT tyName, ADVarP name)+promotePat (DConP name tys pats) = do+  opts <- getOptions+  kis <- traverse (promoteType_options conOptions) tys+  (types, pats') <- mapAndUnzipM promotePat pats+  let name' = promotedDataTypeOrConName opts name+  return (foldType (foldl DAppKindT (DConT name') kis) types, ADConP name kis pats')+  where+    -- Currently, visible type patterns of data constructors are the one place+    -- in `singletons-th` where it makes sense to promote wildcard types, as it+    -- will produce code that GHC will accept.+    conOptions :: PromoteTypeOptions+    conOptions = defaultPromoteTypeOptions{ptoAllowWildcards = True}+promotePat (DTildeP pat) = do+  qReportWarning "Lazy pattern converted into regular pattern in promotion"+  second ADTildeP <$> promotePat pat+promotePat (DBangP pat) = do+  qReportWarning "Strict pattern converted into regular pattern in promotion"+  second ADBangP <$> promotePat pat+promotePat (DSigP pat ty) = do+  -- We must maintain the invariant that any promoted pattern signature must+  -- not have any wildcards in the underlying pattern.+  -- See Note [Singling pattern signatures].+  wildless_pat <- removeWilds pat+  (promoted, pat') <- promotePat wildless_pat+  ki <- promoteType ty+  tell $ PromDPatInfos [] (fvDType ki)+  return (DSigT promoted ki, ADSigP promoted pat' ki)+promotePat DWildP = return (DWildCardT, ADWildP)++promoteExp :: DExp -> PrM (DType, ADExp)+promoteExp (DVarE name) = fmap (, ADVarE name) $ lookupVarE name+promoteExp (DConE name) = do+  opts <- getOptions+  return (DConT $ defunctionalizedName0 opts name, ADConE name)+promoteExp (DLitE lit)  = fmap (, ADLitE lit) $ promoteLitExp lit+promoteExp (DAppE exp1 exp2) = do+  (exp1', ann_exp1) <- promoteExp exp1+  (exp2', ann_exp2) <- promoteExp exp2+  return (apply exp1' exp2', ADAppE ann_exp1 ann_exp2)+-- Until we get visible kind applications, this is the best we can do.+promoteExp (DAppTypeE exp _) = do+  qReportWarning "Visible type applications are ignored by `singletons-th`."+  promoteExp exp+promoteExp (DLamE names exp) = do+  opts <- getOptions+  lambdaName <- newUniqueName "Lambda"+  tyNames <- mapM mkTyName names+  let var_proms = zip names tyNames+  (rhs, ann_exp) <- lambdaBind var_proms $ promoteExp exp+  all_locals <- allLocals+  let tvbs     = map (`DPlainTV` BndrReq) tyNames+      all_args = all_locals ++ tyNames+      all_tvbs = map (`DPlainTV` BndrReq) all_args+      tfh      = dTypeFamilyHead_with_locals lambdaName all_locals tvbs DNoSig+  emitDecs [DClosedTypeFamilyD+              tfh+              [DTySynEqn Nothing+                         (foldType (DConT lambdaName) (map DVarT all_args))+                         rhs]]+  emitDecsM $ defunctionalize lambdaName Nothing $ DefunNoSAK all_tvbs Nothing+  let promLambda = foldApply (DConT (defunctionalizedName opts lambdaName 0))+                             (map DVarT all_locals)+  return (promLambda, ADLamE tyNames promLambda names ann_exp)+promoteExp (DCaseE exp matches) = do+  caseTFName <- newUniqueName "Case"+  all_locals <- allLocals+  let prom_case = foldType (DConT caseTFName) (map DVarT all_locals)+  (exp', ann_exp)     <- promoteExp exp+  (eqns, ann_matches) <- mapAndUnzipM (promoteMatch prom_case) matches+  tyvarName  <- qNewName "t"+  let tvbs = [DPlainTV tyvarName BndrReq]+      tfh  = dTypeFamilyHead_with_locals caseTFName all_locals tvbs DNoSig+  emitDecs [DClosedTypeFamilyD tfh eqns]+    -- See Note [Annotate case return type] in Single+  let applied_case = prom_case `DAppT` exp'+  return ( applied_case+         , ADCaseE ann_exp ann_matches applied_case )+promoteExp (DLetE decs exp) = do+  unique <- qNewUnique+  (binds, ann_env) <- promoteLetDecs (Just unique) decs+  (exp', ann_exp) <- letBind binds $ promoteExp exp+  return (exp', ADLetE ann_env ann_exp)+promoteExp (DSigE exp ty) = do+  (exp', ann_exp) <- promoteExp exp+  ty' <- promoteType ty+  return (DSigT exp' ty', ADSigE exp' ann_exp ty')+promoteExp e@(DStaticE _) = fail ("Static expressions cannot be promoted: " ++ show e)+promoteExp e@(DTypedBracketE _) = fail ("Typed bracket expressions cannot be promoted: " ++ show e)+promoteExp e@(DTypedSpliceE _) = fail ("Typed splice expressions cannot be promoted: " ++ show e)++promoteLitExp :: OptionsMonad q => Lit -> q DType+promoteLitExp (IntegerL n) = do+  opts <- getOptions+  let tyFromIntegerName = promotedValueName opts fromIntegerName Nothing+      tyNegateName      = promotedValueName opts negateName      Nothing+  if n >= 0+     then return $ (DConT tyFromIntegerName `DAppT` DLitT (NumTyLit n))+     else return $ (DConT tyNegateName `DAppT`+                    (DConT tyFromIntegerName `DAppT` DLitT (NumTyLit (-n))))+promoteLitExp (StringL str) = do+  opts <- getOptions+  let prom_str_lit = DLitT (StrTyLit str)+  os_enabled <- qIsExtEnabled LangExt.OverloadedStrings+  pure $ if os_enabled+         then DConT (promotedValueName opts fromStringName Nothing) `DAppT` prom_str_lit+         else prom_str_lit+promoteLitExp (CharL c) = return $ DLitT (CharTyLit c)+promoteLitExp lit =+  fail ("Only string, natural number, and character literals can be promoted: " ++ show lit)++promoteLitPat :: MonadFail m => Lit -> m DType+promoteLitPat (IntegerL n)+  | n >= 0    = return $ (DLitT (NumTyLit n))+  | otherwise =+    fail $ "Negative literal patterns are not allowed,\n" +++           "because literal patterns are promoted to natural numbers."+promoteLitPat (StringL str) = return $ DLitT (StrTyLit str)+promoteLitPat (CharL c) = return $ DLitT (CharTyLit c)+promoteLitPat lit =+  fail ("Only string, natural number, and character literals can be promoted: " ++ show lit)++-- Promote the name of a 'ULetDecRHS' to the type level. If the promoted+-- 'ULetDecRHS' has a standalone type signature and does not close over any+-- local variables, then this will include the scoped type variables from the+-- type signature as invisible arguments. (See Note [Scoped type variables] in+-- Data.Singletons.TH.Promote.Monad.) Otherwise, it will include any local+-- variables that it closes over as explicit arguments.+promoteLetDecName ::+     Maybe Uniq+     -- ^ Let-binding unique (if locally bound)+  -> Name+     -- ^ Name of the function being promoted+  -> Maybe LetDecRHSKindInfo+     -- ^ Information about the promoted kind (if present)+  -> [Name]+     -- ^ The local variables currently in scope+  -> PrM DType+promoteLetDecName mb_let_uniq name m_ldrki all_locals = do+  opts <- getOptions+  let proName = promotedValueName opts name mb_let_uniq+      type_args =+        case m_ldrki of+          Just (LDRKI m_sak tvbs _ _)+            |  isJust m_sak+               -- Per the comments on LetDecRHSKindInfo, `isJust m_sak` is only True+               -- if there are no local variables. Return the scoped type variables+               -- `tvbs` as invisible arguments using `DTyArg`...+            -> map (DTyArg . DVarT . extractTvbName) tvbs+          _ -> -- ...otherwise, return the local variables as explicit arguments+               -- using DTANormal.+               map (DTANormal . DVarT) all_locals+  pure $ applyDType (DConT proName) type_args++-- Construct a 'DTypeFamilyHead' that closes over some local variables. We+-- apply `noExactName` to each local variable to avoid GHC#11812.+-- See also Note [Pitfalls of NameU/NameL] in Data.Singletons.TH.Util.+dTypeFamilyHead_with_locals ::+     Name+  -- ^ Name of type family+  -> [Name]+  -- ^ Local variables+  -> [DTyVarBndrVis]+  -- ^ Variables for type family arguments+  -> DFamilyResultSig+  -- ^ Type family result+  -> DTypeFamilyHead+dTypeFamilyHead_with_locals tf_nm local_nms arg_tvbs res_sig =+  DTypeFamilyHead+    tf_nm+    (map (`DPlainTV` BndrReq) local_nms' ++ arg_tvbs')+    res_sig'+    Nothing+  where+    -- We take care to only apply `noExactName` to the local variables and not+    -- to any of the argument/result types. The latter are much more likely to+    -- show up in the Haddocks, and `noExactName` produces incredibly long Names+    -- that are much harder to read in the rendered Haddocks.+    local_nms' = map noExactName local_nms++    -- Ensure that all references to local_nms are substituted away.+    subst1 = Map.fromList $+             zipWith (\local_nm local_nm' -> (local_nm, DVarT local_nm'))+                     local_nms+                     local_nms'+    (subst2, arg_tvbs') = substTvbs subst1 arg_tvbs+    (_subst3, res_sig') = substFamilyResultSig subst2 res_sig
src/Data/Singletons/TH/Promote/Defun.hs view
@@ -1,823 +1,826 @@-{-# LANGUAGE TemplateHaskellQuotes #-}
-
-{- Data/Singletons/TH/Promote/Defun.hs
-
-(c) Richard Eisenberg, Jan Stolarek 2014
-rae@cs.brynmawr.edu
-
-This file creates defunctionalization symbols for types during promotion.
--}
-
-module Data.Singletons.TH.Promote.Defun where
-
-import Language.Haskell.TH.Desugar
-import Language.Haskell.TH.Syntax
-import Data.Singletons.TH.Names
-import Data.Singletons.TH.Options
-import Data.Singletons.TH.Promote.Monad
-import Data.Singletons.TH.Promote.Type
-import Data.Singletons.TH.Syntax
-import Data.Singletons.TH.Util
-import Control.Monad
-import qualified Data.Map.Strict as Map
-import Data.Map.Strict (Map)
-import Data.Maybe
-
-defunInfo :: DInfo -> PrM [DDec]
-defunInfo (DTyConI dec _instances) = buildDefunSyms dec
-defunInfo (DPrimTyConI _name _numArgs _unlifted) =
-  fail $ "Building defunctionalization symbols of primitive " ++
-         "type constructors not supported"
-defunInfo (DVarI _name _ty _mdec) =
-  fail "Building defunctionalization symbols of values not supported"
-defunInfo (DTyVarI _name _ty) =
-  fail "Building defunctionalization symbols of type variables not supported"
-defunInfo (DPatSynI {}) =
-  fail "Building defunctionalization symbols of pattern synonyms not supported"
-
--- Defunctionalize type families defined at the top level (i.e., not associated
--- with a type class).
-defunTopLevelTypeDecls ::
-     [TySynDecl]
-  -> [ClosedTypeFamilyDecl]
-  -> [OpenTypeFamilyDecl]
-  -> PrM ()
-defunTopLevelTypeDecls ty_syns c_tyfams o_tyfams = do
-  defun_ty_syns <-
-    concatMapM (\(TySynDecl name tvbs rhs) -> buildDefunSymsTySynD name tvbs rhs) ty_syns
-  defun_c_tyfams <-
-    concatMapM (buildDefunSymsClosedTypeFamilyD . getTypeFamilyDecl) c_tyfams
-  defun_o_tyfams <-
-    concatMapM (buildDefunSymsOpenTypeFamilyD . getTypeFamilyDecl) o_tyfams
-  emitDecs $ defun_ty_syns ++ defun_c_tyfams ++ defun_o_tyfams
-
--- Defunctionalize all the type families associated with a type class.
-defunAssociatedTypeFamilies ::
-     [DTyVarBndrUnit]     -- The type variables bound by the parent class
-  -> [OpenTypeFamilyDecl] -- The type families associated with the parent class
-  -> PrM ()
-defunAssociatedTypeFamilies cls_tvbs atfs = do
-  defun_atfs <- concatMapM defun atfs
-  emitDecs defun_atfs
-  where
-    defun :: OpenTypeFamilyDecl -> PrM [DDec]
-    defun (TypeFamilyDecl tf_head) =
-      buildDefunSymsTypeFamilyHead ascribe_tf_tvb_kind id tf_head
-
-    -- Maps class-bound type variables to their kind annotations (if supplied).
-    -- For example, `class C (a :: Bool) b (c :: Type)` will produce
-    -- {a |-> Bool, c |-> Type}.
-    cls_tvb_kind_map :: Map Name DKind
-    cls_tvb_kind_map = Map.fromList [ (extractTvbName tvb, tvb_kind)
-                                    | tvb <- cls_tvbs
-                                    , Just tvb_kind <- [extractTvbKind tvb]
-                                    ]
-
-    -- If the parent class lacks a SAK, we cannot safely default kinds to
-    -- Type. All we can do is make use of whatever kind information that parent
-    -- class provides and let kind inference do the rest.
-    --
-    -- We can sometimes learn more specific information about unannotated type
-    -- family binders from the parent class, as in the following example:
-    --
-    --   class C (a :: Bool) where
-    --     type T a :: Type
-    --
-    -- Here, we know that `T :: Bool -> Type` because we can infer that the `a`
-    -- in `type T a` should be of kind `Bool` from the class SAK.
-    ascribe_tf_tvb_kind :: DTyVarBndrUnit -> DTyVarBndrUnit
-    ascribe_tf_tvb_kind tvb =
-      case tvb of
-        DKindedTV{}  -> tvb
-        DPlainTV n _ -> maybe tvb (DKindedTV n ()) $ Map.lookup n cls_tvb_kind_map
-
-buildDefunSyms :: DDec -> PrM [DDec]
-buildDefunSyms dec =
-  case dec of
-    DDataD _new_or_data _cxt _tyName _tvbs _k ctors _derivings ->
-      buildDefunSymsDataD ctors
-    DClosedTypeFamilyD tf_head _ ->
-      buildDefunSymsClosedTypeFamilyD tf_head
-    DOpenTypeFamilyD tf_head ->
-      buildDefunSymsOpenTypeFamilyD tf_head
-    DTySynD name tvbs rhs ->
-      buildDefunSymsTySynD name tvbs rhs
-    DClassD _cxt name tvbs _fundeps _members ->
-      defunReify name tvbs (Just (DConT constraintName))
-    _ -> fail $ "Defunctionalization symbols can only be built for " ++
-                "type families and data declarations"
-
--- Unlike open type families, closed type families that lack SAKS do not
--- default anything to Type, instead relying on kind inference to figure out
--- unspecified kinds.
-buildDefunSymsClosedTypeFamilyD :: DTypeFamilyHead -> PrM [DDec]
-buildDefunSymsClosedTypeFamilyD = buildDefunSymsTypeFamilyHead id id
-
--- If an open type family lacks a SAK and has type variable binders or a result
--- without explicit kinds, then they default to Type (hence the uses of
--- default{Tvb,Maybe}ToTypeKind).
-buildDefunSymsOpenTypeFamilyD :: DTypeFamilyHead -> PrM [DDec]
-buildDefunSymsOpenTypeFamilyD =
-  buildDefunSymsTypeFamilyHead defaultTvbToTypeKind (Just . defaultMaybeToTypeKind)
-
-buildDefunSymsTypeFamilyHead
-  :: (DTyVarBndrUnit -> DTyVarBndrUnit) -- How to default each type variable binder
-  -> (Maybe DKind -> Maybe DKind)       -- How to default the result kind
-  -> DTypeFamilyHead -> PrM [DDec]
-buildDefunSymsTypeFamilyHead default_tvb default_kind
-    (DTypeFamilyHead name tvbs result_sig _) = do
-  let arg_tvbs = map default_tvb tvbs
-      res_kind = default_kind (resultSigToMaybeKind result_sig)
-  defunReify name arg_tvbs res_kind
-
-buildDefunSymsTySynD :: Name -> [DTyVarBndrUnit] -> DType -> PrM [DDec]
-buildDefunSymsTySynD name tvbs rhs = defunReify name tvbs mb_res_kind
-  where
-    -- If a type synonym lacks a SAK, we can "infer" its result kind by
-    -- checking for an explicit kind annotation on the right-hand side.
-    mb_res_kind :: Maybe DKind
-    mb_res_kind = case rhs of
-                    DSigT _ k -> Just k
-                    _         -> Nothing
-
-buildDefunSymsDataD :: [DCon] -> PrM [DDec]
-buildDefunSymsDataD ctors =
-  concatMapM promoteCtor ctors
-  where
-    promoteCtor :: DCon -> PrM [DDec]
-    promoteCtor (DCon tvbs _ name fields res_ty) = do
-      opts <- getOptions
-      let name'   = promotedDataTypeOrConName opts name
-          arg_tys = tysOfConFields fields
-      arg_kis <- traverse promoteType_NC arg_tys
-      res_ki  <- promoteType_NC res_ty
-      let con_ki = ravelVanillaDType tvbs [] arg_kis res_ki
-      m_fixity <- reifyFixityWithLocals name'
-      defunctionalize name' m_fixity $ DefunSAK con_ki
-
--- Generate defunctionalization symbols for a name, using reifyFixityWithLocals
--- to determine what the fixity of each symbol should be
--- (see Note [Fixity declarations for defunctionalization symbols])
--- and dsReifyType to determine whether defunctionalization should make use
--- of SAKs or not (see Note [Defunctionalization game plan]).
-defunReify :: Name             -- Name of the declaration to be defunctionalized
-           -> [DTyVarBndrUnit] -- The declaration's type variable binders
-                               -- (only used if the declaration lacks a SAK)
-           -> Maybe DKind      -- The declaration's return kind, if it has one
-                               -- (only used if the declaration lacks a SAK)
-           -> PrM [DDec]
-defunReify name tvbs m_res_kind = do
-  m_fixity <- reifyFixityWithLocals name
-  m_sak    <- dsReifyType name
-  let defun = defunctionalize name m_fixity
-  case m_sak of
-    Just sak -> defun $ DefunSAK sak
-    Nothing  -> defun $ DefunNoSAK tvbs m_res_kind
-
--- Generate symbol data types, Apply instances, and other declarations required
--- for defunctionalization.
--- See Note [Defunctionalization game plan] for an overview of the design
--- considerations involved.
-defunctionalize :: Name
-                -> Maybe Fixity
-                -> DefunKindInfo
-                -> PrM [DDec]
-defunctionalize name m_fixity defun_ki = do
-  case defun_ki of
-    DefunSAK sak ->
-      -- Even if a declaration has a SAK, its kind may not be vanilla.
-      case unravelVanillaDType_either sak of
-        -- If the kind isn't vanilla, use the fallback approach.
-        -- See Note [Defunctionalization game plan],
-        -- Wrinkle 2: Non-vanilla kinds.
-        Left _ -> defun_fallback [] (Just sak)
-        -- Otherwise, proceed with defun_vanilla_sak.
-        Right (sak_tvbs, _sak_cxt, sak_arg_kis, sak_res_ki)
-               -> defun_vanilla_sak sak_tvbs sak_arg_kis sak_res_ki
-    -- If a declaration lacks a SAK, it likely has a partial kind.
-    -- See Note [Defunctionalization game plan], Wrinkle 1: Partial kinds.
-    DefunNoSAK tvbs m_res -> defun_fallback tvbs m_res
-  where
-    -- Generate defunctionalization symbols for things with vanilla SAKs.
-    -- The symbols themselves will also be given SAKs.
-    defun_vanilla_sak :: [DTyVarBndrSpec] -> [DKind] -> DKind -> PrM [DDec]
-    defun_vanilla_sak sak_tvbs sak_arg_kis sak_res_ki = do
-      opts <- getOptions
-      extra_name <- qNewName "arg"
-      let sak_arg_n = length sak_arg_kis
-      -- Use noExactName below to avoid GHC#17537.
-      arg_names <- replicateM sak_arg_n (noExactName <$> qNewName "a")
-
-      let -- The inner loop. @go n arg_nks res_nks@ returns @(res_k, decls)@.
-          -- Using one particular example:
-          --
-          -- @
-          -- type ExampleSym2 :: a -> b -> c ~> d ~> Type
-          -- data ExampleSym2 (x :: a) (y :: b) :: c ~> d ~> Type where ...
-          -- type instance Apply (ExampleSym2 x y) z = ExampleSym3 x y z
-          -- ...
-          -- @
-          --
-          -- We have:
-          --
-          -- * @n@ is 2. This is incremented in each iteration of `go`.
-          --
-          -- * @arg_nks@ is [(x, a), (y, b)]. Each element in this list is a
-          -- (type variable name, type variable kind) pair. The kinds appear in
-          -- the SAK, separated by matchable arrows (->).
-          --
-          -- * @res_tvbs@ is [(z, c), (w, d)]. Each element in this list is a
-          -- (type variable name, type variable kind) pair. The kinds appear in
-          -- @res_k@, separated by unmatchable arrows (~>).
-          --
-          -- * @res_k@ is `c ~> d ~> Type`. @res_k@ is returned so that earlier
-          --   defunctionalization symbols can build on the result kinds of
-          --   later symbols. For instance, ExampleSym1 would get the result
-          --   kind `b ~> c ~> d ~> Type` by prepending `b` to ExampleSym2's
-          --   result kind `c ~> d ~> Type`.
-          --
-          -- * @decls@ are all of the declarations corresponding to ExampleSym2
-          --   and later defunctionalization symbols. This is the main payload of
-          --   the function.
-          --
-          -- Note that the body of ExampleSym2 redundantly includes the
-          -- argument kinds and result kind, which are already stated in the
-          -- standalone kind signature. This is a deliberate choice.
-          -- See Note [Keep redundant kind information for Haddocks]
-          -- in D.S.TH.Promote.
-          --
-          -- This function is quadratic because it appends a variable at the end of
-          -- the @arg_nks@ list at each iteration. In practice, this is unlikely
-          -- to be a performance bottleneck since the number of arguments rarely
-          -- gets to be that large.
-          go :: Int -> [(Name, DKind)] -> [(Name, DKind)] -> (DKind, [DDec])
-          go n arg_nks res_nkss =
-            let arg_tvbs :: [DTyVarBndrUnit]
-                arg_tvbs = map (\(na, ki) -> DKindedTV na () ki) arg_nks
-
-                mk_sak_dec :: DKind -> DDec
-                mk_sak_dec res_ki =
-                  DKiSigD (defunctionalizedName opts name n) $
-                  ravelVanillaDType sak_tvbs [] (map snd arg_nks) res_ki in
-            case res_nkss of
-              [] ->
-                let sat_sak_dec = mk_sak_dec sak_res_ki
-                    sat_decs    = mk_sat_decs opts n arg_tvbs (Just sak_res_ki)
-                in (sak_res_ki, sat_sak_dec:sat_decs)
-              res_nk:res_nks ->
-                let (res_ki, decs)   = go (n+1) (arg_nks ++ [res_nk]) res_nks
-                    tyfun            = buildTyFunArrow (snd res_nk) res_ki
-                    defun_sak_dec    = mk_sak_dec tyfun
-                    defun_other_decs = mk_defun_decs opts n sak_arg_n
-                                                     arg_tvbs (fst res_nk)
-                                                     extra_name (Just tyfun)
-                in (tyfun, defun_sak_dec:defun_other_decs ++ decs)
-
-      pure $ snd $ go 0 [] $ zip arg_names sak_arg_kis
-
-    -- If defun_sak can't be used to defunctionalize something, this fallback
-    -- approach is used. This is used when defunctionalizing something with a
-    -- partial kind
-    -- (see Note [Defunctionalization game plan], Wrinkle 1: Partial kinds)
-    -- or a non-vanilla kind
-    -- (see Note [Defunctionalization game plan], Wrinkle 2: Non-vanilla kinds).
-    defun_fallback :: [DTyVarBndrUnit] -> Maybe DKind -> PrM [DDec]
-    defun_fallback tvbs' m_res' = do
-      opts <- getOptions
-      extra_name <- qNewName "arg"
-      -- Use noExactTyVars below to avoid GHC#11812.
-      (tvbs, m_res) <- eta_expand (noExactTyVars tvbs') (noExactTyVars m_res')
-
-      let tvbs_n = length tvbs
-
-          -- The inner loop. @go n arg_tvbs res_tvbs@ returns @(m_res_k, decls)@.
-          -- Using one particular example:
-          --
-          -- @
-          -- data ExampleSym2 (x :: a) y :: c ~> d ~> Type where ...
-          -- type instance Apply (ExampleSym2 x y) z = ExampleSym3 x y z
-          -- ...
-          -- @
-          --
-          -- This works very similarly to the `go` function in
-          -- `defun_vanilla_sak`. The main differences are:
-          --
-          -- * This function does not produce any SAKs for defunctionalization
-          --   symbols.
-          --
-          -- * Instead of [(Name, DKind)], this function uses [DTyVarBndr] as
-          --   the types of @arg_tvbs@ and @res_tvbs@. This is because the
-          --   kinds are not always known. By a similar token, this function
-          --   uses Maybe DKind, not DKind, as the type of @m_res_k@, since
-          --   the result kind is not always fully known.
-          go :: Int -> [DTyVarBndrUnit] -> [DTyVarBndrUnit] -> (Maybe DKind, [DDec])
-          go n arg_tvbs res_tvbss =
-            case res_tvbss of
-              [] ->
-                let sat_decs = mk_sat_decs opts n arg_tvbs m_res
-                in (m_res, sat_decs)
-              res_tvb:res_tvbs ->
-                let (m_res_ki, decs) = go (n+1) (arg_tvbs ++ [res_tvb]) res_tvbs
-                    m_tyfun          = buildTyFunArrow_maybe (extractTvbKind res_tvb)
-                                                             m_res_ki
-                    defun_decs'      = mk_defun_decs opts n tvbs_n arg_tvbs
-                                                     (extractTvbName res_tvb)
-                                                     extra_name m_tyfun
-                in (m_tyfun, defun_decs' ++ decs)
-
-      pure $ snd $ go 0 [] tvbs
-
-    mk_defun_decs :: Options
-                  -> Int
-                  -> Int
-                  -> [DTyVarBndrUnit]
-                  -> Name
-                  -> Name
-                  -> Maybe DKind
-                  -> [DDec]
-    mk_defun_decs opts n fully_sat_n arg_tvbs tyfun_name extra_name m_tyfun =
-      let data_name   = defunctionalizedName opts name n
-          next_name   = defunctionalizedName opts name (n+1)
-          con_name    = prefixName "" ":" $ suffixName "KindInference" "###" data_name
-          arg_names   = map extractTvbName arg_tvbs
-          params      = arg_tvbs ++ [DPlainTV tyfun_name ()]
-          con_eq_ct   = DConT sameKindName `DAppT` lhs `DAppT` rhs
-            where
-              lhs = foldType (DConT data_name) (map DVarT arg_names) `apply` (DVarT extra_name)
-              rhs = foldType (DConT next_name) (map DVarT (arg_names ++ [extra_name]))
-          con_decl    = DCon [] [con_eq_ct] con_name (DNormalC False [])
-                             (foldTypeTvbs (DConT data_name) params)
-          data_decl   = DDataD Data [] data_name args m_tyfun [con_decl] []
-            where
-              args | isJust m_tyfun = arg_tvbs
-                   | otherwise      = params
-          app_data_ty = foldTypeTvbs (DConT data_name) arg_tvbs
-          app_eqn     = DTySynEqn Nothing
-                                  (DConT applyName `DAppT` app_data_ty
-                                                   `DAppT` DVarT tyfun_name)
-                                  (foldTypeTvbs (DConT app_eqn_rhs_name)
-                                                (arg_tvbs ++ [DPlainTV tyfun_name ()]))
-          -- If the next defunctionalization symbol is fully saturated, then
-          -- use the original declaration name instead.
-          -- See Note [Fully saturated defunctionalization symbols]
-          -- (Wrinkle: avoiding reduction stack overflows).
-          app_eqn_rhs_name | n+1 == fully_sat_n = name
-                           | otherwise          = next_name
-          app_decl    = DTySynInstD app_eqn
-          suppress    = DInstanceD Nothing Nothing []
-                          (DConT suppressClassName `DAppT` app_data_ty)
-                          [DLetDec $ DFunD suppressMethodName
-                                           [DClause []
-                                                    ((DVarE 'snd) `DAppE`
-                                                     mkTupleDExp [DConE con_name,
-                                                                  mkTupleDExp []])]]
-
-          -- See Note [Fixity declarations for defunctionalization symbols]
-          fixity_decl = maybeToList $ fmap (mk_fix_decl data_name) m_fixity
-      in data_decl : app_decl : suppress : fixity_decl
-
-    -- Generate a "fully saturated" defunction symbol, along with a fixity
-    -- declaration (if needed).
-    -- See Note [Fully saturated defunctionalization symbols].
-    mk_sat_decs :: Options -> Int -> [DTyVarBndrUnit] -> Maybe DKind -> [DDec]
-    mk_sat_decs opts n sat_tvbs m_sat_res =
-      let sat_name = defunctionalizedName opts name n
-          sat_dec  = DClosedTypeFamilyD
-                       (DTypeFamilyHead sat_name sat_tvbs
-                                        (maybeKindToResultSig m_sat_res) Nothing)
-                       [DTySynEqn Nothing
-                                  (foldTypeTvbs (DConT sat_name) sat_tvbs)
-                                  (foldTypeTvbs (DConT name)     sat_tvbs)]
-          sat_fixity_dec = maybeToList $ fmap (mk_fix_decl sat_name) m_fixity
-      in sat_dec : sat_fixity_dec
-
-    -- Generate extra kind variable binders corresponding to the number of
-    -- arrows in the return kind (if provided). Examples:
-    --
-    -- >>> eta_expand [(x :: a), (y :: b)] (Just (c -> Type))
-    -- ([(x :: a), (y :: b), (e :: c)], Just Type)
-    --
-    -- >>> eta_expand [(x :: a), (y :: b)] Nothing
-    -- ([(x :: a), (y :: b)], Nothing)
-    eta_expand :: [DTyVarBndrUnit] -> Maybe DKind -> PrM ([DTyVarBndrUnit], Maybe DKind)
-    eta_expand m_arg_tvbs Nothing = pure (m_arg_tvbs, Nothing)
-    eta_expand m_arg_tvbs (Just res_kind) = do
-        let (arg_ks, result_k) = unravelDType res_kind
-            vis_arg_ks = filterDVisFunArgs arg_ks
-        extra_arg_tvbs <- traverse mk_extra_tvb vis_arg_ks
-        pure (m_arg_tvbs ++ extra_arg_tvbs, Just result_k)
-
-    -- Convert a DVisFunArg to a DTyVarBndr, generating a fresh type variable
-    -- name if the DVisFunArg is an anonymous argument.
-    mk_extra_tvb :: DVisFunArg -> PrM DTyVarBndrUnit
-    mk_extra_tvb vfa =
-      case vfa of
-        DVisFADep tvb -> pure tvb
-        DVisFAAnon k  -> (\n -> DKindedTV n () k) <$>
-                           -- Use noExactName below to avoid GHC#19743.
-                           (noExactName <$> qNewName "e")
-
-    mk_fix_decl :: Name -> Fixity -> DDec
-    mk_fix_decl n f = DLetDec $ DInfixD f n
-
--- Indicates whether the type being defunctionalized has a standalone kind
--- signature. If it does, DefunSAK contains the kind. If not, DefunNoSAK
--- contains whatever information is known about its type variable binders
--- and result kind.
--- See Note [Defunctionalization game plan] for details on how this
--- information is used.
-data DefunKindInfo
-  = DefunSAK DKind
-  | DefunNoSAK [DTyVarBndrUnit] (Maybe DKind)
-
--- Shorthand for building (k1 ~> k2)
-buildTyFunArrow :: DKind -> DKind -> DKind
-buildTyFunArrow k1 k2 = DConT tyFunArrowName `DAppT` k1 `DAppT` k2
-
-buildTyFunArrow_maybe :: Maybe DKind -> Maybe DKind -> Maybe DKind
-buildTyFunArrow_maybe m_k1 m_k2 = buildTyFunArrow <$> m_k1 <*> m_k2
-
-{-
-Note [Defunctionalization game plan]
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-Generating defunctionalization symbols involves a surprising amount of
-complexity. This Note gives a broad overview of what happens during
-defunctionalization and highlights various design considerations.
-As a working example, we will use the following type family:
-
-  type Foo :: forall c a b. a -> b -> c -> c
-  type family Foo x y z where ...
-
-We must generate a defunctionalization symbol for every number of arguments
-to which Foo can be partially applied. We do so by generating the following
-declarations:
-
-  type FooSym0 :: forall c a b. a ~> b ~> c ~> c
-  data FooSym0 f where
-   FooSym0KindInference :: SameKind (Apply FooSym0 arg) (FooSym1 arg)
-                        => FooSym0 f
-  type instance Apply FooSym0 x = FooSym1 x
-
-  type FooSym1 :: forall c a b. a -> b ~> c ~> c
-  data FooSym1 x f where
-    FooSym1KindInference :: SameKind (Apply (FooSym1 a) arg) (FooSym2 a arg)
-                         => FooSym1 a f
-  type instance Apply (FooSym1 x) y = FooSym2 x y
-
-  type FooSym2 :: forall c a b. a -> b -> c ~> c
-  data FooSym2 x y f where
-    FooSym2KindInference :: SameKind (Apply (FooSym2 x y) arg) (FooSym3 x y arg)
-                         => FooSym2 x y f
-  type instance Apply (FooSym2 x y) z = Foo x y z
-
-  type FooSym3 :: forall c a b. a -> b -> c -> c
-  type family FooSym3 x y z where
-    FooSym3 x y z = Foo x y z
-
-Some things to note:
-
-* Each defunctionalization symbol has its own standalone kind signature. The
-  number after `Sym` in each symbol indicates the number of leading -> arrows
-  in its kind—that is, the number of arguments to which it can be applied
-  directly to without the use of the Apply type family.
-
-  See "Wrinkle 1: Partial kinds" below for what happens if the declaration
-  being defunctionalized does *not* have a standalone kind signature.
-
-* Each data declaration has a constructor with the suffix `-KindInference`
-  in its name. These are redundant in the particular case of Foo, where the
-  kind is already known. They play a more vital role when the kind of the
-  declaration being defunctionalized is only partially known.
-  See "Wrinkle 1: Partial kinds" below for more information.
-
-* FooSym3, the last defunctionalization symbol, is somewhat special in that
-  it is a type family, not a data type. These sorts of symbols are referred
-  to as "fully saturated" defunctionalization symbols.
-  See Note [Fully saturated defunctionalization symbols].
-
-* If Foo had a fixity declaration (e.g., infixl 4 `Foo`), then we would also
-  generate fixity declarations for each defunctionalization symbol (e.g.,
-  infixl 4 `FooSym0`).
-  See Note [Fixity declarations for defunctionalization symbols].
-
-* Foo has a vanilla kind signature. (See
-  Note [Vanilla-type validity checking during promotion] in D.S.TH.Promote.Type
-  for what "vanilla" means in this context.) Having a vanilla type signature is
-  important, as it is a property that makes it much simpler to preserve the
-  order of type variables (`forall c a b.`) in each of the defunctionalization
-  symbols.
-
-  That being said, it is not strictly required that the kind be vanilla. There
-  is another approach that can be used to defunctionalize things with
-  non-vanilla types, at the possible expense of having different type variable
-  orders between different defunctionalization symbols.
-  See "Wrinkle 2: Non-vanilla kinds" below for more information.
-
------
--- Wrinkle 1: Partial kinds
------
-
-The Foo example above has a standalone kind signature, but not everything has
-this much kind information. For example, consider this:
-
-  $(singletons [d|
-    type family Not x where
-      Not False = True
-      Not True  = False
-    |])
-
-The inferred kind for Not is `Bool -> Bool`, but since Not was declared in TH
-quotes, `singletons-th` has no knowledge of this. Instead, we must rely on kind
-inference to give Not's defunctionalization symbols the appropriate kinds.
-Here is a naïve first attempt:
-
-  data NotSym0 f
-  type instance Apply NotSym0 x = Not x
-
-  type family NotSym1 x where
-    NotSym1 x = Not x
-
-NotSym1 will have the inferred kind `Bool -> Bool`, but poor NotSym0 will have
-the inferred kind `forall k. k -> Type`, which is far more general than we
-would like. We can do slightly better by supplying additional kind information
-in a data constructor, like so:
-
-  type SameKind :: k -> k -> Constraint
-  class SameKind x y = ()
-
-  data NotSym0 f where
-    NotSym0KindInference :: SameKind (Apply NotSym0 arg) (NotSym1 arg)
-                         => NotSym0 f
-
-NotSym0KindInference is not intended to ever be seen by the user. Its only
-reason for existing is its existential
-`SameKind (Apply NotSym0 arg) (NotSym1 arg)` context, which allows GHC to
-figure out that NotSym0 has kind `Bool ~> Bool`. This is a bit of a hack, but
-it works quite nicely. The only problem is that GHC is likely to warn that
-NotSym0KindInference is unused, which is annoying. To work around this, we
-mention the data constructor in an instance of a dummy class:
-
-  instance SuppressUnusedWarnings NotSym0 where
-    suppressUnusedWarnings = snd (NotSym0KindInference, ())
-
-Similarly, this SuppressUnusedWarnings class is not intended to ever be seen
-by the user. As its name suggests, it only exists to help suppress "unused
-data constructor" warnings.
-
-Some declarations have a mixture of known kinds and unknown kinds, such as in
-this example:
-
-  $(singletons [d|
-    type family Bar x (y :: Nat) (z :: Nat) :: Nat where ...
-    |])
-
-We can use the known kinds to guide kind inference. In this particular example
-of Bar, here are the defunctionalization symbols that would be generated:
-
-  data BarSym0 f where ...
-  data BarSym1 x :: Nat ~> Nat ~> Nat where ...
-  data BarSym2 x (y :: Nat) :: Nat ~> Nat where ...
-  type family BarSym3 x (y :: Nat) (z :: Nat) :: Nat where ...
-
------
--- Wrinkle 2: Non-vanilla kinds
------
-
-There is only limited support for defunctionalizing declarations with
-non-vanilla kinds. One example of something with a non-vanilla kind is the
-following, which uses a nested forall:
-
-  $(singletons [d|
-    type Baz :: forall a. a -> forall b. b -> Type
-    data Baz x y
-    |])
-
-One might envision generating the following defunctionalization symbols for
-Baz:
-
-  type BazSym0 :: forall a. a ~> forall b. b ~> Type
-  data BazSym0 f where ...
-
-  type BazSym1 :: forall a. a -> forall b. b ~> Type
-  data BazSym1 x f where ...
-
-  type BazSym2 :: forall a. a -> forall b. b -> Type
-  type family BazSym2 x y where
-    BazSym2 x y = Baz x y
-
-Unfortunately, doing so would require impredicativity, since we would have:
-
-    forall a. a ~> forall b. b ~> Type
-  = forall a. (~>) a (forall b. b ~> Type)
-  = forall a. TyFun a (forall b. b ~> Type) -> Type
-
-Note that TyFun is an ordinary data type, so having its second argument be
-(forall b. b ~> Type) is truly impredicative. As a result, trying to preserve
-nested or higher-rank foralls is a non-starter.
-
-We need not reject Baz entirely, however. We can still generate perfectly
-usable defunctionalization symbols if we are willing to sacrifice the exact
-order of foralls. When we encounter a non-vanilla kind such as Baz's, we simply
-fall back to the algorithm used when we encounter a partial kind (as described
-in "Wrinkle 1: Partial kinds" above.) In other words, we generate the
-following symbols:
-
-  data BazSym0 :: a ~> b ~> Type where ...
-  data BazSym1 (x :: a) :: b ~> Type where ...
-  type family BazSym2 (x :: a) (y :: b) :: Type where ...
-
-The kinds of BazSym0 and BazSym1 both start with `forall a b.`,
-whereas the `b` is quantified later in Baz itself. For most use cases, however,
-this is not a huge concern.
-
-Another way kinds can be non-vanilla is if they contain visible dependent
-quantification, like so:
-
-  $(singletons [d|
-    type Quux :: forall (k :: Type) -> k -> Type
-    data Quux x y
-    |])
-
-What should the kind of QuuxSym0 be? Intuitively, it should be this:
-
-  type QuuxSym0 :: forall (k :: Type) ~> k ~> Type
-
-Alas, `forall (k :: Type) ~>` simply doesn't work. See #304. But there is an
-acceptable compromise we can make that can give us defunctionalization symbols
-for Quux. Once again, we fall back to the partial kind algorithm:
-
-  data QuuxSym0 :: Type ~> k ~> Type where ...
-  data QuuxSym1 (k :: Type) :: k ~> Type where ...
-  type family QuuxSym2 (k :: Type) (x :: k) :: Type where ...
-
-The catch is that the kind of QuuxSym0, `forall k. Type ~> k ~> Type`, is
-slightly more general than it ought to be. In practice, however, this is
-unlikely to be a problem as long as you apply QuuxSym0 to arguments of the
-right kinds.
-
-Note [Fully saturated defunctionalization symbols]
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-When generating defunctionalization symbols, most of the symbols are data
-types. The last one, however, is a type family. For example, this code:
-
-  $(singletons [d|
-    type Const :: a -> b -> a
-    type Const x y = x
-    |])
-
-Will generate the following symbols:
-
-  type ConstSym0 :: a ~> b ~> a
-  data ConstSym0 f where ...
-
-  type ConstSym1 :: a -> b ~> a
-  data ConstSym1 x f where ...
-
-  type ConstSym2 :: a -> b -> a
-  type family ConstSym2 x y where
-    ConstSym2 x y = Const x y
-
-ConstSym2, the sole type family of the bunch, is what is referred to as a
-"fully saturated" defunctionaliztion symbol.
-
-At first glance, ConstSym2 may not seem terribly useful, since it is
-effectively a thin wrapper around the original Const type. Indeed, fully
-saturated symbols almost never appear directly in user-written code. Instead,
-they are most valuable in TH-generated code, as singletons-th often generates code
-that directly applies a defunctionalization symbol to some number of arguments
-(see, for instance, D.S.TH.Names.promoteTySym). In theory, such code could carve
-out a special case for fully saturated applications and apply the original
-type instead of a defunctionalization symbol, but determining when an
-application is fully saturated is often difficult in practice. As a result, it
-is more convenient to just generate code that always applies FuncSymN to N
-arguments, and to let fully saturated defunctionalization symbols handle the
-case where N equals the number of arguments needed to fully saturate Func.
-
-One might wonder if, instead of using a closed type family with a single
-equation, we could use a type synonym to define ConstSym2:
-
-  type ConstSym2 :: a -> b -> a
-  type ConstSym2 x y = Const x y
-
-This approach has various downsides which make it impractical:
-
-* Type synonyms are often not expanded in the output of GHCi's :kind! command.
-  As issue #445 chronicles, this can significantly impact the readability of
-  even simple :kind! queries. It can be the difference between this:
-
-    λ> :kind! Map IdSym0 '[1,2,3]
-    Map IdSym0 '[1,2,3] :: [Nat]
-    = 1 :@#@$$$ '[2, 3]
-
-  And this:
-
-    λ> :kind! Map IdSym0 '[1,2,3]
-    Map IdSym0 '[1,2,3] :: [Nat]
-    = '[1, 2, 3]
-
-  Making fully saturated defunctionalization symbols like (:@#@$$$) type
-  families makes this issue moot, since :kind! always expands type families.
-* There are a handful of corner cases where using type synonyms can actually
-  make fully saturated defunctionalization symbols fail to typecheck.
-  Here is one such corner case:
-
-    $(promote [d|
-      class Applicative f where
-        pure :: a -> f a
-        ...
-        (*>) :: f a -> f b -> f b
-      |])
-
-    ==>
-
-    class PApplicative f where
-      type Pure (x :: a) :: f a
-      type (*>) (x :: f a) (y :: f b) :: f b
-
-  What would happen if we were to defunctionalize the promoted version of (*>)?
-  We'd end up with the following defunctionalization symbols:
-
-    type (*>@#@$)   :: f a ~> f b ~> f b
-    data (*>@#@$) f where ...
-
-    type (*>@#@$$)  :: f a -> f b ~> f b
-    data (*>@#@$$) x f where ...
-
-    type (*>@#@$$$) :: f a -> f b -> f b
-    type (*>@#@$$$) x y = (*>) x y
-
-  It turns out, however, that (*>@#@$$$) will not kind-check. Because (*>@#@$$$)
-  has a standalone kind signature, it is kind-generalized *before* kind-checking
-  the actual definition itself. Therefore, the full kind is:
-
-    type (*>@#@$$$) :: forall {k} (f :: k -> Type) (a :: k) (b :: k).
-                       f a -> f b -> f b
-    type (*>@#@$$$) x y = (*>) x y
-
-  However, the kind of (*>) is
-  `forall (f :: Type -> Type) (a :: Type) (b :: Type). f a -> f b -> f b`.
-  This is not general enough for (*>@#@$$$), which expects kind-polymorphic `f`,
-  `a`, and `b`, leading to a kind error. You might think that we could somehow
-  infer this information, but note the quoted definition of Applicative (and
-  PApplicative, as a consequence) omits the kinds of `f`, `a`, and `b` entirely.
-  Unless we were to implement full-blown kind inference inside of Template
-  Haskell (which is a tall order), the kind `f a -> f b -> f b` is about as good
-  as we can get.
-
-  Making (*>@#@$$$) a type family rather than a type synonym avoids this issue
-  since type family equations are allowed to match on kind arguments. In this
-  example, (*>@#@$$$) would have kind-polymorphic `f`, `a`, and `b` in its kind
-  signature, but its equation would implicitly equate `k` with `Type`. Note
-  that (*>@#@$) and (*>@#@$$), which are GADTs, also use a similar trick by
-  equating `k` with `Type` in their GADT constructors.
-
------
--- Wrinkle: avoiding reduction stack overflows
------
-
-A naïve attempt at declaring all fully saturated defunctionalization symbols
-as type families can make certain programs overflow the reduction stack, such
-as the T445 test case. This is because when evaluating
-`FSym0 `Apply` x_1 `Apply` ... `Apply` x_N`, (where F is a promoted function
-that requires N arguments), we will eventually bottom out by evaluating
-`FSymN x_1 ... x_N`, where FSymN is a fully saturated defunctionalization
-symbol. Since FSymN is a type family, this is yet another type family
-reduction that contributes to the overall reduction limit. This might not
-seem like a lot, but it can add up if F is invoked several times in a single
-type-level computation!
-
-Fortunately, we can bypass evaluating FSymN entirely by just making a slight
-tweak to the TH machinery. Instead of generating this Apply instance:
-
-  type instance Apply (FSym{N-1} x_1 ... x_{N-1}) x_N =
-    FSymN x_1 ... x_{N-1} x_N
-
-Generate this instance, which jumps straight to F:
-
-  type instance Apply (FSym{N-1} x_1 ... x_{N-1}) x_N =
-    F x_1 ... x_{N-1} x_N
-
-Now evaluating `FSym0 `Apply` x_1 `Apply` ... `Apply` x_N` will require one
-less type family reduction. In practice, this is usually enough to keep the
-reduction limit at bay in most situations.
-
-Note [Fixity declarations for defunctionalization symbols]
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-Just like we promote fixity declarations, we should also generate fixity
-declarations for defunctionaliztion symbols. A primary use case is the
-following scenario:
-
-  (.) :: (b -> c) -> (a -> b) -> (a -> c)
-  (f . g) x = f (g x)
-  infixr 9 .
-
-One often writes (f . g . h) at the value level, but because (.) is promoted
-to a type family with three arguments, this doesn't directly translate to the
-type level. Instead, one must write this:
-
-  f .@#@$$$ g .@#@$$$ h
-
-But in order to ensure that this associates to the right as expected, one must
-generate an `infixr 9 .@#@#$$$` declaration. This is why defunctionalize accepts
-a Maybe Fixity argument.
--}
+{-# LANGUAGE TemplateHaskellQuotes #-}++{- Data/Singletons/TH/Promote/Defun.hs++(c) Richard Eisenberg, Jan Stolarek 2014+rae@cs.brynmawr.edu++This file creates defunctionalization symbols for types during promotion.+-}++module Data.Singletons.TH.Promote.Defun where++import Language.Haskell.TH.Desugar+import Language.Haskell.TH.Syntax+import Data.Singletons.TH.Names+import Data.Singletons.TH.Options+import Data.Singletons.TH.Promote.Monad+import Data.Singletons.TH.Promote.Type+import Data.Singletons.TH.Syntax+import Data.Singletons.TH.Util+import Control.Monad+import qualified Data.Map.Strict as Map+import Data.Map.Strict (Map)+import Data.Maybe++defunInfo :: DInfo -> PrM [DDec]+defunInfo (DTyConI dec _instances) = buildDefunSyms dec+defunInfo (DPrimTyConI _name _numArgs _unlifted) =+  fail $ "Building defunctionalization symbols of primitive " +++         "type constructors not supported"+defunInfo (DVarI _name _ty _mdec) =+  fail "Building defunctionalization symbols of values not supported"+defunInfo (DTyVarI _name _ty) =+  fail "Building defunctionalization symbols of type variables not supported"+defunInfo (DPatSynI {}) =+  fail "Building defunctionalization symbols of pattern synonyms not supported"++-- Defunctionalize type families defined at the top level (i.e., not associated+-- with a type class).+defunTopLevelTypeDecls ::+     [TySynDecl]+  -> [ClosedTypeFamilyDecl]+  -> [OpenTypeFamilyDecl]+  -> PrM ()+defunTopLevelTypeDecls ty_syns c_tyfams o_tyfams = do+  defun_ty_syns <-+    concatMapM (\(TySynDecl name tvbs rhs) -> buildDefunSymsTySynD name tvbs rhs) ty_syns+  defun_c_tyfams <-+    concatMapM (buildDefunSymsClosedTypeFamilyD . getTypeFamilyDecl) c_tyfams+  defun_o_tyfams <-+    concatMapM (buildDefunSymsOpenTypeFamilyD . getTypeFamilyDecl) o_tyfams+  emitDecs $ defun_ty_syns ++ defun_c_tyfams ++ defun_o_tyfams++-- Defunctionalize all the type families associated with a type class.+defunAssociatedTypeFamilies ::+     [DTyVarBndrVis]      -- The type variables bound by the parent class+  -> [OpenTypeFamilyDecl] -- The type families associated with the parent class+  -> PrM ()+defunAssociatedTypeFamilies cls_tvbs atfs = do+  defun_atfs <- concatMapM defun atfs+  emitDecs defun_atfs+  where+    defun :: OpenTypeFamilyDecl -> PrM [DDec]+    defun (TypeFamilyDecl tf_head) =+      buildDefunSymsTypeFamilyHead ascribe_tf_tvb_kind id tf_head++    -- Maps class-bound type variables to their kind annotations (if supplied).+    -- For example, `class C (a :: Bool) b (c :: Type)` will produce+    -- {a |-> Bool, c |-> Type}.+    cls_tvb_kind_map :: Map Name DKind+    cls_tvb_kind_map = Map.fromList [ (extractTvbName tvb, tvb_kind)+                                    | tvb <- cls_tvbs+                                    , Just tvb_kind <- [extractTvbKind tvb]+                                    ]++    -- If the parent class lacks a SAK, we cannot safely default kinds to+    -- Type. All we can do is make use of whatever kind information that parent+    -- class provides and let kind inference do the rest.+    --+    -- We can sometimes learn more specific information about unannotated type+    -- family binders from the parent class, as in the following example:+    --+    --   class C (a :: Bool) where+    --     type T a :: Type+    --+    -- Here, we know that `T :: Bool -> Type` because we can infer that the `a`+    -- in `type T a` should be of kind `Bool` from the class SAK.+    ascribe_tf_tvb_kind :: DTyVarBndrVis -> DTyVarBndrVis+    ascribe_tf_tvb_kind tvb =+      case tvb of+        DKindedTV{}  -> tvb+        DPlainTV n _ -> maybe tvb (DKindedTV n BndrReq) $ Map.lookup n cls_tvb_kind_map++buildDefunSyms :: DDec -> PrM [DDec]+buildDefunSyms dec =+  case dec of+    DDataD _new_or_data _cxt _tyName _tvbs _k ctors _derivings ->+      buildDefunSymsDataD ctors+    DClosedTypeFamilyD tf_head _ ->+      buildDefunSymsClosedTypeFamilyD tf_head+    DOpenTypeFamilyD tf_head ->+      buildDefunSymsOpenTypeFamilyD tf_head+    DTySynD name tvbs rhs ->+      buildDefunSymsTySynD name tvbs rhs+    DClassD _cxt name tvbs _fundeps _members ->+      defunReify name tvbs (Just (DConT constraintName))+    _ -> fail $ "Defunctionalization symbols can only be built for " +++                "type families and data declarations"++-- Unlike open type families, closed type families that lack SAKS do not+-- default anything to Type, instead relying on kind inference to figure out+-- unspecified kinds.+buildDefunSymsClosedTypeFamilyD :: DTypeFamilyHead -> PrM [DDec]+buildDefunSymsClosedTypeFamilyD = buildDefunSymsTypeFamilyHead id id++-- If an open type family lacks a SAK and has type variable binders or a result+-- without explicit kinds, then they default to Type (hence the uses of+-- default{Tvb,Maybe}ToTypeKind).+buildDefunSymsOpenTypeFamilyD :: DTypeFamilyHead -> PrM [DDec]+buildDefunSymsOpenTypeFamilyD =+  buildDefunSymsTypeFamilyHead defaultTvbToTypeKind (Just . defaultMaybeToTypeKind)++buildDefunSymsTypeFamilyHead+  :: (DTyVarBndrVis -> DTyVarBndrVis) -- How to default each type variable binder+  -> (Maybe DKind -> Maybe DKind)     -- How to default the result kind+  -> DTypeFamilyHead -> PrM [DDec]+buildDefunSymsTypeFamilyHead default_tvb default_kind+    (DTypeFamilyHead name tvbs result_sig _) = do+  let arg_tvbs = map default_tvb tvbs+      res_kind = default_kind (resultSigToMaybeKind result_sig)+  defunReify name arg_tvbs res_kind++buildDefunSymsTySynD :: Name -> [DTyVarBndrVis] -> DType -> PrM [DDec]+buildDefunSymsTySynD name tvbs rhs = defunReify name tvbs mb_res_kind+  where+    -- If a type synonym lacks a SAK, we can "infer" its result kind by+    -- checking for an explicit kind annotation on the right-hand side.+    mb_res_kind :: Maybe DKind+    mb_res_kind = case rhs of+                    DSigT _ k -> Just k+                    _         -> Nothing++buildDefunSymsDataD :: [DCon] -> PrM [DDec]+buildDefunSymsDataD ctors =+  concatMapM promoteCtor ctors+  where+    promoteCtor :: DCon -> PrM [DDec]+    promoteCtor (DCon tvbs _ name fields res_ty) = do+      opts <- getOptions+      let name'   = promotedDataTypeOrConName opts name+          arg_tys = tysOfConFields fields+      arg_kis <- traverse promoteType_NC arg_tys+      res_ki  <- promoteType_NC res_ty+      let con_ki = ravelVanillaDType tvbs [] arg_kis res_ki+      m_fixity <- reifyFixityWithLocals name'+      defunctionalize name' m_fixity $ DefunSAK con_ki++-- Generate defunctionalization symbols for a name, using reifyFixityWithLocals+-- to determine what the fixity of each symbol should be+-- (see Note [Fixity declarations for defunctionalization symbols])+-- and dsReifyType to determine whether defunctionalization should make use+-- of SAKs or not (see Note [Defunctionalization game plan]).+defunReify :: Name            -- Name of the declaration to be defunctionalized+           -> [DTyVarBndrVis] -- The declaration's type variable binders+                              -- (only used if the declaration lacks a SAK)+           -> Maybe DKind     -- The declaration's return kind, if it has one+                              -- (only used if the declaration lacks a SAK)+           -> PrM [DDec]+defunReify name tvbs m_res_kind = do+  m_fixity <- reifyFixityWithLocals name+  m_sak    <- dsReifyType name+  let defun = defunctionalize name m_fixity+  case m_sak of+    Just sak -> defun $ DefunSAK sak+    Nothing  -> defun $ DefunNoSAK tvbs m_res_kind++-- Generate symbol data types, Apply instances, and other declarations required+-- for defunctionalization.+-- See Note [Defunctionalization game plan] for an overview of the design+-- considerations involved.+defunctionalize :: Name+                -> Maybe Fixity+                -> DefunKindInfo+                -> PrM [DDec]+defunctionalize name m_fixity defun_ki = do+  case defun_ki of+    DefunSAK sak ->+      -- Even if a declaration has a SAK, its kind may not be vanilla.+      case unravelVanillaDType_either sak of+        -- If the kind isn't vanilla, use the fallback approach.+        -- See Note [Defunctionalization game plan],+        -- Wrinkle 2: Non-vanilla kinds.+        Left _ -> defun_fallback [] (Just sak)+        -- Otherwise, proceed with defun_vanilla_sak.+        Right (sak_tvbs, _sak_cxt, sak_arg_kis, sak_res_ki)+               -> defun_vanilla_sak sak_tvbs sak_arg_kis sak_res_ki+    -- If a declaration lacks a SAK, it likely has a partial kind.+    -- See Note [Defunctionalization game plan], Wrinkle 1: Partial kinds.+    DefunNoSAK tvbs m_res -> defun_fallback tvbs m_res+  where+    -- Generate defunctionalization symbols for things with vanilla SAKs.+    -- The symbols themselves will also be given SAKs.+    defun_vanilla_sak :: [DTyVarBndrSpec] -> [DKind] -> DKind -> PrM [DDec]+    defun_vanilla_sak sak_tvbs sak_arg_kis sak_res_ki = do+      opts <- getOptions+      extra_name <- qNewName "arg"+      let sak_arg_n = length sak_arg_kis+      -- Use noExactName below to avoid GHC#17537.+      -- See also Note [Pitfalls of NameU/NameL] in Data.Singletons.TH.Util.+      arg_names <- replicateM sak_arg_n (noExactName <$> qNewName "a")++      let -- The inner loop. @go n arg_nks res_nks@ returns @(res_k, decls)@.+          -- Using one particular example:+          --+          -- @+          -- type ExampleSym2 :: a -> b -> c ~> d ~> Type+          -- data ExampleSym2 (x :: a) (y :: b) :: c ~> d ~> Type where ...+          -- type instance Apply (ExampleSym2 x y) z = ExampleSym3 x y z+          -- ...+          -- @+          --+          -- We have:+          --+          -- * @n@ is 2. This is incremented in each iteration of `go`.+          --+          -- * @arg_nks@ is [(x, a), (y, b)]. Each element in this list is a+          -- (type variable name, type variable kind) pair. The kinds appear in+          -- the SAK, separated by matchable arrows (->).+          --+          -- * @res_tvbs@ is [(z, c), (w, d)]. Each element in this list is a+          -- (type variable name, type variable kind) pair. The kinds appear in+          -- @res_k@, separated by unmatchable arrows (~>).+          --+          -- * @res_k@ is `c ~> d ~> Type`. @res_k@ is returned so that earlier+          --   defunctionalization symbols can build on the result kinds of+          --   later symbols. For instance, ExampleSym1 would get the result+          --   kind `b ~> c ~> d ~> Type` by prepending `b` to ExampleSym2's+          --   result kind `c ~> d ~> Type`.+          --+          -- * @decls@ are all of the declarations corresponding to ExampleSym2+          --   and later defunctionalization symbols. This is the main payload of+          --   the function.+          --+          -- Note that the body of ExampleSym2 redundantly includes the+          -- argument kinds and result kind, which are already stated in the+          -- standalone kind signature. This is a deliberate choice.+          -- See Note [Keep redundant kind information for Haddocks]+          -- in D.S.TH.Promote.+          --+          -- This function is quadratic because it appends a variable at the end of+          -- the @arg_nks@ list at each iteration. In practice, this is unlikely+          -- to be a performance bottleneck since the number of arguments rarely+          -- gets to be that large.+          go :: Int -> [(Name, DKind)] -> [(Name, DKind)] -> (DKind, [DDec])+          go n arg_nks res_nkss =+            let arg_tvbs :: [DTyVarBndrVis]+                arg_tvbs = map (\(na, ki) -> DKindedTV na BndrReq ki) arg_nks++                mk_sak_dec :: DKind -> DDec+                mk_sak_dec res_ki =+                  DKiSigD (defunctionalizedName opts name n) $+                  ravelVanillaDType sak_tvbs [] (map snd arg_nks) res_ki in+            case res_nkss of+              [] ->+                let sat_sak_dec = mk_sak_dec sak_res_ki+                    sat_decs    = mk_sat_decs opts n arg_tvbs (Just sak_res_ki)+                in (sak_res_ki, sat_sak_dec:sat_decs)+              res_nk:res_nks ->+                let (res_ki, decs)   = go (n+1) (arg_nks ++ [res_nk]) res_nks+                    tyfun            = buildTyFunArrow (snd res_nk) res_ki+                    defun_sak_dec    = mk_sak_dec tyfun+                    defun_other_decs = mk_defun_decs opts n sak_arg_n+                                                     arg_tvbs (fst res_nk)+                                                     extra_name (Just tyfun)+                in (tyfun, defun_sak_dec:defun_other_decs ++ decs)++      pure $ snd $ go 0 [] $ zip arg_names sak_arg_kis++    -- If defun_sak can't be used to defunctionalize something, this fallback+    -- approach is used. This is used when defunctionalizing something with a+    -- partial kind+    -- (see Note [Defunctionalization game plan], Wrinkle 1: Partial kinds)+    -- or a non-vanilla kind+    -- (see Note [Defunctionalization game plan], Wrinkle 2: Non-vanilla kinds).+    defun_fallback :: [DTyVarBndrVis] -> Maybe DKind -> PrM [DDec]+    defun_fallback tvbs' m_res' = do+      opts <- getOptions+      extra_name <- qNewName "arg"+      -- Use noExactTyVars below to avoid GHC#11812.+      -- See also Note [Pitfalls of NameU/NameL] in Data.Singletons.TH.Util.+      (tvbs, m_res) <- eta_expand (noExactTyVars tvbs') (noExactTyVars m_res')++      let tvbs_n = length tvbs++          -- The inner loop. @go n arg_tvbs res_tvbs@ returns @(m_res_k, decls)@.+          -- Using one particular example:+          --+          -- @+          -- data ExampleSym2 (x :: a) y :: c ~> d ~> Type where ...+          -- type instance Apply (ExampleSym2 x y) z = ExampleSym3 x y z+          -- ...+          -- @+          --+          -- This works very similarly to the `go` function in+          -- `defun_vanilla_sak`. The main differences are:+          --+          -- * This function does not produce any SAKs for defunctionalization+          --   symbols.+          --+          -- * Instead of [(Name, DKind)], this function uses [DTyVarBndr] as+          --   the types of @arg_tvbs@ and @res_tvbs@. This is because the+          --   kinds are not always known. By a similar token, this function+          --   uses Maybe DKind, not DKind, as the type of @m_res_k@, since+          --   the result kind is not always fully known.+          go :: Int -> [DTyVarBndrVis] -> [DTyVarBndrVis] -> (Maybe DKind, [DDec])+          go n arg_tvbs res_tvbss =+            case res_tvbss of+              [] ->+                let sat_decs = mk_sat_decs opts n arg_tvbs m_res+                in (m_res, sat_decs)+              res_tvb:res_tvbs ->+                let (m_res_ki, decs) = go (n+1) (arg_tvbs ++ [res_tvb]) res_tvbs+                    m_tyfun          = buildTyFunArrow_maybe (extractTvbKind res_tvb)+                                                             m_res_ki+                    defun_decs'      = mk_defun_decs opts n tvbs_n arg_tvbs+                                                     (extractTvbName res_tvb)+                                                     extra_name m_tyfun+                in (m_tyfun, defun_decs' ++ decs)++      pure $ snd $ go 0 [] tvbs++    mk_defun_decs :: Options+                  -> Int+                  -> Int+                  -> [DTyVarBndrVis]+                  -> Name+                  -> Name+                  -> Maybe DKind+                  -> [DDec]+    mk_defun_decs opts n fully_sat_n arg_tvbs tyfun_name extra_name m_tyfun =+      let data_name   = defunctionalizedName opts name n+          next_name   = defunctionalizedName opts name (n+1)+          con_name    = prefixName "" ":" $ suffixName "KindInference" "###" data_name+          params      = arg_tvbs ++ [DPlainTV tyfun_name BndrReq]+          con_eq_ct   = DConT sameKindName `DAppT` lhs `DAppT` rhs+            where+              lhs = app_data_ty `apply` DVarT extra_name+              rhs = foldTypeTvbs (DConT next_name)+                      (arg_tvbs ++ [DPlainTV extra_name BndrReq])+          con_decl    = DCon [] [con_eq_ct] con_name (DNormalC False [])+                             (foldTypeTvbs (DConT data_name) params)+          data_decl   = DDataD Data [] data_name args m_tyfun [con_decl] []+            where+              args | isJust m_tyfun = arg_tvbs+                   | otherwise      = params+          app_data_ty = foldTypeTvbs (DConT data_name) arg_tvbs+          app_eqn     = DTySynEqn Nothing+                                  (DConT applyName `DAppT` app_data_ty+                                                   `DAppT` DVarT tyfun_name)+                                  (foldTypeTvbs (DConT app_eqn_rhs_name) params)+          -- If the next defunctionalization symbol is fully saturated, then+          -- use the original declaration name instead.+          -- See Note [Fully saturated defunctionalization symbols]+          -- (Wrinkle: avoiding reduction stack overflows).+          app_eqn_rhs_name | n+1 == fully_sat_n = name+                           | otherwise          = next_name+          app_decl    = DTySynInstD app_eqn+          suppress    = DInstanceD Nothing Nothing []+                          (DConT suppressClassName `DAppT` app_data_ty)+                          [DLetDec $ DFunD suppressMethodName+                                           [DClause []+                                                    ((DVarE 'snd) `DAppE`+                                                     mkTupleDExp [DConE con_name,+                                                                  mkTupleDExp []])]]++          -- See Note [Fixity declarations for defunctionalization symbols]+          fixity_decl = maybeToList $ fmap (mk_fix_decl data_name) m_fixity+      in data_decl : app_decl : suppress : fixity_decl++    -- Generate a "fully saturated" defunction symbol, along with a fixity+    -- declaration (if needed).+    -- See Note [Fully saturated defunctionalization symbols].+    mk_sat_decs :: Options -> Int -> [DTyVarBndrVis] -> Maybe DKind -> [DDec]+    mk_sat_decs opts n sat_tvbs m_sat_res =+      let sat_name = defunctionalizedName opts name n+          sat_dec  = DClosedTypeFamilyD+                       (DTypeFamilyHead sat_name sat_tvbs+                                        (maybeKindToResultSig m_sat_res) Nothing)+                       [DTySynEqn Nothing+                                  (foldTypeTvbs (DConT sat_name) sat_tvbs)+                                  (foldTypeTvbs (DConT name)     sat_tvbs)]+          sat_fixity_dec = maybeToList $ fmap (mk_fix_decl sat_name) m_fixity+      in sat_dec : sat_fixity_dec++    -- Generate extra kind variable binders corresponding to the number of+    -- arrows in the return kind (if provided). Examples:+    --+    -- >>> eta_expand [(x :: a), (y :: b)] (Just (c -> Type))+    -- ([(x :: a), (y :: b), (e :: c)], Just Type)+    --+    -- >>> eta_expand [(x :: a), (y :: b)] Nothing+    -- ([(x :: a), (y :: b)], Nothing)+    eta_expand :: [DTyVarBndrVis] -> Maybe DKind -> PrM ([DTyVarBndrVis], Maybe DKind)+    eta_expand m_arg_tvbs Nothing = pure (m_arg_tvbs, Nothing)+    eta_expand m_arg_tvbs (Just res_kind) = do+        let (arg_ks, result_k) = unravelDType res_kind+            vis_arg_ks = filterDVisFunArgs arg_ks+        extra_arg_tvbs <- traverse mk_extra_tvb vis_arg_ks+        pure (m_arg_tvbs ++ extra_arg_tvbs, Just result_k)++    -- Convert a DVisFunArg to a DTyVarBndr, generating a fresh type variable+    -- name if the DVisFunArg is an anonymous argument.+    mk_extra_tvb :: DVisFunArg -> PrM DTyVarBndrVis+    mk_extra_tvb vfa =+      case vfa of+        DVisFADep tvb -> pure (BndrReq <$ tvb)+        DVisFAAnon k  -> (\n -> DKindedTV n BndrReq k) <$>+                           -- Use noExactName below to avoid GHC#19743.+                           -- See also Note [Pitfalls of NameU/NameL]+                           -- in Data.Singletons.TH.Util.+                           (noExactName <$> qNewName "e")++    mk_fix_decl :: Name -> Fixity -> DDec+    mk_fix_decl n f = DLetDec $ DInfixD f n++-- Indicates whether the type being defunctionalized has a standalone kind+-- signature. If it does, DefunSAK contains the kind. If not, DefunNoSAK+-- contains whatever information is known about its type variable binders+-- and result kind.+-- See Note [Defunctionalization game plan] for details on how this+-- information is used.+data DefunKindInfo+  = DefunSAK DKind+  | DefunNoSAK [DTyVarBndrVis] (Maybe DKind)++-- Shorthand for building (k1 ~> k2)+buildTyFunArrow :: DKind -> DKind -> DKind+buildTyFunArrow k1 k2 = DConT tyFunArrowName `DAppT` k1 `DAppT` k2++buildTyFunArrow_maybe :: Maybe DKind -> Maybe DKind -> Maybe DKind+buildTyFunArrow_maybe m_k1 m_k2 = buildTyFunArrow <$> m_k1 <*> m_k2++{-+Note [Defunctionalization game plan]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+Generating defunctionalization symbols involves a surprising amount of+complexity. This Note gives a broad overview of what happens during+defunctionalization and highlights various design considerations.+As a working example, we will use the following type family:++  type Foo :: forall c a b. a -> b -> c -> c+  type family Foo x y z where ...++We must generate a defunctionalization symbol for every number of arguments+to which Foo can be partially applied. We do so by generating the following+declarations:++  type FooSym0 :: forall c a b. a ~> b ~> c ~> c+  data FooSym0 f where+   FooSym0KindInference :: SameKind (Apply FooSym0 arg) (FooSym1 arg)+                        => FooSym0 f+  type instance Apply FooSym0 x = FooSym1 x++  type FooSym1 :: forall c a b. a -> b ~> c ~> c+  data FooSym1 x f where+    FooSym1KindInference :: SameKind (Apply (FooSym1 a) arg) (FooSym2 a arg)+                         => FooSym1 a f+  type instance Apply (FooSym1 x) y = FooSym2 x y++  type FooSym2 :: forall c a b. a -> b -> c ~> c+  data FooSym2 x y f where+    FooSym2KindInference :: SameKind (Apply (FooSym2 x y) arg) (FooSym3 x y arg)+                         => FooSym2 x y f+  type instance Apply (FooSym2 x y) z = Foo x y z++  type FooSym3 :: forall c a b. a -> b -> c -> c+  type family FooSym3 x y z where+    FooSym3 x y z = Foo x y z++Some things to note:++* Each defunctionalization symbol has its own standalone kind signature. The+  number after `Sym` in each symbol indicates the number of leading -> arrows+  in its kind—that is, the number of arguments to which it can be applied+  directly to without the use of the Apply type family.++  See "Wrinkle 1: Partial kinds" below for what happens if the declaration+  being defunctionalized does *not* have a standalone kind signature.++* Each data declaration has a constructor with the suffix `-KindInference`+  in its name. These are redundant in the particular case of Foo, where the+  kind is already known. They play a more vital role when the kind of the+  declaration being defunctionalized is only partially known.+  See "Wrinkle 1: Partial kinds" below for more information.++* FooSym3, the last defunctionalization symbol, is somewhat special in that+  it is a type family, not a data type. These sorts of symbols are referred+  to as "fully saturated" defunctionalization symbols.+  See Note [Fully saturated defunctionalization symbols].++* If Foo had a fixity declaration (e.g., infixl 4 `Foo`), then we would also+  generate fixity declarations for each defunctionalization symbol (e.g.,+  infixl 4 `FooSym0`).+  See Note [Fixity declarations for defunctionalization symbols].++* Foo has a vanilla kind signature. (See+  Note [Vanilla-type validity checking during promotion] in D.S.TH.Promote.Type+  for what "vanilla" means in this context.) Having a vanilla type signature is+  important, as it is a property that makes it much simpler to preserve the+  order of type variables (`forall c a b.`) in each of the defunctionalization+  symbols.++  That being said, it is not strictly required that the kind be vanilla. There+  is another approach that can be used to defunctionalize things with+  non-vanilla types, at the possible expense of having different type variable+  orders between different defunctionalization symbols.+  See "Wrinkle 2: Non-vanilla kinds" below for more information.++-----+-- Wrinkle 1: Partial kinds+-----++The Foo example above has a standalone kind signature, but not everything has+this much kind information. For example, consider this:++  $(singletons [d|+    type family Not x where+      Not False = True+      Not True  = False+    |])++The inferred kind for Not is `Bool -> Bool`, but since Not was declared in TH+quotes, `singletons-th` has no knowledge of this. Instead, we must rely on kind+inference to give Not's defunctionalization symbols the appropriate kinds.+Here is a naïve first attempt:++  data NotSym0 f+  type instance Apply NotSym0 x = Not x++  type family NotSym1 x where+    NotSym1 x = Not x++NotSym1 will have the inferred kind `Bool -> Bool`, but poor NotSym0 will have+the inferred kind `forall k. k -> Type`, which is far more general than we+would like. We can do slightly better by supplying additional kind information+in a data constructor, like so:++  type SameKind :: k -> k -> Constraint+  class SameKind x y = ()++  data NotSym0 f where+    NotSym0KindInference :: SameKind (Apply NotSym0 arg) (NotSym1 arg)+                         => NotSym0 f++NotSym0KindInference is not intended to ever be seen by the user. Its only+reason for existing is its existential+`SameKind (Apply NotSym0 arg) (NotSym1 arg)` context, which allows GHC to+figure out that NotSym0 has kind `Bool ~> Bool`. This is a bit of a hack, but+it works quite nicely. The only problem is that GHC is likely to warn that+NotSym0KindInference is unused, which is annoying. To work around this, we+mention the data constructor in an instance of a dummy class:++  instance SuppressUnusedWarnings NotSym0 where+    suppressUnusedWarnings = snd (NotSym0KindInference, ())++Similarly, this SuppressUnusedWarnings class is not intended to ever be seen+by the user. As its name suggests, it only exists to help suppress "unused+data constructor" warnings.++Some declarations have a mixture of known kinds and unknown kinds, such as in+this example:++  $(singletons [d|+    type family Bar x (y :: Nat) (z :: Nat) :: Nat where ...+    |])++We can use the known kinds to guide kind inference. In this particular example+of Bar, here are the defunctionalization symbols that would be generated:++  data BarSym0 f where ...+  data BarSym1 x :: Nat ~> Nat ~> Nat where ...+  data BarSym2 x (y :: Nat) :: Nat ~> Nat where ...+  type family BarSym3 x (y :: Nat) (z :: Nat) :: Nat where ...++-----+-- Wrinkle 2: Non-vanilla kinds+-----++There is only limited support for defunctionalizing declarations with+non-vanilla kinds. One example of something with a non-vanilla kind is the+following, which uses a nested forall:++  $(singletons [d|+    type Baz :: forall a. a -> forall b. b -> Type+    data Baz x y+    |])++One might envision generating the following defunctionalization symbols for+Baz:++  type BazSym0 :: forall a. a ~> forall b. b ~> Type+  data BazSym0 f where ...++  type BazSym1 :: forall a. a -> forall b. b ~> Type+  data BazSym1 x f where ...++  type BazSym2 :: forall a. a -> forall b. b -> Type+  type family BazSym2 x y where+    BazSym2 x y = Baz x y++Unfortunately, doing so would require impredicativity, since we would have:++    forall a. a ~> forall b. b ~> Type+  = forall a. (~>) a (forall b. b ~> Type)+  = forall a. TyFun a (forall b. b ~> Type) -> Type++Note that TyFun is an ordinary data type, so having its second argument be+(forall b. b ~> Type) is truly impredicative. As a result, trying to preserve+nested or higher-rank foralls is a non-starter.++We need not reject Baz entirely, however. We can still generate perfectly+usable defunctionalization symbols if we are willing to sacrifice the exact+order of foralls. When we encounter a non-vanilla kind such as Baz's, we simply+fall back to the algorithm used when we encounter a partial kind (as described+in "Wrinkle 1: Partial kinds" above.) In other words, we generate the+following symbols:++  data BazSym0 :: a ~> b ~> Type where ...+  data BazSym1 (x :: a) :: b ~> Type where ...+  type family BazSym2 (x :: a) (y :: b) :: Type where ...++The kinds of BazSym0 and BazSym1 both start with `forall a b.`,+whereas the `b` is quantified later in Baz itself. For most use cases, however,+this is not a huge concern.++Another way kinds can be non-vanilla is if they contain visible dependent+quantification, like so:++  $(singletons [d|+    type Quux :: forall (k :: Type) -> k -> Type+    data Quux x y+    |])++What should the kind of QuuxSym0 be? Intuitively, it should be this:++  type QuuxSym0 :: forall (k :: Type) ~> k ~> Type++Alas, `forall (k :: Type) ~>` simply doesn't work. See #304. But there is an+acceptable compromise we can make that can give us defunctionalization symbols+for Quux. Once again, we fall back to the partial kind algorithm:++  data QuuxSym0 :: Type ~> k ~> Type where ...+  data QuuxSym1 (k :: Type) :: k ~> Type where ...+  type family QuuxSym2 (k :: Type) (x :: k) :: Type where ...++The catch is that the kind of QuuxSym0, `forall k. Type ~> k ~> Type`, is+slightly more general than it ought to be. In practice, however, this is+unlikely to be a problem as long as you apply QuuxSym0 to arguments of the+right kinds.++Note [Fully saturated defunctionalization symbols]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+When generating defunctionalization symbols, most of the symbols are data+types. The last one, however, is a type family. For example, this code:++  $(singletons [d|+    type Const :: a -> b -> a+    type Const x y = x+    |])++Will generate the following symbols:++  type ConstSym0 :: a ~> b ~> a+  data ConstSym0 f where ...++  type ConstSym1 :: a -> b ~> a+  data ConstSym1 x f where ...++  type ConstSym2 :: a -> b -> a+  type family ConstSym2 x y where+    ConstSym2 x y = Const x y++ConstSym2, the sole type family of the bunch, is what is referred to as a+"fully saturated" defunctionaliztion symbol.++At first glance, ConstSym2 may not seem terribly useful, since it is+effectively a thin wrapper around the original Const type. Indeed, fully+saturated symbols almost never appear directly in user-written code. Instead,+they are most valuable in TH-generated code, as singletons-th often generates code+that directly applies a defunctionalization symbol to some number of arguments+(see, for instance, D.S.TH.Names.promoteTySym). In theory, such code could carve+out a special case for fully saturated applications and apply the original+type instead of a defunctionalization symbol, but determining when an+application is fully saturated is often difficult in practice. As a result, it+is more convenient to just generate code that always applies FuncSymN to N+arguments, and to let fully saturated defunctionalization symbols handle the+case where N equals the number of arguments needed to fully saturate Func.++One might wonder if, instead of using a closed type family with a single+equation, we could use a type synonym to define ConstSym2:++  type ConstSym2 :: a -> b -> a+  type ConstSym2 x y = Const x y++This approach has various downsides which make it impractical:++* Type synonyms are often not expanded in the output of GHCi's :kind! command.+  As issue #445 chronicles, this can significantly impact the readability of+  even simple :kind! queries. It can be the difference between this:++    λ> :kind! Map IdSym0 '[1,2,3]+    Map IdSym0 '[1,2,3] :: [Nat]+    = 1 :@#@$$$ '[2, 3]++  And this:++    λ> :kind! Map IdSym0 '[1,2,3]+    Map IdSym0 '[1,2,3] :: [Nat]+    = '[1, 2, 3]++  Making fully saturated defunctionalization symbols like (:@#@$$$) type+  families makes this issue moot, since :kind! always expands type families.+* There are a handful of corner cases where using type synonyms can actually+  make fully saturated defunctionalization symbols fail to typecheck.+  Here is one such corner case:++    $(promote [d|+      class Applicative f where+        pure :: a -> f a+        ...+        (*>) :: f a -> f b -> f b+      |])++    ==>++    class PApplicative f where+      type Pure (x :: a) :: f a+      type (*>) (x :: f a) (y :: f b) :: f b++  What would happen if we were to defunctionalize the promoted version of (*>)?+  We'd end up with the following defunctionalization symbols:++    type (*>@#@$)   :: f a ~> f b ~> f b+    data (*>@#@$) f where ...++    type (*>@#@$$)  :: f a -> f b ~> f b+    data (*>@#@$$) x f where ...++    type (*>@#@$$$) :: f a -> f b -> f b+    type (*>@#@$$$) x y = (*>) x y++  It turns out, however, that (*>@#@$$$) will not kind-check. Because (*>@#@$$$)+  has a standalone kind signature, it is kind-generalized *before* kind-checking+  the actual definition itself. Therefore, the full kind is:++    type (*>@#@$$$) :: forall {k} (f :: k -> Type) (a :: k) (b :: k).+                       f a -> f b -> f b+    type (*>@#@$$$) x y = (*>) x y++  However, the kind of (*>) is+  `forall (f :: Type -> Type) (a :: Type) (b :: Type). f a -> f b -> f b`.+  This is not general enough for (*>@#@$$$), which expects kind-polymorphic `f`,+  `a`, and `b`, leading to a kind error. You might think that we could somehow+  infer this information, but note the quoted definition of Applicative (and+  PApplicative, as a consequence) omits the kinds of `f`, `a`, and `b` entirely.+  Unless we were to implement full-blown kind inference inside of Template+  Haskell (which is a tall order), the kind `f a -> f b -> f b` is about as good+  as we can get.++  Making (*>@#@$$$) a type family rather than a type synonym avoids this issue+  since type family equations are allowed to match on kind arguments. In this+  example, (*>@#@$$$) would have kind-polymorphic `f`, `a`, and `b` in its kind+  signature, but its equation would implicitly equate `k` with `Type`. Note+  that (*>@#@$) and (*>@#@$$), which are GADTs, also use a similar trick by+  equating `k` with `Type` in their GADT constructors.++-----+-- Wrinkle: avoiding reduction stack overflows+-----++A naïve attempt at declaring all fully saturated defunctionalization symbols+as type families can make certain programs overflow the reduction stack, such+as the T445 test case. This is because when evaluating+`FSym0 `Apply` x_1 `Apply` ... `Apply` x_N`, (where F is a promoted function+that requires N arguments), we will eventually bottom out by evaluating+`FSymN x_1 ... x_N`, where FSymN is a fully saturated defunctionalization+symbol. Since FSymN is a type family, this is yet another type family+reduction that contributes to the overall reduction limit. This might not+seem like a lot, but it can add up if F is invoked several times in a single+type-level computation!++Fortunately, we can bypass evaluating FSymN entirely by just making a slight+tweak to the TH machinery. Instead of generating this Apply instance:++  type instance Apply (FSym{N-1} x_1 ... x_{N-1}) x_N =+    FSymN x_1 ... x_{N-1} x_N++Generate this instance, which jumps straight to F:++  type instance Apply (FSym{N-1} x_1 ... x_{N-1}) x_N =+    F x_1 ... x_{N-1} x_N++Now evaluating `FSym0 `Apply` x_1 `Apply` ... `Apply` x_N` will require one+less type family reduction. In practice, this is usually enough to keep the+reduction limit at bay in most situations.++Note [Fixity declarations for defunctionalization symbols]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+Just like we promote fixity declarations, we should also generate fixity+declarations for defunctionaliztion symbols. A primary use case is the+following scenario:++  (.) :: (b -> c) -> (a -> b) -> (a -> c)+  (f . g) x = f (g x)+  infixr 9 .++One often writes (f . g . h) at the value level, but because (.) is promoted+to a type family with three arguments, this doesn't directly translate to the+type level. Instead, one must write this:++  f .@#@$$$ g .@#@$$$ h++But in order to ensure that this associates to the right as expected, one must+generate an `infixr 9 .@#@#$$$` declaration. This is why defunctionalize accepts+a Maybe Fixity argument.+-}
src/Data/Singletons/TH/Promote/Monad.hs view
@@ -1,117 +1,435 @@-{- Data/Singletons/TH/Promote/Monad.hs
-
-(c) Richard Eisenberg 2014
-rae@cs.brynmawr.edu
-
-This file defines the PrM monad and its operations, for use during promotion.
-
-The PrM monad allows reading from a PrEnv environment and writing to a list
-of DDec, and is wrapped around a Q.
--}
-
-module Data.Singletons.TH.Promote.Monad (
-  PrM, promoteM, promoteM_, promoteMDecs, VarPromotions,
-  allLocals, emitDecs, emitDecsM,
-  lambdaBind, LetBind, letBind, lookupVarE
-  ) where
-
-import Control.Monad.Reader
-import Control.Monad.Writer
-import Language.Haskell.TH.Syntax hiding ( lift )
-import Language.Haskell.TH.Desugar
-import qualified Language.Haskell.TH.Desugar.OMap.Strict as OMap
-import Language.Haskell.TH.Desugar.OMap.Strict (OMap)
-import Data.Singletons.TH.Options
-import Data.Singletons.TH.Syntax
-
-type LetExpansions = OMap Name DType  -- from **term-level** name
-
--- environment during promotion
-data PrEnv =
-  PrEnv { pr_options      :: Options
-        , pr_lambda_bound :: OMap Name Name
-        , pr_let_bound    :: LetExpansions
-        , pr_local_decls  :: [Dec]
-        }
-
-emptyPrEnv :: PrEnv
-emptyPrEnv = PrEnv { pr_options      = defaultOptions
-                   , pr_lambda_bound = OMap.empty
-                   , pr_let_bound    = OMap.empty
-                   , pr_local_decls  = [] }
-
--- the promotion monad
-newtype PrM a = PrM (ReaderT PrEnv (WriterT [DDec] Q) a)
-  deriving ( Functor, Applicative, Monad, Quasi
-           , MonadReader PrEnv, MonadWriter [DDec]
-           , MonadFail, MonadIO )
-
-instance DsMonad PrM where
-  localDeclarations = asks pr_local_decls
-
-instance OptionsMonad PrM where
-  getOptions = asks pr_options
-
--- return *type-level* names
-allLocals :: MonadReader PrEnv m => m [Name]
-allLocals = do
-  lambdas <- asks (OMap.assocs . pr_lambda_bound)
-  lets    <- asks pr_let_bound
-    -- filter out shadowed variables!
-  return [ typeName
-         | (termName, typeName) <- lambdas
-         , case OMap.lookup termName lets of
-             Just (DVarT typeName') | typeName' == typeName -> True
-             _                                              -> False ]
-
-emitDecs :: MonadWriter [DDec] m => [DDec] -> m ()
-emitDecs = tell
-
-emitDecsM :: MonadWriter [DDec] m => m [DDec] -> m ()
-emitDecsM action = do
-  decs <- action
-  emitDecs decs
-
--- when lambda-binding variables, we still need to add the variables
--- to the let-expansion, because of shadowing. ugh.
-lambdaBind :: VarPromotions -> PrM a -> PrM a
-lambdaBind binds = local add_binds
-  where add_binds env@(PrEnv { pr_lambda_bound = lambdas
-                             , pr_let_bound    = lets }) =
-          let new_lets = OMap.fromList [ (tmN, DVarT tyN) | (tmN, tyN) <- binds ] in
-          env { pr_lambda_bound = OMap.fromList binds `OMap.union` lambdas
-              , pr_let_bound    = new_lets            `OMap.union` lets }
-
-type LetBind = (Name, DType)
-letBind :: [LetBind] -> PrM a -> PrM a
-letBind binds = local add_binds
-  where add_binds env@(PrEnv { pr_let_bound = lets }) =
-          env { pr_let_bound = OMap.fromList binds `OMap.union` lets }
-
-lookupVarE :: Name -> PrM DType
-lookupVarE n = do
-  opts <- getOptions
-  lets <- asks pr_let_bound
-  case OMap.lookup n lets of
-    Just ty -> return ty
-    Nothing -> return $ DConT $ defunctionalizedName0 opts n
-
-promoteM :: OptionsMonad q => [Dec] -> PrM a -> q (a, [DDec])
-promoteM locals (PrM rdr) = do
-  opts         <- getOptions
-  other_locals <- localDeclarations
-  let wr = runReaderT rdr (emptyPrEnv { pr_options     = opts
-                                      , pr_local_decls = other_locals ++ locals })
-      q  = runWriterT wr
-  runQ q
-
-promoteM_ :: OptionsMonad q => [Dec] -> PrM () -> q [DDec]
-promoteM_ locals thing = do
-  ((), decs) <- promoteM locals thing
-  return decs
-
--- promoteM specialized to [DDec]
-promoteMDecs :: OptionsMonad q => [Dec] -> PrM [DDec] -> q [DDec]
-promoteMDecs locals thing = do
-  (decs1, decs2) <- promoteM locals thing
-  return $ decs1 ++ decs2
+{- Data/Singletons/TH/Promote/Monad.hs++(c) Richard Eisenberg 2014+rae@cs.brynmawr.edu++This file defines the PrM monad and its operations, for use during promotion.++The PrM monad allows reading from a PrEnv environment and writing to a list+of DDec, and is wrapped around a Q.+-}++module Data.Singletons.TH.Promote.Monad (+  PrM, promoteM, promoteM_, promoteMDecs, VarPromotions,+  allLocals, emitDecs, emitDecsM,+  scopedBind, lambdaBind, LetBind, letBind, lookupVarE+  ) where++import Control.Monad.Reader+import Control.Monad.Writer+import qualified Data.Foldable as F+import Language.Haskell.TH.Syntax hiding ( lift )+import Language.Haskell.TH.Desugar+import qualified Language.Haskell.TH.Desugar.OMap.Strict as OMap+import Language.Haskell.TH.Desugar.OMap.Strict (OMap)+import qualified Language.Haskell.TH.Desugar.OSet as OSet+import Language.Haskell.TH.Desugar.OSet (OSet)+import Data.Singletons.TH.Options+import Data.Singletons.TH.Syntax++-- environment during promotion+data PrEnv =+  PrEnv { pr_options     :: Options+        , pr_scoped_vars :: OSet Name+          -- ^ The set of scoped type variables currently in scope.+          -- See @Note [Scoped type variables]@.+        , pr_lambda_vars :: OMap Name Name+          -- ^ Map from term-level 'Name's of variables bound in lambdas and+          -- function clauses to their type-level counterparts.+          -- See @Note [Tracking local variables]@.+        , pr_local_vars  :: OMap Name DType+          -- ^ Map from term-level 'Name's of local variables to their+          -- type-level counterparts. Note that scoped type variables are stored+          -- separately in 'pr_scoped_tvs'.+          -- See @Note [Tracking local variables]@.+        , pr_local_decls :: [Dec]+        }++emptyPrEnv :: PrEnv+emptyPrEnv = PrEnv { pr_options     = defaultOptions+                   , pr_scoped_vars = OSet.empty+                   , pr_lambda_vars = OMap.empty+                   , pr_local_vars  = OMap.empty+                   , pr_local_decls = [] }++-- the promotion monad+newtype PrM a = PrM (ReaderT PrEnv (WriterT [DDec] Q) a)+  deriving ( Functor, Applicative, Monad, Quasi+           , MonadReader PrEnv, MonadWriter [DDec]+           , MonadFail, MonadIO )++instance DsMonad PrM where+  localDeclarations = asks pr_local_decls++instance OptionsMonad PrM where+  getOptions = asks pr_options++-- return *type-level* names+allLocals :: MonadReader PrEnv m => m [Name]+allLocals = do+  scoped <- asks (F.toList . pr_scoped_vars)+  lambdas <- asks (OMap.assocs . pr_lambda_vars)+  return $ scoped ++ map snd lambdas++emitDecs :: MonadWriter [DDec] m => [DDec] -> m ()+emitDecs = tell++emitDecsM :: MonadWriter [DDec] m => m [DDec] -> m ()+emitDecsM action = do+  decs <- action+  emitDecs decs++-- ^ Bring a list of type variables into scope for the duration the supplied+-- computation. See @Note [Tracking local variables]@ and+-- @Note [Scoped type variables]@.+scopedBind :: OSet Name -> PrM a -> PrM a+scopedBind binds =+  local (\env@(PrEnv { pr_scoped_vars = scoped }) ->+    env { pr_scoped_vars = binds `OSet.union` scoped })++-- ^ Bring a list of 'VarPromotions' into scope for the duration the supplied+-- computation. See @Note [Tracking local variables]@.+lambdaBind :: VarPromotions -> PrM a -> PrM a+lambdaBind binds = local add_binds+  where add_binds env@(PrEnv { pr_lambda_vars = lambdas+                             , pr_local_vars  = locals }) =+          -- Per Note [Tracking local variables], these will be added to both+          -- `pr_lambda_vars` and `pr_local_vars`.+          let new_locals = OMap.fromList [ (tmN, DVarT tyN) | (tmN, tyN) <- binds ] in+          env { pr_lambda_vars = OMap.fromList binds `OMap.union` lambdas+              , pr_local_vars  = new_locals          `OMap.union` locals }++-- ^ A pair consisting of a term-level 'Name' of a variable, bound in a @let@+-- binding or @where@ clause, and its type-level counterpart.+-- See @Note [Tracking local variables]@.+type LetBind = (Name, DType)++-- ^ Bring a list of 'LetBind's into scope for the duration the supplied+-- computation. See @Note [Tracking local variables]@.+letBind :: [LetBind] -> PrM a -> PrM a+letBind binds = local add_binds+  where add_binds env@(PrEnv { pr_local_vars = locals }) =+          env { pr_local_vars = OMap.fromList binds `OMap.union` locals }++-- | Map a term-level 'Name' to its type-level counterpart. This function is+-- aware of any local variables that are currently in scope.+-- See @Note [Tracking local variables]@.+lookupVarE :: Name -> PrM DType+lookupVarE n = do+  opts <- getOptions+  locals <- asks pr_local_vars+  case OMap.lookup n locals of+    Just ty -> return ty+    Nothing -> return $ DConT $ defunctionalizedName0 opts n++promoteM :: OptionsMonad q => [Dec] -> PrM a -> q (a, [DDec])+promoteM locals (PrM rdr) = do+  opts         <- getOptions+  other_locals <- localDeclarations+  let wr = runReaderT rdr (emptyPrEnv { pr_options     = opts+                                      , pr_local_decls = other_locals ++ locals })+      q  = runWriterT wr+  runQ q++promoteM_ :: OptionsMonad q => [Dec] -> PrM () -> q [DDec]+promoteM_ locals thing = do+  ((), decs) <- promoteM locals thing+  return decs++-- promoteM specialized to [DDec]+promoteMDecs :: OptionsMonad q => [Dec] -> PrM [DDec] -> q [DDec]+promoteMDecs locals thing = do+  (decs1, decs2) <- promoteM locals thing+  return $ decs1 ++ decs2++{-+Note [Tracking local variables]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+Handling local variables in singletons-th requires some care. There are three+sorts of local variables that singletons-th tracks:++1. Scoped type variables, e.g.,++     d :: forall a. Maybe a+     d = Nothing :: Maybe a++     e (x :: a) = Nothing :: Maybe a++   In both `d` and `e`, the variable `a` in `:: Maybe a` is scoped.++2. Lambda-bound variables, e.g.,++     f = \x -> x+     g x = x++   In both `f` and `g`, the variable `x` is considered lambda-bound.++3. Let-bound variables, e.g.,++     h =+       let x = 42 in+       x + x++     i = x + x+       where+         x = 42++   In both `h` and `i`, the variable `x` is considered let-bound.++Why does singletons-th need to track local variables? It's because they must+be promoted differently depending on whether they are local or not. Consider:++  j = ... x ...++When promoting the `j` function to a type family `J`, there are four possible+ways of promoting `x`:++* If `x` is a scoped type variable, then `x` must be promoted to the same+  name. This is because promoting a type variable to a kind variable is a+  no-op. For instance, we would promote this:++    j (z :: x) = (z :: x)++  Here, `(%%)`, `x`, and `y` are lambda-bound variables. But we cannot promote+  `j` to this type family:++    type family J arg where+      J (z :: x) = (z :: x)++* If `x` is a lambda-bound variable, then `x` must be promoted to a type+  variable. In general, we cannot promote `x` to the same name. Consider this+  example:++    j (%%) x y = x %% y++  Here, `(%%)`, `x`, and `y` are lambda-bound variables. But we cannot promote+  `j` to this type family:++    type family J (%%) x y where+      J (%%) x y = x %% y++  This is because type variable names cannot be symbolic like `(%%)` is. As a+  result, we create a fresh name `ty` and promote each occurrence of `(%%)` to+  `ty`:++    type family J ty x y where+      J ty x y = x `ty` y++  See `mkTyName` in Data.Singletons.TH.Names. In fact, `mkTyName` will also+  freshen alphanumeric names, so it would be more accurate to say that `j` will+  be promoted to this:++    type family J ty x_123 y_456 where+      J ty x_123 y_456 = x_123 `ty` y_456++  Where `x_123` and `y_456` are fresh names that are distinct from `x` and `y`.+  Freshening alphanumeric names like `x` and `y` is probably not strictly+  necessary, but `mkTyName` does it anyway (1) for consistency with symbolic+  names and (2) to make the type-level names easier to tell apart from the+  original term-level names.++* If `x` is a let-bound variable, then `x` must be promoted to something like+  `LetX`, where `LetX` is the lambda-lifted version of `x`. For instance, we+  would promote this:++    j = x+      where+        x = True++  To this:++    type family J where+      J = LetX+    type family LetX where+      LetX = True++* If `x` is not a local variable at all, then `x` must be promoted to something+  like `X`, which is assumed to be a top-level function. For instance, we would+  promote this:++    x = 42+    j = x++  To this:++    type family X where+      X = 42+    type family J where+      J = X++Being able to distinguish between all these sorts of variables requires+recording whether they are scoped, lambda-bound, or let-bound at their binding+sites during promotion and singling. This is primarily done in two places:++* During promotion, the `pr_local_vars` field of `PrEnv` tracks lambda- and+  let-bound variables.++* During singling, the `sg_local_vars` field of `SgEnv` tracks lambda- and+  let-bound variables.++Each of these fields are Maps from the original, term-level Names to the+promoted or singled versions of the Names. The `lookupVarE` functions (which+can be found in both Data.Singletons.TH.Promote.Monad and+Data.Singletons.TH.Single.Monad) are responsible for determining what a+term-level Name should be mapped to.++In addition to `pr_local_vars` and `sg_local_vars`, which include both lambda-+and let-bound variables, `PrEnv` also includes two additional fields for+tracking other sorts of local variables:++* The `pr_scoped_vars` field tracks which scoped type variables are currently+  in scope. As discussed above, promoting an occurrence of a scoped type+  variable is a no-op, and as such, we never need to use `lookupVarE` to figure+  out what a scoped type variable promotes to. As such, there is no need to put+  the scoped type variables in `pr_local_vars`.++  On the other hand, we /do/ need to track the scoped type variables for+  lambda-lifting purposes (see Note [Scoped type variables]), and this is the+  only reason why we bother maintaining the `pr_scoped_vars` field in the first+  place. See the `scopedBind` function, which is responsible for adding new+  scoped type variables to `pr_scoped_vars`.++* The `pr_lambda_vars` field only tracks lambda-bound variables, unlike+  `pr_local_vars`, which also includes let-bound variables. We must do this+  because lambda-bound variables are treated differently during lambda lifting.+  Lambda-lifted functions must close over any lambda-bound variables in scope,+  but /not/ any let-bound variables in scope, since the latter are+  lambda-lifted separately.++  A consequence of this is that when we lambda-bind a variable during promotion+  (see `lambdaBind`), we add the variable to both `pr_lambda_vars` and+  `pr_local_vars`.  When we let-bind a variable during promotion (see+  `letBind`), we only add the variable to `pr_local_vars`. This means that+  `pr_lambda_vars` will always be a subset of `pr_local_vars`.++Because singling does not do anything akin to lambda lifting, `SgEnv` does not+have anything like `sg_scoped_vars` or `sg_lambda_vars`.++Note [Scoped type variables]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~+Scoped type variables are a particular form of local variable (see Note+[Tracking local variables]). They are arguably the trickiest form of local+variable to handle, and as noted in the singletons README, there are still some+forms of scoped type variables that singletons-th cannot handle during+promotion.++First, let's discuss how singletons-th promotes scoped type variables in+general:++* When promoting a function with a top-level type signature, we annotate each+  argument on the left-hand sides of type family equations with its kind. This+  is usually redundant, but it can sometimes be useful for bringing type+  variables into scope. For example, this:++    f :: forall a. a -> Maybe a+    f x = (Just x :: Maybe a)++  Will be promoted to something like this:++    type F :: forall a. a -> Maybe a+    type family F x where+      F (x :: a) = (Just x :: Maybe a)++  Note that we gave the `x` on the left-hand side of `F`'s equation an explicit+  `:: a` kind signature to ensure that the `a` on the right-hand side of the+  type family equation is in scope.++  The `promoteClause` function in Data.Singletons.TH.Promote is responsible for+  implementing this.++* Sometimes, there are no arguments available to bring type variables into+  scope. In these situations, we can sometimes use `@` in type family equations+  as an alternative. For example, this:++    g :: forall a. Maybe a+    g = (Nothing :: Maybe a)++  Will be promoted to this:++    type G :: forall a. Maybe a+    type family G where+      G @a = (Nothing :: Maybe a)++  Note the `@a` on `G`'s left-hand side. This relies on `G` having a standalone+  kind signature to work.++  The `promoteLetDecName` function in Data.Singletons.TH.Promote is responsible+  for implementing this.++* When lambda-lifting, singletons-th tracks the current set of scoped type+  variables and includes them as explicit arguments when promoting local+  definitions. For example, this:++    h :: forall a. a -> a+    h x = i+      where+        i = (x :: a)++  Will be promoted to this:++    type H :: forall a. a -> a+    type family H x where+      H @a (x :: a) = LetI a x++    type I a x where+      I a x = (x :: a)++  The `I` type family includes both `a` (a scoped type variable) and `x` (a+  lambda-bound variable) as explicit arguments to ensure that they are in scope+  on the right-hand side, which mentions both of them.++  singletons-th uses the `pr_scoped_vars` field of `PrM` to track scoped type+  variables. Whenever new scoped type variables are bound during promotion, the+  `scopedBind` function is used to add the variables to `pr_scoped_vars`.++These three tricks suffice to handle a substantial number of ways that scoped+type variables can be used. The approach is not perfect, however. Here are two+scenarios where singletons-th fails to promote scoped type variables:++* Funky pattern signatures like this one will not work:++    j :: forall a. a -> a+    j (x :: b) = b++  This is because singletons-th will attempt to promote `j` like so:++    type J :: forall a. a -> a+    type J x where+      J @a ((x :: b) :: a) = b++  But unlike in terms, GHC has no way to know that `a` and `b` are meant to+  refer to the same type variable. In order to make this work, we would need to+  substitute all occurrences of `a` with `b` in the type family equation (or+  vice versa), which seems challenging in the general case.++* Scoped type variables that are only mentioned in the return types of local+  definitions may not always work, such as in this example:++    k x = y+      where+        y :: forall b. Maybe b+        y = Nothing :: Maybe b++  singletons-th would promote `k` and `y` to the following type families:++    type K x where+      K x = LetY x++    type LetY x :: Maybe b where+      LetY x = Nothing :: Maybe b++  Note that because `LetY` closes over the `x` argument, it cannot easily be+  given a standalone kind signature, and this prevents us from writing+  `LetY @b x = ...`. Moreover, `LetY` does not have an argument that we can+  attach an explicit `:: b` signature to. (Attaching it to `x` would be+  incorrect, as that would give `LetY` a less general kind.)++  One possible way forward here would be to give type families the ability to+  write result signatures on their left-hand sides, similar to what GHC+  proposal #228+  (https://github.com/ghc-proposals/ghc-proposals/blob/master/proposals/0228-function-result-sigs.rst)+  offers:++    type LetY x :: Maybe b where+      LetY x :: Maybe b = Nothing :: Maybe b+-}
src/Data/Singletons/TH/Promote/Type.hs view
@@ -1,175 +1,175 @@-{- Data/Singletons/TH/Promote/Type.hs
-
-(c) Richard Eisenberg 2013
-rae@cs.brynmawr.edu
-
-This file implements promotion of types into kinds.
--}
-
-module Data.Singletons.TH.Promote.Type
-  ( promoteType, promoteType_NC, promoteType_options
-  , PromoteTypeOptions(..), defaultPromoteTypeOptions
-  , promoteTypeArg_NC, promoteUnraveled
-  ) where
-
-import Control.Monad (when)
-import Language.Haskell.TH (pprint)
-import Language.Haskell.TH.Desugar
-import Data.Singletons.TH.Names
-import Data.Singletons.TH.Options
-import Data.Singletons.TH.Util
-
--- | Promote a 'DType' to the kind level and invoke 'checkVanillaDType'.
--- See @Note [Vanilla-type validity checking during promotion]@.
-promoteType :: OptionsMonad m => DType -> m DKind
-promoteType = promoteType_options defaultPromoteTypeOptions{ptoCheckVanilla = True}
-
--- | Promote a 'DType' to the kind level. This is suffixed with \"_NC\" because
--- we do not invoke 'checkVanillaDType' here.
--- See @Note [Vanilla-type validity checking during promotion]@.
-promoteType_NC :: forall m. OptionsMonad m => DType -> m DKind
-promoteType_NC = promoteType_options defaultPromoteTypeOptions
-
--- | Options for controlling how types are promoted at a fine granularity.
-data PromoteTypeOptions = PromoteTypeOptions
-  { ptoCheckVanilla :: Bool
-    -- ^ If 'True', invoke 'checkVanillaDType' on the argument type being
-    --   promoted. See @Note [Vanilla-type validity checking during promotion]@.
-  , ptoAllowWildcards :: Bool
-    -- ^ If 'True', allow promoting wildcard types. Otherwise, throw an error.
-    --   In most places, GHC disallows kind-level wildcard types, so rather
-    --   than promoting such wildcards and getting an error message from GHC
-    --   /post facto/, we can catch such wildcards early and give a more
-    --   descriptive error message instead.
-  } deriving Show
-
--- | The default 'PromoteTypeOptions':
---
--- * 'checkVanillaDType' is not invoked.
---
--- * Throw an error when attempting to promote a wildcard type.
-defaultPromoteTypeOptions :: PromoteTypeOptions
-defaultPromoteTypeOptions = PromoteTypeOptions
-  { ptoCheckVanilla = False
-  , ptoAllowWildcards = False
-  }
-
--- | Promote a 'DType' to the kind level. This is the workhorse for
--- 'promoteType' and 'promoteType_NC'.
-promoteType_options :: forall m. OptionsMonad m => PromoteTypeOptions -> DType -> m DKind
-promoteType_options pto typ = do
-  -- See Note [Vanilla-type validity checking during promotion]
-  when (ptoCheckVanilla pto) $
-    checkVanillaDType typ
-  go [] typ
-  where
-    go :: [DTypeArg] -> DType -> m DKind
-    go []       (DForallT tele ty) = do
-      ty' <- go [] ty
-      pure $ DForallT tele ty'
-    go args     ty@DForallT{} = illegal args ty
-    -- We don't need to worry about constraints: they are used to express
-    -- static guarantees at runtime. But, because we don't need to do
-    -- anything special to keep static guarantees at compile time, we don't
-    -- need to promote them.
-    go []       (DConstrainedT _cxt ty) = go [] ty
-    go args     ty@DConstrainedT{} = illegal args ty
-    go args     (DAppT t1 t2) = do
-      k2 <- go [] t2
-      go (DTANormal k2 : args) t1
-       -- NB: This next case means that promoting something like
-       --   (((->) a) :: Type -> Type) b
-       -- will fail because the pattern below won't recognize the
-       -- arrow to turn it into a TyFun. But I'm not terribly
-       -- bothered by this, and it would be annoying to fix. Wait
-       -- for someone to report.
-    go args     (DAppKindT ty ki) = do
-      ki' <- go [] ki
-      go (DTyArg ki' : args) ty
-    go args     (DSigT ty ki) = do
-      ty' <- go [] ty
-      -- No need to promote 'ki' - it is already a kind.
-      return $ applyDType (DSigT ty' ki) args
-    go args     (DVarT name) = return $ applyDType (DVarT name) args
-    go args     (DConT name) = do
-      opts <- getOptions
-      return $ applyDType (DConT (promotedDataTypeOrConName opts name)) args
-    go args     ty@DArrowT =
-      case filterDTANormals args of
-        []        -> noPartialArrows
-        [_]       -> noPartialArrows
-        [k1, k2]  -> return $ DConT tyFunArrowName `DAppT` k1 `DAppT` k2
-        (_:_:_:_) -> illegal args ty
-    go []       ty@DLitT{} = pure ty
-    go args     ty@DLitT{} = illegal args ty
-    go args     ty@DWildCardT{}
-      | ptoAllowWildcards pto
-      = pure $ applyDType ty args
-      | otherwise
-      = fail $ unlines
-          [ "`singletons-th` does not support wildcard types"
-          , "\tunless they appear in visible type patterns of data constructors"
-          , "\t" ++ herald
-          ]
-
-    noPartialArrows :: m a
-    noPartialArrows = fail $ unlines
-      [ "`singletons-th` does not support partial applications of (->)"
-      , "\t" ++ herald
-      ]
-
-    herald :: String
-    herald = "In the type: " ++ pprint (sweeten typ)
-
-    illegal :: [DTypeArg] -> DType -> m a
-    illegal args hd = fail $ unlines
-      [ "Illegal Haskell construct encountered:"
-      , "\theaded by: " ++ show hd
-      , "\tapplied to: " ++ show args
-      ]
-
--- | Promote a DTypeArg to the kind level. This is suffixed with "_NC" because
--- we do not invoke checkVanillaDType here.
--- See @Note [Vanilla-type validity checking during promotion]@.
-promoteTypeArg_NC :: OptionsMonad m => DTypeArg -> m DTypeArg
-promoteTypeArg_NC (DTANormal t) = DTANormal <$> promoteType_NC t
-promoteTypeArg_NC ta@(DTyArg _) = pure ta -- Kinds are already promoted
-
--- | Promote a DType to the kind level, splitting it into its type variable
--- binders, argument types, and result type in the process.
-promoteUnraveled :: OptionsMonad m
-                 => DType -> m ([DTyVarBndrSpec], [DKind], DKind)
-promoteUnraveled ty = do
-  (tvbs, _, arg_tys, res_ty) <- unravelVanillaDType ty
-  arg_kis <- mapM promoteType_NC arg_tys
-  res_ki  <- promoteType_NC res_ty
-  return (tvbs, arg_kis, res_ki)
-
-{-
-Note [Vanilla-type validity checking during promotion]
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-We only support promoting (and singling) vanilla types, where a vanilla
-function type is a type that:
-
-1. Only uses a @forall@ at the top level, if used at all. That is to say, it
-   does not contain any nested or higher-rank @forall@s.
-
-2. Only uses a context (e.g., @c => ...@) at the top level, if used at all,
-   and only after the top-level @forall@ if one is present. That is to say,
-   it does not contain any nested or higher-rank contexts.
-
-3. Contains no visible dependent quantification.
-
-The checkVanillaDType function checks if a type is vanilla. Note that it is
-crucial to call checkVanillaDType on the /entire/ type. For instance, it would
-be incorrect to call unravelVanillaDType and then check each argument type
-individually, since that loses information about which @forall@s/constraints
-are higher-rank.
-
-We make an effort to avoiding calling checkVanillaDType on the same type twice,
-since checkVanillaDType must traverse the entire type. (It would not be
-incorrect to do so, just wasteful.) For this certain, certain functions are
-suffixed with "_NC" (short for "no checking") to indicate that they do not
-invoke checkVanillaDType. These functions are used on types that have already
-been validity-checked.
--}
+{- Data/Singletons/TH/Promote/Type.hs++(c) Richard Eisenberg 2013+rae@cs.brynmawr.edu++This file implements promotion of types into kinds.+-}++module Data.Singletons.TH.Promote.Type+  ( promoteType, promoteType_NC, promoteType_options+  , PromoteTypeOptions(..), defaultPromoteTypeOptions+  , promoteTypeArg_NC, promoteUnraveled+  ) where++import Control.Monad (when)+import Language.Haskell.TH (pprint)+import Language.Haskell.TH.Desugar+import Data.Singletons.TH.Names+import Data.Singletons.TH.Options+import Data.Singletons.TH.Util++-- | Promote a 'DType' to the kind level and invoke 'checkVanillaDType'.+-- See @Note [Vanilla-type validity checking during promotion]@.+promoteType :: OptionsMonad m => DType -> m DKind+promoteType = promoteType_options defaultPromoteTypeOptions{ptoCheckVanilla = True}++-- | Promote a 'DType' to the kind level. This is suffixed with \"_NC\" because+-- we do not invoke 'checkVanillaDType' here.+-- See @Note [Vanilla-type validity checking during promotion]@.+promoteType_NC :: forall m. OptionsMonad m => DType -> m DKind+promoteType_NC = promoteType_options defaultPromoteTypeOptions++-- | Options for controlling how types are promoted at a fine granularity.+data PromoteTypeOptions = PromoteTypeOptions+  { ptoCheckVanilla :: Bool+    -- ^ If 'True', invoke 'checkVanillaDType' on the argument type being+    --   promoted. See @Note [Vanilla-type validity checking during promotion]@.+  , ptoAllowWildcards :: Bool+    -- ^ If 'True', allow promoting wildcard types. Otherwise, throw an error.+    --   In most places, GHC disallows kind-level wildcard types, so rather+    --   than promoting such wildcards and getting an error message from GHC+    --   /post facto/, we can catch such wildcards early and give a more+    --   descriptive error message instead.+  } deriving Show++-- | The default 'PromoteTypeOptions':+--+-- * 'checkVanillaDType' is not invoked.+--+-- * Throw an error when attempting to promote a wildcard type.+defaultPromoteTypeOptions :: PromoteTypeOptions+defaultPromoteTypeOptions = PromoteTypeOptions+  { ptoCheckVanilla = False+  , ptoAllowWildcards = False+  }++-- | Promote a 'DType' to the kind level. This is the workhorse for+-- 'promoteType' and 'promoteType_NC'.+promoteType_options :: forall m. OptionsMonad m => PromoteTypeOptions -> DType -> m DKind+promoteType_options pto typ = do+  -- See Note [Vanilla-type validity checking during promotion]+  when (ptoCheckVanilla pto) $+    checkVanillaDType typ+  go [] typ+  where+    go :: [DTypeArg] -> DType -> m DKind+    go []       (DForallT tele ty) = do+      ty' <- go [] ty+      pure $ DForallT tele ty'+    go args     ty@DForallT{} = illegal args ty+    -- We don't need to worry about constraints: they are used to express+    -- static guarantees at runtime. But, because we don't need to do+    -- anything special to keep static guarantees at compile time, we don't+    -- need to promote them.+    go []       (DConstrainedT _cxt ty) = go [] ty+    go args     ty@DConstrainedT{} = illegal args ty+    go args     (DAppT t1 t2) = do+      k2 <- go [] t2+      go (DTANormal k2 : args) t1+       -- NB: This next case means that promoting something like+       --   (((->) a) :: Type -> Type) b+       -- will fail because the pattern below won't recognize the+       -- arrow to turn it into a TyFun. But I'm not terribly+       -- bothered by this, and it would be annoying to fix. Wait+       -- for someone to report.+    go args     (DAppKindT ty ki) = do+      ki' <- go [] ki+      go (DTyArg ki' : args) ty+    go args     (DSigT ty ki) = do+      ty' <- go [] ty+      -- No need to promote 'ki' - it is already a kind.+      return $ applyDType (DSigT ty' ki) args+    go args     (DVarT name) = return $ applyDType (DVarT name) args+    go args     (DConT name) = do+      opts <- getOptions+      return $ applyDType (DConT (promotedDataTypeOrConName opts name)) args+    go args     ty@DArrowT =+      case filterDTANormals args of+        []        -> noPartialArrows+        [_]       -> noPartialArrows+        [k1, k2]  -> return $ DConT tyFunArrowName `DAppT` k1 `DAppT` k2+        (_:_:_:_) -> illegal args ty+    go []       ty@DLitT{} = pure ty+    go args     ty@DLitT{} = illegal args ty+    go args     ty@DWildCardT{}+      | ptoAllowWildcards pto+      = pure $ applyDType ty args+      | otherwise+      = fail $ unlines+          [ "`singletons-th` does not support wildcard types"+          , "\tunless they appear in visible type patterns of data constructors"+          , "\t" ++ herald+          ]++    noPartialArrows :: m a+    noPartialArrows = fail $ unlines+      [ "`singletons-th` does not support partial applications of (->)"+      , "\t" ++ herald+      ]++    herald :: String+    herald = "In the type: " ++ pprint (sweeten typ)++    illegal :: [DTypeArg] -> DType -> m a+    illegal args hd = fail $ unlines+      [ "Illegal Haskell construct encountered:"+      , "\theaded by: " ++ show hd+      , "\tapplied to: " ++ show args+      ]++-- | Promote a DTypeArg to the kind level. This is suffixed with "_NC" because+-- we do not invoke checkVanillaDType here.+-- See @Note [Vanilla-type validity checking during promotion]@.+promoteTypeArg_NC :: OptionsMonad m => DTypeArg -> m DTypeArg+promoteTypeArg_NC (DTANormal t) = DTANormal <$> promoteType_NC t+promoteTypeArg_NC ta@(DTyArg _) = pure ta -- Kinds are already promoted++-- | Promote a DType to the kind level, splitting it into its type variable+-- binders, argument types, and result type in the process.+promoteUnraveled :: OptionsMonad m+                 => DType -> m ([DTyVarBndrSpec], [DKind], DKind)+promoteUnraveled ty = do+  (tvbs, _, arg_tys, res_ty) <- unravelVanillaDType ty+  arg_kis <- mapM promoteType_NC arg_tys+  res_ki  <- promoteType_NC res_ty+  return (tvbs, arg_kis, res_ki)++{-+Note [Vanilla-type validity checking during promotion]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+We only support promoting (and singling) vanilla types, where a vanilla+function type is a type that:++1. Only uses a @forall@ at the top level, if used at all. That is to say, it+   does not contain any nested or higher-rank @forall@s.++2. Only uses a context (e.g., @c => ...@) at the top level, if used at all,+   and only after the top-level @forall@ if one is present. That is to say,+   it does not contain any nested or higher-rank contexts.++3. Contains no visible dependent quantification.++The checkVanillaDType function checks if a type is vanilla. Note that it is+crucial to call checkVanillaDType on the /entire/ type. For instance, it would+be incorrect to call unravelVanillaDType and then check each argument type+individually, since that loses information about which @forall@s/constraints+are higher-rank.++We make an effort to avoiding calling checkVanillaDType on the same type twice,+since checkVanillaDType must traverse the entire type. (It would not be+incorrect to do so, just wasteful.) For this certain, certain functions are+suffixed with "_NC" (short for "no checking") to indicate that they do not+invoke checkVanillaDType. These functions are used on types that have already+been validity-checked.+-}
src/Data/Singletons/TH/Single.hs view
@@ -1,1093 +1,1118 @@-{-# LANGUAGE TemplateHaskellQuotes #-}
-
-{- Data/Singletons/TH/Single.hs
-
-(c) Richard Eisenberg 2013
-rae@cs.brynmawr.edu
-
-This file contains functions to refine constructs to work with singleton
-types. It is an internal module to the singletons-th package.
--}
-
-module Data.Singletons.TH.Single where
-
-import Prelude hiding ( exp )
-import Language.Haskell.TH hiding ( cxt )
-import Language.Haskell.TH.Syntax (NameSpace(..), Quasi(..))
-import Data.Singletons.TH.Deriving.Bounded
-import Data.Singletons.TH.Deriving.Enum
-import Data.Singletons.TH.Deriving.Eq
-import Data.Singletons.TH.Deriving.Infer
-import Data.Singletons.TH.Deriving.Ord
-import Data.Singletons.TH.Deriving.Show
-import Data.Singletons.TH.Deriving.Util
-import Data.Singletons.TH.Names
-import Data.Singletons.TH.Options
-import Data.Singletons.TH.Partition
-import Data.Singletons.TH.Promote
-import Data.Singletons.TH.Promote.Defun
-import Data.Singletons.TH.Promote.Monad ( promoteM )
-import Data.Singletons.TH.Promote.Type
-import Data.Singletons.TH.Single.Data
-import Data.Singletons.TH.Single.Decide
-import Data.Singletons.TH.Single.Defun
-import Data.Singletons.TH.Single.Fixity
-import Data.Singletons.TH.Single.Monad
-import Data.Singletons.TH.Single.Type
-import Data.Singletons.TH.Syntax
-import Data.Singletons.TH.Util
-import Language.Haskell.TH.Desugar
-import qualified Language.Haskell.TH.Desugar.OMap.Strict as OMap
-import Language.Haskell.TH.Desugar.OMap.Strict (OMap)
-import qualified Data.Map.Strict as Map
-import Data.Map.Strict ( Map )
-import Data.Maybe
-import qualified Data.Set as Set
-import Control.Monad
-import Control.Monad.Trans.Class
-import Data.List (unzip6, zipWith4)
-import qualified GHC.LanguageExtensions.Type as LangExt
-
-{-
-How singletons-th works
-~~~~~~~~~~~~~~~~~~~~~~~
-
-Singling, on the surface, doesn't seem all that complicated. Promote the type,
-and singletonize all the terms. That's essentially what was done singletons < 1.0.
-But, now we want to deal with higher-order singletons. So, things are a little
-more complicated.
-
-The way to understand all of this is that *every* variable maps to something
-of type (Sing t), for an appropriately-kinded t. This includes functions, which
-use the "SLambda" instance of Sing. To apply singleton functions, we use the
-applySing function.
-
-That, in and of itself, wouldn't be too hard, but it's really annoying from
-the user standpoint. After dutifully singling `map`, a user doesn't want to
-have to use two `applySing`s to actually use it. So, any let-bound identifier
-is eta-expanded so that the singled type has the same number of arrows as
-the original type. (If there is no original type signature, then it has as
-many arrows as the original had patterns.) Then, we store a use of one of the
-singFunX functions in the SgM environment so that every use of a let-bound
-identifier has a proper type (Sing t).
-
-It would be consistent to avoid this eta-expansion for local lets (as opposed
-to top-level lets), but that seemed like more bother than it was worth. It
-may also be possible to be cleverer about nested eta-expansions and contractions,
-but that also seemed not to be worth it. Though I haven't tested it, my hope
-is that the eta-expansions and contractions have no runtime effect, especially
-because SLambda is a *newtype* instance, not a *data* instance.
-
-Note that to maintain the desired invariant, we must also be careful to eta-
-contract constructors. This is the point of buildDataLets.
--}
-
--- | Generate singled definitions for each of the provided type-level
--- declaration 'Name's. For example, the singletons-th package itself uses
---
--- > $(genSingletons [''Bool, ''Maybe, ''Either, ''[]])
---
--- to generate singletons for Prelude types.
-genSingletons :: OptionsMonad q => [Name] -> q [Dec]
-genSingletons names = do
-  opts <- getOptions
-  -- See Note [Disable genQuotedDecs in genPromotions and genSingletons]
-  -- in D.S.TH.Promote
-  withOptions opts{genQuotedDecs = False} $ do
-    checkForRep names
-    ddecs <- concatMapM (singInfo <=< dsInfo <=< reifyWithLocals) names
-    return $ decsToTH ddecs
-
--- | Make promoted and singled versions of all declarations given, retaining
--- the original declarations. See the
--- @<https://github.com/goldfirere/singletons/blob/master/README.md README>@
--- for further explanation.
-singletons :: OptionsMonad q => q [Dec] -> q [Dec]
-singletons qdecs = do
-  opts <- getOptions
-  withOptions opts{genQuotedDecs = True} $ singletons' $ lift qdecs
-
--- | Make promoted and singled versions of all declarations given, discarding
--- the original declarations. Note that a singleton based on a datatype needs
--- the original datatype, so this will fail if it sees any datatype declarations.
--- Classes, instances, and functions are all fine.
-singletonsOnly :: OptionsMonad q => q [Dec] -> q [Dec]
-singletonsOnly qdecs = do
-  opts <- getOptions
-  withOptions opts{genQuotedDecs = False} $ singletons' $ lift qdecs
-
--- The workhorse for 'singletons' and 'singletonsOnly'. The difference between
--- the two functions is whether 'genQuotedDecs' is set to 'True' or 'False'.
-singletons' :: OptionsMonad q => q [Dec] -> q [Dec]
-singletons' qdecs = do
-  opts     <- getOptions
-  decs     <- qdecs
-  ddecs    <- withLocalDeclarations decs $ dsDecs decs
-  singDecs <- singTopLevelDecs decs ddecs
-  let origDecs | genQuotedDecs opts = decs
-               | otherwise          = []
-  return $ origDecs ++ decsToTH singDecs
-
--- | Create instances of 'SEq' for the given types
-singEqInstances :: OptionsMonad q => [Name] -> q [Dec]
-singEqInstances = concatMapM singEqInstance
-
--- | Create instance of 'SEq' for the given type
-singEqInstance :: OptionsMonad q => Name -> q [Dec]
-singEqInstance = singInstance mkEqInstance "Eq"
-
--- | Create instances of 'SDecide', 'TestEquality', and 'TestCoercion' for each
--- type in the list.
-singDecideInstances :: OptionsMonad q => [Name] -> q [Dec]
-singDecideInstances = concatMapM singDecideInstance
-
--- | Create instances of 'SDecide', 'TestEquality', and 'TestCoercion' for the
--- given type.
-singDecideInstance :: OptionsMonad q => Name -> q [Dec]
-singDecideInstance name = do
-  (_df, tvbs, cons) <- getDataD ("I cannot make an instance of SDecide for it.") name
-  dtvbs <- mapM dsTvbUnit tvbs
-  let data_ty = foldTypeTvbs (DConT name) dtvbs
-  dcons <- concatMapM (dsCon dtvbs data_ty) cons
-  (scons, _) <- singM [] $ mapM (singCtor name) dcons
-  sDecideInstance <- mkDecideInstance Nothing data_ty dcons scons
-  testInstances <- traverse (mkTestInstance Nothing data_ty name dcons)
-                            [TestEquality, TestCoercion]
-  return $ decsToTH (sDecideInstance:testInstances)
-
--- | Create instances of 'SOrd' for the given types
-singOrdInstances :: OptionsMonad q => [Name] -> q [Dec]
-singOrdInstances = concatMapM singOrdInstance
-
--- | Create instance of 'SOrd' for the given type
-singOrdInstance :: OptionsMonad q => Name -> q [Dec]
-singOrdInstance = singInstance mkOrdInstance "Ord"
-
--- | Create instances of 'SBounded' for the given types
-singBoundedInstances :: OptionsMonad q => [Name] -> q [Dec]
-singBoundedInstances = concatMapM singBoundedInstance
-
--- | Create instance of 'SBounded' for the given type
-singBoundedInstance :: OptionsMonad q => Name -> q [Dec]
-singBoundedInstance = singInstance mkBoundedInstance "Bounded"
-
--- | Create instances of 'SEnum' for the given types
-singEnumInstances :: OptionsMonad q => [Name] -> q [Dec]
-singEnumInstances = concatMapM singEnumInstance
-
--- | Create instance of 'SEnum' for the given type
-singEnumInstance :: OptionsMonad q => Name -> q [Dec]
-singEnumInstance = singInstance mkEnumInstance "Enum"
-
--- | Create instance of 'SShow' for the given type
---
--- (Not to be confused with 'showShowInstance'.)
-singShowInstance :: OptionsMonad q => Name -> q [Dec]
-singShowInstance = singInstance mkShowInstance "Show"
-
--- | Create instances of 'SShow' for the given types
---
--- (Not to be confused with 'showSingInstances'.)
-singShowInstances :: OptionsMonad q => [Name] -> q [Dec]
-singShowInstances = concatMapM singShowInstance
-
--- | Create instance of 'Show' for the given singleton type
---
--- (Not to be confused with 'singShowInstance'.)
-showSingInstance :: OptionsMonad q => Name -> q [Dec]
-showSingInstance name = do
-  (df, tvbs, cons) <- getDataD ("I cannot make an instance of Show for it.") name
-  dtvbs <- mapM dsTvbUnit tvbs
-  let data_ty = foldTypeTvbs (DConT name) dtvbs
-  dcons <- concatMapM (dsCon dtvbs data_ty) cons
-  let tyvars    = map (DVarT . extractTvbName) dtvbs
-      kind      = foldType (DConT name) tyvars
-      data_decl = DataDecl df name dtvbs dcons
-      deriv_show_decl = DerivedDecl { ded_mb_cxt     = Nothing
-                                    , ded_type       = kind
-                                    , ded_type_tycon = name
-                                    , ded_decl       = data_decl }
-  (show_insts, _) <- singM [] $ singDerivedShowDecs deriv_show_decl
-  pure $ decsToTH show_insts
-
--- | Create instances of 'Show' for the given singleton types
---
--- (Not to be confused with 'singShowInstances'.)
-showSingInstances :: OptionsMonad q => [Name] -> q [Dec]
-showSingInstances = concatMapM showSingInstance
-
--- | Create an instance for @'SingI' TyCon{N}@, where @N@ is the positive
--- number provided as an argument.
---
--- Note that the generated code requires the use of the @QuantifiedConstraints@
--- language extension.
-singITyConInstances :: DsMonad q => [Int] -> q [Dec]
-singITyConInstances = mapM singITyConInstance
-
--- | Create an instance for @'SingI' TyCon{N}@, where @N@ is the positive
--- number provided as an argument.
---
--- Note that the generated code requires the use of the @QuantifiedConstraints@
--- language extension.
-singITyConInstance :: DsMonad q => Int -> q Dec
-singITyConInstance n
-  | n <= 0
-  = fail $ "Argument must be a positive number (given " ++ show n ++ ")"
-  | otherwise
-  = do as <- replicateM n (qNewName "a")
-       ks <- replicateM n (qNewName "k")
-       k_last <- qNewName "k_last"
-       f      <- qNewName "f"
-       x      <- qNewName "x"
-       let k_penult = last ks
-           k_fun = ravelVanillaDType [] [] (map DVarT ks) (DVarT k_last)
-           f_ty  = DVarT f
-           a_tys = map DVarT as
-           mk_fun arrow t1 t2 = arrow `DAppT` t1 `DAppT` t2
-           matchable_apply_fun   = mk_fun DArrowT                (DVarT k_penult) (DVarT k_last)
-           unmatchable_apply_fun = mk_fun (DConT tyFunArrowName) (DVarT k_penult) (DVarT k_last)
-           ctxt = [ DForallT (DForallInvis (map (`DPlainTV` SpecifiedSpec) as)) $
-                    DConstrainedT (map (DAppT (DConT singIName)) a_tys)
-                                  (DConT singIName `DAppT` foldType f_ty a_tys)
-                  , DConT equalityName
-                      `DAppT` (DConT applyTyConName `DSigT`
-                                mk_fun DArrowT matchable_apply_fun unmatchable_apply_fun)
-                      `DAppT` DConT applyTyConAux1Name
-                  ]
-       pure $ decToTH
-            $ DInstanceD
-                Nothing Nothing ctxt
-                (DConT singIName `DAppT` (DConT (mkTyConName n) `DAppT` (f_ty `DSigT` k_fun)))
-                [DLetDec $ DFunD singMethName
-                           [DClause [] $
-                            wrapSingFun 1 DWildCardT $
-                            DLamE [x] $
-                            DVarE withSingIName `DAppE` DVarE x
-                                                `DAppE` DVarE singMethName]]
-
-singInstance :: OptionsMonad q => DerivDesc q -> String -> Name -> q [Dec]
-singInstance mk_inst inst_name name = do
-  (df, tvbs, cons) <- getDataD ("I cannot make an instance of " ++ inst_name
-                                ++ " for it.") name
-  dtvbs <- mapM dsTvbUnit tvbs
-  let data_ty = foldTypeTvbs (DConT name) dtvbs
-  dcons <- concatMapM (dsCon dtvbs data_ty) cons
-  let data_decl = DataDecl df name dtvbs dcons
-  raw_inst <- mk_inst Nothing data_ty data_decl
-  (a_inst, decs) <- promoteM [] $
-                    promoteInstanceDec OMap.empty Map.empty raw_inst
-  decs' <- singDecsM [] $ (:[]) <$> singInstD a_inst
-  return $ decsToTH (decs ++ decs')
-
-singInfo :: OptionsMonad q => DInfo -> q [DDec]
-singInfo (DTyConI dec _) =
-  singTopLevelDecs [] [dec]
-singInfo (DPrimTyConI _name _numArgs _unlifted) =
-  fail "Singling of primitive type constructors not supported"
-singInfo (DVarI _name _ty _mdec) =
-  fail "Singling of value info not supported"
-singInfo (DTyVarI _name _ty) =
-  fail "Singling of type variable info not supported"
-singInfo (DPatSynI {}) =
-  fail "Singling of pattern synonym info not supported"
-
-singTopLevelDecs :: OptionsMonad q => [Dec] -> [DDec] -> q [DDec]
-singTopLevelDecs locals raw_decls = withLocalDeclarations locals $ do
-  decls <- expand raw_decls     -- expand type synonyms
-  PDecs { pd_let_decs                = letDecls
-        , pd_class_decs              = classes
-        , pd_instance_decs           = insts
-        , pd_data_decs               = datas
-        , pd_ty_syn_decs             = ty_syns
-        , pd_open_type_family_decs   = o_tyfams
-        , pd_closed_type_family_decs = c_tyfams
-        , pd_derived_eq_decs         = derivedEqDecs
-        , pd_derived_show_decs       = derivedShowDecs } <- partitionDecs decls
-
-  ((letDecEnv, classes', insts'), promDecls) <- promoteM locals $ do
-    defunTopLevelTypeDecls ty_syns c_tyfams o_tyfams
-    recSelLetDecls <- promoteDataDecs datas
-    (_, letDecEnv) <- promoteLetDecs Nothing $ recSelLetDecls ++ letDecls
-    classes' <- mapM promoteClassDec classes
-    let meth_sigs    = foldMap (lde_types . cd_lde) classes
-        cls_tvbs_map = Map.fromList $ map (\cd -> (cd_name cd, cd_tvbs cd)) classes
-    insts' <- mapM (promoteInstanceDec meth_sigs cls_tvbs_map) insts
-    return (letDecEnv, classes', insts')
-
-  singDecsM locals $ do
-    dataLetBinds <- concatMapM buildDataLets datas
-    methLetBinds <- concatMapM buildMethLets classes
-    let letBinds = dataLetBinds ++ methLetBinds
-    (newLetDecls, singIDefunDecls, newDecls)
-                            <- bindLets letBinds $
-                               singLetDecEnv letDecEnv $ do
-                                 newDataDecls <- concatMapM singDataD datas
-                                 newClassDecls <- mapM singClassD classes'
-                                 newInstDecls <- mapM singInstD insts'
-                                 newDerivedEqDecs <- concatMapM singDerivedEqDecs derivedEqDecs
-                                 newDerivedShowDecs <- concatMapM singDerivedShowDecs derivedShowDecs
-                                 return $ newDataDecls ++ newClassDecls
-                                                       ++ newInstDecls
-                                                       ++ newDerivedEqDecs
-                                                       ++ newDerivedShowDecs
-    return $ promDecls ++ (map DLetDec newLetDecls) ++ singIDefunDecls ++ newDecls
-
--- see comment at top of file
-buildDataLets :: OptionsMonad q => DataDecl -> q [(Name, DExp)]
-buildDataLets (DataDecl _df _name _tvbs cons) = do
-  opts <- getOptions
-  pure $ concatMap (con_num_args opts) cons
-  where
-    con_num_args :: Options -> DCon -> [(Name, DExp)]
-    con_num_args opts (DCon _tvbs _cxt name fields _rty) =
-      (name, wrapSingFun (length (tysOfConFields fields))
-                         (DConT $ defunctionalizedName0 opts name)
-                         (DConE $ singledDataConName opts name))
-      : rec_selectors opts fields
-
-    rec_selectors :: Options -> DConFields -> [(Name, DExp)]
-    rec_selectors _    (DNormalC {}) = []
-    rec_selectors opts (DRecC fields) =
-      let names = map fstOf3 fields in
-      [ (name, wrapSingFun 1 (DConT $ defunctionalizedName0 opts name)
-                             (DVarE $ singledValueName opts name))
-      | name <- names ]
-
--- see comment at top of file
-buildMethLets :: OptionsMonad q => UClassDecl -> q [(Name, DExp)]
-buildMethLets (ClassDecl { cd_lde = LetDecEnv { lde_types = meth_sigs } }) = do
-  opts <- getOptions
-  pure $ map (mk_bind opts) (OMap.assocs meth_sigs)
-  where
-    mk_bind opts (meth_name, meth_ty) =
-      ( meth_name
-      , wrapSingFun (countArgs meth_ty) (DConT $ defunctionalizedName0 opts meth_name)
-                                        (DVarE $ singledValueName opts meth_name) )
-
-singClassD :: AClassDecl -> SgM DDec
-singClassD (ClassDecl { cd_cxt  = cls_cxt
-                      , cd_name = cls_name
-                      , cd_tvbs = cls_tvbs
-                      , cd_fds  = cls_fundeps
-                      , cd_lde  = LetDecEnv { lde_defns = default_defns
-                                            , lde_types = meth_sigs
-                                            , lde_infix = fixities
-                                            , lde_proms = promoted_defaults } }) =
-  bindContext [foldTypeTvbs (DConT cls_name) cls_tvbs] $ do
-    opts <- getOptions
-    mb_cls_sak <- dsReifyType cls_name
-    let sing_cls_name   = singledClassName opts cls_name
-        mb_sing_cls_sak = fmap (DKiSigD sing_cls_name) mb_cls_sak
-    cls_infix_decls <- singReifiedInfixDecls $ cls_name:meth_names
-    (sing_sigs, _, tyvar_names, cxts, res_kis, singIDefunss)
-      <- unzip6 <$> zipWithM (singTySig no_meth_defns meth_sigs)
-                             meth_names
-                             (map (DConT . defunctionalizedName0 opts) meth_names)
-    emitDecs $ maybeToList mb_sing_cls_sak ++ cls_infix_decls ++ concat singIDefunss
-    let default_sigs = catMaybes $
-                       zipWith4 (mk_default_sig opts) meth_names sing_sigs
-                                                      tyvar_names res_kis
-    sing_meths <- mapM (uncurry (singLetDecRHS (Map.fromList cxts)))
-                       (OMap.assocs default_defns)
-    fixities' <- mapMaybeM (uncurry singInfixDecl) $ OMap.assocs fixities
-    cls_cxt' <- mapM singPred cls_cxt
-    return $ DClassD cls_cxt'
-                     sing_cls_name
-                     cls_tvbs
-                     cls_fundeps   -- they are fine without modification
-                     (map DLetDec (sing_sigs ++ sing_meths ++ fixities') ++ default_sigs)
-  where
-    no_meth_defns = error "Internal error: can't find declared method type"
-    meth_names    = map fst $ OMap.assocs meth_sigs
-
-    mk_default_sig :: Options -> Name -> DLetDec -> [Name] -> Maybe DType -> Maybe DDec
-    mk_default_sig opts meth_name (DSigD s_name sty) bound_kvs (Just res_ki) =
-      DDefaultSigD s_name <$> add_constraints opts meth_name sty bound_kvs res_ki
-    mk_default_sig _ _ _ _ _ = error "Internal error: a singled signature isn't a signature."
-
-    add_constraints :: Options -> Name -> DType -> [Name] -> DType -> Maybe DType
-    -- We must look through `... :: Type` kind annotations, which can be added
-    -- when singling type signatures lacking explicit `forall`s.
-    -- See Note [Preserve the order of type variables during singling]
-    -- (wrinkle 1) in D.S.TH.Single.Type.
-    add_constraints opts meth_name (DSigT sty ski) bound_kvs res_ki = do
-      sty' <- add_constraints opts meth_name sty bound_kvs res_ki
-      pure $ DSigT sty' ski
-    add_constraints opts meth_name sty bound_kvs res_ki = do
-      (tvbs, cxt, args, res) <- unravelVanillaDType sty
-      prom_dflt <- OMap.lookup meth_name promoted_defaults
-
-      -- Filter out explicitly bound kind variables. Otherwise, if you had
-      -- the following class (#312):
-      --
-      --  class Foo a where
-      --    bar :: a -> b -> b
-      --    bar _ x = x
-      --
-      -- Then it would be singled to:
-      --
-      --  class SFoo a where
-      --    sBar :: forall b (x :: a) (y :: b). Sing x -> Sing y -> Sing (sBar x y)
-      --    default :: forall b (x :: a) (y :: b).
-      --               (Bar b x y) ~ (BarDefault b x y) => ...
-      --
-      -- Which applies Bar/BarDefault to b, which shouldn't happen.
-      let tvs = map tvbToType $
-                filter (\tvb -> extractTvbName tvb `Set.member` bound_kv_set) tvbs
-          prom_meth =  DConT $ defunctionalizedName0 opts meth_name
-          default_pred = foldType (DConT equalityName)
-                                -- NB: Need the res_ki here to prevent ambiguous
-                                -- kinds in result-inferred default methods.
-                                -- See #175
-                               [ foldApply prom_meth tvs `DSigT` res_ki
-                               , foldApply prom_dflt tvs ]
-      return $ ravelVanillaDType tvbs (default_pred : cxt) args res
-      where
-        bound_kv_set = Set.fromList bound_kvs
-
-singInstD :: AInstDecl -> SgM DDec
-singInstD (InstDecl { id_cxt = cxt, id_name = inst_name, id_arg_tys = inst_tys
-                    , id_sigs = inst_sigs, id_meths = ann_meths }) = do
-  opts <- getOptions
-  let s_inst_name = singledClassName opts inst_name
-  bindContext cxt $ do
-    cxt' <- mapM singPred cxt
-    inst_kis <- mapM promoteType inst_tys
-    meths <- concatMapM (uncurry sing_meth) ann_meths
-    return (DInstanceD Nothing
-                       Nothing
-                       cxt'
-                       (foldl DAppT (DConT s_inst_name) inst_kis)
-                       meths)
-
-  where
-    sing_meth :: Name -> ALetDecRHS -> SgM [DDec]
-    sing_meth name rhs = do
-      opts <- getOptions
-      mb_s_info <- dsReify (singledValueName opts name)
-      inst_kis <- mapM promoteType inst_tys
-      let mk_subst cls_tvbs = Map.fromList $ zip (map extractTvbName vis_cls_tvbs) inst_kis
-            where
-              -- This is a half-hearted attempt to address the underlying problem
-              -- in #358, where we can sometimes have more class type variables
-              -- (due to implicit kind arguments) than class arguments. This just
-              -- ensures that the explicit type variables are properly mapped
-              -- to the class arguments, leaving the implicit kind variables
-              -- unmapped. That could potentially cause *other* problems, but
-              -- those are perhaps best avoided by using InstanceSigs. At the
-              -- very least, this workaround will make error messages slightly
-              -- less confusing.
-              vis_cls_tvbs = drop (length cls_tvbs - length inst_kis) cls_tvbs
-
-          sing_meth_ty :: DType -> SgM DType
-          sing_meth_ty inner_ty = do
-            -- Make sure to expand through type synonyms here! Not doing so
-            -- resulted in #167.
-            raw_ty <- expand inner_ty
-            (s_ty, _num_args, _tyvar_names, _ctxt, _arg_kis, _res_ki)
-              <- singType (DConT $ defunctionalizedName0 opts name) raw_ty
-            pure s_ty
-
-      s_ty <- case OMap.lookup name inst_sigs of
-        Just inst_sig ->
-          -- We have an InstanceSig, so just single that type.
-          sing_meth_ty inst_sig
-        Nothing -> case mb_s_info of
-          -- We don't have an InstanceSig, so we must compute the type to use
-          -- in the singled instance ourselves through reification.
-          Just (DVarI _ (DForallT (DForallInvis cls_tvbs) (DConstrainedT _cls_pred s_ty)) _) ->
-            pure $ substType (mk_subst cls_tvbs) s_ty
-          _ -> do
-            mb_info <- dsReify name
-            case mb_info of
-              Just (DVarI _ (DForallT (DForallInvis cls_tvbs)
-                                      (DConstrainedT _cls_pred inner_ty)) _) -> do
-                s_ty <- sing_meth_ty inner_ty
-                pure $ substType (mk_subst cls_tvbs) s_ty
-              _ -> fail $ "Cannot find type of method " ++ show name
-
-      meth' <- singLetDecRHS
-                 Map.empty -- Because we are singling an instance declaration,
-                           -- we aren't generating defunctionalization symbols
-                           -- for the class methods, and hence we aren't
-                           -- generating any SingI instances. Therefore, we
-                           -- don't need to include anything in this Map.
-                 name rhs
-      return $ map DLetDec [DSigD (singledValueName opts name) s_ty, meth']
-
-singLetDecEnv :: ALetDecEnv
-              -> SgM a
-              -> SgM ([DLetDec], [DDec], a)
-                 -- Return:
-                 --
-                 -- 1. The singled let-decs
-                 -- 2. SingI instances for any defunctionalization symbols
-                 --    (see Data.Singletons.TH.Single.Defun)
-                 -- 3. The result of running the `SgM a` action
-singLetDecEnv (LetDecEnv { lde_defns = defns
-                         , lde_types = types
-                         , lde_infix = infix_decls
-                         , lde_proms = proms })
-              thing_inside = do
-  let prom_list = OMap.assocs proms
-  (typeSigs, letBinds, _tyvarNames, cxts, _res_kis, singIDefunss)
-    <- unzip6 <$> mapM (uncurry (singTySig defns types)) prom_list
-  infix_decls' <- mapMaybeM (uncurry singInfixDecl) $ OMap.assocs infix_decls
-  bindLets letBinds $ do
-    let_decs <- mapM (uncurry (singLetDecRHS (Map.fromList cxts)))
-                     (OMap.assocs defns)
-    thing <- thing_inside
-    return (infix_decls' ++ typeSigs ++ let_decs, concat singIDefunss, thing)
-
-singTySig :: OMap Name ALetDecRHS  -- definitions
-          -> OMap Name DType       -- type signatures
-          -> Name -> DType         -- the type is the promoted type, not the type sig!
-          -> SgM ( DLetDec         -- the new type signature
-                 , (Name, DExp)    -- the let-bind entry
-                 , [Name]          -- the scoped tyvar names in the tysig
-                 , (Name, DCxt)    -- the context of the type signature
-                 , Maybe DKind     -- the result kind in the tysig
-                 , [DDec]          -- SingI instances for defun symbols
-                 )
-singTySig defns types name prom_ty = do
-  opts <- getOptions
-  let sName = singledValueName opts name
-  case OMap.lookup name types of
-    Nothing -> do
-      num_args <- guess_num_args
-      (sty, tyvar_names) <- mk_sing_ty num_args
-      singIDefuns <- singDefuns name VarName []
-                                (map (const Nothing) tyvar_names) Nothing
-      return ( DSigD sName sty
-             , (name, wrapSingFun num_args prom_ty (DVarE sName))
-             , tyvar_names
-             , (name, [])
-             , Nothing
-             , singIDefuns )
-    Just ty -> do
-      (sty, num_args, tyvar_names, ctxt, arg_kis, res_ki)
-        <- singType prom_ty ty
-      bound_cxt <- askContext
-      singIDefuns <- singDefuns name VarName (bound_cxt ++ ctxt)
-                                (map Just arg_kis) (Just res_ki)
-      return ( DSigD sName sty
-             , (name, wrapSingFun num_args prom_ty (DVarE sName))
-             , tyvar_names
-             , (name, ctxt)
-             , Just res_ki
-             , singIDefuns )
-  where
-    guess_num_args :: SgM Int
-    guess_num_args =
-      case OMap.lookup name defns of
-        Nothing -> fail "Internal error: promotion known for something not let-bound."
-        Just (AValue _) -> return 0
-        Just (AFunction n _) -> return n
-
-      -- create a Sing t1 -> Sing t2 -> ... type of a given arity and result type
-    mk_sing_ty :: Int -> SgM (DType, [Name])
-    mk_sing_ty n = do
-      arg_names <- replicateM n (qNewName "arg")
-      -- If there are no arguments, use `Sing @_` instead of `Sing`.
-      -- See Note [Disable kind generalization for local functions if possible]
-      let sing_w_wildcard | n == 0    = singFamily `DAppKindT` DWildCardT
-                          | otherwise = singFamily
-      return ( ravelVanillaDType
-                 (map (`DPlainTV` SpecifiedSpec) arg_names)
-                 []
-                 (map (\nm -> singFamily `DAppT` DVarT nm) arg_names)
-                 (sing_w_wildcard `DAppT`
-                      (foldApply prom_ty (map DVarT arg_names)))
-             , arg_names )
-
-{-
-Note [Disable kind generalization for local functions if possible]
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-Consider this example (from #296):
-
-  f :: forall a. MyProxy a -> MyProxy a
-  f MyProxy =
-    let x = let z :: MyProxy a
-                z = MyProxy in z
-    in x
-
-A naïve attempt at singling `f` is as follows:
-
-  type LetZ :: MyProxy a
-  type family LetZ where
-    LetZ = 'MyProxy
-
-  type family LetX where
-    LetX = LetZ
-
-  type F :: forall a. MyProxy a -> MyProxy a
-  type family F x where
-    F 'MyProxy = LetX
-
-  sF :: forall a (t :: MyProxy a). Sing t -> Sing (F t :: MyProxy a)
-  sF SMyProxy =
-    let sX :: Sing LetX
-        sX = let sZ :: Sing (LetZ :: MyProxy a)
-                 sZ = SMyProxy in sZ
-    in sX
-
-This will not typecheck, however. The is because the return kind of
-`LetX` (in `let sX :: Sing LetX`) will get generalized by virtue of `sX`
-having a type signature. It's as if one had written this:
-
-  sF :: forall a (t :: MyProxy a). Sing t -> Sing (F t :: MyProxy a)
-  sF SMyProxy =
-    let sX :: forall a1. Sing (LetX :: MyProxy a1)
-        sX = ...
-
-This is too general, since `sX` will only typecheck if the return kind of
-`LetX` is `MyProxy a`, not `MyProxy a1`. In order to avoid this problem,
-we need to avoid kind generalization when kind-checking the type of `sX`.
-To accomplish this, we borrow a trick from
-Note [The id hack; or, how singletons-th learned to stop worrying and avoid kind generalization]
-and use TypeApplications plus a wildcard type. That is, we generate this code
-for `sF`:
-
-  sF :: forall a (t :: MyProxy a). Sing t -> Sing (F t :: MyProxy a)
-  sF SMyProxy =
-    let sX :: Sing @_ LetX
-        sX = ...
-
-The presence of the wildcard type disables kind generalization, which allows
-GHC's kind inference to deduce that the return kind of `LetX` should be `a`.
-Now `sF` typechecks, and since we only use wildcards within visible kind
-applications, we don't even have to force users to enable
-PartialTypeSignatures. Hooray!
-
-Question: where should we put wildcard types when singling? One possible answer
-is: put a wildcard in any type signature that gets generated when singling a
-function that lacks a type signature. Unfortunately, this is a step too far.
-This will break singling the `foldr` function:
-
-    foldr                   :: (a -> b -> b) -> b -> [a] -> b
-    foldr k z = go
-              where
-                go []     = z
-                go (y:ys) = y `k` go ys
-
-If the type of `sGo` is given a wildcard, then it will fail to typecheck. This
-is because `sGo` is polymorphically recursive, so disabling kind generalization
-forces GHC to infer `sGo`'s type. Attempting to infer a polymorphically
-recursive type, unsurprisingly, leads to failure.
-
-To avoid this sort of situation, where adopt a simple metric: if a function
-lacks a type signature, only put @_ in its singled type signature if it has
-zero arguments. This allows `sX` to typecheck without breaking things like
-`sGo`. This metric is a bit conservative, however, since it means that this
-small tweak to `x` still would not typecheck:
-
-  f :: forall a. MyProxy a -> MyProxy a
-  f MyProxy =
-    let x () = let z :: MyProxy a
-                   z = MyProxy in z
-    in x ()
-
-We need not let perfect be the enemy of good, however. It is extremely
-common for local definitions to have zero arguments, so it makes good sense
-to optimize for that special case. In fact, this special treatment is the only
-reason that `foo8` from the `T183` test case singles successfully, since
-the as-patterns in `foo8` desugar to code very similar to the `f` example
-above.
--}
-
-singLetDecRHS :: Map Name DCxt    -- the context of the type signature
-                                  -- (might not be known)
-              -> Name -> ALetDecRHS -> SgM DLetDec
-singLetDecRHS cxts name ld_rhs = do
-  opts <- getOptions
-  bindContext (Map.findWithDefault [] name cxts) $
-    case ld_rhs of
-      AValue exp ->
-        DValD (DVarP (singledValueName opts name)) <$>
-        singExp exp
-      AFunction _num_arrows clauses ->
-        DFunD (singledValueName opts name) <$>
-              mapM singClause clauses
-
-singClause :: ADClause -> SgM DClause
-singClause (ADClause var_proms pats exp) = do
-  (sPats, sigPaExpsSigs) <- evalForPair $ mapM (singPat (Map.fromList var_proms)) pats
-  sBody <- singExp exp
-  return $ DClause sPats $ mkSigPaCaseE sigPaExpsSigs sBody
-
-singPat :: Map Name Name   -- from term-level names to type-level names
-        -> ADPat
-        -> QWithAux SingDSigPaInfos SgM DPat
-singPat var_proms = go
-  where
-    go :: ADPat -> QWithAux SingDSigPaInfos SgM DPat
-    go (ADLitP _lit) =
-      fail "Singling of literal patterns not yet supported"
-    go (ADVarP name) = do
-      opts <- getOptions
-      tyname <- case Map.lookup name var_proms of
-                  Nothing     ->
-                    fail "Internal error: unknown variable when singling pattern"
-                  Just tyname -> return tyname
-      pure $ DVarP (singledValueName opts name)
-               `DSigP` (singFamily `DAppT` DVarT tyname)
-    go (ADConP name tys pats) = do
-      opts <- getOptions
-      DConP (singledDataConName opts name) tys <$> mapM go pats
-    go (ADTildeP pat) = do
-      qReportWarning
-        "Lazy pattern converted into regular pattern during singleton generation."
-      go pat
-    go (ADBangP pat) = DBangP <$> go pat
-    go (ADSigP prom_pat pat ty) = do
-      pat' <- go pat
-      -- Normally, calling dPatToDExp would be dangerous, since it fails if the
-      -- supplied pattern contains any wildcard patterns. However, promotePat
-      -- (which produced the pattern we're passing into dPatToDExp) maintains
-      -- an invariant that any promoted pattern signatures will be free of
-      -- wildcard patterns in the underlying pattern.
-      -- See Note [Singling pattern signatures].
-      addElement (dPatToDExp pat', DSigT prom_pat ty)
-      pure pat'
-    go ADWildP = pure DWildP
-
--- | If given a non-empty list of 'SingDSigPaInfos', construct a case expression
--- that brings singleton equality constraints into scope via pattern-matching.
--- See @Note [Singling pattern signatures]@.
-mkSigPaCaseE :: SingDSigPaInfos -> DExp -> DExp
-mkSigPaCaseE exps_with_sigs exp
-  | null exps_with_sigs = exp
-  | otherwise =
-      let (exps, sigs) = unzip exps_with_sigs
-          scrutinee = mkTupleDExp exps
-          pats = map (DSigP DWildP . DAppT (DConT singFamilyName)) sigs
-      in DCaseE scrutinee [DMatch (mkTupleDPat pats) exp]
-
--- Note [Annotate case return type]
--- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
---
--- We're straining GHC's type inference here. One particular trouble area
--- is determining the return type of a GADT pattern match. In general, GHC
--- cannot infer return types of GADT pattern matches because the return type
--- becomes "untouchable" in the case matches. See the OutsideIn paper. But,
--- during singletonization, we *know* the return type. So, just add a type
--- annotation. See #54.
---
--- In particular, we add a type annotation in a somewhat unorthodox fashion.
--- Instead of the usual `(x :: t)`, we use `id @t x`. See
--- Note [The id hack; or, how singletons-th learned to stop worrying and avoid
--- kind generalization] for an explanation of why we do this.
-
--- Note [Why error is so special]
--- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
--- Some of the transformations that happen before this point produce impossible
--- case matches. We must be careful when processing these so as not to make
--- an error GHC will complain about. When binding the case-match variables, we
--- normally include an equality constraint saying that the scrutinee is equal
--- to the matched pattern. But, we can't do this in inaccessible matches, because
--- equality is bogus, and GHC (rightly) complains. However, we then have another
--- problem, because GHC doesn't have enough information when type-checking the
--- RHS of the inaccessible match to deem it type-safe. The solution: treat error
--- as super-special, so that GHC doesn't look too hard at singletonized error
--- calls. Specifically, DON'T do the applySing stuff. Just use sError, which
--- has a custom type (Sing x -> a) anyway.
-
--- Note [Singling pattern signatures]
--- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
--- We want to single a pattern signature, like so:
---
---   f :: Maybe a -> a
---   f (Just x :: Maybe a) = x
---
--- Naïvely, one might expect this to single straightfowardly as:
---
---   sF :: forall (z :: Maybe a). Sing z -> Sing (F z)
---   sF (SJust sX :: Sing (Just x :: Maybe a)) = sX
---
--- But the way GHC typechecks patterns prevents this from working, as GHC won't
--- know that the type `z` is actually `Just x` until /after/ the entirety of
--- the `SJust sX` pattern has been typechecked. (See Trac #12018 for an
--- extended discussion on this topic.)
---
--- To work around this design, we resort to a somewhat unsightly trick:
--- immediately after matching on all the patterns, we perform a case on every
--- pattern with a pattern signature, like so:
---
---   sF :: forall (z :: Maybe a). Sing z -> Sing (F z)
---   sF (SJust sX :: Sing z)
---     = case (SJust sX :: Sing z) of
---         (_ :: Sing (Just x :: Maybe a)) -> sX
---
--- Now GHC accepts the fact that `z` is `Just x`, and all is well. In order
--- to support this construction, the type of singPat is augmented with some
--- extra information in the form of SingDSigPaInfos:
---
---   type SingDSigPaInfos = [(DExp, DType)]
---
--- Where the DExps corresponds to the expressions we case on just after the
--- patterns (`SJust sX :: Sing x`, in the example above), and the DTypes
--- correspond to the singled pattern signatures to use in the case alternative
--- (`Sing (Just x :: Maybe a)` in the example above). singPat appends to the
--- list of SingDSigPaInfos whenever it processes a DSigPa (pattern signature),
--- and call sites can pass these SingDSigPaInfos to mkSigPaCaseE to construct a
--- case expression like the one featured above.
---
--- Some interesting consequences of this design:
---
--- 1. We must promote DPats to ADPats, a variation of DPat where the annotated
---    DSigPa counterpart, ADSigPa, stores the type that the original DPat was
---    promoted to. This is necessary since promoting the type might have
---    generated fresh variable names, so we need to be able to use the same
---    names when singling.
---
--- 2. Also when promoting a DSigPa to an ADSigPa, we remove any wildcards from
---    the underlying pattern. To see why this is necessary, consider singling
---    this example:
---
---      g (Just _ :: Maybe a) = "hi"
---
---    This must single to something like this:
---
---      sG (SJust _ :: Sing z)
---        = case (SJust _ :: Sing z) of
---            (_ :: Sing (Just _ :: Maybe a)) -> "hi"
---
---    But `SJust _` is not a valid expression, and since the minimal th-desugar
---    AST lacks as-patterns, we can't replace it with something like
---    `sG x@(SJust _ :: Sing z) = case x of ...`. But even if the th-desugar
---    AST /did/ have as-patterns, we'd still be in trouble, as `Just _` isn't
---    a valid type without the use of -XPartialTypeSignatures, which isn't a
---    design we want to force upon others.
---
---    We work around both issues by simply converting all wildcard patterns
---    from the pattern that has a signature. That means our example becomes:
---
---      sG (SJust sWild :: Sing z)
---        = case (SJust sWild :: Sing z) of
---            (_ :: Sing (Just wild :: Maybe a)) -> "hi"
---
---    And now everything is hunky-dory.
-
-singExp :: ADExp -> SgM DExp
-  -- See Note [Why error is so special]
-singExp (ADVarE err `ADAppE` arg)
-  | err == errorName = do opts <- getOptions
-                          DAppE (DVarE (singledValueName opts err)) <$>
-                            singExp arg
-singExp (ADVarE name) = lookupVarE name
-singExp (ADConE name) = lookupConE name
-singExp (ADLitE lit)  = singLit lit
-singExp (ADAppE e1 e2) = do
-  e1' <- singExp e1
-  e2' <- singExp e2
-  -- `applySing undefined x` kills type inference, because GHC can't figure
-  -- out the type of `undefined`. So we don't emit `applySing` there.
-  if isException e1'
-  then return $ e1' `DAppE` e2'
-  else return $ (DVarE applySingName) `DAppE` e1' `DAppE` e2'
-singExp (ADLamE ty_names prom_lam names exp) = do
-  opts <- getOptions
-  let sNames = map (singledValueName opts) names
-  exp' <- singExp exp
-  -- we need to bind the type variables... but DLamE doesn't allow SigT patterns.
-  -- So: build a case
-  let caseExp = DCaseE (mkTupleDExp (map DVarE sNames))
-                       [DMatch (mkTupleDPat
-                                (map ((DWildP `DSigP`) .
-                                      (singFamily `DAppT`) .
-                                      DVarT) ty_names)) exp']
-  return $ wrapSingFun (length names) prom_lam $ DLamE sNames caseExp
-singExp (ADCaseE exp matches ret_ty) =
-    -- See Note [Annotate case return type] and
-    --     Note [The id hack; or, how singletons-th learned to stop worrying and
-    --           avoid kind generalization]
-  DAppE (DAppTypeE (DVarE 'id)
-                   (singFamily `DAppT` ret_ty))
-    <$> (DCaseE <$> singExp exp <*> mapM singMatch matches)
-singExp (ADLetE env exp) = do
-  -- We intentionally discard the SingI instances for exp's defunctionalization
-  -- symbols, as we also do not generate the declarations for the
-  -- defunctionalization symbols in the first place during promotion.
-  (let_decs, _, exp') <- singLetDecEnv env $ singExp exp
-  pure $ DLetE let_decs exp'
-singExp (ADSigE prom_exp exp ty) = do
-  exp' <- singExp exp
-  pure $ DSigE exp' $ DConT singFamilyName `DAppT` DSigT prom_exp ty
-
--- See Note [DerivedDecl] in Data.Singletons.TH.Syntax
-singDerivedEqDecs :: DerivedEqDecl -> SgM [DDec]
-singDerivedEqDecs (DerivedDecl { ded_mb_cxt     = mb_ctxt
-                               , ded_type       = ty
-                               , ded_type_tycon = ty_tycon
-                               , ded_decl       = DataDecl _ _ _ cons }) = do
-  (scons, _) <- singM [] $ mapM (singCtor ty_tycon) cons
-  mb_sctxt <- mapM (mapM singPred) mb_ctxt
-  kind <- promoteType ty
-  -- Beware! The user might have specified an instance context like this:
-  --
-  --   deriving instance Eq a => Eq (T a Int)
-  --
-  -- When we single the context, it will become (SEq a). But we do *not* want
-  -- this for the SDecide instance! The simplest solution is to simply replace
-  -- all occurrences of SEq with SDecide in the context.
-  mb_sctxtDecide <- traverse (traverse sEqToSDecide) mb_sctxt
-  sDecideInst <- mkDecideInstance mb_sctxtDecide kind cons scons
-  testInsts <- traverse (mkTestInstance mb_sctxtDecide kind ty_tycon cons)
-                        [TestEquality, TestCoercion]
-  return (sDecideInst:testInsts)
-
--- Walk a DPred, replacing all occurrences of SEq with SDecide.
-sEqToSDecide :: OptionsMonad q => DPred -> q DPred
-sEqToSDecide p = do
-  opts <- getOptions
-  pure $ modifyConNameDType (\n ->
-         if n == singledClassName opts eqName
-            then sDecideClassName
-            else n) p
-
--- See Note [DerivedDecl] in Data.Singletons.TH.Syntax
-singDerivedShowDecs :: DerivedShowDecl -> SgM [DDec]
-singDerivedShowDecs (DerivedDecl { ded_mb_cxt     = mb_cxt
-                                 , ded_type       = ty
-                                 , ded_type_tycon = ty_tycon
-                                 , ded_decl       = DataDecl _ _ _ cons }) = do
-    opts <- getOptions
-    z <- qNewName "z"
-    -- Generate a Show instance for a singleton type, like this:
-    --
-    --   deriving instance (ShowSing a, ShowSing b) => Sing (SEither (z :: Either a b))
-    --
-    -- Be careful: we want to generate an instance context that uses ShowSing,
-    -- not SShow.
-    show_cxt <- inferConstraintsDef (fmap mkShowSingContext mb_cxt)
-                                    (DConT showSingName)
-                                    ty cons
-    ki <- promoteType ty
-    let sty_tycon = singledDataTypeName opts ty_tycon
-        show_inst = DStandaloneDerivD Nothing Nothing show_cxt
-                      (DConT showName `DAppT` (DConT sty_tycon `DAppT` DSigT (DVarT z) ki))
-    pure [show_inst]
-
-isException :: DExp -> Bool
-isException (DVarE n)             = nameBase n == "sUndefined"
-isException (DConE {})            = False
-isException (DLitE {})            = False
-isException (DAppE (DVarE fun) _) | nameBase fun == "sError" = True
-isException (DAppE fun _)         = isException fun
-isException (DAppTypeE e _)       = isException e
-isException (DLamE _ _)           = False
-isException (DCaseE e _)          = isException e
-isException (DLetE _ e)           = isException e
-isException (DSigE e _)           = isException e
-isException (DStaticE e)          = isException e
-
-singMatch :: ADMatch -> SgM DMatch
-singMatch (ADMatch var_proms pat exp) = do
-  (sPat, sigPaExpsSigs) <- evalForPair $ singPat (Map.fromList var_proms) pat
-  sExp <- singExp exp
-  return $ DMatch sPat $ mkSigPaCaseE sigPaExpsSigs sExp
-
-singLit :: Lit -> SgM DExp
-singLit (IntegerL n) = do
-  opts <- getOptions
-  if n >= 0
-     then return $
-          DVarE (singledValueName opts fromIntegerName) `DAppE`
-          (DVarE singMethName `DSigE`
-           (singFamily `DAppT` DLitT (NumTyLit n)))
-     else do sLit <- singLit (IntegerL (-n))
-             return $ DVarE (singledValueName opts negateName) `DAppE` sLit
-singLit (StringL str) = do
-  opts <- getOptions
-  let sing_str_lit = DVarE singMethName `DSigE`
-                     (singFamily `DAppT` DLitT (StrTyLit str))
-  os_enabled <- qIsExtEnabled LangExt.OverloadedStrings
-  pure $ if os_enabled
-         then DVarE (singledValueName opts fromStringName) `DAppE` sing_str_lit
-         else sing_str_lit
-singLit (CharL c) =
-  return $ DVarE singMethName `DSigE` (singFamily `DAppT` DLitT (CharTyLit c))
-singLit lit =
-  fail ("Only string, natural number, and character literals can be singled: " ++ show lit)
-
-{-
-Note [The id hack; or, how singletons-th learned to stop worrying and avoid kind generalization]
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-GHC 8.8 was a time of great change. In particular, 8.8 debuted a fix for
-Trac #15141 (decideKindGeneralisationPlan is too complicated). To fix this, a
-wily GHC developer—who shall remain unnamed, but whose username rhymes with
-schmoldfire—decided to make decideKindGeneralisationPlan less complicated by,
-well, removing the whole thing. One consequence of this is that local
-definitions are now kind-generalized (whereas they would not have been
-previously).
-
-While schmoldfire had the noblest of intentions when authoring his fix, he
-unintentionally made life much harder for singletons-th. Why? Consider the
-following program:
-
-  class Foo a where
-    bar :: a -> (a -> b) -> b
-    baz :: a
-
-  quux :: Foo a => a -> a
-  quux x = x `bar` \_ -> baz
-
-When singled, this program will turn into something like this:
-
-  type family Quux (x :: a) :: a where
-    Quux x = Bar x (LambdaSym1 x)
-
-  sQuux :: forall a (x :: a). SFoo a => Sing x -> Sing (Quux x :: a)
-  sQuux (sX :: Sing x)
-    = sBar sX
-        ((singFun1 @(LambdaSym1 x))
-           (\ sArg
-              -> case sArg of {
-                   (_ :: Sing arg)
-                     -> (case sArg of { _ -> sBaz }) ::
-                          Sing (Case x arg arg) }))
-
-  type family Case x arg t where
-    Case x arg _ = Baz
-  type family Lambda x t where
-    Lambda x arg = Case x arg arg
-  data LambdaSym1 x t
-  type instance Apply (LambdaSym1 x) t = Lambda x t
-
-The high-level bit is the explicit `Sing (Case x arg arg)` signature. Question:
-what is the kind of `Case x arg arg`? The answer depends on whether local
-definitions are kind-generalized or not!
-
-1. If local definitions are *not* kind-generalized (i.e., the status quo before
-   GHC 8.8), then `Case x arg arg :: a`.
-2. If local definitions *are* kind-generalized (i.e., the status quo in GHC 8.8
-   and later), then `Case x arg arg :: k` for some fresh kind variable `k`.
-
-Unfortunately, the kind of `Case x arg arg` *must* be `a` in order for `sQuux`
-to type-check. This means that the code above suddenly stopped working in GHC
-8.8. What's more, we can't just remove these explicit signatures, as there is
-code elsewhere in `singletons-th` that crucially relies on them to guide type
-inference along (e.g., `sShowParen` in `Text.Show.Singletons`).
-
-Luckily, there is an ingenious hack that lets us the benefits of explicit
-signatures without the pain of kind generalization: our old friend, the `id`
-function. The plan is as follows: instead of generating this code:
-
-  (case sArg of ...) :: Sing (Case x arg arg)
-
-We instead generate this code:
-
-  id @(Sing (Case x arg arg)) (case sArg of ...)
-
-That's it! This works because visible type arguments in terms do not get kind-
-generalized, unlike top-level or local signatures. Now `Case x arg arg`'s kind
-is not generalized, and all is well. We dub this: the `id` hack.
-
-One might wonder: will we need the `id` hack around forever? Perhaps not. While
-GHC 8.8 removed the decideKindGeneralisationPlan function, there have been
-rumblings that a future version of GHC may bring it back (in a limited form).
-If this happens, it is possibly that GHC's attitude towards kind-generalizing
-local definitions may change *again*, which could conceivably render the `id`
-hack unnecessary. This is all speculation, of course, so all we can do now is
-wait and revisit this design at a later date.
--}
+{-# LANGUAGE TemplateHaskellQuotes #-}++{- Data/Singletons/TH/Single.hs++(c) Richard Eisenberg 2013+rae@cs.brynmawr.edu++This file contains functions to refine constructs to work with singleton+types. It is an internal module to the singletons-th package.+-}++module Data.Singletons.TH.Single where++import Prelude hiding ( exp )+import Language.Haskell.TH hiding ( cxt )+import Language.Haskell.TH.Syntax (NameSpace(..), Quasi(..))+import Data.Singletons.TH.Deriving.Bounded+import Data.Singletons.TH.Deriving.Enum+import Data.Singletons.TH.Deriving.Eq+import Data.Singletons.TH.Deriving.Infer+import Data.Singletons.TH.Deriving.Ord+import Data.Singletons.TH.Deriving.Show+import Data.Singletons.TH.Deriving.Util+import Data.Singletons.TH.Names+import Data.Singletons.TH.Options+import Data.Singletons.TH.Partition+import Data.Singletons.TH.Promote+import Data.Singletons.TH.Promote.Defun+import Data.Singletons.TH.Promote.Monad ( promoteM )+import Data.Singletons.TH.Promote.Type+import Data.Singletons.TH.Single.Data+import Data.Singletons.TH.Single.Decide+import Data.Singletons.TH.Single.Defun+import Data.Singletons.TH.Single.Fixity+import Data.Singletons.TH.Single.Monad+import Data.Singletons.TH.Single.Ord+import Data.Singletons.TH.Single.Type+import Data.Singletons.TH.Syntax+import Data.Singletons.TH.Util+import Language.Haskell.TH.Desugar+import qualified Language.Haskell.TH.Desugar.OMap.Strict as OMap+import Language.Haskell.TH.Desugar.OMap.Strict (OMap)+import qualified Data.Map.Strict as Map+import Data.Map.Strict ( Map )+import Data.Maybe+import qualified Data.Set as Set+import Control.Monad+import Control.Monad.Trans.Class+import Data.List (unzip6, zipWith4)+import qualified GHC.LanguageExtensions.Type as LangExt++{-+How singletons-th works+~~~~~~~~~~~~~~~~~~~~~~~++Singling, on the surface, doesn't seem all that complicated. Promote the type,+and singletonize all the terms. That's essentially what was done singletons < 1.0.+But, now we want to deal with higher-order singletons. So, things are a little+more complicated.++The way to understand all of this is that *every* variable maps to something+of type (Sing t), for an appropriately-kinded t. This includes functions, which+use the "SLambda" instance of Sing. To apply singleton functions, we use the+applySing function.++That, in and of itself, wouldn't be too hard, but it's really annoying from+the user standpoint. After dutifully singling `map`, a user doesn't want to+have to use two `applySing`s to actually use it. So, any let-bound identifier+is eta-expanded so that the singled type has the same number of arrows as+the original type. (If there is no original type signature, then it has as+many arrows as the original had patterns.) Then, we store a use of one of the+singFunX functions in the SgM environment so that every use of a let-bound+identifier has a proper type (Sing t).++It would be consistent to avoid this eta-expansion for local lets (as opposed+to top-level lets), but that seemed like more bother than it was worth. It+may also be possible to be cleverer about nested eta-expansions and contractions,+but that also seemed not to be worth it. Though I haven't tested it, my hope+is that the eta-expansions and contractions have no runtime effect, especially+because SLambda is a *newtype* instance, not a *data* instance.++Note that to maintain the desired invariant, we must also be careful to eta-+contract constructors. This is the point of buildDataLets.+-}++-- | Generate singled definitions for each of the provided type-level+-- declaration 'Name's. For example, the singletons-th package itself uses+--+-- > $(genSingletons [''Bool, ''Maybe, ''Either, ''[]])+--+-- to generate singletons for Prelude types.+genSingletons :: OptionsMonad q => [Name] -> q [Dec]+genSingletons names = do+  opts <- getOptions+  -- See Note [Disable genQuotedDecs in genPromotions and genSingletons]+  -- in D.S.TH.Promote+  withOptions opts{genQuotedDecs = False} $ do+    checkForRep names+    ddecs <- concatMapM (singInfo <=< dsInfo <=< reifyWithLocals) names+    return $ decsToTH ddecs++-- | Make promoted and singled versions of all declarations given, retaining+-- the original declarations. See the+-- @<https://github.com/goldfirere/singletons/blob/master/README.md README>@+-- for further explanation.+singletons :: OptionsMonad q => q [Dec] -> q [Dec]+singletons qdecs = do+  opts <- getOptions+  withOptions opts{genQuotedDecs = True} $ singletons' $ lift qdecs++-- | Make promoted and singled versions of all declarations given, discarding+-- the original declarations. Note that a singleton based on a datatype needs+-- the original datatype, so this will fail if it sees any datatype declarations.+-- Classes, instances, and functions are all fine.+singletonsOnly :: OptionsMonad q => q [Dec] -> q [Dec]+singletonsOnly qdecs = do+  opts <- getOptions+  withOptions opts{genQuotedDecs = False} $ singletons' $ lift qdecs++-- The workhorse for 'singletons' and 'singletonsOnly'. The difference between+-- the two functions is whether 'genQuotedDecs' is set to 'True' or 'False'.+singletons' :: OptionsMonad q => q [Dec] -> q [Dec]+singletons' qdecs = do+  opts     <- getOptions+  decs     <- qdecs+  ddecs    <- withLocalDeclarations decs $ dsDecs decs+  singDecs <- singTopLevelDecs decs ddecs+  let origDecs | genQuotedDecs opts = decs+               | otherwise          = []+  return $ origDecs ++ decsToTH singDecs++-- | Create instances of 'SEq' for the given types+singEqInstances :: OptionsMonad q => [Name] -> q [Dec]+singEqInstances = concatMapM singEqInstance++-- | Create instance of 'SEq' for the given type+singEqInstance :: OptionsMonad q => Name -> q [Dec]+singEqInstance = singInstance mkEqInstance "Eq"++-- | Create instances of 'SDecide', 'Eq', 'TestEquality', and 'TestCoercion' for+-- each type in the list.+singDecideInstances :: OptionsMonad q => [Name] -> q [Dec]+singDecideInstances = concatMapM singDecideInstance++-- | Create instances of 'SDecide', 'Eq', 'TestEquality', and 'TestCoercion' for+-- the given type.+singDecideInstance :: OptionsMonad q => Name -> q [Dec]+singDecideInstance name = do+  (_df, tvbs, cons) <- getDataD ("I cannot make an instance of SDecide for it.") name+  dtvbs <- mapM dsTvbVis tvbs+  let data_ty = foldTypeTvbs (DConT name) dtvbs+  dcons <- concatMapM (dsCon dtvbs data_ty) cons+  (scons, _) <- singM [] $ mapM (singCtor name) dcons+  sDecideInstance <- mkDecideInstance Nothing data_ty dcons scons+  eqInstance <- mkEqInstanceForSingleton data_ty name+  testInstances <- traverse (mkTestInstance Nothing data_ty name dcons)+                            [TestEquality, TestCoercion]+  return $ decsToTH (sDecideInstance:eqInstance:testInstances)++-- | Create instances of 'SOrd' for the given types+singOrdInstances :: OptionsMonad q => [Name] -> q [Dec]+singOrdInstances = concatMapM singOrdInstance++-- | Create instance of 'SOrd' for the given type+singOrdInstance :: OptionsMonad q => Name -> q [Dec]+singOrdInstance = singInstance mkOrdInstance "Ord"++-- | Create instances of 'SBounded' for the given types+singBoundedInstances :: OptionsMonad q => [Name] -> q [Dec]+singBoundedInstances = concatMapM singBoundedInstance++-- | Create instance of 'SBounded' for the given type+singBoundedInstance :: OptionsMonad q => Name -> q [Dec]+singBoundedInstance = singInstance mkBoundedInstance "Bounded"++-- | Create instances of 'SEnum' for the given types+singEnumInstances :: OptionsMonad q => [Name] -> q [Dec]+singEnumInstances = concatMapM singEnumInstance++-- | Create instance of 'SEnum' for the given type+singEnumInstance :: OptionsMonad q => Name -> q [Dec]+singEnumInstance = singInstance mkEnumInstance "Enum"++-- | Create instance of 'SShow' for the given type+--+-- (Not to be confused with 'showShowInstance'.)+singShowInstance :: OptionsMonad q => Name -> q [Dec]+singShowInstance = singInstance mkShowInstance "Show"++-- | Create instances of 'SShow' for the given types+--+-- (Not to be confused with 'showSingInstances'.)+singShowInstances :: OptionsMonad q => [Name] -> q [Dec]+singShowInstances = concatMapM singShowInstance++-- | Create instance of 'Show' for the given singleton type+--+-- (Not to be confused with 'singShowInstance'.)+showSingInstance :: OptionsMonad q => Name -> q [Dec]+showSingInstance name = do+  (df, tvbs, cons) <- getDataD ("I cannot make an instance of Show for it.") name+  dtvbs <- mapM dsTvbVis tvbs+  let data_ty = foldTypeTvbs (DConT name) dtvbs+  dcons <- concatMapM (dsCon dtvbs data_ty) cons+  let tyvars    = map (DVarT . extractTvbName) dtvbs+      kind      = foldType (DConT name) tyvars+      data_decl = DataDecl df name dtvbs dcons+      deriv_show_decl = DerivedDecl { ded_mb_cxt     = Nothing+                                    , ded_type       = kind+                                    , ded_type_tycon = name+                                    , ded_decl       = data_decl }+  (show_insts, _) <- singM [] $ singDerivedShowDecs deriv_show_decl+  pure $ decsToTH show_insts++-- | Create instances of 'Show' for the given singleton types+--+-- (Not to be confused with 'singShowInstances'.)+showSingInstances :: OptionsMonad q => [Name] -> q [Dec]+showSingInstances = concatMapM showSingInstance++-- | Create an instance for @'SingI' TyCon{N}@, where @N@ is the positive+-- number provided as an argument.+--+-- Note that the generated code requires the use of the @QuantifiedConstraints@+-- language extension.+singITyConInstances :: DsMonad q => [Int] -> q [Dec]+singITyConInstances = mapM singITyConInstance++-- | Create an instance for @'SingI' TyCon{N}@, where @N@ is the positive+-- number provided as an argument.+--+-- Note that the generated code requires the use of the @QuantifiedConstraints@+-- language extension.+singITyConInstance :: DsMonad q => Int -> q Dec+singITyConInstance n+  | n <= 0+  = fail $ "Argument must be a positive number (given " ++ show n ++ ")"+  | otherwise+  = do as <- replicateM n (qNewName "a")+       ks <- replicateM n (qNewName "k")+       k_last <- qNewName "k_last"+       f      <- qNewName "f"+       x      <- qNewName "x"+       let k_penult = last ks+           k_fun = ravelVanillaDType [] [] (map DVarT ks) (DVarT k_last)+           f_ty  = DVarT f+           a_tys = map DVarT as+           mk_fun arrow t1 t2 = arrow `DAppT` t1 `DAppT` t2+           matchable_apply_fun   = mk_fun DArrowT                (DVarT k_penult) (DVarT k_last)+           unmatchable_apply_fun = mk_fun (DConT tyFunArrowName) (DVarT k_penult) (DVarT k_last)+           ctxt = [ DForallT (DForallInvis (map (`DPlainTV` SpecifiedSpec) as)) $+                    DConstrainedT (map (DAppT (DConT singIName)) a_tys)+                                  (DConT singIName `DAppT` foldType f_ty a_tys)+                  , DConT equalityName+                      `DAppT` (DConT applyTyConName `DSigT`+                                mk_fun DArrowT matchable_apply_fun unmatchable_apply_fun)+                      `DAppT` DConT applyTyConAux1Name+                  ]+       pure $ decToTH+            $ DInstanceD+                Nothing Nothing ctxt+                (DConT singIName `DAppT` (DConT (mkTyConName n) `DAppT` (f_ty `DSigT` k_fun)))+                [DLetDec $ DFunD singMethName+                           [DClause [] $+                            wrapSingFun 1 DWildCardT $+                            DLamE [x] $+                            DVarE withSingIName `DAppE` DVarE x+                                                `DAppE` DVarE singMethName]]++singInstance :: OptionsMonad q => DerivDesc q -> String -> Name -> q [Dec]+singInstance mk_inst inst_name name = do+  (df, tvbs, cons) <- getDataD ("I cannot make an instance of " ++ inst_name+                                ++ " for it.") name+  dtvbs <- mapM dsTvbVis tvbs+  let data_ty = foldTypeTvbs (DConT name) dtvbs+  dcons <- concatMapM (dsCon dtvbs data_ty) cons+  let data_decl = DataDecl df name dtvbs dcons+  raw_inst <- mk_inst Nothing data_ty data_decl+  (a_inst, decs) <- promoteM [] $+                    promoteInstanceDec OMap.empty Map.empty raw_inst+  decs' <- singDecsM [] $ (:[]) <$> singInstD a_inst+  return $ decsToTH (decs ++ decs')++singInfo :: OptionsMonad q => DInfo -> q [DDec]+singInfo (DTyConI dec _) =+  singTopLevelDecs [] [dec]+singInfo (DPrimTyConI _name _numArgs _unlifted) =+  fail "Singling of primitive type constructors not supported"+singInfo (DVarI _name _ty _mdec) =+  fail "Singling of value info not supported"+singInfo (DTyVarI _name _ty) =+  fail "Singling of type variable info not supported"+singInfo (DPatSynI {}) =+  fail "Singling of pattern synonym info not supported"++singTopLevelDecs :: OptionsMonad q => [Dec] -> [DDec] -> q [DDec]+singTopLevelDecs locals raw_decls = withLocalDeclarations locals $ do+  decls <- expand raw_decls     -- expand type synonyms+  PDecs { pd_let_decs                = letDecls+        , pd_class_decs              = classes+        , pd_instance_decs           = insts+        , pd_data_decs               = datas+        , pd_ty_syn_decs             = ty_syns+        , pd_open_type_family_decs   = o_tyfams+        , pd_closed_type_family_decs = c_tyfams+        , pd_derived_eq_decs         = derivedEqDecs+        , pd_derived_ord_decs        = derivedOrdDecs+        , pd_derived_show_decs       = derivedShowDecs } <- partitionDecs decls++  ((letDecEnv, classes', insts'), promDecls) <- promoteM locals $ do+    defunTopLevelTypeDecls ty_syns c_tyfams o_tyfams+    recSelLetDecls <- promoteDataDecs datas+    (_, letDecEnv) <- promoteLetDecs Nothing $ recSelLetDecls ++ letDecls+    classes' <- mapM promoteClassDec classes+    let meth_sigs    = foldMap (lde_types . cd_lde) classes+        cls_tvbs_map = Map.fromList $ map (\cd -> (cd_name cd, cd_tvbs cd)) classes+    insts' <- mapM (promoteInstanceDec meth_sigs cls_tvbs_map) insts+    return (letDecEnv, classes', insts')++  singDecsM locals $ do+    dataLetBinds <- concatMapM buildDataLets datas+    methLetBinds <- concatMapM buildMethLets classes+    let letBinds = dataLetBinds ++ methLetBinds+    (newLetDecls, singIDefunDecls, newDecls)+                            <- bindLets letBinds $+                               singLetDecEnv letDecEnv $ do+                                 newDataDecls <- concatMapM singDataD datas+                                 newClassDecls <- mapM singClassD classes'+                                 newInstDecls <- mapM singInstD insts'+                                 newDerivedEqDecs <- concatMapM singDerivedEqDecs derivedEqDecs+                                 newDerivedOrdDecs <- concatMapM singDerivedOrdDecs derivedOrdDecs+                                 newDerivedShowDecs <- concatMapM singDerivedShowDecs derivedShowDecs+                                 return $ newDataDecls ++ newClassDecls+                                                       ++ newInstDecls+                                                       ++ newDerivedEqDecs+                                                       ++ newDerivedOrdDecs+                                                       ++ newDerivedShowDecs+    return $ promDecls ++ (map DLetDec newLetDecls) ++ singIDefunDecls ++ newDecls++-- see comment at top of file+buildDataLets :: OptionsMonad q => DataDecl -> q [(Name, DExp)]+buildDataLets (DataDecl _df _name _tvbs cons) = do+  opts <- getOptions+  fld_sels <- qIsExtEnabled LangExt.FieldSelectors+  pure $ concatMap (con_num_args opts fld_sels) cons+  where+    con_num_args :: Options -> Bool -> DCon -> [(Name, DExp)]+    con_num_args opts fld_sels (DCon _tvbs _cxt name fields _rty) =+      (name, wrapSingFun (length (tysOfConFields fields))+                         (DConT $ defunctionalizedName0 opts name)+                         (DConE $ singledDataConName opts name))+      : rec_selectors opts fld_sels fields++    rec_selectors :: Options -> Bool -> DConFields -> [(Name, DExp)]+    rec_selectors opts fld_sels con+      | fld_sels+      = case con of+          DNormalC {} -> []+          DRecC fields ->+            let names = map fstOf3 fields in+            [ (name, wrapSingFun 1 (DConT $ defunctionalizedName0 opts name)+                                   (DVarE $ singledValueName opts name))+            | name <- names ]++      | otherwise+      = []++-- see comment at top of file+buildMethLets :: OptionsMonad q => UClassDecl -> q [(Name, DExp)]+buildMethLets (ClassDecl { cd_lde = LetDecEnv { lde_types = meth_sigs } }) = do+  opts <- getOptions+  pure $ map (mk_bind opts) (OMap.assocs meth_sigs)+  where+    mk_bind opts (meth_name, meth_ty) =+      ( meth_name+      , wrapSingFun (countArgs meth_ty) (DConT $ defunctionalizedName0 opts meth_name)+                                        (DVarE $ singledValueName opts meth_name) )++singClassD :: AClassDecl -> SgM DDec+singClassD (ClassDecl { cd_cxt  = cls_cxt+                      , cd_name = cls_name+                      , cd_tvbs = cls_tvbs+                      , cd_fds  = cls_fundeps+                      , cd_lde  = LetDecEnv { lde_defns = default_defns+                                            , lde_types = meth_sigs+                                            , lde_infix = fixities+                                            , lde_proms = promoted_defaults } }) =+  bindContext [foldTypeTvbs (DConT cls_name) cls_tvbs] $ do+    opts <- getOptions+    mb_cls_sak <- dsReifyType cls_name+    let sing_cls_name   = singledClassName opts cls_name+        mb_sing_cls_sak = fmap (DKiSigD sing_cls_name) mb_cls_sak+    cls_infix_decls <- singReifiedInfixDecls $ cls_name:meth_names+    (sing_sigs, _, tyvar_names, cxts, res_kis, singIDefunss)+      <- unzip6 <$> zipWithM (singTySig no_meth_defns meth_sigs)+                             meth_names+                             (map (DConT . defunctionalizedName0 opts) meth_names)+    emitDecs $ maybeToList mb_sing_cls_sak ++ cls_infix_decls ++ concat singIDefunss+    let default_sigs = catMaybes $+                       zipWith4 (mk_default_sig opts) meth_names sing_sigs+                                                      tyvar_names res_kis+    sing_meths <- mapM (uncurry (singLetDecRHS (Map.fromList cxts)))+                       (OMap.assocs default_defns)+    fixities' <- mapMaybeM (uncurry singInfixDecl) $ OMap.assocs fixities+    cls_cxt' <- mapM singPred cls_cxt+    return $ DClassD cls_cxt'+                     sing_cls_name+                     cls_tvbs+                     cls_fundeps   -- they are fine without modification+                     (map DLetDec (sing_sigs ++ sing_meths ++ fixities') ++ default_sigs)+  where+    no_meth_defns = error "Internal error: can't find declared method type"+    meth_names    = map fst $ OMap.assocs meth_sigs++    mk_default_sig :: Options -> Name -> DLetDec -> [Name] -> Maybe DType -> Maybe DDec+    mk_default_sig opts meth_name (DSigD s_name sty) bound_kvs (Just res_ki) =+      DDefaultSigD s_name <$> add_constraints opts meth_name sty bound_kvs res_ki+    mk_default_sig _ _ _ _ _ = error "Internal error: a singled signature isn't a signature."++    add_constraints :: Options -> Name -> DType -> [Name] -> DType -> Maybe DType+    -- We must look through `... :: Type` kind annotations, which can be added+    -- when singling type signatures lacking explicit `forall`s.+    -- See Note [Preserve the order of type variables during singling]+    -- (wrinkle 1) in D.S.TH.Single.Type.+    add_constraints opts meth_name (DSigT sty ski) bound_kvs res_ki = do+      sty' <- add_constraints opts meth_name sty bound_kvs res_ki+      pure $ DSigT sty' ski+    add_constraints opts meth_name sty bound_kvs res_ki = do+      (tvbs, cxt, args, res) <- unravelVanillaDType sty+      prom_dflt <- OMap.lookup meth_name promoted_defaults++      -- Filter out explicitly bound kind variables. Otherwise, if you had+      -- the following class (#312):+      --+      --  class Foo a where+      --    bar :: a -> b -> b+      --    bar _ x = x+      --+      -- Then it would be singled to:+      --+      --  class SFoo a where+      --    sBar :: forall b (x :: a) (y :: b). Sing x -> Sing y -> Sing (sBar x y)+      --    default :: forall b (x :: a) (y :: b).+      --               (Bar b x y) ~ (BarDefault b x y) => ...+      --+      -- Which applies Bar/BarDefault to b, which shouldn't happen.+      let tvs = map tvbToType $+                filter (\tvb -> extractTvbName tvb `Set.member` bound_kv_set) tvbs+          prom_meth =  DConT $ defunctionalizedName0 opts meth_name+          default_pred = foldType (DConT equalityName)+                                -- NB: Need the res_ki here to prevent ambiguous+                                -- kinds in result-inferred default methods.+                                -- See #175+                               [ foldApply prom_meth tvs `DSigT` res_ki+                               , foldApply prom_dflt tvs ]+      return $ ravelVanillaDType tvbs (default_pred : cxt) args res+      where+        bound_kv_set = Set.fromList bound_kvs++singInstD :: AInstDecl -> SgM DDec+singInstD (InstDecl { id_cxt = cxt, id_name = inst_name, id_arg_tys = inst_tys+                    , id_sigs = inst_sigs, id_meths = ann_meths }) = do+  opts <- getOptions+  let s_inst_name = singledClassName opts inst_name+  bindContext cxt $ do+    cxt' <- mapM singPred cxt+    inst_kis <- mapM promoteType inst_tys+    meths <- concatMapM (uncurry sing_meth) ann_meths+    return (DInstanceD Nothing+                       Nothing+                       cxt'+                       (foldl DAppT (DConT s_inst_name) inst_kis)+                       meths)++  where+    sing_meth :: Name -> ALetDecRHS -> SgM [DDec]+    sing_meth name rhs = do+      opts <- getOptions+      mb_s_info <- dsReify (singledValueName opts name)+      inst_kis <- mapM promoteType inst_tys+      let mk_subst cls_tvbs = Map.fromList $ zip (map extractTvbName vis_cls_tvbs) inst_kis+            where+              -- This is a half-hearted attempt to address the underlying problem+              -- in #358, where we can sometimes have more class type variables+              -- (due to implicit kind arguments) than class arguments. This just+              -- ensures that the explicit type variables are properly mapped+              -- to the class arguments, leaving the implicit kind variables+              -- unmapped. That could potentially cause *other* problems, but+              -- those are perhaps best avoided by using InstanceSigs. At the+              -- very least, this workaround will make error messages slightly+              -- less confusing.+              vis_cls_tvbs = drop (length cls_tvbs - length inst_kis) cls_tvbs++          sing_meth_ty :: DType -> SgM DType+          sing_meth_ty inner_ty = do+            -- Make sure to expand through type synonyms here! Not doing so+            -- resulted in #167.+            raw_ty <- expand inner_ty+            (s_ty, _num_args, _tyvar_names, _ctxt, _arg_kis, _res_ki)+              <- singType (DConT $ defunctionalizedName0 opts name) raw_ty+            pure s_ty++      s_ty <- case OMap.lookup name inst_sigs of+        Just inst_sig ->+          -- We have an InstanceSig, so just single that type.+          sing_meth_ty inst_sig+        Nothing -> case mb_s_info of+          -- We don't have an InstanceSig, so we must compute the type to use+          -- in the singled instance ourselves through reification.+          Just (DVarI _ (DForallT (DForallInvis cls_tvbs) (DConstrainedT _cls_pred s_ty)) _) ->+            pure $ substType (mk_subst cls_tvbs) s_ty+          _ -> do+            mb_info <- dsReify name+            case mb_info of+              Just (DVarI _ (DForallT (DForallInvis cls_tvbs)+                                      (DConstrainedT _cls_pred inner_ty)) _) -> do+                s_ty <- sing_meth_ty inner_ty+                pure $ substType (mk_subst cls_tvbs) s_ty+              _ -> fail $ "Cannot find type of method " ++ show name++      meth' <- singLetDecRHS+                 Map.empty -- Because we are singling an instance declaration,+                           -- we aren't generating defunctionalization symbols+                           -- for the class methods, and hence we aren't+                           -- generating any SingI instances. Therefore, we+                           -- don't need to include anything in this Map.+                 name rhs+      return $ map DLetDec [DSigD (singledValueName opts name) s_ty, meth']++singLetDecEnv :: ALetDecEnv+              -> SgM a+              -> SgM ([DLetDec], [DDec], a)+                 -- Return:+                 --+                 -- 1. The singled let-decs+                 -- 2. SingI instances for any defunctionalization symbols+                 --    (see Data.Singletons.TH.Single.Defun)+                 -- 3. The result of running the `SgM a` action+singLetDecEnv (LetDecEnv { lde_defns = defns+                         , lde_types = types+                         , lde_infix = infix_decls+                         , lde_proms = proms })+              thing_inside = do+  let prom_list = OMap.assocs proms+  (typeSigs, letBinds, _tyvarNames, cxts, _res_kis, singIDefunss)+    <- unzip6 <$> mapM (uncurry (singTySig defns types)) prom_list+  infix_decls' <- mapMaybeM (uncurry singInfixDecl) $ OMap.assocs infix_decls+  bindLets letBinds $ do+    let_decs <- mapM (uncurry (singLetDecRHS (Map.fromList cxts)))+                     (OMap.assocs defns)+    thing <- thing_inside+    return (infix_decls' ++ typeSigs ++ let_decs, concat singIDefunss, thing)++singTySig :: OMap Name ALetDecRHS  -- definitions+          -> OMap Name DType       -- type signatures+          -> Name -> DType         -- the type is the promoted type, not the type sig!+          -> SgM ( DLetDec         -- the new type signature+                 , (Name, DExp)    -- the let-bind entry+                 , [Name]          -- the scoped tyvar names in the tysig+                 , (Name, DCxt)    -- the context of the type signature+                 , Maybe DKind     -- the result kind in the tysig+                 , [DDec]          -- SingI instances for defun symbols+                 )+singTySig defns types name prom_ty = do+  opts <- getOptions+  let sName = singledValueName opts name+  case OMap.lookup name types of+    Nothing -> do+      num_args <- guess_num_args+      (sty, tyvar_names) <- mk_sing_ty num_args+      singIDefuns <- singDefuns name VarName []+                                (map (const Nothing) tyvar_names) Nothing+      return ( DSigD sName sty+             , (name, wrapSingFun num_args prom_ty (DVarE sName))+             , tyvar_names+             , (name, [])+             , Nothing+             , singIDefuns )+    Just ty -> do+      (sty, num_args, tyvar_names, ctxt, arg_kis, res_ki)+        <- singType prom_ty ty+      bound_cxt <- askContext+      singIDefuns <- singDefuns name VarName (bound_cxt ++ ctxt)+                                (map Just arg_kis) (Just res_ki)+      return ( DSigD sName sty+             , (name, wrapSingFun num_args prom_ty (DVarE sName))+             , tyvar_names+             , (name, ctxt)+             , Just res_ki+             , singIDefuns )+  where+    guess_num_args :: SgM Int+    guess_num_args =+      case OMap.lookup name defns of+        Nothing -> fail "Internal error: promotion known for something not let-bound."+        Just (AValue _) -> return 0+        Just (AFunction n _) -> return n++      -- create a Sing t1 -> Sing t2 -> ... type of a given arity and result type+    mk_sing_ty :: Int -> SgM (DType, [Name])+    mk_sing_ty n = do+      arg_names <- replicateM n (qNewName "arg")+      -- If there are no arguments, use `Sing @_` instead of `Sing`.+      -- See Note [Disable kind generalization for local functions if possible]+      let sing_w_wildcard | n == 0    = singFamily `DAppKindT` DWildCardT+                          | otherwise = singFamily+      return ( ravelVanillaDType+                 (map (`DPlainTV` SpecifiedSpec) arg_names)+                 []+                 (map (\nm -> singFamily `DAppT` DVarT nm) arg_names)+                 (sing_w_wildcard `DAppT`+                      (foldApply prom_ty (map DVarT arg_names)))+             , arg_names )++{-+Note [Disable kind generalization for local functions if possible]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+Consider this example (from #296):++  f :: forall a. MyProxy a -> MyProxy a+  f MyProxy =+    let x = let z :: MyProxy a+                z = MyProxy in z+    in x++A naïve attempt at singling `f` is as follows:++  type LetZ :: MyProxy a+  type family LetZ where+    LetZ = 'MyProxy++  type family LetX where+    LetX = LetZ++  type F :: forall a. MyProxy a -> MyProxy a+  type family F x where+    F 'MyProxy = LetX++  sF :: forall a (t :: MyProxy a). Sing t -> Sing (F t :: MyProxy a)+  sF SMyProxy =+    let sX :: Sing LetX+        sX = let sZ :: Sing (LetZ :: MyProxy a)+                 sZ = SMyProxy in sZ+    in sX++This will not typecheck, however. The is because the return kind of+`LetX` (in `let sX :: Sing LetX`) will get generalized by virtue of `sX`+having a type signature. It's as if one had written this:++  sF :: forall a (t :: MyProxy a). Sing t -> Sing (F t :: MyProxy a)+  sF SMyProxy =+    let sX :: forall a1. Sing (LetX :: MyProxy a1)+        sX = ...++This is too general, since `sX` will only typecheck if the return kind of+`LetX` is `MyProxy a`, not `MyProxy a1`. In order to avoid this problem,+we need to avoid kind generalization when kind-checking the type of `sX`.+To accomplish this, we borrow a trick from+Note [The id hack; or, how singletons-th learned to stop worrying and avoid kind generalization]+and use TypeApplications plus a wildcard type. That is, we generate this code+for `sF`:++  sF :: forall a (t :: MyProxy a). Sing t -> Sing (F t :: MyProxy a)+  sF SMyProxy =+    let sX :: Sing @_ LetX+        sX = ...++The presence of the wildcard type disables kind generalization, which allows+GHC's kind inference to deduce that the return kind of `LetX` should be `a`.+Now `sF` typechecks, and since we only use wildcards within visible kind+applications, we don't even have to force users to enable+PartialTypeSignatures. Hooray!++Question: where should we put wildcard types when singling? One possible answer+is: put a wildcard in any type signature that gets generated when singling a+function that lacks a type signature. Unfortunately, this is a step too far.+This will break singling the `foldr` function:++    foldr                   :: (a -> b -> b) -> b -> [a] -> b+    foldr k z = go+              where+                go []     = z+                go (y:ys) = y `k` go ys++If the type of `sGo` is given a wildcard, then it will fail to typecheck. This+is because `sGo` is polymorphically recursive, so disabling kind generalization+forces GHC to infer `sGo`'s type. Attempting to infer a polymorphically+recursive type, unsurprisingly, leads to failure.++To avoid this sort of situation, where adopt a simple metric: if a function+lacks a type signature, only put @_ in its singled type signature if it has+zero arguments. This allows `sX` to typecheck without breaking things like+`sGo`. This metric is a bit conservative, however, since it means that this+small tweak to `x` still would not typecheck:++  f :: forall a. MyProxy a -> MyProxy a+  f MyProxy =+    let x () = let z :: MyProxy a+                   z = MyProxy in z+    in x ()++We need not let perfect be the enemy of good, however. It is extremely+common for local definitions to have zero arguments, so it makes good sense+to optimize for that special case. In fact, this special treatment is the only+reason that `foo8` from the `T183` test case singles successfully, since+the as-patterns in `foo8` desugar to code very similar to the `f` example+above.+-}++singLetDecRHS :: Map Name DCxt    -- the context of the type signature+                                  -- (might not be known)+              -> Name -> ALetDecRHS -> SgM DLetDec+singLetDecRHS cxts name ld_rhs = do+  opts <- getOptions+  bindContext (Map.findWithDefault [] name cxts) $+    case ld_rhs of+      AValue exp ->+        DValD (DVarP (singledValueName opts name)) <$>+        singExp exp+      AFunction _num_arrows clauses ->+        DFunD (singledValueName opts name) <$>+              mapM singClause clauses++singClause :: ADClause -> SgM DClause+singClause (ADClause var_proms pats exp) = do+  opts <- getOptions+  (sPats, sigPaExpsSigs) <- evalForPair $ mapM (singPat (Map.fromList var_proms)) pats+  let lambda_binds = map (\(n,_) -> (n, singledValueName opts n)) var_proms+  sBody <- bindLambdas lambda_binds $ singExp exp+  return $ DClause sPats $ mkSigPaCaseE sigPaExpsSigs sBody++singPat :: Map Name Name   -- from term-level names to type-level names+        -> ADPat+        -> QWithAux SingDSigPaInfos SgM DPat+singPat var_proms = go+  where+    go :: ADPat -> QWithAux SingDSigPaInfos SgM DPat+    go (ADLitP _lit) =+      fail "Singling of literal patterns not yet supported"+    go (ADVarP name) = do+      opts <- getOptions+      tyname <- case Map.lookup name var_proms of+                  Nothing     ->+                    fail "Internal error: unknown variable when singling pattern"+                  Just tyname -> return tyname+      pure $ DVarP (singledValueName opts name)+               `DSigP` (singFamily `DAppT` DVarT tyname)+    go (ADConP name tys pats) = do+      opts <- getOptions+      DConP (singledDataConName opts name) tys <$> mapM go pats+    go (ADTildeP pat) = do+      qReportWarning+        "Lazy pattern converted into regular pattern during singleton generation."+      go pat+    go (ADBangP pat) = DBangP <$> go pat+    go (ADSigP prom_pat pat ty) = do+      pat' <- go pat+      -- Normally, calling dPatToDExp would be dangerous, since it fails if the+      -- supplied pattern contains any wildcard patterns. However, promotePat+      -- (which produced the pattern we're passing into dPatToDExp) maintains+      -- an invariant that any promoted pattern signatures will be free of+      -- wildcard patterns in the underlying pattern.+      -- See Note [Singling pattern signatures].+      addElement (dPatToDExp pat', DSigT prom_pat ty)+      pure pat'+    go ADWildP = pure DWildP++-- | If given a non-empty list of 'SingDSigPaInfos', construct a case expression+-- that brings singleton equality constraints into scope via pattern-matching.+-- See @Note [Singling pattern signatures]@.+mkSigPaCaseE :: SingDSigPaInfos -> DExp -> DExp+mkSigPaCaseE exps_with_sigs exp+  | null exps_with_sigs = exp+  | otherwise =+      let (exps, sigs) = unzip exps_with_sigs+          scrutinee = mkTupleDExp exps+          pats = map (DSigP DWildP . DAppT (DConT singFamilyName)) sigs+      in DCaseE scrutinee [DMatch (mkTupleDPat pats) exp]++-- Note [Annotate case return type]+-- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+--+-- We're straining GHC's type inference here. One particular trouble area+-- is determining the return type of a GADT pattern match. In general, GHC+-- cannot infer return types of GADT pattern matches because the return type+-- becomes "untouchable" in the case matches. See the OutsideIn paper. But,+-- during singletonization, we *know* the return type. So, just add a type+-- annotation. See #54.+--+-- In particular, we add a type annotation in a somewhat unorthodox fashion.+-- Instead of the usual `(x :: t)`, we use `id @t x`. See+-- Note [The id hack; or, how singletons-th learned to stop worrying and avoid+-- kind generalization] for an explanation of why we do this.++-- Note [Why error is so special]+-- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+-- Some of the transformations that happen before this point produce impossible+-- case matches. We must be careful when processing these so as not to make+-- an error GHC will complain about. When binding the case-match variables, we+-- normally include an equality constraint saying that the scrutinee is equal+-- to the matched pattern. But, we can't do this in inaccessible matches, because+-- equality is bogus, and GHC (rightly) complains. However, we then have another+-- problem, because GHC doesn't have enough information when type-checking the+-- RHS of the inaccessible match to deem it type-safe. The solution: treat error+-- as super-special, so that GHC doesn't look too hard at singletonized error+-- calls. Specifically, DON'T do the applySing stuff. Just use sError, which+-- has a custom type (Sing x -> a) anyway.++-- Note [Singling pattern signatures]+-- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+-- We want to single a pattern signature, like so:+--+--   f :: Maybe a -> a+--   f (Just x :: Maybe a) = x+--+-- Naïvely, one might expect this to single straightfowardly as:+--+--   sF :: forall (z :: Maybe a). Sing z -> Sing (F z)+--   sF (SJust sX :: Sing (Just x :: Maybe a)) = sX+--+-- But the way GHC typechecks patterns prevents this from working, as GHC won't+-- know that the type `z` is actually `Just x` until /after/ the entirety of+-- the `SJust sX` pattern has been typechecked. (See Trac #12018 for an+-- extended discussion on this topic.)+--+-- To work around this design, we resort to a somewhat unsightly trick:+-- immediately after matching on all the patterns, we perform a case on every+-- pattern with a pattern signature, like so:+--+--   sF :: forall (z :: Maybe a). Sing z -> Sing (F z)+--   sF (SJust sX :: Sing z)+--     = case (SJust sX :: Sing z) of+--         (_ :: Sing (Just x :: Maybe a)) -> sX+--+-- Now GHC accepts the fact that `z` is `Just x`, and all is well. In order+-- to support this construction, the type of singPat is augmented with some+-- extra information in the form of SingDSigPaInfos:+--+--   type SingDSigPaInfos = [(DExp, DType)]+--+-- Where the DExps corresponds to the expressions we case on just after the+-- patterns (`SJust sX :: Sing x`, in the example above), and the DTypes+-- correspond to the singled pattern signatures to use in the case alternative+-- (`Sing (Just x :: Maybe a)` in the example above). singPat appends to the+-- list of SingDSigPaInfos whenever it processes a DSigPa (pattern signature),+-- and call sites can pass these SingDSigPaInfos to mkSigPaCaseE to construct a+-- case expression like the one featured above.+--+-- Some interesting consequences of this design:+--+-- 1. We must promote DPats to ADPats, a variation of DPat where the annotated+--    DSigPa counterpart, ADSigPa, stores the type that the original DPat was+--    promoted to. This is necessary since promoting the type might have+--    generated fresh variable names, so we need to be able to use the same+--    names when singling.+--+-- 2. Also when promoting a DSigPa to an ADSigPa, we remove any wildcards from+--    the underlying pattern. To see why this is necessary, consider singling+--    this example:+--+--      g (Just _ :: Maybe a) = "hi"+--+--    This must single to something like this:+--+--      sG (SJust _ :: Sing z)+--        = case (SJust _ :: Sing z) of+--            (_ :: Sing (Just _ :: Maybe a)) -> "hi"+--+--    But `SJust _` is not a valid expression, and since the minimal th-desugar+--    AST lacks as-patterns, we can't replace it with something like+--    `sG x@(SJust _ :: Sing z) = case x of ...`. But even if the th-desugar+--    AST /did/ have as-patterns, we'd still be in trouble, as `Just _` isn't+--    a valid type without the use of -XPartialTypeSignatures, which isn't a+--    design we want to force upon others.+--+--    We work around both issues by simply converting all wildcard patterns+--    from the pattern that has a signature. That means our example becomes:+--+--      sG (SJust sWild :: Sing z)+--        = case (SJust sWild :: Sing z) of+--            (_ :: Sing (Just wild :: Maybe a)) -> "hi"+--+--    And now everything is hunky-dory.++singExp :: ADExp -> SgM DExp+  -- See Note [Why error is so special]+singExp (ADVarE err `ADAppE` arg)+  | err == errorName = do opts <- getOptions+                          DAppE (DVarE (singledValueName opts err)) <$>+                            singExp arg+singExp (ADVarE name) = lookupVarE name+singExp (ADConE name) = lookupConE name+singExp (ADLitE lit)  = singLit lit+singExp (ADAppE e1 e2) = do+  e1' <- singExp e1+  e2' <- singExp e2+  -- `applySing undefined x` kills type inference, because GHC can't figure+  -- out the type of `undefined`. So we don't emit `applySing` there.+  if isException e1'+  then return $ e1' `DAppE` e2'+  else return $ (DVarE applySingName) `DAppE` e1' `DAppE` e2'+singExp (ADLamE ty_names prom_lam names exp) = do+  opts <- getOptions+  let sNames = map (singledValueName opts) names+  exp' <- bindLambdas (zip names sNames) $ singExp exp+  -- we need to bind the type variables... but DLamE doesn't allow SigT patterns.+  -- So: build a case+  let caseExp = DCaseE (mkTupleDExp (map DVarE sNames))+                       [DMatch (mkTupleDPat+                                (map ((DWildP `DSigP`) .+                                      (singFamily `DAppT`) .+                                      DVarT) ty_names)) exp']+  return $ wrapSingFun (length names) prom_lam $ DLamE sNames caseExp+singExp (ADCaseE exp matches ret_ty) =+    -- See Note [Annotate case return type] and+    --     Note [The id hack; or, how singletons-th learned to stop worrying and+    --           avoid kind generalization]+  DAppE (DAppTypeE (DVarE 'id)+                   (singFamily `DAppT` ret_ty))+    <$> (DCaseE <$> singExp exp <*> mapM singMatch matches)+singExp (ADLetE env exp) = do+  -- We intentionally discard the SingI instances for exp's defunctionalization+  -- symbols, as we also do not generate the declarations for the+  -- defunctionalization symbols in the first place during promotion.+  (let_decs, _, exp') <- singLetDecEnv env $ singExp exp+  pure $ DLetE let_decs exp'+singExp (ADSigE prom_exp exp ty) = do+  exp' <- singExp exp+  pure $ DSigE exp' $ DConT singFamilyName `DAppT` DSigT prom_exp ty++-- See Note [DerivedDecl] in Data.Singletons.TH.Syntax+singDerivedEqDecs :: DerivedEqDecl -> SgM [DDec]+singDerivedEqDecs (DerivedDecl { ded_mb_cxt     = mb_ctxt+                               , ded_type       = ty+                               , ded_type_tycon = ty_tycon+                               , ded_decl       = DataDecl _ _ _ cons }) = do+  (scons, _) <- singM [] $ mapM (singCtor ty_tycon) cons+  mb_sctxt <- mapM (mapM singPred) mb_ctxt+  -- Beware! The user might have specified an instance context like this:+  --+  --   deriving instance Eq a => Eq (T a Int)+  --+  -- When we single the context, it will become (SEq a). But we do *not* want+  -- this for the SDecide instance! The simplest solution is to simply replace+  -- all occurrences of SEq with SDecide in the context.+  mb_sctxtDecide <- traverse (traverse sEqToSDecide) mb_sctxt+  sDecideInst <- mkDecideInstance mb_sctxtDecide ty cons scons+  eqInst <- mkEqInstanceForSingleton ty ty_tycon+  testInsts <- traverse (mkTestInstance mb_sctxtDecide ty ty_tycon cons)+                        [TestEquality, TestCoercion]+  return (sDecideInst:eqInst:testInsts)++-- Walk a DPred, replacing all occurrences of SEq with SDecide.+sEqToSDecide :: OptionsMonad q => DPred -> q DPred+sEqToSDecide p = do+  opts <- getOptions+  pure $ modifyConNameDType (\n ->+         if n == singledClassName opts eqName+            then sDecideClassName+            else n) p++-- See Note [DerivedDecl] in Data.Singletons.TH.Syntax+singDerivedOrdDecs :: DerivedOrdDecl -> SgM [DDec]+singDerivedOrdDecs (DerivedDecl { ded_type       = ty+                                , ded_type_tycon = ty_tycon }) = do+    ord_inst <- mkOrdInstanceForSingleton ty ty_tycon+    pure [ord_inst]++-- See Note [DerivedDecl] in Data.Singletons.TH.Syntax+singDerivedShowDecs :: DerivedShowDecl -> SgM [DDec]+singDerivedShowDecs (DerivedDecl { ded_mb_cxt     = mb_cxt+                                 , ded_type       = ty+                                 , ded_type_tycon = ty_tycon+                                 , ded_decl       = DataDecl _ _ _ cons }) = do+    opts <- getOptions+    z <- qNewName "z"+    -- Generate a Show instance for a singleton type, like this:+    --+    --   deriving instance (ShowSing a, ShowSing b) => Sing (SEither (z :: Either a b))+    --+    -- Be careful: we want to generate an instance context that uses ShowSing,+    -- not SShow.+    show_cxt <- inferConstraintsDef (fmap mkShowSingContext mb_cxt)+                                    (DConT showSingName)+                                    ty cons+    ki <- promoteType ty+    let sty_tycon = singledDataTypeName opts ty_tycon+        show_inst = DStandaloneDerivD Nothing Nothing show_cxt+                      (DConT showName `DAppT` (DConT sty_tycon `DAppT` DSigT (DVarT z) ki))+    pure [show_inst]++isException :: DExp -> Bool+isException (DVarE n)             = nameBase n == "sUndefined"+isException (DConE {})            = False+isException (DLitE {})            = False+isException (DAppE (DVarE fun) _) | nameBase fun == "sError" = True+isException (DAppE fun _)         = isException fun+isException (DAppTypeE e _)       = isException e+isException (DLamE _ _)           = False+isException (DCaseE e _)          = isException e+isException (DLetE _ e)           = isException e+isException (DSigE e _)           = isException e+isException (DStaticE e)          = isException e+isException (DTypedBracketE e)    = isException e+isException (DTypedSpliceE e)     = isException e++singMatch :: ADMatch -> SgM DMatch+singMatch (ADMatch var_proms pat exp) = do+  opts <- getOptions+  (sPat, sigPaExpsSigs) <- evalForPair $ singPat (Map.fromList var_proms) pat+  let lambda_binds = map (\(n,_) -> (n, singledValueName opts n)) var_proms+  sExp <- bindLambdas lambda_binds $ singExp exp+  return $ DMatch sPat $ mkSigPaCaseE sigPaExpsSigs sExp++singLit :: Lit -> SgM DExp+singLit (IntegerL n) = do+  opts <- getOptions+  if n >= 0+     then return $+          DVarE (singledValueName opts fromIntegerName) `DAppE`+          (DVarE singMethName `DSigE`+           (singFamily `DAppT` DLitT (NumTyLit n)))+     else do sLit <- singLit (IntegerL (-n))+             return $ DVarE (singledValueName opts negateName) `DAppE` sLit+singLit (StringL str) = do+  opts <- getOptions+  let sing_str_lit = DVarE singMethName `DSigE`+                     (singFamily `DAppT` DLitT (StrTyLit str))+  os_enabled <- qIsExtEnabled LangExt.OverloadedStrings+  pure $ if os_enabled+         then DVarE (singledValueName opts fromStringName) `DAppE` sing_str_lit+         else sing_str_lit+singLit (CharL c) =+  return $ DVarE singMethName `DSigE` (singFamily `DAppT` DLitT (CharTyLit c))+singLit lit =+  fail ("Only string, natural number, and character literals can be singled: " ++ show lit)++{-+Note [The id hack; or, how singletons-th learned to stop worrying and avoid kind generalization]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+GHC 8.8 was a time of great change. In particular, 8.8 debuted a fix for+Trac #15141 (decideKindGeneralisationPlan is too complicated). To fix this, a+wily GHC developer—who shall remain unnamed, but whose username rhymes with+schmoldfire—decided to make decideKindGeneralisationPlan less complicated by,+well, removing the whole thing. One consequence of this is that local+definitions are now kind-generalized (whereas they would not have been+previously).++While schmoldfire had the noblest of intentions when authoring his fix, he+unintentionally made life much harder for singletons-th. Why? Consider the+following program:++  class Foo a where+    bar :: a -> (a -> b) -> b+    baz :: a++  quux :: Foo a => a -> a+  quux x = x `bar` \_ -> baz++When singled, this program will turn into something like this:++  type family Quux (x :: a) :: a where+    Quux x = Bar x (LambdaSym1 x)++  sQuux :: forall a (x :: a). SFoo a => Sing x -> Sing (Quux x :: a)+  sQuux (sX :: Sing x)+    = sBar sX+        ((singFun1 @(LambdaSym1 x))+           (\ sArg+              -> case sArg of {+                   (_ :: Sing arg)+                     -> (case sArg of { _ -> sBaz }) ::+                          Sing (Case x arg arg) }))++  type family Case x arg t where+    Case x arg _ = Baz+  type family Lambda x t where+    Lambda x arg = Case x arg arg+  data LambdaSym1 x t+  type instance Apply (LambdaSym1 x) t = Lambda x t++The high-level bit is the explicit `Sing (Case x arg arg)` signature. Question:+what is the kind of `Case x arg arg`? The answer depends on whether local+definitions are kind-generalized or not!++1. If local definitions are *not* kind-generalized (i.e., the status quo before+   GHC 8.8), then `Case x arg arg :: a`.+2. If local definitions *are* kind-generalized (i.e., the status quo in GHC 8.8+   and later), then `Case x arg arg :: k` for some fresh kind variable `k`.++Unfortunately, the kind of `Case x arg arg` *must* be `a` in order for `sQuux`+to type-check. This means that the code above suddenly stopped working in GHC+8.8. What's more, we can't just remove these explicit signatures, as there is+code elsewhere in `singletons-th` that crucially relies on them to guide type+inference along (e.g., `sShowParen` in `Text.Show.Singletons`).++Luckily, there is an ingenious hack that lets us the benefits of explicit+signatures without the pain of kind generalization: our old friend, the `id`+function. The plan is as follows: instead of generating this code:++  (case sArg of ...) :: Sing (Case x arg arg)++We instead generate this code:++  id @(Sing (Case x arg arg)) (case sArg of ...)++That's it! This works because visible type arguments in terms do not get kind-+generalized, unlike top-level or local signatures. Now `Case x arg arg`'s kind+is not generalized, and all is well. We dub this: the `id` hack.++One might wonder: will we need the `id` hack around forever? Perhaps not. While+GHC 8.8 removed the decideKindGeneralisationPlan function, there have been+rumblings that a future version of GHC may bring it back (in a limited form).+If this happens, it is possibly that GHC's attitude towards kind-generalizing+local definitions may change *again*, which could conceivably render the `id`+hack unnecessary. This is all speculation, of course, so all we can do now is+wait and revisit this design at a later date.+-}
src/Data/Singletons/TH/Single/Data.hs view
@@ -1,405 +1,644 @@-{- Data/Singletons/TH/Single/Data.hs
-
-(c) Richard Eisenberg 2013
-rae@cs.brynmawr.edu
-
-Singletonizes constructors.
--}
-
-module Data.Singletons.TH.Single.Data where
-
-import Language.Haskell.TH.Desugar as Desugar
-import Language.Haskell.TH.Syntax
-import Data.Maybe
-import Data.Singletons.TH.Names
-import Data.Singletons.TH.Options
-import Data.Singletons.TH.Promote.Type
-import Data.Singletons.TH.Single.Defun
-import Data.Singletons.TH.Single.Fixity
-import Data.Singletons.TH.Single.Monad
-import Data.Singletons.TH.Syntax
-import Data.Singletons.TH.Util
-import Control.Monad
-
--- We wish to consider the promotion of "Rep" to be *
--- not a promoted data constructor.
-singDataD :: DataDecl -> SgM [DDec]
-singDataD (DataDecl df name tvbs ctors) = do
-  opts <- getOptions
-  let tvbNames      = map extractTvbName tvbs
-      ctor_names    = map extractName ctors
-      rec_sel_names = concatMap extractRecSelNames ctors
-  k <- promoteType (foldType (DConT name) (map DVarT tvbNames))
-  mb_data_sak <- dsReifyType name
-  ctors' <- mapM (singCtor name) ctors
-  fixityDecs <- singReifiedInfixDecls $ ctor_names ++ rec_sel_names
-  -- instance for SingKind
-  fromSingClauses     <- mapM mkFromSingClause ctors
-  emptyFromSingClause <- mkEmptyFromSingClause
-  toSingClauses       <- mapM mkToSingClause ctors
-  emptyToSingClause   <- mkEmptyToSingClause
-  let singKindInst =
-        DInstanceD Nothing Nothing
-                   (map (singKindConstraint . DVarT) tvbNames)
-                   (DAppT (DConT singKindClassName) k)
-                   [ DTySynInstD $ DTySynEqn Nothing
-                      (DConT demoteName `DAppT` k)
-                      (foldType (DConT name)
-                        (map (DAppT demote . DVarT) tvbNames))
-                   , DLetDec $ DFunD fromSingName
-                               (fromSingClauses `orIfEmpty` [emptyFromSingClause])
-                   , DLetDec $ DFunD toSingName
-                               (toSingClauses   `orIfEmpty` [emptyToSingClause]) ]
-
-  let singDataName = singledDataTypeName opts name
-      -- e.g. type instance Sing @Nat = SNat
-      singSynInst =
-        DTySynInstD $ DTySynEqn Nothing
-                                (DConT singFamilyName `DAppKindT` k)
-                                (DConT singDataName)
-
-      -- Note that we always include an explicit result kind in the body of the
-      -- singleton data type declaration, even if it has a standalone kind
-      -- signature that would make this explicit result kind redudant.
-      -- See Note [Keep redundant kind information for Haddocks]
-      -- in D.S.TH.Promote.
-      mk_data_dec kind =
-        DDataD Data [] singDataName [] (Just kind) ctors' []
-
-      data_decs = case mb_data_sak of
-        -- No standalone kind signature. Try to figure out the order of kind
-        -- variables on a best-effort basis.
-        Nothing ->
-          let sing_tvbs = changeDTVFlags SpecifiedSpec $
-                          toposortTyVarsOf $ map dTyVarBndrToDType tvbs
-              kinded_sing_ty = DForallT (DForallInvis sing_tvbs) $
-                               DArrowT `DAppT` k `DAppT` DConT typeKindName in
-          [mk_data_dec kinded_sing_ty]
-
-        -- A standalone kind signature is provided, so use that to determine the
-        -- order of kind variables.
-        Just data_sak ->
-          let (args, _)  = unravelDType data_sak
-              vis_args   = filterDVisFunArgs args
-              vis_tvbs   = changeDTVFlags SpecifiedSpec $
-                           zipWith replaceTvbKind vis_args tvbs
-              invis_args = filterInvisTvbArgs args
-              -- If the standalone kind signature did not explicitly quantify its
-              -- kind variables, do so ourselves. This is very similar to what
-              -- D.S.TH.Single.Type.singTypeKVBs does.
-              invis_tvbs | null invis_args
-                         = changeDTVFlags SpecifiedSpec $
-                           toposortTyVarsOf [data_sak]
-                         | otherwise
-                         = invis_args
-              sing_data_sak = DForallT (DForallInvis (invis_tvbs ++ vis_tvbs)) $
-                              DArrowT `DAppT` k `DAppT` DConT typeKindName in
-          [ DKiSigD singDataName sing_data_sak
-          , mk_data_dec sing_data_sak
-          ]
-
-  return $ data_decs ++
-           singSynInst :
-           [ singKindInst | genSingKindInsts opts
-                          , -- `type data` data constructors only exist at the
-                            -- type level. As such, we cannot define SingKind
-                            -- instances for them, as they require term-level
-                            -- data constructors to implement.
-                            df /= Desugar.TypeData
-                          ] ++
-           fixityDecs
-  where -- in the Rep case, the names of the constructors are in the wrong scope
-        -- (they're types, not datacons), so we have to reinterpret them.
-        mkConName :: Name -> SgM Name
-        mkConName
-          | nameBase name == nameBase repName = mkDataName . nameBase
-          | otherwise                         = return
-
-        mkFromSingClause :: DCon -> SgM DClause
-        mkFromSingClause c = do
-          opts <- getOptions
-          let (cname, numArgs) = extractNameArgs c
-          cname' <- mkConName cname
-          varNames <- replicateM numArgs (qNewName "b")
-          return $ DClause [DConP (singledDataConName opts cname) [] (map DVarP varNames)]
-                           (foldExp
-                              (DConE cname')
-                              (map (DAppE (DVarE fromSingName) . DVarE) varNames))
-
-        mkToSingClause :: DCon -> SgM DClause
-        mkToSingClause (DCon _tvbs _cxt cname fields _rty) = do
-          opts <- getOptions
-          let types = tysOfConFields fields
-          varNames  <- mapM (const $ qNewName "b") types
-          svarNames <- mapM (const $ qNewName "c") types
-          promoted  <- mapM promoteType types
-          cname' <- mkConName cname
-          let varPats        = zipWith mkToSingVarPat varNames promoted
-              recursiveCalls = zipWith mkRecursiveCall varNames promoted
-          return $
-            DClause [DConP cname' [] varPats]
-                    (multiCase recursiveCalls
-                               (map (DConP someSingDataName [] . listify . DVarP)
-                                    svarNames)
-                               (DAppE (DConE someSingDataName)
-                                         (foldExp (DConE (singledDataConName opts cname))
-                                                  (map DVarE svarNames))))
-
-        mkToSingVarPat :: Name -> DKind -> DPat
-        mkToSingVarPat varName ki =
-          DSigP (DVarP varName) (DAppT (DConT demoteName) ki)
-
-        mkRecursiveCall :: Name -> DKind -> DExp
-        mkRecursiveCall var_name ki =
-          DSigE (DAppE (DVarE toSingName) (DVarE var_name))
-                (DAppT (DConT someSingTypeName) ki)
-
-        mkEmptyFromSingClause :: SgM DClause
-        mkEmptyFromSingClause = do
-          x <- qNewName "x"
-          pure $ DClause [DVarP x]
-               $ DCaseE (DVarE x) []
-
-        mkEmptyToSingClause :: SgM DClause
-        mkEmptyToSingClause = do
-          x <- qNewName "x"
-          pure $ DClause [DVarP x]
-               $ DConE someSingDataName `DAppE` DCaseE (DVarE x) []
-
--- Single a constructor.
-singCtor :: Name -> DCon -> SgM DCon
- -- polymorphic constructors are handled just
- -- like monomorphic ones -- the polymorphism in
- -- the kind is automatic
-singCtor dataName (DCon con_tvbs cxt name fields rty)
-  | not (null cxt)
-  = fail "Singling of constrained constructors not yet supported"
-  | otherwise
-  = do
-  opts <- getOptions
-  let types = tysOfConFields fields
-      numTypes = length types
-      sName = singledDataConName opts name
-      sCon = DConE sName
-      pCon = DConT $ promotedDataTypeOrConName opts name
-  checkVanillaDType $ ravelVanillaDType con_tvbs [] types rty
-  indexNames <- mapM (const $ qNewName "n") types
-  kinds <- mapM promoteType_NC types
-  rty' <- promoteType_NC rty
-  let indices = map DVarT indexNames
-      kindedIndices = zipWith DSigT indices kinds
-      -- The approach we use for singling data constructor types differs
-      -- slightly from the approach taken in D.S.TH.Single.Type.singType in that
-      -- we always explicitly quantify all type variables in a singled data
-      -- constructor, regardless of whether the original data constructor
-      -- explicitly quantified them or not. This explains the use of
-      -- toposortTyVarsOf below.
-      -- See Note [Preserve the order of type variables during singling]
-      -- (wrinkle 1) in D.S.TH.Single.Type.
-      kvbs | null con_tvbs
-           = changeDTVFlags SpecifiedSpec (toposortTyVarsOf (kinds ++ [rty'])) ++
-             con_tvbs
-           | otherwise
-           = con_tvbs
-      all_tvbs = kvbs ++ zipWith (`DKindedTV` SpecifiedSpec) indexNames kinds
-
-  -- @mb_SingI_dec k@ returns 'Just' an instance of @SingI<k>@ if @k@ is
-  -- less than or equal to the number of fields in the data constructor.
-  -- Otherwise, it returns 'Nothing'.
-  let mb_SingI_dec :: Int -> Maybe DDec
-      mb_SingI_dec k
-        | k <= numTypes
-        = let take_until_k = take (numTypes - k) in
-          Just $ DInstanceD Nothing Nothing
-                   (map (DAppT (DConT singIName)) (take_until_k indices))
-                   (DAppT (DConT (mkSingIName k))
-                          (foldType pCon (take_until_k kindedIndices)))
-                   [DLetDec $ DValD (DVarP (mkSingMethName k))
-                          (foldExp sCon (replicate (numTypes - k) (DVarE singMethName)))]
-        | otherwise
-        = Nothing
-
-  -- SingI instance for data constructor
-  emitDecs $ mapMaybe mb_SingI_dec [0, 1, 2]
-  -- SingI instances for defunctionalization symbols. Note that we don't
-  -- support contexts in constructors at the moment, so it's fine for now to
-  -- just assume that the context is always ().
-  emitDecs =<< singDefuns name DataName [] (map Just kinds) (Just rty')
-
-  conFields <- case fields of
-    DNormalC dInfix bts -> DNormalC dInfix <$>
-                           zipWithM (\(b, _) index -> mk_bang_type b index)
-                                    bts indices
-    DRecC vbts          -> DNormalC False <$>
-                           zipWithM (\(_, b, _) index -> mk_bang_type b index)
-                                    vbts indices
-                      -- Don't bother looking at record selectors, as they are
-                      -- handled separately in singTopLevelDecs.
-                      -- See Note [singletons-th and record selectors]
-  return $ DCon all_tvbs [] sName conFields
-                (DConT (singledDataTypeName opts dataName) `DAppT`
-                  (foldType pCon indices `DSigT` rty'))
-                  -- Make sure to include an explicit `rty'` kind annotation.
-                  -- See Note [Preserve the order of type variables during singling],
-                  -- wrinkle 3, in D.S.TH.Single.Type.
-  where
-    mk_source_unpackedness :: SourceUnpackedness -> SgM SourceUnpackedness
-    mk_source_unpackedness su = case su of
-      NoSourceUnpackedness -> pure su
-      SourceNoUnpack       -> pure su
-      SourceUnpack         -> do
-        -- {-# UNPACK #-} is essentially useless in a singletons setting, since
-        -- all singled data types are GADTs. See GHC#10016.
-        qReportWarning "{-# UNPACK #-} pragmas are ignored by `singletons-th`."
-        pure NoSourceUnpackedness
-
-    mk_bang :: Bang -> SgM Bang
-    mk_bang (Bang su ss) = do su' <- mk_source_unpackedness su
-                              pure $ Bang su' ss
-
-    mk_bang_type :: Bang -> DType -> SgM DBangType
-    mk_bang_type b index = do b' <- mk_bang b
-                              pure (b', DAppT singFamily index)
-
-{-
-Note [singletons-th and record selectors]
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-Record selectors are annoying to deal with in singletons-th for various reasons:
-
-1. There is no record syntax at the type level, so promoting code that involves
-   records in some way is not straightforward.
-2. One can define record selectors for singled data types, but they're rife
-   with peril. Some pitfalls include:
-
-   * Singling record updates often produces code that does not typecheck. For
-     example, this works:
-
-       let i = Identity True in i { runIdentity = False }
-
-     But this does /not/ work:
-
-       let si = SIdentity STrue in si { sRunIdentity = SFalse }
-
-       error:
-           • Record update for insufficiently polymorphic field:
-               sRunIdentity :: Sing n
-           • In the expression: si {sRunIdentity = SFalse}
-             In the expression:
-               let si = SIdentity STrue in si {sRunIdentity = SFalse}
-
-     Ugh. See GHC#16501.
-
-   * Singling a data type with multiple constructors that share a record
-     selector name will /also/ not typecheck. While this works:
-
-       data X = X1 {y :: Bool} | X2 {y :: Bool}
-
-     This does not:
-
-       data SX :: X -> Type where
-         SX1 :: { sY :: Sing n } -> SX ('X1 n)
-         SY1 :: { sY :: Sing n } -> SX ('X2 n)
-
-       error:
-           • Constructors SX1 and SX2 have a common field ‘sY’,
-               but have different result types
-           • In the data type declaration for ‘SX’
-
-     Double ugh. See GHC#8673/GHC#12159.
-
-   * Even if a data type only has a single constructor with record selectors,
-     singling it can induce headaches. One might be tempted to single this type:
-
-       newtype Unit = MkUnit { runUnit :: () }
-
-     With this code:
-
-       data SUnit :: Unit -> Type where
-         SMkUnit :: { sRunUnit :: Sing u } -> SUnit (MkUnit u)
-
-     Somewhat surprisingly, the type of sRunUnit:
-
-       sRunUnit :: Sing (MkUnit u) -> Sing u
-
-     Is not general enough to handle common uses of record selectors. For
-     example, if you try to single this function:
-
-       f :: Unit -> ()
-       f = runUnit
-
-     Then the resulting code:
-
-       sF :: Sing (x :: Unit) -> Sing (F x :: ())
-       sF = sRunUnit
-
-     Will not typecheck. Note that sRunUnit expects an argument of type
-     `Sing (MkUnit u)`, but there is no way to know a priori that the `x` in
-     `Sing (x :: Unit)` is `MkUnit u` without pattern-matching on SMkUnit.
-
-Hopefully I have convinced you that handling records in singletons-th is a bit of
-a nightmare. Thankfully, there is a simple trick to avoid most of the pitfalls
-above: just desugar code (using th-desugar) to avoid records!
-In more concrete terms, we do the following:
-
-* A record constructions desugars to a normal constructor application. For example:
-
-    MkT{a = x, b = y}
-
-      ==>
-
-    MkT x y
-
-  Something similar occurs for record syntax in patterns.
-
-* A record update desugars to a case expression. For example:
-
-    t{a = x}
-
-      ==>
-
-    case t of MkT _ y => MkT x y
-
-We can't easily desugar away all uses of records, however. After all, records
-can be used as ordinary functions as well. We leave such uses of records alone
-when desugaring and accommodate them during promotion and singling by generating
-"manual" record selectors. As a running example, consider the earlier Unit example:
-
-  newtype Unit = MkUnit { runUnit :: () }
-
-When singling Unit, we do not give SMkUnit a record selector:
-
-  data SUnit :: Unit -> Type where
-    SMkUnit :: Sing u -> SUnit (MkUnit u)
-
-Instead, we generate a top-level function that behaves equivalently to runUnit.
-This function then gets promoted and singled (in D.S.TH.Promote.promoteDecs and
-D.S.TH.Single.singTopLevelDecs):
-
-  type family RunUnit (x :: Unit) :: () where
-    RunUnit (MkUnit x) = x
-
-  sRunUnit :: Sing (x :: Unit) -> Sing (RunUnit x :: ())
-  sRunUnit (SMkUnit sx) = sx
-
-Now promoting/singling uses of runUnit as an ordinary function work as expected
-since the types of RunUnit/sRunUnit are sufficiently general. This technique also
-scales up to data types with multiple constructors sharing a record selector name.
-For instance, in the earlier X example:
-
-  data X = X1 {y :: Bool} | X2 {y :: Bool}
-
-We would promote/single `y` like so:
-
-  type family Y (x :: X) :: Bool where
-    Y (X1 y) = y
-    Y (X2 y) = y
-
-  sY :: Sing (x :: X) -> Sing (Y x :: Bool)
-  sY (SX1 sy) = sy
-  sY (SX2 sy) = sy
-
-Manual record selectors cannot be used in record constructions or updates, but
-for most use cases this won't be an issue, since singletons-th makes an effort to
-desugar away fancy uses of records anyway. The only time this would bite is if
-you wanted to use record syntax in hand-written singletons code.
--}
+{- Data/Singletons/TH/Single/Data.hs++(c) Richard Eisenberg 2013+rae@cs.brynmawr.edu++Singletonizes constructors.+-}++module Data.Singletons.TH.Single.Data+  ( singDataD+  , singCtor+  ) where++import Language.Haskell.TH.Desugar as Desugar+import Language.Haskell.TH.Syntax+import qualified Data.Map.Strict as Map+import Data.Map.Strict (Map)+import Data.Maybe+import Data.Traversable (mapAccumL)+import Data.Singletons.TH.Names+import Data.Singletons.TH.Options+import Data.Singletons.TH.Promote.Type+import Data.Singletons.TH.Single.Defun+import Data.Singletons.TH.Single.Fixity+import Data.Singletons.TH.Single.Monad+import Data.Singletons.TH.Syntax+import Data.Singletons.TH.Util+import Control.Monad++-- We wish to consider the promotion of "Rep" to be *+-- not a promoted data constructor.+singDataD :: DataDecl -> SgM [DDec]+singDataD (DataDecl df name tvbs ctors) = do+  opts <- getOptions+  let reqTvbNames   = map extractTvbName $+                      filter (\tvb -> extractTvbFlag tvb == BndrReq) tvbs+      ctor_names    = map extractName ctors+      rec_sel_names = concatMap extractRecSelNames ctors+  k <- promoteType (foldTypeTvbs (DConT name) tvbs)+  mb_data_sak <- dsReifyType name+  ctors' <- mapM (singCtor name) ctors+  fixityDecs <- singReifiedInfixDecls $ ctor_names ++ rec_sel_names+  -- instance for SingKind+  fromSingClauses     <- mapM mkFromSingClause ctors+  emptyFromSingClause <- mkEmptyFromSingClause+  toSingClauses       <- mapM mkToSingClause ctors+  emptyToSingClause   <- mkEmptyToSingClause+  let singKindInst =+        DInstanceD Nothing Nothing+                   (map (singKindConstraint . DVarT) reqTvbNames)+                   (DAppT (DConT singKindClassName) k)+                   [ DTySynInstD $ DTySynEqn Nothing+                      (DConT demoteName `DAppT` k)+                      (foldType (DConT name)+                        (map (DAppT demote . DVarT) reqTvbNames))+                   , DLetDec $ DFunD fromSingName+                               (fromSingClauses `orIfEmpty` [emptyFromSingClause])+                   , DLetDec $ DFunD toSingName+                               (toSingClauses   `orIfEmpty` [emptyToSingClause]) ]++  let singDataName = singledDataTypeName opts name+      -- e.g. type instance Sing @Nat = SNat+      singSynInst =+        DTySynInstD $ DTySynEqn Nothing+                                (DConT singFamilyName `DAppKindT` k)+                                (DConT singDataName)++      -- Note that we always include an explicit result kind in the body of the+      -- singleton data type declaration, even if it has a standalone kind+      -- signature that would make this explicit result kind redudant.+      -- See Note [Keep redundant kind information for Haddocks]+      -- in D.S.TH.Promote.+      mk_data_dec kind =+        DDataD Data [] singDataName [] (Just kind) ctors' []++  data_decs <- case mb_data_sak of+    -- No standalone kind signature. Try to figure out the order of kind+    -- variables on a best-effort basis.+    Nothing -> do+      let sing_tvbs = changeDTVFlags SpecifiedSpec $+                      toposortTyVarsOf $ map dTyVarBndrToDType tvbs+          kinded_sing_ty = DForallT (DForallInvis sing_tvbs) $+                           DArrowT `DAppT` k `DAppT` DConT typeKindName+      pure [mk_data_dec kinded_sing_ty]++    -- A standalone kind signature is provided, so use that to determine the+    -- order of kind variables.+    Just data_sak -> do+      sing_data_sak <- singDataSAK data_sak tvbs k+      pure [ DKiSigD singDataName sing_data_sak+           , mk_data_dec sing_data_sak+           ]++  return $ data_decs +++           singSynInst :+           [ singKindInst | genSingKindInsts opts+                          , -- `type data` data constructors only exist at the+                            -- type level. As such, we cannot define SingKind+                            -- instances for them, as they require term-level+                            -- data constructors to implement.+                            df /= Desugar.TypeData+                          ] +++           fixityDecs+  where -- in the Rep case, the names of the constructors are in the wrong scope+        -- (they're types, not datacons), so we have to reinterpret them.+        mkConName :: Name -> SgM Name+        mkConName+          | nameBase name == nameBase repName = mkDataName . nameBase+          | otherwise                         = return++        mkFromSingClause :: DCon -> SgM DClause+        mkFromSingClause c = do+          opts <- getOptions+          let (cname, numArgs) = extractNameArgs c+          cname' <- mkConName cname+          varNames <- replicateM numArgs (qNewName "b")+          return $ DClause [DConP (singledDataConName opts cname) [] (map DVarP varNames)]+                           (foldExp+                              (DConE cname')+                              (map (DAppE (DVarE fromSingName) . DVarE) varNames))++        mkToSingClause :: DCon -> SgM DClause+        mkToSingClause (DCon _tvbs _cxt cname fields _rty) = do+          opts <- getOptions+          let types = tysOfConFields fields+          varNames  <- mapM (const $ qNewName "b") types+          svarNames <- mapM (const $ qNewName "c") types+          promoted  <- mapM promoteType types+          cname' <- mkConName cname+          let varPats        = zipWith mkToSingVarPat varNames promoted+              recursiveCalls = zipWith mkRecursiveCall varNames promoted+          return $+            DClause [DConP cname' [] varPats]+                    (multiCase recursiveCalls+                               (map (DConP someSingDataName [] . listify . DVarP)+                                    svarNames)+                               (DAppE (DConE someSingDataName)+                                         (foldExp (DConE (singledDataConName opts cname))+                                                  (map DVarE svarNames))))++        mkToSingVarPat :: Name -> DKind -> DPat+        mkToSingVarPat varName ki =+          DSigP (DVarP varName) (DAppT (DConT demoteName) ki)++        mkRecursiveCall :: Name -> DKind -> DExp+        mkRecursiveCall var_name ki =+          DSigE (DAppE (DVarE toSingName) (DVarE var_name))+                (DAppT (DConT someSingTypeName) ki)++        mkEmptyFromSingClause :: SgM DClause+        mkEmptyFromSingClause = do+          x <- qNewName "x"+          pure $ DClause [DVarP x]+               $ DCaseE (DVarE x) []++        mkEmptyToSingClause :: SgM DClause+        mkEmptyToSingClause = do+          x <- qNewName "x"+          pure $ DClause [DVarP x]+               $ DConE someSingDataName `DAppE` DCaseE (DVarE x) []++-- Single a constructor.+singCtor :: Name -> DCon -> SgM DCon+ -- polymorphic constructors are handled just+ -- like monomorphic ones -- the polymorphism in+ -- the kind is automatic+singCtor dataName (DCon con_tvbs cxt name fields rty)+  | not (null cxt)+  = fail "Singling of constrained constructors not yet supported"+  | otherwise+  = do+  opts <- getOptions+  let types = tysOfConFields fields+      numTypes = length types+      sName = singledDataConName opts name+      sCon = DConE sName+      pCon = DConT $ promotedDataTypeOrConName opts name+  checkVanillaDType $ ravelVanillaDType con_tvbs [] types rty+  indexNames <- mapM (const $ qNewName "n") types+  kinds <- mapM promoteType_NC types+  rty' <- promoteType_NC rty+  let indices = map DVarT indexNames+      kindedIndices = zipWith DSigT indices kinds+      -- The approach we use for singling data constructor types differs+      -- slightly from the approach taken in D.S.TH.Single.Type.singType in that+      -- we always explicitly quantify all type variables in a singled data+      -- constructor, regardless of whether the original data constructor+      -- explicitly quantified them or not. This explains the use of+      -- toposortTyVarsOf below.+      -- See Note [Preserve the order of type variables during singling]+      -- (wrinkle 1) in D.S.TH.Single.Type.+      kvbs | null con_tvbs+           = changeDTVFlags SpecifiedSpec (toposortTyVarsOf (kinds ++ [rty'])) +++             con_tvbs+           | otherwise+           = con_tvbs+      all_tvbs = kvbs ++ zipWith (`DKindedTV` SpecifiedSpec) indexNames kinds++  -- @mb_SingI_dec k@ returns 'Just' an instance of @SingI<k>@ if @k@ is+  -- less than or equal to the number of fields in the data constructor.+  -- Otherwise, it returns 'Nothing'.+  let mb_SingI_dec :: Int -> Maybe DDec+      mb_SingI_dec k+        | k <= numTypes+        = let take_until_k = take (numTypes - k) in+          Just $ DInstanceD Nothing Nothing+                   (map (DAppT (DConT singIName)) (take_until_k indices))+                   (DAppT (DConT (mkSingIName k))+                          (foldType pCon (take_until_k kindedIndices)))+                   [DLetDec $ DValD (DVarP (mkSingMethName k))+                          (foldExp sCon (replicate (numTypes - k) (DVarE singMethName)))]+        | otherwise+        = Nothing++  -- SingI instance for data constructor+  emitDecs $ mapMaybe mb_SingI_dec [0, 1, 2]+  -- SingI instances for defunctionalization symbols. Note that we don't+  -- support contexts in constructors at the moment, so it's fine for now to+  -- just assume that the context is always ().+  emitDecs =<< singDefuns name DataName [] (map Just kinds) (Just rty')++  conFields <- case fields of+    DNormalC dInfix bts -> DNormalC dInfix <$>+                           zipWithM (\(b, _) index -> mk_bang_type b index)+                                    bts indices+    DRecC vbts          -> DNormalC False <$>+                           zipWithM (\(_, b, _) index -> mk_bang_type b index)+                                    vbts indices+                      -- Don't bother looking at record selectors, as they are+                      -- handled separately in singTopLevelDecs.+                      -- See Note [singletons-th and record selectors]+  return $ DCon all_tvbs [] sName conFields+                (DConT (singledDataTypeName opts dataName) `DAppT`+                  (foldType pCon indices `DSigT` rty'))+                  -- Make sure to include an explicit `rty'` kind annotation.+                  -- See Note [Preserve the order of type variables during singling],+                  -- wrinkle 3, in D.S.TH.Single.Type.+  where+    mk_source_unpackedness :: SourceUnpackedness -> SgM SourceUnpackedness+    mk_source_unpackedness su = case su of+      NoSourceUnpackedness -> pure su+      SourceNoUnpack       -> pure su+      SourceUnpack         -> do+        -- {-# UNPACK #-} is essentially useless in a singletons setting, since+        -- all singled data types are GADTs. See GHC#10016.+        qReportWarning "{-# UNPACK #-} pragmas are ignored by `singletons-th`."+        pure NoSourceUnpackedness++    mk_bang :: Bang -> SgM Bang+    mk_bang (Bang su ss) = do su' <- mk_source_unpackedness su+                              pure $ Bang su' ss++    mk_bang_type :: Bang -> DType -> SgM DBangType+    mk_bang_type b index = do b' <- mk_bang b+                              pure (b', DAppT singFamily index)++-- @'singDataSAK' sak data_bndrs@ produces a standalone kind signature for a+-- singled data declaration, using the original data type's standalone kind+-- signature (@sak@) and its user-written binders (@data_bndrs@) as a template.+-- For this example:+--+-- @+-- type D :: forall j k. k -> j -> Type+-- data D @j @l (a :: l) b = ...+-- @+--+-- We would produce the following standalone kind signature:+--+-- @+-- type SD :: forall j l (a :: l) (b :: j). D @j @l (a :: l) b -> Type+-- @+--+-- Note that:+--+-- * This function has a precondition that the length of @data_bndrs@ must+--   always be equal to the number of visible quantifiers (i.e., the number of+--   function arrows plus the number of visible @forall@–bound variables) in+--   @sak@. @singletons-th@ maintains this invariant when constructing a+--   'DataDecl' (see the 'buildDataDTvbs' function).+--+-- * The order of the invisible quantifiers is preserved, so both+--   @D \@Bool \@Ordering@ and @SD \@Bool \@Ordering@ will work the way you would+--   expect it to.+--+-- * Whenever possible, this function reuses type variable names from the data+--   type's user-written binders. This is why the standalone kind signature uses+--   @forall j l@ instead of @forall j k@, since the @(a :: l)@ binder uses @l@+--   instead of @k@. We could have just as well chose the other way around, but+--   we chose to pick variable names from the data type binders since they scope+--   over other parts of the data type declaration (e.g., in @deriving@+--   clauses), so keeping these names avoids having to perform some+--   alpha-renaming.+singDataSAK ::+     MonadFail q+  => DKind+     -- ^ The standalone kind signature for the original data type+  -> [DTyVarBndrVis]+     -- ^ The user-written binders for the original data type+  -> DKind+     -- ^ The original data type, promoted to a kind+  -> q DKind+     -- ^ The standalone kind signature for the singled data type+singDataSAK data_sak data_bndrs data_k = do+  -- (1) First, explicitly quantify any free kind variables in `data_sak` using+  -- an invisible @forall@. This is done to ensure that precondition (2) in+  -- `matchUpSigWithDecl` is upheld. (See the Haddocks for that function).+  let data_sak_free_tvbs =+        changeDTVFlags SpecifiedSpec $ toposortTyVarsOf [data_sak]+      data_sak' = DForallT (DForallInvis data_sak_free_tvbs) data_sak++  -- (2) Next, compute type variable binders for the singled data type's+  -- standalone kind signature using `matchUpSigWithDecl`. Note that these can+  -- be biased towards type variable names mention in `data_sak` over names+  -- mentioned in `data_bndrs`, but we will fix that up in the next step.+  let (data_sak_args, _) = unravelDType data_sak'+  sing_sak_tvbs <- matchUpSigWithDecl data_sak_args data_bndrs++  -- (3) Swizzle the type variable names so that names in `data_bndrs` are+  -- preferred over names in `data_sak`.+  --+  -- This is heavily inspired by similar code in GHC:+  -- https://gitlab.haskell.org/ghc/ghc/-/blob/cec903899234bf9e25ea404477ba846ac1e963bb/compiler/GHC/Tc/Gen/HsType.hs#L2607-2616+  let invis_data_sak_args = filterInvisTvbArgs data_sak_args+      invis_data_sak_arg_nms = map extractTvbName invis_data_sak_args++      invis_data_bndrs = toposortKindVarsOfTvbs data_bndrs+      invis_data_bndr_nms = map extractTvbName invis_data_bndrs++      swizzle_env =+        Map.fromList $ zip invis_data_sak_arg_nms invis_data_bndr_nms+      (_, swizzled_sing_sak_tvbs) =+        mapAccumL (swizzleTvb swizzle_env) Map.empty sing_sak_tvbs++  -- (4) Finally, construct the kind of the singled data type.+  pure $ DForallT (DForallInvis swizzled_sing_sak_tvbs)+       $ DArrowT `DAppT` data_k `DAppT` DConT typeKindName++-- Match the quantifiers in a data type's standalone kind signature with the+-- binders in the data type declaration. This function assumes the following+-- preconditions:+--+-- 1. The number of required binders in the data type declaration is equal to+--    the number of visible quantifiers (i.e., the number of function arrows+--    plus the number of visible @forall@–bound variables) in the standalone+--    kind signature.+--+-- 2. The number of invisible \@-binders in the data type declaration is less+--    than or equal to the number of invisible quantifiers (i.e., the number of+--    invisible @forall@–bound variables) in the standalone kind signature.+--+-- The implementation of this function is heavily based on a GHC function of+-- the same name:+-- https://gitlab.haskell.org/ghc/ghc/-/blob/1464a2a8de082f66ae250d63ab9d94dbe2ef8620/compiler/GHC/Tc/Gen/HsType.hs#L2645-2715+matchUpSigWithDecl ::+     forall q.+     MonadFail q+  => DFunArgs+     -- ^ The quantifiers in the data type's standalone kind signature+  -> [DTyVarBndrVis]+     -- ^ The user-written binders in the data type declaration+  -> q [DTyVarBndrSpec]+matchUpSigWithDecl = go_fun_args Map.empty+  where+    go_fun_args ::+         DSubst+         -- ^ A substitution from the names of @forall@-bound variables in the+         -- standalone kind signature to corresponding binder names in the+         -- user-written binders. (See the Haddocks for `singDataSAK` for an+         -- explanation of why we perform this substitution.) For example:+         --+         -- @+         -- type T :: forall a. forall b -> Maybe (a, b) -> Type+         -- data T @x y z+         -- @+         --+         -- After matching up the @a@ in @forall a.@ with @x@ and+         -- the @b@ in @forall b ->@ with @y@, this substitution will be+         -- extended with @[a :-> x, b :-> y]@. This ensures that we will+         -- produce @Maybe (x, y)@ instead of @Maybe (a, b)@ in+         -- the kind for @z@.+      -> DFunArgs -> [DTyVarBndrVis] -> q [DTyVarBndrSpec]+    go_fun_args _ DFANil [] =+      pure []+    -- This should not happen, per the function's precondition+    go_fun_args _ DFANil data_bndrs =+      fail $ "matchUpSigWithDecl.go_fun_args: Too many binders: " ++ show data_bndrs+    -- GHC now disallows kind-level constraints, per this GHC proposal:+    -- https://github.com/ghc-proposals/ghc-proposals/blob/b0687d96ce8007294173b7f628042ac4260cc738/proposals/0547-no-kind-equalities.rst+    go_fun_args _ (DFACxt{}) _ =+      fail "matchUpSigWithDecl.go_fun_args: Unexpected kind-level constraint"+    go_fun_args subst (DFAForalls (DForallInvis tvbs) sig_args) data_bndrs =+      go_invis_tvbs subst tvbs sig_args data_bndrs+    go_fun_args subst (DFAForalls (DForallVis tvbs) sig_args) data_bndrs =+      go_vis_tvbs subst tvbs sig_args data_bndrs+    go_fun_args subst (DFAAnon anon sig_args) (data_bndr:data_bndrs) = do+      let data_bndr_name = extractTvbName data_bndr+          mb_data_bndr_kind = extractTvbKind data_bndr+          anon' = substType subst anon++          anon'' =+            case mb_data_bndr_kind of+              Nothing -> anon'+              Just data_bndr_kind ->+                let mb_match_subst = matchTy NoIgnore data_bndr_kind anon' in+                maybe data_bndr_kind (`substType` data_bndr_kind) mb_match_subst+      sig_args' <- go_fun_args subst sig_args data_bndrs+      pure $ DKindedTV data_bndr_name SpecifiedSpec anon'' : sig_args'+    -- This should not happen, per precondition (1).+    go_fun_args _ _ [] =+      fail "matchUpSigWithDecl.go_fun_args: Too few binders"++    go_invis_tvbs :: DSubst -> [DTyVarBndrSpec] -> DFunArgs -> [DTyVarBndrVis] -> q [DTyVarBndrSpec]+    go_invis_tvbs subst [] sig_args data_bndrs =+      go_fun_args subst sig_args data_bndrs+    -- This should not happen, per precondition (2).+    go_invis_tvbs _ (_:_) _ [] =+      fail $ "matchUpSigWithDecl.go_invis_tvbs: Too few binders"+    go_invis_tvbs subst (invis_tvb:invis_tvbs) sig_args data_bndrss@(data_bndr:data_bndrs) =+      case extractTvbFlag data_bndr of+        -- If the next data_bndr is required, then we have a invisible forall in+        -- the kind without a corresponding invisible @-binder, which is+        -- allowed. In this case, we simply apply the substitution and recurse.+        BndrReq -> do+          let (subst', invis_tvb') = substTvb subst invis_tvb+          sig_args' <- go_invis_tvbs subst' invis_tvbs sig_args data_bndrss+          pure $ invis_tvb' : sig_args'+        -- If the next data_bndr is an invisible @-binder, then we must match it+        -- against the invisible forall–bound variable in the kind.+        BndrInvis -> do+          let (subst', sig_tvb) = match_tvbs subst invis_tvb data_bndr+          sig_args' <- go_invis_tvbs subst' invis_tvbs sig_args data_bndrs+          pure (sig_tvb : sig_args')++    go_vis_tvbs :: DSubst -> [DTyVarBndrUnit] -> DFunArgs -> [DTyVarBndrVis] -> q [DTyVarBndrSpec]+    go_vis_tvbs subst [] sig_args data_bndrs =+      go_fun_args subst sig_args data_bndrs+    -- This should not happen, per precondition (1).+    go_vis_tvbs _ (_:_) _ [] =+      fail $ "matchUpSigWithDecl.go_vis_tvbs: Too few binders"+    go_vis_tvbs subst (vis_tvb:vis_tvbs) sig_args (data_bndr:data_bndrs) = do+      case extractTvbFlag data_bndr of+        -- If the next data_bndr is required, then we must match it against the+        -- visible forall–bound variable in the kind.+        BndrReq -> do+          let (subst', sig_tvb) = match_tvbs subst vis_tvb data_bndr+          sig_args' <- go_vis_tvbs subst' vis_tvbs sig_args data_bndrs+          pure (sig_tvb : sig_args')+        -- We have a visible forall in the kind, but an invisible @-binder as+        -- the next data_bndr. This is ill kinded, so throw an error.+        BndrInvis ->+          fail $ "matchUpSigWithDecl.go_vis_tvbs: Expected visible binder, encountered invisible binder: "+              ++ show data_bndr++    -- @match_tvbs subst sig_tvb data_bndr@ will match the kind of @data_bndr@+    -- against the kind of @sig_tvb@ to produce a new kind. This function+    -- produces two values as output:+    --+    -- 1. A new @subst@ that has been extended such that the name of @sig_tvb@+    --    maps to the name of @data_bndr@. (See the Haddocks for the 'DSubst'+    --    argument to @go_fun_args@ for an explanation of why we do this.)+    --+    -- 2. A 'DTyVarBndrSpec' that has the name of @data_bndr@, but with the new+    --    kind resulting from matching.+    match_tvbs :: DSubst -> DTyVarBndr flag -> DTyVarBndrVis -> (DSubst, DTyVarBndrSpec)+    match_tvbs subst sig_tvb data_bndr =+      let data_bndr_name = extractTvbName data_bndr+          mb_data_bndr_kind = extractTvbKind data_bndr++          sig_tvb_name = extractTvbName sig_tvb+          mb_sig_tvb_kind = substType subst <$> extractTvbKind sig_tvb++          mb_kind :: Maybe DKind+          mb_kind =+            case (mb_data_bndr_kind, mb_sig_tvb_kind) of+              (Nothing,             Nothing)           -> Nothing+              (Just data_bndr_kind, Nothing)           -> Just data_bndr_kind+              (Nothing,             Just sig_tvb_kind) -> Just sig_tvb_kind+              (Just data_bndr_kind, Just sig_tvb_kind) -> do+                match_subst <- matchTy NoIgnore data_bndr_kind sig_tvb_kind+                Just $ substType match_subst data_bndr_kind++          subst' = Map.insert sig_tvb_name (DVarT data_bndr_name) subst+          sig_tvb' = case mb_kind of+            Nothing   -> DPlainTV  data_bndr_name SpecifiedSpec+            Just kind -> DKindedTV data_bndr_name SpecifiedSpec kind in++      (subst', sig_tvb')++-- This is heavily inspired by the `swizzleTcb` function in GHC:+-- https://gitlab.haskell.org/ghc/ghc/-/blob/cec903899234bf9e25ea404477ba846ac1e963bb/compiler/GHC/Tc/Gen/HsType.hs#L2741-2755+swizzleTvb :: Map Name Name -> DSubst -> DTyVarBndrSpec -> (DSubst, DTyVarBndrSpec)+swizzleTvb swizzle_env subst tvb =+  (subst', tvb2)+  where+    subst' = Map.insert tvb_name (DVarT (extractTvbName tvb2)) subst+    tvb_name = extractTvbName tvb+    tvb1 = mapDTVKind (substType subst) tvb+    tvb2 =+      case Map.lookup tvb_name swizzle_env of+        Just user_name -> mapDTVName (const user_name) tvb1+        Nothing        -> tvb1++{-+Note [singletons-th and record selectors]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+Record selectors are annoying to deal with in singletons-th for various reasons:++1. There is no record syntax at the type level, so promoting code that involves+   records in some way is not straightforward.+2. One can define record selectors for singled data types, but they're rife+   with peril. Some pitfalls include:++   * Singling record updates often produces code that does not typecheck. For+     example, this works:++       let i = Identity True in i { runIdentity = False }++     But this does /not/ work:++       let si = SIdentity STrue in si { sRunIdentity = SFalse }++       error:+           • Record update for insufficiently polymorphic field:+               sRunIdentity :: Sing n+           • In the expression: si {sRunIdentity = SFalse}+             In the expression:+               let si = SIdentity STrue in si {sRunIdentity = SFalse}++     Ugh. See GHC#16501.++   * Singling a data type with multiple constructors that share a record+     selector name will /also/ not typecheck. While this works:++       data X = X1 {y :: Bool} | X2 {y :: Bool}++     This does not:++       data SX :: X -> Type where+         SX1 :: { sY :: Sing n } -> SX ('X1 n)+         SY1 :: { sY :: Sing n } -> SX ('X2 n)++       error:+           • Constructors SX1 and SX2 have a common field ‘sY’,+               but have different result types+           • In the data type declaration for ‘SX’++     Double ugh. See GHC#8673/GHC#12159.++   * Even if a data type only has a single constructor with record selectors,+     singling it can induce headaches. One might be tempted to single this type:++       newtype Unit = MkUnit { runUnit :: () }++     With this code:++       data SUnit :: Unit -> Type where+         SMkUnit :: { sRunUnit :: Sing u } -> SUnit (MkUnit u)++     Somewhat surprisingly, the type of sRunUnit:++       sRunUnit :: Sing (MkUnit u) -> Sing u++     Is not general enough to handle common uses of record selectors. For+     example, if you try to single this function:++       f :: Unit -> ()+       f = runUnit++     Then the resulting code:++       sF :: Sing (x :: Unit) -> Sing (F x :: ())+       sF = sRunUnit++     Will not typecheck. Note that sRunUnit expects an argument of type+     `Sing (MkUnit u)`, but there is no way to know a priori that the `x` in+     `Sing (x :: Unit)` is `MkUnit u` without pattern-matching on SMkUnit.++Hopefully I have convinced you that handling records in singletons-th is a bit of+a nightmare. Thankfully, there is a simple trick to avoid most of the pitfalls+above: just desugar code (using th-desugar) to avoid records!+In more concrete terms, we do the following:++* A record constructions desugars to a normal constructor application. For example:++    MkT{a = x, b = y}++      ==>++    MkT x y++  Something similar occurs for record syntax in patterns.++* A record update desugars to a case expression. For example:++    t{a = x}++      ==>++    case t of MkT _ y => MkT x y++We can't easily desugar away all uses of records, however. After all, records+can be used as ordinary functions as well. We leave such uses of records alone+when desugaring and accommodate them during promotion and singling by generating+"manual" record selectors. As a running example, consider the earlier Unit example:++  newtype Unit = MkUnit { runUnit :: () }++When singling Unit, we do not give SMkUnit a record selector:++  data SUnit :: Unit -> Type where+    SMkUnit :: Sing u -> SUnit (MkUnit u)++Instead, we generate a top-level function that behaves equivalently to runUnit.+This function then gets promoted and singled (in D.S.TH.Promote.promoteDecs and+D.S.TH.Single.singTopLevelDecs):++  type family RunUnit (x :: Unit) :: () where+    RunUnit (MkUnit x) = x++  sRunUnit :: Sing (x :: Unit) -> Sing (RunUnit x :: ())+  sRunUnit (SMkUnit sx) = sx++Now promoting/singling uses of runUnit as an ordinary function work as expected+since the types of RunUnit/sRunUnit are sufficiently general. This technique also+scales up to data types with multiple constructors sharing a record selector name.+For instance, in the earlier X example:++  data X = X1 {y :: Bool} | X2 {y :: Bool}++We would promote/single `y` like so:++  type family Y (x :: X) :: Bool where+    Y (X1 y) = y+    Y (X2 y) = y++  sY :: Sing (x :: X) -> Sing (Y x :: Bool)+  sY (SX1 sy) = sy+  sY (SX2 sy) = sy++Manual record selectors cannot be used in record constructions or updates, but+for most use cases this won't be an issue, since singletons-th makes an effort to+desugar away fancy uses of records anyway. The only time this would bite is if+you wanted to use record syntax in hand-written singletons code.+-}
src/Data/Singletons/TH/Single/Decide.hs view
@@ -1,112 +1,134 @@-{- Data/Singletons/TH/Single/Decide.hs
-
-(c) Richard Eisenberg 2014
-rae@cs.brynmawr.edu
-
-Defines functions to generate SDecide instances, as well as TestEquality and
-TestCoercion instances that leverage SDecide.
--}
-
-module Data.Singletons.TH.Single.Decide where
-
-import Language.Haskell.TH.Syntax
-import Language.Haskell.TH.Desugar
-import Data.Singletons.TH.Deriving.Infer
-import Data.Singletons.TH.Names
-import Data.Singletons.TH.Options
-import Data.Singletons.TH.Promote.Type
-import Data.Singletons.TH.Util
-import Control.Monad
-
--- Make an instance of SDecide.
-mkDecideInstance :: OptionsMonad q => Maybe DCxt -> DType
-                 -> [DCon] -- ^ The /original/ constructors (for inferring the instance context)
-                 -> [DCon] -- ^ The /singletons/ constructors
-                 -> q DDec
-mkDecideInstance mb_ctxt data_ty ctors sctors = do
-  let sctorPairs = [ (sc1, sc2) | sc1 <- sctors, sc2 <- sctors ]
-  methClauses <- if null sctors
-                 then (:[]) <$> mkEmptyDecideMethClause
-                 else mapM mkDecideMethClause sctorPairs
-  constraints <- inferConstraintsDef mb_ctxt (DConT sDecideClassName) data_ty ctors
-  data_ki <- promoteType data_ty
-  return $ DInstanceD Nothing Nothing
-                     constraints
-                     (DAppT (DConT sDecideClassName) data_ki)
-                     [DLetDec $ DFunD sDecideMethName methClauses]
-
-data TestInstance = TestEquality
-                  | TestCoercion
-
--- Make an instance of TestEquality or TestCoercion by leveraging SDecide.
-mkTestInstance :: OptionsMonad q => Maybe DCxt -> DType
-               -> Name   -- ^ The name of the data type
-               -> [DCon] -- ^ The /original/ constructors (for inferring the instance context)
-               -> TestInstance -> q DDec
-mkTestInstance mb_ctxt data_ty data_name ctors ti = do
-  opts <- getOptions
-  constraints <- inferConstraintsDef mb_ctxt (DConT sDecideClassName) data_ty ctors
-  data_ki <- promoteType data_ty
-  pure $ DInstanceD Nothing Nothing
-                    constraints
-                    (DAppT (DConT tiClassName)
-                           (DConT (singledDataTypeName opts data_name)
-                             `DSigT` (DArrowT `DAppT` data_ki `DAppT` DConT typeKindName)))
-                    [DLetDec $ DFunD tiMethName
-                                     [DClause [] (DVarE tiDefaultName)]]
-  where
-    (tiClassName, tiMethName, tiDefaultName) =
-      case ti of
-        TestEquality -> (testEqualityClassName, testEqualityMethName, decideEqualityName)
-        TestCoercion -> (testCoercionClassName, testCoercionMethName, decideCoercionName)
-
-mkDecideMethClause :: Quasi q => (DCon, DCon) -> q DClause
-mkDecideMethClause (c1, c2)
-  | lname == rname =
-    if lNumArgs == 0
-    then return $ DClause [DConP lname [] [], DConP rname [] []]
-                          (DAppE (DConE provedName) (DConE reflName))
-    else do
-      lnames <- replicateM lNumArgs (qNewName "a")
-      rnames <- replicateM lNumArgs (qNewName "b")
-      contra <- qNewName "contra"
-      let lpats = map DVarP lnames
-          rpats = map DVarP rnames
-          lvars = map DVarE lnames
-          rvars = map DVarE rnames
-      refl <- qNewName "refl"
-      return $ DClause
-        [DConP lname [] lpats, DConP rname [] rpats]
-        (DCaseE (mkTupleDExp $
-                 zipWith (\l r -> foldExp (DVarE sDecideMethName) [l, r])
-                         lvars rvars)
-                ((DMatch (mkTupleDPat (replicate lNumArgs
-                                        (DConP provedName [] [DConP reflName [] []])))
-                        (DAppE (DConE provedName) (DConE reflName))) :
-                 [DMatch (mkTupleDPat (replicate i DWildP ++
-                                       DConP disprovedName [] [DVarP contra] :
-                                       replicate (lNumArgs - i - 1) DWildP))
-                         (DAppE (DConE disprovedName)
-                                (DLamE [refl] $
-                                 DCaseE (DVarE refl)
-                                        [DMatch (DConP reflName [] []) $
-                                         (DAppE (DVarE contra)
-                                                (DConE reflName))]))
-                 | i <- [0..lNumArgs-1] ]))
-
-  | otherwise = do
-    x <- qNewName "x"
-    return $ DClause
-      [DConP lname [] (replicate lNumArgs DWildP),
-       DConP rname [] (replicate rNumArgs DWildP)]
-      (DAppE (DConE disprovedName) (DLamE [x] (DCaseE (DVarE x) [])))
-
-  where
-    (lname, lNumArgs) = extractNameArgs c1
-    (rname, rNumArgs) = extractNameArgs c2
-
-mkEmptyDecideMethClause :: Quasi q => q DClause
-mkEmptyDecideMethClause = do
-  x <- qNewName "x"
-  pure $ DClause [DVarP x, DWildP]
-       $ DConE provedName `DAppE` DCaseE (DVarE x) []
+{- Data/Singletons/TH/Single/Decide.hs++(c) Richard Eisenberg 2014+rae@cs.brynmawr.edu++Defines functions to generate SDecide instances, as well as TestEquality and+TestCoercion instances that leverage SDecide.+-}++module Data.Singletons.TH.Single.Decide where++import Language.Haskell.TH.Syntax+import Language.Haskell.TH.Desugar+import Data.Singletons.TH.Deriving.Infer+import Data.Singletons.TH.Names+import Data.Singletons.TH.Options+import Data.Singletons.TH.Promote.Type+import Data.Singletons.TH.Util+import Control.Monad++-- Make an instance of SDecide.+mkDecideInstance :: OptionsMonad q => Maybe DCxt -> DType+                 -> [DCon] -- ^ The /original/ constructors (for inferring the instance context)+                 -> [DCon] -- ^ The /singletons/ constructors+                 -> q DDec+mkDecideInstance mb_ctxt data_ty ctors sctors = do+  let sctorPairs = [ (sc1, sc2) | sc1 <- sctors, sc2 <- sctors ]+  methClauses <- if null sctors+                 then (:[]) <$> mkEmptyDecideMethClause+                 else mapM mkDecideMethClause sctorPairs+  constraints <- inferConstraintsDef mb_ctxt (DConT sDecideClassName) data_ty ctors+  data_ki <- promoteType data_ty+  return $ DInstanceD Nothing Nothing+                     constraints+                     (DAppT (DConT sDecideClassName) data_ki)+                     [DLetDec $ DFunD sDecideMethName methClauses]++-- Make a boilerplate Eq instance for a singleton type, e.g.,+--+-- @+-- instance Eq (SExample (z :: Example a)) where+--   _ == _ = True+-- @+mkEqInstanceForSingleton :: OptionsMonad q+                         => DType+                         -> Name+                         -- ^ The name of the data type+                         -> q DDec+mkEqInstanceForSingleton data_ty data_name = do+  opts <- getOptions+  z <- qNewName "z"+  data_ki <- promoteType data_ty+  let sdata_name = singledDataTypeName opts data_name+  pure $ DInstanceD Nothing Nothing []+           (DAppT (DConT eqName) (DConT sdata_name `DAppT` DSigT (DVarT z) data_ki))+           [DLetDec $+            DFunD equalsName+                  [DClause [DWildP, DWildP] (DConE trueName)]]++data TestInstance = TestEquality+                  | TestCoercion++-- Make an instance of TestEquality or TestCoercion by leveraging SDecide.+mkTestInstance :: OptionsMonad q => Maybe DCxt -> DType+               -> Name   -- ^ The name of the data type+               -> [DCon] -- ^ The /original/ constructors (for inferring the instance context)+               -> TestInstance -> q DDec+mkTestInstance mb_ctxt data_ty data_name ctors ti = do+  opts <- getOptions+  constraints <- inferConstraintsDef mb_ctxt (DConT sDecideClassName) data_ty ctors+  data_ki <- promoteType data_ty+  pure $ DInstanceD Nothing Nothing+                    constraints+                    (DAppT (DConT tiClassName)+                           (DConT (singledDataTypeName opts data_name)+                             `DSigT` (DArrowT `DAppT` data_ki `DAppT` DConT typeKindName)))+                    [DLetDec $ DFunD tiMethName+                                     [DClause [] (DVarE tiDefaultName)]]+  where+    (tiClassName, tiMethName, tiDefaultName) =+      case ti of+        TestEquality -> (testEqualityClassName, testEqualityMethName, decideEqualityName)+        TestCoercion -> (testCoercionClassName, testCoercionMethName, decideCoercionName)++mkDecideMethClause :: Quasi q => (DCon, DCon) -> q DClause+mkDecideMethClause (c1, c2)+  | lname == rname =+    if lNumArgs == 0+    then return $ DClause [DConP lname [] [], DConP rname [] []]+                          (DAppE (DConE provedName) (DConE reflName))+    else do+      lnames <- replicateM lNumArgs (qNewName "a")+      rnames <- replicateM lNumArgs (qNewName "b")+      contra <- qNewName "contra"+      let lpats = map DVarP lnames+          rpats = map DVarP rnames+          lvars = map DVarE lnames+          rvars = map DVarE rnames+      refl <- qNewName "refl"+      return $ DClause+        [DConP lname [] lpats, DConP rname [] rpats]+        (DCaseE (mkTupleDExp $+                 zipWith (\l r -> foldExp (DVarE sDecideMethName) [l, r])+                         lvars rvars)+                ((DMatch (mkTupleDPat (replicate lNumArgs+                                        (DConP provedName [] [DConP reflName [] []])))+                        (DAppE (DConE provedName) (DConE reflName))) :+                 [DMatch (mkTupleDPat (replicate i DWildP +++                                       DConP disprovedName [] [DVarP contra] :+                                       replicate (lNumArgs - i - 1) DWildP))+                         (DAppE (DConE disprovedName)+                                (DLamE [refl] $+                                 DCaseE (DVarE refl)+                                        [DMatch (DConP reflName [] []) $+                                         (DAppE (DVarE contra)+                                                (DConE reflName))]))+                 | i <- [0..lNumArgs-1] ]))++  | otherwise = do+    x <- qNewName "x"+    return $ DClause+      [DConP lname [] (replicate lNumArgs DWildP),+       DConP rname [] (replicate rNumArgs DWildP)]+      (DAppE (DConE disprovedName) (DLamE [x] (DCaseE (DVarE x) [])))++  where+    (lname, lNumArgs) = extractNameArgs c1+    (rname, rNumArgs) = extractNameArgs c2++mkEmptyDecideMethClause :: Quasi q => q DClause+mkEmptyDecideMethClause = do+  x <- qNewName "x"+  pure $ DClause [DVarP x, DWildP]+       $ DConE provedName `DAppE` DCaseE (DVarE x) []
src/Data/Singletons/TH/Single/Defun.hs view
@@ -1,238 +1,238 @@------------------------------------------------------------------------------
--- |
--- Module      :  Data.Singletons.TH.Single.Defun
--- Copyright   :  (C) 2018 Ryan Scott
--- License     :  BSD-style (see LICENSE)
--- Maintainer  :  Ryan Scott
--- Stability   :  experimental
--- Portability :  non-portable
---
--- Creates 'SingI' instances for promoted types' defunctionalization symbols.
---
------------------------------------------------------------------------------
-
-module Data.Singletons.TH.Single.Defun (singDefuns) where
-
-import Control.Monad
-import Data.Foldable
-import Data.Singletons.TH.Names
-import Data.Singletons.TH.Options
-import Data.Singletons.TH.Promote.Defun
-import Data.Singletons.TH.Single.Monad
-import Data.Singletons.TH.Single.Type
-import Data.Singletons.TH.Util
-import Language.Haskell.TH.Desugar
-import Language.Haskell.TH.Syntax
-
--- Given the Name of something, take the defunctionalization symbols for its
--- promoted counterpart and create SingI{,1,2} instances for them. As a concrete
--- example, if you have:
---
---   foo :: Eq a => a -> a -> Bool
---
--- Then foo's promoted counterpart, Foo, will have two defunctionalization
--- symbols:
---
---   FooSym0 :: a ~> a ~> Bool
---   FooSym1 :: a -> a ~> Bool
---
--- We can declare SingI and SingI1 instances for these two symbols like so:
---
---   instance SEq a => SingI (FooSym0 :: a ~> a ~> Bool) where
---     sing = singFun2 sFoo
---
---   instance (SEq a, SingI x) => SingI (FooSym1 x :: a ~> Bool) where
---     sing = singFun1 (sFoo (sing @_ @x))
---
---   instance SEq a => SingI1 (FooSym1 :: a -> a ~> Bool) where
---     liftSing s = singFun1 (sFoo s)
---
--- Only FooSym1 will have a SingI1 instance, as unlike FooSym0, it is able to
--- be partially applied (using normal function application) to a single
--- argument. Neither FooSym0 nor FooSym1 can be partially applied to two
--- arguments, so neither will receive a SingI2 instance.
---
--- Note that singDefuns takes Maybe DKinds for the promoted argument and result
--- types, in case we have an entity whose type needs to be inferred.
--- See Note [singDefuns and type inference].
-singDefuns :: Name      -- The Name of the thing to promote.
-           -> NameSpace -- Whether the above Name is a value, data constructor,
-                        -- or a type constructor.
-           -> DCxt      -- The type's context.
-           -> [Maybe DKind] -- The promoted argument types (if known).
-           -> Maybe DKind   -- The promoted result type (if known).
-           -> SgM [DDec]
-singDefuns n ns ty_ctxt mb_ty_args mb_ty_res =
-  case mb_ty_args of
-    [] -> pure [] -- If a function has no arguments, then it has no
-                  -- defunctionalization symbols, so there's nothing to be done.
-    _  -> do opts     <- getOptions
-             sty_ctxt <- mapM singPred ty_ctxt
-             names    <- replicateM (length mb_ty_args) $ qNewName "d"
-             let tvbs = zipWith inferMaybeKindTV names mb_ty_args
-             (_, insts) <- go opts 0 sty_ctxt [] tvbs
-             pure insts
-  where
-    num_ty_args :: Int
-    num_ty_args = length mb_ty_args
-
-    -- The inner loop. @go n ctxt arg_tvbs res_tvbs@ returns @(m_result, insts)@.
-    -- Using one particular example:
-    --
-    -- @
-    -- instance (SingI a, SingI b, SEq c, SEq d) =>
-    --   SingI (ExampleSym2 (x :: a) (y :: b) :: c ~> d ~> Type) where ...
-    -- @
-    --
-    -- We have:
-    --
-    -- * @n@ is 2. This is incremented in each iteration of `go`.
-    --
-    -- * @ctxt@ is (SEq c, SEq d). The (SingI a, SingI b) part of the instance
-    --   context is added separately.
-    --
-    -- * @arg_tvbs@ is [(x :: a), (y :: b)].
-    --
-    -- * @res_tvbs@ is [(z :: c), (w :: d)]. The kinds of these type variable
-    --   binders appear in the result kind.
-    --
-    -- * @m_result@ is `Just (c ~> d ~> Type)`. @m_result@ is returned so
-    --   that earlier defunctionalization symbols can build on the result
-    --   kinds of later symbols. For instance, ExampleSym1 would get the
-    --   result kind `b ~> c ~> d ~> Type` by prepending `b` to ExampleSym2's
-    --   result kind `c ~> d ~> Type`.
-    --
-    -- * @insts@ are all of the instance declarations corresponding to
-    --   ExampleSym2 and later defunctionalization symbols. This is the main
-    --   payload of the function.
-    --
-    -- This function is quadratic because it appends a variable at the end of
-    -- the @arg_tvbs@ list at each iteration. In practice, this is unlikely
-    -- to be a performance bottleneck since the number of arguments rarely
-    -- gets to be that large.
-    go :: Options -> Int -> DCxt -> [DTyVarBndrUnit] -> [DTyVarBndrUnit]
-       -> SgM (Maybe DKind, [DDec])
-    go _    _       _        _        []                 = pure (mb_ty_res, [])
-    go opts sym_num sty_ctxt arg_tvbs (res_tvb:res_tvbs) = do
-      (mb_res, insts) <- go opts (sym_num + 1) sty_ctxt (arg_tvbs ++ [res_tvb]) res_tvbs
-      new_insts <- mapMaybeM (mb_new_inst mb_res) [0, 1, 2]
-      pure (mk_inst_kind [] res_tvb mb_res, new_insts ++ insts)
-      where
-        sing_fun_num :: Int
-        sing_fun_num = num_ty_args - sym_num
-
-        -- Construct the arrow kind used to annotate the defunctionalization
-        -- symbol. For example, this constructs the `a -> b -> c ~> Bool` in
-        -- `SingI1 (FooSym1 :: a -> b -> c ~> Bool)`, where:
-        --
-        -- * The first argument to `mk_inst_kind` gives the kinds [a, b], which
-        --   are used with normal function arrows.
-        -- * The second argumen to `mk_inst_kind` gives the kind `c`, which is
-        --   used with a defunctionalized function arrow.
-        --
-        -- If any of the argument kinds or result kind isn't known (i.e., is
-        -- Nothing), then we opt not to construct this arrow kind altogether.
-        -- See Note [singDefuns and type inference]
-        mk_inst_kind :: [DTyVarBndrUnit] -> DTyVarBndrUnit -> Maybe DKind -> Maybe DKind
-        mk_inst_kind funTvbs defunTvb mbKind =
-          foldr buildFunArrow_maybe
-                (buildTyFunArrow_maybe (extractTvbKind defunTvb) mbKind)
-                (map extractTvbKind funTvbs)
-
-        -- @mb_new_inst mb_res k@ returns 'Just' an instance of @SingI<k>@ if
-        -- @k@ is less than or equal to the number of arguments to which the
-        -- defunctionalization symbol can be partially applied using normal
-        -- function application. Otherwise, it returns 'Nothing'.
-        mb_new_inst :: Maybe DKind -> Int -> SgM (Maybe DDec)
-        mb_new_inst mb_res k
-          | k <= sym_num
-          = do vs <- replicateM k $ qNewName "s"
-               let sing_vs = zipWith (\v arg_tvb ->
-                                       DSigP (DVarP v)
-                                             (singFamily `DAppT` dTyVarBndrToDType arg_tvb))
-                                     vs last_arg_tvbs
-               pure $ Just $
-                 DInstanceD Nothing Nothing
-                   (sty_ctxt ++ singI_ctxt)
-                   (DConT (mkSingIName k) `DAppT` mk_inst_ty (mk_defun_inst_ty init_arg_tvbs))
-                   [ DLetDec $ DFunD (mkSingMethName k)
-                      [ DClause sing_vs
-                         $ wrapSingFun sing_fun_num (mk_defun_inst_ty arg_tvbs)
-                         $ mk_sing_fun_expr sing_exp vs
-                      ]
-                   ]
-          | otherwise
-          = pure Nothing
-          where
-            init_arg_tvbs, last_arg_tvbs :: [DTyVarBndrUnit]
-            (init_arg_tvbs, last_arg_tvbs) = splitAt (sym_num - k) arg_tvbs
-
-            mk_defun_inst_ty :: [DTyVarBndrUnit] -> DType
-            mk_defun_inst_ty tvbs =
-              foldType (DConT (defunctionalizedName opts n sym_num))
-                       (map dTyVarBndrToDType tvbs)
-
-            sing_exp :: DExp
-            sing_exp = case ns of
-                         DataName -> DConE $ singledDataConName opts n
-                         _        -> DVarE $ singledValueName opts n
-
-            mk_sing_fun_expr :: DExp -> [Name] -> DExp
-            mk_sing_fun_expr sing_expr vs =
-              foldl' DAppE sing_expr
-                     (map (\arg_tvb -> DVarE singMethName `DAppTypeE`
-                                       DVarT (extractTvbName arg_tvb))
-                          init_arg_tvbs ++
-                      map DVarE vs)
-
-            singI_ctxt :: DCxt
-            singI_ctxt = map (DAppT (DConT singIName) . tvbToType) init_arg_tvbs
-
-            mk_inst_ty :: DType -> DType
-            mk_inst_ty inst_head
-              = case mk_inst_kind last_arg_tvbs res_tvb mb_res of
-                  Just inst_kind -> inst_head `DSigT` inst_kind
-                  Nothing        -> inst_head
-
--- Shorthand for building (k1 -> k2)
-buildFunArrow :: DKind -> DKind -> DKind
-buildFunArrow k1 k2 = DArrowT `DAppT` k1 `DAppT` k2
-
-buildFunArrow_maybe :: Maybe DKind -> Maybe DKind -> Maybe DKind
-buildFunArrow_maybe m_k1 m_k2 = buildFunArrow <$> m_k1 <*> m_k2
-
-{-
-Note [singDefuns and type inference]
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-Consider the following function:
-
-  foo :: a -> Bool
-  foo _ = True
-
-singDefuns would give the following SingI instance for FooSym0, with an
-explicit kind signature:
-
-  instance SingI (FooSym0 :: a ~> Bool) where ...
-
-What happens if we leave off the type signature for foo?
-
-  foo _ = True
-
-Can singDefuns still do its job? Yes! It will simply generate:
-
-  instance SingI FooSym0 where ...
-
-In general, if any of the promoted argument or result types given to singDefun
-are Nothing, then we avoid crafting an explicit kind signature. You might worry
-that this could lead to SingI instances being generated that GHC cannot infer
-the type for, such as:
-
-  bar x = x == x
-  ==>
-  instance SingI BarSym0 -- Missing an SEq constraint?
-
-This is true, but also not unprecedented, as the singled version of bar, sBar,
-will /also/ fail to typecheck due to a missing SEq constraint. Therefore, this
-design choice fits within the existing tradition of type inference in
-singletons-th.
--}
+-----------------------------------------------------------------------------+-- |+-- Module      :  Data.Singletons.TH.Single.Defun+-- Copyright   :  (C) 2018 Ryan Scott+-- License     :  BSD-style (see LICENSE)+-- Maintainer  :  Ryan Scott+-- Stability   :  experimental+-- Portability :  non-portable+--+-- Creates 'SingI' instances for promoted types' defunctionalization symbols.+--+-----------------------------------------------------------------------------++module Data.Singletons.TH.Single.Defun (singDefuns) where++import Control.Monad+import Data.Foldable+import Data.Singletons.TH.Names+import Data.Singletons.TH.Options+import Data.Singletons.TH.Promote.Defun+import Data.Singletons.TH.Single.Monad+import Data.Singletons.TH.Single.Type+import Data.Singletons.TH.Util+import Language.Haskell.TH.Desugar+import Language.Haskell.TH.Syntax++-- Given the Name of something, take the defunctionalization symbols for its+-- promoted counterpart and create SingI{,1,2} instances for them. As a concrete+-- example, if you have:+--+--   foo :: Eq a => a -> a -> Bool+--+-- Then foo's promoted counterpart, Foo, will have two defunctionalization+-- symbols:+--+--   FooSym0 :: a ~> a ~> Bool+--   FooSym1 :: a -> a ~> Bool+--+-- We can declare SingI and SingI1 instances for these two symbols like so:+--+--   instance SEq a => SingI (FooSym0 :: a ~> a ~> Bool) where+--     sing = singFun2 sFoo+--+--   instance (SEq a, SingI x) => SingI (FooSym1 x :: a ~> Bool) where+--     sing = singFun1 (sFoo (sing @_ @x))+--+--   instance SEq a => SingI1 (FooSym1 :: a -> a ~> Bool) where+--     liftSing s = singFun1 (sFoo s)+--+-- Only FooSym1 will have a SingI1 instance, as unlike FooSym0, it is able to+-- be partially applied (using normal function application) to a single+-- argument. Neither FooSym0 nor FooSym1 can be partially applied to two+-- arguments, so neither will receive a SingI2 instance.+--+-- Note that singDefuns takes Maybe DKinds for the promoted argument and result+-- types, in case we have an entity whose type needs to be inferred.+-- See Note [singDefuns and type inference].+singDefuns :: Name      -- The Name of the thing to promote.+           -> NameSpace -- Whether the above Name is a value, data constructor,+                        -- or a type constructor.+           -> DCxt      -- The type's context.+           -> [Maybe DKind] -- The promoted argument types (if known).+           -> Maybe DKind   -- The promoted result type (if known).+           -> SgM [DDec]+singDefuns n ns ty_ctxt mb_ty_args mb_ty_res =+  case mb_ty_args of+    [] -> pure [] -- If a function has no arguments, then it has no+                  -- defunctionalization symbols, so there's nothing to be done.+    _  -> do opts     <- getOptions+             sty_ctxt <- mapM singPred ty_ctxt+             names    <- replicateM (length mb_ty_args) $ qNewName "d"+             let tvbs = zipWith inferMaybeKindTV names mb_ty_args+             (_, insts) <- go opts 0 sty_ctxt [] tvbs+             pure insts+  where+    num_ty_args :: Int+    num_ty_args = length mb_ty_args++    -- The inner loop. @go n ctxt arg_tvbs res_tvbs@ returns @(m_result, insts)@.+    -- Using one particular example:+    --+    -- @+    -- instance (SingI a, SingI b, SEq c, SEq d) =>+    --   SingI (ExampleSym2 (x :: a) (y :: b) :: c ~> d ~> Type) where ...+    -- @+    --+    -- We have:+    --+    -- * @n@ is 2. This is incremented in each iteration of `go`.+    --+    -- * @ctxt@ is (SEq c, SEq d). The (SingI a, SingI b) part of the instance+    --   context is added separately.+    --+    -- * @arg_tvbs@ is [(x :: a), (y :: b)].+    --+    -- * @res_tvbs@ is [(z :: c), (w :: d)]. The kinds of these type variable+    --   binders appear in the result kind.+    --+    -- * @m_result@ is `Just (c ~> d ~> Type)`. @m_result@ is returned so+    --   that earlier defunctionalization symbols can build on the result+    --   kinds of later symbols. For instance, ExampleSym1 would get the+    --   result kind `b ~> c ~> d ~> Type` by prepending `b` to ExampleSym2's+    --   result kind `c ~> d ~> Type`.+    --+    -- * @insts@ are all of the instance declarations corresponding to+    --   ExampleSym2 and later defunctionalization symbols. This is the main+    --   payload of the function.+    --+    -- This function is quadratic because it appends a variable at the end of+    -- the @arg_tvbs@ list at each iteration. In practice, this is unlikely+    -- to be a performance bottleneck since the number of arguments rarely+    -- gets to be that large.+    go :: Options -> Int -> DCxt -> [DTyVarBndrUnit] -> [DTyVarBndrUnit]+       -> SgM (Maybe DKind, [DDec])+    go _    _       _        _        []                 = pure (mb_ty_res, [])+    go opts sym_num sty_ctxt arg_tvbs (res_tvb:res_tvbs) = do+      (mb_res, insts) <- go opts (sym_num + 1) sty_ctxt (arg_tvbs ++ [res_tvb]) res_tvbs+      new_insts <- mapMaybeM (mb_new_inst mb_res) [0, 1, 2]+      pure (mk_inst_kind [] res_tvb mb_res, new_insts ++ insts)+      where+        sing_fun_num :: Int+        sing_fun_num = num_ty_args - sym_num++        -- Construct the arrow kind used to annotate the defunctionalization+        -- symbol. For example, this constructs the `a -> b -> c ~> Bool` in+        -- `SingI1 (FooSym1 :: a -> b -> c ~> Bool)`, where:+        --+        -- * The first argument to `mk_inst_kind` gives the kinds [a, b], which+        --   are used with normal function arrows.+        -- * The second argumen to `mk_inst_kind` gives the kind `c`, which is+        --   used with a defunctionalized function arrow.+        --+        -- If any of the argument kinds or result kind isn't known (i.e., is+        -- Nothing), then we opt not to construct this arrow kind altogether.+        -- See Note [singDefuns and type inference]+        mk_inst_kind :: [DTyVarBndrUnit] -> DTyVarBndrUnit -> Maybe DKind -> Maybe DKind+        mk_inst_kind funTvbs defunTvb mbKind =+          foldr buildFunArrow_maybe+                (buildTyFunArrow_maybe (extractTvbKind defunTvb) mbKind)+                (map extractTvbKind funTvbs)++        -- @mb_new_inst mb_res k@ returns 'Just' an instance of @SingI<k>@ if+        -- @k@ is less than or equal to the number of arguments to which the+        -- defunctionalization symbol can be partially applied using normal+        -- function application. Otherwise, it returns 'Nothing'.+        mb_new_inst :: Maybe DKind -> Int -> SgM (Maybe DDec)+        mb_new_inst mb_res k+          | k <= sym_num+          = do vs <- replicateM k $ qNewName "s"+               let sing_vs = zipWith (\v arg_tvb ->+                                       DSigP (DVarP v)+                                             (singFamily `DAppT` dTyVarBndrToDType arg_tvb))+                                     vs last_arg_tvbs+               pure $ Just $+                 DInstanceD Nothing Nothing+                   (sty_ctxt ++ singI_ctxt)+                   (DConT (mkSingIName k) `DAppT` mk_inst_ty (mk_defun_inst_ty init_arg_tvbs))+                   [ DLetDec $ DFunD (mkSingMethName k)+                      [ DClause sing_vs+                         $ wrapSingFun sing_fun_num (mk_defun_inst_ty arg_tvbs)+                         $ mk_sing_fun_expr sing_exp vs+                      ]+                   ]+          | otherwise+          = pure Nothing+          where+            init_arg_tvbs, last_arg_tvbs :: [DTyVarBndrUnit]+            (init_arg_tvbs, last_arg_tvbs) = splitAt (sym_num - k) arg_tvbs++            mk_defun_inst_ty :: [DTyVarBndrUnit] -> DType+            mk_defun_inst_ty tvbs =+              foldType (DConT (defunctionalizedName opts n sym_num))+                       (map dTyVarBndrToDType tvbs)++            sing_exp :: DExp+            sing_exp = case ns of+                         DataName -> DConE $ singledDataConName opts n+                         _        -> DVarE $ singledValueName opts n++            mk_sing_fun_expr :: DExp -> [Name] -> DExp+            mk_sing_fun_expr sing_expr vs =+              foldl' DAppE sing_expr+                     (map (\arg_tvb -> DVarE singMethName `DAppTypeE`+                                       DVarT (extractTvbName arg_tvb))+                          init_arg_tvbs +++                      map DVarE vs)++            singI_ctxt :: DCxt+            singI_ctxt = map (DAppT (DConT singIName) . tvbToType) init_arg_tvbs++            mk_inst_ty :: DType -> DType+            mk_inst_ty inst_head+              = case mk_inst_kind last_arg_tvbs res_tvb mb_res of+                  Just inst_kind -> inst_head `DSigT` inst_kind+                  Nothing        -> inst_head++-- Shorthand for building (k1 -> k2)+buildFunArrow :: DKind -> DKind -> DKind+buildFunArrow k1 k2 = DArrowT `DAppT` k1 `DAppT` k2++buildFunArrow_maybe :: Maybe DKind -> Maybe DKind -> Maybe DKind+buildFunArrow_maybe m_k1 m_k2 = buildFunArrow <$> m_k1 <*> m_k2++{-+Note [singDefuns and type inference]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+Consider the following function:++  foo :: a -> Bool+  foo _ = True++singDefuns would give the following SingI instance for FooSym0, with an+explicit kind signature:++  instance SingI (FooSym0 :: a ~> Bool) where ...++What happens if we leave off the type signature for foo?++  foo _ = True++Can singDefuns still do its job? Yes! It will simply generate:++  instance SingI FooSym0 where ...++In general, if any of the promoted argument or result types given to singDefun+are Nothing, then we avoid crafting an explicit kind signature. You might worry+that this could lead to SingI instances being generated that GHC cannot infer+the type for, such as:++  bar x = x == x+  ==>+  instance SingI BarSym0 -- Missing an SEq constraint?++This is true, but also not unprecedented, as the singled version of bar, sBar,+will /also/ fail to typecheck due to a missing SEq constraint. Therefore, this+design choice fits within the existing tradition of type inference in+singletons-th.+-}
src/Data/Singletons/TH/Single/Fixity.hs view
@@ -1,170 +1,178 @@-module Data.Singletons.TH.Single.Fixity where
-
-import Prelude hiding ( exp )
-import Language.Haskell.TH hiding ( cxt )
-import Language.Haskell.TH.Syntax (NameSpace(..), Quasi(..))
-import Data.Singletons.TH.Options
-import Data.Singletons.TH.Util
-import Language.Haskell.TH.Desugar
-
--- Single a fixity declaration.
-singInfixDecl :: forall q. OptionsMonad q => Name -> Fixity -> q (Maybe DLetDec)
-singInfixDecl name fixity = do
-  opts  <- getOptions
-  mb_ns <- reifyNameSpace name
-  case mb_ns of
-    -- If we can't find the Name for some odd reason,
-    -- fall back to singValName
-    Nothing        -> finish $ singledValueName   opts name
-    Just VarName   -> finish $ singledValueName   opts name
-    Just DataName  -> finish $ singledDataConName opts name
-    Just TcClsName -> do
-      mb_info <- dsReify name
-      case mb_info of
-        Just (DTyConI DClassD{} _)
-          -> finish $ singledClassName opts name
-        _ -> pure Nothing
-          -- Don't produce anything for other type constructors (type synonyms,
-          -- type families, data types, etc.).
-          -- See [singletons-th and fixity declarations], wrinkle 1.
-  where
-    finish :: Name -> q (Maybe DLetDec)
-    finish = pure . Just . DInfixD fixity
-
--- Try producing singled fixity declarations for Names by reifying them
--- /without/ consulting quoted declarations. If reification fails, recover and
--- return the empty list.
--- See [singletons-th and fixity declarations], wrinkle 2.
-singReifiedInfixDecls :: forall q. OptionsMonad q => [Name] -> q [DDec]
-singReifiedInfixDecls = mapMaybeM trySingFixityDeclaration
-  where
-    trySingFixityDeclaration :: Name -> q (Maybe DDec)
-    trySingFixityDeclaration name =
-      qRecover (return Nothing) $ do
-        mFixity <- qReifyFixity name
-        case mFixity of
-          Nothing     -> pure Nothing
-          Just fixity -> fmap (fmap DLetDec) $ singInfixDecl name fixity
-
-{-
-Note [singletons-th and fixity declarations]
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-Promoting and singling fixity declarations is surprisingly tricky to get right.
-This Note serves as a place to document the insights learned after getting this
-wrong at various points.
-
-As a general rule, when promoting something with a fixity declaration like this
-one:
-
-  infixl 5 `foo`
-
-singletons-th will produce promoted and singled versions of them:
-
-  infixl 5 `Foo`
-  infixl 5 `sFoo`
-
-singletons-th will also produce fixity declarations for its defunctionalization
-symbols (see Note [Fixity declarations for defunctionalization symbols] in
-D.S.TH.Promote.Defun):
-
-  infixl 5 `FooSym0`
-  infixl 5 `FooSym1`
-  ...
-
------
--- Wrinkle 1: When not to promote/single fixity declarations
------
-
-Rules are meant to be broken, and the general rule above is no exception. There
-are certain cases where singletons-th does *not* produce promoted or singled
-versions of fixity declarations:
-
-* During promotion, fixity declarations for the following sorts of names will
-  not receive promoted counterparts:
-
-  - Data types
-  - Type synonyms
-  - Type families
-  - Data constructors
-  - Infix values
-
-  We exclude the first four because the promoted versions of these names are
-  the same as the originals, so generating an extra fixity declaration for them
-  would run the risk of having duplicates, which GHC would reject with an error.
-
-  We exclude infix value because while their promoted versions are different,
-  they share the same name base. In concrete terms, this:
-
-    $(promote [d|
-      infixl 4 ###
-      (###) :: a -> a -> a
-      |])
-
-  Is promoted to the following:
-
-    type family (###) (x :: a) (y :: a) :: a where ...
-
-  So giving the type-level (###) a fixity declaration would clash with the
-  existing one for the value-level (###).
-
-  There *is* a scenario where we should generate a fixity declaration for the
-  type-level (###), however. Imagine the above example used the `promoteOnly`
-  function instead of `promote`. Then the type-level (###) would lack a fixity
-  declaration altogether because the original fixity declaration was discarded
-  by `promoteOnly`! The same problem would arise if one had to choose between
-  the `singletons` and `singletonsOnly` functions.
-
-  The difference between `promote` and `promoteOnly` (as well as `singletons`
-  and `singletonsOnly`) is whether the `genQuotedDecs` option is set to `True`
-  or `False`, respectively. Therefore, if `genQuotedDecs` is set to `False`
-  when promoting the fixity declaration for an infix value, we opt to generate
-  a fixity declaration (with the same name base) so that the type-level version
-  of that value gets one.
-
-* During singling, the following things will not have their fixity declarations
-  singled:
-
-  - Type synonyms or type families. This is because singletons-th does not
-    generate singled versions of them in the first place (they only receive
-    defunctionalization symbols).
-
-  - Data types. This is because the singled version of a data type T is
-    always of the form:
-
-      data ST :: forall a_1 ... a_n. T a_1 ... a_n -> Type where ...
-
-    Regardless of how many arguments T has, ST will have exactly one argument.
-    This makes is rather pointless to generate a fixity declaration for it.
-
------
--- Wrinkle 2: Making sure fixity declarations are promoted/singled properly
------
-
-There are two situations where singletons-th must promote/single fixity
-declarations:
-
-1. When quoting code, i.e., with `promote` or `singletons`.
-2. When reifying code, i.e., with `genPromotions` or `genSingletons`.
-
-In the case of (1), singletons-th stores the quoted fixity declarations in the
-lde_infix field of LetDecEnv. Therefore, it suffices to call
-promoteInfixDecl/singleInfixDecl when processing LetDecEnvs.
-
-In the case of (2), there is no LetDecEnv to use, so we must instead reify
-the fixity declarations and promote/single those. See D.S.TH.Single.Data.singDataD
-(which singles data constructors) for a place that does this—we will use
-singDataD as a running example for the rest of this section.
-
-One complication is that code paths like singDataD are invoked in both (1) and
-(2). This runs the risk that singletons-th will generate duplicate infix
-declarations for data constructors in situation (1), as it will try to single
-their fixity declarations once when processing them in LetDecEnvs and again
-when reifying them in singDataD.
-
-To avoid this pitfall, when reifying declarations in singDataD we take care
-*not* to consult any quoted declarations when reifying (i.e., we do not use
-reifyWithLocals for functions like it). Therefore, it we are in situation (1),
-then the reification in singDataD will fail (and recover gracefully), so it
-will not produce any singled fixity declarations. Therefore, the only singled
-fixity declarations will be produced by processing LetDecEnvs.
--}
+module Data.Singletons.TH.Single.Fixity where++import Prelude hiding ( exp )+import Language.Haskell.TH hiding ( cxt )+import Language.Haskell.TH.Syntax (NameSpace(..), Quasi(..))+import Data.Singletons.TH.Options+import Data.Singletons.TH.Util+import Language.Haskell.TH.Desugar+import qualified GHC.LanguageExtensions.Type as LangExt++-- Single a fixity declaration.+singInfixDecl :: forall q. OptionsMonad q => Name -> Fixity -> q (Maybe DLetDec)+singInfixDecl name fixity = do+  opts <- getOptions+  fld_sels <- qIsExtEnabled LangExt.FieldSelectors+  mb_ns <- reifyNameSpace name+  case mb_ns of+    -- If we can't find the Name for some odd reason,+    -- fall back to singValName+    Nothing          -> finish $ singledValueName   opts name+    Just VarName     -> finish $ singledValueName   opts name+    Just (FldName _)+      | fld_sels     -> finish $ singledValueName   opts name+      | otherwise    -> never_mind+    Just DataName    -> finish $ singledDataConName opts name+    Just TcClsName   -> do+      mb_info <- dsReify name+      case mb_info of+        Just (DTyConI DClassD{} _)+          -> finish $ singledClassName opts name+        _ -> never_mind+          -- Don't produce anything for other type constructors (type synonyms,+          -- type families, data types, etc.).+          -- See [singletons-th and fixity declarations], wrinkle 1.+  where+    finish :: Name -> q (Maybe DLetDec)+    finish = pure . Just . DInfixD fixity++    never_mind :: q (Maybe DLetDec)+    never_mind = pure Nothing++-- Try producing singled fixity declarations for Names by reifying them+-- /without/ consulting quoted declarations. If reification fails, recover and+-- return the empty list.+-- See [singletons-th and fixity declarations], wrinkle 2.+singReifiedInfixDecls :: forall q. OptionsMonad q => [Name] -> q [DDec]+singReifiedInfixDecls = mapMaybeM trySingFixityDeclaration+  where+    trySingFixityDeclaration :: Name -> q (Maybe DDec)+    trySingFixityDeclaration name =+      qRecover (return Nothing) $ do+        mFixity <- qReifyFixity name+        case mFixity of+          Nothing     -> pure Nothing+          Just fixity -> fmap (fmap DLetDec) $ singInfixDecl name fixity++{-+Note [singletons-th and fixity declarations]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+Promoting and singling fixity declarations is surprisingly tricky to get right.+This Note serves as a place to document the insights learned after getting this+wrong at various points.++As a general rule, when promoting something with a fixity declaration like this+one:++  infixl 5 `foo`++singletons-th will produce promoted and singled versions of them:++  infixl 5 `Foo`+  infixl 5 `sFoo`++singletons-th will also produce fixity declarations for its defunctionalization+symbols (see Note [Fixity declarations for defunctionalization symbols] in+D.S.TH.Promote.Defun):++  infixl 5 `FooSym0`+  infixl 5 `FooSym1`+  ...++-----+-- Wrinkle 1: When not to promote/single fixity declarations+-----++Rules are meant to be broken, and the general rule above is no exception. There+are certain cases where singletons-th does *not* produce promoted or singled+versions of fixity declarations:++* During promotion, fixity declarations for the following sorts of names will+  not receive promoted counterparts:++  - Data types+  - Type synonyms+  - Type families+  - Data constructors+  - Infix values++  We exclude the first four because the promoted versions of these names are+  the same as the originals, so generating an extra fixity declaration for them+  would run the risk of having duplicates, which GHC would reject with an error.++  We exclude infix value because while their promoted versions are different,+  they share the same name base. In concrete terms, this:++    $(promote [d|+      infixl 4 ###+      (###) :: a -> a -> a+      |])++  Is promoted to the following:++    type family (###) (x :: a) (y :: a) :: a where ...++  So giving the type-level (###) a fixity declaration would clash with the+  existing one for the value-level (###).++  There *is* a scenario where we should generate a fixity declaration for the+  type-level (###), however. Imagine the above example used the `promoteOnly`+  function instead of `promote`. Then the type-level (###) would lack a fixity+  declaration altogether because the original fixity declaration was discarded+  by `promoteOnly`! The same problem would arise if one had to choose between+  the `singletons` and `singletonsOnly` functions.++  The difference between `promote` and `promoteOnly` (as well as `singletons`+  and `singletonsOnly`) is whether the `genQuotedDecs` option is set to `True`+  or `False`, respectively. Therefore, if `genQuotedDecs` is set to `False`+  when promoting the fixity declaration for an infix value, we opt to generate+  a fixity declaration (with the same name base) so that the type-level version+  of that value gets one.++* During singling, the following things will not have their fixity declarations+  singled:++  - Type synonyms or type families. This is because singletons-th does not+    generate singled versions of them in the first place (they only receive+    defunctionalization symbols).++  - Data types. This is because the singled version of a data type T is+    always of the form:++      data ST :: forall a_1 ... a_n. T a_1 ... a_n -> Type where ...++    Regardless of how many arguments T has, ST will have exactly one argument.+    This makes is rather pointless to generate a fixity declaration for it.++-----+-- Wrinkle 2: Making sure fixity declarations are promoted/singled properly+-----++There are two situations where singletons-th must promote/single fixity+declarations:++1. When quoting code, i.e., with `promote` or `singletons`.+2. When reifying code, i.e., with `genPromotions` or `genSingletons`.++In the case of (1), singletons-th stores the quoted fixity declarations in the+lde_infix field of LetDecEnv. Therefore, it suffices to call+promoteInfixDecl/singleInfixDecl when processing LetDecEnvs.++In the case of (2), there is no LetDecEnv to use, so we must instead reify+the fixity declarations and promote/single those. See D.S.TH.Single.Data.singDataD+(which singles data constructors) for a place that does this—we will use+singDataD as a running example for the rest of this section.++One complication is that code paths like singDataD are invoked in both (1) and+(2). This runs the risk that singletons-th will generate duplicate infix+declarations for data constructors in situation (1), as it will try to single+their fixity declarations once when processing them in LetDecEnvs and again+when reifying them in singDataD.++To avoid this pitfall, when reifying declarations in singDataD we take care+*not* to consult any quoted declarations when reifying (i.e., we do not use+reifyWithLocals for functions like it). Therefore, it we are in situation (1),+then the reification in singDataD will fail (and recover gracefully), so it+will not produce any singled fixity declarations. Therefore, the only singled+fixity declarations will be produced by processing LetDecEnvs.+-}
src/Data/Singletons/TH/Single/Monad.hs view
@@ -1,182 +1,205 @@-{-# LANGUAGE TemplateHaskellQuotes #-}
-
-{- Data/Singletons/TH/Single/Monad.hs
-
-(c) Richard Eisenberg 2014
-rae@cs.brynmawr.edu
-
-This file defines the SgM monad and its operations, for use during singling.
-
-The SgM monad allows reading from a SgEnv environment and is wrapped around a Q.
--}
-
-module Data.Singletons.TH.Single.Monad (
-  SgM, bindLets, bindContext, askContext, lookupVarE, lookupConE,
-  wrapSingFun,
-  singM, singDecsM,
-  emitDecs, emitDecsM
-  ) where
-
-import Prelude hiding ( exp )
-import Data.Map ( Map )
-import qualified Data.Map as Map
-import Data.Singletons
-import Data.Singletons.TH.Options
-import Data.Singletons.TH.Promote.Monad ( emitDecs, emitDecsM )
-import Data.Singletons.TH.Util
-import Language.Haskell.TH.Syntax hiding ( lift )
-import Language.Haskell.TH.Desugar
-import Control.Monad ( liftM2 )
-import Control.Monad.IO.Class ( MonadIO )
-import Control.Monad.Reader ( MonadReader(..), ReaderT(..), asks )
-import Control.Monad.Writer ( MonadWriter, WriterT(..) )
-import Control.Applicative
-
--- environment during singling
-data SgEnv =
-  SgEnv { sg_options     :: Options
-        , sg_let_binds   :: Map Name DExp   -- from the *original* name
-        , sg_context     :: DCxt -- See Note [Tracking the current type signature context]
-        , sg_local_decls :: [Dec]
-        }
-
-emptySgEnv :: SgEnv
-emptySgEnv = SgEnv { sg_options     = defaultOptions
-                   , sg_let_binds   = Map.empty
-                   , sg_context     = []
-                   , sg_local_decls = []
-                   }
-
--- the singling monad
-newtype SgM a = SgM (ReaderT SgEnv (WriterT [DDec] Q) a)
-  deriving ( Functor, Applicative, Monad
-           , MonadReader SgEnv, MonadWriter [DDec]
-           , MonadFail, MonadIO, Quasi )
-
-instance DsMonad SgM where
-  localDeclarations = asks sg_local_decls
-
-instance OptionsMonad SgM where
-  getOptions = asks sg_options
-
-bindLets :: [(Name, DExp)] -> SgM a -> SgM a
-bindLets lets1 =
-  local (\env@(SgEnv { sg_let_binds = lets2 }) ->
-               env { sg_let_binds = (Map.fromList lets1) `Map.union` lets2 })
-
--- Add some constraints to the current type signature context.
--- See Note [Tracking the current type signature context]
-bindContext :: DCxt -> SgM a -> SgM a
-bindContext ctxt1
-  = local (\env@(SgEnv { sg_context = ctxt2 }) ->
-                 env { sg_context = ctxt1 ++ ctxt2 })
-
--- Retrieve the current type signature context.
--- See Note [Tracking the current type signature context]
-askContext :: SgM DCxt
-askContext = asks sg_context
-
-lookupVarE :: Name -> SgM DExp
-lookupVarE name = do
-  opts <- getOptions
-  lookup_var_con (singledValueName opts)
-                 (DVarE . singledValueName opts) name
-
-lookupConE :: Name -> SgM DExp
-lookupConE name = do
-  opts <- getOptions
-  lookup_var_con (singledDataConName opts)
-                 (DConE . singledDataConName opts) name
-
-lookup_var_con :: (Name -> Name) -> (Name -> DExp) -> Name -> SgM DExp
-lookup_var_con mk_sing_name mk_exp name = do
-  opts <- getOptions
-  letExpansions <- asks sg_let_binds
-  sName <- mkDataName (nameBase (mk_sing_name name)) -- we want *term* names!
-  case Map.lookup name letExpansions of
-    Nothing -> do
-      -- try to get it from the global context
-      m_dinfo <- liftM2 (<|>) (dsReify sName) (dsReify name)
-        -- try the unrefined name too -- it's needed to bootstrap Enum
-      case m_dinfo of
-        Just (DVarI _ ty _) ->
-          let num_args = countArgs ty in
-          return $ wrapSingFun num_args (DConT $ defunctionalizedName0 opts name)
-                               (mk_exp name)
-        _ -> return $ mk_exp name   -- lambda-bound
-    Just exp -> return exp
-
-wrapSingFun :: Int -> DType -> DExp -> DExp
-wrapSingFun 0 _  = id
-wrapSingFun n ty =
-  let wrap_fun = DVarE $ case n of
-                           1 -> 'singFun1
-                           2 -> 'singFun2
-                           3 -> 'singFun3
-                           4 -> 'singFun4
-                           5 -> 'singFun5
-                           6 -> 'singFun6
-                           7 -> 'singFun7
-                           _ -> error "No support for functions of arity > 7."
-  in
-  (wrap_fun `DAppTypeE` ty `DAppE`)
-
-singM :: OptionsMonad q => [Dec] -> SgM a -> q (a, [DDec])
-singM locals (SgM rdr) = do
-  opts         <- getOptions
-  other_locals <- localDeclarations
-  let wr = runReaderT rdr (emptySgEnv { sg_options     = opts
-                                      , sg_local_decls = other_locals ++ locals })
-      q  = runWriterT wr
-  runQ q
-
-singDecsM :: OptionsMonad q => [Dec] -> SgM [DDec] -> q [DDec]
-singDecsM locals thing = do
-  (decs1, decs2) <- singM locals thing
-  return $ decs1 ++ decs2
-
-{-
-Note [Tracking the current type signature context]
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-Much like we track the let-bound names in scope, we also track the current
-context. For instance, in the following program:
-
-  -- (1)
-  f :: forall a. Show a => a -> String -> Bool
-  f x y = g (show x) y
-    where
-      -- (2)
-      g :: forall b. Eq b => b -> b -> Bool
-      g = h
-        where
-          -- (3)
-          h :: b -> b -> Bool
-          h = (==)
-
-Here is the context at various points:
-
-(1) ()
-(2) (Show a)
-(3) (Show a, Eq b)
-
-We track this informating during singling instead of during promotion, as the
-promoted versions of things are often type families, which do not have
-contexts.
-
-Why do we bother tracking this at all? Ultimately, because singDefuns (from
-Data.Singletons.TH.Single.Defun) needs to know the current context in order to
-generate a correctly typed SingI instance. For instance, if you called
-singDefuns on the class method bar:
-
-  class Foo a where
-    bar :: Eq a => a -> Bool
-
-Then if you only grabbed the context of `bar` itself, then you'd end up
-generating the following SingI instance for BarSym0:
-
-  instance SEq a => SingI (FooSym0 :: a ~> Bool) where ...
-
-Which is incorrect—there needs to be an (SFoo a) constraint as well! If we
-track the current context when singling Foo, then we will correctly propagate
-this information to singDefuns.
--}
+{-# LANGUAGE TemplateHaskellQuotes #-}++{- Data/Singletons/TH/Single/Monad.hs++(c) Richard Eisenberg 2014+rae@cs.brynmawr.edu++This file defines the SgM monad and its operations, for use during singling.++The SgM monad allows reading from a SgEnv environment and is wrapped around a Q.+-}++module Data.Singletons.TH.Single.Monad (+  SgM, bindLambdas, bindLets, bindContext,+  askContext, lookupVarE, lookupConE,+  wrapSingFun,+  singM, singDecsM,+  emitDecs, emitDecsM+  ) where++import Prelude hiding ( exp )+import Data.Map ( Map )+import qualified Data.Map as Map+import Data.Singletons+import Data.Singletons.TH.Options+import Data.Singletons.TH.Promote.Monad ( emitDecs, emitDecsM )+import Data.Singletons.TH.Util+import Language.Haskell.TH.Syntax hiding ( lift )+import Language.Haskell.TH.Desugar+import Control.Monad ( liftM2 )+import Control.Monad.IO.Class ( MonadIO )+import Control.Monad.Reader ( MonadReader(..), ReaderT(..), asks )+import Control.Monad.Writer ( MonadWriter, WriterT(..) )+import Control.Applicative++-- environment during singling+data SgEnv =+  SgEnv { sg_options     :: Options+        , sg_local_vars  :: Map Name DExp+          -- ^ Map from term-level 'Name's of local variables to their+          -- singled counterparts. See @Note [Tracking local variables]@ in+          -- "Data.Singletons.TH.Promote.Monad".+        , sg_context     :: DCxt -- See Note [Tracking the current type signature context]+        , sg_local_decls :: [Dec]+        }++emptySgEnv :: SgEnv+emptySgEnv = SgEnv { sg_options     = defaultOptions+                   , sg_local_vars  = Map.empty+                   , sg_context     = []+                   , sg_local_decls = []+                   }++-- the singling monad+newtype SgM a = SgM (ReaderT SgEnv (WriterT [DDec] Q) a)+  deriving ( Functor, Applicative, Monad+           , MonadReader SgEnv, MonadWriter [DDec]+           , MonadFail, MonadIO, Quasi )++instance DsMonad SgM where+  localDeclarations = asks sg_local_decls++instance OptionsMonad SgM where+  getOptions = asks sg_options++-- ^ Bring a list of lambda-bound names into scope for the duration the supplied+-- computation, where the first element of each pair is the original, term-level+-- name, and the second element of each pair is the singled counterpart.+-- See @Note [Tracking local variables]@ in "Data.Singletons.TH.Promote.Monad".+bindLambdas :: [(Name, Name)] -> SgM a -> SgM a+bindLambdas lambdas = local add_binds+  where add_binds env@(SgEnv { sg_local_vars = locals }) =+          let new_locals = Map.fromList [ (tmN, DVarE tyN) | (tmN, tyN) <- lambdas ] in+          env { sg_local_vars = new_locals `Map.union` locals }++-- ^ Bring a list of let-bound names into scope for the duration the supplied+-- computation, where the first element of each pair is the original, term-level+-- name, and the second element of each pair is the singled counterpart.+-- See @Note [Tracking local variables]@ in "Data.Singletons.TH.Promote.Monad".+bindLets :: [(Name, DExp)] -> SgM a -> SgM a+bindLets lets =+  local (\env@(SgEnv { sg_local_vars = locals }) ->+               env { sg_local_vars = Map.fromList lets `Map.union` locals })++-- Add some constraints to the current type signature context.+-- See Note [Tracking the current type signature context]+bindContext :: DCxt -> SgM a -> SgM a+bindContext ctxt1+  = local (\env@(SgEnv { sg_context = ctxt2 }) ->+                 env { sg_context = ctxt1 ++ ctxt2 })++-- Retrieve the current type signature context.+-- See Note [Tracking the current type signature context]+askContext :: SgM DCxt+askContext = asks sg_context++-- | Map a term-level 'Name' to its singled counterpart. This function is aware+-- of any local variables that are currently in scope.+-- See @Note [Tracking local variables]@ in "Data.Singletons.TH.Promote.Monad".+lookupVarE :: Name -> SgM DExp+lookupVarE name = do+  opts <- getOptions+  lookup_var_con (singledValueName opts)+                 (DVarE . singledValueName opts) name++-- | Map a data constructor name to its singled counterpart.+lookupConE :: Name -> SgM DExp+lookupConE name = do+  opts <- getOptions+  lookup_var_con (singledDataConName opts)+                 (DConE . singledDataConName opts) name++lookup_var_con :: (Name -> Name) -> (Name -> DExp) -> Name -> SgM DExp+lookup_var_con mk_sing_name mk_exp name = do+  opts <- getOptions+  localExpansions <- asks sg_local_vars+  sName <- mkDataName (nameBase (mk_sing_name name)) -- we want *term* names!+  case Map.lookup name localExpansions of+    Nothing -> do+      -- try to get it from the global context+      m_dinfo <- liftM2 (<|>) (dsReify sName) (dsReify name)+        -- try the unrefined name too -- it's needed to bootstrap Enum+      case m_dinfo of+        Just (DVarI _ ty _) ->+          let num_args = countArgs ty in+          return $ wrapSingFun num_args (DConT $ defunctionalizedName0 opts name)+                               (mk_exp name)+        _ -> return $ mk_exp name   -- lambda-bound+    Just exp -> return exp++wrapSingFun :: Int -> DType -> DExp -> DExp+wrapSingFun 0 _  = id+wrapSingFun n ty =+  let wrap_fun = DVarE $ case n of+                           1 -> 'singFun1+                           2 -> 'singFun2+                           3 -> 'singFun3+                           4 -> 'singFun4+                           5 -> 'singFun5+                           6 -> 'singFun6+                           7 -> 'singFun7+                           _ -> error "No support for functions of arity > 7."+  in+  (wrap_fun `DAppTypeE` ty `DAppE`)++singM :: OptionsMonad q => [Dec] -> SgM a -> q (a, [DDec])+singM locals (SgM rdr) = do+  opts         <- getOptions+  other_locals <- localDeclarations+  let wr = runReaderT rdr (emptySgEnv { sg_options     = opts+                                      , sg_local_decls = other_locals ++ locals })+      q  = runWriterT wr+  runQ q++singDecsM :: OptionsMonad q => [Dec] -> SgM [DDec] -> q [DDec]+singDecsM locals thing = do+  (decs1, decs2) <- singM locals thing+  return $ decs1 ++ decs2++{-+Note [Tracking the current type signature context]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+Much like we track the locally-bound names in scope (see Note [Tracking local+variables] in Data.Singletons.TH.Promote.Monad), we also track the current+context. For instance, in the following program:++  -- (1)+  f :: forall a. Show a => a -> String -> Bool+  f x y = g (show x) y+    where+      -- (2)+      g :: forall b. Eq b => b -> b -> Bool+      g = h+        where+          -- (3)+          h :: b -> b -> Bool+          h = (==)++Here is the context at various points:++(1) ()+(2) (Show a)+(3) (Show a, Eq b)++We track this informating during singling instead of during promotion, as the+promoted versions of things are often type families, which do not have+contexts.++Why do we bother tracking this at all? Ultimately, because singDefuns (from+Data.Singletons.TH.Single.Defun) needs to know the current context in order to+generate a correctly typed SingI instance. For instance, if you called+singDefuns on the class method bar:++  class Foo a where+    bar :: Eq a => a -> Bool++Then if you only grabbed the context of `bar` itself, then you'd end up+generating the following SingI instance for BarSym0:++  instance SEq a => SingI (FooSym0 :: a ~> Bool) where ...++Which is incorrect—there needs to be an (SFoo a) constraint as well! If we+track the current context when singling Foo, then we will correctly propagate+this information to singDefuns.+-}
+ src/Data/Singletons/TH/Single/Ord.hs view
@@ -0,0 +1,43 @@+-----------------------------------------------------------------------------+-- |+-- Module      :  Data.Singletons.TH.Single.Ord+-- Copyright   :  (C) 2023 Ryan Scott+-- License     :  BSD-style (see LICENSE)+-- Maintainer  :  Ryan Scott+-- Stability   :  experimental+-- Portability :  non-portable+--+-- Defines a function to generate boilerplate Ord instances for singleton+-- types.+--+-----------------------------------------------------------------------------++module Data.Singletons.TH.Single.Ord (mkOrdInstanceForSingleton) where++import Language.Haskell.TH.Syntax+import Language.Haskell.TH.Desugar+import Data.Singletons.TH.Names+import Data.Singletons.TH.Options+import Data.Singletons.TH.Promote.Type++-- Make a boilerplate Ord instance for a singleton type, e.g.,+--+-- @+-- instance Ord (SExample (z :: Example a)) where+--   compare _ _ = EQ+-- @+mkOrdInstanceForSingleton :: OptionsMonad q+                          => DType+                          -> Name+                          -- ^ The name of the data type+                          -> q DDec+mkOrdInstanceForSingleton data_ty data_name = do+  opts <- getOptions+  z <- qNewName "z"+  data_ki <- promoteType data_ty+  let sdata_name = singledDataTypeName opts data_name+  pure $ DInstanceD Nothing Nothing []+           (DAppT (DConT ordName) (DConT sdata_name `DAppT` DSigT (DVarT z) data_ki))+           [DLetDec $+            DFunD compareName+                  [DClause [DWildP, DWildP] (DConE cmpEQName)]]
src/Data/Singletons/TH/Single/Type.hs view
@@ -1,336 +1,336 @@-{- Data/Singletons/TH/Single/Type.hs
-
-(c) Richard Eisenberg 2013
-rae@cs.brynmawr.edu
-
-Singletonizes types.
--}
-
-module Data.Singletons.TH.Single.Type where
-
-import Language.Haskell.TH.Desugar
-import Language.Haskell.TH.Syntax
-import Data.Singletons.TH.Names
-import Data.Singletons.TH.Options
-import Data.Singletons.TH.Promote.Type
-import Data.Singletons.TH.Single.Monad
-import Data.Singletons.TH.Util
-import Control.Monad
-
-singType :: DType          -- the promoted version of the thing classified by...
-         -> DType          -- ... this type
-         -> SgM ( DType    -- the singletonized type
-                , Int      -- the number of arguments
-                , [Name]   -- the names of the tyvars used in the sing'd type
-                , DCxt     -- the context of the singletonized type
-                , [DKind]  -- the kinds of the argument types
-                , DKind )  -- the kind of the result type
-singType prom ty = do
-  (orig_tvbs, cxt, args, res) <- unravelVanillaDType ty
-  let num_args = length args
-  cxt' <- mapM singPred_NC cxt
-  arg_names <- replicateM num_args (qNewName "t")
-  prom_args <- mapM promoteType_NC args
-  prom_res  <- promoteType_NC res
-  let args' = map (\n -> singFamily `DAppT` (DVarT n)) arg_names
-      res'  = singFamily `DAppT` (foldApply prom (map DVarT arg_names) `DSigT` prom_res)
-                -- Make sure to include an explicit `prom_res` kind annotation.
-                -- See Note [Preserve the order of type variables during singling],
-                -- wrinkle 3.
-      arg_tvbs = zipWith (`DKindedTV` SpecifiedSpec) arg_names prom_args
-      -- If the original type signature lacks an explicit `forall`, then do not
-      -- give the singled type signature an outermost `forall`. Instead, give it
-      -- a `<singled-ty> :: Type` kind annotation and let GHC implicitly
-      -- quantify any type variables that are free in `<singled-ty>`.
-      -- See Note [Preserve the order of type variables during singling],
-      -- wrinkle 1.
-      ty' | null orig_tvbs
-          = ravelVanillaDType arg_tvbs cxt' args' res' `DSigT` DConT typeKindName
-          | otherwise
-          = ravelVanillaDType (orig_tvbs ++ arg_tvbs) cxt' args' res'
-  return (ty', num_args, arg_names, cxt, prom_args, prom_res)
-
--- Single a DPred, checking that it is a vanilla type in the process.
--- See [Vanilla-type validity checking during promotion]
--- in Data.Singletons.TH.Promote.Type.
-singPred :: DPred -> SgM DPred
-singPred p = do
-  checkVanillaDType p
-  singPred_NC p
-
--- Single a DPred. Does not check if the argument is a vanilla type.
--- See [Vanilla-type validity checking during promotion]
--- in Data.Singletons.TH.Promote.Type.
-singPred_NC :: DPred -> SgM DPred
-singPred_NC = singPredRec []
-
--- The workhorse for singPred_NC.
-singPredRec :: [DTypeArg] -> DPred -> SgM DPred
-singPredRec _cxt (DForallT {}) =
-  fail "Singling of quantified constraints not yet supported"
-singPredRec _cxt (DConstrainedT {}) =
-  fail "Singling of quantified constraints not yet supported"
-singPredRec ctx (DAppT pr ty) = singPredRec (DTANormal ty : ctx) pr
-singPredRec ctx (DAppKindT pr ki) = singPredRec (DTyArg ki : ctx) pr
-singPredRec _ctx (DSigT _pr _ki) =
-  fail "Singling of constraints with explicit kinds not yet supported"
-singPredRec _ctx (DVarT _n) =
-  fail "Singling of contraint variables not yet supported"
-singPredRec ctx (DConT n)
-  | n == equalityName
-  = fail "Singling of type equality constraints not yet supported"
-  | otherwise = do
-    opts <- getOptions
-    kis <- mapM promoteTypeArg_NC ctx
-    let sName = singledClassName opts n
-    return $ applyDType (DConT sName) kis
-singPredRec _ctx DWildCardT = return DWildCardT  -- it just might work
-singPredRec _ctx DArrowT =
-  fail "(->) spotted at head of a constraint"
-singPredRec _ctx (DLitT {}) =
-  fail "Type-level literal spotted at head of a constraint"
-
-{-
-Note [Preserve the order of type variables during singling]
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-singletons-th does its best to preseve the order in which users write type
-variables in type signatures for functions and data constructors. They are
-"preserved" in the sense that if one writes `foo @T1 @T2`, one should be
-able to write out `sFoo @T1 @T2` by hand and have the same order of visible
-type applications still work. Accomplishing this is surprisingly nontrivial,
-so this Note documents the various wrinkles one must iron out to get this
-working.
-
------
--- Wrinkle 1: Dealing with the presence (and absence) of `forall`
------
-
-If we single a function that has an explicit `forall`, such as this example:
-
-  const2 :: forall b a. a -> b -> a
-  const2 x _ = x
-
-Then our job is easy, as the exact order of type variables has already been
-spelled out in advance. We single this to:
-
-  sConst2 :: forall b a (x :: a) (y :: b). Sing x -> Sing y -> Sing (Const2 x y :: a)
-  sConst2 = ...
-
-What happens if there is no explicit `forall`, as in this example?
-
-  data V a
-
-  absurd :: V a -> b
-  absurd v = case v of {}
-
-This time, the order of type variables vis-à-vis TypeApplications is determined
-by their left-to-right order of appearance in the type signature. This order
-dictates that `a` is quantified before `b`, so we must mirror this order in the
-singled type signature.
-
-One way to accomplish this would be to compute the order in which the type
-variables appear and then explicitly quantify them. In the `absurd` example
-above, this would be tantamount to writing:
-
-  sAbsurd :: forall a b (v :: V a). Sing v -> Sing (Absurd v :: b)
-                    ^^^
-                    |||
-         Explicitly quantified by singletons-th,
-         not in the original type signature
-
-This is possible to do, and indeed, singletons-th used to do this. However, it
-is a bit tiresome to implement. In order to know which type variables to
-quantify, you must keep track of which type variables have been brought into
-scope at all times. For the historical details on how this worked, see this
-now-removed Note describing the old implementation:
-https://github.com/goldfirere/singletons/blob/10ef27880d7ecc16241824c504ca83e2bb6ca787/singletons-th/src/Data/Singletons/TH/Promote/Monad.hs#L135-L192
-
-A much more straightforward approach, which singletons-th currently uses, is to
-let GHC do the hard work of implicitly quantifying the type variables. That is,
-we will single `absurd` to something like this:
-
-  sAbsurd :: () => forall (v :: V a). Sing v -> Sing (Absurd v :: b)
-
-This works because just like in the original type signature, `a` and `b` are
-implicitly quantified, and more importantly, they are quantified in exactly the
-same order as in the original type signature.
-
-Why do we need the `() => ...` part? If we had instead written the type
-signature like this:
-
-  sAbsurd :: forall (v :: V a). Sing v -> Sing (Absurd v :: b)
-
-Then GHC would reject `a` and `b` for being out of scope. This is because of
-GHC's "forall-or-nothing" rule: if a type signature has an outermost forall,
-then all type variable occurrences in the type signature must have explicit
-binding sites. Using `() => forall (v :: V a). ...` prevents the `forall` from
-being an outermost `forall`, which bypasses the forall-or-nothing rule.
-
-Some further complications:
-
-* Template Haskell doesn't actually allow you to splice in types of the form
-  `() => ...` in practice.
-  See https://gitlab.haskell.org/ghc/ghc/-/issues/16396. Luckily, this isn't a
-  deal-breaker, as we can also avoid the forall-or-nothing rule by annotating
-  the type signature with an explicit `... :: Type` annotation:
-
-    sAbsurd :: ((forall (v :: V a). Sing v -> Sing (Absurd v :: b)) :: Type)
-
-  This is the approach that singletons-th actually uses. Note that there is one
-  spot in the code (in D.S.TH.Single.singInstD) that must be taught to look
-  through these `... :: Type` annotations, but this approach is otherwise fairly
-  non-invasive.
-
-* We cannot use this trick when singling the types of data constructors. That
-  is, we cannot single this:
-
-    data T a where
-      MkT :: a -> T a
-
-  To this:
-
-    data ST z where
-      SMkT :: ((forall (x :: a). Sing x -> ST (MkT x)) :: Type)
-
-  This is because GADT syntax does not currently permit nested `forall`s of this
-  sort. (It might permit them in the future if
-  https://github.com/ghc-proposals/ghc-proposals/blob/master/proposals/0402-gadt-syntax.rst
-  is implemented, but not currently.) As a result, we /always/ explicitly
-  quantify all type variables in a data constructor's type, regardless of
-  whether the original type implicitly quantified them or not. In the example
-  above, that means that the singled version would be:
-
-    data ST z where
-      SMkT :: forall a (x :: a). Sing x -> ST (MkT x)
-
------
--- Wrinkle 2: The TH reification swamp
------
-
-There is another issue with type signatures that lack explicit `forall`s, one
-which the current design of Template Haskell does not make simple to fix.
-If we single code that is wrapped in TH quotes, such as in the following example:
-
-  {-# LANGUAGE PolyKinds, ... #-}
-  $(singletons [d|
-    data Proxy a = MkProxy
-    |])
-
-Then our job is made much easier when singling MkProxy, since we know that the
-only type variable that must be quantified is `a`, as that is the only one
-specified by the user. This results in the following type signature for
-MkProxy:
-
-  MkProxy :: forall a. Proxy a
-
-However, this is not the only possible way to single MkProxy. One can
-alternatively use $(genSingletons [''Proxy]), which uses TH reification to
-infer the type of MkProxy. There is perilous, however, because this is how
-TH reifies Proxy:
-
-  DataD
-    [] ''Proxy [KindedTV a () (VarT k)] Nothing
-    [NormalC 'MkProxy []]
-    []
-
-We must then construct a type signature for MkProxy using nothing but the type
-variables from the data type header. But notice that `KindedTV a () (VarT k)`
-gives no indication of whether `k` is specified or inferred! As a result, we
-conservatively assume that `k` is specified, resulting the following type
-signature for MkProxy:
-
-  MkProxy :: forall k (a :: k). Proxy a
-
-Contrast this with `MkProxy :: Proxy a`, where `k` is inferred. In other words,
-if you single MkProxy using genSingletons, then `Proxy @True` will typecheck
-but `SMkProxy @True` will /not/ typecheck—you'd have to use
-`SMkProxy @_ @True` instead. Urk!
-
-At present, Template Haskell does not have a way to distinguish among the
-specificities bound by a data type header. Without this knowledge, it is
-unclear how one could work around this issue. Thankfully, this issue is
-only likely to surface in very limited circumstances, so the damage is somewhat
-minimal.
-
------
--- Wrinkle 3: Where to put explicit kind annotations
------
-
-Type variable binders are only part of the story—we must also determine what
-the body of the type signature will be singled to. As a general rule, if the
-original type signature is of the form:
-
-  f :: forall a_1 ... a_m. (C_1, ..., C_n)
-    => T_1 -> ... -> T_p -> R
-
-Then the singled type signature will be:
-
-  sF :: forall a_1 ... a_m (x_1 :: PT_1) ... (x_p :: PT_p). (SC_1, ..., SC_n)
-     => Sing x1 -> ... -> Sing x_p -> SRes (F x1 ... x_p :: PR)
-
-Where:
-
-* x_i is a fresh type variable of kind PT_i.
-* PT_i is the promoted version of the type T_i, and PR is the promoted version
-  of the type R.
-* SC_i is the singled version of the constraint SC_i.
-* SRes is either `Sing` if dealing with a function, or a singled data type if
-  dealing with a data constructor. For instance, SRes is `SBool` in
-  `STrue :: SBool (True :: Bool)`.
-
-One aspect of this worth pointing out is the explicit `:: PR` kind annotation
-in the result type `Sing (F x1 ... x_p :: PR)`. As it turns out, this kind
-annotation is mandatory, as omitting can result in singled type signatures
-with the wrong semantics. For instance, consider the `Nothing` data
-constructor:
-
-  Nothing :: forall a. Maybe a
-
-Consider what would happen if it were singled to this type:
-
-  SNothing :: forall a. SMaybe Nothing
-
-This is not what we want at all, since the `a` has no connection to the
-`Nothing` in the result type. It's as if we had written this:
-
-  SNothing :: forall {t} a. SMaybe (Nothing :: Maybe t)
-
-If we instead generate `forall a. SMaybe (Nothing :: Maybe a)`, then this issue
-is handily avoided.
-
-You might wonder if it would be cleaner to use visible kind applications
-instead:
-
-  SNothing :: forall a. SMaybe (Nothing @a)
-
-This does work for many cases, but there are also some corner cases where this
-approach fails. Recall the `MkProxy` example from Wrinkle 2 above:
-
-  {-# LANGUAGE PolyKinds, ... #-}
-  data Proxy a = MkProxy
-  $(genSingletons [''Proxy])
-
-Due to the design of Template Haskell (discussed in Wrinkle 2), `MkProxy` will
-be reified with the type of `forall k (a :: k). Proxy a`. This means that
-if we used visible kind applications in the result type, we would end up with
-this:
-
-  SMkProxy :: forall k (a :: k). SProxy (MkProxy @k @a)
-
-This will not kind-check because MkProxy only accepts /one/ visible kind argument,
-whereas this supplies it with two. To avoid this issue, we instead use the type
-`forall k (a :: k). SProxy (MkProxy :: Proxy a)`. Granted, this type is /still/
-technically wrong due to the fact that it explicitly quantifies `k`, but at the
-very least it typechecks. If Template Haskell gained the ability to distinguish
-among the specificities of type variables bound by a data type header
-(perhaps by way of a language feature akin to
-https://github.com/ghc-proposals/ghc-proposals/pull/326), then we could revisit
-this design choice.
-
-Finally, note that we need only write `Sing x_1 -> ... -> Sing x_p`, and not
-`Sing (x_1 :: PT_1) -> ... Sing (x_p :: PT_p)`. This is simply because we
-always use explicit `forall`s in singled type signatures, and therefore always
-explicitly bind `(x_1 :: PT_1) ... (x_p :: PT_p)`, which fully determine the
-kinds of `x_1 ... x_p`. It wouldn't be wrong to add extra kind annotations to
-`Sing x_1 -> ... -> Sing x_p`, just redundant.
--}
+{- Data/Singletons/TH/Single/Type.hs++(c) Richard Eisenberg 2013+rae@cs.brynmawr.edu++Singletonizes types.+-}++module Data.Singletons.TH.Single.Type where++import Language.Haskell.TH.Desugar+import Language.Haskell.TH.Syntax+import Data.Singletons.TH.Names+import Data.Singletons.TH.Options+import Data.Singletons.TH.Promote.Type+import Data.Singletons.TH.Single.Monad+import Data.Singletons.TH.Util+import Control.Monad++singType :: DType          -- the promoted version of the thing classified by...+         -> DType          -- ... this type+         -> SgM ( DType    -- the singletonized type+                , Int      -- the number of arguments+                , [Name]   -- the names of the tyvars used in the sing'd type+                , DCxt     -- the context of the singletonized type+                , [DKind]  -- the kinds of the argument types+                , DKind )  -- the kind of the result type+singType prom ty = do+  (orig_tvbs, cxt, args, res) <- unravelVanillaDType ty+  let num_args = length args+  cxt' <- mapM singPred_NC cxt+  arg_names <- replicateM num_args (qNewName "t")+  prom_args <- mapM promoteType_NC args+  prom_res  <- promoteType_NC res+  let args' = map (\n -> singFamily `DAppT` (DVarT n)) arg_names+      res'  = singFamily `DAppT` (foldApply prom (map DVarT arg_names) `DSigT` prom_res)+                -- Make sure to include an explicit `prom_res` kind annotation.+                -- See Note [Preserve the order of type variables during singling],+                -- wrinkle 3.+      arg_tvbs = zipWith (`DKindedTV` SpecifiedSpec) arg_names prom_args+      -- If the original type signature lacks an explicit `forall`, then do not+      -- give the singled type signature an outermost `forall`. Instead, give it+      -- a `<singled-ty> :: Type` kind annotation and let GHC implicitly+      -- quantify any type variables that are free in `<singled-ty>`.+      -- See Note [Preserve the order of type variables during singling],+      -- wrinkle 1.+      ty' | null orig_tvbs+          = ravelVanillaDType arg_tvbs cxt' args' res' `DSigT` DConT typeKindName+          | otherwise+          = ravelVanillaDType (orig_tvbs ++ arg_tvbs) cxt' args' res'+  return (ty', num_args, arg_names, cxt, prom_args, prom_res)++-- Single a DPred, checking that it is a vanilla type in the process.+-- See [Vanilla-type validity checking during promotion]+-- in Data.Singletons.TH.Promote.Type.+singPred :: DPred -> SgM DPred+singPred p = do+  checkVanillaDType p+  singPred_NC p++-- Single a DPred. Does not check if the argument is a vanilla type.+-- See [Vanilla-type validity checking during promotion]+-- in Data.Singletons.TH.Promote.Type.+singPred_NC :: DPred -> SgM DPred+singPred_NC = singPredRec []++-- The workhorse for singPred_NC.+singPredRec :: [DTypeArg] -> DPred -> SgM DPred+singPredRec _cxt (DForallT {}) =+  fail "Singling of quantified constraints not yet supported"+singPredRec _cxt (DConstrainedT {}) =+  fail "Singling of quantified constraints not yet supported"+singPredRec ctx (DAppT pr ty) = singPredRec (DTANormal ty : ctx) pr+singPredRec ctx (DAppKindT pr ki) = singPredRec (DTyArg ki : ctx) pr+singPredRec _ctx (DSigT _pr _ki) =+  fail "Singling of constraints with explicit kinds not yet supported"+singPredRec _ctx (DVarT _n) =+  fail "Singling of contraint variables not yet supported"+singPredRec ctx (DConT n)+  | n == equalityName+  = fail "Singling of type equality constraints not yet supported"+  | otherwise = do+    opts <- getOptions+    kis <- mapM promoteTypeArg_NC ctx+    let sName = singledClassName opts n+    return $ applyDType (DConT sName) kis+singPredRec _ctx DWildCardT = return DWildCardT  -- it just might work+singPredRec _ctx DArrowT =+  fail "(->) spotted at head of a constraint"+singPredRec _ctx (DLitT {}) =+  fail "Type-level literal spotted at head of a constraint"++{-+Note [Preserve the order of type variables during singling]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+singletons-th does its best to preseve the order in which users write type+variables in type signatures for functions and data constructors. They are+"preserved" in the sense that if one writes `foo @T1 @T2`, one should be+able to write out `sFoo @T1 @T2` by hand and have the same order of visible+type applications still work. Accomplishing this is surprisingly nontrivial,+so this Note documents the various wrinkles one must iron out to get this+working.++-----+-- Wrinkle 1: Dealing with the presence (and absence) of `forall`+-----++If we single a function that has an explicit `forall`, such as this example:++  const2 :: forall b a. a -> b -> a+  const2 x _ = x++Then our job is easy, as the exact order of type variables has already been+spelled out in advance. We single this to:++  sConst2 :: forall b a (x :: a) (y :: b). Sing x -> Sing y -> Sing (Const2 x y :: a)+  sConst2 = ...++What happens if there is no explicit `forall`, as in this example?++  data V a++  absurd :: V a -> b+  absurd v = case v of {}++This time, the order of type variables vis-à-vis TypeApplications is determined+by their left-to-right order of appearance in the type signature. This order+dictates that `a` is quantified before `b`, so we must mirror this order in the+singled type signature.++One way to accomplish this would be to compute the order in which the type+variables appear and then explicitly quantify them. In the `absurd` example+above, this would be tantamount to writing:++  sAbsurd :: forall a b (v :: V a). Sing v -> Sing (Absurd v :: b)+                    ^^^+                    |||+         Explicitly quantified by singletons-th,+         not in the original type signature++This is possible to do, and indeed, singletons-th used to do this. However, it+is a bit tiresome to implement. In order to know which type variables to+quantify, you must keep track of which type variables have been brought into+scope at all times. For the historical details on how this worked, see this+now-removed Note describing the old implementation:+https://github.com/goldfirere/singletons/blob/10ef27880d7ecc16241824c504ca83e2bb6ca787/singletons-th/src/Data/Singletons/TH/Promote/Monad.hs#L135-L192++A much more straightforward approach, which singletons-th currently uses, is to+let GHC do the hard work of implicitly quantifying the type variables. That is,+we will single `absurd` to something like this:++  sAbsurd :: () => forall (v :: V a). Sing v -> Sing (Absurd v :: b)++This works because just like in the original type signature, `a` and `b` are+implicitly quantified, and more importantly, they are quantified in exactly the+same order as in the original type signature.++Why do we need the `() => ...` part? If we had instead written the type+signature like this:++  sAbsurd :: forall (v :: V a). Sing v -> Sing (Absurd v :: b)++Then GHC would reject `a` and `b` for being out of scope. This is because of+GHC's "forall-or-nothing" rule: if a type signature has an outermost forall,+then all type variable occurrences in the type signature must have explicit+binding sites. Using `() => forall (v :: V a). ...` prevents the `forall` from+being an outermost `forall`, which bypasses the forall-or-nothing rule.++Some further complications:++* Template Haskell doesn't actually allow you to splice in types of the form+  `() => ...` in practice.+  See https://gitlab.haskell.org/ghc/ghc/-/issues/16396. Luckily, this isn't a+  deal-breaker, as we can also avoid the forall-or-nothing rule by annotating+  the type signature with an explicit `... :: Type` annotation:++    sAbsurd :: ((forall (v :: V a). Sing v -> Sing (Absurd v :: b)) :: Type)++  This is the approach that singletons-th actually uses. Note that there is one+  spot in the code (in D.S.TH.Single.singInstD) that must be taught to look+  through these `... :: Type` annotations, but this approach is otherwise fairly+  non-invasive.++* We cannot use this trick when singling the types of data constructors. That+  is, we cannot single this:++    data T a where+      MkT :: a -> T a++  To this:++    data ST z where+      SMkT :: ((forall (x :: a). Sing x -> ST (MkT x)) :: Type)++  This is because GADT syntax does not currently permit nested `forall`s of this+  sort. (It might permit them in the future if+  https://github.com/ghc-proposals/ghc-proposals/blob/master/proposals/0402-gadt-syntax.rst+  is implemented, but not currently.) As a result, we /always/ explicitly+  quantify all type variables in a data constructor's type, regardless of+  whether the original type implicitly quantified them or not. In the example+  above, that means that the singled version would be:++    data ST z where+      SMkT :: forall a (x :: a). Sing x -> ST (MkT x)++-----+-- Wrinkle 2: The TH reification swamp+-----++There is another issue with type signatures that lack explicit `forall`s, one+which the current design of Template Haskell does not make simple to fix.+If we single code that is wrapped in TH quotes, such as in the following example:++  {-# LANGUAGE PolyKinds, ... #-}+  $(singletons [d|+    data Proxy a = MkProxy+    |])++Then our job is made much easier when singling MkProxy, since we know that the+only type variable that must be quantified is `a`, as that is the only one+specified by the user. This results in the following type signature for+MkProxy:++  MkProxy :: forall a. Proxy a++However, this is not the only possible way to single MkProxy. One can+alternatively use $(genSingletons [''Proxy]), which uses TH reification to+infer the type of MkProxy. There is perilous, however, because this is how+TH reifies Proxy:++  DataD+    [] ''Proxy [KindedTV a () (VarT k)] Nothing+    [NormalC 'MkProxy []]+    []++We must then construct a type signature for MkProxy using nothing but the type+variables from the data type header. But notice that `KindedTV a () (VarT k)`+gives no indication of whether `k` is specified or inferred! As a result, we+conservatively assume that `k` is specified, resulting the following type+signature for MkProxy:++  MkProxy :: forall k (a :: k). Proxy a++Contrast this with `MkProxy :: Proxy a`, where `k` is inferred. In other words,+if you single MkProxy using genSingletons, then `Proxy @True` will typecheck+but `SMkProxy @True` will /not/ typecheck—you'd have to use+`SMkProxy @_ @True` instead. Urk!++At present, Template Haskell does not have a way to distinguish among the+specificities bound by a data type header. Without this knowledge, it is+unclear how one could work around this issue. Thankfully, this issue is+only likely to surface in very limited circumstances, so the damage is somewhat+minimal.++-----+-- Wrinkle 3: Where to put explicit kind annotations+-----++Type variable binders are only part of the story—we must also determine what+the body of the type signature will be singled to. As a general rule, if the+original type signature is of the form:++  f :: forall a_1 ... a_m. (C_1, ..., C_n)+    => T_1 -> ... -> T_p -> R++Then the singled type signature will be:++  sF :: forall a_1 ... a_m (x_1 :: PT_1) ... (x_p :: PT_p). (SC_1, ..., SC_n)+     => Sing x1 -> ... -> Sing x_p -> SRes (F x1 ... x_p :: PR)++Where:++* x_i is a fresh type variable of kind PT_i.+* PT_i is the promoted version of the type T_i, and PR is the promoted version+  of the type R.+* SC_i is the singled version of the constraint SC_i.+* SRes is either `Sing` if dealing with a function, or a singled data type if+  dealing with a data constructor. For instance, SRes is `SBool` in+  `STrue :: SBool (True :: Bool)`.++One aspect of this worth pointing out is the explicit `:: PR` kind annotation+in the result type `Sing (F x1 ... x_p :: PR)`. As it turns out, this kind+annotation is mandatory, as omitting can result in singled type signatures+with the wrong semantics. For instance, consider the `Nothing` data+constructor:++  Nothing :: forall a. Maybe a++Consider what would happen if it were singled to this type:++  SNothing :: forall a. SMaybe Nothing++This is not what we want at all, since the `a` has no connection to the+`Nothing` in the result type. It's as if we had written this:++  SNothing :: forall {t} a. SMaybe (Nothing :: Maybe t)++If we instead generate `forall a. SMaybe (Nothing :: Maybe a)`, then this issue+is handily avoided.++You might wonder if it would be cleaner to use visible kind applications+instead:++  SNothing :: forall a. SMaybe (Nothing @a)++This does work for many cases, but there are also some corner cases where this+approach fails. Recall the `MkProxy` example from Wrinkle 2 above:++  {-# LANGUAGE PolyKinds, ... #-}+  data Proxy a = MkProxy+  $(genSingletons [''Proxy])++Due to the design of Template Haskell (discussed in Wrinkle 2), `MkProxy` will+be reified with the type of `forall k (a :: k). Proxy a`. This means that+if we used visible kind applications in the result type, we would end up with+this:++  SMkProxy :: forall k (a :: k). SProxy (MkProxy @k @a)++This will not kind-check because MkProxy only accepts /one/ visible kind argument,+whereas this supplies it with two. To avoid this issue, we instead use the type+`forall k (a :: k). SProxy (MkProxy :: Proxy a)`. Granted, this type is /still/+technically wrong due to the fact that it explicitly quantifies `k`, but at the+very least it typechecks. If Template Haskell gained the ability to distinguish+among the specificities of type variables bound by a data type header+(perhaps by way of a language feature akin to+https://github.com/ghc-proposals/ghc-proposals/pull/326), then we could revisit+this design choice.++Finally, note that we need only write `Sing x_1 -> ... -> Sing x_p`, and not+`Sing (x_1 :: PT_1) -> ... Sing (x_p :: PT_p)`. This is simply because we+always use explicit `forall`s in singled type signatures, and therefore always+explicitly bind `(x_1 :: PT_1) ... (x_p :: PT_p)`, which fully determine the+kinds of `x_1 ... x_p`. It wouldn't be wrong to add extra kind annotations to+`Sing x_1 -> ... -> Sing x_p`, just redundant.+-}
src/Data/Singletons/TH/SuppressUnusedWarnings.hs view
@@ -1,21 +1,21 @@-{-# LANGUAGE AllowAmbiguousTypes #-}
-
--- Data/Singletons/TH/SuppressUnusedWarnings.hs
---
--- (c) Richard Eisenberg 2014
--- rae@cs.brynmawr.edu
---
--- This declares user-oriented exports that are actually meant to be hidden
--- from the user. Why would anyone ever want this? Because what is below
--- is dirty, and no one wants to see it.
-
-module Data.Singletons.TH.SuppressUnusedWarnings where
-
-import Data.Kind
-
--- | This class (which users should never see) is to be instantiated in order
--- to use an otherwise-unused data constructor, such as the "kind-inference"
--- data constructor for defunctionalization symbols.
-type SuppressUnusedWarnings :: k -> Constraint
-class SuppressUnusedWarnings (t :: k) where
-  suppressUnusedWarnings :: ()
+{-# LANGUAGE AllowAmbiguousTypes #-}++-- Data/Singletons/TH/SuppressUnusedWarnings.hs+--+-- (c) Richard Eisenberg 2014+-- rae@cs.brynmawr.edu+--+-- This declares user-oriented exports that are actually meant to be hidden+-- from the user. Why would anyone ever want this? Because what is below+-- is dirty, and no one wants to see it.++module Data.Singletons.TH.SuppressUnusedWarnings where++import Data.Kind++-- | This class (which users should never see) is to be instantiated in order+-- to use an otherwise-unused data constructor, such as the "kind-inference"+-- data constructor for defunctionalization symbols.+type SuppressUnusedWarnings :: k -> Constraint+class SuppressUnusedWarnings (t :: k) where+  suppressUnusedWarnings :: ()
src/Data/Singletons/TH/Syntax.hs view
@@ -1,224 +1,243 @@-{-# LANGUAGE DataKinds #-}
-{-# LANGUAGE TypeFamilies #-}
-
-{- Data/Singletons/TH/Syntax.hs
-
-(c) Richard Eisenberg 2014
-rae@cs.brynmawr.edu
-
-Converts a list of DLetDecs into a LetDecEnv for easier processing,
-and contains various other AST definitions.
--}
-
-module Data.Singletons.TH.Syntax where
-
-import Prelude hiding ( exp )
-import Data.Kind (Constraint, Type)
-import Language.Haskell.TH.Syntax hiding (Type)
-import Language.Haskell.TH.Desugar
-import qualified Language.Haskell.TH.Desugar.OMap.Strict as OMap
-import Language.Haskell.TH.Desugar.OMap.Strict (OMap)
-
-type VarPromotions = [(Name, Name)] -- from term-level name to type-level name
-
--- A list of 'SingDSigPaInfos' is produced when singling pattern signatures, as we
--- must case on the 'DExp's and match on them using the supplied 'DType's to
--- bring the necessary singleton equality constraints into scope.
--- See @Note [Singling pattern signatures]@.
-type SingDSigPaInfos = [(DExp, DType)]
-
--- The parts of data declarations that are relevant to singletons-th.
-data DataDecl = DataDecl DataFlavor Name [DTyVarBndrUnit] [DCon]
-
--- The parts of type synonyms that are relevant to singletons-th.
-data TySynDecl = TySynDecl Name [DTyVarBndrUnit] DType
-
--- The parts of open type families that are relevant to singletons-th.
-type OpenTypeFamilyDecl = TypeFamilyDecl 'Open
-
--- The parts of closed type families that are relevant to singletons-th.
-type ClosedTypeFamilyDecl = TypeFamilyDecl 'Closed
-
--- The parts of type families that are relevant to singletons-th.
-newtype TypeFamilyDecl (info :: FamilyInfo)
-  = TypeFamilyDecl { getTypeFamilyDecl :: DTypeFamilyHead }
--- Whether a type family is open or closed.
-data FamilyInfo = Open | Closed
-
-data ClassDecl ann
-  = ClassDecl { cd_cxt  :: DCxt
-              , cd_name :: Name
-              , cd_tvbs :: [DTyVarBndrUnit]
-              , cd_fds  :: [FunDep]
-              , cd_lde  :: LetDecEnv ann
-              , cd_atfs :: [OpenTypeFamilyDecl]
-                  -- Associated type families. Only recorded for
-                  -- defunctionalization purposes.
-                  -- See Note [Partitioning, type synonyms, and type families]
-                  -- in D.S.TH.Partition.
-              }
-
-data InstDecl  ann = InstDecl { id_cxt     :: DCxt
-                              , id_name    :: Name
-                              , id_arg_tys :: [DType]
-                              , id_sigs    :: OMap Name DType
-                              , id_meths   :: [(Name, LetDecRHS ann)] }
-
-type UClassDecl = ClassDecl Unannotated
-type UInstDecl  = InstDecl Unannotated
-
-type AClassDecl = ClassDecl Annotated
-type AInstDecl  = InstDecl Annotated
-
-{-
-We see below several datatypes beginning with "A". These are annotated structures,
-necessary for Promote to communicate key things to Single. In particular, promotion
-of expressions is *not* deterministic, due to the necessity to create unique names
-for lets, cases, and lambdas. So, we put these promotions into an annotated AST
-so that Single can use the right promotions.
--}
-
--- A DExp with let, lambda, and type-signature nodes annotated with their
--- type-level equivalents
-data ADExp = ADVarE Name
-           | ADConE Name
-           | ADLitE Lit
-           | ADAppE ADExp ADExp
-           | ADLamE [Name]         -- type-level names corresponding to term-level ones
-                    DType          -- the promoted lambda
-                    [Name] ADExp
-           | ADCaseE ADExp [ADMatch] DType
-               -- the type is the return type
-           | ADLetE ALetDecEnv ADExp
-           | ADSigE DType          -- the promoted expression
-                    ADExp DType
-
--- A DPat with a pattern-signature node annotated with its type-level equivalent
-data ADPat = ADLitP Lit
-           | ADVarP Name
-           | ADConP Name [DType] [ADPat]
-           | ADTildeP ADPat
-           | ADBangP ADPat
-           | ADSigP DType -- The promoted pattern. Will not contain any wildcards,
-                          -- as per Note [Singling pattern signatures]
-                    ADPat DType
-           | ADWildP
-
-data ADMatch = ADMatch VarPromotions ADPat ADExp
-data ADClause = ADClause VarPromotions
-                         [ADPat] ADExp
-
-data AnnotationFlag = Annotated | Unannotated
-
--- These are used at the type-level exclusively
-type Annotated   = 'Annotated
-type Unannotated = 'Unannotated
-
-type family IfAnn (ann :: AnnotationFlag) (yes :: k) (no :: k) :: k where
-  IfAnn Annotated   yes no = yes
-  IfAnn Unannotated yes no = no
-
-data family LetDecRHS :: AnnotationFlag -> Type
-data instance LetDecRHS Annotated
-  = -- A function definition. Invariant: each ADClause contains at least one
-    -- pattern.
-    AFunction
-      Int -- The number of arrows in the type. As a consequence of the invariant
-          -- above, this is always a positive number.
-      [ADClause]
-
-  | -- A value whose definition is given by the DExp. Invariant: the value is
-    -- not a function (i.e., there are no occurrences of (->) in the value's
-    -- type).
-    AValue
-      ADExp
-data instance LetDecRHS Unannotated = UFunction [DClause]
-                                    | UValue DExp
-
-type ALetDecRHS = LetDecRHS Annotated
-type ULetDecRHS = LetDecRHS Unannotated
-
-data LetDecEnv ann = LetDecEnv
-                   { lde_defns :: OMap Name (LetDecRHS ann)
-                   , lde_types :: OMap Name DType  -- type signatures
-                   , lde_infix :: OMap Name Fixity -- infix declarations
-                   , lde_proms :: IfAnn ann (OMap Name DType) () -- possibly, promotions
-                   }
-type ALetDecEnv = LetDecEnv Annotated
-type ULetDecEnv = LetDecEnv Unannotated
-
-instance Semigroup ULetDecEnv where
-  LetDecEnv defns1 types1 infx1 _ <> LetDecEnv defns2 types2 infx2 _ =
-    LetDecEnv (defns1 <> defns2) (types1 <> types2) (infx1 <> infx2) ()
-
-instance Monoid ULetDecEnv where
-  mempty = LetDecEnv OMap.empty OMap.empty OMap.empty ()
-
-valueBinding :: Name -> ULetDecRHS -> ULetDecEnv
-valueBinding n v = emptyLetDecEnv { lde_defns = OMap.singleton n v }
-
-typeBinding :: Name -> DType -> ULetDecEnv
-typeBinding n t = emptyLetDecEnv { lde_types = OMap.singleton n t }
-
-infixDecl :: Fixity -> Name -> ULetDecEnv
-infixDecl f n = emptyLetDecEnv { lde_infix = OMap.singleton n f }
-
-emptyLetDecEnv :: ULetDecEnv
-emptyLetDecEnv = mempty
-
-buildLetDecEnv :: Quasi q => [DLetDec] -> q ULetDecEnv
-buildLetDecEnv = go emptyLetDecEnv
-  where
-    go acc [] = return acc
-    go acc (DFunD name clauses : rest) =
-      go (valueBinding name (UFunction clauses) <> acc) rest
-    go acc (DValD (DVarP name) exp : rest) =
-      go (valueBinding name (UValue exp) <> acc) rest
-    go acc (dec@(DValD {}) : rest) = do
-      flattened <- flattenDValD dec
-      go acc (flattened ++ rest)
-    go acc (DSigD name ty : rest) =
-      go (typeBinding name ty <> acc) rest
-    go acc (DInfixD f n : rest) =
-      go (infixDecl f n <> acc) rest
-    go acc (DPragmaD{} : rest) = go acc rest
-
--- See Note [DerivedDecl]
-data DerivedDecl (cls :: Type -> Constraint) = DerivedDecl
-  { ded_mb_cxt     :: Maybe DCxt
-  , ded_type       :: DType
-  , ded_type_tycon :: Name
-  , ded_decl       :: DataDecl
-  }
-
-type DerivedEqDecl   = DerivedDecl Eq
-type DerivedShowDecl = DerivedDecl Show
-
-{- Note [DerivedDecl]
-~~~~~~~~~~~~~~~~~~~~~
-Most derived instances are wholly handled in
-Data.Singletons.TH.Partition.partitionDecs. There are two notable exceptions to
-this rule, however, that are partially handled outside of partitionDecs:
-Eq and Show instances. For these instances, we use a DerivedDecl data type to
-encode just enough information to recreate the derived instance:
-
-1. Just the instance context, if it's standalone-derived, or Nothing if it's in
-   a deriving clause (ded_mb_cxt)
-2. The datatype, applied to some number of type arguments, as in the
-   instance declaration (ded_type)
-3. The datatype name (ded_type_tycon), cached for convenience
-4. The datatype's constructors (ded_cons)
-
-Why are these instances handled outside of partitionDecs?
-
-* Deriving Eq in singletons-th not only derives PEq/SEq instances, but it also
-  derives SDecide, TestEquality, and TestCoercion instances.
-  Data.Singletons.TH.Single (depending on the task at hand).
-* Deriving Show in singletons-th not only derives PShow/SShow instances, but it
-  also derives Show instances for singletons-th types.
-
-To make this work, we let partitionDecs handle the P{Eq,Show} and S{Eq,Show}
-instances, but we also stick the relevant info into a DerivedDecl value for
-later use in Data.Singletons.TH.Single, where we additionally generate
-SDecide, TestEquality, TestCoercion and Show instances for singleton types.
--}
+{-# LANGUAGE DataKinds #-}+{-# LANGUAGE TypeFamilies #-}++{- Data/Singletons/TH/Syntax.hs++(c) Richard Eisenberg 2014+rae@cs.brynmawr.edu++Converts a list of DLetDecs into a LetDecEnv for easier processing,+and contains various other AST definitions.+-}++module Data.Singletons.TH.Syntax where++import Prelude hiding ( exp )+import Data.Kind (Constraint, Type)+import Language.Haskell.TH.Syntax hiding (Type)+import Language.Haskell.TH.Desugar+import qualified Language.Haskell.TH.Desugar.OMap.Strict as OMap+import Language.Haskell.TH.Desugar.OMap.Strict (OMap)+import Language.Haskell.TH.Desugar.OSet (OSet)++type VarPromotions = [(Name, Name)] -- from term-level name to type-level name++-- Information that is accumulated when promoting patterns.+data PromDPatInfos = PromDPatInfos+  { prom_dpat_vars    :: VarPromotions+      -- Maps term-level pattern variables to their promoted, type-level counterparts.+  , prom_dpat_sig_kvs :: OSet Name+      -- Kind variables bound by DSigPas.+      -- See Note [Scoped type variables] in Data.Singletons.TH.Promote.Monad.+  }++instance Semigroup PromDPatInfos where+  PromDPatInfos vars1 sig_kvs1 <> PromDPatInfos vars2 sig_kvs2+    = PromDPatInfos (vars1 <> vars2) (sig_kvs1 <> sig_kvs2)++instance Monoid PromDPatInfos where+  mempty = PromDPatInfos mempty mempty++-- A list of 'SingDSigPaInfos' is produced when singling pattern signatures, as we+-- must case on the 'DExp's and match on them using the supplied 'DType's to+-- bring the necessary singleton equality constraints into scope.+-- See @Note [Singling pattern signatures]@.+type SingDSigPaInfos = [(DExp, DType)]++-- The parts of data declarations that are relevant to singletons-th.+data DataDecl = DataDecl DataFlavor Name [DTyVarBndrVis] [DCon]++-- The parts of type synonyms that are relevant to singletons-th.+data TySynDecl = TySynDecl Name [DTyVarBndrVis] DType++-- The parts of open type families that are relevant to singletons-th.+type OpenTypeFamilyDecl = TypeFamilyDecl 'Open++-- The parts of closed type families that are relevant to singletons-th.+type ClosedTypeFamilyDecl = TypeFamilyDecl 'Closed++-- The parts of type families that are relevant to singletons-th.+newtype TypeFamilyDecl (info :: FamilyInfo)+  = TypeFamilyDecl { getTypeFamilyDecl :: DTypeFamilyHead }+-- Whether a type family is open or closed.+data FamilyInfo = Open | Closed++data ClassDecl ann+  = ClassDecl { cd_cxt  :: DCxt+              , cd_name :: Name+              , cd_tvbs :: [DTyVarBndrVis]+              , cd_fds  :: [FunDep]+              , cd_lde  :: LetDecEnv ann+              , cd_atfs :: [OpenTypeFamilyDecl]+                  -- Associated type families. Only recorded for+                  -- defunctionalization purposes.+                  -- See Note [Partitioning, type synonyms, and type families]+                  -- in D.S.TH.Partition.+              }++data InstDecl  ann = InstDecl { id_cxt     :: DCxt+                              , id_name    :: Name+                              , id_arg_tys :: [DType]+                              , id_sigs    :: OMap Name DType+                              , id_meths   :: [(Name, LetDecRHS ann)] }++type UClassDecl = ClassDecl Unannotated+type UInstDecl  = InstDecl Unannotated++type AClassDecl = ClassDecl Annotated+type AInstDecl  = InstDecl Annotated++{-+We see below several datatypes beginning with "A". These are annotated structures,+necessary for Promote to communicate key things to Single. In particular, promotion+of expressions is *not* deterministic, due to the necessity to create unique names+for lets, cases, and lambdas. So, we put these promotions into an annotated AST+so that Single can use the right promotions.+-}++-- A DExp with let, lambda, and type-signature nodes annotated with their+-- type-level equivalents+data ADExp = ADVarE Name+           | ADConE Name+           | ADLitE Lit+           | ADAppE ADExp ADExp+           | ADLamE [Name]         -- type-level names corresponding to term-level ones+                    DType          -- the promoted lambda+                    [Name] ADExp+           | ADCaseE ADExp [ADMatch] DType+               -- the type is the return type+           | ADLetE ALetDecEnv ADExp+           | ADSigE DType          -- the promoted expression+                    ADExp DType++-- A DPat with a pattern-signature node annotated with its type-level equivalent+data ADPat = ADLitP Lit+           | ADVarP Name+           | ADConP Name [DType] [ADPat]+           | ADTildeP ADPat+           | ADBangP ADPat+           | ADSigP DType -- The promoted pattern. Will not contain any wildcards,+                          -- as per Note [Singling pattern signatures]+                    ADPat DType+           | ADWildP++data ADMatch = ADMatch VarPromotions ADPat ADExp+data ADClause = ADClause VarPromotions+                         [ADPat] ADExp++data AnnotationFlag = Annotated | Unannotated++-- These are used at the type-level exclusively+type Annotated   = 'Annotated+type Unannotated = 'Unannotated++type family IfAnn (ann :: AnnotationFlag) (yes :: k) (no :: k) :: k where+  IfAnn Annotated   yes no = yes+  IfAnn Unannotated yes no = no++data family LetDecRHS :: AnnotationFlag -> Type+data instance LetDecRHS Annotated+  = -- A function definition. Invariant: each ADClause contains at least one+    -- pattern.+    AFunction+      Int -- The number of arrows in the type. As a consequence of the invariant+          -- above, this is always a positive number.+      [ADClause]++  | -- A value whose definition is given by the DExp. Invariant: the value is+    -- not a function (i.e., there are no occurrences of (->) in the value's+    -- type).+    AValue+      ADExp+data instance LetDecRHS Unannotated = UFunction [DClause]+                                    | UValue DExp++type ALetDecRHS = LetDecRHS Annotated+type ULetDecRHS = LetDecRHS Unannotated++data LetDecEnv ann = LetDecEnv+                   { lde_defns :: OMap Name (LetDecRHS ann)+                   , lde_types :: OMap Name DType  -- type signatures+                   , lde_infix :: OMap Name Fixity -- infix declarations+                   , lde_proms :: IfAnn ann (OMap Name DType) () -- possibly, promotions+                   }+type ALetDecEnv = LetDecEnv Annotated+type ULetDecEnv = LetDecEnv Unannotated++instance Semigroup ULetDecEnv where+  LetDecEnv defns1 types1 infx1 _ <> LetDecEnv defns2 types2 infx2 _ =+    LetDecEnv (defns1 <> defns2) (types1 <> types2) (infx1 <> infx2) ()++instance Monoid ULetDecEnv where+  mempty = LetDecEnv OMap.empty OMap.empty OMap.empty ()++valueBinding :: Name -> ULetDecRHS -> ULetDecEnv+valueBinding n v = emptyLetDecEnv { lde_defns = OMap.singleton n v }++typeBinding :: Name -> DType -> ULetDecEnv+typeBinding n t = emptyLetDecEnv { lde_types = OMap.singleton n t }++infixDecl :: Fixity -> Name -> ULetDecEnv+infixDecl f n = emptyLetDecEnv { lde_infix = OMap.singleton n f }++emptyLetDecEnv :: ULetDecEnv+emptyLetDecEnv = mempty++buildLetDecEnv :: Quasi q => [DLetDec] -> q ULetDecEnv+buildLetDecEnv = go emptyLetDecEnv+  where+    go acc [] = return acc+    go acc (DFunD name clauses : rest) =+      go (valueBinding name (UFunction clauses) <> acc) rest+    go acc (DValD (DVarP name) exp : rest) =+      go (valueBinding name (UValue exp) <> acc) rest+    go acc (dec@(DValD {}) : rest) = do+      flattened <- flattenDValD dec+      go acc (flattened ++ rest)+    go acc (DSigD name ty : rest) =+      go (typeBinding name ty <> acc) rest+    go acc (DInfixD f n : rest) =+      go (infixDecl f n <> acc) rest+    go acc (DPragmaD{} : rest) = go acc rest++-- See Note [DerivedDecl]+data DerivedDecl (cls :: Type -> Constraint) = DerivedDecl+  { ded_mb_cxt     :: Maybe DCxt+  , ded_type       :: DType+  , ded_type_tycon :: Name+  , ded_decl       :: DataDecl+  }++type DerivedEqDecl   = DerivedDecl Eq+type DerivedOrdDecl  = DerivedDecl Ord+type DerivedShowDecl = DerivedDecl Show++{- Note [DerivedDecl]+~~~~~~~~~~~~~~~~~~~~~+Most derived instances are wholly handled in+Data.Singletons.TH.Partition.partitionDecs. There are two notable exceptions to+this rule, however, that are partially handled outside of partitionDecs:+Eq and Show instances. For these instances, we use a DerivedDecl data type to+encode just enough information to recreate the derived instance:++1. Just the instance context, if it's standalone-derived, or Nothing if it's in+   a deriving clause (ded_mb_cxt)+2. The datatype, applied to some number of type arguments, as in the+   instance declaration (ded_type)+3. The datatype name (ded_type_tycon), cached for convenience+4. The datatype's constructors (ded_cons)++Why are these instances handled outside of partitionDecs?++* Deriving Eq in singletons-th not only derives PEq/SEq instances, but it also+  derives SDecide, Eq, TestEquality, and TestCoercion instances.+* Deriving Ord in singletons-th not only derives POrd/SOrd instances, but it also+  derives Ord instances for the singleton types themselves.+* Deriving Show in singletons-th not only derives PShow/SShow instances, but it+  also derives Show instances for the singleton types themselves.++To make this work, we let partitionDecs handle the P{Eq,Show} and S{Eq,Show}+instances, but we also stick the relevant info into a DerivedDecl value for+later use in Data.Singletons.TH.Single, where we additionally generate+SDecide, Eq, TestEquality, TestCoercion and Show instances for singleton types.+-}
src/Data/Singletons/TH/Util.hs view
@@ -1,577 +1,697 @@-{-# LANGUAGE LambdaCase #-}
-
-{- Data/Singletons/TH/Util.hs
-
-(c) Richard Eisenberg 2013
-rae@cs.brynmawr.edu
-
-This file contains helper functions internal to the singletons-th package.
-Users of the package should not need to consult this file.
--}
-
-module Data.Singletons.TH.Util where
-
-import Prelude hiding ( exp, foldl, concat, mapM, any, pred )
-import Language.Haskell.TH ( pprint )
-import Language.Haskell.TH.Syntax hiding ( lift )
-import Language.Haskell.TH.Desugar
-import Data.Char
-import Control.Monad ( liftM, unless, when )
-import Control.Monad.Except ( ExceptT, runExceptT, MonadError(..) )
-import Control.Monad.IO.Class ( MonadIO )
-import Control.Monad.Reader ( MonadReader(..), Reader, ReaderT(..) )
-import Control.Monad.Trans ( MonadTrans )
-import Control.Monad.Writer ( MonadWriter(..), WriterT(..), execWriterT )
-import qualified Data.Map as Map
-import Data.Map ( Map )
-import Data.Bifunctor (second)
-import Data.Foldable
-import Data.Functor.Identity
-import Data.Traversable
-import Data.Generics
-import Data.Maybe
-
--- like reportWarning, but generalized to any Quasi
-qReportWarning :: Quasi q => String -> q ()
-qReportWarning = qReport False
-
--- like reportError, but generalized to any Quasi
-qReportError :: Quasi q => String -> q ()
-qReportError = qReport True
-
--- | Generate a new Unique
-qNewUnique :: DsMonad q => q Uniq
-qNewUnique = do
-  Name _ flav <- qNewName "x"
-  case flav of
-    NameU n -> return n
-    _       -> error "Internal error: `qNewName` didn't return a NameU"
-
-checkForRep :: Quasi q => [Name] -> q ()
-checkForRep names =
-  when (any ((== "Rep") . nameBase) names)
-    (fail $ "A data type named <<Rep>> is a special case.\n" ++
-            "Promoting it will not work as expected.\n" ++
-            "Please choose another name for your data type.")
-
-checkForRepInDecls :: Quasi q => [DDec] -> q ()
-checkForRepInDecls decls =
-  checkForRep (allNamesIn decls)
-
-tysOfConFields :: DConFields -> [DType]
-tysOfConFields (DNormalC _ stys) = map snd stys
-tysOfConFields (DRecC vstys)   = map (\(_,_,ty) -> ty) vstys
-
-recSelsOfConFields :: DConFields -> [Name]
-recSelsOfConFields DNormalC{}    = []
-recSelsOfConFields (DRecC vstys) = map (\(n,_,_) -> n) vstys
-
--- Extract a data constructor's name and the number of arguments it accepts.
-extractNameArgs :: DCon -> (Name, Int)
-extractNameArgs (DCon _ _ n fields _) = (n, length (tysOfConFields fields))
-
--- Extract a data constructor's name.
-extractName :: DCon -> Name
-extractName (DCon _ _ n _ _) = n
-
--- Extract the names of a data constructor's record selectors.
-extractRecSelNames :: DCon -> [Name]
-extractRecSelNames (DCon _ _ _ fields _) = recSelsOfConFields fields
-
--- | is a valid Haskell infix data constructor (i.e., does it begin with a colon?)
-isInfixDataCon :: String -> Bool
-isInfixDataCon (':':_) = True
-isInfixDataCon _       = False
-
--- | Is an identifier a legal data constructor name in Haskell? That is, is its
--- first character an uppercase letter (prefix) or a colon (infix)?
-isDataConName :: Name -> Bool
-isDataConName n = let first = head (nameBase n) in isUpper first || first == ':'
-
--- | Is an identifier uppercase?
---
--- Note that this will always return 'False' for infix names, since the concept
--- of upper- and lower-case doesn't make sense for non-alphabetic characters.
--- If you want to check if a name is legal as a data constructor, use the
--- 'isDataConName' function.
-isUpcase :: Name -> Bool
-isUpcase n = let first = head (nameBase n) in isUpper first
-
--- Make an identifier uppercase. If the identifier is infix, this acts as the
--- identity function.
-upcase :: Name -> Name
-upcase = mkName . toUpcaseStr noPrefix
-
--- make an identifier uppercase and return it as a String
-toUpcaseStr :: (String, String)  -- (alpha, symb) prefixes to prepend
-            -> Name -> String
-toUpcaseStr (alpha, symb) n
-  | isHsLetter first
-  = upcase_alpha
-
-  | otherwise
-  = upcase_symb
-
-  where
-    str   = nameBase n
-    first = head str
-
-    upcase_alpha = alpha ++ (toUpper first) : tail str
-    upcase_symb = symb ++ str
-
-noPrefix :: (String, String)
-noPrefix = ("", "")
-
--- Put an uppercase prefix on a constructor name. Takes two prefixes:
--- one for identifiers and one for symbols.
---
--- This is different from 'prefixName' in that infix constructor names always
--- start with a colon, so we must insert the prefix after the colon in order
--- for the new name to be syntactically valid.
-prefixConName :: String -> String -> Name -> Name
-prefixConName pre tyPre n = case (nameBase n) of
-    (':' : rest) -> mkName (':' : tyPre ++ rest)
-    alpha -> mkName (pre ++ alpha)
-
--- Put a prefix on a name. Takes two prefixes: one for identifiers
--- and one for symbols.
-prefixName :: String -> String -> Name -> Name
-prefixName pre tyPre n =
-  let str = nameBase n
-      first = head str in
-    if isHsLetter first
-     then mkName (pre ++ str)
-     else mkName (tyPre ++ str)
-
--- Put a suffix on a name. Takes two suffixes: one for identifiers
--- and one for symbols.
-suffixName :: String -> String -> Name -> Name
-suffixName ident symb n =
-  let str = nameBase n
-      first = head str in
-  if isHsLetter first
-  then mkName (str ++ ident)
-  else mkName (str ++ symb)
-
--- convert a number into both alphanumeric and symoblic forms
-uniquePrefixes :: String   -- alphanumeric prefix
-               -> String   -- symbolic prefix
-               -> Uniq
-               -> (String, String)  -- (alphanum, symbolic)
-uniquePrefixes alpha symb n = (alpha ++ n_str, symb ++ convert n_str)
-  where
-    n_str = show n
-
-    convert [] = []
-    convert (d : ds) =
-      let d' = case d of
-                 '0' -> '!'
-                 '1' -> '#'
-                 '2' -> '$'
-                 '3' -> '%'
-                 '4' -> '&'
-                 '5' -> '*'
-                 '6' -> '+'
-                 '7' -> '.'
-                 '8' -> '/'
-                 '9' -> '>'
-                 _   -> error "non-digit in show #"
-      in d' : convert ds
-
--- extract the kind from a TyVarBndr
-extractTvbKind :: DTyVarBndr flag -> Maybe DKind
-extractTvbKind (DPlainTV _ _)    = Nothing
-extractTvbKind (DKindedTV _ _ k) = Just k
-
--- extract the name from a TyVarBndr.
-extractTvbName :: DTyVarBndr flag -> Name
-extractTvbName (DPlainTV n _)    = n
-extractTvbName (DKindedTV n _ _) = n
-
-tvbToType :: DTyVarBndr flag -> DType
-tvbToType = DVarT . extractTvbName
-
--- If a type variable binder lacks an explicit kind, pick a default kind of
--- Type. Otherwise, leave the binder alone.
-defaultTvbToTypeKind :: DTyVarBndr flag -> DTyVarBndr flag
-defaultTvbToTypeKind (DPlainTV tvname f) = DKindedTV tvname f $ DConT typeKindName
-defaultTvbToTypeKind tvb                 = tvb
-
--- If @Nothing@, return @Type@. If @Just k@, return @k@.
-defaultMaybeToTypeKind :: Maybe DKind -> DKind
-defaultMaybeToTypeKind (Just k) = k
-defaultMaybeToTypeKind Nothing  = DConT typeKindName
-
-inferMaybeKindTV :: Name -> Maybe DKind -> DTyVarBndrUnit
-inferMaybeKindTV n Nothing  = DPlainTV n ()
-inferMaybeKindTV n (Just k) = DKindedTV n () k
-
-resultSigToMaybeKind :: DFamilyResultSig -> Maybe DKind
-resultSigToMaybeKind DNoSig                        = Nothing
-resultSigToMaybeKind (DKindSig k)                  = Just k
-resultSigToMaybeKind (DTyVarSig DPlainTV{})        = Nothing
-resultSigToMaybeKind (DTyVarSig (DKindedTV _ _ k)) = Just k
-
-maybeKindToResultSig :: Maybe DKind -> DFamilyResultSig
-maybeKindToResultSig = maybe DNoSig DKindSig
-
-maybeSigT :: DType -> Maybe DKind -> DType
-maybeSigT ty Nothing   = ty
-maybeSigT ty (Just ki) = ty `DSigT` ki
-
--- Reconstruct a vanilla function type from its individual type variable
--- binders, constraints, argument types, and result type. (See
--- Note [Vanilla-type validity checking during promotion] in
--- Data.Singletons.TH.Promote.Type for what "vanilla" means.)
-ravelVanillaDType :: [DTyVarBndrSpec] -> DCxt -> [DType] -> DType -> DType
-ravelVanillaDType tvbs ctxt args res =
-  ifNonEmpty tvbs (DForallT . DForallInvis) $
-  ifNonEmpty ctxt DConstrainedT $
-  go args
-  where
-    ifNonEmpty :: [a] -> ([a] -> b -> b) -> b -> b
-    ifNonEmpty [] _ z = z
-    ifNonEmpty l  f z = f l z
-
-    go :: [DType] -> DType
-    go []    = res
-    go (h:t) = DAppT (DAppT DArrowT h) (go t)
-
--- Decompose a vanilla function type into its type variables, its context, its
--- argument types, and its result type. (See
--- Note [Vanilla-type validity checking during promotion] in
--- Data.Singletons.TH.Promote.Type for what "vanilla" means.)
--- If a non-vanilla construct is encountered while decomposing the function
--- type, an error is thrown monadically.
---
--- This should be contrasted with the 'unravelDType' function from
--- @th-desugar@, which supports the full gamut of function types. @singletons-th@
--- only supports a subset of these types, which is why this function is used
--- to decompose them instead.
-unravelVanillaDType :: forall m. MonadFail m
-                    => DType -> m ([DTyVarBndrSpec], DCxt, [DType], DType)
-unravelVanillaDType ty =
-  case unravelVanillaDType_either ty of
-    Left err      -> fail err
-    Right payload -> pure payload
-
--- Ensures that a 'DType' is a vanilla type. (See
--- Note [Vanilla-type validity checking during promotion] in
--- Data.Singletons.TH.Promote.Type for what "vanilla" means.)
---
--- The only monadic thing that this function can do is 'fail', which it does
--- if a non-vanilla construct is encountered.
-checkVanillaDType :: forall m. MonadFail m => DType -> m ()
-checkVanillaDType ty =
-  case unravelVanillaDType_either ty of
-    Left err -> fail err
-    Right _  -> pure ()
-
--- The workhorse that powers unravelVanillaDType and checkVanillaDType.
--- Returns @Right payload@ upon success, and @Left error_msg@ upon failure.
-unravelVanillaDType_either ::
-  DType -> Either String ([DTyVarBndrSpec], DCxt, [DType], DType)
-unravelVanillaDType_either ty =
-  runIdentity $ flip runReaderT True $ runExceptT $ runUnravelM $ go_ty ty
-  where
-    go_ty :: DType -> UnravelM ([DTyVarBndrSpec], DCxt, [DType], DType)
-    go_ty typ = do
-      let (args1, res) = unravelDType typ
-      (args2, tvbs) <- take_tvbs  args1
-      (args3, ctxt) <- take_ctxt  args2
-      anons         <- take_anons args3
-      pure (tvbs, ctxt, anons, res)
-
-    -- Process a type in a higher-order position (e.g., the @forall a. a -> a@ in
-    -- @(forall a. a -> a) -> b -> b@). This is only done to check for the
-    -- presence of higher-rank foralls or constraints, which are not permitted
-    -- in vanilla types.
-    go_higher_order_ty :: DType -> UnravelM ()
-    go_higher_order_ty typ = () <$ local (const False) (go_ty typ)
-
-    take_tvbs :: DFunArgs -> UnravelM (DFunArgs, [DTyVarBndrSpec])
-    take_tvbs (DFAForalls (DForallInvis tvbs) args) = do
-      rank_1 <- ask
-      unless rank_1 $ fail_forall "higher-rank"
-      _ <- traverse_ (traverse_ go_higher_order_ty . extractTvbKind) tvbs
-      (args', tvbs') <- take_tvbs args
-      pure (args', tvbs ++ tvbs')
-    take_tvbs (DFAForalls DForallVis{} _) = fail_vdq
-    take_tvbs args = pure (args, [])
-
-    take_ctxt :: DFunArgs -> UnravelM (DFunArgs, DCxt)
-    take_ctxt (DFACxt ctxt args) = do
-      rank_1 <- ask
-      unless rank_1 $ fail_ctxt "higher-rank"
-      traverse_ go_higher_order_ty ctxt
-      (args', ctxt') <- take_ctxt args
-      pure (args', ctxt ++ ctxt')
-    take_ctxt (DFAForalls tele _) =
-      case tele of
-        DForallInvis{} -> fail_forall "nested"
-        DForallVis{}   -> fail_vdq
-    take_ctxt args = pure (args, [])
-
-    take_anons :: DFunArgs -> UnravelM [DType]
-    take_anons (DFAAnon anon args) = do
-      go_higher_order_ty anon
-      anons <- take_anons args
-      pure (anon:anons)
-    take_anons (DFAForalls tele _) =
-      case tele of
-        DForallInvis{} -> fail_forall "nested"
-        DForallVis{}   -> fail_vdq
-    take_anons (DFACxt _ _) = fail_ctxt "nested"
-    take_anons DFANil = pure []
-
-    failWith :: MonadError String m => String -> m a
-    failWith thing = throwError $ unlines
-      [ "`singletons-th` does not support " ++ thing
-      , "In the type: " ++ pprint (sweeten ty)
-      ]
-
-    fail_forall :: MonadError String m => String -> m a
-    fail_forall sort = failWith $ sort ++ " `forall`s"
-
-    fail_vdq :: MonadError String m => m a
-    fail_vdq = failWith "visible dependent quantification"
-
-    fail_ctxt :: MonadError String m => String -> m a
-    fail_ctxt sort = failWith $ sort ++ " contexts"
-
--- The monad that powers the internals of unravelVanillaDType_either.
---
--- * ExceptT String: records the error message upon failure.
---
--- * Reader Bool: True if we are in a rank-1 position in a type, False otherwise
-newtype UnravelM a = UnravelM { runUnravelM :: ExceptT String (Reader Bool) a }
-  deriving (Functor, Applicative, Monad, MonadError String, MonadReader Bool)
-
--- count the number of arguments in a type
-countArgs :: DType -> Int
-countArgs ty = length $ filterDVisFunArgs args
-  where (args, _) = unravelDType ty
-
--- Collect the invisible type variable binders from a sequence of DFunArgs.
-filterInvisTvbArgs :: DFunArgs -> [DTyVarBndrSpec]
-filterInvisTvbArgs DFANil           = []
-filterInvisTvbArgs (DFACxt  _ args) = filterInvisTvbArgs args
-filterInvisTvbArgs (DFAAnon _ args) = filterInvisTvbArgs args
-filterInvisTvbArgs (DFAForalls tele args) =
-  let res = filterInvisTvbArgs args in
-  case tele of
-    DForallVis   _     -> res
-    DForallInvis tvbs' -> tvbs' ++ res
-
--- Infer the kind of a DTyVarBndr by using information from a DVisFunArg.
-replaceTvbKind :: DVisFunArg -> DTyVarBndrUnit -> DTyVarBndrUnit
-replaceTvbKind (DVisFADep tvb) _   = tvb
-replaceTvbKind (DVisFAAnon k)  tvb = DKindedTV (extractTvbName tvb) () k
-
--- changes all TyVars not to be NameU's. Workaround for GHC#11812/#17537/#19743
-noExactTyVars :: Data a => a -> a
-noExactTyVars = everywhere go
-  where
-    go :: Data a => a -> a
-    go = mkT (fix_tvb @Specificity)
-      `extT` fix_tvb @()
-      `extT` fix_ty
-      `extT` fix_inj_ann
-
-    fix_tvb :: Typeable flag => DTyVarBndr flag -> DTyVarBndr flag
-    fix_tvb (DPlainTV n f)    = DPlainTV (noExactName n) f
-    fix_tvb (DKindedTV n f k) = DKindedTV (noExactName n) f k
-
-    fix_ty (DVarT n)           = DVarT (noExactName n)
-    fix_ty ty                  = ty
-
-    fix_inj_ann (InjectivityAnn lhs rhs)
-      = InjectivityAnn (noExactName lhs) (map noExactName rhs)
-
--- changes a Name not to be a NameU. Workaround for GHC#11812/#17537/#19743
-noExactName :: Name -> Name
-noExactName (Name (OccName occ) (NameU unique)) = mkName (occ ++ show unique)
-noExactName n                                   = n
-
-substKind :: Map Name DKind -> DKind -> DKind
-substKind = substType
-
--- | Non–capture-avoiding substitution. (If you want capture-avoiding
--- substitution, use @substTy@ from "Language.Haskell.TH.Desugar.Subst".
-substType :: Map Name DType -> DType -> DType
-substType subst ty | Map.null subst = ty
-substType subst (DForallT tele inner_ty)
-  = DForallT tele' inner_ty'
-  where
-    (subst', tele') = subst_tele subst tele
-    inner_ty'       = substType subst' inner_ty
-substType subst (DConstrainedT cxt inner_ty) =
-  DConstrainedT (map (substType subst) cxt) (substType subst inner_ty)
-substType subst (DAppT ty1 ty2) = substType subst ty1 `DAppT` substType subst ty2
-substType subst (DAppKindT ty ki) = substType subst ty `DAppKindT` substType subst ki
-substType subst (DSigT ty ki) = substType subst ty `DSigT` substType subst ki
-substType subst (DVarT n) =
-  case Map.lookup n subst of
-    Just ki -> ki
-    Nothing -> DVarT n
-substType _ ty@(DConT {}) = ty
-substType _ ty@(DArrowT)  = ty
-substType _ ty@(DLitT {}) = ty
-substType _ ty@DWildCardT = ty
-
-subst_tele :: Map Name DKind -> DForallTelescope -> (Map Name DKind, DForallTelescope)
-subst_tele s (DForallInvis tvbs) = second DForallInvis $ subst_tvbs s tvbs
-subst_tele s (DForallVis   tvbs) = second DForallVis   $ subst_tvbs s tvbs
-
-subst_tvbs :: Map Name DKind -> [DTyVarBndr flag] -> (Map Name DKind, [DTyVarBndr flag])
-subst_tvbs = mapAccumL subst_tvb
-
-subst_tvb :: Map Name DKind -> DTyVarBndr flag -> (Map Name DKind, DTyVarBndr flag)
-subst_tvb s tvb@(DPlainTV n _) = (Map.delete n s, tvb)
-subst_tvb s (DKindedTV n f k)  = (Map.delete n s, DKindedTV n f (substKind s k))
-
-dropTvbKind :: DTyVarBndr flag -> DTyVarBndr flag
-dropTvbKind tvb@(DPlainTV {}) = tvb
-dropTvbKind (DKindedTV n f _) = DPlainTV n f
-
--- apply a type to a list of types
-foldType :: DType -> [DType] -> DType
-foldType = foldl DAppT
-
--- apply a type to a list of type variable binders
-foldTypeTvbs :: DType -> [DTyVarBndr flag] -> DType
-foldTypeTvbs ty = foldType ty . map tvbToType
-
--- Construct a data type's variable binders, possibly using fresh variables
--- from the data type's kind signature.
-buildDataDTvbs :: DsMonad q => [DTyVarBndrUnit] -> Maybe DKind -> q [DTyVarBndrUnit]
-buildDataDTvbs tvbs mk = do
-  extra_tvbs <- mkExtraDKindBinders $ fromMaybe (DConT typeKindName) mk
-  pure $ tvbs ++ extra_tvbs
-
--- apply an expression to a list of expressions
-foldExp :: DExp -> [DExp] -> DExp
-foldExp = foldl DAppE
-
--- choose the first non-empty list
-orIfEmpty :: [a] -> [a] -> [a]
-orIfEmpty [] x = x
-orIfEmpty x  _ = x
-
--- build a pattern match over several expressions, each with only one pattern
-multiCase :: [DExp] -> [DPat] -> DExp -> DExp
-multiCase [] [] body = body
-multiCase scruts pats body =
-  DCaseE (mkTupleDExp scruts) [DMatch (mkTupleDPat pats) body]
-
--- a monad transformer for writing a monoid alongside returning a Q
-newtype QWithAux m q a = QWA { runQWA :: WriterT m q a }
-  deriving ( Functor, Applicative, Monad, MonadTrans
-           , MonadWriter m, MonadReader r
-           , MonadFail, MonadIO, Quasi, DsMonad )
-
--- run a computation with an auxiliary monoid, discarding the monoid result
-evalWithoutAux :: Quasi q => QWithAux m q a -> q a
-evalWithoutAux = liftM fst . runWriterT . runQWA
-
--- run a computation with an auxiliary monoid, returning only the monoid result
-evalForAux :: Quasi q => QWithAux m q a -> q m
-evalForAux = execWriterT . runQWA
-
--- run a computation with an auxiliary monoid, return both the result
--- of the computation and the monoid result
-evalForPair :: QWithAux m q a -> q (a, m)
-evalForPair = runWriterT . runQWA
-
--- in a computation with an auxiliary map, add a binding to the map
-addBinding :: (Quasi q, Ord k) => k -> v -> QWithAux (Map.Map k v) q ()
-addBinding k v = tell (Map.singleton k v)
-
--- in a computation with an auxiliar list, add an element to the list
-addElement :: Quasi q => elt -> QWithAux [elt] q ()
-addElement elt = tell [elt]
-
--- | Call 'lookupTypeNameWithLocals' first to ensure we have a 'Name' in the
--- type namespace, then call 'dsReify'.
-
--- See also Note [Using dsReifyTypeNameInfo when promoting instances]
--- in Data.Singletons.TH.Promote.
-dsReifyTypeNameInfo :: DsMonad q => Name -> q (Maybe DInfo)
-dsReifyTypeNameInfo ty_name = do
-  mb_name <- lookupTypeNameWithLocals (nameBase ty_name)
-  case mb_name of
-    Just n  -> dsReify n
-    Nothing -> pure Nothing
-
--- lift concatMap into a monad
--- could this be more efficient?
-concatMapM :: (Monad monad, Monoid monoid, Traversable t)
-           => (a -> monad monoid) -> t a -> monad monoid
-concatMapM fn list = do
-  bss <- mapM fn list
-  return $ fold bss
-
--- like GHC's
-mapMaybeM :: Monad m => (a -> m (Maybe b)) -> [a] -> m [b]
-mapMaybeM _ [] = return []
-mapMaybeM f (x:xs) = do
-  y <- f x
-  ys <- mapMaybeM f xs
-  return $ case y of
-    Nothing -> ys
-    Just z  -> z : ys
-
--- make a one-element list
-listify :: a -> [a]
-listify = (:[])
-
-fstOf3 :: (a,b,c) -> a
-fstOf3 (a,_,_) = a
-
-liftFst :: (a -> b) -> (a, c) -> (b, c)
-liftFst f (a, c) = (f a, c)
-
-liftSnd :: (a -> b) -> (c, a) -> (c, b)
-liftSnd f (c, a) = (c, f a)
-
-snocView :: [a] -> ([a], a)
-snocView [] = error "snocView nil"
-snocView [x] = ([], x)
-snocView (x : xs) = liftFst (x:) (snocView xs)
-
-partitionWith :: (a -> Either b c) -> [a] -> ([b], [c])
-partitionWith f = go [] []
-  where go bs cs []     = (reverse bs, reverse cs)
-        go bs cs (a:as) =
-          case f a of
-            Left b  -> go (b:bs) cs as
-            Right c -> go bs (c:cs) as
-
-partitionWithM :: Monad m => (a -> m (Either b c)) -> [a] -> m ([b], [c])
-partitionWithM f = go [] []
-  where go bs cs []     = return (reverse bs, reverse cs)
-        go bs cs (a:as) = do
-          fa <- f a
-          case fa of
-            Left b  -> go (b:bs) cs as
-            Right c -> go bs (c:cs) as
-
-partitionLetDecs :: [DDec] -> ([DLetDec], [DDec])
-partitionLetDecs = partitionWith (\case DLetDec ld -> Left ld
-                                        dec        -> Right dec)
-
-{-# INLINEABLE zipWith3M #-}
-zipWith3M :: Monad m => (a -> b -> m c) -> [a] -> [b] -> m [c]
-zipWith3M f (a:as) (b:bs) = (:) <$> f a b <*> zipWith3M f as bs
-zipWith3M _ _ _ = return []
-
-mapAndUnzip3M :: Monad m => (a -> m (b,c,d)) -> [a] -> m ([b],[c],[d])
-mapAndUnzip3M _ []     = return ([],[],[])
-mapAndUnzip3M f (x:xs) = do
-    (r1,  r2,  r3)  <- f x
-    (rs1, rs2, rs3) <- mapAndUnzip3M f xs
-    return (r1:rs1, r2:rs2, r3:rs3)
-
--- is it a letter or underscore?
-isHsLetter :: Char -> Bool
-isHsLetter c = isLetter c || c == '_'
+{-# LANGUAGE LambdaCase #-}++{- Data/Singletons/TH/Util.hs++(c) Richard Eisenberg 2013+rae@cs.brynmawr.edu++This file contains helper functions internal to the singletons-th package.+Users of the package should not need to consult this file.+-}++module Data.Singletons.TH.Util where++import Prelude hiding ( exp, foldl, concat, mapM, any, pred )+import Language.Haskell.TH ( pprint )+import Language.Haskell.TH.Syntax hiding ( lift )+import Language.Haskell.TH.Desugar+import Data.Char+import Control.Monad ( liftM, unless, when )+import Control.Monad.Except ( ExceptT, runExceptT, MonadError(..) )+import Control.Monad.IO.Class ( MonadIO )+import Control.Monad.Reader ( MonadReader(..), Reader, ReaderT(..) )+import Control.Monad.Trans ( MonadTrans )+import Control.Monad.Writer ( MonadWriter(..), WriterT(..), execWriterT )+import qualified Data.Map as Map+import Data.Map ( Map )+import Data.Bifunctor (second)+import Data.Foldable+import Data.Functor.Identity+import Data.Traversable+import Data.Generics+import Data.Maybe++-- like reportWarning, but generalized to any Quasi+qReportWarning :: Quasi q => String -> q ()+qReportWarning = qReport False++-- like reportError, but generalized to any Quasi+qReportError :: Quasi q => String -> q ()+qReportError = qReport True++-- | Generate a new Unique+qNewUnique :: DsMonad q => q Uniq+qNewUnique = do+  Name _ flav <- qNewName "x"+  case flav of+    NameU n -> return n+    _       -> error "Internal error: `qNewName` didn't return a NameU"++checkForRep :: Quasi q => [Name] -> q ()+checkForRep names =+  when (any ((== "Rep") . nameBase) names)+    (fail $ "A data type named <<Rep>> is a special case.\n" +++            "Promoting it will not work as expected.\n" +++            "Please choose another name for your data type.")++checkForRepInDecls :: Quasi q => [DDec] -> q ()+checkForRepInDecls decls =+  checkForRep (allNamesIn decls)++tysOfConFields :: DConFields -> [DType]+tysOfConFields (DNormalC _ stys) = map snd stys+tysOfConFields (DRecC vstys)   = map (\(_,_,ty) -> ty) vstys++recSelsOfConFields :: DConFields -> [Name]+recSelsOfConFields DNormalC{}    = []+recSelsOfConFields (DRecC vstys) = map (\(n,_,_) -> n) vstys++-- Extract a data constructor's name and the number of arguments it accepts.+extractNameArgs :: DCon -> (Name, Int)+extractNameArgs (DCon _ _ n fields _) = (n, length (tysOfConFields fields))++-- Extract a data constructor's name.+extractName :: DCon -> Name+extractName (DCon _ _ n _ _) = n++-- Extract the names of a data constructor's record selectors.+extractRecSelNames :: DCon -> [Name]+extractRecSelNames (DCon _ _ _ fields _) = recSelsOfConFields fields++-- | is a valid Haskell infix data constructor (i.e., does it begin with a colon?)+isInfixDataCon :: String -> Bool+isInfixDataCon (':':_) = True+isInfixDataCon _       = False++-- | Is an identifier a legal data constructor name in Haskell? That is, is its+-- first character an uppercase letter (prefix) or a colon (infix)?+isDataConName :: Name -> Bool+isDataConName n = let first = headNameStr (nameBase n) in isUpper first || first == ':'++-- | Is an identifier uppercase?+--+-- Note that this will always return 'False' for infix names, since the concept+-- of upper- and lower-case doesn't make sense for non-alphabetic characters.+-- If you want to check if a name is legal as a data constructor, use the+-- 'isDataConName' function.+isUpcase :: Name -> Bool+isUpcase n = let first = headNameStr (nameBase n) in isUpper first++-- Make an identifier uppercase. If the identifier is infix, this acts as the+-- identity function.+upcase :: Name -> Name+upcase = mkName . toUpcaseStr noPrefix++-- make an identifier uppercase and return it as a String+toUpcaseStr :: (String, String)  -- (alpha, symb) prefixes to prepend+            -> Name -> String+toUpcaseStr (alpha, symb) n+  | isHsLetter first+  = upcase_alpha++  | otherwise+  = upcase_symb++  where+    str   = nameBase n+    first = headNameStr str++    upcase_alpha = alpha ++ (toUpper first) : tailNameStr str+    upcase_symb = symb ++ str++noPrefix :: (String, String)+noPrefix = ("", "")++-- Put an uppercase prefix on a constructor name. Takes two prefixes:+-- one for identifiers and one for symbols.+--+-- This is different from 'prefixName' in that infix constructor names always+-- start with a colon, so we must insert the prefix after the colon in order+-- for the new name to be syntactically valid.+prefixConName :: String -> String -> Name -> Name+prefixConName pre tyPre n = case (nameBase n) of+    (':' : rest) -> mkName (':' : tyPre ++ rest)+    alpha -> mkName (pre ++ alpha)++-- Put a prefix on a name. Takes two prefixes: one for identifiers+-- and one for symbols.+prefixName :: String -> String -> Name -> Name+prefixName pre tyPre n =+  let str = nameBase n+      first = headNameStr str in+    if isHsLetter first+     then mkName (pre ++ str)+     else mkName (tyPre ++ str)++-- Put a suffix on a name. Takes two suffixes: one for identifiers+-- and one for symbols.+suffixName :: String -> String -> Name -> Name+suffixName ident symb n =+  let str = nameBase n+      first = headNameStr str in+  if isHsLetter first+  then mkName (str ++ ident)+  else mkName (str ++ symb)++-- Return the first character in a Name's string (i.e., nameBase).+-- Precondition: the string is non-empty.+headNameStr :: String -> Char+headNameStr str =+  case str of+    (c:_) -> c+    [] -> error "headNameStr: Expected non-empty string"++-- Drop the first character in a Name's string (i.e., nameBase).+-- Precondition: the string is non-empty.+tailNameStr :: String -> String+tailNameStr str =+  case str of+    (_:cs) -> cs+    [] -> error "tailNameStr: Expected non-empty string"++-- convert a number into both alphanumeric and symoblic forms+uniquePrefixes :: String   -- alphanumeric prefix+               -> String   -- symbolic prefix+               -> Uniq+               -> (String, String)  -- (alphanum, symbolic)+uniquePrefixes alpha symb n = (alpha ++ n_str, symb ++ convert n_str)+  where+    n_str = show n++    convert [] = []+    convert (d : ds) =+      let d' = case d of+                 '0' -> '!'+                 '1' -> '#'+                 '2' -> '$'+                 '3' -> '%'+                 '4' -> '&'+                 '5' -> '*'+                 '6' -> '+'+                 '7' -> '.'+                 '8' -> '/'+                 '9' -> '>'+                 _   -> error "non-digit in show #"+      in d' : convert ds++-- extract the kind from a TyVarBndr+extractTvbKind :: DTyVarBndr flag -> Maybe DKind+extractTvbKind (DPlainTV _ _)    = Nothing+extractTvbKind (DKindedTV _ _ k) = Just k++-- extract the name from a TyVarBndr.+extractTvbName :: DTyVarBndr flag -> Name+extractTvbName (DPlainTV n _)    = n+extractTvbName (DKindedTV n _ _) = n++-- extract the flag from a TyVarBndr.+extractTvbFlag :: DTyVarBndr flag -> flag+extractTvbFlag (DPlainTV _ f)    = f+extractTvbFlag (DKindedTV _ f _) = f++-- Map over the 'Name' of a 'DTyVarBndr'.+mapDTVName :: (Name -> Name) -> DTyVarBndr flag -> DTyVarBndr flag+mapDTVName f (DPlainTV name flag) = DPlainTV (f name) flag+mapDTVName f (DKindedTV name flag kind) = DKindedTV (f name) flag kind++-- Map over the 'DKind' of a 'DTyVarBndr'.+mapDTVKind :: (DKind -> DKind) -> DTyVarBndr flag -> DTyVarBndr flag+mapDTVKind _ tvb@(DPlainTV{}) = tvb+mapDTVKind f (DKindedTV name flag kind) = DKindedTV name flag (f kind)++tvbToType :: DTyVarBndr flag -> DType+tvbToType = DVarT . extractTvbName++-- If a type variable binder lacks an explicit kind, pick a default kind of+-- Type. Otherwise, leave the binder alone.+defaultTvbToTypeKind :: DTyVarBndr flag -> DTyVarBndr flag+defaultTvbToTypeKind (DPlainTV tvname f) = DKindedTV tvname f $ DConT typeKindName+defaultTvbToTypeKind tvb                 = tvb++-- If @Nothing@, return @Type@. If @Just k@, return @k@.+defaultMaybeToTypeKind :: Maybe DKind -> DKind+defaultMaybeToTypeKind (Just k) = k+defaultMaybeToTypeKind Nothing  = DConT typeKindName++inferMaybeKindTV :: Name -> Maybe DKind -> DTyVarBndrUnit+inferMaybeKindTV n Nothing  = DPlainTV n ()+inferMaybeKindTV n (Just k) = DKindedTV n () k++resultSigToMaybeKind :: DFamilyResultSig -> Maybe DKind+resultSigToMaybeKind DNoSig                        = Nothing+resultSigToMaybeKind (DKindSig k)                  = Just k+resultSigToMaybeKind (DTyVarSig DPlainTV{})        = Nothing+resultSigToMaybeKind (DTyVarSig (DKindedTV _ _ k)) = Just k++maybeKindToResultSig :: Maybe DKind -> DFamilyResultSig+maybeKindToResultSig = maybe DNoSig DKindSig++maybeSigT :: DType -> Maybe DKind -> DType+maybeSigT ty Nothing   = ty+maybeSigT ty (Just ki) = ty `DSigT` ki++-- Reconstruct a vanilla function type from its individual type variable+-- binders, constraints, argument types, and result type. (See+-- Note [Vanilla-type validity checking during promotion] in+-- Data.Singletons.TH.Promote.Type for what "vanilla" means.)+ravelVanillaDType :: [DTyVarBndrSpec] -> DCxt -> [DType] -> DType -> DType+ravelVanillaDType tvbs ctxt args res =+  ifNonEmpty tvbs (DForallT . DForallInvis) $+  ifNonEmpty ctxt DConstrainedT $+  go args+  where+    ifNonEmpty :: [a] -> ([a] -> b -> b) -> b -> b+    ifNonEmpty [] _ z = z+    ifNonEmpty l  f z = f l z++    go :: [DType] -> DType+    go []    = res+    go (h:t) = DAppT (DAppT DArrowT h) (go t)++-- Decompose a vanilla function type into its type variables, its context, its+-- argument types, and its result type. (See+-- Note [Vanilla-type validity checking during promotion] in+-- Data.Singletons.TH.Promote.Type for what "vanilla" means.)+-- If a non-vanilla construct is encountered while decomposing the function+-- type, an error is thrown monadically.+--+-- This should be contrasted with the 'unravelDType' function from+-- @th-desugar@, which supports the full gamut of function types. @singletons-th@+-- only supports a subset of these types, which is why this function is used+-- to decompose them instead.+unravelVanillaDType :: forall m. MonadFail m+                    => DType -> m ([DTyVarBndrSpec], DCxt, [DType], DType)+unravelVanillaDType ty =+  case unravelVanillaDType_either ty of+    Left err      -> fail err+    Right payload -> pure payload++-- Ensures that a 'DType' is a vanilla type. (See+-- Note [Vanilla-type validity checking during promotion] in+-- Data.Singletons.TH.Promote.Type for what "vanilla" means.)+--+-- The only monadic thing that this function can do is 'fail', which it does+-- if a non-vanilla construct is encountered.+checkVanillaDType :: forall m. MonadFail m => DType -> m ()+checkVanillaDType ty =+  case unravelVanillaDType_either ty of+    Left err -> fail err+    Right _  -> pure ()++-- The workhorse that powers unravelVanillaDType and checkVanillaDType.+-- Returns @Right payload@ upon success, and @Left error_msg@ upon failure.+unravelVanillaDType_either ::+  DType -> Either String ([DTyVarBndrSpec], DCxt, [DType], DType)+unravelVanillaDType_either ty =+  runIdentity $ flip runReaderT True $ runExceptT $ runUnravelM $ go_ty ty+  where+    go_ty :: DType -> UnravelM ([DTyVarBndrSpec], DCxt, [DType], DType)+    go_ty typ = do+      let (args1, res) = unravelDType typ+      (args2, tvbs) <- take_tvbs  args1+      (args3, ctxt) <- take_ctxt  args2+      anons         <- take_anons args3+      pure (tvbs, ctxt, anons, res)++    -- Process a type in a higher-order position (e.g., the @forall a. a -> a@ in+    -- @(forall a. a -> a) -> b -> b@). This is only done to check for the+    -- presence of higher-rank foralls or constraints, which are not permitted+    -- in vanilla types.+    go_higher_order_ty :: DType -> UnravelM ()+    go_higher_order_ty typ = () <$ local (const False) (go_ty typ)++    take_tvbs :: DFunArgs -> UnravelM (DFunArgs, [DTyVarBndrSpec])+    take_tvbs (DFAForalls (DForallInvis tvbs) args) = do+      rank_1 <- ask+      unless rank_1 $ fail_forall "higher-rank"+      _ <- traverse_ (traverse_ go_higher_order_ty . extractTvbKind) tvbs+      (args', tvbs') <- take_tvbs args+      pure (args', tvbs ++ tvbs')+    take_tvbs (DFAForalls DForallVis{} _) = fail_vdq+    take_tvbs args = pure (args, [])++    take_ctxt :: DFunArgs -> UnravelM (DFunArgs, DCxt)+    take_ctxt (DFACxt ctxt args) = do+      rank_1 <- ask+      unless rank_1 $ fail_ctxt "higher-rank"+      traverse_ go_higher_order_ty ctxt+      (args', ctxt') <- take_ctxt args+      pure (args', ctxt ++ ctxt')+    take_ctxt (DFAForalls tele _) =+      case tele of+        DForallInvis{} -> fail_forall "nested"+        DForallVis{}   -> fail_vdq+    take_ctxt args = pure (args, [])++    take_anons :: DFunArgs -> UnravelM [DType]+    take_anons (DFAAnon anon args) = do+      go_higher_order_ty anon+      anons <- take_anons args+      pure (anon:anons)+    take_anons (DFAForalls tele _) =+      case tele of+        DForallInvis{} -> fail_forall "nested"+        DForallVis{}   -> fail_vdq+    take_anons (DFACxt _ _) = fail_ctxt "nested"+    take_anons DFANil = pure []++    failWith :: MonadError String m => String -> m a+    failWith thing = throwError $ unlines+      [ "`singletons-th` does not support " ++ thing+      , "In the type: " ++ pprint (sweeten ty)+      ]++    fail_forall :: MonadError String m => String -> m a+    fail_forall sort = failWith $ sort ++ " `forall`s"++    fail_vdq :: MonadError String m => m a+    fail_vdq = failWith "visible dependent quantification"++    fail_ctxt :: MonadError String m => String -> m a+    fail_ctxt sort = failWith $ sort ++ " contexts"++-- The monad that powers the internals of unravelVanillaDType_either.+--+-- * ExceptT String: records the error message upon failure.+--+-- * Reader Bool: True if we are in a rank-1 position in a type, False otherwise+newtype UnravelM a = UnravelM { runUnravelM :: ExceptT String (Reader Bool) a }+  deriving (Functor, Applicative, Monad, MonadError String, MonadReader Bool)++-- count the number of arguments in a type+countArgs :: DType -> Int+countArgs ty = length $ filterDVisFunArgs args+  where (args, _) = unravelDType ty++-- Collect the invisible type variable binders from a sequence of DFunArgs.+filterInvisTvbArgs :: DFunArgs -> [DTyVarBndrSpec]+filterInvisTvbArgs DFANil           = []+filterInvisTvbArgs (DFACxt  _ args) = filterInvisTvbArgs args+filterInvisTvbArgs (DFAAnon _ args) = filterInvisTvbArgs args+filterInvisTvbArgs (DFAForalls tele args) =+  let res = filterInvisTvbArgs args in+  case tele of+    DForallVis   _     -> res+    DForallInvis tvbs' -> tvbs' ++ res++-- Change all unique Names with a NameU or NameL namespace to non-unique Names+-- by performing a syb-based traversal. See Note [Pitfalls of NameU/NameL] for+-- why this is useful.+noExactTyVars :: Data a => a -> a+noExactTyVars = everywhere go+  where+    go :: Data a => a -> a+    go = mkT (fix_tvb @Specificity)+      `extT` fix_tvb @()+      `extT` fix_tvb @BndrVis+      `extT` fix_ty+      `extT` fix_inj_ann++    fix_tvb :: Typeable flag => DTyVarBndr flag -> DTyVarBndr flag+    fix_tvb (DPlainTV n f)    = DPlainTV (noExactName n) f+    fix_tvb (DKindedTV n f k) = DKindedTV (noExactName n) f k++    fix_ty (DVarT n)           = DVarT (noExactName n)+    fix_ty ty                  = ty++    fix_inj_ann (InjectivityAnn lhs rhs)+      = InjectivityAnn (noExactName lhs) (map noExactName rhs)++-- Changes a unique Name with a NameU or NameL namespace to a non-unique Name.+-- See Note [Pitfalls of NameU/NameL] for why this is useful.+noExactName :: Name -> Name+noExactName n@(Name (OccName occ) ns) =+  case ns of+    NameU unique -> mk_name unique+    NameL unique -> mk_name unique+    _            -> n+  where+    mk_name unique = mkName (occ ++ show unique)++{-+Note [Pitfalls of NameU/NameL]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+Most of the Names used in singletons-th come from reified or quoted Template+Haskell definitions. Because these definitions have passed through GHC's+renamer, they have unique Names with unique a NameU/NameL namespace. For the+sake of convenience, we often reuse these Names in the definitions that we+generate. For example, if singletons-th is given a declaration+`f :: forall a_123. a_123 -> a_123`, it will produce a standalone kind signature+`type F :: forall a_123. a_123 -> a_123`, reusing the unique Name `a_123`.++While reusing unique Names is convenient, it does have a downside. In+particular, GHC can sometimes get confused when the same unique Name is reused+in distinct type variable scopes. In the best case, this can lead to confusing+type errors, but in the worst case, it can cause GHC to panic, as seen in the+following issues (all of which were first observed in singletons-th):++* https://gitlab.haskell.org/ghc/ghc/-/issues/11812+* https://gitlab.haskell.org/ghc/ghc/-/issues/17537+* https://gitlab.haskell.org/ghc/ghc/-/issues/19743++This is pretty terrible. Arguably, we are abusing Template Haskell here, since+GHC likely assumes the invariant that each unique Name only has a single+binding site. On the other hand, rearchitecting singletons-th to uphold this+invariant would require a substantial amount of work.++A far easier solution is to identify any problematic areas where unique Names+are reused and work around the issue by changing unique Names to non-unique+Names. The issues above all have a common theme: they arise when unique Names+are reused in the type variable binders of a data type or type family+declaration. For instance, when promoting a function like this:++  f :: forall a_123. a_123 -> a_123+  f x_456 = g+    where+      g = x_456++We must promote `f` and `g` to something like this:++    type F :: forall a_123. a_123 -> a_123+    type family F (arg :: a_123) :: a_123 where+      F x_456 = G x_456++    type family LetG x_456 where+      LetG x_456 = x_456++This looks sensible enough. But note that we are reusing the same unique Name+`x_456` in three different scopes: once in the equation for `F`, once in the+the equation for `G`, and once more in the type variable binder in+`type family LetG x_456`. The last of these scopes in particular is enough to+confuse GHC in some situations and trigger GHC#11812.++Our workaround is to apply the `noExactName` function to such names, which+converts any Names with NameU/NameL namespaces into non-unique Names with+longer OccNames. For instance, `noExactName x_456` will return a non-unique+Name with the OccName `x456`. We use `noExactName` when generating `LetG` so+that it will instead be:++    type family LetG x456 where+      LetG x_456 = x_456++Here, `x456` is a non-unique Name, and `x_456` is a Unique name. Thankfully,+this is sufficient to work around GHC#11812. There is still some amount of+risk, since we are reusing `x_456` in two different type family equations (one+for `LetG` and one for `F`), but GHC accepts this for now. We prefer to use the+`noExactName` in as few places as possible, as using longer OccNames makes the+Haddocks harder to read, so we will continue to reuse unique Names unless GHC+forces us to behave differently.++In addition to the type family example above, we also make use of `noExactName`+(as well as its cousin, `noExactTyVars`) when generating defunctionalization+symbols, as these also require reusing Unique names in several type family and+data type declarations. See references to this Note in the code for particular+locations where we must apply this workaround.+-}++substKind :: Map Name DKind -> DKind -> DKind+substKind = substType++-- | Non–capture-avoiding substitution. (If you want capture-avoiding+-- substitution, use @substTy@ from "Language.Haskell.TH.Desugar.Subst".+substType :: Map Name DType -> DType -> DType+substType subst ty | Map.null subst = ty+substType subst (DForallT tele inner_ty)+  = DForallT tele' inner_ty'+  where+    (subst', tele') = subst_tele subst tele+    inner_ty'       = substType subst' inner_ty+substType subst (DConstrainedT cxt inner_ty) =+  DConstrainedT (map (substType subst) cxt) (substType subst inner_ty)+substType subst (DAppT ty1 ty2) = substType subst ty1 `DAppT` substType subst ty2+substType subst (DAppKindT ty ki) = substType subst ty `DAppKindT` substType subst ki+substType subst (DSigT ty ki) = substType subst ty `DSigT` substType subst ki+substType subst (DVarT n) =+  case Map.lookup n subst of+    Just ki -> ki+    Nothing -> DVarT n+substType _ ty@(DConT {}) = ty+substType _ ty@(DArrowT)  = ty+substType _ ty@(DLitT {}) = ty+substType _ ty@DWildCardT = ty++subst_tele :: Map Name DKind -> DForallTelescope -> (Map Name DKind, DForallTelescope)+subst_tele s (DForallInvis tvbs) = second DForallInvis $ substTvbs s tvbs+subst_tele s (DForallVis   tvbs) = second DForallVis   $ substTvbs s tvbs++substTvbs :: Map Name DKind -> [DTyVarBndr flag] -> (Map Name DKind, [DTyVarBndr flag])+substTvbs = mapAccumL substTvb++substTvb :: Map Name DKind -> DTyVarBndr flag -> (Map Name DKind, DTyVarBndr flag)+substTvb s tvb@(DPlainTV n _) = (Map.delete n s, tvb)+substTvb s (DKindedTV n f k)  = (Map.delete n s, DKindedTV n f (substKind s k))++substFamilyResultSig :: Map Name DKind -> DFamilyResultSig -> (Map Name DKind, DFamilyResultSig)+substFamilyResultSig s frs@DNoSig      = (s, frs)+substFamilyResultSig s (DKindSig k)    = (s, DKindSig (substKind s k))+substFamilyResultSig s (DTyVarSig tvb) = let (s', tvb') = substTvb s tvb in+                                         (s', DTyVarSig tvb')++dropTvbKind :: DTyVarBndr flag -> DTyVarBndr flag+dropTvbKind tvb@(DPlainTV {}) = tvb+dropTvbKind (DKindedTV n f _) = DPlainTV n f++-- apply a type to a list of types+foldType :: DType -> [DType] -> DType+foldType = foldl DAppT++-- apply a type to a list of type variable binders+foldTypeTvbs :: DType -> [DTyVarBndrVis] -> DType+foldTypeTvbs ty = applyDType ty . map dTyVarBndrVisToDTypeArg++-- Construct a data type's variable binders, possibly using fresh variables+-- from the data type's kind signature. This function is used when constructing+-- a @DataDecl@ to ensure that it has a number of binders equal in length to the+-- number of visible quantifiers (i.e., the number of function arrows plus the+-- number of visible @forall@–bound variables) in the data type's kind.+buildDataDTvbs :: DsMonad q => [DTyVarBndrVis] -> Maybe DKind -> q [DTyVarBndrVis]+buildDataDTvbs tvbs mk = do+  extra_tvbs <- mkExtraDKindBinders $ fromMaybe (DConT typeKindName) mk+  pure $ tvbs ++ extra_tvbs++-- apply an expression to a list of expressions+foldExp :: DExp -> [DExp] -> DExp+foldExp = foldl DAppE++-- choose the first non-empty list+orIfEmpty :: [a] -> [a] -> [a]+orIfEmpty [] x = x+orIfEmpty x  _ = x++-- build a pattern match over several expressions, each with only one pattern+multiCase :: [DExp] -> [DPat] -> DExp -> DExp+multiCase [] [] body = body+multiCase scruts pats body =+  DCaseE (mkTupleDExp scruts) [DMatch (mkTupleDPat pats) body]++-- a monad transformer for writing a monoid alongside returning a Q+newtype QWithAux m q a = QWA { runQWA :: WriterT m q a }+  deriving ( Functor, Applicative, Monad, MonadTrans+           , MonadWriter m, MonadReader r+           , MonadFail, MonadIO, Quasi, DsMonad )++-- run a computation with an auxiliary monoid, discarding the monoid result+evalWithoutAux :: Quasi q => QWithAux m q a -> q a+evalWithoutAux = liftM fst . runWriterT . runQWA++-- run a computation with an auxiliary monoid, returning only the monoid result+evalForAux :: Quasi q => QWithAux m q a -> q m+evalForAux = execWriterT . runQWA++-- run a computation with an auxiliary monoid, return both the result+-- of the computation and the monoid result+evalForPair :: QWithAux m q a -> q (a, m)+evalForPair = runWriterT . runQWA++-- in a computation with an auxiliary map, add a binding to the map+addBinding :: (Quasi q, Ord k) => k -> v -> QWithAux (Map.Map k v) q ()+addBinding k v = tell (Map.singleton k v)++-- in a computation with an auxiliar list, add an element to the list+addElement :: Quasi q => elt -> QWithAux [elt] q ()+addElement elt = tell [elt]++-- | Call 'lookupTypeNameWithLocals' first to ensure we have a 'Name' in the+-- type namespace, then call 'dsReify'.++-- See also Note [Using dsReifyTypeNameInfo when promoting instances]+-- in Data.Singletons.TH.Promote.+dsReifyTypeNameInfo :: DsMonad q => Name -> q (Maybe DInfo)+dsReifyTypeNameInfo ty_name = do+  mb_name <- lookupTypeNameWithLocals (nameBase ty_name)+  case mb_name of+    Just n  -> dsReify n+    Nothing -> pure Nothing++-- lift concatMap into a monad+-- could this be more efficient?+concatMapM :: (Monad monad, Monoid monoid, Traversable t)+           => (a -> monad monoid) -> t a -> monad monoid+concatMapM fn list = do+  bss <- mapM fn list+  return $ fold bss++-- like GHC's+mapMaybeM :: Monad m => (a -> m (Maybe b)) -> [a] -> m [b]+mapMaybeM _ [] = return []+mapMaybeM f (x:xs) = do+  y <- f x+  ys <- mapMaybeM f xs+  return $ case y of+    Nothing -> ys+    Just z  -> z : ys++-- make a one-element list+listify :: a -> [a]+listify = (:[])++fstOf3 :: (a,b,c) -> a+fstOf3 (a,_,_) = a++liftFst :: (a -> b) -> (a, c) -> (b, c)+liftFst f (a, c) = (f a, c)++liftSnd :: (a -> b) -> (c, a) -> (c, b)+liftSnd f (c, a) = (c, f a)++snocView :: [a] -> ([a], a)+snocView [] = error "snocView nil"+snocView [x] = ([], x)+snocView (x : xs) = liftFst (x:) (snocView xs)++partitionWith :: (a -> Either b c) -> [a] -> ([b], [c])+partitionWith f = go [] []+  where go bs cs []     = (reverse bs, reverse cs)+        go bs cs (a:as) =+          case f a of+            Left b  -> go (b:bs) cs as+            Right c -> go bs (c:cs) as++partitionWithM :: Monad m => (a -> m (Either b c)) -> [a] -> m ([b], [c])+partitionWithM f = go [] []+  where go bs cs []     = return (reverse bs, reverse cs)+        go bs cs (a:as) = do+          fa <- f a+          case fa of+            Left b  -> go (b:bs) cs as+            Right c -> go bs (c:cs) as++partitionLetDecs :: [DDec] -> ([DLetDec], [DDec])+partitionLetDecs = partitionWith (\case DLetDec ld -> Left ld+                                        dec        -> Right dec)++{-# INLINEABLE zipWith3M #-}+zipWith3M :: Monad m => (a -> b -> m c) -> [a] -> [b] -> m [c]+zipWith3M f (a:as) (b:bs) = (:) <$> f a b <*> zipWith3M f as bs+zipWith3M _ _ _ = return []++mapAndUnzip3M :: Monad m => (a -> m (b,c,d)) -> [a] -> m ([b],[c],[d])+mapAndUnzip3M _ []     = return ([],[],[])+mapAndUnzip3M f (x:xs) = do+    (r1,  r2,  r3)  <- f x+    (rs1, rs2, rs3) <- mapAndUnzip3M f xs+    return (r1:rs1, r2:rs2, r3:rs3)++-- is it a letter or underscore?+isHsLetter :: Char -> Bool+isHsLetter c = isLetter c || c == '_'