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refined 0.8.1 → 0.8.2

raw patch · 9 files changed

+2465/−2484 lines, 9 filesdep ~base

Dependency ranges changed: base

Files

LICENSE view
@@ -1,24 +1,24 @@-Copyright © 2015 Nikita Volkov
-Copyright © 2018 Remy Goldschmidt
-Copyright © 2020 chessai
-
-Permission is hereby granted, free of charge, to any person
-obtaining a copy of this software and associated documentation
-files (the "Software"), to deal in the Software without
-restriction, including without limitation the rights to use,
-copy, modify, merge, publish, distribute, sublicense, and/or sell
-copies of the Software, and to permit persons to whom the
-Software is furnished to do so, subject to the following
-conditions:
-
-The above copyright notice and this permission notice shall be
-included in all copies or substantial portions of the Software.
-
-THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
-EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
-OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
-NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
-HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
-WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
-FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
-OTHER DEALINGS IN THE SOFTWARE.
+Copyright © 2015 Nikita Volkov+Copyright © 2018 Remy Goldschmidt+Copyright © 2020 chessai++Permission is hereby granted, free of charge, to any person+obtaining a copy of this software and associated documentation+files (the "Software"), to deal in the Software without+restriction, including without limitation the rights to use,+copy, modify, merge, publish, distribute, sublicense, and/or sell+copies of the Software, and to permit persons to whom the+Software is furnished to do so, subject to the following+conditions:++The above copyright notice and this permission notice shall be+included in all copies or substantial portions of the Software.++THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,+EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES+OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND+NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT+HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,+WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING+FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR+OTHER DEALINGS IN THE SOFTWARE.
README.md view
@@ -1,13 +1,13 @@-# refined
-
-[![Build Status](https://travis-ci.org/nikita-volkov/refined.svg?branch=master)](https://travis-ci.org/nikita-volkov/refined)
-
-In type theory, a refinement type is a type endowed
-with a predicate which is assumed to hold for any element
-of the refined type.
-
-This library allows one to capture the idea of a refinement type
-using the `Refined` type. A `Refined` `p` `x` wraps a value
-of type `x`, ensuring that it satisfies a type-level predicate `p`.
-
-A simple introduction to this library can be found here: http://nikita-volkov.github.io/refined/
+# refined++[![Build Status](https://travis-ci.org/nikita-volkov/refined.svg?branch=master)](https://travis-ci.org/nikita-volkov/refined)++In type theory, a refinement type is a type endowed+with a predicate which is assumed to hold for any element+of the refined type.++This library allows one to capture the idea of a refinement type+using the `Refined` type. A `Refined` `p` `x` wraps a value+of type `x`, ensuring that it satisfies a type-level predicate `p`.++A simple introduction to this library can be found here: http://nikita-volkov.github.io/refined/
changelog.md view
@@ -1,207 +1,207 @@-# Changelog
-All notable changes to this project will be documented in this file.
-
-The format is based on [Keep a Changelog](http://keepachangelog.com/en/1.0.0/)
-and this project adheres to the [Haskell Package Versioning Policy](https://pvp.haskell.org/).
-
-## [0.8.1] - 2023-04-05
-### Added
-- `Weaken` instances for `SizeGreaterThan`, `SizeLessThan`.
-- `weakenAndLeft`, `weakenAndRight`, `weakenOrLeft`, `weakenOrRight`
-  type inference helper functions.
-
-### Changed
-- bump `base`: "< 4.18" -> "< 4.19"
-- bump `mtl`: "< 2.3" -> "< 2.4"
-- bump `template-haskell`: "< 2.20" -> "< 2.21"
-
-## [0.8] - 2022-10-09
-### Changed
-- on GHC >=9, make `refineTH` and `refineTH_` work in any monad
-  `(Quote m, MonadFail m)`.
-- bump `base`: "< 4.17" -> "< 4.18"
-- bump `template-haskell`: "< 2.19" -> "< 2.20"
-- bump `aeson`: "< 2.1" -> "< 2.2"
-
-## [0.7] - 2022-07-01
-### Changed
-- make `Refined` predicate type `p` kind polymorphic (`p :: Type` -> `p :: k`)
-
-## [0.6.3] - 2022-01-14
-### Added
-- `Hashable` instance for `Refined`
-- `FromJSONKey` instance for `Refined`
-- `ToJSONKey` instance for `Refined`
-- `shrink` for `Refined`'s `Arbitrary` instance.
-- `refineEither` function
-
-### Changed
-- improved efficiency of `strengthen`
-- bump multiple dependency upper bounds
-
-## [0.6.2] - 2021-01-31
-### Changed
-- `strengthen` no longer returns an `Either`, since the proof
-  that it should always succeed is in its constraints.
-- correct `success` documentation
-
-## [0.6.1] - 2020-08-02
-### Changed
-- upper bound on QuickCheck: <2.14 -> <2.15
-
-## [0.6] - 2020-07-21
-### Changed
-- `validate` now takes a `Proxy` as its first argument.
-- All uses of prettyprinter are now just `Text`
-
-### Removed
-- Refined.These module
-- Dependency on `prettyprinter`
-
-### Fixed
-- bug in `sized` internal helper that caused formatting issues
-  in sized predicate errors
-
-## [0.5.1] - 2020-07-14
-### Changed
-- `refineTH_` is now implemented in terms of `refineTH`
-- Fix pretty-printing of `RefineException`s during compile-time
-
-## [0.5] - 2020-07-11
-### Added
-- sized Predicate instances for `Text`
-- sized Predicate instances for strict and lazy `ByteString`
-- INLINABLE pragmas on `refine_` `reifyPredicate`
-- `NFData` instance for `Refined`
-- RefineSomeException constructor. Enables recovering
-  specific validation exceptions.
-  Thanks to @haroldcarr for adding this.
-- RefineXorException constructor.
-- `Empty` and `NotEmpty` predicates.
-- `NaN` and `Infinite` predicates for floating-point numbers.
-- @since pragmas to EVERYTHING.
-
-### Changed
-- lower bound on mtl to 2.2.2 due to use of liftEither.
-  Thanks to @k0ral for reporting this
-- Generalize sized predicates
-- Allow newer template-haskell (< 0.16 ==> < 0.17)
-- Allow newer aeson (< 1.5 ==> < 1.6)
-  Thanks to @locallycompact for this change.
-
-### Removed
-- `Refined.Internal` module
-  Thanks to @nikita-volkov for pushing me to do this.
-- Orphan modules
-  Thanks to @symbiont-sam-halliday for pointing out the
-  silliness of these modules.
-- `RefineT`. It was a needless abstraction that just made the
-  library harder to learn and use, providing little benefit
-  over `Maybe RefineException`.
-  Thanks to @nikita-volkov for helping me see the light.
-
-### Deprecated
-- Refined.These module in favour of Data.These from these-skinny
-
-## [0.4.4] - 2019-10-18
-### Added
-- `refine_`
-- `refineTH_`
-- test suite: unit tests for compiling.
-### Changed
-- Allow newer `template-haskell` and `QuickCheck`.
-
-## [0.4.2.3] - 2019-09-17
-### Added
-- `reifyPredicate`
-### Fixed
-- `Arbitrary` instance for `Refined` should now always terminate.
-   Thanks to @symbiont-joseph-kachmar for reporting this.
-
-## [0.4.2.2] - 2019-07-19
-### Added
-- `exceptRefine`, `strengthen`, and `strengthenM`
-
-## [0.4.2.1] - 2019-05-31
-### Fixed
-- Documentation fix for `DivisibleBy`
-### Changed
-- Re-export `DivisibleBy`, `Even`, and `Odd` from module `Refined`.
-- Re-export all constructors from module `Refined`.
-
-## [0.4.2] - 2019-05-30
-### Removed
-- Re-removed dependency of `these` package.
-### Added
-- `Even`, `Odd`, and `DivisibleBy` predicates.
-- doctests for all predicates.
-### Changed
-- Make all predicates unary data constructors, instead of nullary,
-  and export those newly added constructors.
-
-## [0.4.1] - 2019-04-15
-### Fixed
-- Serious regression where `Not p` ~ `p`. Thanks to @k0ral who reported this.
-
-## [0.4] - 2019-03-18
-### Added
-- 'NegativeFromTo', a Predicate that ensures a numeric value is within a range [a,b],
-  where a < 0 and b >= a.
-  Thanks to github.com/futtetennista for this change.
-### Changed
-- `RefinedNotException` now has a child (it should have had one in v2. This was an oversight.)
-- `displayRefineException` no longer uses tabs, instead 2 spaces.
-- make implementation of `displayRefineException` more clear via formatting.
-
-## [0.3.0.0] - 2018-09-26
-### Added
-- Internal module, and Unsafe modules, making sure to take care w.r.t.
-  the scope of coercions related to the use of the 'Refined' constructor.
-- 'IdPred' predicate, predicate that never fails.
-- Generic instances for all predicates.
-- `reallyUnsafeRefine`, `reallyUnsafeUnderlyingRefined`, `reallyUnsafeAllUnderlyingRefined`,
-  functions that allow one to use 'Coercion's to manually prove things about 'Refined'
-  values.
-### Changed
-- Type role of Refined from 'phantom Representational' to 'nominal nominal'.
-  With the old type role, one can use `coerce` to prove `Q x` given any `P x`.
-  The second parameter should also be nominal because of interactions with something
-  like `GreaterThan` and `Data.Ord.Down`.
-  Thanks to David Feuer for pointing this out.
-- Change docs to point users to 'Refined.Unsafe' module instead of recommending
-  'Unsafe.Coerce.unsafeCoerce'.
-- 'Ascending' and 'Descending' predicates now use 'Foldable' instead of 'IsList'.
-- Lowered the lower bound on 'exceptions'; it was too strict for the support window.
-### Removed
-- Dependency of the 'these' package. It brings in some very
-  heavy transitive dependencies, even though the datatype
-  in `refined` is used to the most minimal extent.
-  This is a breaking change because
-  this change is exposed to the end user via 'RefineAndException'.
-  It is exported from a module called 'Refined.These'. Users
-  wishing to interact with such exceptions can either just
-  use the datatype constituting a minimal API there, or depend
-  on the 'these' package.
-
-## [0.2.3.0] - 2018-06-01
-### Added
-- back in the 'Foldable' instance for 'Refined'. It is safe.
-
-## [0.2.2.0] - 2018-05-31
-### Removed
-- Unsafe typeclass instances that could break the 'Refined' invariant.
-  These should not have been added.
-
-## [0.2.1.0] - 2018-05-31
-### Removed
-- Unsafe typeclass instances that could break the 'Refined' invariant.
-  These should not have been added.
-
-## [0.2.0.0] - 2018-05-30
-### Changed
-- Radical rewrite of the library, centred around 'RefineException'
-  and the 'RefineT' monad transformer.
-  'validate' now has the type signature
-  validate :: (Predicate p x, Monad m) => p -> x -> RefineT m ()
-### Added
-- More predicates
+# Changelog+All notable changes to this project will be documented in this file.++The format is based on [Keep a Changelog](http://keepachangelog.com/en/1.0.0/)+and this project adheres to the [Haskell Package Versioning Policy](https://pvp.haskell.org/).++## [0.8.1] - 2023-04-05+### Added+- `Weaken` instances for `SizeGreaterThan`, `SizeLessThan`.+- `weakenAndLeft`, `weakenAndRight`, `weakenOrLeft`, `weakenOrRight`+  type inference helper functions.++### Changed+- bump `base`: "< 4.18" -> "< 4.19"+- bump `mtl`: "< 2.3" -> "< 2.4"+- bump `template-haskell`: "< 2.20" -> "< 2.21"++## [0.8] - 2022-10-09+### Changed+- on GHC >=9, make `refineTH` and `refineTH_` work in any monad+  `(Quote m, MonadFail m)`.+- bump `base`: "< 4.17" -> "< 4.18"+- bump `template-haskell`: "< 2.19" -> "< 2.20"+- bump `aeson`: "< 2.1" -> "< 2.2"++## [0.7] - 2022-07-01+### Changed+- make `Refined` predicate type `p` kind polymorphic (`p :: Type` -> `p :: k`)++## [0.6.3] - 2022-01-14+### Added+- `Hashable` instance for `Refined`+- `FromJSONKey` instance for `Refined`+- `ToJSONKey` instance for `Refined`+- `shrink` for `Refined`'s `Arbitrary` instance.+- `refineEither` function++### Changed+- improved efficiency of `strengthen`+- bump multiple dependency upper bounds++## [0.6.2] - 2021-01-31+### Changed+- `strengthen` no longer returns an `Either`, since the proof+  that it should always succeed is in its constraints.+- correct `success` documentation++## [0.6.1] - 2020-08-02+### Changed+- upper bound on QuickCheck: <2.14 -> <2.15++## [0.6] - 2020-07-21+### Changed+- `validate` now takes a `Proxy` as its first argument.+- All uses of prettyprinter are now just `Text`++### Removed+- Refined.These module+- Dependency on `prettyprinter`++### Fixed+- bug in `sized` internal helper that caused formatting issues+  in sized predicate errors++## [0.5.1] - 2020-07-14+### Changed+- `refineTH_` is now implemented in terms of `refineTH`+- Fix pretty-printing of `RefineException`s during compile-time++## [0.5] - 2020-07-11+### Added+- sized Predicate instances for `Text`+- sized Predicate instances for strict and lazy `ByteString`+- INLINABLE pragmas on `refine_` `reifyPredicate`+- `NFData` instance for `Refined`+- RefineSomeException constructor. Enables recovering+  specific validation exceptions.+  Thanks to @haroldcarr for adding this.+- RefineXorException constructor.+- `Empty` and `NotEmpty` predicates.+- `NaN` and `Infinite` predicates for floating-point numbers.+- @since pragmas to EVERYTHING.++### Changed+- lower bound on mtl to 2.2.2 due to use of liftEither.+  Thanks to @k0ral for reporting this+- Generalize sized predicates+- Allow newer template-haskell (< 0.16 ==> < 0.17)+- Allow newer aeson (< 1.5 ==> < 1.6)+  Thanks to @locallycompact for this change.++### Removed+- `Refined.Internal` module+  Thanks to @nikita-volkov for pushing me to do this.+- Orphan modules+  Thanks to @symbiont-sam-halliday for pointing out the+  silliness of these modules.+- `RefineT`. It was a needless abstraction that just made the+  library harder to learn and use, providing little benefit+  over `Maybe RefineException`.+  Thanks to @nikita-volkov for helping me see the light.++### Deprecated+- Refined.These module in favour of Data.These from these-skinny++## [0.4.4] - 2019-10-18+### Added+- `refine_`+- `refineTH_`+- test suite: unit tests for compiling.+### Changed+- Allow newer `template-haskell` and `QuickCheck`.++## [0.4.2.3] - 2019-09-17+### Added+- `reifyPredicate`+### Fixed+- `Arbitrary` instance for `Refined` should now always terminate.+   Thanks to @symbiont-joseph-kachmar for reporting this.++## [0.4.2.2] - 2019-07-19+### Added+- `exceptRefine`, `strengthen`, and `strengthenM`++## [0.4.2.1] - 2019-05-31+### Fixed+- Documentation fix for `DivisibleBy`+### Changed+- Re-export `DivisibleBy`, `Even`, and `Odd` from module `Refined`.+- Re-export all constructors from module `Refined`.++## [0.4.2] - 2019-05-30+### Removed+- Re-removed dependency of `these` package.+### Added+- `Even`, `Odd`, and `DivisibleBy` predicates.+- doctests for all predicates.+### Changed+- Make all predicates unary data constructors, instead of nullary,+  and export those newly added constructors.++## [0.4.1] - 2019-04-15+### Fixed+- Serious regression where `Not p` ~ `p`. Thanks to @k0ral who reported this.++## [0.4] - 2019-03-18+### Added+- 'NegativeFromTo', a Predicate that ensures a numeric value is within a range [a,b],+  where a < 0 and b >= a.+  Thanks to github.com/futtetennista for this change.+### Changed+- `RefinedNotException` now has a child (it should have had one in v2. This was an oversight.)+- `displayRefineException` no longer uses tabs, instead 2 spaces.+- make implementation of `displayRefineException` more clear via formatting.++## [0.3.0.0] - 2018-09-26+### Added+- Internal module, and Unsafe modules, making sure to take care w.r.t.+  the scope of coercions related to the use of the 'Refined' constructor.+- 'IdPred' predicate, predicate that never fails.+- Generic instances for all predicates.+- `reallyUnsafeRefine`, `reallyUnsafeUnderlyingRefined`, `reallyUnsafeAllUnderlyingRefined`,+  functions that allow one to use 'Coercion's to manually prove things about 'Refined'+  values.+### Changed+- Type role of Refined from 'phantom Representational' to 'nominal nominal'.+  With the old type role, one can use `coerce` to prove `Q x` given any `P x`.+  The second parameter should also be nominal because of interactions with something+  like `GreaterThan` and `Data.Ord.Down`.+  Thanks to David Feuer for pointing this out.+- Change docs to point users to 'Refined.Unsafe' module instead of recommending+  'Unsafe.Coerce.unsafeCoerce'.+- 'Ascending' and 'Descending' predicates now use 'Foldable' instead of 'IsList'.+- Lowered the lower bound on 'exceptions'; it was too strict for the support window.+### Removed+- Dependency of the 'these' package. It brings in some very+  heavy transitive dependencies, even though the datatype+  in `refined` is used to the most minimal extent.+  This is a breaking change because+  this change is exposed to the end user via 'RefineAndException'.+  It is exported from a module called 'Refined.These'. Users+  wishing to interact with such exceptions can either just+  use the datatype constituting a minimal API there, or depend+  on the 'these' package.++## [0.2.3.0] - 2018-06-01+### Added+- back in the 'Foldable' instance for 'Refined'. It is safe.++## [0.2.2.0] - 2018-05-31+### Removed+- Unsafe typeclass instances that could break the 'Refined' invariant.+  These should not have been added.++## [0.2.1.0] - 2018-05-31+### Removed+- Unsafe typeclass instances that could break the 'Refined' invariant.+  These should not have been added.++## [0.2.0.0] - 2018-05-30+### Changed+- Radical rewrite of the library, centred around 'RefineException'+  and the 'RefineT' monad transformer.+  'validate' now has the type signature+  validate :: (Predicate p x, Monad m) => p -> x -> RefineT m ()+### Added+- More predicates
refined.cabal view
@@ -1,128 +1,109 @@-cabal-version: 2.0
-name:
-  refined
-version:
-  0.8.1
-synopsis:
-  Refinement types with static and runtime checking
-description:
-  For an extensive introduction to the library please follow to
-  <http://nikita-volkov.github.io/refined this blog-post>.
-category:
-  Data
-homepage:
-  https://github.com/nikita-volkov/refined
-bug-reports:
-  https://github.com/nikita-volkov/refined/issues
-author:
-  Nikita Volkov <nikita.y.volkov@mail.ru>
-maintainer:
-  chessai <chessai1996@gmail.com>
-copyright:
-  Copyright © 2015, Nikita Volkov
-  Copyright © 2018, Remy Goldschmidt
-  Copyright © 2020, chessai
-license:
-  MIT
-license-file:
-  LICENSE
-build-type:
-  Simple
-tested-with:
-    GHC == 8.4.4
-  , GHC == 8.6.5
-  , GHC == 8.8.5
-  , GHC == 8.10.7
-  , GHC == 9.0.2
-  , GHC == 9.2.4
-  , GHC == 9.4.2
-  , GHC == 9.6.1
-extra-source-files:
-    README.md
-  , changelog.md
-
-flag aeson
-  description:
-    You can disable the use of the `aeson` package using `-f-aeson`.
-    .
-    This may be useful for accelerating builds in sandboxes for expert users.
-  default: True
-  manual: True
-
-flag QuickCheck
-  description:
-    You can disable the use of the `QuickCheck` package using `-f-QuickCheck`.
-    .
-    This may be useful for accelerating builds in sandboxes for expert users.
-  default: True
-  manual: True
-
-source-repository head
-  type:
-    git
-  location:
-    git://github.com/nikita-volkov/refined.git
-
-library
-  hs-source-dirs:
-    src
-  exposed-modules:
-    Refined
-    Refined.Unsafe
-      Refined.Unsafe.Type
-  default-language:
-    Haskell2010
-  build-depends:
-      base             >= 4.11 && < 4.19
-    , bytestring       >= 0.10 && < 0.12
-    , deepseq          >= 1.4 && < 1.5
-    , exceptions       >= 0.8 && < 0.11
-    , hashable         >= 1.0 && < 1.5
-    , mtl              >= 2.2.2 && < 2.4
-    , template-haskell >= 2.9 && < 2.21
-    , text             >= 1.2 && < 2.1
-    , these-skinny     >= 0.7.5 && < 0.8
-  if flag(aeson)
-    build-depends: aeson >= 0.9 && < 2.2
-    cpp-options: -DHAVE_AESON
-  if flag(QuickCheck)
-    build-depends: QuickCheck >= 2.1 && < 2.15
-    cpp-options: -DHAVE_QUICKCHECK
-
---test-suite doctest
---  type: exitcode-stdio-1.0
---  hs-source-dirs: test
---  main-is: Doctests.hs
---  build-depends:
---      base
---    , refined
---    , doctest >= 0.10
---  default-language: Haskell2010
-
-test-suite arbitrary
-  type: exitcode-stdio-1.0
-  hs-source-dirs: test
-  main-is: QuickCheck.hs
-  build-depends:
-      base
-    , refined
-    , QuickCheck
-  default-language: Haskell2010
-
-test-suite compiles
-  type: exitcode-stdio-1.0
-  hs-source-dirs: test
-  main-is: Compiles.hs
-  build-depends:
-      base
-    , refined
-  default-language: Haskell2010
-
---test-suite doesnt-compile
---   type: exitcode-stdio-1.0
---   hs-source-dirs: test
---   main-is: DoesntCompile.hs
---   build-depends:
---       base
---     , refined
---   default-language: Haskell2010
+cabal-version: 3.0+name:+  refined+version:+  0.8.2+synopsis:+  Refinement types with static and runtime checking+description:+  For an extensive introduction to the library please follow to+  <http://nikita-volkov.github.io/refined this blog-post>.+category:+  Data+homepage:+  https://github.com/nikita-volkov/refined+bug-reports:+  https://github.com/nikita-volkov/refined/issues+author:+  Nikita Volkov <nikita.y.volkov@mail.ru>+maintainer:+  chessai <chessai1996@gmail.com>+copyright:+  Copyright © 2015, Nikita Volkov+  Copyright © 2018, Remy Goldschmidt+  Copyright © 2020, chessai+license:+  MIT+license-file:+  LICENSE+build-type:+  Simple+tested-with:+    GHC == 8.4.4+  , GHC == 8.6.5+  , GHC == 8.8.5+  , GHC == 8.10.7+  , GHC == 9.0.2+  , GHC == 9.2.4+  , GHC == 9.4.2+  , GHC == 9.6.1+extra-source-files:+    README.md+  , changelog.md++flag aeson+  description:+    You can disable the use of the `aeson` package using `-f-aeson`.+    .+    This may be useful for accelerating builds in sandboxes for expert users.+  default: True+  manual: True++flag QuickCheck+  description:+    You can disable the use of the `QuickCheck` package using `-f-QuickCheck`.+    .+    This may be useful for accelerating builds in sandboxes for expert users.+  default: True+  manual: True++source-repository head+  type:+    git+  location:+    git://github.com/nikita-volkov/refined.git++library+  hs-source-dirs:+    src+  exposed-modules:+    Refined+    Refined.Unsafe+      Refined.Unsafe.Type+  default-language:+    Haskell2010+  build-depends:+    , base             >= 4.11 && < 5+    , bytestring       >= 0.10+    , deepseq          >= 1.4+    , exceptions       >= 0.8+    , hashable         >= 1.0+    , mtl              >= 2.2.2+    , template-haskell >= 2.9+    , text             >= 1.2+    , these-skinny     >= 0.7.5+  if flag(aeson)+    build-depends: aeson >= 0.9+    cpp-options: -DHAVE_AESON+  if flag(QuickCheck)+    build-depends: QuickCheck >= 2.1+    cpp-options: -DHAVE_QUICKCHECK++test-suite arbitrary+  type: exitcode-stdio-1.0+  hs-source-dirs: test+  main-is: QuickCheck.hs+  build-depends:+      base+    , refined+    , QuickCheck+  default-language: Haskell2010++test-suite compiles+  type: exitcode-stdio-1.0+  hs-source-dirs: test+  main-is: Compiles.hs+  build-depends:+      base+    , refined+  default-language: Haskell2010
src/Refined.hs view
@@ -1,1778 +1,1778 @@---------------------------------------------------------------------------------
-
--- Copyright © 2015 Nikita Volkov
--- Copyright © 2018 Remy Goldschmidt
--- Copyright © 2020 chessai
---
--- Permission is hereby granted, free of charge, to any person
--- obtaining a copy of this software and associated documentation
--- files (the "Software"), to deal in the Software without
--- restriction, including without limitation the rights to use,
--- copy, modify, merge, publish, distribute, sublicense, and/or sell
--- copies of the Software, and to permit persons to whom the
--- Software is furnished to do so, subject to the following
--- conditions:
---
--- The above copyright notice and this permission notice shall be
--- included in all copies or substantial portions of the Software.
---
--- THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
--- EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
--- OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
--- NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
--- HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
--- WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
--- FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
--- OTHER DEALINGS IN THE SOFTWARE.
-
---------------------------------------------------------------------------------
-
-{-# OPTIONS_GHC -Wall                        #-}
-{-# OPTIONS_GHC -fno-warn-orphans            #-}
-{-# OPTIONS_GHC -funbox-strict-fields        #-}
-
---------------------------------------------------------------------------------
-
-{-# LANGUAGE AllowAmbiguousTypes        #-}
-{-# LANGUAGE BangPatterns               #-}
-{-# LANGUAGE CPP                        #-}
-{-# LANGUAGE DataKinds                  #-}
-{-# LANGUAGE DeriveGeneric              #-}
-{-# LANGUAGE FlexibleContexts           #-}
-{-# LANGUAGE FlexibleInstances          #-}
-{-# LANGUAGE LambdaCase                 #-}
-{-# LANGUAGE MagicHash                  #-}
-{-# LANGUAGE MultiParamTypeClasses      #-}
-{-# LANGUAGE OverloadedStrings          #-}
-{-# LANGUAGE PackageImports             #-}
-{-# LANGUAGE PolyKinds                  #-}
-{-# LANGUAGE RoleAnnotations            #-}
-{-# LANGUAGE ScopedTypeVariables        #-}
-{-# LANGUAGE TemplateHaskellQuotes      #-}
-{-# LANGUAGE TypeApplications           #-}
-{-# LANGUAGE TypeFamilies               #-}
-{-# LANGUAGE TypeOperators              #-}
-{-# LANGUAGE UndecidableInstances       #-}
-
---------------------------------------------------------------------------------
-
--- | In type theory, a refinement type is a type endowed
---   with a predicate which is assumed to hold for any element
---   of the refined type.
---
---   This library allows one to capture the idea of a refinement type
---   using the 'Refined' type. A 'Refined' @p@ @x@ wraps a value
---   of type @x@, ensuring that it satisfies a type-level predicate @p@.
---
---   A simple introduction to this library can be found here: http://nikita-volkov.github.io/refined/
---
-module Refined
-  ( -- * 'Refined' type
-    Refined
-
-    -- ** Creation
-  , refine
-  , refine_
-  , refineThrow
-  , refineFail
-  , refineError
-  , refineEither
-  , refineTH
-  , refineTH_
-
-    -- ** Consumption
-  , unrefine
-
-    -- * 'Predicate'
-  , Predicate (validate)
-  , reifyPredicate
-
-    -- * Logical predicates
-  , Not(..)
-  , And(..)
-  , type (&&)
-  , Or(..)
-  , type (||)
-  , Xor(..)
-
-    -- * Identity predicate
-  , IdPred(..)
-
-    -- * Numeric predicates
-  , LessThan(..)
-  , GreaterThan(..)
-  , From(..)
-  , To(..)
-  , FromTo(..)
-  , NegativeFromTo(..)
-  , EqualTo(..)
-  , NotEqualTo(..)
-  , Odd(..)
-  , Even(..)
-  , DivisibleBy(..)
-  , NaN(..)
-  , Infinite(..)
-  , Positive
-  , NonPositive
-  , Negative
-  , NonNegative
-  , ZeroToOne
-  , NonZero
-
-    -- * Foldable predicates
-    -- ** Size predicates
-  , SizeLessThan(..)
-  , SizeGreaterThan(..)
-  , SizeEqualTo(..)
-  , Empty
-  , NonEmpty
-    -- ** Ordering predicates
-  , Ascending(..)
-  , Descending(..)
-
-    -- * Weakening
-  , Weaken (weaken)
-  , andLeft
-  , andRight
-  , leftOr
-  , rightOr
-  , weakenAndLeft
-  , weakenAndRight
-  , weakenOrLeft
-  , weakenOrRight
-
-    -- * Strengthening
-  , strengthen
-
-    -- * Error handling
-
-    -- ** 'RefineException'
-  , RefineException
-    ( RefineNotException
-    , RefineAndException
-    , RefineOrException
-    , RefineXorException
-    , RefineOtherException
-    , RefineSomeException
-    )
-  , displayRefineException
-
-    -- ** 'validate' helpers
-  , throwRefineOtherException
-  , throwRefineSomeException
-  , success
- ) where
-
---------------------------------------------------------------------------------
-
-import           Control.Exception            (Exception (displayException))
-import           Data.Coerce                  (coerce)
-import           Data.Either                  (isRight, rights)
-import           Data.Foldable                (foldl')
-import           Data.Functor.Contravariant   ((>$<))
-import           Data.Proxy                   (Proxy(Proxy))
-import           Data.Text                    (Text)
-import qualified Data.Text                    as Text
-import qualified Data.Text.Lazy               as TextLazy
-import qualified Data.Text.Lazy.Builder       as TextBuilder
-import qualified Data.Text.Lazy.Builder.Int   as TextBuilder
-import qualified Data.ByteString              as BS
-import qualified Data.ByteString.Lazy         as BL
-import           Data.Typeable                (TypeRep, Typeable, typeRep)
-
-import           Control.Monad.Catch          (MonadThrow, SomeException)
-import qualified Control.Monad.Catch          as MonadThrow
-import           Control.Monad.Error.Class    (MonadError)
-import qualified Control.Monad.Error.Class    as MonadError
-#if !MIN_VERSION_base(4,13,0)
-import           Control.Monad.Fail           (MonadFail, fail)
-import           Prelude                      hiding (fail)
-#endif
-
-import           GHC.Exts                     (Proxy#, proxy#)
-import           GHC.Generics                 (Generic, Generic1)
-import           GHC.TypeLits                 (type (<=), KnownNat, Nat, natVal')
-
-import           Refined.Unsafe.Type          (Refined(Refined))
-
-import qualified Language.Haskell.TH.Syntax   as TH
-
-#if HAVE_AESON
-import           Control.Monad    ((<=<))
-import           Data.Aeson       (FromJSON, FromJSONKey, ToJSON, ToJSONKey)
-import qualified Data.Aeson    as Aeson
-#endif
-
-#if HAVE_QUICKCHECK
-import           Test.QuickCheck  (Arbitrary, Gen)
-import qualified Test.QuickCheck  as QC
-import           Data.Typeable    (showsTypeRep)
-#endif
-
-import "these-skinny" Data.These                   (These(This,That,These))
-
---------------------------------------------------------------------------------
-
--- $setup
---
--- Doctest imports
---
--- >>> :set -XDataKinds
--- >>> :set -XOverloadedStrings
--- >>> :set -XTypeApplications
--- >>> import Data.Int
--- >>> import Data.Either (isLeft)
---
-
---------------------------------------------------------------------------------
-
-infixl 0 |>
-infixl 9 .>
-
--- | Helper function, stolen from the flow package.
-(|>) :: a -> (a -> b) -> b
-x |> f = apply x f
-{-# INLINE (|>) #-}
-
--- | Helper function, stolen from the flow package.
-(.>) :: (a -> b) -> (b -> c) -> a -> c
-f .> g = compose f g
-{-# INLINE (.>) #-}
-
--- | Helper function, stolen from the flow package.
-apply :: a -> (a -> b) -> b
-apply x f = f x
-
--- | Helper function, stolen from the flow package.
-compose :: (a -> b) -> (b -> c) -> (a -> c)
-compose f g x = g (f x)
-
--- | FIXME: doc
-data Ordered a = Empty | Decreasing a | Increasing a
-
--- | FIXME: doc
-inc :: Ordered a -> Bool
-inc (Decreasing _) = False
-inc _              = True
-{-# INLINE inc #-}
-
--- | FIXME: doc
-dec :: Ordered a -> Bool
-dec (Increasing _) = False
-dec _              = True
-{-# INLINE dec #-}
-
-increasing :: (Foldable t, Ord a) => t a -> Bool
-increasing = inc . foldl' go Empty where
-  go Empty y = Increasing y
-  go (Decreasing x) _ = Decreasing x
-  go (Increasing x) y
-    | x <= y = Increasing y
-    | otherwise = Decreasing y
-{-# INLINABLE increasing #-}
-
-decreasing :: (Foldable t, Ord a) => t a -> Bool
-decreasing = dec . foldl' go Empty where
-  go Empty y = Decreasing y
-  go (Increasing x) _ = Increasing x
-  go (Decreasing x) y
-    | x >= y = Decreasing y
-    | otherwise = Increasing y
-{-# INLINABLE decreasing #-}
-
---------------------------------------------------------------------------------
-
--- | This instance makes sure to check the refinement.
---
---   @since 0.1.0.0
-instance (Read x, Predicate p x) => Read (Refined p x) where
-  readsPrec d = readParen (d > 10) $ \r1 -> do
-    ("Refined", r2) <- lex r1
-    (raw,       r3) <- readsPrec 11 r2
-    case refine raw of
-      Right val -> [(val, r3)]
-      Left  _   -> []
-
-#if HAVE_AESON
--- | @since 0.4
-instance (FromJSON a, Predicate p a) => FromJSON (Refined p a) where
-  parseJSON = refineFail <=< Aeson.parseJSON
-
-instance (FromJSONKey a, Predicate p a) => FromJSONKey (Refined p a) where
-  fromJSONKey = case Aeson.fromJSONKey @a of
-    Aeson.FromJSONKeyCoerce -> Aeson.FromJSONKeyTextParser $ refineFail . coerce
-    Aeson.FromJSONKeyText f -> Aeson.FromJSONKeyTextParser $ refineFail . f
-    Aeson.FromJSONKeyTextParser f -> Aeson.FromJSONKeyTextParser $ refineFail <=< f
-    Aeson.FromJSONKeyValue f -> Aeson.FromJSONKeyValue $ refineFail <=< f
-
-  fromJSONKeyList = case Aeson.fromJSONKeyList @a of
-    Aeson.FromJSONKeyText f -> Aeson.FromJSONKeyTextParser $ traverse refineFail . f
-    Aeson.FromJSONKeyTextParser f -> Aeson.FromJSONKeyTextParser $ traverse refineFail <=< f
-    Aeson.FromJSONKeyValue f -> Aeson.FromJSONKeyValue $ traverse refineFail <=< f
-
--- | @since 0.4
-instance (ToJSON a, Predicate p a) => ToJSON (Refined p a) where
-  toJSON = Aeson.toJSON . unrefine
-
--- | @since 0.6.3
-instance (ToJSONKey a, Predicate p a) => ToJSONKey (Refined p a) where
-  toJSONKey = unrefine >$< Aeson.toJSONKey
-  toJSONKeyList = map unrefine >$< Aeson.toJSONKeyList
-#endif /* HAVE_AESON */
-
-#if HAVE_QUICKCHECK
--- | @since 0.4
-instance forall p a. (Arbitrary a, Typeable a, Typeable p, Predicate p a) => Arbitrary (Refined p a) where
-  arbitrary = loop 0 QC.arbitrary
-    where
-      loop :: Int -> Gen a -> Gen (Refined p a)
-      loop !runs gen
-        | runs < 100 = do
-            m <- suchThatRefined gen
-            case m of
-              Just x -> do
-                pure x
-              Nothing -> do
-                loop (runs + 1) gen
-        | otherwise = error (refinedGenError (Proxy @p) (Proxy @a))
-  shrink = rights . map refine . QC.shrink . unrefine
-
-refinedGenError :: (Typeable p, Typeable a)
-  => Proxy p -> Proxy a -> String
-refinedGenError p a = "arbitrary :: Refined ("
-  ++ typeName p
-  ++ ") ("
-  ++ typeName a
-  ++ "): Failed to generate a value that satisfied"
-  ++ " the predicate after 100 tries."
-
-suchThatRefined :: forall p a. (Predicate p a)
-  => Gen a -> Gen (Maybe (Refined p a))
-suchThatRefined gen = do
-  m <- QC.suchThatMaybe gen (reifyPredicate @p @a)
-  case m of
-    Nothing -> pure Nothing
-    Just x -> pure (Just (Refined x))
-
-typeName :: Typeable a => Proxy a -> String
-typeName = flip showsTypeRep "" . typeRep
-#endif /* HAVE_QUICKCHECK */
-
---------------------------------------------------------------------------------
-
--- | A smart constructor of a 'Refined' value.
---   Checks the input value at runtime.
---
---   @since 0.1.0.0
-refine :: forall p x. (Predicate p x) => x -> Either RefineException (Refined p x)
-refine x = maybe (Right (Refined x)) Left (validate (Proxy @p) x)
-{-# INLINABLE refine #-}
-
--- | Like 'refine', but discards the refinement.
---   This _can_ be useful when you only need to validate
---   that some value at runtime satisfies some predicate.
---   See also 'reifyPredicate'.
---
---   @since 0.4.4
-refine_ :: forall p x. (Predicate p x) => x -> Either RefineException x
-refine_ = refine @p @x .> coerce
-{-# INLINABLE refine_ #-}
-
--- | Constructs a 'Refined' value at run-time,
---   calling 'Control.Monad.Catch.throwM' if the value
---   does not satisfy the predicate.
---
---   @since 0.2.0.0
-refineThrow :: (Predicate p x, MonadThrow m) => x -> m (Refined p x)
-refineThrow = refine .> either MonadThrow.throwM pure
-{-# INLINABLE refineThrow #-}
-
--- | Constructs a 'Refined' value at run-time,
---   calling 'Control.Monad.Fail.fail' if the value
---   does not satisfy the predicate.
---
---   @since 0.2.0.0
-refineFail :: (Predicate p x, MonadFail m) => x -> m (Refined p x)
-refineFail = refine .> either (displayException .> fail) pure
-{-# INLINABLE refineFail #-}
-
--- | Constructs a 'Refined' value at run-time,
---   calling 'Control.Monad.Error.throwError' if the value
---   does not satisfy the predicate.
---
---   @since 0.2.0.0
-refineError :: (Predicate p x, MonadError RefineException m)
-            => x -> m (Refined p x)
-refineError = refine .> either MonadError.throwError pure
-{-# INLINABLE refineError #-}
-
--- | Like 'refine', but, when the value doesn't satisfy the predicate, returns
---   a 'Refined' value with the predicate negated, instead of returning
---   'RefineException'.
---
---   >>> isRight (refineEither @Even @Int 42)
---   True
---
---   >>> isLeft (refineEither @Even @Int 43)
---   True
---
-refineEither :: forall p x. (Predicate p x) => x -> Either (Refined (Not p) x) (Refined p x)
-refineEither x =
-  case validate (Proxy @p) x of
-    Nothing -> Right $ Refined x
-    Just _  -> Left  $ Refined x
-{-# INLINABLE refineEither #-}
-
---------------------------------------------------------------------------------
-
--- | Constructs a 'Refined' value at compile-time using @-XTemplateHaskell@.
---
---   For example:
---
---   > $$(refineTH 23) :: Refined Positive Int
---   > Refined 23
---
---   Here's an example of an invalid value:
---
---   > $$(refineTH 0) :: Refined Positive Int
---   > <interactive>:6:4:
---   >     Value is not greater than 0
---   >     In the Template Haskell splice $$(refineTH 0)
---   >     In the expression: $$(refineTH 0) :: Refined Positive Int
---   >     In an equation for ‘it’:
---   >         it = $$(refineTH 0) :: Refined Positive Int
---
---   The example above indicates a compile-time failure,
---   which means that the checking was done at compile-time,
---   thus introducing a zero-runtime overhead compared to
---   a plain value construction.
---
---   /Note/: It may be useful to use this function with the
---   <https://hackage.haskell.org/package/th-lift-instances/ th-lift-instances package>.
---
---   @since 0.1.0.0
-#if MIN_VERSION_template_haskell(2,17,0)
-refineTH :: forall p x m. (Predicate p x, TH.Lift x, TH.Quote m, MonadFail m)
-  => x
-  -> TH.Code m (Refined p x)
-refineTH =
-  let showException = refineExceptionToTree
-        .> showTree True
-        .> fail
-        .> TH.liftCode
-  in refine @p @x
-     .> either showException TH.liftTyped
-#else
-refineTH :: forall p x. (Predicate p x, TH.Lift x)
-  => x
-  -> TH.Q (TH.TExp (Refined p x))
-refineTH =
-  let showException = refineExceptionToTree
-        .> showTree True
-        .> fail
-  in refine @p @x
-     .> either showException TH.lift
-     .> fmap TH.TExp
-#endif
-
--- | Like 'refineTH', but immediately unrefines the value.
---   This is useful when some value need only be refined
---   at compile-time.
---
---   @since 0.4.4
-#if MIN_VERSION_template_haskell(2,17,0)
-refineTH_ :: forall p x m. (Predicate p x, TH.Lift x, TH.Quote m, MonadFail m)
-  => x
-  -> TH.Code m x
-refineTH_ =
-  refineTH @p @x
-  .> TH.examineCode
-  .> fmap unsafeUnrefineTExp
-  .> TH.liftCode
-#else
-refineTH_ :: forall p x. (Predicate p x, TH.Lift x)
-  => x
-  -> TH.Q (TH.TExp x)
-refineTH_ = refineTH @p @x .> fmap unsafeUnrefineTExp
-#endif
-
-unsafeUnrefineTExp :: TH.TExp (Refined p x) -> TH.TExp x
-unsafeUnrefineTExp (TH.TExp e) = TH.TExp
-  (TH.VarE 'unrefine `TH.AppE` e)
-
---------------------------------------------------------------------------------
-
--- | Extracts the refined value.
---
---   @since 0.1.0.0
-unrefine :: Refined p x -> x
-unrefine = coerce
-{-# INLINE unrefine #-}
-
---------------------------------------------------------------------------------
-
--- | A typeclass which defines a runtime interpretation of
---   a type-level predicate @p@ for type @x@.
---
---   @since 0.1.0.0
-class (Typeable p) => Predicate p x where
-  {-# MINIMAL validate #-}
-  -- | Check the value @x@ according to the predicate @p@,
-  --   producing an error 'RefineException' if the value
-  --   does not satisfy.
-  --
-  --   /Note/: 'validate' is not intended to be used
-  --   directly; instead, it is intended to provide the minimal
-  --   means necessary for other utilities to be derived. As
-  --   such, the 'Maybe' here should be interpreted to mean
-  --   the presence or absence of a 'RefineException', and
-  --   nothing else.
-  validate :: Proxy p -> x -> Maybe RefineException
-
---------------------------------------------------------------------------------
-
--- | Reify a 'Predicate' by turning it into a value-level predicate.
---
---   @since 0.4.2.3
-reifyPredicate :: forall p a. Predicate p a => a -> Bool
-reifyPredicate = refine @p @a .> isRight
-{-# INLINABLE reifyPredicate #-}
-
---------------------------------------------------------------------------------
-
--- | A predicate which is satisfied for all types.
---   Arguments passed to @'validate'@ in @'validate' 'IdPred' x@
---   are not evaluated.
---
---   >>> isRight (refine @IdPred @Int undefined)
---   True
---
---   >>> isLeft (refine @IdPred @Int undefined)
---   False
---
---   @since 0.3.0.0
-data IdPred
-  = IdPred -- ^ @since 0.4.2
-  deriving
-    ( Generic -- ^ @since 0.3.0.0
-    )
-
--- | @since 0.3.0.0
-instance Predicate IdPred x where
-  validate _ _ = Nothing
-  {-# INLINE validate #-}
-
---------------------------------------------------------------------------------
-
--- | The negation of a predicate.
---
---   >>> isRight (refine @(Not NonEmpty) @[Int] [])
---   True
---
---   >>> isLeft (refine @(Not NonEmpty) @[Int] [1,2])
---   True
---
---   @since 0.1.0.0
-data Not p
-  = Not -- ^ @since 0.4.2
-  deriving
-    ( Generic -- ^ @since 0.3.0.0
-    , Generic1 -- ^ @since 0.3.0.0
-    )
-
--- | @since 0.1.0.0
-instance (Predicate (p :: k) x, Typeable p, Typeable k) => Predicate (Not p) x where
-  validate p x = do
-    maybe (Just (RefineNotException (typeRep p)))
-          (const Nothing)
-          (validate @p undefined x)
-
---------------------------------------------------------------------------------
-
--- | The conjunction of two predicates.
---
---   >>> isLeft (refine @(And Positive Negative) @Int 3)
---   True
---
---   >>> isRight (refine @(And Positive Odd) @Int 203)
---   True
---
---   @since 0.1.0.0
-data And l r
-  = And -- ^ @since 0.4.2
-  deriving
-    ( Generic -- ^ @since 0.3.0.0
-    , Generic1 -- ^ @since 0.3.0.0
-    )
-
-infixr 3 &&
--- | The conjunction of two predicates.
---
---   @since 0.2.0.0
-type (&&) = And
-
--- | @since 0.1.0.0
-instance ( Predicate (l :: k) x, Predicate (r :: k) x, Typeable l, Typeable r, Typeable k
-         ) => Predicate (And l r) x where
-  validate p x = do
-    let a = validate @l undefined x
-    let b = validate @r undefined x
-    let throw err = Just (RefineAndException (typeRep p) err)
-    case (a, b) of
-      (Just  e, Just e1) -> throw (These e e1)
-      (Just  e,       _) -> throw (This e)
-      (Nothing, Just  e) -> throw (That e)
-      (Nothing, Nothing) -> Nothing
-
---------------------------------------------------------------------------------
-
--- | The disjunction of two predicates.
---
---   >>> isRight (refine @(Or Even Odd) @Int 3)
---   True
---
---   >>> isRight (refine @(Or (LessThan 3) (GreaterThan 3)) @Int 2)
---   True
---
---   >>> isRight (refine @(Or Even Even) @Int 4)
---   True
---
---   @since 0.1.0.0
-data Or l r
-  = Or -- ^ @since 0.4.2
-  deriving
-    ( Generic -- ^ @since 0.3.0.0
-    , Generic1 -- ^ @since 0.3.0.0
-    )
-
-infixr 2 ||
--- | The disjunction of two predicates.
---
---   @since 0.2.0.0
-type (||) = Or
-
--- | @since 0.2.0.0
-instance ( Predicate (l :: k) x, Predicate (r :: k) x, Typeable l, Typeable r, Typeable k
-         ) => Predicate (Or l r) x where
-  validate p x = do
-    let left  = validate @l undefined x
-    let right = validate @r undefined x
-    case (left, right) of
-      (Just l, Just r) -> Just (RefineOrException (typeRep p) l r)
-      _                -> Nothing
-
---------------------------------------------------------------------------------
-
--- | The exclusive disjunction of two predicates.
---
---
---   >>> isRight (refine @(Xor Even Odd) @Int 3)
---   True
---
---   >>> isLeft (refine @(Xor (LessThan 3) (EqualTo 2)) @Int 2)
---   True
---
---   >>> isLeft (refine @(Xor Even Even) @Int 2)
---   True
---
---   @since 0.5
-data Xor l r
-  = Xor -- ^ @since 0.5
-  deriving
-    ( Generic -- ^ @since 0.5
-    , Generic1 -- ^ @since 0.5
-    )
-
--- not provided because it clashes with GHC.TypeLits.^
--- infixr 8 ^
--- The exclusive disjunction of two predicates.
--- type (^) = Xor
-
--- | @since 0.5
-instance ( Predicate (l :: k) x, Predicate (r :: k) x, Typeable l, Typeable r, Typeable k
-         ) => Predicate (Xor l r) x where
-  validate p x = do
-    let left = validate @l undefined x
-    let right = validate @r undefined x
-    case (left, right) of
-      (Nothing, Nothing) -> Just (RefineXorException (typeRep p) Nothing)
-      (Just  l, Just  r) -> Just (RefineXorException (typeRep p) (Just (l, r)))
-      _ -> Nothing
-
---------------------------------------------------------------------------------
-
--- | A 'Predicate' ensuring that the value has a length
--- which is less than the specified type-level number.
---
---   >>> isRight (refine @(SizeLessThan 4) @[Int] [1,2,3])
---   True
---
---   >>> isLeft (refine @(SizeLessThan 5) @[Int] [1,2,3,4,5])
---   True
---
---   >>> isRight (refine @(SizeLessThan 4) @Text "Hi")
---   True
---
---   >>> isLeft (refine @(SizeLessThan 4) @Text "Hello")
---   True
---
---   @since 0.2.0.0
-data SizeLessThan (n :: Nat)
-  = SizeLessThan -- ^ @since 0.4.2
-  deriving
-    ( Generic -- ^ @since 0.3.0.0
-    )
-
--- | @since 0.2.0.0
-instance (Foldable t, KnownNat n) => Predicate (SizeLessThan n) (t a) where
-  validate p x = sized p (x, "Foldable") length ((<), "less than")
--- | @since 0.5
-instance (KnownNat n) => Predicate (SizeLessThan n) Text where
-  validate p x = sized p (x, "Text") Text.length ((<), "less than")
-
--- | @since 0.5
-instance (KnownNat n) => Predicate (SizeLessThan n) BS.ByteString where
-  validate p x = sized p (x, "ByteString") BS.length ((<), "less than")
-
--- | @since 0.5
-instance (KnownNat n) => Predicate (SizeLessThan n) BL.ByteString where
-  validate p x = sized p (x, "ByteString") (fromIntegral . BL.length) ((<), "less than")
-
---------------------------------------------------------------------------------
-
--- | A 'Predicate' ensuring that the value has a length
--- which is greater than the specified type-level number.
---
---   >>> isLeft (refine  @(SizeGreaterThan 3) @[Int] [1,2,3])
---   True
---
---   >>> isRight (refine @(SizeGreaterThan 3) @[Int] [1,2,3,4,5])
---   True
---
---   >>> isLeft (refine @(SizeGreaterThan 4) @Text "Hi")
---   True
---
---   >>> isRight (refine @(SizeGreaterThan 4) @Text "Hello")
---   True
---
---   @since 0.2.0.0
-data SizeGreaterThan (n :: Nat)
-  = SizeGreaterThan -- ^ @since 0.4.2
-  deriving
-    ( Generic -- ^ @since 0.3.0.0
-    )
-
--- | @since 0.2.0.0
-instance (Foldable t, KnownNat n) => Predicate (SizeGreaterThan n) (t a) where
-  validate p x = sized p (x, "Foldable") length ((>), "greater than")
-
--- | @since 0.5
-instance (KnownNat n) => Predicate (SizeGreaterThan n) Text where
-  validate p x = sized p (x, "Text") Text.length ((>), "greater than")
-
--- | @since 0.5
-instance (KnownNat n) => Predicate (SizeGreaterThan n) BS.ByteString where
-  validate p x = sized p (x, "ByteString") BS.length ((>), "greater than")
-
--- | @since 0.5
-instance (KnownNat n) => Predicate (SizeGreaterThan n) BL.ByteString where
-  validate p x = sized p (x, "ByteString") (fromIntegral . BL.length) ((>), "greater than")
-
---------------------------------------------------------------------------------
-
--- | A 'Predicate' ensuring that the value has a length
--- which is equal to the specified type-level number.
---
---   >>> isRight (refine @(SizeEqualTo 4) @[Int] [1,2,3,4])
---   True
---
---   >>> isLeft (refine @(SizeEqualTo 35) @[Int] [1,2,3,4])
---   True
---
---   >>> isRight (refine @(SizeEqualTo 4) @Text "four")
---   True
---
---   >>> isLeft (refine @(SizeEqualTo 35) @Text "four")
---   True
---
---   @since 0.2.0.0
-data SizeEqualTo (n :: Nat)
-  = SizeEqualTo -- ^ @since 0.4.2
-  deriving
-    ( Generic -- ^ @since 0.3.0.0
-    )
-
--- | @since 0.2.0.0
-instance (Foldable t, KnownNat n) => Predicate (SizeEqualTo n) (t a) where
-  validate p x = sized p (x, "Foldable") length ((==), "equal to")
-
--- | @since 0.5
-instance (KnownNat n) => Predicate (SizeEqualTo n) Text where
-  validate p x = sized p (x, "Text") Text.length ((==), "equal to")
-
--- | @since 0.5
-instance (KnownNat n) => Predicate (SizeEqualTo n) BS.ByteString where
-  validate p x = sized p (x, "ByteString") BS.length ((==), "equal to")
-
--- | @since 0.5
-instance (KnownNat n) => Predicate (SizeEqualTo n) BL.ByteString where
-  validate p x = sized p (x, "ByteString") (fromIntegral . BL.length) ((==), "equal to")
-
---------------------------------------------------------------------------------
-
--- | A 'Predicate' ensuring that the 'Foldable' contains elements
--- in a strictly ascending order.
---
---   >>> isRight (refine @Ascending @[Int] [5, 8, 13, 21, 34])
---   True
---
---   >>> isLeft (refine @Ascending @[Int] [34, 21, 13, 8, 5])
---   True
---
---   @since 0.2.0.0
-data Ascending
-  = Ascending -- ^ @since 0.4.2
-  deriving
-    ( Generic -- ^ @since 0.3.0.0
-    )
-
--- | @since 0.2.0.0
-instance (Foldable t, Ord a) => Predicate Ascending (t a) where
-  validate p x = do
-    if increasing x
-    then Nothing
-    else throwRefineOtherException
-         (typeRep p)
-         "Foldable is not in ascending order."
-
---------------------------------------------------------------------------------
-
--- | A 'Predicate' ensuring that the 'Foldable' contains elements
--- in a strictly descending order.
---
---   >>> isRight (refine @Descending @[Int] [34, 21, 13, 8, 5])
---   True
---
---   >>> isLeft (refine @Descending @[Int] [5, 8, 13, 21, 34])
---   True
---
---   @since 0.2.0.0
-data Descending
-  = Descending -- ^ @since 0.4.2
-  deriving
-    ( Generic -- ^ @since 0.3.0.0
-    )
-
--- | @since 0.2.0.0
-instance (Foldable t, Ord a) => Predicate Descending (t a) where
-  validate p x = do
-    if decreasing x
-    then Nothing
-    else throwRefineOtherException
-        (typeRep p)
-        "Foldable is not in descending order."
-
---------------------------------------------------------------------------------
-
--- | A 'Predicate' ensuring that the value is less than the
---   specified type-level number.
---
---   >>> isRight (refine @(LessThan 12) @Int 11)
---   True
---
---   >>> isLeft (refine @(LessThan 12) @Int 12)
---   True
---
---   @since 0.1.0.0
-data LessThan (n :: Nat)
-  = LessThan -- ^ @since 0.4.2
-  deriving
-    ( Generic -- ^ @since 0.3.0.0
-    )
-
--- | @since 0.1.0.0
-instance (Ord x, Num x, KnownNat n) => Predicate (LessThan n) x where
-  validate p x = do
-    let n = nv @n
-    let x' = fromIntegral n
-    if x < x'
-    then Nothing
-    else throwRefineOtherException
-         (typeRep p)
-         ("Value is not less than " <> i2text n)
-
---------------------------------------------------------------------------------
-
--- | A 'Predicate' ensuring that the value is greater than the
---   specified type-level number.
---
---   >>> isRight (refine @(GreaterThan 65) @Int 67)
---   True
---
---   >>> isLeft (refine @(GreaterThan 65) @Int 65)
---   True
---
---   @since 0.1.0.0
-data GreaterThan (n :: Nat)
-  = GreaterThan -- ^ @since 0.4.2
-  deriving
-    ( Generic -- ^ @since 0.3.0.0
-    )
-
--- | @since 0.1.0.0
-instance (Ord x, Num x, KnownNat n) => Predicate (GreaterThan n) x where
-  validate p x = do
-    let n = nv @n
-    let x' = fromIntegral n
-    if x > x'
-    then Nothing
-    else throwRefineOtherException
-         (typeRep p)
-         ("Value is not greater than " <> i2text n)
-
---------------------------------------------------------------------------------
-
--- | A 'Predicate' ensuring that the value is greater than or equal to the
---   specified type-level number.
---
---   >>> isRight (refine @(From 9) @Int 10)
---   True
---
---   >>> isRight (refine @(From 10) @Int 10)
---   True
---
---   >>> isLeft (refine @(From 11) @Int 10)
---   True
---
---   @since 0.1.2
-data From (n :: Nat)
-  = From -- ^ @since 0.4.2
-  deriving
-    ( Generic -- ^ @since 0.3.0.0
-    )
-
--- | @since 0.1.2
-instance (Ord x, Num x, KnownNat n) => Predicate (From n) x where
-  validate p x = do
-    let n = nv @n
-    let x' = fromIntegral n
-    if x >= x'
-    then Nothing
-    else throwRefineOtherException
-         (typeRep p)
-         ("Value is less than " <> i2text n)
-
---------------------------------------------------------------------------------
-
--- | A 'Predicate' ensuring that the value is less than or equal to the
---   specified type-level number.
---
---   >>> isRight (refine @(To 23) @Int 17)
---   True
---
---   >>> isLeft (refine @(To 17) @Int 23)
---   True
---
---   @since 0.1.2
-data To (n :: Nat)
-  = To -- ^ @since 0.4.2
-  deriving
-    ( Generic -- ^ @since 0.3.0.0
-    )
-
--- | @since 0.1.2
-instance (Ord x, Num x, KnownNat n) => Predicate (To n) x where
-  validate p x = do
-    let n = nv @n
-    let x' = fromIntegral n
-    if x <= x'
-    then Nothing
-    else throwRefineOtherException
-         (typeRep p)
-         ("Value is greater than " <> i2text n)
-
---------------------------------------------------------------------------------
-
--- | A 'Predicate' ensuring that the value is within an inclusive range.
---
---   >>> isRight (refine @(FromTo 0 16) @Int 13)
---   True
---
---   >>> isRight (refine @(FromTo 13 15) @Int 13)
---   True
---
---   >>> isRight (refine @(FromTo 13 15) @Int 15)
---   True
---
---   >>> isLeft (refine @(FromTo 13 15) @Int 12)
---   True
---
---   @since 0.1.2
-data FromTo (mn :: Nat) (mx :: Nat)
-  = FromTo -- ^ @since 0.4.2
-  deriving
-    ( Generic-- ^ @since 0.3.0.0
-    )
-
--- | @since 0.1.2
-instance ( Ord x, Num x, KnownNat mn, KnownNat mx, mn <= mx
-         ) => Predicate (FromTo mn mx) x where
-  validate p x = do
-    let mn' = nv @mn
-    let mx' = nv @mx
-    if x >= fromIntegral mn' && x <= fromIntegral mx'
-    then Nothing
-    else
-      let msg = [ "Value is out of range (minimum: "
-                , i2text mn'
-                , ", maximum: "
-                , i2text mx'
-                , ")"
-                ] |> mconcat
-      in throwRefineOtherException (typeRep p) msg
-
---------------------------------------------------------------------------------
-
--- | A 'Predicate' ensuring that the value is equal to the specified
---   type-level number @n@.
---
---   >>> isRight (refine @(EqualTo 5) @Int 5)
---   True
---
---   >>> isLeft (refine @(EqualTo 6) @Int 5)
---   True
---
---   @since 0.1.0.0
-data EqualTo (n :: Nat)
-  = EqualTo -- ^ @since 0.4.2
-  deriving
-    ( Generic -- ^ @since 0.3.0.0
-    )
-
--- | @since 0.1.0.0
-instance (Eq x, Num x, KnownNat n) => Predicate (EqualTo n) x where
-  validate p x = do
-    let n = nv @n
-    let x' = fromIntegral n
-    if x == x'
-    then Nothing
-    else throwRefineOtherException
-         (typeRep p)
-         ("Value does not equal " <> i2text n)
-
---------------------------------------------------------------------------------
-
--- | A 'Predicate' ensuring that the value is not equal to the specified
---   type-level number @n@.
---
---   >>> isRight (refine @(NotEqualTo 6) @Int 5)
---   True
---
---   >>> isLeft (refine @(NotEqualTo 5) @Int 5)
---   True
---
---   @since 0.2.0.0
-data NotEqualTo (n :: Nat)
-  = NotEqualTo -- ^ @since 0.4.2
-  deriving
-    ( Generic -- ^ @since 0.3.0.0
-    )
-
--- | @since 0.2.0.0
-instance (Eq x, Num x, KnownNat n) => Predicate (NotEqualTo n) x where
-  validate p x = do
-    let n = nv @n
-    let x' = fromIntegral n
-    if x /= x'
-    then Nothing
-    else throwRefineOtherException
-         (typeRep p)
-         ("Value does equal " <> i2text n)
-
---------------------------------------------------------------------------------
-
--- | A 'Predicate' ensuring that the value is greater or equal than a negative
---   number specified as a type-level (positive) number @n@ and less than a
---   type-level (positive) number @m@.
---
---   >>> isRight (refine @(NegativeFromTo 5 12) @Int (-3))
---   True
---
---   >>> isLeft (refine @(NegativeFromTo 4 3) @Int (-5))
---   True
---
---   @since 0.4
-data NegativeFromTo (n :: Nat) (m :: Nat)
-  = NegativeFromTo -- ^ @since 0.4.2
-  deriving
-    ( Generic -- ^ @since 0.3.0.0
-    )
-
--- | @since 0.4
-instance (Ord x, Num x, KnownNat n, KnownNat m) => Predicate (NegativeFromTo n m) x where
-  validate p x = do
-    let n' = nv @n
-    let m' = nv @m
-    if x >= fromIntegral (negate n') && x <= fromIntegral m'
-    then Nothing
-    else
-      let msg = [ "Value is out of range (minimum: "
-                , i2text (negate n')
-                , ", maximum: "
-                , i2text m'
-                , ")"
-                ] |> mconcat
-      in throwRefineOtherException (typeRep p) msg
-
---------------------------------------------------------------------------------
-
--- | A 'Predicate' ensuring that the value is divisible by @n@.
---
---   >>> isRight (refine @(DivisibleBy 3) @Int 12)
---   True
---
---   >>> isLeft (refine @(DivisibleBy 2) @Int 37)
---   True
---
---   @since 0.4.2
-data DivisibleBy (n :: Nat)
-  = DivisibleBy -- ^ @since 0.4.2
-  deriving
-    ( Generic -- ^ @since 0.3.0.0
-    )
-
--- | @since 0.4.2
-instance (Integral x, KnownNat n) => Predicate (DivisibleBy n) x where
-  validate p x = do
-    let n = nv @n
-    let x' = fromIntegral n
-    if x `mod` x' == 0
-    then Nothing
-    else throwRefineOtherException
-         (typeRep p)
-         ("Value is not divisible by " <> i2text n)
-
---------------------------------------------------------------------------------
-
--- | A 'Predicate' ensuring that the value is odd.
---
---   >>> isRight (refine @Odd @Int 33)
---   True
---
---   >>> isLeft (refine @Odd @Int 32)
---   True
---
---   @since 0.4.2
-data Odd
-  = Odd -- ^ @since 0.4.2
-  deriving
-    ( Generic -- ^ @since 0.3.0.0
-    )
-
--- | @since 0.4.2
-instance (Integral x) => Predicate Odd x where
-  validate p x = do
-    if odd x
-    then Nothing
-    else throwRefineOtherException
-         (typeRep p)
-         "Value is not odd."
-
---------------------------------------------------------------------------------
-
--- | A 'Predicate' ensuring that the value is IEEE "not-a-number" (NaN).
---
---   >>> isRight (refine @NaN @Double (0/0))
---   True
---
---   >>> isLeft (refine @NaN @Double 13.9)
---   True
---
---   @since 0.5
-data NaN
-  = NaN -- ^ @since 0.5
-  deriving
-    ( Generic -- ^ @since 0.5
-    )
-
--- | @since 0.5
-instance (RealFloat x) => Predicate NaN x where
-  validate p x = do
-    if isNaN x
-    then Nothing
-    else throwRefineOtherException
-         (typeRep p)
-         "Value is not IEEE \"not-a-number\" (NaN)."
-
---------------------------------------------------------------------------------
-
--- | A 'Predicate' ensuring that the value is IEEE infinity or negative infinity.
---
---   >>> isRight (refine @Infinite @Double (1/0))
---   True
---
---   >>> isRight (refine @Infinite @Double (-1/0))
---   True
---
---   >>> isLeft (refine @Infinite @Double 13.20)
---   True
---
---   @since 0.5
-data Infinite
-  = Infinite -- ^ @since 0.5
-  deriving
-    ( Generic -- ^ @since 0.5
-    )
-
--- | @since 0.5
-instance (RealFloat x) => Predicate Infinite x where
-  validate p x = do
-    if isInfinite x
-    then Nothing
-    else throwRefineOtherException
-         (typeRep p)
-         "Value is not IEEE infinity or negative infinity."
-
---------------------------------------------------------------------------------
-
--- | A 'Predicate' ensuring that the value is even.
---
---   >>> isRight (refine @Even @Int 32)
---   True
---
---   >>> isLeft (refine @Even @Int 33)
---   True
---
---   @since 0.4.2
-data Even
-  = Even -- ^ @since 0.4.2
-  deriving
-    ( Generic -- ^ @since 0.4.2
-    )
-
--- | @since 0.4.2
-instance (Integral x) => Predicate Even x where
-  validate p x = do
-    if even x
-    then Nothing
-    else throwRefineOtherException
-         (typeRep p)
-         "Value is not even."
-
---------------------------------------------------------------------------------
-
--- | A 'Predicate' ensuring that the value is greater than zero.
---
---   @since 0.1.0.0
-type Positive = GreaterThan 0
-
--- | A 'Predicate' ensuring that the value is less than or equal to zero.
---
---   @since 0.1.2
-type NonPositive = To 0
-
--- | A 'Predicate' ensuring that the value is less than zero.
---
---   @since 0.1.0.0
-type Negative = LessThan 0
-
--- | A 'Predicate' ensuring that the value is greater than or equal to zero.
---
---   @since 0.1.2
-type NonNegative = From 0
-
--- | An inclusive range of values from zero to one.
---
---   @since 0.1.0.0
-type ZeroToOne = FromTo 0 1
-
--- | A 'Predicate' ensuring that the value is not equal to zero.
---
---   @since 0.2.0.0
-type NonZero = NotEqualTo 0
-
--- | A 'Predicate' ensuring that the type is empty.
---
---   @since 0.5
-type Empty = SizeEqualTo 0
-
--- | A 'Predicate' ensuring that the type is non-empty.
---
---   @since 0.2.0.0
-type NonEmpty = SizeGreaterThan 0
-
---------------------------------------------------------------------------------
-
--- | A typeclass containing "safe" conversions between refined
---   predicates where the target is /weaker/ than the source:
---   that is, all values that satisfy the first predicate will
---   be guaranteed to satisfy the second.
---
---   Take care: writing an instance declaration for your custom
---   predicates is the same as an assertion that 'weaken' is
---   safe to use:
---
---   @
---   instance 'Weaken' Pred1 Pred2
---   @
---
---   For most of the instances, explicit type annotations for
---   the result value's type might be required.
---
--- @since 0.2.0.0
-class Weaken from to where
-  -- | @since 0.2.0.0
-  weaken :: Refined from x -> Refined to x
-  weaken = coerce
-
--- | @since 0.2.0.0
-instance (n <= m)         => Weaken (LessThan n)        (LessThan m)
--- | @since 0.2.0.0
-instance (n <= m)         => Weaken (LessThan n)        (To m)
--- | @since 0.2.0.0
-instance (n <= m)         => Weaken (To n)              (To m)
--- | @since 0.2.0.0
-instance (m <= n)         => Weaken (GreaterThan n)     (GreaterThan m)
--- | @since 0.2.0.0
-instance (m <= n)         => Weaken (GreaterThan n)     (From m)
--- | @since 0.2.0.0
-instance (m <= n)         => Weaken (From n)            (From m)
--- | @since 0.2.0.0
-instance (p <= n, m <= q) => Weaken (FromTo n m)        (FromTo p q)
--- | @since 0.2.0.0
-instance (p <= n)         => Weaken (FromTo n m)        (From p)
--- | @since 0.2.0.0
-instance (m <= q)         => Weaken (FromTo n m)        (To q)
--- | @since 0.8.1
-instance (n <= m)         => Weaken (SizeLessThan n)    (SizeLessThan m)
--- | @since 0.8.1
-instance (m <= n)         => Weaken (SizeGreaterThan n) (SizeGreaterThan m)
-
--- | This function helps type inference.
---   It is equivalent to the following:
---
--- @
--- instance Weaken (And l r) l
--- @
---
---   @since 0.2.0.0
-andLeft :: Refined (And l r) x -> Refined l x
-andLeft = coerce
-
--- | This function helps type inference.
---   It is equivalent to the following:
---
--- @
--- instance Weaken (And l r) r
--- @
---
---   @since 0.2.0.0
-andRight :: Refined (And l r) x -> Refined r x
-andRight = coerce
-
--- | This function helps type inference.
---   It is equivalent to the following:
---
--- @
--- instance Weaken l (Or l r)
--- @
---
---   @since 0.2.0.0
-leftOr :: Refined l x -> Refined (Or l r) x
-leftOr = coerce
-
--- | This function helps type inference.
---   It is equivalent to the following:
---
--- @
--- instance Weaken r (Or l r)
--- @
---
---   @since 0.2.0.0
-rightOr :: Refined r x -> Refined (Or l r) x
-rightOr = coerce
-
--- | This function helps type inference.
---   It is equivalent to the following:
---
--- @
--- instance Weaken from to => Weaken (And from x) (And to x)
--- @
---
---   @since 0.8.1.0
-weakenAndLeft :: Weaken from to => Refined (And from x) a -> Refined (And to x) a
-weakenAndLeft = coerce
-
--- | This function helps type inference.
---   It is equivalent to the following:
---
--- @
--- instance Weaken from to => Weaken (And x from) (And x to)
--- @
---
---   @since 0.8.1.0
-weakenAndRight :: Weaken from to => Refined (And x from) a -> Refined (And x to) a
-weakenAndRight = coerce
-
--- | This function helps type inference.
---   It is equivalent to the following:
---
--- @
--- instance Weaken from to => Weaken (Or from x) (Or to x)
--- @
---
---   @since 0.8.1.0
-weakenOrLeft :: Weaken from to => Refined (And from x) a -> Refined (And to x) a
-weakenOrLeft = coerce
-
--- | This function helps type inference.
---   It is equivalent to the following:
---
--- @
--- instance Weaken from to => Weaken (Or x from) (Or x to)
--- @
---
---   @since 0.8.1.0
-weakenOrRight :: Weaken from to => Refined (And x from) a -> Refined (And x to) a
-weakenOrRight = coerce
-
--- | Strengthen a refinement by composing it with another.
---
---   @since 0.4.2.2
-strengthen :: forall p p' x. (Predicate p x, Predicate p' x)
-  => Refined p x
-  -> Either RefineException (Refined (p && p') x)
-strengthen r = do
-  Refined x <- refine @p' @x (unrefine r)
-  pure (Refined x)
-{-# inlineable strengthen #-}
-
---------------------------------------------------------------------------------
-
--- | An exception encoding the way in which a 'Predicate' failed.
---
---   @since 0.2.0.0
-data RefineException
-  = -- | A 'RefineException' for failures involving the 'Not' predicate.
-    --
-    --   @since 0.2.0.0
-    RefineNotException
-    { _RefineException_typeRep   :: !TypeRep
-      -- ^ The 'TypeRep' of the @'Not' p@ type.
-    }
-
-  | -- | A 'RefineException' for failures involving the 'And' predicate.
-    --
-    --   @since 0.2.0.0
-    RefineAndException
-    { _RefineException_typeRep   :: !TypeRep
-      -- ^ The 'TypeRep' of the @'And' l r@ type.
-    , _RefineException_andChild  :: !(These RefineException RefineException)
-      -- ^ A 'These' encoding which branch(es) of the 'And' failed:
-      --   if the 'RefineException' came from the @l@ predicate, then
-      --   this will be 'This', if it came from the @r@ predicate, this
-      --   will be 'That', and if it came from both @l@ and @r@, this
-      --   will be 'These'.
-
-      -- note to self: what am I, Dr. Seuss?
-    }
-
-  | -- | A 'RefineException' for failures involving the 'Or' predicate.
-    --
-    --   @since 0.2.0.0
-    RefineOrException
-    { _RefineException_typeRep   :: !TypeRep
-      -- ^ The 'TypeRep' of the @'Or' l r@ type.
-    , _RefineException_orLChild  :: !RefineException
-      -- ^ The 'RefineException' for the @l@ failure.
-    , _RefineException_orRChild  :: !RefineException
-      -- ^ The 'RefineException' for the @l@ failure.
-    }
-
-  | -- | A 'RefineException' for failures involving the 'Xor' predicate.
-    --
-    --   @since 0.5
-    RefineXorException
-    { _RefineException_typeRep   :: !TypeRep
-    , _RefineException_children  :: !(Maybe (RefineException, RefineException))
-    }
-
-  | -- | A 'RefineException' for failures involving all other predicates with custom exception.
-    --
-    --   @since 0.5
-    RefineSomeException
-    { _RefineException_typeRep   :: !TypeRep
-      -- ^ The 'TypeRep' of the predicate that failed.
-    , _RefineException_Exception :: !SomeException
-      -- ^ A custom exception.
-    }
-
-  | -- | A 'RefineException' for failures involving all other predicates.
-    --
-    --   @since 0.2.0.0
-    RefineOtherException
-    { _RefineException_typeRep   :: !TypeRep
-      -- ^ The 'TypeRep' of the predicate that failed.
-    , _RefineException_message   :: !Text
-      -- ^ A custom message to display.
-    }
-  deriving
-    ( Generic -- ^ @since 0.3.0.0
-    )
-
--- | /Note/: Equivalent to @'displayRefineException'@.
---
---   @since 0.2.0.0
-instance Show RefineException where
-  show = displayRefineException
-
--- | A Tree which is a bit easier to pretty-print
---   TODO: get rid of this
-data ExceptionTree a
-  = NodeNone
-  | NodeSome !TypeRep SomeException
-  | NodeOther !TypeRep !Text
-  | NodeNot !TypeRep
-  | NodeOr !TypeRep [ExceptionTree a]
-  | NodeAnd !TypeRep [ExceptionTree a]
-  | NodeXor !TypeRep [ExceptionTree a]
-
--- | pretty-print an 'ExceptionTree', contains a hack to
---   work differently whether or not you are "inGhc", i.e.
---   inside of refineTH/refineTH_ (because GHC messes with
---   the indentation)
-showTree :: Bool -> ExceptionTree RefineException -> String
-showTree inGhc
-  | inGhc = showOne "" "" ""
-      .> mapOnTail (indent 6)
-      .> unlines
-  | otherwise = showOne "  " "" "" .> unlines
-  where
-    mapOnTail :: (a -> a) -> [a] -> [a]
-    mapOnTail f = \case
-      [] -> []
-      (a : as) -> a : map f as
-
-    indent :: Int -> String -> String
-    indent n s = replicate n ' ' ++ s
-
-    showOne :: String -> String -> String -> ExceptionTree RefineException -> [String]
-    showOne leader tie arm = \case
-      NodeNone ->
-        [
-        ]
-      NodeSome tr e ->
-        [ leader
-          <> arm
-          <> tie
-          <> "The predicate ("
-          <> show tr
-          <> ") failed with the exception: "
-          <> displayException e
-        ]
-      NodeOther tr p ->
-        [ leader
-          <> arm
-          <> tie
-          <> "The predicate ("
-          <> show tr
-          <> ") failed with the message: "
-          <> Text.unpack p
-        ]
-      NodeNot tr ->
-        [ leader
-          <> arm
-          <> tie
-          <> "The predicate ("
-          <> show tr
-          <> ") does not hold"
-        ]
-      NodeOr tr rest -> nodeRep tr : showChildren rest (leader <> extension)
-      NodeAnd tr rest -> nodeRep tr : showChildren rest (leader <> extension)
-      -- can be empty since both can be satisfied
-      NodeXor tr [] ->
-        [ leader
-          <> arm
-          <> tie
-          <> "The predicate ("
-          <> show tr
-          <> ") does not hold, because both predicates were satisfied"
-        ]
-      NodeXor tr rest -> nodeRep tr : showChildren rest (leader <> extension)
-      where
-        nodeRep :: TypeRep -> String
-        -- TODO: make tr bold
-        nodeRep tr = leader <> arm <> tie <> show tr
-
-        extension :: String
-        extension = case arm of
-          ""  -> ""
-          "└" -> "    "
-          _   -> "│   "
-
-    showChildren :: [ExceptionTree RefineException] -> String -> [String]
-    showChildren children leader =
-      let arms = replicate (length children - 1) "├" <> ["└"]
-      in concat (zipWith (showOne leader "── ") arms children)
-
-refineExceptionToTree :: RefineException -> ExceptionTree RefineException
-refineExceptionToTree = go
-  where
-    go = \case
-      RefineSomeException tr e -> NodeSome tr e
-      RefineOtherException tr p -> NodeOther tr p
-      RefineNotException tr -> NodeNot tr
-      RefineOrException tr l r -> NodeOr tr [go l, go r]
-      RefineAndException tr (This l) -> NodeAnd tr [go l]
-      RefineAndException tr (That r) -> NodeAnd tr [go r]
-      RefineAndException tr (These l r) -> NodeAnd tr [go l, go r]
-      RefineXorException tr Nothing -> NodeXor tr []
-      RefineXorException tr (Just (l, r)) -> NodeXor tr [go l, go r]
-
--- | Display a 'RefineException' as @'String'@
---
---   This function can be extremely useful for debugging
---   @'RefineException's@, especially deeply nested ones.
---
---   Consider:
---
---   @
---   myRefinement = refine
---     \@(And
---         (Not (LessThan 5))
---         (Xor
---           (DivisibleBy 10)
---           (And
---             (EqualTo 4)
---             (EqualTo 3)
---           )
---         )
---      )
---     \@Int
---     3
---   @
---
---   This function will show the following tree structure, recursively breaking down
---   every issue:
---
---   @
---   And (Not (LessThan 5)) (Xor (EqualTo 4) (And (EqualTo 4) (EqualTo 3)))
---   ├── The predicate (Not (LessThan 5)) does not hold.
---   └── Xor (DivisibleBy 10) (And (EqualTo 4) (EqualTo 3))
---       ├── The predicate (DivisibleBy 10) failed with the message: Value is not divisible by 10
---       └── And (EqualTo 4) (EqualTo 3)
---           └── The predicate (EqualTo 4) failed with the message: Value does not equal 4
---   @
---
---   /Note/: Equivalent to @'show' \@'RefineException'@
---
---   @since 0.2.0.0
-displayRefineException :: RefineException -> String
-displayRefineException = refineExceptionToTree .> showTree False
-
--- | Encode a 'RefineException' for use with \Control.Exception\.
---
---   /Note/: Equivalent to @'displayRefineException'@.
---
---   @since 0.2.0.0
-instance Exception RefineException where
-  displayException = show
-
---------------------------------------------------------------------------------
-
--- | A handler for a @'RefineException'@.
---
---   'throwRefineOtherException' is useful for defining what
---   behaviour 'validate' should have in the event of a predicate failure.
---
---   Typically the first argument passed to this function
---   will be the result of applying 'typeRep' to the first
---   argument of 'validate'.
---
---   @since 0.2.0.0
-throwRefineOtherException
-  :: TypeRep
-  -- ^ The 'TypeRep' of the 'Predicate'. This can usually be given by using 'typeRep'.
-  -> Text
-  -- ^ A 'PP.Doc' 'Void' encoding a custom error message to be pretty-printed.
-  -> Maybe RefineException
-throwRefineOtherException rep
-  = RefineOtherException rep .> Just
-
--- | A handler for a @'RefineException'@.
---
---   'throwRefineSomeException' is useful for defining what
---   behaviour 'validate' should have in the event of a predicate failure
---   with a specific exception.
---
---   @since 0.5
-throwRefineSomeException
-  :: TypeRep
-  -- ^ The 'TypeRep' of the 'Predicate'. This can usually be given by using 'typeRep'.
-  -> SomeException
-  -- ^ A custom exception.
-  -> Maybe RefineException
-throwRefineSomeException rep
-  = RefineSomeException rep .> Just
-
--- | An implementation of 'validate' that always succeeds.
---
---   ==== __Examples__
---
---   @
---   data ContainsLetterE = ContainsLetterE
---
---   instance Predicate ContainsLetterE 'Text' where
---     validate p t
---       | 'Data.Text.any' (== \'e\') t = 'success'
---       | otherwise = Just $ 'throwRefineException' (typeRep p) "Text doesn't contain letter \'e\'".
---   @
---
---   @since 0.5
-success
-  :: Maybe RefineException
-success
-  = Nothing
-
---------------------------------------------------------------------------------
-
--- | Helper function for sized predicates.
-sized :: forall p n a. (Typeable (p n), KnownNat n)
-  => Proxy (p n)
-     -- ^ predicate
-  -> (a, Text)
-     -- ^ (value, type)
-  -> (a -> Int)
-     -- ^ length of value
-  -> (Int -> Int -> Bool, Text)
-     -- ^ (compare :: Length -> KnownNat -> Bool, comparison string)
-  -> Maybe RefineException
-sized p (x, typ) lenF (cmp, cmpDesc) = do
-  let x' = fromIntegral (nv @n)
-  let sz = lenF x
-  if cmp sz x'
-  then Nothing
-  else
-    let msg =
-          [ "Size of ", typ, " is not ", cmpDesc, " "
-          , i2text x'
-          , ". "
-          , "Size is: "
-          , i2text sz
-          ] |> mconcat
-    in throwRefineOtherException (typeRep p) msg
-
--- helper function to make sure natVal calls are
--- zero runtime overhead
-nv :: forall n. KnownNat n => Integer
-nv = natVal' (proxy# :: Proxy# n)
-
--- convert an Integral number to Text
---
--- todo: use toLazyTextWith, providing a tiny buffer size
-i2text :: Integral a => a -> Text
-i2text = TextBuilder.decimal
-  .> TextBuilder.toLazyText
-  .> TextLazy.toStrict
-{-# SPECIALISE i2text :: Int -> Text #-}
-{-# SPECIALISE i2text :: Integer -> Text #-}
+--------------------------------------------------------------------------------++-- Copyright © 2015 Nikita Volkov+-- Copyright © 2018 Remy Goldschmidt+-- Copyright © 2020 chessai+--+-- Permission is hereby granted, free of charge, to any person+-- obtaining a copy of this software and associated documentation+-- files (the "Software"), to deal in the Software without+-- restriction, including without limitation the rights to use,+-- copy, modify, merge, publish, distribute, sublicense, and/or sell+-- copies of the Software, and to permit persons to whom the+-- Software is furnished to do so, subject to the following+-- conditions:+--+-- The above copyright notice and this permission notice shall be+-- included in all copies or substantial portions of the Software.+--+-- THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,+-- EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES+-- OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND+-- NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT+-- HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,+-- WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING+-- FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR+-- OTHER DEALINGS IN THE SOFTWARE.++--------------------------------------------------------------------------------++{-# OPTIONS_GHC -Wall                        #-}+{-# OPTIONS_GHC -fno-warn-orphans            #-}+{-# OPTIONS_GHC -funbox-strict-fields        #-}++--------------------------------------------------------------------------------++{-# LANGUAGE AllowAmbiguousTypes        #-}+{-# LANGUAGE BangPatterns               #-}+{-# LANGUAGE CPP                        #-}+{-# LANGUAGE DataKinds                  #-}+{-# LANGUAGE DeriveGeneric              #-}+{-# LANGUAGE FlexibleContexts           #-}+{-# LANGUAGE FlexibleInstances          #-}+{-# LANGUAGE LambdaCase                 #-}+{-# LANGUAGE MagicHash                  #-}+{-# LANGUAGE MultiParamTypeClasses      #-}+{-# LANGUAGE OverloadedStrings          #-}+{-# LANGUAGE PackageImports             #-}+{-# LANGUAGE PolyKinds                  #-}+{-# LANGUAGE RoleAnnotations            #-}+{-# LANGUAGE ScopedTypeVariables        #-}+{-# LANGUAGE TemplateHaskellQuotes      #-}+{-# LANGUAGE TypeApplications           #-}+{-# LANGUAGE TypeFamilies               #-}+{-# LANGUAGE TypeOperators              #-}+{-# LANGUAGE UndecidableInstances       #-}++--------------------------------------------------------------------------------++-- | In type theory, a refinement type is a type endowed+--   with a predicate which is assumed to hold for any element+--   of the refined type.+--+--   This library allows one to capture the idea of a refinement type+--   using the 'Refined' type. A 'Refined' @p@ @x@ wraps a value+--   of type @x@, ensuring that it satisfies a type-level predicate @p@.+--+--   A simple introduction to this library can be found here: http://nikita-volkov.github.io/refined/+--+module Refined+  ( -- * 'Refined' type+    Refined++    -- ** Creation+  , refine+  , refine_+  , refineThrow+  , refineFail+  , refineError+  , refineEither+  , refineTH+  , refineTH_++    -- ** Consumption+  , unrefine++    -- * 'Predicate'+  , Predicate (validate)+  , reifyPredicate++    -- * Logical predicates+  , Not(..)+  , And(..)+  , type (&&)+  , Or(..)+  , type (||)+  , Xor(..)++    -- * Identity predicate+  , IdPred(..)++    -- * Numeric predicates+  , LessThan(..)+  , GreaterThan(..)+  , From(..)+  , To(..)+  , FromTo(..)+  , NegativeFromTo(..)+  , EqualTo(..)+  , NotEqualTo(..)+  , Odd(..)+  , Even(..)+  , DivisibleBy(..)+  , NaN(..)+  , Infinite(..)+  , Positive+  , NonPositive+  , Negative+  , NonNegative+  , ZeroToOne+  , NonZero++    -- * Foldable predicates+    -- ** Size predicates+  , SizeLessThan(..)+  , SizeGreaterThan(..)+  , SizeEqualTo(..)+  , Empty+  , NonEmpty+    -- ** Ordering predicates+  , Ascending(..)+  , Descending(..)++    -- * Weakening+  , Weaken (weaken)+  , andLeft+  , andRight+  , leftOr+  , rightOr+  , weakenAndLeft+  , weakenAndRight+  , weakenOrLeft+  , weakenOrRight++    -- * Strengthening+  , strengthen++    -- * Error handling++    -- ** 'RefineException'+  , RefineException+    ( RefineNotException+    , RefineAndException+    , RefineOrException+    , RefineXorException+    , RefineOtherException+    , RefineSomeException+    )+  , displayRefineException++    -- ** 'validate' helpers+  , throwRefineOtherException+  , throwRefineSomeException+  , success+ ) where++--------------------------------------------------------------------------------++import           Control.Exception            (Exception (displayException))+import           Data.Coerce                  (coerce)+import           Data.Either                  (isRight, rights)+import           Data.Foldable                (foldl')+import           Data.Functor.Contravariant   ((>$<))+import           Data.Proxy                   (Proxy(Proxy))+import           Data.Text                    (Text)+import qualified Data.Text                    as Text+import qualified Data.Text.Lazy               as TextLazy+import qualified Data.Text.Lazy.Builder       as TextBuilder+import qualified Data.Text.Lazy.Builder.Int   as TextBuilder+import qualified Data.ByteString              as BS+import qualified Data.ByteString.Lazy         as BL+import           Data.Typeable                (TypeRep, Typeable, typeRep)++import           Control.Monad.Catch          (MonadThrow, SomeException)+import qualified Control.Monad.Catch          as MonadThrow+import           Control.Monad.Error.Class    (MonadError)+import qualified Control.Monad.Error.Class    as MonadError+#if !MIN_VERSION_base(4,13,0)+import           Control.Monad.Fail           (MonadFail, fail)+import           Prelude                      hiding (fail)+#endif++import           GHC.Exts                     (Proxy#, proxy#)+import           GHC.Generics                 (Generic, Generic1)+import           GHC.TypeLits                 (type (<=), KnownNat, Nat, natVal')++import           Refined.Unsafe.Type          (Refined(Refined))++import qualified Language.Haskell.TH.Syntax   as TH++#if HAVE_AESON+import           Control.Monad    ((<=<))+import           Data.Aeson       (FromJSON, FromJSONKey, ToJSON, ToJSONKey)+import qualified Data.Aeson    as Aeson+#endif++#if HAVE_QUICKCHECK+import           Test.QuickCheck  (Arbitrary, Gen)+import qualified Test.QuickCheck  as QC+import           Data.Typeable    (showsTypeRep)+#endif++import "these-skinny" Data.These                   (These(This,That,These))++--------------------------------------------------------------------------------++-- $setup+--+-- Doctest imports+--+-- >>> :set -XDataKinds+-- >>> :set -XOverloadedStrings+-- >>> :set -XTypeApplications+-- >>> import Data.Int+-- >>> import Data.Either (isLeft)+--++--------------------------------------------------------------------------------++infixl 0 |>+infixl 9 .>++-- | Helper function, stolen from the flow package.+(|>) :: a -> (a -> b) -> b+x |> f = apply x f+{-# INLINE (|>) #-}++-- | Helper function, stolen from the flow package.+(.>) :: (a -> b) -> (b -> c) -> a -> c+f .> g = compose f g+{-# INLINE (.>) #-}++-- | Helper function, stolen from the flow package.+apply :: a -> (a -> b) -> b+apply x f = f x++-- | Helper function, stolen from the flow package.+compose :: (a -> b) -> (b -> c) -> (a -> c)+compose f g x = g (f x)++-- | FIXME: doc+data Ordered a = Empty | Decreasing a | Increasing a++-- | FIXME: doc+inc :: Ordered a -> Bool+inc (Decreasing _) = False+inc _              = True+{-# INLINE inc #-}++-- | FIXME: doc+dec :: Ordered a -> Bool+dec (Increasing _) = False+dec _              = True+{-# INLINE dec #-}++increasing :: (Foldable t, Ord a) => t a -> Bool+increasing = inc . foldl' go Empty where+  go Empty y = Increasing y+  go (Decreasing x) _ = Decreasing x+  go (Increasing x) y+    | x <= y = Increasing y+    | otherwise = Decreasing y+{-# INLINABLE increasing #-}++decreasing :: (Foldable t, Ord a) => t a -> Bool+decreasing = dec . foldl' go Empty where+  go Empty y = Decreasing y+  go (Increasing x) _ = Increasing x+  go (Decreasing x) y+    | x >= y = Decreasing y+    | otherwise = Increasing y+{-# INLINABLE decreasing #-}++--------------------------------------------------------------------------------++-- | This instance makes sure to check the refinement.+--+--   @since 0.1.0.0+instance (Read x, Predicate p x) => Read (Refined p x) where+  readsPrec d = readParen (d > 10) $ \r1 -> do+    ("Refined", r2) <- lex r1+    (raw,       r3) <- readsPrec 11 r2+    case refine raw of+      Right val -> [(val, r3)]+      Left  _   -> []++#if HAVE_AESON+-- | @since 0.4+instance (FromJSON a, Predicate p a) => FromJSON (Refined p a) where+  parseJSON = refineFail <=< Aeson.parseJSON++instance (FromJSONKey a, Predicate p a) => FromJSONKey (Refined p a) where+  fromJSONKey = case Aeson.fromJSONKey @a of+    Aeson.FromJSONKeyCoerce -> Aeson.FromJSONKeyTextParser $ refineFail . coerce+    Aeson.FromJSONKeyText f -> Aeson.FromJSONKeyTextParser $ refineFail . f+    Aeson.FromJSONKeyTextParser f -> Aeson.FromJSONKeyTextParser $ refineFail <=< f+    Aeson.FromJSONKeyValue f -> Aeson.FromJSONKeyValue $ refineFail <=< f++  fromJSONKeyList = case Aeson.fromJSONKeyList @a of+    Aeson.FromJSONKeyText f -> Aeson.FromJSONKeyTextParser $ traverse refineFail . f+    Aeson.FromJSONKeyTextParser f -> Aeson.FromJSONKeyTextParser $ traverse refineFail <=< f+    Aeson.FromJSONKeyValue f -> Aeson.FromJSONKeyValue $ traverse refineFail <=< f++-- | @since 0.4+instance (ToJSON a, Predicate p a) => ToJSON (Refined p a) where+  toJSON = Aeson.toJSON . unrefine++-- | @since 0.6.3+instance (ToJSONKey a, Predicate p a) => ToJSONKey (Refined p a) where+  toJSONKey = unrefine >$< Aeson.toJSONKey+  toJSONKeyList = map unrefine >$< Aeson.toJSONKeyList+#endif /* HAVE_AESON */++#if HAVE_QUICKCHECK+-- | @since 0.4+instance forall p a. (Arbitrary a, Typeable a, Typeable p, Predicate p a) => Arbitrary (Refined p a) where+  arbitrary = loop 0 QC.arbitrary+    where+      loop :: Int -> Gen a -> Gen (Refined p a)+      loop !runs gen+        | runs < 100 = do+            m <- suchThatRefined gen+            case m of+              Just x -> do+                pure x+              Nothing -> do+                loop (runs + 1) gen+        | otherwise = error (refinedGenError (Proxy @p) (Proxy @a))+  shrink = rights . map refine . QC.shrink . unrefine++refinedGenError :: (Typeable p, Typeable a)+  => Proxy p -> Proxy a -> String+refinedGenError p a = "arbitrary :: Refined ("+  ++ typeName p+  ++ ") ("+  ++ typeName a+  ++ "): Failed to generate a value that satisfied"+  ++ " the predicate after 100 tries."++suchThatRefined :: forall p a. (Predicate p a)+  => Gen a -> Gen (Maybe (Refined p a))+suchThatRefined gen = do+  m <- QC.suchThatMaybe gen (reifyPredicate @p @a)+  case m of+    Nothing -> pure Nothing+    Just x -> pure (Just (Refined x))++typeName :: Typeable a => Proxy a -> String+typeName = flip showsTypeRep "" . typeRep+#endif /* HAVE_QUICKCHECK */++--------------------------------------------------------------------------------++-- | A smart constructor of a 'Refined' value.+--   Checks the input value at runtime.+--+--   @since 0.1.0.0+refine :: forall p x. (Predicate p x) => x -> Either RefineException (Refined p x)+refine x = maybe (Right (Refined x)) Left (validate (Proxy @p) x)+{-# INLINABLE refine #-}++-- | Like 'refine', but discards the refinement.+--   This _can_ be useful when you only need to validate+--   that some value at runtime satisfies some predicate.+--   See also 'reifyPredicate'.+--+--   @since 0.4.4+refine_ :: forall p x. (Predicate p x) => x -> Either RefineException x+refine_ = refine @p @x .> coerce+{-# INLINABLE refine_ #-}++-- | Constructs a 'Refined' value at run-time,+--   calling 'Control.Monad.Catch.throwM' if the value+--   does not satisfy the predicate.+--+--   @since 0.2.0.0+refineThrow :: (Predicate p x, MonadThrow m) => x -> m (Refined p x)+refineThrow = refine .> either MonadThrow.throwM pure+{-# INLINABLE refineThrow #-}++-- | Constructs a 'Refined' value at run-time,+--   calling 'Control.Monad.Fail.fail' if the value+--   does not satisfy the predicate.+--+--   @since 0.2.0.0+refineFail :: (Predicate p x, MonadFail m) => x -> m (Refined p x)+refineFail = refine .> either (displayException .> fail) pure+{-# INLINABLE refineFail #-}++-- | Constructs a 'Refined' value at run-time,+--   calling 'Control.Monad.Error.throwError' if the value+--   does not satisfy the predicate.+--+--   @since 0.2.0.0+refineError :: (Predicate p x, MonadError RefineException m)+            => x -> m (Refined p x)+refineError = refine .> either MonadError.throwError pure+{-# INLINABLE refineError #-}++-- | Like 'refine', but, when the value doesn't satisfy the predicate, returns+--   a 'Refined' value with the predicate negated, instead of returning+--   'RefineException'.+--+--   >>> isRight (refineEither @Even @Int 42)+--   True+--+--   >>> isLeft (refineEither @Even @Int 43)+--   True+--+refineEither :: forall p x. (Predicate p x) => x -> Either (Refined (Not p) x) (Refined p x)+refineEither x =+  case validate (Proxy @p) x of+    Nothing -> Right $ Refined x+    Just _  -> Left  $ Refined x+{-# INLINABLE refineEither #-}++--------------------------------------------------------------------------------++-- | Constructs a 'Refined' value at compile-time using @-XTemplateHaskell@.+--+--   For example:+--+--   > $$(refineTH 23) :: Refined Positive Int+--   > Refined 23+--+--   Here's an example of an invalid value:+--+--   > $$(refineTH 0) :: Refined Positive Int+--   > <interactive>:6:4:+--   >     Value is not greater than 0+--   >     In the Template Haskell splice $$(refineTH 0)+--   >     In the expression: $$(refineTH 0) :: Refined Positive Int+--   >     In an equation for ‘it’:+--   >         it = $$(refineTH 0) :: Refined Positive Int+--+--   The example above indicates a compile-time failure,+--   which means that the checking was done at compile-time,+--   thus introducing a zero-runtime overhead compared to+--   a plain value construction.+--+--   /Note/: It may be useful to use this function with the+--   <https://hackage.haskell.org/package/th-lift-instances/ th-lift-instances package>.+--+--   @since 0.1.0.0+#if MIN_VERSION_template_haskell(2,17,0)+refineTH :: forall p x m. (Predicate p x, TH.Lift x, TH.Quote m, MonadFail m)+  => x+  -> TH.Code m (Refined p x)+refineTH =+  let showException = refineExceptionToTree+        .> showTree True+        .> fail+        .> TH.liftCode+  in refine @p @x+     .> either showException TH.liftTyped+#else+refineTH :: forall p x. (Predicate p x, TH.Lift x)+  => x+  -> TH.Q (TH.TExp (Refined p x))+refineTH =+  let showException = refineExceptionToTree+        .> showTree True+        .> fail+  in refine @p @x+     .> either showException TH.lift+     .> fmap TH.TExp+#endif++-- | Like 'refineTH', but immediately unrefines the value.+--   This is useful when some value need only be refined+--   at compile-time.+--+--   @since 0.4.4+#if MIN_VERSION_template_haskell(2,17,0)+refineTH_ :: forall p x m. (Predicate p x, TH.Lift x, TH.Quote m, MonadFail m)+  => x+  -> TH.Code m x+refineTH_ =+  refineTH @p @x+  .> TH.examineCode+  .> fmap unsafeUnrefineTExp+  .> TH.liftCode+#else+refineTH_ :: forall p x. (Predicate p x, TH.Lift x)+  => x+  -> TH.Q (TH.TExp x)+refineTH_ = refineTH @p @x .> fmap unsafeUnrefineTExp+#endif++unsafeUnrefineTExp :: TH.TExp (Refined p x) -> TH.TExp x+unsafeUnrefineTExp (TH.TExp e) = TH.TExp+  (TH.VarE 'unrefine `TH.AppE` e)++--------------------------------------------------------------------------------++-- | Extracts the refined value.+--+--   @since 0.1.0.0+unrefine :: Refined p x -> x+unrefine = coerce+{-# INLINE unrefine #-}++--------------------------------------------------------------------------------++-- | A typeclass which defines a runtime interpretation of+--   a type-level predicate @p@ for type @x@.+--+--   @since 0.1.0.0+class (Typeable p) => Predicate p x where+  {-# MINIMAL validate #-}+  -- | Check the value @x@ according to the predicate @p@,+  --   producing an error 'RefineException' if the value+  --   does not satisfy.+  --+  --   /Note/: 'validate' is not intended to be used+  --   directly; instead, it is intended to provide the minimal+  --   means necessary for other utilities to be derived. As+  --   such, the 'Maybe' here should be interpreted to mean+  --   the presence or absence of a 'RefineException', and+  --   nothing else.+  validate :: Proxy p -> x -> Maybe RefineException++--------------------------------------------------------------------------------++-- | Reify a 'Predicate' by turning it into a value-level predicate.+--+--   @since 0.4.2.3+reifyPredicate :: forall p a. Predicate p a => a -> Bool+reifyPredicate = refine @p @a .> isRight+{-# INLINABLE reifyPredicate #-}++--------------------------------------------------------------------------------++-- | A predicate which is satisfied for all types.+--   Arguments passed to @'validate'@ in @'validate' 'IdPred' x@+--   are not evaluated.+--+--   >>> isRight (refine @IdPred @Int undefined)+--   True+--+--   >>> isLeft (refine @IdPred @Int undefined)+--   False+--+--   @since 0.3.0.0+data IdPred+  = IdPred -- ^ @since 0.4.2+  deriving+    ( Generic -- ^ @since 0.3.0.0+    )++-- | @since 0.3.0.0+instance Predicate IdPred x where+  validate _ _ = Nothing+  {-# INLINE validate #-}++--------------------------------------------------------------------------------++-- | The negation of a predicate.+--+--   >>> isRight (refine @(Not NonEmpty) @[Int] [])+--   True+--+--   >>> isLeft (refine @(Not NonEmpty) @[Int] [1,2])+--   True+--+--   @since 0.1.0.0+data Not p+  = Not -- ^ @since 0.4.2+  deriving+    ( Generic -- ^ @since 0.3.0.0+    , Generic1 -- ^ @since 0.3.0.0+    )++-- | @since 0.1.0.0+instance (Predicate (p :: k) x, Typeable p, Typeable k) => Predicate (Not p) x where+  validate p x = do+    maybe (Just (RefineNotException (typeRep p)))+          (const Nothing)+          (validate @p undefined x)++--------------------------------------------------------------------------------++-- | The conjunction of two predicates.+--+--   >>> isLeft (refine @(And Positive Negative) @Int 3)+--   True+--+--   >>> isRight (refine @(And Positive Odd) @Int 203)+--   True+--+--   @since 0.1.0.0+data And l r+  = And -- ^ @since 0.4.2+  deriving+    ( Generic -- ^ @since 0.3.0.0+    , Generic1 -- ^ @since 0.3.0.0+    )++infixr 3 &&+-- | The conjunction of two predicates.+--+--   @since 0.2.0.0+type (&&) = And++-- | @since 0.1.0.0+instance ( Predicate (l :: k) x, Predicate (r :: k) x, Typeable l, Typeable r, Typeable k+         ) => Predicate (And l r) x where+  validate p x = do+    let a = validate @l undefined x+    let b = validate @r undefined x+    let throw err = Just (RefineAndException (typeRep p) err)+    case (a, b) of+      (Just  e, Just e1) -> throw (These e e1)+      (Just  e,       _) -> throw (This e)+      (Nothing, Just  e) -> throw (That e)+      (Nothing, Nothing) -> Nothing++--------------------------------------------------------------------------------++-- | The disjunction of two predicates.+--+--   >>> isRight (refine @(Or Even Odd) @Int 3)+--   True+--+--   >>> isRight (refine @(Or (LessThan 3) (GreaterThan 3)) @Int 2)+--   True+--+--   >>> isRight (refine @(Or Even Even) @Int 4)+--   True+--+--   @since 0.1.0.0+data Or l r+  = Or -- ^ @since 0.4.2+  deriving+    ( Generic -- ^ @since 0.3.0.0+    , Generic1 -- ^ @since 0.3.0.0+    )++infixr 2 ||+-- | The disjunction of two predicates.+--+--   @since 0.2.0.0+type (||) = Or++-- | @since 0.2.0.0+instance ( Predicate (l :: k) x, Predicate (r :: k) x, Typeable l, Typeable r, Typeable k+         ) => Predicate (Or l r) x where+  validate p x = do+    let left  = validate @l undefined x+    let right = validate @r undefined x+    case (left, right) of+      (Just l, Just r) -> Just (RefineOrException (typeRep p) l r)+      _                -> Nothing++--------------------------------------------------------------------------------++-- | The exclusive disjunction of two predicates.+--+--+--   >>> isRight (refine @(Xor Even Odd) @Int 3)+--   True+--+--   >>> isLeft (refine @(Xor (LessThan 3) (EqualTo 2)) @Int 2)+--   True+--+--   >>> isLeft (refine @(Xor Even Even) @Int 2)+--   True+--+--   @since 0.5+data Xor l r+  = Xor -- ^ @since 0.5+  deriving+    ( Generic -- ^ @since 0.5+    , Generic1 -- ^ @since 0.5+    )++-- not provided because it clashes with GHC.TypeLits.^+-- infixr 8 ^+-- The exclusive disjunction of two predicates.+-- type (^) = Xor++-- | @since 0.5+instance ( Predicate (l :: k) x, Predicate (r :: k) x, Typeable l, Typeable r, Typeable k+         ) => Predicate (Xor l r) x where+  validate p x = do+    let left = validate @l undefined x+    let right = validate @r undefined x+    case (left, right) of+      (Nothing, Nothing) -> Just (RefineXorException (typeRep p) Nothing)+      (Just  l, Just  r) -> Just (RefineXorException (typeRep p) (Just (l, r)))+      _ -> Nothing++--------------------------------------------------------------------------------++-- | A 'Predicate' ensuring that the value has a length+-- which is less than the specified type-level number.+--+--   >>> isRight (refine @(SizeLessThan 4) @[Int] [1,2,3])+--   True+--+--   >>> isLeft (refine @(SizeLessThan 5) @[Int] [1,2,3,4,5])+--   True+--+--   >>> isRight (refine @(SizeLessThan 4) @Text "Hi")+--   True+--+--   >>> isLeft (refine @(SizeLessThan 4) @Text "Hello")+--   True+--+--   @since 0.2.0.0+data SizeLessThan (n :: Nat)+  = SizeLessThan -- ^ @since 0.4.2+  deriving+    ( Generic -- ^ @since 0.3.0.0+    )++-- | @since 0.2.0.0+instance (Foldable t, KnownNat n) => Predicate (SizeLessThan n) (t a) where+  validate p x = sized p (x, "Foldable") length ((<), "less than")+-- | @since 0.5+instance (KnownNat n) => Predicate (SizeLessThan n) Text where+  validate p x = sized p (x, "Text") Text.length ((<), "less than")++-- | @since 0.5+instance (KnownNat n) => Predicate (SizeLessThan n) BS.ByteString where+  validate p x = sized p (x, "ByteString") BS.length ((<), "less than")++-- | @since 0.5+instance (KnownNat n) => Predicate (SizeLessThan n) BL.ByteString where+  validate p x = sized p (x, "ByteString") (fromIntegral . BL.length) ((<), "less than")++--------------------------------------------------------------------------------++-- | A 'Predicate' ensuring that the value has a length+-- which is greater than the specified type-level number.+--+--   >>> isLeft (refine  @(SizeGreaterThan 3) @[Int] [1,2,3])+--   True+--+--   >>> isRight (refine @(SizeGreaterThan 3) @[Int] [1,2,3,4,5])+--   True+--+--   >>> isLeft (refine @(SizeGreaterThan 4) @Text "Hi")+--   True+--+--   >>> isRight (refine @(SizeGreaterThan 4) @Text "Hello")+--   True+--+--   @since 0.2.0.0+data SizeGreaterThan (n :: Nat)+  = SizeGreaterThan -- ^ @since 0.4.2+  deriving+    ( Generic -- ^ @since 0.3.0.0+    )++-- | @since 0.2.0.0+instance (Foldable t, KnownNat n) => Predicate (SizeGreaterThan n) (t a) where+  validate p x = sized p (x, "Foldable") length ((>), "greater than")++-- | @since 0.5+instance (KnownNat n) => Predicate (SizeGreaterThan n) Text where+  validate p x = sized p (x, "Text") Text.length ((>), "greater than")++-- | @since 0.5+instance (KnownNat n) => Predicate (SizeGreaterThan n) BS.ByteString where+  validate p x = sized p (x, "ByteString") BS.length ((>), "greater than")++-- | @since 0.5+instance (KnownNat n) => Predicate (SizeGreaterThan n) BL.ByteString where+  validate p x = sized p (x, "ByteString") (fromIntegral . BL.length) ((>), "greater than")++--------------------------------------------------------------------------------++-- | A 'Predicate' ensuring that the value has a length+-- which is equal to the specified type-level number.+--+--   >>> isRight (refine @(SizeEqualTo 4) @[Int] [1,2,3,4])+--   True+--+--   >>> isLeft (refine @(SizeEqualTo 35) @[Int] [1,2,3,4])+--   True+--+--   >>> isRight (refine @(SizeEqualTo 4) @Text "four")+--   True+--+--   >>> isLeft (refine @(SizeEqualTo 35) @Text "four")+--   True+--+--   @since 0.2.0.0+data SizeEqualTo (n :: Nat)+  = SizeEqualTo -- ^ @since 0.4.2+  deriving+    ( Generic -- ^ @since 0.3.0.0+    )++-- | @since 0.2.0.0+instance (Foldable t, KnownNat n) => Predicate (SizeEqualTo n) (t a) where+  validate p x = sized p (x, "Foldable") length ((==), "equal to")++-- | @since 0.5+instance (KnownNat n) => Predicate (SizeEqualTo n) Text where+  validate p x = sized p (x, "Text") Text.length ((==), "equal to")++-- | @since 0.5+instance (KnownNat n) => Predicate (SizeEqualTo n) BS.ByteString where+  validate p x = sized p (x, "ByteString") BS.length ((==), "equal to")++-- | @since 0.5+instance (KnownNat n) => Predicate (SizeEqualTo n) BL.ByteString where+  validate p x = sized p (x, "ByteString") (fromIntegral . BL.length) ((==), "equal to")++--------------------------------------------------------------------------------++-- | A 'Predicate' ensuring that the 'Foldable' contains elements+-- in a strictly ascending order.+--+--   >>> isRight (refine @Ascending @[Int] [5, 8, 13, 21, 34])+--   True+--+--   >>> isLeft (refine @Ascending @[Int] [34, 21, 13, 8, 5])+--   True+--+--   @since 0.2.0.0+data Ascending+  = Ascending -- ^ @since 0.4.2+  deriving+    ( Generic -- ^ @since 0.3.0.0+    )++-- | @since 0.2.0.0+instance (Foldable t, Ord a) => Predicate Ascending (t a) where+  validate p x = do+    if increasing x+    then Nothing+    else throwRefineOtherException+         (typeRep p)+         "Foldable is not in ascending order."++--------------------------------------------------------------------------------++-- | A 'Predicate' ensuring that the 'Foldable' contains elements+-- in a strictly descending order.+--+--   >>> isRight (refine @Descending @[Int] [34, 21, 13, 8, 5])+--   True+--+--   >>> isLeft (refine @Descending @[Int] [5, 8, 13, 21, 34])+--   True+--+--   @since 0.2.0.0+data Descending+  = Descending -- ^ @since 0.4.2+  deriving+    ( Generic -- ^ @since 0.3.0.0+    )++-- | @since 0.2.0.0+instance (Foldable t, Ord a) => Predicate Descending (t a) where+  validate p x = do+    if decreasing x+    then Nothing+    else throwRefineOtherException+        (typeRep p)+        "Foldable is not in descending order."++--------------------------------------------------------------------------------++-- | A 'Predicate' ensuring that the value is less than the+--   specified type-level number.+--+--   >>> isRight (refine @(LessThan 12) @Int 11)+--   True+--+--   >>> isLeft (refine @(LessThan 12) @Int 12)+--   True+--+--   @since 0.1.0.0+data LessThan (n :: Nat)+  = LessThan -- ^ @since 0.4.2+  deriving+    ( Generic -- ^ @since 0.3.0.0+    )++-- | @since 0.1.0.0+instance (Ord x, Num x, KnownNat n) => Predicate (LessThan n) x where+  validate p x = do+    let n = nv @n+    let x' = fromIntegral n+    if x < x'+    then Nothing+    else throwRefineOtherException+         (typeRep p)+         ("Value is not less than " <> i2text n)++--------------------------------------------------------------------------------++-- | A 'Predicate' ensuring that the value is greater than the+--   specified type-level number.+--+--   >>> isRight (refine @(GreaterThan 65) @Int 67)+--   True+--+--   >>> isLeft (refine @(GreaterThan 65) @Int 65)+--   True+--+--   @since 0.1.0.0+data GreaterThan (n :: Nat)+  = GreaterThan -- ^ @since 0.4.2+  deriving+    ( Generic -- ^ @since 0.3.0.0+    )++-- | @since 0.1.0.0+instance (Ord x, Num x, KnownNat n) => Predicate (GreaterThan n) x where+  validate p x = do+    let n = nv @n+    let x' = fromIntegral n+    if x > x'+    then Nothing+    else throwRefineOtherException+         (typeRep p)+         ("Value is not greater than " <> i2text n)++--------------------------------------------------------------------------------++-- | A 'Predicate' ensuring that the value is greater than or equal to the+--   specified type-level number.+--+--   >>> isRight (refine @(From 9) @Int 10)+--   True+--+--   >>> isRight (refine @(From 10) @Int 10)+--   True+--+--   >>> isLeft (refine @(From 11) @Int 10)+--   True+--+--   @since 0.1.2+data From (n :: Nat)+  = From -- ^ @since 0.4.2+  deriving+    ( Generic -- ^ @since 0.3.0.0+    )++-- | @since 0.1.2+instance (Ord x, Num x, KnownNat n) => Predicate (From n) x where+  validate p x = do+    let n = nv @n+    let x' = fromIntegral n+    if x >= x'+    then Nothing+    else throwRefineOtherException+         (typeRep p)+         ("Value is less than " <> i2text n)++--------------------------------------------------------------------------------++-- | A 'Predicate' ensuring that the value is less than or equal to the+--   specified type-level number.+--+--   >>> isRight (refine @(To 23) @Int 17)+--   True+--+--   >>> isLeft (refine @(To 17) @Int 23)+--   True+--+--   @since 0.1.2+data To (n :: Nat)+  = To -- ^ @since 0.4.2+  deriving+    ( Generic -- ^ @since 0.3.0.0+    )++-- | @since 0.1.2+instance (Ord x, Num x, KnownNat n) => Predicate (To n) x where+  validate p x = do+    let n = nv @n+    let x' = fromIntegral n+    if x <= x'+    then Nothing+    else throwRefineOtherException+         (typeRep p)+         ("Value is greater than " <> i2text n)++--------------------------------------------------------------------------------++-- | A 'Predicate' ensuring that the value is within an inclusive range.+--+--   >>> isRight (refine @(FromTo 0 16) @Int 13)+--   True+--+--   >>> isRight (refine @(FromTo 13 15) @Int 13)+--   True+--+--   >>> isRight (refine @(FromTo 13 15) @Int 15)+--   True+--+--   >>> isLeft (refine @(FromTo 13 15) @Int 12)+--   True+--+--   @since 0.1.2+data FromTo (mn :: Nat) (mx :: Nat)+  = FromTo -- ^ @since 0.4.2+  deriving+    ( Generic-- ^ @since 0.3.0.0+    )++-- | @since 0.1.2+instance ( Ord x, Num x, KnownNat mn, KnownNat mx, mn <= mx+         ) => Predicate (FromTo mn mx) x where+  validate p x = do+    let mn' = nv @mn+    let mx' = nv @mx+    if x >= fromIntegral mn' && x <= fromIntegral mx'+    then Nothing+    else+      let msg = [ "Value is out of range (minimum: "+                , i2text mn'+                , ", maximum: "+                , i2text mx'+                , ")"+                ] |> mconcat+      in throwRefineOtherException (typeRep p) msg++--------------------------------------------------------------------------------++-- | A 'Predicate' ensuring that the value is equal to the specified+--   type-level number @n@.+--+--   >>> isRight (refine @(EqualTo 5) @Int 5)+--   True+--+--   >>> isLeft (refine @(EqualTo 6) @Int 5)+--   True+--+--   @since 0.1.0.0+data EqualTo (n :: Nat)+  = EqualTo -- ^ @since 0.4.2+  deriving+    ( Generic -- ^ @since 0.3.0.0+    )++-- | @since 0.1.0.0+instance (Eq x, Num x, KnownNat n) => Predicate (EqualTo n) x where+  validate p x = do+    let n = nv @n+    let x' = fromIntegral n+    if x == x'+    then Nothing+    else throwRefineOtherException+         (typeRep p)+         ("Value does not equal " <> i2text n)++--------------------------------------------------------------------------------++-- | A 'Predicate' ensuring that the value is not equal to the specified+--   type-level number @n@.+--+--   >>> isRight (refine @(NotEqualTo 6) @Int 5)+--   True+--+--   >>> isLeft (refine @(NotEqualTo 5) @Int 5)+--   True+--+--   @since 0.2.0.0+data NotEqualTo (n :: Nat)+  = NotEqualTo -- ^ @since 0.4.2+  deriving+    ( Generic -- ^ @since 0.3.0.0+    )++-- | @since 0.2.0.0+instance (Eq x, Num x, KnownNat n) => Predicate (NotEqualTo n) x where+  validate p x = do+    let n = nv @n+    let x' = fromIntegral n+    if x /= x'+    then Nothing+    else throwRefineOtherException+         (typeRep p)+         ("Value does equal " <> i2text n)++--------------------------------------------------------------------------------++-- | A 'Predicate' ensuring that the value is greater or equal than a negative+--   number specified as a type-level (positive) number @n@ and less than a+--   type-level (positive) number @m@.+--+--   >>> isRight (refine @(NegativeFromTo 5 12) @Int (-3))+--   True+--+--   >>> isLeft (refine @(NegativeFromTo 4 3) @Int (-5))+--   True+--+--   @since 0.4+data NegativeFromTo (n :: Nat) (m :: Nat)+  = NegativeFromTo -- ^ @since 0.4.2+  deriving+    ( Generic -- ^ @since 0.3.0.0+    )++-- | @since 0.4+instance (Ord x, Num x, KnownNat n, KnownNat m) => Predicate (NegativeFromTo n m) x where+  validate p x = do+    let n' = nv @n+    let m' = nv @m+    if x >= fromIntegral (negate n') && x <= fromIntegral m'+    then Nothing+    else+      let msg = [ "Value is out of range (minimum: "+                , i2text (negate n')+                , ", maximum: "+                , i2text m'+                , ")"+                ] |> mconcat+      in throwRefineOtherException (typeRep p) msg++--------------------------------------------------------------------------------++-- | A 'Predicate' ensuring that the value is divisible by @n@.+--+--   >>> isRight (refine @(DivisibleBy 3) @Int 12)+--   True+--+--   >>> isLeft (refine @(DivisibleBy 2) @Int 37)+--   True+--+--   @since 0.4.2+data DivisibleBy (n :: Nat)+  = DivisibleBy -- ^ @since 0.4.2+  deriving+    ( Generic -- ^ @since 0.3.0.0+    )++-- | @since 0.4.2+instance (Integral x, KnownNat n) => Predicate (DivisibleBy n) x where+  validate p x = do+    let n = nv @n+    let x' = fromIntegral n+    if x `mod` x' == 0+    then Nothing+    else throwRefineOtherException+         (typeRep p)+         ("Value is not divisible by " <> i2text n)++--------------------------------------------------------------------------------++-- | A 'Predicate' ensuring that the value is odd.+--+--   >>> isRight (refine @Odd @Int 33)+--   True+--+--   >>> isLeft (refine @Odd @Int 32)+--   True+--+--   @since 0.4.2+data Odd+  = Odd -- ^ @since 0.4.2+  deriving+    ( Generic -- ^ @since 0.3.0.0+    )++-- | @since 0.4.2+instance (Integral x) => Predicate Odd x where+  validate p x = do+    if odd x+    then Nothing+    else throwRefineOtherException+         (typeRep p)+         "Value is not odd."++--------------------------------------------------------------------------------++-- | A 'Predicate' ensuring that the value is IEEE "not-a-number" (NaN).+--+--   >>> isRight (refine @NaN @Double (0/0))+--   True+--+--   >>> isLeft (refine @NaN @Double 13.9)+--   True+--+--   @since 0.5+data NaN+  = NaN -- ^ @since 0.5+  deriving+    ( Generic -- ^ @since 0.5+    )++-- | @since 0.5+instance (RealFloat x) => Predicate NaN x where+  validate p x = do+    if isNaN x+    then Nothing+    else throwRefineOtherException+         (typeRep p)+         "Value is not IEEE \"not-a-number\" (NaN)."++--------------------------------------------------------------------------------++-- | A 'Predicate' ensuring that the value is IEEE infinity or negative infinity.+--+--   >>> isRight (refine @Infinite @Double (1/0))+--   True+--+--   >>> isRight (refine @Infinite @Double (-1/0))+--   True+--+--   >>> isLeft (refine @Infinite @Double 13.20)+--   True+--+--   @since 0.5+data Infinite+  = Infinite -- ^ @since 0.5+  deriving+    ( Generic -- ^ @since 0.5+    )++-- | @since 0.5+instance (RealFloat x) => Predicate Infinite x where+  validate p x = do+    if isInfinite x+    then Nothing+    else throwRefineOtherException+         (typeRep p)+         "Value is not IEEE infinity or negative infinity."++--------------------------------------------------------------------------------++-- | A 'Predicate' ensuring that the value is even.+--+--   >>> isRight (refine @Even @Int 32)+--   True+--+--   >>> isLeft (refine @Even @Int 33)+--   True+--+--   @since 0.4.2+data Even+  = Even -- ^ @since 0.4.2+  deriving+    ( Generic -- ^ @since 0.4.2+    )++-- | @since 0.4.2+instance (Integral x) => Predicate Even x where+  validate p x = do+    if even x+    then Nothing+    else throwRefineOtherException+         (typeRep p)+         "Value is not even."++--------------------------------------------------------------------------------++-- | A 'Predicate' ensuring that the value is greater than zero.+--+--   @since 0.1.0.0+type Positive = GreaterThan 0++-- | A 'Predicate' ensuring that the value is less than or equal to zero.+--+--   @since 0.1.2+type NonPositive = To 0++-- | A 'Predicate' ensuring that the value is less than zero.+--+--   @since 0.1.0.0+type Negative = LessThan 0++-- | A 'Predicate' ensuring that the value is greater than or equal to zero.+--+--   @since 0.1.2+type NonNegative = From 0++-- | An inclusive range of values from zero to one.+--+--   @since 0.1.0.0+type ZeroToOne = FromTo 0 1++-- | A 'Predicate' ensuring that the value is not equal to zero.+--+--   @since 0.2.0.0+type NonZero = NotEqualTo 0++-- | A 'Predicate' ensuring that the type is empty.+--+--   @since 0.5+type Empty = SizeEqualTo 0++-- | A 'Predicate' ensuring that the type is non-empty.+--+--   @since 0.2.0.0+type NonEmpty = SizeGreaterThan 0++--------------------------------------------------------------------------------++-- | A typeclass containing "safe" conversions between refined+--   predicates where the target is /weaker/ than the source:+--   that is, all values that satisfy the first predicate will+--   be guaranteed to satisfy the second.+--+--   Take care: writing an instance declaration for your custom+--   predicates is the same as an assertion that 'weaken' is+--   safe to use:+--+--   @+--   instance 'Weaken' Pred1 Pred2+--   @+--+--   For most of the instances, explicit type annotations for+--   the result value's type might be required.+--+-- @since 0.2.0.0+class Weaken from to where+  -- | @since 0.2.0.0+  weaken :: Refined from x -> Refined to x+  weaken = coerce++-- | @since 0.2.0.0+instance (n <= m)         => Weaken (LessThan n)        (LessThan m)+-- | @since 0.2.0.0+instance (n <= m)         => Weaken (LessThan n)        (To m)+-- | @since 0.2.0.0+instance (n <= m)         => Weaken (To n)              (To m)+-- | @since 0.2.0.0+instance (m <= n)         => Weaken (GreaterThan n)     (GreaterThan m)+-- | @since 0.2.0.0+instance (m <= n)         => Weaken (GreaterThan n)     (From m)+-- | @since 0.2.0.0+instance (m <= n)         => Weaken (From n)            (From m)+-- | @since 0.2.0.0+instance (p <= n, m <= q) => Weaken (FromTo n m)        (FromTo p q)+-- | @since 0.2.0.0+instance (p <= n)         => Weaken (FromTo n m)        (From p)+-- | @since 0.2.0.0+instance (m <= q)         => Weaken (FromTo n m)        (To q)+-- | @since 0.8.1+instance (n <= m)         => Weaken (SizeLessThan n)    (SizeLessThan m)+-- | @since 0.8.1+instance (m <= n)         => Weaken (SizeGreaterThan n) (SizeGreaterThan m)++-- | This function helps type inference.+--   It is equivalent to the following:+--+-- @+-- instance Weaken (And l r) l+-- @+--+--   @since 0.2.0.0+andLeft :: Refined (And l r) x -> Refined l x+andLeft = coerce++-- | This function helps type inference.+--   It is equivalent to the following:+--+-- @+-- instance Weaken (And l r) r+-- @+--+--   @since 0.2.0.0+andRight :: Refined (And l r) x -> Refined r x+andRight = coerce++-- | This function helps type inference.+--   It is equivalent to the following:+--+-- @+-- instance Weaken l (Or l r)+-- @+--+--   @since 0.2.0.0+leftOr :: Refined l x -> Refined (Or l r) x+leftOr = coerce++-- | This function helps type inference.+--   It is equivalent to the following:+--+-- @+-- instance Weaken r (Or l r)+-- @+--+--   @since 0.2.0.0+rightOr :: Refined r x -> Refined (Or l r) x+rightOr = coerce++-- | This function helps type inference.+--   It is equivalent to the following:+--+-- @+-- instance Weaken from to => Weaken (And from x) (And to x)+-- @+--+--   @since 0.8.1.0+weakenAndLeft :: Weaken from to => Refined (And from x) a -> Refined (And to x) a+weakenAndLeft = coerce++-- | This function helps type inference.+--   It is equivalent to the following:+--+-- @+-- instance Weaken from to => Weaken (And x from) (And x to)+-- @+--+--   @since 0.8.1.0+weakenAndRight :: Weaken from to => Refined (And x from) a -> Refined (And x to) a+weakenAndRight = coerce++-- | This function helps type inference.+--   It is equivalent to the following:+--+-- @+-- instance Weaken from to => Weaken (Or from x) (Or to x)+-- @+--+--   @since 0.8.1.0+weakenOrLeft :: Weaken from to => Refined (And from x) a -> Refined (And to x) a+weakenOrLeft = coerce++-- | This function helps type inference.+--   It is equivalent to the following:+--+-- @+-- instance Weaken from to => Weaken (Or x from) (Or x to)+-- @+--+--   @since 0.8.1.0+weakenOrRight :: Weaken from to => Refined (And x from) a -> Refined (And x to) a+weakenOrRight = coerce++-- | Strengthen a refinement by composing it with another.+--+--   @since 0.4.2.2+strengthen :: forall p p' x. (Predicate p x, Predicate p' x)+  => Refined p x+  -> Either RefineException (Refined (p && p') x)+strengthen r = do+  Refined x <- refine @p' @x (unrefine r)+  pure (Refined x)+{-# inlineable strengthen #-}++--------------------------------------------------------------------------------++-- | An exception encoding the way in which a 'Predicate' failed.+--+--   @since 0.2.0.0+data RefineException+  = -- | A 'RefineException' for failures involving the 'Not' predicate.+    --+    --   @since 0.2.0.0+    RefineNotException+    { _RefineException_typeRep   :: !TypeRep+      -- ^ The 'TypeRep' of the @'Not' p@ type.+    }++  | -- | A 'RefineException' for failures involving the 'And' predicate.+    --+    --   @since 0.2.0.0+    RefineAndException+    { _RefineException_typeRep   :: !TypeRep+      -- ^ The 'TypeRep' of the @'And' l r@ type.+    , _RefineException_andChild  :: !(These RefineException RefineException)+      -- ^ A 'These' encoding which branch(es) of the 'And' failed:+      --   if the 'RefineException' came from the @l@ predicate, then+      --   this will be 'This', if it came from the @r@ predicate, this+      --   will be 'That', and if it came from both @l@ and @r@, this+      --   will be 'These'.++      -- note to self: what am I, Dr. Seuss?+    }++  | -- | A 'RefineException' for failures involving the 'Or' predicate.+    --+    --   @since 0.2.0.0+    RefineOrException+    { _RefineException_typeRep   :: !TypeRep+      -- ^ The 'TypeRep' of the @'Or' l r@ type.+    , _RefineException_orLChild  :: !RefineException+      -- ^ The 'RefineException' for the @l@ failure.+    , _RefineException_orRChild  :: !RefineException+      -- ^ The 'RefineException' for the @l@ failure.+    }++  | -- | A 'RefineException' for failures involving the 'Xor' predicate.+    --+    --   @since 0.5+    RefineXorException+    { _RefineException_typeRep   :: !TypeRep+    , _RefineException_children  :: !(Maybe (RefineException, RefineException))+    }++  | -- | A 'RefineException' for failures involving all other predicates with custom exception.+    --+    --   @since 0.5+    RefineSomeException+    { _RefineException_typeRep   :: !TypeRep+      -- ^ The 'TypeRep' of the predicate that failed.+    , _RefineException_Exception :: !SomeException+      -- ^ A custom exception.+    }++  | -- | A 'RefineException' for failures involving all other predicates.+    --+    --   @since 0.2.0.0+    RefineOtherException+    { _RefineException_typeRep   :: !TypeRep+      -- ^ The 'TypeRep' of the predicate that failed.+    , _RefineException_message   :: !Text+      -- ^ A custom message to display.+    }+  deriving+    ( Generic -- ^ @since 0.3.0.0+    )++-- | /Note/: Equivalent to @'displayRefineException'@.+--+--   @since 0.2.0.0+instance Show RefineException where+  show = displayRefineException++-- | A Tree which is a bit easier to pretty-print+--   TODO: get rid of this+data ExceptionTree a+  = NodeNone+  | NodeSome !TypeRep SomeException+  | NodeOther !TypeRep !Text+  | NodeNot !TypeRep+  | NodeOr !TypeRep [ExceptionTree a]+  | NodeAnd !TypeRep [ExceptionTree a]+  | NodeXor !TypeRep [ExceptionTree a]++-- | pretty-print an 'ExceptionTree', contains a hack to+--   work differently whether or not you are "inGhc", i.e.+--   inside of refineTH/refineTH_ (because GHC messes with+--   the indentation)+showTree :: Bool -> ExceptionTree RefineException -> String+showTree inGhc+  | inGhc = showOne "" "" ""+      .> mapOnTail (indent 6)+      .> unlines+  | otherwise = showOne "  " "" "" .> unlines+  where+    mapOnTail :: (a -> a) -> [a] -> [a]+    mapOnTail f = \case+      [] -> []+      (a : as) -> a : map f as++    indent :: Int -> String -> String+    indent n s = replicate n ' ' ++ s++    showOne :: String -> String -> String -> ExceptionTree RefineException -> [String]+    showOne leader tie arm = \case+      NodeNone ->+        [+        ]+      NodeSome tr e ->+        [ leader+          <> arm+          <> tie+          <> "The predicate ("+          <> show tr+          <> ") failed with the exception: "+          <> displayException e+        ]+      NodeOther tr p ->+        [ leader+          <> arm+          <> tie+          <> "The predicate ("+          <> show tr+          <> ") failed with the message: "+          <> Text.unpack p+        ]+      NodeNot tr ->+        [ leader+          <> arm+          <> tie+          <> "The predicate ("+          <> show tr+          <> ") does not hold"+        ]+      NodeOr tr rest -> nodeRep tr : showChildren rest (leader <> extension)+      NodeAnd tr rest -> nodeRep tr : showChildren rest (leader <> extension)+      -- can be empty since both can be satisfied+      NodeXor tr [] ->+        [ leader+          <> arm+          <> tie+          <> "The predicate ("+          <> show tr+          <> ") does not hold, because both predicates were satisfied"+        ]+      NodeXor tr rest -> nodeRep tr : showChildren rest (leader <> extension)+      where+        nodeRep :: TypeRep -> String+        -- TODO: make tr bold+        nodeRep tr = leader <> arm <> tie <> show tr++        extension :: String+        extension = case arm of+          ""  -> ""+          "└" -> "    "+          _   -> "│   "++    showChildren :: [ExceptionTree RefineException] -> String -> [String]+    showChildren children leader =+      let arms = replicate (length children - 1) "├" <> ["└"]+      in concat (zipWith (showOne leader "── ") arms children)++refineExceptionToTree :: RefineException -> ExceptionTree RefineException+refineExceptionToTree = go+  where+    go = \case+      RefineSomeException tr e -> NodeSome tr e+      RefineOtherException tr p -> NodeOther tr p+      RefineNotException tr -> NodeNot tr+      RefineOrException tr l r -> NodeOr tr [go l, go r]+      RefineAndException tr (This l) -> NodeAnd tr [go l]+      RefineAndException tr (That r) -> NodeAnd tr [go r]+      RefineAndException tr (These l r) -> NodeAnd tr [go l, go r]+      RefineXorException tr Nothing -> NodeXor tr []+      RefineXorException tr (Just (l, r)) -> NodeXor tr [go l, go r]++-- | Display a 'RefineException' as @'String'@+--+--   This function can be extremely useful for debugging+--   @'RefineException's@, especially deeply nested ones.+--+--   Consider:+--+--   @+--   myRefinement = refine+--     \@(And+--         (Not (LessThan 5))+--         (Xor+--           (DivisibleBy 10)+--           (And+--             (EqualTo 4)+--             (EqualTo 3)+--           )+--         )+--      )+--     \@Int+--     3+--   @+--+--   This function will show the following tree structure, recursively breaking down+--   every issue:+--+--   @+--   And (Not (LessThan 5)) (Xor (EqualTo 4) (And (EqualTo 4) (EqualTo 3)))+--   ├── The predicate (Not (LessThan 5)) does not hold.+--   └── Xor (DivisibleBy 10) (And (EqualTo 4) (EqualTo 3))+--       ├── The predicate (DivisibleBy 10) failed with the message: Value is not divisible by 10+--       └── And (EqualTo 4) (EqualTo 3)+--           └── The predicate (EqualTo 4) failed with the message: Value does not equal 4+--   @+--+--   /Note/: Equivalent to @'show' \@'RefineException'@+--+--   @since 0.2.0.0+displayRefineException :: RefineException -> String+displayRefineException = refineExceptionToTree .> showTree False++-- | Encode a 'RefineException' for use with \Control.Exception\.+--+--   /Note/: Equivalent to @'displayRefineException'@.+--+--   @since 0.2.0.0+instance Exception RefineException where+  displayException = show++--------------------------------------------------------------------------------++-- | A handler for a @'RefineException'@.+--+--   'throwRefineOtherException' is useful for defining what+--   behaviour 'validate' should have in the event of a predicate failure.+--+--   Typically the first argument passed to this function+--   will be the result of applying 'typeRep' to the first+--   argument of 'validate'.+--+--   @since 0.2.0.0+throwRefineOtherException+  :: TypeRep+  -- ^ The 'TypeRep' of the 'Predicate'. This can usually be given by using 'typeRep'.+  -> Text+  -- ^ A 'PP.Doc' 'Void' encoding a custom error message to be pretty-printed.+  -> Maybe RefineException+throwRefineOtherException rep+  = RefineOtherException rep .> Just++-- | A handler for a @'RefineException'@.+--+--   'throwRefineSomeException' is useful for defining what+--   behaviour 'validate' should have in the event of a predicate failure+--   with a specific exception.+--+--   @since 0.5+throwRefineSomeException+  :: TypeRep+  -- ^ The 'TypeRep' of the 'Predicate'. This can usually be given by using 'typeRep'.+  -> SomeException+  -- ^ A custom exception.+  -> Maybe RefineException+throwRefineSomeException rep+  = RefineSomeException rep .> Just++-- | An implementation of 'validate' that always succeeds.+--+--   ==== __Examples__+--+--   @+--   data ContainsLetterE = ContainsLetterE+--+--   instance Predicate ContainsLetterE 'Text' where+--     validate p t+--       | 'Data.Text.any' (== \'e\') t = 'success'+--       | otherwise = Just $ 'throwRefineException' (typeRep p) "Text doesn't contain letter \'e\'".+--   @+--+--   @since 0.5+success+  :: Maybe RefineException+success+  = Nothing++--------------------------------------------------------------------------------++-- | Helper function for sized predicates.+sized :: forall p n a. (Typeable (p n), KnownNat n)+  => Proxy (p n)+     -- ^ predicate+  -> (a, Text)+     -- ^ (value, type)+  -> (a -> Int)+     -- ^ length of value+  -> (Int -> Int -> Bool, Text)+     -- ^ (compare :: Length -> KnownNat -> Bool, comparison string)+  -> Maybe RefineException+sized p (x, typ) lenF (cmp, cmpDesc) = do+  let x' = fromIntegral (nv @n)+  let sz = lenF x+  if cmp sz x'+  then Nothing+  else+    let msg =+          [ "Size of ", typ, " is not ", cmpDesc, " "+          , i2text x'+          , ". "+          , "Size is: "+          , i2text sz+          ] |> mconcat+    in throwRefineOtherException (typeRep p) msg++-- helper function to make sure natVal calls are+-- zero runtime overhead+nv :: forall n. KnownNat n => Integer+nv = natVal' (proxy# :: Proxy# n)++-- convert an Integral number to Text+--+-- todo: use toLazyTextWith, providing a tiny buffer size+i2text :: Integral a => a -> Text+i2text = TextBuilder.decimal+  .> TextBuilder.toLazyText+  .> TextLazy.toStrict+{-# SPECIALISE i2text :: Int -> Text #-}+{-# SPECIALISE i2text :: Integer -> Text #-}
src/Refined/Unsafe.hs view
@@ -1,132 +1,132 @@---------------------------------------------------------------------------------
-
--- Copyright © 2015 Nikita Volkov
--- Copyright © 2018 Remy Goldschmidt
--- Copyright © 2020 chessai
---
--- Permission is hereby granted, free of charge, to any person
--- obtaining a copy of this software and associated documentation
--- files (the "Software"), to deal in the Software without
--- restriction, including without limitation the rights to use,
--- copy, modify, merge, publish, distribute, sublicense, and/or sell
--- copies of the Software, and to permit persons to whom the
--- Software is furnished to do so, subject to the following
--- conditions:
---
--- The above copyright notice and this permission notice shall be
--- included in all copies or substantial portions of the Software.
---
--- THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
--- EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
--- OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
--- NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
--- HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
--- WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
--- FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
--- OTHER DEALINGS IN THE SOFTWARE.
-
---------------------------------------------------------------------------------
-
-{-# LANGUAGE CPP #-}
-{-# LANGUAGE FlexibleContexts #-}
-{-# LANGUAGE PolyKinds #-}
-#if __GLASGOW_HASKELL__ >= 805
-{-# LANGUAGE QuantifiedConstraints #-}
-{-# LANGUAGE RankNTypes #-}
-#endif
-{-# OPTIONS_GHC -Wall #-}
-
---------------------------------------------------------------------------------
-
--- | This module exposes /unsafe/ refinements. An /unsafe/ refinement
---   is one which either does not make the guarantee of totality in construction
---   of the 'Refined' value or does not perform a check of the refinement
---   predicate. It is recommended only to use this when you can manually prove
---   that the refinement predicate holds.
-module Refined.Unsafe
-  ( -- * 'Refined'
-    Refined
-
-    -- ** Creation
-  , reallyUnsafeRefine
-  , unsafeRefine
-
-    -- ** Coercion
-  , reallyUnsafeUnderlyingRefined
-#if __GLASGOW_HASKELL__ >= 805
-  , reallyUnsafeAllUnderlyingRefined
-#endif
-  , reallyUnsafePredEquiv
-  ) where
-
---------------------------------------------------------------------------------
-
-import           Control.Exception            (displayException)
-import           Data.Coerce                  (coerce)
-
-import           Refined                      (Predicate, refine)
-import           Refined.Unsafe.Type          (Refined(Refined))
-import           Data.Type.Coercion           (Coercion (..))
-#if __GLASGOW_HASKELL__ >= 805
-import           Data.Coerce                  (Coercible)
-#endif
-
---------------------------------------------------------------------------------
-
--- | Constructs a 'Refined' value at run-time,
---   calling 'Prelude.error' if the value
---   does not satisfy the predicate.
---
---   WARNING: this function is not total!
---
---   @since 0.2.0.0
-unsafeRefine :: (Predicate p x) => x -> Refined p x
-unsafeRefine = either (error . displayException) id . refine
-{-# INLINABLE unsafeRefine #-}
-
--- | Constructs a 'Refined' value, completely
---   ignoring any refinements! Use this only
---   when you can manually prove that the refinement
---   holds.
---
---   @since 0.3.0.0
-reallyUnsafeRefine :: x -> Refined p x
-reallyUnsafeRefine = coerce
-{-# INLINE reallyUnsafeRefine #-}
-
--- | A coercion between a type and any refinement of that type.
---   See "Data.Type.Coercion" for functions manipulating
---   coercions.
---
---   @since 0.3.0.0
-reallyUnsafeUnderlyingRefined :: Coercion x (Refined p x)
-reallyUnsafeUnderlyingRefined = Coercion
-
--- | A coercion between two 'Refined' types, magicking up the
---   claim that one predicate is entirely equivalent to another.
---
---   @since 0.3.0.0
-reallyUnsafePredEquiv :: Coercion (Refined p x) (Refined q x)
-reallyUnsafePredEquiv = Coercion
--- Note: reallyUnsafePredEquiv =
--- sym 'reallyUnsafeUnderlyingRefined' `trans` 'reallyUnsafeUnderlyingRefined'
-
-#if __GLASGOW_HASKELL__ >= 805
--- | Reveal that @x@ and @'Refined' p x@ are 'Coercible' for
--- /all/ @x@ and @p@ simultaneously.
---
--- === Example
---
--- @
--- reallyUnsafePredEquiv :: Coercion (Refined p x) (Refined q x)
--- reallyUnsafePredEquiv = reallyUnsafeAllUnderlyingRefined Coercion
--- @
---
---   @since 0.3.0.0
-reallyUnsafeAllUnderlyingRefined
-  :: ((forall x y p. (Coercible x y => Coercible y (Refined p x))) => r) -> r
--- Why is this constraint so convoluted? Because otherwise the constraint
--- solver doesn't handle transitivity properly. See "Safe Zero-cost Coercions
--- for Haskell" by Breitner et al.
-reallyUnsafeAllUnderlyingRefined r = r
-#endif
+--------------------------------------------------------------------------------++-- Copyright © 2015 Nikita Volkov+-- Copyright © 2018 Remy Goldschmidt+-- Copyright © 2020 chessai+--+-- Permission is hereby granted, free of charge, to any person+-- obtaining a copy of this software and associated documentation+-- files (the "Software"), to deal in the Software without+-- restriction, including without limitation the rights to use,+-- copy, modify, merge, publish, distribute, sublicense, and/or sell+-- copies of the Software, and to permit persons to whom the+-- Software is furnished to do so, subject to the following+-- conditions:+--+-- The above copyright notice and this permission notice shall be+-- included in all copies or substantial portions of the Software.+--+-- THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,+-- EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES+-- OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND+-- NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT+-- HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,+-- WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING+-- FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR+-- OTHER DEALINGS IN THE SOFTWARE.++--------------------------------------------------------------------------------++{-# LANGUAGE CPP #-}+{-# LANGUAGE FlexibleContexts #-}+{-# LANGUAGE PolyKinds #-}+#if __GLASGOW_HASKELL__ >= 805+{-# LANGUAGE QuantifiedConstraints #-}+{-# LANGUAGE RankNTypes #-}+#endif+{-# OPTIONS_GHC -Wall #-}++--------------------------------------------------------------------------------++-- | This module exposes /unsafe/ refinements. An /unsafe/ refinement+--   is one which either does not make the guarantee of totality in construction+--   of the 'Refined' value or does not perform a check of the refinement+--   predicate. It is recommended only to use this when you can manually prove+--   that the refinement predicate holds.+module Refined.Unsafe+  ( -- * 'Refined'+    Refined++    -- ** Creation+  , reallyUnsafeRefine+  , unsafeRefine++    -- ** Coercion+  , reallyUnsafeUnderlyingRefined+#if __GLASGOW_HASKELL__ >= 805+  , reallyUnsafeAllUnderlyingRefined+#endif+  , reallyUnsafePredEquiv+  ) where++--------------------------------------------------------------------------------++import           Control.Exception            (displayException)+import           Data.Coerce                  (coerce)++import           Refined                      (Predicate, refine)+import           Refined.Unsafe.Type          (Refined(Refined))+import           Data.Type.Coercion           (Coercion (..))+#if __GLASGOW_HASKELL__ >= 805+import           Data.Coerce                  (Coercible)+#endif++--------------------------------------------------------------------------------++-- | Constructs a 'Refined' value at run-time,+--   calling 'Prelude.error' if the value+--   does not satisfy the predicate.+--+--   WARNING: this function is not total!+--+--   @since 0.2.0.0+unsafeRefine :: (Predicate p x) => x -> Refined p x+unsafeRefine = either (error . displayException) id . refine+{-# INLINABLE unsafeRefine #-}++-- | Constructs a 'Refined' value, completely+--   ignoring any refinements! Use this only+--   when you can manually prove that the refinement+--   holds.+--+--   @since 0.3.0.0+reallyUnsafeRefine :: x -> Refined p x+reallyUnsafeRefine = coerce+{-# INLINE reallyUnsafeRefine #-}++-- | A coercion between a type and any refinement of that type.+--   See "Data.Type.Coercion" for functions manipulating+--   coercions.+--+--   @since 0.3.0.0+reallyUnsafeUnderlyingRefined :: Coercion x (Refined p x)+reallyUnsafeUnderlyingRefined = Coercion++-- | A coercion between two 'Refined' types, magicking up the+--   claim that one predicate is entirely equivalent to another.+--+--   @since 0.3.0.0+reallyUnsafePredEquiv :: Coercion (Refined p x) (Refined q x)+reallyUnsafePredEquiv = Coercion+-- Note: reallyUnsafePredEquiv =+-- sym 'reallyUnsafeUnderlyingRefined' `trans` 'reallyUnsafeUnderlyingRefined'++#if __GLASGOW_HASKELL__ >= 805+-- | Reveal that @x@ and @'Refined' p x@ are 'Coercible' for+-- /all/ @x@ and @p@ simultaneously.+--+-- === Example+--+-- @+-- reallyUnsafePredEquiv :: Coercion (Refined p x) (Refined q x)+-- reallyUnsafePredEquiv = reallyUnsafeAllUnderlyingRefined Coercion+-- @+--+--   @since 0.3.0.0+reallyUnsafeAllUnderlyingRefined+  :: ((forall x y p. (Coercible x y => Coercible y (Refined p x))) => r) -> r+-- Why is this constraint so convoluted? Because otherwise the constraint+-- solver doesn't handle transitivity properly. See "Safe Zero-cost Coercions+-- for Haskell" by Breitner et al.+reallyUnsafeAllUnderlyingRefined r = r+#endif
src/Refined/Unsafe/Type.hs view
@@ -1,81 +1,81 @@---------------------------------------------------------------------------------
-
--- Copyright © 2015 Nikita Volkov
--- Copyright © 2018 Remy Goldschmidt
--- Copyright © 2020 chessai
---
--- Permission is hereby granted, free of charge, to any person
--- obtaining a copy of this software and associated documentation
--- files (the "Software"), to deal in the Software without
--- restriction, including without limitation the rights to use,
--- copy, modify, merge, publish, distribute, sublicense, and/or sell
--- copies of the Software, and to permit persons to whom the
--- Software is furnished to do so, subject to the following
--- conditions:
---
--- The above copyright notice and this permission notice shall be
--- included in all copies or substantial portions of the Software.
---
--- THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
--- EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
--- OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
--- NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
--- HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
--- WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
--- FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
--- OTHER DEALINGS IN THE SOFTWARE.
-
---------------------------------------------------------------------------------
-
-{-# LANGUAGE CPP                        #-}
-{-# LANGUAGE DeriveFoldable             #-}
-{-# LANGUAGE DerivingStrategies         #-}
-{-# LANGUAGE GeneralizedNewtypeDeriving #-}
-{-# LANGUAGE PolyKinds                  #-}
-{-# LANGUAGE RoleAnnotations            #-}
-{-# LANGUAGE TemplateHaskell            #-}
-
---------------------------------------------------------------------------------
-
--- | This module exports the 'Refined' type with its
---   constructor. This is very risky! In particular, the 'Data.Coerce.Coercible'
---   instances will be visible throughout the importing module.
---   It is usually better to build the necessary coercions locally
---   using the utilities in "Refined.Unsafe", but in some cases
---   it may be more convenient to write a separate module that
---   imports this one and exports some large coercion.
-module Refined.Unsafe.Type
-  ( Refined(Refined)
-  ) where
-
-import           Control.DeepSeq              (NFData)
-import           Data.Hashable (Hashable)
-import qualified Language.Haskell.TH.Syntax   as TH
-
--- | A refinement type, which wraps a value of type @x@.
---
---   @since 0.1.0.0
-newtype Refined (p :: k) x
-  = Refined x -- ^ @since 0.1.0.0
-  deriving newtype
-    ( Eq -- ^ @since 0.1.0.0
-    , Ord -- ^ @since 0.1.0.0
-    , Hashable -- ^ @since 0.6.3
-    , NFData -- ^ @since 0.5
-    )
-  deriving stock
-    ( Show -- ^ @since 0.1.0.0
-    )
-  deriving stock
-    ( Foldable -- ^ @since 0.2
-    )
-
--- | @since 0.3.0.0
-type role Refined nominal nominal
-
--- | @since 0.1.0.0
-instance (TH.Lift x) => TH.Lift (Refined p x) where
-  lift (Refined a) = [|Refined a|]
-#if MIN_VERSION_template_haskell(2,16,0)
-  liftTyped (Refined a) = [||Refined a||]
-#endif
+--------------------------------------------------------------------------------++-- Copyright © 2015 Nikita Volkov+-- Copyright © 2018 Remy Goldschmidt+-- Copyright © 2020 chessai+--+-- Permission is hereby granted, free of charge, to any person+-- obtaining a copy of this software and associated documentation+-- files (the "Software"), to deal in the Software without+-- restriction, including without limitation the rights to use,+-- copy, modify, merge, publish, distribute, sublicense, and/or sell+-- copies of the Software, and to permit persons to whom the+-- Software is furnished to do so, subject to the following+-- conditions:+--+-- The above copyright notice and this permission notice shall be+-- included in all copies or substantial portions of the Software.+--+-- THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,+-- EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES+-- OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND+-- NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT+-- HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,+-- WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING+-- FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR+-- OTHER DEALINGS IN THE SOFTWARE.++--------------------------------------------------------------------------------++{-# LANGUAGE CPP                        #-}+{-# LANGUAGE DeriveFoldable             #-}+{-# LANGUAGE DerivingStrategies         #-}+{-# LANGUAGE GeneralizedNewtypeDeriving #-}+{-# LANGUAGE PolyKinds                  #-}+{-# LANGUAGE RoleAnnotations            #-}+{-# LANGUAGE TemplateHaskell            #-}++--------------------------------------------------------------------------------++-- | This module exports the 'Refined' type with its+--   constructor. This is very risky! In particular, the 'Data.Coerce.Coercible'+--   instances will be visible throughout the importing module.+--   It is usually better to build the necessary coercions locally+--   using the utilities in "Refined.Unsafe", but in some cases+--   it may be more convenient to write a separate module that+--   imports this one and exports some large coercion.+module Refined.Unsafe.Type+  ( Refined(Refined)+  ) where++import           Control.DeepSeq              (NFData)+import           Data.Hashable (Hashable)+import qualified Language.Haskell.TH.Syntax   as TH++-- | A refinement type, which wraps a value of type @x@.+--+--   @since 0.1.0.0+newtype Refined (p :: k) x+  = Refined x -- ^ @since 0.1.0.0+  deriving newtype+    ( Eq -- ^ @since 0.1.0.0+    , Ord -- ^ @since 0.1.0.0+    , Hashable -- ^ @since 0.6.3+    , NFData -- ^ @since 0.5+    )+  deriving stock+    ( Show -- ^ @since 0.1.0.0+    )+  deriving stock+    ( Foldable -- ^ @since 0.2+    )++-- | @since 0.3.0.0+type role Refined nominal nominal++-- | @since 0.1.0.0+instance (TH.Lift x) => TH.Lift (Refined p x) where+  lift (Refined a) = [|Refined a|]+#if MIN_VERSION_template_haskell(2,16,0)+  liftTyped (Refined a) = [||Refined a||]+#endif
test/Compiles.hs view
@@ -1,58 +1,58 @@-{-# language
-    AllowAmbiguousTypes
-  , DataKinds
-  , FlexibleInstances
-  , MultiParamTypeClasses
-  , OverloadedStrings
-  , TemplateHaskell
-  , TypeApplications
-  #-}
-
-module Main (main) where
-
-import Refined
-import Data.Void (Void)
-
-id_   = $$(refineTH_ @IdPred     @Int 3)
-even_ = $$(refineTH_ @(Not Even) @Int 3)
-odd_  = $$(refineTH_ @Odd        @Int 3)
-
---fails =
---  $$(refineTH
---      @( And
---           NonEmpty
---           ( Empty
---           )
---       )
---      @[Int]
---
---       [1,2,3]
---    )
-
-
---foo = $$(refineTH
---        @( And
---             Even
---             ( Xor
---                 ( And
---                     (Not (DivisibleBy 3))
---                     IdPred
---                 )
---                 (DivisibleBy 2)
---             )
---         )
---        @Int
---        3)
---bar = case foo of
---  Left e -> e
---  Right _ -> error "bad!"
-
-main :: IO ()
-main = do
-  putStrLn "refined/test/Compiles.hs: it compiles!"
-  foldMap print
-    [ id_
-    , even_
-    , odd_
-    ]
---  print bar
+{-# language+    AllowAmbiguousTypes+  , DataKinds+  , FlexibleInstances+  , MultiParamTypeClasses+  , OverloadedStrings+  , TemplateHaskell+  , TypeApplications+  #-}++module Main (main) where++import Refined+import Data.Void (Void)++id_   = $$(refineTH_ @IdPred     @Int 3)+even_ = $$(refineTH_ @(Not Even) @Int 3)+odd_  = $$(refineTH_ @Odd        @Int 3)++--fails =+--  $$(refineTH+--      @( And+--           NonEmpty+--           ( Empty+--           )+--       )+--      @[Int]+--+--       [1,2,3]+--    )+++--foo = $$(refineTH+--        @( And+--             Even+--             ( Xor+--                 ( And+--                     (Not (DivisibleBy 3))+--                     IdPred+--                 )+--                 (DivisibleBy 2)+--             )+--         )+--        @Int+--        3)+--bar = case foo of+--  Left e -> e+--  Right _ -> error "bad!"++main :: IO ()+main = do+  putStrLn "refined/test/Compiles.hs: it compiles!"+  foldMap print+    [ id_+    , even_+    , odd_+    ]+--  print bar
test/QuickCheck.hs view
@@ -1,63 +1,63 @@-{-# language
-    DataKinds
-  , GeneralizedNewtypeDeriving
-  , ScopedTypeVariables
-  , TypeApplications
-  , TypeOperators
-  , ViewPatterns
-  #-}
-
-module Main (main) where
-
-import Test.QuickCheck
-import Refined
-
-main :: IO ()
-main = mapM_ quickCheck
-  [ prop_lt
-  , prop_gt
-  , prop_from
-  , prop_to
-  , prop_bad
-  , prop_shrink_lt
-  , prop_shrink_gt
-  ]
-
-iddy :: (Eq a) => Refined p a -> Bool
-iddy (unrefine -> r) = r == r
-
-prop_lt :: Property
-prop_lt = property $ \(r :: Refined (LessThan 5) MyInt) -> iddy r
-
-prop_gt :: Property
-prop_gt = property $ \(r :: Refined (GreaterThan 5) MyInt) -> iddy r
-
-prop_from :: Property
-prop_from = property $ \(r :: Refined (From 9) MyInt) -> iddy r
-
-prop_to :: Property
-prop_to = property $ \(r :: Refined (To 9) MyInt) -> iddy r
-
-prop_bad :: Property
-prop_bad = expectFailure $ ioProperty $ do
-  -- expectFailure expects the error inside the property itself, not while
-  -- generating the argument to the property. So we need to hide generation from
-  -- it.
-  r :: Refined (EqualTo 2 && EqualTo 3) MyInt <- generate arbitrary
-  return $ iddy r
-
-prop_shrink_lt :: Property
-prop_shrink_lt = property $ \(r :: Refined (LessThan 5) MyInt) ->
-  (unrefine <$> shrink r) == shrink (unrefine r)
-
-prop_shrink_gt :: Property
-prop_shrink_gt = property $ \(r :: Refined (GreaterThan 5) MyInt) ->
-  (unrefine <$> shrink r) == (filter (> 5) $ shrink (unrefine r))
-
-newtype MyInt = MyInt Int
-  deriving (Eq, Ord, Show, Num)
-
-instance Arbitrary MyInt where
-  arbitrary = MyInt <$> choose (0,100)
-  shrink (MyInt 0) = []
-  shrink (MyInt n) = MyInt <$> [0..n-1]
+{-# language+    DataKinds+  , GeneralizedNewtypeDeriving+  , ScopedTypeVariables+  , TypeApplications+  , TypeOperators+  , ViewPatterns+  #-}++module Main (main) where++import Test.QuickCheck+import Refined++main :: IO ()+main = mapM_ quickCheck+  [ prop_lt+  , prop_gt+  , prop_from+  , prop_to+  , prop_bad+  , prop_shrink_lt+  , prop_shrink_gt+  ]++iddy :: (Eq a) => Refined p a -> Bool+iddy (unrefine -> r) = r == r++prop_lt :: Property+prop_lt = property $ \(r :: Refined (LessThan 5) MyInt) -> iddy r++prop_gt :: Property+prop_gt = property $ \(r :: Refined (GreaterThan 5) MyInt) -> iddy r++prop_from :: Property+prop_from = property $ \(r :: Refined (From 9) MyInt) -> iddy r++prop_to :: Property+prop_to = property $ \(r :: Refined (To 9) MyInt) -> iddy r++prop_bad :: Property+prop_bad = expectFailure $ ioProperty $ do+  -- expectFailure expects the error inside the property itself, not while+  -- generating the argument to the property. So we need to hide generation from+  -- it.+  r :: Refined (EqualTo 2 && EqualTo 3) MyInt <- generate arbitrary+  return $ iddy r++prop_shrink_lt :: Property+prop_shrink_lt = property $ \(r :: Refined (LessThan 5) MyInt) ->+  (unrefine <$> shrink r) == shrink (unrefine r)++prop_shrink_gt :: Property+prop_shrink_gt = property $ \(r :: Refined (GreaterThan 5) MyInt) ->+  (unrefine <$> shrink r) == (filter (> 5) $ shrink (unrefine r))++newtype MyInt = MyInt Int+  deriving (Eq, Ord, Show, Num)++instance Arbitrary MyInt where+  arbitrary = MyInt <$> choose (0,100)+  shrink (MyInt 0) = []+  shrink (MyInt n) = MyInt <$> [0..n-1]