multiplate-simplified (empty) → 0.0.0.1

raw patch · 35 files changed

+1787/−0 lines, 35 filesdep +basedep +multiplatedep +transformerssetup-changedbinary-added

Dependencies added: base, multiplate, transformers

Files

• CHANGELOG +0/−0
• Data/Generics/Multiplate/Simplified.hs +337/−0
• LICENSE +20/−0
• Setup.lhs +4/−0
• dist/build/Data/Generics/Multiplate/NoProjector.hi binary
• dist/build/Data/Generics/Multiplate/NoProjector.o binary
• dist/build/Data/Generics/Multiplate/Simplified.hi binary
• dist/build/Data/Generics/Multiplate/Simplified.o binary
• dist/build/HSmultiplate-noprojector-0.0.0.1.o binary
• dist/build/HSmultiplate-noprojector-0.0.1.1.o binary
• dist/build/HSmultiplate-simplified-0.0.0.1.o binary
• dist/build/autogen/Paths_multiplate_noprojector.hs +29/−0
• dist/build/autogen/Paths_multiplate_simplified.hs +29/−0
• dist/build/autogen/cabal_macros.h +23/−0
• dist/build/libHSmultiplate-noprojector-0.0.0.1.a binary
• dist/build/libHSmultiplate-noprojector-0.0.1.1.a binary
• dist/build/libHSmultiplate-simplified-0.0.0.1.a binary
• dist/doc/html/multiplate-simplified/Data-Generics-Multiplate-Simplifi +118/−0
• dist/doc/html/multiplate-simplified/doc-index.html +4/−0
• dist/doc/html/multiplate-simplified/frames.html +28/−0
• dist/doc/html/multiplate-simplified/haddock-util.js +311/−0
• dist/doc/html/multiplate-simplified/haddock.css +297/−0
• dist/doc/html/multiplate-simplified/haskell_icon.gif binary
• dist/doc/html/multiplate-simplified/hslogo-16.png binary
• dist/doc/html/multiplate-simplified/index-frames.html +4/−0
• dist/doc/html/multiplate-simplified/index.html +8/−0
• dist/doc/html/multiplate-simplified/mini_Data-Generics-Multiplate-Sim +4/−0
• dist/doc/html/multiplate-simplified/minus.gif binary
• dist/doc/html/multiplate-simplified/multiplate-simplified.haddock binary
• dist/doc/html/multiplate-simplified/ocean.css +542/−0
• dist/doc/html/multiplate-simplified/plus.gif binary
• dist/doc/html/multiplate-simplified/synopsis.png binary
• dist/package.conf.inplace +2/−0
• dist/setup-config +2/−0
• multiplate-simplified.cabal +25/−0

@@ -0,0 +1,337 @@+{-# LANGUAGE MultiParamTypeClasses #-}++{-|+0\. Given these data types for a simple language:++@data Prog a = Prog a [Decl]++data Decl = VarDecl Var Expr+          | FunDecl Var [Var] [Decl]+          | Return Expr++data Expr = Ref String+          | Number Int+          | Add Expr Expr+          | Mul Expr Expr++data Var = Var String+@++\----------------------------------------++1\. Define a @Plate f@ data type++The name of the fields should refer to the actual data type: they will be prefixed with a \"p\" here.+These field accessors are called projectors for the given plate and the actual data type (see the @Projector p a@ type alias).+You have to use projectors to provide definition for the @multiplate@ method, and also for functions like @foldFor@.+With this module, you only need projectors for the 'IsProjector' instance definition.+(However you do have to use projectors anyway if @List, Maybe, (,)@, etc. are not part of the plate,+in which case you have to explicitly traverse them to expose their structure to Multiplate. See: point 3.)++@data Plate f = Plate+  { pProg :: forall a. Prog a -> f (Prog a)+  , pDecl :: Decl -> f Decl+  , pExpr :: Expr -> f Expr+  , pVar  :: Var  -> f Var+  }+@++\----------------------------------------++2\. Define 'IsProjector' instances for @Plate@ and all the actual data types++@instance IsProjector Plate (Prog a) where+  getProjector _ _ = pProg++instance IsProjector Plate Decl where+  getProjector _ _ = pDecl++instance IsProjector Plate Expr where+  getProjector _ _ = pExpr++instance IsProjector Plate Var where+  getProjector _ _ = pVar+@++\----------------------------------------++3\. Define a single @Multiplate@ instance for @Plate@++Definitions required without this module are given in the comments.+(The \"b\" prefixes in functions stand for \"build\".)++@+instance Multiplate Plate where+  mkPlate build = Plate (build pProg) (build pDecl) (build pExpr) (build pVar)+  multiplate p  = Plate bProg bDecl bExpr bVar where+@++@    \-- you have to define these here to capture the \'p\' parameter+    constr \<$>: a = constr \<$> (getProjector p a) p a+    appl   \<*>: a = appl   \<*> (getProjector p a) p a+    infixl 4 \<$>:+    infixl 4 \<*>:+@++@+    \-- definitions:+@+   +@    \-- lists, maybe values, etc. have a Traversable instance, which has to be used for these \[\*\]+    bProg (Prog a decls)           = Prog \<$> pure a \<*> traverse (pDecl p) decls    +@++@    bDecl (VarDecl var expr)       = VarDecl \<$>: var \<*>: expr+    \-- bDecl (VarDecl str expr)    = VarDecl \<$> pVar p var \<*> pExpr p expr+    bDecl (FunDecl var vars decls) = FunDecl \<$>: var \<*> traverse (pVar p) vars \<*> traverse (pDecl p) decls+    bDecl (Return expr)            = Return \<$>: expr+    \-- bDecl (Return expr)         = Return \<$> pExpr p expr+@++@    bExpr (Ref str)                = Ref \<$> pure str+    bExpr (Number int)             = Number \<$> pure int+    bExpr (Add expr expr\')         = Add \<$>: expr \<*>: expr\'+    \-- bExpr (Add expr expr\')      = Add \<$> pExpr p expr \<*> pExpr p expr\'+    bExpr (Mul expr expr\')         = Mul \<$>: expr \<*>: expr\'+    \-- bExpr (Mul expr expr\')      = Mul \<$> pExpr p expr \<*> pExpr p expr\'+@+++@    bVar (Var str)                 = Var \<$> pure str+@++\[\*\] However, tuples for example are not @Traversable@ (since they don't have the appropriate kind)+so instead of @traverse@ one can use a function like this:++@traverseTuple fa fb (a, b) = (,) \<$> fa a \<*> fb b++bConstr (Constr a b) = Constr \<$> traverseTuple (pTypeOfA p) (pTypeOfB p) (a, b)+@++OR+simply add tuples for the plate definition, just like @Expr@ or @Decl@.+This also can be done for @List, Maybe@, etc., and then the @traverse@ functions can be replaced with @\<$>:@, @\<*>:@,+and generic functions defined in this module can be used for these too.++\----------------------------------------++4\. Using multiplate++In a given program:++@var a = 1;+function func(arg1, arg2){+  return a + arg1+}+@++and its representation:++@prog :: Prog ()+prog = Prog () [VarDecl (Var \"a\") (Number 1)+               ,FunDecl (Var \"func\") [(Var \"arg1\"), (Var \"arg2\")]+                    [Return (Add (Ref \"a\") (Ref \"arg1\"))]]+@++to get the list of variables one has to define a plate by+updating another plate containing defaults for all types (@purePlate@) by+modifying the field that correpsondes to 'Var' data type.+Then create another plate where the order of traversal is set (@preorderFold@),+and finally call 'gfoldFor' with the plate we defined, and then with the actual data type.+Without this module instead of 'gfoldFor' one can only use @foldFor@,+which requires an extra argument (a projector), which corresponds to the root datatype:+in this case it's @pProg@ because our program has a 'Prog' data type.+But 'gfoldFor', 'gtraverseFor', etc. can be used with any data type,+because in the 'IsProjector' instances we already defined what it's projector is.++@+variablesPlate :: Plate (Constant [String])+variablesPlate = preorderFold purePlate { pVar = (\(Var str) -> Constant [str]) }++vars :: (IsProjector Plate a) => a -> [String]+vars  x = gfoldFor       variablesPlate x++vars' :: Prog a -> [String]+vars' x =  foldFor pProg variablesPlate x+@++@> vars prog+[\"a\",\"func\",\"arg1\",\"arg2\"]+@++\----------------------------------------++All of this code is included in the source at the end of this file for easier copying.++Multiplate documentation: <http://hackage.haskell.org/package/multiplate>++-}+++module Data.Generics.Multiplate.Simplified where++import Data.Generics.Multiplate+import Data.Functor.Identity+import Data.Functor.Constant+import Data.Functor.Compose+import Data.Monoid++class (Multiplate p) => IsProjector p a where+    getProjector :: p appl -> a -> Projector p a+++--traverseFor :: (Multiplate p) => Projector p a -> p Identity -> a -> a+--traverseFor proj f = runIdentity . proj f+gtraverseFor :: (IsProjector p a) => p Identity -> a -> a+gtraverseFor f a = traverseFor (getProjector f a) f a++--traverseMFor :: (Multiplate p, Monad m) => Projector p a -> p m -> a -> m a+--traverseMFor proj f = proj f+gtraverseMFor :: (IsProjector p a, Monad m) => p m -> a -> m a+gtraverseMFor f a = traverseMFor (getProjector f a) f a++--foldFor :: (Multiplate p) => Projector p a -> p (Constant o) -> a -> o+--foldFor proj f = getConstant . proj f+gfoldFor :: (IsProjector p a) => p (Constant o) -> a -> o+gfoldFor f a = foldFor (getProjector f a) f a++--unwrapFor :: (Multiplate p) => (o -> b) -> Projector p a -> p (Constant o) -> a -> b+--unwrapFor unwrapper proj f = unwrapper . foldFor proj f+gunwrapFor :: (IsProjector p a) => (o -> b) -> p (Constant o) -> a -> b+gunwrapFor unwrapper f a = unwrapFor unwrapper (getProjector f a) f a+++gsumFor     :: (IsProjector p a) => p (Constant (Sum n)) -> a -> n+gsumFor     = gunwrapFor getSum++gproductFor :: (IsProjector p a) => p (Constant (Product n)) -> a -> n+gproductFor = gunwrapFor getProduct++gallFor     :: (IsProjector p a) => p (Constant All) -> a -> Bool+gallFor     = gunwrapFor getAll++ganyFor     :: (IsProjector p a) => p (Constant Any) -> a -> Bool+ganyFor     = gunwrapFor getAny++gfirstFor   :: (IsProjector p a) => p (Constant (First b)) -> a -> Maybe b+gfirstFor   = gunwrapFor getFirst++glastFor    :: (IsProjector p a) => p (Constant (Last b)) -> a -> Maybe b+glastFor    = gunwrapFor getLast++++{-++{-# LANGUAGE Rank2Types, MultiParamTypeClasses #-}
+
+import Data.Generics.Multiplate
+import Data.Generics.Multiplate.Simplified
+import Data.Functor.Identity
+import Data.Functor.Constant
+import Data.Functor.Compose
+import Data.Monoid
+import Data.Traversable
+import Control.Applicative
+--import Control.Monad
+--import Control.Monad.Trans.Maybe
+--import Control.Newtype
+
+
+
+data Prog a = Prog a [Decl]
+
+data Decl = VarDecl Var Expr
+          | FunDecl Var [Var] [Decl]
+          | Return Expr
+
+data Expr = Ref String
+          | Number Int
+          | Add Expr Expr
+          | Mul Expr Expr
+
+data Var = Var String
+
+
+
+data Plate f = Plate
+  { pProg :: forall a. Prog a -> f (Prog a)
+  , pDecl :: Decl -> f Decl
+  , pExpr :: Expr -> f Expr
+  , pVar  :: Var  -> f Var
+  }
+
+
+
+instance IsProjector Plate (Prog a) where
+  getProjector _ _ = pProg
+
+instance IsProjector Plate Decl where
+  getProjector _ _ = pDecl
+
+instance IsProjector Plate Expr where
+  getProjector _ _ = pExpr
+
+instance IsProjector Plate Var where
+  getProjector _ _ = pVar
+
+
+
+
+instance Multiplate Plate where
+
+  mkPlate build = Plate (build pProg) (build pDecl) (build pExpr) (build pVar)
+
+  multiplate p  = Plate bProg bDecl bExpr bVar where
+
+   -- you have to define these here to capture the 'p' parameter
+   constr <$>: a = constr <$> (getProjector p a) p a
+   appl   <*>: a = appl   <*> (getProjector p a) p a
+   infixl 4 <$>:
+   infixl 4 <*>:
+
+   -- definitions
+   
+   -- lists, maybe values, etc. have a Traversable instance, which has to be used for these [*]
+
+   bProg (Prog a decls)           = Prog <$> pure a <*> traverse (pDecl p) decls
+
+   bDecl (VarDecl var expr)       = VarDecl <$>: var <*>: expr
+   -- bDecl (VarDecl str expr)    = VarDecl <$> pVar p var <*> pExpr p expr
+
+   bDecl (FunDecl var vars decls) = FunDecl <$>: var <*> traverse (pVar p) vars <*> traverse (pDecl p) decls
+   
+   bDecl (Return expr)            = Return <$>: expr
+   -- bDecl (Return expr)         = Return <$> pExpr p expr
+
+   bExpr (Ref str)                = Ref <$> pure str
+   
+   bExpr (Number int)             = Number <$> pure int
+
+   bExpr (Add expr expr')         = Add <$>: expr <*>: expr'
+   -- bExpr (Add expr expr')      = Add <$> pExpr p expr <*> pExpr p expr'
+   
+   bExpr (Mul expr expr')         = Mul <$>: expr <*>: expr'
+   -- bExpr (Mul expr expr')      = Mul <$> pExpr p expr <*> pExpr p expr'
+   
+   bVar (Var str)                 = Var <$> pure str
+
+
+-- var a = 1;
+-- function func(arg1, arg2){
+--   return a + arg1
+-- }
+
+
+-- prog :: Prog ()
+prog = Prog () [VarDecl (Var "a") (Number 1)
+               ,FunDecl (Var "func") [(Var "arg1"), (Var "arg2")]
+                    [Return (Add (Ref "a") (Ref "arg1"))]]
+
+-- variablesPlate :: Plate (Constant [String])
+variablesPlate = preorderFold purePlate { pVar = (\(Var str) -> Constant [str]) }
+
+vars  x = gfoldFor       variablesPlate x
+vars' x =  foldFor pProg variablesPlate x
++-}

@@ -0,0 +1,20 @@+Copyright (c) 2011+Balazs Endresz++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.

@@ -0,0 +1,4 @@+#! /usr/bin/env runhaskell+ +> import Distribution.Simple+> main = defaultMain

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@@ -0,0 +1,29 @@+module Paths_multiplate_noprojector (+    version,+    getBinDir, getLibDir, getDataDir, getLibexecDir,+    getDataFileName+  ) where++import Data.Version (Version(..))+import System.Environment (getEnv)++version :: Version+version = Version {versionBranch = [0,0,0,1], versionTags = []}++bindir, libdir, datadir, libexecdir :: FilePath++bindir     = "C:\\Users\\EB\\AppData\\Roaming\\cabal\\bin"+libdir     = "C:\\Users\\EB\\AppData\\Roaming\\cabal\\multiplate-noprojector-0.0.0.1\\ghc-6.12.3"+datadir    = "C:\\Users\\EB\\AppData\\Roaming\\cabal\\multiplate-noprojector-0.0.0.1"+libexecdir = "C:\\Users\\EB\\AppData\\Roaming\\cabal\\multiplate-noprojector-0.0.0.1"++getBinDir, getLibDir, getDataDir, getLibexecDir :: IO FilePath+getBinDir = catch (getEnv "multiplate_noprojector_bindir") (\_ -> return bindir)+getLibDir = catch (getEnv "multiplate_noprojector_libdir") (\_ -> return libdir)+getDataDir = catch (getEnv "multiplate_noprojector_datadir") (\_ -> return datadir)+getLibexecDir = catch (getEnv "multiplate_noprojector_libexecdir") (\_ -> return libexecdir)++getDataFileName :: FilePath -> IO FilePath+getDataFileName name = do+  dir <- getDataDir+  return (dir ++ "\\" ++ name)

@@ -0,0 +1,29 @@+module Paths_multiplate_simplified (+    version,+    getBinDir, getLibDir, getDataDir, getLibexecDir,+    getDataFileName+  ) where++import Data.Version (Version(..))+import System.Environment (getEnv)++version :: Version+version = Version {versionBranch = [0,0,0,1], versionTags = []}++bindir, libdir, datadir, libexecdir :: FilePath++bindir     = "C:\\Users\\EB\\AppData\\Roaming\\cabal\\bin"+libdir     = "C:\\Users\\EB\\AppData\\Roaming\\cabal\\multiplate-simplified-0.0.0.1\\ghc-7.0.2"+datadir    = "C:\\Users\\EB\\AppData\\Roaming\\cabal\\multiplate-simplified-0.0.0.1"+libexecdir = "C:\\Users\\EB\\AppData\\Roaming\\cabal\\multiplate-simplified-0.0.0.1"++getBinDir, getLibDir, getDataDir, getLibexecDir :: IO FilePath+getBinDir = catch (getEnv "multiplate_simplified_bindir") (\_ -> return bindir)+getLibDir = catch (getEnv "multiplate_simplified_libdir") (\_ -> return libdir)+getDataDir = catch (getEnv "multiplate_simplified_datadir") (\_ -> return datadir)+getLibexecDir = catch (getEnv "multiplate_simplified_libexecdir") (\_ -> return libexecdir)++getDataFileName :: FilePath -> IO FilePath+getDataFileName name = do+  dir <- getDataDir+  return (dir ++ "\\" ++ name)

@@ -0,0 +1,23 @@+/* DO NOT EDIT: This file is automatically generated by Cabal */++/* package base-4.3.1.0 */+#define VERSION_base "4.3.1.0"+#define MIN_VERSION_base(major1,major2,minor) (\+  (major1) <  4 || \+  (major1) == 4 && (major2) <  3 || \+  (major1) == 4 && (major2) == 3 && (minor) <= 1)++/* package multiplate-0.0.1.1 */+#define VERSION_multiplate "0.0.1.1"+#define MIN_VERSION_multiplate(major1,major2,minor) (\+  (major1) <  0 || \+  (major1) == 0 && (major2) <  0 || \+  (major1) == 0 && (major2) == 0 && (minor) <= 1)++/* package transformers-0.2.2.0 */+#define VERSION_transformers "0.2.2.0"+#define MIN_VERSION_transformers(major1,major2,minor) (\+  (major1) <  0 || \+  (major1) == 0 && (major2) <  2 || \+  (major1) == 0 && (major2) == 2 && (minor) <= 2)+

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@@ -0,0 +1,118 @@+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"><html xmlns="http://www.w3.org/1999/xhtml"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /><title>Data.Generics.Multiplate.Simplified</title><link href="ocean.css" rel="stylesheet" type="text/css" title="Ocean" /><script src="haddock-util.js" type="text/javascript"></script><script type="text/javascript">//<![CDATA[
+window.onload = function () {pageLoad();setSynopsis("mini_Data-Generics-Multiplate-Simplified.html");};
+//]]>
+</script></head><body><div id="package-header"><ul class="links" id="page-menu"><li><a href="index.html">Contents</a></li><li><a href="doc-index.html">Index</a></li></ul><p class="caption">multiplate-simplified-0.0.0.1: Shorter, more generic functions for Multiplate.</p></div><div id="content"><div id="module-header"><p class="caption">Data.Generics.Multiplate.Simplified</p></div><div id="description"><p class="caption">Description</p><div class="doc"><p>0. Given these data types for a simple language:
+</p><pre>data Prog a = Prog a [Decl]
+
+data Decl = VarDecl Var Expr
+          | FunDecl Var [Var] [Decl]
+          | Return Expr
+
+data Expr = Ref String
+          | Number Int
+          | Add Expr Expr
+          | Mul Expr Expr
+
+data Var = Var String
+</pre><p>----------------------------------------
+</p><p>1. Define a <code>Plate f</code> data type
+</p><p>The name of the fields should refer to the actual data type: they will be prefixed with a &quot;p&quot; here.
+These field accessors are called projectors for the given plate and the actual data type (see the <code>Projector p a</code> type alias).
+You have to use projectors to provide definition for the <code>multiplate</code> method, and also for functions like <code>foldFor</code>.
+With this module, you only need projectors for the <code><a href="Data-Generics-Multiplate-Simplified.html#t:IsProjector">IsProjector</a></code> instance definition.
+(However you do have to use projectors anyway if <code>List, Maybe, (,)</code>, etc. are not part of the plate,
+in which case you have to explicitly traverse them to expose their structure to Multiplate. See: point 3.)
+</p><pre>data Plate f = Plate
+  { pProg :: forall a. Prog a -&gt; f (Prog a)
+  , pDecl :: Decl -&gt; f Decl
+  , pExpr :: Expr -&gt; f Expr
+  , pVar  :: Var  -&gt; f Var
+  }
+</pre><p>----------------------------------------
+</p><p>2. Define <code><a href="Data-Generics-Multiplate-Simplified.html#t:IsProjector">IsProjector</a></code> instances for <code>Plate</code> and all the actual data types
+</p><pre>instance IsProjector Plate (Prog a) where
+  getProjector _ _ = pProg
+
+instance IsProjector Plate Decl where
+  getProjector _ _ = pDecl
+
+instance IsProjector Plate Expr where
+  getProjector _ _ = pExpr
+
+instance IsProjector Plate Var where
+  getProjector _ _ = pVar
+</pre><p>----------------------------------------
+</p><p>3. Define a single <code>Multiplate</code> instance for <code>Plate</code>
+</p><p>Definitions required without this module are given in the comments.
+(The &quot;b&quot; prefixes in functions stand for &quot;build&quot;.)
+</p><pre>
+instance Multiplate Plate where
+  mkPlate build = Plate (build pProg) (build pDecl) (build pExpr) (build pVar)
+  multiplate p  = Plate bProg bDecl bExpr bVar where
+</pre><pre>    -- you have to define these here to capture the 'p' parameter
+    constr &lt;$&gt;: a = constr &lt;$&gt; (getProjector p a) p a
+    appl   &lt;*&gt;: a = appl   &lt;*&gt; (getProjector p a) p a
+    infixl 4 &lt;$&gt;:
+    infixl 4 &lt;*&gt;:
+</pre><pre>
+    -- definitions:
+</pre><pre>    -- lists, maybe values, etc. have a Traversable instance, which has to be used for these [*]
+    bProg (Prog a decls)           = Prog &lt;$&gt; pure a &lt;*&gt; traverse (pDecl p) decls    
+</pre><pre>    bDecl (VarDecl var expr)       = VarDecl &lt;$&gt;: var &lt;*&gt;: expr
+    -- bDecl (VarDecl str expr)    = VarDecl &lt;$&gt; pVar p var &lt;*&gt; pExpr p expr
+    bDecl (FunDecl var vars decls) = FunDecl &lt;$&gt;: var &lt;*&gt; traverse (pVar p) vars &lt;*&gt; traverse (pDecl p) decls
+    bDecl (Return expr)            = Return &lt;$&gt;: expr
+    -- bDecl (Return expr)         = Return &lt;$&gt; pExpr p expr
+</pre><pre>    bExpr (Ref str)                = Ref &lt;$&gt; pure str
+    bExpr (Number int)             = Number &lt;$&gt; pure int
+    bExpr (Add expr expr')         = Add &lt;$&gt;: expr &lt;*&gt;: expr'
+    -- bExpr (Add expr expr')      = Add &lt;$&gt; pExpr p expr &lt;*&gt; pExpr p expr'
+    bExpr (Mul expr expr')         = Mul &lt;$&gt;: expr &lt;*&gt;: expr'
+    -- bExpr (Mul expr expr')      = Mul &lt;$&gt; pExpr p expr &lt;*&gt; pExpr p expr'
+</pre><pre>    bVar (Var str)                 = Var &lt;$&gt; pure str
+</pre><p>[*] However, tuples for example are not <code>Traversable</code> (since they don't have the appropriate kind)
+so instead of <code>traverse</code> one can use a function like this:
+</p><pre>traverseTuple fa fb (a, b) = (,) &lt;$&gt; fa a &lt;*&gt; fb b
+
+bConstr (Constr a b) = Constr &lt;$&gt; traverseTuple (pTypeOfA p) (pTypeOfB p) (a, b)
+</pre><p>OR
+simply add tuples for the plate definition, just like <code>Expr</code> or <code>Decl</code>.
+This also can be done for <code>List, Maybe</code>, etc., and then the <code>traverse</code> functions can be replaced with <code>&lt;$&gt;:</code>, <code>&lt;*&gt;:</code>,
+and generic functions defined in this module can be used for these too.
+</p><p>----------------------------------------
+</p><p>4. Using multiplate
+</p><p>In a given program:
+</p><pre>var a = 1;
+function func(arg1, arg2){
+  return a + arg1
+}
+</pre><p>and its representation:
+</p><pre>prog :: Prog ()
+prog = Prog () [VarDecl (Var &quot;a&quot;) (Number 1)
+               ,FunDecl (Var &quot;func&quot;) [(Var &quot;arg1&quot;), (Var &quot;arg2&quot;)]
+                    [Return (Add (Ref &quot;a&quot;) (Ref &quot;arg1&quot;))]]
+</pre><p>to get the list of variables one has to define a plate by
+updating another plate containing defaults for all types (<code>purePlate</code>) by
+modifying the field that correpsondes to <code>Var</code> data type.
+Then create another plate where the order of traversal is set (<code>preorderFold</code>),
+and finally call <code><a href="Data-Generics-Multiplate-Simplified.html#v:gfoldFor">gfoldFor</a></code> with the plate we defined, and then with the actual data type.
+Without this module instead of <code><a href="Data-Generics-Multiplate-Simplified.html#v:gfoldFor">gfoldFor</a></code> one can only use <code>foldFor</code>,
+which requires an extra argument (a projector), which corresponds to the root datatype:
+in this case it's <code>pProg</code> because our program has a <code>Prog</code> data type.
+But <code><a href="Data-Generics-Multiplate-Simplified.html#v:gfoldFor">gfoldFor</a></code>, <code><a href="Data-Generics-Multiplate-Simplified.html#v:gtraverseFor">gtraverseFor</a></code>, etc. can be used with any data type,
+because in the <code><a href="Data-Generics-Multiplate-Simplified.html#t:IsProjector">IsProjector</a></code> instances we already defined what it's projector is.
+</p><pre>
+variablesPlate :: Plate (Constant [String])
+variablesPlate = preorderFold purePlate { pVar = ((Var str) -&gt; Constant [str]) }
+
+vars :: (IsProjector Plate a) =&gt; a -&gt; [String]
+vars  x = gfoldFor       variablesPlate x
+
+vars' :: Prog a -&gt; [String]
+vars' x =  foldFor pProg variablesPlate x
+</pre><pre>&gt; vars prog
+[&quot;a&quot;,&quot;func&quot;,&quot;arg1&quot;,&quot;arg2&quot;]
+</pre><p>----------------------------------------
+</p><p>All of this code is included in the source at the end of this file for easier copying.
+</p><p>Multiplate documentation: <a href="http://hackage.haskell.org/package/multiplate">http://hackage.haskell.org/package/multiplate</a>
+</p></div></div><div id="interface"><h1>Documentation</h1><div class="top"><p class="src"><span class="keyword">class</span> Multiplate p =&gt; <a name="t:IsProjector" class="def">IsProjector</a> p a  <span class="keyword">where</span></p><div class="subs methods"><p class="caption">Methods</p><p class="src"><a name="v:getProjector" class="def">getProjector</a> ::  p appl -&gt; a -&gt; Projector p a</p></div></div><div class="top"><p class="src"><a name="v:gtraverseFor" class="def">gtraverseFor</a> :: <a href="Data-Generics-Multiplate-Simplified.html#t:IsProjector">IsProjector</a> p a =&gt; p Identity -&gt; a -&gt; a</p></div><div class="top"><p class="src"><a name="v:gtraverseMFor" class="def">gtraverseMFor</a> :: (<a href="Data-Generics-Multiplate-Simplified.html#t:IsProjector">IsProjector</a> p a, <a href="C:\Program Files\Haskell Platform\2011.2.0.0\lib/../doc/html/libraries/base-4.3.1.0/Control-Monad.html#t:Monad">Monad</a> m) =&gt; p m -&gt; a -&gt; m a</p></div><div class="top"><p class="src"><a name="v:gfoldFor" class="def">gfoldFor</a> :: <a href="Data-Generics-Multiplate-Simplified.html#t:IsProjector">IsProjector</a> p a =&gt; p (Constant o) -&gt; a -&gt; o</p></div><div class="top"><p class="src"><a name="v:gunwrapFor" class="def">gunwrapFor</a> :: <a href="Data-Generics-Multiplate-Simplified.html#t:IsProjector">IsProjector</a> p a =&gt; (o -&gt; b) -&gt; p (Constant o) -&gt; a -&gt; b</p></div><div class="top"><p class="src"><a name="v:gsumFor" class="def">gsumFor</a> :: <a href="Data-Generics-Multiplate-Simplified.html#t:IsProjector">IsProjector</a> p a =&gt; p (Constant (<a href="C:\Program Files\Haskell Platform\2011.2.0.0\lib/../doc/html/libraries/base-4.3.1.0/Data-Monoid.html#t:Sum">Sum</a> n)) -&gt; a -&gt; n</p></div><div class="top"><p class="src"><a name="v:gproductFor" class="def">gproductFor</a> :: <a href="Data-Generics-Multiplate-Simplified.html#t:IsProjector">IsProjector</a> p a =&gt; p (Constant (<a href="C:\Program Files\Haskell Platform\2011.2.0.0\lib/../doc/html/libraries/base-4.3.1.0/Data-Monoid.html#t:Product">Product</a> n)) -&gt; a -&gt; n</p></div><div class="top"><p class="src"><a name="v:gallFor" class="def">gallFor</a> :: <a href="Data-Generics-Multiplate-Simplified.html#t:IsProjector">IsProjector</a> p a =&gt; p (Constant <a href="C:\Program Files\Haskell Platform\2011.2.0.0\lib/../doc/html/libraries/base-4.3.1.0/Data-Monoid.html#t:All">All</a>) -&gt; a -&gt; <a href="C:\Program Files\Haskell Platform\2011.2.0.0\lib/../doc/html/libraries/base-4.3.1.0/Data-Bool.html#t:Bool">Bool</a></p></div><div class="top"><p class="src"><a name="v:ganyFor" class="def">ganyFor</a> :: <a href="Data-Generics-Multiplate-Simplified.html#t:IsProjector">IsProjector</a> p a =&gt; p (Constant <a href="C:\Program Files\Haskell Platform\2011.2.0.0\lib/../doc/html/libraries/base-4.3.1.0/Data-Monoid.html#t:Any">Any</a>) -&gt; a -&gt; <a href="C:\Program Files\Haskell Platform\2011.2.0.0\lib/../doc/html/libraries/base-4.3.1.0/Data-Bool.html#t:Bool">Bool</a></p></div><div class="top"><p class="src"><a name="v:gfirstFor" class="def">gfirstFor</a> :: <a href="Data-Generics-Multiplate-Simplified.html#t:IsProjector">IsProjector</a> p a =&gt; p (Constant (<a href="C:\Program Files\Haskell Platform\2011.2.0.0\lib/../doc/html/libraries/base-4.3.1.0/Data-Monoid.html#t:First">First</a> b)) -&gt; a -&gt; <a href="C:\Program Files\Haskell Platform\2011.2.0.0\lib/../doc/html/libraries/base-4.3.1.0/Data-Maybe.html#t:Maybe">Maybe</a> b</p></div><div class="top"><p class="src"><a name="v:glastFor" class="def">glastFor</a> :: <a href="Data-Generics-Multiplate-Simplified.html#t:IsProjector">IsProjector</a> p a =&gt; p (Constant (<a href="C:\Program Files\Haskell Platform\2011.2.0.0\lib/../doc/html/libraries/base-4.3.1.0/Data-Monoid.html#t:Last">Last</a> b)) -&gt; a -&gt; <a href="C:\Program Files\Haskell Platform\2011.2.0.0\lib/../doc/html/libraries/base-4.3.1.0/Data-Maybe.html#t:Maybe">Maybe</a> b</p></div></div></div><div id="footer"><p>Produced by <a href="http://www.haskell.org/haddock/">Haddock</a> version 2.9.2</p></div></body></html>

@@ -0,0 +1,4 @@+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"><html xmlns="http://www.w3.org/1999/xhtml"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /><title>multiplate-simplified-0.0.0.1: Shorter, more generic functions for Multiplate. (Index)</title><link href="ocean.css" rel="stylesheet" type="text/css" title="Ocean" /><script src="haddock-util.js" type="text/javascript"></script><script type="text/javascript">//<![CDATA[
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+//]]>
+</script></head><body><div id="package-header"><ul class="links" id="page-menu"><li><a href="index.html">Contents</a></li><li><a href="doc-index.html">Index</a></li></ul><p class="caption">multiplate-simplified-0.0.0.1: Shorter, more generic functions for Multiplate.</p></div><div id="content"><div id="index"><p class="caption">Index</p><table><tr><td class="src">gallFor</td><td class="module"><a href="Data-Generics-Multiplate-Simplified.html#v:gallFor">Data.Generics.Multiplate.Simplified</a></td></tr><tr><td class="src">ganyFor</td><td class="module"><a href="Data-Generics-Multiplate-Simplified.html#v:ganyFor">Data.Generics.Multiplate.Simplified</a></td></tr><tr><td class="src">getProjector</td><td class="module"><a href="Data-Generics-Multiplate-Simplified.html#v:getProjector">Data.Generics.Multiplate.Simplified</a></td></tr><tr><td class="src">gfirstFor</td><td class="module"><a href="Data-Generics-Multiplate-Simplified.html#v:gfirstFor">Data.Generics.Multiplate.Simplified</a></td></tr><tr><td class="src">gfoldFor</td><td class="module"><a href="Data-Generics-Multiplate-Simplified.html#v:gfoldFor">Data.Generics.Multiplate.Simplified</a></td></tr><tr><td class="src">glastFor</td><td class="module"><a href="Data-Generics-Multiplate-Simplified.html#v:glastFor">Data.Generics.Multiplate.Simplified</a></td></tr><tr><td class="src">gproductFor</td><td class="module"><a href="Data-Generics-Multiplate-Simplified.html#v:gproductFor">Data.Generics.Multiplate.Simplified</a></td></tr><tr><td class="src">gsumFor</td><td class="module"><a href="Data-Generics-Multiplate-Simplified.html#v:gsumFor">Data.Generics.Multiplate.Simplified</a></td></tr><tr><td class="src">gtraverseFor</td><td class="module"><a href="Data-Generics-Multiplate-Simplified.html#v:gtraverseFor">Data.Generics.Multiplate.Simplified</a></td></tr><tr><td class="src">gtraverseMFor</td><td class="module"><a href="Data-Generics-Multiplate-Simplified.html#v:gtraverseMFor">Data.Generics.Multiplate.Simplified</a></td></tr><tr><td class="src">gunwrapFor</td><td class="module"><a href="Data-Generics-Multiplate-Simplified.html#v:gunwrapFor">Data.Generics.Multiplate.Simplified</a></td></tr><tr><td class="src">IsProjector</td><td class="module"><a href="Data-Generics-Multiplate-Simplified.html#t:IsProjector">Data.Generics.Multiplate.Simplified</a></td></tr></table></div></div><div id="footer"><p>Produced by <a href="http://www.haskell.org/haddock/">Haddock</a> version 2.9.2</p></div></body></html>

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+</script></head><body id="mini"><div id="module-list"><p class="caption">Modules</p><ul><li class="module"><a href="Data-Generics-Multiplate-Simplified.html" target="main">Data.Generics.Multiplate.Simplified</a></li></ul></div></body></html>

@@ -0,0 +1,8 @@+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"><html xmlns="http://www.w3.org/1999/xhtml"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /><title>multiplate-simplified-0.0.0.1: Shorter, more generic functions for Multiplate.</title><link href="ocean.css" rel="stylesheet" type="text/css" title="Ocean" /><script src="haddock-util.js" type="text/javascript"></script><script type="text/javascript">//<![CDATA[
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+</script></head><body><div id="package-header"><ul class="links" id="page-menu"><li><a href="index.html">Contents</a></li><li><a href="doc-index.html">Index</a></li></ul><p class="caption">multiplate-simplified-0.0.0.1: Shorter, more generic functions for Multiplate.</p></div><div id="content"><div id="description" class="doc"><h1>multiplate-simplified-0.0.0.1: Shorter, more generic functions for Multiplate.</h1><p>This module provides wrappers around some Multiplate functions to spare
+the Projector argument. This makes it simpler to use them, and
+they will work for any data type, but a simple instance definition
+has to be supplied for each one.
+</p></div><div id="module-list"><p class="caption">Modules</p><ul><li><span id="control.n.1" class="module collapser" onclick="toggleSection('n.1')">Data</span><ul id="section.n.1" class="show"><li><span id="control.n.1.1" class="module collapser" onclick="toggleSection('n.1.1')">Generics</span><ul id="section.n.1.1" class="show"><li><span id="control.n.1.1.1" class="module collapser" onclick="toggleSection('n.1.1.1')">Multiplate</span><ul id="section.n.1.1.1" class="show"><li><span class="module"><a href="Data-Generics-Multiplate-Simplified.html">Data.Generics.Multiplate.Simplified</a></span></li></ul></li></ul></li></ul></li></ul></div></div><div id="footer"><p>Produced by <a href="http://www.haskell.org/haddock/">Haddock</a> version 2.9.2</p></div></body></html>

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+</script></head><body id="mini"><div id="module-header"><p class="caption">Data.Generics.Multiplate.Simplified</p></div><div id="interface"><div class="top"><p class="src"><span class="keyword">class</span> <a href="Data-Generics-Multiplate-Simplified.html#t:IsProjector" target="main">IsProjector</a> p a</p></div><div class="top"><p class="src"><a href="Data-Generics-Multiplate-Simplified.html#v:gtraverseFor" target="main">gtraverseFor</a></p></div><div class="top"><p class="src"><a href="Data-Generics-Multiplate-Simplified.html#v:gtraverseMFor" target="main">gtraverseMFor</a></p></div><div class="top"><p class="src"><a href="Data-Generics-Multiplate-Simplified.html#v:gfoldFor" target="main">gfoldFor</a></p></div><div class="top"><p class="src"><a href="Data-Generics-Multiplate-Simplified.html#v:gunwrapFor" target="main">gunwrapFor</a></p></div><div class="top"><p class="src"><a href="Data-Generics-Multiplate-Simplified.html#v:gsumFor" target="main">gsumFor</a></p></div><div class="top"><p class="src"><a href="Data-Generics-Multiplate-Simplified.html#v:gproductFor" target="main">gproductFor</a></p></div><div class="top"><p class="src"><a href="Data-Generics-Multiplate-Simplified.html#v:gallFor" target="main">gallFor</a></p></div><div class="top"><p class="src"><a href="Data-Generics-Multiplate-Simplified.html#v:ganyFor" target="main">ganyFor</a></p></div><div class="top"><p class="src"><a href="Data-Generics-Multiplate-Simplified.html#v:gfirstFor" target="main">gfirstFor</a></p></div><div class="top"><p class="src"><a href="Data-Generics-Multiplate-Simplified.html#v:glastFor" target="main">glastFor</a></p></div></div></body></html>

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