IN: monads
! Functors
-GENERIC# fmap 1 ( functor quot -- functor' ) inline
+GENERIC# fmap 1 ( functor quot -- functor' )
! Monads
MIXIN: monad
GENERIC: monad-of ( mvalue -- singleton )
-GENERIC: return ( string singleton -- mvalue )
+GENERIC: return ( value singleton -- mvalue )
GENERIC: fail ( value singleton -- mvalue )
GENERIC: >>= ( mvalue -- quot )
M: monad return monad-of return ;
M: monad fail monad-of fail ;
-: bind ( mvalue quot -- mvalue' ) swap >>= call ;
-: >> ( mvalue k -- mvalue' ) '[ drop , ] bind ;
+: bind ( mvalue quot -- mvalue' ) swap >>= call( quot -- mvalue ) ;
+: bind* ( mvalue quot -- mvalue' ) '[ drop @ ] bind ;
+: >> ( mvalue k -- mvalue' ) '[ drop _ ] bind ;
:: lift-m2 ( m1 m2 f monad -- m3 )
m1 [| x1 | m2 [| x2 | x1 x2 f monad return ] bind ] bind ;
:: apply ( mvalue mquot monad -- result )
mvalue [| value |
mquot [| quot |
- value quot call monad return
+ value quot call( value -- mvalue ) monad return
] bind
] bind ;
-M: monad fmap over '[ @ , return ] bind ;
+M: monad fmap over '[ @ _ return ] bind ;
! 'do' notation
-: do ( quots -- result ) unclip dip [ bind ] each ;
+: do ( quots -- result ) unclip [ call( -- mvalue ) ] curry dip [ bind ] each ;
! Identity
SINGLETON: identity-monad
M: identity-monad return drop identity boa ;
M: identity-monad fail "Fail" throw ;
-M: identity >>= value>> '[ , _ call ] ;
+M: identity >>= value>> '[ _ swap call( x -- y ) ] ;
: run-identity ( identity -- value ) value>> ;
SINGLETON: nothing
TUPLE: just value ;
-: just \ just boa ;
+: just ( value -- just ) \ just boa ;
UNION: maybe just nothing ;
INSTANCE: maybe monad
M: maybe-monad return drop just ;
M: maybe-monad fail 2drop nothing ;
-M: nothing >>= '[ drop , ] ;
-M: just >>= value>> '[ , _ call ] ;
+M: nothing >>= '[ drop _ ] ;
+M: just >>= value>> '[ _ swap call( x -- y ) ] ;
: if-maybe ( maybe just-quot nothing-quot -- )
pick nothing? [ 2nip call ] [ drop [ value>> ] dip call ] if ; inline
INSTANCE: either-monad monad
TUPLE: left value ;
-: left \ left boa ;
+: left ( value -- left ) \ left boa ;
TUPLE: right value ;
-: right \ right boa ;
+: right ( value -- right ) \ right boa ;
UNION: either left right ;
INSTANCE: either monad
M: either-monad return drop right ;
M: either-monad fail drop left ;
-M: left >>= '[ drop , ] ;
-M: right >>= value>> '[ , _ call ] ;
+M: left >>= '[ drop _ ] ;
+M: right >>= value>> '[ _ swap call( x -- y ) ] ;
: if-either ( value left-quot right-quot -- )
[ [ value>> ] [ left? ] bi ] 2dip if ; inline
M: array monad-of drop array-monad ;
-M: array >>= '[ , _ map concat ] ;
+M: array >>= '[ _ swap map concat ] ;
! List
SINGLETON: list-monad
M: list monad-of drop list-monad ;
-M: list >>= '[ , _ lmap lconcat ] ;
+M: list >>= '[ _ swap lazy-map lconcat ] ;
! State
SINGLETON: state-monad
INSTANCE: state-monad monad
TUPLE: state quot ;
-: state \ state boa ;
+: state ( quot -- state ) \ state boa ;
INSTANCE: state monad
M: state monad-of drop state-monad ;
-M: state-monad return drop '[ , 2array ] state ;
+M: state-monad return drop '[ _ 2array ] state ;
M: state-monad fail "Fail" throw ;
-: mcall quot>> call ;
+: mcall ( x state -- y ) quot>> call( x -- y ) ;
-M: state >>= '[ , _ '[ , mcall first2 @ mcall ] state ] ;
+M: state >>= '[ _ swap '[ _ mcall first2 @ mcall ] state ] ;
: get-st ( -- state ) [ dup 2array ] state ;
-: put-st ( value -- state ) '[ drop , f 2array ] state ;
+: put-st ( value -- state ) '[ drop _ f 2array ] state ;
-: run-st ( state initial -- ) swap mcall second ;
+: run-st ( state initial -- value ) swap mcall second ;
-: return-st state-monad return ;
+: return-st ( value -- mvalue ) state-monad return ;
! Reader
SINGLETON: reader-monad
INSTANCE: reader-monad monad
TUPLE: reader quot ;
-: reader \ reader boa ;
+: reader ( quot -- reader ) \ reader boa ;
INSTANCE: reader monad
M: reader monad-of drop reader-monad ;
-M: reader-monad return drop '[ drop , ] reader ;
+M: reader-monad return drop '[ drop _ ] reader ;
M: reader-monad fail "Fail" throw ;
-M: reader >>= '[ , _ '[ dup , mcall @ mcall ] reader ] ;
+M: reader >>= '[ _ swap '[ dup _ mcall @ mcall ] reader ] ;
-: run-reader ( reader env -- ) swap mcall ;
+: run-reader ( reader env -- value ) swap quot>> call( env -- value ) ;
: ask ( -- reader ) [ ] reader ;
-: local ( reader quot -- reader' ) swap '[ @ , mcall ] reader ;
+: local ( reader quot -- reader' ) swap '[ @ _ mcall ] reader ;
! Writer
SINGLETON: writer-monad
INSTANCE: writer-monad monad
TUPLE: writer value log ;
-: writer \ writer boa ;
+: writer ( value log -- writer ) \ writer boa ;
M: writer monad-of drop writer-monad ;
: run-writer ( writer -- value log ) [ value>> ] [ log>> ] bi ;
-M: writer >>= '[ , run-writer _ '[ @ run-writer ] dip append writer ] ;
+M: writer >>= '[ [ _ run-writer ] dip '[ @ run-writer ] dip append writer ] ;
-: pass ( writer -- writer' ) run-writer [ first2 ] dip swap call writer ;
+: pass ( writer -- writer' ) run-writer [ first2 ] dip swap call( x -- y ) writer ;
: listen ( writer -- writer' ) run-writer [ 2array ] keep writer ;
: tell ( seq -- writer ) f swap writer ;