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-- Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd.
-- All rights reserved.
-- Copyright (C) 2007, Gabriel Dos Reis.
-- All rights reserved.
--
-- Redistribution and use in source and binary forms, with or without
-- modification, are permitted provided that the following conditions are
-- met:
--
-- - Redistributions of source code must retain the above copyright
-- notice, this list of conditions and the following disclaimer.
--
-- - Redistributions in binary form must reproduce the above copyright
-- notice, this list of conditions and the following disclaimer in
-- the documentation and/or other materials provided with the
-- distribution.
--
-- - Neither the name of The Numerical ALgorithms Group Ltd. nor the
-- names of its contributors may be used to endorse or promote products
-- derived from this software without specific prior written permission.
--
-- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
-- IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
-- TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
-- PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
-- OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-- EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
-- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
-- PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
-- LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
-- NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
-- SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
import '"g-util"
)package "BOOT"
--% ITERATORS
compReduce(form,m,e) ==
compReduce1(form,m,e,$formalArgList)
compReduce1(form is ["REDUCE",op,.,collectForm],m,e,$formalArgList) ==
[collectOp,:itl,body]:= collectForm
if STRINGP op then op:= INTERN op
^MEMQ(collectOp,'(COLLECT COLLECTV COLLECTVEC)) =>
systemError ["illegal reduction form:",form]
$sideEffectsList: local
$until: local
$initList: local
$endTestList: local
$e:= e
itl:= [([.,$e]:= compIterator(x,$e) or return "failed").(0) for x in itl]
itl="failed" => return nil
e:= $e
acc:= GENSYM()
afterFirst:= GENSYM()
bodyVal:= GENSYM()
[part1,m,e]:= comp(["LET",bodyVal,body],m,e) or return nil
[part2,.,e]:= comp(["LET",acc,bodyVal],m,e) or return nil
[part3,.,e]:= comp(["LET",acc,parseTran [op,acc,bodyVal]],m,e) or return nil
identityCode:=
id:= getIdentity(op,e) => u.expr where u() == comp(id,m,e) or return nil
["IdentityError",MKQ op]
finalCode:=
["PROGN",
["LET",afterFirst,nil],
["REPEAT",:itl,
["PROGN",part1,
["IF", afterFirst,part3,
["PROGN",part2,["LET",afterFirst,MKQ true]]]]],
["IF",afterFirst,acc,identityCode]]
if $until then
[untilCode,.,e]:= comp($until,$Boolean,e)
finalCode:= substitute(["UNTIL",untilCode],'$until,finalCode)
[finalCode,m,e]
++ returns the identity element of the `reduction' operation `x'
++ over a list -- a monoid homomorphism.
getIdentity(x,e) ==
-- The empty list should be indicated by name, not by its
-- object representation.
GETL(x,"THETA") is [y] => (y => y; "nil")
numberize x ==
x=$Zero => 0
x=$One => 1
atom x => x
[numberize first x,:numberize rest x]
compRepeatOrCollect(form,m,e) ==
fn(form,[m,:$exitModeStack],[#$exitModeStack,:$leaveLevelStack],$formalArgList
,e) where
fn(form,$exitModeStack,$leaveLevelStack,$formalArgList,e) ==
$until: local
[repeatOrCollect,:itl,body]:= form
itl':=
[([x',e]:= compIterator(x,e) or return "failed"; x') for x in itl]
itl'="failed" => nil
targetMode:= first $exitModeStack
bodyMode:=
repeatOrCollect="COLLECT" =>
targetMode = '$EmptyMode => '$EmptyMode
(u:=modeIsAggregateOf('List,targetMode,e)) =>
CADR u
(u:=modeIsAggregateOf('PrimitiveArray,targetMode,e)) =>
repeatOrCollect:='COLLECTV
CADR u
(u:=modeIsAggregateOf('Vector,targetMode,e)) =>
repeatOrCollect:='COLLECTVEC
CADR u
stackMessage('"Invalid collect bodytype")
return nil
-- If we're doing a collect, and the type isn't conformable
-- then we've boobed. JHD 26.July.1990
$NoValueMode
[body',m',e']:=
-- (m1:= listOrVectorElementMode targetMode) and comp(body,m1,e) or
compOrCroak(body,bodyMode,e) or return nil
if $until then
[untilCode,.,e']:= comp($until,$Boolean,e')
itl':= substitute(["UNTIL",untilCode],'$until,itl')
form':= [repeatOrCollect,:itl',body']
m'':=
repeatOrCollect="COLLECT" =>
(u:=modeIsAggregateOf('List,targetMode,e)) => CAR u
["List",m']
repeatOrCollect="COLLECTV" =>
(u:=modeIsAggregateOf('PrimitiveArray,targetMode,e)) => CAR u
["PrimitiveArray",m']
repeatOrCollect="COLLECTVEC" =>
(u:=modeIsAggregateOf('Vector,targetMode,e)) => CAR u
["Vector",m']
m'
coerceExit([form',m'',e'],targetMode)
--constructByModemap([x,source,e],target) ==
-- u:=
-- [cexpr
-- for (modemap:= [map,cexpr]) in getModemapList("construct",1,e) | map is [
-- .,t,s] and modeEqual(t,target) and modeEqual(s,source)] or return nil
-- fn:= (or/[selfn for [cond,selfn] in u | cond=true]) or return nil
-- [["call",fn,x],target,e]
listOrVectorElementMode x ==
x is [a,b,:.] and member(a,'(PrimitiveArray Vector List)) => b
compIterator(it,e) ==
it is ["IN",x,y] =>
--these two lines must be in this order, to get "for f in list f"
--to give an error message if f is undefined
[y',m,e]:= comp(y,$EmptyMode,e) or return nil
$formalArgList:= [x,:$formalArgList]
[mOver,mUnder]:=
modeIsAggregateOf("List",m,e) or return
stackMessage ["mode: ",m," must be a list of some mode"]
if null get(x,"mode",e) then [.,.,e]:=
compMakeDeclaration([":",x,mUnder],$EmptyMode,e) or return nil
e:= put(x,"value",[genSomeVariable(),mUnder,e],e)
[y'',m'',e] := coerce([y',m,e], mOver) or return nil
[["IN",x,y''],e]
it is ["ON",x,y] =>
$formalArgList:= [x,:$formalArgList]
[y',m,e]:= comp(y,$EmptyMode,e) or return nil
[mOver,mUnder]:=
modeIsAggregateOf("List",m,e) or return
stackMessage ["mode: ",m," must be a list of other modes"]
if null get(x,"mode",e) then [.,.,e]:=
compMakeDeclaration([":",x,m],$EmptyMode,e) or return nil
e:= put(x,"value",[genSomeVariable(),m,e],e)
[y'',m'',e] := coerce([y',m,e], mOver) or return nil
[["ON",x,y''],e]
it is ["STEP",index,start,inc,:optFinal] =>
$formalArgList:= [index,:$formalArgList]
--if all start/inc/end compile as small integers, then loop
--is compiled as a small integer loop
final':= nil
(start':= comp(start,$SmallInteger,e)) and
(inc':= comp(inc,$NonNegativeInteger,start'.env)) and
(not (optFinal is [final]) or
(final':= comp(final,$SmallInteger,inc'.env))) =>
indexmode:=
comp(start,$NonNegativeInteger,e) =>
$NonNegativeInteger
$SmallInteger
if null get(index,"mode",e) then [.,.,e]:=
compMakeDeclaration([":",index,indexmode],$EmptyMode,
(final' => final'.env; inc'.env)) or return nil
e:= put(index,"value",[genSomeVariable(),indexmode,e],e)
if final' then optFinal:= [final'.expr]
[["ISTEP",index,start'.expr,inc'.expr,:optFinal],e]
[start,.,e]:=
comp(start,$Integer,e) or return
stackMessage ["start value of index: ",start," must be an integer"]
[inc,.,e]:=
comp(inc,$Integer,e) or return
stackMessage ["index increment:",inc," must be an integer"]
if optFinal is [final] then
[final,.,e]:=
comp(final,$Integer,e) or return
stackMessage ["final value of index: ",final," must be an integer"]
optFinal:= [final]
indexmode:=
comp(CADDR it,$NonNegativeInteger,e) => $NonNegativeInteger
$Integer
if null get(index,"mode",e) then [.,.,e]:=
compMakeDeclaration([":",index,indexmode],$EmptyMode,e) or return nil
e:= put(index,"value",[genSomeVariable(),indexmode,e],e)
[["STEP",index,start,inc,:optFinal],e]
it is ["WHILE",p] =>
[p',m,e]:=
comp(p,$Boolean,e) or return
stackMessage ["WHILE operand: ",p," is not Boolean valued"]
[["WHILE",p'],e]
it is ["UNTIL",p] => ($until:= p; ['$until,e])
it is ["|",x] =>
u:=
comp(x,$Boolean,e) or return
stackMessage ["SUCHTHAT operand: ",x," is not Boolean value"]
[["|",u.expr],u.env]
nil
--isAggregateMode(m,e) ==
-- m is [c,R] and MEMQ(c,'(Vector List)) => R
-- name:=
-- m is [fn,:.] => fn
-- m="$" => "Rep"
-- m
-- get(name,"value",e) is [c,R] and MEMQ(c,'(Vector List)) => R
modeIsAggregateOf(ListOrVector,m,e) ==
m is [ =ListOrVector,R] => [m,R]
--m = '$EmptyMode => [m,m] I don't think this is correct, breaks POLY +
m is ["Union",:l] =>
mList:= [pair for m' in l | (pair:= modeIsAggregateOf(ListOrVector,m',e))]
1=#mList => first mList
name:=
m is [fn,:.] => fn
m="$" => "Rep"
m
get(name,"value",e) is [[ =ListOrVector,R],:.] => [m,R]
--% VECTOR ITERATORS
--the following 4 functions are not currently used
compCollectV(form,m,e) ==
fn(form,[m,:$exitModeStack],[#$exitModeStack,:$leaveLevelStack],e) where
fn(form,$exitModeStack,$leaveLevelStack,e) ==
[repeatOrCollect,it,body]:= form
[it',e]:= compIteratorV(it,e) or return nil
m:= first $exitModeStack
[mOver,mUnder]:= modeIsAggregateOf("Vector",m,e) or $EmptyMode
[body',m',e']:= compOrCroak(body,mUnder,e) or return nil
form':= ["COLLECTV",it',body']
n:=
it' is ["STEP",.,s,i,f] or it' is ["ISTEP",.,s,i,f] =>
computeMaxIndex(s,f,i);
return nil
coerce([form',mOver,e'],m)
compIteratorV(it,e) ==
it is ["STEP",index,start,inc,final] =>
(start':= comp(start,$Integer,e)) and
(inc':= comp(inc,$NonNegativeInteger,start'.env)) and
(final':= comp(final,$Integer,inc'.env)) =>
indexmode:=
comp(start,$NonNegativeInteger,e) => $NonNegativeInteger
$Integer
if null get(index,"mode",e) then [.,.,e]:=
compMakeDeclaration([":",index,indexmode],$EmptyMode,final'.env) or
return nil
e:= put(index,"value",[genSomeVariable(),indexmode,e],e)
[["ISTEP",index,start'.expr,inc'.expr,final'.expr],e]
[start,.,e]:=
comp(start,$Integer,e) or return
stackMessage ["start value of index: ",start," is not an integer"]
[inc,.,e]:=
comp(inc,$NonNegativeInteger,e) or return
stackMessage ["index increment: ",inc," must be a non-negative integer"]
[final,.,e]:=
comp(final,$Integer,e) or return
stackMessage ["final value of index: ",final," is not an integer"]
indexmode:=
comp(CADDR it,$NonNegativeInteger,e) => $NonNegativeInteger
$Integer
if null get(index,"mode",e) then [.,.,e]:=
compMakeDeclaration([":",index,indexmode],$EmptyMode,e) or return nil
e:= put(index,"value",[genSomeVariable(),indexmode,e],e)
[["STEP",index,start,inc,final],e]
nil
computeMaxIndex(s,f,i) ==
i^=1 => cannotDo()
s=1 => f
exprDifference(f,exprDifference(s,1))
exprDifference(x,y) ==
y=0 => x
FIXP x and FIXP y => DIFFERENCE(x,y)
["DIFFERENCE",x,y]
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