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|
(;module:
lux
(lux (control monad)
(data ["R" result]
text/format
(coll [list "L/" Functor<List>]))
[math]
[macro #+ Monad<Lux> "Lux/" Monad<Lux>]
[host #+ do-to])
(luxc ["&" base]
(lang ["la" analysis]
["ls" synthesis])
["&;" analyser]
["&;" synthesizer]
(generator ["&;" common]
(host ["$" jvm]
(jvm ["$t" type]
["$d" def]
["$i" inst])))))
(host;import java.lang.Object)
(host;import java.lang.String)
(host;import java.lang.reflect.Field
(get [Object] #try Object))
(host;import (java.lang.Class a)
(getField [String] Field))
(host;import org.objectweb.asm.Opcodes
(#static ACC_PUBLIC int)
(#static ACC_SUPER int)
(#static ACC_FINAL int)
(#static ACC_STATIC int)
(#static V1_6 int))
(host;import org.objectweb.asm.ClassWriter
(#static COMPUTE_MAXS int)
(new [int])
(visit [int int String String String (Array String)] void)
(visitEnd [] void)
(toByteArray [] (Array byte)))
(def: #export runtime-class Text "LuxRuntime")
(def: #export function-class Text "LuxFunction")
(def: #export unit Text "\u0000")
(def: $Object $;Type ($t;class "java.lang.Object" (list)))
(def: $Object-Array $;Type ($t;array +1 $Object))
(def: $String $;Type ($t;class "java.lang.String" (list)))
(def: #export $Stack $;Type ($t;array +1 $Object))
(def: #export $Tuple $;Type ($t;array +1 $Object))
(def: #export $Variant $;Type ($t;array +1 $Object))
(def: #export $Tag $;Type $t;int)
(def: #export $Flag $;Type $Object)
(def: #export $Datum $;Type $Object)
(def: #export logI
$;Inst
(let [outI ($i;GETSTATIC "java.lang.System" "out" ($t;class "java.io.PrintStream" (list)))
printI (function [method] ($i;INVOKEVIRTUAL "java.io.PrintStream" method ($t;method (list $Object) #;None (list)) false))]
(|>. outI ($i;string "LOG: ") (printI "print")
outI $i;SWAP (printI "println"))))
(def: variant-method
$;Method
($t;method (list $t;int $Object $Object) (#;Some $Object-Array) (list)))
(def: variant-makeI
$;Inst
($i;INVOKESTATIC runtime-class "variant_make" variant-method false))
(def: #export someI
$;Inst
(|>. ($i;int 1)
($i;string "")
$i;DUP2_X1
$i;POP2
variant-makeI))
(def: #export noneI
$;Inst
(|>. ($i;int 0)
$i;NULL
($i;string unit)
variant-makeI))
(def: adt-methods
$;Def
(let [store-tagI (|>. $i;DUP ($i;int 0) ($i;ILOAD +0) ($i;wrap #$;Int) $i;AASTORE)
store-flagI (|>. $i;DUP ($i;int 1) ($i;ALOAD +1) $i;AASTORE)
store-valueI (|>. $i;DUP ($i;int 2) ($i;ALOAD +2) $i;AASTORE)]
(|>. ($d;method #$;Public $;staticM "variant_make"
($t;method (list $t;int $Object $Object)
(#;Some $Variant)
(list))
(|>. ($i;array $Object +3)
store-tagI
store-flagI
store-valueI
$i;ARETURN)))))
(def: nat-methods
$;Def
(let [compare-nat-method ($t;method (list $t;long $t;long) (#;Some $t;int) (list))
less-thanI (function [@where] (|>. ($i;INVOKESTATIC runtime-class "compare_nat" compare-nat-method false) ($i;IFLT @where)))
$BigInteger ($t;class "java.math.BigInteger" (list))
upcast-method ($t;method (list $t;long) (#;Some $BigInteger) (list))
div-method ($t;method (list $t;long $t;long) (#;Some $t;long) (list))
upcastI ($i;INVOKESTATIC runtime-class "_toUnsignedBigInteger" upcast-method false)
downcastI ($i;INVOKEVIRTUAL "java.math.BigInteger" "longValue" ($t;method (list) (#;Some $t;long) (list)) false)]
## http://grepcode.com/file/repository.grepcode.com/java/root/jdk/openjdk/8u40-b25/java/lang/Long.java#215
(|>. ($d;method #$;Public $;staticM "_toUnsignedBigInteger" upcast-method
(let [upcastI ($i;INVOKESTATIC "java.math.BigInteger" "valueOf" upcast-method false)
discernI (function [@where] (|>. ($i;LLOAD +0) ($i;long 0) $i;LCMP ($i;IFGE @where)))
prepare-upperI (|>. ($i;LLOAD +0) ($i;int 32) $i;LUSHR
upcastI
($i;int 32) ($i;INVOKEVIRTUAL "java.math.BigInteger" "shiftLeft" ($t;method (list $t;int) (#;Some $BigInteger) (list)) false))
prepare-lowerI (|>. ($i;LLOAD +0) ($i;int 32) $i;LSHL
($i;int 32) $i;LUSHR
upcastI)]
(<| $i;with-label (function [@simple])
(|>. (discernI @simple)
## else
prepare-upperI
prepare-lowerI
($i;INVOKEVIRTUAL "java.math.BigInteger" "add" ($t;method (list $BigInteger) (#;Some $BigInteger) (list)) false)
$i;ARETURN
## then
($i;label @simple)
($i;LLOAD +0)
upcastI
$i;ARETURN))))
## http://grepcode.com/file/repository.grepcode.com/java/root/jdk/openjdk/8u40-b25/java/lang/Long.java?av=f#1267
($d;method #$;Public $;staticM "compare_nat" compare-nat-method
(let [shiftI (|>. ($i;GETSTATIC "java.lang.Long" "MIN_VALUE" $t;long) $i;LADD)]
(|>. ($i;LLOAD +0) shiftI
($i;LLOAD +2) shiftI
$i;LCMP
$i;IRETURN)))
## http://grepcode.com/file/repository.grepcode.com/java/root/jdk/openjdk/8u40-b25/java/lang/Long.java#1290
($d;method #$;Public $;staticM "div_nat" div-method
(let [is-param-largeI (function [@where] (|>. ($i;LLOAD +2) ($i;long 0) $i;LCMP ($i;IFLT @where)))
is-subject-smallI (function [@where] (|>. ($i;LLOAD +0) ($i;long 0) $i;LCMP ($i;IFGT @where)))
small-division (|>. ($i;LLOAD +0) ($i;LLOAD +2) $i;LDIV $i;LRETURN)
big-divisionI ($i;INVOKEVIRTUAL "java.math.BigInteger" "divide" ($t;method (list $BigInteger) (#;Some $BigInteger) (list)) false)]
(<| $i;with-label (function [@is-zero])
$i;with-label (function [@param-is-large])
$i;with-label (function [@subject-is-small])
(|>. (is-param-largeI @param-is-large)
## Param is not too large
(is-subject-smallI @subject-is-small)
## Param is small, but subject is large
($i;LLOAD +0) upcastI
($i;LLOAD +2) upcastI
big-divisionI downcastI $i;LRETURN
## Both param and subject are small,
## and can thus be divided normally.
($i;label @subject-is-small)
small-division
## Param is too large. Cannot simply divide.
## Depending on the result of the
## comparison, a result will be determined.
($i;label @param-is-large)
($i;LLOAD +0) ($i;LLOAD +2) (less-thanI @is-zero)
## Greater-than or equals
($i;long 1) $i;LRETURN
## Less than
($i;label @is-zero)
($i;long 0) $i;LRETURN))))
## http://grepcode.com/file/repository.grepcode.com/java/root/jdk/openjdk/8u40-b25/java/lang/Long.java#1323
($d;method #$;Public $;staticM "rem_nat" div-method
(let [is-subject-largeI (function [@where] (|>. ($i;LLOAD +0) ($i;long 0) $i;LCMP ($i;IFLE @where)))
is-param-largeI (function [@where] (|>. ($i;LLOAD +2) ($i;long 0) $i;LCMP ($i;IFLE @where)))
small-remainderI (|>. ($i;LLOAD +0) ($i;LLOAD +2) $i;LREM $i;LRETURN)
big-remainderI ($i;INVOKEVIRTUAL "java.math.BigInteger" "remainder" ($t;method (list $BigInteger) (#;Some $BigInteger) (list)) false)]
(<| $i;with-label (function [@large-number])
$i;with-label (function [@subject-is-smaller-than-param])
(|>. (is-subject-largeI @large-number)
(is-param-largeI @large-number)
small-remainderI
($i;label @large-number)
($i;LLOAD +0) ($i;LLOAD +2) (less-thanI @subject-is-smaller-than-param)
($i;LLOAD +0) upcastI
($i;LLOAD +2) upcastI
big-remainderI downcastI $i;LRETURN
($i;label @subject-is-smaller-than-param)
($i;LLOAD +0)
$i;LRETURN))))
)))
(def: frac-shiftI $;Inst ($i;double (math;pow 32.0 2.0)))
(def: frac-methods
$;Def
(|>. ($d;method #$;Public $;staticM "decode_frac" ($t;method (list $String) (#;Some $Object-Array) (list))
(<| $i;with-label (function [@from])
$i;with-label (function [@to])
$i;with-label (function [@handler])
(|>. ($i;try @from @to @handler "java.lang.Exception")
($i;label @from)
($i;ALOAD +0)
($i;INVOKESTATIC "java.lang.Double" "parseDouble" ($t;method (list $String) (#;Some $t;double) (list)) false)
($i;wrap #$;Double)
someI
$i;ARETURN
($i;label @to)
($i;label @handler)
noneI
$i;ARETURN)))
($d;method #$;Public $;staticM "frac_to_deg" ($t;method (list $t;double) (#;Some $t;long) (list))
(let [swap2 (|>. $i;DUP2_X2 $i;POP2)
drop-excessI (|>. ($i;double 1.0) $i;DREM)
shiftI (|>. frac-shiftI $i;DMUL)]
(|>. ($i;DLOAD +0)
## Get upper half
drop-excessI
shiftI
## Make a copy, so the lower half can be extracted
$i;DUP2
## Get lower half
drop-excessI
shiftI
## Turn it into a deg
$i;D2L
## Turn the upper half into deg too
swap2
$i;D2L
## Combine both pieces
$i;LADD
## FINISH
$i;LRETURN
)))
))
(def: deg-bits Nat +64)
(def: deg-method $;Method ($t;method (list $t;long $t;long) (#;Some $t;long) (list)))
(def: clz-method $;Method ($t;method (list $t;long) (#;Some $t;int) (list)))
(def: deg-methods
$;Def
(let [## "And" mask corresponding to -1 (FFFF...), on the low 32 bits.
low-half (|>. ($i;int -1) $i;I2L $i;LAND)
high-half (|>. ($i;int 32) $i;LUSHR)]
(|>. ($d;method #$;Public $;staticM "mul_deg" deg-method
## Based on: http://stackoverflow.com/a/31629280/6823464
(let [shift-downI (|>. ($i;int 32) $i;LUSHR)
low-leftI (|>. ($i;LLOAD +0) low-half)
high-leftI (|>. ($i;LLOAD +0) high-half)
low-rightI (|>. ($i;LLOAD +2) low-half)
high-rightI (|>. ($i;LLOAD +2) high-half)
bottomI (|>. low-leftI low-rightI $i;LMUL)
middleLI (|>. high-leftI low-rightI $i;LMUL)
middleRI (|>. low-leftI high-rightI $i;LMUL)
middleI (|>. middleLI middleRI $i;LADD)
topI (|>. high-leftI high-rightI $i;LMUL)]
(|>. bottomI shift-downI
middleI $i;LADD shift-downI
topI $i;LADD
$i;LRETURN)))
($d;method #$;Public $;staticM "count_leading_zeros" clz-method
(let [when-zeroI (function [@where] (|>. ($i;long 0) $i;LCMP ($i;IFEQ @where)))
shift-rightI (function [amount] (|>. ($i;int amount) $i;LUSHR))
decI (|>. ($i;int 1) $i;ISUB)]
(<| $i;with-label (function [@start])
$i;with-label (function [@done])
(|>. ($i;int 64)
($i;label @start)
($i;LLOAD +0) (when-zeroI @done)
($i;LLOAD +0) (shift-rightI 1) ($i;LSTORE +0)
decI
($i;GOTO @start)
($i;label @done)
$i;IRETURN))))
($d;method #$;Public $;staticM "div_deg" deg-method
(<| $i;with-label (function [@same])
(let [subjectI ($i;LLOAD +0)
paramI ($i;LLOAD +2)
equal?I (function [@where] (|>. $i;LCMP ($i;IFEQ @where)))
count-leading-zerosI ($i;INVOKESTATIC runtime-class "count_leading_zeros" clz-method false)
calc-max-shiftI (|>. subjectI count-leading-zerosI
paramI count-leading-zerosI
($i;INVOKESTATIC "java.lang.Math" "min" ($t;method (list $t;int $t;int) (#;Some $t;int) (list)) false)
($i;ISTORE +4))
shiftI (|>. ($i;ILOAD +4) $i;LSHL)
imprecise-divisionI (|>. subjectI shiftI
paramI shiftI high-half
$i;LDIV)
scale-downI (|>. ($i;int 32) $i;LSHL)]
(|>. subjectI paramI
(equal?I @same)
## Based on: http://stackoverflow.com/a/8510587/6823464
## Shifting the operands as much as possible can help
## avoid some loss of precision later.
calc-max-shiftI
imprecise-divisionI
scale-downI
$i;LRETURN
($i;label @same)
($i;long -1) ## ~= 1.0 Degrees
$i;LRETURN))))
($d;method #$;Public $;staticM "deg_to_frac" ($t;method (list $t;long) (#;Some $t;double) (list))
(let [highI (|>. ($i;LLOAD +0) high-half $i;L2D)
lowI (|>. ($i;LLOAD +0) low-half $i;L2D)
scaleI (|>. frac-shiftI $i;DDIV)]
(|>. highI scaleI
lowI scaleI scaleI
$i;DADD
$i;DRETURN)))
)))
(def: pm-methods
$;Def
(let [tuple-sizeI (|>. ($i;ALOAD +0) $i;ARRAYLENGTH)
tuple-elemI (|>. ($i;ALOAD +0) ($i;ILOAD +1) $i;AALOAD)
expected-last-sizeI (|>. ($i;ILOAD +1) ($i;int 1) $i;IADD)
tuple-tailI (|>. ($i;ALOAD +0) tuple-sizeI ($i;int 1) $i;ISUB $i;AALOAD ($i;CHECKCAST ($t;descriptor $Tuple)))]
(|>. ($d;method #$;Public $;staticM "pm_fail" ($t;method (list) #;None (list))
(|>. ($i;NEW "java.lang.IllegalStateException")
$i;DUP
($i;string "Invalid expression for pattern-matching.")
($i;INVOKESPECIAL "java.lang.IllegalStateException" "<init>" ($t;method (list $String) #;None (list)) false)
$i;ATHROW))
($d;method #$;Public $;staticM "apply_fail" ($t;method (list) #;None (list))
(|>. ($i;NEW "java.lang.IllegalStateException")
$i;DUP
($i;string "Error while applying function.")
($i;INVOKESPECIAL "java.lang.IllegalStateException" "<init>" ($t;method (list $String) #;None (list)) false)
$i;ATHROW))
($d;method #$;Public $;staticM "pm_push" ($t;method (list $Stack $Object) (#;Some $Stack) (list))
(|>. ($i;int 2)
($i;ANEWARRAY "java.lang.Object")
$i;DUP
($i;int 0)
($i;ALOAD +0)
$i;AASTORE
$i;DUP
($i;int 1)
($i;ALOAD +1)
$i;AASTORE
$i;ARETURN))
($d;method #$;Public $;staticM "pm_pop" ($t;method (list $Stack) (#;Some $Stack) (list))
(|>. ($i;ALOAD +0)
($i;int 0)
$i;AALOAD
($i;CHECKCAST ($t;descriptor $Stack))
$i;ARETURN))
($d;method #$;Public $;staticM "pm_peek" ($t;method (list $Stack) (#;Some $Object) (list))
(|>. ($i;ALOAD +0)
($i;int 1)
$i;AALOAD
$i;ARETURN))
($d;method #$;Public $;staticM "pm_variant" ($t;method (list $Stack $t;int $Object) (#;Some $Object) (list))
(<| $i;with-label (function [@begin])
$i;with-label (function [@just-return])
$i;with-label (function [@then])
$i;with-label (function [@further])
$i;with-label (function [@shorten])
$i;with-label (function [@wrong])
(let [variant-partI (: (-> Nat $;Inst)
(function [idx]
(|>. ($i;int (nat-to-int idx)) $i;AALOAD)))
tagI (: $;Inst
(|>. (variant-partI +0) ($i;unwrap #$;Int)))
flagI (variant-partI +1)
datumI (variant-partI +2)
shortenI (|>. ($i;ALOAD +0) tagI ## Get tag
($i;ILOAD +1) $i;ISUB ## Shorten tag
($i;ALOAD +0) flagI ## Get flag
($i;ALOAD +0) datumI ## Get value
variant-makeI ## Build sum
$i;ARETURN)
update-tagI (|>. $i;ISUB ($i;ISTORE +1))
update-variantI (|>. ($i;ALOAD +0) datumI ($i;CHECKCAST ($t;descriptor $Variant)) ($i;ASTORE +0))
wrongI (|>. $i;NULL $i;ARETURN)
return-datumI (|>. ($i;ALOAD +0) datumI $i;ARETURN)])
(|>. ($i;label @begin)
($i;ILOAD +1) ## tag
($i;ALOAD +0) tagI ## tag, sumT
$i;DUP2 ($i;IF_ICMPEQ @then)
$i;DUP2 ($i;IF_ICMPGT @further)
$i;DUP2 ($i;IF_ICMPLT @shorten)
## $i;POP2
wrongI
($i;label @then) ## tag, sumT
($i;ALOAD +2) ## tag, sumT, wants-last?
($i;ALOAD +0) flagI ## tag, sumT, wants-last?, is-last?
($i;IF_ACMPEQ @just-return) ## tag, sumT
($i;label @further) ## tag, sumT
($i;ALOAD +0) flagI ## tag, sumT, last?
($i;IFNULL @wrong) ## tag, sumT
update-tagI
update-variantI
($i;GOTO @begin)
($i;label @just-return) ## tag, sumT
## $i;POP2
return-datumI
($i;label @shorten) ## tag, sumT
($i;ALOAD +2) ($i;IFNULL @wrong)
## $i;POP2
shortenI
($i;label @wrong) ## tag, sumT
## $i;POP2
wrongI)))
($d;method #$;Public $;staticM "pm_left" ($t;method (list $Tuple $t;int) (#;Some $Object) (list))
(<| $i;with-label (function [@begin])
$i;with-label (function [@not-recursive])
(let [updated-idxI (|>. $i;SWAP $i;ISUB)])
(|>. ($i;label @begin)
tuple-sizeI
expected-last-sizeI
$i;DUP2 ($i;IF_ICMPGT @not-recursive)
## Recursive
updated-idxI ($i;ISTORE +1)
tuple-tailI ($i;ASTORE +0)
($i;GOTO @begin)
($i;label @not-recursive)
## $i;POP2
tuple-elemI
$i;ARETURN)))
($d;method #$;Public $;staticM "pm_right" ($t;method (list $Tuple $t;int) (#;Some $Object) (list))
(<| $i;with-label (function [@begin])
$i;with-label (function [@tail])
$i;with-label (function [@slice])
(let [updated-idxI (|>. ($i;ILOAD +1) ($i;int 1) $i;IADD tuple-sizeI $i;ISUB)
sliceI (|>. ($i;ALOAD +0) ($i;ILOAD +1) tuple-sizeI
($i;INVOKESTATIC "java.util.Arrays" "copyOfRange" ($t;method (list $Object-Array $t;int $t;int) (#;Some $Object-Array) (list)) false))])
(|>. ($i;label @begin)
tuple-sizeI
expected-last-sizeI
$i;DUP2 ($i;IF_ICMPEQ @tail)
($i;IF_ICMPGT @slice)
## Must recurse
tuple-tailI ($i;ASTORE +0)
updated-idxI ($i;ISTORE +1)
($i;GOTO @begin)
($i;label @slice)
sliceI
$i;ARETURN
($i;label @tail)
## $i;POP2
tuple-elemI
$i;ARETURN)))
)))
(def: generate-runtime
(Lux &common;Bytecode)
(do Monad<Lux>
[_ (wrap [])
#let [bytecode ($d;class #$;V1.6 #$;Public $;finalC runtime-class (list) ["java.lang.Object" (list)] (list)
(|>. adt-methods
nat-methods
frac-methods
deg-methods
pm-methods))]
_ (&common;store-class runtime-class bytecode)]
(wrap bytecode)))
(def: #export partials-field Text "partials")
(def: #export apply-method Text "apply")
(def: #export num-apply-variants Nat +8)
(def: #export (apply-signature arity)
(-> ls;Arity $;Method)
($t;method (list;repeat arity $Object) (#;Some $Object) (list)))
(def: generate-function
(Lux &common;Bytecode)
(do Monad<Lux>
[_ (wrap [])
#let [applyI (|> (list;n.range +2 num-apply-variants)
(L/map (function [arity]
($d;method #$;Public $;noneM apply-method (apply-signature arity)
(let [preI (|> (list;n.range +0 (n.dec arity))
(L/map $i;ALOAD)
$i;fuse)]
(|>. preI
($i;INVOKEVIRTUAL function-class apply-method (apply-signature (n.dec arity)) false)
($i;CHECKCAST function-class)
($i;ALOAD arity)
($i;INVOKEVIRTUAL function-class apply-method (apply-signature +1) false)
$i;ARETURN)))))
(list& ($d;abstract-method #$;Public $;noneM apply-method (apply-signature +1))
## ($d;method #$;Public $;noneM apply-method (apply-signature +1)
## (|>. $i;NULL
## $i;ARETURN))
)
$d;fuse)
bytecode ($d;abstract #$;V1.6 #$;Public $;noneC function-class (list) ["java.lang.Object" (list)] (list)
(|>. ($d;field #$;Public $;finalF partials-field $t;int)
($d;method #$;Public $;noneM "<init>" ($t;method (list $t;int) #;None (list))
(|>. ($i;ALOAD +0)
($i;INVOKESPECIAL "java.lang.Object" "<init>" ($t;method (list) #;None (list)) false)
($i;ALOAD +0)
($i;ILOAD +1)
($i;PUTFIELD function-class partials-field $t;int)
$i;RETURN))
applyI))]
_ (&common;store-class function-class bytecode)]
(wrap bytecode)))
(def: #export generate
(Lux Unit)
(do Monad<Lux>
[_ generate-runtime
_ generate-function]
(wrap [])))
|