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(* Copyright (C) 2013-2014 Matthew Fluet.
* Copyright (C) 1999-2007 Henry Cejtin, Matthew Fluet, Suresh
* Jagannathan, and Stephen Weeks.
* Copyright (C) 1997-2000 NEC Research Institute.
*
* MLton is released under a HPND-style license.
* See the file MLton-LICENSE for details.
*)
structure IntInf: INT_INF_EXTRA =
struct
open Primitive.IntInf
type t = int
structure BigWord = C_MPLimb
structure SmallInt = ObjptrInt
structure W = ObjptrWord
structure I = ObjptrInt
structure MPLimb = C_MPLimb
val precision: Int.int option = NONE
fun sign (arg: int): Int.int =
case compare (arg, zero) of
LESS => ~1
| EQUAL => 0
| GREATER => 1
fun sameSign (x, y) = sign x = sign y
local
val maxShift32 = Word32.<< (0wx1, 0w30)
val maxShift = Word32.toWord maxShift32
fun make f (arg, shift) =
let
fun body loop (arg, shift) =
if Word.<= (shift, maxShift)
then f (arg, Word32.fromWord shift)
else loop (f (arg, maxShift32),
Word.- (shift, maxShift))
fun loop (arg, shift) = body loop (arg, shift)
in
body loop (arg, shift)
end
in
val << = make <<
val ~>> = make ~>>
end
val fromInt = schckFromInt
val toInt = schckToInt
val fromLarge = schckFromLargeInt
val toLarge = schckToLargeInt
local
open StringCvt
val binCvt = mkCvt {base = 2, smallCvt = I.fmt BIN}
val octCvt = mkCvt {base = 8, smallCvt = I.fmt OCT}
val decCvt = mkCvt {base = 10, smallCvt = I.fmt DEC}
val hexCvt = mkCvt {base = 16, smallCvt = I.fmt HEX}
in
fun fmt radix =
case radix of
BIN => binCvt
| OCT => octCvt
| DEC => decCvt
| HEX => hexCvt
val toString = fmt DEC
end
local
open StringCvt
(*
* Given a char, if it is a digit in the appropriate base,
* convert it to a word. Otherwise, return NONE.
* Note, both a-f and A-F are accepted as hexadecimal digits.
*)
fun binDig (ch: char): W.word option =
case ch of
#"0" => SOME 0w0
| #"1" => SOME 0w1
| _ => NONE
local
val op <= = Char.<=
in
fun octDig (ch: char): W.word option =
if #"0" <= ch andalso ch <= #"7"
then SOME (W.fromInt (Int.- (Char.ord ch,
Char.ord #"0")))
else NONE
fun decDig (ch: char): W.word option =
if #"0" <= ch andalso ch <= #"9"
then SOME (W.fromInt (Int.- (Char.ord ch,
Char.ord #"0")))
else NONE
fun hexDig (ch: char): W.word option =
if #"0" <= ch andalso ch <= #"9"
then SOME (W.fromInt (Int.- (Char.ord ch,
Char.ord #"0")))
else if #"a" <= ch andalso ch <= #"f"
then SOME (W.fromInt (Int.- (Char.ord ch,
Int.- (Char.ord #"a", 0xa))))
else if #"A" <= ch andalso ch <= #"F"
then SOME (W.fromInt (Int.- (Char.ord ch,
Int.- (Char.ord #"A", 0xA))))
else NONE
end
(*
* Given a digit converter and a char reader, return a digit
* reader.
*)
fun toDigR (charToDig: char -> W.word option,
cread: (char, 'a) reader)
(s: 'a)
: (W.word * 'a) option =
case cread s of
NONE => NONE
| SOME (ch, s') =>
case charToDig ch of
NONE => NONE
| SOME dig => SOME (dig, s')
(*
* A chunk represents the result of processing some digits.
* more is a bool indicating if there might be more digits.
* shift is base raised to the number-of-digits-seen power.
* chunk is the value of the digits seen.
*)
type chunk = {more: bool,
shift: W.word,
chunk: W.word}
(*
* Given the base and a digit reader,
* return a chunk reader.
*)
fun toChunkR (base: W.word,
dread: (W.word, 'a) reader)
: (chunk, 'a) reader =
let
fun loop {left: Int32.int,
shift: W.word,
chunk: W.word,
s: 'a}
: chunk * 'a =
if Int32.<= (left, 0)
then ({more = true,
shift = shift,
chunk = chunk},
s)
else
case dread s of
NONE => ({more = false,
shift = shift,
chunk = chunk},
s)
| SOME (dig, s') =>
loop {left = Int32.- (left, 1),
shift = W.* (base, shift),
chunk = W.+ (W.* (base, chunk), dig),
s = s'}
(* digitsPerChunk = floor((W.wordSize - 3) / (log2 base)) *)
val digitsPerChunk : Int32.t =
case (W.wordSize, base) of
(64, 0w16) => 15
| (64, 0w10) => 18
| (64, 0w8) => 20
| (64, 0w2) => 61
| (32, 0w16) => 7
| (32, 0w10) => 8
| (32, 0w8) => 9
| (32, 0w2) => 29
| _ => raise (Fail "IntInf.scan:digitsPerChunk")
fun reader (s: 'a): (chunk * 'a) option =
case dread s of
NONE => NONE
| SOME (dig, next) =>
SOME (loop {left = Int32.- (digitsPerChunk, 1),
shift = base,
chunk = dig,
s = next})
in
reader
end
(*
* Given a chunk reader, return an unsigned reader.
*)
fun toUnsR (ckread: (chunk, 'a) reader): (int, 'a) reader =
let
fun loop (more: bool, acc: int, s: 'a) =
if more
then case ckread s of
NONE => (acc, s)
| SOME ({more, shift, chunk}, s') =>
loop (more,
((W.toLargeInt shift) * acc)
+ (W.toLargeInt chunk),
s')
else (acc, s)
fun reader (s: 'a): (int * 'a) option =
case ckread s of
NONE => NONE
| SOME ({more, chunk, ...}, s') =>
SOME (loop (more,
W.toLargeInt chunk,
s'))
in
reader
end
(*
* Given a char reader and an unsigned reader, return an unsigned
* reader that includes skipping the option hex '0x'.
*)
fun toHexR (cread: (char, 'a) reader, uread: (int, 'a) reader) s =
case cread s of
NONE => NONE
| SOME (c1, s1) =>
if c1 = #"0" then
case cread s1 of
NONE => SOME (zero, s1)
| SOME (c2, s2) =>
if c2 = #"x" orelse c2 = #"X" then
case uread s2 of
NONE => SOME (zero, s1)
| SOME x => SOME x
else uread s
else uread s
(*
* Given a char reader and an unsigned reader, return a signed
* reader. This includes skipping any initial white space.
*)
fun toSign (cread: (char, 'a) reader, uread: (int, 'a) reader)
: (int, 'a) reader =
let
fun reader (s: 'a): (int * 'a) option =
let val s = StringCvt.skipWS cread s in
case cread s of
NONE => NONE
| SOME (ch, s') =>
let
val (isNeg, s'') =
case ch of
#"+" => (false, s')
| #"-" => (true, s')
| #"~" => (true, s')
| _ => (false, s)
in
if isNeg
then case uread s'' of
NONE => NONE
| SOME (abs, s''') => SOME (~ abs, s''')
else uread s''
end
end
in
reader
end
(*
* Base-specific conversions from char readers to
* int readers.
*)
local
fun reader (base, dig)
(cread: (char, 'a) reader)
: (int, 'a) reader =
let
val dread = toDigR (dig, cread)
val ckread = toChunkR (base, dread)
val uread = toUnsR ckread
val hread = if base = 0w16 then toHexR (cread, uread) else uread
val reader = toSign (cread, hread)
in
reader
end
in
fun binReader z = reader (0w2, binDig) z
fun octReader z = reader (0w8, octDig) z
fun decReader z = reader (0w10, decDig) z
fun hexReader z = reader (0w16, hexDig) z
end
in
fun scan radix =
case radix of
BIN => binReader
| OCT => octReader
| DEC => decReader
| HEX => hexReader
end
val fromString = StringCvt.scanString (scan StringCvt.DEC)
local
fun isEven (n: Int.int) = Int.andb (n, 0x1) = 0
in
fun pow (i: int, j: Int.int): int =
if Int.< (j, 0) then
if i = zero then
raise Div
else
if i = one then one
else if i = negOne then if isEven j then one else negOne
else zero
else
if j = 0 then one
else
let
fun square (n: int): int = n * n
(* pow (j) returns (i ^ j) *)
fun pow (j: Int.int): int =
if Int.<= (j, 0) then one
else if isEven j then evenPow j
else i * evenPow (Int.- (j, 1))
(* evenPow (j) returns (i ^ j), assuming j is even *)
and evenPow (j: Int.int): int =
square (pow (Int.div (j, 2)))
in
pow j
end
end
val log2 =
mkLog2 {fromSmall = fn {smallLog2} => Int32.toInt smallLog2,
fromLarge = fn {numLimbsMinusOne, mostSigLimbLog2} =>
Int.+ (Int.* (MPLimb.wordSize, SeqIndex.toInt numLimbsMinusOne),
Int32.toInt mostSigLimbLog2)}
end
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