word_types -> primitives + delete the "config" file / debug template
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@ -16,7 +16,7 @@ proc test(fakeCurves: string, path: string, lang = "c") =
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### tasks
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task test, "Run all tests":
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test "", "tests/test_word_types.nim"
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test "", "tests/test_primitives.nim"
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test "", "tests/test_io.nim"
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test "", "tests/test_bigints.nim"
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test " -d:testingCurves", "tests/test_field_fp.nim"
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@ -37,7 +37,7 @@
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# So the least significant limb is limb[0]
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# This is independent from the base type endianness.
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import ./word_types, ./config
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import ./primitives, ./config
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type Word* = Ct[uint64]
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type BaseType* = uint64 # Exported type for conversion in "normal integers"
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@ -1,17 +0,0 @@
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# Constantine
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# Copyright (c) 2018-2019 Status Research & Development GmbH
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# Copyright (c) 2020-Present Mamy André-Ratsimbazafy
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# Licensed and distributed under either of
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# * MIT license (license terms in the root directory or at http://opensource.org/licenses/MIT).
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# * Apache v2 license (license terms in the root directory or at http://www.apache.org/licenses/LICENSE-2.0).
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# at your option. This file may not be copied, modified, or distributed except according to those terms.
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# ############################################################
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#
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# Common configuration
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#
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# ############################################################
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template debug*(body: untyped): untyped =
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when defined(debugConstantine):
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body
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@ -14,8 +14,7 @@
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# We assume that p is prime known at compile-time
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import ./word_types, ./bigints, ./curves_config
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from ./private/word_types_internal import unsafe_div2n1n
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import ./primitives, ./bigints, ./curves_config
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type
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Fp*[C: static Curve] = object
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@ -71,96 +70,3 @@ func `+`*(a, b: Fp): Fp {.noInit.}=
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var ctl = add(result, b, CtTrue)
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ctl = ctl or not sub(result, Fp.C.Mod, CtFalse)
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sub(result, Fp.C.Mod, ctl)
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func shiftAdd*(a: var Fp, c: Word) =
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## Shift-accumulate
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## Shift input `a` by a word and add `c`.
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##
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## With a word W = 2^WordBitSize and a field Fp
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## Does a <- a * W + c (mod p)
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const len = a.value.limbs.len
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when Fp.C.Mod.bits <= WordBitSize:
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# If the prime fits in a single limb
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var q: Word
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# (hi, lo) = a * 2^63 + c
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let hi = a[0] shr 1 # 64 - 63 = 1
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let lo = (a[0] shl WordBitSize) or c # Assumes most-significant bit in c is not set
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unsafeDiv2n1n(q, a[0], hi, lo, Fp.C.Mod.limbs[0]) # (hi, lo) mod P
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return
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else:
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## Multiple limbs
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let hi = a[^1] # Save the high word to detect carries
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const R = Fp.C.Mod.bits and WordBitSize # R = bits mod 64
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when R == 0: # If the number of bits is a multiple of 64
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let a1 = a[^2] #
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let a0 = a[^1] #
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moveMem(a[1], a[0], (len-1) * Word.sizeof) # we can just shift words
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a[0] = c # and replace the first one by c
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const p0 = Fp.C.Mod[^1]
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else: # Need to deal with partial word shifts at the edge.
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let a1 = ((a[^2] shl (WordBitSize-R)) or (a[^3] shr R)) and MaxWord
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let a0 = ((a[^1] shl (WordBitSize-R)) or (a[^2] shr R)) and MaxWord
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moveMem(a[1], a[0], (len-1) * Word.sizeof)
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a[0] = c
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const p0 = ((Fp.C.Mod[^1] shl (WordBitSize-R)) or (Fp.C.Mod[^2] shr R)) and MaxWord
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# p0 has its high bit set. (a0, a1)/p0 fits in a limb.
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# Get a quotient q, at most we will be 2 iterations off
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# from the true quotient
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let
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a_hi = a0 shr 1 # 64 - 63 = 1
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a_lo = (a0 shl WordBitSize) or a1
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var q, r: Word
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q = unsafeDiv2n1n(q, r, a_hi, a_lo, p0) # Estimate quotient
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q = mux( # If n_hi == divisor
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a0 == b0, MaxWord, # Quotient == MaxWord (0b0111...1111)
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mux(
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q == 0, 0, # elif q == 0, true quotient = 0
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q - 1 # else instead of being of by 0, 1 or 2
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) # we returning q-1 to be off by -1, 0 or 1
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)
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# Now substract a*2^63 - q*p
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var carry = Word(0)
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var over_p = Word(1) # Track if quotient than the modulus
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for i in static(0 ..< Fp.C.Mod.limbs.len):
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var qp_lo: Word
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block: # q*p
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qp_hi: Word
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unsafeExtendedPrecMul(qp_hi, qp_lo, q, Fp.C.Mod[i]) # q * p
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assert qp_lo.isMsbSet.not
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assert carry.isMsbSet.not
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qp_lo += carry # Add carry from previous limb
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let qp_carry = qp_lo.isMsbSet
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carry = mux(qp_carry, qp_hi + Word(1), qp_hi) # New carry
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qp_lo = qp_lo and MaxWord # Normalize to u63
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block: # a*2^63 - q*p
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a[i] -= qp_lo
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carry += Word(a[i].isMsbSet) # Adjust if borrow
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a[i] = a[i] and MaxWord # Normalize to u63
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over_p = mux(
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a[i] == Fp.C.Mod[i], over_p,
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a[i] > Fp.C.Mod[i]
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)
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# Fix quotient, the true quotient is either q-1, q or q+1
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#
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# if carry < q or carry == q and over_p we must do "a -= p"
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# if carry > hi (negative result) we must do "a+= p"
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let neg = carry < hi
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let tooBig = not neg and (over_p or (carry < hi))
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add(a, Fp.C.Mod, neg)
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sub(a, Fp.C.Mod, tooBig)
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return
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@ -12,7 +12,7 @@
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import
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endians,
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./word_types, ./bigints
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./primitives, ./bigints
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# ############################################################
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#
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@ -20,6 +20,8 @@ import
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#
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# ############################################################
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# TODO: tag/remove exceptions raised.
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func fromRawUintLE(
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T: type BigInt,
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src: openarray[byte]): T =
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@ -73,6 +75,9 @@ func fromUint*(
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src: SomeUnsignedInt): T =
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## Parse a regular unsigned integer
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## and store it into a BigInt of size `bits`
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static:
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doAssert T.bits >= sizeof(src) * 8, "The BigInt bitsize (" & $T.bits &
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") must be greater or equal the source integer bitsize (" & $(sizeof(src) * 8) & ')'
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fromRawUint(T, cast[array[sizeof(src), byte]](src), cpuEndian)
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# ############################################################
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@ -154,8 +159,7 @@ func dumpRawUint*(
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## or zero-padded right for little-endian.
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## I.e least significant bit is aligned to buffer boundary
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if dst.len < static(BigInt.bits div 8):
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raise newException(ValueError, "BigInt -> Raw int conversion: destination buffer is too small")
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assert dst.len >= static(BigInt.bits div 8), "BigInt -> Raw int conversion: destination buffer is too small"
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when BigInt.bits == 0:
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zeroMem(dst, dst.len)
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@ -13,7 +13,7 @@
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# ############################################################
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import
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./word_types, ./bigints, ./field_fp, ./curves_config
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./primitives, ./bigints, ./field_fp, ./curves_config
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# No exceptions allowed
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{.push raises: [].}
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@ -13,7 +13,7 @@
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# ############################################################
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import
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./word_types, ./bigints
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./primitives, ./bigints
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from bitops import fastLog2
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# This will only be used at compile-time
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@ -6,6 +6,12 @@
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# * Apache v2 license (license terms in the root directory or at http://www.apache.org/licenses/LICENSE-2.0).
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# at your option. This file may not be copied, modified, or distributed except according to those terms.
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# ############################################################
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#
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# Constant-time primitives
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#
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# ############################################################
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type
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BaseUint* = SomeUnsignedInt or byte
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@ -12,7 +12,7 @@
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#
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# ############################################################
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import ../word_types
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import ../primitives
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func asm_x86_64_extMul(hi, lo: var uint64, a, b: uint64) {.inline.}=
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## Extended precision multiplication uint64 * uint64 --> uint128
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@ -7,7 +7,7 @@
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# at your option. This file may not be copied, modified, or distributed except according to those terms.
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import unittest, random,
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../constantine/[io, bigints, word_types]
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../constantine/[io, bigints, primitives]
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suite "isZero":
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test "isZero for zero":
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@ -7,4 +7,4 @@
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# at your option. This file may not be copied, modified, or distributed except according to those terms.
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import unittest, random,
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../constantine/[io, bigints, word_types, field_fp]
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../constantine/[io, bigints, primitives, field_fp]
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@ -7,7 +7,7 @@
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# at your option. This file may not be copied, modified, or distributed except according to those terms.
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import unittest, random, math,
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../constantine/word_types
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../constantine/primitives
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# Random seed for reproducibility
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randomize(0xDEADBEEF)
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