forked from jshiffer/matterbridge
1148 lines
36 KiB
Go
1148 lines
36 KiB
Go
// Code generated by Fiat Cryptography. DO NOT EDIT.
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//
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// Autogenerated: word_by_word_montgomery --lang Go --cmovznz-by-mul --relax-primitive-carry-to-bitwidth 32,64 --public-function-case camelCase --public-type-case camelCase --private-function-case camelCase --private-type-case camelCase --doc-text-before-function-name '' --doc-newline-before-package-declaration --doc-prepend-header 'Code generated by Fiat Cryptography. DO NOT EDIT.' --package-name edwards25519 Scalar 64 '2^252 + 27742317777372353535851937790883648493' mul add sub opp nonzero from_montgomery to_montgomery to_bytes from_bytes
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//
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// curve description: Scalar
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//
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// machine_wordsize = 64 (from "64")
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//
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// requested operations: mul, add, sub, opp, nonzero, from_montgomery, to_montgomery, to_bytes, from_bytes
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//
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// m = 0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed (from "2^252 + 27742317777372353535851937790883648493")
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//
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//
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//
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// NOTE: In addition to the bounds specified above each function, all
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//
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// functions synthesized for this Montgomery arithmetic require the
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//
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// input to be strictly less than the prime modulus (m), and also
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//
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// require the input to be in the unique saturated representation.
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//
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// All functions also ensure that these two properties are true of
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//
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// return values.
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//
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//
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//
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// Computed values:
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//
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// eval z = z[0] + (z[1] << 64) + (z[2] << 128) + (z[3] << 192)
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//
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// bytes_eval z = z[0] + (z[1] << 8) + (z[2] << 16) + (z[3] << 24) + (z[4] << 32) + (z[5] << 40) + (z[6] << 48) + (z[7] << 56) + (z[8] << 64) + (z[9] << 72) + (z[10] << 80) + (z[11] << 88) + (z[12] << 96) + (z[13] << 104) + (z[14] << 112) + (z[15] << 120) + (z[16] << 128) + (z[17] << 136) + (z[18] << 144) + (z[19] << 152) + (z[20] << 160) + (z[21] << 168) + (z[22] << 176) + (z[23] << 184) + (z[24] << 192) + (z[25] << 200) + (z[26] << 208) + (z[27] << 216) + (z[28] << 224) + (z[29] << 232) + (z[30] << 240) + (z[31] << 248)
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//
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// twos_complement_eval z = let x1 := z[0] + (z[1] << 64) + (z[2] << 128) + (z[3] << 192) in
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//
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// if x1 & (2^256-1) < 2^255 then x1 & (2^256-1) else (x1 & (2^256-1)) - 2^256
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package edwards25519
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import "math/bits"
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type fiatScalarUint1 uint64 // We use uint64 instead of a more narrow type for performance reasons; see https://github.com/mit-plv/fiat-crypto/pull/1006#issuecomment-892625927
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type fiatScalarInt1 int64 // We use uint64 instead of a more narrow type for performance reasons; see https://github.com/mit-plv/fiat-crypto/pull/1006#issuecomment-892625927
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// The type fiatScalarMontgomeryDomainFieldElement is a field element in the Montgomery domain.
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//
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// Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
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type fiatScalarMontgomeryDomainFieldElement [4]uint64
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// The type fiatScalarNonMontgomeryDomainFieldElement is a field element NOT in the Montgomery domain.
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//
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// Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
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type fiatScalarNonMontgomeryDomainFieldElement [4]uint64
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// fiatScalarCmovznzU64 is a single-word conditional move.
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//
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// Postconditions:
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//
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// out1 = (if arg1 = 0 then arg2 else arg3)
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//
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// Input Bounds:
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//
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// arg1: [0x0 ~> 0x1]
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// arg2: [0x0 ~> 0xffffffffffffffff]
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// arg3: [0x0 ~> 0xffffffffffffffff]
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//
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// Output Bounds:
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//
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// out1: [0x0 ~> 0xffffffffffffffff]
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func fiatScalarCmovznzU64(out1 *uint64, arg1 fiatScalarUint1, arg2 uint64, arg3 uint64) {
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x1 := (uint64(arg1) * 0xffffffffffffffff)
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x2 := ((x1 & arg3) | ((^x1) & arg2))
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*out1 = x2
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}
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// fiatScalarMul multiplies two field elements in the Montgomery domain.
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//
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// Preconditions:
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//
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// 0 ≤ eval arg1 < m
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// 0 ≤ eval arg2 < m
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//
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// Postconditions:
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//
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// eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg2)) mod m
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// 0 ≤ eval out1 < m
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func fiatScalarMul(out1 *fiatScalarMontgomeryDomainFieldElement, arg1 *fiatScalarMontgomeryDomainFieldElement, arg2 *fiatScalarMontgomeryDomainFieldElement) {
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x1 := arg1[1]
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x2 := arg1[2]
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x3 := arg1[3]
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x4 := arg1[0]
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var x5 uint64
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var x6 uint64
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x6, x5 = bits.Mul64(x4, arg2[3])
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var x7 uint64
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var x8 uint64
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x8, x7 = bits.Mul64(x4, arg2[2])
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var x9 uint64
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var x10 uint64
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x10, x9 = bits.Mul64(x4, arg2[1])
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var x11 uint64
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var x12 uint64
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x12, x11 = bits.Mul64(x4, arg2[0])
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var x13 uint64
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var x14 uint64
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x13, x14 = bits.Add64(x12, x9, uint64(0x0))
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var x15 uint64
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var x16 uint64
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x15, x16 = bits.Add64(x10, x7, uint64(fiatScalarUint1(x14)))
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var x17 uint64
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var x18 uint64
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x17, x18 = bits.Add64(x8, x5, uint64(fiatScalarUint1(x16)))
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x19 := (uint64(fiatScalarUint1(x18)) + x6)
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var x20 uint64
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_, x20 = bits.Mul64(x11, 0xd2b51da312547e1b)
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var x22 uint64
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var x23 uint64
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x23, x22 = bits.Mul64(x20, 0x1000000000000000)
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var x24 uint64
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var x25 uint64
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x25, x24 = bits.Mul64(x20, 0x14def9dea2f79cd6)
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var x26 uint64
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var x27 uint64
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x27, x26 = bits.Mul64(x20, 0x5812631a5cf5d3ed)
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var x28 uint64
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var x29 uint64
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x28, x29 = bits.Add64(x27, x24, uint64(0x0))
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x30 := (uint64(fiatScalarUint1(x29)) + x25)
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var x32 uint64
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_, x32 = bits.Add64(x11, x26, uint64(0x0))
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var x33 uint64
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var x34 uint64
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x33, x34 = bits.Add64(x13, x28, uint64(fiatScalarUint1(x32)))
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var x35 uint64
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var x36 uint64
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x35, x36 = bits.Add64(x15, x30, uint64(fiatScalarUint1(x34)))
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var x37 uint64
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var x38 uint64
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x37, x38 = bits.Add64(x17, x22, uint64(fiatScalarUint1(x36)))
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var x39 uint64
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var x40 uint64
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x39, x40 = bits.Add64(x19, x23, uint64(fiatScalarUint1(x38)))
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var x41 uint64
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var x42 uint64
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x42, x41 = bits.Mul64(x1, arg2[3])
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var x43 uint64
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var x44 uint64
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x44, x43 = bits.Mul64(x1, arg2[2])
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var x45 uint64
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var x46 uint64
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x46, x45 = bits.Mul64(x1, arg2[1])
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var x47 uint64
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var x48 uint64
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x48, x47 = bits.Mul64(x1, arg2[0])
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var x49 uint64
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var x50 uint64
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x49, x50 = bits.Add64(x48, x45, uint64(0x0))
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var x51 uint64
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var x52 uint64
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x51, x52 = bits.Add64(x46, x43, uint64(fiatScalarUint1(x50)))
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var x53 uint64
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var x54 uint64
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x53, x54 = bits.Add64(x44, x41, uint64(fiatScalarUint1(x52)))
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x55 := (uint64(fiatScalarUint1(x54)) + x42)
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var x56 uint64
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var x57 uint64
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x56, x57 = bits.Add64(x33, x47, uint64(0x0))
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var x58 uint64
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var x59 uint64
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x58, x59 = bits.Add64(x35, x49, uint64(fiatScalarUint1(x57)))
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var x60 uint64
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var x61 uint64
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x60, x61 = bits.Add64(x37, x51, uint64(fiatScalarUint1(x59)))
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var x62 uint64
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var x63 uint64
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x62, x63 = bits.Add64(x39, x53, uint64(fiatScalarUint1(x61)))
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var x64 uint64
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var x65 uint64
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x64, x65 = bits.Add64(uint64(fiatScalarUint1(x40)), x55, uint64(fiatScalarUint1(x63)))
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var x66 uint64
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_, x66 = bits.Mul64(x56, 0xd2b51da312547e1b)
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var x68 uint64
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var x69 uint64
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x69, x68 = bits.Mul64(x66, 0x1000000000000000)
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var x70 uint64
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var x71 uint64
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x71, x70 = bits.Mul64(x66, 0x14def9dea2f79cd6)
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var x72 uint64
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var x73 uint64
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x73, x72 = bits.Mul64(x66, 0x5812631a5cf5d3ed)
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var x74 uint64
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var x75 uint64
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x74, x75 = bits.Add64(x73, x70, uint64(0x0))
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x76 := (uint64(fiatScalarUint1(x75)) + x71)
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var x78 uint64
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_, x78 = bits.Add64(x56, x72, uint64(0x0))
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var x79 uint64
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var x80 uint64
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x79, x80 = bits.Add64(x58, x74, uint64(fiatScalarUint1(x78)))
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var x81 uint64
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var x82 uint64
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x81, x82 = bits.Add64(x60, x76, uint64(fiatScalarUint1(x80)))
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var x83 uint64
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var x84 uint64
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x83, x84 = bits.Add64(x62, x68, uint64(fiatScalarUint1(x82)))
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var x85 uint64
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var x86 uint64
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x85, x86 = bits.Add64(x64, x69, uint64(fiatScalarUint1(x84)))
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x87 := (uint64(fiatScalarUint1(x86)) + uint64(fiatScalarUint1(x65)))
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var x88 uint64
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var x89 uint64
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x89, x88 = bits.Mul64(x2, arg2[3])
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var x90 uint64
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var x91 uint64
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x91, x90 = bits.Mul64(x2, arg2[2])
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var x92 uint64
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var x93 uint64
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x93, x92 = bits.Mul64(x2, arg2[1])
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var x94 uint64
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var x95 uint64
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x95, x94 = bits.Mul64(x2, arg2[0])
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var x96 uint64
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var x97 uint64
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x96, x97 = bits.Add64(x95, x92, uint64(0x0))
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var x98 uint64
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var x99 uint64
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x98, x99 = bits.Add64(x93, x90, uint64(fiatScalarUint1(x97)))
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var x100 uint64
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var x101 uint64
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x100, x101 = bits.Add64(x91, x88, uint64(fiatScalarUint1(x99)))
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x102 := (uint64(fiatScalarUint1(x101)) + x89)
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var x103 uint64
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var x104 uint64
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x103, x104 = bits.Add64(x79, x94, uint64(0x0))
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var x105 uint64
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var x106 uint64
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x105, x106 = bits.Add64(x81, x96, uint64(fiatScalarUint1(x104)))
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var x107 uint64
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var x108 uint64
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x107, x108 = bits.Add64(x83, x98, uint64(fiatScalarUint1(x106)))
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var x109 uint64
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var x110 uint64
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x109, x110 = bits.Add64(x85, x100, uint64(fiatScalarUint1(x108)))
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var x111 uint64
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var x112 uint64
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x111, x112 = bits.Add64(x87, x102, uint64(fiatScalarUint1(x110)))
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var x113 uint64
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_, x113 = bits.Mul64(x103, 0xd2b51da312547e1b)
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var x115 uint64
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var x116 uint64
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x116, x115 = bits.Mul64(x113, 0x1000000000000000)
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var x117 uint64
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var x118 uint64
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x118, x117 = bits.Mul64(x113, 0x14def9dea2f79cd6)
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var x119 uint64
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var x120 uint64
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x120, x119 = bits.Mul64(x113, 0x5812631a5cf5d3ed)
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var x121 uint64
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var x122 uint64
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x121, x122 = bits.Add64(x120, x117, uint64(0x0))
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x123 := (uint64(fiatScalarUint1(x122)) + x118)
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var x125 uint64
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_, x125 = bits.Add64(x103, x119, uint64(0x0))
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var x126 uint64
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var x127 uint64
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x126, x127 = bits.Add64(x105, x121, uint64(fiatScalarUint1(x125)))
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var x128 uint64
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var x129 uint64
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x128, x129 = bits.Add64(x107, x123, uint64(fiatScalarUint1(x127)))
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var x130 uint64
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var x131 uint64
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x130, x131 = bits.Add64(x109, x115, uint64(fiatScalarUint1(x129)))
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var x132 uint64
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var x133 uint64
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x132, x133 = bits.Add64(x111, x116, uint64(fiatScalarUint1(x131)))
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x134 := (uint64(fiatScalarUint1(x133)) + uint64(fiatScalarUint1(x112)))
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var x135 uint64
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var x136 uint64
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x136, x135 = bits.Mul64(x3, arg2[3])
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var x137 uint64
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var x138 uint64
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x138, x137 = bits.Mul64(x3, arg2[2])
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var x139 uint64
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var x140 uint64
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x140, x139 = bits.Mul64(x3, arg2[1])
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var x141 uint64
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var x142 uint64
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x142, x141 = bits.Mul64(x3, arg2[0])
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var x143 uint64
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var x144 uint64
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x143, x144 = bits.Add64(x142, x139, uint64(0x0))
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var x145 uint64
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var x146 uint64
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x145, x146 = bits.Add64(x140, x137, uint64(fiatScalarUint1(x144)))
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var x147 uint64
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var x148 uint64
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x147, x148 = bits.Add64(x138, x135, uint64(fiatScalarUint1(x146)))
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x149 := (uint64(fiatScalarUint1(x148)) + x136)
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var x150 uint64
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var x151 uint64
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x150, x151 = bits.Add64(x126, x141, uint64(0x0))
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var x152 uint64
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var x153 uint64
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x152, x153 = bits.Add64(x128, x143, uint64(fiatScalarUint1(x151)))
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var x154 uint64
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var x155 uint64
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x154, x155 = bits.Add64(x130, x145, uint64(fiatScalarUint1(x153)))
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var x156 uint64
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var x157 uint64
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x156, x157 = bits.Add64(x132, x147, uint64(fiatScalarUint1(x155)))
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var x158 uint64
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var x159 uint64
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x158, x159 = bits.Add64(x134, x149, uint64(fiatScalarUint1(x157)))
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var x160 uint64
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_, x160 = bits.Mul64(x150, 0xd2b51da312547e1b)
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var x162 uint64
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var x163 uint64
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x163, x162 = bits.Mul64(x160, 0x1000000000000000)
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var x164 uint64
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var x165 uint64
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x165, x164 = bits.Mul64(x160, 0x14def9dea2f79cd6)
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var x166 uint64
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var x167 uint64
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x167, x166 = bits.Mul64(x160, 0x5812631a5cf5d3ed)
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var x168 uint64
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var x169 uint64
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x168, x169 = bits.Add64(x167, x164, uint64(0x0))
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x170 := (uint64(fiatScalarUint1(x169)) + x165)
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var x172 uint64
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_, x172 = bits.Add64(x150, x166, uint64(0x0))
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var x173 uint64
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var x174 uint64
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x173, x174 = bits.Add64(x152, x168, uint64(fiatScalarUint1(x172)))
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var x175 uint64
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var x176 uint64
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x175, x176 = bits.Add64(x154, x170, uint64(fiatScalarUint1(x174)))
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var x177 uint64
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var x178 uint64
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x177, x178 = bits.Add64(x156, x162, uint64(fiatScalarUint1(x176)))
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var x179 uint64
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var x180 uint64
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x179, x180 = bits.Add64(x158, x163, uint64(fiatScalarUint1(x178)))
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x181 := (uint64(fiatScalarUint1(x180)) + uint64(fiatScalarUint1(x159)))
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var x182 uint64
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var x183 uint64
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x182, x183 = bits.Sub64(x173, 0x5812631a5cf5d3ed, uint64(0x0))
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var x184 uint64
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var x185 uint64
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x184, x185 = bits.Sub64(x175, 0x14def9dea2f79cd6, uint64(fiatScalarUint1(x183)))
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var x186 uint64
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var x187 uint64
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x186, x187 = bits.Sub64(x177, uint64(0x0), uint64(fiatScalarUint1(x185)))
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var x188 uint64
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var x189 uint64
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x188, x189 = bits.Sub64(x179, 0x1000000000000000, uint64(fiatScalarUint1(x187)))
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var x191 uint64
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_, x191 = bits.Sub64(x181, uint64(0x0), uint64(fiatScalarUint1(x189)))
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var x192 uint64
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fiatScalarCmovznzU64(&x192, fiatScalarUint1(x191), x182, x173)
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var x193 uint64
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fiatScalarCmovznzU64(&x193, fiatScalarUint1(x191), x184, x175)
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var x194 uint64
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fiatScalarCmovznzU64(&x194, fiatScalarUint1(x191), x186, x177)
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var x195 uint64
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fiatScalarCmovznzU64(&x195, fiatScalarUint1(x191), x188, x179)
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out1[0] = x192
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out1[1] = x193
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out1[2] = x194
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out1[3] = x195
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}
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|
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// fiatScalarAdd adds two field elements in the Montgomery domain.
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//
|
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// Preconditions:
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//
|
|
// 0 ≤ eval arg1 < m
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// 0 ≤ eval arg2 < m
|
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//
|
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// Postconditions:
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//
|
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// eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) + eval (from_montgomery arg2)) mod m
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// 0 ≤ eval out1 < m
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func fiatScalarAdd(out1 *fiatScalarMontgomeryDomainFieldElement, arg1 *fiatScalarMontgomeryDomainFieldElement, arg2 *fiatScalarMontgomeryDomainFieldElement) {
|
|
var x1 uint64
|
|
var x2 uint64
|
|
x1, x2 = bits.Add64(arg1[0], arg2[0], uint64(0x0))
|
|
var x3 uint64
|
|
var x4 uint64
|
|
x3, x4 = bits.Add64(arg1[1], arg2[1], uint64(fiatScalarUint1(x2)))
|
|
var x5 uint64
|
|
var x6 uint64
|
|
x5, x6 = bits.Add64(arg1[2], arg2[2], uint64(fiatScalarUint1(x4)))
|
|
var x7 uint64
|
|
var x8 uint64
|
|
x7, x8 = bits.Add64(arg1[3], arg2[3], uint64(fiatScalarUint1(x6)))
|
|
var x9 uint64
|
|
var x10 uint64
|
|
x9, x10 = bits.Sub64(x1, 0x5812631a5cf5d3ed, uint64(0x0))
|
|
var x11 uint64
|
|
var x12 uint64
|
|
x11, x12 = bits.Sub64(x3, 0x14def9dea2f79cd6, uint64(fiatScalarUint1(x10)))
|
|
var x13 uint64
|
|
var x14 uint64
|
|
x13, x14 = bits.Sub64(x5, uint64(0x0), uint64(fiatScalarUint1(x12)))
|
|
var x15 uint64
|
|
var x16 uint64
|
|
x15, x16 = bits.Sub64(x7, 0x1000000000000000, uint64(fiatScalarUint1(x14)))
|
|
var x18 uint64
|
|
_, x18 = bits.Sub64(uint64(fiatScalarUint1(x8)), uint64(0x0), uint64(fiatScalarUint1(x16)))
|
|
var x19 uint64
|
|
fiatScalarCmovznzU64(&x19, fiatScalarUint1(x18), x9, x1)
|
|
var x20 uint64
|
|
fiatScalarCmovznzU64(&x20, fiatScalarUint1(x18), x11, x3)
|
|
var x21 uint64
|
|
fiatScalarCmovznzU64(&x21, fiatScalarUint1(x18), x13, x5)
|
|
var x22 uint64
|
|
fiatScalarCmovznzU64(&x22, fiatScalarUint1(x18), x15, x7)
|
|
out1[0] = x19
|
|
out1[1] = x20
|
|
out1[2] = x21
|
|
out1[3] = x22
|
|
}
|
|
|
|
// fiatScalarSub subtracts two field elements in the Montgomery domain.
|
|
//
|
|
// Preconditions:
|
|
//
|
|
// 0 ≤ eval arg1 < m
|
|
// 0 ≤ eval arg2 < m
|
|
//
|
|
// Postconditions:
|
|
//
|
|
// eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) - eval (from_montgomery arg2)) mod m
|
|
// 0 ≤ eval out1 < m
|
|
func fiatScalarSub(out1 *fiatScalarMontgomeryDomainFieldElement, arg1 *fiatScalarMontgomeryDomainFieldElement, arg2 *fiatScalarMontgomeryDomainFieldElement) {
|
|
var x1 uint64
|
|
var x2 uint64
|
|
x1, x2 = bits.Sub64(arg1[0], arg2[0], uint64(0x0))
|
|
var x3 uint64
|
|
var x4 uint64
|
|
x3, x4 = bits.Sub64(arg1[1], arg2[1], uint64(fiatScalarUint1(x2)))
|
|
var x5 uint64
|
|
var x6 uint64
|
|
x5, x6 = bits.Sub64(arg1[2], arg2[2], uint64(fiatScalarUint1(x4)))
|
|
var x7 uint64
|
|
var x8 uint64
|
|
x7, x8 = bits.Sub64(arg1[3], arg2[3], uint64(fiatScalarUint1(x6)))
|
|
var x9 uint64
|
|
fiatScalarCmovznzU64(&x9, fiatScalarUint1(x8), uint64(0x0), 0xffffffffffffffff)
|
|
var x10 uint64
|
|
var x11 uint64
|
|
x10, x11 = bits.Add64(x1, (x9 & 0x5812631a5cf5d3ed), uint64(0x0))
|
|
var x12 uint64
|
|
var x13 uint64
|
|
x12, x13 = bits.Add64(x3, (x9 & 0x14def9dea2f79cd6), uint64(fiatScalarUint1(x11)))
|
|
var x14 uint64
|
|
var x15 uint64
|
|
x14, x15 = bits.Add64(x5, uint64(0x0), uint64(fiatScalarUint1(x13)))
|
|
var x16 uint64
|
|
x16, _ = bits.Add64(x7, (x9 & 0x1000000000000000), uint64(fiatScalarUint1(x15)))
|
|
out1[0] = x10
|
|
out1[1] = x12
|
|
out1[2] = x14
|
|
out1[3] = x16
|
|
}
|
|
|
|
// fiatScalarOpp negates a field element in the Montgomery domain.
|
|
//
|
|
// Preconditions:
|
|
//
|
|
// 0 ≤ eval arg1 < m
|
|
//
|
|
// Postconditions:
|
|
//
|
|
// eval (from_montgomery out1) mod m = -eval (from_montgomery arg1) mod m
|
|
// 0 ≤ eval out1 < m
|
|
func fiatScalarOpp(out1 *fiatScalarMontgomeryDomainFieldElement, arg1 *fiatScalarMontgomeryDomainFieldElement) {
|
|
var x1 uint64
|
|
var x2 uint64
|
|
x1, x2 = bits.Sub64(uint64(0x0), arg1[0], uint64(0x0))
|
|
var x3 uint64
|
|
var x4 uint64
|
|
x3, x4 = bits.Sub64(uint64(0x0), arg1[1], uint64(fiatScalarUint1(x2)))
|
|
var x5 uint64
|
|
var x6 uint64
|
|
x5, x6 = bits.Sub64(uint64(0x0), arg1[2], uint64(fiatScalarUint1(x4)))
|
|
var x7 uint64
|
|
var x8 uint64
|
|
x7, x8 = bits.Sub64(uint64(0x0), arg1[3], uint64(fiatScalarUint1(x6)))
|
|
var x9 uint64
|
|
fiatScalarCmovznzU64(&x9, fiatScalarUint1(x8), uint64(0x0), 0xffffffffffffffff)
|
|
var x10 uint64
|
|
var x11 uint64
|
|
x10, x11 = bits.Add64(x1, (x9 & 0x5812631a5cf5d3ed), uint64(0x0))
|
|
var x12 uint64
|
|
var x13 uint64
|
|
x12, x13 = bits.Add64(x3, (x9 & 0x14def9dea2f79cd6), uint64(fiatScalarUint1(x11)))
|
|
var x14 uint64
|
|
var x15 uint64
|
|
x14, x15 = bits.Add64(x5, uint64(0x0), uint64(fiatScalarUint1(x13)))
|
|
var x16 uint64
|
|
x16, _ = bits.Add64(x7, (x9 & 0x1000000000000000), uint64(fiatScalarUint1(x15)))
|
|
out1[0] = x10
|
|
out1[1] = x12
|
|
out1[2] = x14
|
|
out1[3] = x16
|
|
}
|
|
|
|
// fiatScalarNonzero outputs a single non-zero word if the input is non-zero and zero otherwise.
|
|
//
|
|
// Preconditions:
|
|
//
|
|
// 0 ≤ eval arg1 < m
|
|
//
|
|
// Postconditions:
|
|
//
|
|
// out1 = 0 ↔ eval (from_montgomery arg1) mod m = 0
|
|
//
|
|
// Input Bounds:
|
|
//
|
|
// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
|
|
//
|
|
// Output Bounds:
|
|
//
|
|
// out1: [0x0 ~> 0xffffffffffffffff]
|
|
func fiatScalarNonzero(out1 *uint64, arg1 *[4]uint64) {
|
|
x1 := (arg1[0] | (arg1[1] | (arg1[2] | arg1[3])))
|
|
*out1 = x1
|
|
}
|
|
|
|
// fiatScalarFromMontgomery translates a field element out of the Montgomery domain.
|
|
//
|
|
// Preconditions:
|
|
//
|
|
// 0 ≤ eval arg1 < m
|
|
//
|
|
// Postconditions:
|
|
//
|
|
// eval out1 mod m = (eval arg1 * ((2^64)⁻¹ mod m)^4) mod m
|
|
// 0 ≤ eval out1 < m
|
|
func fiatScalarFromMontgomery(out1 *fiatScalarNonMontgomeryDomainFieldElement, arg1 *fiatScalarMontgomeryDomainFieldElement) {
|
|
x1 := arg1[0]
|
|
var x2 uint64
|
|
_, x2 = bits.Mul64(x1, 0xd2b51da312547e1b)
|
|
var x4 uint64
|
|
var x5 uint64
|
|
x5, x4 = bits.Mul64(x2, 0x1000000000000000)
|
|
var x6 uint64
|
|
var x7 uint64
|
|
x7, x6 = bits.Mul64(x2, 0x14def9dea2f79cd6)
|
|
var x8 uint64
|
|
var x9 uint64
|
|
x9, x8 = bits.Mul64(x2, 0x5812631a5cf5d3ed)
|
|
var x10 uint64
|
|
var x11 uint64
|
|
x10, x11 = bits.Add64(x9, x6, uint64(0x0))
|
|
var x13 uint64
|
|
_, x13 = bits.Add64(x1, x8, uint64(0x0))
|
|
var x14 uint64
|
|
var x15 uint64
|
|
x14, x15 = bits.Add64(uint64(0x0), x10, uint64(fiatScalarUint1(x13)))
|
|
var x16 uint64
|
|
var x17 uint64
|
|
x16, x17 = bits.Add64(x14, arg1[1], uint64(0x0))
|
|
var x18 uint64
|
|
_, x18 = bits.Mul64(x16, 0xd2b51da312547e1b)
|
|
var x20 uint64
|
|
var x21 uint64
|
|
x21, x20 = bits.Mul64(x18, 0x1000000000000000)
|
|
var x22 uint64
|
|
var x23 uint64
|
|
x23, x22 = bits.Mul64(x18, 0x14def9dea2f79cd6)
|
|
var x24 uint64
|
|
var x25 uint64
|
|
x25, x24 = bits.Mul64(x18, 0x5812631a5cf5d3ed)
|
|
var x26 uint64
|
|
var x27 uint64
|
|
x26, x27 = bits.Add64(x25, x22, uint64(0x0))
|
|
var x29 uint64
|
|
_, x29 = bits.Add64(x16, x24, uint64(0x0))
|
|
var x30 uint64
|
|
var x31 uint64
|
|
x30, x31 = bits.Add64((uint64(fiatScalarUint1(x17)) + (uint64(fiatScalarUint1(x15)) + (uint64(fiatScalarUint1(x11)) + x7))), x26, uint64(fiatScalarUint1(x29)))
|
|
var x32 uint64
|
|
var x33 uint64
|
|
x32, x33 = bits.Add64(x4, (uint64(fiatScalarUint1(x27)) + x23), uint64(fiatScalarUint1(x31)))
|
|
var x34 uint64
|
|
var x35 uint64
|
|
x34, x35 = bits.Add64(x5, x20, uint64(fiatScalarUint1(x33)))
|
|
var x36 uint64
|
|
var x37 uint64
|
|
x36, x37 = bits.Add64(x30, arg1[2], uint64(0x0))
|
|
var x38 uint64
|
|
var x39 uint64
|
|
x38, x39 = bits.Add64(x32, uint64(0x0), uint64(fiatScalarUint1(x37)))
|
|
var x40 uint64
|
|
var x41 uint64
|
|
x40, x41 = bits.Add64(x34, uint64(0x0), uint64(fiatScalarUint1(x39)))
|
|
var x42 uint64
|
|
_, x42 = bits.Mul64(x36, 0xd2b51da312547e1b)
|
|
var x44 uint64
|
|
var x45 uint64
|
|
x45, x44 = bits.Mul64(x42, 0x1000000000000000)
|
|
var x46 uint64
|
|
var x47 uint64
|
|
x47, x46 = bits.Mul64(x42, 0x14def9dea2f79cd6)
|
|
var x48 uint64
|
|
var x49 uint64
|
|
x49, x48 = bits.Mul64(x42, 0x5812631a5cf5d3ed)
|
|
var x50 uint64
|
|
var x51 uint64
|
|
x50, x51 = bits.Add64(x49, x46, uint64(0x0))
|
|
var x53 uint64
|
|
_, x53 = bits.Add64(x36, x48, uint64(0x0))
|
|
var x54 uint64
|
|
var x55 uint64
|
|
x54, x55 = bits.Add64(x38, x50, uint64(fiatScalarUint1(x53)))
|
|
var x56 uint64
|
|
var x57 uint64
|
|
x56, x57 = bits.Add64(x40, (uint64(fiatScalarUint1(x51)) + x47), uint64(fiatScalarUint1(x55)))
|
|
var x58 uint64
|
|
var x59 uint64
|
|
x58, x59 = bits.Add64((uint64(fiatScalarUint1(x41)) + (uint64(fiatScalarUint1(x35)) + x21)), x44, uint64(fiatScalarUint1(x57)))
|
|
var x60 uint64
|
|
var x61 uint64
|
|
x60, x61 = bits.Add64(x54, arg1[3], uint64(0x0))
|
|
var x62 uint64
|
|
var x63 uint64
|
|
x62, x63 = bits.Add64(x56, uint64(0x0), uint64(fiatScalarUint1(x61)))
|
|
var x64 uint64
|
|
var x65 uint64
|
|
x64, x65 = bits.Add64(x58, uint64(0x0), uint64(fiatScalarUint1(x63)))
|
|
var x66 uint64
|
|
_, x66 = bits.Mul64(x60, 0xd2b51da312547e1b)
|
|
var x68 uint64
|
|
var x69 uint64
|
|
x69, x68 = bits.Mul64(x66, 0x1000000000000000)
|
|
var x70 uint64
|
|
var x71 uint64
|
|
x71, x70 = bits.Mul64(x66, 0x14def9dea2f79cd6)
|
|
var x72 uint64
|
|
var x73 uint64
|
|
x73, x72 = bits.Mul64(x66, 0x5812631a5cf5d3ed)
|
|
var x74 uint64
|
|
var x75 uint64
|
|
x74, x75 = bits.Add64(x73, x70, uint64(0x0))
|
|
var x77 uint64
|
|
_, x77 = bits.Add64(x60, x72, uint64(0x0))
|
|
var x78 uint64
|
|
var x79 uint64
|
|
x78, x79 = bits.Add64(x62, x74, uint64(fiatScalarUint1(x77)))
|
|
var x80 uint64
|
|
var x81 uint64
|
|
x80, x81 = bits.Add64(x64, (uint64(fiatScalarUint1(x75)) + x71), uint64(fiatScalarUint1(x79)))
|
|
var x82 uint64
|
|
var x83 uint64
|
|
x82, x83 = bits.Add64((uint64(fiatScalarUint1(x65)) + (uint64(fiatScalarUint1(x59)) + x45)), x68, uint64(fiatScalarUint1(x81)))
|
|
x84 := (uint64(fiatScalarUint1(x83)) + x69)
|
|
var x85 uint64
|
|
var x86 uint64
|
|
x85, x86 = bits.Sub64(x78, 0x5812631a5cf5d3ed, uint64(0x0))
|
|
var x87 uint64
|
|
var x88 uint64
|
|
x87, x88 = bits.Sub64(x80, 0x14def9dea2f79cd6, uint64(fiatScalarUint1(x86)))
|
|
var x89 uint64
|
|
var x90 uint64
|
|
x89, x90 = bits.Sub64(x82, uint64(0x0), uint64(fiatScalarUint1(x88)))
|
|
var x91 uint64
|
|
var x92 uint64
|
|
x91, x92 = bits.Sub64(x84, 0x1000000000000000, uint64(fiatScalarUint1(x90)))
|
|
var x94 uint64
|
|
_, x94 = bits.Sub64(uint64(0x0), uint64(0x0), uint64(fiatScalarUint1(x92)))
|
|
var x95 uint64
|
|
fiatScalarCmovznzU64(&x95, fiatScalarUint1(x94), x85, x78)
|
|
var x96 uint64
|
|
fiatScalarCmovznzU64(&x96, fiatScalarUint1(x94), x87, x80)
|
|
var x97 uint64
|
|
fiatScalarCmovznzU64(&x97, fiatScalarUint1(x94), x89, x82)
|
|
var x98 uint64
|
|
fiatScalarCmovznzU64(&x98, fiatScalarUint1(x94), x91, x84)
|
|
out1[0] = x95
|
|
out1[1] = x96
|
|
out1[2] = x97
|
|
out1[3] = x98
|
|
}
|
|
|
|
// fiatScalarToMontgomery translates a field element into the Montgomery domain.
|
|
//
|
|
// Preconditions:
|
|
//
|
|
// 0 ≤ eval arg1 < m
|
|
//
|
|
// Postconditions:
|
|
//
|
|
// eval (from_montgomery out1) mod m = eval arg1 mod m
|
|
// 0 ≤ eval out1 < m
|
|
func fiatScalarToMontgomery(out1 *fiatScalarMontgomeryDomainFieldElement, arg1 *fiatScalarNonMontgomeryDomainFieldElement) {
|
|
x1 := arg1[1]
|
|
x2 := arg1[2]
|
|
x3 := arg1[3]
|
|
x4 := arg1[0]
|
|
var x5 uint64
|
|
var x6 uint64
|
|
x6, x5 = bits.Mul64(x4, 0x399411b7c309a3d)
|
|
var x7 uint64
|
|
var x8 uint64
|
|
x8, x7 = bits.Mul64(x4, 0xceec73d217f5be65)
|
|
var x9 uint64
|
|
var x10 uint64
|
|
x10, x9 = bits.Mul64(x4, 0xd00e1ba768859347)
|
|
var x11 uint64
|
|
var x12 uint64
|
|
x12, x11 = bits.Mul64(x4, 0xa40611e3449c0f01)
|
|
var x13 uint64
|
|
var x14 uint64
|
|
x13, x14 = bits.Add64(x12, x9, uint64(0x0))
|
|
var x15 uint64
|
|
var x16 uint64
|
|
x15, x16 = bits.Add64(x10, x7, uint64(fiatScalarUint1(x14)))
|
|
var x17 uint64
|
|
var x18 uint64
|
|
x17, x18 = bits.Add64(x8, x5, uint64(fiatScalarUint1(x16)))
|
|
var x19 uint64
|
|
_, x19 = bits.Mul64(x11, 0xd2b51da312547e1b)
|
|
var x21 uint64
|
|
var x22 uint64
|
|
x22, x21 = bits.Mul64(x19, 0x1000000000000000)
|
|
var x23 uint64
|
|
var x24 uint64
|
|
x24, x23 = bits.Mul64(x19, 0x14def9dea2f79cd6)
|
|
var x25 uint64
|
|
var x26 uint64
|
|
x26, x25 = bits.Mul64(x19, 0x5812631a5cf5d3ed)
|
|
var x27 uint64
|
|
var x28 uint64
|
|
x27, x28 = bits.Add64(x26, x23, uint64(0x0))
|
|
var x30 uint64
|
|
_, x30 = bits.Add64(x11, x25, uint64(0x0))
|
|
var x31 uint64
|
|
var x32 uint64
|
|
x31, x32 = bits.Add64(x13, x27, uint64(fiatScalarUint1(x30)))
|
|
var x33 uint64
|
|
var x34 uint64
|
|
x33, x34 = bits.Add64(x15, (uint64(fiatScalarUint1(x28)) + x24), uint64(fiatScalarUint1(x32)))
|
|
var x35 uint64
|
|
var x36 uint64
|
|
x35, x36 = bits.Add64(x17, x21, uint64(fiatScalarUint1(x34)))
|
|
var x37 uint64
|
|
var x38 uint64
|
|
x38, x37 = bits.Mul64(x1, 0x399411b7c309a3d)
|
|
var x39 uint64
|
|
var x40 uint64
|
|
x40, x39 = bits.Mul64(x1, 0xceec73d217f5be65)
|
|
var x41 uint64
|
|
var x42 uint64
|
|
x42, x41 = bits.Mul64(x1, 0xd00e1ba768859347)
|
|
var x43 uint64
|
|
var x44 uint64
|
|
x44, x43 = bits.Mul64(x1, 0xa40611e3449c0f01)
|
|
var x45 uint64
|
|
var x46 uint64
|
|
x45, x46 = bits.Add64(x44, x41, uint64(0x0))
|
|
var x47 uint64
|
|
var x48 uint64
|
|
x47, x48 = bits.Add64(x42, x39, uint64(fiatScalarUint1(x46)))
|
|
var x49 uint64
|
|
var x50 uint64
|
|
x49, x50 = bits.Add64(x40, x37, uint64(fiatScalarUint1(x48)))
|
|
var x51 uint64
|
|
var x52 uint64
|
|
x51, x52 = bits.Add64(x31, x43, uint64(0x0))
|
|
var x53 uint64
|
|
var x54 uint64
|
|
x53, x54 = bits.Add64(x33, x45, uint64(fiatScalarUint1(x52)))
|
|
var x55 uint64
|
|
var x56 uint64
|
|
x55, x56 = bits.Add64(x35, x47, uint64(fiatScalarUint1(x54)))
|
|
var x57 uint64
|
|
var x58 uint64
|
|
x57, x58 = bits.Add64(((uint64(fiatScalarUint1(x36)) + (uint64(fiatScalarUint1(x18)) + x6)) + x22), x49, uint64(fiatScalarUint1(x56)))
|
|
var x59 uint64
|
|
_, x59 = bits.Mul64(x51, 0xd2b51da312547e1b)
|
|
var x61 uint64
|
|
var x62 uint64
|
|
x62, x61 = bits.Mul64(x59, 0x1000000000000000)
|
|
var x63 uint64
|
|
var x64 uint64
|
|
x64, x63 = bits.Mul64(x59, 0x14def9dea2f79cd6)
|
|
var x65 uint64
|
|
var x66 uint64
|
|
x66, x65 = bits.Mul64(x59, 0x5812631a5cf5d3ed)
|
|
var x67 uint64
|
|
var x68 uint64
|
|
x67, x68 = bits.Add64(x66, x63, uint64(0x0))
|
|
var x70 uint64
|
|
_, x70 = bits.Add64(x51, x65, uint64(0x0))
|
|
var x71 uint64
|
|
var x72 uint64
|
|
x71, x72 = bits.Add64(x53, x67, uint64(fiatScalarUint1(x70)))
|
|
var x73 uint64
|
|
var x74 uint64
|
|
x73, x74 = bits.Add64(x55, (uint64(fiatScalarUint1(x68)) + x64), uint64(fiatScalarUint1(x72)))
|
|
var x75 uint64
|
|
var x76 uint64
|
|
x75, x76 = bits.Add64(x57, x61, uint64(fiatScalarUint1(x74)))
|
|
var x77 uint64
|
|
var x78 uint64
|
|
x78, x77 = bits.Mul64(x2, 0x399411b7c309a3d)
|
|
var x79 uint64
|
|
var x80 uint64
|
|
x80, x79 = bits.Mul64(x2, 0xceec73d217f5be65)
|
|
var x81 uint64
|
|
var x82 uint64
|
|
x82, x81 = bits.Mul64(x2, 0xd00e1ba768859347)
|
|
var x83 uint64
|
|
var x84 uint64
|
|
x84, x83 = bits.Mul64(x2, 0xa40611e3449c0f01)
|
|
var x85 uint64
|
|
var x86 uint64
|
|
x85, x86 = bits.Add64(x84, x81, uint64(0x0))
|
|
var x87 uint64
|
|
var x88 uint64
|
|
x87, x88 = bits.Add64(x82, x79, uint64(fiatScalarUint1(x86)))
|
|
var x89 uint64
|
|
var x90 uint64
|
|
x89, x90 = bits.Add64(x80, x77, uint64(fiatScalarUint1(x88)))
|
|
var x91 uint64
|
|
var x92 uint64
|
|
x91, x92 = bits.Add64(x71, x83, uint64(0x0))
|
|
var x93 uint64
|
|
var x94 uint64
|
|
x93, x94 = bits.Add64(x73, x85, uint64(fiatScalarUint1(x92)))
|
|
var x95 uint64
|
|
var x96 uint64
|
|
x95, x96 = bits.Add64(x75, x87, uint64(fiatScalarUint1(x94)))
|
|
var x97 uint64
|
|
var x98 uint64
|
|
x97, x98 = bits.Add64(((uint64(fiatScalarUint1(x76)) + (uint64(fiatScalarUint1(x58)) + (uint64(fiatScalarUint1(x50)) + x38))) + x62), x89, uint64(fiatScalarUint1(x96)))
|
|
var x99 uint64
|
|
_, x99 = bits.Mul64(x91, 0xd2b51da312547e1b)
|
|
var x101 uint64
|
|
var x102 uint64
|
|
x102, x101 = bits.Mul64(x99, 0x1000000000000000)
|
|
var x103 uint64
|
|
var x104 uint64
|
|
x104, x103 = bits.Mul64(x99, 0x14def9dea2f79cd6)
|
|
var x105 uint64
|
|
var x106 uint64
|
|
x106, x105 = bits.Mul64(x99, 0x5812631a5cf5d3ed)
|
|
var x107 uint64
|
|
var x108 uint64
|
|
x107, x108 = bits.Add64(x106, x103, uint64(0x0))
|
|
var x110 uint64
|
|
_, x110 = bits.Add64(x91, x105, uint64(0x0))
|
|
var x111 uint64
|
|
var x112 uint64
|
|
x111, x112 = bits.Add64(x93, x107, uint64(fiatScalarUint1(x110)))
|
|
var x113 uint64
|
|
var x114 uint64
|
|
x113, x114 = bits.Add64(x95, (uint64(fiatScalarUint1(x108)) + x104), uint64(fiatScalarUint1(x112)))
|
|
var x115 uint64
|
|
var x116 uint64
|
|
x115, x116 = bits.Add64(x97, x101, uint64(fiatScalarUint1(x114)))
|
|
var x117 uint64
|
|
var x118 uint64
|
|
x118, x117 = bits.Mul64(x3, 0x399411b7c309a3d)
|
|
var x119 uint64
|
|
var x120 uint64
|
|
x120, x119 = bits.Mul64(x3, 0xceec73d217f5be65)
|
|
var x121 uint64
|
|
var x122 uint64
|
|
x122, x121 = bits.Mul64(x3, 0xd00e1ba768859347)
|
|
var x123 uint64
|
|
var x124 uint64
|
|
x124, x123 = bits.Mul64(x3, 0xa40611e3449c0f01)
|
|
var x125 uint64
|
|
var x126 uint64
|
|
x125, x126 = bits.Add64(x124, x121, uint64(0x0))
|
|
var x127 uint64
|
|
var x128 uint64
|
|
x127, x128 = bits.Add64(x122, x119, uint64(fiatScalarUint1(x126)))
|
|
var x129 uint64
|
|
var x130 uint64
|
|
x129, x130 = bits.Add64(x120, x117, uint64(fiatScalarUint1(x128)))
|
|
var x131 uint64
|
|
var x132 uint64
|
|
x131, x132 = bits.Add64(x111, x123, uint64(0x0))
|
|
var x133 uint64
|
|
var x134 uint64
|
|
x133, x134 = bits.Add64(x113, x125, uint64(fiatScalarUint1(x132)))
|
|
var x135 uint64
|
|
var x136 uint64
|
|
x135, x136 = bits.Add64(x115, x127, uint64(fiatScalarUint1(x134)))
|
|
var x137 uint64
|
|
var x138 uint64
|
|
x137, x138 = bits.Add64(((uint64(fiatScalarUint1(x116)) + (uint64(fiatScalarUint1(x98)) + (uint64(fiatScalarUint1(x90)) + x78))) + x102), x129, uint64(fiatScalarUint1(x136)))
|
|
var x139 uint64
|
|
_, x139 = bits.Mul64(x131, 0xd2b51da312547e1b)
|
|
var x141 uint64
|
|
var x142 uint64
|
|
x142, x141 = bits.Mul64(x139, 0x1000000000000000)
|
|
var x143 uint64
|
|
var x144 uint64
|
|
x144, x143 = bits.Mul64(x139, 0x14def9dea2f79cd6)
|
|
var x145 uint64
|
|
var x146 uint64
|
|
x146, x145 = bits.Mul64(x139, 0x5812631a5cf5d3ed)
|
|
var x147 uint64
|
|
var x148 uint64
|
|
x147, x148 = bits.Add64(x146, x143, uint64(0x0))
|
|
var x150 uint64
|
|
_, x150 = bits.Add64(x131, x145, uint64(0x0))
|
|
var x151 uint64
|
|
var x152 uint64
|
|
x151, x152 = bits.Add64(x133, x147, uint64(fiatScalarUint1(x150)))
|
|
var x153 uint64
|
|
var x154 uint64
|
|
x153, x154 = bits.Add64(x135, (uint64(fiatScalarUint1(x148)) + x144), uint64(fiatScalarUint1(x152)))
|
|
var x155 uint64
|
|
var x156 uint64
|
|
x155, x156 = bits.Add64(x137, x141, uint64(fiatScalarUint1(x154)))
|
|
x157 := ((uint64(fiatScalarUint1(x156)) + (uint64(fiatScalarUint1(x138)) + (uint64(fiatScalarUint1(x130)) + x118))) + x142)
|
|
var x158 uint64
|
|
var x159 uint64
|
|
x158, x159 = bits.Sub64(x151, 0x5812631a5cf5d3ed, uint64(0x0))
|
|
var x160 uint64
|
|
var x161 uint64
|
|
x160, x161 = bits.Sub64(x153, 0x14def9dea2f79cd6, uint64(fiatScalarUint1(x159)))
|
|
var x162 uint64
|
|
var x163 uint64
|
|
x162, x163 = bits.Sub64(x155, uint64(0x0), uint64(fiatScalarUint1(x161)))
|
|
var x164 uint64
|
|
var x165 uint64
|
|
x164, x165 = bits.Sub64(x157, 0x1000000000000000, uint64(fiatScalarUint1(x163)))
|
|
var x167 uint64
|
|
_, x167 = bits.Sub64(uint64(0x0), uint64(0x0), uint64(fiatScalarUint1(x165)))
|
|
var x168 uint64
|
|
fiatScalarCmovznzU64(&x168, fiatScalarUint1(x167), x158, x151)
|
|
var x169 uint64
|
|
fiatScalarCmovznzU64(&x169, fiatScalarUint1(x167), x160, x153)
|
|
var x170 uint64
|
|
fiatScalarCmovznzU64(&x170, fiatScalarUint1(x167), x162, x155)
|
|
var x171 uint64
|
|
fiatScalarCmovznzU64(&x171, fiatScalarUint1(x167), x164, x157)
|
|
out1[0] = x168
|
|
out1[1] = x169
|
|
out1[2] = x170
|
|
out1[3] = x171
|
|
}
|
|
|
|
// fiatScalarToBytes serializes a field element NOT in the Montgomery domain to bytes in little-endian order.
|
|
//
|
|
// Preconditions:
|
|
//
|
|
// 0 ≤ eval arg1 < m
|
|
//
|
|
// Postconditions:
|
|
//
|
|
// out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..31]
|
|
//
|
|
// Input Bounds:
|
|
//
|
|
// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0x1fffffffffffffff]]
|
|
//
|
|
// Output Bounds:
|
|
//
|
|
// out1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0x1f]]
|
|
func fiatScalarToBytes(out1 *[32]uint8, arg1 *[4]uint64) {
|
|
x1 := arg1[3]
|
|
x2 := arg1[2]
|
|
x3 := arg1[1]
|
|
x4 := arg1[0]
|
|
x5 := (uint8(x4) & 0xff)
|
|
x6 := (x4 >> 8)
|
|
x7 := (uint8(x6) & 0xff)
|
|
x8 := (x6 >> 8)
|
|
x9 := (uint8(x8) & 0xff)
|
|
x10 := (x8 >> 8)
|
|
x11 := (uint8(x10) & 0xff)
|
|
x12 := (x10 >> 8)
|
|
x13 := (uint8(x12) & 0xff)
|
|
x14 := (x12 >> 8)
|
|
x15 := (uint8(x14) & 0xff)
|
|
x16 := (x14 >> 8)
|
|
x17 := (uint8(x16) & 0xff)
|
|
x18 := uint8((x16 >> 8))
|
|
x19 := (uint8(x3) & 0xff)
|
|
x20 := (x3 >> 8)
|
|
x21 := (uint8(x20) & 0xff)
|
|
x22 := (x20 >> 8)
|
|
x23 := (uint8(x22) & 0xff)
|
|
x24 := (x22 >> 8)
|
|
x25 := (uint8(x24) & 0xff)
|
|
x26 := (x24 >> 8)
|
|
x27 := (uint8(x26) & 0xff)
|
|
x28 := (x26 >> 8)
|
|
x29 := (uint8(x28) & 0xff)
|
|
x30 := (x28 >> 8)
|
|
x31 := (uint8(x30) & 0xff)
|
|
x32 := uint8((x30 >> 8))
|
|
x33 := (uint8(x2) & 0xff)
|
|
x34 := (x2 >> 8)
|
|
x35 := (uint8(x34) & 0xff)
|
|
x36 := (x34 >> 8)
|
|
x37 := (uint8(x36) & 0xff)
|
|
x38 := (x36 >> 8)
|
|
x39 := (uint8(x38) & 0xff)
|
|
x40 := (x38 >> 8)
|
|
x41 := (uint8(x40) & 0xff)
|
|
x42 := (x40 >> 8)
|
|
x43 := (uint8(x42) & 0xff)
|
|
x44 := (x42 >> 8)
|
|
x45 := (uint8(x44) & 0xff)
|
|
x46 := uint8((x44 >> 8))
|
|
x47 := (uint8(x1) & 0xff)
|
|
x48 := (x1 >> 8)
|
|
x49 := (uint8(x48) & 0xff)
|
|
x50 := (x48 >> 8)
|
|
x51 := (uint8(x50) & 0xff)
|
|
x52 := (x50 >> 8)
|
|
x53 := (uint8(x52) & 0xff)
|
|
x54 := (x52 >> 8)
|
|
x55 := (uint8(x54) & 0xff)
|
|
x56 := (x54 >> 8)
|
|
x57 := (uint8(x56) & 0xff)
|
|
x58 := (x56 >> 8)
|
|
x59 := (uint8(x58) & 0xff)
|
|
x60 := uint8((x58 >> 8))
|
|
out1[0] = x5
|
|
out1[1] = x7
|
|
out1[2] = x9
|
|
out1[3] = x11
|
|
out1[4] = x13
|
|
out1[5] = x15
|
|
out1[6] = x17
|
|
out1[7] = x18
|
|
out1[8] = x19
|
|
out1[9] = x21
|
|
out1[10] = x23
|
|
out1[11] = x25
|
|
out1[12] = x27
|
|
out1[13] = x29
|
|
out1[14] = x31
|
|
out1[15] = x32
|
|
out1[16] = x33
|
|
out1[17] = x35
|
|
out1[18] = x37
|
|
out1[19] = x39
|
|
out1[20] = x41
|
|
out1[21] = x43
|
|
out1[22] = x45
|
|
out1[23] = x46
|
|
out1[24] = x47
|
|
out1[25] = x49
|
|
out1[26] = x51
|
|
out1[27] = x53
|
|
out1[28] = x55
|
|
out1[29] = x57
|
|
out1[30] = x59
|
|
out1[31] = x60
|
|
}
|
|
|
|
// fiatScalarFromBytes deserializes a field element NOT in the Montgomery domain from bytes in little-endian order.
|
|
//
|
|
// Preconditions:
|
|
//
|
|
// 0 ≤ bytes_eval arg1 < m
|
|
//
|
|
// Postconditions:
|
|
//
|
|
// eval out1 mod m = bytes_eval arg1 mod m
|
|
// 0 ≤ eval out1 < m
|
|
//
|
|
// Input Bounds:
|
|
//
|
|
// arg1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0x1f]]
|
|
//
|
|
// Output Bounds:
|
|
//
|
|
// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0x1fffffffffffffff]]
|
|
func fiatScalarFromBytes(out1 *[4]uint64, arg1 *[32]uint8) {
|
|
x1 := (uint64(arg1[31]) << 56)
|
|
x2 := (uint64(arg1[30]) << 48)
|
|
x3 := (uint64(arg1[29]) << 40)
|
|
x4 := (uint64(arg1[28]) << 32)
|
|
x5 := (uint64(arg1[27]) << 24)
|
|
x6 := (uint64(arg1[26]) << 16)
|
|
x7 := (uint64(arg1[25]) << 8)
|
|
x8 := arg1[24]
|
|
x9 := (uint64(arg1[23]) << 56)
|
|
x10 := (uint64(arg1[22]) << 48)
|
|
x11 := (uint64(arg1[21]) << 40)
|
|
x12 := (uint64(arg1[20]) << 32)
|
|
x13 := (uint64(arg1[19]) << 24)
|
|
x14 := (uint64(arg1[18]) << 16)
|
|
x15 := (uint64(arg1[17]) << 8)
|
|
x16 := arg1[16]
|
|
x17 := (uint64(arg1[15]) << 56)
|
|
x18 := (uint64(arg1[14]) << 48)
|
|
x19 := (uint64(arg1[13]) << 40)
|
|
x20 := (uint64(arg1[12]) << 32)
|
|
x21 := (uint64(arg1[11]) << 24)
|
|
x22 := (uint64(arg1[10]) << 16)
|
|
x23 := (uint64(arg1[9]) << 8)
|
|
x24 := arg1[8]
|
|
x25 := (uint64(arg1[7]) << 56)
|
|
x26 := (uint64(arg1[6]) << 48)
|
|
x27 := (uint64(arg1[5]) << 40)
|
|
x28 := (uint64(arg1[4]) << 32)
|
|
x29 := (uint64(arg1[3]) << 24)
|
|
x30 := (uint64(arg1[2]) << 16)
|
|
x31 := (uint64(arg1[1]) << 8)
|
|
x32 := arg1[0]
|
|
x33 := (x31 + uint64(x32))
|
|
x34 := (x30 + x33)
|
|
x35 := (x29 + x34)
|
|
x36 := (x28 + x35)
|
|
x37 := (x27 + x36)
|
|
x38 := (x26 + x37)
|
|
x39 := (x25 + x38)
|
|
x40 := (x23 + uint64(x24))
|
|
x41 := (x22 + x40)
|
|
x42 := (x21 + x41)
|
|
x43 := (x20 + x42)
|
|
x44 := (x19 + x43)
|
|
x45 := (x18 + x44)
|
|
x46 := (x17 + x45)
|
|
x47 := (x15 + uint64(x16))
|
|
x48 := (x14 + x47)
|
|
x49 := (x13 + x48)
|
|
x50 := (x12 + x49)
|
|
x51 := (x11 + x50)
|
|
x52 := (x10 + x51)
|
|
x53 := (x9 + x52)
|
|
x54 := (x7 + uint64(x8))
|
|
x55 := (x6 + x54)
|
|
x56 := (x5 + x55)
|
|
x57 := (x4 + x56)
|
|
x58 := (x3 + x57)
|
|
x59 := (x2 + x58)
|
|
x60 := (x1 + x59)
|
|
out1[0] = x39
|
|
out1[1] = x46
|
|
out1[2] = x53
|
|
out1[3] = x60
|
|
}
|