| // Code generated by Fiat Cryptography. DO NOT EDIT. |
| // |
| // 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 |
| // |
| // curve description: Scalar |
| // |
| // machine_wordsize = 64 (from "64") |
| // |
| // requested operations: mul, add, sub, opp, nonzero, from_montgomery, to_montgomery, to_bytes, from_bytes |
| // |
| // m = 0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed (from "2^252 + 27742317777372353535851937790883648493") |
| // |
| // |
| // |
| // NOTE: In addition to the bounds specified above each function, all |
| // |
| // functions synthesized for this Montgomery arithmetic require the |
| // |
| // input to be strictly less than the prime modulus (m), and also |
| // |
| // require the input to be in the unique saturated representation. |
| // |
| // All functions also ensure that these two properties are true of |
| // |
| // return values. |
| // |
| // |
| // |
| // Computed values: |
| // |
| // eval z = z[0] + (z[1] << 64) + (z[2] << 128) + (z[3] << 192) |
| // |
| // 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) |
| // |
| // twos_complement_eval z = let x1 := z[0] + (z[1] << 64) + (z[2] << 128) + (z[3] << 192) in |
| // |
| // if x1 & (2^256-1) < 2^255 then x1 & (2^256-1) else (x1 & (2^256-1)) - 2^256 |
| |
| package edwards25519 |
| |
| import "math/bits" |
| |
| 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 |
| 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 |
| |
| // The type fiatScalarMontgomeryDomainFieldElement is a field element in the Montgomery domain. |
| // |
| // Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] |
| type fiatScalarMontgomeryDomainFieldElement [4]uint64 |
| |
| // The type fiatScalarNonMontgomeryDomainFieldElement is a field element NOT in the Montgomery domain. |
| // |
| // Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] |
| type fiatScalarNonMontgomeryDomainFieldElement [4]uint64 |
| |
| // fiatScalarCmovznzU64 is a single-word conditional move. |
| // |
| // Postconditions: |
| // |
| // out1 = (if arg1 = 0 then arg2 else arg3) |
| // |
| // Input Bounds: |
| // |
| // arg1: [0x0 ~> 0x1] |
| // arg2: [0x0 ~> 0xffffffffffffffff] |
| // arg3: [0x0 ~> 0xffffffffffffffff] |
| // |
| // Output Bounds: |
| // |
| // out1: [0x0 ~> 0xffffffffffffffff] |
| func fiatScalarCmovznzU64(out1 *uint64, arg1 fiatScalarUint1, arg2 uint64, arg3 uint64) { |
| x1 := (uint64(arg1) * 0xffffffffffffffff) |
| x2 := ((x1 & arg3) | ((^x1) & arg2)) |
| *out1 = x2 |
| } |
| |
| // fiatScalarMul multiplies 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 fiatScalarMul(out1 *fiatScalarMontgomeryDomainFieldElement, arg1 *fiatScalarMontgomeryDomainFieldElement, arg2 *fiatScalarMontgomeryDomainFieldElement) { |
| x1 := arg1[1] |
| x2 := arg1[2] |
| x3 := arg1[3] |
| x4 := arg1[0] |
| var x5 uint64 |
| var x6 uint64 |
| x6, x5 = bits.Mul64(x4, arg2[3]) |
| var x7 uint64 |
| var x8 uint64 |
| x8, x7 = bits.Mul64(x4, arg2[2]) |
| var x9 uint64 |
| var x10 uint64 |
| x10, x9 = bits.Mul64(x4, arg2[1]) |
| var x11 uint64 |
| var x12 uint64 |
| x12, x11 = bits.Mul64(x4, arg2[0]) |
| 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))) |
| x19 := (uint64(fiatScalarUint1(x18)) + x6) |
| var x20 uint64 |
| _, x20 = bits.Mul64(x11, 0xd2b51da312547e1b) |
| var x22 uint64 |
| var x23 uint64 |
| x23, x22 = bits.Mul64(x20, 0x1000000000000000) |
| var x24 uint64 |
| var x25 uint64 |
| x25, x24 = bits.Mul64(x20, 0x14def9dea2f79cd6) |
| var x26 uint64 |
| var x27 uint64 |
| x27, x26 = bits.Mul64(x20, 0x5812631a5cf5d3ed) |
| var x28 uint64 |
| var x29 uint64 |
| x28, x29 = bits.Add64(x27, x24, uint64(0x0)) |
| x30 := (uint64(fiatScalarUint1(x29)) + x25) |
| var x32 uint64 |
| _, x32 = bits.Add64(x11, x26, uint64(0x0)) |
| var x33 uint64 |
| var x34 uint64 |
| x33, x34 = bits.Add64(x13, x28, uint64(fiatScalarUint1(x32))) |
| var x35 uint64 |
| var x36 uint64 |
| x35, x36 = bits.Add64(x15, x30, uint64(fiatScalarUint1(x34))) |
| var x37 uint64 |
| var x38 uint64 |
| x37, x38 = bits.Add64(x17, x22, uint64(fiatScalarUint1(x36))) |
| var x39 uint64 |
| var x40 uint64 |
| x39, x40 = bits.Add64(x19, x23, uint64(fiatScalarUint1(x38))) |
| var x41 uint64 |
| var x42 uint64 |
| x42, x41 = bits.Mul64(x1, arg2[3]) |
| var x43 uint64 |
| var x44 uint64 |
| x44, x43 = bits.Mul64(x1, arg2[2]) |
| var x45 uint64 |
| var x46 uint64 |
| x46, x45 = bits.Mul64(x1, arg2[1]) |
| var x47 uint64 |
| var x48 uint64 |
| x48, x47 = bits.Mul64(x1, arg2[0]) |
| var x49 uint64 |
| var x50 uint64 |
| x49, x50 = bits.Add64(x48, x45, uint64(0x0)) |
| var x51 uint64 |
| var x52 uint64 |
| x51, x52 = bits.Add64(x46, x43, uint64(fiatScalarUint1(x50))) |
| var x53 uint64 |
| var x54 uint64 |
| x53, x54 = bits.Add64(x44, x41, uint64(fiatScalarUint1(x52))) |
| x55 := (uint64(fiatScalarUint1(x54)) + x42) |
| var x56 uint64 |
| var x57 uint64 |
| x56, x57 = bits.Add64(x33, x47, uint64(0x0)) |
| var x58 uint64 |
| var x59 uint64 |
| x58, x59 = bits.Add64(x35, x49, uint64(fiatScalarUint1(x57))) |
| var x60 uint64 |
| var x61 uint64 |
| x60, x61 = bits.Add64(x37, x51, uint64(fiatScalarUint1(x59))) |
| var x62 uint64 |
| var x63 uint64 |
| x62, x63 = bits.Add64(x39, x53, uint64(fiatScalarUint1(x61))) |
| var x64 uint64 |
| var x65 uint64 |
| x64, x65 = bits.Add64(uint64(fiatScalarUint1(x40)), x55, uint64(fiatScalarUint1(x63))) |
| var x66 uint64 |
| _, x66 = bits.Mul64(x56, 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)) |
| x76 := (uint64(fiatScalarUint1(x75)) + x71) |
| var x78 uint64 |
| _, x78 = bits.Add64(x56, x72, uint64(0x0)) |
| var x79 uint64 |
| var x80 uint64 |
| x79, x80 = bits.Add64(x58, x74, uint64(fiatScalarUint1(x78))) |
| var x81 uint64 |
| var x82 uint64 |
| x81, x82 = bits.Add64(x60, x76, uint64(fiatScalarUint1(x80))) |
| var x83 uint64 |
| var x84 uint64 |
| x83, x84 = bits.Add64(x62, x68, uint64(fiatScalarUint1(x82))) |
| var x85 uint64 |
| var x86 uint64 |
| x85, x86 = bits.Add64(x64, x69, uint64(fiatScalarUint1(x84))) |
| x87 := (uint64(fiatScalarUint1(x86)) + uint64(fiatScalarUint1(x65))) |
| var x88 uint64 |
| var x89 uint64 |
| x89, x88 = bits.Mul64(x2, arg2[3]) |
| var x90 uint64 |
| var x91 uint64 |
| x91, x90 = bits.Mul64(x2, arg2[2]) |
| var x92 uint64 |
| var x93 uint64 |
| x93, x92 = bits.Mul64(x2, arg2[1]) |
| var x94 uint64 |
| var x95 uint64 |
| x95, x94 = bits.Mul64(x2, arg2[0]) |
| var x96 uint64 |
| var x97 uint64 |
| x96, x97 = bits.Add64(x95, x92, uint64(0x0)) |
| var x98 uint64 |
| var x99 uint64 |
| x98, x99 = bits.Add64(x93, x90, uint64(fiatScalarUint1(x97))) |
| var x100 uint64 |
| var x101 uint64 |
| x100, x101 = bits.Add64(x91, x88, uint64(fiatScalarUint1(x99))) |
| x102 := (uint64(fiatScalarUint1(x101)) + x89) |
| var x103 uint64 |
| var x104 uint64 |
| x103, x104 = bits.Add64(x79, x94, uint64(0x0)) |
| var x105 uint64 |
| var x106 uint64 |
| x105, x106 = bits.Add64(x81, x96, uint64(fiatScalarUint1(x104))) |
| var x107 uint64 |
| var x108 uint64 |
| x107, x108 = bits.Add64(x83, x98, uint64(fiatScalarUint1(x106))) |
| var x109 uint64 |
| var x110 uint64 |
| x109, x110 = bits.Add64(x85, x100, uint64(fiatScalarUint1(x108))) |
| var x111 uint64 |
| var x112 uint64 |
| x111, x112 = bits.Add64(x87, x102, uint64(fiatScalarUint1(x110))) |
| var x113 uint64 |
| _, x113 = bits.Mul64(x103, 0xd2b51da312547e1b) |
| var x115 uint64 |
| var x116 uint64 |
| x116, x115 = bits.Mul64(x113, 0x1000000000000000) |
| var x117 uint64 |
| var x118 uint64 |
| x118, x117 = bits.Mul64(x113, 0x14def9dea2f79cd6) |
| var x119 uint64 |
| var x120 uint64 |
| x120, x119 = bits.Mul64(x113, 0x5812631a5cf5d3ed) |
| var x121 uint64 |
| var x122 uint64 |
| x121, x122 = bits.Add64(x120, x117, uint64(0x0)) |
| x123 := (uint64(fiatScalarUint1(x122)) + x118) |
| var x125 uint64 |
| _, x125 = bits.Add64(x103, x119, uint64(0x0)) |
| var x126 uint64 |
| var x127 uint64 |
| x126, x127 = bits.Add64(x105, x121, uint64(fiatScalarUint1(x125))) |
| var x128 uint64 |
| var x129 uint64 |
| x128, x129 = bits.Add64(x107, x123, uint64(fiatScalarUint1(x127))) |
| var x130 uint64 |
| var x131 uint64 |
| x130, x131 = bits.Add64(x109, x115, uint64(fiatScalarUint1(x129))) |
| var x132 uint64 |
| var x133 uint64 |
| x132, x133 = bits.Add64(x111, x116, uint64(fiatScalarUint1(x131))) |
| x134 := (uint64(fiatScalarUint1(x133)) + uint64(fiatScalarUint1(x112))) |
| var x135 uint64 |
| var x136 uint64 |
| x136, x135 = bits.Mul64(x3, arg2[3]) |
| var x137 uint64 |
| var x138 uint64 |
| x138, x137 = bits.Mul64(x3, arg2[2]) |
| var x139 uint64 |
| var x140 uint64 |
| x140, x139 = bits.Mul64(x3, arg2[1]) |
| var x141 uint64 |
| var x142 uint64 |
| x142, x141 = bits.Mul64(x3, arg2[0]) |
| var x143 uint64 |
| var x144 uint64 |
| x143, x144 = bits.Add64(x142, x139, uint64(0x0)) |
| var x145 uint64 |
| var x146 uint64 |
| x145, x146 = bits.Add64(x140, x137, uint64(fiatScalarUint1(x144))) |
| var x147 uint64 |
| var x148 uint64 |
| x147, x148 = bits.Add64(x138, x135, uint64(fiatScalarUint1(x146))) |
| x149 := (uint64(fiatScalarUint1(x148)) + x136) |
| var x150 uint64 |
| var x151 uint64 |
| x150, x151 = bits.Add64(x126, x141, uint64(0x0)) |
| var x152 uint64 |
| var x153 uint64 |
| x152, x153 = bits.Add64(x128, x143, uint64(fiatScalarUint1(x151))) |
| var x154 uint64 |
| var x155 uint64 |
| x154, x155 = bits.Add64(x130, x145, uint64(fiatScalarUint1(x153))) |
| var x156 uint64 |
| var x157 uint64 |
| x156, x157 = bits.Add64(x132, x147, uint64(fiatScalarUint1(x155))) |
| var x158 uint64 |
| var x159 uint64 |
| x158, x159 = bits.Add64(x134, x149, uint64(fiatScalarUint1(x157))) |
| var x160 uint64 |
| _, x160 = bits.Mul64(x150, 0xd2b51da312547e1b) |
| var x162 uint64 |
| var x163 uint64 |
| x163, x162 = bits.Mul64(x160, 0x1000000000000000) |
| var x164 uint64 |
| var x165 uint64 |
| x165, x164 = bits.Mul64(x160, 0x14def9dea2f79cd6) |
| var x166 uint64 |
| var x167 uint64 |
| x167, x166 = bits.Mul64(x160, 0x5812631a5cf5d3ed) |
| var x168 uint64 |
| var x169 uint64 |
| x168, x169 = bits.Add64(x167, x164, uint64(0x0)) |
| x170 := (uint64(fiatScalarUint1(x169)) + x165) |
| var x172 uint64 |
| _, x172 = bits.Add64(x150, x166, uint64(0x0)) |
| var x173 uint64 |
| var x174 uint64 |
| x173, x174 = bits.Add64(x152, x168, uint64(fiatScalarUint1(x172))) |
| var x175 uint64 |
| var x176 uint64 |
| x175, x176 = bits.Add64(x154, x170, uint64(fiatScalarUint1(x174))) |
| var x177 uint64 |
| var x178 uint64 |
| x177, x178 = bits.Add64(x156, x162, uint64(fiatScalarUint1(x176))) |
| var x179 uint64 |
| var x180 uint64 |
| x179, x180 = bits.Add64(x158, x163, uint64(fiatScalarUint1(x178))) |
| x181 := (uint64(fiatScalarUint1(x180)) + uint64(fiatScalarUint1(x159))) |
| var x182 uint64 |
| var x183 uint64 |
| x182, x183 = bits.Sub64(x173, 0x5812631a5cf5d3ed, uint64(0x0)) |
| var x184 uint64 |
| var x185 uint64 |
| x184, x185 = bits.Sub64(x175, 0x14def9dea2f79cd6, uint64(fiatScalarUint1(x183))) |
| var x186 uint64 |
| var x187 uint64 |
| x186, x187 = bits.Sub64(x177, uint64(0x0), uint64(fiatScalarUint1(x185))) |
| var x188 uint64 |
| var x189 uint64 |
| x188, x189 = bits.Sub64(x179, 0x1000000000000000, uint64(fiatScalarUint1(x187))) |
| var x191 uint64 |
| _, x191 = bits.Sub64(x181, uint64(0x0), uint64(fiatScalarUint1(x189))) |
| var x192 uint64 |
| fiatScalarCmovznzU64(&x192, fiatScalarUint1(x191), x182, x173) |
| var x193 uint64 |
| fiatScalarCmovznzU64(&x193, fiatScalarUint1(x191), x184, x175) |
| var x194 uint64 |
| fiatScalarCmovznzU64(&x194, fiatScalarUint1(x191), x186, x177) |
| var x195 uint64 |
| fiatScalarCmovznzU64(&x195, fiatScalarUint1(x191), x188, x179) |
| out1[0] = x192 |
| out1[1] = x193 |
| out1[2] = x194 |
| out1[3] = x195 |
| } |
| |
| // fiatScalarAdd adds 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 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 |
| } |