// Code generated by Fiat Cryptography. DO NOT EDIT. // // Autogenerated: word_by_word_montgomery --lang Go --no-wide-int --cmovznz-by-mul --relax-primitive-carry-to-bitwidth 32,64 --internal-static --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 fiat --no-prefix-fiat sm2p256scalar 64 '2^256 - 2^224 - 188730267045675049073202170516080344797' mul square add sub one from_montgomery to_montgomery selectznz to_bytes from_bytes nonzero opp msat divstep divstep_precomp // // curve description: sm2p256scalar // // machine_wordsize = 64 (from "64") // // requested operations: mul, square, add, sub, one, from_montgomery, to_montgomery, selectznz, to_bytes, from_bytes, nonzero, opp, msat, divstep, divstep_precomp // // m = 0xfffffffeffffffffffffffffffffffff7203df6b21c6052b53bbf40939d54123 (from "2^256 - 2^224 - 188730267045675049073202170516080344797") // // // // 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 fiat import "math/bits" type sm2p256scalarUint1 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 sm2p256scalarInt1 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 sm2p256scalarMontgomeryDomainFieldElement is a field element in the Montgomery domain. // // Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] type sm2p256scalarMontgomeryDomainFieldElement [4]uint64 // The type sm2p256scalarNonMontgomeryDomainFieldElement is a field element NOT in the Montgomery domain. // // Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] type sm2p256scalarNonMontgomeryDomainFieldElement [4]uint64 // sm2p256scalarCmovznzU64 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 sm2p256scalarCmovznzU64(out1 *uint64, arg1 sm2p256scalarUint1, arg2 uint64, arg3 uint64) { x1 := (uint64(arg1) * 0xffffffffffffffff) x2 := ((x1 & arg3) | ((^x1) & arg2)) *out1 = x2 } // sm2p256scalarMul 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 sm2p256scalarMul(out1 *sm2p256scalarMontgomeryDomainFieldElement, arg1 *sm2p256scalarMontgomeryDomainFieldElement, arg2 *sm2p256scalarMontgomeryDomainFieldElement) { 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(sm2p256scalarUint1(x14))) var x17 uint64 var x18 uint64 x17, x18 = bits.Add64(x8, x5, uint64(sm2p256scalarUint1(x16))) x19 := (uint64(sm2p256scalarUint1(x18)) + x6) var x20 uint64 _, x20 = bits.Mul64(x11, 0x327f9e8872350975) var x22 uint64 var x23 uint64 x23, x22 = bits.Mul64(x20, 0xfffffffeffffffff) var x24 uint64 var x25 uint64 x25, x24 = bits.Mul64(x20, 0xffffffffffffffff) var x26 uint64 var x27 uint64 x27, x26 = bits.Mul64(x20, 0x7203df6b21c6052b) var x28 uint64 var x29 uint64 x29, x28 = bits.Mul64(x20, 0x53bbf40939d54123) var x30 uint64 var x31 uint64 x30, x31 = bits.Add64(x29, x26, uint64(0x0)) var x32 uint64 var x33 uint64 x32, x33 = bits.Add64(x27, x24, uint64(sm2p256scalarUint1(x31))) var x34 uint64 var x35 uint64 x34, x35 = bits.Add64(x25, x22, uint64(sm2p256scalarUint1(x33))) x36 := (uint64(sm2p256scalarUint1(x35)) + x23) var x38 uint64 _, x38 = bits.Add64(x11, x28, uint64(0x0)) var x39 uint64 var x40 uint64 x39, x40 = bits.Add64(x13, x30, uint64(sm2p256scalarUint1(x38))) var x41 uint64 var x42 uint64 x41, x42 = bits.Add64(x15, x32, uint64(sm2p256scalarUint1(x40))) var x43 uint64 var x44 uint64 x43, x44 = bits.Add64(x17, x34, uint64(sm2p256scalarUint1(x42))) var x45 uint64 var x46 uint64 x45, x46 = bits.Add64(x19, x36, uint64(sm2p256scalarUint1(x44))) var x47 uint64 var x48 uint64 x48, x47 = bits.Mul64(x1, arg2[3]) var x49 uint64 var x50 uint64 x50, x49 = bits.Mul64(x1, arg2[2]) var x51 uint64 var x52 uint64 x52, x51 = bits.Mul64(x1, arg2[1]) var x53 uint64 var x54 uint64 x54, x53 = bits.Mul64(x1, arg2[0]) var x55 uint64 var x56 uint64 x55, x56 = bits.Add64(x54, x51, uint64(0x0)) var x57 uint64 var x58 uint64 x57, x58 = bits.Add64(x52, x49, uint64(sm2p256scalarUint1(x56))) var x59 uint64 var x60 uint64 x59, x60 = bits.Add64(x50, x47, uint64(sm2p256scalarUint1(x58))) x61 := (uint64(sm2p256scalarUint1(x60)) + x48) var x62 uint64 var x63 uint64 x62, x63 = bits.Add64(x39, x53, uint64(0x0)) var x64 uint64 var x65 uint64 x64, x65 = bits.Add64(x41, x55, uint64(sm2p256scalarUint1(x63))) var x66 uint64 var x67 uint64 x66, x67 = bits.Add64(x43, x57, uint64(sm2p256scalarUint1(x65))) var x68 uint64 var x69 uint64 x68, x69 = bits.Add64(x45, x59, uint64(sm2p256scalarUint1(x67))) var x70 uint64 var x71 uint64 x70, x71 = bits.Add64(uint64(sm2p256scalarUint1(x46)), x61, uint64(sm2p256scalarUint1(x69))) var x72 uint64 _, x72 = bits.Mul64(x62, 0x327f9e8872350975) var x74 uint64 var x75 uint64 x75, x74 = bits.Mul64(x72, 0xfffffffeffffffff) var x76 uint64 var x77 uint64 x77, x76 = bits.Mul64(x72, 0xffffffffffffffff) var x78 uint64 var x79 uint64 x79, x78 = bits.Mul64(x72, 0x7203df6b21c6052b) var x80 uint64 var x81 uint64 x81, x80 = bits.Mul64(x72, 0x53bbf40939d54123) var x82 uint64 var x83 uint64 x82, x83 = bits.Add64(x81, x78, uint64(0x0)) var x84 uint64 var x85 uint64 x84, x85 = bits.Add64(x79, x76, uint64(sm2p256scalarUint1(x83))) var x86 uint64 var x87 uint64 x86, x87 = bits.Add64(x77, x74, uint64(sm2p256scalarUint1(x85))) x88 := (uint64(sm2p256scalarUint1(x87)) + x75) var x90 uint64 _, x90 = bits.Add64(x62, x80, uint64(0x0)) var x91 uint64 var x92 uint64 x91, x92 = bits.Add64(x64, x82, uint64(sm2p256scalarUint1(x90))) var x93 uint64 var x94 uint64 x93, x94 = bits.Add64(x66, x84, uint64(sm2p256scalarUint1(x92))) var x95 uint64 var x96 uint64 x95, x96 = bits.Add64(x68, x86, uint64(sm2p256scalarUint1(x94))) var x97 uint64 var x98 uint64 x97, x98 = bits.Add64(x70, x88, uint64(sm2p256scalarUint1(x96))) x99 := (uint64(sm2p256scalarUint1(x98)) + uint64(sm2p256scalarUint1(x71))) var x100 uint64 var x101 uint64 x101, x100 = bits.Mul64(x2, arg2[3]) var x102 uint64 var x103 uint64 x103, x102 = bits.Mul64(x2, arg2[2]) var x104 uint64 var x105 uint64 x105, x104 = bits.Mul64(x2, arg2[1]) var x106 uint64 var x107 uint64 x107, x106 = bits.Mul64(x2, arg2[0]) var x108 uint64 var x109 uint64 x108, x109 = bits.Add64(x107, x104, uint64(0x0)) var x110 uint64 var x111 uint64 x110, x111 = bits.Add64(x105, x102, uint64(sm2p256scalarUint1(x109))) var x112 uint64 var x113 uint64 x112, x113 = bits.Add64(x103, x100, uint64(sm2p256scalarUint1(x111))) x114 := (uint64(sm2p256scalarUint1(x113)) + x101) var x115 uint64 var x116 uint64 x115, x116 = bits.Add64(x91, x106, uint64(0x0)) var x117 uint64 var x118 uint64 x117, x118 = bits.Add64(x93, x108, uint64(sm2p256scalarUint1(x116))) var x119 uint64 var x120 uint64 x119, x120 = bits.Add64(x95, x110, uint64(sm2p256scalarUint1(x118))) var x121 uint64 var x122 uint64 x121, x122 = bits.Add64(x97, x112, uint64(sm2p256scalarUint1(x120))) var x123 uint64 var x124 uint64 x123, x124 = bits.Add64(x99, x114, uint64(sm2p256scalarUint1(x122))) var x125 uint64 _, x125 = bits.Mul64(x115, 0x327f9e8872350975) var x127 uint64 var x128 uint64 x128, x127 = bits.Mul64(x125, 0xfffffffeffffffff) var x129 uint64 var x130 uint64 x130, x129 = bits.Mul64(x125, 0xffffffffffffffff) var x131 uint64 var x132 uint64 x132, x131 = bits.Mul64(x125, 0x7203df6b21c6052b) var x133 uint64 var x134 uint64 x134, x133 = bits.Mul64(x125, 0x53bbf40939d54123) var x135 uint64 var x136 uint64 x135, x136 = bits.Add64(x134, x131, uint64(0x0)) var x137 uint64 var x138 uint64 x137, x138 = bits.Add64(x132, x129, uint64(sm2p256scalarUint1(x136))) var x139 uint64 var x140 uint64 x139, x140 = bits.Add64(x130, x127, uint64(sm2p256scalarUint1(x138))) x141 := (uint64(sm2p256scalarUint1(x140)) + x128) var x143 uint64 _, x143 = bits.Add64(x115, x133, uint64(0x0)) var x144 uint64 var x145 uint64 x144, x145 = bits.Add64(x117, x135, uint64(sm2p256scalarUint1(x143))) var x146 uint64 var x147 uint64 x146, x147 = bits.Add64(x119, x137, uint64(sm2p256scalarUint1(x145))) var x148 uint64 var x149 uint64 x148, x149 = bits.Add64(x121, x139, uint64(sm2p256scalarUint1(x147))) var x150 uint64 var x151 uint64 x150, x151 = bits.Add64(x123, x141, uint64(sm2p256scalarUint1(x149))) x152 := (uint64(sm2p256scalarUint1(x151)) + uint64(sm2p256scalarUint1(x124))) var x153 uint64 var x154 uint64 x154, x153 = bits.Mul64(x3, arg2[3]) var x155 uint64 var x156 uint64 x156, x155 = bits.Mul64(x3, arg2[2]) var x157 uint64 var x158 uint64 x158, x157 = bits.Mul64(x3, arg2[1]) var x159 uint64 var x160 uint64 x160, x159 = bits.Mul64(x3, arg2[0]) var x161 uint64 var x162 uint64 x161, x162 = bits.Add64(x160, x157, uint64(0x0)) var x163 uint64 var x164 uint64 x163, x164 = bits.Add64(x158, x155, uint64(sm2p256scalarUint1(x162))) var x165 uint64 var x166 uint64 x165, x166 = bits.Add64(x156, x153, uint64(sm2p256scalarUint1(x164))) x167 := (uint64(sm2p256scalarUint1(x166)) + x154) var x168 uint64 var x169 uint64 x168, x169 = bits.Add64(x144, x159, uint64(0x0)) var x170 uint64 var x171 uint64 x170, x171 = bits.Add64(x146, x161, uint64(sm2p256scalarUint1(x169))) var x172 uint64 var x173 uint64 x172, x173 = bits.Add64(x148, x163, uint64(sm2p256scalarUint1(x171))) var x174 uint64 var x175 uint64 x174, x175 = bits.Add64(x150, x165, uint64(sm2p256scalarUint1(x173))) var x176 uint64 var x177 uint64 x176, x177 = bits.Add64(x152, x167, uint64(sm2p256scalarUint1(x175))) var x178 uint64 _, x178 = bits.Mul64(x168, 0x327f9e8872350975) var x180 uint64 var x181 uint64 x181, x180 = bits.Mul64(x178, 0xfffffffeffffffff) var x182 uint64 var x183 uint64 x183, x182 = bits.Mul64(x178, 0xffffffffffffffff) var x184 uint64 var x185 uint64 x185, x184 = bits.Mul64(x178, 0x7203df6b21c6052b) var x186 uint64 var x187 uint64 x187, x186 = bits.Mul64(x178, 0x53bbf40939d54123) var x188 uint64 var x189 uint64 x188, x189 = bits.Add64(x187, x184, uint64(0x0)) var x190 uint64 var x191 uint64 x190, x191 = bits.Add64(x185, x182, uint64(sm2p256scalarUint1(x189))) var x192 uint64 var x193 uint64 x192, x193 = bits.Add64(x183, x180, uint64(sm2p256scalarUint1(x191))) x194 := (uint64(sm2p256scalarUint1(x193)) + x181) var x196 uint64 _, x196 = bits.Add64(x168, x186, uint64(0x0)) var x197 uint64 var x198 uint64 x197, x198 = bits.Add64(x170, x188, uint64(sm2p256scalarUint1(x196))) var x199 uint64 var x200 uint64 x199, x200 = bits.Add64(x172, x190, uint64(sm2p256scalarUint1(x198))) var x201 uint64 var x202 uint64 x201, x202 = bits.Add64(x174, x192, uint64(sm2p256scalarUint1(x200))) var x203 uint64 var x204 uint64 x203, x204 = bits.Add64(x176, x194, uint64(sm2p256scalarUint1(x202))) x205 := (uint64(sm2p256scalarUint1(x204)) + uint64(sm2p256scalarUint1(x177))) var x206 uint64 var x207 uint64 x206, x207 = bits.Sub64(x197, 0x53bbf40939d54123, uint64(0x0)) var x208 uint64 var x209 uint64 x208, x209 = bits.Sub64(x199, 0x7203df6b21c6052b, uint64(sm2p256scalarUint1(x207))) var x210 uint64 var x211 uint64 x210, x211 = bits.Sub64(x201, 0xffffffffffffffff, uint64(sm2p256scalarUint1(x209))) var x212 uint64 var x213 uint64 x212, x213 = bits.Sub64(x203, 0xfffffffeffffffff, uint64(sm2p256scalarUint1(x211))) var x215 uint64 _, x215 = bits.Sub64(x205, uint64(0x0), uint64(sm2p256scalarUint1(x213))) var x216 uint64 sm2p256scalarCmovznzU64(&x216, sm2p256scalarUint1(x215), x206, x197) var x217 uint64 sm2p256scalarCmovznzU64(&x217, sm2p256scalarUint1(x215), x208, x199) var x218 uint64 sm2p256scalarCmovznzU64(&x218, sm2p256scalarUint1(x215), x210, x201) var x219 uint64 sm2p256scalarCmovznzU64(&x219, sm2p256scalarUint1(x215), x212, x203) out1[0] = x216 out1[1] = x217 out1[2] = x218 out1[3] = x219 } // sm2p256scalarSquare squares a field element in the Montgomery domain. // // Preconditions: // 0 ≤ eval arg1 < m // Postconditions: // eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg1)) mod m // 0 ≤ eval out1 < m // func sm2p256scalarSquare(out1 *sm2p256scalarMontgomeryDomainFieldElement, arg1 *sm2p256scalarMontgomeryDomainFieldElement) { x1 := arg1[1] x2 := arg1[2] x3 := arg1[3] x4 := arg1[0] var x5 uint64 var x6 uint64 x6, x5 = bits.Mul64(x4, arg1[3]) var x7 uint64 var x8 uint64 x8, x7 = bits.Mul64(x4, arg1[2]) var x9 uint64 var x10 uint64 x10, x9 = bits.Mul64(x4, arg1[1]) var x11 uint64 var x12 uint64 x12, x11 = bits.Mul64(x4, arg1[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(sm2p256scalarUint1(x14))) var x17 uint64 var x18 uint64 x17, x18 = bits.Add64(x8, x5, uint64(sm2p256scalarUint1(x16))) x19 := (uint64(sm2p256scalarUint1(x18)) + x6) var x20 uint64 _, x20 = bits.Mul64(x11, 0x327f9e8872350975) var x22 uint64 var x23 uint64 x23, x22 = bits.Mul64(x20, 0xfffffffeffffffff) var x24 uint64 var x25 uint64 x25, x24 = bits.Mul64(x20, 0xffffffffffffffff) var x26 uint64 var x27 uint64 x27, x26 = bits.Mul64(x20, 0x7203df6b21c6052b) var x28 uint64 var x29 uint64 x29, x28 = bits.Mul64(x20, 0x53bbf40939d54123) var x30 uint64 var x31 uint64 x30, x31 = bits.Add64(x29, x26, uint64(0x0)) var x32 uint64 var x33 uint64 x32, x33 = bits.Add64(x27, x24, uint64(sm2p256scalarUint1(x31))) var x34 uint64 var x35 uint64 x34, x35 = bits.Add64(x25, x22, uint64(sm2p256scalarUint1(x33))) x36 := (uint64(sm2p256scalarUint1(x35)) + x23) var x38 uint64 _, x38 = bits.Add64(x11, x28, uint64(0x0)) var x39 uint64 var x40 uint64 x39, x40 = bits.Add64(x13, x30, uint64(sm2p256scalarUint1(x38))) var x41 uint64 var x42 uint64 x41, x42 = bits.Add64(x15, x32, uint64(sm2p256scalarUint1(x40))) var x43 uint64 var x44 uint64 x43, x44 = bits.Add64(x17, x34, uint64(sm2p256scalarUint1(x42))) var x45 uint64 var x46 uint64 x45, x46 = bits.Add64(x19, x36, uint64(sm2p256scalarUint1(x44))) var x47 uint64 var x48 uint64 x48, x47 = bits.Mul64(x1, arg1[3]) var x49 uint64 var x50 uint64 x50, x49 = bits.Mul64(x1, arg1[2]) var x51 uint64 var x52 uint64 x52, x51 = bits.Mul64(x1, arg1[1]) var x53 uint64 var x54 uint64 x54, x53 = bits.Mul64(x1, arg1[0]) var x55 uint64 var x56 uint64 x55, x56 = bits.Add64(x54, x51, uint64(0x0)) var x57 uint64 var x58 uint64 x57, x58 = bits.Add64(x52, x49, uint64(sm2p256scalarUint1(x56))) var x59 uint64 var x60 uint64 x59, x60 = bits.Add64(x50, x47, uint64(sm2p256scalarUint1(x58))) x61 := (uint64(sm2p256scalarUint1(x60)) + x48) var x62 uint64 var x63 uint64 x62, x63 = bits.Add64(x39, x53, uint64(0x0)) var x64 uint64 var x65 uint64 x64, x65 = bits.Add64(x41, x55, uint64(sm2p256scalarUint1(x63))) var x66 uint64 var x67 uint64 x66, x67 = bits.Add64(x43, x57, uint64(sm2p256scalarUint1(x65))) var x68 uint64 var x69 uint64 x68, x69 = bits.Add64(x45, x59, uint64(sm2p256scalarUint1(x67))) var x70 uint64 var x71 uint64 x70, x71 = bits.Add64(uint64(sm2p256scalarUint1(x46)), x61, uint64(sm2p256scalarUint1(x69))) var x72 uint64 _, x72 = bits.Mul64(x62, 0x327f9e8872350975) var x74 uint64 var x75 uint64 x75, x74 = bits.Mul64(x72, 0xfffffffeffffffff) var x76 uint64 var x77 uint64 x77, x76 = bits.Mul64(x72, 0xffffffffffffffff) var x78 uint64 var x79 uint64 x79, x78 = bits.Mul64(x72, 0x7203df6b21c6052b) var x80 uint64 var x81 uint64 x81, x80 = bits.Mul64(x72, 0x53bbf40939d54123) var x82 uint64 var x83 uint64 x82, x83 = bits.Add64(x81, x78, uint64(0x0)) var x84 uint64 var x85 uint64 x84, x85 = bits.Add64(x79, x76, uint64(sm2p256scalarUint1(x83))) var x86 uint64 var x87 uint64 x86, x87 = bits.Add64(x77, x74, uint64(sm2p256scalarUint1(x85))) x88 := (uint64(sm2p256scalarUint1(x87)) + x75) var x90 uint64 _, x90 = bits.Add64(x62, x80, uint64(0x0)) var x91 uint64 var x92 uint64 x91, x92 = bits.Add64(x64, x82, uint64(sm2p256scalarUint1(x90))) var x93 uint64 var x94 uint64 x93, x94 = bits.Add64(x66, x84, uint64(sm2p256scalarUint1(x92))) var x95 uint64 var x96 uint64 x95, x96 = bits.Add64(x68, x86, uint64(sm2p256scalarUint1(x94))) var x97 uint64 var x98 uint64 x97, x98 = bits.Add64(x70, x88, uint64(sm2p256scalarUint1(x96))) x99 := (uint64(sm2p256scalarUint1(x98)) + uint64(sm2p256scalarUint1(x71))) var x100 uint64 var x101 uint64 x101, x100 = bits.Mul64(x2, arg1[3]) var x102 uint64 var x103 uint64 x103, x102 = bits.Mul64(x2, arg1[2]) var x104 uint64 var x105 uint64 x105, x104 = bits.Mul64(x2, arg1[1]) var x106 uint64 var x107 uint64 x107, x106 = bits.Mul64(x2, arg1[0]) var x108 uint64 var x109 uint64 x108, x109 = bits.Add64(x107, x104, uint64(0x0)) var x110 uint64 var x111 uint64 x110, x111 = bits.Add64(x105, x102, uint64(sm2p256scalarUint1(x109))) var x112 uint64 var x113 uint64 x112, x113 = bits.Add64(x103, x100, uint64(sm2p256scalarUint1(x111))) x114 := (uint64(sm2p256scalarUint1(x113)) + x101) var x115 uint64 var x116 uint64 x115, x116 = bits.Add64(x91, x106, uint64(0x0)) var x117 uint64 var x118 uint64 x117, x118 = bits.Add64(x93, x108, uint64(sm2p256scalarUint1(x116))) var x119 uint64 var x120 uint64 x119, x120 = bits.Add64(x95, x110, uint64(sm2p256scalarUint1(x118))) var x121 uint64 var x122 uint64 x121, x122 = bits.Add64(x97, x112, uint64(sm2p256scalarUint1(x120))) var x123 uint64 var x124 uint64 x123, x124 = bits.Add64(x99, x114, uint64(sm2p256scalarUint1(x122))) var x125 uint64 _, x125 = bits.Mul64(x115, 0x327f9e8872350975) var x127 uint64 var x128 uint64 x128, x127 = bits.Mul64(x125, 0xfffffffeffffffff) var x129 uint64 var x130 uint64 x130, x129 = bits.Mul64(x125, 0xffffffffffffffff) var x131 uint64 var x132 uint64 x132, x131 = bits.Mul64(x125, 0x7203df6b21c6052b) var x133 uint64 var x134 uint64 x134, x133 = bits.Mul64(x125, 0x53bbf40939d54123) var x135 uint64 var x136 uint64 x135, x136 = bits.Add64(x134, x131, uint64(0x0)) var x137 uint64 var x138 uint64 x137, x138 = bits.Add64(x132, x129, uint64(sm2p256scalarUint1(x136))) var x139 uint64 var x140 uint64 x139, x140 = bits.Add64(x130, x127, uint64(sm2p256scalarUint1(x138))) x141 := (uint64(sm2p256scalarUint1(x140)) + x128) var x143 uint64 _, x143 = bits.Add64(x115, x133, uint64(0x0)) var x144 uint64 var x145 uint64 x144, x145 = bits.Add64(x117, x135, uint64(sm2p256scalarUint1(x143))) var x146 uint64 var x147 uint64 x146, x147 = bits.Add64(x119, x137, uint64(sm2p256scalarUint1(x145))) var x148 uint64 var x149 uint64 x148, x149 = bits.Add64(x121, x139, uint64(sm2p256scalarUint1(x147))) var x150 uint64 var x151 uint64 x150, x151 = bits.Add64(x123, x141, uint64(sm2p256scalarUint1(x149))) x152 := (uint64(sm2p256scalarUint1(x151)) + uint64(sm2p256scalarUint1(x124))) var x153 uint64 var x154 uint64 x154, x153 = bits.Mul64(x3, arg1[3]) var x155 uint64 var x156 uint64 x156, x155 = bits.Mul64(x3, arg1[2]) var x157 uint64 var x158 uint64 x158, x157 = bits.Mul64(x3, arg1[1]) var x159 uint64 var x160 uint64 x160, x159 = bits.Mul64(x3, arg1[0]) var x161 uint64 var x162 uint64 x161, x162 = bits.Add64(x160, x157, uint64(0x0)) var x163 uint64 var x164 uint64 x163, x164 = bits.Add64(x158, x155, uint64(sm2p256scalarUint1(x162))) var x165 uint64 var x166 uint64 x165, x166 = bits.Add64(x156, x153, uint64(sm2p256scalarUint1(x164))) x167 := (uint64(sm2p256scalarUint1(x166)) + x154) var x168 uint64 var x169 uint64 x168, x169 = bits.Add64(x144, x159, uint64(0x0)) var x170 uint64 var x171 uint64 x170, x171 = bits.Add64(x146, x161, uint64(sm2p256scalarUint1(x169))) var x172 uint64 var x173 uint64 x172, x173 = bits.Add64(x148, x163, uint64(sm2p256scalarUint1(x171))) var x174 uint64 var x175 uint64 x174, x175 = bits.Add64(x150, x165, uint64(sm2p256scalarUint1(x173))) var x176 uint64 var x177 uint64 x176, x177 = bits.Add64(x152, x167, uint64(sm2p256scalarUint1(x175))) var x178 uint64 _, x178 = bits.Mul64(x168, 0x327f9e8872350975) var x180 uint64 var x181 uint64 x181, x180 = bits.Mul64(x178, 0xfffffffeffffffff) var x182 uint64 var x183 uint64 x183, x182 = bits.Mul64(x178, 0xffffffffffffffff) var x184 uint64 var x185 uint64 x185, x184 = bits.Mul64(x178, 0x7203df6b21c6052b) var x186 uint64 var x187 uint64 x187, x186 = bits.Mul64(x178, 0x53bbf40939d54123) var x188 uint64 var x189 uint64 x188, x189 = bits.Add64(x187, x184, uint64(0x0)) var x190 uint64 var x191 uint64 x190, x191 = bits.Add64(x185, x182, uint64(sm2p256scalarUint1(x189))) var x192 uint64 var x193 uint64 x192, x193 = bits.Add64(x183, x180, uint64(sm2p256scalarUint1(x191))) x194 := (uint64(sm2p256scalarUint1(x193)) + x181) var x196 uint64 _, x196 = bits.Add64(x168, x186, uint64(0x0)) var x197 uint64 var x198 uint64 x197, x198 = bits.Add64(x170, x188, uint64(sm2p256scalarUint1(x196))) var x199 uint64 var x200 uint64 x199, x200 = bits.Add64(x172, x190, uint64(sm2p256scalarUint1(x198))) var x201 uint64 var x202 uint64 x201, x202 = bits.Add64(x174, x192, uint64(sm2p256scalarUint1(x200))) var x203 uint64 var x204 uint64 x203, x204 = bits.Add64(x176, x194, uint64(sm2p256scalarUint1(x202))) x205 := (uint64(sm2p256scalarUint1(x204)) + uint64(sm2p256scalarUint1(x177))) var x206 uint64 var x207 uint64 x206, x207 = bits.Sub64(x197, 0x53bbf40939d54123, uint64(0x0)) var x208 uint64 var x209 uint64 x208, x209 = bits.Sub64(x199, 0x7203df6b21c6052b, uint64(sm2p256scalarUint1(x207))) var x210 uint64 var x211 uint64 x210, x211 = bits.Sub64(x201, 0xffffffffffffffff, uint64(sm2p256scalarUint1(x209))) var x212 uint64 var x213 uint64 x212, x213 = bits.Sub64(x203, 0xfffffffeffffffff, uint64(sm2p256scalarUint1(x211))) var x215 uint64 _, x215 = bits.Sub64(x205, uint64(0x0), uint64(sm2p256scalarUint1(x213))) var x216 uint64 sm2p256scalarCmovznzU64(&x216, sm2p256scalarUint1(x215), x206, x197) var x217 uint64 sm2p256scalarCmovznzU64(&x217, sm2p256scalarUint1(x215), x208, x199) var x218 uint64 sm2p256scalarCmovznzU64(&x218, sm2p256scalarUint1(x215), x210, x201) var x219 uint64 sm2p256scalarCmovznzU64(&x219, sm2p256scalarUint1(x215), x212, x203) out1[0] = x216 out1[1] = x217 out1[2] = x218 out1[3] = x219 } // sm2p256scalarAdd 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 sm2p256scalarAdd(out1 *sm2p256scalarMontgomeryDomainFieldElement, arg1 *sm2p256scalarMontgomeryDomainFieldElement, arg2 *sm2p256scalarMontgomeryDomainFieldElement) { 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(sm2p256scalarUint1(x2))) var x5 uint64 var x6 uint64 x5, x6 = bits.Add64(arg1[2], arg2[2], uint64(sm2p256scalarUint1(x4))) var x7 uint64 var x8 uint64 x7, x8 = bits.Add64(arg1[3], arg2[3], uint64(sm2p256scalarUint1(x6))) var x9 uint64 var x10 uint64 x9, x10 = bits.Sub64(x1, 0x53bbf40939d54123, uint64(0x0)) var x11 uint64 var x12 uint64 x11, x12 = bits.Sub64(x3, 0x7203df6b21c6052b, uint64(sm2p256scalarUint1(x10))) var x13 uint64 var x14 uint64 x13, x14 = bits.Sub64(x5, 0xffffffffffffffff, uint64(sm2p256scalarUint1(x12))) var x15 uint64 var x16 uint64 x15, x16 = bits.Sub64(x7, 0xfffffffeffffffff, uint64(sm2p256scalarUint1(x14))) var x18 uint64 _, x18 = bits.Sub64(uint64(sm2p256scalarUint1(x8)), uint64(0x0), uint64(sm2p256scalarUint1(x16))) var x19 uint64 sm2p256scalarCmovznzU64(&x19, sm2p256scalarUint1(x18), x9, x1) var x20 uint64 sm2p256scalarCmovznzU64(&x20, sm2p256scalarUint1(x18), x11, x3) var x21 uint64 sm2p256scalarCmovznzU64(&x21, sm2p256scalarUint1(x18), x13, x5) var x22 uint64 sm2p256scalarCmovznzU64(&x22, sm2p256scalarUint1(x18), x15, x7) out1[0] = x19 out1[1] = x20 out1[2] = x21 out1[3] = x22 } // sm2p256scalarSub 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 sm2p256scalarSub(out1 *sm2p256scalarMontgomeryDomainFieldElement, arg1 *sm2p256scalarMontgomeryDomainFieldElement, arg2 *sm2p256scalarMontgomeryDomainFieldElement) { 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(sm2p256scalarUint1(x2))) var x5 uint64 var x6 uint64 x5, x6 = bits.Sub64(arg1[2], arg2[2], uint64(sm2p256scalarUint1(x4))) var x7 uint64 var x8 uint64 x7, x8 = bits.Sub64(arg1[3], arg2[3], uint64(sm2p256scalarUint1(x6))) var x9 uint64 sm2p256scalarCmovznzU64(&x9, sm2p256scalarUint1(x8), uint64(0x0), 0xffffffffffffffff) var x10 uint64 var x11 uint64 x10, x11 = bits.Add64(x1, (x9 & 0x53bbf40939d54123), uint64(0x0)) var x12 uint64 var x13 uint64 x12, x13 = bits.Add64(x3, (x9 & 0x7203df6b21c6052b), uint64(sm2p256scalarUint1(x11))) var x14 uint64 var x15 uint64 x14, x15 = bits.Add64(x5, x9, uint64(sm2p256scalarUint1(x13))) var x16 uint64 x16, _ = bits.Add64(x7, (x9 & 0xfffffffeffffffff), uint64(sm2p256scalarUint1(x15))) out1[0] = x10 out1[1] = x12 out1[2] = x14 out1[3] = x16 } // sm2p256scalarSetOne returns the field element one in the Montgomery domain. // // Postconditions: // eval (from_montgomery out1) mod m = 1 mod m // 0 ≤ eval out1 < m // func sm2p256scalarSetOne(out1 *sm2p256scalarMontgomeryDomainFieldElement) { out1[0] = 0xac440bf6c62abedd out1[1] = 0x8dfc2094de39fad4 out1[2] = uint64(0x0) out1[3] = 0x100000000 } // sm2p256scalarFromMontgomery 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 sm2p256scalarFromMontgomery(out1 *sm2p256scalarNonMontgomeryDomainFieldElement, arg1 *sm2p256scalarMontgomeryDomainFieldElement) { x1 := arg1[0] var x2 uint64 _, x2 = bits.Mul64(x1, 0x327f9e8872350975) var x4 uint64 var x5 uint64 x5, x4 = bits.Mul64(x2, 0xfffffffeffffffff) var x6 uint64 var x7 uint64 x7, x6 = bits.Mul64(x2, 0xffffffffffffffff) var x8 uint64 var x9 uint64 x9, x8 = bits.Mul64(x2, 0x7203df6b21c6052b) var x10 uint64 var x11 uint64 x11, x10 = bits.Mul64(x2, 0x53bbf40939d54123) var x12 uint64 var x13 uint64 x12, x13 = bits.Add64(x11, x8, uint64(0x0)) var x14 uint64 var x15 uint64 x14, x15 = bits.Add64(x9, x6, uint64(sm2p256scalarUint1(x13))) var x16 uint64 var x17 uint64 x16, x17 = bits.Add64(x7, x4, uint64(sm2p256scalarUint1(x15))) var x19 uint64 _, x19 = bits.Add64(x1, x10, uint64(0x0)) var x20 uint64 var x21 uint64 x20, x21 = bits.Add64(uint64(0x0), x12, uint64(sm2p256scalarUint1(x19))) var x22 uint64 var x23 uint64 x22, x23 = bits.Add64(uint64(0x0), x14, uint64(sm2p256scalarUint1(x21))) var x24 uint64 var x25 uint64 x24, x25 = bits.Add64(uint64(0x0), x16, uint64(sm2p256scalarUint1(x23))) var x26 uint64 var x27 uint64 x26, x27 = bits.Add64(x20, arg1[1], uint64(0x0)) var x28 uint64 var x29 uint64 x28, x29 = bits.Add64(x22, uint64(0x0), uint64(sm2p256scalarUint1(x27))) var x30 uint64 var x31 uint64 x30, x31 = bits.Add64(x24, uint64(0x0), uint64(sm2p256scalarUint1(x29))) var x32 uint64 _, x32 = bits.Mul64(x26, 0x327f9e8872350975) var x34 uint64 var x35 uint64 x35, x34 = bits.Mul64(x32, 0xfffffffeffffffff) var x36 uint64 var x37 uint64 x37, x36 = bits.Mul64(x32, 0xffffffffffffffff) var x38 uint64 var x39 uint64 x39, x38 = bits.Mul64(x32, 0x7203df6b21c6052b) var x40 uint64 var x41 uint64 x41, x40 = bits.Mul64(x32, 0x53bbf40939d54123) var x42 uint64 var x43 uint64 x42, x43 = bits.Add64(x41, x38, uint64(0x0)) var x44 uint64 var x45 uint64 x44, x45 = bits.Add64(x39, x36, uint64(sm2p256scalarUint1(x43))) var x46 uint64 var x47 uint64 x46, x47 = bits.Add64(x37, x34, uint64(sm2p256scalarUint1(x45))) var x49 uint64 _, x49 = bits.Add64(x26, x40, uint64(0x0)) var x50 uint64 var x51 uint64 x50, x51 = bits.Add64(x28, x42, uint64(sm2p256scalarUint1(x49))) var x52 uint64 var x53 uint64 x52, x53 = bits.Add64(x30, x44, uint64(sm2p256scalarUint1(x51))) var x54 uint64 var x55 uint64 x54, x55 = bits.Add64((uint64(sm2p256scalarUint1(x31)) + (uint64(sm2p256scalarUint1(x25)) + (uint64(sm2p256scalarUint1(x17)) + x5))), x46, uint64(sm2p256scalarUint1(x53))) var x56 uint64 var x57 uint64 x56, x57 = bits.Add64(x50, arg1[2], uint64(0x0)) var x58 uint64 var x59 uint64 x58, x59 = bits.Add64(x52, uint64(0x0), uint64(sm2p256scalarUint1(x57))) var x60 uint64 var x61 uint64 x60, x61 = bits.Add64(x54, uint64(0x0), uint64(sm2p256scalarUint1(x59))) var x62 uint64 _, x62 = bits.Mul64(x56, 0x327f9e8872350975) var x64 uint64 var x65 uint64 x65, x64 = bits.Mul64(x62, 0xfffffffeffffffff) var x66 uint64 var x67 uint64 x67, x66 = bits.Mul64(x62, 0xffffffffffffffff) var x68 uint64 var x69 uint64 x69, x68 = bits.Mul64(x62, 0x7203df6b21c6052b) var x70 uint64 var x71 uint64 x71, x70 = bits.Mul64(x62, 0x53bbf40939d54123) var x72 uint64 var x73 uint64 x72, x73 = bits.Add64(x71, x68, uint64(0x0)) var x74 uint64 var x75 uint64 x74, x75 = bits.Add64(x69, x66, uint64(sm2p256scalarUint1(x73))) var x76 uint64 var x77 uint64 x76, x77 = bits.Add64(x67, x64, uint64(sm2p256scalarUint1(x75))) var x79 uint64 _, x79 = bits.Add64(x56, x70, uint64(0x0)) var x80 uint64 var x81 uint64 x80, x81 = bits.Add64(x58, x72, uint64(sm2p256scalarUint1(x79))) var x82 uint64 var x83 uint64 x82, x83 = bits.Add64(x60, x74, uint64(sm2p256scalarUint1(x81))) var x84 uint64 var x85 uint64 x84, x85 = bits.Add64((uint64(sm2p256scalarUint1(x61)) + (uint64(sm2p256scalarUint1(x55)) + (uint64(sm2p256scalarUint1(x47)) + x35))), x76, uint64(sm2p256scalarUint1(x83))) var x86 uint64 var x87 uint64 x86, x87 = bits.Add64(x80, arg1[3], uint64(0x0)) var x88 uint64 var x89 uint64 x88, x89 = bits.Add64(x82, uint64(0x0), uint64(sm2p256scalarUint1(x87))) var x90 uint64 var x91 uint64 x90, x91 = bits.Add64(x84, uint64(0x0), uint64(sm2p256scalarUint1(x89))) var x92 uint64 _, x92 = bits.Mul64(x86, 0x327f9e8872350975) var x94 uint64 var x95 uint64 x95, x94 = bits.Mul64(x92, 0xfffffffeffffffff) var x96 uint64 var x97 uint64 x97, x96 = bits.Mul64(x92, 0xffffffffffffffff) var x98 uint64 var x99 uint64 x99, x98 = bits.Mul64(x92, 0x7203df6b21c6052b) var x100 uint64 var x101 uint64 x101, x100 = bits.Mul64(x92, 0x53bbf40939d54123) var x102 uint64 var x103 uint64 x102, x103 = bits.Add64(x101, x98, uint64(0x0)) var x104 uint64 var x105 uint64 x104, x105 = bits.Add64(x99, x96, uint64(sm2p256scalarUint1(x103))) var x106 uint64 var x107 uint64 x106, x107 = bits.Add64(x97, x94, uint64(sm2p256scalarUint1(x105))) var x109 uint64 _, x109 = bits.Add64(x86, x100, uint64(0x0)) var x110 uint64 var x111 uint64 x110, x111 = bits.Add64(x88, x102, uint64(sm2p256scalarUint1(x109))) var x112 uint64 var x113 uint64 x112, x113 = bits.Add64(x90, x104, uint64(sm2p256scalarUint1(x111))) var x114 uint64 var x115 uint64 x114, x115 = bits.Add64((uint64(sm2p256scalarUint1(x91)) + (uint64(sm2p256scalarUint1(x85)) + (uint64(sm2p256scalarUint1(x77)) + x65))), x106, uint64(sm2p256scalarUint1(x113))) x116 := (uint64(sm2p256scalarUint1(x115)) + (uint64(sm2p256scalarUint1(x107)) + x95)) var x117 uint64 var x118 uint64 x117, x118 = bits.Sub64(x110, 0x53bbf40939d54123, uint64(0x0)) var x119 uint64 var x120 uint64 x119, x120 = bits.Sub64(x112, 0x7203df6b21c6052b, uint64(sm2p256scalarUint1(x118))) var x121 uint64 var x122 uint64 x121, x122 = bits.Sub64(x114, 0xffffffffffffffff, uint64(sm2p256scalarUint1(x120))) var x123 uint64 var x124 uint64 x123, x124 = bits.Sub64(x116, 0xfffffffeffffffff, uint64(sm2p256scalarUint1(x122))) var x126 uint64 _, x126 = bits.Sub64(uint64(0x0), uint64(0x0), uint64(sm2p256scalarUint1(x124))) var x127 uint64 sm2p256scalarCmovznzU64(&x127, sm2p256scalarUint1(x126), x117, x110) var x128 uint64 sm2p256scalarCmovznzU64(&x128, sm2p256scalarUint1(x126), x119, x112) var x129 uint64 sm2p256scalarCmovznzU64(&x129, sm2p256scalarUint1(x126), x121, x114) var x130 uint64 sm2p256scalarCmovznzU64(&x130, sm2p256scalarUint1(x126), x123, x116) out1[0] = x127 out1[1] = x128 out1[2] = x129 out1[3] = x130 } // sm2p256scalarToMontgomery 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 sm2p256scalarToMontgomery(out1 *sm2p256scalarMontgomeryDomainFieldElement, arg1 *sm2p256scalarNonMontgomeryDomainFieldElement) { x1 := arg1[1] x2 := arg1[2] x3 := arg1[3] x4 := arg1[0] var x5 uint64 var x6 uint64 x6, x5 = bits.Mul64(x4, 0x1eb5e412a22b3d3b) var x7 uint64 var x8 uint64 x8, x7 = bits.Mul64(x4, 0x620fc84c3affe0d4) var x9 uint64 var x10 uint64 x10, x9 = bits.Mul64(x4, 0x3464504ade6fa2fa) var x11 uint64 var x12 uint64 x12, x11 = bits.Mul64(x4, 0x901192af7c114f20) 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(sm2p256scalarUint1(x14))) var x17 uint64 var x18 uint64 x17, x18 = bits.Add64(x8, x5, uint64(sm2p256scalarUint1(x16))) var x19 uint64 _, x19 = bits.Mul64(x11, 0x327f9e8872350975) var x21 uint64 var x22 uint64 x22, x21 = bits.Mul64(x19, 0xfffffffeffffffff) var x23 uint64 var x24 uint64 x24, x23 = bits.Mul64(x19, 0xffffffffffffffff) var x25 uint64 var x26 uint64 x26, x25 = bits.Mul64(x19, 0x7203df6b21c6052b) var x27 uint64 var x28 uint64 x28, x27 = bits.Mul64(x19, 0x53bbf40939d54123) var x29 uint64 var x30 uint64 x29, x30 = bits.Add64(x28, x25, uint64(0x0)) var x31 uint64 var x32 uint64 x31, x32 = bits.Add64(x26, x23, uint64(sm2p256scalarUint1(x30))) var x33 uint64 var x34 uint64 x33, x34 = bits.Add64(x24, x21, uint64(sm2p256scalarUint1(x32))) var x36 uint64 _, x36 = bits.Add64(x11, x27, uint64(0x0)) var x37 uint64 var x38 uint64 x37, x38 = bits.Add64(x13, x29, uint64(sm2p256scalarUint1(x36))) var x39 uint64 var x40 uint64 x39, x40 = bits.Add64(x15, x31, uint64(sm2p256scalarUint1(x38))) var x41 uint64 var x42 uint64 x41, x42 = bits.Add64(x17, x33, uint64(sm2p256scalarUint1(x40))) var x43 uint64 var x44 uint64 x43, x44 = bits.Add64((uint64(sm2p256scalarUint1(x18)) + x6), (uint64(sm2p256scalarUint1(x34)) + x22), uint64(sm2p256scalarUint1(x42))) var x45 uint64 var x46 uint64 x46, x45 = bits.Mul64(x1, 0x1eb5e412a22b3d3b) var x47 uint64 var x48 uint64 x48, x47 = bits.Mul64(x1, 0x620fc84c3affe0d4) var x49 uint64 var x50 uint64 x50, x49 = bits.Mul64(x1, 0x3464504ade6fa2fa) var x51 uint64 var x52 uint64 x52, x51 = bits.Mul64(x1, 0x901192af7c114f20) var x53 uint64 var x54 uint64 x53, x54 = bits.Add64(x52, x49, uint64(0x0)) var x55 uint64 var x56 uint64 x55, x56 = bits.Add64(x50, x47, uint64(sm2p256scalarUint1(x54))) var x57 uint64 var x58 uint64 x57, x58 = bits.Add64(x48, x45, uint64(sm2p256scalarUint1(x56))) var x59 uint64 var x60 uint64 x59, x60 = bits.Add64(x37, x51, uint64(0x0)) var x61 uint64 var x62 uint64 x61, x62 = bits.Add64(x39, x53, uint64(sm2p256scalarUint1(x60))) var x63 uint64 var x64 uint64 x63, x64 = bits.Add64(x41, x55, uint64(sm2p256scalarUint1(x62))) var x65 uint64 var x66 uint64 x65, x66 = bits.Add64(x43, x57, uint64(sm2p256scalarUint1(x64))) var x67 uint64 _, x67 = bits.Mul64(x59, 0x327f9e8872350975) var x69 uint64 var x70 uint64 x70, x69 = bits.Mul64(x67, 0xfffffffeffffffff) var x71 uint64 var x72 uint64 x72, x71 = bits.Mul64(x67, 0xffffffffffffffff) var x73 uint64 var x74 uint64 x74, x73 = bits.Mul64(x67, 0x7203df6b21c6052b) var x75 uint64 var x76 uint64 x76, x75 = bits.Mul64(x67, 0x53bbf40939d54123) var x77 uint64 var x78 uint64 x77, x78 = bits.Add64(x76, x73, uint64(0x0)) var x79 uint64 var x80 uint64 x79, x80 = bits.Add64(x74, x71, uint64(sm2p256scalarUint1(x78))) var x81 uint64 var x82 uint64 x81, x82 = bits.Add64(x72, x69, uint64(sm2p256scalarUint1(x80))) var x84 uint64 _, x84 = bits.Add64(x59, x75, uint64(0x0)) var x85 uint64 var x86 uint64 x85, x86 = bits.Add64(x61, x77, uint64(sm2p256scalarUint1(x84))) var x87 uint64 var x88 uint64 x87, x88 = bits.Add64(x63, x79, uint64(sm2p256scalarUint1(x86))) var x89 uint64 var x90 uint64 x89, x90 = bits.Add64(x65, x81, uint64(sm2p256scalarUint1(x88))) var x91 uint64 var x92 uint64 x91, x92 = bits.Add64(((uint64(sm2p256scalarUint1(x66)) + uint64(sm2p256scalarUint1(x44))) + (uint64(sm2p256scalarUint1(x58)) + x46)), (uint64(sm2p256scalarUint1(x82)) + x70), uint64(sm2p256scalarUint1(x90))) var x93 uint64 var x94 uint64 x94, x93 = bits.Mul64(x2, 0x1eb5e412a22b3d3b) var x95 uint64 var x96 uint64 x96, x95 = bits.Mul64(x2, 0x620fc84c3affe0d4) var x97 uint64 var x98 uint64 x98, x97 = bits.Mul64(x2, 0x3464504ade6fa2fa) var x99 uint64 var x100 uint64 x100, x99 = bits.Mul64(x2, 0x901192af7c114f20) var x101 uint64 var x102 uint64 x101, x102 = bits.Add64(x100, x97, uint64(0x0)) var x103 uint64 var x104 uint64 x103, x104 = bits.Add64(x98, x95, uint64(sm2p256scalarUint1(x102))) var x105 uint64 var x106 uint64 x105, x106 = bits.Add64(x96, x93, uint64(sm2p256scalarUint1(x104))) var x107 uint64 var x108 uint64 x107, x108 = bits.Add64(x85, x99, uint64(0x0)) var x109 uint64 var x110 uint64 x109, x110 = bits.Add64(x87, x101, uint64(sm2p256scalarUint1(x108))) var x111 uint64 var x112 uint64 x111, x112 = bits.Add64(x89, x103, uint64(sm2p256scalarUint1(x110))) var x113 uint64 var x114 uint64 x113, x114 = bits.Add64(x91, x105, uint64(sm2p256scalarUint1(x112))) var x115 uint64 _, x115 = bits.Mul64(x107, 0x327f9e8872350975) var x117 uint64 var x118 uint64 x118, x117 = bits.Mul64(x115, 0xfffffffeffffffff) var x119 uint64 var x120 uint64 x120, x119 = bits.Mul64(x115, 0xffffffffffffffff) var x121 uint64 var x122 uint64 x122, x121 = bits.Mul64(x115, 0x7203df6b21c6052b) var x123 uint64 var x124 uint64 x124, x123 = bits.Mul64(x115, 0x53bbf40939d54123) 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(sm2p256scalarUint1(x126))) var x129 uint64 var x130 uint64 x129, x130 = bits.Add64(x120, x117, uint64(sm2p256scalarUint1(x128))) var x132 uint64 _, x132 = bits.Add64(x107, x123, uint64(0x0)) var x133 uint64 var x134 uint64 x133, x134 = bits.Add64(x109, x125, uint64(sm2p256scalarUint1(x132))) var x135 uint64 var x136 uint64 x135, x136 = bits.Add64(x111, x127, uint64(sm2p256scalarUint1(x134))) var x137 uint64 var x138 uint64 x137, x138 = bits.Add64(x113, x129, uint64(sm2p256scalarUint1(x136))) var x139 uint64 var x140 uint64 x139, x140 = bits.Add64(((uint64(sm2p256scalarUint1(x114)) + uint64(sm2p256scalarUint1(x92))) + (uint64(sm2p256scalarUint1(x106)) + x94)), (uint64(sm2p256scalarUint1(x130)) + x118), uint64(sm2p256scalarUint1(x138))) var x141 uint64 var x142 uint64 x142, x141 = bits.Mul64(x3, 0x1eb5e412a22b3d3b) var x143 uint64 var x144 uint64 x144, x143 = bits.Mul64(x3, 0x620fc84c3affe0d4) var x145 uint64 var x146 uint64 x146, x145 = bits.Mul64(x3, 0x3464504ade6fa2fa) var x147 uint64 var x148 uint64 x148, x147 = bits.Mul64(x3, 0x901192af7c114f20) var x149 uint64 var x150 uint64 x149, x150 = bits.Add64(x148, x145, uint64(0x0)) var x151 uint64 var x152 uint64 x151, x152 = bits.Add64(x146, x143, uint64(sm2p256scalarUint1(x150))) var x153 uint64 var x154 uint64 x153, x154 = bits.Add64(x144, x141, uint64(sm2p256scalarUint1(x152))) var x155 uint64 var x156 uint64 x155, x156 = bits.Add64(x133, x147, uint64(0x0)) var x157 uint64 var x158 uint64 x157, x158 = bits.Add64(x135, x149, uint64(sm2p256scalarUint1(x156))) var x159 uint64 var x160 uint64 x159, x160 = bits.Add64(x137, x151, uint64(sm2p256scalarUint1(x158))) var x161 uint64 var x162 uint64 x161, x162 = bits.Add64(x139, x153, uint64(sm2p256scalarUint1(x160))) var x163 uint64 _, x163 = bits.Mul64(x155, 0x327f9e8872350975) var x165 uint64 var x166 uint64 x166, x165 = bits.Mul64(x163, 0xfffffffeffffffff) var x167 uint64 var x168 uint64 x168, x167 = bits.Mul64(x163, 0xffffffffffffffff) var x169 uint64 var x170 uint64 x170, x169 = bits.Mul64(x163, 0x7203df6b21c6052b) var x171 uint64 var x172 uint64 x172, x171 = bits.Mul64(x163, 0x53bbf40939d54123) var x173 uint64 var x174 uint64 x173, x174 = bits.Add64(x172, x169, uint64(0x0)) var x175 uint64 var x176 uint64 x175, x176 = bits.Add64(x170, x167, uint64(sm2p256scalarUint1(x174))) var x177 uint64 var x178 uint64 x177, x178 = bits.Add64(x168, x165, uint64(sm2p256scalarUint1(x176))) var x180 uint64 _, x180 = bits.Add64(x155, x171, uint64(0x0)) var x181 uint64 var x182 uint64 x181, x182 = bits.Add64(x157, x173, uint64(sm2p256scalarUint1(x180))) var x183 uint64 var x184 uint64 x183, x184 = bits.Add64(x159, x175, uint64(sm2p256scalarUint1(x182))) var x185 uint64 var x186 uint64 x185, x186 = bits.Add64(x161, x177, uint64(sm2p256scalarUint1(x184))) var x187 uint64 var x188 uint64 x187, x188 = bits.Add64(((uint64(sm2p256scalarUint1(x162)) + uint64(sm2p256scalarUint1(x140))) + (uint64(sm2p256scalarUint1(x154)) + x142)), (uint64(sm2p256scalarUint1(x178)) + x166), uint64(sm2p256scalarUint1(x186))) var x189 uint64 var x190 uint64 x189, x190 = bits.Sub64(x181, 0x53bbf40939d54123, uint64(0x0)) var x191 uint64 var x192 uint64 x191, x192 = bits.Sub64(x183, 0x7203df6b21c6052b, uint64(sm2p256scalarUint1(x190))) var x193 uint64 var x194 uint64 x193, x194 = bits.Sub64(x185, 0xffffffffffffffff, uint64(sm2p256scalarUint1(x192))) var x195 uint64 var x196 uint64 x195, x196 = bits.Sub64(x187, 0xfffffffeffffffff, uint64(sm2p256scalarUint1(x194))) var x198 uint64 _, x198 = bits.Sub64(uint64(sm2p256scalarUint1(x188)), uint64(0x0), uint64(sm2p256scalarUint1(x196))) var x199 uint64 sm2p256scalarCmovznzU64(&x199, sm2p256scalarUint1(x198), x189, x181) var x200 uint64 sm2p256scalarCmovznzU64(&x200, sm2p256scalarUint1(x198), x191, x183) var x201 uint64 sm2p256scalarCmovznzU64(&x201, sm2p256scalarUint1(x198), x193, x185) var x202 uint64 sm2p256scalarCmovznzU64(&x202, sm2p256scalarUint1(x198), x195, x187) out1[0] = x199 out1[1] = x200 out1[2] = x201 out1[3] = x202 } // sm2p256scalarSelectznz is a multi-limb conditional select. // // Postconditions: // out1 = (if arg1 = 0 then arg2 else arg3) // // Input Bounds: // arg1: [0x0 ~> 0x1] // arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] // arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] // Output Bounds: // out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] func sm2p256scalarSelectznz(out1 *[4]uint64, arg1 sm2p256scalarUint1, arg2 *[4]uint64, arg3 *[4]uint64) { var x1 uint64 sm2p256scalarCmovznzU64(&x1, arg1, arg2[0], arg3[0]) var x2 uint64 sm2p256scalarCmovznzU64(&x2, arg1, arg2[1], arg3[1]) var x3 uint64 sm2p256scalarCmovznzU64(&x3, arg1, arg2[2], arg3[2]) var x4 uint64 sm2p256scalarCmovznzU64(&x4, arg1, arg2[3], arg3[3]) out1[0] = x1 out1[1] = x2 out1[2] = x3 out1[3] = x4 } // sm2p256scalarToBytes 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 ~> 0xffffffffffffffff]] // 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 ~> 0xff]] func sm2p256scalarToBytes(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 } // sm2p256scalarFromBytes 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 ~> 0xff]] // Output Bounds: // out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] func sm2p256scalarFromBytes(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 } // sm2p256scalarNonzero 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 sm2p256scalarNonzero(out1 *uint64, arg1 *[4]uint64) { x1 := (arg1[0] | (arg1[1] | (arg1[2] | arg1[3]))) *out1 = x1 } // sm2p256scalarOpp 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 sm2p256scalarOpp(out1 *sm2p256scalarMontgomeryDomainFieldElement, arg1 *sm2p256scalarMontgomeryDomainFieldElement) { 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(sm2p256scalarUint1(x2))) var x5 uint64 var x6 uint64 x5, x6 = bits.Sub64(uint64(0x0), arg1[2], uint64(sm2p256scalarUint1(x4))) var x7 uint64 var x8 uint64 x7, x8 = bits.Sub64(uint64(0x0), arg1[3], uint64(sm2p256scalarUint1(x6))) var x9 uint64 sm2p256scalarCmovznzU64(&x9, sm2p256scalarUint1(x8), uint64(0x0), 0xffffffffffffffff) var x10 uint64 var x11 uint64 x10, x11 = bits.Add64(x1, (x9 & 0x53bbf40939d54123), uint64(0x0)) var x12 uint64 var x13 uint64 x12, x13 = bits.Add64(x3, (x9 & 0x7203df6b21c6052b), uint64(sm2p256scalarUint1(x11))) var x14 uint64 var x15 uint64 x14, x15 = bits.Add64(x5, x9, uint64(sm2p256scalarUint1(x13))) var x16 uint64 x16, _ = bits.Add64(x7, (x9 & 0xfffffffeffffffff), uint64(sm2p256scalarUint1(x15))) out1[0] = x10 out1[1] = x12 out1[2] = x14 out1[3] = x16 } // sm2p256scalarMsat returns the saturated representation of the prime modulus. // // Postconditions: // twos_complement_eval out1 = m // 0 ≤ eval out1 < m // // Output Bounds: // out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] func sm2p256scalarMsat(out1 *[5]uint64) { out1[0] = 0x53bbf40939d54123 out1[1] = 0x7203df6b21c6052b out1[2] = 0xffffffffffffffff out1[3] = 0xfffffffeffffffff out1[4] = uint64(0x0) } // sm2p256scalarDivstep computes a divstep. // // Preconditions: // 0 ≤ eval arg4 < m // 0 ≤ eval arg5 < m // Postconditions: // out1 = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then 1 - arg1 else 1 + arg1) // twos_complement_eval out2 = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then twos_complement_eval arg3 else twos_complement_eval arg2) // twos_complement_eval out3 = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then ⌊(twos_complement_eval arg3 - twos_complement_eval arg2) / 2⌋ else ⌊(twos_complement_eval arg3 + (twos_complement_eval arg3 mod 2) * twos_complement_eval arg2) / 2⌋) // eval (from_montgomery out4) mod m = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then (2 * eval (from_montgomery arg5)) mod m else (2 * eval (from_montgomery arg4)) mod m) // eval (from_montgomery out5) mod m = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then (eval (from_montgomery arg4) - eval (from_montgomery arg4)) mod m else (eval (from_montgomery arg5) + (twos_complement_eval arg3 mod 2) * eval (from_montgomery arg4)) mod m) // 0 ≤ eval out5 < m // 0 ≤ eval out5 < m // 0 ≤ eval out2 < m // 0 ≤ eval out3 < m // // Input Bounds: // arg1: [0x0 ~> 0xffffffffffffffff] // arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] // arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] // arg4: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] // arg5: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] // Output Bounds: // out1: [0x0 ~> 0xffffffffffffffff] // out2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] // out3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] // out4: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] // out5: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] func sm2p256scalarDivstep(out1 *uint64, out2 *[5]uint64, out3 *[5]uint64, out4 *[4]uint64, out5 *[4]uint64, arg1 uint64, arg2 *[5]uint64, arg3 *[5]uint64, arg4 *[4]uint64, arg5 *[4]uint64) { var x1 uint64 x1, _ = bits.Add64((^arg1), uint64(0x1), uint64(0x0)) x3 := (sm2p256scalarUint1((x1 >> 63)) & (sm2p256scalarUint1(arg3[0]) & 0x1)) var x4 uint64 x4, _ = bits.Add64((^arg1), uint64(0x1), uint64(0x0)) var x6 uint64 sm2p256scalarCmovznzU64(&x6, x3, arg1, x4) var x7 uint64 sm2p256scalarCmovznzU64(&x7, x3, arg2[0], arg3[0]) var x8 uint64 sm2p256scalarCmovznzU64(&x8, x3, arg2[1], arg3[1]) var x9 uint64 sm2p256scalarCmovznzU64(&x9, x3, arg2[2], arg3[2]) var x10 uint64 sm2p256scalarCmovznzU64(&x10, x3, arg2[3], arg3[3]) var x11 uint64 sm2p256scalarCmovznzU64(&x11, x3, arg2[4], arg3[4]) var x12 uint64 var x13 uint64 x12, x13 = bits.Add64(uint64(0x1), (^arg2[0]), uint64(0x0)) var x14 uint64 var x15 uint64 x14, x15 = bits.Add64(uint64(0x0), (^arg2[1]), uint64(sm2p256scalarUint1(x13))) var x16 uint64 var x17 uint64 x16, x17 = bits.Add64(uint64(0x0), (^arg2[2]), uint64(sm2p256scalarUint1(x15))) var x18 uint64 var x19 uint64 x18, x19 = bits.Add64(uint64(0x0), (^arg2[3]), uint64(sm2p256scalarUint1(x17))) var x20 uint64 x20, _ = bits.Add64(uint64(0x0), (^arg2[4]), uint64(sm2p256scalarUint1(x19))) var x22 uint64 sm2p256scalarCmovznzU64(&x22, x3, arg3[0], x12) var x23 uint64 sm2p256scalarCmovznzU64(&x23, x3, arg3[1], x14) var x24 uint64 sm2p256scalarCmovznzU64(&x24, x3, arg3[2], x16) var x25 uint64 sm2p256scalarCmovznzU64(&x25, x3, arg3[3], x18) var x26 uint64 sm2p256scalarCmovznzU64(&x26, x3, arg3[4], x20) var x27 uint64 sm2p256scalarCmovznzU64(&x27, x3, arg4[0], arg5[0]) var x28 uint64 sm2p256scalarCmovznzU64(&x28, x3, arg4[1], arg5[1]) var x29 uint64 sm2p256scalarCmovznzU64(&x29, x3, arg4[2], arg5[2]) var x30 uint64 sm2p256scalarCmovznzU64(&x30, x3, arg4[3], arg5[3]) var x31 uint64 var x32 uint64 x31, x32 = bits.Add64(x27, x27, uint64(0x0)) var x33 uint64 var x34 uint64 x33, x34 = bits.Add64(x28, x28, uint64(sm2p256scalarUint1(x32))) var x35 uint64 var x36 uint64 x35, x36 = bits.Add64(x29, x29, uint64(sm2p256scalarUint1(x34))) var x37 uint64 var x38 uint64 x37, x38 = bits.Add64(x30, x30, uint64(sm2p256scalarUint1(x36))) var x39 uint64 var x40 uint64 x39, x40 = bits.Sub64(x31, 0x53bbf40939d54123, uint64(0x0)) var x41 uint64 var x42 uint64 x41, x42 = bits.Sub64(x33, 0x7203df6b21c6052b, uint64(sm2p256scalarUint1(x40))) var x43 uint64 var x44 uint64 x43, x44 = bits.Sub64(x35, 0xffffffffffffffff, uint64(sm2p256scalarUint1(x42))) var x45 uint64 var x46 uint64 x45, x46 = bits.Sub64(x37, 0xfffffffeffffffff, uint64(sm2p256scalarUint1(x44))) var x48 uint64 _, x48 = bits.Sub64(uint64(sm2p256scalarUint1(x38)), uint64(0x0), uint64(sm2p256scalarUint1(x46))) x49 := arg4[3] x50 := arg4[2] x51 := arg4[1] x52 := arg4[0] var x53 uint64 var x54 uint64 x53, x54 = bits.Sub64(uint64(0x0), x52, uint64(0x0)) var x55 uint64 var x56 uint64 x55, x56 = bits.Sub64(uint64(0x0), x51, uint64(sm2p256scalarUint1(x54))) var x57 uint64 var x58 uint64 x57, x58 = bits.Sub64(uint64(0x0), x50, uint64(sm2p256scalarUint1(x56))) var x59 uint64 var x60 uint64 x59, x60 = bits.Sub64(uint64(0x0), x49, uint64(sm2p256scalarUint1(x58))) var x61 uint64 sm2p256scalarCmovznzU64(&x61, sm2p256scalarUint1(x60), uint64(0x0), 0xffffffffffffffff) var x62 uint64 var x63 uint64 x62, x63 = bits.Add64(x53, (x61 & 0x53bbf40939d54123), uint64(0x0)) var x64 uint64 var x65 uint64 x64, x65 = bits.Add64(x55, (x61 & 0x7203df6b21c6052b), uint64(sm2p256scalarUint1(x63))) var x66 uint64 var x67 uint64 x66, x67 = bits.Add64(x57, x61, uint64(sm2p256scalarUint1(x65))) var x68 uint64 x68, _ = bits.Add64(x59, (x61 & 0xfffffffeffffffff), uint64(sm2p256scalarUint1(x67))) var x70 uint64 sm2p256scalarCmovznzU64(&x70, x3, arg5[0], x62) var x71 uint64 sm2p256scalarCmovznzU64(&x71, x3, arg5[1], x64) var x72 uint64 sm2p256scalarCmovznzU64(&x72, x3, arg5[2], x66) var x73 uint64 sm2p256scalarCmovznzU64(&x73, x3, arg5[3], x68) x74 := (sm2p256scalarUint1(x22) & 0x1) var x75 uint64 sm2p256scalarCmovznzU64(&x75, x74, uint64(0x0), x7) var x76 uint64 sm2p256scalarCmovznzU64(&x76, x74, uint64(0x0), x8) var x77 uint64 sm2p256scalarCmovznzU64(&x77, x74, uint64(0x0), x9) var x78 uint64 sm2p256scalarCmovznzU64(&x78, x74, uint64(0x0), x10) var x79 uint64 sm2p256scalarCmovznzU64(&x79, x74, uint64(0x0), x11) var x80 uint64 var x81 uint64 x80, x81 = bits.Add64(x22, x75, uint64(0x0)) var x82 uint64 var x83 uint64 x82, x83 = bits.Add64(x23, x76, uint64(sm2p256scalarUint1(x81))) var x84 uint64 var x85 uint64 x84, x85 = bits.Add64(x24, x77, uint64(sm2p256scalarUint1(x83))) var x86 uint64 var x87 uint64 x86, x87 = bits.Add64(x25, x78, uint64(sm2p256scalarUint1(x85))) var x88 uint64 x88, _ = bits.Add64(x26, x79, uint64(sm2p256scalarUint1(x87))) var x90 uint64 sm2p256scalarCmovznzU64(&x90, x74, uint64(0x0), x27) var x91 uint64 sm2p256scalarCmovznzU64(&x91, x74, uint64(0x0), x28) var x92 uint64 sm2p256scalarCmovznzU64(&x92, x74, uint64(0x0), x29) var x93 uint64 sm2p256scalarCmovznzU64(&x93, x74, uint64(0x0), x30) var x94 uint64 var x95 uint64 x94, x95 = bits.Add64(x70, x90, uint64(0x0)) var x96 uint64 var x97 uint64 x96, x97 = bits.Add64(x71, x91, uint64(sm2p256scalarUint1(x95))) var x98 uint64 var x99 uint64 x98, x99 = bits.Add64(x72, x92, uint64(sm2p256scalarUint1(x97))) var x100 uint64 var x101 uint64 x100, x101 = bits.Add64(x73, x93, uint64(sm2p256scalarUint1(x99))) var x102 uint64 var x103 uint64 x102, x103 = bits.Sub64(x94, 0x53bbf40939d54123, uint64(0x0)) var x104 uint64 var x105 uint64 x104, x105 = bits.Sub64(x96, 0x7203df6b21c6052b, uint64(sm2p256scalarUint1(x103))) var x106 uint64 var x107 uint64 x106, x107 = bits.Sub64(x98, 0xffffffffffffffff, uint64(sm2p256scalarUint1(x105))) var x108 uint64 var x109 uint64 x108, x109 = bits.Sub64(x100, 0xfffffffeffffffff, uint64(sm2p256scalarUint1(x107))) var x111 uint64 _, x111 = bits.Sub64(uint64(sm2p256scalarUint1(x101)), uint64(0x0), uint64(sm2p256scalarUint1(x109))) var x112 uint64 x112, _ = bits.Add64(x6, uint64(0x1), uint64(0x0)) x114 := ((x80 >> 1) | ((x82 << 63) & 0xffffffffffffffff)) x115 := ((x82 >> 1) | ((x84 << 63) & 0xffffffffffffffff)) x116 := ((x84 >> 1) | ((x86 << 63) & 0xffffffffffffffff)) x117 := ((x86 >> 1) | ((x88 << 63) & 0xffffffffffffffff)) x118 := ((x88 & 0x8000000000000000) | (x88 >> 1)) var x119 uint64 sm2p256scalarCmovznzU64(&x119, sm2p256scalarUint1(x48), x39, x31) var x120 uint64 sm2p256scalarCmovznzU64(&x120, sm2p256scalarUint1(x48), x41, x33) var x121 uint64 sm2p256scalarCmovznzU64(&x121, sm2p256scalarUint1(x48), x43, x35) var x122 uint64 sm2p256scalarCmovznzU64(&x122, sm2p256scalarUint1(x48), x45, x37) var x123 uint64 sm2p256scalarCmovznzU64(&x123, sm2p256scalarUint1(x111), x102, x94) var x124 uint64 sm2p256scalarCmovznzU64(&x124, sm2p256scalarUint1(x111), x104, x96) var x125 uint64 sm2p256scalarCmovznzU64(&x125, sm2p256scalarUint1(x111), x106, x98) var x126 uint64 sm2p256scalarCmovznzU64(&x126, sm2p256scalarUint1(x111), x108, x100) *out1 = x112 out2[0] = x7 out2[1] = x8 out2[2] = x9 out2[3] = x10 out2[4] = x11 out3[0] = x114 out3[1] = x115 out3[2] = x116 out3[3] = x117 out3[4] = x118 out4[0] = x119 out4[1] = x120 out4[2] = x121 out4[3] = x122 out5[0] = x123 out5[1] = x124 out5[2] = x125 out5[3] = x126 } // sm2p256scalarDivstepPrecomp returns the precomputed value for Bernstein-Yang-inversion (in montgomery form). // // Postconditions: // eval (from_montgomery out1) = ⌊(m - 1) / 2⌋^(if ⌊log2 m⌋ + 1 < 46 then ⌊(49 * (⌊log2 m⌋ + 1) + 80) / 17⌋ else ⌊(49 * (⌊log2 m⌋ + 1) + 57) / 17⌋) // 0 ≤ eval out1 < m // // Output Bounds: // out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] func sm2p256scalarDivstepPrecomp(out1 *[4]uint64) { out1[0] = 0x1aa32707b351756d out1[1] = 0xabdd671e2a62fa out1[2] = 0x49280d7dd4009a81 out1[3] = 0xd730336ee6bb86e8 }