// Code generated by Fiat Cryptography. DO NOT EDIT. // // Autogenerated: 'fiat-crypto/src/ExtractionOCaml/unsaturated_solinas' --lang Go --no-wide-int --cmovznz-by-mul --internal-static --public-function-case camelCase --public-type-case camelCase --private-function-case camelCase --private-type-case camelCase --no-prefix-fiat --package-name fiat --doc-text-before-function-name '' --doc-prepend-header 'Code generated by Fiat Cryptography. DO NOT EDIT.' --doc-newline-before-package-declaration p521 64 9 '2^521 - 1' carry_mul carry_square carry add sub to_bytes from_bytes selectznz // // curve description: p521 // // machine_wordsize = 64 (from "64") // // requested operations: carry_mul, carry_square, carry, add, sub, to_bytes, from_bytes, selectznz // // n = 9 (from "9") // // s-c = 2^521 - [(1, 1)] (from "2^521 - 1") // // tight_bounds_multiplier = 1 (from "") // // // // Computed values: // // carry_chain = [0, 1, 2, 3, 4, 5, 6, 7, 8, 0, 1] // // eval z = z[0] + (z[1] << 58) + (z[2] << 116) + (z[3] << 174) + (z[4] << 232) + (z[5] << 0x122) + (z[6] << 0x15c) + (z[7] << 0x196) + (z[8] << 0x1d0) // // 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) + (z[32] << 256) + (z[33] << 0x108) + (z[34] << 0x110) + (z[35] << 0x118) + (z[36] << 0x120) + (z[37] << 0x128) + (z[38] << 0x130) + (z[39] << 0x138) + (z[40] << 0x140) + (z[41] << 0x148) + (z[42] << 0x150) + (z[43] << 0x158) + (z[44] << 0x160) + (z[45] << 0x168) + (z[46] << 0x170) + (z[47] << 0x178) + (z[48] << 0x180) + (z[49] << 0x188) + (z[50] << 0x190) + (z[51] << 0x198) + (z[52] << 0x1a0) + (z[53] << 0x1a8) + (z[54] << 0x1b0) + (z[55] << 0x1b8) + (z[56] << 0x1c0) + (z[57] << 0x1c8) + (z[58] << 0x1d0) + (z[59] << 0x1d8) + (z[60] << 0x1e0) + (z[61] << 0x1e8) + (z[62] << 0x1f0) + (z[63] << 0x1f8) + (z[64] << 2^9) + (z[65] << 0x208) // // balance = [0x7fffffffffffffe, 0x7fffffffffffffe, 0x7fffffffffffffe, 0x7fffffffffffffe, 0x7fffffffffffffe, 0x7fffffffffffffe, 0x7fffffffffffffe, 0x7fffffffffffffe, 0x3fffffffffffffe] package fiat import "math/bits" type p521Uint1 uint8 type p521Int1 int8 // p521AddcarryxU64 is a thin wrapper around bits.Add64 that uses p521Uint1 rather than uint64 func p521AddcarryxU64(x uint64, y uint64, carry p521Uint1) (uint64, p521Uint1) { sum, carryOut := bits.Add64(x, y, uint64(carry)) return sum, p521Uint1(carryOut) } // p521SubborrowxU64 is a thin wrapper around bits.Sub64 that uses p521Uint1 rather than uint64 func p521SubborrowxU64(x uint64, y uint64, carry p521Uint1) (uint64, p521Uint1) { sum, carryOut := bits.Sub64(x, y, uint64(carry)) return sum, p521Uint1(carryOut) } // p521AddcarryxU58 is an addition with carry. // // Postconditions: // out1 = (arg1 + arg2 + arg3) mod 2^58 // out2 = ⌊(arg1 + arg2 + arg3) / 2^58⌋ // // Input Bounds: // arg1: [0x0 ~> 0x1] // arg2: [0x0 ~> 0x3ffffffffffffff] // arg3: [0x0 ~> 0x3ffffffffffffff] // Output Bounds: // out1: [0x0 ~> 0x3ffffffffffffff] // out2: [0x0 ~> 0x1] func p521AddcarryxU58(out1 *uint64, out2 *p521Uint1, arg1 p521Uint1, arg2 uint64, arg3 uint64) { x1 := ((uint64(arg1) + arg2) + arg3) x2 := (x1 & 0x3ffffffffffffff) x3 := p521Uint1((x1 >> 58)) *out1 = x2 *out2 = x3 } // p521SubborrowxU58 is a subtraction with borrow. // // Postconditions: // out1 = (-arg1 + arg2 + -arg3) mod 2^58 // out2 = -⌊(-arg1 + arg2 + -arg3) / 2^58⌋ // // Input Bounds: // arg1: [0x0 ~> 0x1] // arg2: [0x0 ~> 0x3ffffffffffffff] // arg3: [0x0 ~> 0x3ffffffffffffff] // Output Bounds: // out1: [0x0 ~> 0x3ffffffffffffff] // out2: [0x0 ~> 0x1] func p521SubborrowxU58(out1 *uint64, out2 *p521Uint1, arg1 p521Uint1, arg2 uint64, arg3 uint64) { x1 := ((int64(arg2) - int64(arg1)) - int64(arg3)) x2 := p521Int1((x1 >> 58)) x3 := (uint64(x1) & 0x3ffffffffffffff) *out1 = x3 *out2 = (0x0 - p521Uint1(x2)) } // p521AddcarryxU57 is an addition with carry. // // Postconditions: // out1 = (arg1 + arg2 + arg3) mod 2^57 // out2 = ⌊(arg1 + arg2 + arg3) / 2^57⌋ // // Input Bounds: // arg1: [0x0 ~> 0x1] // arg2: [0x0 ~> 0x1ffffffffffffff] // arg3: [0x0 ~> 0x1ffffffffffffff] // Output Bounds: // out1: [0x0 ~> 0x1ffffffffffffff] // out2: [0x0 ~> 0x1] func p521AddcarryxU57(out1 *uint64, out2 *p521Uint1, arg1 p521Uint1, arg2 uint64, arg3 uint64) { x1 := ((uint64(arg1) + arg2) + arg3) x2 := (x1 & 0x1ffffffffffffff) x3 := p521Uint1((x1 >> 57)) *out1 = x2 *out2 = x3 } // p521SubborrowxU57 is a subtraction with borrow. // // Postconditions: // out1 = (-arg1 + arg2 + -arg3) mod 2^57 // out2 = -⌊(-arg1 + arg2 + -arg3) / 2^57⌋ // // Input Bounds: // arg1: [0x0 ~> 0x1] // arg2: [0x0 ~> 0x1ffffffffffffff] // arg3: [0x0 ~> 0x1ffffffffffffff] // Output Bounds: // out1: [0x0 ~> 0x1ffffffffffffff] // out2: [0x0 ~> 0x1] func p521SubborrowxU57(out1 *uint64, out2 *p521Uint1, arg1 p521Uint1, arg2 uint64, arg3 uint64) { x1 := ((int64(arg2) - int64(arg1)) - int64(arg3)) x2 := p521Int1((x1 >> 57)) x3 := (uint64(x1) & 0x1ffffffffffffff) *out1 = x3 *out2 = (0x0 - p521Uint1(x2)) } // p521CmovznzU64 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 p521CmovznzU64(out1 *uint64, arg1 p521Uint1, arg2 uint64, arg3 uint64) { x1 := (uint64(arg1) * 0xffffffffffffffff) x2 := ((x1 & arg3) | ((^x1) & arg2)) *out1 = x2 } // p521CarryMul multiplies two field elements and reduces the result. // // Postconditions: // eval out1 mod m = (eval arg1 * eval arg2) mod m // // Input Bounds: // arg1: [[0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0x600000000000000]] // arg2: [[0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0x600000000000000]] // Output Bounds: // out1: [[0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x200000000000000]] func p521CarryMul(out1 *[9]uint64, arg1 *[9]uint64, arg2 *[9]uint64) { var x1 uint64 var x2 uint64 x2, x1 = bits.Mul64(arg1[8], (arg2[8] * 0x2)) var x3 uint64 var x4 uint64 x4, x3 = bits.Mul64(arg1[8], (arg2[7] * 0x2)) var x5 uint64 var x6 uint64 x6, x5 = bits.Mul64(arg1[8], (arg2[6] * 0x2)) var x7 uint64 var x8 uint64 x8, x7 = bits.Mul64(arg1[8], (arg2[5] * 0x2)) var x9 uint64 var x10 uint64 x10, x9 = bits.Mul64(arg1[8], (arg2[4] * 0x2)) var x11 uint64 var x12 uint64 x12, x11 = bits.Mul64(arg1[8], (arg2[3] * 0x2)) var x13 uint64 var x14 uint64 x14, x13 = bits.Mul64(arg1[8], (arg2[2] * 0x2)) var x15 uint64 var x16 uint64 x16, x15 = bits.Mul64(arg1[8], (arg2[1] * 0x2)) var x17 uint64 var x18 uint64 x18, x17 = bits.Mul64(arg1[7], (arg2[8] * 0x2)) var x19 uint64 var x20 uint64 x20, x19 = bits.Mul64(arg1[7], (arg2[7] * 0x2)) var x21 uint64 var x22 uint64 x22, x21 = bits.Mul64(arg1[7], (arg2[6] * 0x2)) var x23 uint64 var x24 uint64 x24, x23 = bits.Mul64(arg1[7], (arg2[5] * 0x2)) var x25 uint64 var x26 uint64 x26, x25 = bits.Mul64(arg1[7], (arg2[4] * 0x2)) var x27 uint64 var x28 uint64 x28, x27 = bits.Mul64(arg1[7], (arg2[3] * 0x2)) var x29 uint64 var x30 uint64 x30, x29 = bits.Mul64(arg1[7], (arg2[2] * 0x2)) var x31 uint64 var x32 uint64 x32, x31 = bits.Mul64(arg1[6], (arg2[8] * 0x2)) var x33 uint64 var x34 uint64 x34, x33 = bits.Mul64(arg1[6], (arg2[7] * 0x2)) var x35 uint64 var x36 uint64 x36, x35 = bits.Mul64(arg1[6], (arg2[6] * 0x2)) var x37 uint64 var x38 uint64 x38, x37 = bits.Mul64(arg1[6], (arg2[5] * 0x2)) var x39 uint64 var x40 uint64 x40, x39 = bits.Mul64(arg1[6], (arg2[4] * 0x2)) var x41 uint64 var x42 uint64 x42, x41 = bits.Mul64(arg1[6], (arg2[3] * 0x2)) var x43 uint64 var x44 uint64 x44, x43 = bits.Mul64(arg1[5], (arg2[8] * 0x2)) var x45 uint64 var x46 uint64 x46, x45 = bits.Mul64(arg1[5], (arg2[7] * 0x2)) var x47 uint64 var x48 uint64 x48, x47 = bits.Mul64(arg1[5], (arg2[6] * 0x2)) var x49 uint64 var x50 uint64 x50, x49 = bits.Mul64(arg1[5], (arg2[5] * 0x2)) var x51 uint64 var x52 uint64 x52, x51 = bits.Mul64(arg1[5], (arg2[4] * 0x2)) var x53 uint64 var x54 uint64 x54, x53 = bits.Mul64(arg1[4], (arg2[8] * 0x2)) var x55 uint64 var x56 uint64 x56, x55 = bits.Mul64(arg1[4], (arg2[7] * 0x2)) var x57 uint64 var x58 uint64 x58, x57 = bits.Mul64(arg1[4], (arg2[6] * 0x2)) var x59 uint64 var x60 uint64 x60, x59 = bits.Mul64(arg1[4], (arg2[5] * 0x2)) var x61 uint64 var x62 uint64 x62, x61 = bits.Mul64(arg1[3], (arg2[8] * 0x2)) var x63 uint64 var x64 uint64 x64, x63 = bits.Mul64(arg1[3], (arg2[7] * 0x2)) var x65 uint64 var x66 uint64 x66, x65 = bits.Mul64(arg1[3], (arg2[6] * 0x2)) var x67 uint64 var x68 uint64 x68, x67 = bits.Mul64(arg1[2], (arg2[8] * 0x2)) var x69 uint64 var x70 uint64 x70, x69 = bits.Mul64(arg1[2], (arg2[7] * 0x2)) var x71 uint64 var x72 uint64 x72, x71 = bits.Mul64(arg1[1], (arg2[8] * 0x2)) var x73 uint64 var x74 uint64 x74, x73 = bits.Mul64(arg1[8], arg2[0]) var x75 uint64 var x76 uint64 x76, x75 = bits.Mul64(arg1[7], arg2[1]) var x77 uint64 var x78 uint64 x78, x77 = bits.Mul64(arg1[7], arg2[0]) var x79 uint64 var x80 uint64 x80, x79 = bits.Mul64(arg1[6], arg2[2]) var x81 uint64 var x82 uint64 x82, x81 = bits.Mul64(arg1[6], arg2[1]) var x83 uint64 var x84 uint64 x84, x83 = bits.Mul64(arg1[6], arg2[0]) var x85 uint64 var x86 uint64 x86, x85 = bits.Mul64(arg1[5], arg2[3]) var x87 uint64 var x88 uint64 x88, x87 = bits.Mul64(arg1[5], arg2[2]) var x89 uint64 var x90 uint64 x90, x89 = bits.Mul64(arg1[5], arg2[1]) var x91 uint64 var x92 uint64 x92, x91 = bits.Mul64(arg1[5], arg2[0]) var x93 uint64 var x94 uint64 x94, x93 = bits.Mul64(arg1[4], arg2[4]) var x95 uint64 var x96 uint64 x96, x95 = bits.Mul64(arg1[4], arg2[3]) var x97 uint64 var x98 uint64 x98, x97 = bits.Mul64(arg1[4], arg2[2]) var x99 uint64 var x100 uint64 x100, x99 = bits.Mul64(arg1[4], arg2[1]) var x101 uint64 var x102 uint64 x102, x101 = bits.Mul64(arg1[4], arg2[0]) var x103 uint64 var x104 uint64 x104, x103 = bits.Mul64(arg1[3], arg2[5]) var x105 uint64 var x106 uint64 x106, x105 = bits.Mul64(arg1[3], arg2[4]) var x107 uint64 var x108 uint64 x108, x107 = bits.Mul64(arg1[3], arg2[3]) var x109 uint64 var x110 uint64 x110, x109 = bits.Mul64(arg1[3], arg2[2]) var x111 uint64 var x112 uint64 x112, x111 = bits.Mul64(arg1[3], arg2[1]) var x113 uint64 var x114 uint64 x114, x113 = bits.Mul64(arg1[3], arg2[0]) var x115 uint64 var x116 uint64 x116, x115 = bits.Mul64(arg1[2], arg2[6]) var x117 uint64 var x118 uint64 x118, x117 = bits.Mul64(arg1[2], arg2[5]) var x119 uint64 var x120 uint64 x120, x119 = bits.Mul64(arg1[2], arg2[4]) var x121 uint64 var x122 uint64 x122, x121 = bits.Mul64(arg1[2], arg2[3]) var x123 uint64 var x124 uint64 x124, x123 = bits.Mul64(arg1[2], arg2[2]) var x125 uint64 var x126 uint64 x126, x125 = bits.Mul64(arg1[2], arg2[1]) var x127 uint64 var x128 uint64 x128, x127 = bits.Mul64(arg1[2], arg2[0]) var x129 uint64 var x130 uint64 x130, x129 = bits.Mul64(arg1[1], arg2[7]) var x131 uint64 var x132 uint64 x132, x131 = bits.Mul64(arg1[1], arg2[6]) var x133 uint64 var x134 uint64 x134, x133 = bits.Mul64(arg1[1], arg2[5]) var x135 uint64 var x136 uint64 x136, x135 = bits.Mul64(arg1[1], arg2[4]) var x137 uint64 var x138 uint64 x138, x137 = bits.Mul64(arg1[1], arg2[3]) var x139 uint64 var x140 uint64 x140, x139 = bits.Mul64(arg1[1], arg2[2]) var x141 uint64 var x142 uint64 x142, x141 = bits.Mul64(arg1[1], arg2[1]) var x143 uint64 var x144 uint64 x144, x143 = bits.Mul64(arg1[1], arg2[0]) var x145 uint64 var x146 uint64 x146, x145 = bits.Mul64(arg1[0], arg2[8]) var x147 uint64 var x148 uint64 x148, x147 = bits.Mul64(arg1[0], arg2[7]) var x149 uint64 var x150 uint64 x150, x149 = bits.Mul64(arg1[0], arg2[6]) var x151 uint64 var x152 uint64 x152, x151 = bits.Mul64(arg1[0], arg2[5]) var x153 uint64 var x154 uint64 x154, x153 = bits.Mul64(arg1[0], arg2[4]) var x155 uint64 var x156 uint64 x156, x155 = bits.Mul64(arg1[0], arg2[3]) var x157 uint64 var x158 uint64 x158, x157 = bits.Mul64(arg1[0], arg2[2]) var x159 uint64 var x160 uint64 x160, x159 = bits.Mul64(arg1[0], arg2[1]) var x161 uint64 var x162 uint64 x162, x161 = bits.Mul64(arg1[0], arg2[0]) var x163 uint64 var x164 p521Uint1 x163, x164 = p521AddcarryxU64(x29, x15, 0x0) var x165 uint64 x165, _ = p521AddcarryxU64(x30, x16, x164) var x167 uint64 var x168 p521Uint1 x167, x168 = p521AddcarryxU64(x41, x163, 0x0) var x169 uint64 x169, _ = p521AddcarryxU64(x42, x165, x168) var x171 uint64 var x172 p521Uint1 x171, x172 = p521AddcarryxU64(x51, x167, 0x0) var x173 uint64 x173, _ = p521AddcarryxU64(x52, x169, x172) var x175 uint64 var x176 p521Uint1 x175, x176 = p521AddcarryxU64(x59, x171, 0x0) var x177 uint64 x177, _ = p521AddcarryxU64(x60, x173, x176) var x179 uint64 var x180 p521Uint1 x179, x180 = p521AddcarryxU64(x65, x175, 0x0) var x181 uint64 x181, _ = p521AddcarryxU64(x66, x177, x180) var x183 uint64 var x184 p521Uint1 x183, x184 = p521AddcarryxU64(x69, x179, 0x0) var x185 uint64 x185, _ = p521AddcarryxU64(x70, x181, x184) var x187 uint64 var x188 p521Uint1 x187, x188 = p521AddcarryxU64(x71, x183, 0x0) var x189 uint64 x189, _ = p521AddcarryxU64(x72, x185, x188) var x191 uint64 var x192 p521Uint1 x191, x192 = p521AddcarryxU64(x161, x187, 0x0) var x193 uint64 x193, _ = p521AddcarryxU64(x162, x189, x192) x195 := ((x191 >> 58) | ((x193 << 6) & 0xffffffffffffffff)) x196 := (x193 >> 58) x197 := (x191 & 0x3ffffffffffffff) var x198 uint64 var x199 p521Uint1 x198, x199 = p521AddcarryxU64(x75, x73, 0x0) var x200 uint64 x200, _ = p521AddcarryxU64(x76, x74, x199) var x202 uint64 var x203 p521Uint1 x202, x203 = p521AddcarryxU64(x79, x198, 0x0) var x204 uint64 x204, _ = p521AddcarryxU64(x80, x200, x203) var x206 uint64 var x207 p521Uint1 x206, x207 = p521AddcarryxU64(x85, x202, 0x0) var x208 uint64 x208, _ = p521AddcarryxU64(x86, x204, x207) var x210 uint64 var x211 p521Uint1 x210, x211 = p521AddcarryxU64(x93, x206, 0x0) var x212 uint64 x212, _ = p521AddcarryxU64(x94, x208, x211) var x214 uint64 var x215 p521Uint1 x214, x215 = p521AddcarryxU64(x103, x210, 0x0) var x216 uint64 x216, _ = p521AddcarryxU64(x104, x212, x215) var x218 uint64 var x219 p521Uint1 x218, x219 = p521AddcarryxU64(x115, x214, 0x0) var x220 uint64 x220, _ = p521AddcarryxU64(x116, x216, x219) var x222 uint64 var x223 p521Uint1 x222, x223 = p521AddcarryxU64(x129, x218, 0x0) var x224 uint64 x224, _ = p521AddcarryxU64(x130, x220, x223) var x226 uint64 var x227 p521Uint1 x226, x227 = p521AddcarryxU64(x145, x222, 0x0) var x228 uint64 x228, _ = p521AddcarryxU64(x146, x224, x227) var x230 uint64 var x231 p521Uint1 x230, x231 = p521AddcarryxU64(x77, x1, 0x0) var x232 uint64 x232, _ = p521AddcarryxU64(x78, x2, x231) var x234 uint64 var x235 p521Uint1 x234, x235 = p521AddcarryxU64(x81, x230, 0x0) var x236 uint64 x236, _ = p521AddcarryxU64(x82, x232, x235) var x238 uint64 var x239 p521Uint1 x238, x239 = p521AddcarryxU64(x87, x234, 0x0) var x240 uint64 x240, _ = p521AddcarryxU64(x88, x236, x239) var x242 uint64 var x243 p521Uint1 x242, x243 = p521AddcarryxU64(x95, x238, 0x0) var x244 uint64 x244, _ = p521AddcarryxU64(x96, x240, x243) var x246 uint64 var x247 p521Uint1 x246, x247 = p521AddcarryxU64(x105, x242, 0x0) var x248 uint64 x248, _ = p521AddcarryxU64(x106, x244, x247) var x250 uint64 var x251 p521Uint1 x250, x251 = p521AddcarryxU64(x117, x246, 0x0) var x252 uint64 x252, _ = p521AddcarryxU64(x118, x248, x251) var x254 uint64 var x255 p521Uint1 x254, x255 = p521AddcarryxU64(x131, x250, 0x0) var x256 uint64 x256, _ = p521AddcarryxU64(x132, x252, x255) var x258 uint64 var x259 p521Uint1 x258, x259 = p521AddcarryxU64(x147, x254, 0x0) var x260 uint64 x260, _ = p521AddcarryxU64(x148, x256, x259) var x262 uint64 var x263 p521Uint1 x262, x263 = p521AddcarryxU64(x17, x3, 0x0) var x264 uint64 x264, _ = p521AddcarryxU64(x18, x4, x263) var x266 uint64 var x267 p521Uint1 x266, x267 = p521AddcarryxU64(x83, x262, 0x0) var x268 uint64 x268, _ = p521AddcarryxU64(x84, x264, x267) var x270 uint64 var x271 p521Uint1 x270, x271 = p521AddcarryxU64(x89, x266, 0x0) var x272 uint64 x272, _ = p521AddcarryxU64(x90, x268, x271) var x274 uint64 var x275 p521Uint1 x274, x275 = p521AddcarryxU64(x97, x270, 0x0) var x276 uint64 x276, _ = p521AddcarryxU64(x98, x272, x275) var x278 uint64 var x279 p521Uint1 x278, x279 = p521AddcarryxU64(x107, x274, 0x0) var x280 uint64 x280, _ = p521AddcarryxU64(x108, x276, x279) var x282 uint64 var x283 p521Uint1 x282, x283 = p521AddcarryxU64(x119, x278, 0x0) var x284 uint64 x284, _ = p521AddcarryxU64(x120, x280, x283) var x286 uint64 var x287 p521Uint1 x286, x287 = p521AddcarryxU64(x133, x282, 0x0) var x288 uint64 x288, _ = p521AddcarryxU64(x134, x284, x287) var x290 uint64 var x291 p521Uint1 x290, x291 = p521AddcarryxU64(x149, x286, 0x0) var x292 uint64 x292, _ = p521AddcarryxU64(x150, x288, x291) var x294 uint64 var x295 p521Uint1 x294, x295 = p521AddcarryxU64(x19, x5, 0x0) var x296 uint64 x296, _ = p521AddcarryxU64(x20, x6, x295) var x298 uint64 var x299 p521Uint1 x298, x299 = p521AddcarryxU64(x31, x294, 0x0) var x300 uint64 x300, _ = p521AddcarryxU64(x32, x296, x299) var x302 uint64 var x303 p521Uint1 x302, x303 = p521AddcarryxU64(x91, x298, 0x0) var x304 uint64 x304, _ = p521AddcarryxU64(x92, x300, x303) var x306 uint64 var x307 p521Uint1 x306, x307 = p521AddcarryxU64(x99, x302, 0x0) var x308 uint64 x308, _ = p521AddcarryxU64(x100, x304, x307) var x310 uint64 var x311 p521Uint1 x310, x311 = p521AddcarryxU64(x109, x306, 0x0) var x312 uint64 x312, _ = p521AddcarryxU64(x110, x308, x311) var x314 uint64 var x315 p521Uint1 x314, x315 = p521AddcarryxU64(x121, x310, 0x0) var x316 uint64 x316, _ = p521AddcarryxU64(x122, x312, x315) var x318 uint64 var x319 p521Uint1 x318, x319 = p521AddcarryxU64(x135, x314, 0x0) var x320 uint64 x320, _ = p521AddcarryxU64(x136, x316, x319) var x322 uint64 var x323 p521Uint1 x322, x323 = p521AddcarryxU64(x151, x318, 0x0) var x324 uint64 x324, _ = p521AddcarryxU64(x152, x320, x323) var x326 uint64 var x327 p521Uint1 x326, x327 = p521AddcarryxU64(x21, x7, 0x0) var x328 uint64 x328, _ = p521AddcarryxU64(x22, x8, x327) var x330 uint64 var x331 p521Uint1 x330, x331 = p521AddcarryxU64(x33, x326, 0x0) var x332 uint64 x332, _ = p521AddcarryxU64(x34, x328, x331) var x334 uint64 var x335 p521Uint1 x334, x335 = p521AddcarryxU64(x43, x330, 0x0) var x336 uint64 x336, _ = p521AddcarryxU64(x44, x332, x335) var x338 uint64 var x339 p521Uint1 x338, x339 = p521AddcarryxU64(x101, x334, 0x0) var x340 uint64 x340, _ = p521AddcarryxU64(x102, x336, x339) var x342 uint64 var x343 p521Uint1 x342, x343 = p521AddcarryxU64(x111, x338, 0x0) var x344 uint64 x344, _ = p521AddcarryxU64(x112, x340, x343) var x346 uint64 var x347 p521Uint1 x346, x347 = p521AddcarryxU64(x123, x342, 0x0) var x348 uint64 x348, _ = p521AddcarryxU64(x124, x344, x347) var x350 uint64 var x351 p521Uint1 x350, x351 = p521AddcarryxU64(x137, x346, 0x0) var x352 uint64 x352, _ = p521AddcarryxU64(x138, x348, x351) var x354 uint64 var x355 p521Uint1 x354, x355 = p521AddcarryxU64(x153, x350, 0x0) var x356 uint64 x356, _ = p521AddcarryxU64(x154, x352, x355) var x358 uint64 var x359 p521Uint1 x358, x359 = p521AddcarryxU64(x23, x9, 0x0) var x360 uint64 x360, _ = p521AddcarryxU64(x24, x10, x359) var x362 uint64 var x363 p521Uint1 x362, x363 = p521AddcarryxU64(x35, x358, 0x0) var x364 uint64 x364, _ = p521AddcarryxU64(x36, x360, x363) var x366 uint64 var x367 p521Uint1 x366, x367 = p521AddcarryxU64(x45, x362, 0x0) var x368 uint64 x368, _ = p521AddcarryxU64(x46, x364, x367) var x370 uint64 var x371 p521Uint1 x370, x371 = p521AddcarryxU64(x53, x366, 0x0) var x372 uint64 x372, _ = p521AddcarryxU64(x54, x368, x371) var x374 uint64 var x375 p521Uint1 x374, x375 = p521AddcarryxU64(x113, x370, 0x0) var x376 uint64 x376, _ = p521AddcarryxU64(x114, x372, x375) var x378 uint64 var x379 p521Uint1 x378, x379 = p521AddcarryxU64(x125, x374, 0x0) var x380 uint64 x380, _ = p521AddcarryxU64(x126, x376, x379) var x382 uint64 var x383 p521Uint1 x382, x383 = p521AddcarryxU64(x139, x378, 0x0) var x384 uint64 x384, _ = p521AddcarryxU64(x140, x380, x383) var x386 uint64 var x387 p521Uint1 x386, x387 = p521AddcarryxU64(x155, x382, 0x0) var x388 uint64 x388, _ = p521AddcarryxU64(x156, x384, x387) var x390 uint64 var x391 p521Uint1 x390, x391 = p521AddcarryxU64(x25, x11, 0x0) var x392 uint64 x392, _ = p521AddcarryxU64(x26, x12, x391) var x394 uint64 var x395 p521Uint1 x394, x395 = p521AddcarryxU64(x37, x390, 0x0) var x396 uint64 x396, _ = p521AddcarryxU64(x38, x392, x395) var x398 uint64 var x399 p521Uint1 x398, x399 = p521AddcarryxU64(x47, x394, 0x0) var x400 uint64 x400, _ = p521AddcarryxU64(x48, x396, x399) var x402 uint64 var x403 p521Uint1 x402, x403 = p521AddcarryxU64(x55, x398, 0x0) var x404 uint64 x404, _ = p521AddcarryxU64(x56, x400, x403) var x406 uint64 var x407 p521Uint1 x406, x407 = p521AddcarryxU64(x61, x402, 0x0) var x408 uint64 x408, _ = p521AddcarryxU64(x62, x404, x407) var x410 uint64 var x411 p521Uint1 x410, x411 = p521AddcarryxU64(x127, x406, 0x0) var x412 uint64 x412, _ = p521AddcarryxU64(x128, x408, x411) var x414 uint64 var x415 p521Uint1 x414, x415 = p521AddcarryxU64(x141, x410, 0x0) var x416 uint64 x416, _ = p521AddcarryxU64(x142, x412, x415) var x418 uint64 var x419 p521Uint1 x418, x419 = p521AddcarryxU64(x157, x414, 0x0) var x420 uint64 x420, _ = p521AddcarryxU64(x158, x416, x419) var x422 uint64 var x423 p521Uint1 x422, x423 = p521AddcarryxU64(x27, x13, 0x0) var x424 uint64 x424, _ = p521AddcarryxU64(x28, x14, x423) var x426 uint64 var x427 p521Uint1 x426, x427 = p521AddcarryxU64(x39, x422, 0x0) var x428 uint64 x428, _ = p521AddcarryxU64(x40, x424, x427) var x430 uint64 var x431 p521Uint1 x430, x431 = p521AddcarryxU64(x49, x426, 0x0) var x432 uint64 x432, _ = p521AddcarryxU64(x50, x428, x431) var x434 uint64 var x435 p521Uint1 x434, x435 = p521AddcarryxU64(x57, x430, 0x0) var x436 uint64 x436, _ = p521AddcarryxU64(x58, x432, x435) var x438 uint64 var x439 p521Uint1 x438, x439 = p521AddcarryxU64(x63, x434, 0x0) var x440 uint64 x440, _ = p521AddcarryxU64(x64, x436, x439) var x442 uint64 var x443 p521Uint1 x442, x443 = p521AddcarryxU64(x67, x438, 0x0) var x444 uint64 x444, _ = p521AddcarryxU64(x68, x440, x443) var x446 uint64 var x447 p521Uint1 x446, x447 = p521AddcarryxU64(x143, x442, 0x0) var x448 uint64 x448, _ = p521AddcarryxU64(x144, x444, x447) var x450 uint64 var x451 p521Uint1 x450, x451 = p521AddcarryxU64(x159, x446, 0x0) var x452 uint64 x452, _ = p521AddcarryxU64(x160, x448, x451) var x454 uint64 var x455 p521Uint1 x454, x455 = p521AddcarryxU64(x195, x450, 0x0) var x456 uint64 x456, _ = p521AddcarryxU64(x196, x452, x455) x458 := ((x454 >> 58) | ((x456 << 6) & 0xffffffffffffffff)) x459 := (x456 >> 58) x460 := (x454 & 0x3ffffffffffffff) var x461 uint64 var x462 p521Uint1 x461, x462 = p521AddcarryxU64(x458, x418, 0x0) var x463 uint64 x463, _ = p521AddcarryxU64(x459, x420, x462) x465 := ((x461 >> 58) | ((x463 << 6) & 0xffffffffffffffff)) x466 := (x463 >> 58) x467 := (x461 & 0x3ffffffffffffff) var x468 uint64 var x469 p521Uint1 x468, x469 = p521AddcarryxU64(x465, x386, 0x0) var x470 uint64 x470, _ = p521AddcarryxU64(x466, x388, x469) x472 := ((x468 >> 58) | ((x470 << 6) & 0xffffffffffffffff)) x473 := (x470 >> 58) x474 := (x468 & 0x3ffffffffffffff) var x475 uint64 var x476 p521Uint1 x475, x476 = p521AddcarryxU64(x472, x354, 0x0) var x477 uint64 x477, _ = p521AddcarryxU64(x473, x356, x476) x479 := ((x475 >> 58) | ((x477 << 6) & 0xffffffffffffffff)) x480 := (x477 >> 58) x481 := (x475 & 0x3ffffffffffffff) var x482 uint64 var x483 p521Uint1 x482, x483 = p521AddcarryxU64(x479, x322, 0x0) var x484 uint64 x484, _ = p521AddcarryxU64(x480, x324, x483) x486 := ((x482 >> 58) | ((x484 << 6) & 0xffffffffffffffff)) x487 := (x484 >> 58) x488 := (x482 & 0x3ffffffffffffff) var x489 uint64 var x490 p521Uint1 x489, x490 = p521AddcarryxU64(x486, x290, 0x0) var x491 uint64 x491, _ = p521AddcarryxU64(x487, x292, x490) x493 := ((x489 >> 58) | ((x491 << 6) & 0xffffffffffffffff)) x494 := (x491 >> 58) x495 := (x489 & 0x3ffffffffffffff) var x496 uint64 var x497 p521Uint1 x496, x497 = p521AddcarryxU64(x493, x258, 0x0) var x498 uint64 x498, _ = p521AddcarryxU64(x494, x260, x497) x500 := ((x496 >> 58) | ((x498 << 6) & 0xffffffffffffffff)) x501 := (x498 >> 58) x502 := (x496 & 0x3ffffffffffffff) var x503 uint64 var x504 p521Uint1 x503, x504 = p521AddcarryxU64(x500, x226, 0x0) var x505 uint64 x505, _ = p521AddcarryxU64(x501, x228, x504) x507 := ((x503 >> 57) | ((x505 << 7) & 0xffffffffffffffff)) x508 := (x505 >> 57) x509 := (x503 & 0x1ffffffffffffff) var x510 uint64 var x511 p521Uint1 x510, x511 = p521AddcarryxU64(x197, x507, 0x0) x512 := (uint64(x511) + x508) x513 := ((x510 >> 58) | ((x512 << 6) & 0xffffffffffffffff)) x514 := (x510 & 0x3ffffffffffffff) x515 := (x513 + x460) x516 := p521Uint1((x515 >> 58)) x517 := (x515 & 0x3ffffffffffffff) x518 := (uint64(x516) + x467) out1[0] = x514 out1[1] = x517 out1[2] = x518 out1[3] = x474 out1[4] = x481 out1[5] = x488 out1[6] = x495 out1[7] = x502 out1[8] = x509 } // p521CarrySquare squares a field element and reduces the result. // // Postconditions: // eval out1 mod m = (eval arg1 * eval arg1) mod m // // Input Bounds: // arg1: [[0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0x600000000000000]] // Output Bounds: // out1: [[0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x200000000000000]] func p521CarrySquare(out1 *[9]uint64, arg1 *[9]uint64) { x1 := arg1[8] x2 := (x1 * 0x2) x3 := (arg1[8] * 0x2) x4 := arg1[7] x5 := (x4 * 0x2) x6 := (arg1[7] * 0x2) x7 := arg1[6] x8 := (x7 * 0x2) x9 := (arg1[6] * 0x2) x10 := arg1[5] x11 := (x10 * 0x2) x12 := (arg1[5] * 0x2) x13 := (arg1[4] * 0x2) x14 := (arg1[3] * 0x2) x15 := (arg1[2] * 0x2) x16 := (arg1[1] * 0x2) var x17 uint64 var x18 uint64 x18, x17 = bits.Mul64(arg1[8], (x1 * 0x2)) var x19 uint64 var x20 uint64 x20, x19 = bits.Mul64(arg1[7], (x2 * 0x2)) var x21 uint64 var x22 uint64 x22, x21 = bits.Mul64(arg1[7], (x4 * 0x2)) var x23 uint64 var x24 uint64 x24, x23 = bits.Mul64(arg1[6], (x2 * 0x2)) var x25 uint64 var x26 uint64 x26, x25 = bits.Mul64(arg1[6], (x5 * 0x2)) var x27 uint64 var x28 uint64 x28, x27 = bits.Mul64(arg1[6], (x7 * 0x2)) var x29 uint64 var x30 uint64 x30, x29 = bits.Mul64(arg1[5], (x2 * 0x2)) var x31 uint64 var x32 uint64 x32, x31 = bits.Mul64(arg1[5], (x5 * 0x2)) var x33 uint64 var x34 uint64 x34, x33 = bits.Mul64(arg1[5], (x8 * 0x2)) var x35 uint64 var x36 uint64 x36, x35 = bits.Mul64(arg1[5], (x10 * 0x2)) var x37 uint64 var x38 uint64 x38, x37 = bits.Mul64(arg1[4], (x2 * 0x2)) var x39 uint64 var x40 uint64 x40, x39 = bits.Mul64(arg1[4], (x5 * 0x2)) var x41 uint64 var x42 uint64 x42, x41 = bits.Mul64(arg1[4], (x8 * 0x2)) var x43 uint64 var x44 uint64 x44, x43 = bits.Mul64(arg1[4], (x11 * 0x2)) var x45 uint64 var x46 uint64 x46, x45 = bits.Mul64(arg1[4], arg1[4]) var x47 uint64 var x48 uint64 x48, x47 = bits.Mul64(arg1[3], (x2 * 0x2)) var x49 uint64 var x50 uint64 x50, x49 = bits.Mul64(arg1[3], (x5 * 0x2)) var x51 uint64 var x52 uint64 x52, x51 = bits.Mul64(arg1[3], (x8 * 0x2)) var x53 uint64 var x54 uint64 x54, x53 = bits.Mul64(arg1[3], x12) var x55 uint64 var x56 uint64 x56, x55 = bits.Mul64(arg1[3], x13) var x57 uint64 var x58 uint64 x58, x57 = bits.Mul64(arg1[3], arg1[3]) var x59 uint64 var x60 uint64 x60, x59 = bits.Mul64(arg1[2], (x2 * 0x2)) var x61 uint64 var x62 uint64 x62, x61 = bits.Mul64(arg1[2], (x5 * 0x2)) var x63 uint64 var x64 uint64 x64, x63 = bits.Mul64(arg1[2], x9) var x65 uint64 var x66 uint64 x66, x65 = bits.Mul64(arg1[2], x12) var x67 uint64 var x68 uint64 x68, x67 = bits.Mul64(arg1[2], x13) var x69 uint64 var x70 uint64 x70, x69 = bits.Mul64(arg1[2], x14) var x71 uint64 var x72 uint64 x72, x71 = bits.Mul64(arg1[2], arg1[2]) var x73 uint64 var x74 uint64 x74, x73 = bits.Mul64(arg1[1], (x2 * 0x2)) var x75 uint64 var x76 uint64 x76, x75 = bits.Mul64(arg1[1], x6) var x77 uint64 var x78 uint64 x78, x77 = bits.Mul64(arg1[1], x9) var x79 uint64 var x80 uint64 x80, x79 = bits.Mul64(arg1[1], x12) var x81 uint64 var x82 uint64 x82, x81 = bits.Mul64(arg1[1], x13) var x83 uint64 var x84 uint64 x84, x83 = bits.Mul64(arg1[1], x14) var x85 uint64 var x86 uint64 x86, x85 = bits.Mul64(arg1[1], x15) var x87 uint64 var x88 uint64 x88, x87 = bits.Mul64(arg1[1], arg1[1]) var x89 uint64 var x90 uint64 x90, x89 = bits.Mul64(arg1[0], x3) var x91 uint64 var x92 uint64 x92, x91 = bits.Mul64(arg1[0], x6) var x93 uint64 var x94 uint64 x94, x93 = bits.Mul64(arg1[0], x9) var x95 uint64 var x96 uint64 x96, x95 = bits.Mul64(arg1[0], x12) var x97 uint64 var x98 uint64 x98, x97 = bits.Mul64(arg1[0], x13) var x99 uint64 var x100 uint64 x100, x99 = bits.Mul64(arg1[0], x14) var x101 uint64 var x102 uint64 x102, x101 = bits.Mul64(arg1[0], x15) var x103 uint64 var x104 uint64 x104, x103 = bits.Mul64(arg1[0], x16) var x105 uint64 var x106 uint64 x106, x105 = bits.Mul64(arg1[0], arg1[0]) var x107 uint64 var x108 p521Uint1 x107, x108 = p521AddcarryxU64(x51, x43, 0x0) var x109 uint64 x109, _ = p521AddcarryxU64(x52, x44, x108) var x111 uint64 var x112 p521Uint1 x111, x112 = p521AddcarryxU64(x61, x107, 0x0) var x113 uint64 x113, _ = p521AddcarryxU64(x62, x109, x112) var x115 uint64 var x116 p521Uint1 x115, x116 = p521AddcarryxU64(x73, x111, 0x0) var x117 uint64 x117, _ = p521AddcarryxU64(x74, x113, x116) var x119 uint64 var x120 p521Uint1 x119, x120 = p521AddcarryxU64(x105, x115, 0x0) var x121 uint64 x121, _ = p521AddcarryxU64(x106, x117, x120) x123 := ((x119 >> 58) | ((x121 << 6) & 0xffffffffffffffff)) x124 := (x121 >> 58) x125 := (x119 & 0x3ffffffffffffff) var x126 uint64 var x127 p521Uint1 x126, x127 = p521AddcarryxU64(x53, x45, 0x0) var x128 uint64 x128, _ = p521AddcarryxU64(x54, x46, x127) var x130 uint64 var x131 p521Uint1 x130, x131 = p521AddcarryxU64(x63, x126, 0x0) var x132 uint64 x132, _ = p521AddcarryxU64(x64, x128, x131) var x134 uint64 var x135 p521Uint1 x134, x135 = p521AddcarryxU64(x75, x130, 0x0) var x136 uint64 x136, _ = p521AddcarryxU64(x76, x132, x135) var x138 uint64 var x139 p521Uint1 x138, x139 = p521AddcarryxU64(x89, x134, 0x0) var x140 uint64 x140, _ = p521AddcarryxU64(x90, x136, x139) var x142 uint64 var x143 p521Uint1 x142, x143 = p521AddcarryxU64(x55, x17, 0x0) var x144 uint64 x144, _ = p521AddcarryxU64(x56, x18, x143) var x146 uint64 var x147 p521Uint1 x146, x147 = p521AddcarryxU64(x65, x142, 0x0) var x148 uint64 x148, _ = p521AddcarryxU64(x66, x144, x147) var x150 uint64 var x151 p521Uint1 x150, x151 = p521AddcarryxU64(x77, x146, 0x0) var x152 uint64 x152, _ = p521AddcarryxU64(x78, x148, x151) var x154 uint64 var x155 p521Uint1 x154, x155 = p521AddcarryxU64(x91, x150, 0x0) var x156 uint64 x156, _ = p521AddcarryxU64(x92, x152, x155) var x158 uint64 var x159 p521Uint1 x158, x159 = p521AddcarryxU64(x57, x19, 0x0) var x160 uint64 x160, _ = p521AddcarryxU64(x58, x20, x159) var x162 uint64 var x163 p521Uint1 x162, x163 = p521AddcarryxU64(x67, x158, 0x0) var x164 uint64 x164, _ = p521AddcarryxU64(x68, x160, x163) var x166 uint64 var x167 p521Uint1 x166, x167 = p521AddcarryxU64(x79, x162, 0x0) var x168 uint64 x168, _ = p521AddcarryxU64(x80, x164, x167) var x170 uint64 var x171 p521Uint1 x170, x171 = p521AddcarryxU64(x93, x166, 0x0) var x172 uint64 x172, _ = p521AddcarryxU64(x94, x168, x171) var x174 uint64 var x175 p521Uint1 x174, x175 = p521AddcarryxU64(x23, x21, 0x0) var x176 uint64 x176, _ = p521AddcarryxU64(x24, x22, x175) var x178 uint64 var x179 p521Uint1 x178, x179 = p521AddcarryxU64(x69, x174, 0x0) var x180 uint64 x180, _ = p521AddcarryxU64(x70, x176, x179) var x182 uint64 var x183 p521Uint1 x182, x183 = p521AddcarryxU64(x81, x178, 0x0) var x184 uint64 x184, _ = p521AddcarryxU64(x82, x180, x183) var x186 uint64 var x187 p521Uint1 x186, x187 = p521AddcarryxU64(x95, x182, 0x0) var x188 uint64 x188, _ = p521AddcarryxU64(x96, x184, x187) var x190 uint64 var x191 p521Uint1 x190, x191 = p521AddcarryxU64(x29, x25, 0x0) var x192 uint64 x192, _ = p521AddcarryxU64(x30, x26, x191) var x194 uint64 var x195 p521Uint1 x194, x195 = p521AddcarryxU64(x71, x190, 0x0) var x196 uint64 x196, _ = p521AddcarryxU64(x72, x192, x195) var x198 uint64 var x199 p521Uint1 x198, x199 = p521AddcarryxU64(x83, x194, 0x0) var x200 uint64 x200, _ = p521AddcarryxU64(x84, x196, x199) var x202 uint64 var x203 p521Uint1 x202, x203 = p521AddcarryxU64(x97, x198, 0x0) var x204 uint64 x204, _ = p521AddcarryxU64(x98, x200, x203) var x206 uint64 var x207 p521Uint1 x206, x207 = p521AddcarryxU64(x31, x27, 0x0) var x208 uint64 x208, _ = p521AddcarryxU64(x32, x28, x207) var x210 uint64 var x211 p521Uint1 x210, x211 = p521AddcarryxU64(x37, x206, 0x0) var x212 uint64 x212, _ = p521AddcarryxU64(x38, x208, x211) var x214 uint64 var x215 p521Uint1 x214, x215 = p521AddcarryxU64(x85, x210, 0x0) var x216 uint64 x216, _ = p521AddcarryxU64(x86, x212, x215) var x218 uint64 var x219 p521Uint1 x218, x219 = p521AddcarryxU64(x99, x214, 0x0) var x220 uint64 x220, _ = p521AddcarryxU64(x100, x216, x219) var x222 uint64 var x223 p521Uint1 x222, x223 = p521AddcarryxU64(x39, x33, 0x0) var x224 uint64 x224, _ = p521AddcarryxU64(x40, x34, x223) var x226 uint64 var x227 p521Uint1 x226, x227 = p521AddcarryxU64(x47, x222, 0x0) var x228 uint64 x228, _ = p521AddcarryxU64(x48, x224, x227) var x230 uint64 var x231 p521Uint1 x230, x231 = p521AddcarryxU64(x87, x226, 0x0) var x232 uint64 x232, _ = p521AddcarryxU64(x88, x228, x231) var x234 uint64 var x235 p521Uint1 x234, x235 = p521AddcarryxU64(x101, x230, 0x0) var x236 uint64 x236, _ = p521AddcarryxU64(x102, x232, x235) var x238 uint64 var x239 p521Uint1 x238, x239 = p521AddcarryxU64(x41, x35, 0x0) var x240 uint64 x240, _ = p521AddcarryxU64(x42, x36, x239) var x242 uint64 var x243 p521Uint1 x242, x243 = p521AddcarryxU64(x49, x238, 0x0) var x244 uint64 x244, _ = p521AddcarryxU64(x50, x240, x243) var x246 uint64 var x247 p521Uint1 x246, x247 = p521AddcarryxU64(x59, x242, 0x0) var x248 uint64 x248, _ = p521AddcarryxU64(x60, x244, x247) var x250 uint64 var x251 p521Uint1 x250, x251 = p521AddcarryxU64(x103, x246, 0x0) var x252 uint64 x252, _ = p521AddcarryxU64(x104, x248, x251) var x254 uint64 var x255 p521Uint1 x254, x255 = p521AddcarryxU64(x123, x250, 0x0) var x256 uint64 x256, _ = p521AddcarryxU64(x124, x252, x255) x258 := ((x254 >> 58) | ((x256 << 6) & 0xffffffffffffffff)) x259 := (x256 >> 58) x260 := (x254 & 0x3ffffffffffffff) var x261 uint64 var x262 p521Uint1 x261, x262 = p521AddcarryxU64(x258, x234, 0x0) var x263 uint64 x263, _ = p521AddcarryxU64(x259, x236, x262) x265 := ((x261 >> 58) | ((x263 << 6) & 0xffffffffffffffff)) x266 := (x263 >> 58) x267 := (x261 & 0x3ffffffffffffff) var x268 uint64 var x269 p521Uint1 x268, x269 = p521AddcarryxU64(x265, x218, 0x0) var x270 uint64 x270, _ = p521AddcarryxU64(x266, x220, x269) x272 := ((x268 >> 58) | ((x270 << 6) & 0xffffffffffffffff)) x273 := (x270 >> 58) x274 := (x268 & 0x3ffffffffffffff) var x275 uint64 var x276 p521Uint1 x275, x276 = p521AddcarryxU64(x272, x202, 0x0) var x277 uint64 x277, _ = p521AddcarryxU64(x273, x204, x276) x279 := ((x275 >> 58) | ((x277 << 6) & 0xffffffffffffffff)) x280 := (x277 >> 58) x281 := (x275 & 0x3ffffffffffffff) var x282 uint64 var x283 p521Uint1 x282, x283 = p521AddcarryxU64(x279, x186, 0x0) var x284 uint64 x284, _ = p521AddcarryxU64(x280, x188, x283) x286 := ((x282 >> 58) | ((x284 << 6) & 0xffffffffffffffff)) x287 := (x284 >> 58) x288 := (x282 & 0x3ffffffffffffff) var x289 uint64 var x290 p521Uint1 x289, x290 = p521AddcarryxU64(x286, x170, 0x0) var x291 uint64 x291, _ = p521AddcarryxU64(x287, x172, x290) x293 := ((x289 >> 58) | ((x291 << 6) & 0xffffffffffffffff)) x294 := (x291 >> 58) x295 := (x289 & 0x3ffffffffffffff) var x296 uint64 var x297 p521Uint1 x296, x297 = p521AddcarryxU64(x293, x154, 0x0) var x298 uint64 x298, _ = p521AddcarryxU64(x294, x156, x297) x300 := ((x296 >> 58) | ((x298 << 6) & 0xffffffffffffffff)) x301 := (x298 >> 58) x302 := (x296 & 0x3ffffffffffffff) var x303 uint64 var x304 p521Uint1 x303, x304 = p521AddcarryxU64(x300, x138, 0x0) var x305 uint64 x305, _ = p521AddcarryxU64(x301, x140, x304) x307 := ((x303 >> 57) | ((x305 << 7) & 0xffffffffffffffff)) x308 := (x305 >> 57) x309 := (x303 & 0x1ffffffffffffff) var x310 uint64 var x311 p521Uint1 x310, x311 = p521AddcarryxU64(x125, x307, 0x0) x312 := (uint64(x311) + x308) x313 := ((x310 >> 58) | ((x312 << 6) & 0xffffffffffffffff)) x314 := (x310 & 0x3ffffffffffffff) x315 := (x313 + x260) x316 := p521Uint1((x315 >> 58)) x317 := (x315 & 0x3ffffffffffffff) x318 := (uint64(x316) + x267) out1[0] = x314 out1[1] = x317 out1[2] = x318 out1[3] = x274 out1[4] = x281 out1[5] = x288 out1[6] = x295 out1[7] = x302 out1[8] = x309 } // p521Carry reduces a field element. // // Postconditions: // eval out1 mod m = eval arg1 mod m // // Input Bounds: // arg1: [[0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0x600000000000000]] // Output Bounds: // out1: [[0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x200000000000000]] func p521Carry(out1 *[9]uint64, arg1 *[9]uint64) { x1 := arg1[0] x2 := ((x1 >> 58) + arg1[1]) x3 := ((x2 >> 58) + arg1[2]) x4 := ((x3 >> 58) + arg1[3]) x5 := ((x4 >> 58) + arg1[4]) x6 := ((x5 >> 58) + arg1[5]) x7 := ((x6 >> 58) + arg1[6]) x8 := ((x7 >> 58) + arg1[7]) x9 := ((x8 >> 58) + arg1[8]) x10 := ((x1 & 0x3ffffffffffffff) + (x9 >> 57)) x11 := (uint64(p521Uint1((x10 >> 58))) + (x2 & 0x3ffffffffffffff)) x12 := (x10 & 0x3ffffffffffffff) x13 := (x11 & 0x3ffffffffffffff) x14 := (uint64(p521Uint1((x11 >> 58))) + (x3 & 0x3ffffffffffffff)) x15 := (x4 & 0x3ffffffffffffff) x16 := (x5 & 0x3ffffffffffffff) x17 := (x6 & 0x3ffffffffffffff) x18 := (x7 & 0x3ffffffffffffff) x19 := (x8 & 0x3ffffffffffffff) x20 := (x9 & 0x1ffffffffffffff) out1[0] = x12 out1[1] = x13 out1[2] = x14 out1[3] = x15 out1[4] = x16 out1[5] = x17 out1[6] = x18 out1[7] = x19 out1[8] = x20 } // p521Add adds two field elements. // // Postconditions: // eval out1 mod m = (eval arg1 + eval arg2) mod m // // Input Bounds: // arg1: [[0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x200000000000000]] // arg2: [[0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x200000000000000]] // Output Bounds: // out1: [[0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0x600000000000000]] func p521Add(out1 *[9]uint64, arg1 *[9]uint64, arg2 *[9]uint64) { x1 := (arg1[0] + arg2[0]) x2 := (arg1[1] + arg2[1]) x3 := (arg1[2] + arg2[2]) x4 := (arg1[3] + arg2[3]) x5 := (arg1[4] + arg2[4]) x6 := (arg1[5] + arg2[5]) x7 := (arg1[6] + arg2[6]) x8 := (arg1[7] + arg2[7]) x9 := (arg1[8] + arg2[8]) out1[0] = x1 out1[1] = x2 out1[2] = x3 out1[3] = x4 out1[4] = x5 out1[5] = x6 out1[6] = x7 out1[7] = x8 out1[8] = x9 } // p521Sub subtracts two field elements. // // Postconditions: // eval out1 mod m = (eval arg1 - eval arg2) mod m // // Input Bounds: // arg1: [[0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x200000000000000]] // arg2: [[0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x200000000000000]] // Output Bounds: // out1: [[0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0x600000000000000]] func p521Sub(out1 *[9]uint64, arg1 *[9]uint64, arg2 *[9]uint64) { x1 := ((0x7fffffffffffffe + arg1[0]) - arg2[0]) x2 := ((0x7fffffffffffffe + arg1[1]) - arg2[1]) x3 := ((0x7fffffffffffffe + arg1[2]) - arg2[2]) x4 := ((0x7fffffffffffffe + arg1[3]) - arg2[3]) x5 := ((0x7fffffffffffffe + arg1[4]) - arg2[4]) x6 := ((0x7fffffffffffffe + arg1[5]) - arg2[5]) x7 := ((0x7fffffffffffffe + arg1[6]) - arg2[6]) x8 := ((0x7fffffffffffffe + arg1[7]) - arg2[7]) x9 := ((0x3fffffffffffffe + arg1[8]) - arg2[8]) out1[0] = x1 out1[1] = x2 out1[2] = x3 out1[3] = x4 out1[4] = x5 out1[5] = x6 out1[6] = x7 out1[7] = x8 out1[8] = x9 } // p521ToBytes serializes a field element to bytes in little-endian order. // // Postconditions: // out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..65] // // Input Bounds: // arg1: [[0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x200000000000000]] // 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], [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], [0x0 ~> 0xff], [0x0 ~> 0x1]] func p521ToBytes(out1 *[66]uint8, arg1 *[9]uint64) { var x1 uint64 var x2 p521Uint1 p521SubborrowxU58(&x1, &x2, 0x0, arg1[0], 0x3ffffffffffffff) var x3 uint64 var x4 p521Uint1 p521SubborrowxU58(&x3, &x4, x2, arg1[1], 0x3ffffffffffffff) var x5 uint64 var x6 p521Uint1 p521SubborrowxU58(&x5, &x6, x4, arg1[2], 0x3ffffffffffffff) var x7 uint64 var x8 p521Uint1 p521SubborrowxU58(&x7, &x8, x6, arg1[3], 0x3ffffffffffffff) var x9 uint64 var x10 p521Uint1 p521SubborrowxU58(&x9, &x10, x8, arg1[4], 0x3ffffffffffffff) var x11 uint64 var x12 p521Uint1 p521SubborrowxU58(&x11, &x12, x10, arg1[5], 0x3ffffffffffffff) var x13 uint64 var x14 p521Uint1 p521SubborrowxU58(&x13, &x14, x12, arg1[6], 0x3ffffffffffffff) var x15 uint64 var x16 p521Uint1 p521SubborrowxU58(&x15, &x16, x14, arg1[7], 0x3ffffffffffffff) var x17 uint64 var x18 p521Uint1 p521SubborrowxU57(&x17, &x18, x16, arg1[8], 0x1ffffffffffffff) var x19 uint64 p521CmovznzU64(&x19, x18, uint64(0x0), 0xffffffffffffffff) var x20 uint64 var x21 p521Uint1 p521AddcarryxU58(&x20, &x21, 0x0, x1, (x19 & 0x3ffffffffffffff)) var x22 uint64 var x23 p521Uint1 p521AddcarryxU58(&x22, &x23, x21, x3, (x19 & 0x3ffffffffffffff)) var x24 uint64 var x25 p521Uint1 p521AddcarryxU58(&x24, &x25, x23, x5, (x19 & 0x3ffffffffffffff)) var x26 uint64 var x27 p521Uint1 p521AddcarryxU58(&x26, &x27, x25, x7, (x19 & 0x3ffffffffffffff)) var x28 uint64 var x29 p521Uint1 p521AddcarryxU58(&x28, &x29, x27, x9, (x19 & 0x3ffffffffffffff)) var x30 uint64 var x31 p521Uint1 p521AddcarryxU58(&x30, &x31, x29, x11, (x19 & 0x3ffffffffffffff)) var x32 uint64 var x33 p521Uint1 p521AddcarryxU58(&x32, &x33, x31, x13, (x19 & 0x3ffffffffffffff)) var x34 uint64 var x35 p521Uint1 p521AddcarryxU58(&x34, &x35, x33, x15, (x19 & 0x3ffffffffffffff)) var x36 uint64 var x37 p521Uint1 p521AddcarryxU57(&x36, &x37, x35, x17, (x19 & 0x1ffffffffffffff)) x38 := (x34 << 6) x39 := (x32 << 4) x40 := (x30 << 2) x41 := (x26 << 6) x42 := (x24 << 4) x43 := (x22 << 2) x44 := (uint8(x20) & 0xff) x45 := (x20 >> 8) x46 := (uint8(x45) & 0xff) x47 := (x45 >> 8) x48 := (uint8(x47) & 0xff) x49 := (x47 >> 8) x50 := (uint8(x49) & 0xff) x51 := (x49 >> 8) x52 := (uint8(x51) & 0xff) x53 := (x51 >> 8) x54 := (uint8(x53) & 0xff) x55 := (x53 >> 8) x56 := (uint8(x55) & 0xff) x57 := uint8((x55 >> 8)) x58 := (x43 + uint64(x57)) x59 := (uint8(x58) & 0xff) x60 := (x58 >> 8) x61 := (uint8(x60) & 0xff) x62 := (x60 >> 8) x63 := (uint8(x62) & 0xff) x64 := (x62 >> 8) x65 := (uint8(x64) & 0xff) x66 := (x64 >> 8) x67 := (uint8(x66) & 0xff) x68 := (x66 >> 8) x69 := (uint8(x68) & 0xff) x70 := (x68 >> 8) x71 := (uint8(x70) & 0xff) x72 := uint8((x70 >> 8)) x73 := (x42 + uint64(x72)) x74 := (uint8(x73) & 0xff) x75 := (x73 >> 8) x76 := (uint8(x75) & 0xff) x77 := (x75 >> 8) x78 := (uint8(x77) & 0xff) x79 := (x77 >> 8) x80 := (uint8(x79) & 0xff) x81 := (x79 >> 8) x82 := (uint8(x81) & 0xff) x83 := (x81 >> 8) x84 := (uint8(x83) & 0xff) x85 := (x83 >> 8) x86 := (uint8(x85) & 0xff) x87 := uint8((x85 >> 8)) x88 := (x41 + uint64(x87)) x89 := (uint8(x88) & 0xff) x90 := (x88 >> 8) x91 := (uint8(x90) & 0xff) x92 := (x90 >> 8) x93 := (uint8(x92) & 0xff) x94 := (x92 >> 8) x95 := (uint8(x94) & 0xff) x96 := (x94 >> 8) x97 := (uint8(x96) & 0xff) x98 := (x96 >> 8) x99 := (uint8(x98) & 0xff) x100 := (x98 >> 8) x101 := (uint8(x100) & 0xff) x102 := uint8((x100 >> 8)) x103 := (uint8(x28) & 0xff) x104 := (x28 >> 8) x105 := (uint8(x104) & 0xff) x106 := (x104 >> 8) x107 := (uint8(x106) & 0xff) x108 := (x106 >> 8) x109 := (uint8(x108) & 0xff) x110 := (x108 >> 8) x111 := (uint8(x110) & 0xff) x112 := (x110 >> 8) x113 := (uint8(x112) & 0xff) x114 := (x112 >> 8) x115 := (uint8(x114) & 0xff) x116 := uint8((x114 >> 8)) x117 := (x40 + uint64(x116)) x118 := (uint8(x117) & 0xff) x119 := (x117 >> 8) x120 := (uint8(x119) & 0xff) x121 := (x119 >> 8) x122 := (uint8(x121) & 0xff) x123 := (x121 >> 8) x124 := (uint8(x123) & 0xff) x125 := (x123 >> 8) x126 := (uint8(x125) & 0xff) x127 := (x125 >> 8) x128 := (uint8(x127) & 0xff) x129 := (x127 >> 8) x130 := (uint8(x129) & 0xff) x131 := uint8((x129 >> 8)) x132 := (x39 + uint64(x131)) x133 := (uint8(x132) & 0xff) x134 := (x132 >> 8) x135 := (uint8(x134) & 0xff) x136 := (x134 >> 8) x137 := (uint8(x136) & 0xff) x138 := (x136 >> 8) x139 := (uint8(x138) & 0xff) x140 := (x138 >> 8) x141 := (uint8(x140) & 0xff) x142 := (x140 >> 8) x143 := (uint8(x142) & 0xff) x144 := (x142 >> 8) x145 := (uint8(x144) & 0xff) x146 := uint8((x144 >> 8)) x147 := (x38 + uint64(x146)) x148 := (uint8(x147) & 0xff) x149 := (x147 >> 8) x150 := (uint8(x149) & 0xff) x151 := (x149 >> 8) x152 := (uint8(x151) & 0xff) x153 := (x151 >> 8) x154 := (uint8(x153) & 0xff) x155 := (x153 >> 8) x156 := (uint8(x155) & 0xff) x157 := (x155 >> 8) x158 := (uint8(x157) & 0xff) x159 := (x157 >> 8) x160 := (uint8(x159) & 0xff) x161 := uint8((x159 >> 8)) x162 := (uint8(x36) & 0xff) x163 := (x36 >> 8) x164 := (uint8(x163) & 0xff) x165 := (x163 >> 8) x166 := (uint8(x165) & 0xff) x167 := (x165 >> 8) x168 := (uint8(x167) & 0xff) x169 := (x167 >> 8) x170 := (uint8(x169) & 0xff) x171 := (x169 >> 8) x172 := (uint8(x171) & 0xff) x173 := (x171 >> 8) x174 := (uint8(x173) & 0xff) x175 := p521Uint1((x173 >> 8)) out1[0] = x44 out1[1] = x46 out1[2] = x48 out1[3] = x50 out1[4] = x52 out1[5] = x54 out1[6] = x56 out1[7] = x59 out1[8] = x61 out1[9] = x63 out1[10] = x65 out1[11] = x67 out1[12] = x69 out1[13] = x71 out1[14] = x74 out1[15] = x76 out1[16] = x78 out1[17] = x80 out1[18] = x82 out1[19] = x84 out1[20] = x86 out1[21] = x89 out1[22] = x91 out1[23] = x93 out1[24] = x95 out1[25] = x97 out1[26] = x99 out1[27] = x101 out1[28] = x102 out1[29] = x103 out1[30] = x105 out1[31] = x107 out1[32] = x109 out1[33] = x111 out1[34] = x113 out1[35] = x115 out1[36] = x118 out1[37] = x120 out1[38] = x122 out1[39] = x124 out1[40] = x126 out1[41] = x128 out1[42] = x130 out1[43] = x133 out1[44] = x135 out1[45] = x137 out1[46] = x139 out1[47] = x141 out1[48] = x143 out1[49] = x145 out1[50] = x148 out1[51] = x150 out1[52] = x152 out1[53] = x154 out1[54] = x156 out1[55] = x158 out1[56] = x160 out1[57] = x161 out1[58] = x162 out1[59] = x164 out1[60] = x166 out1[61] = x168 out1[62] = x170 out1[63] = x172 out1[64] = x174 out1[65] = uint8(x175) } // p521FromBytes deserializes a field element from bytes in little-endian order. // // Postconditions: // eval out1 mod m = bytes_eval arg1 mod 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], [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], [0x0 ~> 0xff], [0x0 ~> 0x1]] // Output Bounds: // out1: [[0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x200000000000000]] func p521FromBytes(out1 *[9]uint64, arg1 *[66]uint8) { x1 := (uint64(p521Uint1(arg1[65])) << 56) x2 := (uint64(arg1[64]) << 48) x3 := (uint64(arg1[63]) << 40) x4 := (uint64(arg1[62]) << 32) x5 := (uint64(arg1[61]) << 24) x6 := (uint64(arg1[60]) << 16) x7 := (uint64(arg1[59]) << 8) x8 := arg1[58] x9 := (uint64(arg1[57]) << 50) x10 := (uint64(arg1[56]) << 42) x11 := (uint64(arg1[55]) << 34) x12 := (uint64(arg1[54]) << 26) x13 := (uint64(arg1[53]) << 18) x14 := (uint64(arg1[52]) << 10) x15 := (uint64(arg1[51]) << 2) x16 := (uint64(arg1[50]) << 52) x17 := (uint64(arg1[49]) << 44) x18 := (uint64(arg1[48]) << 36) x19 := (uint64(arg1[47]) << 28) x20 := (uint64(arg1[46]) << 20) x21 := (uint64(arg1[45]) << 12) x22 := (uint64(arg1[44]) << 4) x23 := (uint64(arg1[43]) << 54) x24 := (uint64(arg1[42]) << 46) x25 := (uint64(arg1[41]) << 38) x26 := (uint64(arg1[40]) << 30) x27 := (uint64(arg1[39]) << 22) x28 := (uint64(arg1[38]) << 14) x29 := (uint64(arg1[37]) << 6) x30 := (uint64(arg1[36]) << 56) x31 := (uint64(arg1[35]) << 48) x32 := (uint64(arg1[34]) << 40) x33 := (uint64(arg1[33]) << 32) x34 := (uint64(arg1[32]) << 24) x35 := (uint64(arg1[31]) << 16) x36 := (uint64(arg1[30]) << 8) x37 := arg1[29] x38 := (uint64(arg1[28]) << 50) x39 := (uint64(arg1[27]) << 42) x40 := (uint64(arg1[26]) << 34) x41 := (uint64(arg1[25]) << 26) x42 := (uint64(arg1[24]) << 18) x43 := (uint64(arg1[23]) << 10) x44 := (uint64(arg1[22]) << 2) x45 := (uint64(arg1[21]) << 52) x46 := (uint64(arg1[20]) << 44) x47 := (uint64(arg1[19]) << 36) x48 := (uint64(arg1[18]) << 28) x49 := (uint64(arg1[17]) << 20) x50 := (uint64(arg1[16]) << 12) x51 := (uint64(arg1[15]) << 4) x52 := (uint64(arg1[14]) << 54) x53 := (uint64(arg1[13]) << 46) x54 := (uint64(arg1[12]) << 38) x55 := (uint64(arg1[11]) << 30) x56 := (uint64(arg1[10]) << 22) x57 := (uint64(arg1[9]) << 14) x58 := (uint64(arg1[8]) << 6) x59 := (uint64(arg1[7]) << 56) x60 := (uint64(arg1[6]) << 48) x61 := (uint64(arg1[5]) << 40) x62 := (uint64(arg1[4]) << 32) x63 := (uint64(arg1[3]) << 24) x64 := (uint64(arg1[2]) << 16) x65 := (uint64(arg1[1]) << 8) x66 := arg1[0] x67 := (x65 + uint64(x66)) x68 := (x64 + x67) x69 := (x63 + x68) x70 := (x62 + x69) x71 := (x61 + x70) x72 := (x60 + x71) x73 := (x59 + x72) x74 := (x73 & 0x3ffffffffffffff) x75 := uint8((x73 >> 58)) x76 := (x58 + uint64(x75)) x77 := (x57 + x76) x78 := (x56 + x77) x79 := (x55 + x78) x80 := (x54 + x79) x81 := (x53 + x80) x82 := (x52 + x81) x83 := (x82 & 0x3ffffffffffffff) x84 := uint8((x82 >> 58)) x85 := (x51 + uint64(x84)) x86 := (x50 + x85) x87 := (x49 + x86) x88 := (x48 + x87) x89 := (x47 + x88) x90 := (x46 + x89) x91 := (x45 + x90) x92 := (x91 & 0x3ffffffffffffff) x93 := uint8((x91 >> 58)) x94 := (x44 + uint64(x93)) x95 := (x43 + x94) x96 := (x42 + x95) x97 := (x41 + x96) x98 := (x40 + x97) x99 := (x39 + x98) x100 := (x38 + x99) x101 := (x36 + uint64(x37)) x102 := (x35 + x101) x103 := (x34 + x102) x104 := (x33 + x103) x105 := (x32 + x104) x106 := (x31 + x105) x107 := (x30 + x106) x108 := (x107 & 0x3ffffffffffffff) x109 := uint8((x107 >> 58)) x110 := (x29 + uint64(x109)) x111 := (x28 + x110) x112 := (x27 + x111) x113 := (x26 + x112) x114 := (x25 + x113) x115 := (x24 + x114) x116 := (x23 + x115) x117 := (x116 & 0x3ffffffffffffff) x118 := uint8((x116 >> 58)) x119 := (x22 + uint64(x118)) x120 := (x21 + x119) x121 := (x20 + x120) x122 := (x19 + x121) x123 := (x18 + x122) x124 := (x17 + x123) x125 := (x16 + x124) x126 := (x125 & 0x3ffffffffffffff) x127 := uint8((x125 >> 58)) x128 := (x15 + uint64(x127)) x129 := (x14 + x128) x130 := (x13 + x129) x131 := (x12 + x130) x132 := (x11 + x131) x133 := (x10 + x132) x134 := (x9 + x133) x135 := (x7 + uint64(x8)) x136 := (x6 + x135) x137 := (x5 + x136) x138 := (x4 + x137) x139 := (x3 + x138) x140 := (x2 + x139) x141 := (x1 + x140) out1[0] = x74 out1[1] = x83 out1[2] = x92 out1[3] = x100 out1[4] = x108 out1[5] = x117 out1[6] = x126 out1[7] = x134 out1[8] = x141 } // p521Selectznz is a multi-limb conditional select. // // Postconditions: // eval out1 = (if arg1 = 0 then eval arg2 else eval arg3) // // Input Bounds: // arg1: [0x0 ~> 0x1] // arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] // arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] // Output Bounds: // out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] func p521Selectznz(out1 *[9]uint64, arg1 p521Uint1, arg2 *[9]uint64, arg3 *[9]uint64) { var x1 uint64 p521CmovznzU64(&x1, arg1, arg2[0], arg3[0]) var x2 uint64 p521CmovznzU64(&x2, arg1, arg2[1], arg3[1]) var x3 uint64 p521CmovznzU64(&x3, arg1, arg2[2], arg3[2]) var x4 uint64 p521CmovznzU64(&x4, arg1, arg2[3], arg3[3]) var x5 uint64 p521CmovznzU64(&x5, arg1, arg2[4], arg3[4]) var x6 uint64 p521CmovznzU64(&x6, arg1, arg2[5], arg3[5]) var x7 uint64 p521CmovznzU64(&x7, arg1, arg2[6], arg3[6]) var x8 uint64 p521CmovznzU64(&x8, arg1, arg2[7], arg3[7]) var x9 uint64 p521CmovznzU64(&x9, arg1, arg2[8], arg3[8]) out1[0] = x1 out1[1] = x2 out1[2] = x3 out1[3] = x4 out1[4] = x5 out1[5] = x6 out1[6] = x7 out1[7] = x8 out1[8] = x9 }