| Quellcodebibliothek Statistik Leitseite products/Sources/formale Sprachen/C/Firefox/security/nss/lib/freebl/ecl/ (Browser von der Mozilla Stiftung Version 136.0.1©) Datei vom 10.2.2025 mit Größe 47 kB |
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Quelle curve25519_32.c Sprache: C |
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// The MIT License (MIT) // // Copyright (c) 2015-2016 the fiat-crypto authors (see the AUTHORS file). // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. /* * Derived from machine-generated code via Fiat-Crypto: * https://github.com/mit-plv/fiat-crypto and https://github.com/briansmith/ring * * The below captures notable changes: * * 1. Convert custom integer types to stdint.h types */ #ifdef FREEBL_NO_DEPEND #include "../stubs.h" #endif #include "ecl-priv.h" /* fe means field element. Here the field is \Z/(2^255-19). An element t, * entries t[0]...t[9], represents the integer t[0]+2^26 t[1]+2^51 t[2]+2^77 * t[3]+2^102 t[4]+...+2^230 t[9]. * fe limbs are bounded by 1.125*2^26,1.125*2^25,1.125*2^26,1.125*2^25,etc. * Multiplication and carrying produce fe from fe_loose. */ typedef struct fe { uint32_t v[10]; } fe; /* fe_loose limbs are bounded by 3.375*2^26,3.375*2^25,3.375*2^26,3.375*2^25,etc * Addition and subtraction produce fe_loose from (fe, fe). */ typedef struct fe_loose { uint32_t v[10]; } fe_loose; #define assert_fe(f) \ do { \ for (unsigned _assert_fe_i = 0; _assert_fe_i < 10; _assert_fe_i++) { \ PORT_Assert(f[_assert_fe_i] <= \ ((_assert_fe_i & 1) ? 0x2333333u : 0x4666666u)); \ } \ } while (0) #define assert_fe_loose(f) \ do { \ for (unsigned _assert_fe_i = 0; _assert_fe_i < 10; _assert_fe_i++) { \ PORT_Assert(f[_assert_fe_i] <= \ ((_assert_fe_i & 1) ? 0x6999999u : 0xd333332u)); \ } \ } while (0) /* * The function fiat_25519_subborrowx_u26 is a subtraction with borrow. * Postconditions: * out1 = (-arg1 + arg2 + -arg3) mod 2^26 * out2 = -⌊(-arg1 + arg2 + -arg3) / 2^26⌋ * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0x3ffffff] * arg3: [0x0 ~> 0x3ffffff] * Output Bounds: * out1: [0x0 ~> 0x3ffffff] * out2: [0x0 ~> 0x1] */ static void fiat_25519_subborrowx_u26(uint32_t *out1, uint8_t *out2, uint8_t arg1, uint32_t arg2, ui { int32_t x1 = ((int32_t)(arg2 - arg1) - (int32_t)arg3); int8_t x2 = (int8_t)(x1 >> 26); uint32_t x3 = (x1 & UINT32_C(0x3ffffff)); *out1 = x3; *out2 = (uint8_t)(0x0 - x2); } /* * The function fiat_25519_subborrowx_u25 is a subtraction with borrow. * Postconditions: * out1 = (-arg1 + arg2 + -arg3) mod 2^25 * out2 = -⌊(-arg1 + arg2 + -arg3) / 2^25⌋ * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0x1ffffff] * arg3: [0x0 ~> 0x1ffffff] * Output Bounds: * out1: [0x0 ~> 0x1ffffff] * out2: [0x0 ~> 0x1] */ static void fiat_25519_subborrowx_u25(uint32_t *out1, uint8_t *out2, uint8_t arg1, uint32_t arg2, ui { int32_t x1 = ((int32_t)(arg2 - arg1) - (int32_t)arg3); int8_t x2 = (int8_t)(x1 >> 25); uint32_t x3 = (x1 & UINT32_C(0x1ffffff)); *out1 = x3; *out2 = (uint8_t)(0x0 - x2); } /* * The function fiat_25519_addcarryx_u26 is an addition with carry. * Postconditions: * out1 = (arg1 + arg2 + arg3) mod 2^26 * out2 = ⌊(arg1 + arg2 + arg3) / 2^26⌋ * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0x3ffffff] * arg3: [0x0 ~> 0x3ffffff] * Output Bounds: * out1: [0x0 ~> 0x3ffffff] * out2: [0x0 ~> 0x1] */ static void fiat_25519_addcarryx_u26(uint32_t *out1, uint8_t *out2, uint8_t arg1, uint32_t arg2, uin { uint32_t x1 = ((arg1 + arg2) + arg3); uint32_t x2 = (x1 & UINT32_C(0x3ffffff)); uint8_t x3 = (uint8_t)(x1 >> 26); *out1 = x2; *out2 = x3; } /* * The function fiat_25519_addcarryx_u25 is an addition with carry. * Postconditions: * out1 = (arg1 + arg2 + arg3) mod 2^25 * out2 = ⌊(arg1 + arg2 + arg3) / 2^25⌋ * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0x1ffffff] * arg3: [0x0 ~> 0x1ffffff] * Output Bounds: * out1: [0x0 ~> 0x1ffffff] * out2: [0x0 ~> 0x1] */ static void fiat_25519_addcarryx_u25(uint32_t *out1, uint8_t *out2, uint8_t arg1, uint32_t arg2, uin { uint32_t x1 = ((arg1 + arg2) + arg3); uint32_t x2 = (x1 & UINT32_C(0x1ffffff)); uint8_t x3 = (uint8_t)(x1 >> 25); *out1 = x2; *out2 = x3; } /* * The function fiat_25519_cmovznz_u32 is a single-word conditional move. * Postconditions: * out1 = (if arg1 = 0 then arg2 else arg3) * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0xffffffff] * arg3: [0x0 ~> 0xffffffff] * Output Bounds: * out1: [0x0 ~> 0xffffffff] */ static void fiat_25519_cmovznz_u32(uint32_t *out1, uint8_t arg1, uint32_t arg2, uint32_t arg3) { uint8_t x1 = (!(!arg1)); uint32_t x2 = ((int8_t)(0x0 - x1) & UINT32_C(0xffffffff)); uint32_t x3 = ((x2 & arg3) | ((~x2) & arg2)); *out1 = x3; } /* * The function fiat_25519_from_bytes deserializes a field element from bytes in little-endi * 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 ~> 0x * Output Bounds: * out1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x46 */ static void fiat_25519_from_bytes(uint32_t out1[10], const uint8_t arg1[32]) { uint32_t x1 = ((uint32_t)(arg1[31]) << 18); uint32_t x2 = ((uint32_t)(arg1[30]) << 10); uint32_t x3 = ((uint32_t)(arg1[29]) << 2); uint32_t x4 = ((uint32_t)(arg1[28]) << 20); uint32_t x5 = ((uint32_t)(arg1[27]) << 12); uint32_t x6 = ((uint32_t)(arg1[26]) << 4); uint32_t x7 = ((uint32_t)(arg1[25]) << 21); uint32_t x8 = ((uint32_t)(arg1[24]) << 13); uint32_t x9 = ((uint32_t)(arg1[23]) << 5); uint32_t x10 = ((uint32_t)(arg1[22]) << 23); uint32_t x11 = ((uint32_t)(arg1[21]) << 15); uint32_t x12 = ((uint32_t)(arg1[20]) << 7); uint32_t x13 = ((uint32_t)(arg1[19]) << 24); uint32_t x14 = ((uint32_t)(arg1[18]) << 16); uint32_t x15 = ((uint32_t)(arg1[17]) << 8); uint8_t x16 = (arg1[16]); uint32_t x17 = ((uint32_t)(arg1[15]) << 18); uint32_t x18 = ((uint32_t)(arg1[14]) << 10); uint32_t x19 = ((uint32_t)(arg1[13]) << 2); uint32_t x20 = ((uint32_t)(arg1[12]) << 19); uint32_t x21 = ((uint32_t)(arg1[11]) << 11); uint32_t x22 = ((uint32_t)(arg1[10]) << 3); uint32_t x23 = ((uint32_t)(arg1[9]) << 21); uint32_t x24 = ((uint32_t)(arg1[8]) << 13); uint32_t x25 = ((uint32_t)(arg1[7]) << 5); uint32_t x26 = ((uint32_t)(arg1[6]) << 22); uint32_t x27 = ((uint32_t)(arg1[5]) << 14); uint32_t x28 = ((uint32_t)(arg1[4]) << 6); uint32_t x29 = ((uint32_t)(arg1[3]) << 24); uint32_t x30 = ((uint32_t)(arg1[2]) << 16); uint32_t x31 = ((uint32_t)(arg1[1]) << 8); uint8_t x32 = (arg1[0]); uint32_t x33 = (x32 + (x31 + (x30 + x29))); uint8_t x34 = (uint8_t)(x33 >> 26); uint32_t x35 = (x33 & UINT32_C(0x3ffffff)); uint32_t x36 = (x3 + (x2 + x1)); uint32_t x37 = (x6 + (x5 + x4)); uint32_t x38 = (x9 + (x8 + x7)); uint32_t x39 = (x12 + (x11 + x10)); uint32_t x40 = (x16 + (x15 + (x14 + x13))); uint32_t x41 = (x19 + (x18 + x17)); uint32_t x42 = (x22 + (x21 + x20)); uint32_t x43 = (x25 + (x24 + x23)); uint32_t x44 = (x28 + (x27 + x26)); uint32_t x45 = (x34 + x44); uint8_t x46 = (uint8_t)(x45 >> 25); uint32_t x47 = (x45 & UINT32_C(0x1ffffff)); uint32_t x48 = (x46 + x43); uint8_t x49 = (uint8_t)(x48 >> 26); uint32_t x50 = (x48 & UINT32_C(0x3ffffff)); uint32_t x51 = (x49 + x42); uint8_t x52 = (uint8_t)(x51 >> 25); uint32_t x53 = (x51 & UINT32_C(0x1ffffff)); uint32_t x54 = (x52 + x41); uint32_t x55 = (x54 & UINT32_C(0x3ffffff)); uint8_t x56 = (uint8_t)(x40 >> 25); uint32_t x57 = (x40 & UINT32_C(0x1ffffff)); uint32_t x58 = (x56 + x39); uint8_t x59 = (uint8_t)(x58 >> 26); uint32_t x60 = (x58 & UINT32_C(0x3ffffff)); uint32_t x61 = (x59 + x38); uint8_t x62 = (uint8_t)(x61 >> 25); uint32_t x63 = (x61 & UINT32_C(0x1ffffff)); uint32_t x64 = (x62 + x37); uint8_t x65 = (uint8_t)(x64 >> 26); uint32_t x66 = (x64 & UINT32_C(0x3ffffff)); uint32_t x67 = (x65 + x36); out1[0] = x35; out1[1] = x47; out1[2] = x50; out1[3] = x53; out1[4] = x55; out1[5] = x57; out1[6] = x60; out1[7] = x63; out1[8] = x66; out1[9] = x67; } static void fe_frombytes_strict(fe *h, const uint8_t s[32]) { // |fiat_25519_from_bytes| requires the top-most bit be clear. PORT_Assert((s[31] & 0x80) == 0); fiat_25519_from_bytes(h->v, s); assert_fe(h->v); } static inline void fe_frombytes(fe *h, const uint8_t *s) { uint8_t s_copy[32]; memcpy(s_copy, s, 32); s_copy[31] &= 0x7f; fe_frombytes_strict(h, s_copy); } /* * The function fiat_25519_to_bytes serializes a field element to bytes in little-endian orde * Postconditions: * out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..31] * * Input Bounds: * arg1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x46 * Output Bounds: * out1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0x */ static void fiat_25519_to_bytes(uint8_t out1[32], const uint32_t arg1[10]) { uint32_t x1; uint8_t x2; fiat_25519_subborrowx_u26(&x1, &x2, 0x0, (arg1[0]), UINT32_C(0x3ffffed)); uint32_t x3; uint8_t x4; fiat_25519_subborrowx_u25(&x3, &x4, x2, (arg1[1]), UINT32_C(0x1ffffff)); uint32_t x5; uint8_t x6; fiat_25519_subborrowx_u26(&x5, &x6, x4, (arg1[2]), UINT32_C(0x3ffffff)); uint32_t x7; uint8_t x8; fiat_25519_subborrowx_u25(&x7, &x8, x6, (arg1[3]), UINT32_C(0x1ffffff)); uint32_t x9; uint8_t x10; fiat_25519_subborrowx_u26(&x9, &x10, x8, (arg1[4]), UINT32_C(0x3ffffff)); uint32_t x11; uint8_t x12; fiat_25519_subborrowx_u25(&x11, &x12, x10, (arg1[5]), UINT32_C(0x1ffffff)); uint32_t x13; uint8_t x14; fiat_25519_subborrowx_u26(&x13, &x14, x12, (arg1[6]), UINT32_C(0x3ffffff)); uint32_t x15; uint8_t x16; fiat_25519_subborrowx_u25(&x15, &x16, x14, (arg1[7]), UINT32_C(0x1ffffff)); uint32_t x17; uint8_t x18; fiat_25519_subborrowx_u26(&x17, &x18, x16, (arg1[8]), UINT32_C(0x3ffffff)); uint32_t x19; uint8_t x20; fiat_25519_subborrowx_u25(&x19, &x20, x18, (arg1[9]), UINT32_C(0x1ffffff)); uint32_t x21; fiat_25519_cmovznz_u32(&x21, x20, 0x0, UINT32_C(0xffffffff)); uint32_t x22; uint8_t x23; fiat_25519_addcarryx_u26(&x22, &x23, 0x0, x1, (x21 & UINT32_C(0x3ffffed))); uint32_t x24; uint8_t x25; fiat_25519_addcarryx_u25(&x24, &x25, x23, x3, (x21 & UINT32_C(0x1ffffff))); uint32_t x26; uint8_t x27; fiat_25519_addcarryx_u26(&x26, &x27, x25, x5, (x21 & UINT32_C(0x3ffffff))); uint32_t x28; uint8_t x29; fiat_25519_addcarryx_u25(&x28, &x29, x27, x7, (x21 & UINT32_C(0x1ffffff))); uint32_t x30; uint8_t x31; fiat_25519_addcarryx_u26(&x30, &x31, x29, x9, (x21 & UINT32_C(0x3ffffff))); uint32_t x32; uint8_t x33; fiat_25519_addcarryx_u25(&x32, &x33, x31, x11, (x21 & UINT32_C(0x1ffffff))); uint32_t x34; uint8_t x35; fiat_25519_addcarryx_u26(&x34, &x35, x33, x13, (x21 & UINT32_C(0x3ffffff))); uint32_t x36; uint8_t x37; fiat_25519_addcarryx_u25(&x36, &x37, x35, x15, (x21 & UINT32_C(0x1ffffff))); uint32_t x38; uint8_t x39; fiat_25519_addcarryx_u26(&x38, &x39, x37, x17, (x21 & UINT32_C(0x3ffffff))); uint32_t x40; uint8_t x41; fiat_25519_addcarryx_u25(&x40, &x41, x39, x19, (x21 & UINT32_C(0x1ffffff))); uint32_t x42 = (x40 << 6); uint32_t x43 = (x38 << 4); uint32_t x44 = (x36 << 3); uint32_t x45 = (x34 * (uint32_t)0x2); uint32_t x46 = (x30 << 6); uint32_t x47 = (x28 << 5); uint32_t x48 = (x26 << 3); uint32_t x49 = (x24 << 2); uint32_t x50 = (x22 >> 8); uint8_t x51 = (uint8_t)(x22 & UINT8_C(0xff)); uint32_t x52 = (x50 >> 8); uint8_t x53 = (uint8_t)(x50 & UINT8_C(0xff)); uint8_t x54 = (uint8_t)(x52 >> 8); uint8_t x55 = (uint8_t)(x52 & UINT8_C(0xff)); uint32_t x56 = (x54 + x49); uint32_t x57 = (x56 >> 8); uint8_t x58 = (uint8_t)(x56 & UINT8_C(0xff)); uint32_t x59 = (x57 >> 8); uint8_t x60 = (uint8_t)(x57 & UINT8_C(0xff)); uint8_t x61 = (uint8_t)(x59 >> 8); uint8_t x62 = (uint8_t)(x59 & UINT8_C(0xff)); uint32_t x63 = (x61 + x48); uint32_t x64 = (x63 >> 8); uint8_t x65 = (uint8_t)(x63 & UINT8_C(0xff)); uint32_t x66 = (x64 >> 8); uint8_t x67 = (uint8_t)(x64 & UINT8_C(0xff)); uint8_t x68 = (uint8_t)(x66 >> 8); uint8_t x69 = (uint8_t)(x66 & UINT8_C(0xff)); uint32_t x70 = (x68 + x47); uint32_t x71 = (x70 >> 8); uint8_t x72 = (uint8_t)(x70 & UINT8_C(0xff)); uint32_t x73 = (x71 >> 8); uint8_t x74 = (uint8_t)(x71 & UINT8_C(0xff)); uint8_t x75 = (uint8_t)(x73 >> 8); uint8_t x76 = (uint8_t)(x73 & UINT8_C(0xff)); uint32_t x77 = (x75 + x46); uint32_t x78 = (x77 >> 8); uint8_t x79 = (uint8_t)(x77 & UINT8_C(0xff)); uint32_t x80 = (x78 >> 8); uint8_t x81 = (uint8_t)(x78 & UINT8_C(0xff)); uint8_t x82 = (uint8_t)(x80 >> 8); uint8_t x83 = (uint8_t)(x80 & UINT8_C(0xff)); uint8_t x84 = (uint8_t)(x82 & UINT8_C(0xff)); uint32_t x85 = (x32 >> 8); uint8_t x86 = (uint8_t)(x32 & UINT8_C(0xff)); uint32_t x87 = (x85 >> 8); uint8_t x88 = (uint8_t)(x85 & UINT8_C(0xff)); uint8_t x89 = (uint8_t)(x87 >> 8); uint8_t x90 = (uint8_t)(x87 & UINT8_C(0xff)); uint32_t x91 = (x89 + x45); uint32_t x92 = (x91 >> 8); uint8_t x93 = (uint8_t)(x91 & UINT8_C(0xff)); uint32_t x94 = (x92 >> 8); uint8_t x95 = (uint8_t)(x92 & UINT8_C(0xff)); uint8_t x96 = (uint8_t)(x94 >> 8); uint8_t x97 = (uint8_t)(x94 & UINT8_C(0xff)); uint32_t x98 = (x96 + x44); uint32_t x99 = (x98 >> 8); uint8_t x100 = (uint8_t)(x98 & UINT8_C(0xff)); uint32_t x101 = (x99 >> 8); uint8_t x102 = (uint8_t)(x99 & UINT8_C(0xff)); uint8_t x103 = (uint8_t)(x101 >> 8); uint8_t x104 = (uint8_t)(x101 & UINT8_C(0xff)); uint32_t x105 = (x103 + x43); uint32_t x106 = (x105 >> 8); uint8_t x107 = (uint8_t)(x105 & UINT8_C(0xff)); uint32_t x108 = (x106 >> 8); uint8_t x109 = (uint8_t)(x106 & UINT8_C(0xff)); uint8_t x110 = (uint8_t)(x108 >> 8); uint8_t x111 = (uint8_t)(x108 & UINT8_C(0xff)); uint32_t x112 = (x110 + x42); uint32_t x113 = (x112 >> 8); uint8_t x114 = (uint8_t)(x112 & UINT8_C(0xff)); uint32_t x115 = (x113 >> 8); uint8_t x116 = (uint8_t)(x113 & UINT8_C(0xff)); uint8_t x117 = (uint8_t)(x115 >> 8); uint8_t x118 = (uint8_t)(x115 & UINT8_C(0xff)); out1[0] = x51; out1[1] = x53; out1[2] = x55; out1[3] = x58; out1[4] = x60; out1[5] = x62; out1[6] = x65; out1[7] = x67; out1[8] = x69; out1[9] = x72; out1[10] = x74; out1[11] = x76; out1[12] = x79; out1[13] = x81; out1[14] = x83; out1[15] = x84; out1[16] = x86; out1[17] = x88; out1[18] = x90; out1[19] = x93; out1[20] = x95; out1[21] = x97; out1[22] = x100; out1[23] = x102; out1[24] = x104; out1[25] = x107; out1[26] = x109; out1[27] = x111; out1[28] = x114; out1[29] = x116; out1[30] = x118; out1[31] = x117; } static inline void fe_tobytes(uint8_t s[32], const fe *f) { assert_fe(f->v); fiat_25519_to_bytes(s, f->v); } /* h = f */ static inline void fe_copy(fe *h, const fe *f) { memmove(h, f, sizeof(fe)); } static inline void fe_copy_lt(fe_loose *h, const fe *f) { PORT_Assert(sizeof(fe) == sizeof(fe_loose)); memmove(h, f, sizeof(fe)); } /* * h = 0 */ static inline void fe_0(fe *h) { memset(h, 0, sizeof(fe)); } /* * h = 1 */ static inline void fe_1(fe *h) { memset(h, 0, sizeof(fe)); h->v[0] = 1; } /* * The function fiat_25519_add adds two field elements. * Postconditions: * eval out1 mod m = (eval arg1 + eval arg2) mod m * * Input Bounds: * arg1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x46 * arg2: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x46 * Output Bounds: * out1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd3 */ static void fiat_25519_add(uint32_t out1[10], const uint32_t arg1[10], const uint32_t arg2[10]) { uint32_t x1 = ((arg1[0]) + (arg2[0])); uint32_t x2 = ((arg1[1]) + (arg2[1])); uint32_t x3 = ((arg1[2]) + (arg2[2])); uint32_t x4 = ((arg1[3]) + (arg2[3])); uint32_t x5 = ((arg1[4]) + (arg2[4])); uint32_t x6 = ((arg1[5]) + (arg2[5])); uint32_t x7 = ((arg1[6]) + (arg2[6])); uint32_t x8 = ((arg1[7]) + (arg2[7])); uint32_t x9 = ((arg1[8]) + (arg2[8])); uint32_t x10 = ((arg1[9]) + (arg2[9])); 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; out1[9] = x10; } /* * Add two field elements. * h = f + g */ static inline void fe_add(fe_loose *h, const fe *f, const fe *g) { assert_fe(f->v); assert_fe(g->v); fiat_25519_add(h->v, f->v, g->v); assert_fe_loose(h->v); } /* * The function fiat_25519_sub subtracts two field elements. * Postconditions: * eval out1 mod m = (eval arg1 - eval arg2) mod m * * Input Bounds: * arg1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x46 * arg2: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x46 * Output Bounds: * out1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd3 */ static void fiat_25519_sub(uint32_t out1[10], const uint32_t arg1[10], const uint32_t arg2[10]) { uint32_t x1 = ((UINT32_C(0x7ffffda) + (arg1[0])) - (arg2[0])); uint32_t x2 = ((UINT32_C(0x3fffffe) + (arg1[1])) - (arg2[1])); uint32_t x3 = ((UINT32_C(0x7fffffe) + (arg1[2])) - (arg2[2])); uint32_t x4 = ((UINT32_C(0x3fffffe) + (arg1[3])) - (arg2[3])); uint32_t x5 = ((UINT32_C(0x7fffffe) + (arg1[4])) - (arg2[4])); uint32_t x6 = ((UINT32_C(0x3fffffe) + (arg1[5])) - (arg2[5])); uint32_t x7 = ((UINT32_C(0x7fffffe) + (arg1[6])) - (arg2[6])); uint32_t x8 = ((UINT32_C(0x3fffffe) + (arg1[7])) - (arg2[7])); uint32_t x9 = ((UINT32_C(0x7fffffe) + (arg1[8])) - (arg2[8])); uint32_t x10 = ((UINT32_C(0x3fffffe) + (arg1[9])) - (arg2[9])); 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; out1[9] = x10; } /* * Subtract two field elements. * h = f - g */ static void fe_sub(fe_loose *h, const fe *f, const fe *g) { assert_fe(f->v); assert_fe(g->v); fiat_25519_sub(h->v, f->v, g->v); assert_fe_loose(h->v); } /* * The function fiat_25519_carry_mul multiplies two field elements and reduces the result. * Postconditions: * eval out1 mod m = (eval arg1 * eval arg2) mod m * * Input Bounds: * arg1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd3 * arg2: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd3 * Output Bounds: * out1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x46 */ static void fiat_25519_carry_mul(uint32_t out1[10], const uint32_t arg1[10], const uint32_t arg2[10 { uint64_t x1 = ((uint64_t)(arg1[9]) * ((arg2[9]) * ((uint32_t)0x2 * UINT8_C(0x13)))); uint64_t x2 = ((uint64_t)(arg1[9]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); uint64_t x3 = ((uint64_t)(arg1[9]) * ((arg2[7]) * ((uint32_t)0x2 * UINT8_C(0x13)))); uint64_t x4 = ((uint64_t)(arg1[9]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13))); uint64_t x5 = ((uint64_t)(arg1[9]) * ((arg2[5]) * ((uint32_t)0x2 * UINT8_C(0x13)))); uint64_t x6 = ((uint64_t)(arg1[9]) * ((arg2[4]) * (uint32_t)UINT8_C(0x13))); uint64_t x7 = ((uint64_t)(arg1[9]) * ((arg2[3]) * ((uint32_t)0x2 * UINT8_C(0x13)))); uint64_t x8 = ((uint64_t)(arg1[9]) * ((arg2[2]) * (uint32_t)UINT8_C(0x13))); uint64_t x9 = ((uint64_t)(arg1[9]) * ((arg2[1]) * ((uint32_t)0x2 * UINT8_C(0x13)))); uint64_t x10 = ((uint64_t)(arg1[8]) * ((arg2[9]) * (uint32_t)UINT8_C(0x13))); uint64_t x11 = ((uint64_t)(arg1[8]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); uint64_t x12 = ((uint64_t)(arg1[8]) * ((arg2[7]) * (uint32_t)UINT8_C(0x13))); uint64_t x13 = ((uint64_t)(arg1[8]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13))); uint64_t x14 = ((uint64_t)(arg1[8]) * ((arg2[5]) * (uint32_t)UINT8_C(0x13))); uint64_t x15 = ((uint64_t)(arg1[8]) * ((arg2[4]) * (uint32_t)UINT8_C(0x13))); uint64_t x16 = ((uint64_t)(arg1[8]) * ((arg2[3]) * (uint32_t)UINT8_C(0x13))); uint64_t x17 = ((uint64_t)(arg1[8]) * ((arg2[2]) * (uint32_t)UINT8_C(0x13))); uint64_t x18 = ((uint64_t)(arg1[7]) * ((arg2[9]) * ((uint32_t)0x2 * UINT8_C(0x13)))); uint64_t x19 = ((uint64_t)(arg1[7]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); uint64_t x20 = ((uint64_t)(arg1[7]) * ((arg2[7]) * ((uint32_t)0x2 * UINT8_C(0x13)))); uint64_t x21 = ((uint64_t)(arg1[7]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13))); uint64_t x22 = ((uint64_t)(arg1[7]) * ((arg2[5]) * ((uint32_t)0x2 * UINT8_C(0x13)))); uint64_t x23 = ((uint64_t)(arg1[7]) * ((arg2[4]) * (uint32_t)UINT8_C(0x13))); uint64_t x24 = ((uint64_t)(arg1[7]) * ((arg2[3]) * ((uint32_t)0x2 * UINT8_C(0x13)))); uint64_t x25 = ((uint64_t)(arg1[6]) * ((arg2[9]) * (uint32_t)UINT8_C(0x13))); uint64_t x26 = ((uint64_t)(arg1[6]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); uint64_t x27 = ((uint64_t)(arg1[6]) * ((arg2[7]) * (uint32_t)UINT8_C(0x13))); uint64_t x28 = ((uint64_t)(arg1[6]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13))); uint64_t x29 = ((uint64_t)(arg1[6]) * ((arg2[5]) * (uint32_t)UINT8_C(0x13))); uint64_t x30 = ((uint64_t)(arg1[6]) * ((arg2[4]) * (uint32_t)UINT8_C(0x13))); uint64_t x31 = ((uint64_t)(arg1[5]) * ((arg2[9]) * ((uint32_t)0x2 * UINT8_C(0x13)))); uint64_t x32 = ((uint64_t)(arg1[5]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); uint64_t x33 = ((uint64_t)(arg1[5]) * ((arg2[7]) * ((uint32_t)0x2 * UINT8_C(0x13)))); uint64_t x34 = ((uint64_t)(arg1[5]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13))); uint64_t x35 = ((uint64_t)(arg1[5]) * ((arg2[5]) * ((uint32_t)0x2 * UINT8_C(0x13)))); uint64_t x36 = ((uint64_t)(arg1[4]) * ((arg2[9]) * (uint32_t)UINT8_C(0x13))); uint64_t x37 = ((uint64_t)(arg1[4]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); uint64_t x38 = ((uint64_t)(arg1[4]) * ((arg2[7]) * (uint32_t)UINT8_C(0x13))); uint64_t x39 = ((uint64_t)(arg1[4]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13))); uint64_t x40 = ((uint64_t)(arg1[3]) * ((arg2[9]) * ((uint32_t)0x2 * UINT8_C(0x13)))); uint64_t x41 = ((uint64_t)(arg1[3]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); uint64_t x42 = ((uint64_t)(arg1[3]) * ((arg2[7]) * ((uint32_t)0x2 * UINT8_C(0x13)))); uint64_t x43 = ((uint64_t)(arg1[2]) * ((arg2[9]) * (uint32_t)UINT8_C(0x13))); uint64_t x44 = ((uint64_t)(arg1[2]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); uint64_t x45 = ((uint64_t)(arg1[1]) * ((arg2[9]) * ((uint32_t)0x2 * UINT8_C(0x13)))); uint64_t x46 = ((uint64_t)(arg1[9]) * (arg2[0])); uint64_t x47 = ((uint64_t)(arg1[8]) * (arg2[1])); uint64_t x48 = ((uint64_t)(arg1[8]) * (arg2[0])); uint64_t x49 = ((uint64_t)(arg1[7]) * (arg2[2])); uint64_t x50 = ((uint64_t)(arg1[7]) * ((arg2[1]) * (uint32_t)0x2)); uint64_t x51 = ((uint64_t)(arg1[7]) * (arg2[0])); uint64_t x52 = ((uint64_t)(arg1[6]) * (arg2[3])); uint64_t x53 = ((uint64_t)(arg1[6]) * (arg2[2])); uint64_t x54 = ((uint64_t)(arg1[6]) * (arg2[1])); uint64_t x55 = ((uint64_t)(arg1[6]) * (arg2[0])); uint64_t x56 = ((uint64_t)(arg1[5]) * (arg2[4])); uint64_t x57 = ((uint64_t)(arg1[5]) * ((arg2[3]) * (uint32_t)0x2)); uint64_t x58 = ((uint64_t)(arg1[5]) * (arg2[2])); uint64_t x59 = ((uint64_t)(arg1[5]) * ((arg2[1]) * (uint32_t)0x2)); uint64_t x60 = ((uint64_t)(arg1[5]) * (arg2[0])); uint64_t x61 = ((uint64_t)(arg1[4]) * (arg2[5])); uint64_t x62 = ((uint64_t)(arg1[4]) * (arg2[4])); uint64_t x63 = ((uint64_t)(arg1[4]) * (arg2[3])); uint64_t x64 = ((uint64_t)(arg1[4]) * (arg2[2])); uint64_t x65 = ((uint64_t)(arg1[4]) * (arg2[1])); uint64_t x66 = ((uint64_t)(arg1[4]) * (arg2[0])); uint64_t x67 = ((uint64_t)(arg1[3]) * (arg2[6])); uint64_t x68 = ((uint64_t)(arg1[3]) * ((arg2[5]) * (uint32_t)0x2)); uint64_t x69 = ((uint64_t)(arg1[3]) * (arg2[4])); uint64_t x70 = ((uint64_t)(arg1[3]) * ((arg2[3]) * (uint32_t)0x2)); uint64_t x71 = ((uint64_t)(arg1[3]) * (arg2[2])); uint64_t x72 = ((uint64_t)(arg1[3]) * ((arg2[1]) * (uint32_t)0x2)); uint64_t x73 = ((uint64_t)(arg1[3]) * (arg2[0])); uint64_t x74 = ((uint64_t)(arg1[2]) * (arg2[7])); uint64_t x75 = ((uint64_t)(arg1[2]) * (arg2[6])); uint64_t x76 = ((uint64_t)(arg1[2]) * (arg2[5])); uint64_t x77 = ((uint64_t)(arg1[2]) * (arg2[4])); uint64_t x78 = ((uint64_t)(arg1[2]) * (arg2[3])); uint64_t x79 = ((uint64_t)(arg1[2]) * (arg2[2])); uint64_t x80 = ((uint64_t)(arg1[2]) * (arg2[1])); uint64_t x81 = ((uint64_t)(arg1[2]) * (arg2[0])); uint64_t x82 = ((uint64_t)(arg1[1]) * (arg2[8])); uint64_t x83 = ((uint64_t)(arg1[1]) * ((arg2[7]) * (uint32_t)0x2)); uint64_t x84 = ((uint64_t)(arg1[1]) * (arg2[6])); uint64_t x85 = ((uint64_t)(arg1[1]) * ((arg2[5]) * (uint32_t)0x2)); uint64_t x86 = ((uint64_t)(arg1[1]) * (arg2[4])); uint64_t x87 = ((uint64_t)(arg1[1]) * ((arg2[3]) * (uint32_t)0x2)); uint64_t x88 = ((uint64_t)(arg1[1]) * (arg2[2])); uint64_t x89 = ((uint64_t)(arg1[1]) * ((arg2[1]) * (uint32_t)0x2)); uint64_t x90 = ((uint64_t)(arg1[1]) * (arg2[0])); uint64_t x91 = ((uint64_t)(arg1[0]) * (arg2[9])); uint64_t x92 = ((uint64_t)(arg1[0]) * (arg2[8])); uint64_t x93 = ((uint64_t)(arg1[0]) * (arg2[7])); uint64_t x94 = ((uint64_t)(arg1[0]) * (arg2[6])); uint64_t x95 = ((uint64_t)(arg1[0]) * (arg2[5])); uint64_t x96 = ((uint64_t)(arg1[0]) * (arg2[4])); uint64_t x97 = ((uint64_t)(arg1[0]) * (arg2[3])); uint64_t x98 = ((uint64_t)(arg1[0]) * (arg2[2])); uint64_t x99 = ((uint64_t)(arg1[0]) * (arg2[1])); uint64_t x100 = ((uint64_t)(arg1[0]) * (arg2[0])); uint64_t x101 = (x100 + (x45 + (x44 + (x42 + (x39 + (x35 + (x30 + (x24 + (x17 + x9))))))))); uint64_t x102 = (x101 >> 26); uint32_t x103 = (uint32_t)(x101 & UINT32_C(0x3ffffff)); uint64_t x104 = (x91 + (x82 + (x74 + (x67 + (x61 + (x56 + (x52 + (x49 + (x47 + x46))))))))); uint64_t x105 = (x92 + (x83 + (x75 + (x68 + (x62 + (x57 + (x53 + (x50 + (x48 + x1))))))))); uint64_t x106 = (x93 + (x84 + (x76 + (x69 + (x63 + (x58 + (x54 + (x51 + (x10 + x2))))))))); uint64_t x107 = (x94 + (x85 + (x77 + (x70 + (x64 + (x59 + (x55 + (x18 + (x11 + x3))))))))); uint64_t x108 = (x95 + (x86 + (x78 + (x71 + (x65 + (x60 + (x25 + (x19 + (x12 + x4))))))))); uint64_t x109 = (x96 + (x87 + (x79 + (x72 + (x66 + (x31 + (x26 + (x20 + (x13 + x5))))))))); uint64_t x110 = (x97 + (x88 + (x80 + (x73 + (x36 + (x32 + (x27 + (x21 + (x14 + x6))))))))); uint64_t x111 = (x98 + (x89 + (x81 + (x40 + (x37 + (x33 + (x28 + (x22 + (x15 + x7))))))))); uint64_t x112 = (x99 + (x90 + (x43 + (x41 + (x38 + (x34 + (x29 + (x23 + (x16 + x8))))))))); uint64_t x113 = (x102 + x112); uint64_t x114 = (x113 >> 25); uint32_t x115 = (uint32_t)(x113 & UINT32_C(0x1ffffff)); uint64_t x116 = (x114 + x111); uint64_t x117 = (x116 >> 26); uint32_t x118 = (uint32_t)(x116 & UINT32_C(0x3ffffff)); uint64_t x119 = (x117 + x110); uint64_t x120 = (x119 >> 25); uint32_t x121 = (uint32_t)(x119 & UINT32_C(0x1ffffff)); uint64_t x122 = (x120 + x109); uint64_t x123 = (x122 >> 26); uint32_t x124 = (uint32_t)(x122 & UINT32_C(0x3ffffff)); uint64_t x125 = (x123 + x108); uint64_t x126 = (x125 >> 25); uint32_t x127 = (uint32_t)(x125 & UINT32_C(0x1ffffff)); uint64_t x128 = (x126 + x107); uint64_t x129 = (x128 >> 26); uint32_t x130 = (uint32_t)(x128 & UINT32_C(0x3ffffff)); uint64_t x131 = (x129 + x106); uint64_t x132 = (x131 >> 25); uint32_t x133 = (uint32_t)(x131 & UINT32_C(0x1ffffff)); uint64_t x134 = (x132 + x105); uint64_t x135 = (x134 >> 26); uint32_t x136 = (uint32_t)(x134 & UINT32_C(0x3ffffff)); uint64_t x137 = (x135 + x104); uint64_t x138 = (x137 >> 25); uint32_t x139 = (uint32_t)(x137 & UINT32_C(0x1ffffff)); uint64_t x140 = (x138 * (uint64_t)UINT8_C(0x13)); uint64_t x141 = (x103 + x140); uint32_t x142 = (uint32_t)(x141 >> 26); uint32_t x143 = (uint32_t)(x141 & UINT32_C(0x3ffffff)); uint32_t x144 = (x142 + x115); uint32_t x145 = (x144 >> 25); uint32_t x146 = (x144 & UINT32_C(0x1ffffff)); uint32_t x147 = (x145 + x118); out1[0] = x143; out1[1] = x146; out1[2] = x147; out1[3] = x121; out1[4] = x124; out1[5] = x127; out1[6] = x130; out1[7] = x133; out1[8] = x136; out1[9] = x139; } static void fe_mul(uint32_t out1[10], const uint32_t arg1[10], const uint32_t arg2[10]) { assert_fe_loose(arg1); assert_fe_loose(arg2); fiat_25519_carry_mul(out1, arg1, arg2); assert_fe(out1); } static void fe_mul_ttt(fe *h, const fe *f, const fe *g) { fe_mul(h->v, f->v, g->v); } static void fe_mul_tlt(fe *h, const fe_loose *f, const fe *g) { fe_mul(h->v, f->v, g->v); } static void fe_mul_tll(fe *h, const fe_loose *f, const fe_loose *g) { fe_mul(h->v, f->v, g->v); } static void fe_sq(uint32_t out[10], const uint32_t in1[10]) { const uint32_t x17 = in1[9]; const uint32_t x18 = in1[8]; const uint32_t x16 = in1[7]; const uint32_t x14 = in1[6]; const uint32_t x12 = in1[5]; const uint32_t x10 = in1[4]; const uint32_t x8 = in1[3]; const uint32_t x6 = in1[2]; const uint32_t x4 = in1[1]; const uint32_t x2 = in1[0]; uint64_t x19 = ((uint64_t)x2 * x2); uint64_t x20 = ((uint64_t)(0x2 * x2) * x4); uint64_t x21 = (0x2 * (((uint64_t)x4 * x4) + ((uint64_t)x2 * x6))); uint64_t x22 = (0x2 * (((uint64_t)x4 * x6) + ((uint64_t)x2 * x8))); uint64_t x23 = ((((uint64_t)x6 * x6) + ((uint64_t)(0x4 * x4) * x8)) + ((uint64_t)(0x2 * x2) * x10 uint64_t x24 = (0x2 * ((((uint64_t)x6 * x8) + ((uint64_t)x4 * x10)) + ((uint64_t)x2 * x12))); uint64_t x25 = (0x2 * (((((uint64_t)x8 * x8) + ((uint64_t)x6 * x10)) + ((uint64_t)x2 * x14)) + (( uint64_t x26 = (0x2 * (((((uint64_t)x8 * x10) + ((uint64_t)x6 * x12)) + ((uint64_t)x4 * x14)) + ( uint64_t x27 = (((uint64_t)x10 * x10) + (0x2 * ((((uint64_t)x6 * x14) + ((uint64_t)x2 * x18)) + ( uint64_t x28 = (0x2 * ((((((uint64_t)x10 * x12) + ((uint64_t)x8 * x14)) + ((uint64_t)x6 * x16)) uint64_t x29 = (0x2 * (((((uint64_t)x12 * x12) + ((uint64_t)x10 * x14)) + ((uint64_t)x6 * x18)) uint64_t x30 = (0x2 * (((((uint64_t)x12 * x14) + ((uint64_t)x10 * x16)) + ((uint64_t)x8 * x18)) uint64_t x31 = (((uint64_t)x14 * x14) + (0x2 * (((uint64_t)x10 * x18) + (0x2 * (((uint64_t)x12 * uint64_t x32 = (0x2 * ((((uint64_t)x14 * x16) + ((uint64_t)x12 * x18)) + ((uint64_t)x10 * x17)) uint64_t x33 = (0x2 * ((((uint64_t)x16 * x16) + ((uint64_t)x14 * x18)) + ((uint64_t)(0x2 * x12) uint64_t x34 = (0x2 * (((uint64_t)x16 * x18) + ((uint64_t)x14 * x17))); uint64_t x35 = (((uint64_t)x18 * x18) + ((uint64_t)(0x4 * x16) * x17)); uint64_t x36 = ((uint64_t)(0x2 * x18) * x17); uint64_t x37 = ((uint64_t)(0x2 * x17) * x17); uint64_t x38 = (x27 + (x37 << 0x4)); uint64_t x39 = (x38 + (x37 << 0x1)); uint64_t x40 = (x39 + x37); uint64_t x41 = (x26 + (x36 << 0x4)); uint64_t x42 = (x41 + (x36 << 0x1)); uint64_t x43 = (x42 + x36); uint64_t x44 = (x25 + (x35 << 0x4)); uint64_t x45 = (x44 + (x35 << 0x1)); uint64_t x46 = (x45 + x35); uint64_t x47 = (x24 + (x34 << 0x4)); uint64_t x48 = (x47 + (x34 << 0x1)); uint64_t x49 = (x48 + x34); uint64_t x50 = (x23 + (x33 << 0x4)); uint64_t x51 = (x50 + (x33 << 0x1)); uint64_t x52 = (x51 + x33); uint64_t x53 = (x22 + (x32 << 0x4)); uint64_t x54 = (x53 + (x32 << 0x1)); uint64_t x55 = (x54 + x32); uint64_t x56 = (x21 + (x31 << 0x4)); uint64_t x57 = (x56 + (x31 << 0x1)); uint64_t x58 = (x57 + x31); uint64_t x59 = (x20 + (x30 << 0x4)); uint64_t x60 = (x59 + (x30 << 0x1)); uint64_t x61 = (x60 + x30); uint64_t x62 = (x19 + (x29 << 0x4)); uint64_t x63 = (x62 + (x29 << 0x1)); uint64_t x64 = (x63 + x29); uint64_t x65 = (x64 >> 0x1a); uint32_t x66 = ((uint32_t)x64 & 0x3ffffff); uint64_t x67 = (x65 + x61); uint64_t x68 = (x67 >> 0x19); uint32_t x69 = ((uint32_t)x67 & 0x1ffffff); uint64_t x70 = (x68 + x58); uint64_t x71 = (x70 >> 0x1a); uint32_t x72 = ((uint32_t)x70 & 0x3ffffff); uint64_t x73 = (x71 + x55); uint64_t x74 = (x73 >> 0x19); uint32_t x75 = ((uint32_t)x73 & 0x1ffffff); uint64_t x76 = (x74 + x52); uint64_t x77 = (x76 >> 0x1a); uint32_t x78 = ((uint32_t)x76 & 0x3ffffff); uint64_t x79 = (x77 + x49); uint64_t x80 = (x79 >> 0x19); uint32_t x81 = ((uint32_t)x79 & 0x1ffffff); uint64_t x82 = (x80 + x46); uint64_t x83 = (x82 >> 0x1a); uint32_t x84 = ((uint32_t)x82 & 0x3ffffff); uint64_t x85 = (x83 + x43); uint64_t x86 = (x85 >> 0x19); uint32_t x87 = ((uint32_t)x85 & 0x1ffffff); uint64_t x88 = (x86 + x40); uint64_t x89 = (x88 >> 0x1a); uint32_t x90 = ((uint32_t)x88 & 0x3ffffff); uint64_t x91 = (x89 + x28); uint64_t x92 = (x91 >> 0x19); uint32_t x93 = ((uint32_t)x91 & 0x1ffffff); uint64_t x94 = (x66 + (0x13 * x92)); uint32_t x95 = (uint32_t)(x94 >> 0x1a); uint32_t x96 = ((uint32_t)x94 & 0x3ffffff); uint32_t x97 = (x95 + x69); uint32_t x98 = (x97 >> 0x19); uint32_t x99 = (x97 & 0x1ffffff); out[0] = x96; out[1] = x99; out[2] = (x98 + x72); out[3] = x75; out[4] = x78; out[5] = x81; out[6] = x84; out[7] = x87; out[8] = x90; out[9] = x93; } static void fe_sq_tl(fe *h, const fe_loose *f) { fe_sq(h->v, f->v); } static void fe_sq_tt(fe *h, const fe *f) { fe_sq(h->v, f->v); } static inline void fe_loose_invert(fe *out, const fe_loose *z) { fe t0, t1, t2, t3; int i; fe_sq_tl(&t0, z); fe_sq_tt(&t1, &t0); for (i = 1; i < 2; ++i) { fe_sq_tt(&t1, &t1); } fe_mul_tlt(&t1, z, &t1); fe_mul_ttt(&t0, &t0, &t1); fe_sq_tt(&t2, &t0); fe_mul_ttt(&t1, &t1, &t2); fe_sq_tt(&t2, &t1); for (i = 1; i < 5; ++i) { fe_sq_tt(&t2, &t2); } fe_mul_ttt(&t1, &t2, &t1); fe_sq_tt(&t2, &t1); for (i = 1; i < 10; ++i) { fe_sq_tt(&t2, &t2); } fe_mul_ttt(&t2, &t2, &t1); fe_sq_tt(&t3, &t2); for (i = 1; i < 20; ++i) { fe_sq_tt(&t3, &t3); } fe_mul_ttt(&t2, &t3, &t2); fe_sq_tt(&t2, &t2); for (i = 1; i < 10; ++i) { fe_sq_tt(&t2, &t2); } fe_mul_ttt(&t1, &t2, &t1); fe_sq_tt(&t2, &t1); for (i = 1; i < 50; ++i) { fe_sq_tt(&t2, &t2); } fe_mul_ttt(&t2, &t2, &t1); fe_sq_tt(&t3, &t2); for (i = 1; i < 100; ++i) { fe_sq_tt(&t3, &t3); } fe_mul_ttt(&t2, &t3, &t2); fe_sq_tt(&t2, &t2); for (i = 1; i < 50; ++i) { fe_sq_tt(&t2, &t2); } fe_mul_ttt(&t1, &t2, &t1); fe_sq_tt(&t1, &t1); for (i = 1; i < 5; ++i) { fe_sq_tt(&t1, &t1); } fe_mul_ttt(out, &t1, &t0); } static inline void fe_invert(fe *out, const fe *z) { fe_loose l; fe_copy_lt(&l, z); fe_loose_invert(out, &l); } /* Replace (f,g) with (g,f) if b == 1; * replace (f,g) with (f,g) if b == 0. * * Preconditions: b in {0,1} */ static inline void fe_cswap(fe *f, fe *g, unsigned int b) { PORT_Assert(b < 2); unsigned int i; b = 0 - b; for (i = 0; i < 10; i++) { uint32_t x = f->v[i] ^ g->v[i]; x &= b; f->v[i] ^= x; g->v[i] ^= x; } } /* NOTE: based on fiat-crypto fe_mul, edited for in2=121666, 0, 0.*/ static inline void fe_mul_121666(uint32_t out[10], const uint32_t in1[10]) { const uint32_t x20 = in1[9]; const uint32_t x21 = in1[8]; const uint32_t x19 = in1[7]; const uint32_t x17 = in1[6]; const uint32_t x15 = in1[5]; const uint32_t x13 = in1[4]; const uint32_t x11 = in1[3]; const uint32_t x9 = in1[2]; const uint32_t x7 = in1[1]; const uint32_t x5 = in1[0]; const uint32_t x38 = 0; const uint32_t x39 = 0; const uint32_t x37 = 0; const uint32_t x35 = 0; const uint32_t x33 = 0; const uint32_t x31 = 0; const uint32_t x29 = 0; const uint32_t x27 = 0; const uint32_t x25 = 0; const uint32_t x23 = 121666; uint64_t x40 = ((uint64_t)x23 * x5); uint64_t x41 = (((uint64_t)x23 * x7) + ((uint64_t)x25 * x5)); uint64_t x42 = ((((uint64_t)(0x2 * x25) * x7) + ((uint64_t)x23 * x9)) + ((uint64_t)x27 * x5)); uint64_t x43 = (((((uint64_t)x25 * x9) + ((uint64_t)x27 * x7)) + ((uint64_t)x23 * x11)) + ((uin uint64_t x44 = (((((uint64_t)x27 * x9) + (0x2 * (((uint64_t)x25 * x11) + ((uint64_t)x29 * x7))) uint64_t x45 = (((((((uint64_t)x27 * x11) + ((uint64_t)x29 * x9)) + ((uint64_t)x25 * x13)) + (( uint64_t x46 = (((((0x2 * ((((uint64_t)x29 * x11) + ((uint64_t)x25 * x15)) + ((uint64_t)x33 * x uint64_t x47 = (((((((((uint64_t)x29 * x13) + ((uint64_t)x31 * x11)) + ((uint64_t)x27 * x15)) uint64_t x48 = (((((((uint64_t)x31 * x13) + (0x2 * (((((uint64_t)x29 * x15) + ((uint64_t)x33 * uint64_t x49 = (((((((((((uint64_t)x31 * x15) + ((uint64_t)x33 * x13)) + ((uint64_t)x29 * x17 uint64_t x50 = (((((0x2 * ((((((uint64_t)x33 * x15) + ((uint64_t)x29 * x19)) + ((uint64_t)x37 uint64_t x51 = (((((((((uint64_t)x33 * x17) + ((uint64_t)x35 * x15)) + ((uint64_t)x31 * x19)) uint64_t x52 = (((((uint64_t)x35 * x17) + (0x2 * (((((uint64_t)x33 * x19) + ((uint64_t)x37 * x1 uint64_t x53 = (((((((uint64_t)x35 * x19) + ((uint64_t)x37 * x17)) + ((uint64_t)x33 * x21)) + ( uint64_t x54 = (((0x2 * ((((uint64_t)x37 * x19) + ((uint64_t)x33 * x20)) + ((uint64_t)x38 * x15 uint64_t x55 = (((((uint64_t)x37 * x21) + ((uint64_t)x39 * x19)) + ((uint64_t)x35 * x20)) + ((u uint64_t x56 = (((uint64_t)x39 * x21) + (0x2 * (((uint64_t)x37 * x20) + ((uint64_t)x38 * x19))) uint64_t x57 = (((uint64_t)x39 * x20) + ((uint64_t)x38 * x21)); uint64_t x58 = ((uint64_t)(0x2 * x38) * x20); uint64_t x59 = (x48 + (x58 << 0x4)); uint64_t x60 = (x59 + (x58 << 0x1)); uint64_t x61 = (x60 + x58); uint64_t x62 = (x47 + (x57 << 0x4)); uint64_t x63 = (x62 + (x57 << 0x1)); uint64_t x64 = (x63 + x57); uint64_t x65 = (x46 + (x56 << 0x4)); uint64_t x66 = (x65 + (x56 << 0x1)); uint64_t x67 = (x66 + x56); uint64_t x68 = (x45 + (x55 << 0x4)); uint64_t x69 = (x68 + (x55 << 0x1)); uint64_t x70 = (x69 + x55); uint64_t x71 = (x44 + (x54 << 0x4)); uint64_t x72 = (x71 + (x54 << 0x1)); uint64_t x73 = (x72 + x54); uint64_t x74 = (x43 + (x53 << 0x4)); uint64_t x75 = (x74 + (x53 << 0x1)); uint64_t x76 = (x75 + x53); uint64_t x77 = (x42 + (x52 << 0x4)); uint64_t x78 = (x77 + (x52 << 0x1)); uint64_t x79 = (x78 + x52); uint64_t x80 = (x41 + (x51 << 0x4)); uint64_t x81 = (x80 + (x51 << 0x1)); uint64_t x82 = (x81 + x51); uint64_t x83 = (x40 + (x50 << 0x4)); uint64_t x84 = (x83 + (x50 << 0x1)); uint64_t x85 = (x84 + x50); uint64_t x86 = (x85 >> 0x1a); uint32_t x87 = ((uint32_t)x85 & 0x3ffffff); uint64_t x88 = (x86 + x82); uint64_t x89 = (x88 >> 0x19); uint32_t x90 = ((uint32_t)x88 & 0x1ffffff); uint64_t x91 = (x89 + x79); uint64_t x92 = (x91 >> 0x1a); uint32_t x93 = ((uint32_t)x91 & 0x3ffffff); uint64_t x94 = (x92 + x76); uint64_t x95 = (x94 >> 0x19); uint32_t x96 = ((uint32_t)x94 & 0x1ffffff); uint64_t x97 = (x95 + x73); uint64_t x98 = (x97 >> 0x1a); uint32_t x99 = ((uint32_t)x97 & 0x3ffffff); uint64_t x100 = (x98 + x70); uint64_t x101 = (x100 >> 0x19); uint32_t x102 = ((uint32_t)x100 & 0x1ffffff); uint64_t x103 = (x101 + x67); uint64_t x104 = (x103 >> 0x1a); uint32_t x105 = ((uint32_t)x103 & 0x3ffffff); uint64_t x106 = (x104 + x64); uint64_t x107 = (x106 >> 0x19); uint32_t x108 = ((uint32_t)x106 & 0x1ffffff); uint64_t x109 = (x107 + x61); uint64_t x110 = (x109 >> 0x1a); uint32_t x111 = ((uint32_t)x109 & 0x3ffffff); uint64_t x112 = (x110 + x49); uint64_t x113 = (x112 >> 0x19); uint32_t x114 = ((uint32_t)x112 & 0x1ffffff); uint64_t x115 = (x87 + (0x13 * x113)); uint32_t x116 = (uint32_t)(x115 >> 0x1a); uint32_t x117 = ((uint32_t)x115 & 0x3ffffff); uint32_t x118 = (x116 + x90); uint32_t x119 = (x118 >> 0x19); uint32_t x120 = (x118 & 0x1ffffff); out[0] = x117; out[1] = x120; out[2] = (x119 + x93); out[3] = x96; out[4] = x99; out[5] = x102; out[6] = x105; out[7] = x108; out[8] = x111; out[9] = x114; } static void fe_mul_121666_tl(fe *h, const fe_loose *f) { assert_fe_loose(f->v); fe_mul_121666(h->v, f->v); assert_fe(h->v); } SECStatus ec_Curve25519_mul(PRUint8 *out, const PRUint8 *scalar, const PRUint8 *point) { fe x1, x2, z2, x3, z3, tmp0, tmp1; fe_loose x2l, z2l, x3l, tmp0l, tmp1l; unsigned int swap = 0; unsigned int b; int pos; uint8_t e[32]; memcpy(e, scalar, 32); e[0] &= 0xF8; e[31] &= 0x7F; e[31] |= 0x40; fe_frombytes(&x1, point); fe_1(&x2); fe_0(&z2); fe_copy(&x3, &x1); fe_1(&z3); for (pos = 254; pos >= 0; --pos) { b = e[pos / 8] >> (pos & 7); b &= 1; swap ^= b; fe_cswap(&x2, &x3, swap); fe_cswap(&z2, &z3, swap); swap = b; fe_sub(&tmp0l, &x3, &z3); fe_sub(&tmp1l, &x2, &z2); fe_add(&x2l, &x2, &z2); fe_add(&z2l, &x3, &z3); fe_mul_tll(&z3, &tmp0l, &x2l); fe_mul_tll(&z2, &z2l, &tmp1l); fe_sq_tl(&tmp0, &tmp1l); fe_sq_tl(&tmp1, &x2l); fe_add(&x3l, &z3, &z2); fe_sub(&z2l, &z3, &z2); fe_mul_ttt(&x2, &tmp1, &tmp0); fe_sub(&tmp1l, &tmp1, &tmp0); fe_sq_tl(&z2, &z2l); fe_mul_121666_tl(&z3, &tmp1l); fe_sq_tl(&x3, &x3l); fe_add(&tmp0l, &tmp0, &z3); fe_mul_ttt(&z3, &x1, &z2); fe_mul_tll(&z2, &tmp1l, &tmp0l); } fe_cswap(&x2, &x3, swap); fe_cswap(&z2, &z3, swap); fe_invert(&z2, &z2); fe_mul_ttt(&x2, &x2, &z2); fe_tobytes(out, &x2); memset(x1.v, 0, sizeof(x1)); memset(x2.v, 0, sizeof(x2)); memset(z2.v, 0, sizeof(z2)); memset(x3.v, 0, sizeof(x3)); memset(z3.v, 0, sizeof(z3)); memset(x2l.v, 0, sizeof(x2l)); memset(z2l.v, 0, sizeof(z2l)); memset(x3l.v, 0, sizeof(x3l)); memset(e, 0, sizeof(e)); return 0; }
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2026-04-04