From: Greg Hudson Date: Thu, 17 Apr 2025 02:04:58 +0000 (-0400) Subject: Update edwards25519 fiat code from BoringSSL X-Git-Tag: krb5-1.22-beta1~7 X-Git-Url: http://git.ipfire.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=refs%2Fpull%2F1426%2Fhead;p=thirdparty%2Fkrb5.git Update edwards25519 fiat code from BoringSSL Bring the SPAKE edwards25519_fiat.h up to date with BoringSSL commit 5813c2c10c73d800f1b0d890a7d74ff973abbffc. This update adds value barriers to the conditional move functions, to prevent clang optimizations that would make them not constant-time. Update the path reference comments in edwards25519.c and edwards25519_tables.h, but do not update the code as the upstream license has changed. --- diff --git a/src/plugins/preauth/spake/edwards25519.c b/src/plugins/preauth/spake/edwards25519.c index 20394115b5..77aba12612 100644 --- a/src/plugins/preauth/spake/edwards25519.c +++ b/src/plugins/preauth/spake/edwards25519.c @@ -118,7 +118,7 @@ typedef __int128_t int128_t; typedef __uint128_t uint128_t; #endif -/* From BoringSSL third-party/fiat/internal.h */ +/* From BoringSSL crypto/curve25519/internal.h */ #if defined(BORINGSSL_CURVE25519_64BIT) // fe means field element. Here the field is \Z/(2^255-19). An element t, diff --git a/src/plugins/preauth/spake/edwards25519_fiat.h b/src/plugins/preauth/spake/edwards25519_fiat.h index 48ade9210d..dc4a7ef5f6 100644 --- a/src/plugins/preauth/spake/edwards25519_fiat.h +++ b/src/plugins/preauth/spake/edwards25519_fiat.h @@ -1,21 +1,62 @@ #if defined(BORINGSSL_CURVE25519_64BIT) -/* Autogenerated */ +/* Autogenerated: 'src/ExtractionOCaml/unsaturated_solinas' --inline --static --use-value-barrier 25519 64 '(auto)' '2^255 - 19' carry_mul carry_square carry add sub opp selectznz to_bytes from_bytes relax carry_scmul121666 */ /* curve description: 25519 */ -/* requested operations: carry_mul, carry_square, carry_scmul121666, carry, add, sub, opp, selectznz, to_bytes, from_bytes */ -/* n = 5 (from "5") */ -/* s = 0x8000000000000000000000000000000000000000000000000000000000000000 (from "2^255") */ -/* c = [(1, 19)] (from "1,19") */ /* machine_wordsize = 64 (from "64") */ +/* requested operations: carry_mul, carry_square, carry, add, sub, opp, selectznz, to_bytes, from_bytes, relax, carry_scmul121666 */ +/* n = 5 (from "(auto)") */ +/* s-c = 2^255 - [(1, 19)] (from "2^255 - 19") */ +/* tight_bounds_multiplier = 1 (from "") */ +/* */ +/* Computed values: */ +/* carry_chain = [0, 1, 2, 3, 4, 0, 1] */ +/* eval z = z[0] + (z[1] << 51) + (z[2] << 102) + (z[3] << 153) + (z[4] << 204) */ +/* 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) */ +/* balance = [0xfffffffffffda, 0xffffffffffffe, 0xffffffffffffe, 0xffffffffffffe, 0xffffffffffffe] */ #include typedef unsigned char fiat_25519_uint1; typedef signed char fiat_25519_int1; -typedef int128_t fiat_25519_int128; -typedef uint128_t fiat_25519_uint128; +#if defined(__GNUC__) || defined(__clang__) +# define FIAT_25519_FIAT_EXTENSION __extension__ +# define FIAT_25519_FIAT_INLINE __inline__ +#else +# define FIAT_25519_FIAT_EXTENSION +# define FIAT_25519_FIAT_INLINE +#endif + +FIAT_25519_FIAT_EXTENSION typedef int128_t fiat_25519_int128; +FIAT_25519_FIAT_EXTENSION typedef uint128_t fiat_25519_uint128; + +/* The type fiat_25519_loose_field_element is a field element with loose bounds. */ +/* Bounds: [[0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000]] */ +typedef uint64_t fiat_25519_loose_field_element[5]; + +/* The type fiat_25519_tight_field_element is a field element with tight bounds. */ +/* Bounds: [[0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]] */ +typedef uint64_t fiat_25519_tight_field_element[5]; + +#if (-1 & 3) != 3 +#error "This code only works on a two's complement system" +#endif + +#if !defined(FIAT_25519_NO_ASM) && (defined(__GNUC__) || defined(__clang__)) +static __inline__ uint64_t fiat_25519_value_barrier_u64(uint64_t a) { + __asm__("" : "+r"(a) : /* no inputs */); + return a; +} +#else +# define fiat_25519_value_barrier_u64(x) (x) +#endif /* + * The function fiat_25519_addcarryx_u51 is an addition with carry. + * + * Postconditions: + * out1 = (arg1 + arg2 + arg3) mod 2^51 + * out2 = ⌊(arg1 + arg2 + arg3) / 2^51⌋ + * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0x7ffffffffffff] @@ -24,15 +65,24 @@ typedef uint128_t fiat_25519_uint128; * out1: [0x0 ~> 0x7ffffffffffff] * out2: [0x0 ~> 0x1] */ -static void fiat_25519_addcarryx_u51(uint64_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) { - uint64_t x1 = ((arg1 + arg2) + arg3); - uint64_t x2 = (x1 & UINT64_C(0x7ffffffffffff)); - fiat_25519_uint1 x3 = (fiat_25519_uint1)(x1 >> 51); +static FIAT_25519_FIAT_INLINE void fiat_25519_addcarryx_u51(uint64_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) { + uint64_t x1; + uint64_t x2; + fiat_25519_uint1 x3; + x1 = ((arg1 + arg2) + arg3); + x2 = (x1 & UINT64_C(0x7ffffffffffff)); + x3 = (fiat_25519_uint1)(x1 >> 51); *out1 = x2; *out2 = x3; } /* + * The function fiat_25519_subborrowx_u51 is a subtraction with borrow. + * + * Postconditions: + * out1 = (-arg1 + arg2 + -arg3) mod 2^51 + * out2 = -⌊(-arg1 + arg2 + -arg3) / 2^51⌋ + * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0x7ffffffffffff] @@ -41,15 +91,23 @@ static void fiat_25519_addcarryx_u51(uint64_t* out1, fiat_25519_uint1* out2, fia * out1: [0x0 ~> 0x7ffffffffffff] * out2: [0x0 ~> 0x1] */ -static void fiat_25519_subborrowx_u51(uint64_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) { - int64_t x1 = ((int64_t)(arg2 - (int64_t)arg1) - (int64_t)arg3); - fiat_25519_int1 x2 = (fiat_25519_int1)(x1 >> 51); - uint64_t x3 = (x1 & UINT64_C(0x7ffffffffffff)); +static FIAT_25519_FIAT_INLINE void fiat_25519_subborrowx_u51(uint64_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) { + int64_t x1; + fiat_25519_int1 x2; + uint64_t x3; + x1 = ((int64_t)(arg2 - (int64_t)arg1) - (int64_t)arg3); + x2 = (fiat_25519_int1)(x1 >> 51); + x3 = (x1 & UINT64_C(0x7ffffffffffff)); *out1 = x3; *out2 = (fiat_25519_uint1)(0x0 - x2); } /* + * The function fiat_25519_cmovznz_u64 is a single-word conditional move. + * + * Postconditions: + * out1 = (if arg1 = 0 then arg2 else arg3) + * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0xffffffffffffffff] @@ -57,73 +115,128 @@ static void fiat_25519_subborrowx_u51(uint64_t* out1, fiat_25519_uint1* out2, fi * Output Bounds: * out1: [0x0 ~> 0xffffffffffffffff] */ -static void fiat_25519_cmovznz_u64(uint64_t* out1, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) { - fiat_25519_uint1 x1 = (!(!arg1)); - uint64_t x2 = ((fiat_25519_int1)(0x0 - x1) & UINT64_C(0xffffffffffffffff)); - uint64_t x3 = ((x2 & arg3) | ((~x2) & arg2)); +static FIAT_25519_FIAT_INLINE void fiat_25519_cmovznz_u64(uint64_t* out1, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) { + fiat_25519_uint1 x1; + uint64_t x2; + uint64_t x3; + x1 = (!(!arg1)); + x2 = ((fiat_25519_int1)(0x0 - x1) & UINT64_C(0xffffffffffffffff)); + x3 = ((fiat_25519_value_barrier_u64(x2) & arg3) | (fiat_25519_value_barrier_u64((~x2)) & arg2)); *out1 = x3; } /* - * Input Bounds: - * arg1: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]] - * arg2: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]] - * Output Bounds: - * out1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]] + * 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 + * */ -static void fiat_25519_carry_mul(uint64_t out1[5], const uint64_t arg1[5], const uint64_t arg2[5]) { - fiat_25519_uint128 x1 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[4]) * (uint64_t)UINT8_C(0x13))); - fiat_25519_uint128 x2 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[3]) * (uint64_t)UINT8_C(0x13))); - fiat_25519_uint128 x3 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[2]) * (uint64_t)UINT8_C(0x13))); - fiat_25519_uint128 x4 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[1]) * (uint64_t)UINT8_C(0x13))); - fiat_25519_uint128 x5 = ((fiat_25519_uint128)(arg1[3]) * ((arg2[4]) * (uint64_t)UINT8_C(0x13))); - fiat_25519_uint128 x6 = ((fiat_25519_uint128)(arg1[3]) * ((arg2[3]) * (uint64_t)UINT8_C(0x13))); - fiat_25519_uint128 x7 = ((fiat_25519_uint128)(arg1[3]) * ((arg2[2]) * (uint64_t)UINT8_C(0x13))); - fiat_25519_uint128 x8 = ((fiat_25519_uint128)(arg1[2]) * ((arg2[4]) * (uint64_t)UINT8_C(0x13))); - fiat_25519_uint128 x9 = ((fiat_25519_uint128)(arg1[2]) * ((arg2[3]) * (uint64_t)UINT8_C(0x13))); - fiat_25519_uint128 x10 = ((fiat_25519_uint128)(arg1[1]) * ((arg2[4]) * (uint64_t)UINT8_C(0x13))); - fiat_25519_uint128 x11 = ((fiat_25519_uint128)(arg1[4]) * (arg2[0])); - fiat_25519_uint128 x12 = ((fiat_25519_uint128)(arg1[3]) * (arg2[1])); - fiat_25519_uint128 x13 = ((fiat_25519_uint128)(arg1[3]) * (arg2[0])); - fiat_25519_uint128 x14 = ((fiat_25519_uint128)(arg1[2]) * (arg2[2])); - fiat_25519_uint128 x15 = ((fiat_25519_uint128)(arg1[2]) * (arg2[1])); - fiat_25519_uint128 x16 = ((fiat_25519_uint128)(arg1[2]) * (arg2[0])); - fiat_25519_uint128 x17 = ((fiat_25519_uint128)(arg1[1]) * (arg2[3])); - fiat_25519_uint128 x18 = ((fiat_25519_uint128)(arg1[1]) * (arg2[2])); - fiat_25519_uint128 x19 = ((fiat_25519_uint128)(arg1[1]) * (arg2[1])); - fiat_25519_uint128 x20 = ((fiat_25519_uint128)(arg1[1]) * (arg2[0])); - fiat_25519_uint128 x21 = ((fiat_25519_uint128)(arg1[0]) * (arg2[4])); - fiat_25519_uint128 x22 = ((fiat_25519_uint128)(arg1[0]) * (arg2[3])); - fiat_25519_uint128 x23 = ((fiat_25519_uint128)(arg1[0]) * (arg2[2])); - fiat_25519_uint128 x24 = ((fiat_25519_uint128)(arg1[0]) * (arg2[1])); - fiat_25519_uint128 x25 = ((fiat_25519_uint128)(arg1[0]) * (arg2[0])); - fiat_25519_uint128 x26 = (x25 + (x10 + (x9 + (x7 + x4)))); - uint64_t x27 = (uint64_t)(x26 >> 51); - uint64_t x28 = (uint64_t)(x26 & UINT64_C(0x7ffffffffffff)); - fiat_25519_uint128 x29 = (x21 + (x17 + (x14 + (x12 + x11)))); - fiat_25519_uint128 x30 = (x22 + (x18 + (x15 + (x13 + x1)))); - fiat_25519_uint128 x31 = (x23 + (x19 + (x16 + (x5 + x2)))); - fiat_25519_uint128 x32 = (x24 + (x20 + (x8 + (x6 + x3)))); - fiat_25519_uint128 x33 = (x27 + x32); - uint64_t x34 = (uint64_t)(x33 >> 51); - uint64_t x35 = (uint64_t)(x33 & UINT64_C(0x7ffffffffffff)); - fiat_25519_uint128 x36 = (x34 + x31); - uint64_t x37 = (uint64_t)(x36 >> 51); - uint64_t x38 = (uint64_t)(x36 & UINT64_C(0x7ffffffffffff)); - fiat_25519_uint128 x39 = (x37 + x30); - uint64_t x40 = (uint64_t)(x39 >> 51); - uint64_t x41 = (uint64_t)(x39 & UINT64_C(0x7ffffffffffff)); - fiat_25519_uint128 x42 = (x40 + x29); - uint64_t x43 = (uint64_t)(x42 >> 51); - uint64_t x44 = (uint64_t)(x42 & UINT64_C(0x7ffffffffffff)); - uint64_t x45 = (x43 * (uint64_t)UINT8_C(0x13)); - uint64_t x46 = (x28 + x45); - uint64_t x47 = (x46 >> 51); - uint64_t x48 = (x46 & UINT64_C(0x7ffffffffffff)); - uint64_t x49 = (x47 + x35); - uint64_t x50 = (x49 >> 51); - uint64_t x51 = (x49 & UINT64_C(0x7ffffffffffff)); - uint64_t x52 = (x50 + x38); +static FIAT_25519_FIAT_INLINE void fiat_25519_carry_mul(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1, const fiat_25519_loose_field_element arg2) { + fiat_25519_uint128 x1; + fiat_25519_uint128 x2; + fiat_25519_uint128 x3; + fiat_25519_uint128 x4; + fiat_25519_uint128 x5; + fiat_25519_uint128 x6; + fiat_25519_uint128 x7; + fiat_25519_uint128 x8; + fiat_25519_uint128 x9; + fiat_25519_uint128 x10; + fiat_25519_uint128 x11; + fiat_25519_uint128 x12; + fiat_25519_uint128 x13; + fiat_25519_uint128 x14; + fiat_25519_uint128 x15; + fiat_25519_uint128 x16; + fiat_25519_uint128 x17; + fiat_25519_uint128 x18; + fiat_25519_uint128 x19; + fiat_25519_uint128 x20; + fiat_25519_uint128 x21; + fiat_25519_uint128 x22; + fiat_25519_uint128 x23; + fiat_25519_uint128 x24; + fiat_25519_uint128 x25; + fiat_25519_uint128 x26; + uint64_t x27; + uint64_t x28; + fiat_25519_uint128 x29; + fiat_25519_uint128 x30; + fiat_25519_uint128 x31; + fiat_25519_uint128 x32; + fiat_25519_uint128 x33; + uint64_t x34; + uint64_t x35; + fiat_25519_uint128 x36; + uint64_t x37; + uint64_t x38; + fiat_25519_uint128 x39; + uint64_t x40; + uint64_t x41; + fiat_25519_uint128 x42; + uint64_t x43; + uint64_t x44; + uint64_t x45; + uint64_t x46; + uint64_t x47; + uint64_t x48; + uint64_t x49; + fiat_25519_uint1 x50; + uint64_t x51; + uint64_t x52; + x1 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[4]) * UINT8_C(0x13))); + x2 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[3]) * UINT8_C(0x13))); + x3 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[2]) * UINT8_C(0x13))); + x4 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[1]) * UINT8_C(0x13))); + x5 = ((fiat_25519_uint128)(arg1[3]) * ((arg2[4]) * UINT8_C(0x13))); + x6 = ((fiat_25519_uint128)(arg1[3]) * ((arg2[3]) * UINT8_C(0x13))); + x7 = ((fiat_25519_uint128)(arg1[3]) * ((arg2[2]) * UINT8_C(0x13))); + x8 = ((fiat_25519_uint128)(arg1[2]) * ((arg2[4]) * UINT8_C(0x13))); + x9 = ((fiat_25519_uint128)(arg1[2]) * ((arg2[3]) * UINT8_C(0x13))); + x10 = ((fiat_25519_uint128)(arg1[1]) * ((arg2[4]) * UINT8_C(0x13))); + x11 = ((fiat_25519_uint128)(arg1[4]) * (arg2[0])); + x12 = ((fiat_25519_uint128)(arg1[3]) * (arg2[1])); + x13 = ((fiat_25519_uint128)(arg1[3]) * (arg2[0])); + x14 = ((fiat_25519_uint128)(arg1[2]) * (arg2[2])); + x15 = ((fiat_25519_uint128)(arg1[2]) * (arg2[1])); + x16 = ((fiat_25519_uint128)(arg1[2]) * (arg2[0])); + x17 = ((fiat_25519_uint128)(arg1[1]) * (arg2[3])); + x18 = ((fiat_25519_uint128)(arg1[1]) * (arg2[2])); + x19 = ((fiat_25519_uint128)(arg1[1]) * (arg2[1])); + x20 = ((fiat_25519_uint128)(arg1[1]) * (arg2[0])); + x21 = ((fiat_25519_uint128)(arg1[0]) * (arg2[4])); + x22 = ((fiat_25519_uint128)(arg1[0]) * (arg2[3])); + x23 = ((fiat_25519_uint128)(arg1[0]) * (arg2[2])); + x24 = ((fiat_25519_uint128)(arg1[0]) * (arg2[1])); + x25 = ((fiat_25519_uint128)(arg1[0]) * (arg2[0])); + x26 = (x25 + (x10 + (x9 + (x7 + x4)))); + x27 = (uint64_t)(x26 >> 51); + x28 = (uint64_t)(x26 & UINT64_C(0x7ffffffffffff)); + x29 = (x21 + (x17 + (x14 + (x12 + x11)))); + x30 = (x22 + (x18 + (x15 + (x13 + x1)))); + x31 = (x23 + (x19 + (x16 + (x5 + x2)))); + x32 = (x24 + (x20 + (x8 + (x6 + x3)))); + x33 = (x27 + x32); + x34 = (uint64_t)(x33 >> 51); + x35 = (uint64_t)(x33 & UINT64_C(0x7ffffffffffff)); + x36 = (x34 + x31); + x37 = (uint64_t)(x36 >> 51); + x38 = (uint64_t)(x36 & UINT64_C(0x7ffffffffffff)); + x39 = (x37 + x30); + x40 = (uint64_t)(x39 >> 51); + x41 = (uint64_t)(x39 & UINT64_C(0x7ffffffffffff)); + x42 = (x40 + x29); + x43 = (uint64_t)(x42 >> 51); + x44 = (uint64_t)(x42 & UINT64_C(0x7ffffffffffff)); + x45 = (x43 * UINT8_C(0x13)); + x46 = (x28 + x45); + x47 = (x46 >> 51); + x48 = (x46 & UINT64_C(0x7ffffffffffff)); + x49 = (x47 + x35); + x50 = (fiat_25519_uint1)(x49 >> 51); + x51 = (x49 & UINT64_C(0x7ffffffffffff)); + x52 = (x50 + x38); out1[0] = x48; out1[1] = x51; out1[2] = x52; @@ -132,62 +245,113 @@ static void fiat_25519_carry_mul(uint64_t out1[5], const uint64_t arg1[5], const } /* - * Input Bounds: - * arg1: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]] - * Output Bounds: - * out1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]] + * The function fiat_25519_carry_square squares a field element and reduces the result. + * + * Postconditions: + * eval out1 mod m = (eval arg1 * eval arg1) mod m + * */ -static void fiat_25519_carry_square(uint64_t out1[5], const uint64_t arg1[5]) { - uint64_t x1 = ((arg1[4]) * (uint64_t)UINT8_C(0x13)); - uint64_t x2 = (x1 * (uint64_t)0x2); - uint64_t x3 = ((arg1[4]) * (uint64_t)0x2); - uint64_t x4 = ((arg1[3]) * (uint64_t)UINT8_C(0x13)); - uint64_t x5 = (x4 * (uint64_t)0x2); - uint64_t x6 = ((arg1[3]) * (uint64_t)0x2); - uint64_t x7 = ((arg1[2]) * (uint64_t)0x2); - uint64_t x8 = ((arg1[1]) * (uint64_t)0x2); - fiat_25519_uint128 x9 = ((fiat_25519_uint128)(arg1[4]) * x1); - fiat_25519_uint128 x10 = ((fiat_25519_uint128)(arg1[3]) * x2); - fiat_25519_uint128 x11 = ((fiat_25519_uint128)(arg1[3]) * x4); - fiat_25519_uint128 x12 = ((fiat_25519_uint128)(arg1[2]) * x2); - fiat_25519_uint128 x13 = ((fiat_25519_uint128)(arg1[2]) * x5); - fiat_25519_uint128 x14 = ((fiat_25519_uint128)(arg1[2]) * (arg1[2])); - fiat_25519_uint128 x15 = ((fiat_25519_uint128)(arg1[1]) * x2); - fiat_25519_uint128 x16 = ((fiat_25519_uint128)(arg1[1]) * x6); - fiat_25519_uint128 x17 = ((fiat_25519_uint128)(arg1[1]) * x7); - fiat_25519_uint128 x18 = ((fiat_25519_uint128)(arg1[1]) * (arg1[1])); - fiat_25519_uint128 x19 = ((fiat_25519_uint128)(arg1[0]) * x3); - fiat_25519_uint128 x20 = ((fiat_25519_uint128)(arg1[0]) * x6); - fiat_25519_uint128 x21 = ((fiat_25519_uint128)(arg1[0]) * x7); - fiat_25519_uint128 x22 = ((fiat_25519_uint128)(arg1[0]) * x8); - fiat_25519_uint128 x23 = ((fiat_25519_uint128)(arg1[0]) * (arg1[0])); - fiat_25519_uint128 x24 = (x23 + (x15 + x13)); - uint64_t x25 = (uint64_t)(x24 >> 51); - uint64_t x26 = (uint64_t)(x24 & UINT64_C(0x7ffffffffffff)); - fiat_25519_uint128 x27 = (x19 + (x16 + x14)); - fiat_25519_uint128 x28 = (x20 + (x17 + x9)); - fiat_25519_uint128 x29 = (x21 + (x18 + x10)); - fiat_25519_uint128 x30 = (x22 + (x12 + x11)); - fiat_25519_uint128 x31 = (x25 + x30); - uint64_t x32 = (uint64_t)(x31 >> 51); - uint64_t x33 = (uint64_t)(x31 & UINT64_C(0x7ffffffffffff)); - fiat_25519_uint128 x34 = (x32 + x29); - uint64_t x35 = (uint64_t)(x34 >> 51); - uint64_t x36 = (uint64_t)(x34 & UINT64_C(0x7ffffffffffff)); - fiat_25519_uint128 x37 = (x35 + x28); - uint64_t x38 = (uint64_t)(x37 >> 51); - uint64_t x39 = (uint64_t)(x37 & UINT64_C(0x7ffffffffffff)); - fiat_25519_uint128 x40 = (x38 + x27); - uint64_t x41 = (uint64_t)(x40 >> 51); - uint64_t x42 = (uint64_t)(x40 & UINT64_C(0x7ffffffffffff)); - uint64_t x43 = (x41 * (uint64_t)UINT8_C(0x13)); - uint64_t x44 = (x26 + x43); - uint64_t x45 = (x44 >> 51); - uint64_t x46 = (x44 & UINT64_C(0x7ffffffffffff)); - uint64_t x47 = (x45 + x33); - uint64_t x48 = (x47 >> 51); - uint64_t x49 = (x47 & UINT64_C(0x7ffffffffffff)); - uint64_t x50 = (x48 + x36); +static FIAT_25519_FIAT_INLINE void fiat_25519_carry_square(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1) { + uint64_t x1; + uint64_t x2; + uint64_t x3; + uint64_t x4; + uint64_t x5; + uint64_t x6; + uint64_t x7; + uint64_t x8; + fiat_25519_uint128 x9; + fiat_25519_uint128 x10; + fiat_25519_uint128 x11; + fiat_25519_uint128 x12; + fiat_25519_uint128 x13; + fiat_25519_uint128 x14; + fiat_25519_uint128 x15; + fiat_25519_uint128 x16; + fiat_25519_uint128 x17; + fiat_25519_uint128 x18; + fiat_25519_uint128 x19; + fiat_25519_uint128 x20; + fiat_25519_uint128 x21; + fiat_25519_uint128 x22; + fiat_25519_uint128 x23; + fiat_25519_uint128 x24; + uint64_t x25; + uint64_t x26; + fiat_25519_uint128 x27; + fiat_25519_uint128 x28; + fiat_25519_uint128 x29; + fiat_25519_uint128 x30; + fiat_25519_uint128 x31; + uint64_t x32; + uint64_t x33; + fiat_25519_uint128 x34; + uint64_t x35; + uint64_t x36; + fiat_25519_uint128 x37; + uint64_t x38; + uint64_t x39; + fiat_25519_uint128 x40; + uint64_t x41; + uint64_t x42; + uint64_t x43; + uint64_t x44; + uint64_t x45; + uint64_t x46; + uint64_t x47; + fiat_25519_uint1 x48; + uint64_t x49; + uint64_t x50; + x1 = ((arg1[4]) * UINT8_C(0x13)); + x2 = (x1 * 0x2); + x3 = ((arg1[4]) * 0x2); + x4 = ((arg1[3]) * UINT8_C(0x13)); + x5 = (x4 * 0x2); + x6 = ((arg1[3]) * 0x2); + x7 = ((arg1[2]) * 0x2); + x8 = ((arg1[1]) * 0x2); + x9 = ((fiat_25519_uint128)(arg1[4]) * x1); + x10 = ((fiat_25519_uint128)(arg1[3]) * x2); + x11 = ((fiat_25519_uint128)(arg1[3]) * x4); + x12 = ((fiat_25519_uint128)(arg1[2]) * x2); + x13 = ((fiat_25519_uint128)(arg1[2]) * x5); + x14 = ((fiat_25519_uint128)(arg1[2]) * (arg1[2])); + x15 = ((fiat_25519_uint128)(arg1[1]) * x2); + x16 = ((fiat_25519_uint128)(arg1[1]) * x6); + x17 = ((fiat_25519_uint128)(arg1[1]) * x7); + x18 = ((fiat_25519_uint128)(arg1[1]) * (arg1[1])); + x19 = ((fiat_25519_uint128)(arg1[0]) * x3); + x20 = ((fiat_25519_uint128)(arg1[0]) * x6); + x21 = ((fiat_25519_uint128)(arg1[0]) * x7); + x22 = ((fiat_25519_uint128)(arg1[0]) * x8); + x23 = ((fiat_25519_uint128)(arg1[0]) * (arg1[0])); + x24 = (x23 + (x15 + x13)); + x25 = (uint64_t)(x24 >> 51); + x26 = (uint64_t)(x24 & UINT64_C(0x7ffffffffffff)); + x27 = (x19 + (x16 + x14)); + x28 = (x20 + (x17 + x9)); + x29 = (x21 + (x18 + x10)); + x30 = (x22 + (x12 + x11)); + x31 = (x25 + x30); + x32 = (uint64_t)(x31 >> 51); + x33 = (uint64_t)(x31 & UINT64_C(0x7ffffffffffff)); + x34 = (x32 + x29); + x35 = (uint64_t)(x34 >> 51); + x36 = (uint64_t)(x34 & UINT64_C(0x7ffffffffffff)); + x37 = (x35 + x28); + x38 = (uint64_t)(x37 >> 51); + x39 = (uint64_t)(x37 & UINT64_C(0x7ffffffffffff)); + x40 = (x38 + x27); + x41 = (uint64_t)(x40 >> 51); + x42 = (uint64_t)(x40 & UINT64_C(0x7ffffffffffff)); + x43 = (x41 * UINT8_C(0x13)); + x44 = (x26 + x43); + x45 = (x44 >> 51); + x46 = (x44 & UINT64_C(0x7ffffffffffff)); + x47 = (x45 + x33); + x48 = (fiat_25519_uint1)(x47 >> 51); + x49 = (x47 & UINT64_C(0x7ffffffffffff)); + x50 = (x48 + x36); out1[0] = x46; out1[1] = x49; out1[2] = x50; @@ -196,24 +360,37 @@ static void fiat_25519_carry_square(uint64_t out1[5], const uint64_t arg1[5]) { } /* - * Input Bounds: - * arg1: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]] - * Output Bounds: - * out1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]] + * The function fiat_25519_carry reduces a field element. + * + * Postconditions: + * eval out1 mod m = eval arg1 mod m + * */ -static void fiat_25519_carry(uint64_t out1[5], const uint64_t arg1[5]) { - uint64_t x1 = (arg1[0]); - uint64_t x2 = ((x1 >> 51) + (arg1[1])); - uint64_t x3 = ((x2 >> 51) + (arg1[2])); - uint64_t x4 = ((x3 >> 51) + (arg1[3])); - uint64_t x5 = ((x4 >> 51) + (arg1[4])); - uint64_t x6 = ((x1 & UINT64_C(0x7ffffffffffff)) + ((x5 >> 51) * (uint64_t)UINT8_C(0x13))); - uint64_t x7 = ((x6 >> 51) + (x2 & UINT64_C(0x7ffffffffffff))); - uint64_t x8 = (x6 & UINT64_C(0x7ffffffffffff)); - uint64_t x9 = (x7 & UINT64_C(0x7ffffffffffff)); - uint64_t x10 = ((x7 >> 51) + (x3 & UINT64_C(0x7ffffffffffff))); - uint64_t x11 = (x4 & UINT64_C(0x7ffffffffffff)); - uint64_t x12 = (x5 & UINT64_C(0x7ffffffffffff)); +static FIAT_25519_FIAT_INLINE void fiat_25519_carry(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1) { + uint64_t x1; + uint64_t x2; + uint64_t x3; + uint64_t x4; + uint64_t x5; + uint64_t x6; + uint64_t x7; + uint64_t x8; + uint64_t x9; + uint64_t x10; + uint64_t x11; + uint64_t x12; + x1 = (arg1[0]); + x2 = ((x1 >> 51) + (arg1[1])); + x3 = ((x2 >> 51) + (arg1[2])); + x4 = ((x3 >> 51) + (arg1[3])); + x5 = ((x4 >> 51) + (arg1[4])); + x6 = ((x1 & UINT64_C(0x7ffffffffffff)) + ((x5 >> 51) * UINT8_C(0x13))); + x7 = ((fiat_25519_uint1)(x6 >> 51) + (x2 & UINT64_C(0x7ffffffffffff))); + x8 = (x6 & UINT64_C(0x7ffffffffffff)); + x9 = (x7 & UINT64_C(0x7ffffffffffff)); + x10 = ((fiat_25519_uint1)(x7 >> 51) + (x3 & UINT64_C(0x7ffffffffffff))); + x11 = (x4 & UINT64_C(0x7ffffffffffff)); + x12 = (x5 & UINT64_C(0x7ffffffffffff)); out1[0] = x8; out1[1] = x9; out1[2] = x10; @@ -222,18 +399,23 @@ static void fiat_25519_carry(uint64_t out1[5], const uint64_t arg1[5]) { } /* - * Input Bounds: - * arg1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]] - * arg2: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]] - * Output Bounds: - * out1: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]] + * The function fiat_25519_add adds two field elements. + * + * Postconditions: + * eval out1 mod m = (eval arg1 + eval arg2) mod m + * */ -static void fiat_25519_add(uint64_t out1[5], const uint64_t arg1[5], const uint64_t arg2[5]) { - uint64_t x1 = ((arg1[0]) + (arg2[0])); - uint64_t x2 = ((arg1[1]) + (arg2[1])); - uint64_t x3 = ((arg1[2]) + (arg2[2])); - uint64_t x4 = ((arg1[3]) + (arg2[3])); - uint64_t x5 = ((arg1[4]) + (arg2[4])); +static FIAT_25519_FIAT_INLINE void fiat_25519_add(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1, const fiat_25519_tight_field_element arg2) { + uint64_t x1; + uint64_t x2; + uint64_t x3; + uint64_t x4; + uint64_t x5; + 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])); out1[0] = x1; out1[1] = x2; out1[2] = x3; @@ -242,18 +424,23 @@ static void fiat_25519_add(uint64_t out1[5], const uint64_t arg1[5], const uint6 } /* - * Input Bounds: - * arg1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]] - * arg2: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]] - * Output Bounds: - * out1: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]] + * The function fiat_25519_sub subtracts two field elements. + * + * Postconditions: + * eval out1 mod m = (eval arg1 - eval arg2) mod m + * */ -static void fiat_25519_sub(uint64_t out1[5], const uint64_t arg1[5], const uint64_t arg2[5]) { - uint64_t x1 = ((UINT64_C(0xfffffffffffda) + (arg1[0])) - (arg2[0])); - uint64_t x2 = ((UINT64_C(0xffffffffffffe) + (arg1[1])) - (arg2[1])); - uint64_t x3 = ((UINT64_C(0xffffffffffffe) + (arg1[2])) - (arg2[2])); - uint64_t x4 = ((UINT64_C(0xffffffffffffe) + (arg1[3])) - (arg2[3])); - uint64_t x5 = ((UINT64_C(0xffffffffffffe) + (arg1[4])) - (arg2[4])); +static FIAT_25519_FIAT_INLINE void fiat_25519_sub(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1, const fiat_25519_tight_field_element arg2) { + uint64_t x1; + uint64_t x2; + uint64_t x3; + uint64_t x4; + uint64_t x5; + x1 = ((UINT64_C(0xfffffffffffda) + (arg1[0])) - (arg2[0])); + x2 = ((UINT64_C(0xffffffffffffe) + (arg1[1])) - (arg2[1])); + x3 = ((UINT64_C(0xffffffffffffe) + (arg1[2])) - (arg2[2])); + x4 = ((UINT64_C(0xffffffffffffe) + (arg1[3])) - (arg2[3])); + x5 = ((UINT64_C(0xffffffffffffe) + (arg1[4])) - (arg2[4])); out1[0] = x1; out1[1] = x2; out1[2] = x3; @@ -262,17 +449,23 @@ static void fiat_25519_sub(uint64_t out1[5], const uint64_t arg1[5], const uint6 } /* - * Input Bounds: - * arg1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]] - * Output Bounds: - * out1: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]] + * The function fiat_25519_opp negates a field element. + * + * Postconditions: + * eval out1 mod m = -eval arg1 mod m + * */ -static void fiat_25519_opp(uint64_t out1[5], const uint64_t arg1[5]) { - uint64_t x1 = (UINT64_C(0xfffffffffffda) - (arg1[0])); - uint64_t x2 = (UINT64_C(0xffffffffffffe) - (arg1[1])); - uint64_t x3 = (UINT64_C(0xffffffffffffe) - (arg1[2])); - uint64_t x4 = (UINT64_C(0xffffffffffffe) - (arg1[3])); - uint64_t x5 = (UINT64_C(0xffffffffffffe) - (arg1[4])); +static FIAT_25519_FIAT_INLINE void fiat_25519_opp(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1) { + uint64_t x1; + uint64_t x2; + uint64_t x3; + uint64_t x4; + uint64_t x5; + x1 = (UINT64_C(0xfffffffffffda) - (arg1[0])); + x2 = (UINT64_C(0xffffffffffffe) - (arg1[1])); + x3 = (UINT64_C(0xffffffffffffe) - (arg1[2])); + x4 = (UINT64_C(0xffffffffffffe) - (arg1[3])); + x5 = (UINT64_C(0xffffffffffffe) - (arg1[4])); out1[0] = x1; out1[1] = x2; out1[2] = x3; @@ -281,227 +474,434 @@ static void fiat_25519_opp(uint64_t out1[5], const uint64_t arg1[5]) { } /* - * Input Bounds: - * arg1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]] + * The function fiat_25519_to_bytes 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..31] + * * 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 ~> 0x7f]] */ -static void fiat_25519_to_bytes(uint8_t out1[32], const uint64_t arg1[5]) { +static FIAT_25519_FIAT_INLINE void fiat_25519_to_bytes(uint8_t out1[32], const fiat_25519_tight_field_element arg1) { uint64_t x1; fiat_25519_uint1 x2; - fiat_25519_subborrowx_u51(&x1, &x2, 0x0, (arg1[0]), UINT64_C(0x7ffffffffffed)); uint64_t x3; fiat_25519_uint1 x4; - fiat_25519_subborrowx_u51(&x3, &x4, x2, (arg1[1]), UINT64_C(0x7ffffffffffff)); uint64_t x5; fiat_25519_uint1 x6; - fiat_25519_subborrowx_u51(&x5, &x6, x4, (arg1[2]), UINT64_C(0x7ffffffffffff)); uint64_t x7; fiat_25519_uint1 x8; - fiat_25519_subborrowx_u51(&x7, &x8, x6, (arg1[3]), UINT64_C(0x7ffffffffffff)); uint64_t x9; fiat_25519_uint1 x10; - fiat_25519_subborrowx_u51(&x9, &x10, x8, (arg1[4]), UINT64_C(0x7ffffffffffff)); uint64_t x11; - fiat_25519_cmovznz_u64(&x11, x10, 0x0, UINT64_C(0xffffffffffffffff)); uint64_t x12; fiat_25519_uint1 x13; - fiat_25519_addcarryx_u51(&x12, &x13, 0x0, (x11 & UINT64_C(0x7ffffffffffed)), x1); uint64_t x14; fiat_25519_uint1 x15; - fiat_25519_addcarryx_u51(&x14, &x15, x13, (x11 & UINT64_C(0x7ffffffffffff)), x3); uint64_t x16; fiat_25519_uint1 x17; - fiat_25519_addcarryx_u51(&x16, &x17, x15, (x11 & UINT64_C(0x7ffffffffffff)), x5); uint64_t x18; fiat_25519_uint1 x19; - fiat_25519_addcarryx_u51(&x18, &x19, x17, (x11 & UINT64_C(0x7ffffffffffff)), x7); uint64_t x20; fiat_25519_uint1 x21; - fiat_25519_addcarryx_u51(&x20, &x21, x19, (x11 & UINT64_C(0x7ffffffffffff)), x9); - uint64_t x22 = (x20 << 4); - uint64_t x23 = (x18 * (uint64_t)0x2); - uint64_t x24 = (x16 << 6); - uint64_t x25 = (x14 << 3); - uint64_t x26 = (x12 >> 8); - uint8_t x27 = (uint8_t)(x12 & UINT8_C(0xff)); - uint64_t x28 = (x26 >> 8); - uint8_t x29 = (uint8_t)(x26 & UINT8_C(0xff)); - uint64_t x30 = (x28 >> 8); - uint8_t x31 = (uint8_t)(x28 & UINT8_C(0xff)); - uint64_t x32 = (x30 >> 8); - uint8_t x33 = (uint8_t)(x30 & UINT8_C(0xff)); - uint64_t x34 = (x32 >> 8); - uint8_t x35 = (uint8_t)(x32 & UINT8_C(0xff)); - uint8_t x36 = (uint8_t)(x34 >> 8); - uint8_t x37 = (uint8_t)(x34 & UINT8_C(0xff)); - uint64_t x38 = (x36 + x25); - uint64_t x39 = (x38 >> 8); - uint8_t x40 = (uint8_t)(x38 & UINT8_C(0xff)); - uint64_t x41 = (x39 >> 8); - uint8_t x42 = (uint8_t)(x39 & UINT8_C(0xff)); - uint64_t x43 = (x41 >> 8); - uint8_t x44 = (uint8_t)(x41 & UINT8_C(0xff)); - uint64_t x45 = (x43 >> 8); - uint8_t x46 = (uint8_t)(x43 & UINT8_C(0xff)); - uint64_t x47 = (x45 >> 8); - uint8_t x48 = (uint8_t)(x45 & UINT8_C(0xff)); - uint8_t x49 = (uint8_t)(x47 >> 8); - uint8_t x50 = (uint8_t)(x47 & UINT8_C(0xff)); - uint64_t x51 = (x49 + x24); - uint64_t x52 = (x51 >> 8); - uint8_t x53 = (uint8_t)(x51 & UINT8_C(0xff)); - uint64_t x54 = (x52 >> 8); - uint8_t x55 = (uint8_t)(x52 & UINT8_C(0xff)); - uint64_t x56 = (x54 >> 8); - uint8_t x57 = (uint8_t)(x54 & UINT8_C(0xff)); - uint64_t x58 = (x56 >> 8); - uint8_t x59 = (uint8_t)(x56 & UINT8_C(0xff)); - uint64_t x60 = (x58 >> 8); - uint8_t x61 = (uint8_t)(x58 & UINT8_C(0xff)); - uint64_t x62 = (x60 >> 8); - uint8_t x63 = (uint8_t)(x60 & UINT8_C(0xff)); - fiat_25519_uint1 x64 = (fiat_25519_uint1)(x62 >> 8); - uint8_t x65 = (uint8_t)(x62 & UINT8_C(0xff)); - uint64_t x66 = (x64 + x23); - uint64_t x67 = (x66 >> 8); - uint8_t x68 = (uint8_t)(x66 & UINT8_C(0xff)); - uint64_t x69 = (x67 >> 8); - uint8_t x70 = (uint8_t)(x67 & UINT8_C(0xff)); - uint64_t x71 = (x69 >> 8); - uint8_t x72 = (uint8_t)(x69 & UINT8_C(0xff)); - uint64_t x73 = (x71 >> 8); - uint8_t x74 = (uint8_t)(x71 & UINT8_C(0xff)); - uint64_t x75 = (x73 >> 8); - uint8_t x76 = (uint8_t)(x73 & UINT8_C(0xff)); - uint8_t x77 = (uint8_t)(x75 >> 8); - uint8_t x78 = (uint8_t)(x75 & UINT8_C(0xff)); - uint64_t x79 = (x77 + x22); - uint64_t x80 = (x79 >> 8); - uint8_t x81 = (uint8_t)(x79 & UINT8_C(0xff)); - uint64_t x82 = (x80 >> 8); - uint8_t x83 = (uint8_t)(x80 & UINT8_C(0xff)); - uint64_t x84 = (x82 >> 8); - uint8_t x85 = (uint8_t)(x82 & UINT8_C(0xff)); - uint64_t x86 = (x84 >> 8); - uint8_t x87 = (uint8_t)(x84 & UINT8_C(0xff)); - uint64_t x88 = (x86 >> 8); - uint8_t x89 = (uint8_t)(x86 & UINT8_C(0xff)); - uint8_t x90 = (uint8_t)(x88 >> 8); - uint8_t x91 = (uint8_t)(x88 & UINT8_C(0xff)); - out1[0] = x27; - out1[1] = x29; - out1[2] = x31; - out1[3] = x33; - out1[4] = x35; - out1[5] = x37; - out1[6] = x40; - out1[7] = x42; - out1[8] = x44; - out1[9] = x46; - out1[10] = x48; - out1[11] = x50; - out1[12] = x53; - out1[13] = x55; - out1[14] = x57; - out1[15] = x59; - out1[16] = x61; - out1[17] = x63; - out1[18] = x65; - out1[19] = x68; - out1[20] = x70; - out1[21] = x72; - out1[22] = x74; - out1[23] = x76; - out1[24] = x78; - out1[25] = x81; - out1[26] = x83; - out1[27] = x85; - out1[28] = x87; - out1[29] = x89; - out1[30] = x91; - out1[31] = x90; + uint64_t x22; + uint64_t x23; + uint64_t x24; + uint64_t x25; + uint8_t x26; + uint64_t x27; + uint8_t x28; + uint64_t x29; + uint8_t x30; + uint64_t x31; + uint8_t x32; + uint64_t x33; + uint8_t x34; + uint64_t x35; + uint8_t x36; + uint8_t x37; + uint64_t x38; + uint8_t x39; + uint64_t x40; + uint8_t x41; + uint64_t x42; + uint8_t x43; + uint64_t x44; + uint8_t x45; + uint64_t x46; + uint8_t x47; + uint64_t x48; + uint8_t x49; + uint8_t x50; + uint64_t x51; + uint8_t x52; + uint64_t x53; + uint8_t x54; + uint64_t x55; + uint8_t x56; + uint64_t x57; + uint8_t x58; + uint64_t x59; + uint8_t x60; + uint64_t x61; + uint8_t x62; + uint64_t x63; + uint8_t x64; + fiat_25519_uint1 x65; + uint64_t x66; + uint8_t x67; + uint64_t x68; + uint8_t x69; + uint64_t x70; + uint8_t x71; + uint64_t x72; + uint8_t x73; + uint64_t x74; + uint8_t x75; + uint64_t x76; + uint8_t x77; + uint8_t x78; + uint64_t x79; + uint8_t x80; + uint64_t x81; + uint8_t x82; + uint64_t x83; + uint8_t x84; + uint64_t x85; + uint8_t x86; + uint64_t x87; + uint8_t x88; + uint64_t x89; + uint8_t x90; + uint8_t x91; + fiat_25519_subborrowx_u51(&x1, &x2, 0x0, (arg1[0]), UINT64_C(0x7ffffffffffed)); + fiat_25519_subborrowx_u51(&x3, &x4, x2, (arg1[1]), UINT64_C(0x7ffffffffffff)); + fiat_25519_subborrowx_u51(&x5, &x6, x4, (arg1[2]), UINT64_C(0x7ffffffffffff)); + fiat_25519_subborrowx_u51(&x7, &x8, x6, (arg1[3]), UINT64_C(0x7ffffffffffff)); + fiat_25519_subborrowx_u51(&x9, &x10, x8, (arg1[4]), UINT64_C(0x7ffffffffffff)); + fiat_25519_cmovznz_u64(&x11, x10, 0x0, UINT64_C(0xffffffffffffffff)); + fiat_25519_addcarryx_u51(&x12, &x13, 0x0, x1, (x11 & UINT64_C(0x7ffffffffffed))); + fiat_25519_addcarryx_u51(&x14, &x15, x13, x3, (x11 & UINT64_C(0x7ffffffffffff))); + fiat_25519_addcarryx_u51(&x16, &x17, x15, x5, (x11 & UINT64_C(0x7ffffffffffff))); + fiat_25519_addcarryx_u51(&x18, &x19, x17, x7, (x11 & UINT64_C(0x7ffffffffffff))); + fiat_25519_addcarryx_u51(&x20, &x21, x19, x9, (x11 & UINT64_C(0x7ffffffffffff))); + x22 = (x20 << 4); + x23 = (x18 * (uint64_t)0x2); + x24 = (x16 << 6); + x25 = (x14 << 3); + x26 = (uint8_t)(x12 & UINT8_C(0xff)); + x27 = (x12 >> 8); + x28 = (uint8_t)(x27 & UINT8_C(0xff)); + x29 = (x27 >> 8); + x30 = (uint8_t)(x29 & UINT8_C(0xff)); + x31 = (x29 >> 8); + x32 = (uint8_t)(x31 & UINT8_C(0xff)); + x33 = (x31 >> 8); + x34 = (uint8_t)(x33 & UINT8_C(0xff)); + x35 = (x33 >> 8); + x36 = (uint8_t)(x35 & UINT8_C(0xff)); + x37 = (uint8_t)(x35 >> 8); + x38 = (x25 + (uint64_t)x37); + x39 = (uint8_t)(x38 & UINT8_C(0xff)); + x40 = (x38 >> 8); + x41 = (uint8_t)(x40 & UINT8_C(0xff)); + x42 = (x40 >> 8); + x43 = (uint8_t)(x42 & UINT8_C(0xff)); + x44 = (x42 >> 8); + x45 = (uint8_t)(x44 & UINT8_C(0xff)); + x46 = (x44 >> 8); + x47 = (uint8_t)(x46 & UINT8_C(0xff)); + x48 = (x46 >> 8); + x49 = (uint8_t)(x48 & UINT8_C(0xff)); + x50 = (uint8_t)(x48 >> 8); + x51 = (x24 + (uint64_t)x50); + x52 = (uint8_t)(x51 & UINT8_C(0xff)); + x53 = (x51 >> 8); + x54 = (uint8_t)(x53 & UINT8_C(0xff)); + x55 = (x53 >> 8); + x56 = (uint8_t)(x55 & UINT8_C(0xff)); + x57 = (x55 >> 8); + x58 = (uint8_t)(x57 & UINT8_C(0xff)); + x59 = (x57 >> 8); + x60 = (uint8_t)(x59 & UINT8_C(0xff)); + x61 = (x59 >> 8); + x62 = (uint8_t)(x61 & UINT8_C(0xff)); + x63 = (x61 >> 8); + x64 = (uint8_t)(x63 & UINT8_C(0xff)); + x65 = (fiat_25519_uint1)(x63 >> 8); + x66 = (x23 + (uint64_t)x65); + x67 = (uint8_t)(x66 & UINT8_C(0xff)); + x68 = (x66 >> 8); + x69 = (uint8_t)(x68 & UINT8_C(0xff)); + x70 = (x68 >> 8); + x71 = (uint8_t)(x70 & UINT8_C(0xff)); + x72 = (x70 >> 8); + x73 = (uint8_t)(x72 & UINT8_C(0xff)); + x74 = (x72 >> 8); + x75 = (uint8_t)(x74 & UINT8_C(0xff)); + x76 = (x74 >> 8); + x77 = (uint8_t)(x76 & UINT8_C(0xff)); + x78 = (uint8_t)(x76 >> 8); + x79 = (x22 + (uint64_t)x78); + x80 = (uint8_t)(x79 & UINT8_C(0xff)); + x81 = (x79 >> 8); + x82 = (uint8_t)(x81 & UINT8_C(0xff)); + x83 = (x81 >> 8); + x84 = (uint8_t)(x83 & UINT8_C(0xff)); + x85 = (x83 >> 8); + x86 = (uint8_t)(x85 & UINT8_C(0xff)); + x87 = (x85 >> 8); + x88 = (uint8_t)(x87 & UINT8_C(0xff)); + x89 = (x87 >> 8); + x90 = (uint8_t)(x89 & UINT8_C(0xff)); + x91 = (uint8_t)(x89 >> 8); + out1[0] = x26; + out1[1] = x28; + out1[2] = x30; + out1[3] = x32; + out1[4] = x34; + out1[5] = x36; + out1[6] = x39; + out1[7] = x41; + out1[8] = x43; + out1[9] = x45; + out1[10] = x47; + out1[11] = x49; + out1[12] = x52; + out1[13] = x54; + out1[14] = x56; + out1[15] = x58; + out1[16] = x60; + out1[17] = x62; + out1[18] = x64; + out1[19] = x67; + out1[20] = x69; + out1[21] = x71; + out1[22] = x73; + out1[23] = x75; + out1[24] = x77; + out1[25] = x80; + out1[26] = x82; + out1[27] = x84; + out1[28] = x86; + out1[29] = x88; + out1[30] = x90; + out1[31] = x91; } /* + * The function fiat_25519_from_bytes 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 ~> 0x7f]] - * Output Bounds: - * out1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]] */ -static void fiat_25519_from_bytes(uint64_t out1[5], const uint8_t arg1[32]) { - uint64_t x1 = ((uint64_t)(arg1[31]) << 44); - uint64_t x2 = ((uint64_t)(arg1[30]) << 36); - uint64_t x3 = ((uint64_t)(arg1[29]) << 28); - uint64_t x4 = ((uint64_t)(arg1[28]) << 20); - uint64_t x5 = ((uint64_t)(arg1[27]) << 12); - uint64_t x6 = ((uint64_t)(arg1[26]) << 4); - uint64_t x7 = ((uint64_t)(arg1[25]) << 47); - uint64_t x8 = ((uint64_t)(arg1[24]) << 39); - uint64_t x9 = ((uint64_t)(arg1[23]) << 31); - uint64_t x10 = ((uint64_t)(arg1[22]) << 23); - uint64_t x11 = ((uint64_t)(arg1[21]) << 15); - uint64_t x12 = ((uint64_t)(arg1[20]) << 7); - uint64_t x13 = ((uint64_t)(arg1[19]) << 50); - uint64_t x14 = ((uint64_t)(arg1[18]) << 42); - uint64_t x15 = ((uint64_t)(arg1[17]) << 34); - uint64_t x16 = ((uint64_t)(arg1[16]) << 26); - uint64_t x17 = ((uint64_t)(arg1[15]) << 18); - uint64_t x18 = ((uint64_t)(arg1[14]) << 10); - uint64_t x19 = ((uint64_t)(arg1[13]) << 2); - uint64_t x20 = ((uint64_t)(arg1[12]) << 45); - uint64_t x21 = ((uint64_t)(arg1[11]) << 37); - uint64_t x22 = ((uint64_t)(arg1[10]) << 29); - uint64_t x23 = ((uint64_t)(arg1[9]) << 21); - uint64_t x24 = ((uint64_t)(arg1[8]) << 13); - uint64_t x25 = ((uint64_t)(arg1[7]) << 5); - uint64_t x26 = ((uint64_t)(arg1[6]) << 48); - uint64_t x27 = ((uint64_t)(arg1[5]) << 40); - uint64_t x28 = ((uint64_t)(arg1[4]) << 32); - uint64_t x29 = ((uint64_t)(arg1[3]) << 24); - uint64_t x30 = ((uint64_t)(arg1[2]) << 16); - uint64_t x31 = ((uint64_t)(arg1[1]) << 8); - uint8_t x32 = (arg1[0]); - uint64_t x33 = (x32 + (x31 + (x30 + (x29 + (x28 + (x27 + x26)))))); - uint8_t x34 = (uint8_t)(x33 >> 51); - uint64_t x35 = (x33 & UINT64_C(0x7ffffffffffff)); - uint64_t x36 = (x6 + (x5 + (x4 + (x3 + (x2 + x1))))); - uint64_t x37 = (x12 + (x11 + (x10 + (x9 + (x8 + x7))))); - uint64_t x38 = (x19 + (x18 + (x17 + (x16 + (x15 + (x14 + x13)))))); - uint64_t x39 = (x25 + (x24 + (x23 + (x22 + (x21 + x20))))); - uint64_t x40 = (x34 + x39); - uint8_t x41 = (uint8_t)(x40 >> 51); - uint64_t x42 = (x40 & UINT64_C(0x7ffffffffffff)); - uint64_t x43 = (x41 + x38); - uint8_t x44 = (uint8_t)(x43 >> 51); - uint64_t x45 = (x43 & UINT64_C(0x7ffffffffffff)); - uint64_t x46 = (x44 + x37); - uint8_t x47 = (uint8_t)(x46 >> 51); - uint64_t x48 = (x46 & UINT64_C(0x7ffffffffffff)); - uint64_t x49 = (x47 + x36); - out1[0] = x35; - out1[1] = x42; - out1[2] = x45; - out1[3] = x48; - out1[4] = x49; +static FIAT_25519_FIAT_INLINE void fiat_25519_from_bytes(fiat_25519_tight_field_element out1, const uint8_t arg1[32]) { + uint64_t x1; + uint64_t x2; + uint64_t x3; + uint64_t x4; + uint64_t x5; + uint64_t x6; + uint64_t x7; + uint64_t x8; + uint64_t x9; + uint64_t x10; + uint64_t x11; + uint64_t x12; + uint64_t x13; + uint64_t x14; + uint64_t x15; + uint64_t x16; + uint64_t x17; + uint64_t x18; + uint64_t x19; + uint64_t x20; + uint64_t x21; + uint64_t x22; + uint64_t x23; + uint64_t x24; + uint64_t x25; + uint64_t x26; + uint64_t x27; + uint64_t x28; + uint64_t x29; + uint64_t x30; + uint64_t x31; + uint8_t x32; + uint64_t x33; + uint64_t x34; + uint64_t x35; + uint64_t x36; + uint64_t x37; + uint64_t x38; + uint64_t x39; + uint8_t x40; + uint64_t x41; + uint64_t x42; + uint64_t x43; + uint64_t x44; + uint64_t x45; + uint64_t x46; + uint64_t x47; + uint8_t x48; + uint64_t x49; + uint64_t x50; + uint64_t x51; + uint64_t x52; + uint64_t x53; + uint64_t x54; + uint64_t x55; + uint64_t x56; + uint8_t x57; + uint64_t x58; + uint64_t x59; + uint64_t x60; + uint64_t x61; + uint64_t x62; + uint64_t x63; + uint64_t x64; + uint8_t x65; + uint64_t x66; + uint64_t x67; + uint64_t x68; + uint64_t x69; + uint64_t x70; + uint64_t x71; + x1 = ((uint64_t)(arg1[31]) << 44); + x2 = ((uint64_t)(arg1[30]) << 36); + x3 = ((uint64_t)(arg1[29]) << 28); + x4 = ((uint64_t)(arg1[28]) << 20); + x5 = ((uint64_t)(arg1[27]) << 12); + x6 = ((uint64_t)(arg1[26]) << 4); + x7 = ((uint64_t)(arg1[25]) << 47); + x8 = ((uint64_t)(arg1[24]) << 39); + x9 = ((uint64_t)(arg1[23]) << 31); + x10 = ((uint64_t)(arg1[22]) << 23); + x11 = ((uint64_t)(arg1[21]) << 15); + x12 = ((uint64_t)(arg1[20]) << 7); + x13 = ((uint64_t)(arg1[19]) << 50); + x14 = ((uint64_t)(arg1[18]) << 42); + x15 = ((uint64_t)(arg1[17]) << 34); + x16 = ((uint64_t)(arg1[16]) << 26); + x17 = ((uint64_t)(arg1[15]) << 18); + x18 = ((uint64_t)(arg1[14]) << 10); + x19 = ((uint64_t)(arg1[13]) << 2); + x20 = ((uint64_t)(arg1[12]) << 45); + x21 = ((uint64_t)(arg1[11]) << 37); + x22 = ((uint64_t)(arg1[10]) << 29); + x23 = ((uint64_t)(arg1[9]) << 21); + x24 = ((uint64_t)(arg1[8]) << 13); + x25 = ((uint64_t)(arg1[7]) << 5); + x26 = ((uint64_t)(arg1[6]) << 48); + x27 = ((uint64_t)(arg1[5]) << 40); + x28 = ((uint64_t)(arg1[4]) << 32); + x29 = ((uint64_t)(arg1[3]) << 24); + x30 = ((uint64_t)(arg1[2]) << 16); + x31 = ((uint64_t)(arg1[1]) << 8); + x32 = (arg1[0]); + x33 = (x31 + (uint64_t)x32); + x34 = (x30 + x33); + x35 = (x29 + x34); + x36 = (x28 + x35); + x37 = (x27 + x36); + x38 = (x26 + x37); + x39 = (x38 & UINT64_C(0x7ffffffffffff)); + x40 = (uint8_t)(x38 >> 51); + x41 = (x25 + (uint64_t)x40); + x42 = (x24 + x41); + x43 = (x23 + x42); + x44 = (x22 + x43); + x45 = (x21 + x44); + x46 = (x20 + x45); + x47 = (x46 & UINT64_C(0x7ffffffffffff)); + x48 = (uint8_t)(x46 >> 51); + x49 = (x19 + (uint64_t)x48); + x50 = (x18 + x49); + x51 = (x17 + x50); + x52 = (x16 + x51); + x53 = (x15 + x52); + x54 = (x14 + x53); + x55 = (x13 + x54); + x56 = (x55 & UINT64_C(0x7ffffffffffff)); + x57 = (uint8_t)(x55 >> 51); + x58 = (x12 + (uint64_t)x57); + x59 = (x11 + x58); + x60 = (x10 + x59); + x61 = (x9 + x60); + x62 = (x8 + x61); + x63 = (x7 + x62); + x64 = (x63 & UINT64_C(0x7ffffffffffff)); + x65 = (uint8_t)(x63 >> 51); + x66 = (x6 + (uint64_t)x65); + x67 = (x5 + x66); + x68 = (x4 + x67); + x69 = (x3 + x68); + x70 = (x2 + x69); + x71 = (x1 + x70); + out1[0] = x39; + out1[1] = x47; + out1[2] = x56; + out1[3] = x64; + out1[4] = x71; } #else /* defined(BORINGSSL_CURVE25519_64BIT) */ -/* Autogenerated */ +/* Autogenerated: 'src/ExtractionOCaml/unsaturated_solinas' --inline --static --use-value-barrier 25519 32 '(auto)' '2^255 - 19' carry_mul carry_square carry add sub opp selectznz to_bytes from_bytes relax carry_scmul121666 */ /* curve description: 25519 */ -/* requested operations: carry_mul, carry_square, carry_scmul121666, carry, add, sub, opp, selectznz, to_bytes, from_bytes */ -/* n = 10 (from "10") */ -/* s = 0x8000000000000000000000000000000000000000000000000000000000000000 (from "2^255") */ -/* c = [(1, 19)] (from "1,19") */ /* machine_wordsize = 32 (from "32") */ +/* requested operations: carry_mul, carry_square, carry, add, sub, opp, selectznz, to_bytes, from_bytes, relax, carry_scmul121666 */ +/* n = 10 (from "(auto)") */ +/* s-c = 2^255 - [(1, 19)] (from "2^255 - 19") */ +/* tight_bounds_multiplier = 1 (from "") */ +/* */ +/* Computed values: */ +/* carry_chain = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1] */ +/* eval z = z[0] + (z[1] << 26) + (z[2] << 51) + (z[3] << 77) + (z[4] << 102) + (z[5] << 128) + (z[6] << 153) + (z[7] << 179) + (z[8] << 204) + (z[9] << 230) */ +/* 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) */ +/* balance = [0x7ffffda, 0x3fffffe, 0x7fffffe, 0x3fffffe, 0x7fffffe, 0x3fffffe, 0x7fffffe, 0x3fffffe, 0x7fffffe, 0x3fffffe] */ #include typedef unsigned char fiat_25519_uint1; typedef signed char fiat_25519_int1; +#if defined(__GNUC__) || defined(__clang__) +# define FIAT_25519_FIAT_INLINE __inline__ +#else +# define FIAT_25519_FIAT_INLINE +#endif + +/* The type fiat_25519_loose_field_element is a field element with loose bounds. */ +/* Bounds: [[0x0 ~> 0xc000000], [0x0 ~> 0x6000000], [0x0 ~> 0xc000000], [0x0 ~> 0x6000000], [0x0 ~> 0xc000000], [0x0 ~> 0x6000000], [0x0 ~> 0xc000000], [0x0 ~> 0x6000000], [0x0 ~> 0xc000000], [0x0 ~> 0x6000000]] */ +typedef uint32_t fiat_25519_loose_field_element[10]; + +/* The type fiat_25519_tight_field_element is a field element with tight bounds. */ +/* Bounds: [[0x0 ~> 0x4000000], [0x0 ~> 0x2000000], [0x0 ~> 0x4000000], [0x0 ~> 0x2000000], [0x0 ~> 0x4000000], [0x0 ~> 0x2000000], [0x0 ~> 0x4000000], [0x0 ~> 0x2000000], [0x0 ~> 0x4000000], [0x0 ~> 0x2000000]] */ +typedef uint32_t fiat_25519_tight_field_element[10]; + +#if (-1 & 3) != 3 +#error "This code only works on a two's complement system" +#endif + +#if !defined(FIAT_25519_NO_ASM) && (defined(__GNUC__) || defined(__clang__)) +static __inline__ uint32_t fiat_25519_value_barrier_u32(uint32_t a) { + __asm__("" : "+r"(a) : /* no inputs */); + return a; +} +#else +# define fiat_25519_value_barrier_u32(x) (x) +#endif /* + * 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] @@ -510,15 +910,24 @@ typedef signed char fiat_25519_int1; * out1: [0x0 ~> 0x3ffffff] * out2: [0x0 ~> 0x1] */ -static void fiat_25519_addcarryx_u26(uint32_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint32_t arg2, uint32_t arg3) { - uint32_t x1 = ((arg1 + arg2) + arg3); - uint32_t x2 = (x1 & UINT32_C(0x3ffffff)); - fiat_25519_uint1 x3 = (fiat_25519_uint1)(x1 >> 26); +static FIAT_25519_FIAT_INLINE void fiat_25519_addcarryx_u26(uint32_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint32_t arg2, uint32_t arg3) { + uint32_t x1; + uint32_t x2; + fiat_25519_uint1 x3; + x1 = ((arg1 + arg2) + arg3); + x2 = (x1 & UINT32_C(0x3ffffff)); + x3 = (fiat_25519_uint1)(x1 >> 26); *out1 = x2; *out2 = x3; } /* + * 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] @@ -527,15 +936,24 @@ static void fiat_25519_addcarryx_u26(uint32_t* out1, fiat_25519_uint1* out2, fia * out1: [0x0 ~> 0x3ffffff] * out2: [0x0 ~> 0x1] */ -static void fiat_25519_subborrowx_u26(uint32_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint32_t arg2, uint32_t arg3) { - int32_t x1 = ((int32_t)(arg2 - arg1) - (int32_t)arg3); - fiat_25519_int1 x2 = (fiat_25519_int1)(x1 >> 26); - uint32_t x3 = (x1 & UINT32_C(0x3ffffff)); +static FIAT_25519_FIAT_INLINE void fiat_25519_subborrowx_u26(uint32_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint32_t arg2, uint32_t arg3) { + int32_t x1; + fiat_25519_int1 x2; + uint32_t x3; + x1 = ((int32_t)(arg2 - arg1) - (int32_t)arg3); + x2 = (fiat_25519_int1)(x1 >> 26); + x3 = (x1 & UINT32_C(0x3ffffff)); *out1 = x3; *out2 = (fiat_25519_uint1)(0x0 - x2); } /* + * 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] @@ -544,15 +962,24 @@ static void fiat_25519_subborrowx_u26(uint32_t* out1, fiat_25519_uint1* out2, fi * out1: [0x0 ~> 0x1ffffff] * out2: [0x0 ~> 0x1] */ -static void fiat_25519_addcarryx_u25(uint32_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint32_t arg2, uint32_t arg3) { - uint32_t x1 = ((arg1 + arg2) + arg3); - uint32_t x2 = (x1 & UINT32_C(0x1ffffff)); - fiat_25519_uint1 x3 = (fiat_25519_uint1)(x1 >> 25); +static FIAT_25519_FIAT_INLINE void fiat_25519_addcarryx_u25(uint32_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint32_t arg2, uint32_t arg3) { + uint32_t x1; + uint32_t x2; + fiat_25519_uint1 x3; + x1 = ((arg1 + arg2) + arg3); + x2 = (x1 & UINT32_C(0x1ffffff)); + x3 = (fiat_25519_uint1)(x1 >> 25); *out1 = x2; *out2 = x3; } /* + * 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] @@ -561,15 +988,23 @@ static void fiat_25519_addcarryx_u25(uint32_t* out1, fiat_25519_uint1* out2, fia * out1: [0x0 ~> 0x1ffffff] * out2: [0x0 ~> 0x1] */ -static void fiat_25519_subborrowx_u25(uint32_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint32_t arg2, uint32_t arg3) { - int32_t x1 = ((int32_t)(arg2 - arg1) - (int32_t)arg3); - fiat_25519_int1 x2 = (fiat_25519_int1)(x1 >> 25); - uint32_t x3 = (x1 & UINT32_C(0x1ffffff)); +static FIAT_25519_FIAT_INLINE void fiat_25519_subborrowx_u25(uint32_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint32_t arg2, uint32_t arg3) { + int32_t x1; + fiat_25519_int1 x2; + uint32_t x3; + x1 = ((int32_t)(arg2 - arg1) - (int32_t)arg3); + x2 = (fiat_25519_int1)(x1 >> 25); + x3 = (x1 & UINT32_C(0x1ffffff)); *out1 = x3; *out2 = (fiat_25519_uint1)(0x0 - x2); } /* + * 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] @@ -577,168 +1012,318 @@ static void fiat_25519_subborrowx_u25(uint32_t* out1, fiat_25519_uint1* out2, fi * Output Bounds: * out1: [0x0 ~> 0xffffffff] */ -static void fiat_25519_cmovznz_u32(uint32_t* out1, fiat_25519_uint1 arg1, uint32_t arg2, uint32_t arg3) { - fiat_25519_uint1 x1 = (!(!arg1)); - uint32_t x2 = ((fiat_25519_int1)(0x0 - x1) & UINT32_C(0xffffffff)); - uint32_t x3 = ((x2 & arg3) | ((~x2) & arg2)); +static FIAT_25519_FIAT_INLINE void fiat_25519_cmovznz_u32(uint32_t* out1, fiat_25519_uint1 arg1, uint32_t arg2, uint32_t arg3) { + fiat_25519_uint1 x1; + uint32_t x2; + uint32_t x3; + x1 = (!(!arg1)); + x2 = ((fiat_25519_int1)(0x0 - x1) & UINT32_C(0xffffffff)); + x3 = ((fiat_25519_value_barrier_u32(x2) & arg3) | (fiat_25519_value_barrier_u32((~x2)) & arg2)); *out1 = x3; } /* - * Input Bounds: - * arg1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]] - * arg2: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]] - * Output Bounds: - * out1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] + * 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 + * */ -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); +static FIAT_25519_FIAT_INLINE void fiat_25519_carry_mul(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1, const fiat_25519_loose_field_element arg2) { + uint64_t x1; + uint64_t x2; + uint64_t x3; + uint64_t x4; + uint64_t x5; + uint64_t x6; + uint64_t x7; + uint64_t x8; + uint64_t x9; + uint64_t x10; + uint64_t x11; + uint64_t x12; + uint64_t x13; + uint64_t x14; + uint64_t x15; + uint64_t x16; + uint64_t x17; + uint64_t x18; + uint64_t x19; + uint64_t x20; + uint64_t x21; + uint64_t x22; + uint64_t x23; + uint64_t x24; + uint64_t x25; + uint64_t x26; + uint64_t x27; + uint64_t x28; + uint64_t x29; + uint64_t x30; + uint64_t x31; + uint64_t x32; + uint64_t x33; + uint64_t x34; + uint64_t x35; + uint64_t x36; + uint64_t x37; + uint64_t x38; + uint64_t x39; + uint64_t x40; + uint64_t x41; + uint64_t x42; + uint64_t x43; + uint64_t x44; + uint64_t x45; + uint64_t x46; + uint64_t x47; + uint64_t x48; + uint64_t x49; + uint64_t x50; + uint64_t x51; + uint64_t x52; + uint64_t x53; + uint64_t x54; + uint64_t x55; + uint64_t x56; + uint64_t x57; + uint64_t x58; + uint64_t x59; + uint64_t x60; + uint64_t x61; + uint64_t x62; + uint64_t x63; + uint64_t x64; + uint64_t x65; + uint64_t x66; + uint64_t x67; + uint64_t x68; + uint64_t x69; + uint64_t x70; + uint64_t x71; + uint64_t x72; + uint64_t x73; + uint64_t x74; + uint64_t x75; + uint64_t x76; + uint64_t x77; + uint64_t x78; + uint64_t x79; + uint64_t x80; + uint64_t x81; + uint64_t x82; + uint64_t x83; + uint64_t x84; + uint64_t x85; + uint64_t x86; + uint64_t x87; + uint64_t x88; + uint64_t x89; + uint64_t x90; + uint64_t x91; + uint64_t x92; + uint64_t x93; + uint64_t x94; + uint64_t x95; + uint64_t x96; + uint64_t x97; + uint64_t x98; + uint64_t x99; + uint64_t x100; + uint64_t x101; + uint64_t x102; + uint32_t x103; + uint64_t x104; + uint64_t x105; + uint64_t x106; + uint64_t x107; + uint64_t x108; + uint64_t x109; + uint64_t x110; + uint64_t x111; + uint64_t x112; + uint64_t x113; + uint64_t x114; + uint32_t x115; + uint64_t x116; + uint64_t x117; + uint32_t x118; + uint64_t x119; + uint64_t x120; + uint32_t x121; + uint64_t x122; + uint64_t x123; + uint32_t x124; + uint64_t x125; + uint64_t x126; + uint32_t x127; + uint64_t x128; + uint64_t x129; + uint32_t x130; + uint64_t x131; + uint64_t x132; + uint32_t x133; + uint64_t x134; + uint64_t x135; + uint32_t x136; + uint64_t x137; + uint64_t x138; + uint32_t x139; + uint64_t x140; + uint64_t x141; + uint32_t x142; + uint32_t x143; + uint32_t x144; + fiat_25519_uint1 x145; + uint32_t x146; + uint32_t x147; + x1 = ((uint64_t)(arg1[9]) * ((arg2[9]) * UINT8_C(0x26))); + x2 = ((uint64_t)(arg1[9]) * ((arg2[8]) * UINT8_C(0x13))); + x3 = ((uint64_t)(arg1[9]) * ((arg2[7]) * UINT8_C(0x26))); + x4 = ((uint64_t)(arg1[9]) * ((arg2[6]) * UINT8_C(0x13))); + x5 = ((uint64_t)(arg1[9]) * ((arg2[5]) * UINT8_C(0x26))); + x6 = ((uint64_t)(arg1[9]) * ((arg2[4]) * UINT8_C(0x13))); + x7 = ((uint64_t)(arg1[9]) * ((arg2[3]) * UINT8_C(0x26))); + x8 = ((uint64_t)(arg1[9]) * ((arg2[2]) * UINT8_C(0x13))); + x9 = ((uint64_t)(arg1[9]) * ((arg2[1]) * UINT8_C(0x26))); + x10 = ((uint64_t)(arg1[8]) * ((arg2[9]) * UINT8_C(0x13))); + x11 = ((uint64_t)(arg1[8]) * ((arg2[8]) * UINT8_C(0x13))); + x12 = ((uint64_t)(arg1[8]) * ((arg2[7]) * UINT8_C(0x13))); + x13 = ((uint64_t)(arg1[8]) * ((arg2[6]) * UINT8_C(0x13))); + x14 = ((uint64_t)(arg1[8]) * ((arg2[5]) * UINT8_C(0x13))); + x15 = ((uint64_t)(arg1[8]) * ((arg2[4]) * UINT8_C(0x13))); + x16 = ((uint64_t)(arg1[8]) * ((arg2[3]) * UINT8_C(0x13))); + x17 = ((uint64_t)(arg1[8]) * ((arg2[2]) * UINT8_C(0x13))); + x18 = ((uint64_t)(arg1[7]) * ((arg2[9]) * UINT8_C(0x26))); + x19 = ((uint64_t)(arg1[7]) * ((arg2[8]) * UINT8_C(0x13))); + x20 = ((uint64_t)(arg1[7]) * ((arg2[7]) * UINT8_C(0x26))); + x21 = ((uint64_t)(arg1[7]) * ((arg2[6]) * UINT8_C(0x13))); + x22 = ((uint64_t)(arg1[7]) * ((arg2[5]) * UINT8_C(0x26))); + x23 = ((uint64_t)(arg1[7]) * ((arg2[4]) * UINT8_C(0x13))); + x24 = ((uint64_t)(arg1[7]) * ((arg2[3]) * UINT8_C(0x26))); + x25 = ((uint64_t)(arg1[6]) * ((arg2[9]) * UINT8_C(0x13))); + x26 = ((uint64_t)(arg1[6]) * ((arg2[8]) * UINT8_C(0x13))); + x27 = ((uint64_t)(arg1[6]) * ((arg2[7]) * UINT8_C(0x13))); + x28 = ((uint64_t)(arg1[6]) * ((arg2[6]) * UINT8_C(0x13))); + x29 = ((uint64_t)(arg1[6]) * ((arg2[5]) * UINT8_C(0x13))); + x30 = ((uint64_t)(arg1[6]) * ((arg2[4]) * UINT8_C(0x13))); + x31 = ((uint64_t)(arg1[5]) * ((arg2[9]) * UINT8_C(0x26))); + x32 = ((uint64_t)(arg1[5]) * ((arg2[8]) * UINT8_C(0x13))); + x33 = ((uint64_t)(arg1[5]) * ((arg2[7]) * UINT8_C(0x26))); + x34 = ((uint64_t)(arg1[5]) * ((arg2[6]) * UINT8_C(0x13))); + x35 = ((uint64_t)(arg1[5]) * ((arg2[5]) * UINT8_C(0x26))); + x36 = ((uint64_t)(arg1[4]) * ((arg2[9]) * UINT8_C(0x13))); + x37 = ((uint64_t)(arg1[4]) * ((arg2[8]) * UINT8_C(0x13))); + x38 = ((uint64_t)(arg1[4]) * ((arg2[7]) * UINT8_C(0x13))); + x39 = ((uint64_t)(arg1[4]) * ((arg2[6]) * UINT8_C(0x13))); + x40 = ((uint64_t)(arg1[3]) * ((arg2[9]) * UINT8_C(0x26))); + x41 = ((uint64_t)(arg1[3]) * ((arg2[8]) * UINT8_C(0x13))); + x42 = ((uint64_t)(arg1[3]) * ((arg2[7]) * UINT8_C(0x26))); + x43 = ((uint64_t)(arg1[2]) * ((arg2[9]) * UINT8_C(0x13))); + x44 = ((uint64_t)(arg1[2]) * ((arg2[8]) * UINT8_C(0x13))); + x45 = ((uint64_t)(arg1[1]) * ((arg2[9]) * UINT8_C(0x26))); + x46 = ((uint64_t)(arg1[9]) * (arg2[0])); + x47 = ((uint64_t)(arg1[8]) * (arg2[1])); + x48 = ((uint64_t)(arg1[8]) * (arg2[0])); + x49 = ((uint64_t)(arg1[7]) * (arg2[2])); + x50 = ((uint64_t)(arg1[7]) * ((arg2[1]) * 0x2)); + x51 = ((uint64_t)(arg1[7]) * (arg2[0])); + x52 = ((uint64_t)(arg1[6]) * (arg2[3])); + x53 = ((uint64_t)(arg1[6]) * (arg2[2])); + x54 = ((uint64_t)(arg1[6]) * (arg2[1])); + x55 = ((uint64_t)(arg1[6]) * (arg2[0])); + x56 = ((uint64_t)(arg1[5]) * (arg2[4])); + x57 = ((uint64_t)(arg1[5]) * ((arg2[3]) * 0x2)); + x58 = ((uint64_t)(arg1[5]) * (arg2[2])); + x59 = ((uint64_t)(arg1[5]) * ((arg2[1]) * 0x2)); + x60 = ((uint64_t)(arg1[5]) * (arg2[0])); + x61 = ((uint64_t)(arg1[4]) * (arg2[5])); + x62 = ((uint64_t)(arg1[4]) * (arg2[4])); + x63 = ((uint64_t)(arg1[4]) * (arg2[3])); + x64 = ((uint64_t)(arg1[4]) * (arg2[2])); + x65 = ((uint64_t)(arg1[4]) * (arg2[1])); + x66 = ((uint64_t)(arg1[4]) * (arg2[0])); + x67 = ((uint64_t)(arg1[3]) * (arg2[6])); + x68 = ((uint64_t)(arg1[3]) * ((arg2[5]) * 0x2)); + x69 = ((uint64_t)(arg1[3]) * (arg2[4])); + x70 = ((uint64_t)(arg1[3]) * ((arg2[3]) * 0x2)); + x71 = ((uint64_t)(arg1[3]) * (arg2[2])); + x72 = ((uint64_t)(arg1[3]) * ((arg2[1]) * 0x2)); + x73 = ((uint64_t)(arg1[3]) * (arg2[0])); + x74 = ((uint64_t)(arg1[2]) * (arg2[7])); + x75 = ((uint64_t)(arg1[2]) * (arg2[6])); + x76 = ((uint64_t)(arg1[2]) * (arg2[5])); + x77 = ((uint64_t)(arg1[2]) * (arg2[4])); + x78 = ((uint64_t)(arg1[2]) * (arg2[3])); + x79 = ((uint64_t)(arg1[2]) * (arg2[2])); + x80 = ((uint64_t)(arg1[2]) * (arg2[1])); + x81 = ((uint64_t)(arg1[2]) * (arg2[0])); + x82 = ((uint64_t)(arg1[1]) * (arg2[8])); + x83 = ((uint64_t)(arg1[1]) * ((arg2[7]) * 0x2)); + x84 = ((uint64_t)(arg1[1]) * (arg2[6])); + x85 = ((uint64_t)(arg1[1]) * ((arg2[5]) * 0x2)); + x86 = ((uint64_t)(arg1[1]) * (arg2[4])); + x87 = ((uint64_t)(arg1[1]) * ((arg2[3]) * 0x2)); + x88 = ((uint64_t)(arg1[1]) * (arg2[2])); + x89 = ((uint64_t)(arg1[1]) * ((arg2[1]) * 0x2)); + x90 = ((uint64_t)(arg1[1]) * (arg2[0])); + x91 = ((uint64_t)(arg1[0]) * (arg2[9])); + x92 = ((uint64_t)(arg1[0]) * (arg2[8])); + x93 = ((uint64_t)(arg1[0]) * (arg2[7])); + x94 = ((uint64_t)(arg1[0]) * (arg2[6])); + x95 = ((uint64_t)(arg1[0]) * (arg2[5])); + x96 = ((uint64_t)(arg1[0]) * (arg2[4])); + x97 = ((uint64_t)(arg1[0]) * (arg2[3])); + x98 = ((uint64_t)(arg1[0]) * (arg2[2])); + x99 = ((uint64_t)(arg1[0]) * (arg2[1])); + x100 = ((uint64_t)(arg1[0]) * (arg2[0])); + x101 = (x100 + (x45 + (x44 + (x42 + (x39 + (x35 + (x30 + (x24 + (x17 + x9))))))))); + x102 = (x101 >> 26); + x103 = (uint32_t)(x101 & UINT32_C(0x3ffffff)); + x104 = (x91 + (x82 + (x74 + (x67 + (x61 + (x56 + (x52 + (x49 + (x47 + x46))))))))); + x105 = (x92 + (x83 + (x75 + (x68 + (x62 + (x57 + (x53 + (x50 + (x48 + x1))))))))); + x106 = (x93 + (x84 + (x76 + (x69 + (x63 + (x58 + (x54 + (x51 + (x10 + x2))))))))); + x107 = (x94 + (x85 + (x77 + (x70 + (x64 + (x59 + (x55 + (x18 + (x11 + x3))))))))); + x108 = (x95 + (x86 + (x78 + (x71 + (x65 + (x60 + (x25 + (x19 + (x12 + x4))))))))); + x109 = (x96 + (x87 + (x79 + (x72 + (x66 + (x31 + (x26 + (x20 + (x13 + x5))))))))); + x110 = (x97 + (x88 + (x80 + (x73 + (x36 + (x32 + (x27 + (x21 + (x14 + x6))))))))); + x111 = (x98 + (x89 + (x81 + (x40 + (x37 + (x33 + (x28 + (x22 + (x15 + x7))))))))); + x112 = (x99 + (x90 + (x43 + (x41 + (x38 + (x34 + (x29 + (x23 + (x16 + x8))))))))); + x113 = (x102 + x112); + x114 = (x113 >> 25); + x115 = (uint32_t)(x113 & UINT32_C(0x1ffffff)); + x116 = (x114 + x111); + x117 = (x116 >> 26); + x118 = (uint32_t)(x116 & UINT32_C(0x3ffffff)); + x119 = (x117 + x110); + x120 = (x119 >> 25); + x121 = (uint32_t)(x119 & UINT32_C(0x1ffffff)); + x122 = (x120 + x109); + x123 = (x122 >> 26); + x124 = (uint32_t)(x122 & UINT32_C(0x3ffffff)); + x125 = (x123 + x108); + x126 = (x125 >> 25); + x127 = (uint32_t)(x125 & UINT32_C(0x1ffffff)); + x128 = (x126 + x107); + x129 = (x128 >> 26); + x130 = (uint32_t)(x128 & UINT32_C(0x3ffffff)); + x131 = (x129 + x106); + x132 = (x131 >> 25); + x133 = (uint32_t)(x131 & UINT32_C(0x1ffffff)); + x134 = (x132 + x105); + x135 = (x134 >> 26); + x136 = (uint32_t)(x134 & UINT32_C(0x3ffffff)); + x137 = (x135 + x104); + x138 = (x137 >> 25); + x139 = (uint32_t)(x137 & UINT32_C(0x1ffffff)); + x140 = (x138 * UINT8_C(0x13)); + x141 = (x103 + x140); + x142 = (uint32_t)(x141 >> 26); + x143 = (uint32_t)(x141 & UINT32_C(0x3ffffff)); + x144 = (x142 + x115); + x145 = (fiat_25519_uint1)(x144 >> 25); + x146 = (x144 & UINT32_C(0x1ffffff)); + x147 = (x145 + x118); out1[0] = x143; out1[1] = x146; out1[2] = x147; @@ -752,132 +1337,253 @@ static void fiat_25519_carry_mul(uint32_t out1[10], const uint32_t arg1[10], con } /* - * Input Bounds: - * arg1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]] - * Output Bounds: - * out1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] + * The function fiat_25519_carry_square squares a field element and reduces the result. + * + * Postconditions: + * eval out1 mod m = (eval arg1 * eval arg1) mod m + * */ -static void fiat_25519_carry_square(uint32_t out1[10], const uint32_t arg1[10]) { - uint32_t x1 = ((arg1[9]) * (uint32_t)UINT8_C(0x13)); - uint32_t x2 = (x1 * (uint32_t)0x2); - uint32_t x3 = ((arg1[9]) * (uint32_t)0x2); - uint32_t x4 = ((arg1[8]) * (uint32_t)UINT8_C(0x13)); - uint64_t x5 = (x4 * (uint64_t)0x2); - uint32_t x6 = ((arg1[8]) * (uint32_t)0x2); - uint32_t x7 = ((arg1[7]) * (uint32_t)UINT8_C(0x13)); - uint32_t x8 = (x7 * (uint32_t)0x2); - uint32_t x9 = ((arg1[7]) * (uint32_t)0x2); - uint32_t x10 = ((arg1[6]) * (uint32_t)UINT8_C(0x13)); - uint64_t x11 = (x10 * (uint64_t)0x2); - uint32_t x12 = ((arg1[6]) * (uint32_t)0x2); - uint32_t x13 = ((arg1[5]) * (uint32_t)UINT8_C(0x13)); - uint32_t x14 = ((arg1[5]) * (uint32_t)0x2); - uint32_t x15 = ((arg1[4]) * (uint32_t)0x2); - uint32_t x16 = ((arg1[3]) * (uint32_t)0x2); - uint32_t x17 = ((arg1[2]) * (uint32_t)0x2); - uint32_t x18 = ((arg1[1]) * (uint32_t)0x2); - uint64_t x19 = ((uint64_t)(arg1[9]) * (x1 * (uint32_t)0x2)); - uint64_t x20 = ((uint64_t)(arg1[8]) * x2); - uint64_t x21 = ((uint64_t)(arg1[8]) * x4); - uint64_t x22 = ((arg1[7]) * (x2 * (uint64_t)0x2)); - uint64_t x23 = ((arg1[7]) * x5); - uint64_t x24 = ((uint64_t)(arg1[7]) * (x7 * (uint32_t)0x2)); - uint64_t x25 = ((uint64_t)(arg1[6]) * x2); - uint64_t x26 = ((arg1[6]) * x5); - uint64_t x27 = ((uint64_t)(arg1[6]) * x8); - uint64_t x28 = ((uint64_t)(arg1[6]) * x10); - uint64_t x29 = ((arg1[5]) * (x2 * (uint64_t)0x2)); - uint64_t x30 = ((arg1[5]) * x5); - uint64_t x31 = ((arg1[5]) * (x8 * (uint64_t)0x2)); - uint64_t x32 = ((arg1[5]) * x11); - uint64_t x33 = ((uint64_t)(arg1[5]) * (x13 * (uint32_t)0x2)); - uint64_t x34 = ((uint64_t)(arg1[4]) * x2); - uint64_t x35 = ((arg1[4]) * x5); - uint64_t x36 = ((uint64_t)(arg1[4]) * x8); - uint64_t x37 = ((arg1[4]) * x11); - uint64_t x38 = ((uint64_t)(arg1[4]) * x14); - uint64_t x39 = ((uint64_t)(arg1[4]) * (arg1[4])); - uint64_t x40 = ((arg1[3]) * (x2 * (uint64_t)0x2)); - uint64_t x41 = ((arg1[3]) * x5); - uint64_t x42 = ((arg1[3]) * (x8 * (uint64_t)0x2)); - uint64_t x43 = ((uint64_t)(arg1[3]) * x12); - uint64_t x44 = ((uint64_t)(arg1[3]) * (x14 * (uint32_t)0x2)); - uint64_t x45 = ((uint64_t)(arg1[3]) * x15); - uint64_t x46 = ((uint64_t)(arg1[3]) * ((arg1[3]) * (uint32_t)0x2)); - uint64_t x47 = ((uint64_t)(arg1[2]) * x2); - uint64_t x48 = ((arg1[2]) * x5); - uint64_t x49 = ((uint64_t)(arg1[2]) * x9); - uint64_t x50 = ((uint64_t)(arg1[2]) * x12); - uint64_t x51 = ((uint64_t)(arg1[2]) * x14); - uint64_t x52 = ((uint64_t)(arg1[2]) * x15); - uint64_t x53 = ((uint64_t)(arg1[2]) * x16); - uint64_t x54 = ((uint64_t)(arg1[2]) * (arg1[2])); - uint64_t x55 = ((arg1[1]) * (x2 * (uint64_t)0x2)); - uint64_t x56 = ((uint64_t)(arg1[1]) * x6); - uint64_t x57 = ((uint64_t)(arg1[1]) * (x9 * (uint32_t)0x2)); - uint64_t x58 = ((uint64_t)(arg1[1]) * x12); - uint64_t x59 = ((uint64_t)(arg1[1]) * (x14 * (uint32_t)0x2)); - uint64_t x60 = ((uint64_t)(arg1[1]) * x15); - uint64_t x61 = ((uint64_t)(arg1[1]) * (x16 * (uint32_t)0x2)); - uint64_t x62 = ((uint64_t)(arg1[1]) * x17); - uint64_t x63 = ((uint64_t)(arg1[1]) * ((arg1[1]) * (uint32_t)0x2)); - uint64_t x64 = ((uint64_t)(arg1[0]) * x3); - uint64_t x65 = ((uint64_t)(arg1[0]) * x6); - uint64_t x66 = ((uint64_t)(arg1[0]) * x9); - uint64_t x67 = ((uint64_t)(arg1[0]) * x12); - uint64_t x68 = ((uint64_t)(arg1[0]) * x14); - uint64_t x69 = ((uint64_t)(arg1[0]) * x15); - uint64_t x70 = ((uint64_t)(arg1[0]) * x16); - uint64_t x71 = ((uint64_t)(arg1[0]) * x17); - uint64_t x72 = ((uint64_t)(arg1[0]) * x18); - uint64_t x73 = ((uint64_t)(arg1[0]) * (arg1[0])); - uint64_t x74 = (x73 + (x55 + (x48 + (x42 + (x37 + x33))))); - uint64_t x75 = (x74 >> 26); - uint32_t x76 = (uint32_t)(x74 & UINT32_C(0x3ffffff)); - uint64_t x77 = (x64 + (x56 + (x49 + (x43 + x38)))); - uint64_t x78 = (x65 + (x57 + (x50 + (x44 + (x39 + x19))))); - uint64_t x79 = (x66 + (x58 + (x51 + (x45 + x20)))); - uint64_t x80 = (x67 + (x59 + (x52 + (x46 + (x22 + x21))))); - uint64_t x81 = (x68 + (x60 + (x53 + (x25 + x23)))); - uint64_t x82 = (x69 + (x61 + (x54 + (x29 + (x26 + x24))))); - uint64_t x83 = (x70 + (x62 + (x34 + (x30 + x27)))); - uint64_t x84 = (x71 + (x63 + (x40 + (x35 + (x31 + x28))))); - uint64_t x85 = (x72 + (x47 + (x41 + (x36 + x32)))); - uint64_t x86 = (x75 + x85); - uint64_t x87 = (x86 >> 25); - uint32_t x88 = (uint32_t)(x86 & UINT32_C(0x1ffffff)); - uint64_t x89 = (x87 + x84); - uint64_t x90 = (x89 >> 26); - uint32_t x91 = (uint32_t)(x89 & UINT32_C(0x3ffffff)); - uint64_t x92 = (x90 + x83); - uint64_t x93 = (x92 >> 25); - uint32_t x94 = (uint32_t)(x92 & UINT32_C(0x1ffffff)); - uint64_t x95 = (x93 + x82); - uint64_t x96 = (x95 >> 26); - uint32_t x97 = (uint32_t)(x95 & UINT32_C(0x3ffffff)); - uint64_t x98 = (x96 + x81); - uint64_t x99 = (x98 >> 25); - uint32_t x100 = (uint32_t)(x98 & UINT32_C(0x1ffffff)); - uint64_t x101 = (x99 + x80); - uint64_t x102 = (x101 >> 26); - uint32_t x103 = (uint32_t)(x101 & UINT32_C(0x3ffffff)); - uint64_t x104 = (x102 + x79); - uint64_t x105 = (x104 >> 25); - uint32_t x106 = (uint32_t)(x104 & UINT32_C(0x1ffffff)); - uint64_t x107 = (x105 + x78); - uint64_t x108 = (x107 >> 26); - uint32_t x109 = (uint32_t)(x107 & UINT32_C(0x3ffffff)); - uint64_t x110 = (x108 + x77); - uint64_t x111 = (x110 >> 25); - uint32_t x112 = (uint32_t)(x110 & UINT32_C(0x1ffffff)); - uint64_t x113 = (x111 * (uint64_t)UINT8_C(0x13)); - uint64_t x114 = (x76 + x113); - uint32_t x115 = (uint32_t)(x114 >> 26); - uint32_t x116 = (uint32_t)(x114 & UINT32_C(0x3ffffff)); - uint32_t x117 = (x115 + x88); - uint32_t x118 = (x117 >> 25); - uint32_t x119 = (x117 & UINT32_C(0x1ffffff)); - uint32_t x120 = (x118 + x91); +static FIAT_25519_FIAT_INLINE void fiat_25519_carry_square(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1) { + uint32_t x1; + uint32_t x2; + uint32_t x3; + uint32_t x4; + uint64_t x5; + uint32_t x6; + uint32_t x7; + uint32_t x8; + uint32_t x9; + uint32_t x10; + uint64_t x11; + uint32_t x12; + uint32_t x13; + uint32_t x14; + uint32_t x15; + uint32_t x16; + uint32_t x17; + uint32_t x18; + uint64_t x19; + uint64_t x20; + uint64_t x21; + uint64_t x22; + uint64_t x23; + uint64_t x24; + uint64_t x25; + uint64_t x26; + uint64_t x27; + uint64_t x28; + uint64_t x29; + uint64_t x30; + uint64_t x31; + uint64_t x32; + uint64_t x33; + uint64_t x34; + uint64_t x35; + uint64_t x36; + uint64_t x37; + uint64_t x38; + uint64_t x39; + uint64_t x40; + uint64_t x41; + uint64_t x42; + uint64_t x43; + uint64_t x44; + uint64_t x45; + uint64_t x46; + uint64_t x47; + uint64_t x48; + uint64_t x49; + uint64_t x50; + uint64_t x51; + uint64_t x52; + uint64_t x53; + uint64_t x54; + uint64_t x55; + uint64_t x56; + uint64_t x57; + uint64_t x58; + uint64_t x59; + uint64_t x60; + uint64_t x61; + uint64_t x62; + uint64_t x63; + uint64_t x64; + uint64_t x65; + uint64_t x66; + uint64_t x67; + uint64_t x68; + uint64_t x69; + uint64_t x70; + uint64_t x71; + uint64_t x72; + uint64_t x73; + uint64_t x74; + uint64_t x75; + uint32_t x76; + uint64_t x77; + uint64_t x78; + uint64_t x79; + uint64_t x80; + uint64_t x81; + uint64_t x82; + uint64_t x83; + uint64_t x84; + uint64_t x85; + uint64_t x86; + uint64_t x87; + uint32_t x88; + uint64_t x89; + uint64_t x90; + uint32_t x91; + uint64_t x92; + uint64_t x93; + uint32_t x94; + uint64_t x95; + uint64_t x96; + uint32_t x97; + uint64_t x98; + uint64_t x99; + uint32_t x100; + uint64_t x101; + uint64_t x102; + uint32_t x103; + uint64_t x104; + uint64_t x105; + uint32_t x106; + uint64_t x107; + uint64_t x108; + uint32_t x109; + uint64_t x110; + uint64_t x111; + uint32_t x112; + uint64_t x113; + uint64_t x114; + uint32_t x115; + uint32_t x116; + uint32_t x117; + fiat_25519_uint1 x118; + uint32_t x119; + uint32_t x120; + x1 = ((arg1[9]) * UINT8_C(0x13)); + x2 = (x1 * 0x2); + x3 = ((arg1[9]) * 0x2); + x4 = ((arg1[8]) * UINT8_C(0x13)); + x5 = ((uint64_t)x4 * 0x2); + x6 = ((arg1[8]) * 0x2); + x7 = ((arg1[7]) * UINT8_C(0x13)); + x8 = (x7 * 0x2); + x9 = ((arg1[7]) * 0x2); + x10 = ((arg1[6]) * UINT8_C(0x13)); + x11 = ((uint64_t)x10 * 0x2); + x12 = ((arg1[6]) * 0x2); + x13 = ((arg1[5]) * UINT8_C(0x13)); + x14 = ((arg1[5]) * 0x2); + x15 = ((arg1[4]) * 0x2); + x16 = ((arg1[3]) * 0x2); + x17 = ((arg1[2]) * 0x2); + x18 = ((arg1[1]) * 0x2); + x19 = ((uint64_t)(arg1[9]) * (x1 * 0x2)); + x20 = ((uint64_t)(arg1[8]) * x2); + x21 = ((uint64_t)(arg1[8]) * x4); + x22 = ((arg1[7]) * ((uint64_t)x2 * 0x2)); + x23 = ((arg1[7]) * x5); + x24 = ((uint64_t)(arg1[7]) * (x7 * 0x2)); + x25 = ((uint64_t)(arg1[6]) * x2); + x26 = ((arg1[6]) * x5); + x27 = ((uint64_t)(arg1[6]) * x8); + x28 = ((uint64_t)(arg1[6]) * x10); + x29 = ((arg1[5]) * ((uint64_t)x2 * 0x2)); + x30 = ((arg1[5]) * x5); + x31 = ((arg1[5]) * ((uint64_t)x8 * 0x2)); + x32 = ((arg1[5]) * x11); + x33 = ((uint64_t)(arg1[5]) * (x13 * 0x2)); + x34 = ((uint64_t)(arg1[4]) * x2); + x35 = ((arg1[4]) * x5); + x36 = ((uint64_t)(arg1[4]) * x8); + x37 = ((arg1[4]) * x11); + x38 = ((uint64_t)(arg1[4]) * x14); + x39 = ((uint64_t)(arg1[4]) * (arg1[4])); + x40 = ((arg1[3]) * ((uint64_t)x2 * 0x2)); + x41 = ((arg1[3]) * x5); + x42 = ((arg1[3]) * ((uint64_t)x8 * 0x2)); + x43 = ((uint64_t)(arg1[3]) * x12); + x44 = ((uint64_t)(arg1[3]) * (x14 * 0x2)); + x45 = ((uint64_t)(arg1[3]) * x15); + x46 = ((uint64_t)(arg1[3]) * ((arg1[3]) * 0x2)); + x47 = ((uint64_t)(arg1[2]) * x2); + x48 = ((arg1[2]) * x5); + x49 = ((uint64_t)(arg1[2]) * x9); + x50 = ((uint64_t)(arg1[2]) * x12); + x51 = ((uint64_t)(arg1[2]) * x14); + x52 = ((uint64_t)(arg1[2]) * x15); + x53 = ((uint64_t)(arg1[2]) * x16); + x54 = ((uint64_t)(arg1[2]) * (arg1[2])); + x55 = ((arg1[1]) * ((uint64_t)x2 * 0x2)); + x56 = ((uint64_t)(arg1[1]) * x6); + x57 = ((uint64_t)(arg1[1]) * (x9 * 0x2)); + x58 = ((uint64_t)(arg1[1]) * x12); + x59 = ((uint64_t)(arg1[1]) * (x14 * 0x2)); + x60 = ((uint64_t)(arg1[1]) * x15); + x61 = ((uint64_t)(arg1[1]) * (x16 * 0x2)); + x62 = ((uint64_t)(arg1[1]) * x17); + x63 = ((uint64_t)(arg1[1]) * ((arg1[1]) * 0x2)); + x64 = ((uint64_t)(arg1[0]) * x3); + x65 = ((uint64_t)(arg1[0]) * x6); + x66 = ((uint64_t)(arg1[0]) * x9); + x67 = ((uint64_t)(arg1[0]) * x12); + x68 = ((uint64_t)(arg1[0]) * x14); + x69 = ((uint64_t)(arg1[0]) * x15); + x70 = ((uint64_t)(arg1[0]) * x16); + x71 = ((uint64_t)(arg1[0]) * x17); + x72 = ((uint64_t)(arg1[0]) * x18); + x73 = ((uint64_t)(arg1[0]) * (arg1[0])); + x74 = (x73 + (x55 + (x48 + (x42 + (x37 + x33))))); + x75 = (x74 >> 26); + x76 = (uint32_t)(x74 & UINT32_C(0x3ffffff)); + x77 = (x64 + (x56 + (x49 + (x43 + x38)))); + x78 = (x65 + (x57 + (x50 + (x44 + (x39 + x19))))); + x79 = (x66 + (x58 + (x51 + (x45 + x20)))); + x80 = (x67 + (x59 + (x52 + (x46 + (x22 + x21))))); + x81 = (x68 + (x60 + (x53 + (x25 + x23)))); + x82 = (x69 + (x61 + (x54 + (x29 + (x26 + x24))))); + x83 = (x70 + (x62 + (x34 + (x30 + x27)))); + x84 = (x71 + (x63 + (x40 + (x35 + (x31 + x28))))); + x85 = (x72 + (x47 + (x41 + (x36 + x32)))); + x86 = (x75 + x85); + x87 = (x86 >> 25); + x88 = (uint32_t)(x86 & UINT32_C(0x1ffffff)); + x89 = (x87 + x84); + x90 = (x89 >> 26); + x91 = (uint32_t)(x89 & UINT32_C(0x3ffffff)); + x92 = (x90 + x83); + x93 = (x92 >> 25); + x94 = (uint32_t)(x92 & UINT32_C(0x1ffffff)); + x95 = (x93 + x82); + x96 = (x95 >> 26); + x97 = (uint32_t)(x95 & UINT32_C(0x3ffffff)); + x98 = (x96 + x81); + x99 = (x98 >> 25); + x100 = (uint32_t)(x98 & UINT32_C(0x1ffffff)); + x101 = (x99 + x80); + x102 = (x101 >> 26); + x103 = (uint32_t)(x101 & UINT32_C(0x3ffffff)); + x104 = (x102 + x79); + x105 = (x104 >> 25); + x106 = (uint32_t)(x104 & UINT32_C(0x1ffffff)); + x107 = (x105 + x78); + x108 = (x107 >> 26); + x109 = (uint32_t)(x107 & UINT32_C(0x3ffffff)); + x110 = (x108 + x77); + x111 = (x110 >> 25); + x112 = (uint32_t)(x110 & UINT32_C(0x1ffffff)); + x113 = (x111 * UINT8_C(0x13)); + x114 = (x76 + x113); + x115 = (uint32_t)(x114 >> 26); + x116 = (uint32_t)(x114 & UINT32_C(0x3ffffff)); + x117 = (x115 + x88); + x118 = (fiat_25519_uint1)(x117 >> 25); + x119 = (x117 & UINT32_C(0x1ffffff)); + x120 = (x118 + x91); out1[0] = x116; out1[1] = x119; out1[2] = x120; @@ -891,34 +1597,57 @@ static void fiat_25519_carry_square(uint32_t out1[10], const uint32_t arg1[10]) } /* - * Input Bounds: - * arg1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]] - * Output Bounds: - * out1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] + * The function fiat_25519_carry reduces a field element. + * + * Postconditions: + * eval out1 mod m = eval arg1 mod m + * */ -static void fiat_25519_carry(uint32_t out1[10], const uint32_t arg1[10]) { - uint32_t x1 = (arg1[0]); - uint32_t x2 = ((x1 >> 26) + (arg1[1])); - uint32_t x3 = ((x2 >> 25) + (arg1[2])); - uint32_t x4 = ((x3 >> 26) + (arg1[3])); - uint32_t x5 = ((x4 >> 25) + (arg1[4])); - uint32_t x6 = ((x5 >> 26) + (arg1[5])); - uint32_t x7 = ((x6 >> 25) + (arg1[6])); - uint32_t x8 = ((x7 >> 26) + (arg1[7])); - uint32_t x9 = ((x8 >> 25) + (arg1[8])); - uint32_t x10 = ((x9 >> 26) + (arg1[9])); - uint32_t x11 = ((x1 & UINT32_C(0x3ffffff)) + ((x10 >> 25) * (uint32_t)UINT8_C(0x13))); - uint32_t x12 = ((x11 >> 26) + (x2 & UINT32_C(0x1ffffff))); - uint32_t x13 = (x11 & UINT32_C(0x3ffffff)); - uint32_t x14 = (x12 & UINT32_C(0x1ffffff)); - uint32_t x15 = ((x12 >> 25) + (x3 & UINT32_C(0x3ffffff))); - uint32_t x16 = (x4 & UINT32_C(0x1ffffff)); - uint32_t x17 = (x5 & UINT32_C(0x3ffffff)); - uint32_t x18 = (x6 & UINT32_C(0x1ffffff)); - uint32_t x19 = (x7 & UINT32_C(0x3ffffff)); - uint32_t x20 = (x8 & UINT32_C(0x1ffffff)); - uint32_t x21 = (x9 & UINT32_C(0x3ffffff)); - uint32_t x22 = (x10 & UINT32_C(0x1ffffff)); +static FIAT_25519_FIAT_INLINE void fiat_25519_carry(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1) { + uint32_t x1; + uint32_t x2; + uint32_t x3; + uint32_t x4; + uint32_t x5; + uint32_t x6; + uint32_t x7; + uint32_t x8; + uint32_t x9; + uint32_t x10; + uint32_t x11; + uint32_t x12; + uint32_t x13; + uint32_t x14; + uint32_t x15; + uint32_t x16; + uint32_t x17; + uint32_t x18; + uint32_t x19; + uint32_t x20; + uint32_t x21; + uint32_t x22; + x1 = (arg1[0]); + x2 = ((x1 >> 26) + (arg1[1])); + x3 = ((x2 >> 25) + (arg1[2])); + x4 = ((x3 >> 26) + (arg1[3])); + x5 = ((x4 >> 25) + (arg1[4])); + x6 = ((x5 >> 26) + (arg1[5])); + x7 = ((x6 >> 25) + (arg1[6])); + x8 = ((x7 >> 26) + (arg1[7])); + x9 = ((x8 >> 25) + (arg1[8])); + x10 = ((x9 >> 26) + (arg1[9])); + x11 = ((x1 & UINT32_C(0x3ffffff)) + ((x10 >> 25) * UINT8_C(0x13))); + x12 = ((fiat_25519_uint1)(x11 >> 26) + (x2 & UINT32_C(0x1ffffff))); + x13 = (x11 & UINT32_C(0x3ffffff)); + x14 = (x12 & UINT32_C(0x1ffffff)); + x15 = ((fiat_25519_uint1)(x12 >> 25) + (x3 & UINT32_C(0x3ffffff))); + x16 = (x4 & UINT32_C(0x1ffffff)); + x17 = (x5 & UINT32_C(0x3ffffff)); + x18 = (x6 & UINT32_C(0x1ffffff)); + x19 = (x7 & UINT32_C(0x3ffffff)); + x20 = (x8 & UINT32_C(0x1ffffff)); + x21 = (x9 & UINT32_C(0x3ffffff)); + x22 = (x10 & UINT32_C(0x1ffffff)); out1[0] = x13; out1[1] = x14; out1[2] = x15; @@ -932,23 +1661,33 @@ static void fiat_25519_carry(uint32_t out1[10], const uint32_t arg1[10]) { } /* - * Input Bounds: - * arg1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] - * arg2: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] - * Output Bounds: - * out1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]] + * The function fiat_25519_add adds two field elements. + * + * Postconditions: + * eval out1 mod m = (eval arg1 + eval arg2) mod m + * */ -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])); +static FIAT_25519_FIAT_INLINE void fiat_25519_add(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1, const fiat_25519_tight_field_element arg2) { + uint32_t x1; + uint32_t x2; + uint32_t x3; + uint32_t x4; + uint32_t x5; + uint32_t x6; + uint32_t x7; + uint32_t x8; + uint32_t x9; + uint32_t x10; + 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])); + x10 = ((arg1[9]) + (arg2[9])); out1[0] = x1; out1[1] = x2; out1[2] = x3; @@ -962,23 +1701,33 @@ static void fiat_25519_add(uint32_t out1[10], const uint32_t arg1[10], const uin } /* - * Input Bounds: - * arg1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] - * arg2: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] - * Output Bounds: - * out1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]] + * The function fiat_25519_sub subtracts two field elements. + * + * Postconditions: + * eval out1 mod m = (eval arg1 - eval arg2) mod m + * */ -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])); +static FIAT_25519_FIAT_INLINE void fiat_25519_sub(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1, const fiat_25519_tight_field_element arg2) { + uint32_t x1; + uint32_t x2; + uint32_t x3; + uint32_t x4; + uint32_t x5; + uint32_t x6; + uint32_t x7; + uint32_t x8; + uint32_t x9; + uint32_t x10; + x1 = ((UINT32_C(0x7ffffda) + (arg1[0])) - (arg2[0])); + x2 = ((UINT32_C(0x3fffffe) + (arg1[1])) - (arg2[1])); + x3 = ((UINT32_C(0x7fffffe) + (arg1[2])) - (arg2[2])); + x4 = ((UINT32_C(0x3fffffe) + (arg1[3])) - (arg2[3])); + x5 = ((UINT32_C(0x7fffffe) + (arg1[4])) - (arg2[4])); + x6 = ((UINT32_C(0x3fffffe) + (arg1[5])) - (arg2[5])); + x7 = ((UINT32_C(0x7fffffe) + (arg1[6])) - (arg2[6])); + x8 = ((UINT32_C(0x3fffffe) + (arg1[7])) - (arg2[7])); + x9 = ((UINT32_C(0x7fffffe) + (arg1[8])) - (arg2[8])); + x10 = ((UINT32_C(0x3fffffe) + (arg1[9])) - (arg2[9])); out1[0] = x1; out1[1] = x2; out1[2] = x3; @@ -992,22 +1741,33 @@ static void fiat_25519_sub(uint32_t out1[10], const uint32_t arg1[10], const uin } /* - * Input Bounds: - * arg1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] - * Output Bounds: - * out1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]] + * The function fiat_25519_opp negates a field element. + * + * Postconditions: + * eval out1 mod m = -eval arg1 mod m + * */ -static void fiat_25519_opp(uint32_t out1[10], const uint32_t arg1[10]) { - uint32_t x1 = (UINT32_C(0x7ffffda) - (arg1[0])); - uint32_t x2 = (UINT32_C(0x3fffffe) - (arg1[1])); - uint32_t x3 = (UINT32_C(0x7fffffe) - (arg1[2])); - uint32_t x4 = (UINT32_C(0x3fffffe) - (arg1[3])); - uint32_t x5 = (UINT32_C(0x7fffffe) - (arg1[4])); - uint32_t x6 = (UINT32_C(0x3fffffe) - (arg1[5])); - uint32_t x7 = (UINT32_C(0x7fffffe) - (arg1[6])); - uint32_t x8 = (UINT32_C(0x3fffffe) - (arg1[7])); - uint32_t x9 = (UINT32_C(0x7fffffe) - (arg1[8])); - uint32_t x10 = (UINT32_C(0x3fffffe) - (arg1[9])); +static FIAT_25519_FIAT_INLINE void fiat_25519_opp(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1) { + uint32_t x1; + uint32_t x2; + uint32_t x3; + uint32_t x4; + uint32_t x5; + uint32_t x6; + uint32_t x7; + uint32_t x8; + uint32_t x9; + uint32_t x10; + x1 = (UINT32_C(0x7ffffda) - (arg1[0])); + x2 = (UINT32_C(0x3fffffe) - (arg1[1])); + x3 = (UINT32_C(0x7fffffe) - (arg1[2])); + x4 = (UINT32_C(0x3fffffe) - (arg1[3])); + x5 = (UINT32_C(0x7fffffe) - (arg1[4])); + x6 = (UINT32_C(0x3fffffe) - (arg1[5])); + x7 = (UINT32_C(0x7fffffe) - (arg1[6])); + x8 = (UINT32_C(0x3fffffe) - (arg1[7])); + x9 = (UINT32_C(0x7fffffe) - (arg1[8])); + x10 = (UINT32_C(0x3fffffe) - (arg1[9])); out1[0] = x1; out1[1] = x2; out1[2] = x3; @@ -1021,269 +1781,439 @@ static void fiat_25519_opp(uint32_t out1[10], const uint32_t arg1[10]) { } /* - * Input Bounds: - * arg1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] + * The function fiat_25519_to_bytes 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..31] + * * 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 ~> 0x7f]] */ -static void fiat_25519_to_bytes(uint8_t out1[32], const uint32_t arg1[10]) { +static FIAT_25519_FIAT_INLINE void fiat_25519_to_bytes(uint8_t out1[32], const fiat_25519_tight_field_element arg1) { uint32_t x1; fiat_25519_uint1 x2; - fiat_25519_subborrowx_u26(&x1, &x2, 0x0, (arg1[0]), UINT32_C(0x3ffffed)); uint32_t x3; fiat_25519_uint1 x4; - fiat_25519_subborrowx_u25(&x3, &x4, x2, (arg1[1]), UINT32_C(0x1ffffff)); uint32_t x5; fiat_25519_uint1 x6; - fiat_25519_subborrowx_u26(&x5, &x6, x4, (arg1[2]), UINT32_C(0x3ffffff)); uint32_t x7; fiat_25519_uint1 x8; - fiat_25519_subborrowx_u25(&x7, &x8, x6, (arg1[3]), UINT32_C(0x1ffffff)); uint32_t x9; fiat_25519_uint1 x10; - fiat_25519_subborrowx_u26(&x9, &x10, x8, (arg1[4]), UINT32_C(0x3ffffff)); uint32_t x11; fiat_25519_uint1 x12; - fiat_25519_subborrowx_u25(&x11, &x12, x10, (arg1[5]), UINT32_C(0x1ffffff)); uint32_t x13; fiat_25519_uint1 x14; - fiat_25519_subborrowx_u26(&x13, &x14, x12, (arg1[6]), UINT32_C(0x3ffffff)); uint32_t x15; fiat_25519_uint1 x16; - fiat_25519_subborrowx_u25(&x15, &x16, x14, (arg1[7]), UINT32_C(0x1ffffff)); uint32_t x17; fiat_25519_uint1 x18; - fiat_25519_subborrowx_u26(&x17, &x18, x16, (arg1[8]), UINT32_C(0x3ffffff)); uint32_t x19; fiat_25519_uint1 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; fiat_25519_uint1 x23; - fiat_25519_addcarryx_u26(&x22, &x23, 0x0, (x21 & UINT32_C(0x3ffffed)), x1); uint32_t x24; fiat_25519_uint1 x25; - fiat_25519_addcarryx_u25(&x24, &x25, x23, (x21 & UINT32_C(0x1ffffff)), x3); uint32_t x26; fiat_25519_uint1 x27; - fiat_25519_addcarryx_u26(&x26, &x27, x25, (x21 & UINT32_C(0x3ffffff)), x5); uint32_t x28; fiat_25519_uint1 x29; - fiat_25519_addcarryx_u25(&x28, &x29, x27, (x21 & UINT32_C(0x1ffffff)), x7); uint32_t x30; fiat_25519_uint1 x31; - fiat_25519_addcarryx_u26(&x30, &x31, x29, (x21 & UINT32_C(0x3ffffff)), x9); uint32_t x32; fiat_25519_uint1 x33; - fiat_25519_addcarryx_u25(&x32, &x33, x31, (x21 & UINT32_C(0x1ffffff)), x11); uint32_t x34; fiat_25519_uint1 x35; - fiat_25519_addcarryx_u26(&x34, &x35, x33, (x21 & UINT32_C(0x3ffffff)), x13); uint32_t x36; fiat_25519_uint1 x37; - fiat_25519_addcarryx_u25(&x36, &x37, x35, (x21 & UINT32_C(0x1ffffff)), x15); uint32_t x38; fiat_25519_uint1 x39; - fiat_25519_addcarryx_u26(&x38, &x39, x37, (x21 & UINT32_C(0x3ffffff)), x17); uint32_t x40; fiat_25519_uint1 x41; - fiat_25519_addcarryx_u25(&x40, &x41, x39, (x21 & UINT32_C(0x1ffffff)), x19); - 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)); - fiat_25519_uint1 x89 = (fiat_25519_uint1)(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; + uint32_t x42; + uint32_t x43; + uint32_t x44; + uint32_t x45; + uint32_t x46; + uint32_t x47; + uint32_t x48; + uint32_t x49; + uint8_t x50; + uint32_t x51; + uint8_t x52; + uint32_t x53; + uint8_t x54; + uint8_t x55; + uint32_t x56; + uint8_t x57; + uint32_t x58; + uint8_t x59; + uint32_t x60; + uint8_t x61; + uint8_t x62; + uint32_t x63; + uint8_t x64; + uint32_t x65; + uint8_t x66; + uint32_t x67; + uint8_t x68; + uint8_t x69; + uint32_t x70; + uint8_t x71; + uint32_t x72; + uint8_t x73; + uint32_t x74; + uint8_t x75; + uint8_t x76; + uint32_t x77; + uint8_t x78; + uint32_t x79; + uint8_t x80; + uint32_t x81; + uint8_t x82; + uint8_t x83; + uint8_t x84; + uint32_t x85; + uint8_t x86; + uint32_t x87; + uint8_t x88; + fiat_25519_uint1 x89; + uint32_t x90; + uint8_t x91; + uint32_t x92; + uint8_t x93; + uint32_t x94; + uint8_t x95; + uint8_t x96; + uint32_t x97; + uint8_t x98; + uint32_t x99; + uint8_t x100; + uint32_t x101; + uint8_t x102; + uint8_t x103; + uint32_t x104; + uint8_t x105; + uint32_t x106; + uint8_t x107; + uint32_t x108; + uint8_t x109; + uint8_t x110; + uint32_t x111; + uint8_t x112; + uint32_t x113; + uint8_t x114; + uint32_t x115; + uint8_t x116; + uint8_t x117; + fiat_25519_subborrowx_u26(&x1, &x2, 0x0, (arg1[0]), UINT32_C(0x3ffffed)); + fiat_25519_subborrowx_u25(&x3, &x4, x2, (arg1[1]), UINT32_C(0x1ffffff)); + fiat_25519_subborrowx_u26(&x5, &x6, x4, (arg1[2]), UINT32_C(0x3ffffff)); + fiat_25519_subborrowx_u25(&x7, &x8, x6, (arg1[3]), UINT32_C(0x1ffffff)); + fiat_25519_subborrowx_u26(&x9, &x10, x8, (arg1[4]), UINT32_C(0x3ffffff)); + fiat_25519_subborrowx_u25(&x11, &x12, x10, (arg1[5]), UINT32_C(0x1ffffff)); + fiat_25519_subborrowx_u26(&x13, &x14, x12, (arg1[6]), UINT32_C(0x3ffffff)); + fiat_25519_subborrowx_u25(&x15, &x16, x14, (arg1[7]), UINT32_C(0x1ffffff)); + fiat_25519_subborrowx_u26(&x17, &x18, x16, (arg1[8]), UINT32_C(0x3ffffff)); + fiat_25519_subborrowx_u25(&x19, &x20, x18, (arg1[9]), UINT32_C(0x1ffffff)); + fiat_25519_cmovznz_u32(&x21, x20, 0x0, UINT32_C(0xffffffff)); + fiat_25519_addcarryx_u26(&x22, &x23, 0x0, x1, (x21 & UINT32_C(0x3ffffed))); + fiat_25519_addcarryx_u25(&x24, &x25, x23, x3, (x21 & UINT32_C(0x1ffffff))); + fiat_25519_addcarryx_u26(&x26, &x27, x25, x5, (x21 & UINT32_C(0x3ffffff))); + fiat_25519_addcarryx_u25(&x28, &x29, x27, x7, (x21 & UINT32_C(0x1ffffff))); + fiat_25519_addcarryx_u26(&x30, &x31, x29, x9, (x21 & UINT32_C(0x3ffffff))); + fiat_25519_addcarryx_u25(&x32, &x33, x31, x11, (x21 & UINT32_C(0x1ffffff))); + fiat_25519_addcarryx_u26(&x34, &x35, x33, x13, (x21 & UINT32_C(0x3ffffff))); + fiat_25519_addcarryx_u25(&x36, &x37, x35, x15, (x21 & UINT32_C(0x1ffffff))); + fiat_25519_addcarryx_u26(&x38, &x39, x37, x17, (x21 & UINT32_C(0x3ffffff))); + fiat_25519_addcarryx_u25(&x40, &x41, x39, x19, (x21 & UINT32_C(0x1ffffff))); + x42 = (x40 << 6); + x43 = (x38 << 4); + x44 = (x36 << 3); + x45 = (x34 * (uint32_t)0x2); + x46 = (x30 << 6); + x47 = (x28 << 5); + x48 = (x26 << 3); + x49 = (x24 << 2); + x50 = (uint8_t)(x22 & UINT8_C(0xff)); + x51 = (x22 >> 8); + x52 = (uint8_t)(x51 & UINT8_C(0xff)); + x53 = (x51 >> 8); + x54 = (uint8_t)(x53 & UINT8_C(0xff)); + x55 = (uint8_t)(x53 >> 8); + x56 = (x49 + (uint32_t)x55); + x57 = (uint8_t)(x56 & UINT8_C(0xff)); + x58 = (x56 >> 8); + x59 = (uint8_t)(x58 & UINT8_C(0xff)); + x60 = (x58 >> 8); + x61 = (uint8_t)(x60 & UINT8_C(0xff)); + x62 = (uint8_t)(x60 >> 8); + x63 = (x48 + (uint32_t)x62); + x64 = (uint8_t)(x63 & UINT8_C(0xff)); + x65 = (x63 >> 8); + x66 = (uint8_t)(x65 & UINT8_C(0xff)); + x67 = (x65 >> 8); + x68 = (uint8_t)(x67 & UINT8_C(0xff)); + x69 = (uint8_t)(x67 >> 8); + x70 = (x47 + (uint32_t)x69); + x71 = (uint8_t)(x70 & UINT8_C(0xff)); + x72 = (x70 >> 8); + x73 = (uint8_t)(x72 & UINT8_C(0xff)); + x74 = (x72 >> 8); + x75 = (uint8_t)(x74 & UINT8_C(0xff)); + x76 = (uint8_t)(x74 >> 8); + x77 = (x46 + (uint32_t)x76); + x78 = (uint8_t)(x77 & UINT8_C(0xff)); + x79 = (x77 >> 8); + x80 = (uint8_t)(x79 & UINT8_C(0xff)); + x81 = (x79 >> 8); + x82 = (uint8_t)(x81 & UINT8_C(0xff)); + x83 = (uint8_t)(x81 >> 8); + x84 = (uint8_t)(x32 & UINT8_C(0xff)); + x85 = (x32 >> 8); + x86 = (uint8_t)(x85 & UINT8_C(0xff)); + x87 = (x85 >> 8); + x88 = (uint8_t)(x87 & UINT8_C(0xff)); + x89 = (fiat_25519_uint1)(x87 >> 8); + x90 = (x45 + (uint32_t)x89); + x91 = (uint8_t)(x90 & UINT8_C(0xff)); + x92 = (x90 >> 8); + x93 = (uint8_t)(x92 & UINT8_C(0xff)); + x94 = (x92 >> 8); + x95 = (uint8_t)(x94 & UINT8_C(0xff)); + x96 = (uint8_t)(x94 >> 8); + x97 = (x44 + (uint32_t)x96); + x98 = (uint8_t)(x97 & UINT8_C(0xff)); + x99 = (x97 >> 8); + x100 = (uint8_t)(x99 & UINT8_C(0xff)); + x101 = (x99 >> 8); + x102 = (uint8_t)(x101 & UINT8_C(0xff)); + x103 = (uint8_t)(x101 >> 8); + x104 = (x43 + (uint32_t)x103); + x105 = (uint8_t)(x104 & UINT8_C(0xff)); + x106 = (x104 >> 8); + x107 = (uint8_t)(x106 & UINT8_C(0xff)); + x108 = (x106 >> 8); + x109 = (uint8_t)(x108 & UINT8_C(0xff)); + x110 = (uint8_t)(x108 >> 8); + x111 = (x42 + (uint32_t)x110); + x112 = (uint8_t)(x111 & UINT8_C(0xff)); + x113 = (x111 >> 8); + x114 = (uint8_t)(x113 & UINT8_C(0xff)); + x115 = (x113 >> 8); + x116 = (uint8_t)(x115 & UINT8_C(0xff)); + x117 = (uint8_t)(x115 >> 8); + out1[0] = x50; + out1[1] = x52; + out1[2] = x54; + out1[3] = x57; + out1[4] = x59; + out1[5] = x61; + out1[6] = x64; + out1[7] = x66; + out1[8] = x68; + out1[9] = x71; + out1[10] = x73; + out1[11] = x75; + out1[12] = x78; + out1[13] = x80; + out1[14] = x82; + out1[15] = x83; + out1[16] = x84; + out1[17] = x86; + out1[18] = x88; + out1[19] = x91; + out1[20] = x93; + out1[21] = x95; + out1[22] = x98; + out1[23] = x100; + out1[24] = x102; + out1[25] = x105; + out1[26] = x107; + out1[27] = x109; + out1[28] = x112; + out1[29] = x114; + out1[30] = x116; out1[31] = x117; } /* + * The function fiat_25519_from_bytes 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 ~> 0x7f]] - * Output Bounds: - * out1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] */ -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; +static FIAT_25519_FIAT_INLINE void fiat_25519_from_bytes(fiat_25519_tight_field_element out1, const uint8_t arg1[32]) { + uint32_t x1; + uint32_t x2; + uint32_t x3; + uint32_t x4; + uint32_t x5; + uint32_t x6; + uint32_t x7; + uint32_t x8; + uint32_t x9; + uint32_t x10; + uint32_t x11; + uint32_t x12; + uint32_t x13; + uint32_t x14; + uint32_t x15; + uint8_t x16; + uint32_t x17; + uint32_t x18; + uint32_t x19; + uint32_t x20; + uint32_t x21; + uint32_t x22; + uint32_t x23; + uint32_t x24; + uint32_t x25; + uint32_t x26; + uint32_t x27; + uint32_t x28; + uint32_t x29; + uint32_t x30; + uint32_t x31; + uint8_t x32; + uint32_t x33; + uint32_t x34; + uint32_t x35; + uint32_t x36; + uint8_t x37; + uint32_t x38; + uint32_t x39; + uint32_t x40; + uint32_t x41; + uint8_t x42; + uint32_t x43; + uint32_t x44; + uint32_t x45; + uint32_t x46; + uint8_t x47; + uint32_t x48; + uint32_t x49; + uint32_t x50; + uint32_t x51; + uint8_t x52; + uint32_t x53; + uint32_t x54; + uint32_t x55; + uint32_t x56; + uint32_t x57; + uint32_t x58; + uint32_t x59; + uint8_t x60; + uint32_t x61; + uint32_t x62; + uint32_t x63; + uint32_t x64; + uint8_t x65; + uint32_t x66; + uint32_t x67; + uint32_t x68; + uint32_t x69; + uint8_t x70; + uint32_t x71; + uint32_t x72; + uint32_t x73; + uint32_t x74; + uint8_t x75; + uint32_t x76; + uint32_t x77; + uint32_t x78; + x1 = ((uint32_t)(arg1[31]) << 18); + x2 = ((uint32_t)(arg1[30]) << 10); + x3 = ((uint32_t)(arg1[29]) << 2); + x4 = ((uint32_t)(arg1[28]) << 20); + x5 = ((uint32_t)(arg1[27]) << 12); + x6 = ((uint32_t)(arg1[26]) << 4); + x7 = ((uint32_t)(arg1[25]) << 21); + x8 = ((uint32_t)(arg1[24]) << 13); + x9 = ((uint32_t)(arg1[23]) << 5); + x10 = ((uint32_t)(arg1[22]) << 23); + x11 = ((uint32_t)(arg1[21]) << 15); + x12 = ((uint32_t)(arg1[20]) << 7); + x13 = ((uint32_t)(arg1[19]) << 24); + x14 = ((uint32_t)(arg1[18]) << 16); + x15 = ((uint32_t)(arg1[17]) << 8); + x16 = (arg1[16]); + x17 = ((uint32_t)(arg1[15]) << 18); + x18 = ((uint32_t)(arg1[14]) << 10); + x19 = ((uint32_t)(arg1[13]) << 2); + x20 = ((uint32_t)(arg1[12]) << 19); + x21 = ((uint32_t)(arg1[11]) << 11); + x22 = ((uint32_t)(arg1[10]) << 3); + x23 = ((uint32_t)(arg1[9]) << 21); + x24 = ((uint32_t)(arg1[8]) << 13); + x25 = ((uint32_t)(arg1[7]) << 5); + x26 = ((uint32_t)(arg1[6]) << 22); + x27 = ((uint32_t)(arg1[5]) << 14); + x28 = ((uint32_t)(arg1[4]) << 6); + x29 = ((uint32_t)(arg1[3]) << 24); + x30 = ((uint32_t)(arg1[2]) << 16); + x31 = ((uint32_t)(arg1[1]) << 8); + x32 = (arg1[0]); + x33 = (x31 + (uint32_t)x32); + x34 = (x30 + x33); + x35 = (x29 + x34); + x36 = (x35 & UINT32_C(0x3ffffff)); + x37 = (uint8_t)(x35 >> 26); + x38 = (x28 + (uint32_t)x37); + x39 = (x27 + x38); + x40 = (x26 + x39); + x41 = (x40 & UINT32_C(0x1ffffff)); + x42 = (uint8_t)(x40 >> 25); + x43 = (x25 + (uint32_t)x42); + x44 = (x24 + x43); + x45 = (x23 + x44); + x46 = (x45 & UINT32_C(0x3ffffff)); + x47 = (uint8_t)(x45 >> 26); + x48 = (x22 + (uint32_t)x47); + x49 = (x21 + x48); + x50 = (x20 + x49); + x51 = (x50 & UINT32_C(0x1ffffff)); + x52 = (uint8_t)(x50 >> 25); + x53 = (x19 + (uint32_t)x52); + x54 = (x18 + x53); + x55 = (x17 + x54); + x56 = (x15 + (uint32_t)x16); + x57 = (x14 + x56); + x58 = (x13 + x57); + x59 = (x58 & UINT32_C(0x1ffffff)); + x60 = (uint8_t)(x58 >> 25); + x61 = (x12 + (uint32_t)x60); + x62 = (x11 + x61); + x63 = (x10 + x62); + x64 = (x63 & UINT32_C(0x3ffffff)); + x65 = (uint8_t)(x63 >> 26); + x66 = (x9 + (uint32_t)x65); + x67 = (x8 + x66); + x68 = (x7 + x67); + x69 = (x68 & UINT32_C(0x1ffffff)); + x70 = (uint8_t)(x68 >> 25); + x71 = (x6 + (uint32_t)x70); + x72 = (x5 + x71); + x73 = (x4 + x72); + x74 = (x73 & UINT32_C(0x3ffffff)); + x75 = (uint8_t)(x73 >> 26); + x76 = (x3 + (uint32_t)x75); + x77 = (x2 + x76); + x78 = (x1 + x77); + out1[0] = x36; + out1[1] = x41; + out1[2] = x46; + out1[3] = x51; out1[4] = x55; - out1[5] = x57; - out1[6] = x60; - out1[7] = x63; - out1[8] = x66; - out1[9] = x67; + out1[5] = x59; + out1[6] = x64; + out1[7] = x69; + out1[8] = x74; + out1[9] = x78; } #endif /* not defined(BORINGSSL_CURVE25519_64BIT) */ diff --git a/src/plugins/preauth/spake/edwards25519_tables.h b/src/plugins/preauth/spake/edwards25519_tables.h index c6c5013731..20f0fba4ca 100644 --- a/src/plugins/preauth/spake/edwards25519_tables.h +++ b/src/plugins/preauth/spake/edwards25519_tables.h @@ -23,7 +23,7 @@ * SOFTWARE. */ -/* From BoringSSL third-party/fiat/curve25519_tables.h */ +/* From BoringSSL crypto/curve25519/curve25519_tables.h */ static const fe d = {{ #if defined(BORINGSSL_CURVE25519_64BIT)