/* 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 */ /* 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 <stdint.h> fiat_25519_uint1; fiat_25519_int1; #if defined(__GNUC__) || defined(__clang__) #define FIAT_25519_FIAT_EXTENSION … #define FIAT_25519_FIAT_INLINE … #else #define FIAT_25519_FIAT_EXTENSION #define FIAT_25519_FIAT_INLINE #endif FIAT_25519_FIAT_EXTENSION fiat_25519_int128; FIAT_25519_FIAT_EXTENSION 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]] */ fiat_25519_loose_field_element; /* 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]] */ fiat_25519_tight_field_element; #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) { … } #else #define fiat_25519_value_barrier_u64 … #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] * arg3: [0x0 ~> 0x7ffffffffffff] * Output Bounds: * out1: [0x0 ~> 0x7ffffffffffff] * out2: [0x0 ~> 0x1] */ 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) { … } /* * 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] * arg3: [0x0 ~> 0x7ffffffffffff] * Output Bounds: * out1: [0x0 ~> 0x7ffffffffffff] * out2: [0x0 ~> 0x1] */ 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) { … } /* * 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] * arg3: [0x0 ~> 0xffffffffffffffff] * Output Bounds: * out1: [0x0 ~> 0xffffffffffffffff] */ static FIAT_25519_FIAT_INLINE void fiat_25519_cmovznz_u64(uint64_t* out1, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) { … } /* * 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 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) { … } /* * 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 FIAT_25519_FIAT_INLINE void fiat_25519_carry_square(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1) { … } /* * The function fiat_25519_carry reduces a field element. * * Postconditions: * eval out1 mod m = eval arg1 mod m * */ static FIAT_25519_FIAT_INLINE void fiat_25519_carry(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1) { … } /* * The function fiat_25519_add adds two field elements. * * Postconditions: * eval out1 mod m = (eval arg1 + eval arg2) mod m * */ 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) { … } /* * The function fiat_25519_sub subtracts two field elements. * * Postconditions: * eval out1 mod m = (eval arg1 - eval arg2) mod m * */ 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) { … } /* * The function fiat_25519_opp negates a field element. * * Postconditions: * eval out1 mod m = -eval arg1 mod m * */ static FIAT_25519_FIAT_INLINE void fiat_25519_opp(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1) { … } /* * The function fiat_25519_selectznz is a multi-limb conditional select. * * Postconditions: * eval out1 = (if arg1 = 0 then eval arg2 else eval arg3) * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * Output Bounds: * out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */ static FIAT_25519_FIAT_INLINE void fiat_25519_selectznz(uint64_t out1[5], fiat_25519_uint1 arg1, const uint64_t arg2[5], const uint64_t arg3[5]) { … } /* * 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 FIAT_25519_FIAT_INLINE void fiat_25519_to_bytes(uint8_t out1[32], const fiat_25519_tight_field_element arg1) { … } /* * 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]] */ static FIAT_25519_FIAT_INLINE void fiat_25519_from_bytes(fiat_25519_tight_field_element out1, const uint8_t arg1[32]) { … } /* * The function fiat_25519_relax is the identity function converting from tight field elements to loose field elements. * * Postconditions: * out1 = arg1 * */ static FIAT_25519_FIAT_INLINE void fiat_25519_relax(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1) { … } /* * The function fiat_25519_carry_scmul_121666 multiplies a field element by 121666 and reduces the result. * * Postconditions: * eval out1 mod m = (121666 * eval arg1) mod m * */ static FIAT_25519_FIAT_INLINE void fiat_25519_carry_scmul_121666(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1) { … }
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