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field_5x52_int128_impl.h
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field_5x52_int128_impl.h
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#ifndef SECP256K1_FIELD_INNER5X52_IMPL_H
#define SECP256K1_FIELD_INNER5X52_IMPL_H
#include <stdint.h>
#include "int128.h"
#include "util.h"
#if defined(__GNUC__) || defined(__clang__)
# define FIAT_SECP256K1_DETTMAN_FIAT_EXTENSION __extension__
# define FIAT_SECP256K1_DETTMAN_FIAT_INLINE __inline__
#else
# define FIAT_SECP256K1_DETTMAN_FIAT_EXTENSION
# define FIAT_SECP256K1_DETTMAN_FIAT_INLINE
#endif
static FIAT_SECP256K1_DETTMAN_FIAT_INLINE secp256k1_uint128 u128_mul_u64_u64(uint64_t a, uint64_t b) {
secp256k1_uint128 r;
secp256k1_u128_mul(&r, a, b);
return r;
}
static FIAT_SECP256K1_DETTMAN_FIAT_INLINE uint64_t u64_shr_u128(secp256k1_uint128 a, unsigned int n) {
secp256k1_uint128 r = a;
secp256k1_u128_rshift(&r, n);
return secp256k1_u128_to_u64(&r);
}
static FIAT_SECP256K1_DETTMAN_FIAT_INLINE uint64_t u64_and_u128_u64(secp256k1_uint128 a, uint64_t b) {
return secp256k1_u128_to_u64(&a) & b;
}
static FIAT_SECP256K1_DETTMAN_FIAT_INLINE secp256k1_uint128 u128_add_u128_u128(secp256k1_uint128 a, secp256k1_uint128 b) {
secp256k1_uint128 r = a;
secp256k1_u128_accum(&r, &b);
return r;
}
static FIAT_SECP256K1_DETTMAN_FIAT_INLINE secp256k1_uint128 u128_add_u64_u128(uint64_t a, secp256k1_uint128 b) {
secp256k1_uint128 r = b;
secp256k1_u128_accum_u64(&r, a);
return r;
}
/* Autogenerated: 'src/ExtractionOCaml/dettman_multiplication' --inline --static -use-value-barrier secp256k1_dettman 64 5 48 2 '2^256 - 4294968273' mul square
* curve description: secp256k1_dettman
* machine_wordsize = 64 (from "64")
* requested operations: mul, square
* n = 5 (from "5")
* last_limb_width = 48 (from "48")
* last_reduction = 2 (from "2")
* s-c = 2^256 - [(1, 4294968273)] (from "2^256 - 4294968273")
* inbounds_multiplier: None (from "")
*/
FIAT_SECP256K1_DETTMAN_FIAT_EXTENSION typedef secp256k1_uint128 fiat_secp256k1_dettman_uint128;
#define secp256k1_fe_sqr_inner fiat_secp256k1_dettman_square
#define secp256k1_fe_mul_inner fiat_secp256k1_dettman_mul
#if (-1 & 3) != 3
#error "This code only works on a two's complement system"
#endif
/*
* The function fiat_secp256k1_dettman_mul multiplies two field elements.
*
* Postconditions:
* eval out1 mod 115792089237316195423570985008687907853269984665640564039457584007908834671663 = (eval arg1 * eval arg2) mod 115792089237316195423570985008687907853269984665640564039457584007908834671663
*
* Input Bounds:
* arg1: [[0x0 ~> 0x1ffffffffffffe], [0x0 ~> 0x1ffffffffffffe], [0x0 ~> 0x1ffffffffffffe], [0x0 ~> 0x1ffffffffffffe], [0x0 ~> 0x1fffffffffffe]]
* arg2: [[0x0 ~> 0x1ffffffffffffe], [0x0 ~> 0x1ffffffffffffe], [0x0 ~> 0x1ffffffffffffe], [0x0 ~> 0x1ffffffffffffe], [0x0 ~> 0x1fffffffffffe]]
* Output Bounds:
* out1: [[0x0 ~> 0x1ffffffffffffe], [0x0 ~> 0x1ffffffffffffe], [0x0 ~> 0x1ffffffffffffe], [0x0 ~> 0x1ffffffffffffe], [0x0 ~> 0x17fffffffffff]]
*/
static FIAT_SECP256K1_DETTMAN_FIAT_INLINE void fiat_secp256k1_dettman_mul(uint64_t out1[5], const uint64_t arg1[5], const uint64_t arg2[5]) {
fiat_secp256k1_dettman_uint128 x1;
uint64_t x2;
uint64_t x3;
fiat_secp256k1_dettman_uint128 x4;
uint64_t x5;
uint64_t x6;
fiat_secp256k1_dettman_uint128 x7;
uint64_t x8;
uint64_t x9;
fiat_secp256k1_dettman_uint128 x10;
uint64_t x11;
uint64_t x12;
uint64_t x13;
uint64_t x14;
fiat_secp256k1_dettman_uint128 x15;
uint64_t x16;
uint64_t x17;
fiat_secp256k1_dettman_uint128 x18;
uint64_t x19;
uint64_t x20;
fiat_secp256k1_dettman_uint128 x21;
uint64_t x22;
uint64_t x23;
fiat_secp256k1_dettman_uint128 x24;
uint64_t x25;
uint64_t x26;
fiat_secp256k1_dettman_uint128 x27;
uint64_t x28;
uint64_t x29;
fiat_secp256k1_dettman_uint128 x30;
uint64_t x31;
uint64_t x32;
uint64_t x33;
x1 = u128_mul_u64_u64((arg1[4]), (arg2[4]));
x2 = u64_shr_u128(x1, 64);
x3 = u64_and_u128_u64(x1, UINT64_C(0xffffffffffffffff));
x4 = u128_add_u128_u128(u128_add_u128_u128(u128_mul_u64_u64((arg1[0]), (arg2[3])), u128_add_u128_u128(u128_mul_u64_u64((arg1[1]), (arg2[2])), u128_add_u128_u128(u128_mul_u64_u64((arg1[2]), (arg2[1])), u128_mul_u64_u64((arg1[3]), (arg2[0]))))), u128_mul_u64_u64(x3, UINT64_C(0x1000003d10)));
x5 = u64_shr_u128(x4, 52);
x6 = u64_and_u128_u64(x4, UINT64_C(0xfffffffffffff));
x7 = u128_add_u128_u128(u128_add_u64_u128(x5, u128_add_u128_u128(u128_mul_u64_u64((arg1[0]), (arg2[4])), u128_add_u128_u128(u128_mul_u64_u64((arg1[1]), (arg2[3])), u128_add_u128_u128(u128_mul_u64_u64((arg1[2]), (arg2[2])), u128_add_u128_u128(u128_mul_u64_u64((arg1[3]), (arg2[1])), u128_mul_u64_u64((arg1[4]), (arg2[0]))))))), u128_mul_u64_u64(x2, UINT64_C(0x1000003d10000)));
x8 = u64_shr_u128(x7, 52);
x9 = u64_and_u128_u64(x7, UINT64_C(0xfffffffffffff));
x10 = u128_add_u64_u128(x8, u128_add_u128_u128(u128_mul_u64_u64((arg1[1]), (arg2[4])), u128_add_u128_u128(u128_mul_u64_u64((arg1[2]), (arg2[3])), u128_add_u128_u128(u128_mul_u64_u64((arg1[3]), (arg2[2])), u128_mul_u64_u64((arg1[4]), (arg2[1]))))));
x11 = u64_shr_u128(x10, 52);
x12 = u64_and_u128_u64(x10, UINT64_C(0xfffffffffffff));
x13 = (x9 >> 48);
x14 = (x9 & UINT64_C(0xffffffffffff));
x15 = u128_add_u128_u128(u128_mul_u64_u64((arg1[0]), (arg2[0])), u128_mul_u64_u64((x13 + (x12 << 4)), UINT64_C(0x1000003d1)));
x16 = u64_shr_u128(x15, 52);
x17 = u64_and_u128_u64(x15, UINT64_C(0xfffffffffffff));
x18 = u128_add_u64_u128(x11, u128_add_u128_u128(u128_mul_u64_u64((arg1[2]), (arg2[4])), u128_add_u128_u128(u128_mul_u64_u64((arg1[3]), (arg2[3])), u128_mul_u64_u64((arg1[4]), (arg2[2])))));
x19 = u64_shr_u128(x18, 52);
x20 = u64_and_u128_u64(x18, UINT64_C(0xfffffffffffff));
x21 = u128_add_u128_u128(u128_add_u64_u128(x16, u128_add_u128_u128(u128_mul_u64_u64((arg1[0]), (arg2[1])), u128_mul_u64_u64((arg1[1]), (arg2[0])))), u128_mul_u64_u64(x20, UINT64_C(0x1000003d10)));
x22 = u64_shr_u128(x21, 52);
x23 = u64_and_u128_u64(x21, UINT64_C(0xfffffffffffff));
x24 = u128_add_u64_u128(x19, u128_add_u128_u128(u128_mul_u64_u64((arg1[3]), (arg2[4])), u128_mul_u64_u64((arg1[4]), (arg2[3]))));
x25 = u64_shr_u128(x24, 64);
x26 = u64_and_u128_u64(x24, UINT64_C(0xffffffffffffffff));
x27 = u128_add_u128_u128(u128_add_u64_u128(x22, u128_add_u128_u128(u128_mul_u64_u64((arg1[0]), (arg2[2])), u128_add_u128_u128(u128_mul_u64_u64((arg1[1]), (arg2[1])), u128_mul_u64_u64((arg1[2]), (arg2[0]))))), u128_mul_u64_u64(x26, UINT64_C(0x1000003d10)));
x28 = u64_shr_u128(x27, 52);
x29 = u64_and_u128_u64(x27, UINT64_C(0xfffffffffffff));
x30 = u128_add_u64_u128((x28 + x6), u128_mul_u64_u64(x25, UINT64_C(0x1000003d10000)));
x31 = u64_shr_u128(x30, 52);
x32 = u64_and_u128_u64(x30, UINT64_C(0xfffffffffffff));
x33 = (x31 + x14);
out1[0] = x17;
out1[1] = x23;
out1[2] = x29;
out1[3] = x32;
out1[4] = x33;
}
/*
* The function fiat_secp256k1_dettman_square squares a field element.
*
* Postconditions:
* eval out1 mod 115792089237316195423570985008687907853269984665640564039457584007908834671663 = (eval arg1 * eval arg1) mod 115792089237316195423570985008687907853269984665640564039457584007908834671663
*
* Input Bounds:
* arg1: [[0x0 ~> 0x1ffffffffffffe], [0x0 ~> 0x1ffffffffffffe], [0x0 ~> 0x1ffffffffffffe], [0x0 ~> 0x1ffffffffffffe], [0x0 ~> 0x1fffffffffffe]]
* Output Bounds:
* out1: [[0x0 ~> 0x1ffffffffffffe], [0x0 ~> 0x1ffffffffffffe], [0x0 ~> 0x1ffffffffffffe], [0x0 ~> 0x1ffffffffffffe], [0x0 ~> 0x17fffffffffff]]
*/
static FIAT_SECP256K1_DETTMAN_FIAT_INLINE void fiat_secp256k1_dettman_square(uint64_t out1[5], const uint64_t arg1[5]) {
uint64_t x1;
uint64_t x2;
uint64_t x3;
uint64_t x4;
fiat_secp256k1_dettman_uint128 x5;
uint64_t x6;
uint64_t x7;
fiat_secp256k1_dettman_uint128 x8;
uint64_t x9;
uint64_t x10;
fiat_secp256k1_dettman_uint128 x11;
uint64_t x12;
uint64_t x13;
fiat_secp256k1_dettman_uint128 x14;
uint64_t x15;
uint64_t x16;
uint64_t x17;
uint64_t x18;
fiat_secp256k1_dettman_uint128 x19;
uint64_t x20;
uint64_t x21;
fiat_secp256k1_dettman_uint128 x22;
uint64_t x23;
uint64_t x24;
fiat_secp256k1_dettman_uint128 x25;
uint64_t x26;
uint64_t x27;
fiat_secp256k1_dettman_uint128 x28;
uint64_t x29;
uint64_t x30;
fiat_secp256k1_dettman_uint128 x31;
uint64_t x32;
uint64_t x33;
fiat_secp256k1_dettman_uint128 x34;
uint64_t x35;
uint64_t x36;
uint64_t x37;
x1 = ((arg1[3]) * 0x2);
x2 = ((arg1[2]) * 0x2);
x3 = ((arg1[1]) * 0x2);
x4 = ((arg1[0]) * 0x2);
x5 = u128_mul_u64_u64((arg1[4]), (arg1[4]));
x6 = u64_shr_u128(x5, 64);
x7 = u64_and_u128_u64(x5, UINT64_C(0xffffffffffffffff));
x8 = u128_add_u128_u128(u128_add_u128_u128(u128_mul_u64_u64(x4, (arg1[3])), u128_mul_u64_u64(x3, (arg1[2]))), u128_mul_u64_u64(x7, UINT64_C(0x1000003d10)));
x9 = u64_shr_u128(x8, 52);
x10 = u64_and_u128_u64(x8, UINT64_C(0xfffffffffffff));
x11 = u128_add_u128_u128(u128_add_u64_u128(x9, u128_add_u128_u128(u128_mul_u64_u64(x4, (arg1[4])), u128_add_u128_u128(u128_mul_u64_u64(x3, (arg1[3])), u128_mul_u64_u64((arg1[2]), (arg1[2]))))), u128_mul_u64_u64(x6, UINT64_C(0x1000003d10000)));
x12 = u64_shr_u128(x11, 52);
x13 = u64_and_u128_u64(x11, UINT64_C(0xfffffffffffff));
x14 = u128_add_u64_u128(x12, u128_add_u128_u128(u128_mul_u64_u64(x3, (arg1[4])), u128_mul_u64_u64(x2, (arg1[3]))));
x15 = u64_shr_u128(x14, 52);
x16 = u64_and_u128_u64(x14, UINT64_C(0xfffffffffffff));
x17 = (x13 >> 48);
x18 = (x13 & UINT64_C(0xffffffffffff));
x19 = u128_add_u128_u128(u128_mul_u64_u64((arg1[0]), (arg1[0])), u128_mul_u64_u64((x17 + (x16 << 4)), UINT64_C(0x1000003d1)));
x20 = u64_shr_u128(x19, 52);
x21 = u64_and_u128_u64(x19, UINT64_C(0xfffffffffffff));
x22 = u128_add_u64_u128(x15, u128_add_u128_u128(u128_mul_u64_u64(x2, (arg1[4])), u128_mul_u64_u64((arg1[3]), (arg1[3]))));
x23 = u64_shr_u128(x22, 52);
x24 = u64_and_u128_u64(x22, UINT64_C(0xfffffffffffff));
x25 = u128_add_u128_u128(u128_add_u64_u128(x20, u128_mul_u64_u64(x4, (arg1[1]))), u128_mul_u64_u64(x24, UINT64_C(0x1000003d10)));
x26 = u64_shr_u128(x25, 52);
x27 = u64_and_u128_u64(x25, UINT64_C(0xfffffffffffff));
x28 = u128_add_u64_u128(x23, u128_mul_u64_u64(x1, (arg1[4])));
x29 = u64_shr_u128(x28, 64);
x30 = u64_and_u128_u64(x28, UINT64_C(0xffffffffffffffff));
x31 = u128_add_u128_u128(u128_add_u64_u128(x26, u128_add_u128_u128(u128_mul_u64_u64(x4, (arg1[2])), u128_mul_u64_u64((arg1[1]), (arg1[1])))), u128_mul_u64_u64(x30, UINT64_C(0x1000003d10)));
x32 = u64_shr_u128(x31, 52);
x33 = u64_and_u128_u64(x31, UINT64_C(0xfffffffffffff));
x34 = u128_add_u64_u128((x32 + x10), u128_mul_u64_u64(x29, UINT64_C(0x1000003d10000)));
x35 = u64_shr_u128(x34, 52);
x36 = u64_and_u128_u64(x34, UINT64_C(0xfffffffffffff));
x37 = (x35 + x18);
out1[0] = x21;
out1[1] = x27;
out1[2] = x33;
out1[3] = x36;
out1[4] = x37;
}
#endif /* SECP256K1_FIELD_INNER5X52_IMPL_H */