#ifndef SECP256K1_INT128_STRUCT_IMPL_H #define SECP256K1_INT128_STRUCT_IMPL_H #include "int128.h" #if defined(_MSC_VER) && (defined(_M_X64) || defined(_M_ARM64)) /* MSVC */ # include # if defined(_M_ARM64) || defined(SECP256K1_MSVC_MULH_TEST_OVERRIDE) /* On ARM64 MSVC, use __(u)mulh for the upper half of 64x64 multiplications. (Define SECP256K1_MSVC_MULH_TEST_OVERRIDE to test this code path on X64, which supports both __(u)mulh and _umul128.) */ # if defined(SECP256K1_MSVC_MULH_TEST_OVERRIDE) # pragma message(__FILE__ ": SECP256K1_MSVC_MULH_TEST_OVERRIDE is defined, forcing use of __(u)mulh.") # endif static SECP256K1_INLINE uint64_t secp256k1_umul128(uint64_t a, uint64_t b, uint64_t* hi) { *hi = __umulh(a, b); return a * b; } static SECP256K1_INLINE int64_t secp256k1_mul128(int64_t a, int64_t b, int64_t* hi) { *hi = __mulh(a, b); return (uint64_t)a * (uint64_t)b; } # else /* On x84_64 MSVC, use native _(u)mul128 for 64x64->128 multiplications. */ # define secp256k1_umul128 _umul128 static SECP256K1_INLINE uint64_t secp256k1_mul128(int64_t a, int64_t b, int64_t* hi) { return (uint64_t)_mul128(a, b, hi); } # endif #else /* On other systems, emulate 64x64->128 multiplications using 32x32->64 multiplications. */ static SECP256K1_INLINE uint64_t secp256k1_umul128(uint64_t a, uint64_t b, uint64_t* hi) { uint64_t ll = (uint64_t)(uint32_t)a * (uint32_t)b; uint64_t lh = (uint32_t)a * (b >> 32); uint64_t hl = (a >> 32) * (uint32_t)b; uint64_t hh = (a >> 32) * (b >> 32); uint64_t mid34 = (ll >> 32) + (uint32_t)lh + (uint32_t)hl; *hi = hh + (lh >> 32) + (hl >> 32) + (mid34 >> 32); return (mid34 << 32) + (uint32_t)ll; } static SECP256K1_INLINE uint64_t secp256k1_mul128(int64_t a, int64_t b, int64_t* hi) { uint64_t ll = (uint64_t)(uint32_t)a * (uint32_t)b; int64_t lh = (uint32_t)a * (b >> 32); int64_t hl = (a >> 32) * (uint32_t)b; int64_t hh = (a >> 32) * (b >> 32); uint64_t mid34 = (ll >> 32) + (uint32_t)lh + (uint32_t)hl; *hi = hh + (lh >> 32) + (hl >> 32) + (int64_t)(mid34 >> 32); return (mid34 << 32) + (uint32_t)ll; } #endif static SECP256K1_INLINE void secp256k1_u128_load(secp256k1_uint128 *r, uint64_t hi, uint64_t lo) { r->hi = hi; r->lo = lo; } static SECP256K1_INLINE void secp256k1_u128_mul(secp256k1_uint128 *r, uint64_t a, uint64_t b) { r->lo = secp256k1_umul128(a, b, &r->hi); } static SECP256K1_INLINE void secp256k1_u128_accum_mul(secp256k1_uint128 *r, uint64_t a, uint64_t b) { uint64_t lo, hi; lo = secp256k1_umul128(a, b, &hi); r->lo += lo; r->hi += hi + (r->lo < lo); } static SECP256K1_INLINE void secp256k1_u128_accum_u64(secp256k1_uint128 *r, uint64_t a) { r->lo += a; r->hi += r->lo < a; } /* Unsigned (logical) right shift. * Non-constant time in n. */ static SECP256K1_INLINE void secp256k1_u128_rshift(secp256k1_uint128 *r, unsigned int n) { VERIFY_CHECK(n < 128); if (n >= 64) { r->lo = r->hi >> (n-64); r->hi = 0; } else if (n > 0) { r->lo = ((1U * r->hi) << (64-n)) | r->lo >> n; r->hi >>= n; } } static SECP256K1_INLINE uint64_t secp256k1_u128_to_u64(const secp256k1_uint128 *a) { return a->lo; } static SECP256K1_INLINE uint64_t secp256k1_u128_hi_u64(const secp256k1_uint128 *a) { return a->hi; } static SECP256K1_INLINE void secp256k1_u128_from_u64(secp256k1_uint128 *r, uint64_t a) { r->hi = 0; r->lo = a; } static SECP256K1_INLINE int secp256k1_u128_check_bits(const secp256k1_uint128 *r, unsigned int n) { VERIFY_CHECK(n < 128); return n >= 64 ? r->hi >> (n - 64) == 0 : r->hi == 0 && r->lo >> n == 0; } static SECP256K1_INLINE void secp256k1_i128_load(secp256k1_int128 *r, int64_t hi, uint64_t lo) { r->hi = (uint64_t)hi; r->lo = lo; } static SECP256K1_INLINE void secp256k1_i128_mul(secp256k1_int128 *r, int64_t a, int64_t b) { int64_t hi; r->lo = secp256k1_mul128(a, b, &hi); r->hi = (uint64_t)hi; } static SECP256K1_INLINE void secp256k1_i128_accum_mul(secp256k1_int128 *r, int64_t a, int64_t b) { int64_t hi; uint64_t lo = secp256k1_mul128(a, b, &hi); r->lo += lo; hi += r->lo < lo; /* Verify no overflow. * If r represents a positive value (the sign bit is not set) and the value we are adding is a positive value (the sign bit is not set), * then we require that the resulting value also be positive (the sign bit is not set). * Note that (X <= Y) means (X implies Y) when X and Y are boolean values (i.e. 0 or 1). */ VERIFY_CHECK((r->hi <= 0x7fffffffffffffffu && (uint64_t)hi <= 0x7fffffffffffffffu) <= (r->hi + (uint64_t)hi <= 0x7fffffffffffffffu)); /* Verify no underflow. * If r represents a negative value (the sign bit is set) and the value we are adding is a negative value (the sign bit is set), * then we require that the resulting value also be negative (the sign bit is set). */ VERIFY_CHECK((r->hi > 0x7fffffffffffffffu && (uint64_t)hi > 0x7fffffffffffffffu) <= (r->hi + (uint64_t)hi > 0x7fffffffffffffffu)); r->hi += (uint64_t)hi; } static SECP256K1_INLINE void secp256k1_i128_dissip_mul(secp256k1_int128 *r, int64_t a, int64_t b) { int64_t hi; uint64_t lo = secp256k1_mul128(a, b, &hi); hi += r->lo < lo; /* Verify no overflow. * If r represents a positive value (the sign bit is not set) and the value we are subtracting is a negative value (the sign bit is set), * then we require that the resulting value also be positive (the sign bit is not set). */ VERIFY_CHECK((r->hi <= 0x7fffffffffffffffu && (uint64_t)hi > 0x7fffffffffffffffu) <= (r->hi - (uint64_t)hi <= 0x7fffffffffffffffu)); /* Verify no underflow. * If r represents a negative value (the sign bit is set) and the value we are subtracting is a positive value (the sign sign bit is not set), * then we require that the resulting value also be negative (the sign bit is set). */ VERIFY_CHECK((r->hi > 0x7fffffffffffffffu && (uint64_t)hi <= 0x7fffffffffffffffu) <= (r->hi - (uint64_t)hi > 0x7fffffffffffffffu)); r->hi -= (uint64_t)hi; r->lo -= lo; } static SECP256K1_INLINE void secp256k1_i128_det(secp256k1_int128 *r, int64_t a, int64_t b, int64_t c, int64_t d) { secp256k1_i128_mul(r, a, d); secp256k1_i128_dissip_mul(r, b, c); } /* Signed (arithmetic) right shift. * Non-constant time in n. */ static SECP256K1_INLINE void secp256k1_i128_rshift(secp256k1_int128 *r, unsigned int n) { VERIFY_CHECK(n < 128); if (n >= 64) { r->lo = (uint64_t)((int64_t)(r->hi) >> (n-64)); r->hi = (uint64_t)((int64_t)(r->hi) >> 63); } else if (n > 0) { r->lo = ((1U * r->hi) << (64-n)) | r->lo >> n; r->hi = (uint64_t)((int64_t)(r->hi) >> n); } } static SECP256K1_INLINE uint64_t secp256k1_i128_to_u64(const secp256k1_int128 *a) { return a->lo; } static SECP256K1_INLINE int64_t secp256k1_i128_to_i64(const secp256k1_int128 *a) { /* Verify that a represents a 64 bit signed value by checking that the high bits are a sign extension of the low bits. */ VERIFY_CHECK(a->hi == -(a->lo >> 63)); return (int64_t)secp256k1_i128_to_u64(a); } static SECP256K1_INLINE void secp256k1_i128_from_i64(secp256k1_int128 *r, int64_t a) { r->hi = (uint64_t)(a >> 63); r->lo = (uint64_t)a; } static SECP256K1_INLINE int secp256k1_i128_eq_var(const secp256k1_int128 *a, const secp256k1_int128 *b) { return a->hi == b->hi && a->lo == b->lo; } static SECP256K1_INLINE int secp256k1_i128_check_pow2(const secp256k1_int128 *r, unsigned int n, int sign) { VERIFY_CHECK(n < 127); VERIFY_CHECK(sign == 1 || sign == -1); return n >= 64 ? r->hi == (uint64_t)sign << (n - 64) && r->lo == 0 : r->hi == (uint64_t)((sign - 1) >> 1) && r->lo == (uint64_t)sign << n; } #endif