boxtec
/
bitcoin
mirror of https://github.com/bitcoin/bitcoin
4
1
Fork 0
Code Issues Projects Releases Wiki Activity

x86_64 assembly optimization for scalar_4x64

Browse Source
pull/11871/head
Pieter Wuille 10 years ago
parent f88343f2eb
commit ffccfd2d00
1 changed files with 482 additions and 4 deletions
Show Stats Download Patch File Download Diff File

486
src/scalar_4x64_impl.h
Unescape View File

@ -251,17 +251,250 @@ static int secp256k1_scalar_is_high(const secp256k1_scalar_t *a) {
}
static void secp256k1_scalar_reduce_512(secp256k1_scalar_t *r, const uint64_t *l) {
#ifdef USE_ASM_X86_64
/* Reduce 512 bits into 385. */
uint64_t m0, m1, m2, m3, m4, m5, m6;
uint64_t p0, p1, p2, p3, p4;
uint64_t c;
__asm__ __volatile__(
/* Preload. */
"movq 32(%%rsi), %%r11\n"
"movq 40(%%rsi), %%r12\n"
"movq 48(%%rsi), %%r13\n"
"movq 56(%%rsi), %%r14\n"
/* Initialize r8,r9,r10 */
"movq 0(%%rsi), %%r8\n"
"movq $0, %%r9\n"
"movq $0, %%r10\n"
/* (r8,r9) += n0 * c0 */
"movq %8, %%rax\n"
"mulq %%r11\n"
"addq %%rax, %%r8\n"
"adcq %%rdx, %%r9\n"
/* extract m0 */
"movq %%r8, %q0\n"
"movq $0, %%r8\n"
/* (r9,r10) += l1 */
"addq 8(%%rsi), %%r9\n"
"adcq $0, %%r10\n"
/* (r9,r10,r8) += n1 * c0 */
"movq %8, %%rax\n"
"mulq %%r12\n"
"addq %%rax, %%r9\n"
"adcq %%rdx, %%r10\n"
"adcq $0, %%r8\n"
/* (r9,r10,r8) += n0 * c1 */
"movq %9, %%rax\n"
"mulq %%r11\n"
"addq %%rax, %%r9\n"
"adcq %%rdx, %%r10\n"
"adcq $0, %%r8\n"
/* extract m1 */
"movq %%r9, %q1\n"
"movq $0, %%r9\n"
/* (r10,r8,r9) += l2 */
"addq 16(%%rsi), %%r10\n"
"adcq $0, %%r8\n"
"adcq $0, %%r9\n"
/* (r10,r8,r9) += n2 * c0 */
"movq %8, %%rax\n"
"mulq %%r13\n"
"addq %%rax, %%r10\n"
"adcq %%rdx, %%r8\n"
"adcq $0, %%r9\n"
/* (r10,r8,r9) += n1 * c1 */
"movq %9, %%rax\n"
"mulq %%r12\n"
"addq %%rax, %%r10\n"
"adcq %%rdx, %%r8\n"
"adcq $0, %%r9\n"
/* (r10,r8,r9) += n0 */
"addq %%r11, %%r10\n"
"adcq $0, %%r8\n"
"adcq $0, %%r9\n"
/* extract m2 */
"movq %%r10, %q2\n"
"movq $0, %%r10\n"
/* (r8,r9,r10) += l3 */
"addq 24(%%rsi), %%r8\n"
"adcq $0, %%r9\n"
"adcq $0, %%r10\n"
/* (r8,r9,r10) += n3 * c0 */
"movq %8, %%rax\n"
"mulq %%r14\n"
"addq %%rax, %%r8\n"
"adcq %%rdx, %%r9\n"
"adcq $0, %%r10\n"
/* (r8,r9,r10) += n2 * c1 */
"movq %9, %%rax\n"
"mulq %%r13\n"
"addq %%rax, %%r8\n"
"adcq %%rdx, %%r9\n"
"adcq $0, %%r10\n"
/* (r8,r9,r10) += n1 */
"addq %%r12, %%r8\n"
"adcq $0, %%r9\n"
"adcq $0, %%r10\n"
/* extract m3 */
"movq %%r8, %q3\n"
"movq $0, %%r8\n"
/* (r9,r10,r8) += n3 * c1 */
"movq %9, %%rax\n"
"mulq %%r14\n"
"addq %%rax, %%r9\n"
"adcq %%rdx, %%r10\n"
"adcq $0, %%r8\n"
/* (r9,r10,r8) += n2 */
"addq %%r13, %%r9\n"
"adcq $0, %%r10\n"
"adcq $0, %%r8\n"
/* extract m4 */
"movq %%r9, %q4\n"
/* (r10,r8) += n3 */
"addq %%r14, %%r10\n"
"adcq $0, %%r8\n"
/* extract m5 */
"movq %%r10, %q5\n"
/* extract m6 */
"movq %%r8, %q6\n"
: "=g"(m0), "=g"(m1), "=g"(m2), "=g"(m3), "=g"(m4), "=g"(m5), "=g"(m6)
: "S"(l), "n"(SECP256K1_N_C_0), "n"(SECP256K1_N_C_1)
: "rax", "rdx", "r8", "r9", "r10", "r11", "r12", "r13", "r14", "cc");
/* Reduce 385 bits into 258. */
__asm__ __volatile__(
/* Preload */
"movq %q9, %%r11\n"
"movq %q10, %%r12\n"
"movq %q11, %%r13\n"
/* Initialize (r8,r9,r10) */
"movq %q5, %%r8\n"
"movq $0, %%r9\n"
"movq $0, %%r10\n"
/* (r8,r9) += m4 * c0 */
"movq %12, %%rax\n"
"mulq %%r11\n"
"addq %%rax, %%r8\n"
"adcq %%rdx, %%r9\n"
/* extract p0 */
"movq %%r8, %q0\n"
"movq $0, %%r8\n"
/* (r9,r10) += m1 */
"addq %q6, %%r9\n"
"adcq $0, %%r10\n"
/* (r9,r10,r8) += m5 * c0 */
"movq %12, %%rax\n"
"mulq %%r12\n"
"addq %%rax, %%r9\n"
"adcq %%rdx, %%r10\n"
"adcq $0, %%r8\n"
/* (r9,r10,r8) += m4 * c1 */
"movq %13, %%rax\n"
"mulq %%r11\n"
"addq %%rax, %%r9\n"
"adcq %%rdx, %%r10\n"
"adcq $0, %%r8\n"
/* extract p1 */
"movq %%r9, %q1\n"
"movq $0, %%r9\n"
/* (r10,r8,r9) += m2 */
"addq %q7, %%r10\n"
"adcq $0, %%r8\n"
"adcq $0, %%r9\n"
/* (r10,r8,r9) += m6 * c0 */
"movq %12, %%rax\n"
"mulq %%r13\n"
"addq %%rax, %%r10\n"
"adcq %%rdx, %%r8\n"
"adcq $0, %%r9\n"
/* (r10,r8,r9) += m5 * c1 */
"movq %13, %%rax\n"
"mulq %%r12\n"
"addq %%rax, %%r10\n"
"adcq %%rdx, %%r8\n"
"adcq $0, %%r9\n"
/* (r10,r8,r9) += m4 */
"addq %%r11, %%r10\n"
"adcq $0, %%r8\n"
"adcq $0, %%r9\n"
/* extract p2 */
"movq %%r10, %q2\n"
/* (r8,r9) += m3 */
"addq %q8, %%r8\n"
"adcq $0, %%r9\n"
/* (r8,r9) += m6 * c1 */
"movq %13, %%rax\n"
"mulq %%r13\n"
"addq %%rax, %%r8\n"
"adcq %%rdx, %%r9\n"
/* (r8,r9) += m5 */
"addq %%r12, %%r8\n"
"adcq $0, %%r9\n"
/* extract p3 */
"movq %%r8, %q3\n"
/* (r9) += m6 */
"addq %%r13, %%r9\n"
/* extract p4 */
"movq %%r9, %q4\n"
: "=&g"(p0), "=&g"(p1), "=&g"(p2), "=g"(p3), "=g"(p4)
: "g"(m0), "g"(m1), "g"(m2), "g"(m3), "g"(m4), "g"(m5), "g"(m6), "n"(SECP256K1_N_C_0), "n"(SECP256K1_N_C_1)
: "rax", "rdx", "r8", "r9", "r10", "r11", "r12", "r13", "cc");
/* Reduce 258 bits into 256. */
__asm__ __volatile__(
/* Preload */
"movq %q5, %%r10\n"
/* (rax,rdx) = p4 * c0 */
"movq %7, %%rax\n"
"mulq %%r10\n"
/* (rax,rdx) += p0 */
"addq %q1, %%rax\n"
"adcq $0, %%rdx\n"
/* extract r0 */
"movq %%rax, 0(%q6)\n"
/* Move to (r8,r9) */
"movq %%rdx, %%r8\n"
"movq $0, %%r9\n"
/* (r8,r9) += p1 */
"addq %q2, %%r8\n"
"adcq $0, %%r9\n"
/* (r8,r9) += p4 * c1 */
"movq %8, %%rax\n"
"mulq %%r10\n"
"addq %%rax, %%r8\n"
"adcq %%rdx, %%r9\n"
/* Extract r1 */
"movq %%r8, 8(%q6)\n"
"movq $0, %%r8\n"
/* (r9,r8) += p4 */
"addq %%r10, %%r9\n"
"adcq $0, %%r8\n"
/* (r9,r8) += p2 */
"addq %q3, %%r9\n"
"adcq $0, %%r8\n"
/* Extract r2 */
"movq %%r9, 16(%q6)\n"
"movq $0, %%r9\n"
/* (r8,r9) += p3 */
"addq %q4, %%r8\n"
"adcq $0, %%r9\n"
/* Extract r3 */
"movq %%r8, 24(%q6)\n"
/* Extract c */
"movq %%r9, %q0\n"
: "=g"(c)
: "g"(p0), "g"(p1), "g"(p2), "g"(p3), "g"(p4), "D"(r), "n"(SECP256K1_N_C_0), "n"(SECP256K1_N_C_1)
: "rax", "rdx", "r8", "r9", "r10", "cc", "memory");
#else
uint128_t c;
uint64_t c0, c1, c2;
uint64_t n0 = l[4], n1 = l[5], n2 = l[6], n3 = l[7];
uint64_t m0, m1, m2, m3, m4, m5;
uint32_t m6;
uint64_t p0, p1, p2, p3;
uint32_t p4;
/* 160 bit accumulator. */
uint64_t c0, c1;
uint32_t c2;
/* Reduce 512 bits into 385. */
/* m[0..6] = l[0..3] + n[0..3] * SECP256K1_N_C. */
c0 = l[0]; c1 = 0; c2 = 0;
@ -320,12 +553,146 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar_t *r, const uint64_t *l
r->d[2] = c & 0xFFFFFFFFFFFFFFFFULL; c >>= 64;
c += p3;
r->d[3] = c & 0xFFFFFFFFFFFFFFFFULL; c >>= 64;
#endif
/* Final reduction of r. */
secp256k1_scalar_reduce(r, c + secp256k1_scalar_check_overflow(r));
}
static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar_t *a, const secp256k1_scalar_t *b) {
#ifdef USE_ASM_X86_64
const uint64_t *pb = b->d;
__asm__ __volatile__(
/* Preload */
"movq 0(%%rdi), %%r15\n"
"movq 8(%%rdi), %%rbx\n"
"movq 16(%%rdi), %%rcx\n"
"movq 0(%%rdx), %%r11\n"
"movq 8(%%rdx), %%r12\n"
"movq 16(%%rdx), %%r13\n"
"movq 24(%%rdx), %%r14\n"
/* (rax,rdx) = a0 * b0 */
"movq %%r15, %%rax\n"
"mulq %%r11\n"
/* Extract l0 */
"movq %%rax, 0(%%rsi)\n"
/* (r8,r9,r10) = (rdx) */
"movq %%rdx, %%r8\n"
"xorq %%r9, %%r9\n"
"xorq %%r10, %%r10\n"
/* (r8,r9,r10) += a0 * b1 */
"movq %%r15, %%rax\n"
"mulq %%r12\n"
"addq %%rax, %%r8\n"
"adcq %%rdx, %%r9\n"
"adcq $0, %%r10\n"
/* (r8,r9,r10) += a1 * b0 */
"movq %%rbx, %%rax\n"
"mulq %%r11\n"
"addq %%rax, %%r8\n"
"adcq %%rdx, %%r9\n"
"adcq $0, %%r10\n"
/* Extract l1 */
"movq %%r8, 8(%%rsi)\n"
"xorq %%r8, %%r8\n"
/* (r9,r10,r8) += a0 * b2 */
"movq %%r15, %%rax\n"
"mulq %%r13\n"
"addq %%rax, %%r9\n"
"adcq %%rdx, %%r10\n"
"adcq $0, %%r8\n"
/* (r9,r10,r8) += a1 * b1 */
"movq %%rbx, %%rax\n"
"mulq %%r12\n"
"addq %%rax, %%r9\n"
"adcq %%rdx, %%r10\n"
"adcq $0, %%r8\n"
/* (r9,r10,r8) += a2 * b0 */
"movq %%rcx, %%rax\n"
"mulq %%r11\n"
"addq %%rax, %%r9\n"
"adcq %%rdx, %%r10\n"
"adcq $0, %%r8\n"
/* Extract l2 */
"movq %%r9, 16(%%rsi)\n"
"xorq %%r9, %%r9\n"
/* (r10,r8,r9) += a0 * b3 */
"movq %%r15, %%rax\n"
"mulq %%r14\n"
"addq %%rax, %%r10\n"
"adcq %%rdx, %%r8\n"
"adcq $0, %%r9\n"
/* Preload a3 */
"movq 24(%%rdi), %%r15\n"
/* (r10,r8,r9) += a1 * b2 */
"movq %%rbx, %%rax\n"
"mulq %%r13\n"
"addq %%rax, %%r10\n"
"adcq %%rdx, %%r8\n"
"adcq $0, %%r9\n"
/* (r10,r8,r9) += a2 * b1 */
"movq %%rcx, %%rax\n"
"mulq %%r12\n"
"addq %%rax, %%r10\n"
"adcq %%rdx, %%r8\n"
"adcq $0, %%r9\n"
/* (r10,r8,r9) += a3 * b0 */
"movq %%r15, %%rax\n"
"mulq %%r11\n"
"addq %%rax, %%r10\n"
"adcq %%rdx, %%r8\n"
"adcq $0, %%r9\n"
/* Extract l3 */
"movq %%r10, 24(%%rsi)\n"
"xorq %%r10, %%r10\n"
/* (r8,r9,r10) += a1 * b3 */
"movq %%rbx, %%rax\n"
"mulq %%r14\n"
"addq %%rax, %%r8\n"
"adcq %%rdx, %%r9\n"
"adcq $0, %%r10\n"
/* (r8,r9,r10) += a2 * b2 */
"movq %%rcx, %%rax\n"
"mulq %%r13\n"
"addq %%rax, %%r8\n"
"adcq %%rdx, %%r9\n"
"adcq $0, %%r10\n"
/* (r8,r9,r10) += a3 * b1 */
"movq %%r15, %%rax\n"
"mulq %%r12\n"
"addq %%rax, %%r8\n"
"adcq %%rdx, %%r9\n"
"adcq $0, %%r10\n"
/* Extract l4 */
"movq %%r8, 32(%%rsi)\n"
"xorq %%r8, %%r8\n"
/* (r9,r10,r8) += a2 * b3 */
"movq %%rcx, %%rax\n"
"mulq %%r14\n"
"addq %%rax, %%r9\n"
"adcq %%rdx, %%r10\n"
"adcq $0, %%r8\n"
/* (r9,r10,r8) += a3 * b2 */
"movq %%r15, %%rax\n"
"mulq %%r13\n"
"addq %%rax, %%r9\n"
"adcq %%rdx, %%r10\n"
"adcq $0, %%r8\n"
/* Extract l5 */
"movq %%r9, 40(%%rsi)\n"
/* (r10,r8) += a3 * b3 */
"movq %%r15, %%rax\n"
"mulq %%r14\n"
"addq %%rax, %%r10\n"
"adcq %%rdx, %%r8\n"
/* Extract l6 */
"movq %%r10, 48(%%rsi)\n"
/* Extract l7 */
"movq %%r8, 56(%%rsi)\n"
: "+d"(pb)
: "S"(l), "D"(a->d)
: "rax", "rbx", "rcx", "r8", "r9", "r10", "r11", "r12", "r13", "r14", "r15", "cc", "memory");
#else
/* 160 bit accumulator. */
uint64_t c0 = 0, c1 = 0;
uint32_t c2 = 0;
@ -356,9 +723,119 @@ static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar_t *a,
extract_fast(l[6]);
VERIFY_CHECK(c1 <= 0);
l[7] = c0;
#endif
}
static void secp256k1_scalar_sqr_512(uint64_t l[8], const secp256k1_scalar_t *a) {
#ifdef USE_ASM_X86_64
__asm__ __volatile__(
/* Preload */
"movq 0(%%rdi), %%r11\n"
"movq 8(%%rdi), %%r12\n"
"movq 16(%%rdi), %%r13\n"
"movq 24(%%rdi), %%r14\n"
/* (rax,rdx) = a0 * a0 */
"movq %%r11, %%rax\n"
"mulq %%r11\n"
/* Extract l0 */
"movq %%rax, 0(%%rsi)\n"
/* (r8,r9,r10) = (rdx,0) */
"movq %%rdx, %%r8\n"
"xorq %%r9, %%r9\n"
"xorq %%r10, %%r10\n"
/* (r8,r9,r10) += 2 * a0 * a1 */
"movq %%r11, %%rax\n"
"mulq %%r12\n"
"addq %%rax, %%r8\n"
"adcq %%rdx, %%r9\n"
"adcq $0, %%r10\n"
"addq %%rax, %%r8\n"
"adcq %%rdx, %%r9\n"
"adcq $0, %%r10\n"
/* Extract l1 */
"movq %%r8, 8(%%rsi)\n"
"xorq %%r8, %%r8\n"
/* (r9,r10,r8) += 2 * a0 * a2 */
"movq %%r11, %%rax\n"
"mulq %%r13\n"
"addq %%rax, %%r9\n"
"adcq %%rdx, %%r10\n"
"adcq $0, %%r8\n"
"addq %%rax, %%r9\n"
"adcq %%rdx, %%r10\n"
"adcq $0, %%r8\n"
/* (r9,r10,r8) += a1 * a1 */
"movq %%r12, %%rax\n"
"mulq %%r12\n"
"addq %%rax, %%r9\n"
"adcq %%rdx, %%r10\n"
"adcq $0, %%r8\n"
/* Extract l2 */
"movq %%r9, 16(%%rsi)\n"
"xorq %%r9, %%r9\n"
/* (r10,r8,r9) += 2 * a0 * a3 */
"movq %%r11, %%rax\n"
"mulq %%r14\n"
"addq %%rax, %%r10\n"
"adcq %%rdx, %%r8\n"
"adcq $0, %%r9\n"
"addq %%rax, %%r10\n"
"adcq %%rdx, %%r8\n"
"adcq $0, %%r9\n"
/* (r10,r8,r9) += 2 * a1 * a2 */
"movq %%r12, %%rax\n"
"mulq %%r13\n"
"addq %%rax, %%r10\n"
"adcq %%rdx, %%r8\n"
"adcq $0, %%r9\n"
"addq %%rax, %%r10\n"
"adcq %%rdx, %%r8\n"
"adcq $0, %%r9\n"
/* Extract l3 */
"movq %%r10, 24(%%rsi)\n"
"xorq %%r10, %%r10\n"
/* (r8,r9,r10) += 2 * a1 * a3 */
"movq %%r12, %%rax\n"
"mulq %%r14\n"
"addq %%rax, %%r8\n"
"adcq %%rdx, %%r9\n"
"adcq $0, %%r10\n"
"addq %%rax, %%r8\n"
"adcq %%rdx, %%r9\n"
"adcq $0, %%r10\n"
/* (r8,r9,r10) += a2 * a2 */
"movq %%r13, %%rax\n"
"mulq %%r13\n"
"addq %%rax, %%r8\n"
"adcq %%rdx, %%r9\n"
"adcq $0, %%r10\n"
/* Extract l4 */
"movq %%r8, 32(%%rsi)\n"
"xorq %%r8, %%r8\n"
/* (r9,r10,r8) += 2 * a2 * a3 */
"movq %%r13, %%rax\n"
"mulq %%r14\n"
"addq %%rax, %%r9\n"
"adcq %%rdx, %%r10\n"
"adcq $0, %%r8\n"
"addq %%rax, %%r9\n"
"adcq %%rdx, %%r10\n"
"adcq $0, %%r8\n"
/* Extract l5 */
"movq %%r9, 40(%%rsi)\n"
/* (r10,r8) += a3 * a3 */
"movq %%r14, %%rax\n"
"mulq %%r14\n"
"addq %%rax, %%r10\n"
"adcq %%rdx, %%r8\n"
/* Extract l6 */
"movq %%r10, 48(%%rsi)\n"
/* Extract l7 */
"movq %%r8, 56(%%rsi)\n"
:
: "S"(l), "D"(a->d)
: "rax", "rdx", "r8", "r9", "r10", "r11", "r12", "r13", "r14", "cc", "memory");
#else
/* 160 bit accumulator. */
uint64_t c0 = 0, c1 = 0;
uint32_t c2 = 0;
@ -383,6 +860,7 @@ static void secp256k1_scalar_sqr_512(uint64_t l[8], const secp256k1_scalar_t *a)
extract_fast(l[6]);
VERIFY_CHECK(c1 == 0);
l[7] = c0;
#endif
}
#undef sumadd

Write Preview
Loading…
Cancel
Save