--- /dev/null
+/* x86_64 BIGNUM accelerator version 0.1, December 2002.
+ *
+ * Implemented by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
+ * project.
+ *
+ * Rights for redistribution and usage in source and binary forms are
+ * granted according to the OpenSSL license. Warranty of any kind is
+ * disclaimed.
+ *
+ * Q. Version 0.1? It doesn't sound like Andy, he used to assign real
+ * versions, like 1.0...
+ * A. Well, that's because this code is basically a quick-n-dirty
+ * proof-of-concept hack. As you can see it's implemented with
+ * inline assembler, which means that you're bound to GCC and that
+ * there might be enough room for further improvement.
+ *
+ * Q. Why inline assembler?
+ * A. x86_64 features own ABI which I'm not familiar with. This is
+ * why I decided to let the compiler take care of subroutine
+ * prologue/epilogue as well as register allocation. For reference.
+ * Win64 implements different ABI for AMD64, different from Linux.
+ *
+ * Q. How much faster does it get?
+ * A. 'apps/openssl speed rsa dsa' output with no-asm:
+ *
+ * sign verify sign/s verify/s
+ * rsa 512 bits 0.0006s 0.0001s 1683.8 18456.2
+ * rsa 1024 bits 0.0028s 0.0002s 356.0 6407.0
+ * rsa 2048 bits 0.0172s 0.0005s 58.0 1957.8
+ * rsa 4096 bits 0.1155s 0.0018s 8.7 555.6
+ * sign verify sign/s verify/s
+ * dsa 512 bits 0.0005s 0.0006s 2100.8 1768.3
+ * dsa 1024 bits 0.0014s 0.0018s 692.3 559.2
+ * dsa 2048 bits 0.0049s 0.0061s 204.7 165.0
+ *
+ * 'apps/openssl speed rsa dsa' output with this module:
+ *
+ * sign verify sign/s verify/s
+ * rsa 512 bits 0.0004s 0.0000s 2767.1 33297.9
+ * rsa 1024 bits 0.0012s 0.0001s 867.4 14674.7
+ * rsa 2048 bits 0.0061s 0.0002s 164.0 5270.0
+ * rsa 4096 bits 0.0384s 0.0006s 26.1 1650.8
+ * sign verify sign/s verify/s
+ * dsa 512 bits 0.0002s 0.0003s 4442.2 3786.3
+ * dsa 1024 bits 0.0005s 0.0007s 1835.1 1497.4
+ * dsa 2048 bits 0.0016s 0.0020s 620.4 504.6
+ *
+ * For the reference. IA-32 assembler implementation performs
+ * very much like 64-bit code compiled with no-asm on the same
+ * machine.
+ */
+
+#include <openssl/bn.h>
+
+// TODO(davidben): Get this file working on MSVC x64.
+#if !defined(OPENSSL_NO_ASM) && defined(OPENSSL_X86_64) && \
+ (defined(__GNUC__) || defined(__clang__))
+
+#include "../internal.h"
+
+
+#undef mul
+#undef mul_add
+
+// "m"(a), "+m"(r) is the way to favor DirectPath ยต-code;
+// "g"(0) let the compiler to decide where does it
+// want to keep the value of zero;
+#define mul_add(r, a, word, carry) \
+ do { \
+ register BN_ULONG high, low; \
+ __asm__("mulq %3" : "=a"(low), "=d"(high) : "a"(word), "m"(a) : "cc"); \
+ __asm__("addq %2,%0; adcq %3,%1" \
+ : "+r"(carry), "+d"(high) \
+ : "a"(low), "g"(0) \
+ : "cc"); \
+ __asm__("addq %2,%0; adcq %3,%1" \
+ : "+m"(r), "+d"(high) \
+ : "r"(carry), "g"(0) \
+ : "cc"); \
+ (carry) = high; \
+ } while (0)
+
+#define mul(r, a, word, carry) \
+ do { \
+ register BN_ULONG high, low; \
+ __asm__("mulq %3" : "=a"(low), "=d"(high) : "a"(word), "g"(a) : "cc"); \
+ __asm__("addq %2,%0; adcq %3,%1" \
+ : "+r"(carry), "+d"(high) \
+ : "a"(low), "g"(0) \
+ : "cc"); \
+ (r) = (carry); \
+ (carry) = high; \
+ } while (0)
+#undef sqr
+#define sqr(r0, r1, a) __asm__("mulq %2" : "=a"(r0), "=d"(r1) : "a"(a) : "cc");
+
+BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, size_t num,
+ BN_ULONG w) {
+ BN_ULONG c1 = 0;
+
+ if (num == 0) {
+ return (c1);
+ }
+
+ while (num & ~3) {
+ mul_add(rp[0], ap[0], w, c1);
+ mul_add(rp[1], ap[1], w, c1);
+ mul_add(rp[2], ap[2], w, c1);
+ mul_add(rp[3], ap[3], w, c1);
+ ap += 4;
+ rp += 4;
+ num -= 4;
+ }
+ if (num) {
+ mul_add(rp[0], ap[0], w, c1);
+ if (--num == 0) {
+ return c1;
+ }
+ mul_add(rp[1], ap[1], w, c1);
+ if (--num == 0) {
+ return c1;
+ }
+ mul_add(rp[2], ap[2], w, c1);
+ return c1;
+ }
+
+ return c1;
+}
+
+BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, size_t num,
+ BN_ULONG w) {
+ BN_ULONG c1 = 0;
+
+ if (num == 0) {
+ return c1;
+ }
+
+ while (num & ~3) {
+ mul(rp[0], ap[0], w, c1);
+ mul(rp[1], ap[1], w, c1);
+ mul(rp[2], ap[2], w, c1);
+ mul(rp[3], ap[3], w, c1);
+ ap += 4;
+ rp += 4;
+ num -= 4;
+ }
+ if (num) {
+ mul(rp[0], ap[0], w, c1);
+ if (--num == 0) {
+ return c1;
+ }
+ mul(rp[1], ap[1], w, c1);
+ if (--num == 0) {
+ return c1;
+ }
+ mul(rp[2], ap[2], w, c1);
+ }
+ return c1;
+}
+
+void bn_sqr_words(BN_ULONG *r, const BN_ULONG *a, size_t n) {
+ if (n == 0) {
+ return;
+ }
+
+ while (n & ~3) {
+ sqr(r[0], r[1], a[0]);
+ sqr(r[2], r[3], a[1]);
+ sqr(r[4], r[5], a[2]);
+ sqr(r[6], r[7], a[3]);
+ a += 4;
+ r += 8;
+ n -= 4;
+ }
+ if (n) {
+ sqr(r[0], r[1], a[0]);
+ if (--n == 0) {
+ return;
+ }
+ sqr(r[2], r[3], a[1]);
+ if (--n == 0) {
+ return;
+ }
+ sqr(r[4], r[5], a[2]);
+ }
+}
+
+BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
+ size_t n) {
+ BN_ULONG ret;
+ size_t i = 0;
+
+ if (n == 0) {
+ return 0;
+ }
+
+ __asm__ volatile (
+ " subq %0,%0 \n" // clear carry
+ " jmp 1f \n"
+ ".p2align 4 \n"
+ "1:"
+ " movq (%4,%2,8),%0 \n"
+ " adcq (%5,%2,8),%0 \n"
+ " movq %0,(%3,%2,8) \n"
+ " lea 1(%2),%2 \n"
+ " dec %1 \n"
+ " jnz 1b \n"
+ " sbbq %0,%0 \n"
+ : "=&r"(ret), "+c"(n), "+r"(i)
+ : "r"(rp), "r"(ap), "r"(bp)
+ : "cc", "memory");
+
+ return ret & 1;
+}
+
+BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
+ size_t n) {
+ BN_ULONG ret;
+ size_t i = 0;
+
+ if (n == 0) {
+ return 0;
+ }
+
+ __asm__ volatile (
+ " subq %0,%0 \n" // clear borrow
+ " jmp 1f \n"
+ ".p2align 4 \n"
+ "1:"
+ " movq (%4,%2,8),%0 \n"
+ " sbbq (%5,%2,8),%0 \n"
+ " movq %0,(%3,%2,8) \n"
+ " lea 1(%2),%2 \n"
+ " dec %1 \n"
+ " jnz 1b \n"
+ " sbbq %0,%0 \n"
+ : "=&r"(ret), "+c"(n), "+r"(i)
+ : "r"(rp), "r"(ap), "r"(bp)
+ : "cc", "memory");
+
+ return ret & 1;
+}
+
+// mul_add_c(a,b,c0,c1,c2) -- c+=a*b for three word number c=(c2,c1,c0)
+// mul_add_c2(a,b,c0,c1,c2) -- c+=2*a*b for three word number c=(c2,c1,c0)
+// sqr_add_c(a,i,c0,c1,c2) -- c+=a[i]^2 for three word number c=(c2,c1,c0)
+// sqr_add_c2(a,i,c0,c1,c2) -- c+=2*a[i]*a[j] for three word number c=(c2,c1,c0)
+
+// Keep in mind that carrying into high part of multiplication result can not
+// overflow, because it cannot be all-ones.
+#define mul_add_c(a, b, c0, c1, c2) \
+ do { \
+ BN_ULONG t1, t2; \
+ __asm__("mulq %3" : "=a"(t1), "=d"(t2) : "a"(a), "m"(b) : "cc"); \
+ __asm__("addq %3,%0; adcq %4,%1; adcq %5,%2" \
+ : "+r"(c0), "+r"(c1), "+r"(c2) \
+ : "r"(t1), "r"(t2), "g"(0) \
+ : "cc"); \
+ } while (0)
+
+#define sqr_add_c(a, i, c0, c1, c2) \
+ do { \
+ BN_ULONG t1, t2; \
+ __asm__("mulq %2" : "=a"(t1), "=d"(t2) : "a"((a)[i]) : "cc"); \
+ __asm__("addq %3,%0; adcq %4,%1; adcq %5,%2" \
+ : "+r"(c0), "+r"(c1), "+r"(c2) \
+ : "r"(t1), "r"(t2), "g"(0) \
+ : "cc"); \
+ } while (0)
+
+#define mul_add_c2(a, b, c0, c1, c2) \
+ do { \
+ BN_ULONG t1, t2; \
+ __asm__("mulq %3" : "=a"(t1), "=d"(t2) : "a"(a), "m"(b) : "cc"); \
+ __asm__("addq %3,%0; adcq %4,%1; adcq %5,%2" \
+ : "+r"(c0), "+r"(c1), "+r"(c2) \
+ : "r"(t1), "r"(t2), "g"(0) \
+ : "cc"); \
+ __asm__("addq %3,%0; adcq %4,%1; adcq %5,%2" \
+ : "+r"(c0), "+r"(c1), "+r"(c2) \
+ : "r"(t1), "r"(t2), "g"(0) \
+ : "cc"); \
+ } while (0)
+
+#define sqr_add_c2(a, i, j, c0, c1, c2) mul_add_c2((a)[i], (a)[j], c0, c1, c2)
+
+void bn_mul_comba8(BN_ULONG r[16], const BN_ULONG a[8], const BN_ULONG b[8]) {
+ BN_ULONG c1, c2, c3;
+
+ c1 = 0;
+ c2 = 0;
+ c3 = 0;
+ mul_add_c(a[0], b[0], c1, c2, c3);
+ r[0] = c1;
+ c1 = 0;
+ mul_add_c(a[0], b[1], c2, c3, c1);
+ mul_add_c(a[1], b[0], c2, c3, c1);
+ r[1] = c2;
+ c2 = 0;
+ mul_add_c(a[2], b[0], c3, c1, c2);
+ mul_add_c(a[1], b[1], c3, c1, c2);
+ mul_add_c(a[0], b[2], c3, c1, c2);
+ r[2] = c3;
+ c3 = 0;
+ mul_add_c(a[0], b[3], c1, c2, c3);
+ mul_add_c(a[1], b[2], c1, c2, c3);
+ mul_add_c(a[2], b[1], c1, c2, c3);
+ mul_add_c(a[3], b[0], c1, c2, c3);
+ r[3] = c1;
+ c1 = 0;
+ mul_add_c(a[4], b[0], c2, c3, c1);
+ mul_add_c(a[3], b[1], c2, c3, c1);
+ mul_add_c(a[2], b[2], c2, c3, c1);
+ mul_add_c(a[1], b[3], c2, c3, c1);
+ mul_add_c(a[0], b[4], c2, c3, c1);
+ r[4] = c2;
+ c2 = 0;
+ mul_add_c(a[0], b[5], c3, c1, c2);
+ mul_add_c(a[1], b[4], c3, c1, c2);
+ mul_add_c(a[2], b[3], c3, c1, c2);
+ mul_add_c(a[3], b[2], c3, c1, c2);
+ mul_add_c(a[4], b[1], c3, c1, c2);
+ mul_add_c(a[5], b[0], c3, c1, c2);
+ r[5] = c3;
+ c3 = 0;
+ mul_add_c(a[6], b[0], c1, c2, c3);
+ mul_add_c(a[5], b[1], c1, c2, c3);
+ mul_add_c(a[4], b[2], c1, c2, c3);
+ mul_add_c(a[3], b[3], c1, c2, c3);
+ mul_add_c(a[2], b[4], c1, c2, c3);
+ mul_add_c(a[1], b[5], c1, c2, c3);
+ mul_add_c(a[0], b[6], c1, c2, c3);
+ r[6] = c1;
+ c1 = 0;
+ mul_add_c(a[0], b[7], c2, c3, c1);
+ mul_add_c(a[1], b[6], c2, c3, c1);
+ mul_add_c(a[2], b[5], c2, c3, c1);
+ mul_add_c(a[3], b[4], c2, c3, c1);
+ mul_add_c(a[4], b[3], c2, c3, c1);
+ mul_add_c(a[5], b[2], c2, c3, c1);
+ mul_add_c(a[6], b[1], c2, c3, c1);
+ mul_add_c(a[7], b[0], c2, c3, c1);
+ r[7] = c2;
+ c2 = 0;
+ mul_add_c(a[7], b[1], c3, c1, c2);
+ mul_add_c(a[6], b[2], c3, c1, c2);
+ mul_add_c(a[5], b[3], c3, c1, c2);
+ mul_add_c(a[4], b[4], c3, c1, c2);
+ mul_add_c(a[3], b[5], c3, c1, c2);
+ mul_add_c(a[2], b[6], c3, c1, c2);
+ mul_add_c(a[1], b[7], c3, c1, c2);
+ r[8] = c3;
+ c3 = 0;
+ mul_add_c(a[2], b[7], c1, c2, c3);
+ mul_add_c(a[3], b[6], c1, c2, c3);
+ mul_add_c(a[4], b[5], c1, c2, c3);
+ mul_add_c(a[5], b[4], c1, c2, c3);
+ mul_add_c(a[6], b[3], c1, c2, c3);
+ mul_add_c(a[7], b[2], c1, c2, c3);
+ r[9] = c1;
+ c1 = 0;
+ mul_add_c(a[7], b[3], c2, c3, c1);
+ mul_add_c(a[6], b[4], c2, c3, c1);
+ mul_add_c(a[5], b[5], c2, c3, c1);
+ mul_add_c(a[4], b[6], c2, c3, c1);
+ mul_add_c(a[3], b[7], c2, c3, c1);
+ r[10] = c2;
+ c2 = 0;
+ mul_add_c(a[4], b[7], c3, c1, c2);
+ mul_add_c(a[5], b[6], c3, c1, c2);
+ mul_add_c(a[6], b[5], c3, c1, c2);
+ mul_add_c(a[7], b[4], c3, c1, c2);
+ r[11] = c3;
+ c3 = 0;
+ mul_add_c(a[7], b[5], c1, c2, c3);
+ mul_add_c(a[6], b[6], c1, c2, c3);
+ mul_add_c(a[5], b[7], c1, c2, c3);
+ r[12] = c1;
+ c1 = 0;
+ mul_add_c(a[6], b[7], c2, c3, c1);
+ mul_add_c(a[7], b[6], c2, c3, c1);
+ r[13] = c2;
+ c2 = 0;
+ mul_add_c(a[7], b[7], c3, c1, c2);
+ r[14] = c3;
+ r[15] = c1;
+}
+
+void bn_mul_comba4(BN_ULONG r[8], const BN_ULONG a[4], const BN_ULONG b[4]) {
+ BN_ULONG c1, c2, c3;
+
+ c1 = 0;
+ c2 = 0;
+ c3 = 0;
+ mul_add_c(a[0], b[0], c1, c2, c3);
+ r[0] = c1;
+ c1 = 0;
+ mul_add_c(a[0], b[1], c2, c3, c1);
+ mul_add_c(a[1], b[0], c2, c3, c1);
+ r[1] = c2;
+ c2 = 0;
+ mul_add_c(a[2], b[0], c3, c1, c2);
+ mul_add_c(a[1], b[1], c3, c1, c2);
+ mul_add_c(a[0], b[2], c3, c1, c2);
+ r[2] = c3;
+ c3 = 0;
+ mul_add_c(a[0], b[3], c1, c2, c3);
+ mul_add_c(a[1], b[2], c1, c2, c3);
+ mul_add_c(a[2], b[1], c1, c2, c3);
+ mul_add_c(a[3], b[0], c1, c2, c3);
+ r[3] = c1;
+ c1 = 0;
+ mul_add_c(a[3], b[1], c2, c3, c1);
+ mul_add_c(a[2], b[2], c2, c3, c1);
+ mul_add_c(a[1], b[3], c2, c3, c1);
+ r[4] = c2;
+ c2 = 0;
+ mul_add_c(a[2], b[3], c3, c1, c2);
+ mul_add_c(a[3], b[2], c3, c1, c2);
+ r[5] = c3;
+ c3 = 0;
+ mul_add_c(a[3], b[3], c1, c2, c3);
+ r[6] = c1;
+ r[7] = c2;
+}
+
+void bn_sqr_comba8(BN_ULONG r[16], const BN_ULONG a[8]) {
+ BN_ULONG c1, c2, c3;
+
+ c1 = 0;
+ c2 = 0;
+ c3 = 0;
+ sqr_add_c(a, 0, c1, c2, c3);
+ r[0] = c1;
+ c1 = 0;
+ sqr_add_c2(a, 1, 0, c2, c3, c1);
+ r[1] = c2;
+ c2 = 0;
+ sqr_add_c(a, 1, c3, c1, c2);
+ sqr_add_c2(a, 2, 0, c3, c1, c2);
+ r[2] = c3;
+ c3 = 0;
+ sqr_add_c2(a, 3, 0, c1, c2, c3);
+ sqr_add_c2(a, 2, 1, c1, c2, c3);
+ r[3] = c1;
+ c1 = 0;
+ sqr_add_c(a, 2, c2, c3, c1);
+ sqr_add_c2(a, 3, 1, c2, c3, c1);
+ sqr_add_c2(a, 4, 0, c2, c3, c1);
+ r[4] = c2;
+ c2 = 0;
+ sqr_add_c2(a, 5, 0, c3, c1, c2);
+ sqr_add_c2(a, 4, 1, c3, c1, c2);
+ sqr_add_c2(a, 3, 2, c3, c1, c2);
+ r[5] = c3;
+ c3 = 0;
+ sqr_add_c(a, 3, c1, c2, c3);
+ sqr_add_c2(a, 4, 2, c1, c2, c3);
+ sqr_add_c2(a, 5, 1, c1, c2, c3);
+ sqr_add_c2(a, 6, 0, c1, c2, c3);
+ r[6] = c1;
+ c1 = 0;
+ sqr_add_c2(a, 7, 0, c2, c3, c1);
+ sqr_add_c2(a, 6, 1, c2, c3, c1);
+ sqr_add_c2(a, 5, 2, c2, c3, c1);
+ sqr_add_c2(a, 4, 3, c2, c3, c1);
+ r[7] = c2;
+ c2 = 0;
+ sqr_add_c(a, 4, c3, c1, c2);
+ sqr_add_c2(a, 5, 3, c3, c1, c2);
+ sqr_add_c2(a, 6, 2, c3, c1, c2);
+ sqr_add_c2(a, 7, 1, c3, c1, c2);
+ r[8] = c3;
+ c3 = 0;
+ sqr_add_c2(a, 7, 2, c1, c2, c3);
+ sqr_add_c2(a, 6, 3, c1, c2, c3);
+ sqr_add_c2(a, 5, 4, c1, c2, c3);
+ r[9] = c1;
+ c1 = 0;
+ sqr_add_c(a, 5, c2, c3, c1);
+ sqr_add_c2(a, 6, 4, c2, c3, c1);
+ sqr_add_c2(a, 7, 3, c2, c3, c1);
+ r[10] = c2;
+ c2 = 0;
+ sqr_add_c2(a, 7, 4, c3, c1, c2);
+ sqr_add_c2(a, 6, 5, c3, c1, c2);
+ r[11] = c3;
+ c3 = 0;
+ sqr_add_c(a, 6, c1, c2, c3);
+ sqr_add_c2(a, 7, 5, c1, c2, c3);
+ r[12] = c1;
+ c1 = 0;
+ sqr_add_c2(a, 7, 6, c2, c3, c1);
+ r[13] = c2;
+ c2 = 0;
+ sqr_add_c(a, 7, c3, c1, c2);
+ r[14] = c3;
+ r[15] = c1;
+}
+
+void bn_sqr_comba4(BN_ULONG r[8], const BN_ULONG a[4]) {
+ BN_ULONG c1, c2, c3;
+
+ c1 = 0;
+ c2 = 0;
+ c3 = 0;
+ sqr_add_c(a, 0, c1, c2, c3);
+ r[0] = c1;
+ c1 = 0;
+ sqr_add_c2(a, 1, 0, c2, c3, c1);
+ r[1] = c2;
+ c2 = 0;
+ sqr_add_c(a, 1, c3, c1, c2);
+ sqr_add_c2(a, 2, 0, c3, c1, c2);
+ r[2] = c3;
+ c3 = 0;
+ sqr_add_c2(a, 3, 0, c1, c2, c3);
+ sqr_add_c2(a, 2, 1, c1, c2, c3);
+ r[3] = c1;
+ c1 = 0;
+ sqr_add_c(a, 2, c2, c3, c1);
+ sqr_add_c2(a, 3, 1, c2, c3, c1);
+ r[4] = c2;
+ c2 = 0;
+ sqr_add_c2(a, 3, 2, c3, c1, c2);
+ r[5] = c3;
+ c3 = 0;
+ sqr_add_c(a, 3, c1, c2, c3);
+ r[6] = c1;
+ r[7] = c2;
+}
+
+#undef mul_add
+#undef mul
+#undef sqr
+#undef mul_add_c
+#undef sqr_add_c
+#undef mul_add_c2
+#undef sqr_add_c2
+
+#endif // !NO_ASM && X86_64 && (__GNUC__ || __clang__)
git://repos.xcallymotion.com / motion2.git / blobdiff