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-rw-r--r--crypto/ec/curve448/arch_ref64/f_impl.c308
1 files changed, 308 insertions, 0 deletions
diff --git a/crypto/ec/curve448/arch_ref64/f_impl.c b/crypto/ec/curve448/arch_ref64/f_impl.c
new file mode 100644
index 0000000000..7cb5749cda
--- /dev/null
+++ b/crypto/ec/curve448/arch_ref64/f_impl.c
@@ -0,0 +1,308 @@
+/*
+ * Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2014 Cryptography Research, Inc.
+ *
+ * Licensed under the OpenSSL license (the "License"). You may not use
+ * this file except in compliance with the License. You can obtain a copy
+ * in the file LICENSE in the source distribution or at
+ * https://www.openssl.org/source/license.html
+ *
+ * Originally written by Mike Hamburg
+ */
+#include "field.h"
+
+void gf_mul(gf_s * __restrict__ cs, const gf as, const gf bs)
+{
+ const uint64_t *a = as->limb, *b = bs->limb;
+ uint64_t *c = cs->limb;
+ __uint128_t accum0 = 0, accum1 = 0, accum2;
+ uint64_t mask = (1ull << 56) - 1;
+ uint64_t aa[4], bb[4], bbb[4];
+ unsigned int i;
+
+ for (i = 0; i < 4; i++) {
+ aa[i] = a[i] + a[i + 4];
+ bb[i] = b[i] + b[i + 4];
+ bbb[i] = bb[i] + b[i + 4];
+ }
+
+ int I_HATE_UNROLLED_LOOPS = 0;
+
+ if (I_HATE_UNROLLED_LOOPS) {
+ /*
+ * The compiler probably won't unroll this, so it's like 80% slower.
+ */
+ for (i = 0; i < 4; i++) {
+ accum2 = 0;
+
+ unsigned int j;
+ for (j = 0; j <= i; j++) {
+ accum2 += widemul(a[j], b[i - j]);
+ accum1 += widemul(aa[j], bb[i - j]);
+ accum0 += widemul(a[j + 4], b[i - j + 4]);
+ }
+ for (; j < 4; j++) {
+ accum2 += widemul(a[j], b[i - j + 8]);
+ accum1 += widemul(aa[j], bbb[i - j + 4]);
+ accum0 += widemul(a[j + 4], bb[i - j + 4]);
+ }
+
+ accum1 -= accum2;
+ accum0 += accum2;
+
+ c[i] = ((uint64_t)(accum0)) & mask;
+ c[i + 4] = ((uint64_t)(accum1)) & mask;
+
+ accum0 >>= 56;
+ accum1 >>= 56;
+ }
+ } else {
+ accum2 = widemul(a[0], b[0]);
+ accum1 += widemul(aa[0], bb[0]);
+ accum0 += widemul(a[4], b[4]);
+
+ accum2 += widemul(a[1], b[7]);
+ accum1 += widemul(aa[1], bbb[3]);
+ accum0 += widemul(a[5], bb[3]);
+
+ accum2 += widemul(a[2], b[6]);
+ accum1 += widemul(aa[2], bbb[2]);
+ accum0 += widemul(a[6], bb[2]);
+
+ accum2 += widemul(a[3], b[5]);
+ accum1 += widemul(aa[3], bbb[1]);
+ accum0 += widemul(a[7], bb[1]);
+
+ accum1 -= accum2;
+ accum0 += accum2;
+
+ c[0] = ((uint64_t)(accum0)) & mask;
+ c[4] = ((uint64_t)(accum1)) & mask;
+
+ accum0 >>= 56;
+ accum1 >>= 56;
+
+ accum2 = widemul(a[0], b[1]);
+ accum1 += widemul(aa[0], bb[1]);
+ accum0 += widemul(a[4], b[5]);
+
+ accum2 += widemul(a[1], b[0]);
+ accum1 += widemul(aa[1], bb[0]);
+ accum0 += widemul(a[5], b[4]);
+
+ accum2 += widemul(a[2], b[7]);
+ accum1 += widemul(aa[2], bbb[3]);
+ accum0 += widemul(a[6], bb[3]);
+
+ accum2 += widemul(a[3], b[6]);
+ accum1 += widemul(aa[3], bbb[2]);
+ accum0 += widemul(a[7], bb[2]);
+
+ accum1 -= accum2;
+ accum0 += accum2;
+
+ c[1] = ((uint64_t)(accum0)) & mask;
+ c[5] = ((uint64_t)(accum1)) & mask;
+
+ accum0 >>= 56;
+ accum1 >>= 56;
+
+ accum2 = widemul(a[0], b[2]);
+ accum1 += widemul(aa[0], bb[2]);
+ accum0 += widemul(a[4], b[6]);
+
+ accum2 += widemul(a[1], b[1]);
+ accum1 += widemul(aa[1], bb[1]);
+ accum0 += widemul(a[5], b[5]);
+
+ accum2 += widemul(a[2], b[0]);
+ accum1 += widemul(aa[2], bb[0]);
+ accum0 += widemul(a[6], b[4]);
+
+ accum2 += widemul(a[3], b[7]);
+ accum1 += widemul(aa[3], bbb[3]);
+ accum0 += widemul(a[7], bb[3]);
+
+ accum1 -= accum2;
+ accum0 += accum2;
+
+ c[2] = ((uint64_t)(accum0)) & mask;
+ c[6] = ((uint64_t)(accum1)) & mask;
+
+ accum0 >>= 56;
+ accum1 >>= 56;
+
+ accum2 = widemul(a[0], b[3]);
+ accum1 += widemul(aa[0], bb[3]);
+ accum0 += widemul(a[4], b[7]);
+
+ accum2 += widemul(a[1], b[2]);
+ accum1 += widemul(aa[1], bb[2]);
+ accum0 += widemul(a[5], b[6]);
+
+ accum2 += widemul(a[2], b[1]);
+ accum1 += widemul(aa[2], bb[1]);
+ accum0 += widemul(a[6], b[5]);
+
+ accum2 += widemul(a[3], b[0]);
+ accum1 += widemul(aa[3], bb[0]);
+ accum0 += widemul(a[7], b[4]);
+
+ accum1 -= accum2;
+ accum0 += accum2;
+
+ c[3] = ((uint64_t)(accum0)) & mask;
+ c[7] = ((uint64_t)(accum1)) & mask;
+
+ accum0 >>= 56;
+ accum1 >>= 56;
+ } /* !I_HATE_UNROLLED_LOOPS */
+
+ accum0 += accum1;
+ accum0 += c[4];
+ accum1 += c[0];
+ c[4] = ((uint64_t)(accum0)) & mask;
+ c[0] = ((uint64_t)(accum1)) & mask;
+
+ accum0 >>= 56;
+ accum1 >>= 56;
+
+ c[5] += ((uint64_t)(accum0));
+ c[1] += ((uint64_t)(accum1));
+}
+
+void gf_mulw_unsigned(gf_s * __restrict__ cs, const gf as, uint32_t b)
+{
+ const uint64_t *a = as->limb;
+ uint64_t *c = cs->limb;
+ __uint128_t accum0 = 0, accum4 = 0;
+ uint64_t mask = (1ull << 56) - 1;
+ int i;
+
+ for (i = 0; i < 4; i++) {
+ accum0 += widemul(b, a[i]);
+ accum4 += widemul(b, a[i + 4]);
+ c[i] = accum0 & mask;
+ accum0 >>= 56;
+ c[i + 4] = accum4 & mask;
+ accum4 >>= 56;
+ }
+
+ accum0 += accum4 + c[4];
+ c[4] = accum0 & mask;
+ c[5] += accum0 >> 56;
+
+ accum4 += c[0];
+ c[0] = accum4 & mask;
+ c[1] += accum4 >> 56;
+}
+
+void gf_sqr(gf_s * __restrict__ cs, const gf as)
+{
+ const uint64_t *a = as->limb;
+ uint64_t *c = cs->limb;
+ __uint128_t accum0 = 0, accum1 = 0, accum2;
+ uint64_t mask = (1ull << 56) - 1;
+ uint64_t aa[4];
+
+ /* For some reason clang doesn't vectorize this without prompting? */
+ unsigned int i;
+ for (i = 0; i < 4; i++) {
+ aa[i] = a[i] + a[i + 4];
+ }
+
+ accum2 = widemul(a[0], a[3]);
+ accum0 = widemul(aa[0], aa[3]);
+ accum1 = widemul(a[4], a[7]);
+
+ accum2 += widemul(a[1], a[2]);
+ accum0 += widemul(aa[1], aa[2]);
+ accum1 += widemul(a[5], a[6]);
+
+ accum0 -= accum2;
+ accum1 += accum2;
+
+ c[3] = ((uint64_t)(accum1)) << 1 & mask;
+ c[7] = ((uint64_t)(accum0)) << 1 & mask;
+
+ accum0 >>= 55;
+ accum1 >>= 55;
+
+ accum0 += widemul(2 * aa[1], aa[3]);
+ accum1 += widemul(2 * a[5], a[7]);
+ accum0 += widemul(aa[2], aa[2]);
+ accum1 += accum0;
+
+ accum0 -= widemul(2 * a[1], a[3]);
+ accum1 += widemul(a[6], a[6]);
+
+ accum2 = widemul(a[0], a[0]);
+ accum1 -= accum2;
+ accum0 += accum2;
+
+ accum0 -= widemul(a[2], a[2]);
+ accum1 += widemul(aa[0], aa[0]);
+ accum0 += widemul(a[4], a[4]);
+
+ c[0] = ((uint64_t)(accum0)) & mask;
+ c[4] = ((uint64_t)(accum1)) & mask;
+
+ accum0 >>= 56;
+ accum1 >>= 56;
+
+ accum2 = widemul(2 * aa[2], aa[3]);
+ accum0 -= widemul(2 * a[2], a[3]);
+ accum1 += widemul(2 * a[6], a[7]);
+
+ accum1 += accum2;
+ accum0 += accum2;
+
+ accum2 = widemul(2 * a[0], a[1]);
+ accum1 += widemul(2 * aa[0], aa[1]);
+ accum0 += widemul(2 * a[4], a[5]);
+
+ accum1 -= accum2;
+ accum0 += accum2;
+
+ c[1] = ((uint64_t)(accum0)) & mask;
+ c[5] = ((uint64_t)(accum1)) & mask;
+
+ accum0 >>= 56;
+ accum1 >>= 56;
+
+ accum2 = widemul(aa[3], aa[3]);
+ accum0 -= widemul(a[3], a[3]);
+ accum1 += widemul(a[7], a[7]);
+
+ accum1 += accum2;
+ accum0 += accum2;
+
+ accum2 = widemul(2 * a[0], a[2]);
+ accum1 += widemul(2 * aa[0], aa[2]);
+ accum0 += widemul(2 * a[4], a[6]);
+
+ accum2 += widemul(a[1], a[1]);
+ accum1 += widemul(aa[1], aa[1]);
+ accum0 += widemul(a[5], a[5]);
+
+ accum1 -= accum2;
+ accum0 += accum2;
+
+ c[2] = ((uint64_t)(accum0)) & mask;
+ c[6] = ((uint64_t)(accum1)) & mask;
+
+ accum0 >>= 56;
+ accum1 >>= 56;
+
+ accum0 += c[3];
+ accum1 += c[7];
+ c[3] = ((uint64_t)(accum0)) & mask;
+ c[7] = ((uint64_t)(accum1)) & mask;
+
+ /* we could almost stop here, but it wouldn't be stable, so... */
+
+ accum0 >>= 56;
+ accum1 >>= 56;
+ c[4] += ((uint64_t)(accum0)) + ((uint64_t)(accum1));
+ c[0] += ((uint64_t)(accum1));
+}
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