/* Public domain by Andrew M. See: https://github.com/floodyberry/curve25519-donna SSE2 curve25519 implementation */ #include typedef __m128i xmmi; typedef union packedelem8_t { unsigned char u[16]; xmmi v; } packedelem8; typedef union packedelem32_t { uint32_t u[4]; xmmi v; } packedelem32; typedef union packedelem64_t { uint64_t u[2]; xmmi v; } packedelem64; /* 10 elements + an extra 2 to fit in 3 xmm registers */ typedef uint32_t bignum25519[12]; typedef packedelem32 packed32bignum25519[5]; typedef packedelem64 packed64bignum25519[10]; static const packedelem32 bot32bitmask = {{0xffffffff, 0x00000000, 0xffffffff, 0x00000000}}; static const packedelem32 top32bitmask = {{0x00000000, 0xffffffff, 0x00000000, 0xffffffff}}; static const packedelem32 top64bitmask = {{0x00000000, 0x00000000, 0xffffffff, 0xffffffff}}; static const packedelem32 bot64bitmask = {{0xffffffff, 0xffffffff, 0x00000000, 0x00000000}}; /* reduction masks */ static const packedelem64 packedmask26 = {{0x03ffffff, 0x03ffffff}}; static const packedelem64 packedmask25 = {{0x01ffffff, 0x01ffffff}}; static const packedelem32 packedmask2625 = {{0x3ffffff,0,0x1ffffff,0}}; static const packedelem32 packedmask26262626 = {{0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff}}; static const packedelem32 packedmask25252525 = {{0x01ffffff, 0x01ffffff, 0x01ffffff, 0x01ffffff}}; /* multipliers */ static const packedelem64 packednineteen = {{19, 19}}; static const packedelem64 packednineteenone = {{19, 1}}; static const packedelem64 packedthirtyeight = {{38, 38}}; static const packedelem64 packed3819 = {{19*2,19}}; static const packedelem64 packed9638 = {{19*4,19*2}}; /* 121666,121665 */ static const packedelem64 packed121666121665 = {{121666, 121665}}; /* 2*(2^255 - 19) = 0 mod p */ static const packedelem32 packed2p0 = {{0x7ffffda,0x3fffffe,0x7fffffe,0x3fffffe}}; static const packedelem32 packed2p1 = {{0x7fffffe,0x3fffffe,0x7fffffe,0x3fffffe}}; static const packedelem32 packed2p2 = {{0x7fffffe,0x3fffffe,0x0000000,0x0000000}}; static const packedelem32 packed32packed2p0 = {{0x7ffffda,0x7ffffda,0x3fffffe,0x3fffffe}}; static const packedelem32 packed32packed2p1 = {{0x7fffffe,0x7fffffe,0x3fffffe,0x3fffffe}}; /* 4*(2^255 - 19) = 0 mod p */ static const packedelem32 packed4p0 = {{0xfffffb4,0x7fffffc,0xffffffc,0x7fffffc}}; static const packedelem32 packed4p1 = {{0xffffffc,0x7fffffc,0xffffffc,0x7fffffc}}; static const packedelem32 packed4p2 = {{0xffffffc,0x7fffffc,0x0000000,0x0000000}}; static const packedelem32 packed32packed4p0 = {{0xfffffb4,0xfffffb4,0x7fffffc,0x7fffffc}}; static const packedelem32 packed32packed4p1 = {{0xffffffc,0xffffffc,0x7fffffc,0x7fffffc}}; /* out = in */ DONNA_INLINE static void curve25519_copy(bignum25519 out, const bignum25519 in) { xmmi x0,x1,x2; x0 = _mm_load_si128((xmmi*)in + 0); x1 = _mm_load_si128((xmmi*)in + 1); x2 = _mm_load_si128((xmmi*)in + 2); _mm_store_si128((xmmi*)out + 0, x0); _mm_store_si128((xmmi*)out + 1, x1); _mm_store_si128((xmmi*)out + 2, x2); } /* out = a + b */ DONNA_INLINE static void curve25519_add(bignum25519 out, const bignum25519 a, const bignum25519 b) { xmmi a0,a1,a2,b0,b1,b2; a0 = _mm_load_si128((xmmi*)a + 0); a1 = _mm_load_si128((xmmi*)a + 1); a2 = _mm_load_si128((xmmi*)a + 2); b0 = _mm_load_si128((xmmi*)b + 0); b1 = _mm_load_si128((xmmi*)b + 1); b2 = _mm_load_si128((xmmi*)b + 2); a0 = _mm_add_epi32(a0, b0); a1 = _mm_add_epi32(a1, b1); a2 = _mm_add_epi32(a2, b2); _mm_store_si128((xmmi*)out + 0, a0); _mm_store_si128((xmmi*)out + 1, a1); _mm_store_si128((xmmi*)out + 2, a2); } #define curve25519_add_after_basic curve25519_add_reduce DONNA_INLINE static void curve25519_add_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) { xmmi a0,a1,a2,b0,b1,b2; xmmi c1,c2,c3; xmmi r0,r1,r2,r3,r4,r5; a0 = _mm_load_si128((xmmi*)a + 0); a1 = _mm_load_si128((xmmi*)a + 1); a2 = _mm_load_si128((xmmi*)a + 2); b0 = _mm_load_si128((xmmi*)b + 0); b1 = _mm_load_si128((xmmi*)b + 1); b2 = _mm_load_si128((xmmi*)b + 2); a0 = _mm_add_epi32(a0, b0); a1 = _mm_add_epi32(a1, b1); a2 = _mm_add_epi32(a2, b2); r0 = _mm_and_si128(_mm_unpacklo_epi64(a0, a1), bot32bitmask.v); r1 = _mm_srli_epi64(_mm_unpacklo_epi64(a0, a1), 32); r2 = _mm_and_si128(_mm_unpackhi_epi64(a0, a1), bot32bitmask.v); r3 = _mm_srli_epi64(_mm_unpackhi_epi64(a0, a1), 32); r4 = _mm_and_si128(_mm_unpacklo_epi64(_mm_setzero_si128(), a2), bot32bitmask.v); r5 = _mm_srli_epi64(_mm_unpacklo_epi64(_mm_setzero_si128(), a2), 32); c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); c1 = _mm_srli_epi64(r1, 25); c2 = _mm_srli_epi64(r3, 25); r1 = _mm_and_si128(r1, packedmask25.v); r3 = _mm_and_si128(r3, packedmask25.v); r2 = _mm_add_epi64(r2, c1); r4 = _mm_add_epi64(r4, c2); c3 = _mm_slli_si128(c2, 8); c1 = _mm_srli_epi64(r4, 26); r4 = _mm_and_si128(r4, packedmask26.v); r5 = _mm_add_epi64(r5, c1); c1 = _mm_srli_epi64(r5, 25); r5 = _mm_and_si128(r5, packedmask25.v); r0 = _mm_add_epi64(r0, _mm_unpackhi_epi64(_mm_mul_epu32(c1, packednineteen.v), c3)); c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); _mm_store_si128((xmmi*)out + 0, _mm_unpacklo_epi64(_mm_unpacklo_epi32(r0, r1), _mm_unpacklo_epi32(r2, r3))); _mm_store_si128((xmmi*)out + 1, _mm_unpacklo_epi64(_mm_unpackhi_epi32(r0, r1), _mm_unpackhi_epi32(r2, r3))); _mm_store_si128((xmmi*)out + 2, _mm_unpackhi_epi32(r4, r5)); } DONNA_INLINE static void curve25519_sub(bignum25519 out, const bignum25519 a, const bignum25519 b) { xmmi a0,a1,a2,b0,b1,b2; xmmi c1,c2; xmmi r0,r1; a0 = _mm_load_si128((xmmi*)a + 0); a1 = _mm_load_si128((xmmi*)a + 1); a2 = _mm_load_si128((xmmi*)a + 2); a0 = _mm_add_epi32(a0, packed2p0.v); a1 = _mm_add_epi32(a1, packed2p1.v); a2 = _mm_add_epi32(a2, packed2p2.v); b0 = _mm_load_si128((xmmi*)b + 0); b1 = _mm_load_si128((xmmi*)b + 1); b2 = _mm_load_si128((xmmi*)b + 2); a0 = _mm_sub_epi32(a0, b0); a1 = _mm_sub_epi32(a1, b1); a2 = _mm_sub_epi32(a2, b2); r0 = _mm_and_si128(_mm_shuffle_epi32(a0, _MM_SHUFFLE(2,2,0,0)), bot32bitmask.v); r1 = _mm_and_si128(_mm_shuffle_epi32(a0, _MM_SHUFFLE(3,3,1,1)), bot32bitmask.v); c1 = _mm_srli_epi32(r0, 26); c2 = _mm_srli_epi32(r1, 25); r0 = _mm_and_si128(r0, packedmask26.v); r1 = _mm_and_si128(r1, packedmask25.v); r0 = _mm_add_epi32(r0, _mm_slli_si128(c2, 8)); r1 = _mm_add_epi32(r1, c1); a0 = _mm_unpacklo_epi64(_mm_unpacklo_epi32(r0, r1), _mm_unpackhi_epi32(r0, r1)); a1 = _mm_add_epi32(a1, _mm_srli_si128(c2, 8)); _mm_store_si128((xmmi*)out + 0, a0); _mm_store_si128((xmmi*)out + 1, a1); _mm_store_si128((xmmi*)out + 2, a2); } DONNA_INLINE static void curve25519_sub_after_basic(bignum25519 out, const bignum25519 a, const bignum25519 b) { xmmi a0,a1,a2,b0,b1,b2; xmmi c1,c2,c3; xmmi r0,r1,r2,r3,r4,r5; a0 = _mm_load_si128((xmmi*)a + 0); a1 = _mm_load_si128((xmmi*)a + 1); a2 = _mm_load_si128((xmmi*)a + 2); a0 = _mm_add_epi32(a0, packed4p0.v); a1 = _mm_add_epi32(a1, packed4p1.v); a2 = _mm_add_epi32(a2, packed4p2.v); b0 = _mm_load_si128((xmmi*)b + 0); b1 = _mm_load_si128((xmmi*)b + 1); b2 = _mm_load_si128((xmmi*)b + 2); a0 = _mm_sub_epi32(a0, b0); a1 = _mm_sub_epi32(a1, b1); a2 = _mm_sub_epi32(a2, b2); r0 = _mm_and_si128(_mm_unpacklo_epi64(a0, a1), bot32bitmask.v); r1 = _mm_srli_epi64(_mm_unpacklo_epi64(a0, a1), 32); r2 = _mm_and_si128(_mm_unpackhi_epi64(a0, a1), bot32bitmask.v); r3 = _mm_srli_epi64(_mm_unpackhi_epi64(a0, a1), 32); r4 = _mm_and_si128(_mm_unpacklo_epi64(_mm_setzero_si128(), a2), bot32bitmask.v); r5 = _mm_srli_epi64(_mm_unpacklo_epi64(_mm_setzero_si128(), a2), 32); c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); c1 = _mm_srli_epi64(r1, 25); c2 = _mm_srli_epi64(r3, 25); r1 = _mm_and_si128(r1, packedmask25.v); r3 = _mm_and_si128(r3, packedmask25.v); r2 = _mm_add_epi64(r2, c1); r4 = _mm_add_epi64(r4, c2); c3 = _mm_slli_si128(c2, 8); c1 = _mm_srli_epi64(r4, 26); r4 = _mm_and_si128(r4, packedmask26.v); r5 = _mm_add_epi64(r5, c1); c1 = _mm_srli_epi64(r5, 25); r5 = _mm_and_si128(r5, packedmask25.v); r0 = _mm_add_epi64(r0, _mm_unpackhi_epi64(_mm_mul_epu32(c1, packednineteen.v), c3)); c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); _mm_store_si128((xmmi*)out + 0, _mm_unpacklo_epi64(_mm_unpacklo_epi32(r0, r1), _mm_unpacklo_epi32(r2, r3))); _mm_store_si128((xmmi*)out + 1, _mm_unpacklo_epi64(_mm_unpackhi_epi32(r0, r1), _mm_unpackhi_epi32(r2, r3))); _mm_store_si128((xmmi*)out + 2, _mm_unpackhi_epi32(r4, r5)); } DONNA_INLINE static void curve25519_sub_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) { xmmi a0,a1,a2,b0,b1,b2; xmmi c1,c2,c3; xmmi r0,r1,r2,r3,r4,r5; a0 = _mm_load_si128((xmmi*)a + 0); a1 = _mm_load_si128((xmmi*)a + 1); a2 = _mm_load_si128((xmmi*)a + 2); a0 = _mm_add_epi32(a0, packed2p0.v); a1 = _mm_add_epi32(a1, packed2p1.v); a2 = _mm_add_epi32(a2, packed2p2.v); b0 = _mm_load_si128((xmmi*)b + 0); b1 = _mm_load_si128((xmmi*)b + 1); b2 = _mm_load_si128((xmmi*)b + 2); a0 = _mm_sub_epi32(a0, b0); a1 = _mm_sub_epi32(a1, b1); a2 = _mm_sub_epi32(a2, b2); r0 = _mm_and_si128(_mm_unpacklo_epi64(a0, a1), bot32bitmask.v); r1 = _mm_srli_epi64(_mm_unpacklo_epi64(a0, a1), 32); r2 = _mm_and_si128(_mm_unpackhi_epi64(a0, a1), bot32bitmask.v); r3 = _mm_srli_epi64(_mm_unpackhi_epi64(a0, a1), 32); r4 = _mm_and_si128(_mm_unpacklo_epi64(_mm_setzero_si128(), a2), bot32bitmask.v); r5 = _mm_srli_epi64(_mm_unpacklo_epi64(_mm_setzero_si128(), a2), 32); c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); c1 = _mm_srli_epi64(r1, 25); c2 = _mm_srli_epi64(r3, 25); r1 = _mm_and_si128(r1, packedmask25.v); r3 = _mm_and_si128(r3, packedmask25.v); r2 = _mm_add_epi64(r2, c1); r4 = _mm_add_epi64(r4, c2); c3 = _mm_slli_si128(c2, 8); c1 = _mm_srli_epi64(r4, 26); r4 = _mm_and_si128(r4, packedmask26.v); r5 = _mm_add_epi64(r5, c1); c1 = _mm_srli_epi64(r5, 25); r5 = _mm_and_si128(r5, packedmask25.v); r0 = _mm_add_epi64(r0, _mm_unpackhi_epi64(_mm_mul_epu32(c1, packednineteen.v), c3)); c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); _mm_store_si128((xmmi*)out + 0, _mm_unpacklo_epi64(_mm_unpacklo_epi32(r0, r1), _mm_unpacklo_epi32(r2, r3))); _mm_store_si128((xmmi*)out + 1, _mm_unpacklo_epi64(_mm_unpackhi_epi32(r0, r1), _mm_unpackhi_epi32(r2, r3))); _mm_store_si128((xmmi*)out + 2, _mm_unpackhi_epi32(r4, r5)); } DONNA_INLINE static void curve25519_neg(bignum25519 out, const bignum25519 b) { xmmi a0,a1,a2,b0,b1,b2; xmmi c1,c2,c3; xmmi r0,r1,r2,r3,r4,r5; a0 = packed2p0.v; a1 = packed2p1.v; a2 = packed2p2.v; b0 = _mm_load_si128((xmmi*)b + 0); b1 = _mm_load_si128((xmmi*)b + 1); b2 = _mm_load_si128((xmmi*)b + 2); a0 = _mm_sub_epi32(a0, b0); a1 = _mm_sub_epi32(a1, b1); a2 = _mm_sub_epi32(a2, b2); r0 = _mm_and_si128(_mm_unpacklo_epi64(a0, a1), bot32bitmask.v); r1 = _mm_srli_epi64(_mm_unpacklo_epi64(a0, a1), 32); r2 = _mm_and_si128(_mm_unpackhi_epi64(a0, a1), bot32bitmask.v); r3 = _mm_srli_epi64(_mm_unpackhi_epi64(a0, a1), 32); r4 = _mm_and_si128(_mm_unpacklo_epi64(_mm_setzero_si128(), a2), bot32bitmask.v); r5 = _mm_srli_epi64(_mm_unpacklo_epi64(_mm_setzero_si128(), a2), 32); c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); c1 = _mm_srli_epi64(r1, 25); c2 = _mm_srli_epi64(r3, 25); r1 = _mm_and_si128(r1, packedmask25.v); r3 = _mm_and_si128(r3, packedmask25.v); r2 = _mm_add_epi64(r2, c1); r4 = _mm_add_epi64(r4, c2); c3 = _mm_slli_si128(c2, 8); c1 = _mm_srli_epi64(r4, 26); r4 = _mm_and_si128(r4, packedmask26.v); r5 = _mm_add_epi64(r5, c1); c1 = _mm_srli_epi64(r5, 25); r5 = _mm_and_si128(r5, packedmask25.v); r0 = _mm_add_epi64(r0, _mm_unpackhi_epi64(_mm_mul_epu32(c1, packednineteen.v), c3)); c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); _mm_store_si128((xmmi*)out + 0, _mm_unpacklo_epi64(_mm_unpacklo_epi32(r0, r1), _mm_unpacklo_epi32(r2, r3))); _mm_store_si128((xmmi*)out + 1, _mm_unpacklo_epi64(_mm_unpackhi_epi32(r0, r1), _mm_unpackhi_epi32(r2, r3))); _mm_store_si128((xmmi*)out + 2, _mm_unpackhi_epi32(r4, r5)); } /* Multiply two numbers: out = in2 * in */ static void curve25519_mul(bignum25519 out, const bignum25519 r, const bignum25519 s) { xmmi m01,m23,m45,m67,m89; xmmi m0123,m4567; xmmi s0123,s4567; xmmi s01,s23,s45,s67,s89; xmmi s12,s34,s56,s78,s9; xmmi r0,r2,r4,r6,r8; xmmi r1,r3,r5,r7,r9; xmmi r119,r219,r319,r419,r519,r619,r719,r819,r919; xmmi c1,c2,c3; s0123 = _mm_load_si128((xmmi*)s + 0); s01 = _mm_shuffle_epi32(s0123,_MM_SHUFFLE(3,1,2,0)); s12 = _mm_shuffle_epi32(s0123, _MM_SHUFFLE(2,2,1,1)); s23 = _mm_shuffle_epi32(s0123,_MM_SHUFFLE(3,3,2,2)); s4567 = _mm_load_si128((xmmi*)s + 1); s34 = _mm_unpacklo_epi64(_mm_srli_si128(s0123,12),s4567); s45 = _mm_shuffle_epi32(s4567,_MM_SHUFFLE(3,1,2,0)); s56 = _mm_shuffle_epi32(s4567, _MM_SHUFFLE(2,2,1,1)); s67 = _mm_shuffle_epi32(s4567,_MM_SHUFFLE(3,3,2,2)); s89 = _mm_load_si128((xmmi*)s + 2); s78 = _mm_unpacklo_epi64(_mm_srli_si128(s4567,12),s89); s89 = _mm_shuffle_epi32(s89,_MM_SHUFFLE(3,1,2,0)); s9 = _mm_shuffle_epi32(s89, _MM_SHUFFLE(3,3,2,2)); r0 = _mm_load_si128((xmmi*)r + 0); r1 = _mm_shuffle_epi32(r0, _MM_SHUFFLE(1,1,1,1)); r1 = _mm_add_epi64(r1, _mm_and_si128(r1, top64bitmask.v)); r2 = _mm_shuffle_epi32(r0, _MM_SHUFFLE(2,2,2,2)); r3 = _mm_shuffle_epi32(r0, _MM_SHUFFLE(3,3,3,3)); r3 = _mm_add_epi64(r3, _mm_and_si128(r3, top64bitmask.v)); r0 = _mm_shuffle_epi32(r0, _MM_SHUFFLE(0,0,0,0)); r4 = _mm_load_si128((xmmi*)r + 1); r5 = _mm_shuffle_epi32(r4, _MM_SHUFFLE(1,1,1,1)); r5 = _mm_add_epi64(r5, _mm_and_si128(r5, top64bitmask.v)); r6 = _mm_shuffle_epi32(r4, _MM_SHUFFLE(2,2,2,2)); r7 = _mm_shuffle_epi32(r4, _MM_SHUFFLE(3,3,3,3)); r7 = _mm_add_epi64(r7, _mm_and_si128(r7, top64bitmask.v)); r4 = _mm_shuffle_epi32(r4, _MM_SHUFFLE(0,0,0,0)); r8 = _mm_load_si128((xmmi*)r + 2); r9 = _mm_shuffle_epi32(r8, _MM_SHUFFLE(3,1,3,1)); r9 = _mm_add_epi64(r9, _mm_and_si128(r9, top64bitmask.v)); r8 = _mm_shuffle_epi32(r8, _MM_SHUFFLE(3,0,3,0)); m01 = _mm_mul_epu32(r1,s01); m23 = _mm_mul_epu32(r1,s23); m45 = _mm_mul_epu32(r1,s45); m67 = _mm_mul_epu32(r1,s67); m23 = _mm_add_epi64(m23,_mm_mul_epu32(r3,s01)); m45 = _mm_add_epi64(m45,_mm_mul_epu32(r3,s23)); m67 = _mm_add_epi64(m67,_mm_mul_epu32(r3,s45)); m89 = _mm_mul_epu32(r1,s89); m45 = _mm_add_epi64(m45,_mm_mul_epu32(r5,s01)); m67 = _mm_add_epi64(m67,_mm_mul_epu32(r5,s23)); m89 = _mm_add_epi64(m89,_mm_mul_epu32(r3,s67)); m67 = _mm_add_epi64(m67,_mm_mul_epu32(r7,s01)); m89 = _mm_add_epi64(m89,_mm_mul_epu32(r5,s45)); m89 = _mm_add_epi64(m89,_mm_mul_epu32(r7,s23)); m89 = _mm_add_epi64(m89,_mm_mul_epu32(r9,s01)); /* shift up */ m89 = _mm_unpackhi_epi64(m67,_mm_slli_si128(m89,8)); m67 = _mm_unpackhi_epi64(m45,_mm_slli_si128(m67,8)); m45 = _mm_unpackhi_epi64(m23,_mm_slli_si128(m45,8)); m23 = _mm_unpackhi_epi64(m01,_mm_slli_si128(m23,8)); m01 = _mm_unpackhi_epi64(_mm_setzero_si128(),_mm_slli_si128(m01,8)); m01 = _mm_add_epi64(m01,_mm_mul_epu32(r0,s01)); m23 = _mm_add_epi64(m23,_mm_mul_epu32(r0,s23)); m45 = _mm_add_epi64(m45,_mm_mul_epu32(r0,s45)); m67 = _mm_add_epi64(m67,_mm_mul_epu32(r0,s67)); m23 = _mm_add_epi64(m23,_mm_mul_epu32(r2,s01)); m45 = _mm_add_epi64(m45,_mm_mul_epu32(r2,s23)); m67 = _mm_add_epi64(m67,_mm_mul_epu32(r4,s23)); m89 = _mm_add_epi64(m89,_mm_mul_epu32(r0,s89)); m45 = _mm_add_epi64(m45,_mm_mul_epu32(r4,s01)); m67 = _mm_add_epi64(m67,_mm_mul_epu32(r2,s45)); m89 = _mm_add_epi64(m89,_mm_mul_epu32(r2,s67)); m67 = _mm_add_epi64(m67,_mm_mul_epu32(r6,s01)); m89 = _mm_add_epi64(m89,_mm_mul_epu32(r4,s45)); m89 = _mm_add_epi64(m89,_mm_mul_epu32(r6,s23)); m89 = _mm_add_epi64(m89,_mm_mul_epu32(r8,s01)); r219 = _mm_mul_epu32(r2, packednineteen.v); r419 = _mm_mul_epu32(r4, packednineteen.v); r619 = _mm_mul_epu32(r6, packednineteen.v); r819 = _mm_mul_epu32(r8, packednineteen.v); r119 = _mm_shuffle_epi32(r1,_MM_SHUFFLE(0,0,2,2)); r119 = _mm_mul_epu32(r119, packednineteen.v); r319 = _mm_shuffle_epi32(r3,_MM_SHUFFLE(0,0,2,2)); r319 = _mm_mul_epu32(r319, packednineteen.v); r519 = _mm_shuffle_epi32(r5,_MM_SHUFFLE(0,0,2,2)); r519 = _mm_mul_epu32(r519, packednineteen.v); r719 = _mm_shuffle_epi32(r7,_MM_SHUFFLE(0,0,2,2)); r719 = _mm_mul_epu32(r719, packednineteen.v); r919 = _mm_shuffle_epi32(r9,_MM_SHUFFLE(0,0,2,2)); r919 = _mm_mul_epu32(r919, packednineteen.v); m01 = _mm_add_epi64(m01,_mm_mul_epu32(r919,s12)); m23 = _mm_add_epi64(m23,_mm_mul_epu32(r919,s34)); m45 = _mm_add_epi64(m45,_mm_mul_epu32(r919,s56)); m67 = _mm_add_epi64(m67,_mm_mul_epu32(r919,s78)); m01 = _mm_add_epi64(m01,_mm_mul_epu32(r719,s34)); m23 = _mm_add_epi64(m23,_mm_mul_epu32(r719,s56)); m45 = _mm_add_epi64(m45,_mm_mul_epu32(r719,s78)); m67 = _mm_add_epi64(m67,_mm_mul_epu32(r719,s9)); m01 = _mm_add_epi64(m01,_mm_mul_epu32(r519,s56)); m23 = _mm_add_epi64(m23,_mm_mul_epu32(r519,s78)); m45 = _mm_add_epi64(m45,_mm_mul_epu32(r519,s9)); m67 = _mm_add_epi64(m67,_mm_mul_epu32(r819,s89)); m01 = _mm_add_epi64(m01,_mm_mul_epu32(r319,s78)); m23 = _mm_add_epi64(m23,_mm_mul_epu32(r319,s9)); m45 = _mm_add_epi64(m45,_mm_mul_epu32(r619,s89)); m89 = _mm_add_epi64(m89,_mm_mul_epu32(r919,s9)); m01 = _mm_add_epi64(m01,_mm_mul_epu32(r819,s23)); m23 = _mm_add_epi64(m23,_mm_mul_epu32(r819,s45)); m45 = _mm_add_epi64(m45,_mm_mul_epu32(r819,s67)); m01 = _mm_add_epi64(m01,_mm_mul_epu32(r619,s45)); m23 = _mm_add_epi64(m23,_mm_mul_epu32(r619,s67)); m01 = _mm_add_epi64(m01,_mm_mul_epu32(r419,s67)); m23 = _mm_add_epi64(m23,_mm_mul_epu32(r419,s89)); m01 = _mm_add_epi64(m01,_mm_mul_epu32(r219,s89)); m01 = _mm_add_epi64(m01,_mm_mul_epu32(r119,s9)); r0 = _mm_unpacklo_epi64(m01, m45); r1 = _mm_unpackhi_epi64(m01, m45); r2 = _mm_unpacklo_epi64(m23, m67); r3 = _mm_unpackhi_epi64(m23, m67); r4 = _mm_unpacklo_epi64(m89, m89); r5 = _mm_unpackhi_epi64(m89, m89); c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); c1 = _mm_srli_epi64(r1, 25); c2 = _mm_srli_epi64(r3, 25); r1 = _mm_and_si128(r1, packedmask25.v); r3 = _mm_and_si128(r3, packedmask25.v); r2 = _mm_add_epi64(r2, c1); r4 = _mm_add_epi64(r4, c2); c3 = _mm_slli_si128(c2, 8); c1 = _mm_srli_epi64(r4, 26); r4 = _mm_and_si128(r4, packedmask26.v); r5 = _mm_add_epi64(r5, c1); c1 = _mm_srli_epi64(r5, 25); r5 = _mm_and_si128(r5, packedmask25.v); r0 = _mm_add_epi64(r0, _mm_unpackhi_epi64(_mm_mul_epu32(c1, packednineteen.v), c3)); c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); m0123 = _mm_unpacklo_epi32(r0, r1); m4567 = _mm_unpackhi_epi32(r0, r1); m0123 = _mm_unpacklo_epi64(m0123, _mm_unpacklo_epi32(r2, r3)); m4567 = _mm_unpacklo_epi64(m4567, _mm_unpackhi_epi32(r2, r3)); m89 = _mm_unpackhi_epi32(r4, r5); _mm_store_si128((xmmi*)out + 0, m0123); _mm_store_si128((xmmi*)out + 1, m4567); _mm_store_si128((xmmi*)out + 2, m89); } DONNA_NOINLINE static void curve25519_mul_noinline(bignum25519 out, const bignum25519 r, const bignum25519 s) { curve25519_mul(out, r, s); } #define curve25519_square(r, n) curve25519_square_times(r, n, 1) static void curve25519_square_times(bignum25519 r, const bignum25519 in, int count) { xmmi m01,m23,m45,m67,m89; xmmi r0,r1,r2,r3,r4,r5,r6,r7,r8,r9; xmmi r0a,r1a,r2a,r3a,r7a,r9a; xmmi r0123,r4567; xmmi r01,r23,r45,r67,r6x,r89,r8x; xmmi r12,r34,r56,r78,r9x; xmmi r5619; xmmi c1,c2,c3; r0123 = _mm_load_si128((xmmi*)in + 0); r01 = _mm_shuffle_epi32(r0123,_MM_SHUFFLE(3,1,2,0)); r23 = _mm_shuffle_epi32(r0123,_MM_SHUFFLE(3,3,2,2)); r4567 = _mm_load_si128((xmmi*)in + 1); r45 = _mm_shuffle_epi32(r4567,_MM_SHUFFLE(3,1,2,0)); r67 = _mm_shuffle_epi32(r4567,_MM_SHUFFLE(3,3,2,2)); r89 = _mm_load_si128((xmmi*)in + 2); r89 = _mm_shuffle_epi32(r89,_MM_SHUFFLE(3,1,2,0)); do { r12 = _mm_unpackhi_epi64(r01, _mm_slli_si128(r23, 8)); r0 = _mm_shuffle_epi32(r01, _MM_SHUFFLE(0,0,0,0)); r0 = _mm_add_epi64(r0, _mm_and_si128(r0, top64bitmask.v)); r0a = _mm_shuffle_epi32(r0,_MM_SHUFFLE(3,2,1,2)); r1 = _mm_shuffle_epi32(r01, _MM_SHUFFLE(2,2,2,2)); r2 = _mm_shuffle_epi32(r23, _MM_SHUFFLE(0,0,0,0)); r2 = _mm_add_epi64(r2, _mm_and_si128(r2, top64bitmask.v)); r2a = _mm_shuffle_epi32(r2,_MM_SHUFFLE(3,2,1,2)); r3 = _mm_shuffle_epi32(r23, _MM_SHUFFLE(2,2,2,2)); r34 = _mm_unpackhi_epi64(r23, _mm_slli_si128(r45, 8)); r4 = _mm_shuffle_epi32(r45, _MM_SHUFFLE(0,0,0,0)); r4 = _mm_add_epi64(r4, _mm_and_si128(r4, top64bitmask.v)); r56 = _mm_unpackhi_epi64(r45, _mm_slli_si128(r67, 8)); r5619 = _mm_mul_epu32(r56, packednineteen.v); r5 = _mm_shuffle_epi32(r5619, _MM_SHUFFLE(1,1,1,0)); r6 = _mm_shuffle_epi32(r5619, _MM_SHUFFLE(3,2,3,2)); r78 = _mm_unpackhi_epi64(r67, _mm_slli_si128(r89, 8)); r6x = _mm_unpacklo_epi64(r67, _mm_setzero_si128()); r7 = _mm_shuffle_epi32(r67, _MM_SHUFFLE(2,2,2,2)); r7 = _mm_mul_epu32(r7, packed3819.v); r7a = _mm_shuffle_epi32(r7, _MM_SHUFFLE(3,3,3,2)); r8x = _mm_unpacklo_epi64(r89, _mm_setzero_si128()); r8 = _mm_shuffle_epi32(r89, _MM_SHUFFLE(0,0,0,0)); r8 = _mm_mul_epu32(r8, packednineteen.v); r9 = _mm_shuffle_epi32(r89, _MM_SHUFFLE(2,2,2,2)); r9x = _mm_slli_epi32(_mm_shuffle_epi32(r89, _MM_SHUFFLE(3,3,3,2)), 1); r9 = _mm_mul_epu32(r9, packed3819.v); r9a = _mm_shuffle_epi32(r9, _MM_SHUFFLE(2,2,2,2)); m01 = _mm_mul_epu32(r01, r0); m23 = _mm_mul_epu32(r23, r0a); m45 = _mm_mul_epu32(r45, r0a); m45 = _mm_add_epi64(m45, _mm_mul_epu32(r23, r2)); r23 = _mm_slli_epi32(r23, 1); m67 = _mm_mul_epu32(r67, r0a); m67 = _mm_add_epi64(m67, _mm_mul_epu32(r45, r2a)); m89 = _mm_mul_epu32(r89, r0a); m89 = _mm_add_epi64(m89, _mm_mul_epu32(r67, r2a)); r67 = _mm_slli_epi32(r67, 1); m89 = _mm_add_epi64(m89, _mm_mul_epu32(r45, r4)); r45 = _mm_slli_epi32(r45, 1); r1 = _mm_slli_epi32(r1, 1); r3 = _mm_slli_epi32(r3, 1); r1a = _mm_add_epi64(r1, _mm_and_si128(r1, bot64bitmask.v)); r3a = _mm_add_epi64(r3, _mm_and_si128(r3, bot64bitmask.v)); m23 = _mm_add_epi64(m23, _mm_mul_epu32(r12, r1)); m45 = _mm_add_epi64(m45, _mm_mul_epu32(r34, r1a)); m67 = _mm_add_epi64(m67, _mm_mul_epu32(r56, r1a)); m67 = _mm_add_epi64(m67, _mm_mul_epu32(r34, r3)); r34 = _mm_slli_epi32(r34, 1); m89 = _mm_add_epi64(m89, _mm_mul_epu32(r78, r1a)); r78 = _mm_slli_epi32(r78, 1); m89 = _mm_add_epi64(m89, _mm_mul_epu32(r56, r3a)); r56 = _mm_slli_epi32(r56, 1); m01 = _mm_add_epi64(m01, _mm_mul_epu32(_mm_slli_epi32(r12, 1), r9)); m01 = _mm_add_epi64(m01, _mm_mul_epu32(r34, r7)); m23 = _mm_add_epi64(m23, _mm_mul_epu32(r34, r9)); m01 = _mm_add_epi64(m01, _mm_mul_epu32(r56, r5)); m23 = _mm_add_epi64(m23, _mm_mul_epu32(r56, r7)); m45 = _mm_add_epi64(m45, _mm_mul_epu32(r56, r9)); m01 = _mm_add_epi64(m01, _mm_mul_epu32(r23, r8)); m01 = _mm_add_epi64(m01, _mm_mul_epu32(r45, r6)); m23 = _mm_add_epi64(m23, _mm_mul_epu32(r45, r8)); m23 = _mm_add_epi64(m23, _mm_mul_epu32(r6x, r6)); m45 = _mm_add_epi64(m45, _mm_mul_epu32(r78, r7a)); m67 = _mm_add_epi64(m67, _mm_mul_epu32(r78, r9)); m45 = _mm_add_epi64(m45, _mm_mul_epu32(r67, r8)); m67 = _mm_add_epi64(m67, _mm_mul_epu32(r8x, r8)); m89 = _mm_add_epi64(m89, _mm_mul_epu32(r9x, r9a)); r0 = _mm_unpacklo_epi64(m01, m45); r1 = _mm_unpackhi_epi64(m01, m45); r2 = _mm_unpacklo_epi64(m23, m67); r3 = _mm_unpackhi_epi64(m23, m67); r4 = _mm_unpacklo_epi64(m89, m89); r5 = _mm_unpackhi_epi64(m89, m89); c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); c1 = _mm_srli_epi64(r1, 25); c2 = _mm_srli_epi64(r3, 25); r1 = _mm_and_si128(r1, packedmask25.v); r3 = _mm_and_si128(r3, packedmask25.v); r2 = _mm_add_epi64(r2, c1); r4 = _mm_add_epi64(r4, c2); c3 = _mm_slli_si128(c2, 8); c1 = _mm_srli_epi64(r4, 26); r4 = _mm_and_si128(r4, packedmask26.v); r5 = _mm_add_epi64(r5, c1); c1 = _mm_srli_epi64(r5, 25); r5 = _mm_and_si128(r5, packedmask25.v); r0 = _mm_add_epi64(r0, _mm_unpackhi_epi64(_mm_mul_epu32(c1, packednineteen.v), c3)); c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); r01 = _mm_unpacklo_epi64(r0, r1); r45 = _mm_unpackhi_epi64(r0, r1); r23 = _mm_unpacklo_epi64(r2, r3); r67 = _mm_unpackhi_epi64(r2, r3); r89 = _mm_unpackhi_epi64(r4, r5); } while (--count); r0123 = _mm_shuffle_epi32(r23, _MM_SHUFFLE(2,0,3,3)); r4567 = _mm_shuffle_epi32(r67, _MM_SHUFFLE(2,0,3,3)); r0123 = _mm_or_si128(r0123, _mm_shuffle_epi32(r01, _MM_SHUFFLE(3,3,2,0))); r4567 = _mm_or_si128(r4567, _mm_shuffle_epi32(r45, _MM_SHUFFLE(3,3,2,0))); r89 = _mm_shuffle_epi32(r89, _MM_SHUFFLE(3,3,2,0)); _mm_store_si128((xmmi*)r + 0, r0123); _mm_store_si128((xmmi*)r + 1, r4567); _mm_store_si128((xmmi*)r + 2, r89); } DONNA_INLINE static void curve25519_tangle32(packedelem32 *out, const bignum25519 x, const bignum25519 z) { xmmi x0,x1,x2,z0,z1,z2; x0 = _mm_load_si128((xmmi *)(x + 0)); x1 = _mm_load_si128((xmmi *)(x + 4)); x2 = _mm_load_si128((xmmi *)(x + 8)); z0 = _mm_load_si128((xmmi *)(z + 0)); z1 = _mm_load_si128((xmmi *)(z + 4)); z2 = _mm_load_si128((xmmi *)(z + 8)); out[0].v = _mm_unpacklo_epi32(x0, z0); out[1].v = _mm_unpackhi_epi32(x0, z0); out[2].v = _mm_unpacklo_epi32(x1, z1); out[3].v = _mm_unpackhi_epi32(x1, z1); out[4].v = _mm_unpacklo_epi32(x2, z2); } DONNA_INLINE static void curve25519_untangle32(bignum25519 x, bignum25519 z, const packedelem32 *in) { xmmi t0,t1,t2,t3,t4,zero; t0 = _mm_shuffle_epi32(in[0].v, _MM_SHUFFLE(3,1,2,0)); t1 = _mm_shuffle_epi32(in[1].v, _MM_SHUFFLE(3,1,2,0)); t2 = _mm_shuffle_epi32(in[2].v, _MM_SHUFFLE(3,1,2,0)); t3 = _mm_shuffle_epi32(in[3].v, _MM_SHUFFLE(3,1,2,0)); t4 = _mm_shuffle_epi32(in[4].v, _MM_SHUFFLE(3,1,2,0)); zero = _mm_setzero_si128(); _mm_store_si128((xmmi *)x + 0, _mm_unpacklo_epi64(t0, t1)); _mm_store_si128((xmmi *)x + 1, _mm_unpacklo_epi64(t2, t3)); _mm_store_si128((xmmi *)x + 2, _mm_unpacklo_epi64(t4, zero)); _mm_store_si128((xmmi *)z + 0, _mm_unpackhi_epi64(t0, t1)); _mm_store_si128((xmmi *)z + 1, _mm_unpackhi_epi64(t2, t3)); _mm_store_si128((xmmi *)z + 2, _mm_unpackhi_epi64(t4, zero)); } DONNA_INLINE static void curve25519_add_reduce_packed32(packedelem32 *out, const packedelem32 *r, const packedelem32 *s) { xmmi r0,r1,r2,r3,r4; xmmi s0,s1,s2,s3,s4,s5; xmmi c1,c2; r0 = _mm_add_epi32(r[0].v, s[0].v); r1 = _mm_add_epi32(r[1].v, s[1].v); r2 = _mm_add_epi32(r[2].v, s[2].v); r3 = _mm_add_epi32(r[3].v, s[3].v); r4 = _mm_add_epi32(r[4].v, s[4].v); s0 = _mm_unpacklo_epi64(r0, r2); /* 00 44 */ s1 = _mm_unpackhi_epi64(r0, r2); /* 11 55 */ s2 = _mm_unpacklo_epi64(r1, r3); /* 22 66 */ s3 = _mm_unpackhi_epi64(r1, r3); /* 33 77 */ s4 = _mm_unpacklo_epi64(_mm_setzero_si128(), r4); /* 00 88 */ s5 = _mm_unpackhi_epi64(_mm_setzero_si128(), r4); /* 00 99 */ c1 = _mm_srli_epi32(s0, 26); c2 = _mm_srli_epi32(s2, 26); s0 = _mm_and_si128(s0, packedmask26262626.v); s2 = _mm_and_si128(s2, packedmask26262626.v); s1 = _mm_add_epi32(s1, c1); s3 = _mm_add_epi32(s3, c2); c1 = _mm_srli_epi32(s1, 25); c2 = _mm_srli_epi32(s3, 25); s1 = _mm_and_si128(s1, packedmask25252525.v); s3 = _mm_and_si128(s3, packedmask25252525.v); s2 = _mm_add_epi32(s2, c1); s4 = _mm_add_epi32(s4, _mm_unpackhi_epi64(_mm_setzero_si128(), c2)); s0 = _mm_add_epi32(s0, _mm_unpacklo_epi64(_mm_setzero_si128(), c2)); c1 = _mm_srli_epi32(s2, 26); c2 = _mm_srli_epi32(s4, 26); s2 = _mm_and_si128(s2, packedmask26262626.v); s4 = _mm_and_si128(s4, packedmask26262626.v); s3 = _mm_add_epi32(s3, c1); s5 = _mm_add_epi32(s5, c2); c1 = _mm_srli_epi32(s3, 25); c2 = _mm_srli_epi32(s5, 25); s3 = _mm_and_si128(s3, packedmask25252525.v); s5 = _mm_and_si128(s5, packedmask25252525.v); s4 = _mm_add_epi32(s4, c1); s0 = _mm_add_epi32(s0, _mm_or_si128(_mm_slli_si128(c1, 8), _mm_srli_si128(_mm_add_epi32(_mm_add_epi32(_mm_slli_epi32(c2, 4), _mm_slli_epi32(c2, 1)), c2), 8))); c1 = _mm_srli_epi32(s0, 26); c2 = _mm_srli_epi32(s2, 26); s0 = _mm_and_si128(s0, packedmask26262626.v); s2 = _mm_and_si128(s2, packedmask26262626.v); s1 = _mm_add_epi32(s1, c1); s3 = _mm_add_epi32(s3, c2); out[0].v = _mm_unpacklo_epi64(s0, s1); /* 00 11 */ out[1].v = _mm_unpacklo_epi64(s2, s3); /* 22 33 */ out[2].v = _mm_unpackhi_epi64(s0, s1); /* 44 55 */ out[3].v = _mm_unpackhi_epi64(s2, s3); /* 66 77 */ out[4].v = _mm_unpackhi_epi64(s4, s5); /* 88 99 */ } DONNA_INLINE static void curve25519_add_packed32(packedelem32 *out, const packedelem32 *r, const packedelem32 *s) { out[0].v = _mm_add_epi32(r[0].v, s[0].v); out[1].v = _mm_add_epi32(r[1].v, s[1].v); out[2].v = _mm_add_epi32(r[2].v, s[2].v); out[3].v = _mm_add_epi32(r[3].v, s[3].v); out[4].v = _mm_add_epi32(r[4].v, s[4].v); } DONNA_INLINE static void curve25519_sub_packed32(packedelem32 *out, const packedelem32 *r, const packedelem32 *s) { xmmi r0,r1,r2,r3,r4; xmmi s0,s1,s2,s3; xmmi c1,c2; r0 = _mm_add_epi32(r[0].v, packed32packed2p0.v); r1 = _mm_add_epi32(r[1].v, packed32packed2p1.v); r2 = _mm_add_epi32(r[2].v, packed32packed2p1.v); r3 = _mm_add_epi32(r[3].v, packed32packed2p1.v); r4 = _mm_add_epi32(r[4].v, packed32packed2p1.v); r0 = _mm_sub_epi32(r0, s[0].v); /* 00 11 */ r1 = _mm_sub_epi32(r1, s[1].v); /* 22 33 */ r2 = _mm_sub_epi32(r2, s[2].v); /* 44 55 */ r3 = _mm_sub_epi32(r3, s[3].v); /* 66 77 */ r4 = _mm_sub_epi32(r4, s[4].v); /* 88 99 */ s0 = _mm_unpacklo_epi64(r0, r2); /* 00 44 */ s1 = _mm_unpackhi_epi64(r0, r2); /* 11 55 */ s2 = _mm_unpacklo_epi64(r1, r3); /* 22 66 */ s3 = _mm_unpackhi_epi64(r1, r3); /* 33 77 */ c1 = _mm_srli_epi32(s0, 26); c2 = _mm_srli_epi32(s2, 26); s0 = _mm_and_si128(s0, packedmask26262626.v); s2 = _mm_and_si128(s2, packedmask26262626.v); s1 = _mm_add_epi32(s1, c1); s3 = _mm_add_epi32(s3, c2); c1 = _mm_srli_epi32(s1, 25); c2 = _mm_srli_epi32(s3, 25); s1 = _mm_and_si128(s1, packedmask25252525.v); s3 = _mm_and_si128(s3, packedmask25252525.v); s2 = _mm_add_epi32(s2, c1); r4 = _mm_add_epi32(r4, _mm_srli_si128(c2, 8)); s0 = _mm_add_epi32(s0, _mm_slli_si128(c2, 8)); out[0].v = _mm_unpacklo_epi64(s0, s1); /* 00 11 */ out[1].v = _mm_unpacklo_epi64(s2, s3); /* 22 33 */ out[2].v = _mm_unpackhi_epi64(s0, s1); /* 44 55 */ out[3].v = _mm_unpackhi_epi64(s2, s3); /* 66 77 */ out[4].v = r4; } DONNA_INLINE static void curve25519_sub_after_basic_packed32(packedelem32 *out, const packedelem32 *r, const packedelem32 *s) { xmmi r0,r1,r2,r3,r4; xmmi s0,s1,s2,s3,s4,s5; xmmi c1,c2; r0 = _mm_add_epi32(r[0].v, packed32packed4p0.v); r1 = _mm_add_epi32(r[1].v, packed32packed4p1.v); r2 = _mm_add_epi32(r[2].v, packed32packed4p1.v); r3 = _mm_add_epi32(r[3].v, packed32packed4p1.v); r4 = _mm_add_epi32(r[4].v, packed32packed4p1.v); r0 = _mm_sub_epi32(r0, s[0].v); /* 00 11 */ r1 = _mm_sub_epi32(r1, s[1].v); /* 22 33 */ r2 = _mm_sub_epi32(r2, s[2].v); /* 44 55 */ r3 = _mm_sub_epi32(r3, s[3].v); /* 66 77 */ r4 = _mm_sub_epi32(r4, s[4].v); /* 88 99 */ s0 = _mm_unpacklo_epi64(r0, r2); /* 00 44 */ s1 = _mm_unpackhi_epi64(r0, r2); /* 11 55 */ s2 = _mm_unpacklo_epi64(r1, r3); /* 22 66 */ s3 = _mm_unpackhi_epi64(r1, r3); /* 33 77 */ s4 = _mm_unpacklo_epi64(_mm_setzero_si128(), r4); /* 00 88 */ s5 = _mm_unpackhi_epi64(_mm_setzero_si128(), r4); /* 00 99 */ c1 = _mm_srli_epi32(s0, 26); c2 = _mm_srli_epi32(s2, 26); s0 = _mm_and_si128(s0, packedmask26262626.v); s2 = _mm_and_si128(s2, packedmask26262626.v); s1 = _mm_add_epi32(s1, c1); s3 = _mm_add_epi32(s3, c2); c1 = _mm_srli_epi32(s1, 25); c2 = _mm_srli_epi32(s3, 25); s1 = _mm_and_si128(s1, packedmask25252525.v); s3 = _mm_and_si128(s3, packedmask25252525.v); s2 = _mm_add_epi32(s2, c1); s4 = _mm_add_epi32(s4, _mm_unpackhi_epi64(_mm_setzero_si128(), c2)); s0 = _mm_add_epi32(s0, _mm_unpacklo_epi64(_mm_setzero_si128(), c2)); c1 = _mm_srli_epi32(s2, 26); c2 = _mm_srli_epi32(s4, 26); s2 = _mm_and_si128(s2, packedmask26262626.v); s4 = _mm_and_si128(s4, packedmask26262626.v); s3 = _mm_add_epi32(s3, c1); s5 = _mm_add_epi32(s5, c2); c1 = _mm_srli_epi32(s3, 25); c2 = _mm_srli_epi32(s5, 25); s3 = _mm_and_si128(s3, packedmask25252525.v); s5 = _mm_and_si128(s5, packedmask25252525.v); s4 = _mm_add_epi32(s4, c1); s0 = _mm_add_epi32(s0, _mm_or_si128(_mm_slli_si128(c1, 8), _mm_srli_si128(_mm_add_epi32(_mm_add_epi32(_mm_slli_epi32(c2, 4), _mm_slli_epi32(c2, 1)), c2), 8))); c1 = _mm_srli_epi32(s0, 26); c2 = _mm_srli_epi32(s2, 26); s0 = _mm_and_si128(s0, packedmask26262626.v); s2 = _mm_and_si128(s2, packedmask26262626.v); s1 = _mm_add_epi32(s1, c1); s3 = _mm_add_epi32(s3, c2); out[0].v = _mm_unpacklo_epi64(s0, s1); /* 00 11 */ out[1].v = _mm_unpacklo_epi64(s2, s3); /* 22 33 */ out[2].v = _mm_unpackhi_epi64(s0, s1); /* 44 55 */ out[3].v = _mm_unpackhi_epi64(s2, s3); /* 66 77 */ out[4].v = _mm_unpackhi_epi64(s4, s5); /* 88 99 */ } DONNA_INLINE static void curve25519_tangle64_from32(packedelem64 *a, packedelem64 *b, const packedelem32 *c, const packedelem32 *d) { xmmi c0,c1,c2,c3,c4,c5,t; xmmi d0,d1,d2,d3,d4,d5; xmmi t0,t1,t2,t3,t4,zero; t0 = _mm_shuffle_epi32(c[0].v, _MM_SHUFFLE(3,1,2,0)); t1 = _mm_shuffle_epi32(c[1].v, _MM_SHUFFLE(3,1,2,0)); t2 = _mm_shuffle_epi32(d[0].v, _MM_SHUFFLE(3,1,2,0)); t3 = _mm_shuffle_epi32(d[1].v, _MM_SHUFFLE(3,1,2,0)); c0 = _mm_unpacklo_epi64(t0, t1); c3 = _mm_unpackhi_epi64(t0, t1); d0 = _mm_unpacklo_epi64(t2, t3); d3 = _mm_unpackhi_epi64(t2, t3); t = _mm_unpacklo_epi64(c0, d0); a[0].v = t; a[1].v = _mm_srli_epi64(t, 32); t = _mm_unpackhi_epi64(c0, d0); a[2].v = t; a[3].v = _mm_srli_epi64(t, 32); t = _mm_unpacklo_epi64(c3, d3); b[0].v = t; b[1].v = _mm_srli_epi64(t, 32); t = _mm_unpackhi_epi64(c3, d3); b[2].v = t; b[3].v = _mm_srli_epi64(t, 32); t0 = _mm_shuffle_epi32(c[2].v, _MM_SHUFFLE(3,1,2,0)); t1 = _mm_shuffle_epi32(c[3].v, _MM_SHUFFLE(3,1,2,0)); t2 = _mm_shuffle_epi32(d[2].v, _MM_SHUFFLE(3,1,2,0)); t3 = _mm_shuffle_epi32(d[3].v, _MM_SHUFFLE(3,1,2,0)); c1 = _mm_unpacklo_epi64(t0, t1); c4 = _mm_unpackhi_epi64(t0, t1); d1 = _mm_unpacklo_epi64(t2, t3); d4 = _mm_unpackhi_epi64(t2, t3); t = _mm_unpacklo_epi64(c1, d1); a[4].v = t; a[5].v = _mm_srli_epi64(t, 32); t = _mm_unpackhi_epi64(c1, d1); a[6].v = t; a[7].v = _mm_srli_epi64(t, 32); t = _mm_unpacklo_epi64(c4, d4); b[4].v = t; b[5].v = _mm_srli_epi64(t, 32); t = _mm_unpackhi_epi64(c4, d4); b[6].v = t; b[7].v = _mm_srli_epi64(t, 32); t4 = _mm_shuffle_epi32(c[4].v, _MM_SHUFFLE(3,1,2,0)); zero = _mm_setzero_si128(); c2 = _mm_unpacklo_epi64(t4, zero); c5 = _mm_unpackhi_epi64(t4, zero); t4 = _mm_shuffle_epi32(d[4].v, _MM_SHUFFLE(3,1,2,0)); d2 = _mm_unpacklo_epi64(t4, zero); d5 = _mm_unpackhi_epi64(t4, zero); t = _mm_unpacklo_epi64(c2, d2); a[8].v = t; a[9].v = _mm_srli_epi64(t, 32); t = _mm_unpacklo_epi64(c5, d5); b[8].v = t; b[9].v = _mm_srli_epi64(t, 32); } DONNA_INLINE static void curve25519_tangle64(packedelem64 *out, const bignum25519 x, const bignum25519 z) { xmmi x0,x1,x2,z0,z1,z2,t; x0 = _mm_load_si128((xmmi *)x + 0); x1 = _mm_load_si128((xmmi *)x + 1); x2 = _mm_load_si128((xmmi *)x + 2); z0 = _mm_load_si128((xmmi *)z + 0); z1 = _mm_load_si128((xmmi *)z + 1); z2 = _mm_load_si128((xmmi *)z + 2); t = _mm_unpacklo_epi64(x0, z0); out[0].v = t; out[1].v = _mm_srli_epi64(t, 32); t = _mm_unpackhi_epi64(x0, z0); out[2].v = t; out[3].v = _mm_srli_epi64(t, 32); t = _mm_unpacklo_epi64(x1, z1); out[4].v = t; out[5].v = _mm_srli_epi64(t, 32); t = _mm_unpackhi_epi64(x1, z1); out[6].v = t; out[7].v = _mm_srli_epi64(t, 32); t = _mm_unpacklo_epi64(x2, z2); out[8].v = t; out[9].v = _mm_srli_epi64(t, 32); } DONNA_INLINE static void curve25519_tangleone64(packedelem64 *out, const bignum25519 x) { xmmi x0,x1,x2; x0 = _mm_load_si128((xmmi *)(x + 0)); x1 = _mm_load_si128((xmmi *)(x + 4)); x2 = _mm_load_si128((xmmi *)(x + 8)); out[0].v = _mm_shuffle_epi32(x0, _MM_SHUFFLE(0,0,0,0)); out[1].v = _mm_shuffle_epi32(x0, _MM_SHUFFLE(1,1,1,1)); out[2].v = _mm_shuffle_epi32(x0, _MM_SHUFFLE(2,2,2,2)); out[3].v = _mm_shuffle_epi32(x0, _MM_SHUFFLE(3,3,3,3)); out[4].v = _mm_shuffle_epi32(x1, _MM_SHUFFLE(0,0,0,0)); out[5].v = _mm_shuffle_epi32(x1, _MM_SHUFFLE(1,1,1,1)); out[6].v = _mm_shuffle_epi32(x1, _MM_SHUFFLE(2,2,2,2)); out[7].v = _mm_shuffle_epi32(x1, _MM_SHUFFLE(3,3,3,3)); out[8].v = _mm_shuffle_epi32(x2, _MM_SHUFFLE(0,0,0,0)); out[9].v = _mm_shuffle_epi32(x2, _MM_SHUFFLE(1,1,1,1)); } DONNA_INLINE static void curve25519_swap64(packedelem64 *out) { out[0].v = _mm_shuffle_epi32(out[0].v, _MM_SHUFFLE(1,0,3,2)); out[1].v = _mm_shuffle_epi32(out[1].v, _MM_SHUFFLE(1,0,3,2)); out[2].v = _mm_shuffle_epi32(out[2].v, _MM_SHUFFLE(1,0,3,2)); out[3].v = _mm_shuffle_epi32(out[3].v, _MM_SHUFFLE(1,0,3,2)); out[4].v = _mm_shuffle_epi32(out[4].v, _MM_SHUFFLE(1,0,3,2)); out[5].v = _mm_shuffle_epi32(out[5].v, _MM_SHUFFLE(1,0,3,2)); out[6].v = _mm_shuffle_epi32(out[6].v, _MM_SHUFFLE(1,0,3,2)); out[7].v = _mm_shuffle_epi32(out[7].v, _MM_SHUFFLE(1,0,3,2)); out[8].v = _mm_shuffle_epi32(out[8].v, _MM_SHUFFLE(1,0,3,2)); out[9].v = _mm_shuffle_epi32(out[9].v, _MM_SHUFFLE(1,0,3,2)); } DONNA_INLINE static void curve25519_untangle64(bignum25519 x, bignum25519 z, const packedelem64 *in) { _mm_store_si128((xmmi *)(x + 0), _mm_unpacklo_epi64(_mm_unpacklo_epi32(in[0].v, in[1].v), _mm_unpacklo_epi32(in[2].v, in[3].v))); _mm_store_si128((xmmi *)(x + 4), _mm_unpacklo_epi64(_mm_unpacklo_epi32(in[4].v, in[5].v), _mm_unpacklo_epi32(in[6].v, in[7].v))); _mm_store_si128((xmmi *)(x + 8), _mm_unpacklo_epi32(in[8].v, in[9].v) ); _mm_store_si128((xmmi *)(z + 0), _mm_unpacklo_epi64(_mm_unpackhi_epi32(in[0].v, in[1].v), _mm_unpackhi_epi32(in[2].v, in[3].v))); _mm_store_si128((xmmi *)(z + 4), _mm_unpacklo_epi64(_mm_unpackhi_epi32(in[4].v, in[5].v), _mm_unpackhi_epi32(in[6].v, in[7].v))); _mm_store_si128((xmmi *)(z + 8), _mm_unpackhi_epi32(in[8].v, in[9].v) ); } DONNA_INLINE static void curve25519_mul_packed64(packedelem64 *out, const packedelem64 *r, const packedelem64 *s) { xmmi r1,r2,r3,r4,r5,r6,r7,r8,r9; xmmi r1_2,r3_2,r5_2,r7_2,r9_2; xmmi c1,c2; out[0].v = _mm_mul_epu32(r[0].v, s[0].v); out[1].v = _mm_add_epi64(_mm_mul_epu32(r[0].v, s[1].v), _mm_mul_epu32(r[1].v, s[0].v)); r1_2 = _mm_slli_epi32(r[1].v, 1); out[2].v = _mm_add_epi64(_mm_mul_epu32(r[0].v, s[2].v), _mm_add_epi64(_mm_mul_epu32(r1_2 , s[1].v), _mm_mul_epu32(r[2].v, s[0].v))); out[3].v = _mm_add_epi64(_mm_mul_epu32(r[0].v, s[3].v), _mm_add_epi64(_mm_mul_epu32(r[1].v, s[2].v), _mm_add_epi64(_mm_mul_epu32(r[2].v, s[1].v), _mm_mul_epu32(r[3].v, s[0].v)))); r3_2 = _mm_slli_epi32(r[3].v, 1); out[4].v = _mm_add_epi64(_mm_mul_epu32(r[0].v, s[4].v), _mm_add_epi64(_mm_mul_epu32(r1_2 , s[3].v), _mm_add_epi64(_mm_mul_epu32(r[2].v, s[2].v), _mm_add_epi64(_mm_mul_epu32(r3_2 , s[1].v), _mm_mul_epu32(r[4].v, s[0].v))))); out[5].v = _mm_add_epi64(_mm_mul_epu32(r[0].v, s[5].v), _mm_add_epi64(_mm_mul_epu32(r[1].v, s[4].v), _mm_add_epi64(_mm_mul_epu32(r[2].v, s[3].v), _mm_add_epi64(_mm_mul_epu32(r[3].v, s[2].v), _mm_add_epi64(_mm_mul_epu32(r[4].v, s[1].v), _mm_mul_epu32(r[5].v, s[0].v)))))); r5_2 = _mm_slli_epi32(r[5].v, 1); out[6].v = _mm_add_epi64(_mm_mul_epu32(r[0].v, s[6].v), _mm_add_epi64(_mm_mul_epu32(r1_2 , s[5].v), _mm_add_epi64(_mm_mul_epu32(r[2].v, s[4].v), _mm_add_epi64(_mm_mul_epu32(r3_2 , s[3].v), _mm_add_epi64(_mm_mul_epu32(r[4].v, s[2].v), _mm_add_epi64(_mm_mul_epu32(r5_2 , s[1].v), _mm_mul_epu32(r[6].v, s[0].v))))))); out[7].v = _mm_add_epi64(_mm_mul_epu32(r[0].v, s[7].v), _mm_add_epi64(_mm_mul_epu32(r[1].v, s[6].v), _mm_add_epi64(_mm_mul_epu32(r[2].v, s[5].v), _mm_add_epi64(_mm_mul_epu32(r[3].v, s[4].v), _mm_add_epi64(_mm_mul_epu32(r[4].v, s[3].v), _mm_add_epi64(_mm_mul_epu32(r[5].v, s[2].v), _mm_add_epi64(_mm_mul_epu32(r[6].v, s[1].v), _mm_mul_epu32(r[7].v , s[0].v)))))))); r7_2 = _mm_slli_epi32(r[7].v, 1); out[8].v = _mm_add_epi64(_mm_mul_epu32(r[0].v, s[8].v), _mm_add_epi64(_mm_mul_epu32(r1_2 , s[7].v), _mm_add_epi64(_mm_mul_epu32(r[2].v, s[6].v), _mm_add_epi64(_mm_mul_epu32(r3_2 , s[5].v), _mm_add_epi64(_mm_mul_epu32(r[4].v, s[4].v), _mm_add_epi64(_mm_mul_epu32(r5_2 , s[3].v), _mm_add_epi64(_mm_mul_epu32(r[6].v, s[2].v), _mm_add_epi64(_mm_mul_epu32(r7_2 , s[1].v), _mm_mul_epu32(r[8].v, s[0].v))))))))); out[9].v = _mm_add_epi64(_mm_mul_epu32(r[0].v, s[9].v), _mm_add_epi64(_mm_mul_epu32(r[1].v, s[8].v), _mm_add_epi64(_mm_mul_epu32(r[2].v, s[7].v), _mm_add_epi64(_mm_mul_epu32(r[3].v, s[6].v), _mm_add_epi64(_mm_mul_epu32(r[4].v, s[5].v), _mm_add_epi64(_mm_mul_epu32(r[5].v, s[4].v), _mm_add_epi64(_mm_mul_epu32(r[6].v, s[3].v), _mm_add_epi64(_mm_mul_epu32(r[7].v, s[2].v), _mm_add_epi64(_mm_mul_epu32(r[8].v, s[1].v), _mm_mul_epu32(r[9].v, s[0].v)))))))))); r1 = _mm_mul_epu32(r[1].v, packednineteen.v); r2 = _mm_mul_epu32(r[2].v, packednineteen.v); r1_2 = _mm_slli_epi32(r1, 1); r3 = _mm_mul_epu32(r[3].v, packednineteen.v); r4 = _mm_mul_epu32(r[4].v, packednineteen.v); r3_2 = _mm_slli_epi32(r3, 1); r5 = _mm_mul_epu32(r[5].v, packednineteen.v); r6 = _mm_mul_epu32(r[6].v, packednineteen.v); r5_2 = _mm_slli_epi32(r5, 1); r7 = _mm_mul_epu32(r[7].v, packednineteen.v); r8 = _mm_mul_epu32(r[8].v, packednineteen.v); r7_2 = _mm_slli_epi32(r7, 1); r9 = _mm_mul_epu32(r[9].v, packednineteen.v); r9_2 = _mm_slli_epi32(r9, 1); out[0].v = _mm_add_epi64(out[0].v, _mm_add_epi64(_mm_mul_epu32(r9_2, s[1].v), _mm_add_epi64(_mm_mul_epu32(r8, s[2].v), _mm_add_epi64(_mm_mul_epu32(r7_2, s[3].v), _mm_add_epi64(_mm_mul_epu32(r6, s[4].v), _mm_add_epi64(_mm_mul_epu32(r5_2, s[5].v), _mm_add_epi64(_mm_mul_epu32(r4, s[6].v), _mm_add_epi64(_mm_mul_epu32(r3_2, s[7].v), _mm_add_epi64(_mm_mul_epu32(r2, s[8].v), _mm_mul_epu32(r1_2, s[9].v)))))))))); out[1].v = _mm_add_epi64(out[1].v, _mm_add_epi64(_mm_mul_epu32(r9 , s[2].v), _mm_add_epi64(_mm_mul_epu32(r8, s[3].v), _mm_add_epi64(_mm_mul_epu32(r7 , s[4].v), _mm_add_epi64(_mm_mul_epu32(r6, s[5].v), _mm_add_epi64(_mm_mul_epu32(r5 , s[6].v), _mm_add_epi64(_mm_mul_epu32(r4, s[7].v), _mm_add_epi64(_mm_mul_epu32(r3 , s[8].v), _mm_mul_epu32(r2, s[9].v))))))))); out[2].v = _mm_add_epi64(out[2].v, _mm_add_epi64(_mm_mul_epu32(r9_2, s[3].v), _mm_add_epi64(_mm_mul_epu32(r8, s[4].v), _mm_add_epi64(_mm_mul_epu32(r7_2, s[5].v), _mm_add_epi64(_mm_mul_epu32(r6, s[6].v), _mm_add_epi64(_mm_mul_epu32(r5_2, s[7].v), _mm_add_epi64(_mm_mul_epu32(r4, s[8].v), _mm_mul_epu32(r3_2, s[9].v)))))))); out[3].v = _mm_add_epi64(out[3].v, _mm_add_epi64(_mm_mul_epu32(r9 , s[4].v), _mm_add_epi64(_mm_mul_epu32(r8, s[5].v), _mm_add_epi64(_mm_mul_epu32(r7 , s[6].v), _mm_add_epi64(_mm_mul_epu32(r6, s[7].v), _mm_add_epi64(_mm_mul_epu32(r5 , s[8].v), _mm_mul_epu32(r4, s[9].v))))))); out[4].v = _mm_add_epi64(out[4].v, _mm_add_epi64(_mm_mul_epu32(r9_2, s[5].v), _mm_add_epi64(_mm_mul_epu32(r8, s[6].v), _mm_add_epi64(_mm_mul_epu32(r7_2, s[7].v), _mm_add_epi64(_mm_mul_epu32(r6, s[8].v), _mm_mul_epu32(r5_2, s[9].v)))))); out[5].v = _mm_add_epi64(out[5].v, _mm_add_epi64(_mm_mul_epu32(r9 , s[6].v), _mm_add_epi64(_mm_mul_epu32(r8, s[7].v), _mm_add_epi64(_mm_mul_epu32(r7 , s[8].v), _mm_mul_epu32(r6, s[9].v))))); out[6].v = _mm_add_epi64(out[6].v, _mm_add_epi64(_mm_mul_epu32(r9_2, s[7].v), _mm_add_epi64(_mm_mul_epu32(r8, s[8].v), _mm_mul_epu32(r7_2, s[9].v)))); out[7].v = _mm_add_epi64(out[7].v, _mm_add_epi64(_mm_mul_epu32(r9 , s[8].v), _mm_mul_epu32(r8, s[9].v))); out[8].v = _mm_add_epi64(out[8].v, _mm_mul_epu32(r9_2, s[9].v)); c1 = _mm_srli_epi64(out[0].v, 26); c2 = _mm_srli_epi64(out[4].v, 26); out[0].v = _mm_and_si128(out[0].v, packedmask26.v); out[4].v = _mm_and_si128(out[4].v, packedmask26.v); out[1].v = _mm_add_epi64(out[1].v, c1); out[5].v = _mm_add_epi64(out[5].v, c2); c1 = _mm_srli_epi64(out[1].v, 25); c2 = _mm_srli_epi64(out[5].v, 25); out[1].v = _mm_and_si128(out[1].v, packedmask25.v); out[5].v = _mm_and_si128(out[5].v, packedmask25.v); out[2].v = _mm_add_epi64(out[2].v, c1); out[6].v = _mm_add_epi64(out[6].v, c2); c1 = _mm_srli_epi64(out[2].v, 26); c2 = _mm_srli_epi64(out[6].v, 26); out[2].v = _mm_and_si128(out[2].v, packedmask26.v); out[6].v = _mm_and_si128(out[6].v, packedmask26.v); out[3].v = _mm_add_epi64(out[3].v, c1); out[7].v = _mm_add_epi64(out[7].v, c2); c1 = _mm_srli_epi64(out[3].v, 25); c2 = _mm_srli_epi64(out[7].v, 25); out[3].v = _mm_and_si128(out[3].v, packedmask25.v); out[7].v = _mm_and_si128(out[7].v, packedmask25.v); out[4].v = _mm_add_epi64(out[4].v, c1); out[8].v = _mm_add_epi64(out[8].v, c2); c2 = _mm_srli_epi64(out[8].v, 26); out[8].v = _mm_and_si128(out[8].v, packedmask26.v); out[9].v = _mm_add_epi64(out[9].v, c2); c2 = _mm_srli_epi64(out[9].v, 25); out[9].v = _mm_and_si128(out[9].v, packedmask25.v); out[0].v = _mm_add_epi64(out[0].v, _mm_mul_epu32(c2, packednineteen.v)); c1 = _mm_srli_epi64(out[0].v, 26); c2 = _mm_srli_epi64(out[4].v, 26); out[0].v = _mm_and_si128(out[0].v, packedmask26.v); out[4].v = _mm_and_si128(out[4].v, packedmask26.v); out[1].v = _mm_add_epi64(out[1].v, c1); out[5].v = _mm_add_epi64(out[5].v, c2); } DONNA_INLINE static void curve25519_square_packed64(packedelem64 *out, const packedelem64 *r) { xmmi r0,r1,r2,r3; xmmi r1_2,r3_2,r4_2,r5_2,r6_2,r7_2; xmmi d5,d6,d7,d8,d9; xmmi c1,c2; r0 = r[0].v; r1 = r[1].v; r2 = r[2].v; r3 = r[3].v; out[0].v = _mm_mul_epu32(r0, r0); r0 = _mm_slli_epi32(r0, 1); out[1].v = _mm_mul_epu32(r0, r1); r1_2 = _mm_slli_epi32(r1, 1); out[2].v = _mm_add_epi64(_mm_mul_epu32(r0, r2 ), _mm_mul_epu32(r1, r1_2)); r1 = r1_2; out[3].v = _mm_add_epi64(_mm_mul_epu32(r0, r3 ), _mm_mul_epu32(r1, r2 )); r3_2 = _mm_slli_epi32(r3, 1); out[4].v = _mm_add_epi64(_mm_mul_epu32(r0, r[4].v), _mm_add_epi64(_mm_mul_epu32(r1, r3_2 ), _mm_mul_epu32(r2, r2))); r2 = _mm_slli_epi32(r2, 1); out[5].v = _mm_add_epi64(_mm_mul_epu32(r0, r[5].v), _mm_add_epi64(_mm_mul_epu32(r1, r[4].v), _mm_mul_epu32(r2, r3))); r5_2 = _mm_slli_epi32(r[5].v, 1); out[6].v = _mm_add_epi64(_mm_mul_epu32(r0, r[6].v), _mm_add_epi64(_mm_mul_epu32(r1, r5_2 ), _mm_add_epi64(_mm_mul_epu32(r2, r[4].v), _mm_mul_epu32(r3, r3_2 )))); r3 = r3_2; out[7].v = _mm_add_epi64(_mm_mul_epu32(r0, r[7].v), _mm_add_epi64(_mm_mul_epu32(r1, r[6].v), _mm_add_epi64(_mm_mul_epu32(r2, r[5].v), _mm_mul_epu32(r3, r[4].v)))); r7_2 = _mm_slli_epi32(r[7].v, 1); out[8].v = _mm_add_epi64(_mm_mul_epu32(r0, r[8].v), _mm_add_epi64(_mm_mul_epu32(r1, r7_2 ), _mm_add_epi64(_mm_mul_epu32(r2, r[6].v), _mm_add_epi64(_mm_mul_epu32(r3, r5_2 ), _mm_mul_epu32(r[4].v, r[4].v))))); out[9].v = _mm_add_epi64(_mm_mul_epu32(r0, r[9].v), _mm_add_epi64(_mm_mul_epu32(r1, r[8].v), _mm_add_epi64(_mm_mul_epu32(r2, r[7].v), _mm_add_epi64(_mm_mul_epu32(r3, r[6].v), _mm_mul_epu32(r[4].v, r5_2 ))))); d5 = _mm_mul_epu32(r[5].v, packedthirtyeight.v); d6 = _mm_mul_epu32(r[6].v, packednineteen.v); d7 = _mm_mul_epu32(r[7].v, packedthirtyeight.v); d8 = _mm_mul_epu32(r[8].v, packednineteen.v); d9 = _mm_mul_epu32(r[9].v, packedthirtyeight.v); r4_2 = _mm_slli_epi32(r[4].v, 1); r6_2 = _mm_slli_epi32(r[6].v, 1); out[0].v = _mm_add_epi64(out[0].v, _mm_add_epi64(_mm_mul_epu32(d9, r1 ), _mm_add_epi64(_mm_mul_epu32(d8, r2 ), _mm_add_epi64(_mm_mul_epu32(d7, r3 ), _mm_add_epi64(_mm_mul_epu32(d6, r4_2), _mm_mul_epu32(d5, r[5].v)))))); out[1].v = _mm_add_epi64(out[1].v, _mm_add_epi64(_mm_mul_epu32(d9, _mm_srli_epi32(r2, 1)), _mm_add_epi64(_mm_mul_epu32(d8, r3 ), _mm_add_epi64(_mm_mul_epu32(d7, r[4].v), _mm_mul_epu32(d6, r5_2 ))))); out[2].v = _mm_add_epi64(out[2].v, _mm_add_epi64(_mm_mul_epu32(d9, r3 ), _mm_add_epi64(_mm_mul_epu32(d8, r4_2), _mm_add_epi64(_mm_mul_epu32(d7, r5_2 ), _mm_mul_epu32(d6, r[6].v))))); out[3].v = _mm_add_epi64(out[3].v, _mm_add_epi64(_mm_mul_epu32(d9, r[4].v ), _mm_add_epi64(_mm_mul_epu32(d8, r5_2), _mm_mul_epu32(d7, r[6].v)))); out[4].v = _mm_add_epi64(out[4].v, _mm_add_epi64(_mm_mul_epu32(d9, r5_2 ), _mm_add_epi64(_mm_mul_epu32(d8, r6_2), _mm_mul_epu32(d7, r[7].v)))); out[5].v = _mm_add_epi64(out[5].v, _mm_add_epi64(_mm_mul_epu32(d9, r[6].v ), _mm_mul_epu32(d8, r7_2 ))); out[6].v = _mm_add_epi64(out[6].v, _mm_add_epi64(_mm_mul_epu32(d9, r7_2 ), _mm_mul_epu32(d8, r[8].v))); out[7].v = _mm_add_epi64(out[7].v, _mm_mul_epu32(d9, r[8].v)); out[8].v = _mm_add_epi64(out[8].v, _mm_mul_epu32(d9, r[9].v)); c1 = _mm_srli_epi64(out[0].v, 26); c2 = _mm_srli_epi64(out[4].v, 26); out[0].v = _mm_and_si128(out[0].v, packedmask26.v); out[4].v = _mm_and_si128(out[4].v, packedmask26.v); out[1].v = _mm_add_epi64(out[1].v, c1); out[5].v = _mm_add_epi64(out[5].v, c2); c1 = _mm_srli_epi64(out[1].v, 25); c2 = _mm_srli_epi64(out[5].v, 25); out[1].v = _mm_and_si128(out[1].v, packedmask25.v); out[5].v = _mm_and_si128(out[5].v, packedmask25.v); out[2].v = _mm_add_epi64(out[2].v, c1); out[6].v = _mm_add_epi64(out[6].v, c2); c1 = _mm_srli_epi64(out[2].v, 26); c2 = _mm_srli_epi64(out[6].v, 26); out[2].v = _mm_and_si128(out[2].v, packedmask26.v); out[6].v = _mm_and_si128(out[6].v, packedmask26.v); out[3].v = _mm_add_epi64(out[3].v, c1); out[7].v = _mm_add_epi64(out[7].v, c2); c1 = _mm_srli_epi64(out[3].v, 25); c2 = _mm_srli_epi64(out[7].v, 25); out[3].v = _mm_and_si128(out[3].v, packedmask25.v); out[7].v = _mm_and_si128(out[7].v, packedmask25.v); out[4].v = _mm_add_epi64(out[4].v, c1); out[8].v = _mm_add_epi64(out[8].v, c2); c2 = _mm_srli_epi64(out[8].v, 26); out[8].v = _mm_and_si128(out[8].v, packedmask26.v); out[9].v = _mm_add_epi64(out[9].v, c2); c2 = _mm_srli_epi64(out[9].v, 25); out[9].v = _mm_and_si128(out[9].v, packedmask25.v); out[0].v = _mm_add_epi64(out[0].v, _mm_mul_epu32(c2, packednineteen.v)); c1 = _mm_srli_epi64(out[0].v, 26); c2 = _mm_srli_epi64(out[4].v, 26); out[0].v = _mm_and_si128(out[0].v, packedmask26.v); out[4].v = _mm_and_si128(out[4].v, packedmask26.v); out[1].v = _mm_add_epi64(out[1].v, c1); out[5].v = _mm_add_epi64(out[5].v, c2); } /* Take a little-endian, 32-byte number and expand it into polynomial form */ static void curve25519_expand(bignum25519 out, const unsigned char in[32]) { uint32_t x0,x1,x2,x3,x4,x5,x6,x7; x0 = *(uint32_t *)(in + 0); x1 = *(uint32_t *)(in + 4); x2 = *(uint32_t *)(in + 8); x3 = *(uint32_t *)(in + 12); x4 = *(uint32_t *)(in + 16); x5 = *(uint32_t *)(in + 20); x6 = *(uint32_t *)(in + 24); x7 = *(uint32_t *)(in + 28); out[0] = ( x0 ) & 0x3ffffff; out[1] = ((((uint64_t)x1 << 32) | x0) >> 26) & 0x1ffffff; out[2] = ((((uint64_t)x2 << 32) | x1) >> 19) & 0x3ffffff; out[3] = ((((uint64_t)x3 << 32) | x2) >> 13) & 0x1ffffff; out[4] = (( x3) >> 6) & 0x3ffffff; out[5] = ( x4 ) & 0x1ffffff; out[6] = ((((uint64_t)x5 << 32) | x4) >> 25) & 0x3ffffff; out[7] = ((((uint64_t)x6 << 32) | x5) >> 19) & 0x1ffffff; out[8] = ((((uint64_t)x7 << 32) | x6) >> 12) & 0x3ffffff; out[9] = (( x7) >> 6) & 0x1ffffff; out[10] = 0; out[11] = 0; } /* Take a fully reduced polynomial form number and contract it into a * little-endian, 32-byte array */ static void curve25519_contract(unsigned char out[32], const bignum25519 in) { bignum25519 ALIGN(16) f; curve25519_copy(f, in); #define carry_pass() \ f[1] += f[0] >> 26; f[0] &= 0x3ffffff; \ f[2] += f[1] >> 25; f[1] &= 0x1ffffff; \ f[3] += f[2] >> 26; f[2] &= 0x3ffffff; \ f[4] += f[3] >> 25; f[3] &= 0x1ffffff; \ f[5] += f[4] >> 26; f[4] &= 0x3ffffff; \ f[6] += f[5] >> 25; f[5] &= 0x1ffffff; \ f[7] += f[6] >> 26; f[6] &= 0x3ffffff; \ f[8] += f[7] >> 25; f[7] &= 0x1ffffff; \ f[9] += f[8] >> 26; f[8] &= 0x3ffffff; #define carry_pass_full() \ carry_pass() \ f[0] += 19 * (f[9] >> 25); f[9] &= 0x1ffffff; #define carry_pass_final() \ carry_pass() \ f[9] &= 0x1ffffff; carry_pass_full() carry_pass_full() /* now t is between 0 and 2^255-1, properly carried. */ /* case 1: between 0 and 2^255-20. case 2: between 2^255-19 and 2^255-1. */ f[0] += 19; carry_pass_full() /* now between 19 and 2^255-1 in both cases, and offset by 19. */ f[0] += (1 << 26) - 19; f[1] += (1 << 25) - 1; f[2] += (1 << 26) - 1; f[3] += (1 << 25) - 1; f[4] += (1 << 26) - 1; f[5] += (1 << 25) - 1; f[6] += (1 << 26) - 1; f[7] += (1 << 25) - 1; f[8] += (1 << 26) - 1; f[9] += (1 << 25) - 1; /* now between 2^255 and 2^256-20, and offset by 2^255. */ carry_pass_final() #undef carry_pass #undef carry_full #undef carry_final f[1] <<= 2; f[2] <<= 3; f[3] <<= 5; f[4] <<= 6; f[6] <<= 1; f[7] <<= 3; f[8] <<= 4; f[9] <<= 6; #define F(i, s) \ out[s+0] |= (unsigned char )(f[i] & 0xff); \ out[s+1] = (unsigned char )((f[i] >> 8) & 0xff); \ out[s+2] = (unsigned char )((f[i] >> 16) & 0xff); \ out[s+3] = (unsigned char )((f[i] >> 24) & 0xff); out[0] = 0; out[16] = 0; F(0,0); F(1,3); F(2,6); F(3,9); F(4,12); F(5,16); F(6,19); F(7,22); F(8,25); F(9,28); #undef F } /* if (iswap) swap(a, b) */ DONNA_INLINE static void curve25519_swap_conditional(bignum25519 a, bignum25519 b, uint32_t iswap) { const uint32_t swap = (uint32_t)(-(int32_t)iswap); xmmi a0,a1,a2,b0,b1,b2,x0,x1,x2; xmmi mask = _mm_cvtsi32_si128(swap); mask = _mm_shuffle_epi32(mask, 0); a0 = _mm_load_si128((xmmi *)a + 0); a1 = _mm_load_si128((xmmi *)a + 1); b0 = _mm_load_si128((xmmi *)b + 0); b1 = _mm_load_si128((xmmi *)b + 1); b0 = _mm_xor_si128(a0, b0); b1 = _mm_xor_si128(a1, b1); x0 = _mm_and_si128(b0, mask); x1 = _mm_and_si128(b1, mask); x0 = _mm_xor_si128(x0, a0); x1 = _mm_xor_si128(x1, a1); a0 = _mm_xor_si128(x0, b0); a1 = _mm_xor_si128(x1, b1); _mm_store_si128((xmmi *)a + 0, x0); _mm_store_si128((xmmi *)a + 1, x1); _mm_store_si128((xmmi *)b + 0, a0); _mm_store_si128((xmmi *)b + 1, a1); a2 = _mm_load_si128((xmmi *)a + 2); b2 = _mm_load_si128((xmmi *)b + 2); b2 = _mm_xor_si128(a2, b2); x2 = _mm_and_si128(b2, mask); x2 = _mm_xor_si128(x2, a2); a2 = _mm_xor_si128(x2, b2); _mm_store_si128((xmmi *)b + 2, a2); _mm_store_si128((xmmi *)a + 2, x2); } /* out = (flag) ? out : in */ DONNA_INLINE static void curve25519_move_conditional_bytes(uint8_t out[96], const uint8_t in[96], uint32_t flag) { xmmi a0,a1,a2,a3,a4,a5,b0,b1,b2,b3,b4,b5; const uint32_t nb = flag - 1; xmmi masknb = _mm_shuffle_epi32(_mm_cvtsi32_si128(nb),0); a0 = _mm_load_si128((xmmi *)in + 0); a1 = _mm_load_si128((xmmi *)in + 1); a2 = _mm_load_si128((xmmi *)in + 2); b0 = _mm_load_si128((xmmi *)out + 0); b1 = _mm_load_si128((xmmi *)out + 1); b2 = _mm_load_si128((xmmi *)out + 2); a0 = _mm_andnot_si128(masknb, a0); a1 = _mm_andnot_si128(masknb, a1); a2 = _mm_andnot_si128(masknb, a2); b0 = _mm_and_si128(masknb, b0); b1 = _mm_and_si128(masknb, b1); b2 = _mm_and_si128(masknb, b2); a0 = _mm_or_si128(a0, b0); a1 = _mm_or_si128(a1, b1); a2 = _mm_or_si128(a2, b2); _mm_store_si128((xmmi*)out + 0, a0); _mm_store_si128((xmmi*)out + 1, a1); _mm_store_si128((xmmi*)out + 2, a2); a3 = _mm_load_si128((xmmi *)in + 3); a4 = _mm_load_si128((xmmi *)in + 4); a5 = _mm_load_si128((xmmi *)in + 5); b3 = _mm_load_si128((xmmi *)out + 3); b4 = _mm_load_si128((xmmi *)out + 4); b5 = _mm_load_si128((xmmi *)out + 5); a3 = _mm_andnot_si128(masknb, a3); a4 = _mm_andnot_si128(masknb, a4); a5 = _mm_andnot_si128(masknb, a5); b3 = _mm_and_si128(masknb, b3); b4 = _mm_and_si128(masknb, b4); b5 = _mm_and_si128(masknb, b5); a3 = _mm_or_si128(a3, b3); a4 = _mm_or_si128(a4, b4); a5 = _mm_or_si128(a5, b5); _mm_store_si128((xmmi*)out + 3, a3); _mm_store_si128((xmmi*)out + 4, a4); _mm_store_si128((xmmi*)out + 5, a5); }