368 lines
18 KiB
C
368 lines
18 KiB
C
#include "sn_target.h"
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#if SN_IS_ARCH(SN_ARCH_X86_64)
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#include "sn_intrinsic.h"
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#include "sn_intrinsic.context.x86.h"
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#include "sn_intrinsic.std.h"
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#define _FMA_SELECT(i) _MM_SHUFFLE(i, i, i, i)
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// float
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SN_SK_PROC_DECL_STD(float, sse, , fma)
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{
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const __m128 a0 = _mm_load_ps((float *)&left->f32_x[0]);
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const __m128 a1 = _mm_load_ps((float *)&left->f32_x[1]);
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const __m128 a2 = _mm_load_ps((float *)&left->f32_x[2]);
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const __m128 a3 = _mm_load_ps((float *)&left->f32_x[3]);
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__m128 c0 = _mm_load_ps((float *)&ans->f32_x[0]);
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__m128 c1 = _mm_load_ps((float *)&ans->f32_x[1]);
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__m128 c2 = _mm_load_ps((float *)&ans->f32_x[2]);
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__m128 c3 = _mm_load_ps((float *)&ans->f32_x[3]);
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__m128 bcol;
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/* Column 0 */
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bcol = _mm_load_ps((float *)&right->f32_x[0]);
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c0 = _mm_add_ps(c0, _mm_mul_ps(a0, _mm_shuffle_ps(bcol, bcol, _FMA_SELECT(0))));
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c0 = _mm_add_ps(c0, _mm_mul_ps(a1, _mm_shuffle_ps(bcol, bcol, _FMA_SELECT(1))));
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c0 = _mm_add_ps(c0, _mm_mul_ps(a2, _mm_shuffle_ps(bcol, bcol, _FMA_SELECT(2))));
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c0 = _mm_add_ps(c0, _mm_mul_ps(a3, _mm_shuffle_ps(bcol, bcol, _FMA_SELECT(3))));
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/* Column 1 */
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bcol = _mm_load_ps((float *)&right->f32_x[1]);
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c1 = _mm_add_ps(c1, _mm_mul_ps(a0, _mm_shuffle_ps(bcol, bcol, _FMA_SELECT(0))));
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c1 = _mm_add_ps(c1, _mm_mul_ps(a1, _mm_shuffle_ps(bcol, bcol, _FMA_SELECT(1))));
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c1 = _mm_add_ps(c1, _mm_mul_ps(a2, _mm_shuffle_ps(bcol, bcol, _FMA_SELECT(2))));
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c1 = _mm_add_ps(c1, _mm_mul_ps(a3, _mm_shuffle_ps(bcol, bcol, _FMA_SELECT(3))));
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/* Column 2 */
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bcol = _mm_load_ps((float *)&right->f32_x[2]);
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c2 = _mm_add_ps(c2, _mm_mul_ps(a0, _mm_shuffle_ps(bcol, bcol, _FMA_SELECT(0))));
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c2 = _mm_add_ps(c2, _mm_mul_ps(a1, _mm_shuffle_ps(bcol, bcol, _FMA_SELECT(1))));
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c2 = _mm_add_ps(c2, _mm_mul_ps(a2, _mm_shuffle_ps(bcol, bcol, _FMA_SELECT(2))));
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c2 = _mm_add_ps(c2, _mm_mul_ps(a3, _mm_shuffle_ps(bcol, bcol, _FMA_SELECT(3))));
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/* Column 3 */
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bcol = _mm_load_ps((float *)&right->f32_x[3]);
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c3 = _mm_add_ps(c3, _mm_mul_ps(a0, _mm_shuffle_ps(bcol, bcol, _FMA_SELECT(0))));
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c3 = _mm_add_ps(c3, _mm_mul_ps(a1, _mm_shuffle_ps(bcol, bcol, _FMA_SELECT(1))));
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c3 = _mm_add_ps(c3, _mm_mul_ps(a2, _mm_shuffle_ps(bcol, bcol, _FMA_SELECT(2))));
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c3 = _mm_add_ps(c3, _mm_mul_ps(a3, _mm_shuffle_ps(bcol, bcol, _FMA_SELECT(3))));
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_mm_store_ps((float *)&ans->f32_x[0], c0);
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_mm_store_ps((float *)&ans->f32_x[1], c1);
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_mm_store_ps((float *)&ans->f32_x[2], c2);
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_mm_store_ps((float *)&ans->f32_x[3], c3);
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}
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SN_SK_PROC_DECL_STD(float, avx, , fma)
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{
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static const __m256i b01_shift = { .m256i_i32 = { 0, 1, 2, 3, 5, 6, 7, 4 } };
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static const __m256i b23_shift = { .m256i_i32 = { 2, 3, 0, 1, 7, 4, 5, 6 } };
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register __m256 a01 = _mm256_load_ps((float *)&left->f32_y[0]);
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register __m256 a23 = _mm256_load_ps((float *)&left->f32_y[1]);
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register __m256 b01 = _mm256_load_ps((float *)&right->f32_y[0]);
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register __m256 b23 = _mm256_load_ps((float *)&right->f32_y[1]);
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b01 = _mm256_permutevar_ps(b01, b01_shift);
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b23 = _mm256_permutevar_ps(b23, b23_shift);
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register __m256 c01 = _mm256_load_ps((float *)&ans->f32_y[0]);
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register __m256 c23 = _mm256_load_ps((float *)&ans->f32_y[1]);
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//group 0
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register __m256 b01_perm = _mm256_shuffle_ps(b01, b01, _FMA_SELECT(0));
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register __m256 b23_perm = _mm256_shuffle_ps(b23, b23, _FMA_SELECT(0));
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c01 = _mm256_add_ps(_mm256_mul_ps(a01, b01_perm), c01);
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c23 = _mm256_add_ps(_mm256_mul_ps(a23, b23_perm), c23);
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//group 2
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b01_perm = _mm256_shuffle_ps(b01, b01, _FMA_SELECT(2));
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b23_perm = _mm256_shuffle_ps(b23, b23, _FMA_SELECT(2));
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c01 = _mm256_add_ps(_mm256_mul_ps(a23, b01_perm), c01);
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c23 = _mm256_add_ps(_mm256_mul_ps(a01, b23_perm), c23);
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//group 1
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register __m256 a12 = _mm256_permute2f128_ps(a01, a23, 0x21);
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register __m256 a30 = _mm256_permute2f128_ps(a01, a23, 0x30);
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b01_perm = _mm256_shuffle_ps(b01, b01, _FMA_SELECT(1));
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b23_perm = _mm256_shuffle_ps(b23, b23, _FMA_SELECT(1));
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c01 = _mm256_add_ps(_mm256_mul_ps(a12, b01_perm), c01);
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c23 = _mm256_add_ps(_mm256_mul_ps(a30, b23_perm), c23);
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//group 3
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b01_perm = _mm256_shuffle_ps(b01, b01, _FMA_SELECT(3));
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b23_perm = _mm256_shuffle_ps(b23, b23, _FMA_SELECT(3));
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c01 = _mm256_add_ps(_mm256_mul_ps(a30, b01_perm), c01);
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c23 = _mm256_add_ps(_mm256_mul_ps(a12, b23_perm), c23);
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ans->f32_y[0] = c01;
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ans->f32_y[1] = c23;
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}
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SN_SK_PROC_DECL_STD(float, avx, _fma, fma)
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{
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static const __m256i b01_shift = { .m256i_i32 = { 0, 1, 2, 3, 5, 6, 7, 4 } };
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static const __m256i b23_shift = { .m256i_i32 = { 2, 3, 0, 1, 7, 4, 5, 6 } };
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register __m256 a01 = _mm256_load_ps((float *)&left->f32_y[0]);
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register __m256 a23 = _mm256_load_ps((float *)&left->f32_y[1]);
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register __m256 b01 = _mm256_load_ps((float *)&right->f32_y[0]);
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register __m256 b23 = _mm256_load_ps((float *)&right->f32_y[1]);
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b01 = _mm256_permutevar_ps(b01, b01_shift);
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b23 = _mm256_permutevar_ps(b23, b23_shift);
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register __m256 c01 = _mm256_load_ps((float *)&ans->f32_y[0]);
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register __m256 c23 = _mm256_load_ps((float *)&ans->f32_y[1]);
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//group 0
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register __m256 b01_perm = _mm256_shuffle_ps(b01, b01, _FMA_SELECT(0));
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register __m256 b23_perm = _mm256_shuffle_ps(b23, b23, _FMA_SELECT(0));
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c01 = _mm256_fmadd_ps(a01, b01_perm, c01);
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c23 = _mm256_fmadd_ps(a23, b23_perm, c23);
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//group 2
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b01_perm = _mm256_shuffle_ps(b01, b01, _FMA_SELECT(2));
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b23_perm = _mm256_shuffle_ps(b23, b23, _FMA_SELECT(2));
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c01 = _mm256_fmadd_ps(a23, b01_perm, c01);
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c23 = _mm256_fmadd_ps(a01, b23_perm, c23);
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//group 1
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register __m256 a12 = _mm256_permute2f128_ps(a01, a23, 0x21);
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register __m256 a30 = _mm256_permute2f128_ps(a01, a23, 0x30);
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b01_perm = _mm256_shuffle_ps(b01, b01, _FMA_SELECT(1));
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b23_perm = _mm256_shuffle_ps(b23, b23, _FMA_SELECT(1));
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c01 = _mm256_fmadd_ps(a12, b01_perm, c01);
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c23 = _mm256_fmadd_ps(a30, b23_perm, c23);
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//group 3
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b01_perm = _mm256_shuffle_ps(b01, b01, _FMA_SELECT(3));
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b23_perm = _mm256_shuffle_ps(b23, b23, _FMA_SELECT(3));
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c01 = _mm256_fmadd_ps(a30, b01_perm, c01);
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c23 = _mm256_fmadd_ps(a12, b23_perm, c23);
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ans->f32_y[0] = c01;
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ans->f32_y[1] = c23;
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}
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SN_SK_PROC_DECL_STD(float, 512, , fma)
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{
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static const __m512i b_shift = { .m512i_i32 = {
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// shuff order
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0, 1, 2, 3, // col0
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5, 6, 7, 4, //col1
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10, 11, 8, 9, //col2
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15, 12, 13, 14 //col3
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} };
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register __m512 a = _mm512_load_ps((float *)left);
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register __m512 b = _mm512_load_ps((float *)right);
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register __m512 c = _mm512_load_ps((float *)ans);
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b = _mm512_permutexvar_ps(b_shift, b);
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register __m512 a_perm0 = _mm512_shuffle_f32x4(a, a, _MM_SHUFFLE(3, 2, 1, 0));
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register __m512 b_perm0 = _mm512_permute_ps(b, _FMA_SELECT(0));
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c = _mm512_fmadd_ps(a_perm0, b_perm0, c);
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register __m512 a_perm1 = _mm512_shuffle_f32x4(a, a, _MM_SHUFFLE(2, 1, 0, 3));
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register __m512 b_perm1 = _mm512_permute_ps(b, _FMA_SELECT(1));
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c = _mm512_fmadd_ps(a_perm1, b_perm1, c);
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register __m512 a_perm2 = _mm512_shuffle_f32x4(a, a, _MM_SHUFFLE(1, 0, 3, 2));
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register __m512 b_perm2 = _mm512_permute_ps(b, _FMA_SELECT(2));
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c = _mm512_fmadd_ps(a_perm2, b_perm2, c);
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register __m512 a_perm3 = _mm512_shuffle_f32x4(a, a, _MM_SHUFFLE(0, 3, 2, 1));
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register __m512 b_perm3 = _mm512_permute_ps(b, _FMA_SELECT(3));
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c = _mm512_fmadd_ps(a_perm3, b_perm3, c);
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_mm512_store_ps((float *)ans, c);
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}
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// double
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SN_SK_PROC_DECL_STD(double, sse, , fma)
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{
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for (int col = 0; col < 4; ++col) {
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/* current answer column (two chunks: rows 0-1 and 2-3) */
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register __m128d c_lo = _mm_load_pd(ans->f64_x + (col * 2 + 0));
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register __m128d c_hi = _mm_load_pd(ans->f64_x + (col * 2 + 1));
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/* right matrix column split into two chunks */
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register __m128d b_lo = _mm_load_pd(right + (2 * col + 0));
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register __m128d b_hi = _mm_load_pd(right + (2 * col + 1));
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/* k = 0 */
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register __m128d a_lo = _mm_load_pd(left + (0 * 2 + 0));
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register __m128d a_hi = _mm_load_pd(left + (0 * 2 + 1));
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register __m128d b = _mm_shuffle_pd(b_lo, b_lo, 0x0);
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c_lo = _mm_add_pd(c_lo, _mm_mul_pd(a_lo, b));
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c_hi = _mm_add_pd(c_hi, _mm_mul_pd(a_hi, b));
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/* k = 1 */
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a_lo = _mm_load_pd(left + (1 * 2 + 0));
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a_hi = _mm_load_pd(left + (1 * 2 + 1));
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b = _mm_shuffle_pd(b_lo, b_lo, 0x3);
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c_lo = _mm_add_pd(c_lo, _mm_mul_pd(a_lo, b));
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c_hi = _mm_add_pd(c_hi, _mm_mul_pd(a_hi, b));
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/* k = 2 */
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a_lo = _mm_load_pd(left + (1 * 2 + 0));
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a_hi = _mm_load_pd(left + (1 * 2 + 1));
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b = _mm_shuffle_pd(b_hi, b_hi, 0x0);
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c_lo = _mm_add_pd(c_lo, _mm_mul_pd(a_lo, b));
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c_hi = _mm_add_pd(c_hi, _mm_mul_pd(a_hi, b));
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/* k = 3 */
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a_lo = _mm_load_pd(left + (1 * 2 + 0));
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a_hi = _mm_load_pd(left + (1 * 2 + 1));
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b = _mm_shuffle_pd(b_hi, b_hi, 0x3);
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c_lo = _mm_add_pd(c_lo, _mm_mul_pd(a_lo, b));
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c_hi = _mm_add_pd(c_hi, _mm_mul_pd(a_hi, b));
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ans->f64_x[col * 2 + 0] = c_lo;
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ans->f64_x[col * 2 + 1] = c_hi;
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}
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}
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SN_SK_PROC_DECL_STD(double, avx, , fma)
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{
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const __m256d a0 = _mm256_load_pd((double *)&left->f64_y[0]);
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const __m256d a1 = _mm256_load_pd((double *)&left->f64_y[1]);
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const __m256d a2 = _mm256_load_pd((double *)&left->f64_y[2]);
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const __m256d a3 = _mm256_load_pd((double *)&left->f64_y[3]);
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__m256d b0 = _mm256_load_pd((double *)&right->f64_y[0]);
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__m256d b1 = _mm256_load_pd((double *)&right->f64_y[1]);
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__m256d b2 = _mm256_load_pd((double *)&right->f64_y[2]);
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__m256d b3 = _mm256_load_pd((double *)&right->f64_y[3]);
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register __m256d ccol;
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/* Column 0 */
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ccol = _mm256_load_pd((double *)&ans->f64_y[0]);
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ccol = _mm256_add_pd(ccol, _mm256_mul_pd(a0, _mm256_permute4x64_pd(b0, _FMA_SELECT(0))));
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ccol = _mm256_add_pd(ccol, _mm256_mul_pd(a1, _mm256_permute4x64_pd(b0, _FMA_SELECT(1))));
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ccol = _mm256_add_pd(ccol, _mm256_mul_pd(a2, _mm256_permute4x64_pd(b0, _FMA_SELECT(2))));
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ccol = _mm256_add_pd(ccol, _mm256_mul_pd(a3, _mm256_permute4x64_pd(b0, _FMA_SELECT(3))));
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_mm256_store_pd((double *)&ans->f64_y[0], ccol);
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/* Column 1 */
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ccol = _mm256_load_pd((double *)&ans->f64_y[1]);
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ccol = _mm256_add_pd(ccol, _mm256_mul_pd(a0, _mm256_permute4x64_pd(b1, _FMA_SELECT(0))));
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ccol = _mm256_add_pd(ccol, _mm256_mul_pd(a1, _mm256_permute4x64_pd(b1, _FMA_SELECT(1))));
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ccol = _mm256_add_pd(ccol, _mm256_mul_pd(a2, _mm256_permute4x64_pd(b1, _FMA_SELECT(2))));
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ccol = _mm256_add_pd(ccol, _mm256_mul_pd(a3, _mm256_permute4x64_pd(b1, _FMA_SELECT(3))));
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_mm256_store_pd((double *)&ans->f64_y[1], ccol);
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/* Column 2 */
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ccol = _mm256_load_pd((double *)&ans->f64_y[2]);
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ccol = _mm256_add_pd(ccol, _mm256_mul_pd(a0, _mm256_permute4x64_pd(b2, _FMA_SELECT(0))));
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ccol = _mm256_add_pd(ccol, _mm256_mul_pd(a1, _mm256_permute4x64_pd(b2, _FMA_SELECT(1))));
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ccol = _mm256_add_pd(ccol, _mm256_mul_pd(a2, _mm256_permute4x64_pd(b2, _FMA_SELECT(2))));
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ccol = _mm256_add_pd(ccol, _mm256_mul_pd(a3, _mm256_permute4x64_pd(b2, _FMA_SELECT(3))));
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_mm256_store_pd((double *)&ans->f64_y[2], ccol);
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/* Column 3 */
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ccol = _mm256_load_pd((double *)&ans->f64_y[3]);
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ccol = _mm256_add_pd(ccol, _mm256_mul_pd(a0, _mm256_permute4x64_pd(b3, _FMA_SELECT(0))));
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ccol = _mm256_add_pd(ccol, _mm256_mul_pd(a1, _mm256_permute4x64_pd(b3, _FMA_SELECT(1))));
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ccol = _mm256_add_pd(ccol, _mm256_mul_pd(a2, _mm256_permute4x64_pd(b3, _FMA_SELECT(2))));
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ccol = _mm256_add_pd(ccol, _mm256_mul_pd(a3, _mm256_permute4x64_pd(b3, _FMA_SELECT(3))));
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_mm256_store_pd((double *)&ans->f64_y[3], ccol);
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}
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SN_SK_PROC_DECL_STD(double, avx, _fma, fma)
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{
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const __m256d a0 = _mm256_load_pd((double *)&left->f64_y[0]);
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const __m256d a1 = _mm256_load_pd((double *)&left->f64_y[1]);
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const __m256d a2 = _mm256_load_pd((double *)&left->f64_y[2]);
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const __m256d a3 = _mm256_load_pd((double *)&left->f64_y[3]);
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__m256d b0 = _mm256_load_pd((double *)&right->f64_y[0]);
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__m256d b1 = _mm256_load_pd((double *)&right->f64_y[1]);
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__m256d b2 = _mm256_load_pd((double *)&right->f64_y[2]);
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__m256d b3 = _mm256_load_pd((double *)&right->f64_y[3]);
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register __m256d ccol;
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/* Column 0 */
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ccol = _mm256_load_pd((double *)&ans->f64_y[0]);
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ccol = _mm256_fmadd_pd(a0, _mm256_permute4x64_pd(b0, _FMA_SELECT(0)), ccol);
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ccol = _mm256_fmadd_pd(a1, _mm256_permute4x64_pd(b0, _FMA_SELECT(1)), ccol);
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ccol = _mm256_fmadd_pd(a2, _mm256_permute4x64_pd(b0, _FMA_SELECT(2)), ccol);
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ccol = _mm256_fmadd_pd(a3, _mm256_permute4x64_pd(b0, _FMA_SELECT(3)), ccol);
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_mm256_store_pd((double *)&ans->f64_y[0], ccol);
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/* Column 1 */
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ccol = _mm256_load_pd((double *)&ans->f64_y[1]);
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ccol = _mm256_fmadd_pd(a0, _mm256_permute4x64_pd(b1, _FMA_SELECT(0)), ccol);
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ccol = _mm256_fmadd_pd(a1, _mm256_permute4x64_pd(b1, _FMA_SELECT(1)), ccol);
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ccol = _mm256_fmadd_pd(a2, _mm256_permute4x64_pd(b1, _FMA_SELECT(2)), ccol);
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ccol = _mm256_fmadd_pd(a3, _mm256_permute4x64_pd(b1, _FMA_SELECT(3)), ccol);
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_mm256_store_pd((double *)&ans->f64_y[1], ccol);
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/* Column 2 */
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ccol = _mm256_load_pd((double *)&ans->f64_y[2]);
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ccol = _mm256_fmadd_pd(a0, _mm256_permute4x64_pd(b2, _FMA_SELECT(0)), ccol);
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ccol = _mm256_fmadd_pd(a1, _mm256_permute4x64_pd(b2, _FMA_SELECT(1)), ccol);
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ccol = _mm256_fmadd_pd(a2, _mm256_permute4x64_pd(b2, _FMA_SELECT(2)), ccol);
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ccol = _mm256_fmadd_pd(a3, _mm256_permute4x64_pd(b2, _FMA_SELECT(3)), ccol);
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_mm256_store_pd((double *)&ans->f64_y[2], ccol);
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/* Column 3 */
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ccol = _mm256_load_pd((double *)&ans->f64_y[3]);
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ccol = _mm256_fmadd_pd(a0, _mm256_permute4x64_pd(b3, _FMA_SELECT(0)), ccol);
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ccol = _mm256_fmadd_pd(a1, _mm256_permute4x64_pd(b3, _FMA_SELECT(1)), ccol);
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ccol = _mm256_fmadd_pd(a2, _mm256_permute4x64_pd(b3, _FMA_SELECT(2)), ccol);
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ccol = _mm256_fmadd_pd(a3, _mm256_permute4x64_pd(b3, _FMA_SELECT(3)), ccol);
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_mm256_store_pd((double *)&ans->f64_y[3], ccol);
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}
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SN_SK_PROC_DECL_STD(double, 512, , fma)
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{
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static const __m512i b01_shift = { .m512i_i64 = { 0, 1, 2, 3, 5, 6, 7, 4 } };
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static const __m512i b23_shift = { .m512i_i64 = { 2, 3, 0, 1, 7, 4, 5, 6 } };
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register __m512d a01 = _mm512_load_pd((double *)&left->f64_z[0]);
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register __m512d a23 = _mm512_load_pd((double *)&left->f64_z[1]);
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register __m512d b01 = _mm512_load_pd((double *)&right->f64_z[0]);
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register __m512d b23 = _mm512_load_pd((double *)&right->f64_z[1]);
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b01 = _mm512_permutexvar_pd(b01_shift, b01);
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b23 = _mm512_permutexvar_pd(b23_shift, b23);
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register __m512d c01 = _mm512_load_pd((float *)&ans->f64_z[0]);
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register __m512d c23 = _mm512_load_pd((float *)&ans->f64_z[1]);
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//group 0
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register __m512d b01_perm = _mm512_shuffle_pd(b01, b01, _FMA_SELECT(0));
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register __m512d b23_perm = _mm512_shuffle_pd(b23, b23, _FMA_SELECT(0));
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c01 = _mm512_fmadd_pd(a01, b01_perm, c01);
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c23 = _mm512_fmadd_pd(a23, b23_perm, c23);
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//group 2
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b01_perm = _mm512_shuffle_pd(b01, b01, _FMA_SELECT(2));
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b23_perm = _mm512_shuffle_pd(b23, b23, _FMA_SELECT(2));
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c01 = _mm512_fmadd_pd(a23, b01_perm, c01);
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c23 = _mm512_fmadd_pd(a01, b23_perm, c23);
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//group 1
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register __m512d a12 = _mm512_shuffle_f64x2(a01, a23, _MM_SHUFFLE(1, 0, 3, 2));
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register __m512d a30 = _mm512_shuffle_f64x2(a23, a01, _MM_SHUFFLE(1, 0, 3, 2));
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b01_perm = _mm512_shuffle_pd(b01, b01, _FMA_SELECT(1));
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b23_perm = _mm512_shuffle_pd(b23, b23, _FMA_SELECT(1));
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c01 = _mm512_fmadd_pd(a12, b01_perm, c01);
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c23 = _mm512_fmadd_pd(a30, b23_perm, c23);
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//group 3
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b01_perm = _mm512_shuffle_pd(b01, b01, _FMA_SELECT(3));
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b23_perm = _mm512_shuffle_pd(b23, b23, _FMA_SELECT(3));
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c01 = _mm512_fmadd_pd(a30, b01_perm, c01);
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c23 = _mm512_fmadd_pd(a12, b23_perm, c23);
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_mm512_store_pd((double *)&ans->f64_z[0], c01);
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_mm512_store_pd((double *)&ans->f64_z[1], c23);
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}
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#endif
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