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