/* BLIS An object-based framework for developing high-performance BLAS-like libraries. Copyright (C) 2020 - 2022, Advanced Micro Devices, Inc. All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: - Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. - Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. - Neither the name(s) of the copyright holder(s) nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ #include "immintrin.h" #include "blis.h" /* Union data structure to access AVX registers One 256-bit AVX register holds 8 SP elements. */ typedef union { __m256 v; float f[8] __attribute__((aligned(64))); } v8sf_t; /* Union data structure to access AVX registers * One 256-bit AVX register holds 4 DP elements. */ typedef union { __m256d v; __m128d xmm[2]; double d[4] __attribute__((aligned(64))); } v4df_t; typedef union { __m128d v; double d[2] __attribute__((aligned(64))); } v2df_t; void bli_saxpyf_zen_int_5 ( conj_t conja, conj_t conjx, dim_t m, dim_t b_n, const void* alpha0, const void* a0, inc_t inca, inc_t lda, const void* x0, inc_t incx, void* y0, inc_t incy, const cntx_t* cntx ) { const float* restrict alpha = alpha0; const float* restrict a = a0; const float* restrict x = x0; float* restrict y = y0; const dim_t fuse_fac = 5; const dim_t n_elem_per_reg = 8; const dim_t n_iter_unroll = 2; dim_t i; v8sf_t chi0v, chi1v, chi2v, chi3v; v8sf_t chi4v; v8sf_t a00v, a01v, a02v, a03v; v8sf_t a04v; v8sf_t a10v, a11v, a12v, a13v; v8sf_t a14v; v8sf_t y0v, y1v; float chi0, chi1, chi2, chi3; float chi4; // If either dimension is zero, or if alpha is zero, return early. if ( bli_zero_dim2( m, b_n ) || bli_seq0( *alpha ) ) return; // If b_n is not equal to the fusing factor, then perform the entire // operation as a loop over axpyv. if ( b_n != fuse_fac ) { if ( cntx == NULL ) cntx = ( cntx_t* )bli_gks_query_cntx(); axpyv_ker_ft f = bli_cntx_get_ukr_dt( BLIS_FLOAT, BLIS_AXPYV_KER, cntx ); for ( i = 0; i < b_n; ++i ) { const float* restrict ap1 = a + (0 )*inca + (i )*lda; const float* restrict chi1 = x + (i )*incx; float* restrict y1 = y + (0 )*incy; float alpha_chi1; bli_scopycjs( conjx, *chi1, alpha_chi1 ); bli_sscals( *alpha, alpha_chi1 ); f ( conja, m, &alpha_chi1, ap1, inca, y1, incy, cntx ); } return; } // At this point, we know that b_n is exactly equal to the fusing factor. const float* restrict ap0 = a + 0*lda; const float* restrict ap1 = a + 1*lda; const float* restrict ap2 = a + 2*lda; const float* restrict ap3 = a + 3*lda; const float* restrict ap4 = a + 4*lda; float* yp = y; chi0 = *( x + 0*incx ); chi1 = *( x + 1*incx ); chi2 = *( x + 2*incx ); chi3 = *( x + 3*incx ); chi4 = *( x + 4*incx ); // Scale each chi scalar by alpha. bli_sscals( *alpha, chi0 ); bli_sscals( *alpha, chi1 ); bli_sscals( *alpha, chi2 ); bli_sscals( *alpha, chi3 ); bli_sscals( *alpha, chi4 ); // Broadcast the (alpha*chi?) scalars to all elements of vector registers. chi0v.v = _mm256_broadcast_ss( &chi0 ); chi1v.v = _mm256_broadcast_ss( &chi1 ); chi2v.v = _mm256_broadcast_ss( &chi2 ); chi3v.v = _mm256_broadcast_ss( &chi3 ); chi4v.v = _mm256_broadcast_ss( &chi4 ); // If there are vectorized iterations, perform them with vector // instructions. if ( inca == 1 && incy == 1 ) { for ( i = 0; (i + 15) < m; i += 16 ) { // Load the input values. y0v.v = _mm256_loadu_ps( yp + 0*n_elem_per_reg ); y1v.v = _mm256_loadu_ps( yp + 1*n_elem_per_reg ); a00v.v = _mm256_loadu_ps( ap0 + 0*n_elem_per_reg ); a10v.v = _mm256_loadu_ps( ap0 + 1*n_elem_per_reg ); a01v.v = _mm256_loadu_ps( ap1 + 0*n_elem_per_reg ); a11v.v = _mm256_loadu_ps( ap1 + 1*n_elem_per_reg ); a02v.v = _mm256_loadu_ps( ap2 + 0*n_elem_per_reg ); a12v.v = _mm256_loadu_ps( ap2 + 1*n_elem_per_reg ); a03v.v = _mm256_loadu_ps( ap3 + 0*n_elem_per_reg ); a13v.v = _mm256_loadu_ps( ap3 + 1*n_elem_per_reg ); a04v.v = _mm256_loadu_ps( ap4 + 0*n_elem_per_reg ); a14v.v = _mm256_loadu_ps( ap4 + 1*n_elem_per_reg ); // perform : y += alpha * x; y0v.v = _mm256_fmadd_ps( a00v.v, chi0v.v, y0v.v ); y1v.v = _mm256_fmadd_ps( a10v.v, chi0v.v, y1v.v ); y0v.v = _mm256_fmadd_ps( a01v.v, chi1v.v, y0v.v ); y1v.v = _mm256_fmadd_ps( a11v.v, chi1v.v, y1v.v ); y0v.v = _mm256_fmadd_ps( a02v.v, chi2v.v, y0v.v ); y1v.v = _mm256_fmadd_ps( a12v.v, chi2v.v, y1v.v ); y0v.v = _mm256_fmadd_ps( a03v.v, chi3v.v, y0v.v ); y1v.v = _mm256_fmadd_ps( a13v.v, chi3v.v, y1v.v ); y0v.v = _mm256_fmadd_ps( a04v.v, chi4v.v, y0v.v ); y1v.v = _mm256_fmadd_ps( a14v.v, chi4v.v, y1v.v ); // Store the output. _mm256_storeu_ps( (yp + 0*n_elem_per_reg), y0v.v ); _mm256_storeu_ps( (yp + 1*n_elem_per_reg), y1v.v ); yp += n_iter_unroll * n_elem_per_reg; ap0 += n_iter_unroll * n_elem_per_reg; ap1 += n_iter_unroll * n_elem_per_reg; ap2 += n_iter_unroll * n_elem_per_reg; ap3 += n_iter_unroll * n_elem_per_reg; ap4 += n_iter_unroll * n_elem_per_reg; } for( ; (i + 7) < m; i += 8 ) { // Load the input values. y0v.v = _mm256_loadu_ps( yp + 0*n_elem_per_reg ); a00v.v = _mm256_loadu_ps( ap0 + 0*n_elem_per_reg ); a01v.v = _mm256_loadu_ps( ap1 + 0*n_elem_per_reg ); a02v.v = _mm256_loadu_ps( ap2 + 0*n_elem_per_reg ); a03v.v = _mm256_loadu_ps( ap3 + 0*n_elem_per_reg ); a04v.v = _mm256_loadu_ps( ap4 + 0*n_elem_per_reg ); // perform : y += alpha * x; y0v.v = _mm256_fmadd_ps( a00v.v, chi0v.v, y0v.v ); y0v.v = _mm256_fmadd_ps( a01v.v, chi1v.v, y0v.v ); y0v.v = _mm256_fmadd_ps( a02v.v, chi2v.v, y0v.v ); y0v.v = _mm256_fmadd_ps( a03v.v, chi3v.v, y0v.v ); y0v.v = _mm256_fmadd_ps( a04v.v, chi4v.v, y0v.v ); // Store the output. _mm256_storeu_ps( (yp + 0*n_elem_per_reg), y0v.v ); yp += n_elem_per_reg; ap0 += n_elem_per_reg; ap1 += n_elem_per_reg; ap2 += n_elem_per_reg; ap3 += n_elem_per_reg; ap4 += n_elem_per_reg; } // If there are leftover iterations, perform them with scalar code. for ( ; (i + 0) < m ; ++i ) { double y0c = *yp; const float a0c = *ap0; const float a1c = *ap1; const float a2c = *ap2; const float a3c = *ap3; const float a4c = *ap4; y0c += chi0 * a0c; y0c += chi1 * a1c; y0c += chi2 * a2c; y0c += chi3 * a3c; y0c += chi4 * a4c; *yp = y0c; ap0 += 1; ap1 += 1; ap2 += 1; ap3 += 1; ap4 += 1; yp += 1; } } else { for ( i = 0; (i + 0) < m ; ++i ) { double y0c = *yp; const float a0c = *ap0; const float a1c = *ap1; const float a2c = *ap2; const float a3c = *ap3; const float a4c = *ap4; y0c += chi0 * a0c; y0c += chi1 * a1c; y0c += chi2 * a2c; y0c += chi3 * a3c; y0c += chi4 * a4c; *yp = y0c; ap0 += inca; ap1 += inca; ap2 += inca; ap3 += inca; ap4 += inca; yp += incy; } } } // ----------------------------------------------------------------------------- void bli_daxpyf_zen_int_5 ( conj_t conja, conj_t conjx, dim_t m, dim_t b_n, const void* alpha0, const void* a0, inc_t inca, inc_t lda, const void* x0, inc_t incx, void* y0, inc_t incy, const cntx_t* cntx ) { const double* restrict alpha = alpha0; const double* restrict a = a0; const double* restrict x = x0; double* restrict y = y0; const dim_t fuse_fac = 5; const dim_t n_elem_per_reg = 4; const dim_t n_iter_unroll = 2; dim_t i; v4df_t chi0v, chi1v, chi2v, chi3v; v4df_t chi4v; v4df_t a00v, a01v, a02v, a03v; v4df_t a04v; v4df_t a10v, a11v, a12v, a13v; v4df_t a14v; v4df_t y0v, y1v; double chi0, chi1, chi2, chi3; double chi4; // If either dimension is zero, or if alpha is zero, return early. if ( bli_zero_dim2( m, b_n ) || bli_deq0( *alpha ) ) return; // If b_n is not equal to the fusing factor, then perform the entire // operation as a loop over axpyv. if ( b_n != fuse_fac ) { if ( cntx == NULL ) cntx = ( cntx_t* )bli_gks_query_cntx(); axpyv_ker_ft f = bli_cntx_get_ukr_dt( BLIS_DOUBLE, BLIS_AXPYV_KER, cntx ); for ( i = 0; i < b_n; ++i ) { const double* restrict ap1 = a + (0 )*inca + (i )*lda; const double* restrict chi1 = x + (i )*incx; double* restrict y1 = y + (0 )*incy; double alpha_chi1; bli_dcopycjs( conjx, *chi1, alpha_chi1 ); bli_dscals( *alpha, alpha_chi1 ); f ( conja, m, &alpha_chi1, ap1, inca, y1, incy, cntx ); } return; } // At this point, we know that b_n is exactly equal to the fusing factor. const double* restrict ap0 = a + 0*lda; const double* restrict ap1 = a + 1*lda; const double* restrict ap2 = a + 2*lda; const double* restrict ap3 = a + 3*lda; const double* restrict ap4 = a + 4*lda; double* restrict yp = y; chi0 = *( x + 0*incx ); chi1 = *( x + 1*incx ); chi2 = *( x + 2*incx ); chi3 = *( x + 3*incx ); chi4 = *( x + 4*incx ); // Scale each chi scalar by alpha. bli_dscals( *alpha, chi0 ); bli_dscals( *alpha, chi1 ); bli_dscals( *alpha, chi2 ); bli_dscals( *alpha, chi3 ); bli_dscals( *alpha, chi4 ); // Broadcast the (alpha*chi?) scalars to all elements of vector registers. chi0v.v = _mm256_broadcast_sd( &chi0 ); chi1v.v = _mm256_broadcast_sd( &chi1 ); chi2v.v = _mm256_broadcast_sd( &chi2 ); chi3v.v = _mm256_broadcast_sd( &chi3 ); chi4v.v = _mm256_broadcast_sd( &chi4 ); // If there are vectorized iterations, perform them with vector // instructions. if ( inca == 1 && incy == 1 ) { for ( i = 0; (i + 7) < m; i += 8 ) { // Load the input values. y0v.v = _mm256_loadu_pd( yp + 0*n_elem_per_reg ); y1v.v = _mm256_loadu_pd( yp + 1*n_elem_per_reg ); a00v.v = _mm256_loadu_pd( ap0 + 0*n_elem_per_reg ); a10v.v = _mm256_loadu_pd( ap0 + 1*n_elem_per_reg ); a01v.v = _mm256_loadu_pd( ap1 + 0*n_elem_per_reg ); a11v.v = _mm256_loadu_pd( ap1 + 1*n_elem_per_reg ); a02v.v = _mm256_loadu_pd( ap2 + 0*n_elem_per_reg ); a12v.v = _mm256_loadu_pd( ap2 + 1*n_elem_per_reg ); a03v.v = _mm256_loadu_pd( ap3 + 0*n_elem_per_reg ); a13v.v = _mm256_loadu_pd( ap3 + 1*n_elem_per_reg ); a04v.v = _mm256_loadu_pd( ap4 + 0*n_elem_per_reg ); a14v.v = _mm256_loadu_pd( ap4 + 1*n_elem_per_reg ); // perform : y += alpha * x; y0v.v = _mm256_fmadd_pd( a00v.v, chi0v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a10v.v, chi0v.v, y1v.v ); y0v.v = _mm256_fmadd_pd( a01v.v, chi1v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a11v.v, chi1v.v, y1v.v ); y0v.v = _mm256_fmadd_pd( a02v.v, chi2v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a12v.v, chi2v.v, y1v.v ); y0v.v = _mm256_fmadd_pd( a03v.v, chi3v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a13v.v, chi3v.v, y1v.v ); y0v.v = _mm256_fmadd_pd( a04v.v, chi4v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a14v.v, chi4v.v, y1v.v ); // Store the output. _mm256_storeu_pd( (double *)(yp + 0*n_elem_per_reg), y0v.v ); _mm256_storeu_pd( (double *)(yp + 1*n_elem_per_reg), y1v.v ); yp += n_iter_unroll * n_elem_per_reg; ap0 += n_iter_unroll * n_elem_per_reg; ap1 += n_iter_unroll * n_elem_per_reg; ap2 += n_iter_unroll * n_elem_per_reg; ap3 += n_iter_unroll * n_elem_per_reg; ap4 += n_iter_unroll * n_elem_per_reg; } for( ; (i + 3) < m; i += 4 ) { // Load the input values. y0v.v = _mm256_loadu_pd( yp + 0*n_elem_per_reg ); a00v.v = _mm256_loadu_pd( ap0 + 0*n_elem_per_reg ); a01v.v = _mm256_loadu_pd( ap1 + 0*n_elem_per_reg ); a02v.v = _mm256_loadu_pd( ap2 + 0*n_elem_per_reg ); a03v.v = _mm256_loadu_pd( ap3 + 0*n_elem_per_reg ); a04v.v = _mm256_loadu_pd( ap4 + 0*n_elem_per_reg ); // perform : y += alpha * x; y0v.v = _mm256_fmadd_pd( a00v.v, chi0v.v, y0v.v ); y0v.v = _mm256_fmadd_pd( a01v.v, chi1v.v, y0v.v ); y0v.v = _mm256_fmadd_pd( a02v.v, chi2v.v, y0v.v ); y0v.v = _mm256_fmadd_pd( a03v.v, chi3v.v, y0v.v ); y0v.v = _mm256_fmadd_pd( a04v.v, chi4v.v, y0v.v ); // Store the output. _mm256_storeu_pd( (yp + 0*n_elem_per_reg), y0v.v ); yp += n_elem_per_reg; ap0 += n_elem_per_reg; ap1 += n_elem_per_reg; ap2 += n_elem_per_reg; ap3 += n_elem_per_reg; ap4 += n_elem_per_reg; } // If there are leftover iterations, perform them with scalar code. for ( ; (i + 0) < m ; ++i ) { double y0c = *yp; const double a0c = *ap0; const double a1c = *ap1; const double a2c = *ap2; const double a3c = *ap3; const double a4c = *ap4; y0c += chi0 * a0c; y0c += chi1 * a1c; y0c += chi2 * a2c; y0c += chi3 * a3c; y0c += chi4 * a4c; *yp = y0c; ap0 += 1; ap1 += 1; ap2 += 1; ap3 += 1; ap4 += 1; yp += 1; } } else { for ( i = 0; (i + 0) < m ; ++i ) { double y0c = *yp; const double a0c = *ap0; const double a1c = *ap1; const double a2c = *ap2; const double a3c = *ap3; const double a4c = *ap4; y0c += chi0 * a0c; y0c += chi1 * a1c; y0c += chi2 * a2c; y0c += chi3 * a3c; y0c += chi4 * a4c; *yp = y0c; ap0 += inca; ap1 += inca; ap2 += inca; ap3 += inca; ap4 += inca; yp += incy; } } } // ----------------------------------------------------------------------------- void bli_daxpyf_zen_int_16x2 ( conj_t conja, conj_t conjx, dim_t m, dim_t b_n, const void* alpha0, const void* a0, inc_t inca, inc_t lda, const void* x0, inc_t incx, void* y0, inc_t incy, const cntx_t* cntx ) { const double* restrict alpha = alpha0; const double* restrict a = a0; const double* restrict x = x0; double* restrict y = y0; const dim_t fuse_fac = 2; const dim_t n_elem_per_reg = 4; const dim_t n_iter_unroll = 4; dim_t i; v4df_t chi0v, chi1v; v4df_t a00v, a01v; v4df_t a10v, a11v; v4df_t a20v, a21v; v4df_t a30v, a31v; v4df_t y0v, y1v, y2v, y3v; double chi0, chi1; v2df_t a40v, a41v; v2df_t y4v; // If either dimension is zero, or if alpha is zero, return early. if ( bli_zero_dim2( m, b_n ) || bli_deq0( *alpha ) ) return; // If b_n is not equal to the fusing factor, then perform the entire // operation as a loop over axpyv. if ( b_n != fuse_fac ) { if ( cntx == NULL ) cntx = ( cntx_t* )bli_gks_query_cntx(); axpyv_ker_ft f = bli_cntx_get_ukr_dt( BLIS_DOUBLE, BLIS_AXPYV_KER, cntx ); for ( i = 0; i < b_n; ++i ) { const double* restrict ap1 = a + (0 )*inca + (i )*lda; const double* restrict chi1 = x + (i )*incx; double* restrict y1 = y + (0 )*incy; double alpha_chi1; bli_dcopycjs( conjx, *chi1, alpha_chi1 ); bli_dscals( *alpha, alpha_chi1 ); f ( conja, m, &alpha_chi1, ap1, inca, y1, incy, cntx ); } return; } // At this point, we know that b_n is exactly equal to the fusing factor. const double* restrict ap0 = a + 0*lda; const double* restrict ap1 = a + 1*lda; double* restrict yp = y; chi0 = *( x + 0*incx ); chi1 = *( x + 1*incx ); // Scale each chi scalar by alpha. bli_dscals( *alpha, chi0 ); bli_dscals( *alpha, chi1 ); // Broadcast the (alpha*chi?) scalars to all elements of vector registers. chi0v.v = _mm256_broadcast_sd( &chi0 ); chi1v.v = _mm256_broadcast_sd( &chi1 ); // If there are vectorized iterations, perform them with vector // instructions. if ( inca == 1 && incy == 1 ) { for ( i = 0; (i + 15) < m; i += 16 ) { // Load the input values. y0v.v = _mm256_loadu_pd( yp + 0*n_elem_per_reg ); y1v.v = _mm256_loadu_pd( yp + 1*n_elem_per_reg ); y2v.v = _mm256_loadu_pd( yp + 2*n_elem_per_reg ); y3v.v = _mm256_loadu_pd( yp + 3*n_elem_per_reg ); a00v.v = _mm256_loadu_pd( ap0 + 0*n_elem_per_reg ); a10v.v = _mm256_loadu_pd( ap0 + 1*n_elem_per_reg ); a20v.v = _mm256_loadu_pd( ap0 + 2*n_elem_per_reg ); a30v.v = _mm256_loadu_pd( ap0 + 3*n_elem_per_reg ); a01v.v = _mm256_loadu_pd( ap1 + 0*n_elem_per_reg ); a11v.v = _mm256_loadu_pd( ap1 + 1*n_elem_per_reg ); a21v.v = _mm256_loadu_pd( ap1 + 2*n_elem_per_reg ); a31v.v = _mm256_loadu_pd( ap1 + 3*n_elem_per_reg ); // perform : y += alpha * x; y0v.v = _mm256_fmadd_pd( a00v.v, chi0v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a10v.v, chi0v.v, y1v.v ); y2v.v = _mm256_fmadd_pd( a20v.v, chi0v.v, y2v.v ); y3v.v = _mm256_fmadd_pd( a30v.v, chi0v.v, y3v.v ); y0v.v = _mm256_fmadd_pd( a01v.v, chi1v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a11v.v, chi1v.v, y1v.v ); y2v.v = _mm256_fmadd_pd( a21v.v, chi1v.v, y2v.v ); y3v.v = _mm256_fmadd_pd( a31v.v, chi1v.v, y3v.v ); // Store the output. _mm256_storeu_pd( (double *)(yp + 0*n_elem_per_reg), y0v.v ); _mm256_storeu_pd( (double *)(yp + 1*n_elem_per_reg), y1v.v ); _mm256_storeu_pd( (double *)(yp + 2*n_elem_per_reg), y2v.v ); _mm256_storeu_pd( (double *)(yp + 3*n_elem_per_reg), y3v.v ); yp += n_iter_unroll * n_elem_per_reg; ap0 += n_iter_unroll * n_elem_per_reg; ap1 += n_iter_unroll * n_elem_per_reg; } for ( ; (i + 11) < m; i += 12 ) { // Load the input values. y0v.v = _mm256_loadu_pd( yp + 0*n_elem_per_reg ); y1v.v = _mm256_loadu_pd( yp + 1*n_elem_per_reg ); y2v.v = _mm256_loadu_pd( yp + 2*n_elem_per_reg ); a00v.v = _mm256_loadu_pd( ap0 + 0*n_elem_per_reg ); a10v.v = _mm256_loadu_pd( ap0 + 1*n_elem_per_reg ); a20v.v = _mm256_loadu_pd( ap0 + 2*n_elem_per_reg ); a01v.v = _mm256_loadu_pd( ap1 + 0*n_elem_per_reg ); a11v.v = _mm256_loadu_pd( ap1 + 1*n_elem_per_reg ); a21v.v = _mm256_loadu_pd( ap1 + 2*n_elem_per_reg ); // perform : y += alpha * x; y0v.v = _mm256_fmadd_pd( a00v.v, chi0v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a10v.v, chi0v.v, y1v.v ); y2v.v = _mm256_fmadd_pd( a20v.v, chi0v.v, y2v.v ); y0v.v = _mm256_fmadd_pd( a01v.v, chi1v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a11v.v, chi1v.v, y1v.v ); y2v.v = _mm256_fmadd_pd( a21v.v, chi1v.v, y2v.v ); // Store the output. _mm256_storeu_pd( (double *)(yp + 0*n_elem_per_reg), y0v.v ); _mm256_storeu_pd( (double *)(yp + 1*n_elem_per_reg), y1v.v ); _mm256_storeu_pd( (double *)(yp + 2*n_elem_per_reg), y2v.v ); yp += 3 * n_elem_per_reg; ap0 += 3 * n_elem_per_reg; ap1 += 3 * n_elem_per_reg; } for ( ; (i + 7) < m; i += 8 ) { // Load the input values. y0v.v = _mm256_loadu_pd( yp + 0*n_elem_per_reg ); y1v.v = _mm256_loadu_pd( yp + 1*n_elem_per_reg ); a00v.v = _mm256_loadu_pd( ap0 + 0*n_elem_per_reg ); a10v.v = _mm256_loadu_pd( ap0 + 1*n_elem_per_reg ); a01v.v = _mm256_loadu_pd( ap1 + 0*n_elem_per_reg ); a11v.v = _mm256_loadu_pd( ap1 + 1*n_elem_per_reg ); // perform : y += alpha * x; y0v.v = _mm256_fmadd_pd( a00v.v, chi0v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a10v.v, chi0v.v, y1v.v ); y0v.v = _mm256_fmadd_pd( a01v.v, chi1v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a11v.v, chi1v.v, y1v.v ); // Store the output. _mm256_storeu_pd( (double *)(yp + 0*n_elem_per_reg), y0v.v ); _mm256_storeu_pd( (double *)(yp + 1*n_elem_per_reg), y1v.v ); yp += 2 * n_elem_per_reg; ap0 += 2 * n_elem_per_reg; ap1 += 2 * n_elem_per_reg; } for ( ; (i + 3) < m; i += 4 ) { // Load the input values. y0v.v = _mm256_loadu_pd( yp + 0*n_elem_per_reg ); a00v.v = _mm256_loadu_pd( ap0 + 0*n_elem_per_reg ); a01v.v = _mm256_loadu_pd( ap1 + 0*n_elem_per_reg ); // perform : y += alpha * x; y0v.v = _mm256_fmadd_pd( a00v.v, chi0v.v, y0v.v ); y0v.v = _mm256_fmadd_pd( a01v.v, chi1v.v, y0v.v ); // Store the output. _mm256_storeu_pd( (double *)(yp + 0*n_elem_per_reg), y0v.v ); yp += n_elem_per_reg; ap0 += n_elem_per_reg; ap1 += n_elem_per_reg; } for ( ; (i + 1) < m; i += 2 ) { // Load the input values. y4v.v = _mm_loadu_pd( yp + 0*n_elem_per_reg ); a40v.v = _mm_loadu_pd( ap0 + 0*n_elem_per_reg ); a41v.v = _mm_loadu_pd( ap1 + 0*n_elem_per_reg ); // perform : y += alpha * x; y4v.v = _mm_fmadd_pd( a40v.v, chi0v.xmm[0], y4v.v ); y4v.v = _mm_fmadd_pd( a41v.v, chi1v.xmm[0], y4v.v ); // Store the output. _mm_storeu_pd( (double *)(yp + 0*n_elem_per_reg), y4v.v ); yp += 2; ap0 += 2; ap1 += 2; } // If there are leftover iterations, perform them with scalar code. for ( ; (i + 0) < m ; ++i ) { double y0c = *yp; const double a0c = *ap0; const double a1c = *ap1; y0c += chi0 * a0c; y0c += chi1 * a1c; *yp = y0c; ap0 += 1; ap1 += 1; yp += 1; } } else { for ( i = 0; (i + 0) < m ; ++i ) { double y0c = *yp; const double a0c = *ap0; const double a1c = *ap1; y0c += chi0 * a0c; y0c += chi1 * a1c; *yp = y0c; ap0 += inca; ap1 += inca; yp += incy; } } } // ----------------------------------------------------------------------------- void bli_daxpyf_zen_int_16x4 ( conj_t conja, conj_t conjx, dim_t m, dim_t b_n, const void* alpha0, const void* a0, inc_t inca, inc_t lda, const void* x0, inc_t incx, void* y0, inc_t incy, const cntx_t* cntx ) { const double* restrict alpha = alpha0; const double* restrict a = a0; const double* restrict x = x0; double* restrict y = y0; const dim_t fuse_fac = 4; const dim_t n_elem_per_reg = 4; const dim_t n_iter_unroll = 4; dim_t i; v4df_t chi0v, chi1v, chi2v, chi3v; v4df_t a00v, a01v, a02v, a03v; v4df_t a10v, a11v, a12v, a13v; v4df_t a20v, a21v, a22v, a23v; v4df_t a30v, a31v, a32v, a33v; v4df_t y0v, y1v, y2v, y3v; double chi0, chi1, chi2, chi3; v2df_t y4v; v2df_t a40v, a41v, a42v, a43v; // If either dimension is zero, or if alpha is zero, return early. if ( bli_zero_dim2( m, b_n ) || bli_deq0( *alpha ) ) return; // If b_n is not equal to the fusing factor, then perform the entire // operation as a loop over axpyv. if ( b_n != fuse_fac ) { if ( cntx == NULL ) cntx = ( cntx_t* )bli_gks_query_cntx(); axpyv_ker_ft f = bli_cntx_get_ukr_dt( BLIS_DOUBLE, BLIS_AXPYV_KER, cntx ); for ( i = 0; i < b_n; ++i ) { const double* restrict ap1 = a + (0 )*inca + (i )*lda; const double* restrict chi1 = x + (i )*incx; double* restrict y1 = y + (0 )*incy; double alpha_chi1; bli_dcopycjs( conjx, *chi1, alpha_chi1 ); bli_dscals( *alpha, alpha_chi1 ); f ( conja, m, &alpha_chi1, ap1, inca, y1, incy, cntx ); } return; } // At this point, we know that b_n is exactly equal to the fusing factor. const double* restrict ap0 = a + 0*lda; const double* restrict ap1 = a + 1*lda; const double* restrict ap2 = a + 2*lda; const double* restrict ap3 = a + 3*lda; double* restrict yp = y; chi0 = *( x + 0*incx ); chi1 = *( x + 1*incx ); chi2 = *( x + 2*incx ); chi3 = *( x + 3*incx ); // Scale each chi scalar by alpha. bli_dscals( *alpha, chi0 ); bli_dscals( *alpha, chi1 ); bli_dscals( *alpha, chi2 ); bli_dscals( *alpha, chi3 ); // Broadcast the (alpha*chi?) scalars to all elements of vector registers. chi0v.v = _mm256_broadcast_sd( &chi0 ); chi1v.v = _mm256_broadcast_sd( &chi1 ); chi2v.v = _mm256_broadcast_sd( &chi2 ); chi3v.v = _mm256_broadcast_sd( &chi3 ); // If there are vectorized iterations, perform them with vector // instructions. if ( inca == 1 && incy == 1 ) { for ( i = 0; (i + 15) < m; i += 16 ) { // Load the input values. y0v.v = _mm256_loadu_pd( yp + 0*n_elem_per_reg ); y1v.v = _mm256_loadu_pd( yp + 1*n_elem_per_reg ); y2v.v = _mm256_loadu_pd( yp + 2*n_elem_per_reg ); y3v.v = _mm256_loadu_pd( yp + 3*n_elem_per_reg ); a00v.v = _mm256_loadu_pd( ap0 + 0*n_elem_per_reg ); a10v.v = _mm256_loadu_pd( ap0 + 1*n_elem_per_reg ); a20v.v = _mm256_loadu_pd( ap0 + 2*n_elem_per_reg ); a30v.v = _mm256_loadu_pd( ap0 + 3*n_elem_per_reg ); a01v.v = _mm256_loadu_pd( ap1 + 0*n_elem_per_reg ); a11v.v = _mm256_loadu_pd( ap1 + 1*n_elem_per_reg ); a21v.v = _mm256_loadu_pd( ap1 + 2*n_elem_per_reg ); a31v.v = _mm256_loadu_pd( ap1 + 3*n_elem_per_reg ); a02v.v = _mm256_loadu_pd( ap2 + 0*n_elem_per_reg ); a12v.v = _mm256_loadu_pd( ap2 + 1*n_elem_per_reg ); a22v.v = _mm256_loadu_pd( ap2 + 2*n_elem_per_reg ); a32v.v = _mm256_loadu_pd( ap2 + 3*n_elem_per_reg ); a03v.v = _mm256_loadu_pd( ap3 + 0*n_elem_per_reg ); a13v.v = _mm256_loadu_pd( ap3 + 1*n_elem_per_reg ); a23v.v = _mm256_loadu_pd( ap3 + 2*n_elem_per_reg ); a33v.v = _mm256_loadu_pd( ap3 + 3*n_elem_per_reg ); // perform : y += alpha * x; y0v.v = _mm256_fmadd_pd( a00v.v, chi0v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a10v.v, chi0v.v, y1v.v ); y2v.v = _mm256_fmadd_pd( a20v.v, chi0v.v, y2v.v ); y3v.v = _mm256_fmadd_pd( a30v.v, chi0v.v, y3v.v ); y0v.v = _mm256_fmadd_pd( a01v.v, chi1v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a11v.v, chi1v.v, y1v.v ); y2v.v = _mm256_fmadd_pd( a21v.v, chi1v.v, y2v.v ); y3v.v = _mm256_fmadd_pd( a31v.v, chi1v.v, y3v.v ); y0v.v = _mm256_fmadd_pd( a02v.v, chi2v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a12v.v, chi2v.v, y1v.v ); y2v.v = _mm256_fmadd_pd( a22v.v, chi2v.v, y2v.v ); y3v.v = _mm256_fmadd_pd( a32v.v, chi2v.v, y3v.v ); y0v.v = _mm256_fmadd_pd( a03v.v, chi3v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a13v.v, chi3v.v, y1v.v ); y2v.v = _mm256_fmadd_pd( a23v.v, chi3v.v, y2v.v ); y3v.v = _mm256_fmadd_pd( a33v.v, chi3v.v, y3v.v ); // Store the output. _mm256_storeu_pd( (double *)(yp + 0*n_elem_per_reg), y0v.v ); _mm256_storeu_pd( (double *)(yp + 1*n_elem_per_reg), y1v.v ); _mm256_storeu_pd( (double *)(yp + 2*n_elem_per_reg), y2v.v ); _mm256_storeu_pd( (double *)(yp + 3*n_elem_per_reg), y3v.v ); yp += n_iter_unroll * n_elem_per_reg; ap0 += n_iter_unroll * n_elem_per_reg; ap1 += n_iter_unroll * n_elem_per_reg; ap2 += n_iter_unroll * n_elem_per_reg; ap3 += n_iter_unroll * n_elem_per_reg; } for ( ; (i + 11) < m; i += 12 ) { // Load the input values. y0v.v = _mm256_loadu_pd( yp + 0*n_elem_per_reg ); y1v.v = _mm256_loadu_pd( yp + 1*n_elem_per_reg ); y2v.v = _mm256_loadu_pd( yp + 2*n_elem_per_reg ); a00v.v = _mm256_loadu_pd( ap0 + 0*n_elem_per_reg ); a10v.v = _mm256_loadu_pd( ap0 + 1*n_elem_per_reg ); a20v.v = _mm256_loadu_pd( ap0 + 2*n_elem_per_reg ); a01v.v = _mm256_loadu_pd( ap1 + 0*n_elem_per_reg ); a11v.v = _mm256_loadu_pd( ap1 + 1*n_elem_per_reg ); a21v.v = _mm256_loadu_pd( ap1 + 2*n_elem_per_reg ); a02v.v = _mm256_loadu_pd( ap2 + 0*n_elem_per_reg ); a12v.v = _mm256_loadu_pd( ap2 + 1*n_elem_per_reg ); a22v.v = _mm256_loadu_pd( ap2 + 2*n_elem_per_reg ); a03v.v = _mm256_loadu_pd( ap3 + 0*n_elem_per_reg ); a13v.v = _mm256_loadu_pd( ap3 + 1*n_elem_per_reg ); a23v.v = _mm256_loadu_pd( ap3 + 2*n_elem_per_reg ); // perform : y += alpha * x; y0v.v = _mm256_fmadd_pd( a00v.v, chi0v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a10v.v, chi0v.v, y1v.v ); y2v.v = _mm256_fmadd_pd( a20v.v, chi0v.v, y2v.v ); y0v.v = _mm256_fmadd_pd( a01v.v, chi1v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a11v.v, chi1v.v, y1v.v ); y2v.v = _mm256_fmadd_pd( a21v.v, chi1v.v, y2v.v ); y0v.v = _mm256_fmadd_pd( a02v.v, chi2v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a12v.v, chi2v.v, y1v.v ); y2v.v = _mm256_fmadd_pd( a22v.v, chi2v.v, y2v.v ); y0v.v = _mm256_fmadd_pd( a03v.v, chi3v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a13v.v, chi3v.v, y1v.v ); y2v.v = _mm256_fmadd_pd( a23v.v, chi3v.v, y2v.v ); // Store the output. _mm256_storeu_pd( (double *)(yp + 0*n_elem_per_reg), y0v.v ); _mm256_storeu_pd( (double *)(yp + 1*n_elem_per_reg), y1v.v ); _mm256_storeu_pd( (double *)(yp + 2*n_elem_per_reg), y2v.v ); yp += 3 * n_elem_per_reg; ap0 += 3 * n_elem_per_reg; ap1 += 3 * n_elem_per_reg; ap2 += 3 * n_elem_per_reg; ap3 += 3 * n_elem_per_reg; } for ( ; (i + 7) < m; i += 8 ) { // Load the input values. y0v.v = _mm256_loadu_pd( yp + 0*n_elem_per_reg ); y1v.v = _mm256_loadu_pd( yp + 1*n_elem_per_reg ); a00v.v = _mm256_loadu_pd( ap0 + 0*n_elem_per_reg ); a10v.v = _mm256_loadu_pd( ap0 + 1*n_elem_per_reg ); a01v.v = _mm256_loadu_pd( ap1 + 0*n_elem_per_reg ); a11v.v = _mm256_loadu_pd( ap1 + 1*n_elem_per_reg ); a02v.v = _mm256_loadu_pd( ap2 + 0*n_elem_per_reg ); a12v.v = _mm256_loadu_pd( ap2 + 1*n_elem_per_reg ); a03v.v = _mm256_loadu_pd( ap3 + 0*n_elem_per_reg ); a13v.v = _mm256_loadu_pd( ap3 + 1*n_elem_per_reg ); // perform : y += alpha * x; y0v.v = _mm256_fmadd_pd( a00v.v, chi0v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a10v.v, chi0v.v, y1v.v ); y0v.v = _mm256_fmadd_pd( a01v.v, chi1v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a11v.v, chi1v.v, y1v.v ); y0v.v = _mm256_fmadd_pd( a02v.v, chi2v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a12v.v, chi2v.v, y1v.v ); y0v.v = _mm256_fmadd_pd( a03v.v, chi3v.v, y0v.v ); y1v.v = _mm256_fmadd_pd( a13v.v, chi3v.v, y1v.v ); // Store the output. _mm256_storeu_pd( (double *)(yp + 0*n_elem_per_reg), y0v.v ); _mm256_storeu_pd( (double *)(yp + 1*n_elem_per_reg), y1v.v ); yp += 2 * n_elem_per_reg; ap0 += 2 * n_elem_per_reg; ap1 += 2 * n_elem_per_reg; ap2 += 2 * n_elem_per_reg; ap3 += 2 * n_elem_per_reg; } for ( ; (i + 3) < m; i += 4) { // Load the input values. y0v.v = _mm256_loadu_pd( yp + 0*n_elem_per_reg ); a00v.v = _mm256_loadu_pd( ap0 + 0*n_elem_per_reg ); a01v.v = _mm256_loadu_pd( ap1 + 0*n_elem_per_reg ); a02v.v = _mm256_loadu_pd( ap2 + 0*n_elem_per_reg ); a03v.v = _mm256_loadu_pd( ap3 + 0*n_elem_per_reg ); // perform : y += alpha * x; y0v.v = _mm256_fmadd_pd( a00v.v, chi0v.v, y0v.v ); y0v.v = _mm256_fmadd_pd( a01v.v, chi1v.v, y0v.v ); y0v.v = _mm256_fmadd_pd( a02v.v, chi2v.v, y0v.v ); y0v.v = _mm256_fmadd_pd( a03v.v, chi3v.v, y0v.v ); // Store the output. _mm256_storeu_pd( (double *)(yp + 0*n_elem_per_reg), y0v.v ); yp += n_elem_per_reg; ap0 += n_elem_per_reg; ap1 += n_elem_per_reg; ap2 += n_elem_per_reg; ap3 += n_elem_per_reg; } #if 1 for ( ; (i + 1) < m; i += 2) { // Load the input values. y4v.v = _mm_loadu_pd( yp + 0*n_elem_per_reg ); a40v.v = _mm_loadu_pd( ap0 + 0*n_elem_per_reg ); a41v.v = _mm_loadu_pd( ap1 + 0*n_elem_per_reg ); a42v.v = _mm_loadu_pd( ap2 + 0*n_elem_per_reg ); a43v.v = _mm_loadu_pd( ap3 + 0*n_elem_per_reg ); // perform : y += alpha * x; y4v.v = _mm_fmadd_pd( a40v.v, chi0v.xmm[0], y4v.v ); y4v.v = _mm_fmadd_pd( a41v.v, chi1v.xmm[0], y4v.v ); y4v.v = _mm_fmadd_pd( a42v.v, chi2v.xmm[0], y4v.v ); y4v.v = _mm_fmadd_pd( a43v.v, chi3v.xmm[0], y4v.v ); // Store the output. _mm_storeu_pd( (double *)(yp + 0*n_elem_per_reg), y4v.v ); yp += 2; ap0 += 2; ap1 += 2; ap2 += 2; ap3 += 2; } #endif // If there are leftover iterations, perform them with scalar code. for ( ; (i + 0) < m ; ++i ) { double y0c = *yp; const double a0c = *ap0; const double a1c = *ap1; const double a2c = *ap2; const double a3c = *ap3; y0c += chi0 * a0c; y0c += chi1 * a1c; y0c += chi2 * a2c; y0c += chi3 * a3c; *yp = y0c; ap0 += 1; ap1 += 1; ap2 += 1; ap3 += 1; yp += 1; } } else { for ( i = 0; (i + 0) < m ; ++i ) { double y0c = *yp; const double a0c = *ap0; const double a1c = *ap1; const double a2c = *ap2; const double a3c = *ap3; y0c += chi0 * a0c; y0c += chi1 * a1c; y0c += chi2 * a2c; y0c += chi3 * a3c; *yp = y0c; ap0 += inca; ap1 += inca; ap2 += inca; ap3 += inca; yp += incy; } } }