/* ************************************************************************ * Copyright (C) 2020-2023 Advanced Micro Devices, Inc. All rights reserved. * * Permission is hereby granted, free of charge, to any person obtaining a copy * of this software and associated documentation files (the "Software"), to deal * in the Software without restriction, including without limitation the rights * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell cop- * ies of the Software, and to permit persons to whom the Software is furnished * to do so, subject to the following conditions: * * The above copyright notice and this permission notice shall be included in all * copies or substantial portions of the Software. * * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IM- * PLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS * FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR * COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER * IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNE- * CTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. * * * ************************************************************************/ #pragma once #include "rocblas.h" /*!\file * \brief provides bandwidth measure as byte counts Basic Linear Algebra Subprograms (BLAS) of * Level 1, 2, 3. Where possible we are using the values of NOP from the legacy BLAS files * [sdcz]blas[23]time.f for byte counts. */ /* * =========================================================================== * Auxiliary * =========================================================================== */ /* \brief byte counts of SET/GET_MATRIX/_ASYNC */ template constexpr double set_get_matrix_gbyte_count(int64_t m, int64_t n) { // calls done in pairs for timing so x 2.0 return (sizeof(T) * m * n * 2.0) / 1e9; } /* \brief byte counts of SET/GET_VECTOR/_ASYNC */ template constexpr double set_get_vector_gbyte_count(int64_t n) { // calls done in pairs for timing so x 2.0 return (sizeof(T) * n * 2.0) / 1e9; } /* * =========================================================================== * level 1 BLAS * =========================================================================== */ /* \brief byte counts of ASUM */ template constexpr double asum_gbyte_count(int64_t n) { return (sizeof(T) * n) / 1e9; } /* \brief byte counts of AXPY */ template constexpr double axpy_gbyte_count(int64_t n) { return (sizeof(T) * 3.0 * n) / 1e9; } /* \brief byte counts of COPY */ template constexpr double copy_gbyte_count(int64_t n) { return (sizeof(T) * 2.0 * n) / 1e9; } /* \brief byte counts of DOT */ template constexpr double dot_gbyte_count(int64_t n) { return (sizeof(T) * 2.0 * n) / 1e9; } /* \brief byte counts of IAMAX AND IAMIN */ template constexpr double iamax_iamin_gbyte_count(int64_t n) { return (sizeof(T) * n) / 1e9; } /* \brief byte counts of NRM2 */ template constexpr double nrm2_gbyte_count(int64_t n) { return (sizeof(T) * n) / 1e9; } /* \brief byte counts of SCAL */ template constexpr double scal_gbyte_count(int64_t n) { return (sizeof(T) * 2.0 * n) / 1e9; } /* \brief byte counts of SWAP */ template constexpr double swap_gbyte_count(int64_t n) { return (sizeof(T) * 4.0 * n) / 1e9; } /* \brief byte counts of ROT */ template constexpr double rot_gbyte_count(int64_t n) { return (sizeof(T) * 4.0 * n) / 1e9; //2 loads and 2 stores } /* \brief byte counts of ROTM */ template constexpr double rotm_gbyte_count(int64_t n, T flag) { //No load and store operations when flag is set to -2.0 if(flag != -2.0) { return (sizeof(T) * 4.0 * n) / 1e9; //2 loads and 2 stores } else { return 0; } } /* * =========================================================================== * level 2 BLAS * =========================================================================== */ inline size_t tri_count(int64_t n) { return size_t(n) * (1 + n) / 2; } inline size_t rocblas_packed_matrix_size(int64_t n) { return (size_t(n) * (1 + n)) / 2; } /* \brief byte counts of GBMV */ template constexpr double gbmv_gbyte_count(rocblas_operation transA, int64_t m, int64_t n, int64_t kl, int64_t ku) { size_t dim_x = transA == rocblas_operation_none ? n : m; int64_t k1 = dim_x < kl ? dim_x : kl; int64_t k2 = dim_x < ku ? dim_x : ku; int64_t d1 = ((k1 * dim_x) - (k1 * (k1 + 1) / 2)); int64_t d2 = ((k2 * dim_x) - (k2 * (k2 + 1) / 2)); double num_els = double(d1 + d2 + dim_x); return (sizeof(T) * (num_els)) / 1e9; } /* \brief byte counts of GEMV */ template constexpr double gemv_gbyte_count(rocblas_operation transA, int64_t m, int64_t n) { return (sizeof(T) * (m * n + 2 * (transA == rocblas_operation_none ? n : m))) / 1e9; } /* \brief byte counts of GER */ template constexpr double ger_gbyte_count(int64_t m, int64_t n) { return (sizeof(T) * (m * n + m + n)) / 1e9; } /* \brief byte counts of HEMV */ template constexpr double hemv_gbyte_count(int64_t n) { return (sizeof(T) * (((n * (n + 1.0)) / 2.0) + 3.0 * n)) / 1e9; } /* \brief byte counts of HBMV */ template constexpr double hbmv_gbyte_count(int64_t n, int64_t k) { int64_t k1 = k < n ? k : n; return (sizeof(T) * (n * k1 - ((k1 * (k1 + 1)) / 2.0) + 3 * n)) / 1e9; } /* \brief byte counts of HPMV */ template constexpr double hpmv_gbyte_count(int64_t n) { return (sizeof(T) * ((n * (n + 1.0)) / 2.0) + 3.0 * n) / 1e9; } /* \brief byte counts of HPR */ template constexpr double hpr_gbyte_count(int64_t n) { return (sizeof(T) * (tri_count(n) + n)) / 1e9; } /* \brief byte counts of HPR2 */ template constexpr double hpr2_gbyte_count(int64_t n) { return (sizeof(T) * (tri_count(n) + 2.0 * n)) / 1e9; } /* \brief byte counts of SYMV */ template constexpr double symv_gbyte_count(int64_t n) { return (sizeof(T) * (tri_count(n) + n)) / 1e9; } /* \brief byte counts of SPMV */ template constexpr double spmv_gbyte_count(int64_t n) { return (sizeof(T) * (tri_count(n) + n)) / 1e9; } /* \brief byte counts of SBMV */ template constexpr double sbmv_gbyte_count(int64_t n, int64_t k) { int64_t k1 = k < n ? k : n - 1; return (sizeof(T) * (tri_count(n) - tri_count(n - (k1 + 1)) + n)) / 1e9; } /* \brief byte counts of HER */ template constexpr double her_gbyte_count(int64_t n) { return (sizeof(T) * (tri_count(n) + n)) / 1e9; } /* \brief byte counts of HER2 */ template constexpr double her2_gbyte_count(int64_t n) { return (sizeof(T) * (tri_count(n) + 2 * n)) / 1e9; } /* \brief byte counts of SPR */ template constexpr double spr_gbyte_count(int64_t n) { // read and write of A + read of x return (sizeof(T) * (tri_count(n) * 2 + n)) / 1e9; } /* \brief byte counts of SPR2 */ template constexpr double spr2_gbyte_count(int64_t n) { // read and write of A + read of x and y return (sizeof(T) * (tri_count(n) * 2 + n * 2)) / 1e9; } /* \brief byte counts of SYR */ template constexpr double syr_gbyte_count(int64_t n) { // read and write of A + read of x return (sizeof(T) * (tri_count(n) * 2 + n)) / 1e9; } /* \brief byte counts of SYR2 */ template constexpr double syr2_gbyte_count(int64_t n) { // read and write of A + read of x and y return (sizeof(T) * (tri_count(n) * 2 + n * 2)) / 1e9; } /* \brief byte counts of TBMV */ template constexpr double tbmv_gbyte_count(int64_t m, int64_t k) { int64_t k1 = k < m ? k : m; return (sizeof(T) * (m * k1 - ((k1 * (k1 + 1)) / 2.0) + 3 * m)) / 1e9; } /* \brief byte counts of TPMV */ template constexpr double tpmv_gbyte_count(int64_t m) { return (sizeof(T) * tri_count(m)) / 1e9; } /* \brief byte counts of TRMV */ template constexpr double trmv_gbyte_count(int64_t m) { return (sizeof(T) * ((m * (m + 1.0)) / 2 + 2 * m)) / 1e9; } /* \brief byte counts of TPSV */ template constexpr double tpsv_gbyte_count(int64_t n) { return (sizeof(T) * (tri_count(n) + n)) / 1e9; } /* * =========================================================================== * level 3 BLAS * =========================================================================== */ /* \brief byte counts of SYRK */ template constexpr double syrk_gbyte_count(int64_t n, int64_t k) { int64_t k1 = k < n ? k : n - 1; return (sizeof(T) * (tri_count(n) + n * k)) / 1e9; } /* \brief byte counts of HERK */ template constexpr double herk_gbyte_count(int64_t n, int64_t k) { return syrk_gbyte_count(n, k); }