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/*! \file */
/* ************************************************************************
* Copyright (C) 2019-2022 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
* copies 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
* IMPLIED, 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 CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
* THE SOFTWARE.
*
* ************************************************************************ */
/*! \file
* \brief flops.hpp provides floating point counts of Sparse Linear Algebra Subprograms
* of Level 1, 2 and 3.
*/
#pragma once
#ifndef FLOPS_HPP
#define FLOPS_HPP
#include <rocsparse.h>
/*
* ===========================================================================
* level 1 SPARSE
* ===========================================================================
*/
constexpr double axpyi_gflop_count(rocsparse_int nnz)
{
return (2.0 * nnz) / 1e9;
}
template <typename I>
constexpr double axpby_gflop_count(I nnz)
{
return (3.0 * nnz) / 1e9;
}
constexpr double doti_gflop_count(rocsparse_int nnz)
{
return (2.0 * nnz) / 1e9;
}
template <typename I>
constexpr double roti_gflop_count(I nnz)
{
return (6.0 * nnz) / 1e9;
}
/*
* ===========================================================================
* level 2 SPARSE
* ===========================================================================
*/
template <typename I, typename J>
constexpr double spmv_gflop_count(J M, I nnz, bool beta = false)
{
return (2.0 * nnz + (beta ? M : 0)) / 1e9;
}
template <typename I, typename J>
constexpr double csrsv_gflop_count(J M, I nnz, rocsparse_diag_type diag)
{
return (2.0 * nnz + M + (diag == rocsparse_diag_type_non_unit ? M : 0)) / 1e9;
}
template <typename I, typename J>
constexpr double spsv_gflop_count(J M, I nnz, rocsparse_diag_type diag)
{
return csrsv_gflop_count(M, nnz, diag);
}
template <typename I>
constexpr double gemvi_gflop_count(I M, I nnz)
{
return (M + 2.0 * nnz * M) / 1e9;
}
/*
* ===========================================================================
* level 3 SPARSE
* ===========================================================================
*/
constexpr double bsrmm_gflop_count(rocsparse_int N,
rocsparse_int nnzb,
rocsparse_int block_dim,
rocsparse_int nnz_C,
bool beta = false)
{
return (2.0 * nnzb * block_dim * block_dim * N + (beta ? nnz_C : 0)) / 1e9;
}
constexpr double gebsrmm_gflop_count(rocsparse_int N,
rocsparse_int nnzb,
rocsparse_int row_block_dim,
rocsparse_int col_block_dim,
rocsparse_int nnz_C,
bool beta = false)
{
return (2.0 * nnzb * row_block_dim * col_block_dim * N + (beta ? nnz_C : 0)) / 1e9;
}
template <typename I, typename J>
constexpr double csrmm_gflop_count(J N, I nnz_A, I nnz_C, bool beta = false)
{
// Multiplication by 2 comes from 1 addition and 1 multiplication in product. Multiplication
// by alpha and beta not counted.
return (2.0 * nnz_A * N + (beta ? nnz_C : 0)) / 1e9;
}
template <typename I, typename J>
constexpr double spmm_gflop_count(J N, I nnz_A, I nnz_C, bool beta = false)
{
return csrmm_gflop_count(N, nnz_A, nnz_C, beta);
}
template <rocsparse_format FORMAT>
struct rocsparse_gflop_count
{
template <typename T, typename I, typename J>
static constexpr double sddmm(J M, J N, I nnz, J K, bool beta = false);
};
template <>
struct rocsparse_gflop_count<rocsparse_format_coo>
{
template <typename I, typename J>
static constexpr double sddmm(J M, J N, I nnz, J K, bool beta = false)
{
size_t innz = (size_t)nnz;
return (innz * ((size_t(K) + (size_t(K) - 1)) + 1 + ((beta) ? 2 : 0))) / 1e9;
}
};
template <>
struct rocsparse_gflop_count<rocsparse_format_csr>
{
template <typename I, typename J>
static constexpr double sddmm(J M, J N, I nnz, J K, bool beta = false)
{
return rocsparse_gflop_count<rocsparse_format_coo>::sddmm(M, N, nnz, K, beta);
}
};
template <>
struct rocsparse_gflop_count<rocsparse_format_csc>
{
template <typename I, typename J>
static constexpr double sddmm(J M, J N, I nnz, J K, bool beta = false)
{
return rocsparse_gflop_count<rocsparse_format_coo>::sddmm(M, N, nnz, K, beta);
}
};
template <>
struct rocsparse_gflop_count<rocsparse_format_coo_aos>
{
template <typename I, typename J>
static constexpr double sddmm(J M, J N, I nnz, J K, bool beta = false)
{
return rocsparse_gflop_count<rocsparse_format_coo>::sddmm(M, N, nnz, K, beta);
}
};
template <>
struct rocsparse_gflop_count<rocsparse_format_ell>
{
template <typename I, typename J>
static constexpr double sddmm(J M, J N, I nnz, J K, bool beta = false)
{
return rocsparse_gflop_count<rocsparse_format_coo>::sddmm(M, N, nnz, K, beta);
}
};
/*
* ===========================================================================
* extra SPARSE
* ===========================================================================
*/
template <typename T>
constexpr double csrgeam_gflop_count(
rocsparse_int nnz_A, rocsparse_int nnz_B, rocsparse_int nnz_C, const T* alpha, const T* beta)
{
// Flop counter
double flops = 0.0;
if(alpha && beta)
{
// Count alpha * A
flops += static_cast<double>(nnz_A);
// Count beta * B
flops += static_cast<double>(nnz_B);
// Count A + B
flops += static_cast<double>(nnz_C);
}
else if(!alpha)
{
// Count beta * B
flops += static_cast<double>(nnz_B);
}
else
{
// Count alpha * A
flops += static_cast<double>(nnz_A);
}
return flops / 1e9;
}
template <typename T, typename I = rocsparse_int, typename J = rocsparse_int>
constexpr double csrgemm_gflop_count(J M,
const T* alpha,
const I* csr_row_ptr_A,
const J* csr_col_ind_A,
const I* csr_row_ptr_B,
const T* beta,
const I* csr_row_ptr_D,
rocsparse_index_base baseA)
{
// Flop counter
double flops = 0.0;
// Loop over rows of A
for(J i = 0; i < M; ++i)
{
if(alpha)
{
I row_begin_A = csr_row_ptr_A[i] - baseA;
I row_end_A = csr_row_ptr_A[i + 1] - baseA;
// Loop over columns of A
for(I j = row_begin_A; j < row_end_A; ++j)
{
// Current column of A
J col_A = csr_col_ind_A[j] - baseA;
// Count flops generated by alpha * A * B
flops += 2.0 * (csr_row_ptr_B[col_A + 1] - csr_row_ptr_B[col_A]) + 1.0;
}
}
if(beta)
{
// Count flops generated by beta * D
flops += (csr_row_ptr_D[i + 1] - csr_row_ptr_D[i]);
}
}
return flops / 1e9;
}
#endif // FLOPS_HPP
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