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// Copyright (c) 2017-2023, University of Tennessee. All rights reserved.
// SPDX-License-Identifier: BSD-3-Clause
// This program is free software: you can redistribute it and/or modify it under
// the terms of the BSD 3-Clause license. See the accompanying LICENSE file.
#include "test.hh"
#include "cblas_wrappers.hh"
#include "lapack_wrappers.hh"
#include "blas/flops.hh"
#include "print_matrix.hh"
#include "check_gemm.hh"
// -----------------------------------------------------------------------------
template <typename TA, typename TB>
void test_batch_trsm_work( Params& params, bool run )
{
using namespace testsweeper;
using blas::Uplo;
using blas::Side;
using blas::Layout;
using scalar_t = blas::scalar_type< TA, TB >;
using real_t = blas::real_type< scalar_t >;
using std::swap;
// get & mark input values
blas::Layout layout = params.layout();
blas::Side side_ = params.side();
blas::Uplo uplo_ = params.uplo();
blas::Op trans_ = params.trans();
blas::Diag diag_ = params.diag();
scalar_t alpha_ = params.alpha.get<scalar_t>();
int64_t m_ = params.dim.m();
int64_t n_ = params.dim.n();
size_t batch = params.batch();
int64_t align = params.align();
int64_t verbose = params.verbose();
// mark non-standard output values
params.ref_time();
params.ref_gflops();
if (! run)
return;
// ----------
// setup
int64_t Am = (side_ == Side::Left ? m_ : n_);
int64_t Bm = m_;
int64_t Bn = n_;
if (layout == Layout::RowMajor)
swap( Bm, Bn );
int64_t lda_ = roundup( Am, align );
int64_t ldb_ = roundup( Bm, align );
size_t size_A = size_t(lda_)*Am;
size_t size_B = size_t(ldb_)*Bn;
TA* A = new TA[ batch * size_A ];
TB* B = new TB[ batch * size_B ];
TB* Bref = new TB[ batch * size_B ];
// pointer arrays
std::vector<TA*> Aarray( batch );
std::vector<TB*> Barray( batch );
std::vector<TB*> Brefarray( batch );
for (size_t i = 0; i < batch; ++i) {
Aarray[i] = A + i * size_A;
Barray[i] = B + i * size_B;
Brefarray[i] = Bref + i * size_B;
}
// info
std::vector<int64_t> info( batch );
// wrap scalar arguments in std::vector
std::vector<blas::Side> side(1, side_);
std::vector<blas::Uplo> uplo(1, uplo_);
std::vector<blas::Op> trans(1, trans_);
std::vector<blas::Diag> diag(1, diag_);
std::vector<int64_t> m(1, m_);
std::vector<int64_t> n(1, n_);
std::vector<int64_t> vlda_(1, lda_);
std::vector<int64_t> vldb_(1, ldb_);
std::vector<scalar_t> alpha(1, alpha_);
int64_t idist = 1;
int iseed[4] = { 0, 0, 0, 1 };
lapack_larnv( idist, iseed, batch * size_A, A ); // TODO: generate
lapack_larnv( idist, iseed, batch * size_B, B ); // TODO
lapack_lacpy( "g", Bm, batch * Bn, B, ldb_, Bref, ldb_ );
// set unused data to nan
if (uplo_ == Uplo::Lower) {
for (size_t s = 0; s < batch; ++s)
for (int64_t j = 0; j < Am; ++j)
for (int64_t i = 0; i < j; ++i) // upper
Aarray[s][ i + j*lda_ ] = nan("");
}
else {
for (size_t s = 0; s < batch; ++s)
for (int64_t j = 0; j < Am; ++j)
for (int64_t i = j+1; i < Am; ++i) // lower
Aarray[s][ i + j*lda_ ] = nan("");
}
// Factor A into L L^H or U U^H to get a well-conditioned triangular matrix.
// If diag_ == Unit, the diagonal is replaced; this is still well-conditioned.
// First, brute force positive definiteness.
for (size_t s = 0; s < batch; ++s) {
for (int64_t i = 0; i < Am; ++i) {
Aarray[s][ i + i*lda_ ] += Am;
}
int64_t blas_info = 0;
lapack_potrf( to_c_string( uplo_ ), Am, Aarray[s], lda_, &blas_info );
require( blas_info == 0 );
}
// norms for error check
real_t work[1];
real_t* Anorm = new real_t[ batch ];
real_t* Bnorm = new real_t[ batch ];
for (size_t s = 0; s < batch; ++s) {
Anorm[s] = lapack_lantr( "f", to_c_string( uplo_ ), to_c_string( diag_ ), Am, Am, Aarray[s], lda_, work );
Bnorm[s] = lapack_lange( "f", Bm, Bn, Barray[s], ldb_, work );
}
// if row-major, transpose A
if (layout == Layout::RowMajor) {
for (size_t s = 0; s < batch; ++s) {
for (int64_t j = 0; j < Am; ++j) {
for (int64_t i = 0; i < j; ++i) {
swap( Aarray[s][ i + j*lda_ ], Aarray[s][ j + i*lda_ ] );
}
}
}
}
// decide error checking mode
info.resize( 0 );
// run test
testsweeper::flush_cache( params.cache() );
double time = get_wtime();
blas::batch::trsm( layout, side, uplo, trans, diag, m, n, alpha, Aarray, vlda_, Barray, vldb_,
batch, info );
time = get_wtime() - time;
double gflop = batch * blas::Gflop< scalar_t >::trsm( side_, m_, n_ );
params.time() = time;
params.gflops() = gflop / time;
if (params.check() == 'y') {
// run reference
testsweeper::flush_cache( params.cache() );
time = get_wtime();
for (size_t s = 0; s < batch; ++s) {
cblas_trsm( cblas_layout_const(layout),
cblas_side_const(side_),
cblas_uplo_const(uplo_),
cblas_trans_const(trans_),
cblas_diag_const(diag_),
m_, n_, alpha_, Aarray[s], lda_, Brefarray[s], ldb_ );
}
time = get_wtime() - time;
params.ref_time() = time;
params.ref_gflops() = gflop / time;
// check error compared to reference
// Am is reduction dimension
// beta = 0, Cnorm = 0 (initial).
real_t err, error = 0.0;
bool ok, okay = true;
for (size_t s = 0; s < batch; ++s) {
check_gemm( Bm, Bn, Am, alpha_, scalar_t(0), Anorm[s], Bnorm[s], real_t(0),
Brefarray[s], ldb_, Barray[s], ldb_, verbose, &err, &ok );
error = std::max( error, err );
okay &= ok;
}
params.error() = error;
params.okay() = okay;
}
delete[] A;
delete[] B;
delete[] Bref;
delete[] Anorm;
delete[] Bnorm;
}
// -----------------------------------------------------------------------------
void test_batch_trsm( Params& params, bool run )
{
switch (params.datatype()) {
case testsweeper::DataType::Single:
test_batch_trsm_work< float, float >( params, run );
break;
case testsweeper::DataType::Double:
test_batch_trsm_work< double, double >( params, run );
break;
case testsweeper::DataType::SingleComplex:
test_batch_trsm_work< std::complex<float>, std::complex<float> >
( params, run );
break;
case testsweeper::DataType::DoubleComplex:
test_batch_trsm_work< std::complex<double>, std::complex<double> >
( params, run );
break;
default:
throw std::exception();
break;
}
}
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