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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_trsm_work( Params& params, bool run )
{
using namespace testsweeper;
using blas::Uplo;
using blas::Side;
using blas::Op;
using blas::Layout;
using blas::Diag;
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();
int64_t align = params.align();
int64_t verbose = params.verbose();
// mark non-standard output values
params.gflops();
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[ size_A ];
TB* B = new TB[ size_B ];
TB* Bref = new TB[ size_B ];
int64_t idist = 1;
int iseed[4] = { 0, 0, 0, 1 };
lapack_larnv( idist, iseed, size_A, A ); // TODO: generate
lapack_larnv( idist, iseed, size_B, B ); // TODO
lapack_lacpy( "g", Bm, Bn, B, ldb, Bref, ldb );
// set unused data to nan
if (uplo == Uplo::Lower) {
for (int64_t j = 0; j < Am; ++j)
for (int64_t i = 0; i < j; ++i) // upper
A[ i + j*lda ] = nan("");
}
else {
for (int64_t j = 0; j < Am; ++j)
for (int64_t i = j+1; i < Am; ++i) // lower
A[ 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 (int64_t i = 0; i < Am; ++i) {
A[ i + i*lda ] += Am;
}
int64_t info = 0;
lapack_potrf( to_c_string( uplo ), Am, A, lda, &info );
require( info == 0 );
// norms for error check
real_t work[1];
real_t Anorm = lapack_lantr( "f", to_c_string( uplo ), to_c_string( diag ),
Am, Am, A, lda, work );
real_t Bnorm = lapack_lange( "f", Bm, Bn, B, ldb, work );
// if row-major, transpose A
if (layout == Layout::RowMajor) {
for (int64_t j = 0; j < Am; ++j) {
for (int64_t i = 0; i < j; ++i) {
swap( A[ i + j*lda ], A[ j + i*lda ] );
}
}
}
// test error exits
assert_throw( blas::trsm( Layout(0), side, uplo, trans, diag, m, n, alpha, A, lda, B, ldb ), blas::Error );
assert_throw( blas::trsm( layout, Side(0), uplo, trans, diag, m, n, alpha, A, lda, B, ldb ), blas::Error );
assert_throw( blas::trsm( layout, side, Uplo(0), trans, diag, m, n, alpha, A, lda, B, ldb ), blas::Error );
assert_throw( blas::trsm( layout, side, uplo, Op(0), diag, m, n, alpha, A, lda, B, ldb ), blas::Error );
assert_throw( blas::trsm( layout, side, uplo, trans, Diag(0), m, n, alpha, A, lda, B, ldb ), blas::Error );
assert_throw( blas::trsm( layout, side, uplo, trans, diag, -1, n, alpha, A, lda, B, ldb ), blas::Error );
assert_throw( blas::trsm( layout, side, uplo, trans, diag, m, -1, alpha, A, lda, B, ldb ), blas::Error );
assert_throw( blas::trsm( layout, Side::Left, uplo, trans, diag, m, n, alpha, A, m-1, B, ldb ), blas::Error );
assert_throw( blas::trsm( layout, Side::Right, uplo, trans, diag, m, n, alpha, A, n-1, B, ldb ), blas::Error );
assert_throw( blas::trsm( Layout::ColMajor, side, uplo, trans, diag, m, n, alpha, A, lda, B, m-1 ), blas::Error );
assert_throw( blas::trsm( Layout::RowMajor, side, uplo, trans, diag, m, n, alpha, A, lda, B, n-1 ), blas::Error );
if (verbose >= 1) {
printf( "\n"
"A Am=%5lld, Am=%5lld, lda=%5lld, size=%10lld, norm=%.2e\n"
"B Bm=%5lld, Bn=%5lld, ldb=%5lld, size=%10lld, norm=%.2e\n",
llong( Am ), llong( Am ), llong( lda ), llong( size_A ), Anorm,
llong( Bm ), llong( Bn ), llong( ldb ), llong( size_B ), Bnorm );
}
if (verbose >= 2) {
printf( "A = " ); print_matrix( Am, Am, A, lda );
printf( "B = " ); print_matrix( Bm, Bn, B, ldb );
}
// run test
testsweeper::flush_cache( params.cache() );
double time = get_wtime();
blas::trsm( layout, side, uplo, trans, diag, m, n, alpha, A, lda, B, ldb );
time = get_wtime() - time;
double gflop = blas::Gflop< scalar_t >::trsm( side, m, n );
params.time() = time;
params.gflops() = gflop / time;
if (verbose >= 2) {
printf( "X = " ); print_matrix( Bm, Bn, B, ldb );
}
if (params.check() == 'y') {
// run reference
testsweeper::flush_cache( params.cache() );
time = get_wtime();
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, A, lda, Bref, ldb );
time = get_wtime() - time;
params.ref_time() = time;
params.ref_gflops() = gflop / time;
if (verbose >= 2) {
printf( "Xref = " ); print_matrix( Bm, Bn, Bref, ldb );
}
// check error compared to reference
// Am is reduction dimension
// beta = 0, Cnorm = 0 (initial).
real_t error;
bool okay;
check_gemm( Bm, Bn, Am, alpha, scalar_t(0), Anorm, Bnorm, real_t(0),
Bref, ldb, B, ldb, verbose, &error, &okay );
params.error() = error;
params.okay() = okay;
}
delete[] A;
delete[] B;
delete[] Bref;
}
// -----------------------------------------------------------------------------
void test_trsm( Params& params, bool run )
{
switch (params.datatype()) {
case testsweeper::DataType::Single:
test_trsm_work< float, float >( params, run );
break;
case testsweeper::DataType::Double:
test_trsm_work< double, double >( params, run );
break;
case testsweeper::DataType::SingleComplex:
test_trsm_work< std::complex<float>, std::complex<float> >
( params, run );
break;
case testsweeper::DataType::DoubleComplex:
test_trsm_work< std::complex<double>, std::complex<double> >
( params, run );
break;
default:
throw std::exception();
break;
}
}
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