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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 "lapack.hh"
#include "lapack/flops.hh"
#include "print_matrix.hh"
#include "error.hh"
#include "lapacke_wrappers.hh"
#include "cblas_wrappers.hh"
#include <vector>
// -----------------------------------------------------------------------------
template< typename scalar_t >
void test_gbtrs_work( Params& params, bool run )
{
using real_t = blas::real_type< scalar_t >;
// get & mark input values
lapack::Op trans = params.trans();
int64_t n = params.dim.n();
int64_t kl = params.kl();
int64_t ku = params.ku();
int64_t nrhs = params.nrhs();
int64_t align = params.align();
int64_t verbose = params.verbose();
real_t eps = std::numeric_limits< real_t >::epsilon();
real_t tol = params.tol() * eps;
// mark non-standard output values
params.ref_time();
//params.ref_gflops();
//params.gflops();
if (! run)
return;
// ---------- setup
int64_t kd = 2*kl + ku + 1; // number of diagonals in factor
int64_t ldab = roundup( kd, align );
int64_t ldb = roundup( blas::max( 1, n ), align );
size_t size_AB = (size_t) ldab * n;
size_t size_ipiv = (size_t) (n);
size_t size_B = (size_t) ldb * nrhs;
std::vector< scalar_t > AB_tst( size_AB );
std::vector< scalar_t > AB_ref( size_AB );
std::vector< int64_t > ipiv_tst( size_ipiv );
std::vector< lapack_int > ipiv_ref( size_ipiv );
std::vector< scalar_t > B_tst( size_B );
std::vector< scalar_t > B_ref( size_B );
int64_t idist = 1;
int64_t iseed[4] = { 0, 1, 2, 3 };
lapack::larnv( idist, iseed, AB_tst.size(), &AB_tst[0] );
lapack::larnv( idist, iseed, B_tst.size(), &B_tst[0] );
AB_ref = AB_tst;
B_ref = B_tst;
if (verbose >= 1) {
printf( "\n"
"AB n=%5lld, kl=%5lld, ku=%5lld, kd=%5lld, ldab=%5lld\n"
"B n=%5lld, nrhs=%5lld, ldb=%5lld\n",
llong( n ), llong( kl ), llong( ku ), llong( kd ), llong( ldab ),
llong( n ), llong( nrhs ), llong( ldb ) );
}
if (verbose >= 2) {
printf( "Input data in rows 0 to kl-1 are ignored.\n" );
printf( "AB = " ); print_matrix( kd, n, &AB_tst[0], ldab );
printf( "B = " ); print_matrix( n, nrhs, &B_tst[0], ldb );
}
// factor
int64_t info = lapack::gbtrf( n, n, kl, ku, &AB_tst[0], ldab, &ipiv_tst[0] );
if (info != 0) {
fprintf( stderr, "lapack::gbtrf returned error %lld\n", llong( info ) );
}
std::copy( ipiv_tst.begin(), ipiv_tst.end(), ipiv_ref.begin() );
// ---------- run test
testsweeper::flush_cache( params.cache() );
double time = testsweeper::get_wtime();
int64_t info_tst = lapack::gbtrs( trans, n, kl, ku, nrhs, &AB_tst[0], ldab, &ipiv_tst[0], &B_tst[0], ldb );
time = testsweeper::get_wtime() - time;
if (info_tst != 0) {
fprintf( stderr, "lapack::gbtrs returned error %lld\n", llong( info_tst ) );
}
params.time() = time;
//double gflop = lapack::Gflop< scalar_t >::gbtrs( trans, n, kl, ku, nrhs );
//params.gflops() = gflop / time;
if (verbose >= 2) {
printf( "A_factor = " ); print_matrix( kd, n, &AB_tst[0], ldab );
printf( "X = " ); print_matrix( n, nrhs, &B_tst[0], ldb );
}
if (params.check() == 'y') {
// ---------- check error
// Relative backwards error = ||b - Ax|| / (n * ||A|| * ||x||).
// No gbmm, so loop over RHS.
// AB_ref rows 0:kl-1 are ignored; start in row kl.
for (int64_t j = 0; j < nrhs; ++j) {
// B_ref -= A * B_tst
cblas_gbmv( CblasColMajor, cblas_trans_const(trans), n, n, kl, ku,
-1.0, &AB_ref[ kl ], ldab,
&B_tst[ j*ldb ], 1,
1.0, &B_ref[ j*ldb ], 1 );
}
if (verbose >= 2) {
printf( "R = " ); print_matrix( n, nrhs, &B_ref[0], ldb );
}
real_t error = lapack::lange( lapack::Norm::One, n, nrhs, &B_ref[0], ldb );
real_t Xnorm = lapack::lange( lapack::Norm::One, n, nrhs, &B_tst[0], ldb );
real_t Anorm = lapack::langb( lapack::Norm::One, n, kl, ku, &AB_ref[ kl ], ldab );
error /= (n * Anorm * Xnorm);
params.error() = error;
params.okay() = (error < tol);
}
if (params.ref() == 'y') {
// ---------- run reference
testsweeper::flush_cache( params.cache() );
time = testsweeper::get_wtime();
int64_t info_ref = LAPACKE_gbtrs( to_char( trans ), n, kl, ku, nrhs, &AB_tst[0], ldab, &ipiv_ref[0], &B_ref[0], ldb );
time = testsweeper::get_wtime() - time;
if (info_ref != 0) {
fprintf( stderr, "LAPACKE_gbtrs returned error %lld\n", llong( info_ref ) );
}
params.ref_time() = time;
//params.ref_gflops() = gflop / time;
}
}
// -----------------------------------------------------------------------------
void test_gbtrs( Params& params, bool run )
{
switch (params.datatype()) {
case testsweeper::DataType::Single:
test_gbtrs_work< float >( params, run );
break;
case testsweeper::DataType::Double:
test_gbtrs_work< double >( params, run );
break;
case testsweeper::DataType::SingleComplex:
test_gbtrs_work< std::complex<float> >( params, run );
break;
case testsweeper::DataType::DoubleComplex:
test_gbtrs_work< std::complex<double> >( params, run );
break;
default:
throw std::runtime_error( "unknown datatype" );
break;
}
}
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