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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 <vector>
// -----------------------------------------------------------------------------
template< typename scalar_t >
void test_posv_work( Params& params, bool run )
{
using real_t = blas::real_type< scalar_t >;
// get & mark input values
lapack::Uplo uplo = params.uplo();
int64_t n = params.dim.n();
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) {
params.matrix.kind.set_default( "rand_dominant" );
return;
}
// ---------- setup
int64_t lda = roundup( blas::max( 1, n ), align );
int64_t ldb = roundup( blas::max( 1, n ), align );
size_t size_A = (size_t) lda * n;
size_t size_B = (size_t) ldb * nrhs;
std::vector< scalar_t > A_tst( size_A );
std::vector< scalar_t > A_ref( size_A );
std::vector< scalar_t > B_tst( size_B );
std::vector< scalar_t > B_ref( size_B );
lapack::generate_matrix( params.matrix, n, n, &A_tst[0], lda );
int64_t idist = 1;
int64_t iseed[4] = { 0, 1, 2, 3 };
lapack::larnv( idist, iseed, B_tst.size(), &B_tst[0] );
A_ref = A_tst;
B_ref = B_tst;
if (verbose >= 1) {
printf( "\n"
"A n=%5lld, lda=%5lld\n"
"B n=%5lld, nrhs=%5lld, ldb=%5lld\n",
llong( n ), llong( lda ),
llong( n ), llong( nrhs ), llong( ldb ) );
}
if (verbose >= 2) {
printf( "A = " ); print_matrix( n, n, &A_tst[0], lda );
printf( "B = " ); print_matrix( n, nrhs, &B_tst[0], ldb );
}
// test error exits
if (params.error_exit() == 'y') {
using lapack::Uplo;
assert_throw( lapack::posv( Uplo(0), n, nrhs, &A_tst[0], lda, &B_tst[0], ldb ), lapack::Error );
assert_throw( lapack::posv( uplo, -1, nrhs, &A_tst[0], lda, &B_tst[0], ldb ), lapack::Error );
assert_throw( lapack::posv( uplo, n, -1, &A_tst[0], lda, &B_tst[0], ldb ), lapack::Error );
assert_throw( lapack::posv( uplo, n, nrhs, &A_tst[0], n-1, &B_tst[0], ldb ), lapack::Error );
assert_throw( lapack::posv( uplo, n, nrhs, &A_tst[0], lda, &B_tst[0], n-1 ), lapack::Error );
}
// ---------- run test
testsweeper::flush_cache( params.cache() );
double time = testsweeper::get_wtime();
int64_t info_tst = lapack::posv(
uplo, n, nrhs, &A_tst[0], lda, &B_tst[0], ldb );
time = testsweeper::get_wtime() - time;
if (info_tst != 0) {
fprintf( stderr, "lapack::posv returned error %lld\n", llong( info_tst ) );
}
params.time() = time;
double gflop = lapack::Gflop< scalar_t >::posv( n, nrhs );
params.gflops() = gflop / time;
if (verbose >= 2) {
printf( "A_factor = " ); print_matrix( n, n, &A_tst[0], lda );
printf( "X = " ); print_matrix( n, nrhs, &B_tst[0], ldb );
}
if (params.check() == 'y') {
// ---------- check error
// Relative backwards error = ||b - Ax|| / (n * ||A|| * ||x||).
blas::hemm( blas::Layout::ColMajor, blas::Side::Left, uplo,
n, nrhs,
-1.0, &A_ref[0], lda,
&B_tst[0], ldb,
1.0, &B_ref[0], ldb );
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::lanhe( lapack::Norm::One, uplo, n, &A_ref[0], lda );
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_posv(
to_char( uplo ), n, nrhs, &A_ref[0], lda, &B_ref[0], ldb );
time = testsweeper::get_wtime() - time;
if (info_ref != 0) {
fprintf( stderr, "LAPACKE_posv returned error %lld\n", llong( info_ref ) );
}
params.ref_time() = time;
params.ref_gflops() = gflop / time;
if (verbose >= 2) {
printf( "Aref_factor = " ); print_matrix( n, n, &A_ref[0], lda );
printf( "Xref = " ); print_matrix( n, nrhs, &B_ref[0], ldb );
}
}
}
// -----------------------------------------------------------------------------
void test_posv( Params& params, bool run )
{
switch (params.datatype()) {
case testsweeper::DataType::Single:
test_posv_work< float >( params, run );
break;
case testsweeper::DataType::Double:
test_posv_work< double >( params, run );
break;
case testsweeper::DataType::SingleComplex:
test_posv_work< std::complex<float> >( params, run );
break;
case testsweeper::DataType::DoubleComplex:
test_posv_work< std::complex<double> >( params, run );
break;
default:
throw std::runtime_error( "unknown datatype" );
break;
}
}
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