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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_gesvx_work( Params& params, bool run )
{
using real_t = blas::real_type< scalar_t >;
// Constants
const scalar_t one = 1.0;
const real_t eps = std::numeric_limits< real_t >::epsilon();
// get & mark input values
lapack::Factored fact = params.factored();
lapack::Op trans = params.trans();
//lapack::Equed equed = params.equed(); // todo: pre or post multiply A
int64_t n = params.dim.n();
int64_t nrhs = params.nrhs();
int64_t align = params.align();
int64_t verbose = params.verbose();
real_t tol = params.tol() * eps;
params.matrix.mark();
// mark non-standard output values
params.ref_time();
params.ref_gflops();
params.gflops();
if (! run)
return;
// ---------- setup
int64_t lda = roundup( blas::max( 1, n ), align );
int64_t ldaf = roundup( blas::max( 1, n ), align );
int64_t ldb = roundup( blas::max( 1, n ), align );
int64_t ldx = roundup( blas::max( 1, n ), align );
real_t rcond_tst = 0;
real_t rcond_ref = 0;
real_t rpivot_tst = 0;
real_t rpivot_ref = 0;
// equed is input if fact = 'f'; otherwise it is output.
lapack::Equed equed_tst = lapack::Equed::None;
lapack::Equed equed_ref = lapack::Equed::None;
size_t size_A = (size_t) lda * n;
size_t size_AF = (size_t) ldaf * n;
size_t size_ipiv = (size_t) (n);
size_t size_R = (size_t) (n);
size_t size_C = (size_t) (n);
size_t size_B = (size_t) ldb * nrhs;
size_t size_X = (size_t) ldx * nrhs;
size_t size_ferr = (size_t) (nrhs);
size_t size_berr = (size_t) (nrhs);
std::vector< scalar_t > A_tst( size_A );
std::vector< scalar_t > A_ref( size_A );
std::vector< scalar_t > AF_tst( size_AF );
std::vector< scalar_t > AF_ref( size_AF );
std::vector< int64_t > ipiv_tst( size_ipiv );
std::vector< lapack_int > ipiv_ref( size_ipiv );
std::vector< real_t > R_tst( size_R );
std::vector< real_t > R_ref( size_R );
std::vector< real_t > C_tst( size_C );
std::vector< real_t > C_ref( size_C );
std::vector< scalar_t > B_tst( size_B );
std::vector< scalar_t > B_ref( size_B );
std::vector< scalar_t > X_tst( size_X );
std::vector< scalar_t > X_ref( size_X );
std::vector< real_t > ferr_tst( size_ferr );
std::vector< real_t > ferr_ref( size_ferr );
std::vector< real_t > berr_tst( size_berr );
std::vector< real_t > berr_ref( size_berr );
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, R_tst.size(), &R_tst[0] );
lapack::larnv( idist, iseed, C_tst.size(), &C_tst[0] );
lapack::larnv( idist, iseed, B_tst.size(), &B_tst[0] );
// Factor A using copy AF to initialize ipiv_tst and ipiv_ref and AF
AF_tst = A_tst;
int64_t info_trf = lapack::getrf( n, n, &AF_tst[0], lda, &ipiv_tst[0] );
if (info_trf != 0) {
fprintf( stderr, "lapack::getrf returned error %lld\n", llong( info_trf ) );
}
std::copy( ipiv_tst.begin(), ipiv_tst.end(), ipiv_ref.begin() );
A_ref = A_tst;
AF_ref = AF_tst;
R_ref = R_tst;
C_ref = C_tst;
B_ref = B_tst;
// ---------- run test
testsweeper::flush_cache( params.cache() );
double time = testsweeper::get_wtime();
int64_t info_tst = lapack::gesvx(
fact, trans, n, nrhs,
&A_tst[0], lda,
&AF_tst[0], ldaf, &ipiv_tst[0],
&equed_tst, &R_tst[0], &C_tst[0],
&B_tst[0], ldb, &X_tst[0], ldx,
&rcond_tst, &ferr_tst[0], &berr_tst[0], &rpivot_tst );
time = testsweeper::get_wtime() - time;
if (info_tst != 0) {
fprintf( stderr, "lapack::gesvx returned error %lld\n", llong( info_tst ) );
}
params.time() = time;
// todo: gflop isn't right if already factored (fact = 'f').
double gflop = lapack::Gflop< scalar_t >::gesv( n, nrhs );
params.gflops() = gflop / time;
if (params.check() == 'y') {
// ---------- check error
// Relative backwards error = ||b - Ax|| / (n * ||A|| * ||x||).
B_tst = B_ref; // equed may have modified B.
blas::gemm( blas::Layout::ColMajor, trans, blas::Op::NoTrans,
n, nrhs, n,
-one, &A_ref[0], lda,
&X_tst[0], ldb,
one, &B_tst[0], ldb );
if (verbose >= 2) {
printf( "R = " );
print_matrix( n, nrhs, &B_tst[0], ldb );
}
real_t error = lapack::lange( lapack::Norm::One, n, nrhs, &B_tst[0], ldb );
real_t Xnorm = lapack::lange( lapack::Norm::One, n, nrhs, &X_tst[0], ldb );
real_t Anorm = lapack::lange( lapack::Norm::One, n, 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() );
char equed_ref_char = to_char( equed_ref );
time = testsweeper::get_wtime();
int64_t info_ref = LAPACKE_gesvx(
to_char( fact ), to_char( trans ), n, nrhs,
&A_ref[0], lda,
&AF_ref[0], ldaf, &ipiv_ref[0],
&equed_ref_char, &R_ref[0], &C_ref[0],
&B_ref[0], ldb, &X_ref[0], ldx,
&rcond_ref, &ferr_ref[0], &berr_ref[0], &rpivot_ref );
time = testsweeper::get_wtime() - time;
if (info_ref != 0) {
fprintf( stderr, "LAPACKE_gesvx returned error %lld\n", llong( info_ref ) );
}
params.ref_time() = time;
params.ref_gflops() = gflop / time;
}
}
// -----------------------------------------------------------------------------
void test_gesvx( Params& params, bool run )
{
switch (params.datatype()) {
case testsweeper::DataType::Single:
test_gesvx_work< float >( params, run );
break;
case testsweeper::DataType::Double:
test_gesvx_work< double >( params, run );
break;
case testsweeper::DataType::SingleComplex:
test_gesvx_work< std::complex<float> >( params, run );
break;
case testsweeper::DataType::DoubleComplex:
test_gesvx_work< std::complex<double> >( params, run );
break;
default:
throw std::runtime_error( "unknown datatype" );
break;
}
}
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