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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_gerqf_work( Params& params, bool run )
{
using real_t = blas::real_type< scalar_t >;
// get & mark input values
int64_t m = params.dim.m();
int64_t n = params.dim.n();
int64_t align = params.align();
params.matrix.mark();
real_t eps = std::numeric_limits< real_t >::epsilon();
real_t tol = params.tol() * eps;
// mark non-standard output values
params.ortho();
params.time();
params.gflops();
params.ref_time();
params.ref_gflops();
if (! run)
return;
// ---------- setup
int64_t lda = roundup( blas::max( 1, m ), align );
size_t size_A = (size_t) lda * n;
size_t size_tau = (size_t) ( blas::min( m, n ) );
std::vector< scalar_t > A_tst( size_A );
std::vector< scalar_t > A_ref( size_A );
std::vector< scalar_t > tau_tst( size_tau );
std::vector< scalar_t > tau_ref( size_tau );
lapack::generate_matrix( params.matrix, m, n, &A_tst[0], lda );
A_ref = A_tst;
// ---------- run test
testsweeper::flush_cache( params.cache() );
double time = testsweeper::get_wtime();
int64_t info_tst = lapack::gerqf( m, n, &A_tst[0], lda, &tau_tst[0] );
time = testsweeper::get_wtime() - time;
if (info_tst != 0) {
fprintf( stderr, "lapack::gerqf returned error %lld\n", llong( info_tst ) );
}
params.time() = time;
double gflop = lapack::Gflop< scalar_t >::gerqf( m, n );
params.gflops() = gflop / time;
if (params.check() == 'y') {
// ---------- check error
// comparing to ref. solution doesn't work
// Following lapack/TESTING/LIN/crqt01.f
int64_t minmn = blas::min( m, n );
int64_t maxmn = blas::max( m, n );
int64_t m_n = m - n;
int64_t n_m = n - m;
int64_t ldq = maxmn;
std::vector< scalar_t > Q( ldq * n ); // n-by-n orthogonal matrix Q.
int64_t ldr = maxmn;
std::vector< scalar_t > R( ldr * maxmn );
// Copy details of Q
lapack::laset( lapack::MatrixType::General, n, n, -10000000000, -1000000000, &Q[0], ldq );
if (m <= n) {
if (m < n)
lapack::lacpy( lapack::MatrixType::General, m, n_m, &A_tst[0], lda, &Q[n_m], ldq );
lapack::lacpy( lapack::MatrixType::Lower, m-1, m-1, &A_tst[1+(n_m*lda)], lda, &Q[n_m+1+(n_m*ldq)], ldq );
}
else {
lapack::lacpy( lapack::MatrixType::Lower, n-1, n-1, &A_tst[m_n+1], lda, &Q[1], ldq );
}
// Generate the n-by-n matrix Q
int64_t info_ungrq = lapack::ungrq( n, n, minmn, &Q[0], ldq, &tau_tst[0] );
if (info_ungrq != 0) {
fprintf( stderr, "lapack::ungqr returned error %lld\n", llong( info_ungrq ) );
}
// Copy R
lapack::laset( lapack::MatrixType::General, m, n, 0, 0, &R[0], ldr );
if (m <= n) {
lapack::lacpy( lapack::MatrixType::Upper, m, m, &A_tst[n_m*lda], lda, &R[n_m*ldr], ldr );
}
else {
lapack::lacpy( lapack::MatrixType::General, m_n, n, &A_tst[0], lda, &R[0], ldr );
lapack::lacpy( lapack::MatrixType::Upper, n, n, &A_tst[m_n], lda, &R[m_n], ldr );
}
// Compute R - A*Q'
blas::gemm( blas::Layout::ColMajor,
blas::Op::NoTrans, blas::Op::ConjTrans, m, n, n,
-1.0, &A_ref[0], lda, &Q[0], ldq, 1.0, &R[0], ldr );
// error = || L - Q^H*A || / (N * ||A||)
real_t Anorm = lapack::lange( lapack::Norm::One, m, n, &A_ref[0], lda );
real_t resid1 = lapack::lange( lapack::Norm::One, m, n, &R[0], ldr );
real_t error1 = 0;
if (Anorm > 0)
error1 = resid1 / ( n * Anorm );
// Compute I - Q*Q'
lapack::laset( lapack::MatrixType::General, n, n, 0.0, 1.0, &R[0], ldr );
blas::herk( blas::Layout::ColMajor, blas::Uplo::Upper, blas::Op::NoTrans,
n, n, -1.0, &Q[0], ldq, 1.0, &R[0], ldr );
// error = || I - Q^H*Q || / N
real_t resid2 = lapack::lanhe( lapack::Norm::One, lapack::Uplo::Upper, n, &R[0], ldr );
real_t error2 = ( resid2 / n );
params.error() = error1;
params.ortho() = error2;
params.okay() = (error1 < tol) && (error2 < tol);
}
if (params.ref() == 'y') {
// ---------- run reference
testsweeper::flush_cache( params.cache() );
time = testsweeper::get_wtime();
int64_t info_ref = LAPACKE_gerqf( m, n, &A_ref[0], lda, &tau_ref[0] );
time = testsweeper::get_wtime() - time;
if (info_ref != 0) {
fprintf( stderr, "LAPACKE_gerqf returned error %lld\n", llong( info_ref ) );
}
params.ref_time() = time;
params.ref_gflops() = gflop / time;
}
}
// -----------------------------------------------------------------------------
void test_gerqf( Params& params, bool run )
{
switch (params.datatype()) {
case testsweeper::DataType::Single:
test_gerqf_work< float >( params, run );
break;
case testsweeper::DataType::Double:
test_gerqf_work< double >( params, run );
break;
case testsweeper::DataType::SingleComplex:
test_gerqf_work< std::complex<float> >( params, run );
break;
case testsweeper::DataType::DoubleComplex:
test_gerqf_work< std::complex<double> >( params, run );
break;
default:
throw std::runtime_error( "unknown datatype" );
break;
}
}
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