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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"
// -----------------------------------------------------------------------------
// TX is data [x, y]
// TS is for sine, which can be real (zdrot) or complex (zrot)
// cosine is always real
template <typename TX, typename TS>
void test_rot_work( Params& params, bool run )
{
using namespace testsweeper;
using std::real;
using std::imag;
using blas::conj;
using real_t = blas::real_type< TX >;
// get & mark input values
int64_t n = params.dim.n();
int64_t incx = params.incx();
int64_t incy = params.incy();
int64_t verbose = params.verbose();
// mark non-standard output values
params.gflops();
params.gbytes();
params.ref_time();
params.ref_gflops();
params.ref_gbytes();
// adjust header to msec
params.time.name( "time (ms)" );
params.ref_time.name( "ref time (ms)" );
params.ref_time.width( 13 );
if (! run)
return;
// setup
size_t size_x = (n - 1) * std::abs(incx) + 1;
size_t size_y = (n - 1) * std::abs(incy) + 1;
TX* x = new TX[ size_x ];
TX* xref = new TX[ size_x ];
TX* y = new TX[ size_y ];
TX* yref = new TX[ size_y ];
// When TX is complex, TS can be real or complex.
TS s, data[ 2 ];
real_t c; // real
int64_t idist = 2;
int iseed[4] = { 0, 0, 0, 1 };
lapack_larnv( idist, iseed, size_x, x );
lapack_larnv( idist, iseed, size_y, y );
cblas_copy( n, x, incx, xref, incx );
cblas_copy( n, y, incy, yref, incy );
// Compute [c, s] to eliminate data[1].
lapack_larnv( idist, iseed, 2, data );
blas::rotg( &data[0], &data[0], &c, &s );
// norms for error check
real_t Xnorm = cblas_nrm2( n, x, std::abs(incx) );
real_t Ynorm = cblas_nrm2( n, y, std::abs(incy) );
real_t Anorm = sqrt( Xnorm*Xnorm + Ynorm*Ynorm ); // || [x y] ||_F
// test error exits
assert_throw( blas::rot( -1, x, incx, y, incy, c, s ), blas::Error );
assert_throw( blas::rot( n, x, 0, y, incy, c, s ), blas::Error );
assert_throw( blas::rot( n, x, incx, y, 0, c, s ), blas::Error );
if (verbose >= 1) {
printf( "\n"
"s = %.4f + %.4fi, c = %.4f, s^2 + c^2 = %.4f\n"
"x n=%5lld, inc=%5lld, size=%10lld\n"
"y n=%5lld, inc=%5lld, size=%10lld\n",
real( s ), imag( s ), c, real( s*conj(s) ) + c*c,
llong( n ), llong( incx ), llong( size_x ),
llong( n ), llong( incy ), llong( size_y ) );
}
if (verbose >= 2) {
printf( "x = " ); print_vector( n, x, incx );
printf( "y = " ); print_vector( n, y, incy );
}
// run test
testsweeper::flush_cache( params.cache() );
double time = get_wtime();
blas::rot( n, x, incx, y, incy, c, s );
time = get_wtime() - time;
double gflop = blas::Gflop< TX >::dot( n );
double gbyte = blas::Gbyte< TX >::dot( n );
params.time() = time * 1000; // msec
params.gflops() = gflop / time;
params.gbytes() = gbyte / time;
if (verbose >= 1) {
printf( "x2 = " ); print_vector( n, x, incx );
printf( "y2 = " ); print_vector( n, y, incy );
}
if (params.ref() == 'y' || params.check() == 'y') {
// run reference
testsweeper::flush_cache( params.cache() );
time = get_wtime();
cblas_rot( n, xref, incx, yref, incy, c, s );
time = get_wtime() - time;
params.ref_time() = time * 1000; // msec
params.ref_gflops() = gflop / time;
params.ref_gbytes() = gbyte / time;
if (verbose >= 1) {
printf( "xref = " ); print_vector( n, xref, incx );
printf( "yref = " ); print_vector( n, yref, incy );
}
// check error compared to reference
// C = [x y] * R for n x 2 matrix C and 2 x 2 rotation R
// alpha=1, beta=0, C0norm=0
TX* C = new TX[ 2*n ];
TX* Cref = new TX[ 2*n ];
blas::copy( n, x, incx, &C[0], 1 );
blas::copy( n, y, incy, &C[n], 1 );
blas::copy( n, xref, incx, &Cref[0], 1 );
blas::copy( n, yref, incy, &Cref[n], 1 );
real_t Rnorm = sqrt(2); // ||R||_F
real_t error;
bool okay;
check_gemm( n, 2, 2, TX(1), TX(0), Anorm, Rnorm, real_t(0),
Cref, n, C, n, verbose, &error, &okay );
params.error() = error;
params.okay() = okay;
delete[] C;
delete[] Cref;
}
delete[] x;
delete[] y;
delete[] xref;
delete[] yref;
}
// -----------------------------------------------------------------------------
void test_rot( Params& params, bool run )
{
switch (params.datatype()) {
case testsweeper::DataType::Single:
test_rot_work< float, float >( params, run );
break;
case testsweeper::DataType::Double:
test_rot_work< double, double >( params, run );
break;
case testsweeper::DataType::SingleComplex:
test_rot_work< std::complex<float>, std::complex<float> >( params, run );
break;
case testsweeper::DataType::DoubleComplex:
test_rot_work< std::complex<double>, std::complex<double> >( params, run );
break;
// todo: real sine
// todo: complex sine
default:
throw std::exception();
break;
}
}
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