1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
|
// 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_getri_work( Params& params, bool run )
{
using real_t = blas::real_type< scalar_t >;
// get & mark input values
int64_t n = params.dim.n();
int64_t align = params.align();
int64_t verbose = params.verbose();
params.matrix.mark();
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 lda = roundup( blas::max( 1, n ), align );
size_t size_A = (size_t) lda * n;
size_t size_ipiv = (size_t) (n);
std::vector< scalar_t > A_tst( size_A );
std::vector< scalar_t > A_ref( size_A );
std::vector< int64_t > ipiv_tst( size_ipiv );
std::vector< lapack_int > ipiv_ref( size_ipiv );
lapack::generate_matrix( params.matrix, n, n, &A_tst[0], lda );
A_ref = A_tst;
if (verbose >= 1) {
printf( "\n"
"A n=%5lld, lda=%5lld\n",
llong( n ), llong( lda ) );
}
if (verbose >= 2) {
printf( "A = " ); print_matrix( n, n, &A_tst[0], lda );
}
// factor A into LU
int64_t info = lapack::getrf( n, n, &A_tst[0], lda, &ipiv_tst[0] );
if (info != 0) {
fprintf( stderr, "lapack::getrf returned error %lld\n", llong( info ) );
}
// test error exits
if (params.error_exit() == 'y') {
assert_throw( lapack::getri( -1, &A_tst[0], lda, &ipiv_tst[0] ), lapack::Error );
assert_throw( lapack::getri( n, &A_tst[0], n-1, &ipiv_tst[0] ), lapack::Error );
}
// ---------- run test
testsweeper::flush_cache( params.cache() );
double time = testsweeper::get_wtime();
int64_t info_tst = lapack::getri( n, &A_tst[0], lda, &ipiv_tst[0] );
time = testsweeper::get_wtime() - time;
if (info_tst != 0) {
fprintf( stderr, "lapack::getri returned error %lld\n", llong( info_tst ) );
}
params.time() = time;
double gflop = lapack::Gflop< scalar_t >::getri( n );
params.gflops() = gflop / time;
if (verbose >= 2) {
printf( "A2 = " ); print_matrix( n, n, &A_tst[0], lda );
}
if (params.check() == 'y') {
// ---------- check error
// comparing to ref. solution doesn't work due to roundoff errors
// R = I
std::vector< scalar_t > R( size_A );
// todo: laset; needs uplo=general
for (int64_t j = 0; j < n; ++j) {
for (int64_t i = 0; i < n; ++i) {
R[ i + j*lda ] = 0;
}
R[ j + j*lda ] = 1;
}
// R = I - A A^{-1}
blas::gemm( blas::Layout::ColMajor,
blas::Op::NoTrans, blas::Op::NoTrans, n, n, n,
-1.0, &A_ref[0], lda,
&A_tst[0], lda,
1.0, &R[0], lda );
if (verbose >= 2) {
printf( "R = " ); print_matrix( n, n, &R[0], lda );
}
// error = ||I - A A^{-1}|| / (n ||A|| ||A^{-1}||)
real_t Rnorm = lapack::lange( lapack::Norm::Fro, n, n, &R[0], lda );
real_t Anorm = lapack::lange( lapack::Norm::Fro, n, n, &A_ref[0], lda );
real_t Ainv_norm = lapack::lange( lapack::Norm::Fro, n, n, &A_tst[0], lda );
real_t error = Rnorm / (n * Anorm * Ainv_norm);
params.error() = error;
params.okay() = (error < tol);
}
if (params.ref() == 'y') {
// factor A into LU
info = LAPACKE_getrf( n, n, &A_ref[0], lda, &ipiv_ref[0] );
if (info != 0) {
fprintf( stderr, "LAPACKE_getrf returned error %lld\n", llong( info ) );
}
// ---------- run reference
testsweeper::flush_cache( params.cache() );
time = testsweeper::get_wtime();
int64_t info_ref = LAPACKE_getri( n, &A_ref[0], lda, &ipiv_ref[0] );
time = testsweeper::get_wtime() - time;
if (info_ref != 0) {
fprintf( stderr, "LAPACKE_getri returned error %lld\n", llong( info_ref ) );
}
params.ref_time() = time;
params.ref_gflops() = gflop / time;
if (verbose >= 2) {
printf( "A2ref = " ); print_matrix( n, n, &A_ref[0], lda );
}
}
}
// -----------------------------------------------------------------------------
void test_getri( Params& params, bool run )
{
switch (params.datatype()) {
case testsweeper::DataType::Single:
test_getri_work< float >( params, run );
break;
case testsweeper::DataType::Double:
test_getri_work< double >( params, run );
break;
case testsweeper::DataType::SingleComplex:
test_getri_work< std::complex<float> >( params, run );
break;
case testsweeper::DataType::DoubleComplex:
test_getri_work< std::complex<double> >( params, run );
break;
default:
throw std::runtime_error( "unknown datatype" );
break;
}
}
|
