1
2#include <iostream>
3#include <boost/numeric/ublas/banded.hpp>
4#include <boost/numeric/ublas/io.hpp>
5#include <boost/numeric/ublas/operation.hpp>
6#include <iomanip>
7
8#include "utils.hpp"
9
10using namespace boost::numeric::ublas;
11
12int expected_index( size_t index, column_major ) {
13 // this is the data shown on http://www.netlib.org/lapack/lug/node124.html
14 // read column-by-column, aka column_major
15 int mapping[] = { 0, 11, 21, 31, 12, 22, 32, 42, 23, 33, 43, 53, 34, 44, 54, 0, 45, 55, 0, 0 };
16 return mapping[ index ];
17}
18
19
20int expected_index( size_t index, row_major ) {
21 // this is the data shown on http://www.netlib.org/lapack/lug/node124.html
22 // read row-by-row, aka row_major
23 int mapping[] = { 0, 0, 11, 12, 0, 21, 22, 23, 31, 32, 33, 34, 42, 43, 44, 45, 53, 54, 55, 0 };
24 return mapping[ index ];
25}
26
27int expected_index_6_by_5( size_t index, column_major ) {
28 // read column-by-column, aka column_major
29 int mapping[] = { 0, 11, 21, 31, 12, 22, 32, 42, 23, 33, 43, 53, 34, 44, 54, 64, 45, 55, 65, 0 };
30 return mapping[ index ];
31}
32
33int expected_index_6_by_5( size_t index, row_major ) {
34 // read row-by-row, aka row_major
35 int mapping[] = { 0, 0, 11, 12, 0, 21, 22, 23, 31, 32, 33, 34, 42, 43, 44, 45, 53, 54, 55, 0, 64, 65, 0, 0 };
36 return mapping[ index ];
37}
38
39int expected_index_5_by_6( size_t index, column_major ) {
40 // read column-by-column, aka column_major
41 int mapping[] = { 0, 11, 21, 31, 12, 22, 32, 42, 23, 33, 43, 53, 34, 44, 54, 0, 45, 55, 0, 0, 56, 0, 0, 0 };
42 return mapping[ index ];
43}
44
45int expected_index_5_by_6( size_t index, row_major ) {
46 // read row-by-row, aka row_major
47 int mapping[] = { 0, 0, 11, 12, 0, 21, 22, 23, 31, 32, 33, 34, 42, 43, 44, 45, 53, 54, 55, 56};
48 return mapping[ index ];
49}
50
51template< typename Orientation >
52bool test_band_storage() {
53
54 int m = 5;
55 int n = 5;
56 int kl = 2;
57 int ku = 1;
58
59 banded_matrix< int, Orientation > test_matrix( m, n, kl, ku );
60 test_matrix.clear();
61 size_t band_storage_size = test_matrix.data().size();
62
63 test_matrix( 0, 0 ) = 11;
64 test_matrix( 0, 1 ) = 12;
65 test_matrix( 1, 0 ) = 21;
66 test_matrix( 1, 1 ) = 22;
67 test_matrix( 1, 2 ) = 23;
68 test_matrix( 2, 0 ) = 31;
69 test_matrix( 2, 1 ) = 32;
70 test_matrix( 2, 2 ) = 33;
71 test_matrix( 2, 3 ) = 34;
72 test_matrix( 3, 1 ) = 42;
73 test_matrix( 3, 2 ) = 43;
74 test_matrix( 3, 3 ) = 44;
75 test_matrix( 3, 4 ) = 45;
76 test_matrix( 4, 2 ) = 53;
77 test_matrix( 4, 3 ) = 54;
78 test_matrix( 4, 4 ) = 55;
79
80 BOOST_UBLAS_TEST_TRACE( "Full matrix" );
81 BOOST_UBLAS_TEST_TRACE( std::setw( 3 ) << test_matrix );
82
83 BOOST_UBLAS_TEST_TRACE( "data() of matrix" );
84 for ( size_t i = 0; i < band_storage_size; ++i ) {
85 std::cerr << test_matrix.data()[ i ] << " ";
86 }
87 std::cerr << std::endl;
88
89 BOOST_UBLAS_TEST_TRACE( "Expected data() of matrix" );
90 for ( size_t i = 0; i < band_storage_size; ++i ) {
91 std::cerr << expected_index( i, Orientation() ) << " ";
92 }
93 std::cerr << std::endl;
94
95 size_t mismatch = 0;
96
97 for ( size_t i = 0; i < band_storage_size; ++i ) {
98 if ( test_matrix.data()[ i ] != expected_index( i, Orientation() ) ) {
99 ++mismatch;
100 }
101 }
102
103 return 0 == mismatch;
104}
105
106template< typename Orientation >
107bool test_band_storage_6_by_5() {
108
109 int m = 6;
110 int n = 5;
111 int kl = 2;
112 int ku = 1;
113
114
115 banded_matrix< int, Orientation > test_matrix( m, n, kl, ku );
116 test_matrix.clear();
117 size_t band_storage_size = test_matrix.data().size();
118
119 test_matrix( 0, 0 ) = 11;
120 test_matrix( 0, 1 ) = 12;
121 test_matrix( 1, 0 ) = 21;
122 test_matrix( 1, 1 ) = 22;
123 test_matrix( 1, 2 ) = 23;
124 test_matrix( 2, 0 ) = 31;
125 test_matrix( 2, 1 ) = 32;
126 test_matrix( 2, 2 ) = 33;
127 test_matrix( 2, 3 ) = 34;
128 test_matrix( 3, 1 ) = 42;
129 test_matrix( 3, 2 ) = 43;
130 test_matrix( 3, 3 ) = 44;
131 test_matrix( 3, 4 ) = 45;
132 test_matrix( 4, 2 ) = 53;
133 test_matrix( 4, 3 ) = 54;
134 test_matrix( 4, 4 ) = 55;
135 test_matrix( 5, 3 ) = 64;
136 test_matrix( 5, 4 ) = 65;
137
138 BOOST_UBLAS_TEST_TRACE( "Full matrix" );
139 BOOST_UBLAS_TEST_TRACE( std::setw( 3 ) << test_matrix );
140
141 BOOST_UBLAS_TEST_TRACE( "data() of matrix" );
142 for ( size_t i = 0; i < band_storage_size; ++i ) {
143 std::cerr << test_matrix.data()[ i ] << " ";
144 }
145 std::cerr << std::endl;
146
147 BOOST_UBLAS_TEST_TRACE( "Expected data() of matrix" );
148 for ( size_t i = 0; i < band_storage_size; ++i ) {
149 std::cerr << expected_index_6_by_5( i, Orientation() ) << " ";
150 }
151 std::cerr << std::endl;
152
153 size_t mismatch = 0;
154
155 for ( size_t i = 0; i < band_storage_size; ++i ) {
156 if ( test_matrix.data()[ i ] != expected_index_6_by_5( i, Orientation() ) ) {
157 ++mismatch;
158 }
159 }
160
161 return 0 == mismatch;
162}
163
164template< typename Orientation >
165bool test_band_storage_5_by_6() {
166
167 int m = 5;
168 int n = 6;
169 int kl = 2;
170 int ku = 1;
171
172 banded_matrix< int, Orientation > test_matrix( m, n, kl, ku );
173 test_matrix.clear();
174 size_t band_storage_size = test_matrix.data().size();
175
176 test_matrix( 0, 0 ) = 11;
177 test_matrix( 0, 1 ) = 12;
178 test_matrix( 1, 0 ) = 21;
179 test_matrix( 1, 1 ) = 22;
180 test_matrix( 1, 2 ) = 23;
181 test_matrix( 2, 0 ) = 31;
182 test_matrix( 2, 1 ) = 32;
183 test_matrix( 2, 2 ) = 33;
184 test_matrix( 2, 3 ) = 34;
185 test_matrix( 3, 1 ) = 42;
186 test_matrix( 3, 2 ) = 43;
187 test_matrix( 3, 3 ) = 44;
188 test_matrix( 3, 4 ) = 45;
189 test_matrix( 4, 2 ) = 53;
190 test_matrix( 4, 3 ) = 54;
191 test_matrix( 4, 4 ) = 55;
192 test_matrix( 4, 5 ) = 56;
193
194 BOOST_UBLAS_TEST_TRACE( "Full matrix" );
195 BOOST_UBLAS_TEST_TRACE( std::setw( 3 ) << test_matrix );
196
197 BOOST_UBLAS_TEST_TRACE( "data() of matrix" );
198 for ( size_t i = 0; i < band_storage_size; ++i ) {
199 std::cerr << test_matrix.data()[ i ] << " ";
200 }
201 std::cerr << std::endl;
202
203 BOOST_UBLAS_TEST_TRACE( "Expected data() of matrix" );
204 for ( size_t i = 0; i < band_storage_size; ++i ) {
205 std::cerr << expected_index_5_by_6( i, Orientation() ) << " ";
206 }
207 std::cerr << std::endl;
208
209 size_t mismatch = 0;
210
211 for ( size_t i = 0; i < band_storage_size; ++i ) {
212 if ( test_matrix.data()[ i ] != expected_index_5_by_6( i, Orientation() ) ) {
213 ++mismatch;
214 }
215 }
216
217 return 0 == mismatch;
218}
219
220
221
222
223BOOST_UBLAS_TEST_DEF( banded_matrix_column_major )
224{
225 BOOST_UBLAS_TEST_TRACE( "Test case: storage layout banded_matrix < column_major >" );
226
227 BOOST_UBLAS_TEST_CHECK( test_band_storage< column_major >() );
228}
229
230BOOST_UBLAS_TEST_DEF( banded_matrix_row_major )
231{
232 BOOST_UBLAS_TEST_TRACE( "Test case: storage layout banded_matrix < row_major >" );
233
234 BOOST_UBLAS_TEST_CHECK( test_band_storage< row_major >() );
235}
236
237BOOST_UBLAS_TEST_DEF( banded_matrix_column_major_6_by_5 )
238{
239 BOOST_UBLAS_TEST_TRACE( "Test case: storage layout banded_matrix < column_major > 6x5" );
240
241 BOOST_UBLAS_TEST_CHECK( test_band_storage_6_by_5< column_major >() );
242}
243
244BOOST_UBLAS_TEST_DEF( banded_matrix_row_major_6_by_5 )
245{
246 BOOST_UBLAS_TEST_TRACE( "Test case: storage layout banded_matrix < row_major > 6x5" );
247
248 BOOST_UBLAS_TEST_CHECK( test_band_storage_6_by_5< row_major >() );
249}
250
251BOOST_UBLAS_TEST_DEF( banded_matrix_column_major_5_by_6 )
252{
253 BOOST_UBLAS_TEST_TRACE( "Test case: storage layout banded_matrix < column_major > 5x6" );
254
255 BOOST_UBLAS_TEST_CHECK( test_band_storage_5_by_6< column_major >() );
256}
257
258BOOST_UBLAS_TEST_DEF( banded_matrix_row_major_5_by_6 )
259{
260 BOOST_UBLAS_TEST_TRACE( "Test case: storage layout banded_matrix < row_major > 5x6" );
261
262 BOOST_UBLAS_TEST_CHECK( test_band_storage_5_by_6< row_major >() );
263}
264
265int main()
266{
267
268 BOOST_UBLAS_TEST_SUITE( "Test storage layout of banded matrix type" );
269
270 BOOST_UBLAS_TEST_TRACE( "Example data taken from http://www.netlib.org/lapack/lug/node124.html" );
271
272 BOOST_UBLAS_TEST_BEGIN();
273
274 BOOST_UBLAS_TEST_DO( banded_matrix_column_major );
275
276 BOOST_UBLAS_TEST_DO( banded_matrix_row_major );
277
278 BOOST_UBLAS_TEST_DO( banded_matrix_column_major_6_by_5 );
279
280 BOOST_UBLAS_TEST_DO( banded_matrix_row_major_6_by_5 );
281
282 BOOST_UBLAS_TEST_DO( banded_matrix_column_major_5_by_6 );
283
284 BOOST_UBLAS_TEST_DO( banded_matrix_row_major_5_by_6 );
285
286 BOOST_UBLAS_TEST_END();
287}
288

source code of boost/libs/numeric/ublas/test/test_banded_storage_layout.cpp