LAPACK  3.9.0
LAPACK: Linear Algebra PACKage
lapacke_ztf_nancheck.c
Go to the documentation of this file.
1 /*****************************************************************************
2  Copyright (c) 2014, Intel Corp.
3  All rights reserved.
4 
5  Redistribution and use in source and binary forms, with or without
6  modification, are permitted provided that the following conditions are met:
7 
8  * Redistributions of source code must retain the above copyright notice,
9  this list of conditions and the following disclaimer.
10  * Redistributions in binary form must reproduce the above copyright
11  notice, this list of conditions and the following disclaimer in the
12  documentation and/or other materials provided with the distribution.
13  * Neither the name of Intel Corporation nor the names of its contributors
14  may be used to endorse or promote products derived from this software
15  without specific prior written permission.
16 
17  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
18  AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
19  IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
20  ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
21  LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
22  CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
23  SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
24  INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
25  CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
26  ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
27  THE POSSIBILITY OF SUCH DAMAGE.
28 ******************************************************************************
29 * Contents: Native C interface to LAPACK utility function
30 * Author: Intel Corporation
31 * Created in February, 2010
32 *****************************************************************************/
33 #include "lapacke_utils.h"
34 
35 /* Check a matrix for NaN entries. */
36 
37 lapack_logical LAPACKE_ztf_nancheck( int matrix_layout, char transr,
38  char uplo, char diag,
39  lapack_int n,
40  const lapack_complex_double *a )
41 {
42  lapack_int len;
43  lapack_logical rowmaj, ntr, lower, unit;
44  lapack_int n1, n2, k;
45 
46  if( a == NULL ) return (lapack_logical) 0;
47 
48  rowmaj = (matrix_layout == LAPACK_ROW_MAJOR);
49  ntr = LAPACKE_lsame( transr, 'n' );
50  lower = LAPACKE_lsame( uplo, 'l' );
51  unit = LAPACKE_lsame( diag, 'u' );
52 
53  if( ( !rowmaj && ( matrix_layout != LAPACK_COL_MAJOR ) ) ||
54  ( !ntr && !LAPACKE_lsame( transr, 't' )
55  && !LAPACKE_lsame( transr, 'c' ) ) ||
56  ( !lower && !LAPACKE_lsame( uplo, 'u' ) ) ||
57  ( !unit && !LAPACKE_lsame( diag, 'n' ) ) ) {
58  /* Just exit if any of input parameters are wrong */
59  return (lapack_logical) 0;
60  }
61 
62  if( unit ) {
63  /* Unit case, diagonal should be excluded from the check for NaN.
64  * Decoding RFP and checking both triangulars and rectangular
65  * for NaNs.
66  */
67  if( lower ) {
68  n2 = n / 2;
69  n1 = n - n2;
70  } else {
71  n1 = n / 2;
72  n2 = n - n1;
73  }
74  if( n % 2 == 1 ) {
75  /* N is odd */
76  if( ( rowmaj || ntr ) && !( rowmaj && ntr ) ) {
77  /* N is odd and ( TRANSR = 'N' .XOR. ROWMAJOR) */
78  if( lower ) {
79  return LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
80  n1, &a[0], n )
81  || LAPACKE_zge_nancheck( LAPACK_ROW_MAJOR, n2, n1,
82  &a[n1], n )
83  || LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
84  n2, &a[n], n );
85  } else {
86  return LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
87  n1, &a[n2], n )
88  || LAPACKE_zge_nancheck( LAPACK_ROW_MAJOR, n1, n2,
89  &a[0], n )
90  || LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
91  n2, &a[n1], n );
92  }
93  } else {
94  /* N is odd and
95  * ( ( TRANSR = 'C' || TRANSR = 'T' ) .XOR. COLMAJOR )
96  */
97  if( lower ) {
98  return LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
99  n1, &a[0], n1 )
100  || LAPACKE_zge_nancheck( LAPACK_ROW_MAJOR, n1, n2,
101  &a[1], n1 )
102  || LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
103  n2, &a[1], n1 );
104  } else {
105  return LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
106  n1, &a[(size_t)n2*n2], n2 )
107  || LAPACKE_zge_nancheck( LAPACK_ROW_MAJOR, n2, n1,
108  &a[0], n2 )
109  || LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
110  n2, &a[(size_t)n1*n2], n2 );
111  }
112  }
113  } else {
114  /* N is even */
115  k = n / 2;
116  if( ( rowmaj || ntr ) && !( rowmaj && ntr ) ) {
117  /* N is even and ( TRANSR = 'N' .XOR. ROWMAJOR) */
118  if( lower ) {
119  return LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
120  k, &a[1], n+1 )
121  || LAPACKE_zge_nancheck( LAPACK_ROW_MAJOR, k, k,
122  &a[k+1], n+1 )
123  || LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
124  k, &a[0], n+1 );
125  } else {
126  return LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
127  k, &a[k+1], n+1 )
128  || LAPACKE_zge_nancheck( LAPACK_ROW_MAJOR, k, k,
129  &a[0], n+1 )
130  || LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
131  k, &a[k], n+1 );
132  }
133  } else {
134  /* N is even and
135  ( ( TRANSR = 'C' || TRANSR = 'T' ) .XOR. COLMAJOR ) */
136  if( lower ) {
137  return LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
138  k, &a[k], k )
139  || LAPACKE_zge_nancheck( LAPACK_ROW_MAJOR, k, k,
140  &a[(size_t)k*(k+1)], k )
141  || LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
142  k, &a[0], k );
143  } else {
144  return LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
145  k, &a[(size_t)k*(k+1)], k )
146  || LAPACKE_zge_nancheck( LAPACK_ROW_MAJOR, k, k,
147  &a[0], k )
148  || LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
149  k, &a[(size_t)k*k], k );
150  }
151  }
152  }
153  } else {
154  /* Non-unit case - just check whole array for NaNs. */
155  len = n*(n+1)/2;
156  return LAPACKE_zge_nancheck( LAPACK_COL_MAJOR, len, 1, a, len );
157  }
158 }
LAPACKE_ztf_nancheck
lapack_logical LAPACKE_ztf_nancheck(int matrix_layout, char transr, char uplo, char diag, lapack_int n, const lapack_complex_double *a)
Definition: lapacke_ztf_nancheck.c:36
lapack_int
#define lapack_int
Definition: lapack.h:21
lapacke_utils.h
lapack_logical
#define lapack_logical
Definition: lapack.h:25
LAPACKE_ztr_nancheck
lapack_logical LAPACKE_ztr_nancheck(int matrix_layout, char uplo, char diag, lapack_int n, const lapack_complex_double *a, lapack_int lda)
Definition: lapacke_ztr_nancheck.c:36
lapack_complex_double
#define lapack_complex_double
Definition: lapack.h:70
LAPACKE_zge_nancheck
lapack_logical LAPACKE_zge_nancheck(int matrix_layout, lapack_int m, lapack_int n, const lapack_complex_double *a, lapack_int lda)
Definition: lapacke_zge_nancheck.c:36
LAPACKE_lsame
lapack_logical LAPACKE_lsame(char ca, char cb)
Definition: lapacke_lsame.c:35
LAPACK_ROW_MAJOR
#define LAPACK_ROW_MAJOR
Definition: lapacke.h:53
LAPACK_COL_MAJOR
#define LAPACK_COL_MAJOR
Definition: lapacke.h:54