LAPACK  3.6.1
LAPACK: Linear Algebra PACKage
lapacke_dtf_nancheck.c
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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_dtf_nancheck( int matrix_layout, char transr,
38  char uplo, char diag,
39  lapack_int n,
40  const 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_dtr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
80  n1, &a[0], n )
81  || LAPACKE_dge_nancheck( LAPACK_ROW_MAJOR, n2, n1,
82  &a[n1], n )
83  || LAPACKE_dtr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
84  n2, &a[n], n );
85  } else {
86  return LAPACKE_dtr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
87  n1, &a[n2], n )
88  || LAPACKE_dge_nancheck( LAPACK_ROW_MAJOR, n1, n2,
89  &a[0], n )
90  || LAPACKE_dtr_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  if( lower ) {
97  return LAPACKE_dtr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
98  n1, &a[0], n1 )
99  || LAPACKE_dge_nancheck( LAPACK_ROW_MAJOR, n1, n2,
100  &a[1], n1 )
101  || LAPACKE_dtr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
102  n2, &a[1], n1 );
103  } else {
104  return LAPACKE_dtr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
105  n1, &a[(size_t)n2*n2], n2 )
106  || LAPACKE_dge_nancheck( LAPACK_ROW_MAJOR, n2, n1,
107  &a[0], n2 )
108  || LAPACKE_dtr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
109  n2, &a[(size_t)n1*n2], n2 );
110  }
111  }
112  } else {
113  /* N is even */
114  k = n / 2;
115  if( ( rowmaj || ntr ) && !( rowmaj && ntr ) ) {
116  /* N is even and ( TRANSR = 'N' .XOR. ROWMAJOR) */
117  if( lower ) {
118  return LAPACKE_dtr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
119  k, &a[1], n+1 )
120  || LAPACKE_dge_nancheck( LAPACK_ROW_MAJOR, k, k,
121  &a[k+1], n+1 )
122  || LAPACKE_dtr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
123  k, &a[0], n+1 );
124  } else {
125  return LAPACKE_dtr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
126  k, &a[k+1], n+1 )
127  || LAPACKE_dge_nancheck( LAPACK_ROW_MAJOR, k, k,
128  &a[0], n+1 )
129  || LAPACKE_dtr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
130  k, &a[k], n+1 );
131  }
132  } else {
133  /* N is even and
134  ( ( TRANSR = 'C' || TRANSR = 'T' ) .XOR. COLMAJOR ) */
135  if( lower ) {
136  return LAPACKE_dtr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
137  k, &a[k], k )
138  || LAPACKE_dge_nancheck( LAPACK_ROW_MAJOR, k, k,
139  &a[(size_t)k*(k+1)], k )
140  || LAPACKE_dtr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
141  k, &a[0], k );
142  } else {
143  return LAPACKE_dtr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
144  k, &a[(size_t)k*(k+1)], k )
145  || LAPACKE_dge_nancheck( LAPACK_ROW_MAJOR, k, k,
146  &a[0], k )
147  || LAPACKE_dtr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
148  k, &a[(size_t)k*k], k );
149  }
150  }
151  }
152  } else {
153  /* Non-unit case - just check whole array for NaNs. */
154  len = n*(n+1)/2;
155  return LAPACKE_dge_nancheck( LAPACK_COL_MAJOR, len, 1, a, len );
156  }
157 }
lapack_logical
#define lapack_logical
Definition: lapacke.h:51
LAPACK_ROW_MAJOR
#define LAPACK_ROW_MAJOR
Definition: lapacke.h:119
LAPACKE_dtr_nancheck
lapack_logical LAPACKE_dtr_nancheck(int matrix_layout, char uplo, char diag, lapack_int n, const double *a, lapack_int lda)
Definition: lapacke_dtr_nancheck.c:37
lapacke_utils.h
LAPACKE_dtf_nancheck
lapack_logical LAPACKE_dtf_nancheck(int matrix_layout, char transr, char uplo, char diag, lapack_int n, const double *a)
Definition: lapacke_dtf_nancheck.c:37
LAPACKE_dge_nancheck
lapack_logical LAPACKE_dge_nancheck(int matrix_layout, lapack_int m, lapack_int n, const double *a, lapack_int lda)
Definition: lapacke_dge_nancheck.c:37
LAPACKE_lsame
lapack_logical LAPACKE_lsame(char ca, char cb)
Definition: lapacke_lsame.c:36
LAPACK_COL_MAJOR
#define LAPACK_COL_MAJOR
Definition: lapacke.h:120
lapack_int
#define lapack_int
Definition: lapacke.h:47