159 lines
		
	
	
		
			7.7 KiB
		
	
	
	
		
			C
		
	
	
	
			
		
		
	
	
			159 lines
		
	
	
		
			7.7 KiB
		
	
	
	
		
			C
		
	
	
	
/*****************************************************************************
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  Copyright (c) 2010, Intel Corp.
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  All rights reserved.
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  Redistribution and use in source and binary forms, with or without
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  modification, are permitted provided that the following conditions are met:
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    * Redistributions of source code must retain the above copyright notice,
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      this list of conditions and the following disclaimer.
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    * Redistributions in binary form must reproduce the above copyright
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      notice, this list of conditions and the following disclaimer in the
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      documentation and/or other materials provided with the distribution.
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    * Neither the name of Intel Corporation nor the names of its contributors
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      may be used to endorse or promote products derived from this software
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      without specific prior written permission.
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  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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  AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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  IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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  ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
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  LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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  CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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  SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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  INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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  CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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  ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
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  THE POSSIBILITY OF SUCH DAMAGE.
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******************************************************************************
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* Contents: Native C interface to LAPACK utility function
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* Author: Intel Corporation
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* Created in February, 2010
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*****************************************************************************/
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#include "lapacke_utils.h"
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/* Check a matrix for NaN entries. */
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lapack_logical LAPACKE_ztf_nancheck( int matrix_order, char transr,
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                                      char uplo, char diag,
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                                      lapack_int n,
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                                      const lapack_complex_double *a )
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{
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    lapack_int len;
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    lapack_logical rowmaj, ntr, lower, unit;
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    lapack_int n1, n2, k;
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    if( a == NULL ) return (lapack_logical) 0;
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    rowmaj = (matrix_order == LAPACK_ROW_MAJOR);
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    ntr    = LAPACKE_lsame( transr, 'n' );
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    lower  = LAPACKE_lsame( uplo,   'l' );
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    unit   = LAPACKE_lsame( diag,   'u' );
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    if( ( !rowmaj && ( matrix_order != LAPACK_COL_MAJOR ) ) ||
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        ( !ntr    && !LAPACKE_lsame( transr, 't' )
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                  && !LAPACKE_lsame( transr, 'c' ) ) ||
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        ( !lower  && !LAPACKE_lsame( uplo,   'u' ) ) ||
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        ( !unit   && !LAPACKE_lsame( diag,   'n' ) ) ) {
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        /* Just exit if any of input parameters are wrong */
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        return (lapack_logical) 0;
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    }
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    if( unit ) {
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        /* Unit case, diagonal should be excluded from the check for NaN.
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         * Decoding RFP and checking both triangulars and rectangular
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         * for NaNs.
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         */
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        if( lower ) {
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            n2 = n / 2;
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            n1 = n - n2;
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        } else {
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            n1 = n / 2;
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            n2 = n - n1;
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        }
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        if( n % 2 == 1 ) {
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            /* N is odd */
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            if( ( rowmaj || ntr ) && !( rowmaj && ntr ) ) {
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                /* N is odd and ( TRANSR = 'N' .XOR. ROWMAJOR) */
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                if( lower ) {
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                    return LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
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                                                 n1, &a[0], n )
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                        || LAPACKE_zge_nancheck( LAPACK_ROW_MAJOR, n2, n1,
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                                                 &a[n1], n )
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                        || LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
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                                                 n2, &a[n], n );
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                } else {
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                    return LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
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                                                 n1, &a[n2], n )
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                        || LAPACKE_zge_nancheck( LAPACK_ROW_MAJOR, n1, n2,
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                                                 &a[0], n )
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                        || LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
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                                                 n2, &a[n1], n );
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                }
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            } else {
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                /* N is odd and
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                 * ( ( TRANSR = 'C' || TRANSR = 'T' ) .XOR. COLMAJOR )
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                 */
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                if( lower ) {
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                    return LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
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                                                 n1, &a[0], n1 )
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                        || LAPACKE_zge_nancheck( LAPACK_ROW_MAJOR, n1, n2,
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                                                 &a[1], n1 )
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                        || LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
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                                                 n2, &a[1], n1 );
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                } else {
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                    return LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
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                                                 n1, &a[(size_t)n2*n2], n2 )
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                        || LAPACKE_zge_nancheck( LAPACK_ROW_MAJOR, n2, n1,
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                                                 &a[0], n2 )
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                        || LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
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                                                 n2, &a[(size_t)n1*n2], n2 );
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                }
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            }
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        } else {
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            /* N is even */
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            k = n / 2;
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            if( ( rowmaj || ntr ) && !( rowmaj && ntr ) ) {
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                /* N is even and ( TRANSR = 'N' .XOR. ROWMAJOR) */
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                if( lower ) {
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                    return LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
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                                                 k, &a[1], n+1 )
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                        || LAPACKE_zge_nancheck( LAPACK_ROW_MAJOR, k, k,
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                                                 &a[k+1], n+1 )
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                        || LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
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                                                 k, &a[0], n+1 );
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                } else {
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                    return LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
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                                                 k, &a[k+1], n+1 )
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                        || LAPACKE_zge_nancheck( LAPACK_ROW_MAJOR, k, k,
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                                                 &a[0], n+1 )
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                        || LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
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                                                 k, &a[k], n+1 );
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                }
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            } else {
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                /* N is even and
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                   ( ( TRANSR = 'C' || TRANSR = 'T' ) .XOR. COLMAJOR ) */
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                if( lower ) {
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                    return LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
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                                                 k, &a[k], k )
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                        || LAPACKE_zge_nancheck( LAPACK_ROW_MAJOR, k, k,
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                                                 &a[(size_t)k*(k+1)], k )
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                        || LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
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                                                 k, &a[0], k );
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                } else {
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                    return LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'u', 'u',
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                                                 k, &a[(size_t)k*(k+1)], k )
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                        || LAPACKE_zge_nancheck( LAPACK_ROW_MAJOR, k, k,
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                                                 &a[0], k )
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                        || LAPACKE_ztr_nancheck( LAPACK_ROW_MAJOR, 'l', 'u',
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                                                 k, &a[(size_t)k*k], k );
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                }
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            }
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        }
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    } else {
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        /* Non-unit case - just check whole array for NaNs. */
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        len = n*(n+1)/2;
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        return LAPACKE_zge_nancheck( LAPACK_COL_MAJOR, len, 1, a, len );
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    }
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}
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