144 lines
		
	
	
		
			5.6 KiB
		
	
	
	
		
			C
		
	
	
	
			
		
		
	
	
			144 lines
		
	
	
		
			5.6 KiB
		
	
	
	
		
			C
		
	
	
	
| /*****************************************************************************
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|   Copyright (c) 2022, Intel Corp.
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|   All rights reserved.
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| 
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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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| 
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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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| 
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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: Simon Märtens
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| *****************************************************************************/
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| 
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| #include "lapacke_utils.h"
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| 
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| /*****************************************************************************
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|   Check a trapezoidal matrix for NaN entries. The shape of the trapezoidal
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|   matrix is determined by the arguments `direct` and `uplo`. `Direct` chooses
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|   the diagonal which shall be considered and `uplo` tells us whether we use the
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|   upper or lower part of the matrix with respect to the chosen diagonal.
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| 
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|       Diagonals 'F' (front / forward) and 'B' (back / backward):
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| 
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|         A = ( F       )           A = ( F     B       )
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|             (    F    )               (    F     B    )
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|             ( B     F )               (       F     B )
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|             (    B    )
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|             (       B )
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| 
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|       direct = 'F', uplo = 'L':
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| 
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|         A = ( *       )           A = ( *             )
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|             ( *  *    )               ( *  *          )
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|             ( *  *  * )               ( *  *  *       )
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|             ( *  *  * )
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|             ( *  *  * )
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| 
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|       direct = 'F', uplo = 'U':
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| 
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|         A = ( *  *  * )           A = ( *  *  *  *  * )
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|             (    *  * )               (    *  *  *  * )
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|             (       * )               (       *  *  * )
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|             (         )
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|             (         )
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| 
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|       direct = 'B', uplo = 'L':
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| 
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|         A = (         )           A = ( *  *  *       )
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|             (         )               ( *  *  *  *    )
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|             ( *       )               ( *  *  *  *  * )
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|             ( *  *    )
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|             ( *  *  * )
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| 
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|       direct = 'B', uplo = 'U':
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| 
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|         A = ( *  *  * )           A = (       *  *  * )
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|             ( *  *  * )               (          *  * )
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|             ( *  *  * )               (             * )
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|             (    *  * )
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|             (       * )
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| 
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| *****************************************************************************/
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| 
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| lapack_logical LAPACKE_stz_nancheck( int matrix_layout, char direct, char uplo,
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|                                      char diag, lapack_int m, lapack_int n,
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|                                      const float *a, lapack_int lda )
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| {
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|     lapack_logical colmaj, front, lower, unit;
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| 
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|     if( a == NULL ) return (lapack_logical) 0;
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| 
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|     colmaj = ( matrix_layout == LAPACK_COL_MAJOR );
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|     front  = LAPACKE_lsame( direct, 'f' );
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|     lower  = LAPACKE_lsame( uplo, 'l' );
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|     unit   = LAPACKE_lsame( diag, 'u' );
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| 
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|     if( ( !colmaj && ( matrix_layout != LAPACK_ROW_MAJOR ) ) ||
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|         ( !front  && !LAPACKE_lsame( direct, 'b' ) ) ||
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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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| 
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|     /* Initial offsets and sizes of triangular and rectangular parts */
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|     lapack_int tri_offset = 0;
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|     lapack_int tri_n = MIN(m,n);
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|     lapack_int rect_offset = -1;
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|     lapack_int rect_m = ( m > n ) ? m - n : m;
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|     lapack_int rect_n = ( n > m ) ? n - m : n;
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| 
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|     /* Fix offsets depending on the shape of the matrix */
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|     if( front ) {
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|         if( lower && m > n ) {
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|             rect_offset = tri_n * ( !colmaj ? lda : 1 );
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|         } else if( !lower && n > m ) {
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|             rect_offset = tri_n * ( colmaj ? lda : 1 );
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|         }
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|     } else {
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|         if( m > n ) {
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|             tri_offset = rect_m * ( !colmaj ? lda : 1 );
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|             if( !lower ) {
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|                 rect_offset = 0;
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|             }
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|         } else if( n > m ) {
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|             tri_offset = rect_n * ( colmaj ? lda : 1 );
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|             if( lower ) {
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|                 rect_offset = 0;
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|             }
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|         }
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|     }
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| 
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|     /* Check rectangular part */
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|     if( rect_offset >= 0 ) {
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|         if( LAPACKE_sge_nancheck( matrix_layout, rect_m, rect_n,
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|                                   &a[rect_offset], lda) ) {
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|             return (lapack_logical) 1;
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|         }
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|     }
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| 
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|     /* Check triangular part */
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|     return LAPACKE_str_nancheck( matrix_layout, uplo, diag, tri_n,
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|                                  &a[tri_offset], lda );
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| }
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