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Tina6/tina-libs/tina/math/mathMatr_invsd.c

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  1 /**********
  2  *
  3  * Copyright (c) 2003, Division of Imaging Science and Biomedical Engineering,
  4  * University of Manchester, UK.  All rights reserved.
  5  * 
  6  * Redistribution and use in source and binary forms, with or without modification, 
  7  * are permitted provided that the following conditions are met:
  8  * 
  9  *   . Redistributions of source code must retain the above copyright notice, 
 10  *     this list of conditions and the following disclaimer.
 11  *    
 12  *   . Redistributions in binary form must reproduce the above copyright notice,
 13  *     this list of conditions and the following disclaimer in the documentation 
 14  *     and/or other materials provided with the distribution.
 15  * 
 16  *   . Neither the name of the University of Manchester nor the names of its
 17  *     contributors may be used to endorse or promote products derived from this 
 18  *     software without specific prior written permission.
 19  * 
 20  * 
 21  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" 
 22  * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 
 23  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 
 24  * ARE DISCLAIMED.  IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE 
 25  * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR 
 26  * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF 
 27  * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
 28  * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN 
 29  * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) 
 30  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE 
 31  * POSSIBILITY OF SUCH DAMAGE.
 32  *
 33  **********
 34  *
 35  * Program :    TINA
 36  * File    :  $Source: /home/tina/cvs/tina-libs/tina/math/mathMatr_invsd.c,v $
 37  * Date    :  $Date: 2005/01/09 17:49:25 $
 38  * Version :  $Revision: 1.6 $
 39  * CVS Id  :  $Id: mathMatr_invsd.c,v 1.6 2005/01/09 17:49:25 paul Exp $
 40  *
 41  * Author  :  Legacy TINA
 42  *
 43  * Notes : Inverse SVD
 44  *
 45  *********
 46 */
 47 /** 
 48  *  @file
 49  *  @brief  Inverse Matrix SVD .        
 50  *
 51  *
 52  * 
 53 */
 54 
 55 
 56 #include "mathMatr_invsd.h"
 57 
 58 #if HAVE_CONFIG_H
 59 #include <config.h>
 60 #endif
 61 
 62 #include <math.h>
 63 #include <stdio.h>
 64 #include <tina/sys/sysPro.h>
 65 #include <tina/sys/sysDef.h>
 66 #include <tina/math/math_MatrDef.h>
 67 #include <tina/math/mathMatr_svd.h>
 68 #include <tina/math/mathMatr_alloc.h>
 69 #include <tina/math/mathMatr_transp.h>
 70 #include <tina/math/mathMatr_prod.h>
 71 #include <tina/math/mathMatr_free.h>
 72 
 73 Matrix         *matrix_invsvd(Matrix * a, double condition)
 74 {
 75         Matrix         *matinv;
 76         Matrix         *v = NULL;
 77         Matrix         *d;
 78         Matrix         *vd;
 79         Matrix         *ut;
 80         Matrix         *u = NULL;
 81         double         *w = NULL;
 82         int             i;
 83 
 84         if (a == NULL)
 85                 return (NULL);
 86 
 87         matrix_svd(a, &u, &v, &w, condition);
 88         d = matrix_alloc(a->n, a->n, matrix_full, double_v);
 89         for (i = 0; i < a->n; i++)
 90                 if (w[i])
 91                         d->el.double_v[i][i] = 1.0 / w[i];
 92         ut = matrix_transp(u);
 93         vd = matrix_prod(v, d);
 94         matinv = matrix_prod(vd, ut);
 95 
 96         matrix_free((Matrix *) v);
 97         matrix_free((Matrix *) d);
 98         matrix_free((Matrix *) vd);
 99         matrix_free((Matrix *) u);
100         matrix_free((Matrix *) ut);
101         rfree(w);
102         return (matinv);
103 }
104 

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