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Tina6/tina-libs/tina/math/mathMatr_svd.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_svd.c,v $
 37  * Date    :  $Date: 2003/09/23 11:32:20 $
 38  * Version :  $Revision: 1.4 $
 39  * CVS Id  :  $Id: mathMatr_svd.c,v 1.4 2003/09/23 11:32:20 matts Exp $
 40  *
 41  * Author  :  Legacy TINA
 42  *
 43  * Notes : Matrix SVD
 44  *
 45  *********
 46 */
 47 /** 
 48  *  @file
 49  *  @brief  High level Matrix SVD routine.      
 50  *
 51  *  Calls SVDcmp to perform the calculation.
 52  * 
 53 */
 54 
 55 #include "mathMatr_svd.h"
 56 
 57 #if HAVE_CONFIG_H
 58 #include <config.h>
 59 #endif
 60 
 61 #include <stdio.h>
 62 #include <math.h>
 63 #include <tina/sys/sysDef.h>
 64 #include <tina/sys/sysPro.h>
 65 #include <tina/math/math_MatrDef.h>
 66 #include <tina/math/mathMatr_copy.h>
 67 #include <tina/math/mathMatr_alloc.h>
 68 #include <tina/math/math_NumPro.h>
 69 
 70 void            matrix_svd(Matrix * a, Matrix ** u, Matrix ** v, double **w, double condition)
 71 {
 72         int             j;
 73         void            SVDcmp();
 74         double          wmax, thresh;
 75         Matrix         *dmatrix_copy();
 76         Matrix         *matrix_alloc();
 77 
 78         if (*u == (Matrix *) NULL)
 79                 *u = dmatrix_copy(a);
 80         if (*w == (double *) NULL)
 81                 *w = (double *) ralloc((unsigned) a->n * sizeof(double));
 82         if (*v == (Matrix *) NULL)
 83                 *v = matrix_alloc(a->n, a->n, matrix_full, double_v);
 84         /* singular value decomposition */
 85 
 86         SVDcmp((*u)->el.double_v, (*u)->m, (*u)->n, *w, (*v)->el.double_v);
 87         /* Editing the sigular values given condition */
 88         wmax = 0.0;
 89         for (j = 0; j < ((*u)->n); j++)
 90                 if ((*w)[j] > wmax)
 91                         wmax = (*w)[j];
 92         thresh = condition * wmax;
 93         for (j = 0; j < ((*u)->n); j++)
 94                 if ((*w)[j] < thresh)
 95                         (*w)[j] = 0.0;
 96 }
 97 

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