mean_variance_dist_clusters.c

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00001 /* ***************************************************** */
00002 /* Compute mean and variance of distances to clusters.   */
00003 /* mean_variance_dist_clusters.c                         */
00004 /* ***************************************************** */
00005 /* Author: Christian Page, CERFACS, Toulouse, France.    */
00006 /* ***************************************************** */
00011 /* LICENSE BEGIN
00012 
00013 Copyright Cerfacs (Christian Page) (2015)
00014 
00015 christian.page@cerfacs.fr
00016 
00017 This software is a computer program whose purpose is to downscale climate
00018 scenarios using a statistical methodology based on weather regimes.
00019 
00020 This software is governed by the CeCILL license under French law and
00021 abiding by the rules of distribution of free software. You can use, 
00022 modify and/ or redistribute the software under the terms of the CeCILL
00023 license as circulated by CEA, CNRS and INRIA at the following URL
00024 "http://www.cecill.info". 
00025 
00026 As a counterpart to the access to the source code and rights to copy,
00027 modify and redistribute granted by the license, users are provided only
00028 with a limited warranty and the software's author, the holder of the
00029 economic rights, and the successive licensors have only limited
00030 liability. 
00031 
00032 In this respect, the user's attention is drawn to the risks associated
00033 with loading, using, modifying and/or developing or reproducing the
00034 software by the user in light of its specific status of free software,
00035 that may mean that it is complicated to manipulate, and that also
00036 therefore means that it is reserved for developers and experienced
00037 professionals having in-depth computer knowledge. Users are therefore
00038 encouraged to load and test the software's suitability as regards their
00039 requirements in conditions enabling the security of their systems and/or 
00040 data to be ensured and, more generally, to use and operate it in the 
00041 same conditions as regards security. 
00042 
00043 The fact that you are presently reading this means that you have had
00044 knowledge of the CeCILL license and that you accept its terms.
00045 
00046 LICENSE END */
00047 
00048 
00049 
00050 
00051 
00052 
00053 
00054 #include <classif.h>
00055 
00057 void
00058 mean_variance_dist_clusters(double *mean_dist, double *var_dist, double *pc, double *clusters, double *var_pc,
00059                             double *var_pc_norm_all, int neof, int nclust, int ntime) {
00072   double *dist_pc = NULL; /* Sum of the normalized distances to clusters over all EOFs */
00073 
00074   double sum = 0.0; /* Sum of normalized distances to clusters */
00075   double val; /* Normalized distance to cluster */
00076   
00077   int eof; /* EOF loop counter */
00078   int nt; /* Time loop counter */
00079   int clust; /* Cluster loop counter */
00080 
00081   /* Allocate memory */
00082   dist_pc = (double *) malloc(ntime * sizeof(double));
00083   if (dist_pc == NULL) alloc_error(__FILE__, __LINE__);
00084 
00085   /* Loop over all clusters */
00086   for (clust=0; clust<nclust; clust++) {
00087     /* Loop over time */
00088     for (nt=0; nt<ntime; nt++) {
00089       /* Initialize the sum */
00090       sum = 0.0;
00091       /* Loop over all EOFs */
00092       for (eof=0; eof<neof; eof++) {
00093         /* Calculate normalized distance to clusters */
00094         val = (pc[nt+eof*ntime] / sqrt(var_pc_norm_all[eof])) - (clusters[eof+clust*neof] / sqrt(var_pc[eof]));
00095         /* Calculate squared sum */
00096         sum += (val * val);
00097       }
00098       /* Save for this timestep the square root of the sum of the squares of the distance to clusters */
00099       dist_pc[nt] = sqrt(sum);
00100     }
00101     /* Calculate mean over time */
00102     mean_dist[clust] = gsl_stats_mean(dist_pc, 1, ntime);
00103     /* Calculate variance over time */
00104     var_dist[clust] = gsl_stats_variance(dist_pc, 1, ntime);
00105 
00106     //    printf("ctrl dist pre... %d %lf %lf %lf %lf %lf\n",clust,sqrt(sum),pc[ntime-1+clust*ntime],sqrt(var_pc_norm_all[clust]),clusters[clust+clust*neof],sqrt(var_pc[clust]));
00107     //    printf("ctrl dist.... %d %lf %lf %lf %lf\n",clust,dist_pc[ntime-1],sum,mean_dist[clust],sqrt(var_dist[clust]));
00108   }
00109 
00110   /* Free memory */
00111   (void) free(dist_pc);
00112 }

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