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- /*
- * principal component analysis (PCA)
- * Copyright (c) 2004 Michael Niedermayer <michaelni@gmx.at>
- *
- * This file is part of FFmpeg.
- *
- * FFmpeg is free software; you can redistribute it and/or
- * modify it under the terms of the GNU Lesser General Public
- * License as published by the Free Software Foundation; either
- * version 2.1 of the License, or (at your option) any later version.
- *
- * FFmpeg is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
- * Lesser General Public License for more details.
- *
- * You should have received a copy of the GNU Lesser General Public
- * License along with FFmpeg; if not, write to the Free Software
- * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
- */
- #include "libavutil/pca.c"
- #include "libavutil/lfg.h"
- #undef printf
- #include <stdio.h>
- #include <stdlib.h>
- int main(void){
- PCA *pca;
- int i, j, k;
- #define LEN 8
- double eigenvector[LEN*LEN];
- double eigenvalue[LEN];
- AVLFG prng;
- av_lfg_init(&prng, 1);
- pca= ff_pca_init(LEN);
- for(i=0; i<9000000; i++){
- double v[2*LEN+100];
- double sum=0;
- int pos = av_lfg_get(&prng) % LEN;
- int v2 = av_lfg_get(&prng) % 101 - 50;
- v[0] = av_lfg_get(&prng) % 101 - 50;
- for(j=1; j<8; j++){
- if(j<=pos) v[j]= v[0];
- else v[j]= v2;
- sum += v[j];
- }
- /* for(j=0; j<LEN; j++){
- v[j] -= v[pos];
- }*/
- // sum += av_lfg_get(&prng) % 10;
- /* for(j=0; j<LEN; j++){
- v[j] -= sum/LEN;
- }*/
- // lbt1(v+100,v+100,LEN);
- ff_pca_add(pca, v);
- }
- ff_pca(pca, eigenvector, eigenvalue);
- for(i=0; i<LEN; i++){
- pca->count= 1;
- pca->mean[i]= 0;
- // (0.5^|x|)^2 = 0.5^2|x| = 0.25^|x|
- // pca.covariance[i + i*LEN]= pow(0.5, fabs
- for(j=i; j<LEN; j++){
- printf("%f ", pca->covariance[i + j*LEN]);
- }
- printf("\n");
- }
- for(i=0; i<LEN; i++){
- double v[LEN];
- double error=0;
- memset(v, 0, sizeof(v));
- for(j=0; j<LEN; j++){
- for(k=0; k<LEN; k++){
- v[j] += pca->covariance[FFMIN(k,j) + FFMAX(k,j)*LEN] * eigenvector[i + k*LEN];
- }
- v[j] /= eigenvalue[i];
- error += fabs(v[j] - eigenvector[i + j*LEN]);
- }
- printf("%f ", error);
- }
- printf("\n");
- for(i=0; i<LEN; i++){
- for(j=0; j<LEN; j++){
- printf("%9.6f ", eigenvector[i + j*LEN]);
- }
- printf(" %9.1f %f\n", eigenvalue[i], eigenvalue[i]/eigenvalue[0]);
- }
- return 0;
- }
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