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+
+/************************************************/
+/* Investigate various curve approximations */
+/************************************************/
+
+/* Discrete regularized spline versions */
+/* Standard test with weak default function */
+
+/* Author: Graeme Gill
+ * Date: 20/11/2005
+ *
+ * Copyright 1995, 1996, 2005 Graeme W. Gill
+ *
+ * This material is licenced under the GNU AFFERO GENERAL PUBLIC LICENSE Version 3 :-
+ * see the License.txt file for licencing details.
+ */
+
+#undef DIAG
+#undef DIAG2
+#undef GLOB_CHECK
+#define RES2 /* Do multiple test at various resolutions */
+#undef EXTRAFIT /* Test extra fitting effort */
+#define SMOOTH 1.0
+#define AVGDEV 0.0
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <fcntl.h>
+#include <math.h>
+#include "copyright.h"
+#include "aconfig.h"
+#include "numlib.h"
+#include "plot.h"
+#include "rspl.h"
+
+double lin();
+void usage(void);
+
+#define TRIALS 15 /* Number of random trials */
+#define SKIP 0 /* Number of random trials to skip */
+
+#define MIN_PNTS 1
+#define MAX_PNTS 7
+
+#define MIN_RES 20
+#define MAX_RES 300
+
+double xa[MAX_PNTS];
+double ya[MAX_PNTS];
+double wa[MAX_PNTS];
+
+#define XRES 100
+
+#define PNTS 2
+#define GRES 200
+//double t1xa[PNTS] = { 0.325, 0.625 };
+//double t1ya[PNTS] = { 0.4, 0.70 };
+double t1xa[PNTS] = { 0.325, 0.625 };
+double t1ya[PNTS] = { 0.5, 0.8 };
+double t1wa[PNTS] = { 1.0, 1.0 };
+cow test_points[MAX_PNTS];
+
+double lin(double x, double xa[], double ya[], int n);
+
+/* Weak default function */
+static void wfunc(void *cbntx, double *out, double *in) {
+ out[0] = in[0];
+}
+
+void usage(void) {
+ fprintf(stderr,"Test 1D rspl interpolation with weak default function\n");
+ fprintf(stderr,"Author: Graeme W. Gill\n");
+ fprintf(stderr,"usage: c1df [options]\n");
+ fprintf(stderr," -w wweight Set weak default function weight (default 1.0)\n");
+ exit(1);
+}
+
+int main(int argc, char *argv[]) {
+ int fa,nfa; /* argument we're looking at */
+ int i,j, n;
+ double x;
+ double xx[XRES];
+ double yy[6][XRES];
+ rspl *rss; /* incremental solution version */
+ datai low,high;
+ int gres[MXDI];
+ double avgdev[MXDO];
+ double wweight = 1.0;
+
+ /* Process the arguments */
+ for(fa = 1;fa < argc;fa++) {
+ nfa = fa; /* skip to nfa if next argument is used */
+ if (argv[fa][0] == '-') { /* Look for any flags */
+ char *na = NULL; /* next argument after flag, null if none */
+
+ if (argv[fa][2] != '\000')
+ na = &argv[fa][2]; /* next is directly after flag */
+ else {
+ if ((fa+1) < argc) {
+ if (argv[fa+1][0] != '-') {
+ nfa = fa + 1;
+ na = argv[nfa]; /* next is seperate non-flag argument */
+ }
+ }
+ }
+
+ if (argv[fa][1] == '?') {
+ usage();
+
+ } else if (argv[fa][1] == 'w' || argv[fa][1] == 'W') {
+ fa = nfa;
+ if (na == NULL) usage();
+ wweight = atof(na);
+ } else
+ usage();
+ } else
+ break;
+ }
+
+ low[0] = 0.0;
+ high[0] = 1.0;
+ avgdev[0] = AVGDEV;
+
+ error_program = "Curve1";
+
+ for (n = 0; n < TRIALS; n++) {
+ double lrand = 0.0; /* Amount of level randomness */
+ int pnts;
+ int fres;
+
+ if (n == 0) { /* Standard versions */
+ pnts = PNTS;
+ fres = GRES;
+ for (i = 0; i < pnts; i++) {
+ xa[i] = t1xa[i];
+ ya[i] = t1ya[i];
+ wa[i] = t1wa[i];
+ }
+ printf("Trial %d, points = %d, res = %d, level randomness = %f\n",n,pnts,fres,lrand);
+ } else { /* Random versions */
+ double xmx;
+ lrand = d_rand(0.0,0.1); /* Amount of level randomness */
+ pnts = i_rand(MIN_PNTS,MAX_PNTS);
+ fres = i_rand(MIN_RES,MAX_RES);
+
+ printf("Trial %d, points = %d, res = %d, level randomness = %f\n",n,pnts,fres,lrand);
+
+ /* Create X values */
+ xa[0] = d_rand(0.3, 0.5);
+ for (i = 1; i < pnts; i++)
+ xa[i] = xa[i-1] + d_rand(0.2,0.7);
+ xmx = d_rand(0.6, 0.9);
+ for (i = 0; i < pnts; i++) /* Divide out */
+ xa[i] *= (xmx/xa[pnts-1]);
+
+ /* Create y values */
+ for (i = 0; i < pnts; i++) {
+ ya[i] = xa[i] + d_rand(-lrand,lrand);
+ wa[i] = 1.0;
+ }
+ }
+
+ if (n < SKIP)
+ continue;
+
+ /* Create the object */
+ rss = new_rspl(RSPL_NOFLAGS, 1, /* di */
+ 1); /* fdi */
+
+ for (i = 0; i < pnts; i++) {
+ test_points[i].p[0] = xa[i];
+ test_points[i].v[0] = ya[i];
+ test_points[i].w = wa[i];
+ }
+ gres[0] = fres;
+
+#ifdef RES2
+ if (n != 0) {
+#endif
+ /* Fit to scattered data */
+ rss->fit_rspl_w_df(rss,
+#ifdef EXTRAFIT
+ RSPL_EXTRAFIT | /* Extra fit flag */
+#endif
+ 0,
+ test_points, /* Test points */
+ pnts, /* Number of test points */
+ low, high, gres, /* Low, high, resolution of grid */
+ low, high, /* Data scale */
+ SMOOTH, /* Smoothing */
+ avgdev, /* Average deviation */
+ NULL, /* iwidth */
+ wweight, /* weak function weight */
+ NULL, /* No context */
+ wfunc /* Weak function */
+ );
+
+ /* Display the result */
+ for (i = 0; i < XRES; i++) {
+ co tp; /* Test point */
+ x = i/(double)(XRES-1);
+ xx[i] = x;
+ yy[0][i] = lin(x,xa,ya,pnts);
+ tp.p[0] = x;
+ rss->interp(rss, &tp);
+ yy[1][i] = tp.v[0];
+ if (yy[1][i] < -0.2)
+ yy[1][i] = -0.2;
+ else if (yy[1][i] > 1.2)
+ yy[1][i] = 1.2;
+ }
+
+ do_plot(xx,yy[0],yy[1],NULL,XRES);
+
+#ifdef RES2
+ } else { /* Multiple resolution version */
+ int gresses[5];
+ for (j = 0; j < 5; j++) {
+#ifndef NEVER
+ if (j == 0)
+ gres[0] = fres/8;
+ else if (j == 1)
+ gres[0] = fres/4;
+ else if (j == 2)
+ gres[0] = fres/2;
+ else if (j == 3)
+ gres[0] = fres;
+ else
+ gres[0] = fres * 2;
+#else /* Check sensitivity to griding of data points */
+ if (j == 0)
+ gres[0] = 192;
+ else if (j == 1)
+ gres[0] = 193;
+ else if (j == 2)
+ gres[0] = 194;
+ else if (j == 3)
+ gres[0] = 195;
+ else
+ gres[0] = 196;
+#endif
+ gresses[j] = gres[0];
+
+ rss->fit_rspl_w_df(rss,
+#ifdef EXTRAFIT
+ RSPL_EXTRAFIT | /* Extra fit flag */
+#endif
+ 0,
+ test_points, /* Test points */
+ pnts, /* Number of test points */
+ low, high, gres, /* Low, high, resolution of grid */
+ low, high, /* Data scale */
+ SMOOTH, /* Smoothing */
+ avgdev, /* Average deviation */
+ NULL, /* iwidth */
+ wweight, /* weak function weight */
+ NULL, /* No context */
+ wfunc /* Weak function */
+ );
+
+ /* Get the result */
+ for (i = 0; i < XRES; i++) {
+ co tp; /* Test point */
+ x = i/(double)(XRES-1);
+ xx[i] = x;
+ yy[0][i] = lin(x,xa,ya,pnts);
+ tp.p[0] = x;
+ rss->interp(rss, &tp);
+ yy[1+j][i] = tp.v[0];
+ if (yy[1+j][i] < -0.2)
+ yy[1+j][i] = -0.2;
+ else if (yy[1+j][i] > 1.2)
+ yy[1+j][i] = 1.2;
+ }
+ }
+
+ printf("Black = lin, Red = %d, Green = %d, Blue = %d, Yellow = %d, Purple = %d\n",
+ gresses[0], gresses[1], gresses[2], gresses[3], gresses[4]);
+ do_plot6(xx,yy[0],yy[1],yy[2],yy[3],yy[4],yy[5],XRES);
+ }
+#endif /* RES2 */
+ } /* next trial */
+ return 0;
+}
+
+
+double
+lin(
+double x,
+double xa[],
+double ya[],
+int n)
+ {
+ int i;
+ double y;
+
+ if (x < xa[0])
+ return ya[0];
+ else if (x > xa[n-1])
+ return ya[n-1];
+
+ for (i = 0; i < (n-1); i++)
+ if (x >=xa[i] && x <= xa[i+1])
+ break;
+
+ x = (x - xa[i])/(xa[i+1] - xa[i]);
+
+ y = ya[i] + (ya[i+1] - ya[i]) * x;
+
+ return y;
+ }
+
+