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#include <stdio.h>
#include "path.h"
#include <stddef.h> /* for size_t */
#include "mt19937ar.h"
#include <math.h> /* for sin(), cos(), etc. */
#include "vector.h"
#include <errno.h> /* for errno */
#include <string.h> /* for strerror() */
#include "random.h"
typedef struct sim {
double *pos;
path *p;
} sim;
static double getKineticEnergy(double x, void *params)
{
return 1.0;
}
sim *simulate_path(double *pos0, double *dir0, double range, double theta0, size_t N, size_t n)
{
size_t i;
double *s, *theta1, *theta2, *x, *y, *z, *z1, *z2, tmp1[3], tmp2[3], k[3], normal[3];
double dx, dy, dz, theta, phi;
sim *simvalue = malloc(sizeof(sim));
s = calloc(N,sizeof(double));
theta1 = calloc(N,sizeof(double));
theta2 = calloc(N,sizeof(double));
x = calloc(N,sizeof(double));
y = calloc(N,sizeof(double));
z = calloc(N,sizeof(double));
simvalue->pos = calloc(N*3,sizeof(double));
z1 = calloc(n,sizeof(double));
z2 = calloc(n,sizeof(double));
init_genrand(0);
simvalue->pos[0] = pos0[0];
simvalue->pos[1] = pos0[1];
simvalue->pos[2] = pos0[2];
for (i = 1; i < N; i++) {
s[i] = range*i/(N-1);
theta1[i] = theta1[i-1] + randn()*theta0*sqrt(s[i]-s[i-1]);
theta2[i] = theta2[i-1] + randn()*theta0*sqrt(s[i]-s[i-1]);
theta = sqrt(theta1[i]*theta1[i] + theta2[i]*theta2[i]);
phi = atan2(theta2[i],theta1[i]);
dx = (s[i]-s[i-1])*sin(theta)*cos(phi);
dy = (s[i]-s[i-1])*sin(theta)*sin(phi);
dz = (s[i]-s[i-1])*cos(theta);
x[i] = x[i-1] + dx;
y[i] = y[i-1] + dy;
z[i] = z[i-1] + dz;
tmp1[0] = x[i];
tmp1[1] = y[i];
tmp1[2] = z[i];
k[0] = 0.0;
k[1] = 0.0;
k[2] = 1.0;
CROSS(normal,k,dir0);
normalize(normal);
phi = acos(DOT(k,dir0));
rotate(tmp2,tmp1,normal,phi);
simvalue->pos[i*3] = pos0[0] + tmp2[0];
simvalue->pos[i*3+1] = pos0[1] + tmp2[1];
simvalue->pos[i*3+2] = pos0[2] + tmp2[2];
}
for (i = 0; i < n; i++) {
z1[i] = path_get_coefficient(i+1,s,theta1,theta0,N);
z2[i] = path_get_coefficient(i+1,s,theta2,theta0,N);
}
simvalue->p = path_init(pos0,dir0,1.0,range,theta0,getKineticEnergy,NULL,z1,z2,n,1.0);
free(s);
free(theta1);
free(theta2);
free(x);
free(y);
free(z);
free(z1);
free(z2);
return simvalue;
}
void usage(void)
{
fprintf(stderr,"Usage: ./test-path [options]\n");
fprintf(stderr," -N number of points along track\n");
fprintf(stderr," -n number of terms in KL expansion\n");
fprintf(stderr," -t standard deviation of angular distribution\n");
fprintf(stderr," --range range of track\n");
fprintf(stderr," -h display this help message\n");
exit(1);
}
int main(int argc, char **argv)
{
size_t i, n, N;
double pos0[3], dir0[3], theta0, range, pos2[3], dir[3], T, t;
n = 2;
N = 1000;
theta0 = 0.1;
range = 100.0;
for (i = 1; i < argc; i++) {
if (!strncmp(argv[i], "--", 2)) {
if (!strcmp(argv[i]+2,"range")) {
range = strtod(argv[++i],NULL);
continue;
}
} else if (argv[i][0] == '-') {
switch (argv[i][1]) {
case 'N':
N = atoi(argv[++i]);
break;
case 'n':
n = atoi(argv[++i]);
break;
case 't':
theta0 = strtod(argv[++i],NULL);
break;
case 'h':
usage();
default:
fprintf(stderr, "unrecognized option '%s'\n", argv[i]);
exit(1);
}
}
}
pos0[0] = 0.0;
pos0[1] = 0.0;
pos0[2] = 0.0;
dir0[0] = 1.0;
dir0[1] = 0.0;
dir0[2] = 0.0;
sim *simvalue = simulate_path(pos0,dir0,range,theta0,N,n);
FILE *pipe = popen("graph -T X --bitmap-size 2000x2000 -X X -Y Y", "w");
if (!pipe) {
fprintf(stderr, "error running graph command: %s\n", strerror(errno));
exit(1);
}
for (i = 0; i < N; i++) {
fprintf(pipe,"%.10g %.10g\n", simvalue->pos[i*3], simvalue->pos[i*3+1]);
}
fprintf(pipe,"\n\n");
for (i = 0; i < N; i++) {
path_eval(simvalue->p,i*range/(N-1),pos2,dir,&T,&t,&theta0);
fprintf(pipe,"%.10g %.10g\n", pos2[0], pos2[1]);
}
fprintf(pipe,"\n\n");
if (pclose(pipe)) {
fprintf(stderr, "error closing graph command: %s\n", strerror(errno));
exit(1);
}
return 0;
}
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