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//
// Copyright 2006-2009 Johannes Hofmann <Johannes.Hofmann@gmx.de>
//
// This software may be used and distributed according to the terms
// of the GNU General Public License, incorporated herein by reference.
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include <gsl/gsl_rng.h>
#include <gsl/gsl_randist.h>
#include <gsl/gsl_vector.h>
#include <gsl/gsl_blas.h>
#include <gsl/gsl_multifit_nlin.h>
#include "ProjectionLSQ.H"
double ProjectionLSQ::pi = asin(1.0) * 2.0;
double
ProjectionLSQ::sec(double a) {
return 1.0 / cos(a);
}
double
ProjectionLSQ::get_view_angle() {
return 0.0;
}
int
ProjectionLSQ::comp_params(const Hills *h, ViewParams *parms) {
const Hill *m1, *m2;
double scale_tmp;
int known_hills = h->get_num();
ViewParams new_parms = *parms;
if (known_hills < 1) {
fprintf(stderr, "Please position at least 1 hill\n");
return 1;
}
m1 = h->get(0);
new_parms.a_center = m1->alph;
new_parms.a_nick = 0.0;
if (known_hills > 1) {
m2 = h->get(1);
scale_tmp = comp_scale(m1->alph, m2->alph, m1->x, m2->x);
if (isnan(scale_tmp) || scale_tmp < 50.0) {
fprintf(stderr, "Could not determine initial scale value (%f)\n",
scale_tmp);
return 1;
}
new_parms.scale = scale_tmp;
new_parms.a_tilt = 0.0;
}
if (known_hills > 3) {
fprintf(stderr, "Performing calibration\n");
new_parms.k0 = 0.0;
new_parms.k1 = 0.0;
new_parms.x0 = 0.0;
}
if (known_hills == 1) {
lsq(h, &new_parms, 0);
} else if (known_hills < 4) {
lsq(h, &new_parms, 1);
} else {
lsq(h, &new_parms, 1);
lsq(h, &new_parms, 2);
}
if (isnan(new_parms.scale) || new_parms.scale < 50.0) {
fprintf(stderr, "Could not determine reasonable view parameters\n");
return 1;
}
*parms = new_parms;
return 0;
}
struct data {
ProjectionLSQ *p;
int level;
const Hills *h;
const ViewParams *old_params;
};
#define CALL(A) dat->p->A(parms.a_center, parms.a_nick, parms.a_tilt, parms.scale, parms.k0, parms.k1, parms.x0, m->alph, m->a_nick)
static int
lsq_f (const gsl_vector * x, void *data, gsl_vector * f) {
struct data *dat = (struct data *) data;
ViewParams parms = *dat->old_params;
parms.a_center = gsl_vector_get (x, 0);
parms.a_nick = gsl_vector_get (x, 1);
if (dat->level > 0) {
parms.a_tilt = gsl_vector_get (x, 2);
parms.scale = gsl_vector_get (x, 3);
}
if (dat->level > 1) {
parms.k0 = gsl_vector_get (x, 4);
parms.k1 = gsl_vector_get (x, 5);
parms.x0 = gsl_vector_get (x, 6);
}
for (int i=0; i<dat->h->get_num(); i++) {
Hill *m = dat->h->get(i);
double mx = CALL(mac_x);
double my = CALL(mac_y);
gsl_vector_set (f, i*2, mx - m->x);
gsl_vector_set (f, i*2+1, my - m->y);
}
return GSL_SUCCESS;
}
static int
lsq_df (const gsl_vector * x, void *data, gsl_matrix * J) {
struct data *dat = (struct data *) data;
ViewParams parms = *dat->old_params;
parms.a_center = gsl_vector_get (x, 0);
parms.a_nick = gsl_vector_get (x, 1);
if (dat->level > 0) {
parms.a_tilt = gsl_vector_get (x, 2);
parms.scale = gsl_vector_get (x, 3);
}
if (dat->level > 1) {
parms.k0 = gsl_vector_get (x, 4);
parms.k1 = gsl_vector_get (x, 5);
parms.x0 = gsl_vector_get (x, 6);
}
for (int i=0; i<dat->h->get_num(); i++) {
Hill *m = dat->h->get(i);
gsl_matrix_set (J, 2*i, 0, CALL(mac_x_dc_view));
gsl_matrix_set (J, 2*i, 1, CALL(mac_x_dc_nick));
if (dat->level > 0) {
gsl_matrix_set (J, 2*i, 2, CALL(mac_x_dc_tilt));
gsl_matrix_set (J, 2*i, 3, CALL(mac_x_dscale));
}
if (dat->level > 1) {
gsl_matrix_set (J, 2*i, 4, CALL(mac_x_dk0));
gsl_matrix_set (J, 2*i, 5, CALL(mac_x_dk1));
gsl_matrix_set (J, 2*i, 6, CALL(mac_x_dx0));
}
gsl_matrix_set (J, 2*i+1, 0, CALL(mac_y_dc_view));
gsl_matrix_set (J, 2*i+1, 1, CALL(mac_y_dc_nick));
if (dat->level > 0) {
gsl_matrix_set (J, 2*i+1, 2, CALL(mac_y_dc_tilt));
gsl_matrix_set (J, 2*i+1, 3, CALL(mac_y_dscale));
}
if (dat->level > 1) {
gsl_matrix_set (J, 2*i+1, 4, CALL(mac_y_dk0));
gsl_matrix_set (J, 2*i+1, 5, CALL(mac_y_dk1));
gsl_matrix_set (J, 2*i+1, 6, CALL(mac_y_dx0));
}
}
return GSL_SUCCESS;
}
static int
lsq_fdf (const gsl_vector * x, void *data, gsl_vector * f, gsl_matrix * J) {
lsq_f (x, data, f);
lsq_df (x, data, J);
return GSL_SUCCESS;
}
int
ProjectionLSQ::lsq(const Hills *h, ViewParams *parms,
int level) {
const gsl_multifit_fdfsolver_type *T;
gsl_multifit_fdfsolver *s;
gsl_multifit_function_fdf f;
struct data dat;
double x_init[8];
gsl_vector_view x;
int status;
int num_params;
if (level == 0)
num_params = 2;
else if (level == 1)
num_params = 4;
else
num_params = 7;
dat.p = this;
dat.level = level;
dat.h = h;
dat.old_params = parms;
x_init[0] = parms->a_center;
x_init[1] = parms->a_nick;
x_init[2] = parms->a_tilt;
x_init[3] = parms->scale;
x_init[4] = parms->k0;
x_init[5] = parms->k1;
x_init[6] = parms->x0;
x = gsl_vector_view_array (x_init, num_params);
f.f = &lsq_f;
f.df = &lsq_df;
f.fdf = &lsq_fdf;
f.n = h->get_num() * 2;
f.p = num_params;
f.params = &dat;
T = gsl_multifit_fdfsolver_lmsder;
s = gsl_multifit_fdfsolver_alloc (T, h->get_num() * 2, num_params);
gsl_multifit_fdfsolver_set (s, &f, &x.vector);
for (int i=0; i<100; i++) {
status = gsl_multifit_fdfsolver_iterate (s);
if (status) {
break;
}
}
parms->a_center = gsl_vector_get(s->x, 0);
parms->a_nick = gsl_vector_get(s->x, 1);
if (level > 0) {
parms->a_tilt = gsl_vector_get(s->x, 2);
parms->scale = gsl_vector_get(s->x, 3);
}
if (level > 1) {
parms->k0 = gsl_vector_get(s->x, 4);
parms->k1 = gsl_vector_get(s->x, 5);
parms->x0 = gsl_vector_get(s->x, 6);
}
gsl_multifit_fdfsolver_free (s);
return 0;
}
void
ProjectionLSQ::get_coordinates(double alph, double a_nick,
const ViewParams *parms, double *x, double *y) {
// Normalize alph - parms->a_center to [-pi/2, pi/2]
if (alph - parms->a_center > pi)
alph -= 2.0 * pi;
else if (alph - parms->a_center < -pi)
alph += 2.0 * pi;
*x = mac_x(parms->a_center, parms->a_nick, parms->a_tilt, parms->scale,
parms->k0, parms->k1, parms->x0, alph, a_nick);
*y = mac_y(parms->a_center, parms->a_nick, parms->a_tilt, parms->scale,
parms->k0, parms->k1, parms->x0, alph, a_nick);
}
double
ProjectionLSQ::comp_scale(double a1, double a2, double d1, double d2) {
return (fabs(d1 - d2) / fabs(a1 - a2));
}
#define ARGS double c_view, double c_nick, double c_tilt, double scale, double k0, double k1, double x0, double m_view, double m_nick
double ProjectionLSQ::mac_x(ARGS) {return NAN;}
double ProjectionLSQ::mac_y(ARGS) {return NAN;}
double ProjectionLSQ::mac_x_dc_view(ARGS) {return NAN;}
double ProjectionLSQ::mac_x_dc_nick(ARGS) {return NAN;}
double ProjectionLSQ::mac_x_dc_tilt(ARGS) {return NAN;}
double ProjectionLSQ::mac_x_dscale(ARGS) {return NAN;}
double ProjectionLSQ::mac_x_dk0(ARGS) {return NAN;}
double ProjectionLSQ::mac_x_dk1(ARGS) {return NAN;}
double ProjectionLSQ::mac_x_dx0(ARGS) {return NAN;}
double ProjectionLSQ::mac_y_dc_view(ARGS) {return NAN;}
double ProjectionLSQ::mac_y_dc_nick(ARGS) {return NAN;}
double ProjectionLSQ::mac_y_dc_tilt(ARGS) {return NAN;}
double ProjectionLSQ::mac_y_dscale(ARGS) {return NAN;}
double ProjectionLSQ::mac_y_dk0(ARGS) {return NAN;}
double ProjectionLSQ::mac_y_dk1(ARGS) {return NAN;}
double ProjectionLSQ::mac_y_dx0(ARGS) {return NAN;}
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