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//
// Copyright 2006 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 "ProjectionTangentialLSQ.H"
static double sec(double a) {
return 1.0 / cos(a);
}
#include "lsq_funcs.c"
static double k0 = 1.0, k1 = 0.0;
static double
comp_tilt(double tan_nick_view, double tan_dir_view, double n_scale,
double tan_nick_m, double tan_dir_m,
double x, double y, double pi_d);
int
ProjectionTangentialLSQ::comp_params(const Hill *m1, const Hill *m2, ViewParams *parms) {
const Hill *tmp;
double a_center_tmp, scale_tmp, a_nick_tmp;
scale_tmp = comp_scale(m1->alph, m2->alph, m1->x, m2->x);
if (isnan(scale_tmp) || scale_tmp < 100.0) {
// try again with mountains swapped
tmp = m1;
m1 = m2;
m2 = tmp;
scale_tmp = comp_scale(m1->alph, m2->alph, m1->x, m2->x);
}
a_center_tmp = comp_center_angle(m1->alph, m2->alph, m1->x, m2->x);
a_nick_tmp = atan ((m1->y + tan(m1->a_nick) * parms->scale) /
(parms->scale - m1->y * tan(m1->a_nick)));
if (isnan(a_center_tmp) || isnan(scale_tmp) ||
scale_tmp < 100.0 || isnan(a_nick_tmp)) {
return 1;
} else {
parms->a_center = a_center_tmp;
parms->scale = scale_tmp;
parms->a_nick = a_nick_tmp;
optimize(m1, m2, parms);
return 0;
}
}
double
ProjectionTangentialLSQ::angle_dist(double a1, double a2) {
double ret;
a1 = fmod(a1, 2.0 * pi_d);
if (a1 < 0.0) {
a1 = a1 + 2.0 * pi_d;
}
a2 = fmod(a2, 2.0 * pi_d);
if (a2 < 0.0) {
a2 = a2 + 2.0 * pi_d;
}
ret = fabs(a1 - a2);
if (ret > pi_d) {
ret = 2.0 * pi_d - ret;
}
return ret;
}
int
ProjectionTangentialLSQ::optimize(const Hill *m1, const Hill *m2, ViewParams *parms) {
int i;
double tan_nick_view, tan_dir_view, n_scale;
double tan_nick_m1, tan_dir_m1;
double tan_nick_m2, tan_dir_m2;
double d_m1_2, d_m2_2, d_m1_m2_2;
d_m1_2 = pow(m1->x, 2.0) + pow(m1->y, 2.0);
d_m2_2 = pow(m2->x, 2.0) + pow(m2->y, 2.0);
d_m1_m2_2 = pow(m1->x - m2->x, 2.0) + pow(m1->y - m2->y, 2.0);
tan_nick_view = tan(parms->a_nick);
tan_dir_view = tan(parms->a_center);
n_scale = parms->scale;
tan_dir_m1 = tan(m1->alph);
tan_nick_m1 = tan(m1->a_nick);
tan_dir_m2 = tan(m2->alph);
tan_nick_m2 = tan(m2->a_nick);
#if 0
for (i=0; i<5; i++) {
opt_step(&tan_nick_view, &tan_dir_view, &n_scale,
tan_dir_m1, tan_nick_m1, tan_dir_m2, tan_nick_m2,
d_m1_2, d_m2_2, d_m1_m2_2);
}
#endif
if (isnan(tan_dir_view) || isnan(tan_nick_view) || isnan(n_scale)) {
fprintf(stderr, "No solution found.\n");
return 1;
}
parms->a_center = atan(tan_dir_view);
parms->a_nick = atan(tan_nick_view);
if (parms->a_center > 2.0 * pi_d) {
parms->a_center = parms->a_center - 2.0 * pi_d;
} else if (parms->a_center < 0.0) {
parms->a_center = parms->a_center + 2.0 * pi_d;
}
// atan(tan_dir_view) is not the only possible solution.
// Choose the one which is close to m1->alph.
if (angle_dist(parms->a_center, m1->alph) > pi_d/2.0) {
parms->a_center = parms->a_center + pi_d;
}
parms->scale = n_scale;
// use the point with greater distance from center for tilt computation
if (d_m1_2 > d_m2_2) {
parms->a_tilt = comp_tilt(tan_nick_view, tan_dir_view, n_scale,
tan_nick_m1, tan_dir_m1,
(double) m1->x, (double) m1->y, pi_d);
} else {
parms->a_tilt = comp_tilt(tan_nick_view, tan_dir_view, n_scale,
tan_nick_m2, tan_dir_m2,
(double) m2->x, (double) m2->y, pi_d);
}
return 0;
}
void
ProjectionTangentialLSQ::get_coordinates(double a_view, double a_nick,
const ViewParams *parms, double *x, double *y) {
*x = mac_x(parms->a_center, parms->a_nick, parms->a_tilt, parms->scale, k0, k1, a_view, -a_nick);
*y = mac_y(parms->a_center, parms->a_nick, parms->a_tilt, parms->scale, k0, k1, a_view, -a_nick);
}
double
ProjectionTangentialLSQ::comp_center_angle(double a1, double a2, double d1, double d2) {
double sign1 = 1.0;
double tan_acenter, tan_a1, tan_a2, a_center;
tan_a1 = tan(a1);
tan_a2 = tan(a2);
tan_acenter = (((pow(((pow((1.0 + (tan_a1 * tan_a2)), 2.0) * ((d1 * d1) + (d2 * d2))) + (2.0 * d1 * d2 * ((2.0 * ((tan_a2 * tan_a1) - (tan_a2 * tan_a2))) - ((tan_a1 * tan_a1) * (2.0 + (tan_a2 * tan_a2))) - 1.0))), (1.0 / 2.0)) * sign1) + ((1.0 - (tan_a1 * tan_a2)) * (d1 - d2))) / (2.0 * ((d2 * tan_a2) - (d1 * tan_a1))));
a_center = atan(tan_acenter);
if (a_center > 2.0 * pi_d) {
a_center = a_center - 2.0 * pi_d;
} else if (a_center < 0.0) {
a_center = a_center + 2.0 * pi_d;
}
// atan(tan_dir_view) is not the only possible solution.
// Choose the one which is close to m1->alph.
if (fabs(a_center - a1) > pi_d/2.0) {
a_center = a_center + pi_d;
}
return a_center;
}
double
ProjectionTangentialLSQ::comp_scale(double a1, double a2, double d1, double d2) {
double sign1 = 1.0;
double sc, tan_a1, tan_a2;
tan_a1 = tan(a1);
tan_a2 = tan(a2);
sc = ((((1.0 + (tan_a1 * tan_a2)) * (d1 - d2)) - (sign1 * pow((((1.0 + pow((tan_a1 * tan_a2), 2.0)) * ((d1 * d1) + (d2 * d2))) + (2.0 * ((tan_a1 * tan_a2 * pow((d1 + d2), 2.0)) - (d1 * d2 * (((tan_a1 * tan_a1) * (2.0 + (tan_a2 * tan_a2))) + 1.0 + (2.0 * (tan_a2 * tan_a2))))))), (1.0 / 2.0)))) / (2.0 * (tan_a1 - tan_a2)));
return sc;
}
static double
comp_tilt(double tan_nick_view, double tan_dir_view, double n_scale,
double tan_nick_m, double tan_dir_m,
double x, double y, double pi_d) {
double y_tmp, x_tmp, sin_a_tilt1, sin_a_tilt2, sin_a_tilt, res;
y_tmp = - (((tan_nick_view - tan_nick_m) * n_scale) /
(tan_nick_m * tan_nick_view + 1));
x_tmp = - (((tan_dir_view - tan_dir_m) * n_scale) /
(tan_dir_m * tan_dir_view + 1));
sin_a_tilt1 = - (y * - pow(x*x + y*y - y_tmp*y_tmp, 0.5) - x * y_tmp) /
(x*x + y*y);
sin_a_tilt2 = - (y * pow(x*x + y*y - y_tmp*y_tmp, 0.5) - x * y_tmp) /
(x*x + y*y);
sin_a_tilt = fabs(sin_a_tilt1) < fabs(sin_a_tilt2)?sin_a_tilt1:sin_a_tilt2;
res = asin(sin_a_tilt);
if (res > pi_d / 4.0) {
res = res - pi_d / 2.0;
} else if (res < -pi_d / 4.0) {
res = res + pi_d / 2.0;
}
return res;
}
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