add support for sphaeric projection

1 files changed, 143 insertions, 0 deletions

diff --git a/src/ProjectionSphaeric.cxx b/src/ProjectionSphaeric.cxx
new file mode 100644
index 0000000..d70089e
--- /dev/null
+++ b/src/ProjectionSphaeric.cxx
@@ -0,0 +1,143 @@
+// 
+// Copyright 2005 by Johannes Hofmann
+//
+// This library is free software; you can redistribute it and/or
+// modify it under the terms of the GNU Library General Public
+// License as published by the Free Software Foundation; either
+// version 2 of the License, or (at your option) any later version.
+//
+// This library 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
+// Library General Public License for more details.
+//
+// You should have received a copy of the GNU Library General Public
+// License along with this library; if not, write to the Free Software
+// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307
+// USA.
+//
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <math.h>
+
+#include "ProjectionSphaeric.H"
+
+int
+ProjectionSphaeric::comp_params(Hill *m1, Hill *m2, ViewParams *parms) {
+  Hill *tmp;
+  double a_center_tmp, scale_tmp, a_nick_tmp;
+  double d_m1_2, d_m2_2, d_m1_m2_2;
+
+  if (m1->x > m2->x) {
+    tmp = m1;
+    m1 = m2;
+    m2 = tmp;
+  }
+
+  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);
+
+  scale_tmp    = comp_scale(m1, m2, d_m1_m2_2);
+  a_center_tmp = comp_dir_view(m1, m2, d_m1_2, d_m2_2, scale_tmp);
+  a_nick_tmp   = comp_nick_view(m1, m2, d_m1_2, scale_tmp, a_center_tmp);
+
+  if (isnan(a_center_tmp) || isnan(scale_tmp) || isnan(a_nick_tmp)) {
+    return 1;
+  } else {
+    
+    parms->a_center = a_center_tmp;
+    parms->scale    = scale_tmp;
+    parms->a_nick   = a_nick_tmp;
+
+    // use the point with greater distance from center for tilt computation 
+    if (d_m1_2 > d_m2_2) {
+      parms->a_tilt = comp_tilt_view(m1, scale_tmp, a_center_tmp, a_nick_tmp);
+    } else {
+      parms->a_tilt = comp_tilt_view(m2, scale_tmp, a_center_tmp, a_nick_tmp);
+    }
+
+    return 0;
+  }
+}
+
+void 
+ProjectionSphaeric::set_coordinates(Hill *m, const ViewParams *parms) {
+  double x_tmp, y_tmp;
+
+  x_tmp = m->a_view * parms->scale;
+  y_tmp = - (m->a_nick - parms->a_nick) * parms->scale;
+
+  // rotate by a_tilt;
+  m->x = (int) rint(x_tmp * cos(parms->a_tilt) - y_tmp * sin(parms->a_tilt));
+  m->y = (int) rint(x_tmp * sin(parms->a_tilt) + y_tmp * cos(parms->a_tilt));
+}
+
+double
+ProjectionSphaeric::comp_scale(Hill *m1, Hill *m2, double d_m1_m2_2) {
+  double sign1 = 1.0;
+  double nick_m1 = m1->a_nick;
+  double nick_m2 = m2->a_nick;
+  double dir_m1 = m1->alph;
+  double dir_m2 = m2->alph;
+
+  return  (pow((d_m1_m2_2 / ((dir_m2 * dir_m2) - (2.0 * ((dir_m2 * dir_m1) + (nick_m2 * nick_m1))) + (nick_m2 * nick_m2) + (dir_m1 * dir_m1) + (nick_m1 * nick_m1))), (1.0 / 2.0)) * sign1); 
+}
+
+double
+ProjectionSphaeric::comp_dir_view(Hill *m1, Hill *m2, double d_m1_2, double d_m2_2, double scale) {
+  double sign3 = 1.0;
+  double dir_view;
+  double nick_m1 = m1->a_nick;
+  double nick_m2 = m2->a_nick;
+  double dir_m1 = m1->alph;
+  double dir_m2 = m2->alph;
+
+  dir_view = (((pow((16.0 * pow(scale, 4.0) * (((scale * scale) * ((2.0 * (((scale * scale) * ((dir_m1 * ((dir_m1 * ((nick_m1 * ((nick_m1 * ((nick_m2 * ((4.0 * nick_m1) - (6.0 * nick_m2))) - (nick_m1 * nick_m1))) + (nick_m2 * ((4.0 * (nick_m2 * nick_m2)) + (6.0 * (dir_m2 * dir_m2)) + (dir_m1 * dir_m1))))) - pow(nick_m2, 4.0))) + (nick_m1 * nick_m2 * dir_m2 * ((nick_m1 * ((12.0 * nick_m2) - (8.0 * nick_m1))) - (8.0 * (nick_m2 * nick_m2)))))) + ((dir_m2 * dir_m2) * ((nick_m1 * ((nick_m2 * (dir_m2 * dir_m2)) - pow(nick_m1, 3.0))) - pow(nick_m2, 4.0))))) + ((d_m1_2 + d_m2_2) * ((((nick_m1 * nick_m1) + (nick_m2 * nick_m2)) * ((dir_m1 * dir_m1) + (dir_m2 * dir_m2))) + pow(nick_m1, 4.0) + pow(nick_m2, 4.0))))) + (4.0 * ((dir_m1 * ((nick_m1 * ((nick_m1 * dir_m2 * (((scale * scale) * ((nick_m1 * nick_m1) + (dir_m1 * dir_m1) + (dir_m2 * dir_m2))) - d_m1_2 - d_m2_2)) - (dir_m1 * nick_m2 * (d_m2_2 + d_m1_2)))) + ((nick_m2 * nick_m2) * dir_m2 * (((scale * scale) * ((nick_m2 * nick_m2) + (dir_m1 * dir_m1) + (dir_m2 * dir_m2))) - d_m1_2 - d_m2_2)))) - (nick_m1 * nick_m2 * (dir_m2 * dir_m2) * (d_m1_2 + d_m2_2)))) + ((scale * scale) * ((nick_m1 * ((nick_m1 * ((nick_m2 * (((dir_m2 * dir_m2) * ((8.0 * nick_m1) - (12.0 * nick_m2))) + (nick_m1 * ((nick_m1 * ((6.0 * nick_m1) - (15.0 * nick_m2))) + (20.0 * (nick_m2 * nick_m2)))) - (15.0 * pow(nick_m2, 3.0)))) - ((dir_m1 * dir_m1) * ((dir_m1 * dir_m1) + (6.0 * (dir_m2 * dir_m2)))) - pow(dir_m2, 4.0) - pow(nick_m1, 4.0))) + (nick_m2 * ((8.0 * dir_m2 * ((dir_m2 * ((nick_m2 * nick_m2) - (dir_m1 * dir_m2))) - pow(dir_m1, 3.0))) + (6.0 * pow(nick_m2, 4.0)))))) - ((nick_m2 * nick_m2) * (((dir_m1 * dir_m1) * ((6.0 * (dir_m2 * dir_m2)) + (dir_m1 * dir_m1))) + pow(dir_m2, 4.0) + pow(nick_m2, 4.0))))) + (nick_m1 * nick_m2 * (d_m1_2 + d_m2_2) * ((8.0 * ((dir_m1 * dir_m2) - (nick_m1 * nick_m1) - (nick_m2 * nick_m2))) + (12.0 * nick_m1 * nick_m2))))) + (((d_m1_2 * ((2.0 * d_m2_2) - d_m1_2)) - (d_m2_2 * d_m2_2)) * ((nick_m1 * (nick_m1 - (2.0 * nick_m2))) + (nick_m2 * nick_m2))))), (1.0 / 2.0)) * sign3 / 2.0) + (2.0 * (scale * scale) * (((scale * scale) * ((dir_m1 * ((nick_m1 * (nick_m1 - (2.0 * nick_m2))) + (nick_m2 * nick_m2) - (dir_m2 * (dir_m2 + dir_m1)) + (dir_m1 * dir_m1))) + (dir_m2 * ((dir_m2 * dir_m2) + (nick_m1 * (nick_m1 - (2.0 * nick_m2))) + (nick_m2 * nick_m2))))) + ((dir_m2 - dir_m1) * (d_m1_2 - d_m2_2))))) / (4.0 * pow(scale, 4.0) * ((dir_m1 * (dir_m1 - (2.0 * dir_m2))) + (dir_m2 * dir_m2) + (nick_m1 * (nick_m1 - (2.0 * nick_m2))) + (nick_m2 * nick_m2))));
+
+  return dir_view;
+}
+
+
+double
+ProjectionSphaeric::comp_nick_view(Hill *m1, Hill *m2, double d_m1_2, double scale, double dir_view) {
+  double nick_view;
+  double sign1 = -1.0;
+  double nick_m1 = m1->a_nick;
+  double dir_m1 = m1->alph;
+
+  nick_view = ((pow(((d_m1_2 / (scale * scale)) - pow((dir_view - dir_m1), 2.0)), (1.0 / 2.0)) * sign1) + nick_m1);
+
+  return nick_view;
+}
+
+double
+ProjectionSphaeric::comp_tilt_view(Hill *m, double scale, double dir_view, double nick_view) {
+  double sin_a_tilt1, sin_a_tilt2, sin_a_tilt, res;
+  double x_tmp = (m->alph - dir_view) * scale;
+  double y_tmp = (m->a_nick - nick_view) * scale;
+  double x = m->x;
+  double y = m->y;
+
+
+  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;
+  
+}