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#ifndef lint |
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static const char RCSid[] = "$Id$"; |
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#endif |
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#include <stdlib.h> |
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#include <stdio.h> |
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#include <string.h> |
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|
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#include "g3sphere.h" |
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|
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static g3Float get_equator_rad(g3Vec cc,int c1,int c2) |
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{ |
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g3Float res; |
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|
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if (gb_epseq(cc[c2],0.0)) { |
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if (gb_epseq(cc[c1],0.0)) { |
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res = 0; |
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} else { |
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res = (cc[c1] > 0.0) ? M_PI/2.0 : -M_PI/2.0; |
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} |
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} else { |
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res = (cc[c2] < 0.0) ? M_PI - fabs(atan(cc[c1]/cc[c2])) : |
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fabs(atan(cc[c1]/cc[c2])); |
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if (cc[c1] < 0.0) |
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res *= -1.0; |
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} |
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return res; |
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} |
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|
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|
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|
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g3Vec g3s_cctomtr(g3Vec res,g3Vec cc) |
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{ |
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int copy = 0; |
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if (res == cc) { |
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res = g3v_create(); |
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copy = 1; |
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} |
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res[G3S_RAD] = g3v_length(cc); |
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res[G3S_MY] = res[G3S_RAD]*get_equator_rad(cc,1,0); |
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if (cc[2] >= res[G3S_RAD]) |
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res[G3S_MZ] = atanh((1.0 - GB_EPSILON)/res[G3S_RAD]); |
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else |
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res[G3S_MZ] = res[G3S_RAD]*atanh(cc[2]/res[G3S_RAD]); |
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if (copy) { |
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g3v_copy(cc,res); |
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g3v_free(res); |
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res = cc; |
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} |
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return res; |
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} |
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|
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g3Vec g3s_mtrtocc(g3Vec res,g3Vec mtr) |
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{ |
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g3Float r = mtr[G3S_RAD]; |
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|
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res[0] = r*cos(mtr[G3S_MY]/r)/cosh(mtr[G3S_MZ]/r); |
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res[1] = r*sin(mtr[G3S_MY]/r)/cosh(mtr[G3S_MZ]/r); |
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res[2] = r*tanh(mtr[G3S_MZ]/r); |
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return res; |
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} |
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|
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g3Vec g3s_cctotr(g3Vec res,g3Vec cc) |
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{ |
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g3Float len; |
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G3S_RESCOPY(res,cc); |
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if (gb_epseq((res[G3S_RAD] = g3v_length(cc)),0)) { |
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fprintf(stderr,"g3s_cctotr: zero vector\n"); |
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G3S_RESFREE(res,cc); |
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return NULL; |
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} |
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g3v_copy(res,cc); |
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res[1] = 0; |
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len = g3v_length(res); |
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if (gb_epseq(len,0.0)) { |
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res[G3S_THETA] = M_PI/2.0; |
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res[G3S_PHI] = gb_signum(cc[1])*M_PI/2.0; |
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} else { |
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res[G3S_THETA] = acos(cc[2]/len); |
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res[G3S_PHI] = atan(cc[1]/len); |
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if (cc[0] < 0.0) |
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res[G3S_THETA] *= -1.0; |
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} |
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res[G3S_RAD] = g3v_length(cc); |
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g3s_trwrap(res); |
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G3S_RESFREE(res,cc); |
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return res; |
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} |
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|
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g3Vec g3s_trtocc(g3Vec res,g3Vec tr) |
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{ |
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g3Vec v; |
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G3S_RESCOPY(res,tr); |
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v = g3v_create(); |
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g3v_set(v,0,-1,0); |
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g3v_set(res,0,0,1); |
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g3v_rotate(res,res,v,tr[G3S_THETA]); |
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g3v_cross(v,res,v); |
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g3v_rotate(res,res,v,tr[G3S_PHI]); |
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g3v_free(v); |
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g3v_scale(res,res,tr[G3S_RAD]); |
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G3S_RESFREE(res,tr); |
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return res; |
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} |
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|
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g3Vec g3s_sphtotr(g3Vec res,g3Vec sph) |
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{ |
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g3s_sphtocc(res,sph); |
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return g3s_cctotr(res,res); |
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} |
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|
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g3Vec g3s_trtosph(g3Vec res,g3Vec tr) |
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{ |
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g3s_trtocc(res,tr); |
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return g3s_cctosph(res,res); |
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} |
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|
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g3Vec g3s_sphtocc(g3Vec res,g3Vec sph) |
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{ |
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g3Float r,s2,t; |
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r = sph[G3S_RAD]; |
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s2 = sin(sph[G3S_THETA]); |
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t = sph[G3S_THETA]; |
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res[0] = r*cos(sph[G3S_PHI])*s2; |
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res[1] = r*sin(sph[G3S_PHI])*s2; |
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res[2] = r*cos(t); |
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return res; |
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} |
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|
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g3Vec g3s_cctosph(g3Vec res,g3Vec cc) |
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{ |
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int copy = 0; |
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if (res == cc) { |
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res = g3v_create(); |
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copy = 1; |
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} |
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res[G3S_RAD] = g3v_length(cc); |
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res[G3S_THETA] = acos(cc[2]/res[G3S_RAD]); |
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res[G3S_PHI] = get_equator_rad(cc,1,0); |
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if (copy) { |
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g3v_copy(cc,res); |
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g3v_free(res); |
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res = cc; |
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} |
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return res; |
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} |
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|
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g3Vec g3s_sphwrap(g3Vec sph) |
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{ |
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sph[G3S_THETA] = fmod((fmod(sph[G3S_THETA],2.0*M_PI) + 2.0*M_PI),2.0*M_PI); |
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sph[G3S_PHI] = fmod((fmod(sph[G3S_PHI],2.0*M_PI) + 2.0*M_PI),2.0*M_PI); |
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return sph; |
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} |
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|
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g3Vec g3s_trwrap(g3Vec tr) |
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{ |
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tr[G3S_THETA] = fmod((fmod(tr[G3S_THETA],2.0*M_PI) + 2.0*M_PI),2.0*M_PI); |
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tr[G3S_PHI] += M_PI; |
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tr[G3S_PHI] = fmod((fmod(tr[G3S_PHI],2.0*M_PI) + 2.0*M_PI),2.0*M_PI); |
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tr[G3S_PHI] -= M_PI; |
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return tr; |
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} |
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|
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g3Float g3s_dist(const g3Vec cc1,const g3Vec cc2) |
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{ |
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return acos(g3v_dot(cc1,cc2)); |
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} |
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|
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g3Float g3s_dist_norm(const g3Vec cc1,const g3Vec cc2) |
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{ |
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return acos(g3v_dot(g3v_normalize(cc1),g3v_normalize(cc2))); |
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} |
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|
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|
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|
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|
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#ifdef G3SPHERE_TEST |
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|
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int main(int argc,char** argv) |
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{ |
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g3Vec a,b,e,z,ang; |
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int i; |
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g3Float vo,v,vr; |
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|
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if (argc < 4) { |
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fprintf(stderr,"usage: %s <s | e> <x1> <y1> <z1>\n",argv[0]); |
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return EXIT_FAILURE; |
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} |
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|
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a = g3v_create(); |
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e = g3v_create(); |
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if (!strcmp(argv[1],"s")) { |
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g3v_set(a,1.0,DEG2RAD(atof(argv[2])),DEG2RAD(atof(argv[3]))); |
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g3v_print(g3s_sphtocc(a,a),stdout);; |
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//g3s_trtosph(a,a); |
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//g3v_print(a,stdout); |
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//printf("%f %f",RAD2DEG(a[1]),RAD2DEG(a[2])); |
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printf("\n"); |
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} else { |
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g3v_set(a,atof(argv[2]),atof(argv[3]),atof(argv[4])); |
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g3s_cctosph(a,a); |
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printf("%f %f",RAD2DEG(a[1]),RAD2DEG(a[2])); |
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printf("\n"); |
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} |
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exit(1); |
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for(i=0;i<10000;i++) { |
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a[0] = 1.0; |
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a[1] = M_PI/2.0*rand()/RAND_MAX; |
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a[2] = 2.0*M_PI*rand()/RAND_MAX; |
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g3s_sphtocc(a,a); |
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g3s_cctotr(e,a); |
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g3s_trtocc(e,e); |
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if (!g3v_epseq(e,a)) { |
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fprintf(stderr,"aaaa \n"); |
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g3v_print(a,stderr); |
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g3v_print(e,stderr); |
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} |
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} |
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fprintf(stderr,"ok\n"); |
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exit(1); |
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g3v_set(a,atof(argv[1]),DEG2RAD(atof(argv[2])),DEG2RAD(atof(argv[3]))); |
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b = g3v_create(); |
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z = g3v_create(); |
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ang = g3v_create(); |
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g3v_set(z,0,0,1); |
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g3v_normalize(a); |
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for(i=0;i<5000;i++) { |
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b[0] = 1.0; |
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b[1] = M_PI/2.0*rand()/RAND_MAX; |
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b[2] = 2.0*M_PI*rand()/RAND_MAX; |
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g3v_copy(ang,b); |
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g3s_sphtocc(b,b); |
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v = g3s_dist(a,b); |
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if (!gb_epseq(sqrt(2.0 - 2.0*cos(v)),g3v_length(g3v_sub(ang,b,a)))) |
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fprintf(stderr,"oops %f %f\n",sqrt(2.0 - 2.0*cos(v)),g3v_length(g3v_sub(ang,b,a))); |
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vo = (v > 0.2) ? 0.1 : (0.4 - v); |
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vr = sqrt(2.0 - 2.0*cos(0.2)); |
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if (fabs(a[0] - b[0]) > vr || fabs(a[1] - b[1]) > vr || fabs(a[2] - b[2]) > vr) { |
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vo -= 0.1; |
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if (v < 0.2) { |
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vo = 3; |
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fprintf(stderr,"autsch %f %f\n",v,vr); |
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} |
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} |
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g3s_cctosph(b,b); |
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printf("%f %f %f\n",b[G3S_THETA],b[G3S_PHI],vo); |
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} |
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//printf("%f\n",g3s_dist_norm(a,b)); |
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//g3v_print(g3s_cctomtr(b,a),stdout); |
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//g3v_print(g3s_cctosph(b,a),stdout); |
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//printf("\n"); |
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return EXIT_SUCCESS; |
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} |
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|
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#endif |
