1 |
#ifndef lint |
2 |
static const char RCSid[] = "$Id$"; |
3 |
#endif |
4 |
#include <stdlib.h> |
5 |
#include <stdio.h> |
6 |
#include <string.h> |
7 |
|
8 |
#include "g3sphere.h" |
9 |
|
10 |
static g3Float get_equator_rad(g3Vec cc,int c1,int c2) |
11 |
{ |
12 |
g3Float res; |
13 |
|
14 |
if (gb_epseq(cc[c2],0.0)) { |
15 |
if (gb_epseq(cc[c1],0.0)) { |
16 |
res = 0; |
17 |
} else { |
18 |
res = (cc[c1] > 0.0) ? M_PI/2.0 : -M_PI/2.0; |
19 |
} |
20 |
} else { |
21 |
res = (cc[c2] < 0.0) ? M_PI - fabs(atan(cc[c1]/cc[c2])) : |
22 |
fabs(atan(cc[c1]/cc[c2])); |
23 |
if (cc[c1] < 0.0) |
24 |
res *= -1.0; |
25 |
} |
26 |
return res; |
27 |
} |
28 |
|
29 |
|
30 |
|
31 |
g3Vec g3s_cctomtr(g3Vec res,g3Vec cc) |
32 |
{ |
33 |
int copy = 0; |
34 |
if (res == cc) { |
35 |
res = g3v_create(); |
36 |
copy = 1; |
37 |
} |
38 |
res[G3S_RAD] = g3v_length(cc); |
39 |
res[G3S_MY] = res[G3S_RAD]*get_equator_rad(cc,1,0); |
40 |
if (cc[2] >= res[G3S_RAD]) |
41 |
res[G3S_MZ] = atanh((1.0 - GB_EPSILON)/res[G3S_RAD]); |
42 |
else |
43 |
res[G3S_MZ] = res[G3S_RAD]*atanh(cc[2]/res[G3S_RAD]); |
44 |
if (copy) { |
45 |
g3v_copy(cc,res); |
46 |
g3v_free(res); |
47 |
res = cc; |
48 |
} |
49 |
return res; |
50 |
} |
51 |
|
52 |
g3Vec g3s_mtrtocc(g3Vec res,g3Vec mtr) |
53 |
{ |
54 |
g3Float r = mtr[G3S_RAD]; |
55 |
|
56 |
res[0] = r*cos(mtr[G3S_MY]/r)/cosh(mtr[G3S_MZ]/r); |
57 |
res[1] = r*sin(mtr[G3S_MY]/r)/cosh(mtr[G3S_MZ]/r); |
58 |
res[2] = r*tanh(mtr[G3S_MZ]/r); |
59 |
return res; |
60 |
} |
61 |
|
62 |
g3Vec g3s_cctotr(g3Vec res,g3Vec cc) |
63 |
{ |
64 |
g3Float len; |
65 |
G3S_RESCOPY(res,cc); |
66 |
if (gb_epseq((res[G3S_RAD] = g3v_length(cc)),0)) { |
67 |
fprintf(stderr,"g3s_cctotr: zero vector\n"); |
68 |
G3S_RESFREE(res,cc); |
69 |
return NULL; |
70 |
} |
71 |
g3v_copy(res,cc); |
72 |
res[1] = 0; |
73 |
len = g3v_length(res); |
74 |
if (gb_epseq(len,0.0)) { |
75 |
res[G3S_THETA] = M_PI/2.0; |
76 |
res[G3S_PHI] = gb_signum(cc[1])*M_PI/2.0; |
77 |
} else { |
78 |
res[G3S_THETA] = acos(cc[2]/len); |
79 |
res[G3S_PHI] = atan(cc[1]/len); |
80 |
if (cc[0] < 0.0) |
81 |
res[G3S_THETA] *= -1.0; |
82 |
} |
83 |
res[G3S_RAD] = g3v_length(cc); |
84 |
g3s_trwrap(res); |
85 |
G3S_RESFREE(res,cc); |
86 |
return res; |
87 |
} |
88 |
|
89 |
g3Vec g3s_trtocc(g3Vec res,g3Vec tr) |
90 |
{ |
91 |
g3Vec v; |
92 |
G3S_RESCOPY(res,tr); |
93 |
v = g3v_create(); |
94 |
g3v_set(v,0,-1,0); |
95 |
g3v_set(res,0,0,1); |
96 |
g3v_rotate(res,res,v,tr[G3S_THETA]); |
97 |
g3v_cross(v,res,v); |
98 |
g3v_rotate(res,res,v,tr[G3S_PHI]); |
99 |
g3v_free(v); |
100 |
g3v_scale(res,res,tr[G3S_RAD]); |
101 |
G3S_RESFREE(res,tr); |
102 |
return res; |
103 |
} |
104 |
|
105 |
g3Vec g3s_sphtotr(g3Vec res,g3Vec sph) |
106 |
{ |
107 |
g3s_sphtocc(res,sph); |
108 |
return g3s_cctotr(res,res); |
109 |
} |
110 |
|
111 |
g3Vec g3s_trtosph(g3Vec res,g3Vec tr) |
112 |
{ |
113 |
g3s_trtocc(res,tr); |
114 |
return g3s_cctosph(res,res); |
115 |
} |
116 |
|
117 |
g3Vec g3s_sphtocc(g3Vec res,g3Vec sph) |
118 |
{ |
119 |
g3Float r,s2,t; |
120 |
r = sph[G3S_RAD]; |
121 |
s2 = sin(sph[G3S_THETA]); |
122 |
t = sph[G3S_THETA]; |
123 |
res[0] = r*cos(sph[G3S_PHI])*s2; |
124 |
res[1] = r*sin(sph[G3S_PHI])*s2; |
125 |
res[2] = r*cos(t); |
126 |
return res; |
127 |
} |
128 |
|
129 |
g3Vec g3s_cctosph(g3Vec res,g3Vec cc) |
130 |
{ |
131 |
int copy = 0; |
132 |
if (res == cc) { |
133 |
res = g3v_create(); |
134 |
copy = 1; |
135 |
} |
136 |
res[G3S_RAD] = g3v_length(cc); |
137 |
res[G3S_THETA] = acos(cc[2]/res[G3S_RAD]); |
138 |
res[G3S_PHI] = get_equator_rad(cc,1,0); |
139 |
if (copy) { |
140 |
g3v_copy(cc,res); |
141 |
g3v_free(res); |
142 |
res = cc; |
143 |
} |
144 |
return res; |
145 |
} |
146 |
|
147 |
g3Vec g3s_sphwrap(g3Vec sph) |
148 |
{ |
149 |
sph[G3S_THETA] = fmod((fmod(sph[G3S_THETA],2.0*M_PI) + 2.0*M_PI),2.0*M_PI); |
150 |
sph[G3S_PHI] = fmod((fmod(sph[G3S_PHI],2.0*M_PI) + 2.0*M_PI),2.0*M_PI); |
151 |
return sph; |
152 |
} |
153 |
|
154 |
g3Vec g3s_trwrap(g3Vec tr) |
155 |
{ |
156 |
tr[G3S_THETA] = fmod((fmod(tr[G3S_THETA],2.0*M_PI) + 2.0*M_PI),2.0*M_PI); |
157 |
tr[G3S_PHI] += M_PI; |
158 |
tr[G3S_PHI] = fmod((fmod(tr[G3S_PHI],2.0*M_PI) + 2.0*M_PI),2.0*M_PI); |
159 |
tr[G3S_PHI] -= M_PI; |
160 |
return tr; |
161 |
} |
162 |
|
163 |
g3Float g3s_dist(const g3Vec cc1,const g3Vec cc2) |
164 |
{ |
165 |
return acos(g3v_dot(cc1,cc2)); |
166 |
} |
167 |
|
168 |
g3Float g3s_dist_norm(const g3Vec cc1,const g3Vec cc2) |
169 |
{ |
170 |
return acos(g3v_dot(g3v_normalize(cc1),g3v_normalize(cc2))); |
171 |
} |
172 |
|
173 |
|
174 |
|
175 |
|
176 |
#ifdef G3SPHERE_TEST |
177 |
|
178 |
int main(int argc,char** argv) |
179 |
{ |
180 |
g3Vec a,b,e,z,ang; |
181 |
int i; |
182 |
g3Float vo,v,vr; |
183 |
|
184 |
if (argc < 4) { |
185 |
fprintf(stderr,"usage: %s <s | e> <x1> <y1> <z1>\n",argv[0]); |
186 |
return EXIT_FAILURE; |
187 |
} |
188 |
|
189 |
a = g3v_create(); |
190 |
e = g3v_create(); |
191 |
if (!strcmp(argv[1],"s")) { |
192 |
g3v_set(a,1.0,DEG2RAD(atof(argv[2])),DEG2RAD(atof(argv[3]))); |
193 |
g3v_print(g3s_sphtocc(a,a),stdout);; |
194 |
//g3s_trtosph(a,a); |
195 |
//g3v_print(a,stdout); |
196 |
//printf("%f %f",RAD2DEG(a[1]),RAD2DEG(a[2])); |
197 |
printf("\n"); |
198 |
} else { |
199 |
g3v_set(a,atof(argv[2]),atof(argv[3]),atof(argv[4])); |
200 |
g3s_cctosph(a,a); |
201 |
printf("%f %f",RAD2DEG(a[1]),RAD2DEG(a[2])); |
202 |
printf("\n"); |
203 |
} |
204 |
exit(1); |
205 |
for(i=0;i<10000;i++) { |
206 |
a[0] = 1.0; |
207 |
a[1] = M_PI/2.0*rand()/RAND_MAX; |
208 |
a[2] = 2.0*M_PI*rand()/RAND_MAX; |
209 |
g3s_sphtocc(a,a); |
210 |
g3s_cctotr(e,a); |
211 |
g3s_trtocc(e,e); |
212 |
if (!g3v_epseq(e,a)) { |
213 |
fprintf(stderr,"aaaa \n"); |
214 |
g3v_print(a,stderr); |
215 |
g3v_print(e,stderr); |
216 |
} |
217 |
} |
218 |
fprintf(stderr,"ok\n"); |
219 |
exit(1); |
220 |
g3v_set(a,atof(argv[1]),DEG2RAD(atof(argv[2])),DEG2RAD(atof(argv[3]))); |
221 |
b = g3v_create(); |
222 |
z = g3v_create(); |
223 |
ang = g3v_create(); |
224 |
g3v_set(z,0,0,1); |
225 |
g3v_normalize(a); |
226 |
for(i=0;i<5000;i++) { |
227 |
b[0] = 1.0; |
228 |
b[1] = M_PI/2.0*rand()/RAND_MAX; |
229 |
b[2] = 2.0*M_PI*rand()/RAND_MAX; |
230 |
g3v_copy(ang,b); |
231 |
g3s_sphtocc(b,b); |
232 |
v = g3s_dist(a,b); |
233 |
if (!gb_epseq(sqrt(2.0 - 2.0*cos(v)),g3v_length(g3v_sub(ang,b,a)))) |
234 |
fprintf(stderr,"oops %f %f\n",sqrt(2.0 - 2.0*cos(v)),g3v_length(g3v_sub(ang,b,a))); |
235 |
vo = (v > 0.2) ? 0.1 : (0.4 - v); |
236 |
vr = sqrt(2.0 - 2.0*cos(0.2)); |
237 |
if (fabs(a[0] - b[0]) > vr || fabs(a[1] - b[1]) > vr || fabs(a[2] - b[2]) > vr) { |
238 |
vo -= 0.1; |
239 |
if (v < 0.2) { |
240 |
vo = 3; |
241 |
fprintf(stderr,"autsch %f %f\n",v,vr); |
242 |
} |
243 |
} |
244 |
g3s_cctosph(b,b); |
245 |
printf("%f %f %f\n",b[G3S_THETA],b[G3S_PHI],vo); |
246 |
} |
247 |
//printf("%f\n",g3s_dist_norm(a,b)); |
248 |
//g3v_print(g3s_cctomtr(b,a),stdout); |
249 |
//g3v_print(g3s_cctosph(b,a),stdout); |
250 |
//printf("\n"); |
251 |
return EXIT_SUCCESS; |
252 |
} |
253 |
|
254 |
#endif |