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r300g: fix TFP stride override.
[mesa.git] / progs / demos / morph3d.c
1
2 /*-
3 * morph3d.c - Shows 3D morphing objects
4 *
5 * Converted to GLUT by brianp on 1/1/98
6 *
7 * This program was inspired on a WindowsNT(R)'s screen saver. It was written
8 * from scratch and it was not based on any other source code.
9 *
10 * Porting it to xlock (the final objective of this code since the moment I
11 * decided to create it) was possible by comparing the original Mesa's gear
12 * demo with it's ported version, so thanks for Danny Sung for his indirect
13 * help (look at gear.c in xlock source tree). NOTE: At the moment this code
14 * was sent to Brian Paul for package inclusion, the XLock Version was not
15 * available. In fact, I'll wait it to appear on the next Mesa release (If you
16 * are reading this, it means THIS release) to send it for xlock package
17 * inclusion). It will probably there be a GLUT version too.
18 *
19 * Thanks goes also to Brian Paul for making it possible and inexpensive
20 * to use OpenGL at home.
21 *
22 * Since I'm not a native english speaker, my apologies for any gramatical
23 * mistake.
24 *
25 * My e-mail addresses are
26 *
27 * vianna@cat.cbpf.br
28 * and
29 * marcelo@venus.rdc.puc-rio.br
30 *
31 * Marcelo F. Vianna (Feb-13-1997)
32 */
33
34 /*
35 This document is VERY incomplete, but tries to describe the mathematics used
36 in the program. At this moment it just describes how the polyhedra are
37 generated. On futhurer versions, this document will be probabbly improved.
38
39 Since I'm not a native english speaker, my apologies for any gramatical
40 mistake.
41
42 Marcelo Fernandes Vianna
43 - Undergraduate in Computer Engeneering at Catholic Pontifical University
44 - of Rio de Janeiro (PUC-Rio) Brasil.
45 - e-mail: vianna@cat.cbpf.br or marcelo@venus.rdc.puc-rio.br
46 - Feb-13-1997
47
48 POLYHEDRA GENERATION
49
50 For the purpose of this program it's not sufficient to know the polyhedra
51 vertexes coordinates. Since the morphing algorithm applies a nonlinear
52 transformation over the surfaces (faces) of the polyhedron, each face has
53 to be divided into smaller ones. The morphing algorithm needs to transform
54 each vertex of these smaller faces individually. It's a very time consoming
55 task.
56
57 In order to reduce calculation overload, and since all the macro faces of
58 the polyhedron are transformed by the same way, the generation is made by
59 creating only one face of the polyhedron, morphing it and then rotating it
60 around the polyhedron center.
61
62 What we need to know is the face radius of the polyhedron (the radius of
63 the inscribed sphere) and the angle between the center of two adjacent
64 faces using the center of the sphere as the angle's vertex.
65
66 The face radius of the regular polyhedra are known values which I decided
67 to not waste my time calculating. Following is a table of face radius for
68 the regular polyhedra with edge length = 1:
69
70 TETRAHEDRON : 1/(2*sqrt(2))/sqrt(3)
71 CUBE : 1/2
72 OCTAHEDRON : 1/sqrt(6)
73 DODECAHEDRON : T^2 * sqrt((T+2)/5) / 2 -> where T=(sqrt(5)+1)/2
74 ICOSAHEDRON : (3*sqrt(3)+sqrt(15))/12
75
76 I've not found any reference about the mentioned angles, so I needed to
77 calculate them, not a trivial task until I figured out how :)
78 Curiously these angles are the same for the tetrahedron and octahedron.
79 A way to obtain this value is inscribing the tetrahedron inside the cube
80 by matching their vertexes. So you'll notice that the remaining unmatched
81 vertexes are in the same straight line starting in the cube/tetrahedron
82 center and crossing the center of each tetrahedron's face. At this point
83 it's easy to obtain the bigger angle of the isosceles triangle formed by
84 the center of the cube and two opposite vertexes on the same cube face.
85 The edges of this triangle have the following lenghts: sqrt(2) for the base
86 and sqrt(3)/2 for the other two other edges. So the angle we want is:
87 +-----------------------------------------------------------+
88 | 2*ARCSIN(sqrt(2)/sqrt(3)) = 109.47122063449069174 degrees |
89 +-----------------------------------------------------------+
90 For the cube this angle is obvious, but just for formality it can be
91 easily obtained because we also know it's isosceles edge lenghts:
92 sqrt(2)/2 for the base and 1/2 for the other two edges. So the angle we
93 want is:
94 +-----------------------------------------------------------+
95 | 2*ARCSIN((sqrt(2)/2)/1) = 90.000000000000000000 degrees |
96 +-----------------------------------------------------------+
97 For the octahedron we use the same idea used for the tetrahedron, but now
98 we inscribe the cube inside the octahedron so that all cubes's vertexes
99 matches excatly the center of each octahedron's face. It's now clear that
100 this angle is the same of the thetrahedron one:
101 +-----------------------------------------------------------+
102 | 2*ARCSIN(sqrt(2)/sqrt(3)) = 109.47122063449069174 degrees |
103 +-----------------------------------------------------------+
104 For the dodecahedron it's a little bit harder because it's only relationship
105 with the cube is useless to us. So we need to solve the problem by another
106 way. The concept of Face radius also exists on 2D polygons with the name
107 Edge radius:
108 Edge Radius For Pentagon (ERp)
109 ERp = (1/2)/TAN(36 degrees) * VRp = 0.6881909602355867905
110 (VRp is the pentagon's vertex radio).
111 Face Radius For Dodecahedron
112 FRd = T^2 * sqrt((T+2)/5) / 2 = 1.1135163644116068404
113 Why we need ERp? Well, ERp and FRd segments forms a 90 degrees angle,
114 completing this triangle, the lesser angle is a half of the angle we are
115 looking for, so this angle is:
116 +-----------------------------------------------------------+
117 | 2*ARCTAN(ERp/FRd) = 63.434948822922009981 degrees |
118 +-----------------------------------------------------------+
119 For the icosahedron we can use the same method used for dodecahedron (well
120 the method used for dodecahedron may be used for all regular polyhedra)
121 Edge Radius For Triangle (this one is well known: 1/3 of the triangle height)
122 ERt = sin(60)/3 = sqrt(3)/6 = 0.2886751345948128655
123 Face Radius For Icosahedron
124 FRi= (3*sqrt(3)+sqrt(15))/12 = 0.7557613140761707538
125 So the angle is:
126 +-----------------------------------------------------------+
127 | 2*ARCTAN(ERt/FRi) = 41.810314895778596167 degrees |
128 +-----------------------------------------------------------+
129
130 */
131
132
133 #include <stdio.h>
134 #include <stdlib.h>
135 #ifndef _WIN32
136 #include <unistd.h>
137 #endif
138 #include <GL/glut.h>
139 #include <math.h>
140
141 #define Scale 0.3
142
143 #define VectMul(X1,Y1,Z1,X2,Y2,Z2) (Y1)*(Z2)-(Z1)*(Y2),(Z1)*(X2)-(X1)*(Z2),(X1)*(Y2)-(Y1)*(X2)
144 #define sqr(A) ((A)*(A))
145
146 /* Increasing this values produces better image quality, the price is speed. */
147 /* Very low values produces erroneous/incorrect plotting */
148 #define tetradivisions 23
149 #define cubedivisions 20
150 #define octadivisions 21
151 #define dodecadivisions 10
152 #define icodivisions 15
153
154 #define tetraangle 109.47122063449069174
155 #define cubeangle 90.000000000000000000
156 #define octaangle 109.47122063449069174
157 #define dodecaangle 63.434948822922009981
158 #define icoangle 41.810314895778596167
159
160 #ifndef Pi
161 #define Pi 3.1415926535897932385
162 #endif
163 #define SQRT2 1.4142135623730951455
164 #define SQRT3 1.7320508075688771932
165 #define SQRT5 2.2360679774997898051
166 #define SQRT6 2.4494897427831778813
167 #define SQRT15 3.8729833462074170214
168 #define cossec36_2 0.8506508083520399322
169 #define cos72 0.3090169943749474241
170 #define sin72 0.9510565162951535721
171 #define cos36 0.8090169943749474241
172 #define sin36 0.5877852522924731292
173
174 /*************************************************************************/
175
176 static int mono=0;
177 static int smooth=1;
178 static int anim=1;
179 static GLint WindH, WindW;
180 static GLfloat step=0;
181 static GLfloat seno;
182 static int object;
183 static int edgedivisions;
184 static void (*draw_object)( void );
185 static float Magnitude;
186 static float *MaterialColor[20];
187
188 static float front_shininess[] = {60.0};
189 static float front_specular[] = { 0.7, 0.7, 0.7, 1.0 };
190 static float ambient[] = { 0.0, 0.0, 0.0, 1.0 };
191 static float diffuse[] = { 1.0, 1.0, 1.0, 1.0 };
192 static float position0[] = { 1.0, 1.0, 1.0, 0.0 };
193 static float position1[] = {-1.0,-1.0, 1.0, 0.0 };
194 static float lmodel_ambient[] = { 0.5, 0.5, 0.5, 1.0 };
195 static float lmodel_twoside[] = {GL_TRUE};
196
197 static float MaterialRed[] = { 0.7, 0.0, 0.0, 1.0 };
198 static float MaterialGreen[] = { 0.1, 0.5, 0.2, 1.0 };
199 static float MaterialBlue[] = { 0.0, 0.0, 0.7, 1.0 };
200 static float MaterialCyan[] = { 0.2, 0.5, 0.7, 1.0 };
201 static float MaterialYellow[] = { 0.7, 0.7, 0.0, 1.0 };
202 static float MaterialMagenta[] = { 0.6, 0.2, 0.5, 1.0 };
203 static float MaterialWhite[] = { 0.7, 0.7, 0.7, 1.0 };
204 static float MaterialGray[] = { 0.2, 0.2, 0.2, 1.0 };
205
206 #define TRIANGLE(Edge, Amp, Divisions, Z) \
207 { \
208 GLfloat Xf,Yf,Xa,Yb,Xf2,Yf2; \
209 GLfloat Factor,Factor1,Factor2; \
210 GLfloat VertX,VertY,VertZ,NeiAX,NeiAY,NeiAZ,NeiBX,NeiBY,NeiBZ; \
211 GLfloat Ax,Ay,Bx; \
212 int Ri,Ti; \
213 GLfloat Vr=(Edge)*SQRT3/3; \
214 GLfloat AmpVr2=(Amp)/sqr(Vr); \
215 GLfloat Zf=(Edge)*(Z); \
216 \
217 Ax=(Edge)*(+0.5/(Divisions)), Ay=(Edge)*(-SQRT3/(2*Divisions)); \
218 Bx=(Edge)*(-0.5/(Divisions)); \
219 \
220 for (Ri=1; Ri<=(Divisions); Ri++) { \
221 glBegin(GL_TRIANGLE_STRIP); \
222 for (Ti=0; Ti<Ri; Ti++) { \
223 Xf=(float)(Ri-Ti)*Ax + (float)Ti*Bx; \
224 Yf=Vr+(float)(Ri-Ti)*Ay + (float)Ti*Ay; \
225 Xa=Xf+0.001; Yb=Yf+0.001; \
226 Factor=1-(((Xf2=sqr(Xf))+(Yf2=sqr(Yf)))*AmpVr2); \
227 Factor1=1-((sqr(Xa)+Yf2)*AmpVr2); \
228 Factor2=1-((Xf2+sqr(Yb))*AmpVr2); \
229 VertX=Factor*Xf; VertY=Factor*Yf; VertZ=Factor*Zf; \
230 NeiAX=Factor1*Xa-VertX; NeiAY=Factor1*Yf-VertY; NeiAZ=Factor1*Zf-VertZ; \
231 NeiBX=Factor2*Xf-VertX; NeiBY=Factor2*Yb-VertY; NeiBZ=Factor2*Zf-VertZ; \
232 glNormal3f(VectMul(NeiAX, NeiAY, NeiAZ, NeiBX, NeiBY, NeiBZ)); \
233 glVertex3f(VertX, VertY, VertZ); \
234 \
235 Xf=(float)(Ri-Ti-1)*Ax + (float)Ti*Bx; \
236 Yf=Vr+(float)(Ri-Ti-1)*Ay + (float)Ti*Ay; \
237 Xa=Xf+0.001; Yb=Yf+0.001; \
238 Factor=1-(((Xf2=sqr(Xf))+(Yf2=sqr(Yf)))*AmpVr2); \
239 Factor1=1-((sqr(Xa)+Yf2)*AmpVr2); \
240 Factor2=1-((Xf2+sqr(Yb))*AmpVr2); \
241 VertX=Factor*Xf; VertY=Factor*Yf; VertZ=Factor*Zf; \
242 NeiAX=Factor1*Xa-VertX; NeiAY=Factor1*Yf-VertY; NeiAZ=Factor1*Zf-VertZ; \
243 NeiBX=Factor2*Xf-VertX; NeiBY=Factor2*Yb-VertY; NeiBZ=Factor2*Zf-VertZ; \
244 glNormal3f(VectMul(NeiAX, NeiAY, NeiAZ, NeiBX, NeiBY, NeiBZ)); \
245 glVertex3f(VertX, VertY, VertZ); \
246 \
247 } \
248 Xf=(float)Ri*Bx; \
249 Yf=Vr+(float)Ri*Ay; \
250 Xa=Xf+0.001; Yb=Yf+0.001; \
251 Factor=1-(((Xf2=sqr(Xf))+(Yf2=sqr(Yf)))*AmpVr2); \
252 Factor1=1-((sqr(Xa)+Yf2)*AmpVr2); \
253 Factor2=1-((Xf2+sqr(Yb))*AmpVr2); \
254 VertX=Factor*Xf; VertY=Factor*Yf; VertZ=Factor*Zf; \
255 NeiAX=Factor1*Xa-VertX; NeiAY=Factor1*Yf-VertY; NeiAZ=Factor1*Zf-VertZ; \
256 NeiBX=Factor2*Xf-VertX; NeiBY=Factor2*Yb-VertY; NeiBZ=Factor2*Zf-VertZ; \
257 glNormal3f(VectMul(NeiAX, NeiAY, NeiAZ, NeiBX, NeiBY, NeiBZ)); \
258 glVertex3f(VertX, VertY, VertZ); \
259 glEnd(); \
260 } \
261 }
262
263 #define SQUARE(Edge, Amp, Divisions, Z) \
264 { \
265 int Xi,Yi; \
266 GLfloat Xf,Yf,Y,Xf2,Yf2,Y2,Xa,Yb; \
267 GLfloat Factor,Factor1,Factor2; \
268 GLfloat VertX,VertY,VertZ,NeiAX,NeiAY,NeiAZ,NeiBX,NeiBY,NeiBZ; \
269 GLfloat Zf=(Edge)*(Z); \
270 GLfloat AmpVr2=(Amp)/sqr((Edge)*SQRT2/2); \
271 \
272 for (Yi=0; Yi<(Divisions); Yi++) { \
273 Yf=-((Edge)/2.0) + ((float)Yi)/(Divisions)*(Edge); \
274 Yf2=sqr(Yf); \
275 Y=Yf+1.0/(Divisions)*(Edge); \
276 Y2=sqr(Y); \
277 glBegin(GL_QUAD_STRIP); \
278 for (Xi=0; Xi<=(Divisions); Xi++) { \
279 Xf=-((Edge)/2.0) + ((float)Xi)/(Divisions)*(Edge); \
280 Xf2=sqr(Xf); \
281 \
282 Xa=Xf+0.001; Yb=Y+0.001; \
283 Factor=1-((Xf2+Y2)*AmpVr2); \
284 Factor1=1-((sqr(Xa)+Y2)*AmpVr2); \
285 Factor2=1-((Xf2+sqr(Yb))*AmpVr2); \
286 VertX=Factor*Xf; VertY=Factor*Y; VertZ=Factor*Zf; \
287 NeiAX=Factor1*Xa-VertX; NeiAY=Factor1*Y-VertY; NeiAZ=Factor1*Zf-VertZ; \
288 NeiBX=Factor2*Xf-VertX; NeiBY=Factor2*Yb-VertY; NeiBZ=Factor2*Zf-VertZ; \
289 glNormal3f(VectMul(NeiAX, NeiAY, NeiAZ, NeiBX, NeiBY, NeiBZ)); \
290 glVertex3f(VertX, VertY, VertZ); \
291 \
292 Xa=Xf+0.001; Yb=Yf+0.001; \
293 Factor=1-((Xf2+Yf2)*AmpVr2); \
294 Factor1=1-((sqr(Xa)+Yf2)*AmpVr2); \
295 Factor2=1-((Xf2+sqr(Yb))*AmpVr2); \
296 VertX=Factor*Xf; VertY=Factor*Yf; VertZ=Factor*Zf; \
297 NeiAX=Factor1*Xa-VertX; NeiAY=Factor1*Yf-VertY; NeiAZ=Factor1*Zf-VertZ; \
298 NeiBX=Factor2*Xf-VertX; NeiBY=Factor2*Yb-VertY; NeiBZ=Factor2*Zf-VertZ; \
299 glNormal3f(VectMul(NeiAX, NeiAY, NeiAZ, NeiBX, NeiBY, NeiBZ)); \
300 glVertex3f(VertX, VertY, VertZ); \
301 } \
302 glEnd(); \
303 } \
304 }
305
306 #define PENTAGON(Edge, Amp, Divisions, Z) \
307 { \
308 int Ri,Ti,Fi; \
309 GLfloat Xf,Yf,Xa,Yb,Xf2,Yf2; \
310 GLfloat x[6],y[6]; \
311 GLfloat Factor,Factor1,Factor2; \
312 GLfloat VertX,VertY,VertZ,NeiAX,NeiAY,NeiAZ,NeiBX,NeiBY,NeiBZ; \
313 GLfloat Zf=(Edge)*(Z); \
314 GLfloat AmpVr2=(Amp)/sqr((Edge)*cossec36_2); \
315 \
316 for(Fi=0;Fi<6;Fi++) { \
317 x[Fi]=-cos( Fi*2*Pi/5 + Pi/10 )/(Divisions)*cossec36_2*(Edge); \
318 y[Fi]=sin( Fi*2*Pi/5 + Pi/10 )/(Divisions)*cossec36_2*(Edge); \
319 } \
320 \
321 for (Ri=1; Ri<=(Divisions); Ri++) { \
322 for (Fi=0; Fi<5; Fi++) { \
323 glBegin(GL_TRIANGLE_STRIP); \
324 for (Ti=0; Ti<Ri; Ti++) { \
325 Xf=(float)(Ri-Ti)*x[Fi] + (float)Ti*x[Fi+1]; \
326 Yf=(float)(Ri-Ti)*y[Fi] + (float)Ti*y[Fi+1]; \
327 Xa=Xf+0.001; Yb=Yf+0.001; \
328 Factor=1-(((Xf2=sqr(Xf))+(Yf2=sqr(Yf)))*AmpVr2); \
329 Factor1=1-((sqr(Xa)+Yf2)*AmpVr2); \
330 Factor2=1-((Xf2+sqr(Yb))*AmpVr2); \
331 VertX=Factor*Xf; VertY=Factor*Yf; VertZ=Factor*Zf; \
332 NeiAX=Factor1*Xa-VertX; NeiAY=Factor1*Yf-VertY; NeiAZ=Factor1*Zf-VertZ; \
333 NeiBX=Factor2*Xf-VertX; NeiBY=Factor2*Yb-VertY; NeiBZ=Factor2*Zf-VertZ; \
334 glNormal3f(VectMul(NeiAX, NeiAY, NeiAZ, NeiBX, NeiBY, NeiBZ)); \
335 glVertex3f(VertX, VertY, VertZ); \
336 \
337 Xf=(float)(Ri-Ti-1)*x[Fi] + (float)Ti*x[Fi+1]; \
338 Yf=(float)(Ri-Ti-1)*y[Fi] + (float)Ti*y[Fi+1]; \
339 Xa=Xf+0.001; Yb=Yf+0.001; \
340 Factor=1-(((Xf2=sqr(Xf))+(Yf2=sqr(Yf)))*AmpVr2); \
341 Factor1=1-((sqr(Xa)+Yf2)*AmpVr2); \
342 Factor2=1-((Xf2+sqr(Yb))*AmpVr2); \
343 VertX=Factor*Xf; VertY=Factor*Yf; VertZ=Factor*Zf; \
344 NeiAX=Factor1*Xa-VertX; NeiAY=Factor1*Yf-VertY; NeiAZ=Factor1*Zf-VertZ; \
345 NeiBX=Factor2*Xf-VertX; NeiBY=Factor2*Yb-VertY; NeiBZ=Factor2*Zf-VertZ; \
346 glNormal3f(VectMul(NeiAX, NeiAY, NeiAZ, NeiBX, NeiBY, NeiBZ)); \
347 glVertex3f(VertX, VertY, VertZ); \
348 \
349 } \
350 Xf=(float)Ri*x[Fi+1]; \
351 Yf=(float)Ri*y[Fi+1]; \
352 Xa=Xf+0.001; Yb=Yf+0.001; \
353 Factor=1-(((Xf2=sqr(Xf))+(Yf2=sqr(Yf)))*AmpVr2); \
354 Factor1=1-((sqr(Xa)+Yf2)*AmpVr2); \
355 Factor2=1-((Xf2+sqr(Yb))*AmpVr2); \
356 VertX=Factor*Xf; VertY=Factor*Yf; VertZ=Factor*Zf; \
357 NeiAX=Factor1*Xa-VertX; NeiAY=Factor1*Yf-VertY; NeiAZ=Factor1*Zf-VertZ; \
358 NeiBX=Factor2*Xf-VertX; NeiBY=Factor2*Yb-VertY; NeiBZ=Factor2*Zf-VertZ; \
359 glNormal3f(VectMul(NeiAX, NeiAY, NeiAZ, NeiBX, NeiBY, NeiBZ)); \
360 glVertex3f(VertX, VertY, VertZ); \
361 glEnd(); \
362 } \
363 } \
364 }
365
366 static void draw_tetra( void )
367 {
368 GLuint list;
369
370 list = glGenLists( 1 );
371 glNewList( list, GL_COMPILE );
372 TRIANGLE(2,seno,edgedivisions,0.5/SQRT6);
373 glEndList();
374
375 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[0]);
376 glCallList(list);
377 glPushMatrix();
378 glRotatef(180,0,0,1);
379 glRotatef(-tetraangle,1,0,0);
380 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[1]);
381 glCallList(list);
382 glPopMatrix();
383 glPushMatrix();
384 glRotatef(180,0,1,0);
385 glRotatef(-180+tetraangle,0.5,SQRT3/2,0);
386 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[2]);
387 glCallList(list);
388 glPopMatrix();
389 glRotatef(180,0,1,0);
390 glRotatef(-180+tetraangle,0.5,-SQRT3/2,0);
391 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[3]);
392 glCallList(list);
393
394 glDeleteLists(list,1);
395 }
396
397 static void draw_cube( void )
398 {
399 GLuint list;
400
401 list = glGenLists( 1 );
402 glNewList( list, GL_COMPILE );
403 SQUARE(2, seno, edgedivisions, 0.5)
404 glEndList();
405
406 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[0]);
407 glCallList(list);
408 glRotatef(cubeangle,1,0,0);
409 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[1]);
410 glCallList(list);
411 glRotatef(cubeangle,1,0,0);
412 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[2]);
413 glCallList(list);
414 glRotatef(cubeangle,1,0,0);
415 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[3]);
416 glCallList(list);
417 glRotatef(cubeangle,0,1,0);
418 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[4]);
419 glCallList(list);
420 glRotatef(2*cubeangle,0,1,0);
421 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[5]);
422 glCallList(list);
423
424 glDeleteLists(list,1);
425 }
426
427 static void draw_octa( void )
428 {
429 GLuint list;
430
431 list = glGenLists( 1 );
432 glNewList( list, GL_COMPILE );
433 TRIANGLE(2,seno,edgedivisions,1/SQRT6);
434 glEndList();
435
436 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[0]);
437 glCallList(list);
438 glPushMatrix();
439 glRotatef(180,0,0,1);
440 glRotatef(-180+octaangle,1,0,0);
441 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[1]);
442 glCallList(list);
443 glPopMatrix();
444 glPushMatrix();
445 glRotatef(180,0,1,0);
446 glRotatef(-octaangle,0.5,SQRT3/2,0);
447 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[2]);
448 glCallList(list);
449 glPopMatrix();
450 glPushMatrix();
451 glRotatef(180,0,1,0);
452 glRotatef(-octaangle,0.5,-SQRT3/2,0);
453 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[3]);
454 glCallList(list);
455 glPopMatrix();
456 glRotatef(180,1,0,0);
457 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[4]);
458 glCallList(list);
459 glPushMatrix();
460 glRotatef(180,0,0,1);
461 glRotatef(-180+octaangle,1,0,0);
462 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[5]);
463 glCallList(list);
464 glPopMatrix();
465 glPushMatrix();
466 glRotatef(180,0,1,0);
467 glRotatef(-octaangle,0.5,SQRT3/2,0);
468 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[6]);
469 glCallList(list);
470 glPopMatrix();
471 glRotatef(180,0,1,0);
472 glRotatef(-octaangle,0.5,-SQRT3/2,0);
473 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[7]);
474 glCallList(list);
475
476 glDeleteLists(list,1);
477 }
478
479 static void draw_dodeca( void )
480 {
481 GLuint list;
482
483 #define TAU ((SQRT5+1)/2)
484
485 list = glGenLists( 1 );
486 glNewList( list, GL_COMPILE );
487 PENTAGON(1,seno,edgedivisions,sqr(TAU) * sqrt((TAU+2)/5) / 2);
488 glEndList();
489
490 glPushMatrix();
491 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[0]);
492 glCallList(list);
493 glRotatef(180,0,0,1);
494 glPushMatrix();
495 glRotatef(-dodecaangle,1,0,0);
496 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[1]);
497 glCallList(list);
498 glPopMatrix();
499 glPushMatrix();
500 glRotatef(-dodecaangle,cos72,sin72,0);
501 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[2]);
502 glCallList(list);
503 glPopMatrix();
504 glPushMatrix();
505 glRotatef(-dodecaangle,cos72,-sin72,0);
506 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[3]);
507 glCallList(list);
508 glPopMatrix();
509 glPushMatrix();
510 glRotatef(dodecaangle,cos36,-sin36,0);
511 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[4]);
512 glCallList(list);
513 glPopMatrix();
514 glRotatef(dodecaangle,cos36,sin36,0);
515 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[5]);
516 glCallList(list);
517 glPopMatrix();
518 glRotatef(180,1,0,0);
519 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[6]);
520 glCallList(list);
521 glRotatef(180,0,0,1);
522 glPushMatrix();
523 glRotatef(-dodecaangle,1,0,0);
524 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[7]);
525 glCallList(list);
526 glPopMatrix();
527 glPushMatrix();
528 glRotatef(-dodecaangle,cos72,sin72,0);
529 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[8]);
530 glCallList(list);
531 glPopMatrix();
532 glPushMatrix();
533 glRotatef(-dodecaangle,cos72,-sin72,0);
534 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[9]);
535 glCallList(list);
536 glPopMatrix();
537 glPushMatrix();
538 glRotatef(dodecaangle,cos36,-sin36,0);
539 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[10]);
540 glCallList(list);
541 glPopMatrix();
542 glRotatef(dodecaangle,cos36,sin36,0);
543 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[11]);
544 glCallList(list);
545
546 glDeleteLists(list,1);
547 }
548
549 static void draw_ico( void )
550 {
551 GLuint list;
552
553 list = glGenLists( 1 );
554 glNewList( list, GL_COMPILE );
555 TRIANGLE(1.5,seno,edgedivisions,(3*SQRT3+SQRT15)/12);
556 glEndList();
557
558 glPushMatrix();
559
560 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[0]);
561 glCallList(list);
562 glPushMatrix();
563 glRotatef(180,0,0,1);
564 glRotatef(-icoangle,1,0,0);
565 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[1]);
566 glCallList(list);
567 glPushMatrix();
568 glRotatef(180,0,1,0);
569 glRotatef(-180+icoangle,0.5,SQRT3/2,0);
570 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[2]);
571 glCallList(list);
572 glPopMatrix();
573 glRotatef(180,0,1,0);
574 glRotatef(-180+icoangle,0.5,-SQRT3/2,0);
575 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[3]);
576 glCallList(list);
577 glPopMatrix();
578 glPushMatrix();
579 glRotatef(180,0,1,0);
580 glRotatef(-180+icoangle,0.5,SQRT3/2,0);
581 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[4]);
582 glCallList(list);
583 glPushMatrix();
584 glRotatef(180,0,1,0);
585 glRotatef(-180+icoangle,0.5,SQRT3/2,0);
586 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[5]);
587 glCallList(list);
588 glPopMatrix();
589 glRotatef(180,0,0,1);
590 glRotatef(-icoangle,1,0,0);
591 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[6]);
592 glCallList(list);
593 glPopMatrix();
594 glRotatef(180,0,1,0);
595 glRotatef(-180+icoangle,0.5,-SQRT3/2,0);
596 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[7]);
597 glCallList(list);
598 glPushMatrix();
599 glRotatef(180,0,1,0);
600 glRotatef(-180+icoangle,0.5,-SQRT3/2,0);
601 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[8]);
602 glCallList(list);
603 glPopMatrix();
604 glRotatef(180,0,0,1);
605 glRotatef(-icoangle,1,0,0);
606 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[9]);
607 glCallList(list);
608 glPopMatrix();
609 glRotatef(180,1,0,0);
610 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[10]);
611 glCallList(list);
612 glPushMatrix();
613 glRotatef(180,0,0,1);
614 glRotatef(-icoangle,1,0,0);
615 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[11]);
616 glCallList(list);
617 glPushMatrix();
618 glRotatef(180,0,1,0);
619 glRotatef(-180+icoangle,0.5,SQRT3/2,0);
620 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[12]);
621 glCallList(list);
622 glPopMatrix();
623 glRotatef(180,0,1,0);
624 glRotatef(-180+icoangle,0.5,-SQRT3/2,0);
625 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[13]);
626 glCallList(list);
627 glPopMatrix();
628 glPushMatrix();
629 glRotatef(180,0,1,0);
630 glRotatef(-180+icoangle,0.5,SQRT3/2,0);
631 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[14]);
632 glCallList(list);
633 glPushMatrix();
634 glRotatef(180,0,1,0);
635 glRotatef(-180+icoangle,0.5,SQRT3/2,0);
636 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[15]);
637 glCallList(list);
638 glPopMatrix();
639 glRotatef(180,0,0,1);
640 glRotatef(-icoangle,1,0,0);
641 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[16]);
642 glCallList(list);
643 glPopMatrix();
644 glRotatef(180,0,1,0);
645 glRotatef(-180+icoangle,0.5,-SQRT3/2,0);
646 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[17]);
647 glCallList(list);
648 glPushMatrix();
649 glRotatef(180,0,1,0);
650 glRotatef(-180+icoangle,0.5,-SQRT3/2,0);
651 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[18]);
652 glCallList(list);
653 glPopMatrix();
654 glRotatef(180,0,0,1);
655 glRotatef(-icoangle,1,0,0);
656 glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, MaterialColor[19]);
657 glCallList(list);
658
659 glDeleteLists(list,1);
660 }
661
662 static void draw ( void ) {
663 glClear( GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT );
664
665 glPushMatrix();
666
667 glTranslatef( 0.0, 0.0, -10.0 );
668 glScalef( Scale*WindH/WindW, Scale, Scale );
669 glTranslatef(2.5*WindW/WindH*sin(step*1.11),2.5*cos(step*1.25*1.11),0);
670 glRotatef(step*100,1,0,0);
671 glRotatef(step*95,0,1,0);
672 glRotatef(step*90,0,0,1);
673
674 seno=(sin(step)+1.0/3.0)*(4.0/5.0)*Magnitude;
675
676 draw_object();
677
678 glPopMatrix();
679
680 glFlush();
681
682 glutSwapBuffers();
683
684 }
685
686 static void idle_( void )
687 {
688 static double t0 = -1.;
689 double dt, t = glutGet(GLUT_ELAPSED_TIME) / 1000.0;
690 if (t0 < 0.0)
691 t0 = t;
692 dt = t - t0;
693 t0 = t;
694
695 step += dt;
696
697 glutPostRedisplay();
698 }
699
700 static void reshape( int width, int height )
701 {
702 glViewport(0, 0, WindW=(GLint)width, WindH=(GLint)height);
703 glMatrixMode(GL_PROJECTION);
704 glLoadIdentity();
705 glFrustum( -1.0, 1.0, -1.0, 1.0, 5.0, 15.0 );
706 glMatrixMode(GL_MODELVIEW);
707 }
708
709 static void pinit(void);
710
711 static void key( unsigned char k, int x, int y )
712 {
713 (void) x;
714 (void) y;
715 switch (k) {
716 case '1': object=1; break;
717 case '2': object=2; break;
718 case '3': object=3; break;
719 case '4': object=4; break;
720 case '5': object=5; break;
721 case ' ': mono^=1; break;
722 case 's': smooth^=1; break;
723 case 'a':
724 anim^=1;
725 if (anim)
726 glutIdleFunc( idle_ );
727 else
728 glutIdleFunc(NULL);
729 break;
730 case 27:
731 exit(0);
732 }
733 pinit();
734 glutPostRedisplay();
735 }
736
737 static void pinit(void)
738 {
739 switch(object) {
740 case 1:
741 draw_object=draw_tetra;
742 MaterialColor[0]=MaterialRed;
743 MaterialColor[1]=MaterialGreen;
744 MaterialColor[2]=MaterialBlue;
745 MaterialColor[3]=MaterialWhite;
746 edgedivisions=tetradivisions;
747 Magnitude=2.5;
748 break;
749 case 2:
750 draw_object=draw_cube;
751 MaterialColor[0]=MaterialRed;
752 MaterialColor[1]=MaterialGreen;
753 MaterialColor[2]=MaterialCyan;
754 MaterialColor[3]=MaterialMagenta;
755 MaterialColor[4]=MaterialYellow;
756 MaterialColor[5]=MaterialBlue;
757 edgedivisions=cubedivisions;
758 Magnitude=2.0;
759 break;
760 case 3:
761 draw_object=draw_octa;
762 MaterialColor[0]=MaterialRed;
763 MaterialColor[1]=MaterialGreen;
764 MaterialColor[2]=MaterialBlue;
765 MaterialColor[3]=MaterialWhite;
766 MaterialColor[4]=MaterialCyan;
767 MaterialColor[5]=MaterialMagenta;
768 MaterialColor[6]=MaterialGray;
769 MaterialColor[7]=MaterialYellow;
770 edgedivisions=octadivisions;
771 Magnitude=2.5;
772 break;
773 case 4:
774 draw_object=draw_dodeca;
775 MaterialColor[ 0]=MaterialRed;
776 MaterialColor[ 1]=MaterialGreen;
777 MaterialColor[ 2]=MaterialCyan;
778 MaterialColor[ 3]=MaterialBlue;
779 MaterialColor[ 4]=MaterialMagenta;
780 MaterialColor[ 5]=MaterialYellow;
781 MaterialColor[ 6]=MaterialGreen;
782 MaterialColor[ 7]=MaterialCyan;
783 MaterialColor[ 8]=MaterialRed;
784 MaterialColor[ 9]=MaterialMagenta;
785 MaterialColor[10]=MaterialBlue;
786 MaterialColor[11]=MaterialYellow;
787 edgedivisions=dodecadivisions;
788 Magnitude=2.0;
789 break;
790 case 5:
791 draw_object=draw_ico;
792 MaterialColor[ 0]=MaterialRed;
793 MaterialColor[ 1]=MaterialGreen;
794 MaterialColor[ 2]=MaterialBlue;
795 MaterialColor[ 3]=MaterialCyan;
796 MaterialColor[ 4]=MaterialYellow;
797 MaterialColor[ 5]=MaterialMagenta;
798 MaterialColor[ 6]=MaterialRed;
799 MaterialColor[ 7]=MaterialGreen;
800 MaterialColor[ 8]=MaterialBlue;
801 MaterialColor[ 9]=MaterialWhite;
802 MaterialColor[10]=MaterialCyan;
803 MaterialColor[11]=MaterialYellow;
804 MaterialColor[12]=MaterialMagenta;
805 MaterialColor[13]=MaterialRed;
806 MaterialColor[14]=MaterialGreen;
807 MaterialColor[15]=MaterialBlue;
808 MaterialColor[16]=MaterialCyan;
809 MaterialColor[17]=MaterialYellow;
810 MaterialColor[18]=MaterialMagenta;
811 MaterialColor[19]=MaterialGray;
812 edgedivisions=icodivisions;
813 Magnitude=2.5;
814 break;
815 }
816 if (mono) {
817 int loop;
818 for (loop=0; loop<20; loop++) MaterialColor[loop]=MaterialGray;
819 }
820 if (smooth) {
821 glShadeModel( GL_SMOOTH );
822 } else {
823 glShadeModel( GL_FLAT );
824 }
825
826 }
827
828 int main(int argc, char **argv)
829 {
830 printf("Morph 3D - Shows morphing platonic polyhedra\n");
831 printf("Author: Marcelo Fernandes Vianna (vianna@cat.cbpf.br)\n\n");
832 printf(" [1] - Tetrahedron\n");
833 printf(" [2] - Hexahedron (Cube)\n");
834 printf(" [3] - Octahedron\n");
835 printf(" [4] - Dodecahedron\n");
836 printf(" [5] - Icosahedron\n");
837 printf("[SPACE] - Toggle colored faces\n");
838 printf("[RETURN] - Toggle smooth/flat shading\n");
839 printf(" [ESC] - Quit\n");
840
841 object=1;
842
843 glutInitWindowSize(640,480);
844 glutInit(&argc, argv);
845
846 glutInitDisplayMode( GLUT_DEPTH | GLUT_DOUBLE | GLUT_RGB );
847
848 if (glutCreateWindow("Morph 3D - Shows morphing platonic polyhedra") <= 0) {
849 exit(0);
850 }
851
852 glClearDepth(1.0);
853 glClearColor( 0.0, 0.0, 0.0, 1.0 );
854 glColor3f( 1.0, 1.0, 1.0 );
855
856 glClear( GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT );
857 glFlush();
858 glutSwapBuffers();
859
860 glLightfv(GL_LIGHT0, GL_AMBIENT, ambient);
861 glLightfv(GL_LIGHT0, GL_DIFFUSE, diffuse);
862 glLightfv(GL_LIGHT0, GL_POSITION, position0);
863 glLightfv(GL_LIGHT1, GL_AMBIENT, ambient);
864 glLightfv(GL_LIGHT1, GL_DIFFUSE, diffuse);
865 glLightfv(GL_LIGHT1, GL_POSITION, position1);
866 glLightModelfv(GL_LIGHT_MODEL_AMBIENT, lmodel_ambient);
867 glLightModelfv(GL_LIGHT_MODEL_TWO_SIDE, lmodel_twoside);
868 glEnable(GL_LIGHTING);
869 glEnable(GL_LIGHT0);
870 glEnable(GL_LIGHT1);
871 glEnable(GL_DEPTH_TEST);
872 glEnable(GL_NORMALIZE);
873
874 glMaterialfv(GL_FRONT_AND_BACK, GL_SHININESS, front_shininess);
875 glMaterialfv(GL_FRONT_AND_BACK, GL_SPECULAR, front_specular);
876
877 glHint(GL_FOG_HINT, GL_FASTEST);
878 glHint(GL_PERSPECTIVE_CORRECTION_HINT, GL_FASTEST);
879 glHint(GL_POLYGON_SMOOTH_HINT, GL_FASTEST);
880
881 pinit();
882
883 glutReshapeFunc( reshape );
884 glutKeyboardFunc( key );
885 glutIdleFunc( idle_ );
886 glutDisplayFunc( draw );
887 glutMainLoop();
888
889 return 0;
890 }