2 /* Copyright (c) Mark J. Kilgard, 1994. */
5 (c) Copyright 1993, Silicon Graphics, Inc.
9 Permission to use, copy, modify, and distribute this software
10 for any purpose and without fee is hereby granted, provided
11 that the above copyright notice appear in all copies and that
12 both the copyright notice and this permission notice appear in
13 supporting documentation, and that the name of Silicon
14 Graphics, Inc. not be used in advertising or publicity
15 pertaining to distribution of the software without specific,
16 written prior permission.
18 THE MATERIAL EMBODIED ON THIS SOFTWARE IS PROVIDED TO YOU
19 "AS-IS" AND WITHOUT WARRANTY OF ANY KIND, EXPRESS, IMPLIED OR
20 OTHERWISE, INCLUDING WITHOUT LIMITATION, ANY WARRANTY OF
21 MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. IN NO
22 EVENT SHALL SILICON GRAPHICS, INC. BE LIABLE TO YOU OR ANYONE
23 ELSE FOR ANY DIRECT, SPECIAL, INCIDENTAL, INDIRECT OR
24 CONSEQUENTIAL DAMAGES OF ANY KIND, OR ANY DAMAGES WHATSOEVER,
25 INCLUDING WITHOUT LIMITATION, LOSS OF PROFIT, LOSS OF USE,
26 SAVINGS OR REVENUE, OR THE CLAIMS OF THIRD PARTIES, WHETHER OR
27 NOT SILICON GRAPHICS, INC. HAS BEEN ADVISED OF THE POSSIBILITY
28 OF SUCH LOSS, HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
29 ARISING OUT OF OR IN CONNECTION WITH THE POSSESSION, USE OR
30 PERFORMANCE OF THIS SOFTWARE.
32 US Government Users Restricted Rights
34 Use, duplication, or disclosure by the Government is subject to
35 restrictions set forth in FAR 52.227.19(c)(2) or subparagraph
36 (c)(1)(ii) of the Rights in Technical Data and Computer
37 Software clause at DFARS 252.227-7013 and/or in similar or
38 successor clauses in the FAR or the DOD or NASA FAR
39 Supplement. Unpublished-- rights reserved under the copyright
40 laws of the United States. Contractor/manufacturer is Silicon
41 Graphics, Inc., 2011 N. Shoreline Blvd., Mountain View, CA
44 OpenGL(TM) is a trademark of Silicon Graphics, Inc.
51 /* Some <math.h> files do not define M_PI... */
53 #define M_PI 3.14159265
56 static GLUquadricObj
*quadObj
;
58 #define QUAD_OBJ_INIT() { if(!quadObj) initQuadObj(); }
63 quadObj
= gluNewQuadric();
65 __glutFatalError("out of memory.");
70 glutWireSphere(GLdouble radius
, GLint slices
, GLint stacks
)
73 gluQuadricDrawStyle(quadObj
, GLU_LINE
);
74 gluQuadricNormals(quadObj
, GLU_SMOOTH
);
75 /* If we ever changed/used the texture or orientation state
76 of quadObj, we'd need to change it to the defaults here
77 with gluQuadricTexture and/or gluQuadricOrientation. */
78 gluSphere(quadObj
, radius
, slices
, stacks
);
82 glutSolidSphere(GLdouble radius
, GLint slices
, GLint stacks
)
85 gluQuadricDrawStyle(quadObj
, GLU_FILL
);
86 gluQuadricNormals(quadObj
, GLU_SMOOTH
);
87 /* If we ever changed/used the texture or orientation state
88 of quadObj, we'd need to change it to the defaults here
89 with gluQuadricTexture and/or gluQuadricOrientation. */
90 gluSphere(quadObj
, radius
, slices
, stacks
);
94 glutWireCone(GLdouble base
, GLdouble height
,
95 GLint slices
, GLint stacks
)
98 gluQuadricDrawStyle(quadObj
, GLU_LINE
);
99 gluQuadricNormals(quadObj
, GLU_SMOOTH
);
100 /* If we ever changed/used the texture or orientation state
101 of quadObj, we'd need to change it to the defaults here
102 with gluQuadricTexture and/or gluQuadricOrientation. */
103 gluCylinder(quadObj
, base
, 0.0, height
, slices
, stacks
);
107 glutSolidCone(GLdouble base
, GLdouble height
,
108 GLint slices
, GLint stacks
)
111 gluQuadricDrawStyle(quadObj
, GLU_FILL
);
112 gluQuadricNormals(quadObj
, GLU_SMOOTH
);
113 /* If we ever changed/used the texture or orientation state
114 of quadObj, we'd need to change it to the defaults here
115 with gluQuadricTexture and/or gluQuadricOrientation. */
116 gluCylinder(quadObj
, base
, 0.0, height
, slices
, stacks
);
122 drawBox(GLfloat size
, GLenum type
)
124 static GLfloat n
[6][3] =
133 static GLint faces
[6][4] =
145 v
[0][0] = v
[1][0] = v
[2][0] = v
[3][0] = -size
/ 2;
146 v
[4][0] = v
[5][0] = v
[6][0] = v
[7][0] = size
/ 2;
147 v
[0][1] = v
[1][1] = v
[4][1] = v
[5][1] = -size
/ 2;
148 v
[2][1] = v
[3][1] = v
[6][1] = v
[7][1] = size
/ 2;
149 v
[0][2] = v
[3][2] = v
[4][2] = v
[7][2] = -size
/ 2;
150 v
[1][2] = v
[2][2] = v
[5][2] = v
[6][2] = size
/ 2;
152 for (i
= 0; i
< 6; i
++) {
154 glNormal3fv(&n
[i
][0]);
155 glVertex3fv(&v
[faces
[i
][0]][0]);
156 glVertex3fv(&v
[faces
[i
][1]][0]);
157 glVertex3fv(&v
[faces
[i
][2]][0]);
158 glVertex3fv(&v
[faces
[i
][3]][0]);
165 glutWireCube(GLdouble size
)
167 drawBox(size
, GL_LINE_LOOP
);
171 glutSolidCube(GLdouble size
)
173 drawBox(size
, GL_QUADS
);
179 doughnut(GLfloat r
, GLfloat R
, GLint nsides
,
180 GLint rings
, GLenum type
)
183 GLfloat theta
, phi
, theta1
, phi1
;
184 GLfloat p0
[03], p1
[3], p2
[3], p3
[3];
185 GLfloat n0
[3], n1
[3], n2
[3], n3
[3];
187 for (i
= 0; i
< rings
; i
++) {
188 theta
= (GLfloat
) i
*2.0 * M_PI
/ rings
;
189 theta1
= (GLfloat
) (i
+ 1) * 2.0 * M_PI
/ rings
;
190 for (j
= 0; j
< nsides
; j
++) {
191 phi
= (GLfloat
) j
*2.0 * M_PI
/ nsides
;
192 phi1
= (GLfloat
) (j
+ 1) * 2.0 * M_PI
/ nsides
;
194 p0
[0] = cos(theta
) * (R
+ r
* cos(phi
));
195 p0
[1] = -sin(theta
) * (R
+ r
* cos(phi
));
196 p0
[2] = r
* sin(phi
);
198 p1
[0] = cos(theta1
) * (R
+ r
* cos(phi
));
199 p1
[1] = -sin(theta1
) * (R
+ r
* cos(phi
));
200 p1
[2] = r
* sin(phi
);
202 p2
[0] = cos(theta1
) * (R
+ r
* cos(phi1
));
203 p2
[1] = -sin(theta1
) * (R
+ r
* cos(phi1
));
204 p2
[2] = r
* sin(phi1
);
206 p3
[0] = cos(theta
) * (R
+ r
* cos(phi1
));
207 p3
[1] = -sin(theta
) * (R
+ r
* cos(phi1
));
208 p3
[2] = r
* sin(phi1
);
210 n0
[0] = cos(theta
) * (cos(phi
));
211 n0
[1] = -sin(theta
) * (cos(phi
));
214 n1
[0] = cos(theta1
) * (cos(phi
));
215 n1
[1] = -sin(theta1
) * (cos(phi
));
218 n2
[0] = cos(theta1
) * (cos(phi1
));
219 n2
[1] = -sin(theta1
) * (cos(phi1
));
222 n3
[0] = cos(theta
) * (cos(phi1
));
223 n3
[1] = -sin(theta
) * (cos(phi1
));
242 glutWireTorus(GLdouble innerRadius
, GLdouble outerRadius
,
243 GLint nsides
, GLint rings
)
245 doughnut(innerRadius
, outerRadius
,
246 nsides
, rings
, GL_LINE_LOOP
);
250 glutSolidTorus(GLdouble innerRadius
, GLdouble outerRadius
,
251 GLint nsides
, GLint rings
)
253 doughnut(innerRadius
, outerRadius
, nsides
, rings
, GL_QUADS
);
258 static GLfloat dodec
[20][3];
261 initDodecahedron(void)
265 alpha
= sqrt(2.0 / (3.0 + sqrt(5.0)));
266 beta
= 1.0 + sqrt(6.0 / (3.0 + sqrt(5.0)) -
267 2.0 + 2.0 * sqrt(2.0 / (3.0 + sqrt(5.0))));
269 dodec
[0][0] = -alpha
; dodec
[0][1] = 0; dodec
[0][2] = beta
;
270 dodec
[1][0] = alpha
; dodec
[1][1] = 0; dodec
[1][2] = beta
;
271 dodec
[2][0] = -1; dodec
[2][1] = -1; dodec
[2][2] = -1;
272 dodec
[3][0] = -1; dodec
[3][1] = -1; dodec
[3][2] = 1;
273 dodec
[4][0] = -1; dodec
[4][1] = 1; dodec
[4][2] = -1;
274 dodec
[5][0] = -1; dodec
[5][1] = 1; dodec
[5][2] = 1;
275 dodec
[6][0] = 1; dodec
[6][1] = -1; dodec
[6][2] = -1;
276 dodec
[7][0] = 1; dodec
[7][1] = -1; dodec
[7][2] = 1;
277 dodec
[8][0] = 1; dodec
[8][1] = 1; dodec
[8][2] = -1;
278 dodec
[9][0] = 1; dodec
[9][1] = 1; dodec
[9][2] = 1;
279 dodec
[10][0] = beta
; dodec
[10][1] = alpha
; dodec
[10][2] = 0;
280 dodec
[11][0] = beta
; dodec
[11][1] = -alpha
; dodec
[11][2] = 0;
281 dodec
[12][0] = -beta
; dodec
[12][1] = alpha
; dodec
[12][2] = 0;
282 dodec
[13][0] = -beta
; dodec
[13][1] = -alpha
; dodec
[13][2] = 0;
283 dodec
[14][0] = -alpha
; dodec
[14][1] = 0; dodec
[14][2] = -beta
;
284 dodec
[15][0] = alpha
; dodec
[15][1] = 0; dodec
[15][2] = -beta
;
285 dodec
[16][0] = 0; dodec
[16][1] = beta
; dodec
[16][2] = alpha
;
286 dodec
[17][0] = 0; dodec
[17][1] = beta
; dodec
[17][2] = -alpha
;
287 dodec
[18][0] = 0; dodec
[18][1] = -beta
; dodec
[18][2] = alpha
;
288 dodec
[19][0] = 0; dodec
[19][1] = -beta
; dodec
[19][2] = -alpha
;
293 #define DIFF3(_a,_b,_c) { \
294 (_c)[0] = (_a)[0] - (_b)[0]; \
295 (_c)[1] = (_a)[1] - (_b)[1]; \
296 (_c)[2] = (_a)[2] - (_b)[2]; \
300 crossprod(GLfloat v1
[3], GLfloat v2
[3], GLfloat prod
[3])
302 GLfloat p
[3]; /* in case prod == v1 or v2 */
304 p
[0] = v1
[1] * v2
[2] - v2
[1] * v1
[2];
305 p
[1] = v1
[2] * v2
[0] - v2
[2] * v1
[0];
306 p
[2] = v1
[0] * v2
[1] - v2
[0] * v1
[1];
313 normalize(GLfloat v
[3])
317 d
= sqrt(v
[0] * v
[0] + v
[1] * v
[1] + v
[2] * v
[2]);
319 __glutWarning("normalize: zero length vector");
329 pentagon(int a
, int b
, int c
, int d
, int e
, GLenum shadeType
)
331 GLfloat n0
[3], d1
[3], d2
[3];
333 DIFF3(dodec
[a
], dodec
[b
], d1
);
334 DIFF3(dodec
[b
], dodec
[c
], d2
);
335 crossprod(d1
, d2
, n0
);
340 glVertex3fv(&dodec
[a
][0]);
341 glVertex3fv(&dodec
[b
][0]);
342 glVertex3fv(&dodec
[c
][0]);
343 glVertex3fv(&dodec
[d
][0]);
344 glVertex3fv(&dodec
[e
][0]);
349 dodecahedron(GLenum type
)
351 static int inited
= 0;
357 pentagon(0, 1, 9, 16, 5, type
);
358 pentagon(1, 0, 3, 18, 7, type
);
359 pentagon(1, 7, 11, 10, 9, type
);
360 pentagon(11, 7, 18, 19, 6, type
);
361 pentagon(8, 17, 16, 9, 10, type
);
362 pentagon(2, 14, 15, 6, 19, type
);
363 pentagon(2, 13, 12, 4, 14, type
);
364 pentagon(2, 19, 18, 3, 13, type
);
365 pentagon(3, 0, 5, 12, 13, type
);
366 pentagon(6, 15, 8, 10, 11, type
);
367 pentagon(4, 17, 8, 15, 14, type
);
368 pentagon(4, 12, 5, 16, 17, type
);
373 glutWireDodecahedron(void)
375 dodecahedron(GL_LINE_LOOP
);
379 glutSolidDodecahedron(void)
381 dodecahedron(GL_TRIANGLE_FAN
);
387 recorditem(GLfloat
* n1
, GLfloat
* n2
, GLfloat
* n3
,
390 GLfloat q0
[3], q1
[3];
394 crossprod(q0
, q1
, q1
);
406 subdivide(GLfloat
* v0
, GLfloat
* v1
, GLfloat
* v2
,
410 GLfloat w0
[3], w1
[3], w2
[3];
415 for (i
= 0; i
< depth
; i
++) {
416 for (j
= 0; i
+ j
< depth
; j
++) {
418 for (n
= 0; n
< 3; n
++) {
419 w0
[n
] = (i
* v0
[n
] + j
* v1
[n
] + k
* v2
[n
]) / depth
;
420 w1
[n
] = ((i
+ 1) * v0
[n
] + j
* v1
[n
] + (k
- 1) * v2
[n
])
422 w2
[n
] = (i
* v0
[n
] + (j
+ 1) * v1
[n
] + (k
- 1) * v2
[n
])
425 l
= sqrt(w0
[0] * w0
[0] + w0
[1] * w0
[1] + w0
[2] * w0
[2]);
429 l
= sqrt(w1
[0] * w1
[0] + w1
[1] * w1
[1] + w1
[2] * w1
[2]);
433 l
= sqrt(w2
[0] * w2
[0] + w2
[1] * w2
[1] + w2
[2] * w2
[2]);
437 recorditem(w1
, w0
, w2
, shadeType
);
443 drawtriangle(int i
, GLfloat data
[][3], int ndx
[][3],
446 GLfloat
*x0
, *x1
, *x2
;
448 x0
= data
[ndx
[i
][0]];
449 x1
= data
[ndx
[i
][1]];
450 x2
= data
[ndx
[i
][2]];
451 subdivide(x0
, x1
, x2
, shadeType
);
454 /* octahedron data: The octahedron produced is centered at the
455 origin and has radius 1.0 */
456 static GLfloat odata
[6][3] =
466 static int ondex
[8][3] =
479 octahedron(GLenum shadeType
)
483 for (i
= 0; i
< 8; i
++) {
484 drawtriangle(i
, odata
, ondex
, shadeType
);
490 glutWireOctahedron(void)
492 octahedron(GL_LINE_LOOP
);
496 glutSolidOctahedron(void)
498 octahedron(GL_TRIANGLES
);
503 /* icosahedron data: These numbers are rigged to make an
504 icosahedron of radius 1.0 */
506 #define X .525731112119133606
507 #define Z .850650808352039932
509 static GLfloat idata
[12][3] =
525 static int index
[20][3] =
550 icosahedron(GLenum shadeType
)
554 for (i
= 0; i
< 20; i
++) {
555 drawtriangle(i
, idata
, index
, shadeType
);
561 glutWireIcosahedron(void)
563 icosahedron(GL_LINE_LOOP
);
567 glutSolidIcosahedron(void)
569 icosahedron(GL_TRIANGLES
);
574 /* tetrahedron data: */
576 #define T 1.73205080756887729
578 static GLfloat tdata
[4][3] =
586 static int tndex
[4][3] =
595 tetrahedron(GLenum shadeType
)
599 for (i
= 0; i
< 4; i
++)
600 drawtriangle(i
, tdata
, tndex
, shadeType
);
605 glutWireTetrahedron(void)
607 tetrahedron(GL_LINE_LOOP
);
611 glutSolidTetrahedron(void)
613 tetrahedron(GL_TRIANGLES
);