2 ** License Applicability. Except to the extent portions of this file are
3 ** made subject to an alternative license as permitted in the SGI Free
4 ** Software License B, Version 1.1 (the "License"), the contents of this
5 ** file are subject only to the provisions of the License. You may not use
6 ** this file except in compliance with the License. You may obtain a copy
7 ** of the License at Silicon Graphics, Inc., attn: Legal Services, 1600
8 ** Amphitheatre Parkway, Mountain View, CA 94043-1351, or at:
10 ** http://oss.sgi.com/projects/FreeB
12 ** Note that, as provided in the License, the Software is distributed on an
13 ** "AS IS" basis, with ALL EXPRESS AND IMPLIED WARRANTIES AND CONDITIONS
14 ** DISCLAIMED, INCLUDING, WITHOUT LIMITATION, ANY IMPLIED WARRANTIES AND
15 ** CONDITIONS OF MERCHANTABILITY, SATISFACTORY QUALITY, FITNESS FOR A
16 ** PARTICULAR PURPOSE, AND NON-INFRINGEMENT.
18 ** Original Code. The Original Code is: OpenGL Sample Implementation,
19 ** Version 1.2.1, released January 26, 2000, developed by Silicon Graphics,
20 ** Inc. The Original Code is Copyright (c) 1991-2000 Silicon Graphics, Inc.
21 ** Copyright in any portions created by third parties is as indicated
22 ** elsewhere herein. All Rights Reserved.
24 ** Additional Notice Provisions: The application programming interfaces
25 ** established by SGI in conjunction with the Original Code are The
26 ** OpenGL(R) Graphics System: A Specification (Version 1.2.1), released
27 ** April 1, 1999; The OpenGL(R) Graphics System Utility Library (Version
28 ** 1.3), released November 4, 1998; and OpenGL(R) Graphics with the X
29 ** Window System(R) (Version 1.3), released October 19, 1998. This software
30 ** was created using the OpenGL(R) version 1.2.1 Sample Implementation
31 ** published by SGI, but has not been independently verified as being
32 ** compliant with the OpenGL(R) version 1.2.1 Specification.
43 ** Make m an identity matrix
45 static void __gluMakeIdentityd(GLdouble m
[16])
47 m
[0+4*0] = 1; m
[0+4*1] = 0; m
[0+4*2] = 0; m
[0+4*3] = 0;
48 m
[1+4*0] = 0; m
[1+4*1] = 1; m
[1+4*2] = 0; m
[1+4*3] = 0;
49 m
[2+4*0] = 0; m
[2+4*1] = 0; m
[2+4*2] = 1; m
[2+4*3] = 0;
50 m
[3+4*0] = 0; m
[3+4*1] = 0; m
[3+4*2] = 0; m
[3+4*3] = 1;
53 static void __gluMakeIdentityf(GLfloat m
[16])
55 m
[0+4*0] = 1; m
[0+4*1] = 0; m
[0+4*2] = 0; m
[0+4*3] = 0;
56 m
[1+4*0] = 0; m
[1+4*1] = 1; m
[1+4*2] = 0; m
[1+4*3] = 0;
57 m
[2+4*0] = 0; m
[2+4*1] = 0; m
[2+4*2] = 1; m
[2+4*3] = 0;
58 m
[3+4*0] = 0; m
[3+4*1] = 0; m
[3+4*2] = 0; m
[3+4*3] = 1;
62 gluOrtho2D(GLdouble left
, GLdouble right
, GLdouble bottom
, GLdouble top
)
64 glOrtho(left
, right
, bottom
, top
, -1, 1);
67 #define __glPi 3.14159265358979323846
70 gluPerspective(GLdouble fovy
, GLdouble aspect
, GLdouble zNear
, GLdouble zFar
)
73 double sine
, cotangent
, deltaZ
;
74 double radians
= fovy
/ 2 * __glPi
/ 180;
76 deltaZ
= zFar
- zNear
;
78 if ((deltaZ
== 0) || (sine
== 0) || (aspect
== 0)) {
81 cotangent
= COS(radians
) / sine
;
83 __gluMakeIdentityd(&m
[0][0]);
84 m
[0][0] = cotangent
/ aspect
;
86 m
[2][2] = -(zFar
+ zNear
) / deltaZ
;
88 m
[3][2] = -2 * zNear
* zFar
/ deltaZ
;
90 glMultMatrixd(&m
[0][0]);
93 static void normalize(float v
[3])
97 r
= sqrt( v
[0]*v
[0] + v
[1]*v
[1] + v
[2]*v
[2] );
105 static void cross(float v1
[3], float v2
[3], float result
[3])
107 result
[0] = v1
[1]*v2
[2] - v1
[2]*v2
[1];
108 result
[1] = v1
[2]*v2
[0] - v1
[0]*v2
[2];
109 result
[2] = v1
[0]*v2
[1] - v1
[1]*v2
[0];
113 gluLookAt(GLdouble eyex
, GLdouble eyey
, GLdouble eyez
, GLdouble centerx
,
114 GLdouble centery
, GLdouble centerz
, GLdouble upx
, GLdouble upy
,
117 float forward
[3], side
[3], up
[3];
120 forward
[0] = centerx
- eyex
;
121 forward
[1] = centery
- eyey
;
122 forward
[2] = centerz
- eyez
;
130 /* Side = forward x up */
131 cross(forward
, up
, side
);
134 /* Recompute up as: up = side x forward */
135 cross(side
, forward
, up
);
137 __gluMakeIdentityf(&m
[0][0]);
146 m
[0][2] = -forward
[0];
147 m
[1][2] = -forward
[1];
148 m
[2][2] = -forward
[2];
150 glMultMatrixf(&m
[0][0]);
151 glTranslated(-eyex
, -eyey
, -eyez
);
154 static void __gluMultMatrixVecd(const GLdouble matrix
[16], const GLdouble in
[4],
159 for (i
=0; i
<4; i
++) {
161 in
[0] * matrix
[0*4+i
] +
162 in
[1] * matrix
[1*4+i
] +
163 in
[2] * matrix
[2*4+i
] +
164 in
[3] * matrix
[3*4+i
];
169 ** Invert 4x4 matrix.
170 ** Contributed by David Moore (See Mesa bug #6748)
172 static int __gluInvertMatrixd(const GLdouble m
[16], GLdouble invOut
[16])
177 inv
[0] = m
[5]*m
[10]*m
[15] - m
[5]*m
[11]*m
[14] - m
[9]*m
[6]*m
[15]
178 + m
[9]*m
[7]*m
[14] + m
[13]*m
[6]*m
[11] - m
[13]*m
[7]*m
[10];
179 inv
[4] = -m
[4]*m
[10]*m
[15] + m
[4]*m
[11]*m
[14] + m
[8]*m
[6]*m
[15]
180 - m
[8]*m
[7]*m
[14] - m
[12]*m
[6]*m
[11] + m
[12]*m
[7]*m
[10];
181 inv
[8] = m
[4]*m
[9]*m
[15] - m
[4]*m
[11]*m
[13] - m
[8]*m
[5]*m
[15]
182 + m
[8]*m
[7]*m
[13] + m
[12]*m
[5]*m
[11] - m
[12]*m
[7]*m
[9];
183 inv
[12] = -m
[4]*m
[9]*m
[14] + m
[4]*m
[10]*m
[13] + m
[8]*m
[5]*m
[14]
184 - m
[8]*m
[6]*m
[13] - m
[12]*m
[5]*m
[10] + m
[12]*m
[6]*m
[9];
185 inv
[1] = -m
[1]*m
[10]*m
[15] + m
[1]*m
[11]*m
[14] + m
[9]*m
[2]*m
[15]
186 - m
[9]*m
[3]*m
[14] - m
[13]*m
[2]*m
[11] + m
[13]*m
[3]*m
[10];
187 inv
[5] = m
[0]*m
[10]*m
[15] - m
[0]*m
[11]*m
[14] - m
[8]*m
[2]*m
[15]
188 + m
[8]*m
[3]*m
[14] + m
[12]*m
[2]*m
[11] - m
[12]*m
[3]*m
[10];
189 inv
[9] = -m
[0]*m
[9]*m
[15] + m
[0]*m
[11]*m
[13] + m
[8]*m
[1]*m
[15]
190 - m
[8]*m
[3]*m
[13] - m
[12]*m
[1]*m
[11] + m
[12]*m
[3]*m
[9];
191 inv
[13] = m
[0]*m
[9]*m
[14] - m
[0]*m
[10]*m
[13] - m
[8]*m
[1]*m
[14]
192 + m
[8]*m
[2]*m
[13] + m
[12]*m
[1]*m
[10] - m
[12]*m
[2]*m
[9];
193 inv
[2] = m
[1]*m
[6]*m
[15] - m
[1]*m
[7]*m
[14] - m
[5]*m
[2]*m
[15]
194 + m
[5]*m
[3]*m
[14] + m
[13]*m
[2]*m
[7] - m
[13]*m
[3]*m
[6];
195 inv
[6] = -m
[0]*m
[6]*m
[15] + m
[0]*m
[7]*m
[14] + m
[4]*m
[2]*m
[15]
196 - m
[4]*m
[3]*m
[14] - m
[12]*m
[2]*m
[7] + m
[12]*m
[3]*m
[6];
197 inv
[10] = m
[0]*m
[5]*m
[15] - m
[0]*m
[7]*m
[13] - m
[4]*m
[1]*m
[15]
198 + m
[4]*m
[3]*m
[13] + m
[12]*m
[1]*m
[7] - m
[12]*m
[3]*m
[5];
199 inv
[14] = -m
[0]*m
[5]*m
[14] + m
[0]*m
[6]*m
[13] + m
[4]*m
[1]*m
[14]
200 - m
[4]*m
[2]*m
[13] - m
[12]*m
[1]*m
[6] + m
[12]*m
[2]*m
[5];
201 inv
[3] = -m
[1]*m
[6]*m
[11] + m
[1]*m
[7]*m
[10] + m
[5]*m
[2]*m
[11]
202 - m
[5]*m
[3]*m
[10] - m
[9]*m
[2]*m
[7] + m
[9]*m
[3]*m
[6];
203 inv
[7] = m
[0]*m
[6]*m
[11] - m
[0]*m
[7]*m
[10] - m
[4]*m
[2]*m
[11]
204 + m
[4]*m
[3]*m
[10] + m
[8]*m
[2]*m
[7] - m
[8]*m
[3]*m
[6];
205 inv
[11] = -m
[0]*m
[5]*m
[11] + m
[0]*m
[7]*m
[9] + m
[4]*m
[1]*m
[11]
206 - m
[4]*m
[3]*m
[9] - m
[8]*m
[1]*m
[7] + m
[8]*m
[3]*m
[5];
207 inv
[15] = m
[0]*m
[5]*m
[10] - m
[0]*m
[6]*m
[9] - m
[4]*m
[1]*m
[10]
208 + m
[4]*m
[2]*m
[9] + m
[8]*m
[1]*m
[6] - m
[8]*m
[2]*m
[5];
210 det
= m
[0]*inv
[0] + m
[1]*inv
[4] + m
[2]*inv
[8] + m
[3]*inv
[12];
216 for (i
= 0; i
< 16; i
++)
217 invOut
[i
] = inv
[i
] * det
;
222 static void __gluMultMatricesd(const GLdouble a
[16], const GLdouble b
[16],
227 for (i
= 0; i
< 4; i
++) {
228 for (j
= 0; j
< 4; j
++) {
239 gluProject(GLdouble objx
, GLdouble objy
, GLdouble objz
,
240 const GLdouble modelMatrix
[16],
241 const GLdouble projMatrix
[16],
242 const GLint viewport
[4],
243 GLdouble
*winx
, GLdouble
*winy
, GLdouble
*winz
)
252 __gluMultMatrixVecd(modelMatrix
, in
, out
);
253 __gluMultMatrixVecd(projMatrix
, out
, in
);
254 if (in
[3] == 0.0) return(GL_FALSE
);
258 /* Map x, y and z to range 0-1 */
259 in
[0] = in
[0] * 0.5 + 0.5;
260 in
[1] = in
[1] * 0.5 + 0.5;
261 in
[2] = in
[2] * 0.5 + 0.5;
263 /* Map x,y to viewport */
264 in
[0] = in
[0] * viewport
[2] + viewport
[0];
265 in
[1] = in
[1] * viewport
[3] + viewport
[1];
274 gluUnProject(GLdouble winx
, GLdouble winy
, GLdouble winz
,
275 const GLdouble modelMatrix
[16],
276 const GLdouble projMatrix
[16],
277 const GLint viewport
[4],
278 GLdouble
*objx
, GLdouble
*objy
, GLdouble
*objz
)
280 double finalMatrix
[16];
284 __gluMultMatricesd(modelMatrix
, projMatrix
, finalMatrix
);
285 if (!__gluInvertMatrixd(finalMatrix
, finalMatrix
)) return(GL_FALSE
);
292 /* Map x and y from window coordinates */
293 in
[0] = (in
[0] - viewport
[0]) / viewport
[2];
294 in
[1] = (in
[1] - viewport
[1]) / viewport
[3];
296 /* Map to range -1 to 1 */
297 in
[0] = in
[0] * 2 - 1;
298 in
[1] = in
[1] * 2 - 1;
299 in
[2] = in
[2] * 2 - 1;
301 __gluMultMatrixVecd(finalMatrix
, in
, out
);
302 if (out
[3] == 0.0) return(GL_FALSE
);
313 gluUnProject4(GLdouble winx
, GLdouble winy
, GLdouble winz
, GLdouble clipw
,
314 const GLdouble modelMatrix
[16],
315 const GLdouble projMatrix
[16],
316 const GLint viewport
[4],
317 GLclampd nearVal
, GLclampd farVal
,
318 GLdouble
*objx
, GLdouble
*objy
, GLdouble
*objz
,
321 double finalMatrix
[16];
325 __gluMultMatricesd(modelMatrix
, projMatrix
, finalMatrix
);
326 if (!__gluInvertMatrixd(finalMatrix
, finalMatrix
)) return(GL_FALSE
);
333 /* Map x and y from window coordinates */
334 in
[0] = (in
[0] - viewport
[0]) / viewport
[2];
335 in
[1] = (in
[1] - viewport
[1]) / viewport
[3];
336 in
[2] = (in
[2] - nearVal
) / (farVal
- nearVal
);
338 /* Map to range -1 to 1 */
339 in
[0] = in
[0] * 2 - 1;
340 in
[1] = in
[1] * 2 - 1;
341 in
[2] = in
[2] * 2 - 1;
343 __gluMultMatrixVecd(finalMatrix
, in
, out
);
344 if (out
[3] == 0.0) return(GL_FALSE
);
353 gluPickMatrix(GLdouble x
, GLdouble y
, GLdouble deltax
, GLdouble deltay
,
356 if (deltax
<= 0 || deltay
<= 0) {
360 /* Translate and scale the picked region to the entire window */
361 glTranslatef((viewport
[2] - 2 * (x
- viewport
[0])) / deltax
,
362 (viewport
[3] - 2 * (y
- viewport
[1])) / deltay
, 0);
363 glScalef(viewport
[2] / deltax
, viewport
[3] / deltay
, 1.0);