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-/* $XFree86: xc/extras/ogl-sample/main/gfx/lib/glu/libutil/project.c,v 1.3 2002/02/22 21:32:49 dawes Exp $ */
-/*
-** License Applicability. Except to the extent portions of this file are
-** made subject to an alternative license as permitted in the SGI Free
-** Software License B, Version 1.1 (the "License"), the contents of this
-** file are subject only to the provisions of the License. You may not use
-** this file except in compliance with the License. You may obtain a copy
-** of the License at Silicon Graphics, Inc., attn: Legal Services, 1600
-** Amphitheatre Parkway, Mountain View, CA 94043-1351, or at:
-**
-** http://oss.sgi.com/projects/FreeB
-**
-** Note that, as provided in the License, the Software is distributed on an
-** "AS IS" basis, with ALL EXPRESS AND IMPLIED WARRANTIES AND CONDITIONS
-** DISCLAIMED, INCLUDING, WITHOUT LIMITATION, ANY IMPLIED WARRANTIES AND
-** CONDITIONS OF MERCHANTABILITY, SATISFACTORY QUALITY, FITNESS FOR A
-** PARTICULAR PURPOSE, AND NON-INFRINGEMENT.
-**
-** Original Code. The Original Code is: OpenGL Sample Implementation,
-** Version 1.2.1, released January 26, 2000, developed by Silicon Graphics,
-** Inc. The Original Code is Copyright (c) 1991-2000 Silicon Graphics, Inc.
-** Copyright in any portions created by third parties is as indicated
-** elsewhere herein. All Rights Reserved.
-**
-** Additional Notice Provisions: The application programming interfaces
-** established by SGI in conjunction with the Original Code are The
-** OpenGL(R) Graphics System: A Specification (Version 1.2.1), released
-** April 1, 1999; The OpenGL(R) Graphics System Utility Library (Version
-** 1.3), released November 4, 1998; and OpenGL(R) Graphics with the X
-** Window System(R) (Version 1.3), released October 19, 1998. This software
-** was created using the OpenGL(R) version 1.2.1 Sample Implementation
-** published by SGI, but has not been independently verified as being
-** compliant with the OpenGL(R) version 1.2.1 Specification.
-**
-*/
-
-#include "gluos.h"
-#include <math.h>
-#include <GL/gl.h>
-#include <GL/glu.h>
-#include "gluint.h"
-
-/*
-** Make m an identity matrix
-*/
-static void __gluMakeIdentityd(GLdouble m[16])
-{
- m[0+4*0] = 1; m[0+4*1] = 0; m[0+4*2] = 0; m[0+4*3] = 0;
- m[1+4*0] = 0; m[1+4*1] = 1; m[1+4*2] = 0; m[1+4*3] = 0;
- m[2+4*0] = 0; m[2+4*1] = 0; m[2+4*2] = 1; m[2+4*3] = 0;
- m[3+4*0] = 0; m[3+4*1] = 0; m[3+4*2] = 0; m[3+4*3] = 1;
-}
-
-static void __gluMakeIdentityf(GLfloat m[16])
-{
- m[0+4*0] = 1; m[0+4*1] = 0; m[0+4*2] = 0; m[0+4*3] = 0;
- m[1+4*0] = 0; m[1+4*1] = 1; m[1+4*2] = 0; m[1+4*3] = 0;
- m[2+4*0] = 0; m[2+4*1] = 0; m[2+4*2] = 1; m[2+4*3] = 0;
- m[3+4*0] = 0; m[3+4*1] = 0; m[3+4*2] = 0; m[3+4*3] = 1;
-}
-
-void GLAPIENTRY
-gluOrtho2D(GLdouble left, GLdouble right, GLdouble bottom, GLdouble top)
-{
- glOrtho(left, right, bottom, top, -1, 1);
-}
-
-#define __glPi 3.14159265358979323846
-
-void GLAPIENTRY
-gluPerspective(GLdouble fovy, GLdouble aspect, GLdouble zNear, GLdouble zFar)
-{
- GLdouble m[4][4];
- double sine, cotangent, deltaZ;
- double radians = fovy / 2 * __glPi / 180;
-
- deltaZ = zFar - zNear;
- sine = sin(radians);
- if ((deltaZ == 0) || (sine == 0) || (aspect == 0)) {
- return;
- }
- cotangent = COS(radians) / sine;
-
- __gluMakeIdentityd(&m[0][0]);
- m[0][0] = cotangent / aspect;
- m[1][1] = cotangent;
- m[2][2] = -(zFar + zNear) / deltaZ;
- m[2][3] = -1;
- m[3][2] = -2 * zNear * zFar / deltaZ;
- m[3][3] = 0;
- glMultMatrixd(&m[0][0]);
-}
-
-static void normalize(float v[3])
-{
- float r;
-
- r = sqrt( v[0]*v[0] + v[1]*v[1] + v[2]*v[2] );
- if (r == 0.0) return;
-
- v[0] /= r;
- v[1] /= r;
- v[2] /= r;
-}
-
-static void cross(float v1[3], float v2[3], float result[3])
-{
- result[0] = v1[1]*v2[2] - v1[2]*v2[1];
- result[1] = v1[2]*v2[0] - v1[0]*v2[2];
- result[2] = v1[0]*v2[1] - v1[1]*v2[0];
-}
-
-void GLAPIENTRY
-gluLookAt(GLdouble eyex, GLdouble eyey, GLdouble eyez, GLdouble centerx,
- GLdouble centery, GLdouble centerz, GLdouble upx, GLdouble upy,
- GLdouble upz)
-{
- float forward[3], side[3], up[3];
- GLfloat m[4][4];
-
- forward[0] = centerx - eyex;
- forward[1] = centery - eyey;
- forward[2] = centerz - eyez;
-
- up[0] = upx;
- up[1] = upy;
- up[2] = upz;
-
- normalize(forward);
-
- /* Side = forward x up */
- cross(forward, up, side);
- normalize(side);
-
- /* Recompute up as: up = side x forward */
- cross(side, forward, up);
-
- __gluMakeIdentityf(&m[0][0]);
- m[0][0] = side[0];
- m[1][0] = side[1];
- m[2][0] = side[2];
-
- m[0][1] = up[0];
- m[1][1] = up[1];
- m[2][1] = up[2];
-
- m[0][2] = -forward[0];
- m[1][2] = -forward[1];
- m[2][2] = -forward[2];
-
- glMultMatrixf(&m[0][0]);
- glTranslated(-eyex, -eyey, -eyez);
-}
-
-static void __gluMultMatrixVecd(const GLdouble matrix[16], const GLdouble in[4],
- GLdouble out[4])
-{
- int i;
-
- for (i=0; i<4; i++) {
- out[i] =
- in[0] * matrix[0*4+i] +
- in[1] * matrix[1*4+i] +
- in[2] * matrix[2*4+i] +
- in[3] * matrix[3*4+i];
- }
-}
-
-/*
-** inverse = invert(src)
-*/
-static int __gluInvertMatrixd(const GLdouble src[16], GLdouble inverse[16])
-{
- int i, j, k, swap;
- double t;
- GLdouble temp[4][4];
-
- for (i=0; i<4; i++) {
- for (j=0; j<4; j++) {
- temp[i][j] = src[i*4+j];
- }
- }
- __gluMakeIdentityd(inverse);
-
- for (i = 0; i < 4; i++) {
- /*
- ** Look for largest element in column
- */
- swap = i;
- for (j = i + 1; j < 4; j++) {
- if (fabs(temp[j][i]) > fabs(temp[i][i])) {
- swap = j;
- }
- }
-
- if (swap != i) {
- /*
- ** Swap rows.
- */
- for (k = 0; k < 4; k++) {
- t = temp[i][k];
- temp[i][k] = temp[swap][k];
- temp[swap][k] = t;
-
- t = inverse[i*4+k];
- inverse[i*4+k] = inverse[swap*4+k];
- inverse[swap*4+k] = t;
- }
- }
-
- if (temp[i][i] == 0) {
- /*
- ** No non-zero pivot. The matrix is singular, which shouldn't
- ** happen. This means the user gave us a bad matrix.
- */
- return GL_FALSE;
- }
-
- t = temp[i][i];
- for (k = 0; k < 4; k++) {
- temp[i][k] /= t;
- inverse[i*4+k] /= t;
- }
- for (j = 0; j < 4; j++) {
- if (j != i) {
- t = temp[j][i];
- for (k = 0; k < 4; k++) {
- temp[j][k] -= temp[i][k]*t;
- inverse[j*4+k] -= inverse[i*4+k]*t;
- }
- }
- }
- }
- return GL_TRUE;
-}
-
-static void __gluMultMatricesd(const GLdouble a[16], const GLdouble b[16],
- GLdouble r[16])
-{
- int i, j;
-
- for (i = 0; i < 4; i++) {
- for (j = 0; j < 4; j++) {
- r[i*4+j] =
- a[i*4+0]*b[0*4+j] +
- a[i*4+1]*b[1*4+j] +
- a[i*4+2]*b[2*4+j] +
- a[i*4+3]*b[3*4+j];
- }
- }
-}
-
-GLint GLAPIENTRY
-gluProject(GLdouble objx, GLdouble objy, GLdouble objz,
- const GLdouble modelMatrix[16],
- const GLdouble projMatrix[16],
- const GLint viewport[4],
- GLdouble *winx, GLdouble *winy, GLdouble *winz)
-{
- double in[4];
- double out[4];
-
- in[0]=objx;
- in[1]=objy;
- in[2]=objz;
- in[3]=1.0;
- __gluMultMatrixVecd(modelMatrix, in, out);
- __gluMultMatrixVecd(projMatrix, out, in);
- if (in[3] == 0.0) return(GL_FALSE);
- in[0] /= in[3];
- in[1] /= in[3];
- in[2] /= in[3];
- /* Map x, y and z to range 0-1 */
- in[0] = in[0] * 0.5 + 0.5;
- in[1] = in[1] * 0.5 + 0.5;
- in[2] = in[2] * 0.5 + 0.5;
-
- /* Map x,y to viewport */
- in[0] = in[0] * viewport[2] + viewport[0];
- in[1] = in[1] * viewport[3] + viewport[1];
-
- *winx=in[0];
- *winy=in[1];
- *winz=in[2];
- return(GL_TRUE);
-}
-
-GLint GLAPIENTRY
-gluUnProject(GLdouble winx, GLdouble winy, GLdouble winz,
- const GLdouble modelMatrix[16],
- const GLdouble projMatrix[16],
- const GLint viewport[4],
- GLdouble *objx, GLdouble *objy, GLdouble *objz)
-{
- double finalMatrix[16];
- double in[4];
- double out[4];
-
- __gluMultMatricesd(modelMatrix, projMatrix, finalMatrix);
- if (!__gluInvertMatrixd(finalMatrix, finalMatrix)) return(GL_FALSE);
-
- in[0]=winx;
- in[1]=winy;
- in[2]=winz;
- in[3]=1.0;
-
- /* Map x and y from window coordinates */
- in[0] = (in[0] - viewport[0]) / viewport[2];
- in[1] = (in[1] - viewport[1]) / viewport[3];
-
- /* Map to range -1 to 1 */
- in[0] = in[0] * 2 - 1;
- in[1] = in[1] * 2 - 1;
- in[2] = in[2] * 2 - 1;
-
- __gluMultMatrixVecd(finalMatrix, in, out);
- if (out[3] == 0.0) return(GL_FALSE);
- out[0] /= out[3];
- out[1] /= out[3];
- out[2] /= out[3];
- *objx = out[0];
- *objy = out[1];
- *objz = out[2];
- return(GL_TRUE);
-}
-
-GLint GLAPIENTRY
-gluUnProject4(GLdouble winx, GLdouble winy, GLdouble winz, GLdouble clipw,
- const GLdouble modelMatrix[16],
- const GLdouble projMatrix[16],
- const GLint viewport[4],
- GLclampd near, GLclampd far,
- GLdouble *objx, GLdouble *objy, GLdouble *objz,
- GLdouble *objw)
-{
- double finalMatrix[16];
- double in[4];
- double out[4];
-
- __gluMultMatricesd(modelMatrix, projMatrix, finalMatrix);
- if (!__gluInvertMatrixd(finalMatrix, finalMatrix)) return(GL_FALSE);
-
- in[0]=winx;
- in[1]=winy;
- in[2]=winz;
- in[3]=clipw;
-
- /* Map x and y from window coordinates */
- in[0] = (in[0] - viewport[0]) / viewport[2];
- in[1] = (in[1] - viewport[1]) / viewport[3];
- in[2] = (in[2] - near) / (far - near);
-
- /* Map to range -1 to 1 */
- in[0] = in[0] * 2 - 1;
- in[1] = in[1] * 2 - 1;
- in[2] = in[2] * 2 - 1;
-
- __gluMultMatrixVecd(finalMatrix, in, out);
- if (out[3] == 0.0) return(GL_FALSE);
- *objx = out[0];
- *objy = out[1];
- *objz = out[2];
- *objw = out[3];
- return(GL_TRUE);
-}
-
-void GLAPIENTRY
-gluPickMatrix(GLdouble x, GLdouble y, GLdouble deltax, GLdouble deltay,
- GLint viewport[4])
-{
- if (deltax <= 0 || deltay <= 0) {
- return;
- }
-
- /* Translate and scale the picked region to the entire window */
- glTranslatef((viewport[2] - 2 * (x - viewport[0])) / deltax,
- (viewport[3] - 2 * (y - viewport[1])) / deltay, 0);
- glScalef(viewport[2] / deltax, viewport[3] / deltay, 1.0);
-}