SGI SI GLU library

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diff --git a/src/glu/sgi/libutil/project.c b/src/glu/sgi/libutil/project.c
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+/*
+** 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.
+**
+** $Date: 2001/03/17 00:25:41 $ $Revision: 1.1 $
+** $Header: /home/krh/git/sync/mesa-cvs-repo/Mesa/src/glu/sgi/libutil/project.c,v 1.1 2001/03/17 00:25:41 brianp Exp $
+*/
+
+#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)
+{
+    int i;
+    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);
+}