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diff --git a/src/glut/dos/shapes.c b/src/glut/dos/shapes.c
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+/*
+ * freeglut_geometry.c
+ *
+ * Freeglut geometry rendering methods.
+ *
+ * Copyright (c) 1999-2000 Pawel W. Olszta. All Rights Reserved.
+ * Written by Pawel W. Olszta, <[email protected]>
+ * Creation date: Fri Dec 3 1999
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a
+ * copy of this software and associated documentation files (the "Software"),
+ * to deal in the Software without restriction, including without limitation
+ * the rights to use, copy, modify, merge, publish, distribute, sublicense,
+ * and/or sell copies of the Software, and to permit persons to whom the
+ * Software is furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included
+ * in all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
+ * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
+ * PAWEL W. OLSZTA BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER
+ * IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
+ * CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
+ */
+
+#include <math.h>
+#include "internal.h"
+
+/*
+ * TODO BEFORE THE STABLE RELEASE:
+ *
+ * Following functions have been contributed by Andreas Umbach.
+ *
+ * glutWireCube() -- looks OK
+ * glutSolidCube() -- OK
+ *
+ * Those functions have been implemented by John Fay.
+ *
+ * glutWireTorus() -- looks OK
+ * glutSolidTorus() -- looks OK
+ * glutWireDodecahedron() -- looks OK
+ * glutSolidDodecahedron() -- looks OK
+ * glutWireOctahedron() -- looks OK
+ * glutSolidOctahedron() -- looks OK
+ * glutWireTetrahedron() -- looks OK
+ * glutSolidTetrahedron() -- looks OK
+ * glutWireIcosahedron() -- looks OK
+ * glutSolidIcosahedron() -- looks OK
+ *
+ * The Following functions have been updated by Nigel Stewart, based
+ * on FreeGLUT 2.0.0 implementations:
+ *
+ * glutWireSphere() -- looks OK
+ * glutSolidSphere() -- looks OK
+ * glutWireCone() -- looks OK
+ * glutSolidCone() -- looks OK
+ */
+
+
+/* -- INTERFACE FUNCTIONS -------------------------------------------------- */
+
+/*
+ * Draws a wireframed cube. Code contributed by Andreas Umbach <[email protected]>
+ */
+void GLUTAPIENTRY glutWireCube( GLdouble dSize )
+{
+ double size = dSize * 0.5;
+
+# define V(a,b,c) glVertex3d( a size, b size, c size );
+# define N(a,b,c) glNormal3d( a, b, c );
+
+ /*
+ * PWO: I dared to convert the code to use macros...
+ */
+ glBegin( GL_LINE_LOOP ); N( 1.0, 0.0, 0.0); V(+,-,+); V(+,-,-); V(+,+,-); V(+,+,+); glEnd();
+ glBegin( GL_LINE_LOOP ); N( 0.0, 1.0, 0.0); V(+,+,+); V(+,+,-); V(-,+,-); V(-,+,+); glEnd();
+ glBegin( GL_LINE_LOOP ); N( 0.0, 0.0, 1.0); V(+,+,+); V(-,+,+); V(-,-,+); V(+,-,+); glEnd();
+ glBegin( GL_LINE_LOOP ); N(-1.0, 0.0, 0.0); V(-,-,+); V(-,+,+); V(-,+,-); V(-,-,-); glEnd();
+ glBegin( GL_LINE_LOOP ); N( 0.0,-1.0, 0.0); V(-,-,+); V(-,-,-); V(+,-,-); V(+,-,+); glEnd();
+ glBegin( GL_LINE_LOOP ); N( 0.0, 0.0,-1.0); V(-,-,-); V(-,+,-); V(+,+,-); V(+,-,-); glEnd();
+
+# undef V
+# undef N
+}
+
+/*
+ * Draws a solid cube. Code contributed by Andreas Umbach <[email protected]>
+ */
+void GLUTAPIENTRY glutSolidCube( GLdouble dSize )
+{
+ double size = dSize * 0.5;
+
+# define V(a,b,c) glVertex3d( a size, b size, c size );
+# define N(a,b,c) glNormal3d( a, b, c );
+
+ /*
+ * PWO: Again, I dared to convert the code to use macros...
+ */
+ glBegin( GL_QUADS );
+ N( 1.0, 0.0, 0.0); V(+,-,+); V(+,-,-); V(+,+,-); V(+,+,+);
+ N( 0.0, 1.0, 0.0); V(+,+,+); V(+,+,-); V(-,+,-); V(-,+,+);
+ N( 0.0, 0.0, 1.0); V(+,+,+); V(-,+,+); V(-,-,+); V(+,-,+);
+ N(-1.0, 0.0, 0.0); V(-,-,+); V(-,+,+); V(-,+,-); V(-,-,-);
+ N( 0.0,-1.0, 0.0); V(-,-,+); V(-,-,-); V(+,-,-); V(+,-,+);
+ N( 0.0, 0.0,-1.0); V(-,-,-); V(-,+,-); V(+,+,-); V(+,-,-);
+ glEnd();
+
+# undef V
+# undef N
+}
+
+/*
+ * Compute lookup table of cos and sin values forming a cirle
+ *
+ * Notes:
+ * It is the responsibility of the caller to free these tables
+ * The size of the table is (n+1) to form a connected loop
+ * The last entry is exactly the same as the first
+ * The sign of n can be flipped to get the reverse loop
+ */
+
+static void circleTable(double **sint,double **cost,const int n)
+{
+ int i;
+
+ /* Table size, the sign of n flips the circle direction */
+
+ const int size = abs(n);
+
+ /* Determine the angle between samples */
+
+ const double angle = 2*M_PI/(double)n;
+
+ /* Allocate memory for n samples, plus duplicate of first entry at the end */
+
+ *sint = (double *) calloc(sizeof(double), size+1);
+ *cost = (double *) calloc(sizeof(double), size+1);
+
+ /* Bail out if memory allocation fails, fgError never returns */
+
+ if (!(*sint) || !(*cost))
+ {
+ free(*sint);
+ free(*cost);
+ _glut_fatal("Failed to allocate memory in circleTable");
+ }
+
+ /* Compute cos and sin around the circle */
+
+ for (i=0; i<size; i++)
+ {
+ (*sint)[i] = sin(angle*i);
+ (*cost)[i] = cos(angle*i);
+ }
+
+ /* Last sample is duplicate of the first */
+
+ (*sint)[size] = (*sint)[0];
+ (*cost)[size] = (*cost)[0];
+}
+
+/*
+ * Draws a solid sphere
+ */
+void GLUTAPIENTRY glutSolidSphere(GLdouble radius, GLint slices, GLint stacks)
+{
+ int i,j;
+
+ /* Adjust z and radius as stacks are drawn. */
+
+ double z0,z1;
+ double r0,r1;
+
+ /* Pre-computed circle */
+
+ double *sint1,*cost1;
+ double *sint2,*cost2;
+ circleTable(&sint1,&cost1,-slices);
+ circleTable(&sint2,&cost2,stacks*2);
+
+ /* The top stack is covered with a triangle fan */
+
+ z0 = 1.0;
+ z1 = cost2[1];
+ r0 = 0.0;
+ r1 = sint2[1];
+
+ glBegin(GL_TRIANGLE_FAN);
+
+ glNormal3d(0,0,1);
+ glVertex3d(0,0,radius);
+
+ for (j=slices; j>=0; j--)
+ {
+ glNormal3d(cost1[j]*r1, sint1[j]*r1, z1 );
+ glVertex3d(cost1[j]*r1*radius, sint1[j]*r1*radius, z1*radius);
+ }
+
+ glEnd();
+
+ /* Cover each stack with a quad strip, except the top and bottom stacks */
+
+ for( i=1; i<stacks-1; i++ )
+ {
+ z0 = z1; z1 = cost2[i+1];
+ r0 = r1; r1 = sint2[i+1];
+
+ glBegin(GL_QUAD_STRIP);
+
+ for(j=0; j<=slices; j++)
+ {
+ glNormal3d(cost1[j]*r1, sint1[j]*r1, z1 );
+ glVertex3d(cost1[j]*r1*radius, sint1[j]*r1*radius, z1*radius);
+ glNormal3d(cost1[j]*r0, sint1[j]*r0, z0 );
+ glVertex3d(cost1[j]*r0*radius, sint1[j]*r0*radius, z0*radius);
+ }
+
+ glEnd();
+ }
+
+ /* The bottom stack is covered with a triangle fan */
+
+ z0 = z1;
+ r0 = r1;
+
+ glBegin(GL_TRIANGLE_FAN);
+
+ glNormal3d(0,0,-1);
+ glVertex3d(0,0,-radius);
+
+ for (j=0; j<=slices; j++)
+ {
+ glNormal3d(cost1[j]*r0, sint1[j]*r0, z0 );
+ glVertex3d(cost1[j]*r0*radius, sint1[j]*r0*radius, z0*radius);
+ }
+
+ glEnd();
+
+ /* Release sin and cos tables */
+
+ free(sint1);
+ free(cost1);
+ free(sint2);
+ free(cost2);
+}
+
+/*
+ * Draws a solid sphere
+ */
+void GLUTAPIENTRY glutWireSphere(GLdouble radius, GLint slices, GLint stacks)
+{
+ int i,j;
+
+ /* Adjust z and radius as stacks and slices are drawn. */
+
+ double r;
+ double x,y,z;
+
+ /* Pre-computed circle */
+
+ double *sint1,*cost1;
+ double *sint2,*cost2;
+ circleTable(&sint1,&cost1,-slices );
+ circleTable(&sint2,&cost2, stacks*2);
+
+ /* Draw a line loop for each stack */
+
+ for (i=1; i<stacks; i++)
+ {
+ z = cost2[i];
+ r = sint2[i];
+
+ glBegin(GL_LINE_LOOP);
+
+ for(j=0; j<=slices; j++)
+ {
+ x = cost1[j];
+ y = sint1[j];
+
+ glNormal3d(x,y,z);
+ glVertex3d(x*r*radius,y*r*radius,z*radius);
+ }
+
+ glEnd();
+ }
+
+ /* Draw a line loop for each slice */
+
+ for (i=0; i<slices; i++)
+ {
+ glBegin(GL_LINE_STRIP);
+
+ for(j=0; j<=stacks; j++)
+ {
+ x = cost1[i]*sint2[j];
+ y = sint1[i]*sint2[j];
+ z = cost2[j];
+
+ glNormal3d(x,y,z);
+ glVertex3d(x*radius,y*radius,z*radius);
+ }
+
+ glEnd();
+ }
+
+ /* Release sin and cos tables */
+
+ free(sint1);
+ free(cost1);
+ free(sint2);
+ free(cost2);
+}
+
+/*
+ * Draws a solid cone
+ */
+void GLUTAPIENTRY glutSolidCone( GLdouble base, GLdouble height, GLint slices, GLint stacks )
+{
+ int i,j;
+
+ /* Step in z and radius as stacks are drawn. */
+
+ double z0,z1;
+ double r0,r1;
+
+ const double zStep = height/stacks;
+ const double rStep = base/stacks;
+
+ /* Scaling factors for vertex normals */
+
+ const double cosn = ( height / sqrt ( height * height + base * base ));
+ const double sinn = ( base / sqrt ( height * height + base * base ));
+
+ /* Pre-computed circle */
+
+ double *sint,*cost;
+ circleTable(&sint,&cost,-slices);
+
+ /* Cover the circular base with a triangle fan... */
+
+ z0 = 0.0;
+ z1 = zStep;
+
+ r0 = base;
+ r1 = r0 - rStep;
+
+ glBegin(GL_TRIANGLE_FAN);
+
+ glNormal3d(0.0,0.0,-1.0);
+ glVertex3d(0.0,0.0, z0 );
+
+ for (j=0; j<=slices; j++)
+ glVertex3d(cost[j]*r0, sint[j]*r0, z0);
+
+ glEnd();
+
+ /* Cover each stack with a quad strip, except the top stack */
+
+ for( i=0; i<stacks-1; i++ )
+ {
+ glBegin(GL_QUAD_STRIP);
+
+ for(j=0; j<=slices; j++)
+ {
+ glNormal3d(cost[j]*sinn, sint[j]*sinn, cosn);
+ glVertex3d(cost[j]*r0, sint[j]*r0, z0 );
+ glVertex3d(cost[j]*r1, sint[j]*r1, z1 );
+ }
+
+ z0 = z1; z1 += zStep;
+ r0 = r1; r1 -= rStep;
+
+ glEnd();
+ }
+
+ /* The top stack is covered with individual triangles */
+
+ glBegin(GL_TRIANGLES);
+
+ glNormal3d(cost[0]*sinn, sint[0]*sinn, cosn);
+
+ for (j=0; j<slices; j++)
+ {
+ glVertex3d(cost[j+0]*r0, sint[j+0]*r0, z0 );
+ glVertex3d(0, 0, height);
+ glNormal3d(cost[j+1]*sinn, sint[j+1]*sinn, cosn );
+ glVertex3d(cost[j+1]*r0, sint[j+1]*r0, z0 );
+ }
+
+ glEnd();
+
+ /* Release sin and cos tables */
+
+ free(sint);
+ free(cost);
+}
+
+/*
+ * Draws a wire cone
+ */
+void GLUTAPIENTRY glutWireCone( GLdouble base, GLdouble height, GLint slices, GLint stacks)
+{
+ int i,j;
+
+ /* Step in z and radius as stacks are drawn. */
+
+ double z = 0.0;
+ double r = base;
+
+ const double zStep = height/stacks;
+ const double rStep = base/stacks;
+
+ /* Scaling factors for vertex normals */
+
+ const double cosn = ( height / sqrt ( height * height + base * base ));
+ const double sinn = ( base / sqrt ( height * height + base * base ));
+
+ /* Pre-computed circle */
+
+ double *sint,*cost;
+ circleTable(&sint,&cost,-slices);
+
+ /* Draw the stacks... */
+
+ for (i=0; i<stacks; i++)
+ {
+ glBegin(GL_LINE_LOOP);
+
+ for( j=0; j<slices; j++ )
+ {
+ glNormal3d(cost[j]*sinn, sint[j]*sinn, cosn);
+ glVertex3d(cost[j]*r, sint[j]*r, z );
+ }
+
+ glEnd();
+
+ z += zStep;
+ r -= rStep;
+ }
+
+ /* Draw the slices */
+
+ r = base;
+
+ glBegin(GL_LINES);
+
+ for (j=0; j<slices; j++)
+ {
+ glNormal3d(cost[j]*sinn, sint[j]*sinn, cosn );
+ glVertex3d(cost[j]*r, sint[j]*r, 0.0 );
+ glVertex3d(0.0, 0.0, height);
+ }
+
+ glEnd();
+
+ /* Release sin and cos tables */
+
+ free(sint);
+ free(cost);
+}
+
+
+/*
+ * Draws a solid cylinder
+ */
+void GLUTAPIENTRY glutSolidCylinder(GLdouble radius, GLdouble height, GLint slices, GLint stacks)
+{
+ int i,j;
+
+ /* Step in z and radius as stacks are drawn. */
+
+ double z0,z1;
+ const double zStep = height/stacks;
+
+ /* Pre-computed circle */
+
+ double *sint,*cost;
+ circleTable(&sint,&cost,-slices);
+
+ /* Cover the base and top */
+
+ glBegin(GL_TRIANGLE_FAN);
+ glNormal3d(0.0, 0.0, -1.0 );
+ glVertex3d(0.0, 0.0, 0.0 );
+ for (j=0; j<=slices; j++)
+ glVertex3d(cost[j]*radius, sint[j]*radius, 0.0);
+ glEnd();
+
+ glBegin(GL_TRIANGLE_FAN);
+ glNormal3d(0.0, 0.0, 1.0 );
+ glVertex3d(0.0, 0.0, height);
+ for (j=slices; j>=0; j--)
+ glVertex3d(cost[j]*radius, sint[j]*radius, height);
+ glEnd();
+
+ /* Do the stacks */
+
+ z0 = 0.0;
+ z1 = zStep;
+
+ for (i=1; i<=stacks; i++)
+ {
+ if (i==stacks)
+ z1 = height;
+
+ glBegin(GL_QUAD_STRIP);
+ for (j=0; j<=slices; j++ )
+ {
+ glNormal3d(cost[j], sint[j], 0.0 );
+ glVertex3d(cost[j]*radius, sint[j]*radius, z0 );
+ glVertex3d(cost[j]*radius, sint[j]*radius, z1 );
+ }
+ glEnd();
+
+ z0 = z1; z1 += zStep;
+ }
+
+ /* Release sin and cos tables */
+
+ free(sint);
+ free(cost);
+}
+
+/*
+ * Draws a wire cylinder
+ */
+void GLUTAPIENTRY glutWireCylinder(GLdouble radius, GLdouble height, GLint slices, GLint stacks)
+{
+ int i,j;
+
+ /* Step in z and radius as stacks are drawn. */
+
+ double z = 0.0;
+ const double zStep = height/stacks;
+
+ /* Pre-computed circle */
+
+ double *sint,*cost;
+ circleTable(&sint,&cost,-slices);
+
+ /* Draw the stacks... */
+
+ for (i=0; i<=stacks; i++)
+ {
+ if (i==stacks)
+ z = height;
+
+ glBegin(GL_LINE_LOOP);
+
+ for( j=0; j<slices; j++ )
+ {
+ glNormal3d(cost[j], sint[j], 0.0);
+ glVertex3d(cost[j]*radius, sint[j]*radius, z );
+ }
+
+ glEnd();
+
+ z += zStep;
+ }
+
+ /* Draw the slices */
+
+ glBegin(GL_LINES);
+
+ for (j=0; j<slices; j++)
+ {
+ glNormal3d(cost[j], sint[j], 0.0 );
+ glVertex3d(cost[j]*radius, sint[j]*radius, 0.0 );
+ glVertex3d(cost[j]*radius, sint[j]*radius, height);
+ }
+
+ glEnd();
+
+ /* Release sin and cos tables */
+
+ free(sint);
+ free(cost);
+}
+
+/*
+ *
+ */
+void GLUTAPIENTRY glutWireTorus( GLdouble dInnerRadius, GLdouble dOuterRadius, GLint nSides, GLint nRings )
+{
+ double iradius = dInnerRadius, oradius = dOuterRadius, phi, psi, dpsi, dphi;
+ double *vertex, *normal;
+ int i, j;
+ double spsi, cpsi, sphi, cphi ;
+
+ /*
+ * Allocate the vertices array
+ */
+ vertex = (double *)calloc( sizeof(double), 3 * nSides * nRings );
+ normal = (double *)calloc( sizeof(double), 3 * nSides * nRings );
+
+ glPushMatrix();
+
+ dpsi = 2.0 * M_PI / (double)nRings ;
+ dphi = -2.0 * M_PI / (double)nSides ;
+ psi = 0.0;
+
+ for( j=0; j<nRings; j++ )
+ {
+ cpsi = cos ( psi ) ;
+ spsi = sin ( psi ) ;
+ phi = 0.0;
+
+ for( i=0; i<nSides; i++ )
+ {
+ int offset = 3 * ( j * nSides + i ) ;
+ cphi = cos ( phi ) ;
+ sphi = sin ( phi ) ;
+ *(vertex + offset + 0) = cpsi * ( oradius + cphi * iradius ) ;
+ *(vertex + offset + 1) = spsi * ( oradius + cphi * iradius ) ;
+ *(vertex + offset + 2) = sphi * iradius ;
+ *(normal + offset + 0) = cpsi * cphi ;
+ *(normal + offset + 1) = spsi * cphi ;
+ *(normal + offset + 2) = sphi ;
+ phi += dphi;
+ }
+
+ psi += dpsi;
+ }
+
+ for( i=0; i<nSides; i++ )
+ {
+ glBegin( GL_LINE_LOOP );
+
+ for( j=0; j<nRings; j++ )
+ {
+ int offset = 3 * ( j * nSides + i ) ;
+ glNormal3dv( normal + offset );
+ glVertex3dv( vertex + offset );
+ }
+
+ glEnd();
+ }
+
+ for( j=0; j<nRings; j++ )
+ {
+ glBegin(GL_LINE_LOOP);
+
+ for( i=0; i<nSides; i++ )
+ {
+ int offset = 3 * ( j * nSides + i ) ;
+ glNormal3dv( normal + offset );
+ glVertex3dv( vertex + offset );
+ }
+
+ glEnd();
+ }
+
+ free ( vertex ) ;
+ free ( normal ) ;
+ glPopMatrix();
+}
+
+/*
+ *
+ */
+void GLUTAPIENTRY glutSolidTorus( GLdouble dInnerRadius, GLdouble dOuterRadius, GLint nSides, GLint nRings )
+{
+ double iradius = dInnerRadius, oradius = dOuterRadius, phi, psi, dpsi, dphi;
+ double *vertex, *normal;
+ int i, j;
+ double spsi, cpsi, sphi, cphi ;
+
+ /*
+ * Increment the number of sides and rings to allow for one more point than surface
+ */
+ nSides ++ ;
+ nRings ++ ;
+
+ /*
+ * Allocate the vertices array
+ */
+ vertex = (double *)calloc( sizeof(double), 3 * nSides * nRings );
+ normal = (double *)calloc( sizeof(double), 3 * nSides * nRings );
+
+ glPushMatrix();
+
+ dpsi = 2.0 * M_PI / (double)(nRings - 1) ;
+ dphi = -2.0 * M_PI / (double)(nSides - 1) ;
+ psi = 0.0;
+
+ for( j=0; j<nRings; j++ )
+ {
+ cpsi = cos ( psi ) ;
+ spsi = sin ( psi ) ;
+ phi = 0.0;
+
+ for( i=0; i<nSides; i++ )
+ {
+ int offset = 3 * ( j * nSides + i ) ;
+ cphi = cos ( phi ) ;
+ sphi = sin ( phi ) ;
+ *(vertex + offset + 0) = cpsi * ( oradius + cphi * iradius ) ;
+ *(vertex + offset + 1) = spsi * ( oradius + cphi * iradius ) ;
+ *(vertex + offset + 2) = sphi * iradius ;
+ *(normal + offset + 0) = cpsi * cphi ;
+ *(normal + offset + 1) = spsi * cphi ;
+ *(normal + offset + 2) = sphi ;
+ phi += dphi;
+ }
+
+ psi += dpsi;
+ }
+
+ glBegin( GL_QUADS );
+ for( i=0; i<nSides-1; i++ )
+ {
+ for( j=0; j<nRings-1; j++ )
+ {
+ int offset = 3 * ( j * nSides + i ) ;
+ glNormal3dv( normal + offset );
+ glVertex3dv( vertex + offset );
+ glNormal3dv( normal + offset + 3 );
+ glVertex3dv( vertex + offset + 3 );
+ glNormal3dv( normal + offset + 3 * nSides + 3 );
+ glVertex3dv( vertex + offset + 3 * nSides + 3 );
+ glNormal3dv( normal + offset + 3 * nSides );
+ glVertex3dv( vertex + offset + 3 * nSides );
+ }
+ }
+
+ glEnd();
+
+ free ( vertex ) ;
+ free ( normal ) ;
+ glPopMatrix();
+}
+
+/*
+ *
+ */
+void GLUTAPIENTRY glutWireDodecahedron( void )
+{
+ /* Magic Numbers: It is possible to create a dodecahedron by attaching two pentagons to each face of
+ * of a cube. The coordinates of the points are:
+ * (+-x,0, z); (+-1, 1, 1); (0, z, x )
+ * where x = 0.61803398875 and z = 1.61803398875.
+ */
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( 0.0, 0.525731112119, 0.850650808354 ) ; glVertex3d ( 0.0, 1.61803398875, 0.61803398875 ) ; glVertex3d ( -1.0, 1.0, 1.0 ) ; glVertex3d ( -0.61803398875, 0.0, 1.61803398875 ) ; glVertex3d ( 0.61803398875, 0.0, 1.61803398875 ) ; glVertex3d ( 1.0, 1.0, 1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( 0.0, 0.525731112119, -0.850650808354 ) ; glVertex3d ( 0.0, 1.61803398875, -0.61803398875 ) ; glVertex3d ( 1.0, 1.0, -1.0 ) ; glVertex3d ( 0.61803398875, 0.0, -1.61803398875 ) ; glVertex3d ( -0.61803398875, 0.0, -1.61803398875 ) ; glVertex3d ( -1.0, 1.0, -1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( 0.0, -0.525731112119, 0.850650808354 ) ; glVertex3d ( 0.0, -1.61803398875, 0.61803398875 ) ; glVertex3d ( 1.0, -1.0, 1.0 ) ; glVertex3d ( 0.61803398875, 0.0, 1.61803398875 ) ; glVertex3d ( -0.61803398875, 0.0, 1.61803398875 ) ; glVertex3d ( -1.0, -1.0, 1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( 0.0, -0.525731112119, -0.850650808354 ) ; glVertex3d ( 0.0, -1.61803398875, -0.61803398875 ) ; glVertex3d ( -1.0, -1.0, -1.0 ) ; glVertex3d ( -0.61803398875, 0.0, -1.61803398875 ) ; glVertex3d ( 0.61803398875, 0.0, -1.61803398875 ) ; glVertex3d ( 1.0, -1.0, -1.0 ) ;
+ glEnd () ;
+
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( 0.850650808354, 0.0, 0.525731112119 ) ; glVertex3d ( 0.61803398875, 0.0, 1.61803398875 ) ; glVertex3d ( 1.0, -1.0, 1.0 ) ; glVertex3d ( 1.61803398875, -0.61803398875, 0.0 ) ; glVertex3d ( 1.61803398875, 0.61803398875, 0.0 ) ; glVertex3d ( 1.0, 1.0, 1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( -0.850650808354, 0.0, 0.525731112119 ) ; glVertex3d ( -0.61803398875, 0.0, 1.61803398875 ) ; glVertex3d ( -1.0, 1.0, 1.0 ) ; glVertex3d ( -1.61803398875, 0.61803398875, 0.0 ) ; glVertex3d ( -1.61803398875, -0.61803398875, 0.0 ) ; glVertex3d ( -1.0, -1.0, 1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( 0.850650808354, 0.0, -0.525731112119 ) ; glVertex3d ( 0.61803398875, 0.0, -1.61803398875 ) ; glVertex3d ( 1.0, 1.0, -1.0 ) ; glVertex3d ( 1.61803398875, 0.61803398875, 0.0 ) ; glVertex3d ( 1.61803398875, -0.61803398875, 0.0 ) ; glVertex3d ( 1.0, -1.0, -1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( -0.850650808354, 0.0, -0.525731112119 ) ; glVertex3d ( -0.61803398875, 0.0, -1.61803398875 ) ; glVertex3d ( -1.0, -1.0, -1.0 ) ; glVertex3d ( -1.61803398875, -0.61803398875, 0.0 ) ; glVertex3d ( -1.61803398875, 0.61803398875, 0.0 ) ; glVertex3d ( -1.0, 1.0, -1.0 ) ;
+ glEnd () ;
+
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( 0.525731112119, 0.850650808354, 0.0 ) ; glVertex3d ( 1.61803398875, 0.61803398875, 0.0 ) ; glVertex3d ( 1.0, 1.0, -1.0 ) ; glVertex3d ( 0.0, 1.61803398875, -0.61803398875 ) ; glVertex3d ( 0.0, 1.61803398875, 0.61803398875 ) ; glVertex3d ( 1.0, 1.0, 1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( 0.525731112119, -0.850650808354, 0.0 ) ; glVertex3d ( 1.61803398875, -0.61803398875, 0.0 ) ; glVertex3d ( 1.0, -1.0, 1.0 ) ; glVertex3d ( 0.0, -1.61803398875, 0.61803398875 ) ; glVertex3d ( 0.0, -1.61803398875, -0.61803398875 ) ; glVertex3d ( 1.0, -1.0, -1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( -0.525731112119, 0.850650808354, 0.0 ) ; glVertex3d ( -1.61803398875, 0.61803398875, 0.0 ) ; glVertex3d ( -1.0, 1.0, 1.0 ) ; glVertex3d ( 0.0, 1.61803398875, 0.61803398875 ) ; glVertex3d ( 0.0, 1.61803398875, -0.61803398875 ) ; glVertex3d ( -1.0, 1.0, -1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( -0.525731112119, -0.850650808354, 0.0 ) ; glVertex3d ( -1.61803398875, -0.61803398875, 0.0 ) ; glVertex3d ( -1.0, -1.0, -1.0 ) ; glVertex3d ( 0.0, -1.61803398875, -0.61803398875 ) ; glVertex3d ( 0.0, -1.61803398875, 0.61803398875 ) ; glVertex3d ( -1.0, -1.0, 1.0 ) ;
+ glEnd () ;
+}
+
+/*
+ *
+ */
+void GLUTAPIENTRY glutSolidDodecahedron( void )
+{
+ /* Magic Numbers: It is possible to create a dodecahedron by attaching two pentagons to each face of
+ * of a cube. The coordinates of the points are:
+ * (+-x,0, z); (+-1, 1, 1); (0, z, x )
+ * where x = 0.61803398875 and z = 1.61803398875.
+ */
+ glBegin ( GL_POLYGON ) ;
+ glNormal3d ( 0.0, 0.525731112119, 0.850650808354 ) ; glVertex3d ( 0.0, 1.61803398875, 0.61803398875 ) ; glVertex3d ( -1.0, 1.0, 1.0 ) ; glVertex3d ( -0.61803398875, 0.0, 1.61803398875 ) ; glVertex3d ( 0.61803398875, 0.0, 1.61803398875 ) ; glVertex3d ( 1.0, 1.0, 1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_POLYGON ) ;
+ glNormal3d ( 0.0, 0.525731112119, -0.850650808354 ) ; glVertex3d ( 0.0, 1.61803398875, -0.61803398875 ) ; glVertex3d ( 1.0, 1.0, -1.0 ) ; glVertex3d ( 0.61803398875, 0.0, -1.61803398875 ) ; glVertex3d ( -0.61803398875, 0.0, -1.61803398875 ) ; glVertex3d ( -1.0, 1.0, -1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_POLYGON ) ;
+ glNormal3d ( 0.0, -0.525731112119, 0.850650808354 ) ; glVertex3d ( 0.0, -1.61803398875, 0.61803398875 ) ; glVertex3d ( 1.0, -1.0, 1.0 ) ; glVertex3d ( 0.61803398875, 0.0, 1.61803398875 ) ; glVertex3d ( -0.61803398875, 0.0, 1.61803398875 ) ; glVertex3d ( -1.0, -1.0, 1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_POLYGON ) ;
+ glNormal3d ( 0.0, -0.525731112119, -0.850650808354 ) ; glVertex3d ( 0.0, -1.61803398875, -0.61803398875 ) ; glVertex3d ( -1.0, -1.0, -1.0 ) ; glVertex3d ( -0.61803398875, 0.0, -1.61803398875 ) ; glVertex3d ( 0.61803398875, 0.0, -1.61803398875 ) ; glVertex3d ( 1.0, -1.0, -1.0 ) ;
+ glEnd () ;
+
+ glBegin ( GL_POLYGON ) ;
+ glNormal3d ( 0.850650808354, 0.0, 0.525731112119 ) ; glVertex3d ( 0.61803398875, 0.0, 1.61803398875 ) ; glVertex3d ( 1.0, -1.0, 1.0 ) ; glVertex3d ( 1.61803398875, -0.61803398875, 0.0 ) ; glVertex3d ( 1.61803398875, 0.61803398875, 0.0 ) ; glVertex3d ( 1.0, 1.0, 1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_POLYGON ) ;
+ glNormal3d ( -0.850650808354, 0.0, 0.525731112119 ) ; glVertex3d ( -0.61803398875, 0.0, 1.61803398875 ) ; glVertex3d ( -1.0, 1.0, 1.0 ) ; glVertex3d ( -1.61803398875, 0.61803398875, 0.0 ) ; glVertex3d ( -1.61803398875, -0.61803398875, 0.0 ) ; glVertex3d ( -1.0, -1.0, 1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_POLYGON ) ;
+ glNormal3d ( 0.850650808354, 0.0, -0.525731112119 ) ; glVertex3d ( 0.61803398875, 0.0, -1.61803398875 ) ; glVertex3d ( 1.0, 1.0, -1.0 ) ; glVertex3d ( 1.61803398875, 0.61803398875, 0.0 ) ; glVertex3d ( 1.61803398875, -0.61803398875, 0.0 ) ; glVertex3d ( 1.0, -1.0, -1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_POLYGON ) ;
+ glNormal3d ( -0.850650808354, 0.0, -0.525731112119 ) ; glVertex3d ( -0.61803398875, 0.0, -1.61803398875 ) ; glVertex3d ( -1.0, -1.0, -1.0 ) ; glVertex3d ( -1.61803398875, -0.61803398875, 0.0 ) ; glVertex3d ( -1.61803398875, 0.61803398875, 0.0 ) ; glVertex3d ( -1.0, 1.0, -1.0 ) ;
+ glEnd () ;
+
+ glBegin ( GL_POLYGON ) ;
+ glNormal3d ( 0.525731112119, 0.850650808354, 0.0 ) ; glVertex3d ( 1.61803398875, 0.61803398875, 0.0 ) ; glVertex3d ( 1.0, 1.0, -1.0 ) ; glVertex3d ( 0.0, 1.61803398875, -0.61803398875 ) ; glVertex3d ( 0.0, 1.61803398875, 0.61803398875 ) ; glVertex3d ( 1.0, 1.0, 1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_POLYGON ) ;
+ glNormal3d ( 0.525731112119, -0.850650808354, 0.0 ) ; glVertex3d ( 1.61803398875, -0.61803398875, 0.0 ) ; glVertex3d ( 1.0, -1.0, 1.0 ) ; glVertex3d ( 0.0, -1.61803398875, 0.61803398875 ) ; glVertex3d ( 0.0, -1.61803398875, -0.61803398875 ) ; glVertex3d ( 1.0, -1.0, -1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_POLYGON ) ;
+ glNormal3d ( -0.525731112119, 0.850650808354, 0.0 ) ; glVertex3d ( -1.61803398875, 0.61803398875, 0.0 ) ; glVertex3d ( -1.0, 1.0, 1.0 ) ; glVertex3d ( 0.0, 1.61803398875, 0.61803398875 ) ; glVertex3d ( 0.0, 1.61803398875, -0.61803398875 ) ; glVertex3d ( -1.0, 1.0, -1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_POLYGON ) ;
+ glNormal3d ( -0.525731112119, -0.850650808354, 0.0 ) ; glVertex3d ( -1.61803398875, -0.61803398875, 0.0 ) ; glVertex3d ( -1.0, -1.0, -1.0 ) ; glVertex3d ( 0.0, -1.61803398875, -0.61803398875 ) ; glVertex3d ( 0.0, -1.61803398875, 0.61803398875 ) ; glVertex3d ( -1.0, -1.0, 1.0 ) ;
+ glEnd () ;
+}
+
+/*
+ *
+ */
+void GLUTAPIENTRY glutWireOctahedron( void )
+{
+#define RADIUS 1.0f
+ glBegin( GL_LINE_LOOP );
+ glNormal3d( 0.577350269189, 0.577350269189, 0.577350269189); glVertex3d( RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, RADIUS, 0.0 ); glVertex3d( 0.0, 0.0, RADIUS );
+ glNormal3d( 0.577350269189, 0.577350269189,-0.577350269189); glVertex3d( RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, RADIUS, 0.0 ); glVertex3d( 0.0, 0.0,-RADIUS );
+ glNormal3d( 0.577350269189,-0.577350269189, 0.577350269189); glVertex3d( RADIUS, 0.0, 0.0 ); glVertex3d( 0.0,-RADIUS, 0.0 ); glVertex3d( 0.0, 0.0, RADIUS );
+ glNormal3d( 0.577350269189,-0.577350269189,-0.577350269189); glVertex3d( RADIUS, 0.0, 0.0 ); glVertex3d( 0.0,-RADIUS, 0.0 ); glVertex3d( 0.0, 0.0,-RADIUS );
+ glNormal3d(-0.577350269189, 0.577350269189, 0.577350269189); glVertex3d(-RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, RADIUS, 0.0 ); glVertex3d( 0.0, 0.0, RADIUS );
+ glNormal3d(-0.577350269189, 0.577350269189,-0.577350269189); glVertex3d(-RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, RADIUS, 0.0 ); glVertex3d( 0.0, 0.0,-RADIUS );
+ glNormal3d(-0.577350269189,-0.577350269189, 0.577350269189); glVertex3d(-RADIUS, 0.0, 0.0 ); glVertex3d( 0.0,-RADIUS, 0.0 ); glVertex3d( 0.0, 0.0, RADIUS );
+ glNormal3d(-0.577350269189,-0.577350269189,-0.577350269189); glVertex3d(-RADIUS, 0.0, 0.0 ); glVertex3d( 0.0,-RADIUS, 0.0 ); glVertex3d( 0.0, 0.0,-RADIUS );
+ glEnd();
+#undef RADIUS
+}
+
+/*
+ *
+ */
+void GLUTAPIENTRY glutSolidOctahedron( void )
+{
+#define RADIUS 1.0f
+ glBegin( GL_TRIANGLES );
+ glNormal3d( 0.577350269189, 0.577350269189, 0.577350269189); glVertex3d( RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, RADIUS, 0.0 ); glVertex3d( 0.0, 0.0, RADIUS );
+ glNormal3d( 0.577350269189, 0.577350269189,-0.577350269189); glVertex3d( RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, RADIUS, 0.0 ); glVertex3d( 0.0, 0.0,-RADIUS );
+ glNormal3d( 0.577350269189,-0.577350269189, 0.577350269189); glVertex3d( RADIUS, 0.0, 0.0 ); glVertex3d( 0.0,-RADIUS, 0.0 ); glVertex3d( 0.0, 0.0, RADIUS );
+ glNormal3d( 0.577350269189,-0.577350269189,-0.577350269189); glVertex3d( RADIUS, 0.0, 0.0 ); glVertex3d( 0.0,-RADIUS, 0.0 ); glVertex3d( 0.0, 0.0,-RADIUS );
+ glNormal3d(-0.577350269189, 0.577350269189, 0.577350269189); glVertex3d(-RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, RADIUS, 0.0 ); glVertex3d( 0.0, 0.0, RADIUS );
+ glNormal3d(-0.577350269189, 0.577350269189,-0.577350269189); glVertex3d(-RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, RADIUS, 0.0 ); glVertex3d( 0.0, 0.0,-RADIUS );
+ glNormal3d(-0.577350269189,-0.577350269189, 0.577350269189); glVertex3d(-RADIUS, 0.0, 0.0 ); glVertex3d( 0.0,-RADIUS, 0.0 ); glVertex3d( 0.0, 0.0, RADIUS );
+ glNormal3d(-0.577350269189,-0.577350269189,-0.577350269189); glVertex3d(-RADIUS, 0.0, 0.0 ); glVertex3d( 0.0,-RADIUS, 0.0 ); glVertex3d( 0.0, 0.0,-RADIUS );
+ glEnd();
+#undef RADIUS
+}
+
+/*
+ *
+ */
+void GLUTAPIENTRY glutWireTetrahedron( void )
+{
+ /* Magic Numbers: r0 = ( 1, 0, 0 )
+ * r1 = ( -1/3, 2 sqrt(2) / 3, 0 )
+ * r2 = ( -1/3, -sqrt(2) / 3, sqrt(6) / 3 )
+ * r3 = ( -1/3, -sqrt(2) / 3, -sqrt(6) / 3 )
+ * |r0| = |r1| = |r2| = |r3| = 1
+ * Distance between any two points is 2 sqrt(6) / 3
+ *
+ * Normals: The unit normals are simply the negative of the coordinates of the point not on the surface.
+ */
+
+ double r0[3] = { 1.0, 0.0, 0.0 } ;
+ double r1[3] = { -0.333333333333, 0.942809041582, 0.0 } ;
+ double r2[3] = { -0.333333333333, -0.471404520791, 0.816496580928 } ;
+ double r3[3] = { -0.333333333333, -0.471404520791, -0.816496580928 } ;
+
+ glBegin( GL_LINE_LOOP ) ;
+ glNormal3d ( -1.0, 0.0, 0.0 ) ; glVertex3dv ( r1 ) ; glVertex3dv ( r3 ) ; glVertex3dv ( r2 ) ;
+ glNormal3d ( 0.333333333333, -0.942809041582, 0.0 ) ; glVertex3dv ( r0 ) ; glVertex3dv ( r2 ) ; glVertex3dv ( r3 ) ;
+ glNormal3d ( 0.333333333333, 0.471404520791, -0.816496580928 ) ; glVertex3dv ( r0 ) ; glVertex3dv ( r3 ) ; glVertex3dv ( r1 ) ;
+ glNormal3d ( 0.333333333333, 0.471404520791, 0.816496580928 ) ; glVertex3dv ( r0 ) ; glVertex3dv ( r1 ) ; glVertex3dv ( r2 ) ;
+ glEnd() ;
+}
+
+/*
+ *
+ */
+void GLUTAPIENTRY glutSolidTetrahedron( void )
+{
+ /* Magic Numbers: r0 = ( 1, 0, 0 )
+ * r1 = ( -1/3, 2 sqrt(2) / 3, 0 )
+ * r2 = ( -1/3, -sqrt(2) / 3, sqrt(6) / 3 )
+ * r3 = ( -1/3, -sqrt(2) / 3, -sqrt(6) / 3 )
+ * |r0| = |r1| = |r2| = |r3| = 1
+ * Distance between any two points is 2 sqrt(6) / 3
+ *
+ * Normals: The unit normals are simply the negative of the coordinates of the point not on the surface.
+ */
+
+ double r0[3] = { 1.0, 0.0, 0.0 } ;
+ double r1[3] = { -0.333333333333, 0.942809041582, 0.0 } ;
+ double r2[3] = { -0.333333333333, -0.471404520791, 0.816496580928 } ;
+ double r3[3] = { -0.333333333333, -0.471404520791, -0.816496580928 } ;
+
+ glBegin( GL_TRIANGLES ) ;
+ glNormal3d ( -1.0, 0.0, 0.0 ) ; glVertex3dv ( r1 ) ; glVertex3dv ( r3 ) ; glVertex3dv ( r2 ) ;
+ glNormal3d ( 0.333333333333, -0.942809041582, 0.0 ) ; glVertex3dv ( r0 ) ; glVertex3dv ( r2 ) ; glVertex3dv ( r3 ) ;
+ glNormal3d ( 0.333333333333, 0.471404520791, -0.816496580928 ) ; glVertex3dv ( r0 ) ; glVertex3dv ( r3 ) ; glVertex3dv ( r1 ) ;
+ glNormal3d ( 0.333333333333, 0.471404520791, 0.816496580928 ) ; glVertex3dv ( r0 ) ; glVertex3dv ( r1 ) ; glVertex3dv ( r2 ) ;
+ glEnd() ;
+}
+
+/*
+ *
+ */
+double icos_r[12][3] = { { 1.0, 0.0, 0.0 },
+ { 0.447213595500, 0.894427191000, 0.0 }, { 0.447213595500, 0.276393202252, 0.850650808354 }, { 0.447213595500, -0.723606797748, 0.525731112119 }, { 0.447213595500, -0.723606797748, -0.525731112119 }, { 0.447213595500, 0.276393202252, -0.850650808354 },
+ { -0.447213595500, -0.894427191000, 0.0 }, { -0.447213595500, -0.276393202252, 0.850650808354 }, { -0.447213595500, 0.723606797748, 0.525731112119 }, { -0.447213595500, 0.723606797748, -0.525731112119 }, { -0.447213595500, -0.276393202252, -0.850650808354 },
+ { -1.0, 0.0, 0.0 } } ;
+int icos_v [20][3] = { { 0, 1, 2 }, { 0, 2, 3 }, { 0, 3, 4 }, { 0, 4, 5 }, { 0, 5, 1 },
+ { 1, 8, 2 }, { 2, 7, 3 }, { 3, 6, 4 }, { 4, 10, 5 }, { 5, 9, 1 },
+ { 1, 9, 8 }, { 2, 8, 7 }, { 3, 7, 6 }, { 4, 6, 10 }, { 5, 10, 9 },
+ { 11, 9, 10 }, { 11, 8, 9 }, { 11, 7, 8 }, { 11, 6, 7 }, { 11, 10, 6 } } ;
+
+void GLUTAPIENTRY glutWireIcosahedron( void )
+{
+ int i ;
+ for ( i = 0; i < 20; i++ )
+ {
+ double normal[3] ;
+ normal[0] = ( icos_r[icos_v[i][1]][1] - icos_r[icos_v[i][0]][1] ) * ( icos_r[icos_v[i][2]][2] - icos_r[icos_v[i][0]][2] ) - ( icos_r[icos_v[i][1]][2] - icos_r[icos_v[i][0]][2] ) * ( icos_r[icos_v[i][2]][1] - icos_r[icos_v[i][0]][1] ) ;
+ normal[1] = ( icos_r[icos_v[i][1]][2] - icos_r[icos_v[i][0]][2] ) * ( icos_r[icos_v[i][2]][0] - icos_r[icos_v[i][0]][0] ) - ( icos_r[icos_v[i][1]][0] - icos_r[icos_v[i][0]][0] ) * ( icos_r[icos_v[i][2]][2] - icos_r[icos_v[i][0]][2] ) ;
+ normal[2] = ( icos_r[icos_v[i][1]][0] - icos_r[icos_v[i][0]][0] ) * ( icos_r[icos_v[i][2]][1] - icos_r[icos_v[i][0]][1] ) - ( icos_r[icos_v[i][1]][1] - icos_r[icos_v[i][0]][1] ) * ( icos_r[icos_v[i][2]][0] - icos_r[icos_v[i][0]][0] ) ;
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3dv ( normal ) ;
+ glVertex3dv ( icos_r[icos_v[i][0]] ) ;
+ glVertex3dv ( icos_r[icos_v[i][1]] ) ;
+ glVertex3dv ( icos_r[icos_v[i][2]] ) ;
+ glEnd () ;
+ }
+}
+
+/*
+ *
+ */
+void GLUTAPIENTRY glutSolidIcosahedron( void )
+{
+ int i ;
+
+ glBegin ( GL_TRIANGLES ) ;
+ for ( i = 0; i < 20; i++ )
+ {
+ double normal[3] ;
+ normal[0] = ( icos_r[icos_v[i][1]][1] - icos_r[icos_v[i][0]][1] ) * ( icos_r[icos_v[i][2]][2] - icos_r[icos_v[i][0]][2] ) - ( icos_r[icos_v[i][1]][2] - icos_r[icos_v[i][0]][2] ) * ( icos_r[icos_v[i][2]][1] - icos_r[icos_v[i][0]][1] ) ;
+ normal[1] = ( icos_r[icos_v[i][1]][2] - icos_r[icos_v[i][0]][2] ) * ( icos_r[icos_v[i][2]][0] - icos_r[icos_v[i][0]][0] ) - ( icos_r[icos_v[i][1]][0] - icos_r[icos_v[i][0]][0] ) * ( icos_r[icos_v[i][2]][2] - icos_r[icos_v[i][0]][2] ) ;
+ normal[2] = ( icos_r[icos_v[i][1]][0] - icos_r[icos_v[i][0]][0] ) * ( icos_r[icos_v[i][2]][1] - icos_r[icos_v[i][0]][1] ) - ( icos_r[icos_v[i][1]][1] - icos_r[icos_v[i][0]][1] ) * ( icos_r[icos_v[i][2]][0] - icos_r[icos_v[i][0]][0] ) ;
+ glNormal3dv ( normal ) ;
+ glVertex3dv ( icos_r[icos_v[i][0]] ) ;
+ glVertex3dv ( icos_r[icos_v[i][1]] ) ;
+ glVertex3dv ( icos_r[icos_v[i][2]] ) ;
+ }
+
+ glEnd () ;
+}
+
+/*
+ *
+ */
+double rdod_r[14][3] = { { 0.0, 0.0, 1.0 },
+ { 0.707106781187, 0.000000000000, 0.5 }, { 0.000000000000, 0.707106781187, 0.5 }, { -0.707106781187, 0.000000000000, 0.5 }, { 0.000000000000, -0.707106781187, 0.5 },
+ { 0.707106781187, 0.707106781187, 0.0 }, { -0.707106781187, 0.707106781187, 0.0 }, { -0.707106781187, -0.707106781187, 0.0 }, { 0.707106781187, -0.707106781187, 0.0 },
+ { 0.707106781187, 0.000000000000, -0.5 }, { 0.000000000000, 0.707106781187, -0.5 }, { -0.707106781187, 0.000000000000, -0.5 }, { 0.000000000000, -0.707106781187, -0.5 },
+ { 0.0, 0.0, -1.0 } } ;
+int rdod_v [12][4] = { { 0, 1, 5, 2 }, { 0, 2, 6, 3 }, { 0, 3, 7, 4 }, { 0, 4, 8, 1 },
+ { 5, 10, 6, 2 }, { 6, 11, 7, 3 }, { 7, 12, 8, 4 }, { 8, 9, 5, 1 },
+ { 5, 9, 13, 10 }, { 6, 10, 13, 11 }, { 7, 11, 13, 12 }, { 8, 12, 13, 9 } } ;
+double rdod_n[12][3] = {
+ { 0.353553390594, 0.353553390594, 0.5 }, { -0.353553390594, 0.353553390594, 0.5 }, { -0.353553390594, -0.353553390594, 0.5 }, { 0.353553390594, -0.353553390594, 0.5 },
+ { 0.000000000000, 1.000000000000, 0.0 }, { -1.000000000000, 0.000000000000, 0.0 }, { 0.000000000000, -1.000000000000, 0.0 }, { 1.000000000000, 0.000000000000, 0.0 },
+ { 0.353553390594, 0.353553390594, -0.5 }, { -0.353553390594, 0.353553390594, -0.5 }, { -0.353553390594, -0.353553390594, -0.5 }, { 0.353553390594, -0.353553390594, -0.5 }
+ } ;
+
+void GLUTAPIENTRY glutWireRhombicDodecahedron( void )
+{
+ int i ;
+ for ( i = 0; i < 12; i++ )
+ {
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3dv ( rdod_n[i] ) ;
+ glVertex3dv ( rdod_r[rdod_v[i][0]] ) ;
+ glVertex3dv ( rdod_r[rdod_v[i][1]] ) ;
+ glVertex3dv ( rdod_r[rdod_v[i][2]] ) ;
+ glVertex3dv ( rdod_r[rdod_v[i][3]] ) ;
+ glEnd () ;
+ }
+}
+
+/*
+ *
+ */
+void GLUTAPIENTRY glutSolidRhombicDodecahedron( void )
+{
+ int i ;
+
+ glBegin ( GL_QUADS ) ;
+ for ( i = 0; i < 12; i++ )
+ {
+ glNormal3dv ( rdod_n[i] ) ;
+ glVertex3dv ( rdod_r[rdod_v[i][0]] ) ;
+ glVertex3dv ( rdod_r[rdod_v[i][1]] ) ;
+ glVertex3dv ( rdod_r[rdod_v[i][2]] ) ;
+ glVertex3dv ( rdod_r[rdod_v[i][3]] ) ;
+ }
+
+ glEnd () ;
+}
+
+#define NUM_FACES 4
+
+static GLdouble tetrahedron_v[4][3] = /* Vertices */
+{
+ { -0.5, -0.288675134595, -0.144337567297 },
+ { 0.5, -0.288675134595, -0.144337567297 },
+ { 0.0, 0.577350269189, -0.144337567297 },
+ { 0.0, 0.0, 0.672159013631 }
+} ;
+
+static GLint tetrahedron_i[4][3] = /* Vertex indices */
+{
+ { 0, 1, 2 }, { 0, 2, 3 }, { 0, 3, 1 }, { 1, 3, 2 }
+} ;
+
+static GLdouble tetrahedron_n[4][3] = /* Normals */
+{
+ { 0.0, 0.0, -1.0 },
+ { -0.816496580928, 0.471404520791, 0.333333333333 },
+ { 0.0, -0.942809041582, 0.333333333333 },
+ { 0.816496580928, 0.471404520791, 0.333333333333 }
+} ;
+
+void GLUTAPIENTRY glutWireSierpinskiSponge ( int num_levels, GLdouble offset[3], GLdouble scale )
+{
+ int i, j ;
+
+ if ( num_levels == 0 )
+ {
+
+ for ( i = 0 ; i < NUM_FACES ; i++ )
+ {
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3dv ( tetrahedron_n[i] ) ;
+ for ( j = 0; j < 3; j++ )
+ {
+ double x = offset[0] + scale * tetrahedron_v[tetrahedron_i[i][j]][0] ;
+ double y = offset[1] + scale * tetrahedron_v[tetrahedron_i[i][j]][1] ;
+ double z = offset[2] + scale * tetrahedron_v[tetrahedron_i[i][j]][2] ;
+ glVertex3d ( x, y, z ) ;
+ }
+
+ glEnd () ;
+ }
+ }
+ else
+ {
+ GLdouble local_offset[3] ; /* Use a local variable to avoid buildup of roundoff errors */
+ num_levels -- ;
+ scale /= 2.0 ;
+ local_offset[0] = offset[0] + scale * tetrahedron_v[0][0] ;
+ local_offset[1] = offset[1] + scale * tetrahedron_v[0][1] ;
+ local_offset[2] = offset[2] + scale * tetrahedron_v[0][2] ;
+ glutWireSierpinskiSponge ( num_levels, local_offset, scale ) ;
+ local_offset[0] += scale ;
+ glutWireSierpinskiSponge ( num_levels, local_offset, scale ) ;
+ local_offset[0] -= 0.5 * scale ;
+ local_offset[1] += 0.866025403784 * scale ;
+ glutWireSierpinskiSponge ( num_levels, local_offset, scale ) ;
+ local_offset[1] -= 0.577350269189 * scale ;
+ local_offset[2] += 0.816496580928 * scale ;
+ glutWireSierpinskiSponge ( num_levels, local_offset, scale ) ;
+ }
+}
+
+void GLUTAPIENTRY glutSolidSierpinskiSponge ( int num_levels, GLdouble offset[3], GLdouble scale )
+{
+ int i, j ;
+
+ if ( num_levels == 0 )
+ {
+ glBegin ( GL_TRIANGLES ) ;
+
+ for ( i = 0 ; i < NUM_FACES ; i++ )
+ {
+ glNormal3dv ( tetrahedron_n[i] ) ;
+ for ( j = 0; j < 3; j++ )
+ {
+ double x = offset[0] + scale * tetrahedron_v[tetrahedron_i[i][j]][0] ;
+ double y = offset[1] + scale * tetrahedron_v[tetrahedron_i[i][j]][1] ;
+ double z = offset[2] + scale * tetrahedron_v[tetrahedron_i[i][j]][2] ;
+ glVertex3d ( x, y, z ) ;
+ }
+ }
+
+ glEnd () ;
+ }
+ else
+ {
+ GLdouble local_offset[3] ; /* Use a local variable to avoid buildup of roundoff errors */
+ num_levels -- ;
+ scale /= 2.0 ;
+ local_offset[0] = offset[0] + scale * tetrahedron_v[0][0] ;
+ local_offset[1] = offset[1] + scale * tetrahedron_v[0][1] ;
+ local_offset[2] = offset[2] + scale * tetrahedron_v[0][2] ;
+ glutSolidSierpinskiSponge ( num_levels, local_offset, scale ) ;
+ local_offset[0] += scale ;
+ glutSolidSierpinskiSponge ( num_levels, local_offset, scale ) ;
+ local_offset[0] -= 0.5 * scale ;
+ local_offset[1] += 0.866025403784 * scale ;
+ glutSolidSierpinskiSponge ( num_levels, local_offset, scale ) ;
+ local_offset[1] -= 0.577350269189 * scale ;
+ local_offset[2] += 0.816496580928 * scale ;
+ glutSolidSierpinskiSponge ( num_levels, local_offset, scale ) ;
+ }
+}
+
+#undef NUM_FACES
+
+/*** END OF FILE ***/
generated by cgit v1.2.3 (git 2.39.1) at 2024-12-19 03:53:29 +0000