📄 tetra.c
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/* tetra.c */
/* E. Angel, Interactive Computer Graphics */
/* A Top-Down Approach with OpenGL, Third Edition */
/* Addison-Wesley Longman, 2003 */
/* Recursive subdivision of tetrahedron to form 3D Sierpinski gasket */#include <stdlib.h>#include <GL/glut.h>typedef float point[3];/* initial tetrahedron */point v[]={{0.0, 0.0, 1.0}, {0.0, 0.942809, -0.33333}, {-0.816497, -0.471405, -0.333333}, {0.816497, -0.471405, -0.333333}};static GLfloat theta[] = {0.0,0.0,0.0};int n;void triangle( point a, point b, point c)/* display one triangle using a line loop for wire frame, a singlenormal for constant shading, or three normals for interpolative shading */{ glBegin(GL_POLYGON); glNormal3fv(a); glVertex3fv(a); glVertex3fv(b); glVertex3fv(c); glEnd();}void divide_triangle(point a, point b, point c, int m){/* triangle subdivision using vertex numbersrighthand rule applied to create outward pointing faces */ point v1, v2, v3; int j; if(m>0) { for(j=0; j<3; j++) v1[j]=(a[j]+b[j])/2; for(j=0; j<3; j++) v2[j]=(a[j]+c[j])/2; for(j=0; j<3; j++) v3[j]=(b[j]+c[j])/2; divide_triangle(a, v1, v2, m-1); divide_triangle(c, v2, v3, m-1); divide_triangle(b, v3, v1, m-1); } else(triangle(a,b,c)); /* draw triangle at end of recursion */}void tetrahedron( int m){/* Apply triangle subdivision to faces of tetrahedron */ glColor3f(1.0,0.0,0.0); divide_triangle(v[0], v[1], v[2], m); glColor3f(0.0,1.0,0.0); divide_triangle(v[3], v[2], v[1], m); glColor3f(0.0,0.0,1.0); divide_triangle(v[0], v[3], v[1], m); glColor3f(0.0,0.0,0.0); divide_triangle(v[0], v[2], v[3], m);}void display(void){ glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT); glLoadIdentity(); tetrahedron(n); glFlush();}void myReshape(int w, int h){ glViewport(0, 0, w, h); glMatrixMode(GL_PROJECTION); glLoadIdentity(); if (w <= h) glOrtho(-2.0, 2.0, -2.0 * (GLfloat) h / (GLfloat) w, 2.0 * (GLfloat) h / (GLfloat) w, -10.0, 10.0); else glOrtho(-2.0 * (GLfloat) w / (GLfloat) h, 2.0 * (GLfloat) w / (GLfloat) h, -2.0, 2.0, -10.0, 10.0); glMatrixMode(GL_MODELVIEW); glutPostRedisplay();}voidmain(int argc, char **argv){ n=4; glutInit(&argc, argv); glutInitDisplayMode(GLUT_SINGLE | GLUT_RGB | GLUT_DEPTH); glutInitWindowSize(500, 500); glutCreateWindow("3D Gasket"); glutReshapeFunc(myReshape); glutDisplayFunc(display); glEnable(GL_DEPTH_TEST); glClearColor (1.0, 1.0, 1.0, 1.0); glutMainLoop();}
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