📄 contour2.c
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/* coutour2.c */
/* E. Angel, Interactive Computer Graphics */
/* A Top-Down Approach with OpenGL, Third Edition */
/* Addison-Wesley Longman, 2003 */
/* Genarates contours using marching squares */
/* region size */
#define X_MAX 1.0#define Y_MAX 1.0#define X_MIN -1.0#define Y_MIN -1.0
/* number of cells */
#define N_X 50#define N_Y 50
/* contour value */
#define THRESHOLD 0.0#include <GL/glut.h>void display(){double f(double,double);int cell(double, double, double, double);void lines(int, int, int, double, double, double, double);double data[N_X][N_Y];int i,j;int c;glClear(GL_COLOR_BUFFER_BIT);
/* form data array from function */
for(i=0;i<N_X;i++) for (j=0;j<N_Y;j++) data[i][j]=f(X_MIN+i*(X_MAX-(X_MIN))/(N_X-1.0),Y_MIN+j*(Y_MAX-(Y_MIN))/(N_Y-1.0));
/* process each cell */
for(i=0;i<N_X;i++) for (j=0;j<N_Y;j++) { c=cell(data[i][j], data[i+1][j], data[i+1][j+1], data[i][j+1]); lines(c,i,j,data[i][j], data[i+1][j], data[i+1][j+1], data[i][j+1]); }
glFlush();}
/* define function f(x,y) */double f(double x, double y){/* return x*x+y*y-0.1; */double a=0.49, b=0.5;
/* Ovals of Cassini */return (x*x+y*y+a*a)*(x*x+y*y+a*a)-4*a*a*x*x-b*b*b*b;}
/* define cell vertices */
int cell(double a, double b, double c , double d){ int n=0; if(a>THRESHOLD) n+=1; if(b>THRESHOLD) n+=8; if(c>THRESHOLD) n+=4; if(d>THRESHOLD) n+=2; return n;}
/* draw line segments for each case */
void lines(int num, int i, int j, double a, double b, double c, double d){void draw_one(int, int, int, double, double, double, double);void draw_adjacent(int, int, int, double, double, double, double);void draw_opposite(int, int, int, double, double, double, double); switch(num) { case 1: case 2: case 4: case 7: case 8: case 11: case 13: case 14: draw_one(num, i,j,a,b,c,d); break; case 3: case 6: case 9: case 12: draw_adjacent(num,i,j,a,b,c,d); break; case 5: case 10: draw_opposite(num, i,j,a,b,c,d); break; case 0: case 15: break; }}void draw_one(int num, int i, int j, double a, double b, double c, double d){ double x1, y1, x2, y2; double ox, oy; double dx, dy; dx=(X_MAX-(X_MIN))/(N_X-1.0); dy=(Y_MAX-(Y_MIN))/(N_Y-1.0); ox=X_MIN+i*(X_MAX-(X_MIN))/(N_X-1.0); oy=Y_MIN+j*(Y_MAX-(Y_MIN))/(N_Y-1.0); switch(num) { case 1: case 14: x1=ox; y1=oy+dy*(THRESHOLD-a)/(d-a); x2=ox+dx*(THRESHOLD-a)/(b-a); y2=oy; break; case 2: case 13: x1=ox; y1=oy+dy*(THRESHOLD-a)/(d-a); x2=ox+dx*(THRESHOLD-d)/(c-d); y2=oy+dy; break; case 4: case 11: x1=ox+dx*(THRESHOLD-d)/(c-d); y1=oy+dy; x2=ox+dx; y2=oy+dy*(THRESHOLD-b)/(c-b); break; case 7: case 8: x1=ox+dx*(THRESHOLD-a)/(b-a); y1=oy; x2=ox+dx; y2=oy+dy*(THRESHOLD-b)/(c-b); break; } glBegin(GL_LINES); glVertex2d(x1, y1); glVertex2d(x2, y2); glEnd();}void draw_adjacent(int num, int i, int j, double a, double b, double c, double d){ double x1, y1, x2, y2; double ox, oy; double dx, dy; dx=(X_MAX-(X_MIN))/(N_X-1.0); dy=(Y_MAX-(Y_MIN))/(N_Y-1.0); ox=X_MIN+i*(X_MAX-(X_MIN))/(N_X-1.0); oy=Y_MIN+j*(Y_MAX-(Y_MIN))/(N_Y-1.0); switch(num) { case 3: case 12: x1=ox+dx*(THRESHOLD-a)/(b-a); y1=oy; x2=ox+dx*(THRESHOLD-d)/(c-d); y2=oy+dy; break; case 6: case 9: x1=ox; y1=oy+dy*(THRESHOLD-a)/(d-a); x2=ox+dx; y2=oy+dy*(THRESHOLD-b)/(c-b); break; } glBegin(GL_LINES); glVertex2d(x1, y1); glVertex2d(x2, y2); glEnd();}void draw_opposite(int num, int i, int j, double a, double b, double c, double d){ double x1,y1,x2,y2,x3,y3,x4,y4; double ox, oy; double dx, dy; dx=(X_MAX-(X_MIN))/(N_X-1.0); dy=(Y_MAX-(Y_MIN))/(N_Y-1.0); ox=X_MIN+i*(X_MAX-(X_MIN))/(N_X-1.0); oy=Y_MIN+j*(Y_MAX-(Y_MIN))/(N_Y-1.0); switch(num) { case5: x1=ox; y1=oy+dy*(THRESHOLD-a)/(d-a); x2=ox+dx*(THRESHOLD-a)/(b-a); y2=oy; x3=ox+dx*(THRESHOLD-d)/(c-d); y3=oy+dy; x4=ox+dx; y4=oy+dy*(THRESHOLD-b)/(c-b); break; case 10: x1=ox; y1=oy+dy*(THRESHOLD-a)/(d-a); x2=ox+dx*(THRESHOLD-d)/(c-d); y2=oy+dy; x3=ox+dy*(THRESHOLD-a)/(b-a); y3=oy; x4=ox+dx; y4=oy+dy*(THRESHOLD-b)/(c-b); break; } glBegin(GL_LINES); glVertex2d(x1, y1); glVertex2d(x2, y2); glVertex2d(x3, y3); glVertex2d(x4, y4); glEnd();}void myReshape(int w, int h){glViewport(0, 0, w, h);glMatrixMode(GL_PROJECTION);glLoadIdentity();if (w <= h)gluOrtho2D(X_MIN, X_MAX, Y_MIN * (GLfloat) h / (GLfloat) w,Y_MAX * (GLfloat) h / (GLfloat) w);elsegluOrtho2D(X_MIN * (GLfloat) w / (GLfloat) h,X_MAX * (GLfloat) w / (GLfloat) h, Y_MIN, Y_MAX);glMatrixMode(GL_MODELVIEW);}voidmain(int argc, char **argv){glutInit(&argc, argv);glutInitWindowSize(500, 500);glutCreateWindow("contour plot");glutReshapeFunc(myReshape);glutDisplayFunc(display);glClearColor(0.0,0.0,0.0,1.0);glColor3f(1.0,1.0,1.0);glutMainLoop();}
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