Merhaba arkadaşlar bu yazımda sizlere opengl ile çember türevleri olan limacon,cardioid,threeLeaf, fourLeaf, spiral in nasıl çizileceğini anlatacağım.
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#include <GL/glut.h> #include <stdlib.h> #include <math.h> using namespace std; #include <iostream> struct screenPt { GLint x; GLint y; }; typedef enum { limacon = 1, cardioid, threeLeaf, fourLeaf, spiral } curveName; GLsizei winWidth = 600, winHeight = 500; // Initial display window size. void init(void) { glClearColor(1.0, 1.0, 1.0, 1.0); glMatrixMode(GL_PROJECTION); gluOrtho2D(0.0, 200.0, 0.0, 150.0); } void lineSegment(screenPt pt1, screenPt pt2) { glBegin(GL_LINES); glVertex2i(pt1.x, pt1.y); glVertex2i(pt2.x, pt2.y); glEnd(); } void drawCurve(GLint curveNum) { /* The limacon of Pascal is a modification of the circle equation * with the radius varying as r = a * cos (theta) + b, where a * and b are constants. A cardioid is a limacon with a = b. * Three-leaf and four-leaf curves are generated when * r = a * cos (n * theta), with n = 3 and n = 2, respectively. * A spiral is displayed when r is a multiple of theta. */ const GLdouble twoPi = 6.283185; const GLint a = 175, b = 60; GLfloat r, theta, dtheta = 1.0 / float(a); GLint x0 = 200, y0 = 250; // Set an initial screen position. screenPt curvePt[2]; glColor3f(0.0, 0.0, 0.0); // Set curve color to black. curvePt[0].x = x0; // Initialize curve position. curvePt[0].y = y0; switch (curveNum) { case limacon: curvePt[0].x += a + b; break; case cardioid: curvePt[0].x += a + a; break; case threeLeaf: curvePt[0].x += a; break; case fourLeaf: curvePt[0].x += a; break; case spiral: break; default: break; } theta = dtheta; while (theta < twoPi) { switch (curveNum) { case limacon: r = a * cos(theta) + b; break; case cardioid: r = a * (1 + cos(theta)); break; case threeLeaf: r = a * cos(3 * theta); break; case fourLeaf: r = a * cos(2 * theta); break; case spiral: r = (a / 4.0) * theta; break; default: break; } curvePt[1].x = x0 + r * cos(theta); curvePt[1].y = y0 + r * sin(theta); lineSegment(curvePt[0], curvePt[1]); curvePt[0].x = curvePt[1].x; curvePt[0].y = curvePt[1].y; theta += dtheta; } } void displayFcn(void) { GLint curveNum; glClear(GL_COLOR_BUFFER_BIT); // Clear display window. cout << "\nEnter the integer value corresponding to\n"; cout << "one of the following curve names.\n"; cout << "Press any other key to exit.\n"; cout << "\n1-limacon, 2-cardioid, 3-threeLeaf, 4-fourLeaf, 5-spiral: "; cin >> curveNum; if (curveNum == 1 || curveNum == 2 || curveNum == 3 || curveNum == 4 || curveNum == 5) drawCurve(curveNum); else exit(0); glFlush(); } void winReshapeFcn(GLint newWidth, GLint newHeight) { glMatrixMode(GL_PROJECTION); glLoadIdentity(); gluOrtho2D(0.0, (GLdouble)newWidth, 0.0, (GLdouble)newHeight); glClear(GL_COLOR_BUFFER_BIT); } void main(int argc, char** argv) { glutInit(&argc, argv); glutInitDisplayMode(GLUT_SINGLE | GLUT_RGB); glutInitWindowPosition(100, 100); glutInitWindowSize(winWidth, winHeight); glutCreateWindow("Draw Curves"); init(); glutDisplayFunc(displayFcn); glutReshapeFunc(winReshapeFcn); glutMainLoop(); } |
Programı çalıştırdıktan sonra arkadaki konsol ekranından çizdirilmesi gereken şekli seçip ekrana bastırabiliriz.
1-Limacon
2-
3-threeLeaf
4-fourLeaf
5-spiral:
5 farklı türde çember türevleri yukarıdaki gibidir.