Opengl: how to make this triangle centred on the window - opengl

Question

#include <GL/glut.h>
GLint winWidth = 600, winHeight = 600;
GLfloat x0 = 100.0, y0 = 100.0, z0 = 50.0;
GLfloat xref = 50, yref = 50.0, zref = 0.0;
GLfloat Vx = 0.0, Vy = 1.0, Vz = 0.0;
GLfloat xwMin = -40.0, ywMin = -60.0, xwMax = 40.0, ywMax = 60.0;
GLfloat dnear = 25.0, dfar = 125.0;
void init (void)
{
glClearColor (1.0, 1.0, 1.0, 0.0);
//glMatrixMode(GL_MODELVIEW);
//gluLookAt(x0, y0, z0, xref, yref, zref, Vx, Vy, Vz);
glMatrixMode(GL_PROJECTION);
glLoadIdentity();
//glOrtho(0,1,0,1, 0,0.1);
//gluOrtho2D(0, 1,0,1);
//gluPerspective(45, 1.2, 1, 10);
glFrustum(0, 1, 0, 1, 0, 1);
//gluPerspective(45.0, 1, 1, 15);
}
void displayFcn (void)
{
glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
glColor3f(0.0, 1.0, 0.0);
//glPolygonMode(GL_FRONT, GL_FILL);
//glPolygonMode(GL_BACK, GL_FILL);
glBegin(GL_TRIANGLES);
glVertex3f(0.0, 0.0, 0.0);
glVertex3f(1.0, 0.0, 0.0);
glVertex3f(0.5, 1.0, 0.0);
glEnd();
glFlush();
}
void reshapeFcn(GLint newWidth, GLint newHeight)
{
glViewport(0,0,newWidth, newHeight);
winWidth = newWidth;
winHeight = newHeight;
}
void main(int argc, char** argv)
{
glutInit(&argc, argv);
glutInitDisplayMode(GLUT_SINGLE|GLUT_RGB);
glutInitWindowPosition(400,200);
glutInitWindowSize(winWidth, winHeight);
glutCreateWindow("Test");
init();
glutDisplayFunc(displayFcn);
glutReshapeFunc(reshapeFcn);
glutMainLoop();
}
This is the full source code, you can copy and paste to your VS solution and compile.
You'll need to have glut installed.
The result comes up like this:

Answer 1

The center of the window is 0,0 in opengl. So, when you calculate the vertices, you have to calculate them such that the center of the triangle is 0,0.
glBegin(GL_TRIANGLES);
glVertex3f(0.0, 0.0, 0.0);
glVertex3f(1.0, 0.0, 0.0);
glVertex3f(0.5, 1.0, 0.0);
glEnd();
those coords will need to be updated, you can find a discussion on finding the centers of triangles at this question: finding center of 2D triangle which sounds like it's from a similar homework assignment.

Answer 2

glTranslatef(-0.5f, -0.5f, 0.0f);

Answer 3

The default perspective for OpenGL is the origin centered and the window x and y ranging from -1 to 1. You can either change this by changing the default viewing volume or changing the coordinates of your triangle.
Either
glTranslatef(-.5f, -.5f, .0f);
or
glBegin(GL_TRIANGLES);
glVertex3f(-.5, -.5, 0.0);
glVertex3f(.50, -.5, 0.0);
glVertex3f(0, .5, 0.0);
glEnd();
will work.

Answer 4

It looks like you're trying to use glFrustum where you want to use glOrtho
glFrustum is supposed to be used for generating a perspective matrix. zNear is never 0. The way you call it right now generates an error GL_INVALID_VALUE, so you get the default projection matrix, the identity.