3D Cube Transformations

 

Group C  

Practical 6 b  

Problem Statement :  Write C++ program to draw 3-D cube and perform following transformations on it using OpenGL i) Scaling ii) Translation iii) Rotation about an axis (X/Y/Z).

Check Out Code Here 👇

	#include<iostream>
	#include<math.h>
	#include<GL/glut.h>
	using namespace std;
	typedef float Matrix4 [4][4];
	Matrix4 theMatrix;
	static GLfloat input[8][3]=
	{
	{40,40,-50},{90,40,-50},{90,90,-50},{40,90,-50},
	{30,30,0},{80,30,0},{80,80,0},{30,80,0}
	};
	float output[8][3];
	float tx,ty,tz;
	float sx,sy,sz;
	float angle;
	int choice,choiceRot;
	void setIdentityM(Matrix4 m)
	{
	for(int i=0;i<4;i++)
	for(int j=0;j<4;j++)
	m[i][j]=(i==j);
	}
	void translate(int tx,int ty,int tz)
	{
	for(int i=0;i<8;i++)
	{
	output[i][0]=input[i][0]+tx;
	output[i][1]=input[i][1]+ty;
	output[i][2]=input[i][2]+tz;
	}
	}
	void scale(int sx,int sy,int sz)
	{
	theMatrix[0][0]=sx;
	theMatrix[1][1]=sy;
	theMatrix[2][2]=sz;
	}
	void RotateX(float angle) //Parallel to x
	{
	angle = angle*3.142/180;
	theMatrix[1][1] = cos(angle);
	theMatrix[1][2] = -sin(angle);
	theMatrix[2][1] = sin(angle);
	theMatrix[2][2] = cos(angle);
	}
	void RotateY(float angle) //parallel to y
	{
	angle = angle*3.14/180;
	theMatrix[0][0] = cos(angle);
	theMatrix[0][2] = -sin(angle);
	theMatrix[2][0] = sin(angle);
	theMatrix[2][2] = cos(angle);
	}
	void RotateZ(float angle) //parallel to z
	{
	angle = angle*3.14/180;
	theMatrix[0][0] = cos(angle);
	theMatrix[0][1] = sin(angle);
	theMatrix[1][0] = -sin(angle);
	theMatrix[1][1] = cos(angle);
	}
	void multiplyM()
	{
	for(int i=0;i<8;i++)
	{
	for(int j=0;j<3;j++)
	{
	output[i][j]=0;
	for(int k=0;k<3;k++)
	{
	output[i][j]=output[i][j]+input[i][k]*theMatrix[k][j];
	}
	}
	}
	}
	void Axes(void)
	{
	glColor3f (0.0, 0.0, 0.0); // Set the color to BLACK
	glBegin(GL_LINES); // Plotting X-Axis
	glVertex2s(-1000 ,0);
	glVertex2s( 1000 ,0);
	glEnd();
	glBegin(GL_LINES); // Plotting Y-Axis
	glVertex2s(0 ,-1000);
	glVertex2s(0 , 1000);
	glEnd();
	}
	void draw(float a[8][3])
	{
	glBegin(GL_QUADS);
	glColor3f(0.7,0.4,0.5); //behind
	glVertex3fv(a[0]);
	glVertex3fv(a[1]);
	glVertex3fv(a[2]);
	glVertex3fv(a[3]);
	glColor3f(0.8,0.2,0.4); //bottom
	glVertex3fv(a[0]);
	glVertex3fv(a[1]);
	glVertex3fv(a[5]);
	glVertex3fv(a[4]);
	glColor3f(0.3,0.6,0.7); //left
	glVertex3fv(a[0]);
	glVertex3fv(a[4]);
	glVertex3fv(a[7]);
	glVertex3fv(a[3]);
	glColor3f(0.2,0.8,0.2); //right
	glVertex3fv(a[1]);
	glVertex3fv(a[2]);
	glVertex3fv(a[6]);
	glVertex3fv(a[5]);
	glColor3f(0.7,0.7,0.2); //up
	glVertex3fv(a[2]);
	glVertex3fv(a[3]);
	glVertex3fv(a[7]);
	glVertex3fv(a[6]);
	glColor3f(1.0,0.1,0.1);
	glVertex3fv(a[4]);
	glVertex3fv(a[5]);
	glVertex3fv(a[6]);
	glVertex3fv(a[7]);
	glEnd();
	}
	void init()
	{
	glClearColor(1.0,1.0,1.0,1.0); //set backgrond color to white
	glOrtho(-454.0,454.0,-250.0,250.0,-250.0,250.0);
	// Set the no. of Co-ordinates along X & Y axes and their gappings
	glEnable(GL_DEPTH_TEST);
	// To Render the surfaces Properly according to their depths
	}
	void display()
	{
	glClear(GL_COLOR_BUFFER_BIT|GL_DEPTH_BUFFER_BIT);
	Axes();
	glColor3f(1.0,0.0,0.0);
	draw(input);
	setIdentityM(theMatrix);
	switch(choice)
	{
	case 1:
	translate(tx,ty,tz);
	break;
	case 2:
	scale(sx,sy,sz);
	multiplyM();
	break;
	case 3:
	switch (choiceRot) {
	case 1:
	RotateX(angle);
	break;
	case 2: RotateY(angle);
	break;
	case 3:
	RotateZ(angle);
	break;
	default:
	break;
	}
	multiplyM();
	break;
	}
	draw(output);
	glFlush();
	}
	int main(int argc, char** argv)
	{
	glutInit(&argc,argv);
	glutInitDisplayMode(GLUT_SINGLE|GLUT_RGB|GLUT_DEPTH);
	glutInitWindowSize(1362,750);
	glutInitWindowPosition(0,0);
	glutCreateWindow("3D TRANSFORMATIONS");
	init();
	cout<<"Enter your choice number:\n1.Translation\n2.Scaling\n3.Rotation\n=>";
	cin>>choice;
	switch (choice) {
	case 1:
	cout<<"\nEnter Tx,Ty &Tz: \n";
	cin>>tx>>ty>>tz;
	break;
	case 2:
	cout<<"\nEnter Sx,Sy & Sz: \n";
	cin>>sx>>sy>>sz;
	break;
	case 3:
	cout<<"Enter your choice for Rotation about axis:\n1.parallel to X-axis."
	<<"(y& z)\n2.parallel to Y-axis.(x& z)\n3.parallel to Z-axis."
	<<"(x& y)\n =>";
	cin>>choiceRot;
	switch (choiceRot) {
	case 1:
	cout<<"\nENter Rotation angle: ";
	cin>>angle;
	break;
	case 2:
	cout<<"\nENter Rotation angle: ";
	cin>>angle;
	break;
	case 3:
	cout<<"\nENter Rotation angle: ";
	cin>>angle;
	break;
	default:
	break;
	}
	break;
	default:
	break;
	}
	glutDisplayFunc(display);
	glutMainLoop();
	return 0;
	}

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Code can get updated so also come back later to see if there is any changes. Also if there is any problem with code you can comment below. If you like it, do share with your friends.😊