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dft.cpp
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/*
*DFT calculus and graphics exhibition using OpenGL
*
*Rodrigo Borges de Oliveira
*/
#include<windows.h>
#include<GL/glut.h>
#include <iostream>
#include <math.h>
#include <complex>
#include <fstream>
#include<string>
#define FS 8000
#define N 18
using namespace std;
void Texto(void *fonte,char *str){
while(*str)
glutBitmapCharacter(GLUT_BITMAP_TIMES_ROMAN_10,*str++);
}
void DesenhaReal(){
double maior, real[N], x;
char* buffer = new char[30];
char valor[30];
ifstream ler;
ler.open("XmReal.txt");
for(int m = 0; m<N; m++){
ler >> real[m];
//cout << real[m] << endl;
if(m!=0){
if(real[m]>real[m-1]){
maior = real[m];
}
}
}
ler.close();
glClear(GL_COLOR_BUFFER_BIT);
glMatrixMode(GL_PROJECTION);
glLoadIdentity();
gluOrtho2D(-1,FS/1000+2,-(maior+1.2),maior+1.2);
glMatrixMode(GL_MODELVIEW);
glLoadIdentity();
glColor3f(0.5,0.5,0.5);
//X e Y
glBegin(GL_LINES);
glVertex2f(0,0);
glVertex2f(FS/1000+1,0);
glVertex2f(0,-(maior+0.7));
glVertex2f(0,maior+0.7);
glEnd();
//Arrow at x and y
glBegin(GL_TRIANGLES);
//Flecha em x
glVertex2f(FS/1000+1,0.05);
glVertex2f(FS/1000+1.05,0);
glVertex2f(FS/1000+1,-0.05);
glEnd();
glBegin(GL_TRIANGLES);
//Arrow at y
glVertex2f(-0.05,maior+0.7);
glVertex2f(0,maior+0.75);
glVertex2f(0.05,maior+0.7);
glEnd();
//Text X(m)
glColor3f(0,0,0);
glRasterPos2f(0.1,maior+0.7);
Texto(GLUT_BITMAP_TIMES_ROMAN_10,"X(m)");
//Text KHz
glColor3f(0,0,0);
glRasterPos2f(FS/1000+1,0.1);
Texto(GLUT_BITMAP_TIMES_ROMAN_10,"KHz");
for(int i=0; i<N; i++){
glColor3f(0,0,0);
glPointSize(2.5);
x = (i*FS/N);
x = x/1000;
glBegin(GL_LINES);
glVertex2f(x,0);
glVertex2f(x,real[i]);
glEnd();
glBegin(GL_POINTS);
glVertex2f(x,real[i]);
glEnd();
//Y values
glColor3f(0,0,0);
glRasterPos2f(-.7,real[i]);
sprintf(buffer,"%.10g", real[i] );
sprintf(valor,buffer);
Texto(GLUT_BITMAP_TIMES_ROMAN_10,valor);
//X values
glColor3f(0,0,0);
if(real[i]>=0){
glRasterPos2f(x,-0.5);
}
else{
glRasterPos2f(x,0.5);
}
sprintf(buffer,"%.10g", x);
sprintf(valor,buffer);
Texto(GLUT_BITMAP_TIMES_ROMAN_10,valor);
glFlush();
}
}
void DesenhaImag(){
double maior, imag[N], x;
char* buffer = new char[30];
char valor[30];
ifstream ler;
ler.open("XmImag.txt");
for(int m = 0; m<N; m++){
ler >> imag[m];
//cout << imag[m] << endl;
if(m!=0){
if(imag[m]>imag[m-1]){
maior = imag[m];
}
}
}
ler.close();
glClear(GL_COLOR_BUFFER_BIT);
glMatrixMode(GL_PROJECTION);
glLoadIdentity();
gluOrtho2D(-1,FS/1000+2,-(maior+1.2),maior+1.2);
glMatrixMode(GL_MODELVIEW);
glLoadIdentity();
glColor3f(0.5,0.5,0.5);
//X e Y
glBegin(GL_LINES);
glVertex2f(0,0);
glVertex2f(FS/1000+1,0);
glVertex2f(0,-(maior+0.7));
glVertex2f(0,maior+0.7);
glEnd();
//Arrow at x and y
glBegin(GL_TRIANGLES);
//Arrow at x
glVertex2f(FS/1000+1,0.05);
glVertex2f(FS/1000+1.05,0);
glVertex2f(FS/1000+1,-0.05);
glEnd();
glBegin(GL_TRIANGLES);
//Arrow at y
glVertex2f(-0.05,maior+0.7);
glVertex2f(0,maior+0.75);
glVertex2f(0.05,maior+0.7);
glEnd();
//Text X(m)
glColor3f(0,0,0);
glRasterPos2f(0.1,maior+0.7);
Texto(GLUT_BITMAP_TIMES_ROMAN_10,"X(m)");
//Text KHz
glColor3f(0,0,0);
glRasterPos2f(FS/1000+1,0.1);
Texto(GLUT_BITMAP_TIMES_ROMAN_10,"KHz");
for(int i=0; i<N; i++){
glColor3f(0,0,0);
glPointSize(2.5);
x = (i*FS/N);
x = x/1000;
glBegin(GL_LINES);
glVertex2f(x,0);
glVertex2f(x,imag[i]);
glEnd();
glBegin(GL_POINTS);
glVertex2f(x,imag[i]);
glEnd();
//y values
glColor3f(0,0,0);
glRasterPos2f(-.7,imag[i]);
sprintf(buffer,"%.10g", imag[i] );
sprintf(valor,buffer);
Texto(GLUT_BITMAP_TIMES_ROMAN_10,valor);
//x values
glColor3f(0,0,0);
if(imag[i]>=0){
glRasterPos2f(x,-0.5);
}
else{
glRasterPos2f(x,0.5);
}
sprintf(buffer,"%.10g", x);
sprintf(valor,buffer);
Texto(GLUT_BITMAP_TIMES_ROMAN_10,valor);
glFlush();
}
}
void DesenhaMag(){
double maior, mag[N], x;
char* buffer = new char[30];
char valor[30];
ifstream ler;
ler.open("XmMag.txt");
for(int m = 0; m<N; m++){
ler >> mag[m];
//cout << mag[m] << endl;
if(m!=0){
if(mag[m]>mag[m-1]){
maior = mag[m];
}
}
}
ler.close();
glClear(GL_COLOR_BUFFER_BIT);
glMatrixMode(GL_PROJECTION);
glLoadIdentity();
gluOrtho2D(-1,FS/1000+2,-(maior+1.2),maior+1.2);
glMatrixMode(GL_MODELVIEW);
glLoadIdentity();
glColor3f(0.5,0.5,0.5);
//X e Y
glBegin(GL_LINES);
glVertex2f(0,0);
glVertex2f(FS/1000+1,0);
glVertex2f(0,-(maior+0.7));
glVertex2f(0,maior+0.7);
glEnd();
//Arrow at x and y
glBegin(GL_TRIANGLES);
//Flecha em x
glVertex2f(FS/1000+1,0.05);
glVertex2f(FS/1000+1.05,0);
glVertex2f(FS/1000+1,-0.05);
glEnd();
glBegin(GL_TRIANGLES);
//Arrow at y
glVertex2f(-0.05,maior+0.7);
glVertex2f(0,maior+0.75);
glVertex2f(0.05,maior+0.7);
glEnd();
//Text X(m)
glColor3f(0,0,0);
glRasterPos2f(0.1,maior+0.7);
Texto(GLUT_BITMAP_TIMES_ROMAN_10,"X(m)");
//Text KHz
glColor3f(0,0,0);
glRasterPos2f(FS/1000+1,0.1);
Texto(GLUT_BITMAP_TIMES_ROMAN_10,"KHz");
for(int i=0; i<N; i++){
glColor3f(0,0,0);
glPointSize(2.5);
x = (i*FS/N);
x = x/1000;
glBegin(GL_LINES);
glVertex2f(x,0);
glVertex2f(x,mag[i]);
glEnd();
glBegin(GL_POINTS);
glVertex2f(x,mag[i]);
glEnd();
//y values
glColor3f(0,0,0);
glRasterPos2f(-.7,mag[i]);
sprintf(buffer,"%.10g", mag[i]);
sprintf(valor,buffer);
Texto(GLUT_BITMAP_TIMES_ROMAN_10,valor);
//x values
glColor3f(0,0,0);
if(mag[i]>=0){
glRasterPos2f(x,-0.5);
}
else{
glRasterPos2f(x,0.5);
}
sprintf(buffer,"%.10g", x);
sprintf(valor,buffer);
Texto(GLUT_BITMAP_TIMES_ROMAN_10,valor);
glFlush();
}
}
void DesenhaFase(){
double maior, fase[N], x;
char* buffer = new char[30];
char valor[30];
ifstream ler;
ler.open("XmFase.txt");
for(int m = 0; m<N; m++){
ler >> fase[m];
//cout << fase[m] << endl;
if(m!=0){
if(fase[m]>fase[m-1]){
maior = fase[m];
}
}
}
ler.close();
glClear(GL_COLOR_BUFFER_BIT);
glMatrixMode(GL_PROJECTION);
glLoadIdentity();
gluOrtho2D(-1,FS/1000+2,-(maior+5),maior+5);
glMatrixMode(GL_MODELVIEW);
glLoadIdentity();
glColor3f(0.5,0.5,0.5);
//X e Y
glBegin(GL_LINES);
glVertex2f(0,0);
glVertex2f(FS/1000+1,0);
glVertex2f(0,-(maior+0.7));
glVertex2f(0,maior+0.7);
glEnd();
//Arrow at x and y
glBegin(GL_TRIANGLES);
//Arrow at x
glVertex2f(FS/1000+1,0.05);
glVertex2f(FS/1000+1.05,0);
glVertex2f(FS/1000+1,-0.05);
glEnd();
glBegin(GL_TRIANGLES);
//Arrow at y
glVertex2f(-0.07,maior+0.7);
glVertex2f(0,maior+0.75);
glVertex2f(0.07,maior+0.7);
glEnd();
//Text= X(m)
glColor3f(0,0,0);
glRasterPos2f(0.1,maior+0.7);
Texto(GLUT_BITMAP_TIMES_ROMAN_10,"X(m)");
//Text KHz
glColor3f(0,0,0);
glRasterPos2f(FS/1000+1,0.1);
Texto(GLUT_BITMAP_TIMES_ROMAN_10,"KHz");
for(int i=0; i<N; i++){
glColor3f(0,0,0); // Cor da linha
glPointSize(2.5); //Tamanho do ponto
x = (i*FS/N); //Resposta em Hz
x = x/1000; //Transformar em KHz
glBegin(GL_LINES);
glVertex2f(x,0);
glVertex2f(x,fase[i]);
glEnd();
glBegin(GL_POINTS);
glVertex2f(x,fase[i]);
glEnd();
//y values
glColor3f(0,0,0);
glRasterPos2f(-.7,fase[i]);
sprintf(buffer,"%.10g", fase[i]);
sprintf(valor,buffer);
Texto(GLUT_BITMAP_TIMES_ROMAN_10,valor);
//x values
glColor3f(0,0,0);
if(fase[i]>=0){
glRasterPos2f(x,-1.5);
}
else{
glRasterPos2f(x,1.5);
}
sprintf(buffer,"%.10g", x);
sprintf(valor,buffer);
Texto(GLUT_BITMAP_TIMES_ROMAN_10,valor);
glFlush();
}
}
void Calcula(){
ofstream gravarXn, gravarXmReal, gravarXmImag, gravarXmMag, gravarXmFase;
double xn = 0, ts = (double) 1/FS, real = 0, imag = 0;
gravarXn.open("xn.txt");
gravarXmReal.open("XmReal.txt");
gravarXmImag.open("XmImag.txt");
gravarXmMag.open("XmMag.txt");
gravarXmFase.open("XmFase.txt");
for (int m = 0; m < N; m++){
for (int n = 0; n < N; n++){
xn = sin(2*M_PI*1000*n*ts) + 0.5*sin(2*M_PI*2000*n*ts+3*M_PI/4);
real = real + xn*cos(2*M_PI*n*m/N);
imag = imag - xn*sin(2*M_PI*n*m/N);
//cout << "x(" << n << ") = " << xn << endl;
if(m == 0){
gravarXn << xn << endl;
}
}
real = real * 10000;
real = (int)real;
real = real / 10000;
imag = imag * 10000;
imag = (int)imag;
imag = imag / 10000;
complex<double> ret (real,imag);
//cout << "X(" << m << ") = " << real << " + j" << imag << " = ";
gravarXmReal << real << endl;
gravarXmImag << imag << endl;
//cout << round(abs(ret)) << " |" << arg(ret)*180/M_PI << endl;
gravarXmMag << round(abs(ret))<< endl;
gravarXmFase << arg(ret)*180/M_PI << endl;
real = 0;
imag = 0;
}
gravarXn.close();
gravarXmReal.close();
gravarXmImag.close();
gravarXmMag.close();
gravarXmFase.close();
}
int main(void){
Calcula();
//Retangular - Real
glutInitDisplayMode(GLUT_SINGLE | GLUT_RGB);
glutInitWindowSize(800,400);
glutInitWindowPosition(0,0);
glutCreateWindow("DFT - OpenGL - Retangular (Real)");
glutDisplayFunc(DesenhaReal);
glClearColor(1,1,1,0);
//Retangular - Image
glutInitDisplayMode(GLUT_SINGLE | GLUT_RGB);
glutInitWindowSize(800,400);
glutInitWindowPosition(500,0);
glutCreateWindow("DFT - OpenGL - Retangular (Imagem)");
glutDisplayFunc(DesenhaImag);
glClearColor(1,1,1,0);
//Polar - Magnitude
glutInitDisplayMode(GLUT_SINGLE | GLUT_RGB);
glutInitWindowSize(800,400);
glutInitWindowPosition(0,384);
glutCreateWindow("DFT - OpenGL - Polar (Magnitude)");
glutDisplayFunc(DesenhaMag);
glClearColor(1,1,1,0);
//Polar - Phase
glutInitDisplayMode(GLUT_SINGLE | GLUT_RGB);
glutInitWindowSize(800,400);
glutInitWindowPosition(500,384);
glutCreateWindow("DFT - OpenGL - Polar (Fase)");
glutDisplayFunc(DesenhaFase);
glClearColor(1,1,1,0);
glutMainLoop();
return 0;
}