Primitivas Gráficas - Algoritmo de la Ecuación General para Circunferencias
Pre-requisitos:
Instalar OpenGL en Linux (si usas linux)
Instalar OpenGL en Windows (si usas windows)
Inicializar OpenGL en C++
Ecuación General de la circunferencia
$${({x}-{x}_{c})}^{2}+{({y}-{y}_{c})}^{2}={r}^{2}$$
despejando "y" :
$$y=y_c±\sqrt { r^2−(xc−x)^2}$$
$$y=y_c±\sqrt { r^2−(xc−x)^2}$$
Algoritmo
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| void circuGeneral(GLint xc, GLint yc, GLint r){ | |
| int x; | |
| double y1,y2; | |
| for(x=xc-r;x<=xc+r ;x+=1){ | |
| y1=yc+sqrt(r*r-((x-xc)*(x-xc))); | |
| cout<<"y: "<<y1<<"\t"; | |
| y2=yc-sqrt(r*r-((x-xc)*(x-xc))); | |
| pintarPixel(x,roundf(y1)); | |
| pintarPixel(x,roundf(y2)); | |
| } | |
| } |
Ejemplo
-Dibujar Circunferencia de centro (2,4) y radio 7$$x_c=2, y_c=4, r=7 $$
usando
$$y=y_c+\sqrt { r^2−(xc−x)^2}$$
$$y=y_c-\sqrt { r^2−(xc−x)^2}$$
ver código completo aqui
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