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Folium.cpp
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Folium.cpp
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#include "Folium.h"
#include "Point.h"
#include <glm/gtc/constants.hpp>
#include <glm/vec3.hpp>
#include <glm/glm.hpp>
Folium::Folium(QOpenGLShaderProgram* prog, float radius, unsigned int nSlices, unsigned int nStacks, unsigned int sMax, unsigned int tMax) :
ParametricSurface(prog, nSlices, nStacks, sMax, tMax),
_radius(radius)
{
setAutoIncrName("Folium");
buildMesh();
}
Folium::~Folium()
{
}
TriangleMesh* Folium::clone()
{
return new Folium(_prog, _radius, _slices, _stacks, _sMax, _tMax);
}
float Folium::firstUParameter() const
{
return -glm::pi<float>();
}
float Folium::lastUParameter() const
{
return glm::pi<float>();
}
float Folium::firstVParameter() const
{
return -glm::pi<float>();
}
float Folium::lastVParameter() const
{
return glm::pi<float>();
}
Point Folium::pointAtParameter(const float& u, const float& v)
{
Point P;
float x, y, z;
// Folium
// Where -pi <= u <= pi -pi <= v <= pi
x = _radius * (cos(u) * (2 * v / glm::pi<float>() - tanh(v)));
y = _radius * (cos(u + 2 * glm::pi<float>() / 3) / cosh(v));
z = _radius * (cos(u - 2 * glm::pi<float>() / 3) / cosh(v));
P.setParam(x, y, z);
return P;
}