BentHorns.cpp

#include "BentHorns.h"
#include "Point.h"

#include <glm/gtc/constants.hpp>
#include <glm/vec3.hpp>
#include <glm/glm.hpp>


BentHorns::BentHorns(QOpenGLShaderProgram* prog, GLfloat radius, GLuint nSlices, GLuint nStacks) :
	ParametricSurface(prog, nSlices, nStacks), 
	_radius(radius)
{
	_name = "Bent Horns";
	buildMesh(nSlices, nStacks);
}


BentHorns::~BentHorns()
{
}

float BentHorns::firstUParameter() const
{
	return -glm::pi<float>();
}

float BentHorns::lastUParameter() const
{
	return glm::pi<float>();
}

float BentHorns::firstVParameter() const
{
	return -glm::two_pi<float>();
}

float BentHorns::lastVParameter() const
{
	return glm::two_pi<float>();
}

Point BentHorns::pointAtParameter(const float& u, const float& v)
{
	Point P;
	float x, y, z;

	//http://paulbourke.net/geometry/toroidal/
	// Bent Horns
	// Where  -pi <= u <= pi	  - 2pi <= v <= 2pi
	x = _radius * (2.0f + cos(u)) * (v / 3.0f - sin(v));
	y = _radius * (2.0f + cos(u - 2.0f * glm::pi<float>() / 3.0f)) * (cos(v) - 1.0f);
	z = _radius * (2.0f + cos(u + 2.0f * glm::pi<float>() / 3.0f)) * (cos(v) - 1.0f) + _radius * 2.0f;

	P.setParam(x, y, z);
	return P;
}