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Figure8KleinBottle.cpp
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Figure8KleinBottle.cpp
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#include "Figure8KleinBottle.h"
#include "Point.h"
#include <glm/gtc/constants.hpp>
#include <glm/vec3.hpp>
#include <glm/glm.hpp>
Figure8KleinBottle::Figure8KleinBottle(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("Figure 8 Klein Bottle");
buildMesh();
}
Figure8KleinBottle::~Figure8KleinBottle()
{
}
TriangleMesh* Figure8KleinBottle::clone()
{
return new Figure8KleinBottle(_prog, _radius, _slices, _stacks, _sMax, _tMax);
}
float Figure8KleinBottle::firstUParameter() const
{
return 0.0;
}
float Figure8KleinBottle::lastUParameter() const
{
return glm::two_pi<float>();
}
float Figure8KleinBottle::firstVParameter() const
{
return 0.0;
}
float Figure8KleinBottle::lastVParameter() const
{
return glm::two_pi<float>();
}
Point Figure8KleinBottle::pointAtParameter(const float& u, const float& v)
{
Point P;
float x, y, z;
//http://paulbourke.net/geometry/toroidal/
// Figure-8 Klein bottle
// Where u = 0 - 2PI and v = 0 - 2PI
x = _radius * (2 + cos(v / 2) * sin(u) - sin(v / 2) * sin(2 * u)) * cos(v);
y = _radius * (2 + cos(v / 2) * sin(u) - sin(v / 2) * sin(2 * u)) * sin(v);
z = _radius * (sin(v / 2) * sin(u) + cos(v / 2) * sin(2 * u));
P.setParam(x, y, z);
return P;
}