MRTriMath.h File Reference

#include "MRVector3.h"
#include <algorithm>
#include <cmath>
#include <limits>
#include <optional>

Go to the source code of this file.

Namespaces
namespace	MR

Functions
template<typename T >
T	MR::circumcircleDiameterSq (const Vector3< T > &a, const Vector3< T > &b, const Vector3< T > &c)
template<typename T >
T	MR::circumcircleDiameter (const Vector3< T > &a, const Vector3< T > &b, const Vector3< T > &c)
template<typename T >
Vector3< T >	MR::circumcircleCenter (const Vector3< T > &a, const Vector3< T > &b)
	Computes the center of the the triangle's 0AB circumcircle.
template<typename T >
Vector3< T >	MR::circumcircleCenter (const Vector3< T > &a, const Vector3< T > &b, const Vector3< T > &c)
	Computes the center of the the triangle's ABC circumcircle.
template<typename T >
bool	MR::circumballCenters (const Vector3< T > &a, const Vector3< T > &b, const Vector3< T > &c, T radius, Vector3< T > &centerPos, Vector3< T > &centerNeg)
template<typename T >
T	MR::minTriangleAngleSin (const Vector3< T > &a, const Vector3< T > &b, const Vector3< T > &c)
template<typename T >
T	MR::minTriangleAngle (const Vector3< T > &a, const Vector3< T > &b, const Vector3< T > &c)
template<typename T >
T	MR::triangleAspectRatio (const Vector3< T > &a, const Vector3< T > &b, const Vector3< T > &c)
template<typename T >
Vector3< T >	MR::dirDblArea (const Triangle3< T > &t)
	computes directed double area of given triangle
template<typename T >
Vector3< T >	MR::dirDblArea (const Vector3< T > &p, const Vector3< T > &q, const Vector3< T > &r)
	computes directed double area of given triangle
template<typename T >
Vector3< T >	MR::normal (const Vector3< T > &p, const Vector3< T > &q, const Vector3< T > &r)
	computes unitNormal of given triangle
template<typename T >
T	MR::dblAreaSq (const Vector3< T > &p, const Vector3< T > &q, const Vector3< T > &r)
	computes the square of double area of given triangle
template<typename T >
T	MR::dblArea (const Vector3< T > &p, const Vector3< T > &q, const Vector3< T > &r)
	computes twice the area of given triangle
template<typename T >
T	MR::area (const Vector3< T > &p, const Vector3< T > &q, const Vector3< T > &r)
	computes twice the area of given triangle
template<typename T >
T	MR::dblArea (const Vector2< T > &p, const Vector2< T > &q, const Vector2< T > &r)
	computes twice the area of given triangle
template<typename T >
T	MR::area (const Vector2< T > &p, const Vector2< T > &q, const Vector2< T > &r)
	computes twice the area of given triangle
template<typename T >
Triangle3< T >	MR::makeDegenerate (const Triangle3< T > &t)
	make degenerate triangle (all 3 points on a line) that maximally resembles the input one and has the same centroid
template<typename T >
Triangle3< T >	MR::triangleWithNormal (const Triangle3< T > &t, const Vector3< T > &n)
template<typename T >
T	MR::dihedralAngleSin (const Vector3< T > &leftNorm, const Vector3< T > &rightNorm, const Vector3< T > &edgeVec)
template<typename T >
T	MR::dihedralAngleCos (const Vector3< T > &leftNorm, const Vector3< T > &rightNorm)
template<typename T >
T	MR::dihedralAngle (const Vector3< T > &leftNorm, const Vector3< T > &rightNorm, const Vector3< T > &edgeVec)
template<typename T >
std::optional< Vector2< T > >	MR::posFromTriEdgeLengths (T a, T b, T c)
template<typename T >
std::optional< T >	MR::quadrangleOtherDiagonal (T a, T b, T c, T a1, T b1)