Point.h File Reference

Define functions to treat a FixedArray as a point or vector. More...

#include "../defs.h"
#include "../../ads/array/FixedArray.h"
#include "Point.ipp"
#include <cassert>
#include <cmath>

Go to the source code of this file.

Functions
template<int N, typename T >
T	computeDotProduct (const ads::FixedArray< N, T > &x, const ads::FixedArray< N, T > &y)
	Return the dot product of x and y.
template<typename T >
ads::FixedArray< 3, T >	computeCrossProduct (const ads::FixedArray< 3, T > &x, const ads::FixedArray< 3, T > &y)
	Return the cross product of x and y.
template<typename T >
void	computeCrossProduct (const ads::FixedArray< 3, T > &x, const ads::FixedArray< 3, T > &y, ads::FixedArray< 3, T > *result)
	Compute the cross product of x and y.
template<typename T >
T	computeTripleProduct (const ads::FixedArray< 3, T > &a, const ads::FixedArray< 3, T > &b, const ads::FixedArray< 3, T > &c)
	The scalar triple product of three vectors: .
template<typename T >
T	computeDiscriminant (const ads::FixedArray< 2, T > &p, const ads::FixedArray< 2, T > &q)
	Return the discriminant of the vectors.
template<typename T >
void	computeAnOrthogonalVector (const ads::FixedArray< 3, T > &vector, ads::FixedArray< 3, T > *orthogonal)
	Compute an orthogonal vector.
template<int N, typename T >
T	computeSquaredMagnitude (const ads::FixedArray< N, T > &x)
	Return the squared magnitude of this vector.
template<int N, typename T >
T	computeMagnitude (const ads::FixedArray< N, T > &x)
	Return the magnitude of this vector.
template<int N, typename T >
void	normalize (ads::FixedArray< N, T > *x)
	Normalize this vector so it has unit length.
template<int N, typename T >
T	computeSquaredDistance (const ads::FixedArray< N, T > &p, const ads::FixedArray< N, T > &q)
	Return the squared distance between two points.
template<typename T >
int	computeSignOfTurn (const ads::FixedArray< 2, T > &p, const ads::FixedArray< 2, T > &q, const ads::FixedArray< 2, T > &r)
	Positive turn: return 1. No turn: return 0. Negative turn: return -1.
template<typename T >
int	computeApproximateSignOfTurn (const ads::FixedArray< 2, T > &p, const ads::FixedArray< 2, T > &q, const ads::FixedArray< 2, T > &r)
	Positive turn: return 1. No turn: return 0. Negative turn: return -1.
template<typename T >
T	computePseudoAngle (const ads::FixedArray< 2, T > &vec)
	Return the pseudo-angle between vec and the x axis.
template<int N, typename T >
T	computeAngle (const ads::FixedArray< N, T > &a, const ads::FixedArray< N, T > &b)
	Return the angle between the two vectors.
template<typename T >
void	rotatePiOver2 (ads::FixedArray< 2, T > *p)
	Rotate the vector + pi / 2.
template<typename T >
void	rotateMinusPiOver2 (ads::FixedArray< 2, T > &p)
	Rotate the vector - pi / 2.

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Detailed Description

Define functions to treat a FixedArray as a point or vector.