array3.h File Reference

Extending std with arithmetic for std::array<double, 3>. More...

#include "constants.h"
#include "signum.h"
#include <array>
#include <cmath>
#include <ostream>

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Functions
double	std::Angle (const std::array< double, 3 > &u, const std::array< double, 3 > &v)
	Angle between two vectors within range of [0, pi] radians.
std::array< double, 3 >	std::CrossProduct (const std::array< double, 3 > &u, const std::array< double, 3 > &v)
	Cross product with another vector.
double	std::InnerProduct (const std::array< double, 3 > &u, const std::array< double, 3 > &v)
	Inner product.
bool	std::IsSameDirection (const std::array< double, 3 > &u, const std::array< double, 3 > &v)
	Return true iff the two vectors point in the same direction.
double	std::Norm (const std::array< double, 3 > &u)
	The array's norm.
double	std::Norm2 (const std::array< double, 3 > &u)
	The array's norm squared.
std::array< double, 3 >	std::Normalize (const std::array< double, 3 > &u)
	Normalized copy.
std::array< double, 3 >	std::operator* (const std::array< double, 3 > &u, double m)
	Multiplication scalar * array.
std::array< double, 3 >	std::operator* (double m, const std::array< double, 3 > &v)
	Multiplication array * scalar.
std::array< double, 3 > &	std::operator*= (std::array< double, 3 > &u, double m)
	Unary multiplication by scalar.
std::array< double, 3 >	std::operator+ (const std::array< double, 3 > &u, const std::array< double, 3 > &v)
	Binary addition.
std::array< double, 3 > &	std::operator+= (std::array< double, 3 > &u, const std::array< double, 3 > &v)
	Unary addition.
std::array< double, 3 >	std::operator- (const std::array< double, 3 > &u, const std::array< double, 3 > &v)
	Binary subtraction.
std::array< double, 3 > &	std::operator-= (std::array< double, 3 > &u, const std::array< double, 3 > &v)
	Unary subtraction.
std::array< double, 3 >	std::operator/ (const std::array< double, 3 > &u, double d)
	Division by a scalar.
std::array< double, 3 > &	std::operator/= (std::array< double, 3 > &u, double m)
	Unary division by scalar.
std::ostream &	std::operator<< (std::ostream &os, const std::array< double, 3 > &v)
	ostream insertion.
std::array< double, 3 >	std::Orthogonalize (const std::array< double, 3 > &u)
	Perpendicular vector in 2D (in x,y i.e. 0,1 plane)
double	std::SignedAngle (const std::array< double, 3 > &u, const std::array< double, 3 > &v)
	Signed angle between two vectors (within range of [-pi,pi] radians).

Detailed Description

Extending std with arithmetic for std::array<double, 3>.

Extending std to make functions available through namespace name (Koenig) lookup.

Definition in file array3.h.