Geometrical calculations. More...

#include <vector>
#include <boost/array.hpp>
#include "../misc/serializable.hpp"

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Classes
class	Vector2D
	2D Mathematical vector More...

Functions
double	abs (Vector2D const &v)
	Norm of a vector. More...

double	fastabs (Vector2D const &v)
	Norm of a vector, less accurate. More...

Vector2D	operator+ (Vector2D const &v1, Vector2D const &v2)
	Term by term addition. More...

Vector2D	operator- (Vector2D const &v1, Vector2D const &v2)
	Term by term subtraction. More...

Vector2D	operator* (double d, Vector2D const &v)
	Scalar product. More...

Vector2D	operator* (Vector2D const &v, double d)
	Scalar product. More...

Vector2D	operator/ (Vector2D const &v, double d)
	Scalar division. More...

double	ScalarProd (Vector2D const &v1, Vector2D const &v2)
	Scalar product of two vectors. More...

double	CalcAngle (Vector2D const &v1, Vector2D const &v2)
	Returns the angle between two vectors (in radians) More...

double	Projection (Vector2D const &v1, Vector2D const &v2)
	Calculates the projection of one vector in the direction of the second. More...

Vector2D	Rotate (Vector2D const &v, double a)
	Rotates a vector. More...

Vector2D	Reflect (Vector2D const &v, Vector2D const &axis)
	Reflect vector. More...

double	distance (Vector2D const &v1, Vector2D const &v2)
	Calculates the distance between two vectors. More...

double	CrossProduct (Vector2D const &v1, Vector2D const &v2)
	Returns the z component of the cross product of two vectors. More...

Vector2D	calc_mid_point (Vector2D const &v1, Vector2D const &v2)
	Calculates the mid point between two vectors. More...

Vector2D	zcross (Vector2D const &v)
	Cross product of a vector in x,y plane with a unit vector in the z direction. More...

Vector2D	pol2cart (double radius, double angle)
	Converts from polar coordinates to cartesian coordinates. More...

Vector2D	normalize (const Vector2D &v)
	Normalized a vector. More...

double	dist_sqr (const Vector2D &v)
	Calculates the square of the distance. This is computationaly cheaper then actually calculating the distance. More...

Detailed Description

Geometrical calculations.

Author: Almog Yalinewich

Definition in file geometry.hpp.

Function Documentation

◆ abs()

double abs ( Vector2D const & v )

Norm of a vector.

Parameters

v	Two dimensional vector

Returns: Norm of v

Definition at line 19 of file geometry.cpp.

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◆ calc_mid_point()

Vector2D calc_mid_point	(	Vector2D const &	v1,
		Vector2D const &	v2
	)

Calculates the mid point between two vectors.

Parameters

v1	First vector
v2	Second vector

Returns: Distance between v1 and v2

Definition at line 140 of file geometry.cpp.

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◆ CalcAngle()

double CalcAngle	(	Vector2D const &	v1,
		Vector2D const &	v2
	)

Returns the angle between two vectors (in radians)

Parameters

v1	First vector
v2	Second vector

Returns: Angle

Definition at line 119 of file geometry.cpp.

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◆ CrossProduct()

double CrossProduct	(	Vector2D const &	v1,
		Vector2D const &	v2
	)

Returns the z component of the cross product of two vectors.

Parameters

v1	First vector
v2	Second vector

Returns: z component of the cross product between v1 and v2

Definition at line 134 of file geometry.cpp.

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◆ dist_sqr()

double dist_sqr ( const Vector2D & v )

Calculates the square of the distance. This is computationaly cheaper then actually calculating the distance.

Parameters

v Vector

Returns: Square of the distance

Definition at line 163 of file geometry.cpp.

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◆ distance()

double distance	(	Vector2D const &	v1,
		Vector2D const &	v2
	)

Calculates the distance between two vectors.

Parameters

v1	First vector
v2	Second vector

Returns: distance between v1 and v2

Definition at line 129 of file geometry.cpp.

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◆ fastabs()

double fastabs ( Vector2D const & v )

Norm of a vector, less accurate.

Parameters

v	Two dimensional vector

Returns: Norm of v

Definition at line 24 of file geometry.cpp.

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◆ normalize()

Vector2D normalize ( const Vector2D & v )

Normalized a vector.

Parameters

v	Original vector

Returns: Vector divided by its norm

Definition at line 158 of file geometry.cpp.

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◆ operator*() [1/2]

Vector2D operator*	(	double	d,
		Vector2D const &	v
	)

Scalar product.

Parameters

d	Scalar
v	Vector

Returns: Two dimensional vector

Definition at line 92 of file geometry.cpp.

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◆ operator*() [2/2]

Vector2D operator*	(	Vector2D const &	v,
		double	d
	)

Scalar product.

Parameters

v	Vector
d	Scalar

Returns: Two dimensional vector

Definition at line 97 of file geometry.cpp.

◆ operator+()

Vector2D operator+	(	Vector2D const &	v1,
		Vector2D const &	v2
	)

Term by term addition.

Parameters

v1	First vector
v2	Second vector

Returns: Sum

Definition at line 81 of file geometry.cpp.

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◆ operator-()

Vector2D operator-	(	Vector2D const &	v1,
		Vector2D const &	v2
	)

Term by term subtraction.

Parameters

v1	First vector
v2	Second vector

Returns: Difference

Definition at line 86 of file geometry.cpp.

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◆ operator/()

Vector2D operator/	(	Vector2D const &	v,
		double	d
	)

Scalar division.

Parameters

v	Vector
d	Scalar

Returns: Two dimensional vector

Definition at line 102 of file geometry.cpp.

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◆ pol2cart()

Vector2D pol2cart	(	double	radius,
		double	angle
	)

Converts from polar coordinates to cartesian coordinates.

Parameters

radius	Radius
angle	Angle relative to the x axis

Returns: Same vector in cartesian coordiantes

Definition at line 150 of file geometry.cpp.

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◆ Projection()

double Projection	(	Vector2D const &	v1,
		Vector2D const &	v2
	)

Calculates the projection of one vector in the direction of the second.

Parameters

v1	First vector
v2	Direction of the projection

Returns: Component of v1 in the direction of v2

Definition at line 114 of file geometry.cpp.

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◆ Reflect()

Vector2D Reflect	(	Vector2D const &	v,
		Vector2D const &	axis
	)

Reflect vector.

Parameters

v	Vector
axis	Axis of reflection

Returns: Reflection of v about axis

Definition at line 124 of file geometry.cpp.

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◆ Rotate()

Vector2D Rotate	(	Vector2D const &	v,
		double	a
	)

Rotates a vector.

Parameters

v	Vector
a	Angle

Returns: Rotated vector

Definition at line 7 of file geometry.cpp.

◆ ScalarProd()

double ScalarProd	(	Vector2D const &	v1,
		Vector2D const &	v2
	)

Scalar product of two vectors.

Parameters

v1	2D vector
v2	2D vector

Returns: Scalar product of v1 and v2

Definition at line 107 of file geometry.cpp.

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◆ zcross()

Vector2D zcross ( Vector2D const & v )

Cross product of a vector in x,y plane with a unit vector in the z direction.

Parameters

v	Vector in the x,y plane

Returns: Two dimensional vector

Definition at line 145 of file geometry.cpp.

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Classes

Functions

Detailed Description

Function Documentation

◆ abs()

◆ calc_mid_point()

◆ CalcAngle()

◆ CrossProduct()

◆ dist_sqr()

◆ distance()

◆ fastabs()

◆ normalize()

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator+()

◆ operator-()

◆ operator/()

◆ pol2cart()

◆ Projection()

◆ Reflect()

◆ Rotate()

◆ ScalarProd()

◆ zcross()