3D Geometrical calculations More...

#include <vector>
#include <cmath>

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Classes
class	Vector3D
	3D Mathematical vector More...

Functions
double	abs (Vector3D const &v)
	Norm of a vector. More...

Vector3D	operator+ (Vector3D const &v1, Vector3D const &v2)
	Term by term addition. More...

Vector3D	operator- (Vector3D const &v1, Vector3D const &v2)
	Term by term subtraction. More...

Vector3D	operator* (double d, Vector3D const &v)
	Scalar product. More...

Vector3D	operator* (Vector3D const &v, double d)
	Scalar product. More...

Vector3D	operator/ (Vector3D const &v, double d)
	Scalar division. More...

double	ScalarProd (Vector3D const &v1, Vector3D const &v2)
	Scalar product of two vectors. More...

double	CalcAngle (Vector3D const &v1, Vector3D const &v2)
	Returns the angle between two vectors (in radians) More...

double	Projection (Vector3D const &v1, Vector3D const &v2)
	Calculates the projection of one vector in the direction of the second. More...

Vector3D	RotateX (Vector3D const &v, double a)
	Rotates a 3D-vector around the X axis. More...

Vector3D	RotateY (Vector3D const &v, double a)
	Rotates a 3D-vector around the Y axis. More...

Vector3D	RotateZ (Vector3D const &v, double a)
	Rotates a 3D-vector around the Z axis. More...

Vector3D	Reflect (Vector3D const &v, Vector3D const &normal)
	Reflect vector. More...

double	distance (Vector3D const &v1, Vector3D const &v2)
	Calculates the distance between two vectors. More...

Vector3D	CrossProduct (Vector3D const &v1, Vector3D const &v2)
	Returns the cross product of two vectors. More...

void	Split (vector< Vector3D > const &vIn, vector< double > &vX, vector< double > &vY, vector< double > &vZ)
	Splits a vector of 3D points to components. More...

Detailed Description

3D Geometrical calculations

Author: Itai Linial

Definition in file Vector3D.hpp.

Function Documentation

◆ abs()

double abs ( Vector3D const & v )

Norm of a vector.

Parameters

v	Three dimensional vector

Returns: Norm of v

Definition at line 44 of file Vector3D.cpp.

◆ CalcAngle()

double CalcAngle	(	Vector3D const &	v1,
		Vector3D const &	v2
	)

Returns the angle between two vectors (in radians)

Parameters

v1	First vector
v2	Second vector

Returns: Angle (radians)

Definition at line 198 of file Vector3D.cpp.

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◆ CrossProduct()

Vector3D CrossProduct	(	Vector3D const &	v1,
		Vector3D const &	v2
	)

Returns the cross product of two vectors.

Parameters

v1	First vector
v2	Second vector

Returns: Cross product between v1 and v2

Definition at line 213 of file Vector3D.cpp.

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◆ distance()

double distance	(	Vector3D const &	v1,
		Vector3D const &	v2
	)

Calculates the distance between two vectors.

Parameters

v1	First vector
v2	Second vector

Returns: distance between v1 and v2

Definition at line 208 of file Vector3D.cpp.

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◆ operator*() [1/2]

Vector3D operator*	(	double	d,
		Vector3D const &	v
	)

Scalar product.

Parameters

d	Scalar
v	Vector

Returns: Three dimensional vector

Definition at line 162 of file Vector3D.cpp.

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◆ operator*() [2/2]

Vector3D operator*	(	Vector3D const &	v,
		double	d
	)

Scalar product.

Parameters

v	Vector
d	Scalar

Returns: Three dimensional vector

Definition at line 171 of file Vector3D.cpp.

◆ operator+()

Vector3D operator+	(	Vector3D const &	v1,
		Vector3D const &	v2
	)

Term by term addition.

Parameters

v1	First vector
v2	Second vector

Returns: Sum

Definition at line 143 of file Vector3D.cpp.

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◆ operator-()

Vector3D operator-	(	Vector3D const &	v1,
		Vector3D const &	v2
	)

Term by term subtraction.

Parameters

v1	First vector
v2	Second vector

Returns: Difference

Definition at line 152 of file Vector3D.cpp.

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◆ operator/()

Vector3D operator/	(	Vector3D const &	v,
		double	d
	)

Scalar division.

Parameters

v	Vector
d	Scalar

Returns: Three dimensional vector

Definition at line 176 of file Vector3D.cpp.

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◆ Projection()

double Projection	(	Vector3D const &	v1,
		Vector3D 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 193 of file Vector3D.cpp.

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◆ Reflect()

Vector3D Reflect	(	Vector3D const &	v,
		Vector3D const &	normal
	)

Reflect vector.

Parameters

v	Vector
normal	Normal to the reflection plane

Returns: Reflection of v about axis

Definition at line 203 of file Vector3D.cpp.

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◆ RotateX()

Vector3D RotateX	(	Vector3D const &	v,
		double	a
	)

Rotates a 3D-vector around the X axis.

Parameters

v	Vector
a	(in radians)

Returns: Rotated vector

Definition at line 17 of file Vector3D.cpp.

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◆ RotateY()

Vector3D RotateY	(	Vector3D const &	v,
		double	a
	)

Rotates a 3D-vector around the Y axis.

Parameters

v	Vector
a	(in radians)

Returns: Rotated vector

Definition at line 26 of file Vector3D.cpp.

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◆ RotateZ()

Vector3D RotateZ	(	Vector3D const &	v,
		double	a
	)

Rotates a 3D-vector around the Z axis.

Parameters

v	Vector
a	(in radians)

Returns: Rotated vector

Definition at line 35 of file Vector3D.cpp.

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◆ ScalarProd()

double ScalarProd	(	Vector3D const &	v1,
		Vector3D const &	v2
	)

Scalar product of two vectors.

Parameters

v1	3D vector
v2	3D vector

Returns: Scalar product of v1 and v2

Definition at line 185 of file Vector3D.cpp.

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◆ Split()

void Split	(	vector< Vector3D > const &	vIn,
		vector< double > &	vX,
		vector< double > &	vY,
		vector< double > &	vZ
	)

Splits a vector of 3D points to components.

Parameters

vIn	Input vector of 3D points
vX	Vector of x coordinates (out)
vY	Vector of y coordinates (out)
vZ	Vector of z coordinates (out)

Definition at line 222 of file Vector3D.cpp.

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Classes

Functions

Detailed Description

Function Documentation

◆ abs()

◆ CalcAngle()

◆ CrossProduct()

◆ distance()

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator+()

◆ operator-()

◆ operator/()

◆ Projection()

◆ Reflect()

◆ RotateX()

◆ RotateY()

◆ RotateZ()

◆ ScalarProd()

◆ Split()