#include <cmath>
#include <iostream>

Classes
struct	Matrix3D

struct	Vector3D

Functions
static Vector3D	abs (const Vector3D &other)

bool	operator< (const Vector3D &a, float scalar)

float	Dot (const Vector3D &a, const Vector3D &b)

Vector3D	operator* (const Vector3D &v, float s)

Vector3D	operator* (const Vector3D &v, const Vector3D &s)

Vector3D	operator/ (const Vector3D &v, float s)

Vector3D	operator- (const Vector3D &v)

float	Magnitude (const Vector3D &v)

Vector3D	operator+ (const Vector3D &a, const Vector3D &b)

Vector3D	operator- (const Vector3D &a, const Vector3D &b)

Vector3D	Project (const Vector3D &a, const Vector3D &b)

Vector3D	Normalize (const Vector3D &v)

Vector3D	CrossProduct (const Vector3D &a, const Vector3D &b)

Matrix3D	operator* (const Matrix3D &A, const Matrix3D &B)

Vector3D	operator* (const Matrix3D &M, const Vector3D &v)

std::ostream &	operator<< (std::ostream &os, const Vector3D &v)

std::ostream &	operator<< (std::ostream &os, const Matrix3D &m)

Function Documentation

static Vector3D abs ( const Vector3D & other )

static

Returns the absolute value of the given vector.

Parameters

other the given

Vector3D CrossProduct	(	const Vector3D &	a,
		const Vector3D &	b
	)

inline

a x b Produces a new vector perpendicular to a and b. (So long as a and b are not parallel which returns zero vector)

Parameters

a	vector1
b	vector2

float Dot	(	const Vector3D &	a,
		const Vector3D &	b
	)

inline

Compute the dot product of two Vector3D

Parameters

a	vector1
b	vector2

float Magnitude ( const Vector3D & v )

inline

Return the magnitude of a vector

Parameters

v	the vector

Vector3D Normalize ( const Vector3D & v )

inline

Set a vectors magnitude to 1 Note: This is NOT generating a normal vector

Parameters

v vector1

Matrix3D operator*	(	const Matrix3D &	A,
		const Matrix3D &	B
	)

inline

Matrix Multiplication

Parameters

A	matrix1
B	matrix2

Vector3D operator*	(	const Matrix3D &	M,
		const Vector3D &	v
	)

inline

Matrix multiply by a vector

Parameters

M	matrix1
v	vector1

Vector3D operator*	(	const Vector3D &	v,
		const Vector3D &	s
	)

inline

Multiplication of a vector by a vector storing scalar values. Allows for element-wise multiplication.

Parameters

v	vector1
s	the scalar vector

Vector3D operator*	(	const Vector3D &	v,
		float	s
	)

inline

Multiplication of a vector by a scalar values

Parameters

v	the vector
s	the scalar

Vector3D operator+	(	const Vector3D &	a,
		const Vector3D &	b
	)

inline

Add two vectors together

Parameters

a	vector1
b	vector2

Vector3D operator-	(	const Vector3D &	a,
		const Vector3D &	b
	)

inline

Subtract two vectors, component-wise.

Parameters

a	vector1
b	vector2

a - b

Vector3D operator- ( const Vector3D & v )

inline

Negation of a vector Use Case: Sometimes it is handy to apply a force in an opposite direction

Parameters

v	the vector to negate

Vector3D operator/	(	const Vector3D &	v,
		float	s
	)

inline

Division of a vector by a scalar value.

Parameters

v	the vector
s	scalar value

bool operator<	(	const Vector3D &	a,
		float	scalar
	)

inline

Checks if a given vectors components are all less than a scalar value. A more useful way to use this function may be to take the absolute value of the vector first.

Parameters

a	the given
scalar	the comparable scalar

std::ostream& operator<<	(	std::ostream &	os,
		const Matrix3D &	m
	)

inline

Print a matrix to the given stream.

Parameters

os	the stream
m	the matrix

std::ostream& operator<<	(	std::ostream &	os,
		const Vector3D &	v
	)

inline

Print a vector to the given stream.

Parameters

os	the stream
v	the vector

Vector3D Project	(	const Vector3D &	a,
		const Vector3D &	b
	)

inline

Vector Projection projects b onto a: proj_a_(b)

Parameters

a	vector1
b	vector2

Classes

Functions

Function Documentation