D:/cengiz/projects/tinymath/include/tm/tm.h File Reference

#include <iostream>
#include <cmath>
#include <cfloat>
#include <tmconfig.h>
#include <vector2.h>
#include <vector3.h>
#include <vector4.h>
#include <vectorn.h>
#include <quaternion.h>
#include <matrix2.h>
#include <matrix3.h>
#include <matrix4.h>
#include <matrix.h>

Include dependency graph for tm.h:

Functions
template<typename T>
STARTNAMESPACE std::ifstream &	operator>> (std::ifstream &in, tmath::vectorn< T, 2 > &v)
template<typename T>
std::ifstream &	operator>> (std::ifstream &in, tmath::vectorn< T, 3 > &v)
template<typename T>
std::ifstream &	operator>> (std::ifstream &in, tmath::vectorn< T, 4 > &v)
template<typename T>
std::ifstream &	operator>> (std::ifstream &in, tmath::matrix< T, 3, 3 > &m)
template<typename T>
std::ifstream &	operator>> (std::ifstream &in, tmath::quaternion< T > &q)
template<typename T>
std::ifstream &	operator>> (std::ifstream &in, tmath::matrix< T, 4, 4 > &m)
template<typename T>
const tmath::vectorn< T, 3 >	cross (const tmath::vectorn< T, 3 > &v1, const tmath::vectorn< T, 3 > &v2)
	Calculates the cross product of two vectorn<T,3>.
template<typename T>
void	cross (const tmath::vectorn< T, 3 > &v1, const tmath::vectorn< T, 3 > &v2, tmath::vectorn< T, 3 > &rv)
	Calculates the cross product of two vectorn<T,3>.
template<typename T>
quaternion< T >	conj (const quaternion< T > &q)
	conjugate the quaternion<T>
template<typename T>
quaternion< T >	inv (const quaternion< T > &q)
	invert the quaternion<T>
template<typename T>
void	identity (quaternion< T > &q)
	Make an identity quaternion<T>.
template<class T>
T	norm (const tmath::quaternion< T > &q)
	Calculates the norm of a quaternion.
template<class T>
T	len (const tmath::quaternion< T > &q)
	Calculates the length of a quaternion.
template<class T>
tmath::quaternion< T > &	normalize (tmath::quaternion< T > &q)
	Normalize the quaternion.
template<typename T>
const tmath::matrix< T, 4, 4 > &	conv (const tmath::quaternion< T > &q, tmath::matrix< T, 4, 4 > &m)
	Converts a quaternion into a matrix4x4<T>.
template<typename T>
T	norm (const vectorn< T, 2 > &v)
	Calculate the normal of a vector2.
template<typename T>
vectorn< T, 2 > &	normalize (vectorn< T, 2 > &v)
	Normalize a vector2.
template<typename T>
T	len (const vectorn< T, 2 > &v)
	Calculate the length of a vector2.
template<typename T>
void	conv (const vectorn< T, 3 > &v1, vectorn< T, 2 > &v2)
	Convert vectorn<T,3> to vector2.
template<typename T>
void	conv (const vectorn< T, 4 > &v1, vectorn< T, 2 > &v2)
	Convert vectorn to vector2.
template<typename T>
void	conv (const vectorn< T, 2 > &v1, vectorn< T, 3 > &v2)
	Convert vectorn to vector2.
template<typename T>
void	conv (const vectorn< T, 2 > &v1, vectorn< T, 4 > &v2)
	Convert vectorn to vector2.
template<typename T>
T	norm (const vectorn< T, 3 > &v)
	Calculate the normal of a vectorn<T,3>.
template<typename T>
vectorn< T, 3 > &	normalize (vectorn< T, 3 > &v)
	Normalize a vectorn<T,3>.
template<typename T>
T	len (const vectorn< T, 3 > &v)
	Calculate the length of a vectorn<T,3>.
template<typename T>
T	norm (const vectorn< T, 4 > &v)
	Calculate the normal of a vectorn.
template<typename T>
void	conv (const vectorn< T, 4 > &v1, vectorn< T, 3 > &v2)
	Convert vectorn to vectorn<T,3>.
template<typename T>
void	conv (const vectorn< T, 3 > &v1, vectorn< T, 4 > &v2)
	Convert vectorn<T,3> to vectorn.
template<typename T>
vectorn< T, 4 > &	normalize (vectorn< T, 4 > &v)
	Normalize a vectorn.
template<typename T>
T	len (const vectorn< T, 4 > &v)
	Calculate the length of a vectorn.
template<typename T, int NUM>
T	norm (const vectorn< T, NUM > &v)
	Calculate the normal of a vectorn.
template<typename T, int NUM>
const vectorn< T, NUM >	normalize (vectorn< T, NUM > &v)
	Normalize a vectorn.
template<typename T, int NUM>
T	len (const vectorn< T, NUM > &v)
	Calculate the length of a vectorn.
template<typename T>
T	det (const tmath::matrix< T, 3, 3 > &m)
	Calculate the determinant of a matrix.
template<typename T>
const tmath::matrix< T, 3, 3 >	inv (const tmath::matrix< T, 3, 3 > &m)
template<typename T>
const tmath::matrix< T, 3, 3 > &	inv (const tmath::matrix< T, 3, 3 > &m, tmath::matrix< T, 3, 3 > &mdst)
	Calculate the inverse of a matrix.
template<typename T>
T	det (const tmath::matrix< T, 4, 4 > &m)
	Calculates the determinant of a matrix<T,4,4>.
template<typename T>
const tmath::matrix< T, 4, 4 >	inv (const tmath::matrix< T, 4, 4 > &m)
	Calculates the inverse of a matrix<T,4,4>.
template<typename T>
const tmath::matrix< T, 4, 4 > &	inv (const tmath::matrix< T, 4, 4 > &m, tmath::matrix< T, 4, 4 > &mdst)
	Calculates the inverse of a matrix4<t>.
template<typename T>
const tmath::matrix< T, 3, 3 > &	conv (const tmath::quaternion< T > &q, tmath::matrix< T, 3, 3 > &mres)
	Converts a quaternion into a matrix<T,3,3>.
template<typename T>
void	transp (const tmath::matrix< T, 2, 2 > &m, tmath::matrix< T, 2, 2 > &rm)
	Transpose the matrix<T,2,2>.
template<typename T>
const tmath::matrix< T, 2, 2 >	transp (const tmath::matrix< T, 2, 2 > &m)
	Transpose the matrix<T,2,2>.
template<typename T>
const tmath::matrix< T, 3, 3 >	transp (const tmath::matrix< T, 3, 3 > &m)
	Transpose the matrix<T,3,3>.
template<typename T>
void	transp (const tmath::matrix< T, 3, 3 > &m, tmath::matrix< T, 3, 3 > &rm)
	Transpose the matrix<T,3,3>.
template<typename T>
const tmath::matrix< T, 4, 4 >	transp (const tmath::matrix< T, 4, 4 > &m)
	Transpose the matrix<T,4,4>.
template<typename T>
void	transp (const tmath::matrix< T, 4, 4 > &m, tmath::matrix< T, 4, 4 > &rm)
	Transpose the matrix<T,4,4>.
template<typename T>
tmath::matrix< T, 2, 2 > &	null (tmath::matrix< T, 2, 2 > &mat)
	Make a null matrix<T,2,2>.
template<typename T>
tmath::matrix< T, 2, 2 > &	identity (tmath::matrix< T, 2, 2 > &mat)
	Make a identity matrix<T,2,2>.
template<typename T>
tmath::matrix< T, 3, 3 > &	null (tmath::matrix< T, 3, 3 > &mat)
	Make a null matrix<T,3,3>.
template<typename T>
tmath::matrix< T, 3, 3 > &	identity (tmath::matrix< T, 3, 3 > &mat)
	Make a identity matrix<T,3,3>.
template<typename T>
tmath::matrix< T, 4, 4 > &	null (tmath::matrix< T, 4, 4 > &mat)
	Make a null matrix<T,4,4>.
template<typename T>
tmath::matrix< T, 4, 4 > &	identity (tmath::matrix< T, 4, 4 > &mat)
	Make a identity matrix<T,4,4>.
template<typename T>
const tmath::matrix< T, 4, 4 > &	conv (const tmath::matrix< T, 3, 3 > &m1, tmath::matrix< T, 4, 4 > &m2)
	Convert a matrix3 into a matrix4.
template<typename T>
const tmath::matrix< T, 3, 3 > &	conv (const tmath::matrix< T, 4, 4 > &m1, tmath::matrix< T, 3, 3 > &m2)
	Convert a matrix3 into a matrix3.
template<typename T>
const tmath::matrix< T, 4, 4 > &	conv (const tmath::matrix< T, 2, 2 > &m1, tmath::matrix< T, 4, 4 > &m2)
	Convert a matrix2 into a matrix4.
template<typename T>
const tmath::matrix< T, 2, 2 > &	conv (const tmath::matrix< T, 4, 4 > &m1, tmath::matrix< T, 2, 2 > &m2)
	Convert a matrix4 into a matrix2.
template<typename T>
const tmath::matrix< T, 3, 3 > &	conv (const tmath::matrix< T, 2, 2 > &m1, tmath::matrix< T, 3, 3 > &m2)
	Convert a matrix2 into a matrix3.
template<typename T>
const tmath::matrix< T, 2, 2 > &	conv (const tmath::matrix< T, 3, 3 > &m1, tmath::matrix< T, 2, 2 > &m2)
	Convert a matrix3 into a matrix2.

---

Function Documentation

template<typename T>

quaternion<T> conj

(

const quaternion< T > &

q

)

[inline]

conjugate the quaternion<T>

template<typename T>

const tmath::matrix<T,2,2>& conv	(	const tmath::matrix< T, 3, 3 > &	m1,
		tmath::matrix< T, 2, 2 > &	m2
	)			[inline]

Convert a matrix3 into a matrix2.

template<typename T>

const tmath::matrix<T,3,3>& conv	(	const tmath::matrix< T, 2, 2 > &	m1,
		tmath::matrix< T, 3, 3 > &	m2
	)			[inline]

Convert a matrix2 into a matrix3.

template<typename T>

const tmath::matrix<T,2,2>& conv	(	const tmath::matrix< T, 4, 4 > &	m1,
		tmath::matrix< T, 2, 2 > &	m2
	)			[inline]

Convert a matrix4 into a matrix2.

template<typename T>

const tmath::matrix<T,4,4>& conv	(	const tmath::matrix< T, 2, 2 > &	m1,
		tmath::matrix< T, 4, 4 > &	m2
	)			[inline]

Convert a matrix2 into a matrix4.

template<typename T>

const tmath::matrix<T,3,3>& conv	(	const tmath::matrix< T, 4, 4 > &	m1,
		tmath::matrix< T, 3, 3 > &	m2
	)			[inline]

Convert a matrix3 into a matrix3.

template<typename T>

const tmath::matrix<T,4,4>& conv	(	const tmath::matrix< T, 3, 3 > &	m1,
		tmath::matrix< T, 4, 4 > &	m2
	)			[inline]

Convert a matrix3 into a matrix4.

template<typename T>

const tmath::matrix<T,3,3>& conv	(	const tmath::quaternion< T > &	q,
		tmath::matrix< T, 3, 3 > &	mres
	)			[inline]

Converts a quaternion into a matrix<T,3,3>.

template<typename T>

void conv	(	const vectorn< T, 3 > &	v1,
		vectorn< T, 4 > &	v2
	)			[inline]

Convert vectorn<T,3> to vectorn.

template<typename T>

void conv	(	const vectorn< T, 4 > &	v1,
		vectorn< T, 3 > &	v2
	)			[inline]

Convert vectorn to vectorn<T,3>.

template<typename T>

void conv	(	const vectorn< T, 2 > &	v1,
		vectorn< T, 4 > &	v2
	)			[inline]

Convert vectorn to vector2.

template<typename T>

void conv	(	const vectorn< T, 2 > &	v1,
		vectorn< T, 3 > &	v2
	)			[inline]

Convert vectorn to vector2.

template<typename T>

void conv	(	const vectorn< T, 4 > &	v1,
		vectorn< T, 2 > &	v2
	)			[inline]

Convert vectorn to vector2.

template<typename T>

void conv	(	const vectorn< T, 3 > &	v1,
		vectorn< T, 2 > &	v2
	)			[inline]

Convert vectorn<T,3> to vector2.

template<typename T>

const tmath::matrix<T,4,4>& conv	(	const tmath::quaternion< T > &	q,
		tmath::matrix< T, 4, 4 > &	m
	)			[inline]

Converts a quaternion into a matrix4x4<T>.

template<typename T>

void cross	(	const tmath::vectorn< T, 3 > &	v1,
		const tmath::vectorn< T, 3 > &	v2,
		tmath::vectorn< T, 3 > &	rv
	)			[inline]

Calculates the cross product of two vectorn<T,3>.

template<typename T>

const tmath::vectorn<T,3> cross	(	const tmath::vectorn< T, 3 > &	v1,
		const tmath::vectorn< T, 3 > &	v2
	)			[inline]

Calculates the cross product of two vectorn<T,3>.

template<typename T>

T det

(

const tmath::matrix< T, 4, 4 > &

m

)

[inline]

Calculates the determinant of a matrix<T,4,4>.

template<typename T>

T det

(

const tmath::matrix< T, 3, 3 > &

m

)

[inline]

Calculate the determinant of a matrix.

template<typename T>

tmath::matrix<T,4,4>& identity

(

tmath::matrix< T, 4, 4 > &

mat

)

[inline]

Make a identity matrix<T,4,4>.

template<typename T>

tmath::matrix<T,3,3>& identity

(

tmath::matrix< T, 3, 3 > &

mat

)

[inline]

Make a identity matrix<T,3,3>.

template<typename T>

tmath::matrix<T,2,2>& identity

(

tmath::matrix< T, 2, 2 > &

mat

)

[inline]

Make a identity matrix<T,2,2>.

template<typename T>

void identity

(

quaternion< T > &

q

)

[inline]

Make an identity quaternion<T>.

template<typename T>

const tmath::matrix<T,4,4>& inv	(	const tmath::matrix< T, 4, 4 > &	m,
		tmath::matrix< T, 4, 4 > &	mdst
	)			[inline]

Calculates the inverse of a matrix4<t>.

template<typename T>

const tmath::matrix<T,4,4> inv

(

const tmath::matrix< T, 4, 4 > &

m

)

[inline]

Calculates the inverse of a matrix<T,4,4>.

template<typename T>

const tmath::matrix<T,3,3>& inv	(	const tmath::matrix< T, 3, 3 > &	m,
		tmath::matrix< T, 3, 3 > &	mdst
	)			[inline]

Calculate the inverse of a matrix.

template<typename T>

const tmath::matrix<T,3,3> inv

(

const tmath::matrix< T, 3, 3 > &

m

)

[inline]

template<typename T>

quaternion<T> inv

(

const quaternion< T > &

q

)

[inline]

invert the quaternion<T>

template<typename T, int NUM>

T len

(

const vectorn< T, NUM > &

v

)

[inline]

Calculate the length of a vectorn.

template<typename T>

T len

(

const vectorn< T, 4 > &

v

)

[inline]

Calculate the length of a vectorn.

template<typename T>

T len

(

const vectorn< T, 3 > &

v

)

[inline]

Calculate the length of a vectorn<T,3>.

template<typename T>

T len

(

const vectorn< T, 2 > &

v

)

[inline]

Calculate the length of a vector2.

template<class T>

T len

(

const tmath::quaternion< T > &

q

)

[inline]

Calculates the length of a quaternion.

template<typename T, int NUM>

T norm

(

const vectorn< T, NUM > &

v

)

[inline]

Calculate the normal of a vectorn.

template<typename T>

T norm

(

const vectorn< T, 4 > &

v

)

[inline]

Calculate the normal of a vectorn.

template<typename T>

T norm

(

const vectorn< T, 3 > &

v

)

[inline]

Calculate the normal of a vectorn<T,3>.

template<typename T>

T norm

(

const vectorn< T, 2 > &

v

)

[inline]

Calculate the normal of a vector2.

template<class T>

T norm

(

const tmath::quaternion< T > &

q

)

[inline]

Calculates the norm of a quaternion.

template<typename T, int NUM>

const vectorn<T,NUM> normalize

(

vectorn< T, NUM > &

v

)

[inline]

Normalize a vectorn.

template<typename T>

vectorn<T,4>& normalize

(

vectorn< T, 4 > &

v

)

[inline]

Normalize a vectorn.

template<typename T>

vectorn<T,3>& normalize

(

vectorn< T, 3 > &

v

)

[inline]

Normalize a vectorn<T,3>.

template<typename T>

vectorn<T,2>& normalize

(

vectorn< T, 2 > &

v

)

[inline]

Normalize a vector2.

template<class T>

tmath::quaternion<T>& normalize

(

tmath::quaternion< T > &

q

)

[inline]

Normalize the quaternion.

template<typename T>

tmath::matrix<T,4,4>& null

(

tmath::matrix< T, 4, 4 > &

mat

)

[inline]

Make a null matrix<T,4,4>.

template<typename T>

tmath::matrix<T,3,3>& null

(

tmath::matrix< T, 3, 3 > &

mat

)

[inline]

Make a null matrix<T,3,3>.

template<typename T>

tmath::matrix<T,2,2>& null

(

tmath::matrix< T, 2, 2 > &

mat

)

[inline]

Make a null matrix<T,2,2>.

template<typename T>

std::ifstream& operator>>	(	std::ifstream &	in,
		tmath::matrix< T, 4, 4 > &	m
	)			[inline]

template<typename T>

std::ifstream& operator>>	(	std::ifstream &	in,
		tmath::quaternion< T > &	q
	)			[inline]

template<typename T>

std::ifstream& operator>>	(	std::ifstream &	in,
		tmath::matrix< T, 3, 3 > &	m
	)			[inline]

template<typename T>

std::ifstream& operator>>	(	std::ifstream &	in,
		tmath::vectorn< T, 4 > &	v
	)			[inline]

template<typename T>

std::ifstream& operator>>	(	std::ifstream &	in,
		tmath::vectorn< T, 3 > &	v
	)			[inline]

template<typename T>

STARTNAMESPACE std::ifstream& operator>>	(	std::ifstream &	in,
		tmath::vectorn< T, 2 > &	v
	)			[inline]

template<typename T>

void transp	(	const tmath::matrix< T, 4, 4 > &	m,
		tmath::matrix< T, 4, 4 > &	rm
	)			[inline]

Transpose the matrix<T,4,4>.

template<typename T>

const tmath::matrix<T,4,4> transp

(

const tmath::matrix< T, 4, 4 > &

m

)

[inline]

Transpose the matrix<T,4,4>.

template<typename T>

void transp	(	const tmath::matrix< T, 3, 3 > &	m,
		tmath::matrix< T, 3, 3 > &	rm
	)			[inline]

Transpose the matrix<T,3,3>.

template<typename T>

const tmath::matrix<T,3,3> transp

(

const tmath::matrix< T, 3, 3 > &

m

)

[inline]

Transpose the matrix<T,3,3>.

template<typename T>

const tmath::matrix<T,2,2> transp

(

const tmath::matrix< T, 2, 2 > &

m

)

[inline]

Transpose the matrix<T,2,2>.

template<typename T>

void transp	(	const tmath::matrix< T, 2, 2 > &	m,
		tmath::matrix< T, 2, 2 > &	rm
	)			[inline]

Transpose the matrix<T,2,2>.

---