#include <typeinfo>
#include <assert.h>
#include <stdexcept>
#include <math.h>
#include <complex>
#include <iostream>
#include <type_traits>
#include <mia/core/defines.hh>
#include <mia/core/type_traits.hh>

Data Structures
struct	less_then< T3DVector< T > >

class	T3DVector< T >
	A simple 3D vector type. More...

Typedefs
typedef T3DVector< unsigned int >	C3DBounds
	A unsinged int 3D Vector (used for 3D field sizes) More...

typedef T3DVector< double >	C3DDVector
	A double 3D Vector. More...

typedef T3DVector< float >	C3DFVector
	A float 3D Vector. More...

Functions
template<typename T >
T3DVector< T >	cross (const T3DVector< T > &a, const T3DVector< T > &b)

template<class T >
double	dot (const T3DVector< T > &a, const T3DVector< T > &b)

template<class T >
double	fabs (const T3DVector< T > &t)
	A way to get the norm of a T3DVector using faba syntax. More...

template<class T >
bool	operator!= (const T3DVector< T > &a, const T3DVector< T > &b)
	comparison operator not equal More...

template<class T >
const T3DVector< T >	operator* (const T3DVector< T > &a, const T3DVector< T > &b)
	vector scalar product More...

template<class T >
const T3DVector< T >	operator* (const T3DVector< T > &a, double f)
	vector multiplication with scalar More...

template<class T >
const T3DVector< T >	operator* (double f, const T3DVector< T > &a)
	vector multiplication with scalar reverse order More...

template<class T >
const T3DVector< T >	operator+ (const T3DVector< T > &a, const T3DVector< T > &b)
	vector addition More...

template<typename T , typename S >
T3DVector< T >	operator+ (const T3DVector< T > &a, const T3DVector< S > &b)

template<class T >
const T3DVector< T >	operator- (const T3DVector< T > &a, const T3DVector< T > &b)
	vector subtraction More...

template<class T >
const T3DVector< T >	operator/ (const T3DVector< T > &a, double f)
	vector division by scalar More...

template<class T >
const T3DVector< T >	operator/ (const T3DVector< T > &a, const T3DVector< T > &b)

template<class T >
bool	operator< (const T3DVector< T > &a, const T3DVector< T > &b)
	comparison less, returns true if all components of a are less then those of b More...

template<class T >
std::ostream &	operator<< (std::ostream &os, const T3DVector< T > &v)
	stream output operator for 3DVector More...

template<class T >
bool	operator<= (const T3DVector< T > &b, const T3DVector< T > &a)
	comparison less or equal, returns true if all components of a are less or equal then those of b More...

template<class T >
bool	operator== (const T3DVector< T > &a, const T3DVector< T > &b)
	comparison operator equal More...

template<class T >
bool	operator> (const T3DVector< T > &b, const T3DVector< T > &a)
	comparison greater, returns true if all components of a are greater then those of b More...

template<class T >
bool	operator>= (const T3DVector< T > &b, const T3DVector< T > &a)
	comparison greater or equal, returns true if all components of a are greater or equal then those of b More...

template<class T >
std::istream &	operator>> (std::istream &is, T3DVector< T > &v)
	stream input operator for 3DVector More...

template<class T >
const T3DVector< T >	operator^ (const T3DVector< T > &a, const T3DVector< T > &b)
	3D vector cross product More...

Typedef Documentation

typedef T3DVector<unsigned int> C3DBounds

A unsinged int 3D Vector (used for 3D field sizes)

Definition at line 331 of file 3d/vector.hh.

typedef T3DVector<double> C3DDVector

A double 3D Vector.

Definition at line 328 of file 3d/vector.hh.

typedef T3DVector<float> C3DFVector

A float 3D Vector.

Definition at line 325 of file 3d/vector.hh.

Function Documentation

template<typename T >

T3DVector<T> cross	(	const T3DVector< T > &	a,
		const T3DVector< T > &	b
	)

Cross product of two 3D vectors

Parameters

a
b

Returns: cross product a x b

Definition at line 301 of file 3d/vector.hh.

References T3DVector< T >::x, T3DVector< T >::y, and T3DVector< T >::z.

template<class T >

double dot	(	const T3DVector< T > &	a,
		const T3DVector< T > &	b
	)

Returns: the dot product of input vectors a and b

Definition at line 318 of file 3d/vector.hh.

References T3DVector< T >::x, T3DVector< T >::y, and T3DVector< T >::z.

template<class T >

double fabs ( const T3DVector< T > & t )

A way to get the norm of a T3DVector using faba syntax.

Definition at line 312 of file 3d/vector.hh.

References T3DVector< T >::norm().

Referenced by T3DMatrix< T >::get_eigenvalues(), and kmeans_step().

template<class T >

bool operator!=	(	const T3DVector< T > &	a,
		const T3DVector< T > &	b
	)

inline

comparison operator not equal

Definition at line 448 of file 3d/vector.hh.

template<class T >

const T3DVector<T> operator*	(	const T3DVector< T > &	a,
		const T3DVector< T > &	b
	)

inline

vector scalar product

Definition at line 385 of file 3d/vector.hh.

References T3DVector< T >::x, T3DVector< T >::y, and T3DVector< T >::z.

template<class T >

const T3DVector<T> operator*	(	const T3DVector< T > &	a,
		double	f
	)

inline

vector multiplication with scalar

Definition at line 414 of file 3d/vector.hh.

template<class T >

const T3DVector<T> operator*	(	double	f,
		const T3DVector< T > &	a
	)

inline

vector multiplication with scalar reverse order

Definition at line 424 of file 3d/vector.hh.

template<class T >

const T3DVector<T> operator+	(	const T3DVector< T > &	a,
		const T3DVector< T > &	b
	)

inline

vector addition

Definition at line 354 of file 3d/vector.hh.

template<typename T , typename S >

T3DVector<T> operator+	(	const T3DVector< T > &	a,
		const T3DVector< S > &	b
	)

Add operator for two 3D vectors that hold different data types Target type is taken from the lhs operator

Template Parameters

type	of the vector values

Parameters

a
b

Returns: a+b

Definition at line 369 of file 3d/vector.hh.

References T3DVector< T >::x, T3DVector< T >::y, and T3DVector< T >::z.

template<class T >

const T3DVector<T> operator-	(	const T3DVector< T > &	a,
		const T3DVector< T > &	b
	)

inline

vector subtraction

Definition at line 377 of file 3d/vector.hh.

template<class T >

const T3DVector<T> operator/	(	const T3DVector< T > &	a,
		double	f
	)

inline

vector division by scalar

Definition at line 392 of file 3d/vector.hh.

template<class T >

const T3DVector<T> operator/	(	const T3DVector< T > &	a,
		const T3DVector< T > &	b
	)

inline

component wise division of two vectors

Definition at line 405 of file 3d/vector.hh.

References T3DVector< T >::x, T3DVector< T >::y, and T3DVector< T >::z.

template<class T >

bool operator<	(	const T3DVector< T > &	a,
		const T3DVector< T > &	b
	)

comparison less, returns true if all components of a are less then those of b

Definition at line 455 of file 3d/vector.hh.

template<class T >

std::ostream& operator<<	(	std::ostream &	os,
		const T3DVector< T > &	v
	)

stream output operator for 3DVector

Definition at line 337 of file 3d/vector.hh.

References T3DVector< T >::write().

template<class T >

bool operator<=	(	const T3DVector< T > &	b,
		const T3DVector< T > &	a
	)

comparison less or equal, returns true if all components of a are less or equal then those of b

Definition at line 461 of file 3d/vector.hh.

template<class T >

bool operator==	(	const T3DVector< T > &	a,
		const T3DVector< T > &	b
	)

inline

comparison operator equal

Definition at line 441 of file 3d/vector.hh.

References T3DVector< T >::x, T3DVector< T >::y, and T3DVector< T >::z.

template<class T >

bool operator>	(	const T3DVector< T > &	b,
		const T3DVector< T > &	a
	)

comparison greater, returns true if all components of a are greater then those of b

Definition at line 467 of file 3d/vector.hh.

References T3DVector< T >::x, T3DVector< T >::y, and T3DVector< T >::z.

template<class T >

bool operator>=	(	const T3DVector< T > &	b,
		const T3DVector< T > &	a
	)

comparison greater or equal, returns true if all components of a are greater or equal then those of b

Definition at line 473 of file 3d/vector.hh.

References T3DVector< T >::x, T3DVector< T >::y, and T3DVector< T >::z.

template<class T >

std::istream& operator>>	(	std::istream &	is,
		T3DVector< T > &	v
	)

stream input operator for 3DVector

Definition at line 345 of file 3d/vector.hh.

References T3DVector< T >::read().

template<class T >

const T3DVector<T> operator^	(	const T3DVector< T > &	a,
		const T3DVector< T > &	b
	)

inline

3D vector cross product

Definition at line 432 of file 3d/vector.hh.

References T3DVector< T >::x, T3DVector< T >::y, and T3DVector< T >::z.

Data Structures

Typedefs

Functions

Typedef Documentation

Function Documentation