Vector of variable size. More...

#include "Imagine/LinAlg.h"

Inheritance diagram for Imagine::Vector< T >:

Public Types
typedef Base::const_iterator	const_iterator
	Const iterator type.

typedef Base::iterator	iterator
	Iterator type.

Public Types inherited from Imagine::Array< T >
typedef const T *	const_iterator
	Const iterator type.

typedef T *	iterator
	Iterator type.

Public Member Functions
	Vector ()
	Empty constructor. More...

	Vector (size_t n)
	Constructor (known size). More...

	Vector (const Base &v)
	Copy constructor. More...

	Vector (T *ptr, size_t n, bool handleDelete=false)
	Constructor (pre-allocated). More...

	~Vector ()
	Destructor. More...

Vector	clone () const
	Cloning. More...

Vector &	fill (T x)
	Filling. More...

Vector	getSubVect (size_t offset, size_t size) const
	Sub vector. More...

Vector	getSubVectRef (size_t offset, size_t size)
	Sub vector by reference. More...

Vector &	normalize ()
	Euclidean in-place normalization. More...

Vector	operator* (T x) const
	Scalar multiplication. More...

T	operator* (const Vector &v) const
	Scalar product. More...

Vector &	operator*= (T x)
	Scalar in place multiplication. More...

Vector	operator+ (const Vector &v) const
	Addition. More...

Vector	operator+ (T x) const
	Scalar Addition. More...

Vector &	operator+= (const Vector &v)
	In place Addition. More...

Vector &	operator+= (T x)
	Scalar in place Addition. More...

Vector	operator- (const Vector &v) const
	Substraction. More...

Vector	operator- (T x) const
	Scalar Substraction. More...

Vector	operator- () const
	Opposite. More...

Vector &	operator-= (const Vector &v)
	In place Substraction. More...

Vector &	operator-= (T x)
	Scalar in place substractrion. More...

Vector	operator/ (T x) const
	Scalar division. More...

Vector &	operator/= (T x)
	Scalar in place division. More...

Vector &	operator= (const Vector &v)
	Assignment. More...

Public Member Functions inherited from Imagine::Array< T >
	Array ()
	Empty constructor. More...

	Array (size_t size)
	Constructor (known size). More...

	Array (T *ptr, size_t size, bool handleDelete=false)
	Constructor (pre-allocated). More...

	Array (const Array &A)
	Copy constructor. More...

template<typename T2 >
	Array (const Array< T2 > &A)
	Constructor (different type). More...

	Array (const std::list< T > &L)
	Constructor (from list). More...

virtual	~Array ()
	Destructor. More...

iterator	begin ()
	Begin iterator. More...

const_iterator	begin () const
	Begin const iterator. More...

Array	clone () const
	Cloning. More...

T *	data ()
	Data pointer (read/write). More...

const T *	data () const
	Data pointer (read). More...

bool	empty () const
	Is empty. More...

iterator	end ()
	End iterator. More...

const_iterator	end () const
	End const iterator. More...

Array &	fill (const T &x)
	Filling. More...

Array	getSubArray (size_t offset, size_t size) const
	Sub array. More...

bool	operator!= (const Array &A) const
	Inequality test. More...

Array &	operator= (const Array &A)
	Assignment. More...

template<typename T2 >
Array &	operator= (const Array< T2 > &A)
	Assignment (different type). More...

bool	operator== (const Array &A) const
	Equality test. More...

const T &	operator[] (size_t i) const
	Read access. More...

T &	operator[] (size_t i)
	Write access. More...

void	setSize (size_t size)
	Change size. More...

size_t	size () const
	Size. More...

Static Public Member Functions
static Vector	Zero (size_t n)
	Zero vector. More...

Friends
Vector	convolution (const Vector &K, const Vector &v)
	Convolution. More...

T	correlation (const Vector &V1, const Vector &V2)
	Correlation. More...

double	dist (const Vector &V1, const Vector &V2)
	Distance. More...

T	maxNorm (const Vector &v)
	Maximum norm. More...

T	mean (const Vector &v)
	Mean of values. More...

T	norm (const Vector &v)
	Euclidean norm. More...

T	norm2 (const Vector &v)
	Squared Euclidean norm. More...

Vector	normalized (const Vector &v)
	Euclidean normalization. More...

T	normalizedCorrelation (const Vector &V1, const Vector &V2)
	Normalized Correlation. More...

Vector	operator* (T x, const Vector &v)
	Scalar multiplication. More...

Vector	operator+ (T x, const Vector &v)
	Scalar addition. More...

Vector	operator- (T x, const Vector &v)
	Scalar substraction. More...

T	sum (const Vector &v)
	Sum of values. More...

Vector	truncConvolution (const Vector &K, const Vector &v, size_t n=0)
	Truncated Convolution. More...

Detailed Description

template<typename T>
class Imagine::Vector< T >

Vector of variable size. Memory is reference counted, i.e.:

a=b results in a and b sharing the same memory
the last object using memory frees it when it dies
use clone() when this sharing is not desired

Parameters

T	value type

Examples:: LinAlg/test/test.cpp.

Constructor & Destructor Documentation

◆ Vector() [1/4]

template<typename T>

Imagine::Vector< T >::Vector ( )

inline

Constructs an unallocated vector of variables of type T

Vector<T> a; // non allocated

◆ Vector() [2/4]

template<typename T>

Imagine::Vector< T >::Vector ( size_t n )

inlineexplicit

Constructs an allocated vector of size variables of type T

Parameters

n	vector size

Vector<T> b(4); // allocated with specified size

◆ Vector() [3/4]

template<typename T>

Imagine::Vector< T >::Vector ( const Base & v )

inline

Constructs a vector from another one (sharing memory!)

Parameters

v	vector to copy

Vector<T> c(b); // copy constructor

◆ Vector() [4/4]

template<typename T>

Imagine::Vector< T >::Vector	(	T *	ptr,
		size_t	n,
		bool	handleDelete = `false`
	)

inline

Constructs a vector of variables of type T stored at an already allocated memory. Does not allocate fresh memory. Does not free given memory at object destruction unless handleDelete=true. This memory must indeed stay available during object life.

Parameters

ptr	address of memory
n	vector size
handleDelete	delete memory at destruction? (default=false)

    T t[]={1,2,3};                   // pre-allocated
    Vector<T> e(t,3);
    T *t2=new T[3];
    Vector<T> e2(t2,3,true);         // ...

◆ ~Vector()

template<typename T>

Imagine::Vector< T >::~Vector ( )

inline

Reference counted desctructor: frees memory if the object is the last one to use it.

Member Function Documentation

◆ clone()

template<typename T>

Vector Imagine::Vector< T >::clone ( ) const

inline

Clones: creates a new vector, with fresh memory, copying values to it

Returns: cloned vector

a=b.clone(); // cloning (fresh memory)

◆ fill()

template<typename T>

Vector& Imagine::Vector< T >::fill ( T x )

inline

Fills with constant value

Parameters

x	value to be copied to each element

Returns: self reference

b.fill(1.); // filling with constant value

◆ getSubVect()

template<typename T>

Vector Imagine::Vector< T >::getSubVect	(	size_t	offset,
		size_t	size
	)		const

inline

Construct a sub vector, i.e. a new vector with fresh memory, initialized from a part of values of *this

Parameters

offset	position of first element of sub vector
size	size of sub vector

Returns: sub vector

c=b.getSubVect(1,2); // sub vector

◆ getSubVectRef()

template<typename T>

Vector Imagine::Vector< T >::getSubVectRef	(	size_t	offset,
		size_t	size
	)

inline

Construct a sub vector without allocating new memory but pointing to some part of *this. Beware: *this (or its memory) must not be destroyed as long as the returned subvectref is used!

Parameters

offset	position of first element of sub vector
size	size of sub vector

Returns: sub vector

c=b.getSubVectRef(1,2); // sub vector ref (beware of restrictions!)

◆ normalize()

template<typename T>

Vector& Imagine::Vector< T >::normalize ( )

inline

In-place normalization using Euclidean norm

Returns: self reference

c.normalize(); // Euclidean in-place normalization

◆ operator*() [1/2]

template<typename T>

Vector Imagine::Vector< T >::operator* ( T x ) const

inline

Multiplies each coordinate by a scalar

Parameters

x	The scalar

Returns: Result

c=a*2; // * scalar

◆ operator*() [2/2]

template<typename T>

T Imagine::Vector< T >::operator* ( const Vector< T > & v ) const

inline

Scalar product of Vectors

Parameters

v	Vector to be combined with myself

Returns: Scalar product

x=a*b; // scalar product

◆ operator*=()

template<typename T>

Vector& Imagine::Vector< T >::operator*= ( T x )

inline

Multiplies each coordinate by a scalar

Parameters

x	The scalar

Returns: self reference

c*=2; // *= scalar

◆ operator+() [1/2]

template<typename T>

Vector Imagine::Vector< T >::operator+ ( const Vector< T > & v ) const

inline

Addition of two Vectors

Parameters

v	Vector to be added to myself

Returns: sum

c=a+b; // +

◆ operator+() [2/2]

template<typename T>

Vector Imagine::Vector< T >::operator+ ( T x ) const

inline

Adds a scalar to each coordinate

Parameters

x	Scalar to be added to myself

Returns: sum

c=a+1; // + scalar

◆ operator+=() [1/2]

template<typename T>

Vector& Imagine::Vector< T >::operator+= ( const Vector< T > & v )

inline

In place Addition of Vectors

Parameters

v	Vector to be added to myself

Returns: self reference

c+=b; // +=

◆ operator+=() [2/2]

template<typename T>

Vector& Imagine::Vector< T >::operator+= ( T x )

inline

Adds a scalar to each own coordinate

Parameters

x	Scalar to be added to myself

Returns: self reference

c+=1; // += scalar

◆ operator-() [1/3]

template<typename T>

Vector Imagine::Vector< T >::operator- ( const Vector< T > & v ) const

inline

Substraction of two Vectors

Parameters

v	Vector to be substracted from myself

Returns: difference

T t[]={1,2,3}; // pre-allocated

◆ operator-() [2/3]

template<typename T>

Vector Imagine::Vector< T >::operator- ( T x ) const

inline

Substracts a scalar to each coordinate

Parameters

x	Scalar to be substracted from myself

Returns: difference

c=a-1; // - scalar

◆ operator-() [3/3]

template<typename T>

Vector Imagine::Vector< T >::operator- ( ) const

inline

Opposite of a Vector

Returns: Opposite

c=-a; // unary -

◆ operator-=() [1/2]

template<typename T>

Vector& Imagine::Vector< T >::operator-= ( const Vector< T > & v )

inline

In place Substraction of Vectors

Parameters

v	Vector to be substracted from myself

Returns: self reference

c-=b; // -=

◆ operator-=() [2/2]

template<typename T>

Vector& Imagine::Vector< T >::operator-= ( T x )

inline

Subtracts a scalar to each own coordinate

Parameters

x	Scalar to be substracted from myself

Returns: self reference

c-=1; // -= scalar

◆ operator/()

template<typename T>

Vector Imagine::Vector< T >::operator/ ( T x ) const

inline

Divides each coordinate by a scalar

Parameters

x	The scalar

Returns: Result

c=a/2; // / scalar

◆ operator/=()

template<typename T>

Vector& Imagine::Vector< T >::operator/= ( T x )

inline

Divides each coordinate by a scalar

Parameters

x	The scalar

Returns: self reference

c/=2; // /= scalar

◆ operator=()

template<typename T>

Vector& Imagine::Vector< T >::operator= ( const Vector< T > & v )

inline

Assigns from another vector (sharing its memory)

Parameters

v	vector to be assigned to

Returns: self reference

c=b; // assignment

◆ Zero()

template<typename T>

static Vector Imagine::Vector< T >::Zero ( size_t n )

inlinestatic

Vector with constant 0 value

Parameters

n size

Returns: vector

b=Vector<T>::Zero(4); // Vector with constant 0 value

Examples:: LinAlg/test/test.cpp.

Friends And Related Function Documentation

◆ convolution

template<typename T>

Vector convolution	(	const Vector< T > &	K,
		const Vector< T > &	v
	)

friend

Convolution. Returns a vector which size if sum of sizes minus 1

Parameters

K	kernel
v	vector to convolution with K

Returns: Result

◆ correlation

template<typename T>

T correlation	(	const Vector< T > &	V1,
		const Vector< T > &	V2
	)

friend

Correlation between 2 vectors

Parameters

V1,V2 vectors

Returns: correlation

x=correlation(a,b); // correlation

◆ dist

template<typename T>

double dist	(	const Vector< T > &	V1,
		const Vector< T > &	V2
	)

friend

Distance Correlation between 2 vectors

Parameters

V1,V2 vectors

Returns: distance

/*double y=*/dist(a,b); // distance*/

◆ maxNorm

template<typename T>

T maxNorm ( const Vector< T > & v )

friend

Maximum norm

Parameters

v argument

Returns: Maximum norm

x=maxNorm(a); // Maximum norm

◆ mean

template<typename T>

T mean ( const Vector< T > & v )

friend

Mean of values

Parameters

v argument

Returns: Result

x=mean(a); // mean of values

◆ norm

template<typename T>

T norm ( const Vector< T > & v )

friend

Euclidean norm

Parameters

v argument

Returns: squared Euclidean norm

x=norm2(a); // squared Euclidean norm

◆ norm2

template<typename T>

T norm2 ( const Vector< T > & v )

friend

Squared Euclidean norm. NB: obtained from Euclidean norm, thus it's not faster to use norm2() instead of norm() ...

Parameters

v argument

Returns: squared Euclidean norm

x=norm2(a); // squared Euclidean norm

◆ normalized

template<typename T>

Vector normalized ( const Vector< T > & v )

friend

Normalization using Euclidean norm

Parameters

v	Vector to normalize

Returns: normalized vector

c=normalized(a); // Euclidean normalization

◆ normalizedCorrelation

template<typename T>

T normalizedCorrelation	(	const Vector< T > &	V1,
		const Vector< T > &	V2
	)

friend

Normalized Correlation between 2 vectors

Parameters

V1,V2 vectors

Returns: correlation

x=normalizedCorrelation(a,b); // normalized correlation

◆ operator*

template<typename T>

Vector operator*	(	T	x,
		const Vector< T > &	v
	)

friend

Multiplies each coordinate by a scalar

Parameters

x	The scalar
v	The Vector

Returns: The result

c=2*a; // scalar * Vector

◆ operator+

template<typename T>

Vector operator+	(	T	x,
		const Vector< T > &	v
	)

friend

Adds a scalar to each coordinate

Parameters

x	The scalar
v	The Vector

Returns: The result

c=1+a; // scalar + Vector

◆ operator-

template<typename T>

Vector operator-	(	T	x,
		const Vector< T > &	v
	)

friend

Substract each coordinate to a scalar

Parameters

x	The scalar
v	The Vector

Returns: The result

c=1-a; // scalar - Vector

◆ sum

template<typename T>

T sum ( const Vector< T > & v )

friend

Sum of values

Parameters

v argument

Returns: Result

x=sum(a); // sum of values

◆ truncConvolution

template<typename T>

Vector truncConvolution	(	const Vector< T > &	K,
		const Vector< T > &	v,
		size_t	n = `0`
	)

friend

Truncated convolution. Returns a vector of the same size than v.

Parameters

K	kernel
v	vector to convolution with K
n	shift

Returns: Result

c=truncConvolution(K,a,1); // Truncated convolution

The documentation for this class was generated from the following file:

/home/pascal/Ponts/svn/ImagineQt/Imagine/LinAlg/src/Imagine/LinAlg/Vector.h

Public Types

Public Member Functions

Static Public Member Functions

Friends

Detailed Description

template<typename T> class Imagine::Vector< T >

Constructor & Destructor Documentation

◆ Vector() [1/4]

◆ Vector() [2/4]

◆ Vector() [3/4]

◆ Vector() [4/4]

◆ ~Vector()

Member Function Documentation

◆ clone()

◆ fill()

◆ getSubVect()

◆ getSubVectRef()

◆ normalize()

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator*=()

◆ operator+() [1/2]

◆ operator+() [2/2]

◆ operator+=() [1/2]

◆ operator+=() [2/2]

◆ operator-() [1/3]

◆ operator-() [2/3]

◆ operator-() [3/3]

◆ operator-=() [1/2]

◆ operator-=() [2/2]

◆ operator/()

◆ operator/=()

◆ operator=()

◆ Zero()

Friends And Related Function Documentation

◆ convolution

◆ correlation

◆ dist

◆ maxNorm

◆ mean

◆ norm

◆ norm2

◆ normalized

◆ normalizedCorrelation

◆ operator*

◆ operator+

◆ operator-

◆ sum

◆ truncConvolution

template<typename T>
class Imagine::Vector< T >