This class describes Multi Level DFT routines based on fftw library. More...

#include <FFTW_MultiLevelsDFT.h>

Inheritance diagram for FFTW_MultiLevelsDFT:

Collaboration diagram for FFTW_MultiLevelsDFT:

[legend]

Public Member Functions
virtual SP::FFTW_FFT	NewInstance () const
	retun a new instance of this More...

const tFFTWComplex &	operator() (const tUSInt &k, const tUIndex &i) const
	get the complex value at level index i for coordinate k More...

tFFTWComplex &	operator() (const tUSInt &k, const tUIndex &i)
	get the complex value at level index i for coordinate k More...

virtual void	copy (const FFTW_FFT &c)
	copy the MultiLevelsDFT More...

virtual void	clear ()
	clear the FFT More...

virtual void	setSize (const CORE_UIndexArray &levels, const tUSInt &dim)
	set the size of the FFT in multilevels form More...

tUIndex	setLevels (const tUInt &nLevels, const tUIndex levels[], const tUSInt &dim)
	set the levels of the DFTs More...

virtual tUIndex	setLevels (const CORE_UIndexArray &levels, const tUSInt &dim)
	set the levels of the DFTs More...

virtual void	setFFTsNumber (const tUInt &n)
	set the number of FFTs More...

virtual void	setFFT (const tUInt &f, const tSInt &dir, const tBoolean &isInverse, const tBoolean &optimize)
	set the FFT at index f More...

virtual void	setFFT (const tUInt &f, const tSInt &dir, const tBoolean &isInverse)
	set the FFT at index f More...

virtual void	setFFT (const tUInt &f, const tBoolean &isInverse)
	set the FFT at index f More...

virtual tULLInt	getMemorySize () const
	return the memory size in byte More...

virtual tUInt	getFFTsNumber () const
	get the number of FFTs More...

virtual tUIndex	getSize (CORE_UIndexArray &levels) const
	get the size of the FFT in multi-levels form More...

const tUIndex &	getSize (const tUInt &l) const
	get the size of the levels at index l More...

const CORE_UIndexArray &	getLevels () const
	get the levels size More...

const tUIndex &	getLevelsNumber () const
	get the number of levels More...

virtual void	runFFT (const tUIndex &f)
	run the plan More...

const tFFTWComplex &	operator[] (const tUIndex &i) const
	get the complex value at index i More...

tFFTWComplex &	operator[] (const tUIndex &i)
	get the complex value at index i More...

FFTW_FFT &	operator*= (const FFTW_FFT &Y)
	multiply two DFTs This *= Y; More...

void	setPointsNumber (const tUIndex &n)
	set the number of values More...

virtual void	setDimension (const tUSInt &n)
	set the dimension of a point More...

const FFTW_ComplexArray &	getArray () const
	get the array of values of the FFT More...

FFTW_ComplexArray &	getArray ()
	get the array of values of the FFT More...

const tFFTWComplex *	getValues () const
	get the values of the FFT More...

tFFTWComplex *	getValues ()
	get the values of the FFT More...

const tUIndex &	getValuesNumber () const
	get the number of values More...

const tUSInt &	getDimension () const
	get the dimension of the FFT More...

const tUIndex &	getPointsNumber () const
	get the number of points More...

virtual void	multiply (const FFTW_FFT &Y)
	multiply this by the DFTs Y More...

void	getSharedPointer (SP::CORE_Object &p)
	get the shared pointer of this class into p More...

void	getSharedPointer (SPC::CORE_Object &p) const
	get the shared pointer of this class into p More...

tString	getClassName () const
	return the class name of the object More...

tString	getIdentityString () const
	return the identity string of the object of the form className_at_address More...

tString	getPointerAddress () const
	return the identity string of the object More...

template<class T >
tBoolean	isInstanceOf () const
	test if the clas T is an instance of this class More...

tBoolean	isInstanceOf (const tString &name) const
	test if the object is an instance of className More...

virtual tString	toString () const
	return the string representation of the object node More...

Static Public Member Functions
static SP::FFTW_MultiLevelsDFT	New ()
	create an array of Discrete fast Fourier Transform of size dim More...

static void	setIsMemoryChecked (const tBoolean &v)
	set if the memory checking is used More...

static void	setOut (SP::CORE_Out out)
	set the output stream More...

static void	resetOut ()
	reset the output stream More...

static void	setThread (SP::CORE_Thread thread)
	set the thread More...

static void	resetThread ()
	reset the output stream More...

static CORE_Out &	out ()
	get the output More...

static SP::CORE_Out	getOut ()
	get the output More...

static CORE_Thread &	getThread ()
	get the profilier More...

static const tBoolean &	isMemoryChecked ()
	get if the memory checking is used More...

static tString	getClassName (const tString &identityString)
	return the class name of the object More...

template<class T >
static tString	getTypeName ()
	get type name More...

static tBoolean	is64Architecture ()
	return true if the machine is a 64 bits machine More...

static tBoolean	is32Architecture ()
	return true if the machine is a 32 bits machine More...

static tString	pointer2String (const void *obj)
	return the string representation of a pointer More...

static void	printObjectsInMemory (ostream &f)
	print object in memory More...

static void	printObjectsInMemory ()
	print object in memory in the standart output More...

static tChar	getMaxChar ()
	get the max value for tChar type More...

static tChar	getMinChar ()
	get the min value for tChar type More...

static tUChar	getMaxUChar ()
	get the max value for tUChar type More...

static tUChar	getMinUChar ()
	get the min value for tUChar type More...

static tSInt	getMaxSInt ()
	get the max value for tSInt type More...

static tSInt	getMinSInt ()
	get the min value for tSInt type More...

static tUSInt	getMaxUSInt ()
	get the max value for tUSInt type More...

static tUSInt	getMinUSInt ()
	get the min value for tUSInt type More...

static tInt	getMaxInt ()
	get the max value for tInt type More...

static tInt	getMinInt ()
	get the min value for tInt type More...

static tUInt	getMaxUInt ()
	get the max value for tUInt type More...

static tUInt	getMinUInt ()
	get the min value for tUInt type More...

static tLInt	getMaxLInt ()
	get the max value for tLInt type More...

static tLInt	getMinLInt ()
	get the min value for tLInt type More...

static tULInt	getMaxULInt ()
	get the max value for tULInt type More...

static tULInt	getMinULInt ()
	get the min value for tULInt type More...

static tLLInt	getMaxLLInt ()
	get the max value for tULInt type More...

static tLLInt	getMinLLInt ()
	get the min value for tLLInt type More...

static tULLInt	getMaxULLInt ()
	get the max value for tULLInt type More...

static tULLInt	getMinULLInt ()
	get the min value for tULLInt type More...

static tFloat	getMaxFloat ()
	get the max value for tFloat type More...

static tFloat	getMinFloat ()
	get the min value for tFloat type More...

template<class T >
static T	getEpsilon ()
	get the epsilon value for T type More...

template<class T >
static T	getInfinity ()
	get the infinity for T type More...

static tFloat	getFloatEpsilon ()
	get the epsilon value for tFloat type More...

static tFloat	getFloatInfinity ()
	get the infinity value for tFloat type More...

static tDouble	getMaxDouble ()
	get the max value for tDouble type More...

static tDouble	getMinDouble ()
	get the min value for tDouble type More...

static tDouble	getDoubleInfinity ()
	get the infinity value for tFloat type More...

static tDouble	getDoubleEpsilon ()
	get the epsilon value for tDouble type More...

static tLDouble	getMinLDouble ()
	get the min value for tLDouble type More...

static tLDouble	getMaxLDouble ()
	get the max value for tLDouble type More...

static tLDouble	getLDoubleEpsilon ()
	get the epsilon value for tLDouble type More...

static tDouble	getLDoubleInfinity ()
	get the infinity value for tDouble type More...

static tIndex	getMaxIndex ()
	get the max value for the array/vector indexing type More...

static tIndex	getMinIndex ()
	get the min value for the array/vector indexing type More...

static tUIndex	getMaxUIndex ()
	get the max value for difference the array/vector indexing type More...

static tUIndex	getMinUIndex ()
	get the min value for difference the array/vector indexing type More...

static tFlag	getMaxFlag ()
	get the max value for the tFlag type More...

static tFlag	getMinFlag ()
	get the min value for the tFlag type More...

static tUInteger	getMaxUInteger ()
	get the max value for the unsigned integer type More...

static tUInteger	getMinUInteger ()
	get the min value for the unsigned integer type More...

static tInteger	getMaxInteger ()
	get the max value for the integer type More...

static tInteger	getMinInteger ()
	get the min value for the integer type More...

static tReal	getMaxReal ()
	get the max value for the real type More...

static tReal	getMinReal ()
	get the min value for the real type More...

static tReal	getRealEpsilon ()
	get the eps which is the difference between 1 and the least value greater than 1 that is representable. More...

static tReal	getRealInfinity ()
	get the infinity value More...

template<class T >
static T	computeEpsilon ()
	compute epsilon More...

Static Public Attributes
static const tSInt	FORWARD =-1

static const tSInt	BACKWARD =1

Protected Member Functions
	FFTW_MultiLevelsDFT ()
	create a FFT object More...

virtual	~FFTW_MultiLevelsDFT (void)
	destroy an FFT Object. More...

virtual void	setPlan (const tUIndex &i, FFTW_Plan &p)
	create the values for the plan at index i More...

void	setPlansNumber (const tUIndex &n)
	set the number of plans More...

tUIndex	getPlansNumber () const
	get the number of plans More...

const SV::FFTW_Plan &	getPlans () const
	get the plans of the FFT More...

SV::FFTW_Plan &	getPlans ()
	get the plans of the FFT More...

void	setThis (SP::CORE_Object p)
	set this weak shared pointer called toDoAfterThis setting method More...

virtual void	toDoAfterThisSetting ()
	method called after setThis() method this method can oly be called once. More...

Private Member Functions
	SP_OBJECT (FFTW_MultiLevelsDFT)

void	allocatePlanValues (const tUIndex &n)
	allocate the values of plan More...

void	desallocatePlanValues ()
	desallocation the values of plans More...

tUIndex	getProjectionsNumber (const tUInt &l) const
	return the number of projection for level l More...

tUIndex	computeProjection (const tUIndex &nLevels, const tUIndex *levels, const tUIndex &l, const tUIndex p, tUIndex &index0, tUIndex &step) const
	compute the projection at level l for projection p More...

void	project (const tUIndex &nLevels, const tUIndex levels, const tUIndex &l, const tUIndex &p, const tFFTWComplex V, tFFTWComplex *A) const
	project the values mValues to the working array A for plan at level l and coordinate k More...

void	recover (const tUIndex &nLevels, const tUIndex levels, const tUIndex &l, const tUIndex &p, const tFFTWComplex A, tFFTWComplex *V) const
	recover the values V from the working array A for plan l and coordinate k More...

void	computeProjectionIndex (const tUIndex &nLevels, const tUIndex levels, const tUIndex &l, const tUIndex &p, tUIndex I) const
	compoute the index of the point corresponding to global projection index More...

void	nextIndices (const tUIndex &nLevels, const tUIndex levels, const tUIndex &l, tUIndex I) const
	compute the next indices of the next projection to level l More...

void	project (const tUIndex &nLevels, const tUIndex levels, const tUIndex I, const tUIndex &step, const tUIndex &N, const tFFTWComplex V, tFFTWComplex Y) const
	project the V values to Y from indices I with step More...

void	recover (const tUIndex &nLevels, const tUIndex levels, const tUIndex I, const tUIndex &step, const tUIndex &N, const tFFTWComplex Y, tFFTWComplex V) const
	recover the V values from Y from indices I with step More...

Private Attributes
CORE_UIndexArray	mLevels

CORE_UIntegerArray	mThreadsNumber

FFTW_ComplexArray *	mY

Detailed Description

This class describes Multi Level DFT routines based on fftw library.

A $L$ Multi level FFt is the FFT on space $R^{ N_0 \times N_1 \times ... \times N_{L-1} }$ where L is the number of levels and $ N_l$ the number of points by level. Ech point has a dimension D. The multi-levels FFT is defined by $\displaystyle F=\bigotimes_{i=0}^{i=L-1} F_{n_I}$ . The total number of points is $N= \displaystyle \prod_{i=0}^{i=L-1} N_l$ .

The DFT $F_{N_l}$ is defined in the class FFTW_MultiDFTs.

By definition, $F = A \bigotimes B$ where A is a matrix of size n x m and B a matrix of size p x q, is a matrix with n x m blocks. the block $\forall (i,j) \in [0,n[ \times [0,m[, F_{ij}=A_{ij}.B$ has a size equals to p x q.

For the openMP version , the used number of threads depends on the size of each level:

for each level l, $\displaystyle P_l= \prod_{u=0,u \neq l }^{u=L-1} N_u$ FFTs are executed and each FFT is applied to a vector of size $ N_l $ .

if $P_l \geq N_l$ , then the loop on FFts are parallelized with threads but each FFT is mono-threaded,
if $P_l \leq N_l$ , then the loop on FFts are not parallelelized ( ) but each FFT is multi-threaded with threads.

On this multi levels vector, f FFTs ( $f \in [0,F[$ ) can be executed. An execution a one FFT consists in execution for each level $l \in [0,L[$ , $ P_l $ FFTs of size $ N_l $ for each dimension k in [0,D[ on $ T_l $ threads.

If the process is mono-threaded, at each level l and coordinate k, FFTs of size is executed.
If the process is multi-threaded, at eache level l and coordinate k is associated threads. Each thread executes mono-theaded FFTs of size or oen thread executes multi-theaded FFTs of size on threads. The biggest loop size is multi-threaded.

In the FFTW library, to each FFT is associated a Plan (FFTW_Plan). A plan deals with the same vector values with one plan by thread. So the number of plans to create is $F. D . \sum_{l=0}^{l=L-1} T_l$ . Each plan execute $P_l= \displaystyle \prod_{u=0,u \neq l }^{u=L-1} N_u/T_l$ FFTs of size $ N_l $ .

The index of plan (t,k,l,f) is $\displaystyle i = f \cdot \left (\sum_{u=0}^{u<L} T_u \right ) \cdot D + l \cdot \left ( \sum_{u=0}^{u<l} T_u \right ) \cdot D + k \cdot T_l + t$

f : index of plan in [0,F[
l : level in [0,L[
k : coordinate in [0,D[
t : thread in [0,T[l] [

The plan (t,k,l,f) works on values whose index z in $ [0,N_l[ $ is $\displaystyle j= l \cdot \left ( \sum_{u=0}^{u<l} T_u . N_u \right ) \cdot D + k \cdot T_l . N_l +t \cdot N_l + z$ .

the size of values for all fft plans is $\displaystyle D \cdot \sum_{u=0}^{u=L-1} T_u.N_u$ .
all the plans with same indice f in [0,F[ share the same values

Running a multi level FFT consists of a vector V of size N.D : see method FFTW_MultiLevelsDFT::runFFT()

for all l in [0,L[ do loop
- $\displaystyle P =\prod_{u=0,u \neq l }^{u=L-1} N_u$
- for all k in [0,D[ do loop
  - for each thread t in [0,T_l [ do parallel loop
    - execute projections of size ; For each projection p do:
      - get the values Y to transform in
      - project the vector V to Y corresponding to the projection p : extract all the indices $Y[r]=V_k[i], i_0+r.\alpha \forall r \in [0,N_l[$ of V to Y.
        
        compute $\forall i \in [0,L-1[, P_i$ such that $p=P_0+P_1.N_1+...+P_{l-1}.N_0....N_{l-2}+ P_{l}.N_0....N_{l}+...+P_{L-2}.N_0....N_{L-2}$
        
        compute $\displaystyle i_0= _0+P_1.N_0+....+P_{l-1}.N_0...N_{l-2}+P_{l}.N_0...N_{l-2}.N_{l-1}.N_{l}+...+P_{L-2}.N_0...N_{L-2}$
        
        compute $\alpha = \displaystyle \prod_{i=0}^{i=l-1} N_i$
    - compute $\tilde Y=DFT_{N_l}(Y)$
    - recover the value V from Y :

Author: Stéphane Despréaux

Version: 1.0

Constructor & Destructor Documentation

◆ FFTW_MultiLevelsDFT()

FFTW_MultiLevelsDFT::FFTW_MultiLevelsDFT ( )

protected

create a FFT object

References mLevels, mThreadsNumber, mY, null, and CORE_Array< T >::setSize().

Referenced by New().

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◆ ~FFTW_MultiLevelsDFT()

FFTW_MultiLevelsDFT::~FFTW_MultiLevelsDFT ( void )

protectedvirtual

destroy an FFT Object.

References desallocatePlanValues().

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Member Function Documentation

◆ allocatePlanValues()

void FFTW_MultiLevelsDFT::allocatePlanValues ( const tUIndex & n )

private

allocate the values of plan

Parameters

n	size of the plans values

References desallocatePlanValues(), mY, and FFTW_ComplexArray::setSize().

Referenced by setLevels().

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◆ clear()

void FFTW_MultiLevelsDFT::clear ( )

virtual

clear the FFT

Reimplemented from FFTW_FFT.

References FFTW_FFT::clear(), desallocatePlanValues(), mLevels, mThreadsNumber, and CORE_Array< T >::setSize().

Referenced by operator()().

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◆ computeEpsilon()

template<class T >

static T CORE_Object::computeEpsilon ( )

inlinestaticinherited

compute epsilon

Returns: the epsilon value eps=10^{-p/3} where p is defined by getEpsilon()=10^{-p}

◆ computeProjection()

tUIndex FFTW_MultiLevelsDFT::computeProjection	(	const tUIndex &	nLevels,
		const tUIndex *	levels,
		const tUIndex &	l,
		const tUIndex	p,
		tUIndex &	index0,
		tUIndex &	step
	)		const

private

compute the projection at level l for projection p

Parameters

nLevels	number of levels
levels	number of points by level
l	level of computing projection in [0,nLevels[
p	index of the projection in $[0,\prod_{i=0, i \neq l}^{i=n-1} N_i$
index0	: the first value of the projection
step	the step between two projected values

Returns

the nulber of values : N_l $ p=P_0+M_0*(P_1+M_1*(P_2+..)) $

with

$M_i=N_i \forall i \in [0,l[$
$M_i=N_{i+1} \forall i \in ]l,n[$

$index0=P_0+P_1*N_0+....+P_{l-1}*N_0*..N_{l-2} +P_{l}*N_0*..N_{l-2}*N_{l-1}*N_{l}+...+P_{n-2}*N_0*..N_{n-2}$

$step=\prod_{i=0}^{i=l-1} Ni$

References tUIndex.

Referenced by getProjectionsNumber(), project(), and recover().

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◆ computeProjectionIndex()

void FFTW_MultiLevelsDFT::computeProjectionIndex	(	const tUIndex &	nLevels,
		const tUIndex *	levels,
		const tUIndex &	l,
		const tUIndex &	p,
		tUIndex *	I
	)		const

private

compoute the index of the point corresponding to global projection index

Parameters

nLevels	number of levels
levels	number of points by level
l	: the projection level in [0,nLevels[
p	: the index of projection in [0,getProjectionsNumber(l)[
I	: the index of points of size nLevels

compute the values index from projection index $ p=P_0+M_0*(P_1+M_1*(P_2+..)) $ with

for all i in [0,l[
$M_i=N_{i+1}$ for all i in ]l,n[

index= $P_0+P_1*N_0+....+P_{l-1}*N_0*..N_{l-2}+0 *N_0*..N_{l-2}*N_{l-1} +P_{l}*N_0*..N_{l-2}*N_{l-1}*N_{l}+...+P_{n-2}*N_0*..N_{n-2}$ $I_i=P_i$ fo rall i in [0,l[

$ I_l=0 $

$I_i=P_{i-1}$ for all i in ]l,nLevels[

References tUIndex.

Referenced by getProjectionsNumber(), and runFFT().

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◆ copy()

void FFTW_MultiLevelsDFT::copy ( const FFTW_FFT & c )

virtual

copy the MultiLevelsDFT

Parameters

c	discrete fourier transform to copy

Reimplemented from FFTW_FFT.

References FFTW_FFT::copy(), FFTW_FFT::getDimension(), getLevels(), null, and setLevels().

Referenced by operator()().

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◆ desallocatePlanValues()

void FFTW_MultiLevelsDFT::desallocatePlanValues ( )

private

desallocation the values of plans

References mY, and null.

Referenced by allocatePlanValues(), clear(), and ~FFTW_MultiLevelsDFT().

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◆ getArray() [1/2]

const FFTW_ComplexArray& FFTW_FFT::getArray ( ) const

inlineinherited

get the array of values of the FFT

Returns: the array of the values

References FFTW_FFT::mValues.

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◆ getArray() [2/2]

FFTW_ComplexArray& FFTW_FFT::getArray ( )

inlineinherited

get the array of values of the FFT

Returns: the array of the values

References FFTW_FFT::mValues.

◆ getClassName() [1/2]

tString CORE_Object::getClassName ( ) const

inherited

return the class name of the object

Returns: the class name of the object

References tString.

Referenced by CORE_Object::getIdentityString(), EMM_Operator::getName(), and CORE_Object::isMemoryChecked().

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◆ getClassName() [2/2]

static tString CORE_Object::getClassName ( const tString & identityString )

inlinestaticinherited

return the class name of the object

Parameters

identityString the identity string of the object

Returns: the class name

◆ getDimension()

const tUSInt& FFTW_FFT::getDimension ( ) const

inlineinherited

get the dimension of the FFT

Returns: the dimension of the FFT

References FFTW_FFT::mDimension.

Referenced by FFTW_FFT::copy(), copy(), FFTW_MultiDFTs::getFFTsNumber(), getFFTsNumber(), FFTW_MultiDFTs::NewInstance(), FFTW_MultiDFTs::runFFT(), runFFT(), FFTW_MultiDFTs::setFFT(), setFFT(), FFTW_MultiDFTs::setFFTsNumber(), setFFTsNumber(), FFTW_MultiDFTs::setPlan(), setPlan(), and MATH_ElementaryMultiLevelsToeplitzMatrix::vectorProductInSpectralSpace().

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◆ getDoubleEpsilon()

static tDouble CORE_Object::getDoubleEpsilon ( )

inlinestaticinherited

get the epsilon value for tDouble type

Returns: the epsilon value for tDouble type

Referenced by CORE_Test::testType().

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◆ getDoubleInfinity()

static tDouble CORE_Object::getDoubleInfinity ( )

inlinestaticinherited

get the infinity value for tFloat type

Returns: the intinity value for tFloat type

◆ getEpsilon()

template<class T >

static T CORE_Object::getEpsilon ( )

inlinestaticinherited

get the epsilon value for T type

Returns: the epsilon value for T type

◆ getFFTsNumber()

virtual tUInt FFTW_MultiLevelsDFT::getFFTsNumber ( ) const

inlinevirtual

get the number of FFTs

Returns: the number of FFT

References FFTW_FFT::getDimension(), FFTW_FFT::getPlansNumber(), CORE_Array< T >::getSize(), tUIndex, and tUInteger.

Referenced by setFFT().

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◆ getFloatEpsilon()

static tFloat CORE_Object::getFloatEpsilon ( )

inlinestaticinherited

get the epsilon value for tFloat type

Returns: the epsilon value for tFloat type

Referenced by CORE_Test::testType().

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◆ getFloatInfinity()

static tFloat CORE_Object::getFloatInfinity ( )

inlinestaticinherited

get the infinity value for tFloat type

Returns: the intinity value for tFloat type

◆ getIdentityString()

tString CORE_Object::getIdentityString ( ) const

inlineinherited

return the identity string of the object of the form className_at_address

Returns: the identity string of the object

References CORE_Object::getClassName(), CORE_Object::pointer2String(), and tString.

Referenced by MATH_GaussLegendreIntegration::copy(), EMM_MultiScaleGrid::initialize(), CORE_Object::isInstanceOf(), CORE_Object::printObjectsInMemory(), MATH_Matrix::toString(), EMMG_SLPeriodicMultiScale::toString(), EMM_Stepper::toString(), EMM_AnisotropyDirectionsField::toString(), EMM_BlockMassMatrix::toString(), CORE_Object::toString(), EMM_Tensors::toString(), EMM_MultiScaleGrid::toString(), EMM_MatterField::toString(), EMM_Grid3D::toString(), and EMM_LandauLifschitzSystem::toString().

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◆ getInfinity()

template<class T >

static T CORE_Object::getInfinity ( )

inlinestaticinherited

get the infinity for T type

Returns: the infinity value for T type

◆ getLDoubleEpsilon()

static tLDouble CORE_Object::getLDoubleEpsilon ( )

inlinestaticinherited

get the epsilon value for tLDouble type

Returns: the epsilon value for tLDouble type

Referenced by CORE_Test::testType().

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◆ getLDoubleInfinity()

static tDouble CORE_Object::getLDoubleInfinity ( )

inlinestaticinherited

get the infinity value for tDouble type

Returns: the infinity value for tDouble type

◆ getLevels()

const CORE_UIndexArray& FFTW_MultiLevelsDFT::getLevels ( ) const

inline

get the levels size

Returns: the levels size

References mLevels.

Referenced by MATH_ElementaryMultiLevelsCircularTensorToeplitzMatrix::buildSpectralSpace(), copy(), and MATH_ElementaryMultiLevelsCircularTensorToeplitzMatrix::recoverCanonicalSpace().

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◆ getLevelsNumber()

const tUIndex& FFTW_MultiLevelsDFT::getLevelsNumber ( ) const

inline

get the number of levels

Returns: the number of levels

References CORE_Array< T >::getSize(), runFFT(), and tUIndex.

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◆ getMaxChar()

static tChar CORE_Object::getMaxChar ( )

inlinestaticinherited

get the max value for tChar type

Returns: the max value for tChar type

Referenced by CORE_Test::testType().

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◆ getMaxDouble()

static tDouble CORE_Object::getMaxDouble ( )

inlinestaticinherited

get the max value for tDouble type

Returns: the max value for tDouble type

Referenced by CORE_Test::testType().

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◆ getMaxFlag()

static tFlag CORE_Object::getMaxFlag ( )

inlinestaticinherited

get the max value for the tFlag type

Returns: the max value for the tFlag type

Referenced by CORE_Test::testType().

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◆ getMaxFloat()

static tFloat CORE_Object::getMaxFloat ( )

inlinestaticinherited

get the max value for tFloat type

Returns: the max value for tFloat type

Referenced by CORE_Test::testType().

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◆ getMaxIndex()

static tIndex CORE_Object::getMaxIndex ( )

inlinestaticinherited

get the max value for the array/vector indexing type

Returns: the max value for the array/vector indexing type

Referenced by CORE_Test::testType().

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◆ getMaxInt()

static tInt CORE_Object::getMaxInt ( )

inlinestaticinherited

get the max value for tInt type

Returns: the max value for tInt type

Referenced by MATSGN_FFT::fastFourierTransform3D_FFTW(), and CORE_Test::testType().

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◆ getMaxInteger()

static tInteger CORE_Object::getMaxInteger ( )

inlinestaticinherited

get the max value for the integer type

Returns: the max value for the integer type

Referenced by CORE_Test::testType().

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◆ getMaxLDouble()

static tLDouble CORE_Object::getMaxLDouble ( )

inlinestaticinherited

get the max value for tLDouble type

Returns: the max value for tLDouble type

Referenced by CORE_Test::testType().

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◆ getMaxLInt()

static tLInt CORE_Object::getMaxLInt ( )

inlinestaticinherited

get the max value for tLInt type

Returns: the max value for tLInt type

Referenced by CORE_Test::testType().

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◆ getMaxLLInt()

static tLLInt CORE_Object::getMaxLLInt ( )

inlinestaticinherited

get the max value for tULInt type

Returns: the max value for tULInt type

Referenced by CORE_Test::testType().

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◆ getMaxReal()

static tReal CORE_Object::getMaxReal ( )

inlinestaticinherited

get the max value for the real type

Returns: he max value for the real type

Referenced by EMM_MatterField::adimensionize(), and CORE_Test::testType().

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◆ getMaxSInt()

static tSInt CORE_Object::getMaxSInt ( )

inlinestaticinherited

get the max value for tSInt type

Returns: the max value for tSInt type

Referenced by CORE_Test::testType().

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◆ getMaxUChar()

static tUChar CORE_Object::getMaxUChar ( )

inlinestaticinherited

get the max value for tUChar type

Returns: the max value for tUChar type

Referenced by CORE_Test::testType().

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◆ getMaxUIndex()

static tUIndex CORE_Object::getMaxUIndex ( )

inlinestaticinherited

get the max value for difference the array/vector indexing type

Returns: the max value for difference the array/vector indexing type

Referenced by CORE_Vector< T >::addAfterIndices(), CORE_Vector< T >::search(), CORE_Test::testType(), CORE_Integer::toHexString(), and CORE_Integer::toString().

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◆ getMaxUInt()

static tUInt CORE_Object::getMaxUInt ( )

inlinestaticinherited

get the max value for tUInt type

Returns: the max value for tUInt type

Referenced by EMM_Array< tCellFlag >::loadFromFile(), EMM_RealField::loadFromFile(), and CORE_Test::testType().

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◆ getMaxUInteger()

static tUInteger CORE_Object::getMaxUInteger ( )

inlinestaticinherited

get the max value for the unsigned integer type

Returns: the max value for the unsigned integer type

Referenced by MATH_Pn::computeExtrenums(), EMM_MultiScaleGrid::computeLevelsNumber(), EMM_Input::restoreBackup(), MATH_P0::solve(), and CORE_Test::testType().

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◆ getMaxULInt()

static tULInt CORE_Object::getMaxULInt ( )

inlinestaticinherited

get the max value for tULInt type

Returns: the max value for tULInt type

Referenced by CORE_Test::testType().

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◆ getMaxULLInt()

static tULLInt CORE_Object::getMaxULLInt ( )

inlinestaticinherited

get the max value for tULLInt type

Returns: the max value for tULLInt type

Referenced by CORE_Test::testType().

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◆ getMaxUSInt()

static tUSInt CORE_Object::getMaxUSInt ( )

inlinestaticinherited

get the max value for tUSInt type

Returns: the max value for tUSInt type

Referenced by CORE_Test::testType().

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◆ getMemorySize()

virtual tULLInt FFTW_MultiLevelsDFT::getMemorySize ( ) const

inlinevirtual

return the memory size in byte

Returns: the memory size of the storage in bytes 1 Kb = 1024 bytes 1 Mb = 1024 Kb 1 Gb = 1024 Mb 1 Tb = 1024 Gb 1 Hb = 1024 Tb

Reimplemented from FFTW_FFT.

References FFTW_FFT::getMemorySize(), FFTW_ComplexArray::getMemorySize(), and null.

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◆ getMinChar()

static tChar CORE_Object::getMinChar ( )

inlinestaticinherited

get the min value for tChar type

Returns: the min value for tChar type

Referenced by CORE_Test::testType().

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◆ getMinDouble()

static tDouble CORE_Object::getMinDouble ( )

inlinestaticinherited

get the min value for tDouble type

Returns: the min value for tDouble type

Referenced by CORE_Test::testType().

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◆ getMinFlag()

static tFlag CORE_Object::getMinFlag ( )

inlinestaticinherited

get the min value for the tFlag type

Returns: the min value for the tFlag type

Referenced by CORE_Test::testType().

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◆ getMinFloat()

static tFloat CORE_Object::getMinFloat ( )

inlinestaticinherited

get the min value for tFloat type

Returns: the min value for tFloat type

Referenced by CORE_Test::testType().

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◆ getMinIndex()

static tIndex CORE_Object::getMinIndex ( )

inlinestaticinherited

get the min value for the array/vector indexing type

Returns: the min value for the array/vector indexing type

Referenced by CORE_Test::testType().

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◆ getMinInt()

static tInt CORE_Object::getMinInt ( )

inlinestaticinherited

get the min value for tInt type

Returns: the min value for tInt type

Referenced by CORE_Test::testType().

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◆ getMinInteger()

static tInteger CORE_Object::getMinInteger ( )

inlinestaticinherited

get the min value for the integer type

Returns: the minin value for the integer type

Referenced by CORE_Test::testType().

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◆ getMinLDouble()

static tLDouble CORE_Object::getMinLDouble ( )

inlinestaticinherited

get the min value for tLDouble type

Returns: the min value for tLDouble type

Referenced by CORE_Test::testType().

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◆ getMinLInt()

static tLInt CORE_Object::getMinLInt ( )

inlinestaticinherited

get the min value for tLInt type

Returns: the min value for tLInt type

Referenced by CORE_Test::testType().

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◆ getMinLLInt()

static tLLInt CORE_Object::getMinLLInt ( )

inlinestaticinherited

get the min value for tLLInt type

Returns: the min value for tLLInt type

Referenced by CORE_Test::testType().

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◆ getMinReal()

static tReal CORE_Object::getMinReal ( )

inlinestaticinherited

get the min value for the real type

Returns: the min value for the real type

Referenced by CORE_Test::testType().

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◆ getMinSInt()

static tSInt CORE_Object::getMinSInt ( )

inlinestaticinherited

get the min value for tSInt type

Returns: the min value for tSInt type

Referenced by CORE_Test::testType().

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◆ getMinUChar()

static tUChar CORE_Object::getMinUChar ( )

inlinestaticinherited

get the min value for tUChar type

Returns: the min value for tUChar type

Referenced by CORE_Test::testType().

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◆ getMinUIndex()

static tUIndex CORE_Object::getMinUIndex ( )

inlinestaticinherited

get the min value for difference the array/vector indexing type

Returns: the min value for difference the array/vector indexing type

Referenced by CORE_Test::testType().

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◆ getMinUInt()

static tUInt CORE_Object::getMinUInt ( )

inlinestaticinherited

get the min value for tUInt type

Returns: the min value for tUInt type

Referenced by CORE_Test::testType().

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◆ getMinUInteger()

static tUInteger CORE_Object::getMinUInteger ( )

inlinestaticinherited

get the min value for the unsigned integer type

Returns: the min value for the unsigned integer type

Referenced by CORE_Test::testType().

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◆ getMinULInt()

static tULInt CORE_Object::getMinULInt ( )

inlinestaticinherited

get the min value for tULInt type

Returns: the min value for tULInt type

Referenced by CORE_Test::testType().

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◆ getMinULLInt()

static tULLInt CORE_Object::getMinULLInt ( )

inlinestaticinherited

get the min value for tULLInt type

Returns: the min value for tULLInt type

Referenced by CORE_Test::testType().

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◆ getMinUSInt()

static tUSInt CORE_Object::getMinUSInt ( )

inlinestaticinherited

get the min value for tUSInt type

Returns: the min value for tUSInt type

Referenced by CORE_Test::testType().

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◆ getOut()

static SP::CORE_Out CORE_Object::getOut ( )

inlinestaticinherited

get the output

Returns: the shared pointer to the output stream

References CORE_Object::OUT.

◆ getPlans() [1/2]

const SV::FFTW_Plan& FFTW_FFT::getPlans ( ) const

inlineprotectedinherited

get the plans of the FFT

Returns: the list of the plans as a vector

References FFTW_FFT::mPlans.

Referenced by FFTW_FFT::copy(), FFTW_MultiDFTs::runFFT(), runFFT(), FFTW_MultiDFTs::setFFT(), and setFFT().

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◆ getPlans() [2/2]

SV::FFTW_Plan& FFTW_FFT::getPlans ( )

inlineprotectedinherited

get the plans of the FFT

Returns: the list of the plans as a vector

References FFTW_FFT::mPlans, FFTW_FFT::setPlan(), and tUIndex.

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◆ getPlansNumber()

tUIndex FFTW_FFT::getPlansNumber ( ) const

inlineprotectedinherited

get the number of plans

Returns: the number of plans

Referenced by FFTW_MultiDFTs::getFFTsNumber(), and getFFTsNumber().

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◆ getPointerAddress()

tString CORE_Object::getPointerAddress ( ) const

inlineinherited

return the identity string of the object

Returns: the identity string of the object

References CORE_Object::pointer2String().

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◆ getPointsNumber()

const tUIndex& FFTW_FFT::getPointsNumber ( ) const

inlineinherited

get the number of points

Returns: the number of points

References FFTW_FFT::getSize(), FFTW_FFT::mPointsNumber, and tUIndex.

Referenced by FFTW_FFT::copy(), getProjectionsNumber(), FFTW_MultiDFTs::getSize(), getSize(), FFTW_MultiDFTs::operator()(), operator()(), FFTW_MultiDFTs::runFFT(), runFFT(), FFTW_MultiDFTs::setFFT(), FFTW_MultiDFTs::setPlan(), and MATH_ElementaryMultiLevelsToeplitzMatrix::vectorProductInSpectralSpace().

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◆ getProjectionsNumber()

tUIndex FFTW_MultiLevelsDFT::getProjectionsNumber ( const tUInt & l ) const

inlineprivate

return the number of projection for level l

Parameters

l	: index of the level

Returns: $\displaystyle \prod_{u=0,u!=l}^{u=L-1} N_u$

References computeProjection(), computeProjectionIndex(), FFTW_FFT::getPointsNumber(), nextIndices(), project(), recover(), setPlan(), tFFTWComplex, and tUIndex.

Referenced by runFFT().

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◆ getRealEpsilon()

static tReal CORE_Object::getRealEpsilon ( )

inlinestaticinherited

get the eps which is the difference between 1 and the least value greater than 1 that is representable.

Returns: the eps which is the difference between 1 and the least value greater than 1 that is representable.

Referenced by MATH_P4::solveP4De(), and CORE_Test::testType().

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◆ getRealInfinity()

static tReal CORE_Object::getRealInfinity ( )

inlinestaticinherited

get the infinity value

Returns: the inifinity value for the real type

Referenced by BrentFunction::BrentFunction(), EMM_OperatorsTest::compareDiscretizedData(), EMM_IterativeTimeStep::EMM_IterativeTimeStep(), EMM_SLElementaryDemagnetizedMatrix::Kxy(), NRFunction::NRFunction(), EMM_PolynomialInterpolationTimeStep::optimizeTimeFunction(), and CORE_Test::testType().

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◆ getSharedPointer() [1/2]

void CORE_Object::getSharedPointer ( SP::CORE_Object & p )

inlineinherited

get the shared pointer of this class into p

Parameters

p	: shared pointer of the class This

Referenced by CORE_Map< Key, Value >::getSharedPointer(), CORE_ArrayList< tString >::getSharedPointer(), EMM_Array< tCellFlag >::getSharedPointer(), CORE_Array< tCellFlag >::getSharedPointer(), CORE_MorseArray< tUChar >::getSharedPointer(), CORE_Vector< T >::getSharedPointer(), and CORE_Object::printObjectsInMemory().

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◆ getSharedPointer() [2/2]

void CORE_Object::getSharedPointer ( SPC::CORE_Object & p ) const

inlineinherited

get the shared pointer of this class into p

Parameters

p	: shared pointer of the class This

◆ getSize() [1/2]

virtual tUIndex FFTW_MultiLevelsDFT::getSize ( CORE_UIndexArray & levels ) const

inlinevirtual

get the size of the FFT in multi-levels form

Parameters

levels levels of the FFT

Returns: the points number

Implements FFTW_FFT.

References CORE_Array< T >::copy(), and FFTW_FFT::getPointsNumber().

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◆ getSize() [2/2]

const tUIndex& FFTW_MultiLevelsDFT::getSize ( const tUInt & l ) const

inline

get the size of the levels at index l

Parameters

l	index of the level

Returns: the size of the level at index l

◆ getThread()

static CORE_Thread& CORE_Object::getThread ( )

inlinestaticinherited

get the profilier

Returns: the profiler

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◆ getTypeName()

template<class T >

static tString CORE_Object::getTypeName ( )

inlinestaticinherited

get type name

Returns: the type name of the class

References tString.

◆ getValues() [1/2]

const tFFTWComplex* FFTW_FFT::getValues ( ) const

inlineinherited

get the values of the FFT

Returns: the pointer to the first complex of the values

Referenced by runFFT(), FFTW_MultiDFTs::setFFT(), FFTW_MultiDFTs::setPlan(), and setPlan().

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◆ getValues() [2/2]

tFFTWComplex* FFTW_FFT::getValues ( )

inlineinherited

get the values of the FFT

Returns: the pointer to the first complex of the values

◆ getValuesNumber()

const tUIndex& FFTW_FFT::getValuesNumber ( ) const

inlineinherited

get the number of values

Returns: the size of the array

References FFTW_ComplexArray::getSize().

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◆ is32Architecture()

static tBoolean CORE_Object::is32Architecture ( )

inlinestaticinherited

return true if the machine is a 32 bits machine

Returns: true is the computing is done in a 32 bits machine

References CORE_Object::pointer2String(), CORE_Object::printObjectsInMemory(), and tString.

Referenced by CORE_Test::testType().

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◆ is64Architecture()

static tBoolean CORE_Object::is64Architecture ( )

inlinestaticinherited

return true if the machine is a 64 bits machine

Returns: true is the computing is done in a 64 bits machine

Referenced by EMM_VTK::getVTKType(), and CORE_Test::testType().

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◆ isInstanceOf() [1/2]

template<class T >

tBoolean CORE_Object::isInstanceOf ( ) const

inlineinherited

test if the clas T is an instance of this class

Returns: true if the object is an instance of T

References null.

Referenced by MATH_ToeplitzTest::toeplitzTest().

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◆ isInstanceOf() [2/2]

tBoolean CORE_Object::isInstanceOf ( const tString & name ) const

inlineinherited

test if the object is an instance of className

Parameters

name	name of the class

Returns: true if the object is an instance of class Name

References CORE_Object::getIdentityString().

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◆ isMemoryChecked()

static const tBoolean& CORE_Object::isMemoryChecked ( )

inlinestaticinherited

get if the memory checking is used

Returns: true: if the memory checking is used.

References CORE_Object::getClassName(), CORE_Object::mIsMemoryTesting, and tString.

Referenced by main().

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◆ multiply()

virtual void FFTW_FFT::multiply ( const FFTW_FFT & Y )

inlinevirtualinherited

multiply this by the DFTs Y

Parameters

Y	: the FFT to multiply

References FFTW_FFT::getArray(), FFTW_FFT::runFFT(), and tUIndex.

Referenced by FFTW_FFT::operator*=(), and MATH_GlobalMultiLevelsPolynomialToeplitzMatrix::vectorProductInSpectralSpace().

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◆ New()

static SP::FFTW_MultiLevelsDFT FFTW_MultiLevelsDFT::New ( )

inlinestatic

create an array of Discrete fast Fourier Transform of size dim

References FFTW_MultiLevelsDFT().

Referenced by FFTW_ClassFactory::NewInstance(), and NewInstance().

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◆ NewInstance()

virtual SP::FFTW_FFT FFTW_MultiLevelsDFT::NewInstance ( ) const

inlinevirtual

retun a new instance of this

Returns: a new instance of this

Implements FFTW_FFT.

References New().

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◆ nextIndices()

void FFTW_MultiLevelsDFT::nextIndices	(	const tUIndex &	nLevels,
		const tUIndex *	levels,
		const tUIndex &	l,
		tUIndex *	I
	)		const

private

compute the next indices of the next projection to level l

Parameters

nLevels	number of levels
levels	number of points by level
l	: the projection level in [0,nLevels[
I	: the index of next projected point

compute next index follows the algorithm:

1. : u=0
2. : if u=L stop.
3. : I[u]++;
4. : if then I[u]=0 and u:=u+1. goto 2.

References tUIndex.

Referenced by getProjectionsNumber(), and runFFT().

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◆ operator()() [1/2]

const tFFTWComplex& FFTW_MultiLevelsDFT::operator()	(	const tUSInt &	k,
		const tUIndex &	i
	)		const

inline

get the complex value at level index i for coordinate k

Parameters

k	coordinate in [0,getDimension()[
i	level index of the element : i=(i_0+N_0(i_1+N_1(i_2+...))) i_l in [0,N_l[

References FFTW_FFT::getPointsNumber().

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◆ operator()() [2/2]

tFFTWComplex& FFTW_MultiLevelsDFT::operator()	(	const tUSInt &	k,
		const tUIndex &	i
	)

inline

get the complex value at level index i for coordinate k

Parameters

k	coordinate in [0,getDimension()[
i	level index of the element

References clear(), copy(), and FFTW_FFT::getPointsNumber().

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◆ operator*=()

FFTW_FFT& FFTW_FFT::operator*= ( const FFTW_FFT & Y )

inlineinherited

multiply two DFTs This *= Y;

Parameters

Y	multiplication DFTs

Returns: this

References FFTW_FFT::clear(), FFTW_FFT::copy(), and FFTW_FFT::multiply().

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◆ operator[]() [1/2]

const tFFTWComplex& FFTW_FFT::operator[] ( const tUIndex & i ) const

inlineinherited

get the complex value at index i

Parameters

i	index of the element

◆ operator[]() [2/2]

tFFTWComplex& FFTW_FFT::operator[] ( const tUIndex & i )

inlineinherited

get the complex value at index i

Parameters

i	index of the element

◆ out()

static CORE_Out& CORE_Object::out ( )

inlinestaticinherited

get the output

Returns: the output stream

Referenced by EMM_Matter::adimensionize(), EMM_DisplacementFVMOperator::backup(), EMM_DisplacementOperator::backup(), MATH_ElementaryMultiLevelsToeplitzMatrix::buildSpectralVectorProjector(), EMM_Test::caseTest(), EMM_Test::caseTests(), EMM_MatterField::computeAnisotropyDirectionsField(), EMM_OptimalTimeStep::computeOptimalTimeStep(), MATH_MultiLevelsToeplitzMatrix::copy(), CORE_Exception::CORE_Exception(), EMM_MatterField::createAnisotropyOperator(), CORE_Run::createIO(), EMM_ElementaryTest::defaultBackupTest(), EMM_ElementaryTest::defaultTest(), MATH_MultiLevelsFFTToeplitzMatrix::diagonalize(), EMM_DisplacementFVMOperator::discretize(), EMM_MagnetostrictionOperator::discretize(), EMM_DisplacementFEMOperator::discretize(), EMM_4SymmetricTensors::doubleDot(), EMM_4Tensors::doubleDotCrossDoubleDotScalar(), EMM_TensorsTest::doubleDotCrossDoubleDotScalarTests(), EMM_4Tensors::doubleDotCrossProduct(), EMM_TensorsTest::doubleDotCrossProductTests(), EMM_4Tensors::doubleDotCrossSquaredScalar(), EMM_TensorsTest::doubleDotCrossSquaredScalarTests(), EMM_4Tensors::doubleDotProduct(), EMM_TensorsTest::doubleDotProductTests(), EMM_DisplacementWaveTest::elasticWaveTest(), EMM_Test::elementaryTests(), FFTW_Test::fftwTutorial(), MATH_IntegrationTest::gaussLegendreTest(), EMM_MagnetostrictionTest::HComputingTest(), EMM_DemagnetizedPeriodicalTest::HTest(), EMMH_HysteresisTest::hysteresisDefaultCycleTest(), EMM_TensorsTest::initializationTests(), EMM_MultiScaleGrid::initialize(), EMM_MultiScaleSDGrid::initialize(), EMM_MatterField::loadFromANIFile(), EMM_AnisotropyDirectionsField::loadFromFile(), EMM_Matter::loadFromFile(), EMM_Grid3D::loadFromGEOFile(), EMM_MatterField::loadFromLOCFile(), EMM_Array< tCellFlag >::loadFromStream(), EMM_Matter::loadFromStream(), EMM_Matter::loadMattersFromFile(), EMM_Run::loadSystemFromOptions(), EMM_ElementaryTest::magnetostrictionBackupTest(), CORE_Run::make(), EMMH_Run::makeHysteresis(), EMM_Run::makeRun(), CORE_Run::makeType(), EMM_ElementaryTest::optionsTest(), MATH_PolynomialTest::P4Tests(), EMM_Test::primaryTests(), EMM_LandauLifschitzSystem::printLog(), CORE_Run::printOptions(), EMM_2PackedSymmetricTensors::product(), EMMG_SLDemagnetizedOperator::projectionOnSpectralSpace(), CORE_Run::readOptionsFromCommandLine(), CORE_Test::readVectorTest(), EMM_DemagnetizedPeriodicalTest::relaxationTest(), EMM_DisplacementFVMOperator::restore(), EMM_DisplacementOperator::restore(), EMM_Input::restoreBackup(), EMMH_Hysteresis::run(), EMM_Output::save(), EMM_AnisotropyDirectionsField::saveToFile(), EMM_MatterField::saveToFile(), EMM_Grid3D::saveToGEOFile(), CORE_IOTest::searchTest(), EMMH_Hysteresis::setInitialMagnetizationField(), MATH_MultiLevelsToeplitzMatrix::setLevels(), EMM_4SymmetricTensors::squaredDoubleDot(), EMM_4Tensors::squaredDoubleDotCrossScalar(), EMM_TensorsTest::squaredDoubleDotCrossScalarTests(), EMM_4Tensors::squaredDoubleDotScalar(), EMM_TensorsTest::squaredDoubleDotScalarTests(), EMM_TensorsTest::squaredDoubleDotTests(), EMM_MatterTest::testAdimensionize(), EMM_MatterTest::testANIFile(), CORE_Test::testComplex(), CORE_Test::testDateWeek(), FFTW_Test::testDFT(), EMM_MatterTest::testIO(), EMM_ODETest::testODE(), CORE_Test::testOut(), CORE_Test::testReal(), EMM_FieldTest::testRealArray(), EMM_Grid3DTest::testSegment(), EMM_Grid3DTest::testThinSheet(), CORE_Test::testTime(), CORE_Test::testType(), MATH_FullMatrix::toString(), EMM_DemagnetizedPeriodicalTest::xyPeriodicalCubeSDGTest(), and EMM_DemagnetizedPeriodicalTest::xyPeriodicalSheetSDGTest().

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◆ pointer2String()

tString CORE_Object::pointer2String ( const void * obj )

staticinherited

return the string representation of a pointer

Parameters

obj	: oject to get the string pointer

Returns: the string pointer of the object

References tString.

Referenced by CORE_Object::CORE_Object(), CORE_Object::getIdentityString(), CORE_Object::getPointerAddress(), CORE_Object::is32Architecture(), and CORE_Object::~CORE_Object().

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◆ printObjectsInMemory() [1/2]

void CORE_Object::printObjectsInMemory ( ostream & f )

staticinherited

print object in memory

Parameters

f	: output to print the objects in memory

References CORE_Object::getIdentityString(), CORE_Object::getSharedPointer(), CORE_Object::mIsMemoryTesting, CORE_Object::mObjects, and tInteger.

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◆ printObjectsInMemory() [2/2]

static void CORE_Object::printObjectsInMemory ( )

inlinestaticinherited

print object in memory in the standart output

Referenced by CORE_Object::is32Architecture(), and main().

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◆ project() [1/2]

void FFTW_MultiLevelsDFT::project	(	const tUIndex &	nLevels,
		const tUIndex *	levels,
		const tUIndex &	l,
		const tUIndex &	p,
		const tFFTWComplex *	V,
		tFFTWComplex *	A
	)		const

private

project the values mValues to the working array A for plan at level l and coordinate k

Parameters

nLevels	number of levels
levels	number of points by level
l	index of the level in [0,nLevels[
p	index of the projection in [0,getProjectionsNumber(l)[
V	the values of k-coordinate
A	the projection vector of size mLevels[l]

compute $\forall i in [0,N_l[, A[i]=V[i_0+i.\alpha]$ $ i_0 $ and $\alpha$ given by computeProjection(nLevels,levels,l,p,i0,alpha)

References computeProjection(), tFFTWComplex, and tUIndex.

Referenced by getProjectionsNumber(), and runFFT().

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◆ project() [2/2]

void FFTW_MultiLevelsDFT::project	(	const tUIndex &	nLevels,
		const tUIndex *	levels,
		const tUIndex *	I,
		const tUIndex &	step,
		const tUIndex &	N,
		const tFFTWComplex *	V,
		tFFTWComplex *	Y
	)		const

private

project the V values to Y from indices I with step

Parameters

nLevels	number of levels
levels	number of points by level
I	: the index of first projected point
step	the number of points between 2 projected points
N	the number of porejected points
V	the values to project
Y	the projected values

compute $\forall i in [0,N_l[, Y[i]=V[i_0+i.step]$ where $ i_0=I[0]+N[0]*(I[1]+N[1]*(I[2]+...)) $

References tFFTWComplex, and tUIndex.

◆ recover() [1/2]

void FFTW_MultiLevelsDFT::recover	(	const tUIndex &	nLevels,
		const tUIndex *	levels,
		const tUIndex &	l,
		const tUIndex &	p,
		const tFFTWComplex *	A,
		tFFTWComplex *	V
	)		const

private

recover the values V from the working array A for plan l and coordinate k

Parameters

nLevels	number of levels
levels	number of points by level
l	index of the level in [0,nLevels[
p	index of the projection in [0,getProjectionsNumber(l)[
A	the projection vector of size mLevels[l]
V	the values of k-coordinate

compute $\forall i in [0,N_l[, V[i_0+i.\alpha] =A[i]$ $ i_0 $ and $\alpha$ given by computeProjection(nLevels,levels,l,p,i0,alpha)

References computeProjection(), tFFTWComplex, and tUIndex.

Referenced by getProjectionsNumber(), and runFFT().

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◆ recover() [2/2]

void FFTW_MultiLevelsDFT::recover	(	const tUIndex &	nLevels,
		const tUIndex *	levels,
		const tUIndex *	I,
		const tUIndex &	step,
		const tUIndex &	N,
		const tFFTWComplex *	Y,
		tFFTWComplex *	V
	)		const

private

recover the V values from Y from indices I with step

Parameters

nLevels	number of levels
levels	number of points by level
I	: the index of first projected point
step	the number of points between 2 projected points
N	the number of porejected points
Y	the projected values
V	the relevant values

compute $\forall i in [0,N_l[, V[i_0+i.step] =Y[i]$ where $ i_0=I[0]+N[0]*(I[1]+N[1]*(I[2]+...)) $

References tFFTWComplex, and tUIndex.

◆ resetOut()

static void CORE_Object::resetOut ( )

inlinestaticinherited

reset the output stream

Referenced by run().

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◆ resetThread()

static void CORE_Object::resetThread ( )

inlinestaticinherited

reset the output stream

Referenced by run().

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◆ runFFT()

void FFTW_MultiLevelsDFT::runFFT ( const tUIndex & f )

virtual

run the plan

Parameters

f	:index of the multi-levels FFT to execute in [0,getFFTsNumber()[

Running a multi level FFT consists of a vector V of size N.D :

for all l in [0,L[ do loop
- $\displaystyle P =\prod_{u=0,u \neq l }^{u=L-1} N_u$
- for all k in [0,D[ do loop
  - for each thread t in [0,T_l [ do parallel loop
    - execute projections of size
    - get the values Y to transform in
    - project (project() method) the vector V to Y corresponding to the projection p : extract all the indices of V to Y.
      - compute $\forall i in [0,L-1[, P_i$ such that $p=P_0+P_1.N_1+...+P_{l-1}.N_0....N_{l-2}+ P_{l}.N_0....N_{l}+...+P_{L-2}.N_0....N_{L-2}$
      - compute $i_0= _0+P_1*N_0+....+P_{l-1}*N_0*..N_{l-2}+P_{l}*N_0*..N_{l-2}*N_{l-1}*N_{l}+...+P_{L-2}*N_0*..N_{L-2}$
      - compute $\alpha = \displaystyle \prod_{i=0}^{i=l-1} N_i$
    - compute $\tilde Y=DFT_{N_l}(Y)$
    - recover the value V from Y :

Implements FFTW_FFT.

References computeProjectionIndex(), FFTW_FFT::getDimension(), FFTW_FFT::getPlans(), FFTW_FFT::getPointsNumber(), getProjectionsNumber(), CORE_Array< T >::getSize(), FFTW_FFT::getValues(), mLevels, mThreadsNumber, nextIndices(), OMP_GET_THREAD_ID, OMP_PARALLEL_PRIVATE_SHARED_DEFAULT, project(), recover(), tBoolean, tFFTWComplex, tUIndex, tUInteger, and tUSInt.

Referenced by getLevelsNumber().

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◆ setDimension()

virtual void FFTW_FFT::setDimension ( const tUSInt & n )

inlinevirtualinherited

set the dimension of a point

Parameters

n	dimension of a point

References FFTW_FFT::setFFT(), FFTW_FFT::setFFTsNumber(), FFTW_FFT::setSize(), tBoolean, tSInt, tUInt, and tUSInt.

Referenced by setLevels(), and FFTW_MultiDFTs::setSize().

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◆ setFFT() [1/3]

void FFTW_MultiLevelsDFT::setFFT	(	const tUInt &	f,
		const tSInt &	dir,
		const tBoolean &	isInverse,
		const tBoolean &	optimize
	)

virtual

set the FFT at index f

Parameters

f	: index of the FFT in [0,getFFTsNumber()[
dir	direction of the plan in {FFTW_Plan::BACKWARD,FFTW_PLAN::FORWARD}
isInverse	compute inverse MultiLevelsDFT if true
optimize	trie if the plan is optimized

Implements FFTW_FFT.

References FFTW_FFT::getDimension(), getFFTsNumber(), FFTW_FFT::getPlans(), CORE_Array< T >::getSize(), CORE_Object::getThread(), CORE_Thread::getThreadsNumber(), mLevels, mThreadsNumber, FFTW_Plan::New(), setFFTsNumber(), tFFTWComplex, tUIndex, tUInt, tUInteger, and tUSInt.

Referenced by setFFTsNumber().

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◆ setFFT() [2/3]

virtual void FFTW_MultiLevelsDFT::setFFT	(	const tUInt &	f,
		const tSInt &	dir,
		const tBoolean &	isInverse
	)

inlinevirtual

set the FFT at index f

Parameters

f	: index of the plan in [0,getFFTsNumber()[
dir	direction of the plan in {FFTW_Plan::BACKWARD,FFTW_PLAN::FORWARD}
isInverse	compute inverse FFT if true

Reimplemented from FFTW_FFT.

References FFTW_FFT::setFFT().

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◆ setFFT() [3/3]

virtual void FFTW_MultiLevelsDFT::setFFT	(	const tUInt &	f,
		const tBoolean &	isInverse
	)

inlinevirtual

set the FFT at index f

Parameters

f	: index of the plan in [0,getFFTsNumber()[
isInverse	compute inverse FFT if true

Reimplemented from FFTW_FFT.

References FFTW_FFT::setFFT().

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◆ setFFTsNumber()

virtual void FFTW_MultiLevelsDFT::setFFTsNumber ( const tUInt & n )

inlinevirtual

set the number of FFTs

Parameters

n	the number of FFts

compute the necessary plans number

Implements FFTW_FFT.

References FFTW_FFT::getDimension(), CORE_Array< T >::getSize(), setFFT(), FFTW_FFT::setPlansNumber(), tBoolean, tSInt, tUIndex, tUInt, and tUInteger.

Referenced by setFFT().

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◆ setIsMemoryChecked()

static void CORE_Object::setIsMemoryChecked ( const tBoolean & v )

inlinestaticinherited

set if the memory checking is used

Parameters

v	: true to check memory

Referenced by main().

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◆ setLevels() [1/2]

tUIndex FFTW_MultiLevelsDFT::setLevels	(	const tUInt &	nLevels,
		const tUIndex	levels[],
		const tUSInt &	dim
	)

set the levels of the DFTs

Parameters

nLevels	the number of levels
levels	the size of the level i in [0,nLevels[
dim	dimension of each element of level 0

Returns: the size of values for each coordinates

References allocatePlanValues(), CORE_Object::getThread(), CORE_Thread::getThreadsNumber(), mLevels, mThreadsNumber, FFTW_FFT::setDimension(), FFTW_FFT::setPointsNumber(), CORE_Array< T >::setSize(), tUIndex, tUInt, and tUInteger.

Referenced by copy(), setLevels(), and setSize().

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◆ setLevels() [2/2]

virtual tUIndex FFTW_MultiLevelsDFT::setLevels	(	const CORE_UIndexArray &	levels,
		const tUSInt &	dim
	)

inlinevirtual

set the levels of the DFTs

Parameters

levels	the size of the level i in [0,levels.getSize()[
dim	dimension of each element of level 0

References CORE_Array< T >::getSize(), and setLevels().

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◆ setOut()

static void CORE_Object::setOut ( SP::CORE_Out out )

inlinestaticinherited

set the output stream

Parameters

out	: the shared pointer to the new output stream

References null.

◆ setPlan()

void FFTW_MultiLevelsDFT::setPlan	(	const tUIndex &	i,
		FFTW_Plan &	p
	)

protectedvirtual

create the values for the plan at index i

Parameters

i	: index of the plan
p	value of the plan

find the indices f,l,k,t such that $i = f \cdot \left (\sum_{u=0}^{u<L} T_u \right ) \cdot D + l \cdot \left ( \sum_{u=0}^{u<l} T_u \right ) \cdot D + k \cdot T_l + t$
create a DFT with
- size equals to
- values from getValues() whose first index is $l \cdot \left ( \sum_{u=0}^{u<l} T_u . N_u \right ) \cdot D + k \cdot T_l . N_l +t \cdot N_l$
- number of threads is 1 if or the max nuber of threads if