This class describes the linear demagnetized operator of the landau lifschitz system EMM_LandauLifschitzSystem. More...

#include <EMMG_SLDemagnetizedOperator.h>

Inheritance diagram for EMMG_SLDemagnetizedOperator:

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Collaboration diagram for EMMG_SLDemagnetizedOperator:

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Public Member Functions
virtual tULLInt	getMemorySize () const
	return the memory size in bytes More...

virtual SP::MATSGN_FFT	NewFFTInstance () const
	void create an FFT class for the demagnetized toeplitz matrix computation More...

virtual tUSInt	getDataFieldsNumber () const
	get the number of field used in the operator More...

virtual tBoolean	getDataFieldSpace (const tUSInt &index, tString &dataName, tFlag &supportType, tString &dFieldType, tUIndex &n, tUSInt &dim) const
	get the data field at index for saving data in vtk,txt,... files. More...

virtual tBoolean	getDataField (const tUSInt &index, tString &dataName, tUIndex &n, tUSInt &dim, const float *&values) const
	get the data field at index for saving data in vtk,txt,... files. More...

virtual tBoolean	getDataField (const tUSInt &index, tString &dataName, tUIndex &n, tUSInt &dim, const double *&values) const
	get the data field at index for saving data in vtk,txt,... files. More...

virtual tBoolean	getDataField (const tUSInt &index, tString &dataName, tUIndex &n, tUSInt &dim, const long double *&values) const
	get the data field at index for saving data in vtk,txt,... files. More...

virtual tBoolean	discretize (const EMM_LandauLifschitzSystem &system)
	discretize the operator depending on method More...

virtual void	computeMagneticExcitationField (const EMM_RealArray &sigma, const EMM_RealField &M, EMM_RealField &H) const
	compute the normalized excitation magnetic field at M More...

void	dot (const tUSInt &dim, const tReal M, tReal H)
	dot method used in multi scale grid More...

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

void	setMultiScaleGridName (const tString &name)
	set the multi scale grid name to use More...

void	setStorage (const tString &storage)
	set the storage of the toeplitz matrix More...

void	setLevelsNumber (const tUInteger &l)
	set the levels number in case of periodicicity of the domain More...

void	setZonalLevelsNumber (const tInteger &l)
	set the levels number in case of periodicicity of the domain More...

void	setIsLevelsNumberAutoComputed (const tBoolean &v)
	if the levels number is automatically computed More...

EMM_MultiScaleGrid &	getMultiScaleGrid ()
	get the multi scale grid More...

const tString &	getMultiScaleGridName () const
	get the multi scale grid name to use More...

const tBoolean &	isLevelsNumberAutoComputed () const
	get if the levels number is automatically computed More...

const tUInteger &	getLevelsNumber () const
	get the levels number in case of periodicicity of the domain More...

const MATH_MultiLevelsToeplitzMatrix &	getToeplitzMatrix () const
	get the toeplitz matrix More...

virtual void	computeMagneticExcitationField (const tUIndex &nCells, const tDimension &dim, const tReal sigmaM, tReal H) const
	compute the excitation magnetic field at M More...

virtual tBoolean	isAffine () const
	return true if the operator is either constant or linear More...

virtual tBoolean	isGradientComputationable () const
	return true if the gradient of the magnetic excitation is computationable More...

virtual tBoolean	resetToInitialState (const EMM_LandauLifschitzSystem &system)
	reset the data of the operator to its initial step t=0 More...

virtual tBoolean	computeFieldsAtTime (const tReal &t, const tFlag &order, const EMM_RealArray &sigma, const EMM_RealField &dM_dt0, const EMM_RealField &M0)
	compute the fields of operator at time More...

virtual tBoolean	updateAtNextTimeStep (const tReal &dt, const EMM_RealArray &sigma, const EMM_RealField &Mt)
	update the data of operator at next time step More...

virtual tBoolean	computeMagneticExcitationFieldGradient (const EMM_RealArray &sigma, const EMM_RealField &M, const EMM_RealField &D, EMM_RealField &gradH) const
	compute the gradient of the magnetic excitation field at M in the direction D More...

virtual tReal	computeEnergy (const tReal &t, const EMM_RealArray &sigma, const EMM_RealField &Mt, EMM_RealField &W) const
	compute the energy E of the operator More...

tReal	computeMagneticExcitationFieldAndEnergy (const tReal &t, const EMM_RealArray &sigma, const EMM_RealField &Mt, EMM_RealField &Ht) const
	compute the energy of the operator More...

virtual tString	getName () const
	return an human reading name of the operator More...

const tBoolean &	isCubicVolume () const
	return the true if the element is cubic More...

const tReal &	getElementVolume () const
	return the adimensionized volume of the element More...

virtual void	adimensionize (const tReal &Le, const tReal &Ms, const tReal &T, const tReal &L)
	adimensionize the operator More...

virtual tBoolean	getDataFieldSpace (const tUSInt &index, tString &dataName, tFlag &supportType, tString &dFieldType, tUIndex &n, tDimension &dim) const
	get the data field at index for saving data in vtk,txt,... files. More...

virtual tBoolean	getDataField (const tUSInt &index, tString &dataName, tUIndex &n, tDimension &dim, const float *&values) const
	get the data field at index for saving data in vtk,txt,... files. More...

virtual tBoolean	getDataField (const tUSInt &index, tString &dataName, tUIndex &n, tDimension &dim, const double *&values) const
	get the data field at index for saving data in vtk,txt,... files. More...

virtual tBoolean	getDataField (const tUSInt &index, tString &dataName, tUIndex &n, tDimension &dim, const long double *&values) const
	get the data field at index for saving data in vtk,txt,... files. More...

virtual tBoolean	backup (const tString &prefix, const tString &suffix, const tString &ext) const
	backup of the operator data into file(s) used for restoring More...

virtual tBoolean	restore (const EMM_LandauLifschitzSystem &system, const tString &prefix, const tString &suffix, const tString &ext)
	restore the operator data from file(s) 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...

Static Public Member Functions
static SP::EMMG_SLDemagnetizedOperator	New ()
	create a demagnetized operator 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 tReal	Mu0 =4M_PI1e-07

static const tReal	Gamma =-1.7e11

static const tDimension	X =0

static const tDimension	Y =1

static const tDimension	Z =2

static const tReal	NULL_VALUE [] ={0,0,0}

Protected Member Functions
	EMMG_SLDemagnetizedOperator (void)
	create More...

virtual	~EMMG_SLDemagnetizedOperator (void)
	destroy More...

virtual tReal	computeEnergyWithMagneticExcitation (const tReal &t, const EMM_RealArray &sigma, const EMM_RealField &Mt, const EMM_RealField &Ht) const
	compute the energy E of the operator More...

virtual void	toDoAfterThisSetting ()
	method called after the setting of the shared pointer this method can only be called once. More...

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

Private Member Functions
	SP_OBJECT (EMMG_SLDemagnetizedOperator)

tBoolean	projectionOnSpectralSpace (const tUIndex &Nx, const tUIndex &Ny, const tUIndex &Nz, MATSGN_ComplexArray &C)

void	localAssembly (const EMM_IndexArray &iTab, const EMM_IndexArray &jTab, const EMM_IndexArray &kTab, MATSGN_ComplexArray &C_loc2)

void	product (const tUInteger &nx, const tUInteger &ny, const tUInteger &nz, const tUSInt &dim, const tReal M, const tFlag &fftMethod, MATSGN_ComplexArray &fftArray, MATSGN_ComplexArray &Hwork, tReal H) const
	compute ani field Cani*M at each point More...

void	computeWeightM (const EMM_RealArray &sigma, const EMM_RealField &M, EMM_RealField &weightM) const

Private Attributes
SP::MATSGN_FFT	mFFT

tFlag	mFFTmethod

tUSInt	mLD

MATSGN_ComplexArray	mMatrix

tUIndex	mNx

tUIndex	mNy

tUIndex	mNz

EMMG_RealField	mWM

MATSGN_ComplexArray	mFFTarray

MATSGN_ComplexArray	mHwork

SP::EMMG_SLPeriodicMultiScale	mMultiScaleGrid

Detailed Description

This class describes the linear demagnetized operator of the landau lifschitz system EMM_LandauLifschitzSystem.

The excitation magnetic field corresponding to the demagnetized field verifies: $H_d(M)=-grad(div(M \star G))$ where $G(X,Y)=-\frac{1}{4\pi |X-Y|}$ .

This relation gives: $\displaystyle H_d(M)(X)=grad_X\left (div_X \left (\int_\Omega M(Y).\frac{1}{4\pi|X-Y|}dY\right ) \right )$ .

On the domain, we have

$H_d(M)= \displaystyle\frac{1}{|\Omega|} \int_\Omega grad_X\left(div_X \left ( \int_\Omega M(Y).\frac{1}{4\pi|X-Y|}dY\right ) \right )dX$

on the cell i, we put $H_d(M)= \displaystyle \frac{1}{|\Omega_i|} \int_{\Omega_i} grad_X\left(div_X \left ( \sum_j \int_{\Omega_j} M(Y).\frac{1}{4\pi|X-Y|}dY\right ) \right )dX$ where $\Omega = \displaystyle \cup_j \Omega_j$ and $\Omega_j \cap \Omega_k = \emptyset$ when $k \neq j$ .

We adimensionized the preceeding equation by $M=\sigma(x) m$ , $H_d(M)=M_{s} h_d(m)$ , $ X=Lx $ such that $\Omega_i$ is turn into $\omega_i$ in the cell i,

$M_{s} h_d(m)= \displaystyle \frac{1}{L^3.|\omega_i|} \int_{\omega_i} \frac{1}{L^2} grad_x\left(div_x \left ( \sum_j \int_{\omega_j} M_s \sigma(y) m(y) .\frac{1}{4\pi L |x-y|}L^3dy\right ) \right ) L^3 dx$

$h_d(m)= \displaystyle \frac{1}{|\omega_i|} \int_{\omega_i} grad_x\left(div_x \left ( \sum_j \sigma_j m_j \int_{\omega_j} .\frac{1}{4\pi |x-y|}dy\right ) \right ) dx$

Which becomes:

$h_d(m)= \displaystyle \sum_j \left [ \frac{1}{|\omega_i|} \int_{\omega_i} grad_x\left(div_x \left ( \int_{\omega_j} \frac{1}{4\pi |x-y|}dy\right ) \right ) dx \right ] \sigma_j m_j$

As domain is normalized $|\omega_i|=1$ , $h_d(m)= \displaystyle \sum_j K^i_j \sigma_j m_j$ on cell i, with

$K^i_j= \displaystyle \frac{1}{4\pi} \int_{\omega_i} grad_x \left(div_x \left ( \int_{\omega_j} \frac{1}{|x-y|}dy\right )\right )dx$

So, the demagnetized field if a linear matrix-vector K.M computation.

If we note by $P_i$ the min point of the cell i, we have $\omega_i=P_i+[0,1]^3$ .

The contribution of the cell j to the magnetic excitation at the cell i is $K^i_j \sigma_j m_j$ where $ K^i_j $ is a symmetric matrix of size 3x3.

The $[K^i_j]_{p,q}, \forall (p,q) \in [0,3[^2$ matrix is as follow:

$[K^i_j]_{0,0}= \displaystyle \frac{1}{4\pi} \sum_{r,s,t \in \{0,1\}^3} \int_{[0,1]^3} K_{xx}(P_i,P_j,x,y,z,r,s,t)dxdydz$
$[K^i_j]_{0,1}= \displaystyle \frac{1}{4\pi} \sum_{r,s,t \in \{0,1\}^3} \int_{[0,1]^3} K_{xy}(P_i,P_j,x,y,z,r,s,t)dxdydz$
$[K^i_j]_{0,2}= \displaystyle \frac{1}{4\pi} \sum_{r,s,t \in \{0,1\}^3} \int_{[0,1]^3} K_{xz}(P_i,P_j,x,y,z,r,s,t)dxdydz$
$[K^i_j]_{1,1}= \displaystyle \frac{1}{4\pi} \sum_{r,s,t \in \{0,1\}^3} \int_{[0,1]^3} K_{yy}(P_i,P_j,x,y,z,r,s,t)dxdydz$
$[K^i_j]_{1,2}= \displaystyle \frac{1}{4\pi} \sum_{r,s,t \in \{0,1\}^3} \int_{[0,1]^3} K_{yz}(P_i,P_j,x,y,z,r,s,t)dxdydz$
$[K^i_j]_{2,2}= \displaystyle \frac{1}{4\pi} \sum_{r,s,t \in \{0,1\}^3} \int_{[0,1]^3} K_{zz}(P_i,P_j,x,y,z,r,s,t)dxdydz$

with :

$K_{xx}(P_i,P_j,x,y,z,r,s,t)=\displaystyle -(-1)^{r+s+t} atan\left (\frac{(P_j^y-P_i^y-y-s)(P_j^z-P_i^z-z-t)}{ (P_j^x-P_i^x-x-r).\sqrt{(P_j^x-P_i^x-x-r)^2+(P_j^y-P_i^y-y-s)^2+(P_j^z-P_i^z-z-t)^2}} \right )$
$K_{yy}(P_i,P_j,x,y,z,r,s,t)=\displaystyle -(-1)^{r+s+t} atan\left (\frac{(P_j^z-P_i^z-z-t)(P_j^x-P_i^x-x-r)}{ (P_j^y-P_i^y-y-s).\sqrt{(P_j^x-P_i^x-x-r)^2+(P_j^y-P_i^y-y-s)^2+(P_j^z-P_i^z-z-t)^2}} \right )$
$K_{zz}(P_i,P_j,x,y,z,r,s,t)=\displaystyle -(-1)^{r+s+t} atan\left (\frac{(P_j^x-P_i^x-x-r)(P_j^y-P_i^y-y-s)}{ (P_j^z-P_i^z-z-t).\sqrt{(P_j^x-P_i^x-x-r)^2+(P_j^y-P_i^y-y-s)^2+(P_j^z-P_i^z-z-t)^2}} \right )$
$K_{xy}(P_i,P_j,x,y,z,r,s,t)=\displaystyle (-1)^{r+s+t} ln\left (\frac{(P_j^z-P_i^z-z-t)+\sqrt{(P_j^x-P_i^x-x-r)^2+(P_j^y-P_i^y-y-s)^2+(P_j^z-P_i^z-z-t)^2}}{\sqrt{(P_j^x-P_i^x-x-r)^2+(P_j^y-P_i^y-y-s)^2}} \right )$
$K_{yz}(P_i,P_j,x,y,z,r,s,t)=\displaystyle (-1)^{r+s+t} ln\left (\frac{(P_j^x-P_i^x-x-r)+\sqrt{(P_j^y-P_i^y-y-s)^2+(P_j^z-P_i^z-z-t)^2+(P_j^x-P_i^x-x-r)^2}}{\sqrt{(P_j^y-P_i^y-y-s)^2+(P_j^z-P_i^z-z-t)^2}} \right )$
$K_{xz}(P_i,P_j,x,y,z,r,s,t)=\displaystyle (-1)^{r+s+t} ln\left (\frac{(P_j^y-P_i^y-y-s)+\sqrt{(P_j^z-P_i^z-z-t)^2+(P_j^x-P_i^x-x-r)^2+(P_j^y-P_i^y-y-s)^2}}{\sqrt{(P_j^z-P_i^z-z-t)^2+(P_j^x-P_i^x-x-r)^2}} \right )$

All the expressions of $ K $ depend only on the algebric distance between the cell i and the cell j.

So, the matrix K is a multi level Toeplitz matrices (see MATH_MultiLevelToeplitzMatrix class for more explainations on it).

The matrix $ K $ is a 3-levels matrix which is a list of $ 2*N_z-1 $ toeplitz matrices of level 2 $T_{-N_z+1},....,T_{-1},T_0,T_1,....T_{N_z-1}$ . The u coordinate of the matrix is $u \in ]-N_z,N_z[$ .

Each $ T_u $ is a 2-levels toeplitz matrix which is a list of $ 2*N_y-1 $ toeplitz matrices of level 1 $T_{u,-N_y+1},....,T_{u,-1},T_{u,0},T_{u,1},....T_{u,N_y-1}$ . The v coordinate of the matrix is $v \in ]-N_y,N_y[$ .

Each $T_{u,v}$ is a 1-level toeplitz matrix which is a list of $ 2*N_x-1 $ symmetric matrices of $K_{u,v,-N_x+1},....,K_{u,v,-1},K_{u,v,0},K_{u,v,1},....K_{u,v,N_x-1}$ . The w coordinate of the matrix is $w \in ]-N_x,N_x[$ .

the $K_{u,v,w}$ symmetric matrix if the $ K^i_j $ matrix where the vector $ P_j-P_i=(u,v,w) $ .

By Gauss Legendre interpolation ( see http://mathworld.wolfram.com/Legendre-GaussQuadrature.html ) of rank k of interpolation of $\int_0^1 f(t)dt= \displaystyle \sum_i \rho_i f(\zeta_i)$ defined with weight $\rho_i$ and point $\zeta_i \in ]0,1[$ , we obtain:

$\displaystyle [K_{u,v,w}]_{0,0}= \frac{1}{4\pi} \sum_{r,s,t \in \{0,1\}^3} \sum_{o,p,q \in [0,k[^3} \rho_o \rho_p \rho_q K_{xx}((0,0,0),(u,v,w),\zeta_o,\zeta_p,\zeta_q,r,s,t)$
$\displaystyle [K_{u,v,w}]_{0,1}= \frac{1}{4\pi} \sum_{r,s,t \in \{0,1\}^3} \sum_{o,p,q \in [0,k[^3} \rho_o \rho_p \rho_q K_{xy}((0,0,0),(u,v,w),\zeta_o,\zeta_p,\zeta_q,r,s,t)$
$\displaystyle [K_{u,v,w}]_{0,2}= \frac{1}{4\pi} \sum_{r,s,t \in \{0,1\}^3} \sum_{o,p,q \in [0,k[^3} \rho_o \rho_p \rho_q K_{xz}((0,0,0),(u,v,w),\zeta_o,\zeta_p,\zeta_q,r,s,t)$
$\displaystyle [K_{u,v,w}]_{1,1}= \frac{1}{4\pi} \sum_{r,s,t \in \{0,1\}^3} \sum_{o,p,q \in [0,k[^3} \rho_o \rho_p \rho_q K_{yy}((0,0,0),(u,v,w),\zeta_o,\zeta_p,\zeta_q,r,s,t)$
$\displaystyle [K_{u,v,w}]_{1,2}= \frac{1}{4\pi} \sum_{r,s,t \in \{0,1\}^3} \sum_{o,p,q \in [0,k[^3} \rho_o \rho_p \rho_q K_{yz}((0,0,0),(u,v,w),\zeta_o,\zeta_p,\zeta_q,r,s,t)$
$\displaystyle [K_{u,v,w}]_{2,2}= \frac{1}{4\pi} \sum_{r,s,t \in \{0,1\}^3} \sum_{o,p,q \in [0,k[^3} \rho_o \rho_p \rho_q K_{zz}((0,0,0),(u,v,w),\zeta_o,\zeta_p,\zeta_q,r,s,t)$

The gauss legendre approximation of order $ k=4 $ ( http://mathworld.wolfram.com/Legendre-GaussQuadrature.html ) is $\displaystyle \int_{-1}^1 f(t)dt= \sum_{i=0}^{i=k-1} w_i f(\xi_i)$ with

$w_0= \frac{1}{36} \left( 18+\sqrt{30}\right)$
$w_1= \frac{1}{36} \left( 18+\sqrt{30}\right)$
$w_2= \frac{1}{36} \left( 18-\sqrt{30}\right)$
$w_3= \frac{1}{36} \left( 18-\sqrt{30}\right)$
$\xi_0= \frac{1}{35} \sqrt{525-70\sqrt{30}}$
$\xi_1=-\frac{1}{35} \sqrt{525-70\sqrt{30}}$
$\xi_2= \frac{1}{35} \sqrt{525+70\sqrt{30}}$
$\xi_3=-\frac{1}{35} \sqrt{525+70\sqrt{30}}$

As we integrate fom 0 to 1 instead of -1 to 1, we have to make the variable modification $ u=2t-1 $ to obtain:

$\displaystyle \int_{0}^1 f(t)dt= \frac{1}{2} \int_{-1}^1 f\left(\frac{u+1}{2}\right)du$ . so that the weight and point of Gauss Legendre approximation becomes:

$\displaystyle \rho_i= \frac{w_i}{2}$
$\displaystyle \zeta_i=\frac{\xi_i+1}{2}$

The computing of K.M is done as explain in the class MATH_MultiLevelToeplitzMatrix

As the operator is linear, $\nabla_m h_d(m)[\delta]=h_d(\delta)$ .

The demagnetized energy is $E_d(M)=-\frac{\mu_0}{2} \int_\Omega H_d(M)M d\Omega$ .

$E_d(M)=\displaystyle -\frac{\mu_0 M_s^2}{2} L^3 \sum_{\omega_i} \int_{\omega_i} \sigma_i h_d(m) m d\omega_i$ .

So that the normalized energy is $e_d(m)=\displaystyle -\frac{1}{2} \sum_{\omega_i} \int_{\omega_i} \sigma_i h_d(m) m d\omega_i$ .

Author: Stéphane Despréaux

Version: 1.0

Constructor & Destructor Documentation

◆ EMMG_SLDemagnetizedOperator()

EMMG_SLDemagnetizedOperator::EMMG_SLDemagnetizedOperator ( void )

protected

create

References MATSGN_FFT::FFTW, mFFT, mFFTmethod, mLD, and NewFFTInstance().

Referenced by New().

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◆ ~EMMG_SLDemagnetizedOperator()

EMMG_SLDemagnetizedOperator::~EMMG_SLDemagnetizedOperator ( void )

protectedvirtual

destroy

Member Function Documentation

◆ adimensionize()

virtual void EMM_Operator::adimensionize	(	const tReal &	Le,
		const tReal &	Ms,
		const tReal &	T,
		const tReal &	L
	)

inlinevirtualinherited

adimensionize the operator

Parameters

[in]	Le	adimensionizing parameter
[in]	Ms	magnetization at saturation
[in]	T	caracterictic time
[in]	L	caracteristic length

Do nothing by default

Reimplemented in EMM_MagnetostrictionOperator, and EMM_DisplacementOperator.

References EMM_Operator::discretize(), EMM_Operator::resetToInitialState(), and tBoolean.

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◆ backup()

virtual tBoolean EMM_Operator::backup	(	const tString &	prefix,
		const tString &	suffix,
		const tString &	ext
	)		const

inlinevirtualinherited

backup of the operator data into file(s) used for restoring

Parameters

prefix	: common prefix of the saving files
suffix	: common suffix of the saving files
ext	: common extension of the saving files

Returns: true: do nothing by default

Reimplemented in EMM_DisplacementOperator, EMM_MagnetostrictionOperator, and EMM_DisplacementFVMOperator.

◆ computeEnergy()

virtual tReal EMM_MagneticExcitationLinearOperator::computeEnergy	(	const tReal &	t,
		const EMM_RealArray &	sigma,
		const EMM_RealField &	Mt,
		EMM_RealField &	W
	)		const

inlinevirtualinherited

compute the energy E of the operator

Parameters

t	the time in [0,dt[ where dt is the time step
sigma	the weight of each element
Mt	the normalized magnetization field
W	a working array

Returns: the energy of the operator

compute the energy E which verifies the general relation:

W contains the mangnetic excitation at Mt
$\displaystyle \frac{dE}{dM} \cdot \delta (M_t) = \displaystyle -2 H(M_t) \cdot \delta$

Implements EMM_MagneticExcitationOperator.

References EMM_MagneticExcitationOperator::computeMagneticExcitationFieldAndEnergy().

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◆ computeEnergyWithMagneticExcitation()

virtual tReal EMM_MagneticExcitationLinearOperator::computeEnergyWithMagneticExcitation	(	const tReal &	t,
		const EMM_RealArray &	sigma,
		const EMM_RealField &	Mt,
		const EMM_RealField &	Ht
	)		const

inlineprotectedvirtualinherited

compute the energy E of the operator

Parameters

t	the time in [0,dt[ where dt is the time step
sigma	the weight of each element
Mt	: the normalized magnetization field
Ht	: the magnetic excitation field

Returns: the enery of the operator

compute the energy:

$E= - \displaystyle . \sum_i \int_{\omega_i} \sigma_i H_i . M_i dx = vol. \sum_i . \sigma_i . \sum_{k=0}^{k=3} \left (H^k_i . M^k_i \right )$ in the normalized domain $\omega_i$

E verifies the general relation:

$\displaystyle \frac{dE}{dM} \cdot \delta= \displaystyle -2 \sum_i \int_{\omega_i} \sigma_i H(M) \cdot \delta d\omega_i$

Implements EMM_MagneticExcitationOperator.

References EMM_RealField::dot(), and EMM_Operator::getElementVolume().

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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}

◆ computeFieldsAtTime()

virtual tBoolean EMM_MagneticExcitationLinearOperator::computeFieldsAtTime	(	const tReal &	t,
		const tFlag &	order,
		const EMM_RealArray &	sigma,
		const EMM_RealField &	dM_dt0,
		const EMM_RealField &	M0
	)

inlinevirtualinherited

compute the fields of operator at time

Parameters

t	the time
order	order of integration of the fields with respect of time 1 or 2
sigma	the magnetized weight of each cell
dM_dt0	the variation of M at time 0
M0	the M at time 0

Returns: true Do nothing : no fields

Implements EMM_Operator.

◆ computeMagneticExcitationField() [1/2]

void EMM_DemagnetizedOperator::computeMagneticExcitationField	(	const tUIndex &	nCells,
		const tDimension &	dim,
		const tReal *	sigmaM,
		tReal *	H
	)		const

virtualinherited

compute the excitation magnetic field at M

Parameters

nCells	: number of cells of the mesh
dim	dimension of each point of the mesh
sigmaM	magnetization values of size nCells x dim not necessarly normalized : sigmaM=sigma.M
H	return excitation magnetic values of size nCells x dim

References EMM_DemagnetizedOperator::mMultiScaleGrid, EMM_DemagnetizedOperator::mToeplitzMatrix, and null.

Referenced by EMMG_DemagnetizedOperator::computeMagneticExcitationField(), and EMM_DemagnetizedOperator::getToeplitzMatrix().

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◆ computeMagneticExcitationField() [2/2]

virtual void EMMG_SLDemagnetizedOperator::computeMagneticExcitationField	(	const EMM_RealArray &	sigma,
		const EMM_RealField &	M,
		EMM_RealField &	H
	)		const

inlinevirtual

compute the normalized excitation magnetic field at M

Parameters

sigma	the weight of the normalized magnetization for each cell
M	normalized magnetization field
H	return excitation magnetic field

Implements EMM_MagneticExcitationOperator.

References computeWeightM(), EMM_RealField::getDimension(), EMM_RealField::getSize(), CORE_Array< T >::getSize(), null, product(), EMM_RealField::setDimension(), EMM_RealField::setSize(), and tDimension.

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◆ computeMagneticExcitationFieldAndEnergy()

tReal EMM_MagneticExcitationOperator::computeMagneticExcitationFieldAndEnergy	(	const tReal &	t,
		const EMM_RealArray &	sigma,
		const EMM_RealField &	Mt,
		EMM_RealField &	Ht
	)		const

inlineinherited

compute the energy of the operator

Parameters

t	time in [0,dt[ where dt will be the next time step
sigma	weight of each cell
Mt	the magnetization field
Ht	the return magnetic excitation field

Returns: the energy

compute Ht=H(Mt)
compute energy of the operator

References EMM_MagneticExcitationOperator::computeEnergy(), EMM_MagneticExcitationOperator::computeEnergyWithMagneticExcitation(), EMM_MagneticExcitationOperator::computeMagneticExcitationField(), and tReal.

Referenced by EMM_MagneticExcitationLinearOperator::computeEnergy(), and EMMG_AnisotropyOperator::computeEnergy().

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◆ computeMagneticExcitationFieldGradient()

virtual tBoolean EMM_MagneticExcitationLinearOperator::computeMagneticExcitationFieldGradient	(	const EMM_RealArray &	sigma,
		const EMM_RealField &	M,
		const EMM_RealField &	D,
		EMM_RealField &	gradH
	)		const

inlinevirtualinherited

compute the gradient of the magnetic excitation field at M in the direction D

Parameters

sigma	the weight of element
M	the magnetization field
D	the gradient direction
gradH	: the return gradient of the magnetic excitation field at M in the direction D

Returns: false because the gradient is null

gradH is unchanged

Implements EMM_MagneticExcitationOperator.

References EMM_MagneticExcitationOperator::computeMagneticExcitationField().

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◆ computeWeightM()

void EMMG_SLDemagnetizedOperator::computeWeightM	(	const EMM_RealArray &	sigma,
		const EMM_RealField &	M,
		EMM_RealField &	weightM
	)		const

private

References EMM_RealField::getDimension(), EMM_RealField::getSize(), null, OMP_GET_THREAD_ID, OMP_GET_THREADS_NUMBER, OMP_PARALLEL_PRIVATE_SHARED_DEFAULT, EMM_RealField::setSize(), tReal, tUIndex, tUInteger, and tUSInt.

Referenced by computeMagneticExcitationField(), and dot().

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◆ discretize()

tBoolean EMMG_SLDemagnetizedOperator::discretize ( const EMM_LandauLifschitzSystem & system )

virtual

discretize the operator depending on method

Parameters

system landau lifschitz system used to discretize the operator

Returns: true if the discretization succeeds

Reimplemented from EMM_DemagnetizedOperator.

References EMM_Grid3D::getElementsNumber(), EMM_LandauLifschitzSystem::getMesh(), EMM_DemagnetizedOperator::getMultiScaleGridName(), EMM_Grid3D::getSegmentsNumber(), CORE_Object::getThread(), EMM_Grid3D::isPeriodic(), localAssembly(), mLD, mMatrix, mMultiScaleGrid, mNx, mNy, mNz, EMMG_SLSDXPeriodicMultiScale::New(), null, OMP_GET_THREAD_ID, OMP_GET_THREADS_NUMBER, OMP_PARALLEL_PRIVATE_SHARED_DEFAULT, projectionOnSpectralSpace(), CORE_Array< T >::setSize(), MATSGN_ComplexArray::setSize(), CORE_Thread::startChrono(), CORE_Thread::stopChrono(), tString, tUIndex, tUInteger, and tUSInt.

Referenced by getDataField().

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◆ dot()

void EMMG_SLDemagnetizedOperator::dot	(	const tUSInt &	dim,
		const tReal *	M,
		tReal *	H
	)

inline

dot method used in multi scale grid

Parameters

dim	dimension of each point of M & H
M	magnetization field
H	magnetic excitation field

References computeWeightM(), product(), tFlag, toString(), tReal, tString, tUInteger, and tUSInt.

Referenced by EMMG_SLSDXPeriodicMultiScale::computeLevelDemagnetizedField(), and EMMG_SLRPPeriodicMultiScale::computeMultiGridExcitationField().

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◆ 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

◆ getDataField() [1/6]

virtual tBoolean EMM_Operator::getDataField	(	const tUSInt &	index,
		tString &	dataName,
		tUIndex &	n,
		tDimension &	dim,
		const float *&	values
	)		const

inlinevirtualinherited

get the data field at index for saving data in vtk,txt,... files.

Parameters

index	index of the field in [0,getDataFieldsNumber()[
dataName	name of the field
n	number of element of the field
dim	dimension of the field in [1,3[
values	values of the field

Returns: true if the field at index exists

Reimplemented in EMM_DisplacementOperator, EMM_MagnetostrictionOperator, and EMM_ZeemanOperator.

Referenced by EMM_OperatorsTest::compareDiscretizedData().

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◆ getDataField() [2/6]

virtual tBoolean EMM_Operator::getDataField	(	const tUSInt &	index,
		tString &	dataName,
		tUIndex &	n,
		tDimension &	dim,
		const double *&	values
	)		const

inlinevirtualinherited

get the data field at index for saving data in vtk,txt,... files.

Parameters

index	index of the field in [0,getDataFieldsNumber()[
dataName	name of the field
n	number of element of the field
dim	dimension of the field in [1,3[
values	values of the field

Returns: true if the field at index exists

Reimplemented in EMM_DisplacementOperator, EMM_MagnetostrictionOperator, and EMM_ZeemanOperator.

◆ getDataField() [3/6]

virtual tBoolean EMM_Operator::getDataField	(	const tUSInt &	index,
		tString &	dataName,
		tUIndex &	n,
		tDimension &	dim,
		const long double *&	values
	)		const

inlinevirtualinherited

get the data field at index for saving data in vtk,txt,... files.

Parameters

index	index of the field in [0,getDataFieldsNumber()[
dataName	name of the field
n	number of element of the field
dim	dimension of the field in [1,3[
values	values of the field

Returns: true if the field at index exists

Reimplemented in EMM_DisplacementOperator, EMM_MagnetostrictionOperator, and EMM_ZeemanOperator.

◆ getDataField() [4/6]

virtual tBoolean EMMG_SLDemagnetizedOperator::getDataField	(	const tUSInt &	index,
		tString &	dataName,
		tUIndex &	n,
		tUSInt &	dim,
		const float *&	values
	)		const

inlinevirtual

get the data field at index for saving data in vtk,txt,... files.

Parameters

index	index of the field in [0,getDataFieldsNumber()[
dataName	name of the field
n	number of element of the field
dim	dimension of the field in [1,3[
values	values of the field

Returns: true if the field at index exists

◆ getDataField() [5/6]

virtual tBoolean EMMG_SLDemagnetizedOperator::getDataField	(	const tUSInt &	index,
		tString &	dataName,
		tUIndex &	n,
		tUSInt &	dim,
		const double *&	values
	)		const

inlinevirtual

get the data field at index for saving data in vtk,txt,... files.

Parameters

index	index of the field in [0,getDataFieldsNumber()[
dataName	name of the field
n	number of element of the field
dim	dimension of the field in [1,3[
values	values of the field

Returns: true if the field at index exists

◆ getDataField() [6/6]

virtual tBoolean EMMG_SLDemagnetizedOperator::getDataField	(	const tUSInt &	index,
		tString &	dataName,
		tUIndex &	n,
		tUSInt &	dim,
		const long double *&	values
	)		const

inlinevirtual

get the data field at index for saving data in vtk,txt,... files.

Parameters

index	index of the field in [0,getDataFieldsNumber()[
dataName	name of the field
n	number of element of the field
dim	dimension of the field in [1,3[
values	values of the field

Returns: true if the field at index exists

References discretize(), localAssembly(), projectionOnSpectralSpace(), tBoolean, and tUIndex.

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◆ getDataFieldsNumber()

virtual tUSInt EMMG_SLDemagnetizedOperator::getDataFieldsNumber ( ) const

inlinevirtual

get the number of field used in the operator

Returns: the number of data

Reimplemented from EMM_Operator.

◆ getDataFieldSpace() [1/2]

virtual tBoolean EMM_Operator::getDataFieldSpace	(	const tUSInt &	index,
		tString &	dataName,
		tFlag &	supportType,
		tString &	dFieldType,
		tUIndex &	n,
		tDimension &	dim
	)		const

inlinevirtualinherited

get the data field at index for saving data in vtk,txt,... files.

Parameters

index	index of the field in [0,getDataFieldsNumber()[
dataName	name of the field
supportType	: mesh element whre the field is applied EMM_Grid3D::ELEMENT or EMM_Grid3D::POINT
dFieldType	: type of the field double,float,int,....
n	number of element of the field
dim	dimension of the field in [1,3[

Returns: true if the field at index exists

Reimplemented in EMM_DisplacementFEMOperator, EMM_DisplacementFVMOperator, EMM_MagnetostrictionOperator, and EMM_ZeemanOperator.

References EMM_Grid3D::ELEMENT.

◆ getDataFieldSpace() [2/2]

virtual tBoolean EMMG_SLDemagnetizedOperator::getDataFieldSpace	(	const tUSInt &	index,
		tString &	dataName,
		tFlag &	supportType,
		tString &	dFieldType,
		tUIndex &	n,
		tUSInt &	dim
	)		const

inlinevirtual

get the data field at index for saving data in vtk,txt,... files.

Parameters

index	index of the field in [0,getDataFieldsNumber()[
dataName	name of the field
supportType	: mesh element whre the field is applied MPP_VTK::CELL; \|\| MPP_VTK::POINT
dFieldType	: type of the field double,float,int,....
n	number of element of the field
dim	dimension of the field in [1,3[

Returns: true if the field at index exists

◆ 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

◆ getElementVolume()

const tReal& EMM_Operator::getElementVolume ( ) const

inlineinherited

return the adimensionized volume of the element

Returns: the voume of the element with adimensionized dimensions

References EMM_Operator::mElementVolume.

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◆ getEpsilon()

template<class T >

static T CORE_Object::getEpsilon ( )

inlinestaticinherited

get the epsilon value for T type

Returns: the epsilon value for T type

◆ 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

◆ getLevelsNumber()

const tUInteger& EMM_DemagnetizedOperator::getLevelsNumber ( ) const

inlineinherited

get the levels number in case of periodicicity of the domain

Returns: the levels number wanted

References EMM_DemagnetizedOperator::mLevelsNumber.

◆ 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 EMMG_SLDemagnetizedOperator::getMemorySize ( ) const

inlinevirtual

return the memory size in bytes

Returns: the memory size of the storage in bytes

Reimplemented from EMM_DemagnetizedOperator.

References EMM_Operator::getMemorySize(), EMMG_RealField::getMemorySize(), and MATSGN_ComplexArray::getSize().

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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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◆ getMultiScaleGrid()

EMM_MultiScaleGrid& EMM_DemagnetizedOperator::getMultiScaleGrid ( )

inlineinherited

get the multi scale grid

Returns: the multi scale grid

References null.

◆ getMultiScaleGridName()

const tString& EMM_DemagnetizedOperator::getMultiScaleGridName ( ) const

inlineinherited

get the multi scale grid name to use

Returns: the name of the multi scale grid (either "RP" or "")

References EMM_DemagnetizedOperator::mMultiScaleGridName.

Referenced by discretize().

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◆ getName()

virtual tString EMM_Operator::getName ( ) const

inlinevirtualinherited

return an human reading name of the operator

Returns: the name of the operator

References CORE_Object::getClassName(), EMM_Operator::isAffine(), EMM_Operator::isGradientComputationable(), tBoolean, tString, and tUIndex.

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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.

◆ 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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◆ 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

◆ getThread()

static CORE_Thread& CORE_Object::getThread ( )

inlinestaticinherited

get the profilier

Returns: the profiler

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◆ getToeplitzMatrix()

const MATH_MultiLevelsToeplitzMatrix& EMM_DemagnetizedOperator::getToeplitzMatrix ( ) const

inlineinherited

get the toeplitz matrix

Returns: the discrteized toeplitz matrix

References EMM_DemagnetizedOperator::computeMagneticExcitationField(), tDimension, EMM_DemagnetizedOperator::toString(), tReal, tString, and tUIndex.

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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.

◆ 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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◆ isAffine()

virtual tBoolean EMM_MagneticExcitationLinearOperator::isAffine ( ) const

inlinevirtualinherited

return true if the operator is either constant or linear

Returns: true if the operator is either constant or linear

Implements EMM_Operator.

◆ isCubicVolume()

const tBoolean& EMM_Operator::isCubicVolume ( ) const

inlineinherited

return the true if the element is cubic

Returns: true is all size of the volum is same

References EMM_Operator::mIsCubic.

Referenced by EMM_FullExchangeOperator::discretize(), and EMM_MinimalExchangeOperator::discretize().

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◆ isGradientComputationable()

virtual tBoolean EMM_MagneticExcitationLinearOperator::isGradientComputationable ( ) const

inlinevirtualinherited

return true if the gradient of the magnetic excitation is computationable

Returns: true if the the gradient of the magnetic excitation is computationable

Implements EMM_Operator.

◆ 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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◆ isLevelsNumberAutoComputed()

const tBoolean& EMM_DemagnetizedOperator::isLevelsNumberAutoComputed ( ) const

inlineinherited

get if the levels number is automatically computed

Returns: true if the levels number is automatically computed

References EMM_DemagnetizedOperator::mIsLevelsNumberAutoComputed.

◆ 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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◆ localAssembly()

void EMMG_SLDemagnetizedOperator::localAssembly	(	const EMM_IndexArray &	iTab,
		const EMM_IndexArray &	jTab,
		const EMM_IndexArray &	kTab,
		MATSGN_ComplexArray &	C_loc2
	)

private

References CORE_Array< T >::getSize(), CORE_Object::getThread(), mLD, EMM_SLElementaryDemagnetizedMatrix::New(), null, OMP_GET_THREAD_ID, OMP_GET_THREADS_NUMBER, OMP_PARALLEL_PRIVATE_SHARED_DEFAULT, CORE_Thread::startChrono(), CORE_Thread::stopChrono(), tBoolean, tDouble, tIndex, tReal, tUIndex, tUInteger, and tUSInt.

Referenced by discretize(), and getDataField().

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◆ New()

static SP::EMMG_SLDemagnetizedOperator EMMG_SLDemagnetizedOperator::New ( )

inlinestatic

create a demagnetized operator

Returns: a shared demagnetized operator

References EMMG_SLDemagnetizedOperator().

Referenced by EMMG_ClassFactory::NewInstance().

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◆ NewFFTInstance()

virtual SP::MATSGN_FFT EMMG_SLDemagnetizedOperator::NewFFTInstance ( ) const

inlinevirtual

void create an FFT class for the demagnetized toeplitz matrix computation

Returns: the shared pointer of the FFT class

References MATSGN_FFT::New().

Referenced by EMMG_SLDemagnetizedOperator().

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◆ 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(), 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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◆ product()

void EMMG_SLDemagnetizedOperator::product	(	const tUInteger &	nx,
		const tUInteger &	ny,
		const tUInteger &	nz,
		const tUSInt &	dim,
		const tReal *	M,
		const tFlag &	fftMethod,
		MATSGN_ComplexArray &	fftArray,
		MATSGN_ComplexArray &	Hwork,
		tReal *	H
	)		const

private

compute ani field Cani*M at each point

References CORE_Object::getThread(), mFFT, mMatrix, null, OMP_GET_THREAD_ID, OMP_GET_THREADS_NUMBER, OMP_PARALLEL_PRIVATE_SHARED_DEFAULT, MATSGN_ComplexArray::setSize(), CORE_Thread::startChrono(), CORE_Thread::stopChrono(), tReal, tUIndex, tUInteger, and tUSInt.

Referenced by computeMagneticExcitationField(), and dot().

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◆ projectionOnSpectralSpace()

tBoolean EMMG_SLDemagnetizedOperator::projectionOnSpectralSpace	(	const tUIndex &	Nx,
		const tUIndex &	Ny,
		const tUIndex &	Nz,
		MATSGN_ComplexArray &	C
	)

private

References MATSGN_FFT::FFTW, mFFT, mFFTarray, mLD, CORE_Object::out(), CORE_Out::println(), MATSGN_ComplexArray::setSize(), tBoolean, and tUIndex.

Referenced by discretize(), and getDataField().

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◆ 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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◆ resetToInitialState()

virtual tBoolean EMM_MagneticExcitationLinearOperator::resetToInitialState ( const EMM_LandauLifschitzSystem & system )

inlinevirtualinherited

reset the data of the operator to its initial step t=0

Parameters

system the data to initialize the operator

Returns: true if it succeeds

do nothing : have no state

Implements EMM_Operator.

◆ restore()

virtual tBoolean EMM_Operator::restore	(	const EMM_LandauLifschitzSystem &	system,
		const tString &	prefix,
		const tString &	suffix,
		const tString &	ext
	)

inlinevirtualinherited

restore the operator data from file(s)

Parameters

system	: general data to restore the operator
prefix	: common prefix of the saving files
suffix	: common suffix of the saving files
ext	: common extension of the saving files

Returns: true: do nothing by default

Reimplemented in EMM_DisplacementOperator, EMM_MagnetostrictionOperator, and EMM_DisplacementFVMOperator.

References EMM_Operator::computeFieldsAtTime(), tBoolean, tFlag, tReal, and EMM_Operator::updateAtNextTimeStep().

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◆ setIsLevelsNumberAutoComputed()

void EMM_DemagnetizedOperator::setIsLevelsNumberAutoComputed ( const tBoolean & v )

inlineinherited

if the levels number is automatically computed

Parameters

v	true if the levels number is automatically computed

The levels number is set to min(N[d]) for all periodic directions where N[d] is the number of segments long d-direction

◆ 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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◆ setLevelsNumber()

void EMM_DemagnetizedOperator::setLevelsNumber ( const tUInteger & l )

inlineinherited

set the levels number in case of periodicicity of the domain

Parameters

l	: number of coarse grids

◆ setMultiScaleGridName()

void EMM_DemagnetizedOperator::setMultiScaleGridName ( const tString & name )

inlineinherited

set the multi scale grid name to use

Parameters

name	: name of the multi scale grid (either "RP" or "")

References EMM_DemagnetizedOperator::setStorage(), and tString.

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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.

◆ setStorage()

void EMM_DemagnetizedOperator::setStorage ( const tString & storage )

inherited

set the storage of the toeplitz matrix

Parameters

storage

type of storage

GP: global polynomial storage: leaf block is dense & vector product is done by polynomial product
LP: local polynomial storage: leaf block is packed & vector product is done by polynomial product
LC: local circular storage: leaf block is packed & vector product is done by circular matrix vector product
LT: local tensor storage: leaf block is packed & vector product is done by multi level Tensor circular matrix vector product

References EMM_DemagnetizedOperator::mToeplitzMatrix, MATH_ElementaryMultiLevelsPolynomialToeplitzMatrix::New(), and MATH_GlobalMultiLevelsPolynomialToeplitzMatrix::New().

Referenced by EMM_DemagnetizedOperator::EMM_DemagnetizedOperator(), and EMM_DemagnetizedOperator::setMultiScaleGridName().

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