this class is a test class for testing wave equation using the Finite elements Method with two implementation of the obtained mass matrix as diagonal or not. More...

#include <EMM_WaveFEMTest.h>

Inheritance diagram for EMM_WaveFEMTest:

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Collaboration diagram for EMM_WaveFEMTest:

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Public Member Functions
void	setIsCondensedMassMatrix (const tBoolean &isCondensed)
	set true if the Mass Matrix is condensed or not More...

virtual tBoolean	test (const CORE_Run &runner, const map< tString, tString > &options) const
	make the test More...

virtual tBoolean	performanceTest (const CORE_Run &runner, const map< tString, tString > &options) const
	make the perfomance tests More...

tString	searchPath (const tString &fileName) const
	set the path to find the file with name fileName More...

void	getSearchingPaths (vector< tString > &vpaths) const
	get the path fro seaching the files More...

SP::EMM_Grid3D	createDomain (const tBoolean periodicity[3], const tReal L[3], const tUInteger N[3]) const
	create a cubic mesh More...

void	createMatters (EMM_MatterField &matters, const tUIndex &nMatters, const tFlag &anisotropy, const tUIndex &nCells, const tReal &Lmin, const tReal &Lmax) const
	create matters & distribution on matters More...

void	computeMField (const tString &path, EMM_RealField &M, const tReal &initSeed) const
	compute normalized magnetization field More...

void	computeMField (EMM_RealField &M, const tReal &initSeed) const
	compute normalized magnetization field More...

SP::EMM_LandauLifschitzSystem	createSystem (const CORE_Run &runner, const map< tString, tString > &options) const
	create the system More...

tBoolean	testType () const
	test type 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::EMM_WaveFEMTest	New ()
	create a test class More...

static tReal	compareField (const EMM_RealField &F, const EMM_RealField &G, tUIndex &indexMax)
	compare 2 fields More...

static tBoolean	isInBox (const tReal dim[3], const tReal x[3])
	return true if x[k] is in the [0,dim[k]] for all k in [0,3[ More...

static SP::EMM_Grid3D	createCube (const tReal dim[3], const tUInteger N[3])
	create a cube More...

static SP::EMM_Grid3D	createBox (const tReal dim[3], const tUInteger N[3])
	create a box 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 tFlag	PRIMARY_TESTS =0

static const tFlag	ELEMENTARY_TESTS =1

static const tFlag	CASE_TESTS =2

static const tFlag	CASE_TEST =4

static const tFlag	ALL_TESTS =3

Protected Member Functions
	EMM_WaveFEMTest (void)
	create the class More...

virtual	~EMM_WaveFEMTest (void)
	destroy the class More...

tBoolean	waveTE2Propagation (const tBoolean &isForward, const tBoolean &isTXTOutput, const tString &prefix, const tBoolean &isPeriodic, const tBoolean dirichletLC[2], tReal U_0(const tReal &t), tReal U_L(const tReal &t), const tReal &C, const tReal &L, const tReal &cfl, const tUIndex nT, EMM_RealArray &U, EMM_RealArray &V) const
	compute the wave at any time from initial conditions U(0,.) and V(0,x) and from dirichlet limit conditions or/and and/or Neumann limit conditions $\frac{\partial U}{\partial x}(0) =0$ or/and $\frac{\partial U}{\partial x}(L) =0$ based on Taylor expansion of order 2 for time: $\displaystyle \frac{\partial^2 U}{\partial t^2} = c^2. \frac{\partial^2 U}{\partial x^2}$ More...

virtual tBoolean	waveSystemP1Propagation (const tBoolean &isTXTOutput, const tString &prefix, const tBoolean dirichletLC[2], tReal U_0(const tReal &t), tReal U_L(const tReal &t), const tReal &c, const tReal &L, const tReal &dt, const tUIndex nT, EMM_RealArray &U, EMM_RealArray &V) const
	compute the wave at any time from initial conditions U(0,.) and V(0,x) and from dirichlet limit conditions or/and and/or Neumann limit conditions $\frac{\partial U}{\partial x}(0) =0$ or/and $\frac{\partial U}{\partial x}(L) =0$ based on solving a system (U,V) : More...

virtual tBoolean	waveSystemP2Propagation (const tBoolean &isTXTOutput, const tString &prefix, const tBoolean dirichletLC[2], tReal U_0(const tReal &t), tReal U_L(const tReal &t), const tReal &c, const tReal &L, const tReal &cfl, const tUIndex nT, EMM_RealArray &U, EMM_RealArray &V) const
	compute the wave at any time from initial conditions U(0,.) and V(0,x) and from dirichlet limit conditions or/and and/or Neumann limit conditions $\frac{\partial U}{\partial x}(0) =0$ or/and $\frac{\partial U}{\partial x}(L) =0$ based on solving a system (V,W) More...

virtual tBoolean	sinusoidalWave () const

virtual tBoolean	triangleWave () const

virtual tBoolean	trianglePeriodicalWave () const

virtual tBoolean	sharkWave () const

virtual tBoolean	barWave () const

tReal	computeEnergy (const tUIndex &n, const tReal &C, const tReal &dx, const tReal &dt, const tReal U, const tReal Ut) const
	compute the energy of the wave : $E=\\frac{1}{2} \int_0^L \\|\frac{\partial u}{\partial t}\\|^2 dx + \int_0^L \\|\frac{\partial u}{\partial x}\\|^2 dx$ More...

tBoolean	save (const tString &fileName, const tReal &dx, const tReal *U, const tUIndex &nPts) const
	save the displacement at time with space space of dx More...

tBoolean	save (const tString &fileName, const tReal &dx, const tReal U, const tReal V, const tUIndex &nPts) const
	save the displacement at time with space space of dx More...

tBoolean	load (const tString &optionFile, tString &path, tBoolean &isTXTOutput, tBoolean &isPeriodic, tBoolean dirichletLC[2], tReal &L, tUIndex &nPoints, tReal &Umax, tReal &C, tUIndex &nTimes, tReal &cfl) const
	load the data from txt file More...

tBoolean	sinusoidalWave (const tString &method) const

tBoolean	triangleWave (const tString &method) const

tBoolean	trianglePeriodicalWave (const tString &method) const

tBoolean	sharkWave (const tString &method) const

tBoolean	barWave (const tString &method) const

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...

Static Protected Member Functions
static tReal	null_function (const tReal &t)

static tReal	shark_function (const tReal &t)

static tReal	triangle_function (const tReal &L, const tReal &U, const tReal &x)

static tReal	sinusoidal_function (const tReal &L, const tReal &U, const tReal &x)

static void	linearPieceWise_function (const tUInteger &n, const tReal X, const tReal Y, const tUInteger &nEvals, const tReal Xvalues, tReal Yvalues)

Private Member Functions
	SP_OBJECT (EMM_WaveFEMTest)

void	computeMassMatrix (const tUIndex &nPts, const tBoolean &isPeriodic, const tBoolean dirichletLC[2], MATH_FullMatrix &M) const
	compute the mass matrix More...

void	computeCondensedMassMatrix (const tUIndex &nPts, const tBoolean &isPeriodic, const tBoolean dirichletLC[2], MATH_ArrayVector &M) const
	compute the condensed mass matrix as diagonal More...

void	computeStressMatrix (const tUIndex &nPts, const tBoolean &isPeriodic, const tBoolean dirichletLC[2], MATH_FullMatrix &S) const
	compute the stress matrix More...

tBoolean	computeWaveAtFirstTime (const MATH_Matrix &M, const MATH_Matrix &X, MATH_Solver &solver, const tBoolean &isPeriodic, const tBoolean dirichletLC[2], tReal U0(const tReal &t), tReal UL(const tReal &t), EMM_RealArray &Ux_0, EMM_RealArray &dU_dt0, const tReal &s, const tReal &dt, EMM_RealArray &Ux_1) const
	compute the wave U(dt,.) with Dirichlet/Neumann limit conditions More...

tBoolean	computeWaveAtFirstTime (const MATH_ArrayVector &M, const MATH_Matrix &X, const tBoolean &isPeriodic, const tBoolean dirichletLC[2], tReal U0(const tReal &t), tReal UL(const tReal &t), EMM_RealArray &Ux_0, EMM_RealArray &dU_dt0, const tReal &s, const tReal &dt, EMM_RealArray &Ux_1) const
	compute the wave U(dt,.) with Dirichlet/Neumann limit conditions More...

Private Attributes
tBoolean	mIsMassMatrixCondensed

Detailed Description

this class is a test class for testing wave equation using the Finite elements Method with two implementation of the obtained mass matrix as diagonal or not.

$\displaystyle \frac{\partial^2 u}{\partial t^2} = c^2 . \frac{\partial^2 u}{\partial x^2}$

The aproximation of time is either

Taylor Expansion of order 2 : $\displaystyle \frac{\partial^2 f}{\partial t^2 } = \displaystyle \frac{f(t+dt)+f(t-dt)-2.f(t)}{dt^2}$ and $\frac{\partial^2 f}{\partial x^2 } = \displaystyle \frac{f(x+dx)+f(x-dx)-2.f(x)}{dt^2}$ (see EMM_WaveFEMTest::waveTE2Propagation() )
a system or order 1 with 2 variables : displacement and velocity (see EMM_WaveFEMTest::waveSystemP1Propagation() not yet implemented).
- $\displaystyle V=\frac{\partial U}{\partial t}$
- $\displaystyle \frac{\partial V }{\partial t}=c^2. \frac{\partial^2 U}{\partial x^2}$
a system of order 1 with 2 varaibles : velocity and deformation (see EMM_WaveFEMTest::waveSystemP2Propagation() not yet implemented).
- $\displaystyle V=\frac{\partial U }{\partial t}$
- $\displaystyle W=\frac{\partial U }{\partial x}$
- $\displaystyle \frac{\partial V }{\partial t}=c^2. \frac{\partial W}{\partial x}$
- $\displaystyle \frac{\partial W }{\partial t}= \frac{\partial V }{\partial x}$
Author
Stéphane Despréaux

Version
1.0

Constructor & Destructor Documentation

◆ EMM_WaveFEMTest()

EMM_WaveFEMTest::EMM_WaveFEMTest ( void )

protected

create the class

References mIsMassMatrixCondensed.

Referenced by New().

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◆ ~EMM_WaveFEMTest()

EMM_WaveFEMTest::~EMM_WaveFEMTest ( void )

protectedvirtual

destroy the class

Member Function Documentation

◆ barWave() [1/2]

tBoolean EMM_WaveTest::barWave ( const tString & method ) const

protectedinherited

References EMM_Test::caseTest(), CORE_Array< T >::initArray(), EMM_WaveTest::linearPieceWise_function(), EMM_WaveTest::load(), EMM_WaveTest::null_function(), CORE_Array< T >::setSize(), tBoolean, tReal, tString, tUIndex, tUInteger, tUSInt, EMM_WaveTest::waveSystemP1Propagation(), EMM_WaveTest::waveSystemP2Propagation(), and EMM_WaveTest::waveTE2Propagation().

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◆ barWave() [2/2]

virtual tBoolean EMM_WaveFEMTest::barWave ( ) const

inlineprotectedvirtual

Implements EMM_WaveTest.

References EMM_WaveTest::barWave().

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◆ compareField()

tReal EMM_Test::compareField	(	const EMM_RealField &	F,
		const EMM_RealField &	G,
		tUIndex &	indexMax
	)

staticinherited

compare 2 fields

Parameters

F	the field to compare
G	the secund field to compare
indexMax	the index where the diffrenec of the norm is maximum

Returns: the max norm difference among all points

References EMM_RealField::getDimension(), EMM_RealField::getSize(), EMM_RealField::getValue(), tBoolean, tDimension, tReal, and tUIndex.

Referenced by EMM_Test::New(), and EMM_ODETest::testODE().

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◆ computeCondensedMassMatrix()

void EMM_WaveFEMTest::computeCondensedMassMatrix	(	const tUIndex &	nPts,
		const tBoolean &	isPeriodic,
		const tBoolean	dirichletLC[2],
		MATH_ArrayVector &	M
	)		const

private

compute the condensed mass matrix as diagonal

Parameters

nPts	number of rows/columns of the mass matrix
isPeriodic	to set if the matrix is supposed to be periodic
dirichletLC	: limite conditions
M	the mass matrix

The mass matrix corresponding to the approximation of the integration of $\displaystyle \int_{x_{i-1}}^{x_{i+1}} \Phi_i(x) \Phi_j (x) dx = \frac{\Phi_i(0)\Phi_j(0) + \Phi_i(1)\Phi_j(1) }{2}$ where $\Phi_i(x_j)=\delta_{i,j}$ is a basis function P1 interpolation is as follow:

$M = \left[ {\begin{array}{cccccc} \frac{1}{2} & 0 & ... & 0 & 0 & 0 \\ 0 & 1 & 0 & ... & 0 & 0 \\ 0 & 0 & 1 & 0 && ... \\ ... & ... & ... & ...& ... & ... \\ 0 & 0 & ...& 0 & 1 & 0 \\ 0& ... & 0 & 0 & 1 & \frac{1}{2} \end{array} } \right]$

If the condition is dirichlet at point 0 then $M_{0,0}=1.$ or/and at point L then $M_{n-1,n-1}=1$ and 0 on other columns.

References MATH_ArrayVector::setSize(), tReal, and tUIndex.

Referenced by setIsCondensedMassMatrix(), and waveTE2Propagation().

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◆ computeEnergy()

tReal EMM_WaveTest::computeEnergy	(	const tUIndex &	n,
		const tReal &	C,
		const tReal &	dx,
		const tReal &	dt,
		const tReal *	U,
		const tReal *	Ut
	)		const

protectedinherited

compute the energy of the wave : $E=\\frac{1}{2} \int_0^L \|\frac{\partial u}{\partial t}\|^2 dx + \int_0^L \|\frac{\partial u}{\partial x}\|^2 dx$

Parameters

n	: number of point
C	celerity of the wave
dx	space step size
dt	time step size
U	: U at t
Ut	U at t+dt

References null, tReal, and tUIndex.

Referenced by EMM_WaveFDMTest::waveSystemP2Propagation(), EMM_WaveFDMTest::waveTE2Propagation(), and waveTE2Propagation().

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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}

◆ computeMassMatrix()

void EMM_WaveFEMTest::computeMassMatrix	(	const tUIndex &	nPts,
		const tBoolean &	isPeriodic,
		const tBoolean	dirichletLC[2],
		MATH_FullMatrix &	M
	)		const

private

compute the mass matrix

Parameters

nPts	number of rows/columns of the mass matrix
isPeriodic	to set if the matrix is supposed to be periodic
dirichletLC	: limite conditions
M	the mass matrix

The mass matrix corresponding to the exact integration of $\displaystyle \int_{x_{i-1}}^{x_{i+1}} \Phi_i(x) \Phi_j (x) dx$ where $\Phi_i(x_j)=\delta_{i,j}$ is a basis function P1 interpolation is as follow:

$M = \left[ {\begin{array}{cccccc} \frac{1}{3} & \frac{1}{6} & ... & 0 & 0 & 0 \\ \frac{1}{6} & \frac{2}{3} & \frac{1}{6} & ... & 0 & 0 \\ 0 & \frac{1}{6} & \frac{2}{3} & \frac{1}{6} && ... \\ ... & ... & ... & ...& ... & ... \\ 0 & 0 & ...& \frac{1}{6} & \frac{2}{3} & \frac{1}{6} \\ 0& ... & 0 & 0 & \frac{1}{6} & \frac{1}{3} \end{array} } \right]$

If the condition is dirichlet at point 0 then $M_{0,0}=1.$ or/and at point L then $M_{n-1,n-1}=1.$ , and 0 on other columns.

References MATH_FullMatrix::setSize(), MATH_FullMatrix::setValues(), tReal, and tUIndex.

Referenced by setIsCondensedMassMatrix(), and waveTE2Propagation().

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◆ computeMField() [1/2]

void EMM_Test::computeMField	(	const tString &	path,
		EMM_RealField &	M,
		const tReal &	initSeed
	)		const

inherited

compute normalized magnetization field

Parameters

[in]	path	: path to find the M file if any
[out]	M	: field to generate
[in]	initSeed	: type of initialization of the fields : -1 : M=(1,0,0) -2 : M=(0,1,0) -3 : M=(0,0,1) -4 : M=(1,1,1) -5 : M=(0,1,1) -6 : M=(1,1,0) -7 : M=(1,0,1) >=0 : it loads the file M_nCells_initSeed.txt it its exists or create a random M and try to generete in in the path whre the file is supposed to be. The field M must be sized before.

References EMM_RealField::getSize(), EMM_RealField::initField(), EMM_RealField::loadFromFile(), EMM_RealField::saveToFile(), EMM_Test::searchPath(), EMM_RealField::setSize(), EMM_RealField::setValue(), tBoolean, CORE_Real::toString(), CORE_Integer::toString(), tReal, tString, and tUIndex.

Referenced by EMM_Test::computeMField(), and EMM_Test::New().

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◆ computeMField() [2/2]

void EMM_Test::computeMField	(	EMM_RealField &	M,
		const tReal &	initSeed
	)		const

inlineinherited

compute normalized magnetization field

Parameters

[out]	M	: field to generate
[in]	initSeed	: type of initialization of the fields : -1 : M=(1,0,0) -2 : M=(0,1,0) -3 : M=(0,0,1) -4 : M=(1,1,1) -5 : M=(0,1,1) -6 : M=(1,1,0) -7 : M=(1,0,1) >=0 : it loads the file M_nCells_initSeed.txt it its exists or create a random M and try to generete in in the path whre the file is supposed to be. The field M must be sized before.

References EMM_Test::computeMField(), and EMM_Test::createSystem().

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◆ computeStressMatrix()

void EMM_WaveFEMTest::computeStressMatrix	(	const tUIndex &	nPts,
		const tBoolean &	isPeriodic,
		const tBoolean	dirichletLC[2],
		MATH_FullMatrix &	S
	)		const

private

compute the stress matrix

Parameters

nPts	number of rows/columns of the mass matrix
isPeriodic	to set if the stress is supposed to be periodic
dirichletLC	: limite conditions
S	the stress matrix

The stress matrix corresponding to the exact integration of $\displaystyle \int_{x_{i-1}}^{x_{i+1}} \frac{\partial \Phi_i(x)}{\partial x} \frac{\partial \Phi_j (x)}{\partial x} dx$ where $\Phi_i(x_j)=\delta_{i,j}$ is a basis function P1 interpolation is as follow:

$S = \left[ {\begin{array}{cccccc} 1 & -1 & ... & 0 & 0 & 0 \\ -1 & 2 & -1 & ... & 0 & 0 \\ 0 & -1 & 2 & -1 && ... \\ ... & ... & ... & ...& ... & ... \\ 0 & 0 & ...& -1 & 2 & -1 \\ 0& ... & 0 & 0 & -1 & 1 \end{array} } \right]$

References MATH_FullMatrix::setSize(), MATH_FullMatrix::setValues(), tReal, and tUIndex.

Referenced by setIsCondensedMassMatrix(), and waveTE2Propagation().

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◆ computeWaveAtFirstTime() [1/2]

tBoolean EMM_WaveFEMTest::computeWaveAtFirstTime	(	const MATH_Matrix &	M,
		const MATH_Matrix &	X,
		MATH_Solver &	solver,
		const tBoolean &	isPeriodic,
		const tBoolean	dirichletLC[2],
		tReal	U0const tReal &t,
		tReal	ULconst tReal &t,
		EMM_RealArray &	Ux_0,
		EMM_RealArray &	dU_dt0,
		const tReal &	s,
		const tReal &	dt,
		EMM_RealArray &	Ux_1
	)		const

private

compute the wave U(dt,.) with Dirichlet/Neumann limit conditions

Parameters

M	: mass matrix
X	: displacement matrix
solver	: linear solver
isPeriodic	to set if the wave is supposed to be periodic
dirichletLC	limit condition of dirichlet
U0	: function depending on time t at x=0 if dirichlet condition
UL	: function depending on time t at x=L if dirichlet condition
Ux_0	: initial value of U at t=0 for all x in [0,L[
dU_dt0	: initial value of velocity of U at t=0 for all x in [0,L[
s	the quantity
dt	: the time step
Ux_1	: return the values of U at t=dt

$\displaystyle \frac{\partial U}{\partial t}(t,x)=\frac{U(t+dt,x)-U(t-dt,x)}{2.dt}$ $\displaystyle U(t-dt,x)=U(t+dt,x)-2.dt*\frac{\partial U}{\partial t}(t,x)$

$\displaystyle \frac{\partial^2 U}{\partial t^2}= \displaystyle \frac{U(t+dt,x)+U(t-dt,x)-2.U(t,x) }{2.dt^2}$

$\displaystyle \frac{\partial^2 U}{\partial x^2}= \displaystyle \frac{U(t,x+dx)+U(t,x-dx)-2.U(t,x) }{2.dx^2}$

$\displaystyle \frac{\partial^2 U}{\partial t^2}= c^2 \displaystyle \frac{\partial^2 U}{\partial x^2}$

By multipliing by a basis function $\Phi_j(x)$ and integration over the domain, we obtain the ssystem equation:

$\displaystyle M. \frac{U(t+dt,x)+U(t-dt,x)-2.U(t,x) }{2.dt^2} = \displaystyle c^2 \frac{1}{2.dx^2} X. U$

$\Rightarrow \displaystyle U(t+dt)= \displaystyle c^2 \frac{dt^2}{dx^2} \left ( M^{-1}. X. U \right ) +2.U(t)-U(t-dt)$

so we deduce at first step that :

$\displaystyle U(t+dt)= \displaystyle \frac{s^2}{2} \left ( M^{-1}. X. U \right ) + dt*\frac{\partial U}{\partial t}(x,0)$ with $s=c \frac{dt}{dx}$

References CORE_Array< T >::add(), CORE_Array< T >::getSize(), MATH_ArrayVector::New(), MATH_Matrix::product(), CORE_Array< T >::setSize(), MATH_Solver::solve(), tReal, and tUIndex.

Referenced by setIsCondensedMassMatrix(), and waveTE2Propagation().

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◆ computeWaveAtFirstTime() [2/2]

tBoolean EMM_WaveFEMTest::computeWaveAtFirstTime	(	const MATH_ArrayVector &	M,
		const MATH_Matrix &	X,
		const tBoolean &	isPeriodic,
		const tBoolean	dirichletLC[2],
		tReal	U0const tReal &t,
		tReal	ULconst tReal &t,
		EMM_RealArray &	Ux_0,
		EMM_RealArray &	dU_dt0,
		const tReal &	s,
		const tReal &	dt,
		EMM_RealArray &	Ux_1
	)		const

private

compute the wave U(dt,.) with Dirichlet/Neumann limit conditions

Parameters

M	: condensed mass diagonal matrix
X	displacement matrix
isPeriodic	to set if the wave is supposed to be periodic
dirichletLC	limit condition of dirichlet
U0	: function depending on time t at x=0 if dirichlet condition
UL	: function depending on time t at x=L if dirichlet condition
Ux_0	: initial value of U at t=0 for all x in [0,L[
dU_dt0	: initial value of velocity of U at t=0 for all x in [0,L[
s	the quantity
dt	: the time step
Ux_1	: return the values of U at t=dt

$\displaystyle \frac{\partial U}{\partial t}(t,x)=\frac{U(t+dt,x)-U(t-dt,x)}{2.dt}$ $\displaystyle U(t-dt,x)=U(t+dt,x)-2.dt*\frac{\partial U}{\partial t}(t,x)$

$\displaystyle \frac{\partial^2 U}{\partial t^2}= \displaystyle \frac{U(t+dt,x)+U(t-dt,x)-2.U(t,x) }{2.dt^2}$

$\displaystyle \frac{\partial^2 U}{\partial x^2}= \displaystyle \frac{U(t,x+dx)+U(t,x-dx)-2.U(t,x) }{2.dx^2}$

$\displaystyle \frac{\partial^2 U}{\partial t^2}= c^2 \displaystyle \frac{\partial^2 U}{\partial x^2}$

By multipliing by a basis function $\Phi_j(x)$ and integration over the domain, we obtain the ssystem equation:

$\displaystyle M. \frac{U(t+dt,x)+U(t-dt,x)-2.U(t,x) }{2.dt^2} = \displaystyle c^2 \frac{1}{2.dx^2} X. U$

$\Rightarrow \displaystyle U(t+dt)= \displaystyle c^2 \frac{dt^2}{dx^2} \left ( M^{-1}. X. U \right ) +2.U(t)-U(t-dt)$

so we deduce at first step that :

$\displaystyle U(t+dt)= \displaystyle \frac{s^2}{2} \left ( M^{-1}. X. U \right ) + dt*\frac{\partial U}{\partial t}(x,0)$ with $s=c \frac{dt}{dx}$

References CORE_Array< T >::add(), CORE_Array< T >::getSize(), MATH_ArrayVector::New(), MATH_Matrix::product(), CORE_Array< T >::setSize(), tReal, and tUIndex.

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◆ createBox()

SP::EMM_Grid3D EMM_Test::createBox	(	const tReal	dim[3],
		const tUInteger	N[3]
	)

staticinherited

create a box

Parameters

dim	dimension of a parallelipiped box in each direction
N	number of discretization on each direction of the box

Returns: a share pointer to the grid 3D

References EMM_Grid3D::getNeighborsIndicators(), EMM_Test::isInBox(), EMM_Grid3D::New(), EMM_Grid3D::setSegmentsNumber(), EMM_Grid3D::setStepsSize(), tCellFlag, tReal, tUIndex, tUSInt, and EMM_Grid3D::updateMagnetizedElementsNumber().

Referenced by EMM_Grid3DTest::cellDataPointDataTest(), EMM_Test::createDomain(), and EMM_Test::New().

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◆ createCube()

SP::EMM_Grid3D EMM_Test::createCube	(	const tReal	dim[3],
		const tUInteger	N[3]
	)

staticinherited

create a cube

Parameters

dim	dimension of a parallelipiped cube in each direction
N	number of discretization on each direction of the cube

Returns: a share pointer to the grid 3D

References EMM_Grid3D::getNeighborsIndicators(), EMM_Test::isInBox(), EMM_Grid3D::New(), EMM_Grid3D::setSegmentsNumber(), EMM_Grid3D::setStepsSize(), tCellFlag, tReal, tUInteger, tUSInt, and EMM_Grid3D::updateMagnetizedElementsNumber().

Referenced by EMM_Test::New(), EMM_TimeTest::testCubicAnisotropyEnergyDerivatives(), EMM_Grid3DTest::testSegment(), EMM_Grid3DTest::testThinSheet(), EMM_TimeTest::testTimeStepComputing(), and EMM_TimeTest::testZeemanEnergyDerivatives().

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◆ createDomain()

SP::EMM_Grid3D EMM_Test::createDomain	(	const tBoolean	periodicity[3],
		const tReal	L[3],
		const tUInteger	N[3]
	)		const

inherited

create a cubic mesh

Parameters

[in]	periodicity	: periodicity of the domain
[in]	L	: size of the domain
[in]	N	: discretization of the domain

References EMM_Test::createBox().

Referenced by EMM_DemagnetizedPeriodicalTest::HTest(), EMM_VelocitySolverTest::massMatrixTest(), EMM_VelocitySolverTest::massMatrixTrivialSolverTest(), EMM_DemagnetizedPeriodicalTest::multiSDGridScaleTest(), EMM_Test::New(), EMM_DemagnetizedPeriodicalTest::relaxationTest(), EMM_DemagnetizedPeriodicalTest::xyPeriodicalCubeSDGTest(), and EMM_DemagnetizedPeriodicalTest::xyPeriodicalSheetSDGTest().

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◆ createMatters()

void EMM_Test::createMatters	(	EMM_MatterField &	matters,
		const tUIndex &	nMatters,
		const tFlag &	anisotropy,
		const tUIndex &	nCells,
		const tReal &	Lmin,
		const tReal &	Lmax
	)		const

inherited

create matters & distribution on matters

Parameters

[out]	matters	: matter field within the domain
[in]	nMatters	: number of matters to generate
[in]	anisotropy	: anisotrpy type of the matters
[in]	nCells	: number of cells of the mesh
[in]	Lmin	: min length of cells of the domain
[in]	Lmax	: max length of cells of the domain

References EMM_MatterField::addMatter(), EMM_MatterField::adimensionize(), EMM_MatterField::clear(), EMM_Matter::CUBIC_ANISOTROPY, EMM_Object::Gamma, EMM_Object::Mu0, EMM_Matter::New(), EMM_Matter::PLANAR_ANISOTROPY, EMM_MatterField::setSize(), tReal, tUIndex, and tUSInt.

Referenced by EMM_DemagnetizedPeriodicalTest::HTest(), EMM_DemagnetizedPeriodicalTest::multiSDGridScaleTest(), EMM_Test::New(), EMM_DemagnetizedPeriodicalTest::relaxationTest(), EMM_DemagnetizedPeriodicalTest::xyPeriodicalCubeSDGTest(), and EMM_DemagnetizedPeriodicalTest::xyPeriodicalSheetSDGTest().

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◆ createSystem()

SP::EMM_LandauLifschitzSystem EMM_Test::createSystem	(	const CORE_Run &	runner,
		const map< tString, tString > &	options
	)		const

inherited

create the system

Parameters

[in]	runner	: runner of the program to get the class factory
[in]	options	: options to create the system "relaxation-time-integration" = "gl"\|"ggl"\|"rk4"\|"te" "relaxation-time order"="2"\|"1" "relaxation-rate"="1.e-8"

Returns: the laudau lifschitz system

References CORE_String::New(), and tString.

Referenced by EMM_Test::computeMField(), EMM_DemagnetizedPeriodicalTest::HTest(), EMM_DemagnetizedPeriodicalTest::multiSDGridScaleTest(), EMM_DemagnetizedPeriodicalTest::relaxationTest(), EMM_DemagnetizedPeriodicalTest::xyPeriodicalCubeSDGTest(), and EMM_DemagnetizedPeriodicalTest::xyPeriodicalSheetSDGTest().

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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

◆ 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

◆ 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

◆ 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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◆ 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.

◆ 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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◆ getSearchingPaths()

void EMM_Test::getSearchingPaths ( vector< tString > & vpaths ) const

inherited

get the path fro seaching the files

Parameters

vpaths the vectors of searching paths

References tString, and tUSInt.

Referenced by EMM_ElementaryTest::defaultBackupTest(), EMM_ElementaryTest::defaultTest(), EMM_DemagnetizedTest::demagnetizedTestCase(), EMM_DisplacementWaveTest::elasticWaveTest(), EMM_DemagnetizedPeriodicalTest::HTest(), EMMH_HysteresisTest::hysteresisDefaultCycleTest(), EMM_WaveTest::load(), EMM_ElementaryTest::magnetostrictionBackupTest(), EMM_Test::New(), EMM_DemagnetizedPeriodicalTest::periodicalDemagnetizedTestCase(), EMM_DemagnetizedPeriodicalTest::relaxationTest(), EMM_Test::searchPath(), EMM_CaseTest::testCase(), EMM_ODETest::testODE(), EMM_FieldTest::testRealArray(), EMM_DemagnetizedPeriodicalTest::xyPeriodicalCubeSDGTest(), and EMM_DemagnetizedPeriodicalTest::xyPeriodicalSheetSDGTest().

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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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◆ 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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◆ isInBox()

tBoolean EMM_Test::isInBox	(	const tReal	dim[3],
		const tReal	x[3]
	)

staticinherited

return true if x[k] is in the [0,dim[k]] for all k in [0,3[

Parameters

dim	dimension of the parallelepiped cube
x	coordinates of the point

Returns: trie if the point x is in the box

References tBoolean, and tUSInt.

Referenced by EMM_Test::createBox(), EMM_Test::createCube(), and EMM_Test::New().

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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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◆ linearPieceWise_function()

void EMM_WaveTest::linearPieceWise_function	(	const tUInteger &	n,
		const tReal *	X,
		const tReal *	Y,
		const tUInteger &	nEvals,
		const tReal *	Xvalues,
		tReal *	Yvalues
	)

staticprotectedinherited

References tReal, and tUInteger.

Referenced by EMM_WaveTest::barWave(), EMM_WaveTest::shark_function(), and EMM_WaveTest::triangle_function().

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◆ load()

tBoolean EMM_WaveTest::load	(	const tString &	optionFile,
		tString &	path,
		tBoolean &	isTXTOutput,
		tBoolean &	isPeriodic,
		tBoolean	dirichletLC[2],
		tReal &	L,
		tUIndex &	nPoints,
		tReal &	Umax,
		tReal &	C,
		tUIndex &	nTimes,
		tReal &	cfl
	)		const

protectedinherited

load the data from txt file

Parameters

optionFile	name of the file containing lines key=value The keys are "dirichlet0" "dirichlet1" "L" "nPoints" "Umax" "C" "nTimes" "cfl" "txt-output"
path	the path where the option file is found
isTXTOutput	: true to save the evolution in txt files
isPeriodic	: true if the domain is supposed to be periodic
dirichletLC	: read the dirichlet conditions on x=0 and x=L
L	the length of the 1D-domain
nPoints	: number of discretized points on x
Umax	the maximum amplitude of U
C	the celerity of the wave
nTimes	the number of time steps
cfl	the cfl condition <=1

Returns: true if the loading succeeded

References EMM_Test::getSearchingPaths(), CORE_Integer::parseInt(), CORE_Real::parseReal(), EMM_Test::searchPath(), CORE_String::string2Boolean(), tChar, tIndex, tString, tUIndex, and tUInt.

Referenced by EMM_WaveTest::barWave(), EMM_WaveTest::sharkWave(), EMM_WaveTest::sinusoidalWave(), EMM_WaveTest::trianglePeriodicalWave(), and EMM_WaveTest::triangleWave().

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◆ New()

static SP::EMM_WaveFEMTest EMM_WaveFEMTest::New ( )

inlinestatic

create a test class

References EMM_WaveFEMTest().

Referenced by EMM_DisplacementWaveTest::test().

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◆ null_function()

tReal EMM_WaveTest::null_function ( const tReal & t )

staticprotectedinherited

Referenced by EMM_WaveTest::barWave(), EMM_WaveTest::sharkWave(), EMM_WaveTest::sinusoidalWave(), EMM_WaveTest::trianglePeriodicalWave(), and EMM_WaveTest::triangleWave().

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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(), 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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◆ performanceTest()

tBoolean EMM_Test::performanceTest	(	const CORE_Run &	runner,
		const map< tString, tString > &	options
	)		const

virtualinherited

make the perfomance tests

Parameters

runner	the associated runner
options	the option sof the test to run

Returns: true if succeeds

Reimplemented from CORE_Test.

Reimplemented in EMM_OperatorsTest.

References CORE_Run::getClassFactory(), tBoolean, and EMM_Test::test().

Referenced by EMM_Test::New().

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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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◆ 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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◆ save() [1/2]

tBoolean EMM_WaveTest::save	(	const tString &	fileName,
		const tReal &	dx,
		const tReal *	U,
		const tUIndex &	nPts
	)		const

protectedinherited

save the displacement at time with space space of dx

Parameters

fileName	name of the file to save
dx	the space step
U	the displacement U
nPts	: the number of space step

References tReal, and tUIndex.

Referenced by EMM_WaveFDMTest::waveSystemP1Propagation(), EMM_WaveFDMTest::waveSystemP2Propagation(), EMM_WaveFDMTest::waveTE2Propagation(), and waveTE2Propagation().

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◆ save() [2/2]

tBoolean EMM_WaveTest::save	(	const tString &	fileName,
		const tReal &	dx,
		const tReal *	U,
		const tReal *	V,
		const tUIndex &	nPts
	)		const

protectedinherited

save the displacement at time with space space of dx

Parameters

fileName	name of the file to save
dx	the space step
U	the displacement U
V	the velocity V
nPts	: the number of space step

References tReal, and tUIndex.

◆ searchPath()

tString EMM_Test::searchPath ( const tString & fileName ) const

inherited

set the path to find the file with name fileName

Parameters

fileName name of the file

Returns: the path to find the file. Return empty path if not found

References CORE_IO::exists(), and EMM_Test::getSearchingPaths().

Referenced by EMM_Test::computeMField(), EMM_ElementaryTest::defaultBackupTest(), EMM_ElementaryTest::defaultTest(), EMM_DemagnetizedTest::demagnetizedTestCase(), EMM_DisplacementWaveTest::elasticWaveTest(), EMM_DemagnetizedPeriodicalTest::HTest(), EMMH_HysteresisTest::hysteresisCycleTest(), EMMH_HysteresisTest::hysteresisDefaultCycleTest(), EMM_WaveTest::load(), EMM_ElementaryTest::magnetostrictionBackupTest(), EMM_Test::New(), EMM_DemagnetizedPeriodicalTest::periodicalDemagnetizedTestCase(), EMM_DemagnetizedPeriodicalTest::relaxationTest(), EMM_MatterTest::testAdimensionize(), EMM_MatterTest::testANIFile(), EMM_CaseTest::testCase(), EMM_MatterTest::testIO(), EMM_ODETest::testODE(), EMM_FieldTest::testRealArray(), EMM_Grid3DTest::testSegment(), EMM_Grid3DTest::testThinSheet(), EMM_DemagnetizedPeriodicalTest::xyPeriodicalCubeSDGTest(), and EMM_DemagnetizedPeriodicalTest::xyPeriodicalSheetSDGTest().

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◆ setIsCondensedMassMatrix()

void EMM_WaveFEMTest::setIsCondensedMassMatrix ( const tBoolean & isCondensed )

inline

set true if the Mass Matrix is condensed or not

Parameters

isCondensed true if the mass matrix is diagonal

References computeCondensedMassMatrix(), computeMassMatrix(), computeStressMatrix(), computeWaveAtFirstTime(), tBoolean, tReal, tString, tUIndex, and waveTE2Propagation().

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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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◆ 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.

◆ setThis()

void CORE_Object::setThis ( SP::CORE_Object p )

inlineprotectedinherited

set this weak shared pointer called toDoAfterThis setting method

Parameters

p	: shared pointer of the class This

References CORE_Object::toDoAfterThisSetting().

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◆ setThread()

static void CORE_Object::setThread ( SP::CORE_Thread thread )

inlinestaticinherited

set the thread

Parameters

thread the shared pointer to the thread

References null.

Referenced by EMM_Run::EMM_Run(), EMM_TensorsRun::EMM_TensorsRun(), and MATH_SolverRun::MATH_SolverRun().

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◆ shark_function()

tReal EMM_WaveTest::shark_function ( const tReal & t )

staticprotectedinherited

References EMM_WaveTest::linearPieceWise_function(), tReal, and tUInteger.

Referenced by EMM_WaveTest::sharkWave().

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◆ sharkWave() [1/2]

tBoolean EMM_WaveTest::sharkWave ( const tString & method ) const

protectedinherited

References EMM_Test::caseTest(), CORE_Array< T >::initArray(), EMM_WaveTest::load(), EMM_WaveTest::null_function(), CORE_Array< T >::setSize(), EMM_WaveTest::shark_function(), tBoolean, tReal, tString, tUIndex, tUSInt, EMM_WaveTest::waveSystemP1Propagation(), EMM_WaveTest::waveSystemP2Propagation(), and EMM_WaveTest::waveTE2Propagation().

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◆ sharkWave() [2/2]

virtual tBoolean EMM_WaveFEMTest::sharkWave ( ) const

inlineprotectedvirtual

Implements EMM_WaveTest.

References EMM_WaveTest::sharkWave().

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◆ sinusoidal_function()

tReal EMM_WaveTest::sinusoidal_function	(	const tReal &	L,
		const tReal &	U,
		const tReal &	x
	)

staticprotectedinherited

References tReal.

Referenced by EMM_WaveTest::sinusoidalWave().

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◆ sinusoidalWave() [1/2]

tBoolean EMM_WaveTest::sinusoidalWave ( const tString & method ) const

protectedinherited

References EMM_Test::caseTest(), CORE_Array< T >::initArray(), EMM_WaveTest::load(), EMM_WaveTest::null_function(), CORE_Array< T >::setSize(), EMM_WaveTest::sinusoidal_function(), tBoolean, tReal, tString, tUIndex, tUSInt, EMM_WaveTest::waveSystemP1Propagation(), EMM_WaveTest::waveSystemP2Propagation(), and EMM_WaveTest::waveTE2Propagation().

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◆ sinusoidalWave() [2/2]

virtual tBoolean EMM_WaveFEMTest::sinusoidalWave ( ) const

inlineprotectedvirtual

Implements EMM_WaveTest.

References EMM_WaveTest::sinusoidalWave().

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◆ SP_OBJECT()

EMM_WaveFEMTest::SP_OBJECT ( EMM_WaveFEMTest )

private

◆ test()

tBoolean EMM_WaveTest::test	(	const CORE_Run &	runner,
		const map< tString, tString > &	options
	)		const

virtualinherited

make the test

Returns: true if succeeds

Reimplemented from EMM_Test.

References EMM_WaveTest::barWave(), EMM_WaveTest::sharkWave(), EMM_WaveTest::sinusoidalWave(), tBoolean, EMM_WaveTest::trianglePeriodicalWave(), EMM_WaveTest::triangleWave(), and tString.

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◆ testType()

tBoolean CORE_Test::testType ( ) const

inherited

test type

Referenced by CORE_Test::New(), and CORE_Test::test().

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◆ toDoAfterThisSetting()

virtual void CORE_Object::toDoAfterThisSetting ( )

inlineprotectedvirtualinherited

method called after setThis() method this method can oly be called once.

Reimplemented in EMM_DisplacementOperator, EMM_DisplacementFVMOperator, EMM_GaussLegendreRelaxation, EMM_GradGaussLegendreRelaxation, and EMM_Object.

Referenced by CORE_Object::setThis().

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◆ toString()

virtual tString CORE_Object::toString ( ) const

inlinevirtualinherited

return the string representation of the object node

Returns: the string representation of the object node

Reimplemented in EMM_DisplacementOperator, EMM_LandauLifschitzSystem, CORE_Array< T >, CORE_Array< tReal >, CORE_Array< tUInteger >, CORE_Array< tString >, CORE_Array< tLimitCondition >, CORE_Array< tUIndex >, CORE_Array< tUChar >, CORE_Array< tCellFlag >, EMM_Grid3D, CORE_Time, CORE_Vector< T >, EMM_Matter, CORE_Out, EMM_DisplacementFEMOperator, EMM_RealField, EMM_DisplacementFVMOperator, CORE_MorseArray< T >, CORE_MorseArray< tReal >, CORE_MorseArray< tUIndex >, CORE_MorseArray< tUChar >, EMM_MagnetostrictionOperator, MATH_MultiLevelsToeplitzMatrix, FFTW_ComplexArray, MATSGN_ComplexArray, EMM_MatterField, CORE_Color, FFTW_Complex, EMM_MultiScaleGrid, MATSGN_Complex, EMM_DisplacementFVM_VTEGROperator, EMM_CondensedMassMatrix, EMM_LandauLifschitzFunction, EMM_Tensors, EMM_DisplacementFVM_SSGROperator, EMMG_SLDemagnetizedOperator, EMM_BlockMassMatrix, CORE_Array2D< T >, EMM_DisplacementFVM_STEGROperator, EMMH_HysteresisFile, EMM_IterativeTimeStep, CORE_SharedPointersVMap< Key, Value >, CORE_SharedPointersVMap< tString, const CORE_Object >, CORE_SharedPointersVMap< tString, CORE_Object >, EMM_AnisotropyDirectionsField, EMM_DemagnetizedOperator, CORE_SharedPointersListVMap< Key, Value >, CORE_String, EMM_OptimalTimeStep, MATH_MaskArrayVector, CORE_SharedPointersKVMap< Key, Value >, MATH_ArrayVector, EMM_Stepper, EMM_CanonicalMassMatrix, MATH_Pn, MATH_FullMatrix, EMMG_SLPeriodicMultiScale, EMM_HyperElasticMatter, MATH_Matrix, CORE_Array3D< T >, EMM_CubicElasticMatter, CORE_Complex, CORE_Integer, CORE_Real, and EMM_MagnetostrictiveMatter.

References CORE_Object::getIdentityString().

Referenced by CORE_Out::genericPrint(), EMM_VelocitySolverTest::massMatrixTrivialSolverTest(), MATH_ConjugateGradient::solve(), CORE_SharedPointersKVMap< Key, Value >::toString(), CORE_SharedPointersListVMap< Key, Value >::toString(), CORE_SharedPointersVMap< tString, CORE_Object >::toString(), EMM_MagnetostrictionOperator::toString(), EMM_Matter::toString(), and EMM_DisplacementOperator::toString().

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◆ triangle_function()

tReal EMM_WaveTest::triangle_function	(	const tReal &	L,
		const tReal &	U,
		const tReal &	x
	)

staticprotectedinherited

References EMM_WaveTest::linearPieceWise_function(), tReal, and tUInteger.

Referenced by EMM_WaveTest::trianglePeriodicalWave(), and EMM_WaveTest::triangleWave().

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◆ trianglePeriodicalWave() [1/2]

tBoolean EMM_WaveTest::trianglePeriodicalWave ( const tString & method ) const

protectedinherited

References EMM_Test::caseTest(), CORE_Array< T >::initArray(), EMM_WaveTest::load(), EMM_WaveTest::null_function(), CORE_Array< T >::setSize(), tBoolean, tReal, EMM_WaveTest::triangle_function(), tString, tUIndex, tUSInt, EMM_WaveTest::waveSystemP1Propagation(), EMM_WaveTest::waveSystemP2Propagation(), and EMM_WaveTest::waveTE2Propagation().

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◆ trianglePeriodicalWave() [2/2]

virtual tBoolean EMM_WaveFEMTest::trianglePeriodicalWave ( ) const

inlineprotectedvirtual

Implements EMM_WaveTest.

References EMM_WaveTest::trianglePeriodicalWave().

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◆ triangleWave() [1/2]

tBoolean EMM_WaveTest::triangleWave ( const tString & method ) const

protectedinherited

References EMM_Test::caseTest(), CORE_Array< T >::initArray(), EMM_WaveTest::load(), EMM_WaveTest::null_function(), CORE_Array< T >::setSize(), tBoolean, tReal, EMM_WaveTest::triangle_function(), tString, tUIndex, tUSInt, EMM_WaveTest::waveSystemP1Propagation(), EMM_WaveTest::waveSystemP2Propagation(), and EMM_WaveTest::waveTE2Propagation().

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◆ triangleWave() [2/2]

virtual tBoolean EMM_WaveFEMTest::triangleWave ( ) const

inlineprotectedvirtual

Implements EMM_WaveTest.

References EMM_WaveTest::triangleWave().

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◆ waveSystemP1Propagation()

virtual tBoolean EMM_WaveFEMTest::waveSystemP1Propagation	(	const tBoolean &	isTXTOutput,
		const tString &	prefix,
		const tBoolean	dirichletLC[2],
		tReal	U_0const tReal &t,
		tReal	U_Lconst tReal &t,
		const tReal &	c,
		const tReal &	L,
		const tReal &	dt,
		const tUIndex	nT,
		EMM_RealArray &	U,
		EMM_RealArray &	V
	)		const

inlineprotectedvirtual

compute the wave at any time from initial conditions U(0,.) and V(0,x) and from dirichlet limit conditions $ U(t,0)=U_0(t) $ or/and $ U(t,L)=U_L(t) $ and/or Neumann limit conditions $\frac{\partial U}{\partial x}(0) =0$ or/and $\frac{\partial U}{\partial x}(L) =0$ based on solving a system (U,V) :

$\displaystyle V=\frac{\partial U}{\partial t}$
$\displaystyle \frac{\partial V }{\partial t}=c^2. \frac{\partial^2 U}{\partial x^2}$ .

This relations imply : $\displaystyle \frac{\partial^2 V }{\partial t^2}=c^2. \frac{\partial^2 V}{\partial x^2}$

Parameters

isTXTOutput	: true to save evolution in TXT files
prefix	prefix for saving file
dirichletLC	limit condition of dirichlet
U_0	: function depending on time t at x=0 if dirichlet condition
U_L	: function depending on time t at x=L if dirichlet condition
c	the celerity
L	the length of the bar
dt	time step
nT	: the number of time steps
U	: initial value of U on x a t=0, returned U(x,t)
V	: initial value of velocity at t=0 for all x in [0,L[, returned V(x,t)

Not yet implemented

Implements EMM_WaveTest.

◆ waveSystemP2Propagation()

virtual tBoolean EMM_WaveFEMTest::waveSystemP2Propagation	(	const tBoolean &	isTXTOutput,
		const tString &	prefix,
		const tBoolean	dirichletLC[2],
		tReal	U_0const tReal &t,
		tReal	U_Lconst tReal &t,
		const tReal &	c,
		const tReal &	L,
		const tReal &	cfl,
		const tUIndex	nT,
		EMM_RealArray &	U,
		EMM_RealArray &	V
	)		const

inlineprotectedvirtual

compute the wave at any time from initial conditions U(0,.) and V(0,x) and from dirichlet limit conditions $ U(t,0)=U_0(t) $ or/and $ U(t,L)=U_L(t)$ and/or Neumann limit conditions $\frac{\partial U}{\partial x}(0) =0$ or/and $\frac{\partial U}{\partial x}(L) =0$ based on solving a system (V,W)

$\displaystyle V=\frac{\partial U }{\partial t}$
$\displaystyle W=\frac{\partial U }{\partial x}$
$\displaystyle \frac{\partial V }{\partial t}=c^2. \frac{\partial W}{\partial x}$
$\displaystyle \frac{\partial W }{\partial t}= \frac{\partial V }{\partial x}$

Parameters

isTXTOutput	: true to save evolution in TXT files
prefix	prefix for saving file
dirichletLC	limit condition of dirichlet
U_0	: function depending on time t at x=0 if dirichlet condition
U_L	: function depending on time t at x=L if dirichlet condition
c	the celerity
L	the length of the bar
cfl	condition for convergence cfl=C*dt/dx<=1
nT	: the number of time steps
U	: initial value of U on x a t=0, returned U(x,t)
V	: initial value of velocity at t=0 for all x in [0,L[, returned V(x,t)

Not yet implemented

Implements EMM_WaveTest.

◆ waveTE2Propagation()

tBoolean EMM_WaveFEMTest::waveTE2Propagation	(	const tBoolean &	isForward,
		const tBoolean &	isTXTOutput,
		const tString &	prefix,
		const tBoolean &	isPeriodic,
		const tBoolean	dirichletLC[2],
		tReal	U_0const tReal &t,
		tReal	U_Lconst tReal &t,
		const tReal &	C,
		const tReal &	L,
		const tReal &	cfl,
		const tUIndex	nT,
		EMM_RealArray &	U,
		EMM_RealArray &	V
	)		const

protectedvirtual

compute the wave at any time from initial conditions U(0,.) and V(0,x) and from dirichlet limit conditions $ U_0(t) $ or/and $ U_L(t) $ and/or Neumann limit conditions $\frac{\partial U}{\partial x}(0) =0$ or/and $\frac{\partial U}{\partial x}(L) =0$ based on Taylor expansion of order 2 for time: $\displaystyle \frac{\partial^2 U}{\partial t^2} = c^2. \frac{\partial^2 U}{\partial x^2}$

Parameters

isForward	: the first displacement is computing at dt if true. Otherwise, the displacement at -dt is built
isTXTOutput	: true to save evolution in TXT files
prefix	prefix for saving file
isPeriodic	to set if the wave is supposed to be periodic
dirichletLC	limit condition of dirichlet
U_0	: function depending on time t at x=0 if dirichlet condition
U_L	: function depending on time t at x=L if dirichlet condition
C	the celerity
L	the length of the bar
cfl	condition for convergence cfl=C*dt/dx<=1
nT	: the number of time steps
U	: initial value of U on x a t=0, returned U(x,t)
V	: initial value of velocity at t=0 for all x in [0,L[, returned V(x,t)

compute the displacement U(dt,.) from U(t,.) and U(t-dt,.) with the following formula (see EMM_WaveFEMTest::computeWaveAtFirstTime() ) :

$\displaystyle U(dt,.)= \displaystyle U(0,.) + dt. V(0,.) - \frac{c^2.dt^2}{2.dx^2} M^{-1}. X. U(0,.)$
apply the limit conditions to U(dt)
use the following formula, $\forall t > dt$ ,

$W(.) = \displaystyle - \frac{c^2.dt^2}{dx^2} X. U(t,.)$ where X is defined in EMM_WaveFEMTest::computeStressMatrix() .

For the Dirichlet points i , force $ W(x_i)=U(t,x_i)+U(t-dt,x_i)-2.U(t,x_i) $ when the limit condition at i $U_i(t), \forall t \geq 0$ is given.

then $U(t+dt,.)= M^{-1}. W(.) - U(t-dt,.) + 2.U(t,.)$ where M is defined in EMM_WaveFEMTest::computeMassMatrix() or EMM_WaveFEMTest::computeCondendedMassMatrix() for the condensed mass diagonal matrix.

The stability of the solution is given by finding a solution of the form $U(t^n,x_k)=\rho^n. e^{i.\omega.k.h}$ where $h=dx=x_{k+1}-x_k$ within the preceeding formula. It gives:

$M. D^2_t U(.,.) = -\frac{c^2.dt^2}{dx^2} X. U(t^n,.)$

If M is not condensed:

$\displaystyle \left ( \rho^{n+1} +\rho^{n-1} -2.\rho^n \right ).\left (\frac{1}{6} . 2 . cos(\omega.h) +\frac{2}{3} \right ) = \displaystyle -s^2. \rho^n \left ( 2-2cos(\omega.x) \right )$ with $s=\displaystyle \frac{c.dt}{dx}$ .

It leads to $\rho^2+1-2.\rho +6 \rho . s^2. \displaystyle \frac{1-cos(\omega.h)}{2+cos(\omega.h) } = 0$

So, $\rho^2 -2\rho.\alpha +1 = 0$ with $\alpha = \displaystyle 1-3.s^2.\frac{1-cos(\omega.h)}{2+cos(\omega.h)}$ .

We habe the discriminant $\Delta= \alpha^2-1$ . If the discriminant is positive then $\rho > 1$ .

So to be negative, we have to impose that $|\alpha|\leq 1$ .

It leads to $s \leq \displaystyle \sqrt{ \frac{2}{3}.\frac{2+cos(\omega.h)}{1-cos(\omega.h)} }$ .

As the minimum of the $f(x)=\displaystyle \frac{2+x}{1-x}$ is 2 on x in [-1,1], if $s<\frac{1}{\sqrt{3}}$ , we have $|\rho|=1$ which means that the solution is stable.

If M is condensed, we have:

$\displaystyle \left ( \rho^{n+1} +\rho^{n-1} -2.\rho^n \right ). 1 = \displaystyle -s^2. \rho^n \left ( 2-2cos(\omega.x) \right )$ with $s=\displaystyle \frac{c.dt}{dx}$ .

So we have $\displaystyle \rho^2-2.\rho \alpha +1 = 0$ with $\alpha=\displaystyle 1-2.s^2.\left(1-cos(\omega dx)\right )$ .

For the same reason as the not condensed matrix case, if we have $\alpha \geq -1$ , we have $|\rho|=1$ .

It leads to $s\leq 1$ for having a stable solution.

Implements EMM_WaveTest.

References computeCondensedMassMatrix(), EMM_WaveTest::computeEnergy(), computeMassMatrix(), computeStressMatrix(), computeWaveAtFirstTime(), CORE_Array< T >::getSize(), mIsMassMatrixCondensed, MATH_ArrayVector::New(), MATH_FullMatrix::New(), MATH_ConjugateGradient::New(), EMM_WaveTest::save(), CORE_Real::toString(), CORE_Integer::toString(), tReal, tString, and tUIndex.

Referenced by setIsCondensedMassMatrix().

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Member Data Documentation

◆ ALL_TESTS

const tFlag EMM_Test::ALL_TESTS =3

staticinherited

Referenced by EMM_Test::test().

◆ CASE_TEST

const tFlag EMM_Test::CASE_TEST =4

staticinherited

Referenced by EMM_Test::test().

◆ CASE_TESTS

const tFlag EMM_Test::CASE_TESTS =2

staticinherited

Referenced by EMM_Test::test().

◆ ELEMENTARY_TESTS

const tFlag EMM_Test::ELEMENTARY_TESTS =1

staticinherited

Referenced by EMM_Test::test().

◆ mIsMassMatrixCondensed

tBoolean EMM_WaveFEMTest::mIsMassMatrixCondensed

private

Referenced by EMM_WaveFEMTest(), and waveTE2Propagation().

◆ PRIMARY_TESTS

const tFlag EMM_Test::PRIMARY_TESTS =0

staticinherited

Referenced by EMM_Test::test().

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

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Static Protected Member Functions

Private Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ EMM_WaveFEMTest()

◆ ~EMM_WaveFEMTest()

Member Function Documentation

◆ barWave() [1/2]

◆ barWave() [2/2]

◆ compareField()

◆ computeCondensedMassMatrix()

◆ computeEnergy()

◆ computeEpsilon()

◆ computeMassMatrix()

◆ computeMField() [1/2]

◆ computeMField() [2/2]

◆ computeStressMatrix()

◆ computeWaveAtFirstTime() [1/2]

◆ computeWaveAtFirstTime() [2/2]

◆ createBox()

◆ createCube()

◆ createDomain()

◆ createMatters()

◆ createSystem()

◆ getClassName() [1/2]

◆ getClassName() [2/2]

◆ getDoubleEpsilon()

◆ getDoubleInfinity()

◆ getEpsilon()

◆ getFloatEpsilon()

◆ getFloatInfinity()

◆ getIdentityString()

◆ getInfinity()

◆ getLDoubleEpsilon()

◆ getLDoubleInfinity()

◆ getMaxChar()

◆ getMaxDouble()

◆ getMaxFlag()

◆ getMaxFloat()

◆ getMaxIndex()

◆ getMaxInt()

◆ getMaxInteger()

◆ getMaxLDouble()

◆ getMaxLInt()

◆ getMaxLLInt()

◆ getMaxReal()

◆ getMaxSInt()

◆ getMaxUChar()

◆ getMaxUIndex()

◆ getMaxUInt()

◆ getMaxUInteger()

◆ getMaxULInt()

◆ getMaxULLInt()

◆ getMaxUSInt()

◆ getMinChar()

◆ getMinDouble()

◆ getMinFlag()

◆ getMinFloat()

◆ getMinIndex()

◆ getMinInt()

◆ getMinInteger()

◆ getMinLDouble()

◆ getMinLInt()

◆ getMinLLInt()

◆ getMinReal()

◆ getMinSInt()

◆ getMinUChar()

◆ getMinUIndex()

◆ getMinUInt()

◆ getMinUInteger()

◆ getMinULInt()

◆ getMinULLInt()

◆ getMinUSInt()

◆ getOut()

◆ getPointerAddress()