CKNComplex Class Reference

This class for complex operation and saving value. More...

#include "KNComplex.h"

Collaboration diagram for CKNComplex:

Public Member Functions
	CKNComplex ()
	~CKNComplex ()
void	GetComplexNumber (double *fReal, double *fImaginary)
	Get Complex number real part and imaginary part concurrently. More...
void	SetComplexNumber (double fReal, double fImaginaray)
	Set Complex number using real part and imaginary part. More...
double	GetRealNumber () const
	Get real part. More...
double	GetImaginaryNumber () const
	Get imaginary part. More...
CKNComplex	GetConjugate ()
	Get conjugate complex number. More...
double	GetAbsolute ()
	Get Absolute value of complex number. More...
void	SetRealNumber (double fRealNumber)
	Set real part. More...
void	SetImaginaryNumber (double fImaginaryNumber)
	Set imagenary part. More...
double	GetNorm ()
	Get norm of complex number. More...
void	Add (CKNComplex complex)
	Adding operation to this class. More...
void	Minus (CKNComplex complex)
	Minus operation to this class. More...
void	Division (double fScalar)
	Scalar division operation. More...
void	Multiple (double fScalar)
	Scalar Multiply operation. More...
void	operator= (const CKNComplex &complexSrc)
	operation overload for subsitution with reference parameter More...
CKNComplex	operator+ (const CKNComplex &complexSrc)
	operation overload for subsitution with reference parameter More...
CKNComplex	operator+= (const CKNComplex &complexSrc)
	operation overload for subsitution with reference parameter More...
CKNComplex	operator- (const CKNComplex &complexSrc)
	operation overload for subsitution with reference parameter More...
CKNComplex	operator-= (const CKNComplex &complexSrc)
	operation overload for subsitution with reference parameter More...
CKNComplex	operator* (const CKNComplex &complexSrc)
	operation overload for subsitution with reference parameter More...
CKNComplex	operator* (double fScalar)
	operation overload for subsitution with reference parameter More...
CKNComplex	operator*= (const CKNComplex &complexSrc)
	operation overload for subsitution with reference parameter More...
CKNComplex	operator*= (double fScalar)
	operation overload for subsitution with reference parameter More...
CKNComplex	operator/ (const CKNComplex &complexSrc)
	operation overload for subsitution with reference parameter More...
CKNComplex	operator/ (double fScalar)
	operation overload for subsitution with reference parameter More...
CKNComplex	operator/= (const CKNComplex &complexSrc)
	operation overload for subsitution with reference parameter More...
CKNComplex	operator/= (double fScalar)
	operation overload for subsitution with reference parameter More...
bool	operator== (double fScalar)
	operation overload for subsitution with reference parameter More...
bool	operator== (CKNComplex &complexSrc)
	operation overload for subsitution with reference parameter More...

Static Public Member Functions
static CKNComplex	AddComplex (CKNComplex complex1, CKNComplex complex2)
	Adding operation between complex numbers. More...
static CKNComplex	MinusComplex (CKNComplex complex1, CKNComplex complex2)
	Minus operation between complex numbers. More...
static CKNComplex	MulltiplyComplex (CKNComplex complex1, CKNComplex complex2)
	Multiple operation between complex numbers. More...
static CKNComplex	DivideComplex (CKNComplex complex1, CKNComplex complex2)
	Divide operation between complex numbers. More...
static bool	IsSame (CKNComplex complex1, CKNComplex complex2)

Public Attributes
double	m_fRealNumber
	Real part of complex number. More...
double	m_fImaginaryNumber
	Imaginary part of complex number. More...

Detailed Description

This class for complex operation and saving value.

Date

27/May/2014

Author

Kyu Nam Cho(mysto.nosp@m.us@k.nosp@m.orea..nosp@m.ac.k.nosp@m.r), Hoon Ryu(elec1.nosp@m.020@.nosp@m.gmail.nosp@m..com)

Definition at line 18 of file KNComplex.h.

Constructor & Destructor Documentation

CKNComplex::CKNComplex

(

)

Definition at line 11 of file KNComplex.cpp.

References m_fImaginaryNumber, and m_fRealNumber.

{
    m_fRealNumber = 0.;
    m_fImaginaryNumber = 0.;
}

CKNComplex::~CKNComplex

(

)

Definition at line 17 of file KNComplex.cpp.

{
}

Member Function Documentation

void CKNComplex::Add

(

CKNComplex

complex

)

Adding operation to this class.

Parameters

complex

operand

Definition at line 68 of file KNComplex.cpp.

References GetImaginaryNumber(), GetRealNumber(), m_fImaginaryNumber, and m_fRealNumber.

Referenced by CKNMatrixOperation::MMMul(), and CKNMatrixOperation::MVMul().

{
    double      fReal, fImaginary;

    fReal = complex.GetRealNumber();
    m_fRealNumber += fReal;
    fImaginary = complex.GetImaginaryNumber();
    m_fImaginaryNumber += fImaginary;
}

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CKNComplex CKNComplex::AddComplex ( CKNComplex  complex1, CKNComplex  complex2  )

static

Adding operation between complex numbers.

Parameters

complex1	operand 1
complex2	operand 2

Returns

Calculation result

Definition at line 99 of file KNComplex.cpp.

References GetImaginaryNumber(), GetRealNumber(), and SetComplexNumber().

Referenced by operator+(), and operator+=().

{
    CKNComplex      rtnNumber;

    rtnNumber.SetComplexNumber(complex1.GetRealNumber() + complex2.GetRealNumber(), 
                                complex1.GetImaginaryNumber() + complex2.GetImaginaryNumber());
    return rtnNumber;
}

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CKNComplex CKNComplex::DivideComplex ( CKNComplex  complex1, CKNComplex  complex2  )

static

Divide operation between complex numbers.

Parameters

complex1	operand 1
complex2	operand 2

Returns

Calculation result

Definition at line 144 of file KNComplex.cpp.

References GetImaginaryNumber(), GetRealNumber(), and SetComplexNumber().

Referenced by operator/(), and operator/=().

{
    CKNComplex      rtnNumber;

    double          realNumber, imaginaryNumber, d;

    d = complex2.GetRealNumber() * complex2.GetRealNumber() + complex2.GetImaginaryNumber() * complex2.GetImaginaryNumber();

    realNumber = complex1.GetRealNumber() * complex2.GetRealNumber() + complex1.GetImaginaryNumber() * complex2.GetImaginaryNumber();
    realNumber /= d;

    imaginaryNumber = complex1.GetImaginaryNumber() * complex2.GetRealNumber() - complex1.GetRealNumber() * complex2.GetImaginaryNumber();
    imaginaryNumber /= d;

    rtnNumber.SetComplexNumber(realNumber, imaginaryNumber);
    return rtnNumber;
}

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void CKNComplex::Division

(

double

fScalar

)

Scalar division operation.

Definition at line 87 of file KNComplex.cpp.

References m_fImaginaryNumber, and m_fRealNumber.

{
    m_fRealNumber /= fScalar;
    m_fImaginaryNumber /= fScalar;
}

double CKNComplex::GetAbsolute

(

)

Get Absolute value of complex number.

Returns

Absolute of complex number

Definition at line 24 of file KNComplex.cpp.

References GetImaginaryNumber(), and GetRealNumber().

Referenced by CKNLanczosMethod::BuildWaveFunction(), and CKNLanczosMethod::RecalcuWaveFunction().

{
    double      fRealNumber = GetRealNumber();
    double      fImginaryNumber = GetImaginaryNumber();

    return sqrt( fRealNumber*fRealNumber + fImginaryNumber*fImginaryNumber );
}

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void CKNComplex::GetComplexNumber	(	double *	fReal,
		double *	fImaginary
	)

Get Complex number real part and imaginary part concurrently.

Parameters

[out]	fReal	Real part
[out]	fImaginary	Imaginary part

Definition at line 49 of file KNComplex.cpp.

References m_fImaginaryNumber, and m_fRealNumber.

{
    *fReal = m_fRealNumber;
    *fImaginary = m_fImaginaryNumber;
}

CKNComplex CKNComplex::GetConjugate

(

)

Get conjugate complex number.

Returns

Conjugate complex number

Definition at line 35 of file KNComplex.cpp.

References GetImaginaryNumber(), GetRealNumber(), SetImaginaryNumber(), and SetRealNumber().

{
    CKNComplex      rtnNumber;

    rtnNumber.SetRealNumber(GetRealNumber());
    rtnNumber.SetImaginaryNumber(GetImaginaryNumber() * -1);

    return rtnNumber;
}

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double CKNComplex::GetImaginaryNumber ( ) const

inline

Get imaginary part.

Definition at line 27 of file KNComplex.h.

References m_fImaginaryNumber.

Referenced by Add(), AddComplex(), CKNMPIManager::AllReduceComlex(), CKNMatrixOperation::CKNDMatrix::AppendMatrix(), CKNMatrixOperation::BuildLocalCSR(), CKNMPIManager::ConvertVectorToMPIComplexBuffer(), DivideComplex(), GetAbsolute(), GetConjugate(), CKNMatrixOperation::CKNCSR::InsertMatrix(), CKNMatrixOperation::CKNVector::InsertVector(), IsSame(), CKNMatrixOperation::IsSame(), Minus(), MinusComplex(), CKNMatrixOperation::CKNVector::MinusVector(), MulltiplyComplex(), operator*(), operator*=(), operator/(), operator/=(), operator=(), CKNMatrixOperation::CKNVector::PlusVector(), CKNMatrixOperation::CKNCSR::PushMatrix(), CKNMatrixOperation::CKNCSR::PushMatrixConcurrent(), CKNMatrixOperation::CKNVector::ReorthogonalizationVector(), CKNLanczosMethod::SaveLanczosResult(), CKNLanczosTest::SaveResult(), CKNMatrixOperation::CKNVector::ScalarDivision(), CKNMatrixOperation::CKNVector::ScalarMultiple(), CKNMatrixOperation::CKNVector::SetAt(), CKNMatrixOperation::CKNCSR::SetAt(), CKNMatrixOperation::CKNVector::SetAtEx(), CKNMatrixOperation::CKNDMatrix::SetElement(), CKNIPCCUtility::ShowComplex(), CKNMatrixDebug::ShowComplex(), CKNIPCCUtility::ShowCSR(), CKNMatrixDebug::ShowCSR(), CKNIPCCUtility::ShowDenseMatrix(), CKNMatrixDebug::ShowDenseMatrix(), CKNMatrixDebug::ShowDoubleVector(), CKNIPCCUtility::ShowDoubleVector(), and CKNMatrixOperation::UpdateLocalCSR().

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double CKNComplex::GetNorm ( )

inline

Get norm of complex number.

Definition at line 34 of file KNComplex.h.

References m_fImaginaryNumber, and m_fRealNumber.

Referenced by CKNLanczosTest::AuditResult_WF(), and CKNLanczosResultAudit::AuditResult_WF().

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double CKNComplex::GetRealNumber ( ) const

inline

Get real part.

Definition at line 26 of file KNComplex.h.

References m_fRealNumber.

Referenced by Add(), AddComplex(), CKNMPIManager::AllReduceComlex(), CKNMatrixOperation::CKNDMatrix::AppendMatrix(), CKNMatrixOperation::BuildLocalCSR(), CKNHamiltonianBuilder::BuildOffsiteMatrixFor10Band(), CKNZincblendeParam::CalculateLatticeCoonstants(), CKNMPIManager::ConvertVectorToMPIComplexBuffer(), DivideComplex(), CKNHamiltonianBuilder::FillMatrixFor10Band(), GetAbsolute(), GetConjugate(), CKNMatrixOperation::Gram_schmidt(), CKNMatrixOperation::CKNCSR::InsertMatrix(), CKNMatrixOperation::CKNVector::InsertVector(), IsSame(), CKNMatrixOperation::IsSame(), CKNLanczosMethod::LanczosIterationLoop(), CKNLanczosMethod::MergeDegeneratedEigenvalues(), Minus(), MinusComplex(), CKNMatrixOperation::CKNVector::MinusVector(), MulltiplyComplex(), operator*(), operator*=(), operator/(), operator/=(), operator=(), CKNMatrixOperation::CKNVector::PlusVector(), CKNMatrixOperation::CKNCSR::PushMatrix(), CKNMatrixOperation::CKNCSR::PushMatrixConcurrent(), CKNMatrixOperation::CKNVector::ReorthogonalizationVector(), IKNGeometricUnitCellInfo::RotateAxis(), IKNGeometricUnitCellInfo::RotateNeighbor(), CKNHamiltonianBuilder::RotateTransMatrixFor10Band(), CKNLanczosMethod::SaveLanczosResult(), CKNLanczosTest::SaveResult(), CKNMatrixOperation::CKNVector::ScalarDivision(), CKNMatrixOperation::CKNVector::ScalarMultiple(), CKNMatrixOperation::CKNVector::SetAt(), CKNMatrixOperation::CKNCSR::SetAt(), CKNMatrixOperation::CKNVector::SetAtEx(), CKNMatrixOperation::CKNDMatrix::SetElement(), CKNMatrixDebug::ShowComplex(), CKNIPCCUtility::ShowComplex(), CKNIPCCUtility::ShowCSR(), CKNMatrixDebug::ShowCSR(), CKNMatrixDebug::ShowDenseMatrix(), CKNIPCCUtility::ShowDenseMatrix(), CKNMatrixDebug::ShowDoubleVector(), CKNIPCCUtility::ShowDoubleVector(), and CKNMatrixOperation::UpdateLocalCSR().

bool CKNComplex::IsSame ( CKNComplex  complex1, CKNComplex  complex2  )

static

Parameters

complex1	Comparing source 1
complex2	Comparing source 2

Returns

Comparing result

Definition at line 324 of file KNComplex.cpp.

References GENERAL_TOLERANCE, GetImaginaryNumber(), and GetRealNumber().

Referenced by operator==().

{
    bool            bRtn = false;

    if (fabs(complex1.GetRealNumber()- complex2.GetRealNumber()) > GENERAL_TOLERANCE)
        return bRtn;

    if (fabs(complex1.GetImaginaryNumber()- complex2.GetImaginaryNumber()) < GENERAL_TOLERANCE)
        bRtn = true;

    return bRtn;
}

void CKNComplex::Minus

(

CKNComplex

complex

)

Minus operation to this class.

Parameters

complex

operand

Definition at line 81 of file KNComplex.cpp.

References GetImaginaryNumber(), GetRealNumber(), m_fImaginaryNumber, and m_fRealNumber.

{
    m_fRealNumber -= complex.GetRealNumber();
    m_fImaginaryNumber -= complex.GetImaginaryNumber();
}

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CKNComplex CKNComplex::MinusComplex ( CKNComplex  complex1, CKNComplex  complex2  )

static

Minus operation between complex numbers.

Parameters

complex1	operand 1
complex2	operand 2

Returns

Calculation result

Definition at line 113 of file KNComplex.cpp.

References GetImaginaryNumber(), GetRealNumber(), and SetComplexNumber().

Referenced by operator-(), and operator-=().

{
    CKNComplex      rtnNumber;

    rtnNumber.SetComplexNumber(complex1.GetRealNumber() - complex2.GetRealNumber(), 
                                complex1.GetImaginaryNumber() - complex2.GetImaginaryNumber());
    return rtnNumber;
}

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CKNComplex CKNComplex::MulltiplyComplex ( CKNComplex  complex1, CKNComplex  complex2  )

static

Multiple operation between complex numbers.

Parameters

complex1	operand 1
complex2	operand 2

Returns

Calculation result

Definition at line 127 of file KNComplex.cpp.

References GetImaginaryNumber(), GetRealNumber(), and SetComplexNumber().

Referenced by CKNMatrixOperation::MMMul(), CKNMatrixOperation::MVMul(), operator*(), and operator*=().

{
    CKNComplex      rtnNumber;

    double          realNumber, imaginaryNumber;

    realNumber = complex1.GetRealNumber() * complex2.GetRealNumber() - complex1.GetImaginaryNumber() * complex2.GetImaginaryNumber();
    imaginaryNumber = complex1.GetRealNumber() * complex2.GetImaginaryNumber() + complex1.GetImaginaryNumber() * complex2.GetRealNumber();
    rtnNumber.SetComplexNumber(realNumber, imaginaryNumber);
    return rtnNumber;
}

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void CKNComplex::Multiple

(

double

fScalar

)

Scalar Multiply operation.

CKNComplex CKNComplex::operator*

(

const CKNComplex &

complexSrc

)

operation overload for subsitution with reference parameter

Parameters

complexSrc

opperand

Returns

Calculation result

Definition at line 210 of file KNComplex.cpp.

References MulltiplyComplex().

{
    CKNComplex      rtnValue;

    return MulltiplyComplex((*this), complexSrc);
}

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CKNComplex CKNComplex::operator*

(

double

fScalar

)

operation overload for subsitution with reference parameter

Parameters

fScalar

Scalar number that want to multiply

Returns

Calculation result

Definition at line 221 of file KNComplex.cpp.

References GetImaginaryNumber(), GetRealNumber(), and SetComplexNumber().

{
    CKNComplex      rtnValue;

    rtnValue.SetComplexNumber(this->GetRealNumber() * fScalar, this->GetImaginaryNumber() * fScalar);
    return rtnValue;
}

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CKNComplex CKNComplex::operator*=

(

const CKNComplex &

complexSrc

)

operation overload for subsitution with reference parameter

Parameters

complexSrc

opperand

Returns

Calculation result

Definition at line 233 of file KNComplex.cpp.

References MulltiplyComplex().

{
    CKNComplex      rtnValue;

    return MulltiplyComplex((*this), complexSrc);
}

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CKNComplex CKNComplex::operator*=

(

double

fScalar

)

operation overload for subsitution with reference parameter

Parameters

fScalar

Scalar number that want to multiply

Returns

Calculation result

Definition at line 244 of file KNComplex.cpp.

References GetImaginaryNumber(), GetRealNumber(), and SetComplexNumber().

{
    CKNComplex      rtnValue;

    rtnValue.SetComplexNumber(this->GetRealNumber() * fScalar, this->GetImaginaryNumber() * fScalar);
    return rtnValue;
}

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CKNComplex CKNComplex::operator+

(

const CKNComplex &

complexSrc

)

operation overload for subsitution with reference parameter

Parameters

complexSrc

opperand

Returns

Calculation result

Definition at line 174 of file KNComplex.cpp.

References AddComplex().

{
    return AddComplex((*this), complexSrc);
}

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CKNComplex CKNComplex::operator+=

(

const CKNComplex &

complexSrc

)

operation overload for subsitution with reference parameter

Parameters

complexSrc

opperand

Returns

Calculation result

Definition at line 183 of file KNComplex.cpp.

References AddComplex().

{
    return AddComplex((*this), complexSrc);
}

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CKNComplex CKNComplex::operator-

(

const CKNComplex &

complexSrc

)

operation overload for subsitution with reference parameter

Parameters

complexSrc

opperand

Returns

Calculation result

Definition at line 192 of file KNComplex.cpp.

References MinusComplex().

{
    return MinusComplex((*this), complexSrc);
}

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CKNComplex CKNComplex::operator-=

(

const CKNComplex &

complexSrc

)

operation overload for subsitution with reference parameter

Parameters

complexSrc

opperand

Returns

Calculation result

Definition at line 201 of file KNComplex.cpp.

References MinusComplex().

{
    return MinusComplex((*this), complexSrc);
}

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CKNComplex CKNComplex::operator/

(

const CKNComplex &

complexSrc

)

operation overload for subsitution with reference parameter

Parameters

complexSrc

opperand

Returns

Calculation result

Definition at line 256 of file KNComplex.cpp.

References DivideComplex().

{
    CKNComplex      rtnValue;

    return DivideComplex((*this), complexSrc);
}

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CKNComplex CKNComplex::operator/

(

double

fScalar

)

operation overload for subsitution with reference parameter

Parameters

fScalar

Scalar number that want to divide

Returns

Calculation result

Definition at line 267 of file KNComplex.cpp.

References GetImaginaryNumber(), GetRealNumber(), and SetComplexNumber().

{
    CKNComplex      rtnValue;

    rtnValue.SetComplexNumber(this->GetRealNumber() / fScalar, this->GetImaginaryNumber() / fScalar);
    return rtnValue;
}

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CKNComplex CKNComplex::operator/=

(

const CKNComplex &

complexSrc

)

operation overload for subsitution with reference parameter

Parameters

complexSrc

opperand

Returns

Calculation result

Definition at line 279 of file KNComplex.cpp.

References DivideComplex().

{
    CKNComplex      rtnValue;

    return DivideComplex((*this), complexSrc);
}

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CKNComplex CKNComplex::operator/=

(

double

fScalar

)

operation overload for subsitution with reference parameter

Parameters

fScalar

Scalar number that want to divide

Returns

Calculation result

Definition at line 290 of file KNComplex.cpp.

References GetImaginaryNumber(), GetRealNumber(), and SetComplexNumber().

{
    CKNComplex      rtnValue;

    rtnValue.SetComplexNumber(this->GetRealNumber() / fScalar, this->GetImaginaryNumber() / fScalar);
    return rtnValue;
}

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void CKNComplex::operator=

(

const CKNComplex &

complexSrc

)

operation overload for subsitution with reference parameter

Parameters

complexSrc

opperand

Definition at line 165 of file KNComplex.cpp.

References GetImaginaryNumber(), GetRealNumber(), and SetComplexNumber().

{
    SetComplexNumber(complexSrc.GetRealNumber(), complexSrc.GetImaginaryNumber());
}

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bool CKNComplex::operator==

(

double

fScalar

)

operation overload for subsitution with reference parameter

Parameters

fScalar

Scalar number that want to compare

Returns

Comparing result

Definition at line 302 of file KNComplex.cpp.

References IsSame(), and SetComplexNumber().

{
    CKNComplex          complex;

    complex.SetComplexNumber(fScalar, 0);
    return IsSame(*this, complex);
}

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bool CKNComplex::operator==

(

CKNComplex &

complexSrc

)

operation overload for subsitution with reference parameter

Parameters

complexSrc

Complex number that want to divide

Returns

Comparing result

Definition at line 314 of file KNComplex.cpp.

References IsSame().

{
    return IsSame(*this, complexSrc);
}

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void CKNComplex::SetComplexNumber	(	double	fReal,
		double	fImaginaray
	)

Set Complex number using real part and imaginary part.

Parameters

fReal	Real part
fImaginary	Imaginary part

Definition at line 59 of file KNComplex.cpp.

References SetImaginaryNumber(), and SetRealNumber().

Referenced by AddComplex(), CKNMPIManager::AllReduceComlex(), CKNLanczosTest::AuditResult_WF(), CKNLanczosResultAudit::AuditResult_WF(), DivideComplex(), CKNMatrixOperation::CKNVector::GetAt(), CKNMatrixOperation::CKNCSR::GetElement(), MinusComplex(), MulltiplyComplex(), operator*(), operator*=(), operator/(), operator/=(), operator=(), operator==(), CKNGeometricShape::RefillPeriodicBinding(), CKNMatrixOperation::CKNVector::ScalarDivision(), CKNMatrixOperation::CKNVector::ScalarMultiple(), CKNLanczosTest::TestCSRBuilding(), and CKNMatrixOperation::VVDot().

{
    SetRealNumber(fReal);
    SetImaginaryNumber(fImaginaray);
}

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void CKNComplex::SetImaginaryNumber ( double  fImaginaryNumber )

inline

Set imagenary part.

Definition at line 32 of file KNComplex.h.

References m_fImaginaryNumber.

Referenced by GetConjugate(), SetComplexNumber(), and CKNMatrixOperation::UpdateLocalCSR().

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void CKNComplex::SetRealNumber ( double  fRealNumber )

inline

Set real part.

Definition at line 31 of file KNComplex.h.

References m_fRealNumber.

Referenced by CKNTBMS_Solver::ApplyPhPotential(), CKNHamiltonianBuilder::FillMatrixFor10Band(), GetConjugate(), SetComplexNumber(), and CKNMatrixOperation::UpdateLocalCSR().

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Member Data Documentation

double CKNComplex::m_fImaginaryNumber

Imaginary part of complex number.

Definition at line 72 of file KNComplex.h.

Referenced by Add(), CKNComplex(), Division(), GetComplexNumber(), GetImaginaryNumber(), GetNorm(), Minus(), and SetImaginaryNumber().

double CKNComplex::m_fRealNumber

Real part of complex number.

Definition at line 71 of file KNComplex.h.

Referenced by Add(), CKNComplex(), Division(), GetComplexNumber(), GetNorm(), GetRealNumber(), Minus(), and SetRealNumber().

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

• D:/For Doxygen/KNComplex.h
• D:/For Doxygen/KNComplex.cpp