Uses of Class
org.hipparchus.complex.Complex

Packages that use Complex

Package	Description
org.hipparchus.analysis.solvers	Root finding algorithms, for univariate real functions.
org.hipparchus.complex	Complex number type and implementations of complex transcendental functions.
org.hipparchus.linear	Linear algebra support.
org.hipparchus.ode	This package provides classes to solve Ordinary Differential Equations problems.
org.hipparchus.samples.complex	Complex functions plots.
org.hipparchus.special.elliptic.carlson	Implementations of Carlson elliptic integrals.
org.hipparchus.special.elliptic.jacobi	Implementations of Jacobi elliptic functions.
org.hipparchus.special.elliptic.legendre	Implementations of Legendre elliptic integrals.
org.hipparchus.transform	Implementations of transform methods, including Fast Fourier transforms.

Uses of Complex in org.hipparchus.analysis.solvers

Methods in org.hipparchus.analysis.solvers that return Complex

Modifier and Type	Method	Description
Complex[]	LaguerreSolver.solveAllComplex(double[] coefficients, double initial)	Find all complex roots for the polynomial with the given coefficients, starting from the given initial value.
Complex[]	LaguerreSolver.solveAllComplex(double[] coefficients, int maxEval, double initial)	Find all complex roots for the polynomial with the given coefficients, starting from the given initial value.
Complex	LaguerreSolver.solveComplex(double[] coefficients, double initial)	Find a complex root for the polynomial with the given coefficients, starting from the given initial value.

Uses of Complex in org.hipparchus.complex

Fields in org.hipparchus.complex declared as Complex

Modifier and Type	Field	Description
static final Complex	Complex.I	The square root of -1.
static final Complex	Complex.INF	A complex number representing "+INF + INFi"
static final Complex	Complex.MINUS_I	The square root of -1.
static final Complex	Complex.MINUS_ONE	A complex number representing "-1.0 + 0.0i".
static final Complex	Complex.NaN	A complex number representing "NaN + NaNi".
static final Complex	Complex.ONE	A complex number representing "1.0 + 0.0i".
static final Complex	Complex.PI	A complex number representing "π + 0.0i".
static final Complex	Complex.ZERO	A complex number representing "0.0 + 0.0i".

Methods in org.hipparchus.complex that return Complex

Modifier and Type	Method	Description
Complex	Complex.abs()	Return the absolute value of this complex number.
Complex	Complex.acos()	Compute the inverse cosine of this complex number.
Complex	Complex.acosh()	Inverse hyperbolic cosine operation.
Complex	Complex.add(double addend)	Returns a Complex whose value is (this + addend), with addend interpreted as a real number.
Complex	Complex.add(Complex addend)	Returns a Complex whose value is (this + addend).
Complex	Complex.asin()	Compute the inverse sine of this complex number.
Complex	Complex.asinh()	Inverse hyperbolic sine operation.
Complex	Complex.atan()	Compute the inverse tangent of this complex number.
Complex	Complex.atan2(Complex x)	Two arguments arc tangent operation.
Complex	Complex.atanh()	Inverse hyperbolic tangent operation.
Complex	Complex.cbrt()	Cubic root.
Complex	Complex.ceil()	Get the smallest whole number larger than instance.
Complex	Complex.conjugate()	Returns the conjugate of this complex number.
static Complex[]	ComplexUtils.convertToComplex(double[] real)	Convert an array of primitive doubles to an array of Complex objects.
Complex	Complex.copySign(double r)	Returns the instance with the sign of the argument.
Complex	Complex.copySign(Complex z)	Returns the instance with the sign of the argument.
Complex	Complex.cos()	Compute the cosine of this complex number.
Complex	Complex.cosh()	Compute the hyperbolic cosine of this complex number.
protected Complex	Complex.createComplex(double realPart, double imaginaryPart)	Create a complex number given the real and imaginary parts.
Complex	Complex.divide(double divisor)	Returns a Complex whose value is (this / divisor), with divisor interpreted as a real number.
Complex	Complex.divide(Complex divisor)	Returns a Complex whose value is (this / divisor).
Complex	Complex.exp()	Compute the exponential function of this complex number.
Complex	Complex.expm1()	Exponential minus 1.
Complex	Complex.floor()	Get the largest whole number smaller than instance.
Complex	ComplexField.getOne()	Get the multiplicative identity of the field.
Complex	Complex.getPi()	Get the Archimedes constant π.
Complex	ComplexField.getZero()	Get the additive identity of the field.
Complex	Complex.hypot(Complex y)	Returns the hypotenuse of a triangle with sides this and y - sqrt(this2 +y2) avoiding intermediate overflow or underflow.
Complex	ComplexUnivariateIntegrator.integrate(int maxEval, CalculusFieldUnivariateFunction<Complex> f, Complex start, Complex end)	Integrate a function along a straight path between points.
Complex	ComplexUnivariateIntegrator.integrate(int maxEval, CalculusFieldUnivariateFunction<Complex> f, Complex start, Complex... path)	Integrate a function along a polyline path between any number of points.
Complex	Complex.linearCombination(double[] a, Complex[] b)	Compute a linear combination.
Complex	Complex.linearCombination(double a1, Complex b1, double a2, Complex b2)	Compute a linear combination.
Complex	Complex.linearCombination(double a1, Complex b1, double a2, Complex b2, double a3, Complex b3)	Compute a linear combination.
Complex	Complex.linearCombination(double a1, Complex b1, double a2, Complex b2, double a3, Complex b3, double a4, Complex b4)	Compute a linear combination.
Complex	Complex.linearCombination(Complex[] a, Complex[] b)	Compute a linear combination.
Complex	Complex.linearCombination(Complex a1, Complex b1, Complex a2, Complex b2)	Compute a linear combination.
Complex	Complex.linearCombination(Complex a1, Complex b1, Complex a2, Complex b2, Complex a3, Complex b3)	Compute a linear combination.
Complex	Complex.linearCombination(Complex a1, Complex b1, Complex a2, Complex b2, Complex a3, Complex b3, Complex a4, Complex b4)	Compute a linear combination.
Complex	Complex.log()	Compute the natural logarithm of this complex number.
Complex	Complex.log10()	Base 10 logarithm.
Complex	Complex.log1p()	Shifted natural logarithm.
Complex	Complex.multiply(double factor)	Returns a Complex whose value is this * factor, with factor interpreted as a real number.
Complex	Complex.multiply(int factor)	Returns a Complex whose value is this * factor, with factor interpreted as a integer number.
Complex	Complex.multiply(Complex factor)	Returns a Complex whose value is this * factor.
Complex	Complex.multiplyMinusI()	Compute this *- -i.
Complex	Complex.multiplyPlusI()	Compute this * i.
Complex	Complex.negate()	Returns a Complex whose value is (-this).
Complex	Complex.newInstance(double realPart)	Create an instance corresponding to a constant real value.
Complex	ComplexFormat.parse(String source)	Parses a string to produce a Complex object.
Complex	ComplexFormat.parse(String source, ParsePosition pos)	Parses a string to produce a Complex object.
static Complex	ComplexUtils.polar2Complex(double r, double theta)	Creates a complex number from the given polar representation.
Complex	Complex.pow(double x)	Returns of value of this complex number raised to the power of x.
Complex	Complex.pow(int n)	Integer power operation.
Complex	Complex.pow(Complex x)	Returns of value of this complex number raised to the power of x.
Complex	Complex.reciprocal()	Returns the multiplicative inverse of this element.
Complex	Complex.remainder(double a)	IEEE remainder operator.
Complex	Complex.remainder(Complex a)	IEEE remainder operator.
Complex	Complex.rint()	Get the whole number that is the nearest to the instance, or the even one if x is exactly half way between two integers.
Complex	Complex.rootN(int n)	Nth root.
Complex	Complex.scalb(int n)	Multiply the instance by a power of 2.
Complex	Complex.sign()	Compute the sign of the instance.
Complex	Complex.sin()	Compute the sine of this complex number.
Complex	Complex.sinh()	Compute the hyperbolic sine of this complex number.
Complex	Complex.sqrt()	Compute the square root of this complex number.
Complex	Complex.sqrt1z()	Compute the square root of 1 - this2 for this complex number.
Complex	Complex.square()	Compute this × this.
Complex	Complex.subtract(double subtrahend)	Returns a Complex whose value is (this - subtrahend).
Complex	Complex.subtract(Complex subtrahend)	Returns a Complex whose value is (this - subtrahend).
Complex	Complex.tan()	Compute the tangent of this complex number.
Complex	Complex.tanh()	Compute the hyperbolic tangent of this complex number.
Complex	Complex.toDegrees()	Convert radians to degrees, with error of less than 0.5 ULP
Complex	Complex.toRadians()	Convert degrees to radians, with error of less than 0.5 ULP
Complex	Complex.ulp()	Compute least significant bit (Unit in Last Position) for a number.
static Complex	Complex.valueOf(double realPart)	Create a complex number given only the real part.
static Complex	Complex.valueOf(double realPart, double imaginaryPart)	Create a complex number given the real and imaginary parts.

Methods in org.hipparchus.complex that return types with arguments of type Complex

Modifier and Type	Method	Description
Class<Complex>	ComplexField.getRuntimeClass()	Returns the runtime class of the FieldElement.
List<Complex>	Complex.nthRoot(int n)	Computes the n-th roots of this complex number.
FieldSinCos<Complex>	Complex.sinCos()	Combined Sine and Cosine operation.
FieldSinhCosh<Complex>	Complex.sinhCosh()	Combined hyperbolic sine and cosine operation.

Methods in org.hipparchus.complex with parameters of type Complex

Modifier and Type	Method	Description
Complex	Complex.add(Complex addend)	Returns a Complex whose value is (this + addend).
Complex	Complex.atan2(Complex x)	Two arguments arc tangent operation.
int	ComplexComparator.compare(Complex o1, Complex o2)	Compare two complex numbers, using real ordering as the primary sort order and imaginary ordering as the secondary sort order.
int	Complex.compareTo(Complex o)
Complex	Complex.copySign(Complex z)	Returns the instance with the sign of the argument.
Complex	Complex.divide(Complex divisor)	Returns a Complex whose value is (this / divisor).
static boolean	Complex.equals(Complex x, Complex y)	Returns true iff the values are equal as defined by equals(x, y, 1).
static boolean	Complex.equals(Complex x, Complex y, double eps)	Returns true if, both for the real part and for the imaginary part, there is no double value strictly between the arguments or the difference between them is within the range of allowed error (inclusive).
static boolean	Complex.equals(Complex x, Complex y, int maxUlps)	Test for the floating-point equality between Complex objects.
static boolean	Complex.equalsWithRelativeTolerance(Complex x, Complex y, double eps)	Returns true if, both for the real part and for the imaginary part, there is no double value strictly between the arguments or the relative difference between them is smaller or equal to the given tolerance.
String	ComplexFormat.format(Complex c)	This method calls ComplexFormat.format(Object,StringBuffer,FieldPosition).
StringBuffer	ComplexFormat.format(Complex complex, StringBuffer toAppendTo, FieldPosition pos)	Formats a Complex object to produce a string.
Complex	Complex.hypot(Complex y)	Returns the hypotenuse of a triangle with sides this and y - sqrt(this2 +y2) avoiding intermediate overflow or underflow.
Complex	ComplexUnivariateIntegrator.integrate(int maxEval, CalculusFieldUnivariateFunction<Complex> f, Complex start, Complex end)	Integrate a function along a straight path between points.
Complex	ComplexUnivariateIntegrator.integrate(int maxEval, CalculusFieldUnivariateFunction<Complex> f, Complex start, Complex... path)	Integrate a function along a polyline path between any number of points.
Complex	Complex.linearCombination(double[] a, Complex[] b)	Compute a linear combination.
Complex	Complex.linearCombination(double a1, Complex b1, double a2, Complex b2)	Compute a linear combination.
Complex	Complex.linearCombination(double a1, Complex b1, double a2, Complex b2, double a3, Complex b3)	Compute a linear combination.
Complex	Complex.linearCombination(double a1, Complex b1, double a2, Complex b2, double a3, Complex b3, double a4, Complex b4)	Compute a linear combination.
Complex	Complex.linearCombination(Complex[] a, Complex[] b)	Compute a linear combination.
Complex	Complex.linearCombination(Complex a1, Complex b1, Complex a2, Complex b2)	Compute a linear combination.
Complex	Complex.linearCombination(Complex a1, Complex b1, Complex a2, Complex b2, Complex a3, Complex b3)	Compute a linear combination.
Complex	Complex.linearCombination(Complex a1, Complex b1, Complex a2, Complex b2, Complex a3, Complex b3, Complex a4, Complex b4)	Compute a linear combination.
Complex	Complex.multiply(Complex factor)	Returns a Complex whose value is this * factor.
Complex	Complex.pow(Complex x)	Returns of value of this complex number raised to the power of x.
Complex	Complex.remainder(Complex a)	IEEE remainder operator.
Complex	Complex.subtract(Complex subtrahend)	Returns a Complex whose value is (this - subtrahend).

Method parameters in org.hipparchus.complex with type arguments of type Complex

Modifier and Type	Method	Description
Complex	ComplexUnivariateIntegrator.integrate(int maxEval, CalculusFieldUnivariateFunction<Complex> f, Complex start, Complex end)	Integrate a function along a straight path between points.
Complex	ComplexUnivariateIntegrator.integrate(int maxEval, CalculusFieldUnivariateFunction<Complex> f, Complex start, Complex... path)	Integrate a function along a polyline path between any number of points.

Uses of Complex in org.hipparchus.linear

Methods in org.hipparchus.linear that return Complex

Modifier and Type	Method	Description
Complex	EigenDecompositionNonSymmetric.getDeterminant()	Computes the determinant of the matrix.
Complex	EigenDecompositionNonSymmetric.getEigenvalue(int i)	Returns the ith eigenvalue of the original matrix.
Complex[]	ComplexEigenDecomposition.getEigenvalues()	Getter of the eigen values.
Complex[]	EigenDecompositionNonSymmetric.getEigenvalues()	Gets a copy of the eigenvalues of the original matrix.

Methods in org.hipparchus.linear that return types with arguments of type Complex

Modifier and Type	Method	Description
FieldMatrix<Complex>	ComplexEigenDecomposition.getD()	Getter D.
FieldVector<Complex>	ComplexEigenDecomposition.getEigenvector(int i)	Getter of the eigen vectors.
FieldVector<Complex>	EigenDecompositionNonSymmetric.getEigenvector(int i)	Gets a copy of the ith eigenvector of the original matrix.
FieldMatrix<Complex>	ComplexEigenDecomposition.getV()	Getter V.
FieldMatrix<Complex>	ComplexEigenDecomposition.getVT()	Getter VT.
FieldMatrix<Complex>	OrderedComplexEigenDecomposition.getVT()	Getter VT.

Method parameters in org.hipparchus.linear with type arguments of type Complex

Modifier and Type	Method	Description
protected void	ComplexEigenDecomposition.findEigenVectors(FieldMatrix<Complex> matrix)	Compute the eigen vectors using the inverse power method.

Constructor parameters in org.hipparchus.linear with type arguments of type Complex

Modifier	Constructor	Description
	OrderedComplexEigenDecomposition(RealMatrix matrix, double eigenVectorsEquality, double epsilon, double epsilonAVVDCheck, Comparator<Complex> eigenValuesComparator)	Constructor for decomposition.

Uses of Complex in org.hipparchus.ode

Methods in org.hipparchus.ode that return Complex

Modifier and Type	Method	Description
Complex[]	ComplexOrdinaryDifferentialEquation.computeDerivatives(double t, Complex[] y)	Get the current time derivative of the state vector.
Complex[]	ComplexSecondaryODE.computeDerivatives(double t, Complex[] primary, Complex[] primaryDot, Complex[] secondary)	Compute the derivatives related to the secondary state parameters.
protected Complex[][]	ComplexODEState.copy(Complex[][] original)	Copy a two-dimensions array.
Complex[]	ComplexODEStateAndDerivative.getCompleteDerivative()	Get complete derivative at time.
Complex[]	ComplexODEState.getCompleteState()	Get complete state at time.
Complex[]	ComplexODEStateAndDerivative.getPrimaryDerivative()	Get derivative of the primary state at time.
Complex[]	ComplexODEState.getPrimaryState()	Get primary state at time.
Complex[]	ComplexODEStateAndDerivative.getSecondaryDerivative(int index)	Get derivative of the secondary state at time.
Complex[]	ComplexODEState.getSecondaryState(int index)	Get secondary state at time.

Methods in org.hipparchus.ode with parameters of type Complex

Modifier and Type	Method	Description
Complex[]	ComplexOrdinaryDifferentialEquation.computeDerivatives(double t, Complex[] y)	Get the current time derivative of the state vector.
Complex[]	ComplexSecondaryODE.computeDerivatives(double t, Complex[] primary, Complex[] primaryDot, Complex[] secondary)	Compute the derivatives related to the secondary state parameters.
protected Complex[][]	ComplexODEState.copy(Complex[][] original)	Copy a two-dimensions array.
default void	ComplexOrdinaryDifferentialEquation.init(double t0, Complex[] y0, double finalTime)	Initialize equations at the start of an ODE integration.
default void	ComplexSecondaryODE.init(double t0, Complex[] primary0, Complex[] secondary0, double finalTime)	Initialize equations at the start of an ODE integration.

Constructors in org.hipparchus.ode with parameters of type Complex

Modifier	Constructor	Description
	ComplexODEState(double time, Complex[] primaryState)	Simple constructor.
	ComplexODEState(double time, Complex[] primaryState, Complex[][] secondaryState)	Simple constructor.
	ComplexODEStateAndDerivative(double time, Complex[] primaryState, Complex[] primaryDerivative)	Simple constructor.
	ComplexODEStateAndDerivative(double time, Complex[] primaryState, Complex[] primaryDerivative, Complex[][] secondaryState, Complex[][] secondaryDerivative)	Simple constructor.

Uses of Complex in org.hipparchus.samples.complex

Methods in org.hipparchus.samples.complex with parameters of type Complex

Modifier and Type	Method	Description
double	DomainColoring.hue(Complex z)	Continuous hue.
double	DomainColoring.saturation(Complex z)	Get saturation for a complex value.
double	ContinuousModuleValue.value(Complex z)	Get value for a complex value.
protected abstract double	DomainColoring.value(Complex z)	Get value for a complex value.
double	SawToothModuleValue.value(Complex z)	Get value for a complex value.
double	SawToothPhaseModuleValue.value(Complex z)	Get value for a complex value.

Uses of Complex in org.hipparchus.special.elliptic.carlson

Methods in org.hipparchus.special.elliptic.carlson that return Complex

Modifier and Type	Method	Description
static Complex	CarlsonEllipticIntegral.rC(Complex x, Complex y)	Compute Carlson elliptic integral RC.
static Complex	CarlsonEllipticIntegral.rD(Complex x, Complex y, Complex z)	Compute Carlson elliptic integral RD.
static Complex	CarlsonEllipticIntegral.rF(Complex x, Complex y, Complex z)	Compute Carlson elliptic integral RF.
static Complex	CarlsonEllipticIntegral.rG(Complex x, Complex y, Complex z)	Compute Carlson elliptic integral RG.
static Complex	CarlsonEllipticIntegral.rJ(Complex x, Complex y, Complex z, Complex p)	Compute Carlson elliptic integral RJ.
static Complex	CarlsonEllipticIntegral.rJ(Complex x, Complex y, Complex z, Complex p, Complex delta)	Compute Carlson elliptic integral RJ.

Methods in org.hipparchus.special.elliptic.carlson with parameters of type Complex

Modifier and Type	Method	Description
static Complex	CarlsonEllipticIntegral.rC(Complex x, Complex y)	Compute Carlson elliptic integral RC.
static Complex	CarlsonEllipticIntegral.rD(Complex x, Complex y, Complex z)	Compute Carlson elliptic integral RD.
static Complex	CarlsonEllipticIntegral.rF(Complex x, Complex y, Complex z)	Compute Carlson elliptic integral RF.
static Complex	CarlsonEllipticIntegral.rG(Complex x, Complex y, Complex z)	Compute Carlson elliptic integral RG.
static Complex	CarlsonEllipticIntegral.rJ(Complex x, Complex y, Complex z, Complex p)	Compute Carlson elliptic integral RJ.
static Complex	CarlsonEllipticIntegral.rJ(Complex x, Complex y, Complex z, Complex p, Complex delta)	Compute Carlson elliptic integral RJ.

Uses of Complex in org.hipparchus.special.elliptic.jacobi

Methods in org.hipparchus.special.elliptic.jacobi that return Complex

Modifier and Type	Method	Description
Complex	Theta.theta1()	Get the value of the θ₁(z|τ) function.
Complex	Theta.theta2()	Get the value of the θ₂(z|τ) function.
Complex	Theta.theta3()	Get the value of the θ₃(z|τ) function.
Complex	Theta.theta4()	Get the value of the θ₄(z|τ) function.

Methods in org.hipparchus.special.elliptic.jacobi that return types with arguments of type Complex

Modifier and Type	Method	Description
static FieldJacobiElliptic<Complex>	JacobiEllipticBuilder.build(Complex m)	Build an algorithm for computing Jacobi elliptic functions.

Methods in org.hipparchus.special.elliptic.jacobi with parameters of type Complex

Modifier and Type	Method	Description
static FieldJacobiElliptic<Complex>	JacobiEllipticBuilder.build(Complex m)	Build an algorithm for computing Jacobi elliptic functions.
Theta	JacobiTheta.values(Complex z)	Evaluate the Jacobi theta functions.

Uses of Complex in org.hipparchus.special.elliptic.legendre

Methods in org.hipparchus.special.elliptic.legendre that return Complex

Modifier and Type	Method	Description
static Complex	LegendreEllipticIntegral.bigD(Complex m)	Get the complete elliptic integral D(m) = [K(m) - E(m)]/m.
static Complex	LegendreEllipticIntegral.bigD(Complex phi, Complex m)	Get the incomplete elliptic integral D(φ, m) = [F(φ, m) - E(φ, m)]/m.
static Complex	LegendreEllipticIntegral.bigE(Complex m)	Get the complete elliptic integral of the second kind E(m).
static Complex	LegendreEllipticIntegral.bigE(Complex phi, Complex m)	Get the incomplete elliptic integral of the second kind E(φ, m).
static Complex	LegendreEllipticIntegral.bigE(Complex phi, Complex m, ComplexUnivariateIntegrator integrator, int maxEval)	Get the incomplete elliptic integral of the second kind E(φ, m) using numerical integration.
static Complex	LegendreEllipticIntegral.bigF(Complex phi, Complex m)	Get the incomplete elliptic integral of the first kind F(φ, m).
static Complex	LegendreEllipticIntegral.bigF(Complex phi, Complex m, ComplexUnivariateIntegrator integrator, int maxEval)	Get the incomplete elliptic integral of the first kind F(φ, m) using numerical integration.
static Complex	LegendreEllipticIntegral.bigK(Complex m)	Get the complete elliptic integral of the first kind K(m).
static Complex	LegendreEllipticIntegral.bigKPrime(Complex m)	Get the complete elliptic integral of the first kind K'(m).
static Complex	LegendreEllipticIntegral.bigPi(Complex n, Complex m)	Get the complete elliptic integral of the third kind Π(n, m).
static Complex	LegendreEllipticIntegral.bigPi(Complex n, Complex phi, Complex m)	Get the incomplete elliptic integral of the third kind Π(n, φ, m).
static Complex	LegendreEllipticIntegral.bigPi(Complex n, Complex phi, Complex m, ComplexUnivariateIntegrator integrator, int maxEval)	Get the incomplete elliptic integral of the third kind Π(n, φ, m) using numerical integration.

Methods in org.hipparchus.special.elliptic.legendre with parameters of type Complex

Modifier and Type	Method	Description
static Complex	LegendreEllipticIntegral.bigD(Complex m)	Get the complete elliptic integral D(m) = [K(m) - E(m)]/m.
static Complex	LegendreEllipticIntegral.bigD(Complex phi, Complex m)	Get the incomplete elliptic integral D(φ, m) = [F(φ, m) - E(φ, m)]/m.
static Complex	LegendreEllipticIntegral.bigE(Complex m)	Get the complete elliptic integral of the second kind E(m).
static Complex	LegendreEllipticIntegral.bigE(Complex phi, Complex m)	Get the incomplete elliptic integral of the second kind E(φ, m).
static Complex	LegendreEllipticIntegral.bigE(Complex phi, Complex m, ComplexUnivariateIntegrator integrator, int maxEval)	Get the incomplete elliptic integral of the second kind E(φ, m) using numerical integration.
static Complex	LegendreEllipticIntegral.bigF(Complex phi, Complex m)	Get the incomplete elliptic integral of the first kind F(φ, m).
static Complex	LegendreEllipticIntegral.bigF(Complex phi, Complex m, ComplexUnivariateIntegrator integrator, int maxEval)	Get the incomplete elliptic integral of the first kind F(φ, m) using numerical integration.
static Complex	LegendreEllipticIntegral.bigK(Complex m)	Get the complete elliptic integral of the first kind K(m).
static Complex	LegendreEllipticIntegral.bigKPrime(Complex m)	Get the complete elliptic integral of the first kind K'(m).
static Complex	LegendreEllipticIntegral.bigPi(Complex n, Complex m)	Get the complete elliptic integral of the third kind Π(n, m).
static Complex	LegendreEllipticIntegral.bigPi(Complex n, Complex phi, Complex m)	Get the incomplete elliptic integral of the third kind Π(n, φ, m).
static Complex	LegendreEllipticIntegral.bigPi(Complex n, Complex phi, Complex m, ComplexUnivariateIntegrator integrator, int maxEval)	Get the incomplete elliptic integral of the third kind Π(n, φ, m) using numerical integration.

Uses of Complex in org.hipparchus.transform

Methods in org.hipparchus.transform that return Complex

Modifier and Type	Method	Description
static Complex[]	TransformUtils.createComplexArray(double[][] dataRI)	Builds a new array of Complex from the specified two dimensional array of real and imaginary parts.
static Complex[]	TransformUtils.scaleArray(Complex[] f, double d)	Multiply every component in the given complex array by the given real number.
Complex[]	FastFourierTransformer.transform(double[] f, TransformType type)	Returns the (forward, inverse) transform of the specified real data set.
Complex[]	FastFourierTransformer.transform(UnivariateFunction f, double min, double max, int n, TransformType type)	Returns the (forward, inverse) transform of the specified real function, sampled on the specified interval.
Complex[]	FastFourierTransformer.transform(Complex[] f, TransformType type)	Returns the (forward, inverse) transform of the specified complex data set.

Methods in org.hipparchus.transform with parameters of type Complex

Modifier and Type	Method	Description
static double[][]	TransformUtils.createRealImaginaryArray(Complex[] dataC)	Builds a new two dimensional array of double filled with the real and imaginary parts of the specified Complex numbers.
static Complex[]	TransformUtils.scaleArray(Complex[] f, double d)	Multiply every component in the given complex array by the given real number.
Complex[]	FastFourierTransformer.transform(Complex[] f, TransformType type)	Returns the (forward, inverse) transform of the specified complex data set.