Uses of Class org.hipparchus.complex.Complex (Hipparchus 2.1 API)

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

Methods in org.hipparchus.complex that return Complex
Modifier and Type	Method and 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(Complex addend)` Returns a `Complex` whose value is `(this + addend)`.
`Complex`	Complex.`add(double addend)` Returns a `Complex` whose value is `(this + addend)`, with `addend` interpreted as a real number.
`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(Complex z)` Returns the instance with the sign of the argument.
`Complex`	Complex.`copySign(double r)` 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(Complex divisor)` Returns a `Complex` whose value is `(this / divisor)`.
`Complex`	Complex.`divide(double divisor)` Returns a `Complex` whose value is `(this / divisor)`, with `divisor` interpreted as a real number.
`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... path)` Integrate a function along a polyline path between any number of points.
`Complex`	ComplexUnivariateIntegrator.`integrate(int maxEval, CalculusFieldUnivariateFunction<Complex> f, Complex start, Complex end)` Integrate a function along a straight path between points.
`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.`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.`log()` Compute the natural logarithm of this complex number.
`Complex`	Complex.`log10()` Base 10 logarithm.
`Complex`	Complex.`log1p()` Shifted natural logarithm.
`Complex`	Complex.`multiply(Complex factor)` Returns a `Complex` whose value is `this * factor`.
`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.`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(Complex x)` Returns of value of this complex number raised to the power of `x`.
`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.`reciprocal()` Returns the multiplicative inverse of `this` element.
`Complex`	Complex.`remainder(Complex a)` IEEE remainder operator.
`Complex`	Complex.`remainder(double 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)` N^th 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.`subtract(Complex subtrahend)` Returns a `Complex` whose value is `(this - subtrahend)`.
`Complex`	Complex.`subtract(double 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 and 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 sosine operation.

Methods in org.hipparchus.complex with parameters of type Complex
Modifier and Type	Method and 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.
`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... path)` Integrate a function along a polyline path between any number of 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`	ComplexUnivariateIntegrator.`integrate(int maxEval, CalculusFieldUnivariateFunction<Complex> f, Complex start, Complex end)` Integrate a function along a straight path between points.
`Complex`	Complex.`linearCombination(Complex[] a, Complex[] b)` 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.`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.`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 and Description
`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`	ComplexUnivariateIntegrator.`integrate(int maxEval, CalculusFieldUnivariateFunction<Complex> f, Complex start, Complex end)` Integrate a function along a straight path between points.

Uses of Complex in org.hipparchus.linear

Methods in org.hipparchus.linear that return Complex
Modifier and Type	Method and Description
`Complex[]`	ComplexEigenDecomposition.`getEigenvalues()` Getter of the eigen values.

Methods in org.hipparchus.linear that return types with arguments of type Complex
Modifier and Type	Method and Description
`FieldMatrix<Complex>`	ComplexEigenDecomposition.`getD()` Getter D.
`FieldVector<Complex>`	ComplexEigenDecomposition.`getEigenvector(int i)` Getter of the eigen vectors.
`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 and Description
`protected void`	ComplexEigenDecomposition.`findEigenVectors(FieldMatrix<Complex> matrix)` Compute the eigen vectors using the inverse power method.

Uses of Complex in org.hipparchus.ode

Methods in org.hipparchus.ode that return Complex
Modifier and Type	Method and 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 and 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.
`Complex[]`	ComplexSecondaryODE.`computeDerivatives(double t, Complex[] primary, Complex[] primaryDot, Complex[] secondary)` Compute the derivatives related to the secondary state parameters.
`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`	ComplexSecondaryODE.`init(double t0, Complex[] primary0, Complex[] secondary0, 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.
`default void`	ComplexOrdinaryDifferentialEquation.`init(double t0, Complex[] y0, double finalTime)` Initialize equations at the start of an ODE integration.

Constructors in org.hipparchus.ode with parameters of type Complex
Constructor and Description
`ComplexODEState(double time, Complex[] primaryState)` Simple constructor.
`ComplexODEState(double time, Complex[] primaryState, Complex[][] secondaryState)` 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)` Simple constructor.
`ComplexODEStateAndDerivative(double time, Complex[] primaryState, Complex[] primaryDerivative, Complex[][] secondaryState, Complex[][] secondaryDerivative)` Simple constructor.
`ComplexODEStateAndDerivative(double time, Complex[] primaryState, Complex[] primaryDerivative, Complex[][] secondaryState, Complex[][] secondaryDerivative)` Simple constructor.
`ComplexODEStateAndDerivative(double time, Complex[] primaryState, Complex[] primaryDerivative, Complex[][] secondaryState, Complex[][] secondaryDerivative)` 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 and Description
`double`	DomainColoring.`hue(Complex z)` Continuous hue.
`double`	DomainColoring.`saturation(Complex z)` Get saturation for a complex value.
`double`	SawToothPhaseModuleValue.`value(Complex z)` Get value for a complex value.
`double`	ContinuousModuleValue.`value(Complex z)` Get value for a complex value.
`double`	SawToothModuleValue.`value(Complex z)` Get value for a complex value.
`protected abstract double`	DomainColoring.`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 and Description
`static Complex`	CarlsonEllipticIntegral.`rC(Complex x, Complex y)` Compute Carlson elliptic integral R_C.
`static Complex`	CarlsonEllipticIntegral.`rD(Complex x, Complex y, Complex z)` Compute Carlson elliptic integral R_D.
`static Complex`	CarlsonEllipticIntegral.`rF(Complex x, Complex y, Complex z)` Compute Carlson elliptic integral R_F.
`static Complex`	CarlsonEllipticIntegral.`rG(Complex x, Complex y, Complex z)` Compute Carlson elliptic integral R_G.
`static Complex`	CarlsonEllipticIntegral.`rJ(Complex x, Complex y, Complex z, Complex p)` Compute Carlson elliptic integral R_J.
`static Complex`	CarlsonEllipticIntegral.`rJ(Complex x, Complex y, Complex z, Complex p, Complex delta)` Compute Carlson elliptic integral R_J.

Methods in org.hipparchus.special.elliptic.carlson with parameters of type Complex
Modifier and Type	Method and Description
`static Complex`	CarlsonEllipticIntegral.`rC(Complex x, Complex y)` Compute Carlson elliptic integral R_C.
`static Complex`	CarlsonEllipticIntegral.`rD(Complex x, Complex y, Complex z)` Compute Carlson elliptic integral R_D.
`static Complex`	CarlsonEllipticIntegral.`rF(Complex x, Complex y, Complex z)` Compute Carlson elliptic integral R_F.
`static Complex`	CarlsonEllipticIntegral.`rG(Complex x, Complex y, Complex z)` Compute Carlson elliptic integral R_G.
`static Complex`	CarlsonEllipticIntegral.`rJ(Complex x, Complex y, Complex z, Complex p)` Compute Carlson elliptic integral R_J.
`static Complex`	CarlsonEllipticIntegral.`rJ(Complex x, Complex y, Complex z, Complex p, Complex delta)` Compute Carlson elliptic integral R_J.

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

Methods in org.hipparchus.special.elliptic.jacobi that return Complex
Modifier and Type	Method and 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 and 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 and 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 and 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 and 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 and 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(Complex[] f, TransformType type)` Returns the (forward, inverse) transform of the specified complex data set.
`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.

Methods in org.hipparchus.transform with parameters of type Complex
Modifier and Type	Method and 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.

Uses of Classorg.hipparchus.complex.Complex

Uses of Complex in org.hipparchus.analysis.solvers

Uses of Complex in org.hipparchus.complex

Uses of Complex in org.hipparchus.linear

Uses of Complex in org.hipparchus.ode

Uses of Complex in org.hipparchus.samples.complex

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

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

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

Uses of Complex in org.hipparchus.transform

Uses of Class
org.hipparchus.complex.Complex