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.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.NaN A complex number representing "NaN + NaNi"
static Complex	Complex.ONE A complex number representing "1.0 + 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.acos() Compute the inverse cosine of this complex number.
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.atan() Compute the inverse tangent of this complex number.
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.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	ComplexField.getOne() Get the multiplicative identity of the field.
Complex	ComplexField.getZero() Get the additive identity of the field.
Complex	Complex.log() Compute the natural logarithm of this complex number.
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.negate() Returns a Complex whose value is (-this).
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.reciprocal() Returns the multiplicative inverse of this element.
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.
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<? extends FieldElement<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.

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).
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.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.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.subtract(Complex subtrahend) Returns a Complex whose value is (this - subtrahend).

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>	OrderedComplexEigenDecomposition.getVT() Getter VT.
FieldMatrix<Complex>	ComplexEigenDecomposition.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.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.