Uses of Class
org.hipparchus.complex.Complex
Packages that use Complex
Package
Description
Root finding algorithms, for univariate real functions.
Complex number type and implementations of complex transcendental
functions.
Linear algebra support.
Implementations of Carlson elliptic integrals.
Implementations of Jacobi elliptic functions.
Implementations of Legendre elliptic integrals.
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Uses of Complex in org.hipparchus.analysis.solvers
Methods in org.hipparchus.analysis.solvers that return ComplexModifier and TypeMethodDescriptionComplex[]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.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 ComplexModifier and TypeFieldDescriptionstatic final ComplexComplex.IThe square root of -1.static final ComplexComplex.INFA complex number representing "+INF + INFi"static final ComplexComplex.MINUS_IThe square root of -1.static final ComplexComplex.MINUS_ONEA complex number representing "-1.0 + 0.0i".static final ComplexComplex.NaNA complex number representing "NaN + NaNi".static final ComplexComplex.ONEA complex number representing "1.0 + 0.0i".static final ComplexComplex.PIA complex number representing "π + 0.0i".static final ComplexComplex.ZEROA complex number representing "0.0 + 0.0i".Methods in org.hipparchus.complex that return ComplexModifier and TypeMethodDescriptionComplex.abs()Return the absolute value of this complex number.Complex.acos()Compute the inverse cosine of this complex number.Complex.acosh()Inverse hyperbolic cosine operation.Complex.add(double addend) Returns aComplexwhose value is(this + addend), withaddendinterpreted as a real number.Returns aComplexwhose value is(this + addend).Complex.asin()Compute the inverse sine of this complex number.Complex.asinh()Inverse hyperbolic sine operation.Complex.atan()Compute the inverse tangent of this complex number.Two arguments arc tangent operation.Complex.atanh()Inverse hyperbolic tangent operation.Complex.cbrt()Cubic root.Complex.ceil()Get the smallest whole number larger than instance.Complex.conjugate()Returns the conjugate of this complex number.static Complex[]ComplexUtils.convertToComplex(double[] real) Convert an array of primitive doubles to an array ofComplexobjects.Complex.copySign(double r) Returns the instance with the sign of the argument.Returns the instance with the sign of the argument.Complex.cos()Compute the cosine of this complex number.Complex.cosh()Compute the hyperbolic cosine of this complex number.protected ComplexComplex.createComplex(double realPart, double imaginaryPart) Create a complex number given the real and imaginary parts.Complex.divide(double divisor) Returns aComplexwhose value is(this / divisor), withdivisorinterpreted as a real number.Returns aComplexwhose value is(this / divisor).Complex.exp()Compute the exponential function of this complex number.Complex.expm1()Exponential minus 1.Complex.floor()Get the largest whole number smaller than instance.ComplexField.getOne()Get the multiplicative identity of the field.Complex.getPi()Get the Archimedes constant π.ComplexField.getZero()Get the additive identity of the field.Returns the hypotenuse of a triangle with sidesthisandy- sqrt(this2 +y2) avoiding intermediate overflow or underflow.ComplexUnivariateIntegrator.integrate(int maxEval, CalculusFieldUnivariateFunction<Complex> f, Complex start, Complex end) Integrate a function along a straight path between points.ComplexUnivariateIntegrator.integrate(int maxEval, CalculusFieldUnivariateFunction<Complex> f, Complex start, Complex... path) Integrate a function along a polyline path between any number of points.Complex.linearCombination(double[] a, Complex[] b) Compute a linear combination.Complex.linearCombination(double a1, Complex b1, double a2, Complex b2) Compute a linear combination.Complex.linearCombination(double a1, Complex b1, double a2, Complex b2, double a3, Complex b3) Compute a linear combination.Complex.linearCombination(double a1, Complex b1, double a2, Complex b2, double a3, Complex b3, double a4, Complex b4) Compute a linear combination.Complex.linearCombination(Complex[] a, Complex[] b) Compute a linear combination.Complex.linearCombination(Complex a1, Complex b1, Complex a2, Complex b2) Compute a linear combination.Compute a linear combination.Complex.linearCombination(Complex a1, Complex b1, Complex a2, Complex b2, Complex a3, Complex b3, Complex a4, Complex b4) Compute a linear combination.Complex.log()Compute the natural logarithm of this complex number.Complex.log10()Base 10 logarithm.Complex.log1p()Shifted natural logarithm.Complex.multiply(double factor) Returns aComplexwhose value isthis * factor, withfactorinterpreted as a real number.Complex.multiply(int factor) Returns aComplexwhose value isthis * factor, withfactorinterpreted as a integer number.Returns aComplexwhose value isthis * factor.Complex.multiplyMinusI()Compute this *- -i.Complex.multiplyPlusI()Compute this * i.Complex.negate()Returns aComplexwhose value is(-this).Complex.newInstance(double realPart) Create an instance corresponding to a constant real value.Parses a string to produce aComplexobject.ComplexFormat.parse(String source, ParsePosition pos) Parses a string to produce aComplexobject.static ComplexComplexUtils.polar2Complex(double r, double theta) Creates a complex number from the given polar representation.Complex.pow(double x) Returns of value of this complex number raised to the power ofx.Complex.pow(int n) Integer power operation.Returns of value of this complex number raised to the power ofx.Complex.reciprocal()Returns the multiplicative inverse ofthiselement.Complex.remainder(double a) IEEE remainder operator.IEEE remainder operator.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.rootN(int n) Nth root.Complex.scalb(int n) Multiply the instance by a power of 2.Complex.sign()Compute the sign of the instance.Complex.sin()Compute the sine of this complex number.Complex.sinh()Compute the hyperbolic sine of this complex number.Complex.sqrt()Compute the square root of this complex number.Complex.sqrt1z()Compute the square root of1 - this2for this complex number.Complex.square()Compute this × this.Complex.subtract(double subtrahend) Returns aComplexwhose value is(this - subtrahend).Returns aComplexwhose value is(this - subtrahend).Complex.tan()Compute the tangent of this complex number.Complex.tanh()Compute the hyperbolic tangent of this complex number.Complex.toDegrees()Convert radians to degrees, with error of less than 0.5 ULPComplex.toRadians()Convert degrees to radians, with error of less than 0.5 ULPComplex.ulp()Compute least significant bit (Unit in Last Position) for a number.static ComplexComplex.valueOf(double realPart) Create a complex number given only the real part.static ComplexComplex.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 ComplexModifier and TypeMethodDescriptionComplexField.getRuntimeClass()Returns the runtime class of the FieldElement.Complex.nthRoot(int n) Computes the n-th roots of this complex number.Complex.sinCos()Combined Sine and Cosine operation.Complex.sinhCosh()Combined hyperbolic sine and cosine operation.Methods in org.hipparchus.complex with parameters of type ComplexModifier and TypeMethodDescriptionReturns aComplexwhose value is(this + addend).Two arguments arc tangent operation.intCompare two complex numbers, using real ordering as the primary sort order and imaginary ordering as the secondary sort order.intReturns the instance with the sign of the argument.Returns aComplexwhose value is(this / divisor).static booleanReturnstrueiff the values are equal as defined byequals(x, y, 1).static booleanReturnstrueif, 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 booleanTest for the floating-point equality between Complex objects.static booleanComplex.equalsWithRelativeTolerance(Complex x, Complex y, double eps) Returnstrueif, 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.This method callsComplexFormat.format(Object,StringBuffer,FieldPosition).ComplexFormat.format(Complex complex, StringBuffer toAppendTo, FieldPosition pos) Formats aComplexobject to produce a string.Returns the hypotenuse of a triangle with sidesthisandy- sqrt(this2 +y2) avoiding intermediate overflow or underflow.ComplexUnivariateIntegrator.integrate(int maxEval, CalculusFieldUnivariateFunction<Complex> f, Complex start, Complex end) Integrate a function along a straight path between points.ComplexUnivariateIntegrator.integrate(int maxEval, CalculusFieldUnivariateFunction<Complex> f, Complex start, Complex... path) Integrate a function along a polyline path between any number of points.Complex.linearCombination(double[] a, Complex[] b) Compute a linear combination.Complex.linearCombination(double a1, Complex b1, double a2, Complex b2) Compute a linear combination.Complex.linearCombination(double a1, Complex b1, double a2, Complex b2, double a3, Complex b3) Compute a linear combination.Complex.linearCombination(double a1, Complex b1, double a2, Complex b2, double a3, Complex b3, double a4, Complex b4) Compute a linear combination.Complex.linearCombination(Complex[] a, Complex[] b) Compute a linear combination.Complex.linearCombination(Complex a1, Complex b1, Complex a2, Complex b2) Compute a linear combination.Compute a linear combination.Complex.linearCombination(Complex a1, Complex b1, Complex a2, Complex b2, Complex a3, Complex b3, Complex a4, Complex b4) Compute a linear combination.Returns aComplexwhose value isthis * factor.Returns of value of this complex number raised to the power ofx.IEEE remainder operator.Returns aComplexwhose value is(this - subtrahend).Method parameters in org.hipparchus.complex with type arguments of type ComplexModifier and TypeMethodDescriptionComplexUnivariateIntegrator.integrate(int maxEval, CalculusFieldUnivariateFunction<Complex> f, Complex start, Complex end) Integrate a function along a straight path between points.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 ComplexModifier and TypeMethodDescriptionEigenDecompositionNonSymmetric.getDeterminant()Computes the determinant of the matrix.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 ComplexModifier and TypeMethodDescriptionComplexEigenDecomposition.getD()Getter D.ComplexEigenDecomposition.getEigenvector(int i) Getter of the eigen vectors.EigenDecompositionNonSymmetric.getEigenvector(int i) Gets a copy of the ith eigenvector of the original matrix.ComplexEigenDecomposition.getV()Getter V.ComplexEigenDecomposition.getVT()Getter VT.OrderedComplexEigenDecomposition.getVT()Getter VT.Method parameters in org.hipparchus.linear with type arguments of type ComplexModifier and TypeMethodDescriptionprotected voidComplexEigenDecomposition.findEigenVectors(FieldMatrix<Complex> matrix) Compute the eigen vectors using the inverse power method.Constructor parameters in org.hipparchus.linear with type arguments of type ComplexModifierConstructorDescriptionOrderedComplexEigenDecomposition(RealMatrix matrix, double eigenVectorsEquality, double epsilon, double epsilonAVVDCheck, Comparator<Complex> eigenValuesComparator) Constructor for decomposition. -
Uses of Complex in org.hipparchus.special.elliptic.carlson
Methods in org.hipparchus.special.elliptic.carlson that return ComplexModifier and TypeMethodDescriptionstatic ComplexCompute Carlson elliptic integral RC.static ComplexCompute Carlson elliptic integral RD.static ComplexCompute Carlson elliptic integral RF.static ComplexCompute Carlson elliptic integral RG.static ComplexCompute Carlson elliptic integral RJ.static ComplexCompute Carlson elliptic integral RJ.Methods in org.hipparchus.special.elliptic.carlson with parameters of type ComplexModifier and TypeMethodDescriptionstatic ComplexCompute Carlson elliptic integral RC.static ComplexCompute Carlson elliptic integral RD.static ComplexCompute Carlson elliptic integral RF.static ComplexCompute Carlson elliptic integral RG.static ComplexCompute Carlson elliptic integral RJ.static ComplexCompute Carlson elliptic integral RJ. -
Uses of Complex in org.hipparchus.special.elliptic.jacobi
Methods in org.hipparchus.special.elliptic.jacobi that return ComplexModifier and TypeMethodDescriptionTheta.theta1()Get the value of the θ₁(z|τ) function.Theta.theta2()Get the value of the θ₂(z|τ) function.Theta.theta3()Get the value of the θ₃(z|τ) function.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 ComplexModifier and TypeMethodDescriptionstatic FieldJacobiElliptic<Complex>Build an algorithm for computing Jacobi elliptic functions.Methods in org.hipparchus.special.elliptic.jacobi with parameters of type Complex -
Uses of Complex in org.hipparchus.special.elliptic.legendre
Methods in org.hipparchus.special.elliptic.legendre that return ComplexModifier and TypeMethodDescriptionstatic ComplexGet the complete elliptic integral D(m) = [K(m) - E(m)]/m.static ComplexGet the incomplete elliptic integral D(φ, m) = [F(φ, m) - E(φ, m)]/m.static ComplexGet the complete elliptic integral of the second kind E(m).static ComplexGet the incomplete elliptic integral of the second kind E(φ, m).static ComplexLegendreEllipticIntegral.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 ComplexGet the incomplete elliptic integral of the first kind F(φ, m).static ComplexLegendreEllipticIntegral.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 ComplexGet the complete elliptic integral of the first kind K(m).static ComplexGet the complete elliptic integral of the first kind K'(m).static ComplexGet the complete elliptic integral of the third kind Π(n, m).static ComplexGet the incomplete elliptic integral of the third kind Π(n, φ, m).static ComplexLegendreEllipticIntegral.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 ComplexModifier and TypeMethodDescriptionstatic ComplexGet the complete elliptic integral D(m) = [K(m) - E(m)]/m.static ComplexGet the incomplete elliptic integral D(φ, m) = [F(φ, m) - E(φ, m)]/m.static ComplexGet the complete elliptic integral of the second kind E(m).static ComplexGet the incomplete elliptic integral of the second kind E(φ, m).static ComplexLegendreEllipticIntegral.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 ComplexGet the incomplete elliptic integral of the first kind F(φ, m).static ComplexLegendreEllipticIntegral.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 ComplexGet the complete elliptic integral of the first kind K(m).static ComplexGet the complete elliptic integral of the first kind K'(m).static ComplexGet the complete elliptic integral of the third kind Π(n, m).static ComplexGet the incomplete elliptic integral of the third kind Π(n, φ, m).static ComplexLegendreEllipticIntegral.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.