Uses of Class
org.apfloat.Apcomplex
Packages that use Apcomplex
Package
Description
The apfloat Application Programming Interface (API).
Arbitrary precision calculator interactive application.
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Uses of Apcomplex in org.apfloat
Classes in org.apfloat with type parameters of type ApcomplexModifier and TypeInterfaceDescriptionstatic interfaceParallelHelper.ProductKernel<T extends Apcomplex>Subclasses of Apcomplex in org.apfloatModifier and TypeClassDescriptionclassArbitrary precision floating-point number class.classArbitrary precision integer class.classArbitrary precision rational number class.Fields in org.apfloat declared as ApcomplexModifier and TypeFieldDescriptionprivate Apcomplex[]HypergeometricHelper.aHypergeometricHelper.Hypergeometric2F1Helper.aprivate ApcomplexIncompleteGammaHelper.GammaValue.aprivate Apcomplex[]HypergeometricHelper.bHypergeometricHelper.Hypergeometric2F1Helper.bHypergeometricHelper.Hypergeometric2F1Helper.cprivate ApcomplexIncompleteGammaHelper.ContinuedFractionResult.deltaprivate ApcomplexZetaHelper.gammaSprivate ApcomplexZetaHelper.istatic final ApcomplexApcomplex.IImaginary unit.private ApcomplexZetaHelper.iTwoPiNprivate ApcomplexZetaHelper.oneSprivate ApcomplexLambertWHelper.pprivate ApcomplexIncompleteGammaHelper.ContinuedFractionResult.resultprivate ApcomplexIncompleteGammaHelper.GammaValue.resultprivate ApcomplexZetaHelper.s1private ApcomplexBesselHelper.zHypergeometricHelper.Hypergeometric2F1Helper.zprivate ApcomplexHypergeometricHelper.zprivate ApcomplexLambertWHelper.zprivate ApcomplexBesselHelper.νFields in org.apfloat with type parameters of type ApcomplexModifier and TypeFieldDescriptionprivate LongFunction<Apcomplex> IncompleteGammaHelper.Sequence.aprivate LongFunction<Apcomplex> IncompleteGammaHelper.Sequence.bstatic final Comparator<Apcomplex> Apcomplex.REAL_ABS_IMAG_ORDERComparator for ordering by real part, and in case of a tie, by the absolute value of the imaginary part.static final Comparator<Apcomplex> Apcomplex.REAL_IMAG_ORDERComparator for ordering by real part, and in case of a tie, by imaginary part.IncompleteGammaHelper.ContinuedFraction.sequenceIncompleteGammaHelper.ContinuedFraction.sequenceMethods in org.apfloat with type parameters of type ApcomplexModifier and TypeMethodDescriptionstatic <T extends Apcomplex>
voidParallelHelper.parallelProduct(T[] x, Queue<T> heap, ParallelHelper.ProductKernel<T> kernel) Multiply two smallest elements in the heap and put the product back to the heap, until only one element remains.Methods in org.apfloat that return ApcomplexModifier and TypeMethodDescriptionIncompleteGammaHelper.Sequence.a(long n) static ApcomplexInverse cosine.(package private) static ApcomplexArc cosine.static ApcomplexInverse hyperbolic cosine.(package private) static ApcomplexHyperbolic arc cosine.Adds two apcomplex numbers.Addition.static ApcomplexArithmetic-geometric mean.(package private) static ApcomplexArithmetic-geometric mean.private static ApcomplexApcomplexMath.agmConsume(Consumer<Apcomplex> consumer, Apcomplex a, Apcomplex c2, long workingPrecision) private static Apcomplexstatic ApcomplexAiry function Ai.(package private) static ApcomplexAiry function Ai.static ApcomplexApcomplexMath.airyAiPrime(Apcomplex z) Derivative of the Airy function Ai.(package private) static ApcomplexApcomplexMath.airyAiPrime(Apcomplex z0, long targetPrecision) FixedPrecisionApcomplexHelper.airyAiPrime(Apcomplex z) Derivative of the Airy function Ai.static ApcomplexAiry function Bi.(package private) static ApcomplexAiry function Bi.static ApcomplexApcomplexMath.airyBiPrime(Apcomplex z) Derivative of the Airy function Bi.(package private) static ApcomplexApcomplexMath.airyBiPrime(Apcomplex z0, long targetPrecision) FixedPrecisionApcomplexHelper.airyBiPrime(Apcomplex z) Derivative of the Airy function Bi.static Apcomplex[]All values of the positive integer root.All branches of a root.static ApcomplexZetaHelper.alternatingSum(Apcomplex s) private ApcomplexHypergeometricHelper.alternative(Apcomplex a, Apcomplex b, Apcomplex c, Apcomplex z) static ApcomplexInverse sine.Arc sine.static ApcomplexInverse hyperbolic sine.Hyperbolic arc sine.static ApcomplexInverse tangent.Arc tangent.static ApcomplexInverse hyperbolic tangent.Hyperbolic arc tangent.IncompleteGammaHelper.Sequence.b(long n) static ApcomplexApcomplexMath.bernoulliB(long n, Apcomplex z) Bernoulli polynomial.(package private) static ApcomplexApcomplexMath.bernoulliB(long n, Apcomplex z, long precision) FixedPrecisionApcomplexHelper.bernoulliB(long n, Apcomplex z) Bernoulli polynomial.private static ApcomplexHurwitzZetaHelper.bernoulliB(long n, Apcomplex z) private ApcomplexBesselHelper.besselFirstKind(Apcomplex ν, boolean negate) static ApcomplexModified Bessel function of the first kind.private ApcomplexBesselHelper.besselI()private Apcomplexstatic ApcomplexModified Bessel function of the first kind.static ApcomplexBessel function of the first kind.private ApcomplexBesselHelper.besselJ()private Apcomplexstatic ApcomplexBessel function of the first kind.static ApcomplexModified Bessel function of the second kind.private ApcomplexBesselHelper.besselK()static ApcomplexModified Bessel function of the second kind.private ApcomplexBesselHelper.besselSecondKind(BiFunction<Apcomplex, Apcomplex, Apcomplex> f) static ApcomplexBessel function of the second kind.private ApcomplexBesselHelper.besselY()static ApcomplexBessel function of the second kind.static ApcomplexBeta function.static ApcomplexIncomplete beta function.static ApcomplexGeneralized incomplete beta function.Beta function.Incomplete beta function.Generalized incomplete beta function.static ApcomplexBinomial coefficient.Binomial coefficient.static ApcomplexCube root.Cube root.static ApcomplexApcomplexMath.chebyshevT(Apcomplex ν, Apcomplex z) Chebyshev function of the first kind.FixedPrecisionApcomplexHelper.chebyshevT(Apcomplex ν, Apcomplex z) Chebyshev function of the first kind.static ApcomplexApcomplexMath.chebyshevU(Apcomplex ν, Apcomplex z) Chebyshev function of the second kind.FixedPrecisionApcomplexHelper.chebyshevU(Apcomplex ν, Apcomplex z) Chebyshev function of the second kind.static Apcomplexprivate static ApcomplexApfloatHelper.checkPowBasic(Apcomplex z, Apcomplex w, long targetPrecision) private ApcomplexHypergeometricHelper.checkResult()private ApcomplexFixedPrecisionApcomplexHelper.checkSmallLinear(Apcomplex z) private static ApcomplexLambertWHelper.complex()private ApcomplexLambertWHelper.complexSeries(Apcomplex p) Apcomplex.conj()Returns the complex conjugate of this apcomplex.Complex conjugate.static ApcomplexCosine.Cosine.static ApcomplexHyperbolic cosine.Hyperbolic cosine.static ApcomplexApcomplexMath.coshIntegral(Apcomplex z) Hyperbolic cosine integral.FixedPrecisionApcomplexHelper.coshIntegral(Apcomplex z) Hyperbolic cosine integral.static ApcomplexApcomplexMath.cosIntegral(Apcomplex z) Cosine integral.FixedPrecisionApcomplexHelper.cosIntegral(Apcomplex z) Cosine integral.(package private) static Apcomplexprivate Apcomplexstatic ApcomplexDigamma function.Digamma function.Divides two apcomplex numbers.Division.private static Apcomplexprivate Apcomplexprivate Apcomplexstatic ApcomplexComplete elliptic integral of the second kind.(package private) static ApcomplexComplete elliptic integral of the second kind.static ApcomplexComplete elliptic integral of the first kind.(package private) static Apcomplex(package private) static ApcomplexComplete elliptic integral of the first kind.static ApcomplexApfloatHelper.ensureGammaPrecision(Apcomplex z, long precision) private ApcomplexHypergeometricHelper.ensureGammaPrecision(Apcomplex z) static ApcomplexApfloatHelper.ensurePrecision(Apcomplex z, long precision) private ApcomplexBesselHelper.ensurePrecision(Apcomplex z) private ApcomplexHypergeometricHelper.ensurePrecision(Apcomplex z) static ApcomplexError function.Error function.static ApcomplexComplementary error function.Complementary error function.(package private) static ApcomplexApcomplexMath.erfcFixedPrecision(Apcomplex z) (package private) static ApcomplexApcomplexMath.erfFixedPrecision(Apcomplex z) static ApcomplexImaginary error function.Imaginary error function.(package private) static ApcomplexApcomplexMath.erfiFixedPrecision(Apcomplex z) static ApcomplexEuler polynomial.(package private) static ApcomplexEuler polynomial.private Apcomplexprivate ApcomplexHypergeometricHelper.Hypergeometric2F1Helper.evaluate(Apcomplex a, Apcomplex b, Apcomplex c, Apcomplex z) static ApcomplexExponent function.Exponential function.static ApcomplexApcomplexMath.expIntegralE(Apcomplex ν, Apcomplex z) Exponential integral E.FixedPrecisionApcomplexHelper.expIntegralE(Apcomplex ν, Apcomplex z) Exponential integral E.static ApcomplexApcomplexMath.expIntegralEi(Apcomplex z) Exponential integral Ei.FixedPrecisionApcomplexHelper.expIntegralEi(Apcomplex z) Exponential integral Ei.private static Apcomplexstatic ApcomplexApfloatHelper.extendPrecision(Apcomplex z) static ApcomplexApfloatHelper.extendPrecision(Apcomplex z, long extraPrecision) static ApcomplexFibonacci function.Fibonacci function.private ApcomplexLambertWHelper.fixLogBranch(Apcomplex next, Apcomplex previous) static ApcomplexFresnel integral C.Fresnel integral C.static ApcomplexFresnel integral S.Fresnel integral S.private static ApcomplexApcomplexMath.fresnelTerm(Apint one, Apfloat half, Apfloat invSqrtPi, Apcomplex iz2, Apcomplex iHalfPiZ2) private static ApcomplexIncompleteGammaHelper.g(BiFunction<Apcomplex, Apcomplex, IncompleteGammaHelper.Sequence> s, Apcomplex a, Apcomplex z, long minIterations) static ApcomplexGamma function.static ApcomplexIncomplete gamma function.static ApcomplexGeneralized incomplete gamma function.Gamma function.Incomplete gamma function.Generalized incomplete gamma function.static Apcomplexstatic Apcomplexprivate static ApcomplexApcomplexMath.gegenbauerC(long n, Apcomplex λ, Apcomplex z) static ApcomplexApcomplexMath.gegenbauerC(Apcomplex ν, Apcomplex z) Renormalized Gegenbauer function.static ApcomplexApcomplexMath.gegenbauerC(Apcomplex ν, Apcomplex λ, Apcomplex z) Gegenbauer function.FixedPrecisionApcomplexHelper.gegenbauerC(Apcomplex ν, Apcomplex z) Renormalized Gegenbauer function.FixedPrecisionApcomplexHelper.gegenbauerC(Apcomplex ν, Apcomplex λ, Apcomplex z) Gegenbauer function.IncompleteGammaHelper.ContinuedFractionResult.getDelta()IncompleteGammaHelper.ContinuedFractionResult.getResult()IncompleteGammaHelper.GammaValue.getValue()static ApcomplexApcomplexMath.harmonicNumber(Apcomplex z) Harmonic number.static ApcomplexApcomplexMath.harmonicNumber(Apcomplex z, Apcomplex r) Generalized harmonic number.FixedPrecisionApcomplexHelper.harmonicNumber(Apcomplex z) Harmonic number.FixedPrecisionApcomplexHelper.harmonicNumber(Apcomplex z, Apcomplex r) Generalized harmonic number.static ApcomplexHermite function.Hermite function.static ApcomplexApcomplexMath.hypergeometric0F1(Apcomplex a, Apcomplex z) Confluent hypergeometric function 0F1.FixedPrecisionApcomplexHelper.hypergeometric0F1(Apcomplex a, Apcomplex z) Confluent hypergeometric function 0F1.private ApcomplexHypergeometricHelper.hypergeometric0F1(Apcomplex b, Apcomplex z) static ApcomplexApcomplexMath.hypergeometric0F1Regularized(Apcomplex a, Apcomplex z) Regularized confluent hypergeometric function 0F̃1.FixedPrecisionApcomplexHelper.hypergeometric0F1Regularized(Apcomplex a, Apcomplex z) Regularized confluent hypergeometric function 0F̃1.static ApcomplexApcomplexMath.hypergeometric1F1(Apcomplex a, Apcomplex b, Apcomplex z) Kummer confluent hypergeometric function 1F1.FixedPrecisionApcomplexHelper.hypergeometric1F1(Apcomplex a, Apcomplex b, Apcomplex z) Kummer confluent hypergeometric function 1F1.private ApcomplexHypergeometricHelper.hypergeometric1F1(Apcomplex a, Apcomplex b, Apcomplex z) static ApcomplexApcomplexMath.hypergeometric1F1Regularized(Apcomplex a, Apcomplex b, Apcomplex z) Regularized Kummer confluent hypergeometric function 1F̃1.FixedPrecisionApcomplexHelper.hypergeometric1F1Regularized(Apcomplex a, Apcomplex b, Apcomplex z) Regularized Kummer confluent hypergeometric function 1F̃1.private ApcomplexHypergeometricHelper.hypergeometric1F1series(Apcomplex a, Apcomplex b, Apcomplex z) static ApcomplexApcomplexMath.hypergeometric2F1(Apcomplex a, Apcomplex b, Apcomplex c, Apcomplex z) Hypergeometric function 2F1.FixedPrecisionApcomplexHelper.hypergeometric2F1(Apcomplex a, Apcomplex b, Apcomplex c, Apcomplex z) Hypergeometric function 2F1.private ApcomplexHypergeometricHelper.hypergeometric2F1(Apcomplex a, Apcomplex b, Apcomplex c, Apcomplex z) static ApcomplexApcomplexMath.hypergeometric2F1Regularized(Apcomplex a, Apcomplex b, Apcomplex c, Apcomplex z) Regularized hypergeometric function 2F̃1.FixedPrecisionApcomplexHelper.hypergeometric2F1Regularized(Apcomplex a, Apcomplex b, Apcomplex c, Apcomplex z) Regularized hypergeometric function 2F̃1.private ApcomplexHypergeometricHelper.hypergeometricPFQ()static ApcomplexHypergeometricHelper.hypergeometricPFQ(Apcomplex[] a, Apcomplex[] b, Apcomplex z) Generalized hypergeometric function pFq.private ApcomplexHypergeometricHelper.hypergeometricPFQRegularized()static ApcomplexHypergeometricHelper.hypergeometricPFQRegularized(Apcomplex[] a, Apcomplex[] b, Apcomplex z) Regularized generalized hypergeometric function pF̃q.static ApcomplexApcomplexMath.hypergeometricU(Apcomplex a, Apcomplex b, Apcomplex z) Tricomi's confluent hypergeometric function U.FixedPrecisionApcomplexHelper.hypergeometricU(Apcomplex a, Apcomplex b, Apcomplex z) Tricomi's confluent hypergeometric function U.private ApcomplexHypergeometricHelper.hypergeometricU(boolean fastOnly) static ApcomplexHypergeometricHelper.hypergeometricU(Apcomplex a, Apcomplex b, Apcomplex z, boolean fastOnly) Tricomi's confluent hypergeometric function U.private ApcomplexHypergeometricHelper.hypergeometricUStar(Apcomplex a, Apcomplex b, Apcomplex z) private static Apcomplexstatic ApcomplexApcomplexMath.inverseRoot(Apcomplex z, long n) Inverse positive integer root.static ApcomplexApcomplexMath.inverseRoot(Apcomplex z, long n, long k) Inverse positive integer root.FixedPrecisionApcomplexHelper.inverseRoot(Apcomplex z, long n) Inverse root.FixedPrecisionApcomplexHelper.inverseRoot(Apcomplex z, long n, long k) Inverse root with branch.private static ApcomplexApcomplexMath.inverseRootAbs(Apcomplex z, long n, long k) private static Apcomplexstatic ApcomplexJacobi function.Jacobi function.static ApcomplexLaguerre function.static ApcomplexGeneralized Laguerre function.Laguerre function.Generalized Laguerre function.private static ApcomplexApcomplexMath.lastIterationExtendPrecision(int iterations, int precisingIteration, Apcomplex z) static ApcomplexLegendre function.static ApcomplexAssociated Legendre function of the first kind.Legendre function.Associated Legendre function of the first kind.static ApcomplexLegendre function of the second kind.static ApcomplexAssociated Legendre function of the second kind.Legendre function of the second kind.Associated Legendre function of the second kind.private static ApcomplexApcomplexMath.limitPrecision(Apcomplex z) static ApcomplexApfloatHelper.limitPrecision(Apcomplex z, long precision) static ApcomplexNatural logarithm.static ApcomplexLogarithm in arbitrary base.Natural logarithm.Logarithm in specified base.private Apcomplexprivate Apcomplexstatic ApcomplexLogarithm of the gamma function.Logarithm of the gamma function.static ApcomplexApcomplexMath.logIntegral(Apcomplex z) Logarithmic integral.FixedPrecisionApcomplexHelper.logIntegral(Apcomplex z) Logarithmic integral.static ApcomplexApcomplexMath.logisticSigmoid(Apcomplex z) Logistic sigmoid.FixedPrecisionApcomplexHelper.logisticSigmoid(Apcomplex z) Logistic sigmoid.private static ApcomplexApcomplexMath.logPochhammer(Apcomplex z, long n) private static ApcomplexMultiplies two apcomplex numbers.Multiplication.Apcomplex.negate()Negative value.static ApcomplexDeprecated.Negation.private ApcomplexLambertWHelper.negativeComplexSeries()private ApcomplexLambertWHelper.p()(package private) static ApcomplexApcomplexMath.pochhammer(Apcomplex z, long n) static ApcomplexApcomplexMath.pochhammer(Apcomplex z, Apcomplex n) Pochhammer symbol.FixedPrecisionApcomplexHelper.pochhammer(Apcomplex z, Apcomplex n) Pochhammer symbol.private static ApcomplexHurwitzZetaHelper.pochhammer(Apcomplex s, long n) static ApcomplexPolygamma function.Polygamma function.static ApcomplexPolylogarithm.Polylogarithm.private ApcomplexLambertWHelper.positiveComplexSeries()static ApcomplexInteger power.static ApcomplexArbitrary power.Integer power.Power.private static ApcomplexApcomplex.precision(long precision) Returns an apcomplex with the same value as this apcomplex accurate to the specified precision.static ApcomplexProduct of numbers.Product.private Apcomplexprivate static Apcomplexstatic ApcomplexApfloatHelper.reducePrecision(Apcomplex z) static ApcomplexApfloatHelper.reducePrecision(Apcomplex z, long extraPrecision) private Apcomplexprivate static Apcomplexstatic ApcomplexPositive integer root.static ApcomplexPositive integer root.Root.Root with branch.private static Apcomplexstatic ApcomplexMultiply by a power of the radix.Move the radix point.private ApcomplexFixedPrecisionApcomplexHelper.setErfPrecision(Apcomplex z) private ApcomplexFixedPrecisionApcomplexHelper.setExpTrigPrecision(Apcomplex z) private ApcomplexFixedPrecisionApcomplexHelper.setGammaPrecision(Apcomplex z) private ApcomplexFixedPrecisionApcomplexHelper.setLogarithmicPrecision(Apcomplex z) static ApcomplexApfloatHelper.setPrecision(Apcomplex z, long precision) private ApcomplexFixedPrecisionApcomplexHelper.setPrecision(Apcomplex z) private Apcomplex[]FixedPrecisionApcomplexHelper.setPrecision(Apcomplex[] z) private ApcomplexFixedPrecisionApcomplexHelper.setTrigExpPrecision(Apcomplex z) private ApcomplexFixedPrecisionApcomplexHelper.setZetaPrecision(Apcomplex z) static ApcomplexSine.Sine.static ApcomplexSinc.Sinc.static ApcomplexHyperbolic sine.Hyperbolic sine.static ApcomplexApcomplexMath.sinhIntegral(Apcomplex z) Hyperbolic sine integral.FixedPrecisionApcomplexHelper.sinhIntegral(Apcomplex z) Hyperbolic sine integral.static ApcomplexApcomplexMath.sinIntegral(Apcomplex z) Sine integral.FixedPrecisionApcomplexHelper.sinIntegral(Apcomplex z) Sine integral.static ApcomplexApcomplexMath.sphericalHarmonicY(Apcomplex λ, Apcomplex μ, Apcomplex ϑ, Apcomplex ϕ) Spherical harmonic function.private static ApcomplexApcomplexMath.sphericalHarmonicY(Apint n, Apint m, Apcomplex ϑ, Apcomplex ϕ) FixedPrecisionApcomplexHelper.sphericalHarmonicY(Apcomplex λ, Apcomplex μ, Apcomplex ϑ, Apcomplex ϕ) Spherical harmonic function.static ApcomplexSquare root.Square root.Subtracts two apcomplex numbers.Subtraction.IncompleteGammaHelper.GammaValue.subtract(IncompleteGammaHelper.GammaValue that) static ApcomplexSum of numbers.Sum.private static Apcomplexprivate static Apcomplexstatic ApcomplexTangent.(package private) static ApcomplexTangent.(package private) static ApcomplexApcomplexMath.tanFixedPrecision(Apcomplex z) static ApcomplexHyperbolic tangent.private static ApcomplexHyperbolic tangent.(package private) static ApcomplexApcomplexMath.tanhFixedPrecision(Apcomplex z) private static ApcomplexApcomplex.toRadix(int radix) Convert this apcomplex to the specified radix.HypergeometricHelper.Hypergeometric2F1Helper.transform(Apcomplex s, Apcomplex c, Apcomplex base1, Apcomplex exp1, Apcomplex g1, Apcomplex g2, Apcomplex a1, Apcomplex b1, Apcomplex c1, Apcomplex base2, Apcomplex exp2, Apcomplex base3, Apcomplex exp3, Apcomplex g3, Apcomplex g4, Apcomplex a2, Apcomplex b2, Apcomplex c2, Apcomplex z) private static ApcomplexIncompleteGammaHelper.upperGamma(long mn, Apcomplex z) abstract ApcomplexHypergeometricHelper.Transformation.value(HypergeometricHelper.Hypergeometric2F1Helper helper) Returns the value with the specified precision.static ApcomplexLambert W function.static ApcomplexLambert W function for the specified branch.Lambert W function.Lambert W function for the specified branch.static Apcomplexstatic Apcomplexabstract Apcomplexstatic ApcomplexRiemann zeta function.static ApcomplexHurwitz zeta function.Riemann zeta function.Hurwitz zeta function.static Apcomplexstatic ApcomplexMethods in org.apfloat that return types with arguments of type ApcomplexModifier and TypeMethodDescriptionIncompleteGammaHelper.ContinuedFraction.getSequence()IncompleteGammaHelper.ContinuedFraction.getSequence()Methods in org.apfloat with parameters of type ApcomplexModifier and TypeMethodDescriptionstatic ApfloatAbsolute value.Absolute value.private static Apfloatstatic ApcomplexInverse cosine.(package private) static ApcomplexArc cosine.static ApcomplexInverse hyperbolic cosine.(package private) static ApcomplexHyperbolic arc cosine.Adds two apcomplex numbers.Addition.static ApcomplexArithmetic-geometric mean.(package private) static ApcomplexArithmetic-geometric mean.private static ApcomplexApcomplexMath.agmConsume(Consumer<Apcomplex> consumer, Apcomplex a, Apcomplex c2, long workingPrecision) static ApcomplexAiry function Ai.(package private) static ApcomplexAiry function Ai.static ApcomplexApcomplexMath.airyAiPrime(Apcomplex z) Derivative of the Airy function Ai.(package private) static ApcomplexApcomplexMath.airyAiPrime(Apcomplex z0, long targetPrecision) FixedPrecisionApcomplexHelper.airyAiPrime(Apcomplex z) Derivative of the Airy function Ai.static ApcomplexAiry function Bi.(package private) static ApcomplexAiry function Bi.static ApcomplexApcomplexMath.airyBiPrime(Apcomplex z) Derivative of the Airy function Bi.(package private) static ApcomplexApcomplexMath.airyBiPrime(Apcomplex z0, long targetPrecision) FixedPrecisionApcomplexHelper.airyBiPrime(Apcomplex z) Derivative of the Airy function Bi.static Apcomplex[]All values of the positive integer root.All branches of a root.static ApcomplexZetaHelper.alternatingSum(Apcomplex s) private ApcomplexHypergeometricHelper.alternative(Apcomplex a, Apcomplex b, Apcomplex c, Apcomplex z) static ApfloatAngle of the complex vector in the complex plane.Complex angle.static ApcomplexInverse sine.Arc sine.static ApcomplexInverse hyperbolic sine.Hyperbolic arc sine.private static IncompleteGammaHelper.GammaValueIncompleteGammaHelper.asymptoticLargeA(Apcomplex a, Apcomplex z) private static IncompleteGammaHelper.GammaValueIncompleteGammaHelper.asymptoticLargeZ(Apcomplex a, Apcomplex z) static ApcomplexInverse tangent.Arc tangent.static ApcomplexInverse hyperbolic tangent.Hyperbolic arc tangent.private static IncompleteGammaHelper.GammaValueIncompleteGammaHelper.attemptUStar(Apcomplex a, Apcomplex z) static ApcomplexApcomplexMath.bernoulliB(long n, Apcomplex z) Bernoulli polynomial.(package private) static ApcomplexApcomplexMath.bernoulliB(long n, Apcomplex z, long precision) FixedPrecisionApcomplexHelper.bernoulliB(long n, Apcomplex z) Bernoulli polynomial.private static ApcomplexHurwitzZetaHelper.bernoulliB(long n, Apcomplex z) private ApcomplexBesselHelper.besselFirstKind(Apcomplex ν, boolean negate) static ApcomplexModified Bessel function of the first kind.private Apcomplexstatic ApcomplexModified Bessel function of the first kind.static ApcomplexBessel function of the first kind.private Apcomplexstatic ApcomplexBessel function of the first kind.static ApcomplexModified Bessel function of the second kind.static ApcomplexModified Bessel function of the second kind.static ApcomplexBessel function of the second kind.static ApcomplexBessel function of the second kind.static ApcomplexBeta function.static ApcomplexIncomplete beta function.static ApcomplexGeneralized incomplete beta function.Beta function.Incomplete beta function.Generalized incomplete beta function.private static ApintHurwitzZetaHelper.binarySearch(Apcomplex s, Apcomplex a, long precision, long targetScale) static ApcomplexBinomial coefficient.Binomial coefficient.static ApcomplexCube root.Cube root.static ApcomplexApcomplexMath.chebyshevT(Apcomplex ν, Apcomplex z) Chebyshev function of the first kind.FixedPrecisionApcomplexHelper.chebyshevT(Apcomplex ν, Apcomplex z) Chebyshev function of the first kind.static ApcomplexApcomplexMath.chebyshevU(Apcomplex ν, Apcomplex z) Chebyshev function of the second kind.FixedPrecisionApcomplexHelper.chebyshevU(Apcomplex ν, Apcomplex z) Chebyshev function of the second kind.private voidHypergeometricHelper.checkDivergence(Apcomplex old, Apcomplex term) static Apcomplexprivate static ApcomplexApfloatHelper.checkPowBasic(Apcomplex z, Apcomplex w, long targetPrecision) private static voidIncompleteGammaHelper.checkPrecision(Apcomplex... z) private ApcomplexFixedPrecisionApcomplexHelper.checkSmallLinear(Apcomplex z) private static Apcomplexprivate ApcomplexLambertWHelper.complexSeries(Apcomplex p) Complex conjugate.static ApcomplexCosine.Cosine.static ApcomplexHyperbolic cosine.Hyperbolic cosine.static ApcomplexApcomplexMath.coshIntegral(Apcomplex z) Hyperbolic cosine integral.FixedPrecisionApcomplexHelper.coshIntegral(Apcomplex z) Hyperbolic cosine integral.static ApcomplexApcomplexMath.cosIntegral(Apcomplex z) Cosine integral.FixedPrecisionApcomplexHelper.cosIntegral(Apcomplex z) Cosine integral.(package private) static Apcomplexprivate Apcomplexstatic ApcomplexDigamma function.Digamma function.Divides two apcomplex numbers.Division.private static Apcomplexprivate Apcomplexprivate Apcomplexstatic ApcomplexComplete elliptic integral of the second kind.(package private) static ApcomplexComplete elliptic integral of the second kind.static ApcomplexComplete elliptic integral of the first kind.(package private) static Apcomplex(package private) static ApcomplexComplete elliptic integral of the first kind.static ApcomplexApfloatHelper.ensureGammaPrecision(Apcomplex z, long precision) private ApcomplexHypergeometricHelper.ensureGammaPrecision(Apcomplex z) static ApcomplexApfloatHelper.ensurePrecision(Apcomplex z, long precision) private ApcomplexBesselHelper.ensurePrecision(Apcomplex z) private ApcomplexHypergeometricHelper.ensurePrecision(Apcomplex z) private voidHypergeometricHelper.ensurePrecision(Apcomplex[] src, Apcomplex[] dest, long extendedPrecision) longApcomplex.equalDigits(Apcomplex z) Computes number of equal digits.static ApcomplexError function.Error function.static ApcomplexComplementary error function.Complementary error function.(package private) static ApcomplexApcomplexMath.erfcFixedPrecision(Apcomplex z) (package private) static ApcomplexApcomplexMath.erfFixedPrecision(Apcomplex z) static ApcomplexImaginary error function.Imaginary error function.(package private) static ApcomplexApcomplexMath.erfiFixedPrecision(Apcomplex z) static ApcomplexEuler polynomial.(package private) static ApcomplexEuler polynomial.private Apcomplexprivate ApcomplexHypergeometricHelper.Hypergeometric2F1Helper.evaluate(Apcomplex a, Apcomplex b, Apcomplex c, Apcomplex z) static ApcomplexExponent function.Exponential function.static ApcomplexApcomplexMath.expIntegralE(Apcomplex ν, Apcomplex z) Exponential integral E.FixedPrecisionApcomplexHelper.expIntegralE(Apcomplex ν, Apcomplex z) Exponential integral E.static ApcomplexApcomplexMath.expIntegralEi(Apcomplex z) Exponential integral Ei.FixedPrecisionApcomplexHelper.expIntegralEi(Apcomplex z) Exponential integral Ei.private static Apcomplexstatic ApcomplexApfloatHelper.extendPrecision(Apcomplex z) static ApcomplexApfloatHelper.extendPrecision(Apcomplex z, long extraPrecision) private static IncompleteGammaHelper.ContinuedFractionIncompleteGammaHelper.fastestG(Apcomplex a, Apcomplex z, IncompleteGammaHelper.ContinuedFraction[] algorithms) static ApcomplexFibonacci function.Fibonacci function.private static longprivate ApcomplexLambertWHelper.fixLogBranch(Apcomplex next, Apcomplex previous) static ApcomplexFresnel integral C.Fresnel integral C.static ApcomplexFresnel integral S.Fresnel integral S.private static ApcomplexApcomplexMath.fresnelTerm(Apint one, Apfloat half, Apfloat invSqrtPi, Apcomplex iz2, Apcomplex iHalfPiZ2) private static ApcomplexIncompleteGammaHelper.g(BiFunction<Apcomplex, Apcomplex, IncompleteGammaHelper.Sequence> s, Apcomplex a, Apcomplex z, long minIterations) static ApcomplexGamma function.static ApcomplexIncomplete gamma function.static ApcomplexGeneralized incomplete gamma function.Gamma function.Incomplete gamma function.Generalized incomplete gamma function.static Apcomplexstatic Apcomplexprivate static IncompleteGammaHelper.GammaValueIncompleteGammaHelper.gammaG(Apcomplex a, Apcomplex z, IncompleteGammaHelper.ContinuedFraction algorithm, IncompleteGammaHelper.ContinuedFractionType type) private static ApcomplexApcomplexMath.gegenbauerC(long n, Apcomplex λ, Apcomplex z) static ApcomplexApcomplexMath.gegenbauerC(Apcomplex ν, Apcomplex z) Renormalized Gegenbauer function.static ApcomplexApcomplexMath.gegenbauerC(Apcomplex ν, Apcomplex λ, Apcomplex z) Gegenbauer function.FixedPrecisionApcomplexHelper.gegenbauerC(Apcomplex ν, Apcomplex z) Renormalized Gegenbauer function.FixedPrecisionApcomplexHelper.gegenbauerC(Apcomplex ν, Apcomplex λ, Apcomplex z) Gegenbauer function.abstract longIncompleteGammaHelper.ContinuedFraction.getMinIterations(Apcomplex a, Apcomplex z) static ApcomplexApcomplexMath.harmonicNumber(Apcomplex z) Harmonic number.static ApcomplexApcomplexMath.harmonicNumber(Apcomplex z, Apcomplex r) Generalized harmonic number.FixedPrecisionApcomplexHelper.harmonicNumber(Apcomplex z) Harmonic number.FixedPrecisionApcomplexHelper.harmonicNumber(Apcomplex z, Apcomplex r) Generalized harmonic number.static ApcomplexHermite function.Hermite function.static ApcomplexApcomplexMath.hypergeometric0F1(Apcomplex a, Apcomplex z) Confluent hypergeometric function 0F1.FixedPrecisionApcomplexHelper.hypergeometric0F1(Apcomplex a, Apcomplex z) Confluent hypergeometric function 0F1.private ApcomplexHypergeometricHelper.hypergeometric0F1(Apcomplex b, Apcomplex z) static ApcomplexApcomplexMath.hypergeometric0F1Regularized(Apcomplex a, Apcomplex z) Regularized confluent hypergeometric function 0F̃1.FixedPrecisionApcomplexHelper.hypergeometric0F1Regularized(Apcomplex a, Apcomplex z) Regularized confluent hypergeometric function 0F̃1.static ApcomplexApcomplexMath.hypergeometric1F1(Apcomplex a, Apcomplex b, Apcomplex z) Kummer confluent hypergeometric function 1F1.FixedPrecisionApcomplexHelper.hypergeometric1F1(Apcomplex a, Apcomplex b, Apcomplex z) Kummer confluent hypergeometric function 1F1.private ApcomplexHypergeometricHelper.hypergeometric1F1(Apcomplex a, Apcomplex b, Apcomplex z) static ApcomplexApcomplexMath.hypergeometric1F1Regularized(Apcomplex a, Apcomplex b, Apcomplex z) Regularized Kummer confluent hypergeometric function 1F̃1.FixedPrecisionApcomplexHelper.hypergeometric1F1Regularized(Apcomplex a, Apcomplex b, Apcomplex z) Regularized Kummer confluent hypergeometric function 1F̃1.private ApcomplexHypergeometricHelper.hypergeometric1F1series(Apcomplex a, Apcomplex b, Apcomplex z) static ApcomplexApcomplexMath.hypergeometric2F1(Apcomplex a, Apcomplex b, Apcomplex c, Apcomplex z) Hypergeometric function 2F1.FixedPrecisionApcomplexHelper.hypergeometric2F1(Apcomplex a, Apcomplex b, Apcomplex c, Apcomplex z) Hypergeometric function 2F1.private ApcomplexHypergeometricHelper.hypergeometric2F1(Apcomplex a, Apcomplex b, Apcomplex c, Apcomplex z) static ApcomplexApcomplexMath.hypergeometric2F1Regularized(Apcomplex a, Apcomplex b, Apcomplex c, Apcomplex z) Regularized hypergeometric function 2F̃1.FixedPrecisionApcomplexHelper.hypergeometric2F1Regularized(Apcomplex a, Apcomplex b, Apcomplex c, Apcomplex z) Regularized hypergeometric function 2F̃1.static ApcomplexHypergeometricHelper.hypergeometricPFQ(Apcomplex[] a, Apcomplex[] b, Apcomplex z) Generalized hypergeometric function pFq.static ApcomplexHypergeometricHelper.hypergeometricPFQRegularized(Apcomplex[] a, Apcomplex[] b, Apcomplex z) Regularized generalized hypergeometric function pF̃q.static ApcomplexApcomplexMath.hypergeometricU(Apcomplex a, Apcomplex b, Apcomplex z) Tricomi's confluent hypergeometric function U.FixedPrecisionApcomplexHelper.hypergeometricU(Apcomplex a, Apcomplex b, Apcomplex z) Tricomi's confluent hypergeometric function U.static ApcomplexHypergeometricHelper.hypergeometricU(Apcomplex a, Apcomplex b, Apcomplex z, boolean fastOnly) Tricomi's confluent hypergeometric function U.private ApcomplexHypergeometricHelper.hypergeometricUStar(Apcomplex a, Apcomplex b, Apcomplex z) private static ApcomplexImaginary part.static ApcomplexApcomplexMath.inverseRoot(Apcomplex z, long n) Inverse positive integer root.static ApcomplexApcomplexMath.inverseRoot(Apcomplex z, long n, long k) Inverse positive integer root.FixedPrecisionApcomplexHelper.inverseRoot(Apcomplex z, long n) Inverse root.FixedPrecisionApcomplexHelper.inverseRoot(Apcomplex z, long n, long k) Inverse root with branch.private static ApcomplexApcomplexMath.inverseRootAbs(Apcomplex z, long n, long k) abstract booleanHypergeometricHelper.Transformation.isApplicable(Apcomplex z) private static booleanIncompleteGammaHelper.isCloseToNegativeRealAxis(Apcomplex z) private static booleanIncompleteGammaHelper.isMaybeUnstable(Apcomplex a, Apcomplex z) (package private) static booleanApcomplexMath.isNonPositiveInteger(Apcomplex z) private static Apcomplexstatic ApcomplexJacobi function.Jacobi function.static ApcomplexLaguerre function.static ApcomplexGeneralized Laguerre function.Laguerre function.Generalized Laguerre function.private static ApcomplexApcomplexMath.lastIterationExtendPrecision(int iterations, int precisingIteration, Apcomplex z) static ApcomplexLegendre function.static ApcomplexAssociated Legendre function of the first kind.Legendre function.Associated Legendre function of the first kind.static ApcomplexLegendre function of the second kind.static ApcomplexAssociated Legendre function of the second kind.Legendre function of the second kind.Associated Legendre function of the second kind.private static ApcomplexApcomplexMath.limitPrecision(Apcomplex z) static ApcomplexApfloatHelper.limitPrecision(Apcomplex z, long precision) static ApcomplexNatural logarithm.static ApcomplexLogarithm in arbitrary base.Natural logarithm.Logarithm in specified base.private Apcomplexprivate Apcomplexstatic ApcomplexLogarithm of the gamma function.Logarithm of the gamma function.static ApcomplexApcomplexMath.logIntegral(Apcomplex z) Logarithmic integral.FixedPrecisionApcomplexHelper.logIntegral(Apcomplex z) Logarithmic integral.static ApcomplexApcomplexMath.logisticSigmoid(Apcomplex z) Logistic sigmoid.FixedPrecisionApcomplexHelper.logisticSigmoid(Apcomplex z) Logistic sigmoid.private static ApcomplexApcomplexMath.logPochhammer(Apcomplex z, long n) private static Apcomplexprivate static IncompleteGammaHelper.GammaValueIncompleteGammaHelper.lowerGamma(Apcomplex a, Apcomplex z, IncompleteGammaHelper.ContinuedFraction[] algorithms) private static IncompleteGammaHelper.SequenceIncompleteGammaHelper.lowerGammaSequence(Apcomplex a, Apcomplex z) private static IncompleteGammaHelper.SequenceIncompleteGammaHelper.lowerGammaSequenceAlternative(Apcomplex a, Apcomplex z) static ApfloatHypergeometricHelper.maxNonPositiveInteger(Apcomplex... a) Multiplies two apcomplex numbers.Multiplication.static ApcomplexDeprecated.UseApcomplex.negate().Negation.static ApfloatNorm.Norm.static <T extends Apcomplex>
voidParallelHelper.parallelProduct(T[] x, Queue<T> heap, ParallelHelper.ProductKernel<T> kernel) Multiply two smallest elements in the heap and put the product back to the heap, until only one element remains.(package private) static ApcomplexApcomplexMath.pochhammer(Apcomplex z, long n) static ApcomplexApcomplexMath.pochhammer(Apcomplex z, Apcomplex n) Pochhammer symbol.FixedPrecisionApcomplexHelper.pochhammer(Apcomplex z, Apcomplex n) Pochhammer symbol.private static ApcomplexHurwitzZetaHelper.pochhammer(Apcomplex s, long n) static ApcomplexPolygamma function.Polygamma function.static ApcomplexPolylogarithm.Polylogarithm.static ApcomplexInteger power.static ApcomplexArbitrary power.Integer power.Power.private static Apcomplexprivate static longprivate static longstatic ApcomplexProduct of numbers.Product.private static Apfloatprivate static ApcomplexReal part.private ApfloatLambertWHelper.realSeries(Apcomplex p) static ApcomplexApfloatHelper.reducePrecision(Apcomplex z) static ApcomplexApfloatHelper.reducePrecision(Apcomplex z, long extraPrecision) private Apcomplexprivate static Apcomplexstatic ApcomplexPositive integer root.static ApcomplexPositive integer root.Root.Root with branch.private static Apcomplexstatic ApcomplexMultiply by a power of the radix.Move the radix point.private ApcomplexFixedPrecisionApcomplexHelper.setErfPrecision(Apcomplex z) private ApcomplexFixedPrecisionApcomplexHelper.setExpTrigPrecision(Apcomplex z) private ApcomplexFixedPrecisionApcomplexHelper.setGammaPrecision(Apcomplex z) private ApcomplexFixedPrecisionApcomplexHelper.setLogarithmicPrecision(Apcomplex z) static ApcomplexApfloatHelper.setPrecision(Apcomplex z, long precision) private ApcomplexFixedPrecisionApcomplexHelper.setPrecision(Apcomplex z) private Apcomplex[]FixedPrecisionApcomplexHelper.setPrecision(Apcomplex[] z) private ApcomplexFixedPrecisionApcomplexHelper.setTrigExpPrecision(Apcomplex z) private ApcomplexFixedPrecisionApcomplexHelper.setZetaPrecision(Apcomplex z) static ApcomplexSine.Sine.static ApcomplexSinc.Sinc.static ApcomplexHyperbolic sine.Hyperbolic sine.static ApcomplexApcomplexMath.sinhIntegral(Apcomplex z) Hyperbolic sine integral.FixedPrecisionApcomplexHelper.sinhIntegral(Apcomplex z) Hyperbolic sine integral.static ApcomplexApcomplexMath.sinIntegral(Apcomplex z) Sine integral.FixedPrecisionApcomplexHelper.sinIntegral(Apcomplex z) Sine integral.static ApcomplexApcomplexMath.sphericalHarmonicY(Apcomplex λ, Apcomplex μ, Apcomplex ϑ, Apcomplex ϕ) Spherical harmonic function.private static ApcomplexApcomplexMath.sphericalHarmonicY(Apint n, Apint m, Apcomplex ϑ, Apcomplex ϕ) FixedPrecisionApcomplexHelper.sphericalHarmonicY(Apcomplex λ, Apcomplex μ, Apcomplex ϑ, Apcomplex ϕ) Spherical harmonic function.static ApcomplexSquare root.Square root.Subtracts two apcomplex numbers.Subtraction.static ApcomplexSum of numbers.Sum.private static Apcomplexprivate static Apcomplexstatic ApcomplexTangent.(package private) static ApcomplexTangent.(package private) static ApcomplexApcomplexMath.tanFixedPrecision(Apcomplex z) static ApcomplexHyperbolic tangent.private static ApcomplexHyperbolic tangent.(package private) static ApcomplexApcomplexMath.tanhFixedPrecision(Apcomplex z) booleanTests two apcomplex numbers for equality.private static ApcomplexHypergeometricHelper.Hypergeometric2F1Helper.transform(Apcomplex s, Apcomplex c, Apcomplex base1, Apcomplex exp1, Apcomplex g1, Apcomplex g2, Apcomplex a1, Apcomplex b1, Apcomplex c1, Apcomplex base2, Apcomplex exp2, Apcomplex base3, Apcomplex exp3, Apcomplex g3, Apcomplex g4, Apcomplex a2, Apcomplex b2, Apcomplex c2, Apcomplex z) static ApfloatReturns the unit in the last place of the argument, considering the scale and precision.Unit in the last place.private static ApcomplexIncompleteGammaHelper.upperGamma(long mn, Apcomplex z) private static IncompleteGammaHelper.GammaValueIncompleteGammaHelper.upperGamma(Apcomplex a, Apcomplex z) private static IncompleteGammaHelper.SequenceIncompleteGammaHelper.upperGammaSequence(Apcomplex a, Apcomplex z) private static IncompleteGammaHelper.SequenceIncompleteGammaHelper.upperGammaSequenceAlternative(Apcomplex a, Apcomplex z) private static booleanIncompleteGammaHelper.useAsymptoticLarge(Apcomplex larger, Apcomplex smaller) private static booleanIncompleteGammaHelper.useLowerGamma(Apcomplex a, Apcomplex z) private static booleanprivate static booleanIncompleteGammaHelper.useUpperGamma(Apcomplex a, Apcomplex z) Returns the value with the specified precision.static ApcomplexLambert W function.static ApcomplexLambert W function for the specified branch.Lambert W function.Lambert W function for the specified branch.static Apcomplexstatic Apcomplexabstract Apcomplexstatic ApcomplexRiemann zeta function.static ApcomplexHurwitz zeta function.Riemann zeta function.Hurwitz zeta function.static Apcomplexstatic Apcomplexprivate static longMethod parameters in org.apfloat with type arguments of type ApcomplexModifier and TypeMethodDescription(package private) static Apcomplexprivate static ApcomplexApcomplexMath.agmConsume(Consumer<Apcomplex> consumer, Apcomplex a, Apcomplex c2, long workingPrecision) private static Apcomplexprivate ApcomplexBesselHelper.besselSecondKind(BiFunction<Apcomplex, Apcomplex, Apcomplex> f) private ApcomplexBesselHelper.besselSecondKind(BiFunction<Apcomplex, Apcomplex, Apcomplex> f) private ApcomplexBesselHelper.besselSecondKind(BiFunction<Apcomplex, Apcomplex, Apcomplex> f) (package private) static Apcomplexprivate static ApcomplexIncompleteGammaHelper.g(BiFunction<Apcomplex, Apcomplex, IncompleteGammaHelper.Sequence> s, Apcomplex a, Apcomplex z, long minIterations) private static ApcomplexIncompleteGammaHelper.g(BiFunction<Apcomplex, Apcomplex, IncompleteGammaHelper.Sequence> s, Apcomplex a, Apcomplex z, long minIterations) Constructors in org.apfloat with parameters of type ApcomplexModifierConstructorDescriptionprivateBesselHelper(Apcomplex ν, Apcomplex z) Helper for Bessel functions.ContinuedFractionResult(Apcomplex result, Apcomplex delta, long iterations) GammaValue(Apcomplex a, Apcomplex result, boolean inverted) privateHypergeometricHelper(Apcomplex[] a, Apcomplex[] b, Apcomplex z) Helper for the generalized hypergeometric function pFq.privateLambertWHelper(Apcomplex z, long k) Constructor parameters in org.apfloat with type arguments of type ApcomplexModifierConstructorDescriptionprivateContinuedFraction(IncompleteGammaHelper.ContinuedFractionType type, BiFunction<Apcomplex, Apcomplex, IncompleteGammaHelper.Sequence> sequence) privateContinuedFraction(IncompleteGammaHelper.ContinuedFractionType type, BiFunction<Apcomplex, Apcomplex, IncompleteGammaHelper.Sequence> sequence) -
Uses of Apcomplex in org.apfloat.calc
Methods in org.apfloat.calc with type parameters of type ApcomplexModifier and TypeMethodDescriptionApfloatCalculatorImpl.fixedOrArbitraryPrecision(BiFunction<T, U, Apcomplex> fixedPrecisionFunction, BiFunction<T, U, Apcomplex> arbitraryPrecisionFunction, T x, U y) Method parameters in org.apfloat.calc with type arguments of type ApcomplexModifier and TypeMethodDescriptionApfloatCalculatorImpl.fixedOrArbitraryPrecision(BiFunction<T, U, Apcomplex> fixedPrecisionFunction, BiFunction<T, U, Apcomplex> arbitraryPrecisionFunction, T x, U y) private NumberApfloatCalculatorImpl.fixedOrArbitraryPrecision(Function<Apcomplex, Apcomplex> fixedPrecisionFunction, Function<Apcomplex, Apcomplex> arbitraryPrecisionFunction, Number x) private NumberApfloatCalculatorImpl.fixedOrArbitraryPrecision(Function<Apcomplex, Apcomplex> fixedPrecisionFunction, Function<Apcomplex, Apcomplex> arbitraryPrecisionFunction, Number x)
Apcomplex.negate().