Uses of Interface
org.hipparchus.analysis.UnivariateFunction

Packages that use UnivariateFunction

Package	Description
org.hipparchus.analysis	Parent package for common numerical analysis procedures, including root finding, function interpolation and integration.
org.hipparchus.analysis.differentiation	This package holds the main interfaces and basic building block classes dealing with differentiation.
org.hipparchus.analysis.function	The function package contains function objects that wrap the methods contained in Math, as well as common mathematical functions such as the gaussian and sinc functions.
org.hipparchus.analysis.integration	Numerical integration (quadrature) algorithms for univariate real functions.
org.hipparchus.analysis.integration.gauss	Gauss family of quadrature schemes.
org.hipparchus.analysis.interpolation	Univariate real functions interpolation algorithms.
org.hipparchus.analysis.polynomials	Univariate real polynomials implementations, seen as differentiable univariate real functions.
org.hipparchus.analysis.solvers	Root finding algorithms, for univariate real functions.
org.hipparchus.linear	Linear algebra support.
org.hipparchus.special	Implementations of special functions such as Beta and Gamma.

Uses of UnivariateFunction in org.hipparchus.analysis

Methods in org.hipparchus.analysis that return UnivariateFunction

Modifier and Type	Method	Description
static UnivariateFunction	FunctionUtils.add(UnivariateFunction... f)	Adds functions.
static UnivariateFunction	FunctionUtils.combine(BivariateFunction combiner, UnivariateFunction f, UnivariateFunction g)	Returns the univariate function h(x) = combiner(f(x), g(x)).
static UnivariateFunction	FunctionUtils.compose(UnivariateFunction... f)	Composes functions.
static UnivariateFunction	FunctionUtils.derivative(UnivariateDifferentiableFunction f, int order)	Convert an UnivariateDifferentiableFunction to an UnivariateFunction computing nth order derivative.
static UnivariateFunction	FunctionUtils.fix1stArgument(BivariateFunction f, double fixed)	Creates a unary function by fixing the first argument of a binary function.
static UnivariateFunction	FunctionUtils.fix2ndArgument(BivariateFunction f, double fixed)	Creates a unary function by fixing the second argument of a binary function.
static UnivariateFunction	FunctionUtils.multiply(UnivariateFunction... f)	Multiplies functions.

Methods in org.hipparchus.analysis with parameters of type UnivariateFunction

Modifier and Type	Method	Description
static UnivariateFunction	FunctionUtils.add(UnivariateFunction... f)	Adds functions.
static MultivariateFunction	FunctionUtils.collector(BivariateFunction combiner, UnivariateFunction f, double initialValue)	Returns a MultivariateFunction h(x[]) defined by
static UnivariateFunction	FunctionUtils.combine(BivariateFunction combiner, UnivariateFunction f, UnivariateFunction g)	Returns the univariate function h(x) = combiner(f(x), g(x)).
static UnivariateFunction	FunctionUtils.compose(UnivariateFunction... f)	Composes functions.
static UnivariateFunction	FunctionUtils.multiply(UnivariateFunction... f)	Multiplies functions.
static double[]	FunctionUtils.sample(UnivariateFunction f, double min, double max, int n)	Samples the specified univariate real function on the specified interval.
static UnivariateDifferentiableFunction	FunctionUtils.toDifferentiable(UnivariateFunction f, UnivariateFunction... derivatives)	Convert regular functions to UnivariateDifferentiableFunction.

Uses of UnivariateFunction in org.hipparchus.analysis.differentiation

Subinterfaces of UnivariateFunction in org.hipparchus.analysis.differentiation

Modifier and Type	Interface	Description
interface	UnivariateDifferentiableFunction	Interface for univariate functions derivatives.

Methods in org.hipparchus.analysis.differentiation with parameters of type UnivariateFunction

Modifier and Type	Method	Description
UnivariateDifferentiableFunction	FiniteDifferencesDifferentiator.differentiate(UnivariateFunction function)	Create an implementation of a differential from a regular function.
UnivariateDifferentiableFunction	UnivariateFunctionDifferentiator.differentiate(UnivariateFunction function)	Create an implementation of a differential from a regular function.

Uses of UnivariateFunction in org.hipparchus.analysis.function

Classes in org.hipparchus.analysis.function that implement UnivariateFunction

Modifier and Type	Class	Description
class	Abs	Absolute value function.
class	Acos	Arc-cosine function.
class	Acosh	Hyperbolic arc-cosine function.
class	Asin	Arc-sine function.
class	Asinh	Hyperbolic arc-sine function.
class	Atan	Arc-tangent function.
class	Atanh	Hyperbolic arc-tangent function.
class	Cbrt	Cube root function.
class	Ceil	ceil function.
class	Constant	Constant function.
class	Cos	Cosine function.
class	Cosh	Hyperbolic cosine function.
class	Exp	Exponential function.
class	Expm1	ex-1 function.
class	Floor	floor function.
class	Gaussian	Gaussian function.
class	HarmonicOscillator	simple harmonic oscillator function.
class	Identity	Identity function.
class	Inverse	Inverse function.
class	Log	Natural logarithm function.
class	Log10	Base 10 logarithm function.
class	Log1p	log(1 + p) function.
class	Logistic	Generalised logistic function.
class	Logit	Logit function.
class	Minus	Minus function.
class	Power	Power function.
class	Rint	rint function.
class	Sigmoid	Sigmoid function.
class	Sin	Sine function.
class	Sinc	Sinc function, defined by
class	Sinh	Hyperbolic sine function.
class	Sqrt	Square-root function.
class	StepFunction	Step function.
class	Tan	Tangent function.
class	Tanh	Hyperbolic tangent function.
class	Ulp	ulp function.

Uses of UnivariateFunction in org.hipparchus.analysis.integration

Methods in org.hipparchus.analysis.integration with parameters of type UnivariateFunction

Modifier and Type	Method	Description
double	BaseAbstractUnivariateIntegrator.integrate(int maxEval, UnivariateFunction f, double lower, double upper)	Integrate the function in the given interval.
double	UnivariateIntegrator.integrate(int maxEval, UnivariateFunction f, double min, double max)	Integrate the function in the given interval.
protected void	BaseAbstractUnivariateIntegrator.setup(int maxEval, UnivariateFunction f, double lower, double upper)	Prepare for computation.

Uses of UnivariateFunction in org.hipparchus.analysis.integration.gauss

Methods in org.hipparchus.analysis.integration.gauss with parameters of type UnivariateFunction

Modifier and Type	Method	Description
protected double[]	AbstractRuleFactory.findRoots(int n, UnivariateFunction ratioEvaluator)	Computes roots of the associated orthogonal polynomials.
double	GaussIntegrator.integrate(UnivariateFunction f)	Returns an estimate of the integral of f(x) * w(x), where w is a weight function that depends on the actual flavor of the Gauss integration scheme.
double	SymmetricGaussIntegrator.integrate(UnivariateFunction f)	Returns an estimate of the integral of f(x) * w(x), where w is a weight function that depends on the actual flavor of the Gauss integration scheme.

Uses of UnivariateFunction in org.hipparchus.analysis.interpolation

Methods in org.hipparchus.analysis.interpolation that return UnivariateFunction

Modifier and Type	Method	Description
UnivariateFunction	UnivariateInterpolator.interpolate(double[] xval, double[] yval)	Compute an interpolating function for the dataset.
UnivariateFunction	UnivariatePeriodicInterpolator.interpolate(double[] xval, double[] yval)	Compute an interpolating function for the dataset.

Uses of UnivariateFunction in org.hipparchus.analysis.polynomials

Classes in org.hipparchus.analysis.polynomials that implement UnivariateFunction

Modifier and Type	Class	Description
class	PolynomialFunction	Immutable representation of a real polynomial function with real coefficients.
class	PolynomialFunctionLagrangeForm	Implements the representation of a real polynomial function in Lagrange Form.
class	PolynomialFunctionNewtonForm	Implements the representation of a real polynomial function in Newton Form.
class	PolynomialSplineFunction	Represents a polynomial spline function.
static class	SmoothStepFactory.QuadraticSmoothStepFunction	Specific smoothstep function that cannot be built using the SmoothStepFactory.getGeneralOrder(int).
static class	SmoothStepFactory.SmoothStepFunction	Smoothstep function as defined here.

Uses of UnivariateFunction in org.hipparchus.analysis.solvers

Classes in org.hipparchus.analysis.solvers with type parameters of type UnivariateFunction

Modifier and Type	Class	Description
class	BaseAbstractUnivariateSolver<F extends UnivariateFunction>	Provide a default implementation for several functions useful to generic solvers.
interface	BaseUnivariateSolver<F extends UnivariateFunction>	Interface for (univariate real) rootfinding algorithms.
interface	BracketedUnivariateSolver<F extends UnivariateFunction>	Interface for (univariate real) root-finding algorithms that maintain a bracketed solution.

Methods in org.hipparchus.analysis.solvers with parameters of type UnivariateFunction

Modifier and Type	Method	Description
static double[]	UnivariateSolverUtils.bracket(UnivariateFunction function, double initial, double lowerBound, double upperBound)	This method simply calls bracket(function, initial, lowerBound, upperBound, q, r, maximumIterations) with q and r set to 1.0 and maximumIterations set to Integer.MAX_VALUE.
static double[]	UnivariateSolverUtils.bracket(UnivariateFunction function, double initial, double lowerBound, double upperBound, double q, double r, int maximumIterations)	This method attempts to find two values a and b satisfying lowerBound <= a < initial < b <= upperBound f(a) * f(b) <= 0 If f is continuous on [a,b], this means that a and b bracket a root of f.
static double[]	UnivariateSolverUtils.bracket(UnivariateFunction function, double initial, double lowerBound, double upperBound, int maximumIterations)	This method simply calls bracket(function, initial, lowerBound, upperBound, q, r, maximumIterations) with q and r set to 1.0.
static double	UnivariateSolverUtils.forceSide(int maxEval, UnivariateFunction f, BracketedUnivariateSolver<UnivariateFunction> bracketing, double baseRoot, double min, double max, AllowedSolution allowedSolution)	Force a root found by a non-bracketing solver to lie on a specified side, as if the solver were a bracketing one.
static boolean	UnivariateSolverUtils.isBracketing(UnivariateFunction function, double lower, double upper)	Check whether the interval bounds bracket a root.
double	BaseSecantSolver.solve(int maxEval, UnivariateFunction f, double min, double max, double startValue)	Solve for a zero in the given interval, start at startValue.
double	BaseSecantSolver.solve(int maxEval, UnivariateFunction f, double min, double max, double startValue, AllowedSolution allowedSolution)	Solve for a zero in the given interval, start at startValue.
double	BaseSecantSolver.solve(int maxEval, UnivariateFunction f, double min, double max, AllowedSolution allowedSolution)	Solve for a zero in the given interval.
double	BracketingNthOrderBrentSolver.solve(int maxEval, UnivariateFunction f, double min, double max, double startValue, AllowedSolution allowedSolution)	Solve for a zero in the given interval, start at startValue.
double	BracketingNthOrderBrentSolver.solve(int maxEval, UnivariateFunction f, double min, double max, AllowedSolution allowedSolution)	Solve for a zero in the given interval.
static double	UnivariateSolverUtils.solve(UnivariateFunction function, double x0, double x1)	Convenience method to find a zero of a univariate real function.
static double	UnivariateSolverUtils.solve(UnivariateFunction function, double x0, double x1, double absoluteAccuracy)	Convenience method to find a zero of a univariate real function.
BracketedUnivariateSolver.Interval	BaseSecantSolver.solveInterval(int maxEval, UnivariateFunction f, double min, double max, double startValue)	Solve for a zero in the given interval and return a tolerance interval surrounding the root.
BracketedUnivariateSolver.Interval	BracketingNthOrderBrentSolver.solveInterval(int maxEval, UnivariateFunction f, double min, double max, double startValue)	Solve for a zero in the given interval and return a tolerance interval surrounding the root.
static void	UnivariateSolverUtils.verifyBracketing(UnivariateFunction function, double lower, double upper)	Check that the endpoints specify an interval and the end points bracket a root.

Method parameters in org.hipparchus.analysis.solvers with type arguments of type UnivariateFunction

Modifier and Type	Method	Description
static double	UnivariateSolverUtils.forceSide(int maxEval, UnivariateFunction f, BracketedUnivariateSolver<UnivariateFunction> bracketing, double baseRoot, double min, double max, AllowedSolution allowedSolution)	Force a root found by a non-bracketing solver to lie on a specified side, as if the solver were a bracketing one.

Uses of UnivariateFunction in org.hipparchus.linear

Methods in org.hipparchus.linear with parameters of type UnivariateFunction

Modifier and Type	Method	Description
ArrayRealVector	ArrayRealVector.map(UnivariateFunction function)	Acts as if implemented as:
default RealMatrix	RealMatrix.map(UnivariateFunction function)	Acts as if implemented as:
RealVector	RealVector.map(UnivariateFunction function)	Acts as if implemented as:
ArrayRealVector	ArrayRealVector.mapToSelf(UnivariateFunction function)	Acts as if it is implemented as:
default RealMatrix	RealMatrix.mapToSelf(UnivariateFunction function)	Replace each entry by the result of applying the function to it.
RealVector	RealVector.mapToSelf(UnivariateFunction function)	Acts as if it is implemented as:

Uses of UnivariateFunction in org.hipparchus.special

Classes in org.hipparchus.special that implement UnivariateFunction

Modifier and Type	Class	Description
class	BesselJ	This class provides computation methods related to Bessel functions of the first kind.