Uses of Interface
fr.cnes.sirius.patrius.math.analysis.UnivariateFunction

Packages that use UnivariateFunction

Package	Description
fr.cnes.sirius.patrius.math.analysis	Parent package for common numerical analysis procedures, including root finding, function interpolation and integration.
fr.cnes.sirius.patrius.math.analysis.differentiation	This package holds the main interfaces and basic building block classes dealing with differentiation.
fr.cnes.sirius.patrius.math.analysis.function
fr.cnes.sirius.patrius.math.analysis.integration
fr.cnes.sirius.patrius.math.analysis.integration.gauss
fr.cnes.sirius.patrius.math.analysis.interpolation
fr.cnes.sirius.patrius.math.analysis.polynomials
fr.cnes.sirius.patrius.math.analysis.solver
fr.cnes.sirius.patrius.math.linear
fr.cnes.sirius.patrius.math.optim.univariate
fr.cnes.sirius.patrius.math.transform

Uses of UnivariateFunction in fr.cnes.sirius.patrius.math.analysis

Subinterfaces of UnivariateFunction in fr.cnes.sirius.patrius.math.analysis

Modifier and Type	Interface and Description
interface	DifferentiableIntegrableUnivariateFunction Extension of UnivariateFunction representing a differentiable and integrable univariate real function.
interface	IntegrableUnivariateFunction Extension of UnivariateFunction representing an integrable univariate real function.

Methods in fr.cnes.sirius.patrius.math.analysis that return UnivariateFunction

Modifier and Type	Method and 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.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.
UnivariateFunction	IntegrableUnivariateFunction.primitive() Returns the primitive of the function

Methods in fr.cnes.sirius.patrius.math.analysis with parameters of type UnivariateFunction

Modifier and Type	Method and 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 h(x[]) = combiner(...combiner(combiner(initialValue,f(x[0])),f(x[1]))...)
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.

Uses of UnivariateFunction in fr.cnes.sirius.patrius.math.analysis.differentiation

Subinterfaces of UnivariateFunction in fr.cnes.sirius.patrius.math.analysis.differentiation

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

Methods in fr.cnes.sirius.patrius.math.analysis.differentiation with parameters of type UnivariateFunction

Modifier and Type	Method and Description
double	RiddersDifferentiator.differentiate(double x, UnivariateFunction f) Differentiates a UnivariateFunction on a single point using the Ridders method.
UnivariateDifferentiableFunction	RiddersDifferentiator.differentiate(UnivariateFunction function) Create an implementation of a differential from a regular function.
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 fr.cnes.sirius.patrius.math.analysis.function

Classes in fr.cnes.sirius.patrius.math.analysis.function that implement UnivariateFunction

Modifier and Type	Class and 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	Signum signum function.
class	Sin Sine function.
class	Sinc Sinc function, defined by sinc(x) = 1 if x = 0, sin(x) / x otherwise.
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 fr.cnes.sirius.patrius.math.analysis.integration

Methods in fr.cnes.sirius.patrius.math.analysis.integration with parameters of type UnivariateFunction

Modifier and Type	Method and Description
double	UnivariateIntegrator.integrate(int maxEval, UnivariateFunction f, double min, double max) Integrate the function in the given interval.
double	BaseAbstractUnivariateIntegrator.integrate(int maxEval, UnivariateFunction f, double lower, double upper) 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 fr.cnes.sirius.patrius.math.analysis.integration.gauss

Methods in fr.cnes.sirius.patrius.math.analysis.integration.gauss with parameters of type UnivariateFunction

Modifier and Type	Method and Description
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.

Uses of UnivariateFunction in fr.cnes.sirius.patrius.math.analysis.interpolation

Classes in fr.cnes.sirius.patrius.math.analysis.interpolation that implement UnivariateFunction

Modifier and Type	Class and Description
class	UniLinearIntervalsFunction Implements the representation of a linear function in dimension 1.

Methods in fr.cnes.sirius.patrius.math.analysis.interpolation that return UnivariateFunction

Modifier and Type	Method and 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 fr.cnes.sirius.patrius.math.analysis.polynomials

Classes in fr.cnes.sirius.patrius.math.analysis.polynomials that implement UnivariateFunction

Modifier and Type	Class and Description
class	FourierSeries This class represents a finite Fourier Series
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.
class	TrigonometricPolynomialFunction This class is the Trigonometric Polynomial Function class.
class	TrigonometricPolynomialPrimitive This class represents a trigonometric polynomial primitive.

Methods in fr.cnes.sirius.patrius.math.analysis.polynomials that return UnivariateFunction

Modifier and Type	Method and Description
static UnivariateFunction	ElementaryMultiplicationTypes.componentProvider(ElementaryMultiplicationTypes.ElementaryType intermediateType, int intermediateOrder, double period) This method provides the UnivariateFunction cos(intermediateOrder * omega * x) or sin
UnivariateFunction	TrigonometricPolynomialPrimitive.derivative() Get first order derivative
UnivariateFunction	PolynomialFunction.derivative() Returns the derivative as a UnivariateFunction.
UnivariateFunction	TrigonometricPolynomialFunction.derivative() Compute and return derivative of polynomial
UnivariateFunction	PolynomialSplineFunction.derivative() Get the derivative of the polynomial spline function.
UnivariateFunction	FourierSeries.derivative() Compute and return derivative of polynomial
UnivariateFunction	TrigonometricPolynomialPrimitive.derivative(int n) Get nth order derivative
UnivariateFunction	TrigonometricPolynomialFunction.derivative(int n) Compute and return nth derivative of polynomial
UnivariateFunction	FourierSeries.derivative(int n) Compute and return nth derivative of polynomial
UnivariateFunction	FourierSeriesApproximation.getFunction()
UnivariateFunction	TrigonometricPolynomialFunction.primitive() Get primitive of TrigonometricPolynomialFunction
UnivariateFunction	FourierSeries.primitive() Get primitive of TrigonometricPolynomialFunction

Methods in fr.cnes.sirius.patrius.math.analysis.polynomials with parameters of type UnivariateFunction

Modifier and Type	Method and Description
void	FourierDecompositionEngine.setFunction(UnivariateFunction function, double period) Set the UnivariateFunction to decompose and its period.

Constructors in fr.cnes.sirius.patrius.math.analysis.polynomials with parameters of type UnivariateFunction

Constructor and Description
FourierSeriesApproximation(UnivariateFunction fun, FourierSeries fou) Constructor.

Uses of UnivariateFunction in fr.cnes.sirius.patrius.math.analysis.solver

Classes in fr.cnes.sirius.patrius.math.analysis.solver with type parameters of type UnivariateFunction

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

Methods in fr.cnes.sirius.patrius.math.analysis.solver with parameters of type UnivariateFunction

Modifier and Type	Method and Description
static double[]	UnivariateSolverUtils.bracket(UnivariateFunction function, double initial, double lowerBound, double upperBound) 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 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.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 was a bracketing one.
static boolean	UnivariateSolverUtils.isBracketing(UnivariateFunction function, double lower, double upper) Check whether the interval bounds bracket a root.
double	BracketingNthOrderBrentSolver.solve(int maxEval, UnivariateFunction f, double min, double max, AllowedSolution allowedSolution) Solve for a zero in the given interval.
double	BaseSecantSolver.solve(int maxEval, UnivariateFunction f, double min, double max, AllowedSolution allowedSolution) Solve for a zero in the given interval.
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	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	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.
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.
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 fr.cnes.sirius.patrius.math.analysis.solver with type arguments of type UnivariateFunction

Modifier and Type	Method and 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 was a bracketing one.

Uses of UnivariateFunction in fr.cnes.sirius.patrius.math.linear

Methods in fr.cnes.sirius.patrius.math.linear with parameters of type UnivariateFunction

Modifier and Type	Method and Description
ArrayRealVector	ArrayRealVector.map(UnivariateFunction function) Acts as if implemented as: return copy().mapToSelf(function); Returns a new vector.
RealVector	RealVector.map(UnivariateFunction function) Acts as if implemented as: return copy().mapToSelf(function); Returns a new vector.
ArrayRealVector	ArrayRealVector.mapToSelf(UnivariateFunction function) Acts as if it is implemented as: Entry e = null; for (Iterator<Entry> it = iterator(); it.hasNext(); e = it.next()) { e.setValue(function.value(e.getValue())); } Entries of this vector are modified in-place by this method.
RealVector	RealVector.mapToSelf(UnivariateFunction function) Acts as if it is implemented as: Entry e = null; for (Iterator<Entry> it = iterator(); it.hasNext(); e = it.next()) { e.setValue(function.value(e.getValue())); } Entries of this vector are modified in-place by this method.

Uses of UnivariateFunction in fr.cnes.sirius.patrius.math.optim.univariate

Methods in fr.cnes.sirius.patrius.math.optim.univariate that return UnivariateFunction

Modifier and Type	Method and Description
UnivariateFunction	UnivariateObjectiveFunction.getObjectiveFunction() Gets the function to be optimized.

Methods in fr.cnes.sirius.patrius.math.optim.univariate with parameters of type UnivariateFunction

Modifier and Type	Method and Description
void	BracketFinder.search(UnivariateFunction func, GoalType goal, double xAIn, double xBIn) Search new points that bracket a local optimum of the function.

Constructors in fr.cnes.sirius.patrius.math.optim.univariate with parameters of type UnivariateFunction

Constructor and Description
UnivariateObjectiveFunction(UnivariateFunction f)

Uses of UnivariateFunction in fr.cnes.sirius.patrius.math.transform

Methods in fr.cnes.sirius.patrius.math.transform with parameters of type UnivariateFunction

Modifier and Type	Method and Description
Complex[]	AbstractFastFourierTransformer.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.
Complex[]	IFastFourierTransformer.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.
double[]	FastCosineTransformer.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.
double[]	FastHadamardTransformer.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.
double[]	RealTransformer.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.
double[]	FastSineTransformer.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.