Uses of Interface
org.hipparchus.CalculusFieldElement

Packages that use CalculusFieldElement

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.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.complex	Complex number type and implementations of complex transcendental functions.
org.hipparchus.dfp	Decimal floating point library for Java
org.hipparchus.geometry.euclidean.threed	This package provides basic 3D geometry components.
org.hipparchus.geometry.euclidean.twod	This package provides basic 2D geometry components.
org.hipparchus.linear	Linear algebra support.
org.hipparchus.ode	This package provides classes to solve Ordinary Differential Equations problems.
org.hipparchus.ode.events	Events
org.hipparchus.ode.nonstiff	This package provides classes to solve non-stiff Ordinary Differential Equations problems.
org.hipparchus.ode.sampling	This package provides classes to handle sampling steps during Ordinary Differential Equations integration.
org.hipparchus.special	Implementations of special functions such as Beta and Gamma.
org.hipparchus.special.elliptic.carlson	Implementations of Carlson elliptic integrals.
org.hipparchus.special.elliptic.jacobi	Implementations of Jacobi elliptic functions.
org.hipparchus.special.elliptic.legendre	Implementations of Legendre elliptic integrals.
org.hipparchus.util	Convenience routines and common data structures used throughout the Hipparchus library.

Uses of CalculusFieldElement in org.hipparchus.analysis

Classes in org.hipparchus.analysis with type parameters of type CalculusFieldElement

Modifier and Type	Interface	Description
interface	CalculusFieldBivariateFunction<T extends CalculusFieldElement<T>>	An interface representing a bivariate field function.
interface	CalculusFieldMultivariateFunction<T extends CalculusFieldElement<T>>	An interface representing a scalar multivariate function.
interface	CalculusFieldMultivariateMatrixFunction<T extends CalculusFieldElement<T>>	An interface representing a matrix multivariate function.
interface	CalculusFieldMultivariateVectorFunction<T extends CalculusFieldElement<T>>	An interface representing a vector multivariate function.
interface	CalculusFieldUnivariateFunction<T extends CalculusFieldElement<T>>	An interface representing a univariate real function.
interface	CalculusFieldUnivariateMatrixFunction<T extends CalculusFieldElement<T>>	An interface representing a univariate matrix function.
interface	CalculusFieldUnivariateVectorFunction<T extends CalculusFieldElement<T>>	An interface representing a univariate vectorial function for any field type.

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

Modifier and Type	Method	Description
default <T extends CalculusFieldElement<T>> CalculusFieldBivariateFunction<T>	FieldBivariateFunction.toCalculusFieldBivariateFunction(Field<T> field)	Convert to a CalculusFieldBivariateFunction with a specific type.
default <T extends CalculusFieldElement<T>> CalculusFieldMultivariateFunction<T>	FieldMultivariateFunction.toCalculusFieldMultivariateFunction(Field<T> field)	Convert to a CalculusFieldMultivariateFunction with a specific type.
default <T extends CalculusFieldElement<T>> CalculusFieldMultivariateMatrixFunction<T>	FieldMultivariateMatrixFunction.toCalculusFieldMultivariateMatrixFunction(Field<T> field)	Convert to a CalculusFieldMultivariateMatrixFunction with a specific type.
default <T extends CalculusFieldElement<T>> CalculusFieldMultivariateVectorFunction<T>	FieldMultivariateVectorFunction.toCalculusFieldMultivariateVectorFunction(Field<T> field)	Convert to a CalculusFieldMultivariateVectorFunction with a specific type.
default <T extends CalculusFieldElement<T>> CalculusFieldUnivariateFunction<T>	FieldUnivariateFunction.toCalculusFieldUnivariateFunction(Field<T> field)	Convert to a CalculusFieldUnivariateFunction with a specific type.
default <T extends CalculusFieldElement<T>> CalculusFieldUnivariateMatrixFunction<T>	FieldUnivariateMatrixFunction.toCalculusFieldUnivariateMatrixFunction(Field<T> field)	Convert to a CalculusFieldUnivariateMatrixFunction with a specific type.
default <T extends CalculusFieldElement<T>> CalculusFieldUnivariateVectorFunction<T>	FieldUnivariateVectorFunction.toCalculusFieldUnivariateVectorFunction(Field<T> field)	Convert to a CalculusFieldUnivariateVectorFunction with a specific type.
<T extends CalculusFieldElement<T>> T	FieldBivariateFunction.value(T x, T y)	Compute the value for the function.
<T extends CalculusFieldElement<T>> T	FieldMultivariateFunction.value(T... x)	Compute the value of the function.
<T extends CalculusFieldElement<T>> T[][]	FieldMultivariateMatrixFunction.value(T... x)	Compute the value of the function.
<T extends CalculusFieldElement<T>> T[]	FieldMultivariateVectorFunction.value(T... x)	Compute the value of the function.
<T extends CalculusFieldElement<T>> T	FieldUnivariateFunction.value(T x)	Compute the value of the function.
<T extends CalculusFieldElement<T>> T[][]	FieldUnivariateMatrixFunction.value(T x)	Compute the value for the function.
<T extends CalculusFieldElement<T>> T[]	FieldUnivariateVectorFunction.value(T x)	Compute the value for the function.

Methods in org.hipparchus.analysis that return CalculusFieldElement

Modifier and Type	Method	Description
T[][]	CalculusFieldMultivariateMatrixFunction.value(T... x)	Compute the value of the function.
T[]	CalculusFieldMultivariateVectorFunction.value(T... x)	Compute the value of the function.
T[][]	CalculusFieldUnivariateMatrixFunction.value(T x)	Compute the value for the function.
T[]	CalculusFieldUnivariateVectorFunction.value(T x)	Compute the value for the function.
<T extends CalculusFieldElement<T>> T[][]	FieldMultivariateMatrixFunction.value(T... x)	Compute the value of the function.
<T extends CalculusFieldElement<T>> T[]	FieldMultivariateVectorFunction.value(T... x)	Compute the value of the function.
<T extends CalculusFieldElement<T>> T[][]	FieldUnivariateMatrixFunction.value(T x)	Compute the value for the function.
<T extends CalculusFieldElement<T>> T[]	FieldUnivariateVectorFunction.value(T x)	Compute the value for the function.

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

Modifier and Type	Method	Description
T	CalculusFieldMultivariateFunction.value(T... x)	Compute the value of the function.
T[][]	CalculusFieldMultivariateMatrixFunction.value(T... x)	Compute the value of the function.
T[]	CalculusFieldMultivariateVectorFunction.value(T... x)	Compute the value of the function.
<T extends CalculusFieldElement<T>> T	FieldMultivariateFunction.value(T... x)	Compute the value of the function.
<T extends CalculusFieldElement<T>> T[][]	FieldMultivariateMatrixFunction.value(T... x)	Compute the value of the function.
<T extends CalculusFieldElement<T>> T[]	FieldMultivariateVectorFunction.value(T... x)	Compute the value of the function.

Uses of CalculusFieldElement in org.hipparchus.analysis.differentiation

Classes in org.hipparchus.analysis.differentiation with type parameters of type CalculusFieldElement

Modifier and Type	Interface	Description
interface	Derivative<T extends CalculusFieldElement<T>>	Interface representing both the value and the differentials of a function.
interface	Derivative1<T extends CalculusFieldElement<T>>	Interface representing an object holding partial derivatives up to first order.
class	FDSFactory<T extends CalculusFieldElement<T>>	Factory for FieldDerivativeStructure.
static class	FDSFactory.DerivativeField<T extends CalculusFieldElement<T>>	Field for {link FieldDerivativeStructure} instances.
interface	FieldDerivative<S extends CalculusFieldElement<S>,T extends FieldDerivative<S,T>>	Interface representing both the value and the differentials of a function.
interface	FieldDerivative1<S extends CalculusFieldElement<S>,T extends FieldDerivative<S,T>>	Interface representing a Field object holding partial derivatives up to first order.
class	FieldDerivativeStructure<T extends CalculusFieldElement<T>>	Class representing both the value and the differentials of a function.
class	FieldGradient<T extends CalculusFieldElement<T>>	Class representing both the value and the differentials of a function.
class	FieldGradientField<T extends CalculusFieldElement<T>>	Field for Gradient instances.
class	FieldTaylorMap<T extends CalculusFieldElement<T>>	Container for a Taylor map.
class	FieldUnivariateDerivative<S extends CalculusFieldElement<S>,T extends FieldUnivariateDerivative<S,T>>	Abstract class representing both the value and the differentials of a function.
class	FieldUnivariateDerivative1<T extends CalculusFieldElement<T>>	Class representing both the value and the differentials of a function.
class	FieldUnivariateDerivative1Field<T extends CalculusFieldElement<T>>	Field for FieldUnivariateDerivative1 instances.
class	FieldUnivariateDerivative2<T extends CalculusFieldElement<T>>	Class representing both the value and the differentials of a function.
class	FieldUnivariateDerivative2Field<T extends CalculusFieldElement<T>>	Field for FieldUnivariateDerivative2 instances.

Subinterfaces of CalculusFieldElement in org.hipparchus.analysis.differentiation

Modifier and Type	Interface	Description
interface	Derivative<T extends CalculusFieldElement<T>>	Interface representing both the value and the differentials of a function.
interface	Derivative1<T extends CalculusFieldElement<T>>	Interface representing an object holding partial derivatives up to first order.
interface	FieldDerivative<S extends CalculusFieldElement<S>,T extends FieldDerivative<S,T>>	Interface representing both the value and the differentials of a function.
interface	FieldDerivative1<S extends CalculusFieldElement<S>,T extends FieldDerivative<S,T>>	Interface representing a Field object holding partial derivatives up to first order.

Classes in org.hipparchus.analysis.differentiation that implement CalculusFieldElement

Modifier and Type	Class	Description
class	DerivativeStructure	Class representing both the value and the differentials of a function.
class	FieldDerivativeStructure<T extends CalculusFieldElement<T>>	Class representing both the value and the differentials of a function.
class	FieldGradient<T extends CalculusFieldElement<T>>	Class representing both the value and the differentials of a function.
class	FieldUnivariateDerivative<S extends CalculusFieldElement<S>,T extends FieldUnivariateDerivative<S,T>>	Abstract class representing both the value and the differentials of a function.
class	FieldUnivariateDerivative1<T extends CalculusFieldElement<T>>	Class representing both the value and the differentials of a function.
class	FieldUnivariateDerivative2<T extends CalculusFieldElement<T>>	Class representing both the value and the differentials of a function.
class	Gradient	Class representing both the value and the differentials of a function.
class	SparseGradient	First derivative computation with large number of variables.
class	UnivariateDerivative<T extends UnivariateDerivative<T>>	Abstract class representing both the value and the differentials of a function.
class	UnivariateDerivative1	Class representing both the value and the differentials of a function.
class	UnivariateDerivative2	Class representing both the value and the differentials of a function.

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

Modifier and Type	Method	Description
<T extends CalculusFieldElement<T>> void	DSCompiler.acos(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute arc cosine of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.acosh(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute inverse hyperbolic cosine of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.add(T[] lhs, int lhsOffset, T[] rhs, int rhsOffset, T[] result, int resultOffset)	Perform addition of two derivative structures.
<T extends CalculusFieldElement<T>> void	DSCompiler.asin(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute arc sine of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.asinh(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute inverse hyperbolic sine of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.atan(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute arc tangent of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.atan2(T[] y, int yOffset, T[] x, int xOffset, T[] result, int resultOffset)	Compute two arguments arc tangent of a derivative structure.
static <T extends CalculusFieldElement<T>> FieldDerivativeStructure<T>	FieldDerivativeStructure.atan2(FieldDerivativeStructure<T> y, FieldDerivativeStructure<T> x)	Two arguments arc tangent operation.
<T extends CalculusFieldElement<T>> void	DSCompiler.atanh(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute inverse hyperbolic tangent of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.compose(T[] operand, int operandOffset, double[] f, T[] result, int resultOffset)	Compute composition of a derivative structure by a function.
<T extends CalculusFieldElement<T>> void	DSCompiler.compose(T[] operand, int operandOffset, T[] f, T[] result, int resultOffset)	Compute composition of a derivative structure by a function.
static <T extends CalculusFieldElement<T>> FieldGradient<T>	FieldGradient.constant(int freeParameters, T value)	Build an instance corresponding to a constant value.
<T extends CalculusFieldElement<T>> void	DSCompiler.cos(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute cosine of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.cosh(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute hyperbolic cosine of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.divide(T[] lhs, int lhsOffset, T[] rhs, int rhsOffset, T[] result, int resultOffset)	Perform division of two derivative structures.
<T extends CalculusFieldElement<T>> void	DSCompiler.exp(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute exponential of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.expm1(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute exp(x) - 1 of a derivative structure.
static <T extends CalculusFieldElement<T>> FieldGradientField<T>	FieldGradientField.getField(Field<T> valueField, int parameters)	Get the field for number of free parameters.
static <T extends CalculusFieldElement<T>> FieldUnivariateDerivative1Field<T>	FieldUnivariateDerivative1Field.getUnivariateDerivative1Field(Field<T> valueField)	Get the univariate derivative field corresponding to a value field.
static <T extends CalculusFieldElement<T>> FieldUnivariateDerivative2Field<T>	FieldUnivariateDerivative2Field.getUnivariateDerivative2Field(Field<T> valueField)	Get the univariate derivative field corresponding to a value field.
static <T extends CalculusFieldElement<T>> FieldDerivativeStructure<T>	FieldDerivativeStructure.hypot(FieldDerivativeStructure<T> x, FieldDerivativeStructure<T> y)	Returns the hypotenuse of a triangle with sides x and y - sqrt(x2 +y2) avoiding intermediate overflow or underflow.
<T extends CalculusFieldElement<T>> void	DSCompiler.linearCombination(double a1, T[] c1, int offset1, double a2, T[] c2, int offset2, double a3, T[] c3, int offset3, double a4, T[] c4, int offset4, T[] result, int resultOffset)	Compute linear combination.
<T extends CalculusFieldElement<T>> void	DSCompiler.linearCombination(double a1, T[] c1, int offset1, double a2, T[] c2, int offset2, double a3, T[] c3, int offset3, T[] result, int resultOffset)	Compute linear combination.
<T extends CalculusFieldElement<T>> void	DSCompiler.linearCombination(double a1, T[] c1, int offset1, double a2, T[] c2, int offset2, T[] result, int resultOffset)	Compute linear combination.
<T extends CalculusFieldElement<T>> void	DSCompiler.linearCombination(T a1, T[] c1, int offset1, T a2, T[] c2, int offset2, T[] result, int resultOffset)	Compute linear combination.
<T extends CalculusFieldElement<T>> void	DSCompiler.linearCombination(T a1, T[] c1, int offset1, T a2, T[] c2, int offset2, T a3, T[] c3, int offset3, T[] result, int resultOffset)	Compute linear combination.
<T extends CalculusFieldElement<T>> void	DSCompiler.linearCombination(T a1, T[] c1, int offset1, T a2, T[] c2, int offset2, T a3, T[] c3, int offset3, T a4, T[] c4, int offset4, T[] result, int resultOffset)	Compute linear combination.
<T extends CalculusFieldElement<T>> void	DSCompiler.log(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute natural logarithm of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.log10(T[] operand, int operandOffset, T[] result, int resultOffset)	Computes base 10 logarithm of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.log1p(T[] operand, int operandOffset, T[] result, int resultOffset)	Computes shifted logarithm of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.multiply(T[] lhs, int lhsOffset, T[] rhs, int rhsOffset, T[] result, int resultOffset)	Perform multiplication of two derivative structures.
<T extends CalculusFieldElement<T>> void	DSCompiler.pow(double a, T[] operand, int operandOffset, T[] result, int resultOffset)	Compute power of a double to a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.pow(T[] operand, int operandOffset, double p, T[] result, int resultOffset)	Compute power of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.pow(T[] operand, int operandOffset, int n, T[] result, int resultOffset)	Compute integer power of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.pow(T[] x, int xOffset, T[] y, int yOffset, T[] result, int resultOffset)	Compute power of a derivative structure.
static <T extends CalculusFieldElement<T>> FieldDerivativeStructure<T>	FieldDerivativeStructure.pow(double a, FieldDerivativeStructure<T> x)	Compute ax where a is a double and x a FieldDerivativeStructure
static <T extends CalculusFieldElement<T>> FieldGradient<T>	FieldGradient.pow(double a, FieldGradient<T> x)	Compute ax where a is a double and x a FieldGradient
static <T extends CalculusFieldElement<T>> FieldUnivariateDerivative1<T>	FieldUnivariateDerivative1.pow(double a, FieldUnivariateDerivative1<T> x)	Compute ax where a is a double and x a FieldUnivariateDerivative1
static <T extends CalculusFieldElement<T>> FieldUnivariateDerivative2<T>	FieldUnivariateDerivative2.pow(double a, FieldUnivariateDerivative2<T> x)	Compute ax where a is a double and x a FieldUnivariateDerivative2
<T extends CalculusFieldElement<T>> void	DSCompiler.rebase(T[] ds, int dsOffset, DSCompiler baseCompiler, T[] p, T[] result, int resultOffset)	Rebase derivative structure with respect to low level parameter functions.
<T extends CalculusFieldElement<T>> void	DSCompiler.reciprocal(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute reciprocal of derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.remainder(T[] lhs, int lhsOffset, T[] rhs, int rhsOffset, T[] result, int resultOffset)	Perform remainder of two derivative structures.
<T extends CalculusFieldElement<T>> void	DSCompiler.rootN(T[] operand, int operandOffset, int n, T[] result, int resultOffset)	Compute nth root of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.sin(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute sine of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.sinCos(T[] operand, int operandOffset, T[] sin, int sinOffset, T[] cos, int cosOffset)	Compute combined sine and cosine of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.sinh(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute hyperbolic sine of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.sinhCosh(T[] operand, int operandOffset, T[] sinh, int sinhOffset, T[] cosh, int coshOffset)	Compute combined hyperbolic sine and cosine of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.sqrt(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute square root of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.subtract(T[] lhs, int lhsOffset, T[] rhs, int rhsOffset, T[] result, int resultOffset)	Perform subtraction of two derivative structures.
<T extends CalculusFieldElement<T>> void	DSCompiler.tan(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute tangent of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.tanh(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute hyperbolic tangent of a derivative structure.
<T extends CalculusFieldElement<T>> T	DSCompiler.taylor(T[] ds, int dsOffset, double... delta)	Evaluate Taylor expansion of a derivative structure.
final <T extends CalculusFieldElement<T>> T	DSCompiler.taylor(T[] ds, int dsOffset, T... delta)	Evaluate Taylor expansion of a derivative structure.
static <T extends CalculusFieldElement<T>> FieldGradient<T>	FieldGradient.variable(int freeParameters, int index, T value)	Build a Gradient representing a variable.

Methods in org.hipparchus.analysis.differentiation that return CalculusFieldElement

Modifier and Type	Method	Description
T[]	FieldDerivativeStructure.getAllDerivatives()	Get all partial derivatives.
T[]	FieldGradient.getGradient()	Get the gradient part of the function.
T[]	FieldTaylorMap.getPoint()	Get the point at which map is evaluated.
T[]	FieldTaylorMap.value(double... deltaP)	Evaluate Taylor expansion of the map at some offset.
T[]	FieldTaylorMap.value(T... deltaP)	Evaluate Taylor expansion of the map at some offset.

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

Modifier and Type	Method	Description
<T extends CalculusFieldElement<T>> void	DSCompiler.acos(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute arc cosine of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.acosh(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute inverse hyperbolic cosine of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.add(T[] lhs, int lhsOffset, T[] rhs, int rhsOffset, T[] result, int resultOffset)	Perform addition of two derivative structures.
<T extends CalculusFieldElement<T>> void	DSCompiler.asin(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute arc sine of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.asinh(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute inverse hyperbolic sine of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.atan(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute arc tangent of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.atan2(T[] y, int yOffset, T[] x, int xOffset, T[] result, int resultOffset)	Compute two arguments arc tangent of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.atanh(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute inverse hyperbolic tangent of a derivative structure.
final FieldDerivativeStructure<T>	FDSFactory.build(T... derivatives)	Build a FieldDerivativeStructure from all its derivatives.
<T extends CalculusFieldElement<T>> void	DSCompiler.compose(T[] operand, int operandOffset, double[] f, T[] result, int resultOffset)	Compute composition of a derivative structure by a function.
<T extends CalculusFieldElement<T>> void	DSCompiler.compose(T[] operand, int operandOffset, T[] f, T[] result, int resultOffset)	Compute composition of a derivative structure by a function.
final FieldDerivativeStructure<T>	FieldDerivativeStructure.compose(T... f)	Compute composition of the instance by a univariate function.
<T extends CalculusFieldElement<T>> void	DSCompiler.cos(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute cosine of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.cosh(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute hyperbolic cosine of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.divide(T[] lhs, int lhsOffset, T[] rhs, int rhsOffset, T[] result, int resultOffset)	Perform division of two derivative structures.
<T extends CalculusFieldElement<T>> void	DSCompiler.exp(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute exponential of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.expm1(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute exp(x) - 1 of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.linearCombination(double a1, T[] c1, int offset1, double a2, T[] c2, int offset2, double a3, T[] c3, int offset3, double a4, T[] c4, int offset4, T[] result, int resultOffset)	Compute linear combination.
<T extends CalculusFieldElement<T>> void	DSCompiler.linearCombination(double a1, T[] c1, int offset1, double a2, T[] c2, int offset2, double a3, T[] c3, int offset3, T[] result, int resultOffset)	Compute linear combination.
<T extends CalculusFieldElement<T>> void	DSCompiler.linearCombination(double a1, T[] c1, int offset1, double a2, T[] c2, int offset2, T[] result, int resultOffset)	Compute linear combination.
<T extends CalculusFieldElement<T>> void	DSCompiler.linearCombination(T a1, T[] c1, int offset1, T a2, T[] c2, int offset2, T[] result, int resultOffset)	Compute linear combination.
<T extends CalculusFieldElement<T>> void	DSCompiler.linearCombination(T a1, T[] c1, int offset1, T a2, T[] c2, int offset2, T a3, T[] c3, int offset3, T[] result, int resultOffset)	Compute linear combination.
<T extends CalculusFieldElement<T>> void	DSCompiler.linearCombination(T a1, T[] c1, int offset1, T a2, T[] c2, int offset2, T a3, T[] c3, int offset3, T a4, T[] c4, int offset4, T[] result, int resultOffset)	Compute linear combination.
FieldDerivativeStructure<T>	FieldDerivativeStructure.linearCombination(T[] a, FieldDerivativeStructure<T>[] b)	Compute a linear combination.
FieldGradient<T>	FieldGradient.linearCombination(T[] a, FieldGradient<T>[] b)	Compute a linear combination.
FieldUnivariateDerivative1<T>	FieldUnivariateDerivative1.linearCombination(T[] a, FieldUnivariateDerivative1<T>[] b)	Compute a linear combination.
FieldUnivariateDerivative2<T>	FieldUnivariateDerivative2.linearCombination(T[] a, FieldUnivariateDerivative2<T>[] b)	Compute a linear combination.
<T extends CalculusFieldElement<T>> void	DSCompiler.log(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute natural logarithm of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.log10(T[] operand, int operandOffset, T[] result, int resultOffset)	Computes base 10 logarithm of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.log1p(T[] operand, int operandOffset, T[] result, int resultOffset)	Computes shifted logarithm of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.multiply(T[] lhs, int lhsOffset, T[] rhs, int rhsOffset, T[] result, int resultOffset)	Perform multiplication of two derivative structures.
<T extends CalculusFieldElement<T>> void	DSCompiler.pow(double a, T[] operand, int operandOffset, T[] result, int resultOffset)	Compute power of a double to a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.pow(T[] operand, int operandOffset, double p, T[] result, int resultOffset)	Compute power of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.pow(T[] operand, int operandOffset, int n, T[] result, int resultOffset)	Compute integer power of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.pow(T[] x, int xOffset, T[] y, int yOffset, T[] result, int resultOffset)	Compute power of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.rebase(T[] ds, int dsOffset, DSCompiler baseCompiler, T[] p, T[] result, int resultOffset)	Rebase derivative structure with respect to low level parameter functions.
<T extends CalculusFieldElement<T>> void	DSCompiler.reciprocal(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute reciprocal of derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.remainder(T[] lhs, int lhsOffset, T[] rhs, int rhsOffset, T[] result, int resultOffset)	Perform remainder of two derivative structures.
<T extends CalculusFieldElement<T>> void	DSCompiler.rootN(T[] operand, int operandOffset, int n, T[] result, int resultOffset)	Compute nth root of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.sin(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute sine of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.sinCos(T[] operand, int operandOffset, T[] sin, int sinOffset, T[] cos, int cosOffset)	Compute combined sine and cosine of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.sinh(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute hyperbolic sine of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.sinhCosh(T[] operand, int operandOffset, T[] sinh, int sinhOffset, T[] cosh, int coshOffset)	Compute combined hyperbolic sine and cosine of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.sqrt(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute square root of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.subtract(T[] lhs, int lhsOffset, T[] rhs, int rhsOffset, T[] result, int resultOffset)	Perform subtraction of two derivative structures.
<T extends CalculusFieldElement<T>> void	DSCompiler.tan(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute tangent of a derivative structure.
<T extends CalculusFieldElement<T>> void	DSCompiler.tanh(T[] operand, int operandOffset, T[] result, int resultOffset)	Compute hyperbolic tangent of a derivative structure.
<T extends CalculusFieldElement<T>> T	DSCompiler.taylor(T[] ds, int dsOffset, double... delta)	Evaluate Taylor expansion of a derivative structure.
final <T extends CalculusFieldElement<T>> T	DSCompiler.taylor(T[] ds, int dsOffset, T... delta)	Evaluate Taylor expansion of a derivative structure.
final T	FieldDerivativeStructure.taylor(T... delta)	Evaluate Taylor expansion of a derivative structure.
T	FieldGradient.taylor(T... delta)	Evaluate Taylor expansion of a gradient.
T[]	FieldTaylorMap.value(T... deltaP)	Evaluate Taylor expansion of the map at some offset.

Constructors in org.hipparchus.analysis.differentiation with parameters of type CalculusFieldElement

Modifier	Constructor	Description
	FieldGradient(T value, T... gradient)	Build an instance with values and derivative.
	FieldTaylorMap(T[] point, FieldDerivativeStructure<T>[] functions)	Simple constructor.

Uses of CalculusFieldElement in org.hipparchus.analysis.integration

Classes in org.hipparchus.analysis.integration with type parameters of type CalculusFieldElement

Modifier and Type	Class	Description
class	BaseAbstractFieldUnivariateIntegrator<T extends CalculusFieldElement<T>>	Provide a default implementation for several generic functions.
class	FieldMidPointIntegrator<T extends CalculusFieldElement<T>>	Implements the Midpoint Rule for integration of real univariate functions.
class	FieldRombergIntegrator<T extends CalculusFieldElement<T>>	Implements the Romberg Algorithm for integration of real univariate functions.
class	FieldSimpsonIntegrator<T extends CalculusFieldElement<T>>	Implements Simpson's Rule for integration of real univariate functions.
class	FieldTrapezoidIntegrator<T extends CalculusFieldElement<T>>	Implements the Trapezoid Rule for integration of real univariate functions.
interface	FieldUnivariateIntegrator<T extends CalculusFieldElement<T>>	Interface for univariate real integration algorithms.
class	IterativeLegendreFieldGaussIntegrator<T extends CalculusFieldElement<T>>	This algorithm divides the integration interval into equally-sized sub-interval and on each of them performs a Legendre-Gauss quadrature.

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

Classes in org.hipparchus.analysis.integration.gauss with type parameters of type CalculusFieldElement

Modifier and Type	Class	Description
class	FieldAbstractRuleFactory<T extends CalculusFieldElement<T>>	Base class for rules that determines the integration nodes and their weights.
class	FieldGaussIntegrator<T extends CalculusFieldElement<T>>	Class that implements the Gaussian rule for integrating a weighted function.
class	FieldGaussIntegratorFactory<T extends CalculusFieldElement<T>>	Class that provides different ways to compute the nodes and weights to be used by the Gaussian integration rule.
class	FieldHermiteRuleFactory<T extends CalculusFieldElement<T>>	Factory that creates a Gauss-type quadrature rule using Hermite polynomials of the first kind.
class	FieldLaguerreRuleFactory<T extends CalculusFieldElement<T>>	Factory that creates Gauss-type quadrature rule using Laguerre polynomials.
class	FieldLegendreRuleFactory<T extends CalculusFieldElement<T>>	Factory that creates Gauss-type quadrature rule using Legendre polynomials.
class	SymmetricFieldGaussIntegrator<T extends CalculusFieldElement<T>>	This class's implements integrate method assuming that the integral is symmetric about 0.

Methods in org.hipparchus.analysis.integration.gauss that return CalculusFieldElement

Modifier and Type	Method	Description
protected T[]	FieldAbstractRuleFactory.findRoots(int n, CalculusFieldUnivariateFunction<T> ratioEvaluator)	Computes roots of the associated orthogonal polynomials.

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

Modifier and Type	Method	Description
protected void	FieldAbstractRuleFactory.enforceSymmetry(T[] roots)	Enforce symmetry of roots.

Constructors in org.hipparchus.analysis.integration.gauss with parameters of type CalculusFieldElement

Modifier	Constructor	Description
	FieldGaussIntegrator(T[] points, T[] weights)	Creates an integrator from the given points and weights.
	SymmetricFieldGaussIntegrator(T[] points, T[] weights)	Creates an integrator from the given points and weights.

Uses of CalculusFieldElement in org.hipparchus.analysis.interpolation

Methods in org.hipparchus.analysis.interpolation with type parameters of type CalculusFieldElement

Modifier and Type	Method	Description
<T extends CalculusFieldElement<T>> FieldPolynomialSplineFunction<T>	AkimaSplineInterpolator.interpolate(T[] xvals, T[] yvals)	Computes an interpolating function for the data set.
<T extends CalculusFieldElement<T>> CalculusFieldUnivariateFunction<T>	FieldUnivariateInterpolator.interpolate(T[] xval, T[] yval)	Compute an interpolating function for the dataset.
<T extends CalculusFieldElement<T>> FieldPolynomialSplineFunction<T>	LinearInterpolator.interpolate(T[] x, T[] y)	Computes a linear interpolating function for the data set.
<T extends CalculusFieldElement<T>> FieldPolynomialSplineFunction<T>	SplineInterpolator.interpolate(T[] x, T[] y)	Computes an interpolating function for the data set.
<T extends CalculusFieldElement<T>> T	BilinearInterpolatingFunction.value(T x, T y)	Compute the value for the function.
<T extends CalculusFieldElement<T>> T	PiecewiseBicubicSplineInterpolatingFunction.value(T x, T y)	Compute the value for the function.

Methods in org.hipparchus.analysis.interpolation with parameters of type CalculusFieldElement

Modifier and Type	Method	Description
<T extends CalculusFieldElement<T>> FieldPolynomialSplineFunction<T>	AkimaSplineInterpolator.interpolate(T[] xvals, T[] yvals)	Computes an interpolating function for the data set.
<T extends CalculusFieldElement<T>> CalculusFieldUnivariateFunction<T>	FieldUnivariateInterpolator.interpolate(T[] xval, T[] yval)	Compute an interpolating function for the dataset.
<T extends CalculusFieldElement<T>> FieldPolynomialSplineFunction<T>	LinearInterpolator.interpolate(T[] x, T[] y)	Computes a linear interpolating function for the data set.
<T extends CalculusFieldElement<T>> FieldPolynomialSplineFunction<T>	SplineInterpolator.interpolate(T[] x, T[] y)	Computes an interpolating function for the data set.

Uses of CalculusFieldElement in org.hipparchus.analysis.polynomials

Classes in org.hipparchus.analysis.polynomials with type parameters of type CalculusFieldElement

Modifier and Type	Class	Description
class	FieldPolynomialFunction<T extends CalculusFieldElement<T>>	Immutable representation of a real polynomial function with real coefficients.
class	FieldPolynomialSplineFunction<T extends CalculusFieldElement<T>>	Represents a polynomial spline function.
static class	SmoothStepFactory.FieldSmoothStepFunction<T extends CalculusFieldElement<T>>	Smoothstep function as defined here.

Methods in org.hipparchus.analysis.polynomials with type parameters of type CalculusFieldElement

Modifier and Type	Method	Description
protected static <T extends CalculusFieldElement<T>> T[]	FieldPolynomialFunction.differentiate(T[] coefficients)	Returns the coefficients of the derivative of the polynomial with the given coefficients.
protected static <T extends CalculusFieldElement<T>> T	FieldPolynomialFunction.evaluate(T[] coefficients, T argument)	Uses Horner's Method to evaluate the polynomial with the given coefficients at the argument.
static <T extends CalculusFieldElement<T>> SmoothStepFactory.FieldSmoothStepFunction<T>	SmoothStepFactory.getClamp(Field<T> field)	Get the clamping smoothstep function.
static <T extends CalculusFieldElement<T>> SmoothStepFactory.FieldSmoothStepFunction<T>	SmoothStepFactory.getCubic(Field<T> field)	Get the cubic smoothstep function.
static <T extends CalculusFieldElement<T>> SmoothStepFactory.FieldSmoothStepFunction<T>	SmoothStepFactory.getFieldGeneralOrder(Field<T> field, int N)	Create a smoothstep function of order 2N + 1.
static <T extends CalculusFieldElement<T>> SmoothStepFactory.FieldSmoothStepFunction<T>	SmoothStepFactory.getQuadratic(Field<T> field)	Get the quadratic smoothstep function.
static <T extends CalculusFieldElement<T>> SmoothStepFactory.FieldSmoothStepFunction<T>	SmoothStepFactory.getQuintic(Field<T> field)	Get the quintic smoothstep function.
<T extends CalculusFieldElement<T>> T	PolynomialFunction.value(T t)	Compute the value of the function.
<T extends CalculusFieldElement<T>> T	PolynomialFunctionNewtonForm.value(T t)	Compute the value of the function.
<T extends CalculusFieldElement<T>> T	PolynomialSplineFunction.value(T t)	Compute the value of the function.

Methods in org.hipparchus.analysis.polynomials that return CalculusFieldElement

Modifier and Type	Method	Description
protected static <T extends CalculusFieldElement<T>> T[]	FieldPolynomialFunction.differentiate(T[] coefficients)	Returns the coefficients of the derivative of the polynomial with the given coefficients.
T[]	FieldPolynomialFunction.getCoefficients()	Returns a copy of the coefficients array.
T[]	FieldPolynomialSplineFunction.getKnots()	Get an array copy of the knot points.

Methods in org.hipparchus.analysis.polynomials with parameters of type CalculusFieldElement

Modifier and Type	Method	Description
protected static <T extends CalculusFieldElement<T>> T[]	FieldPolynomialFunction.differentiate(T[] coefficients)	Returns the coefficients of the derivative of the polynomial with the given coefficients.
protected static <T extends CalculusFieldElement<T>> T	FieldPolynomialFunction.evaluate(T[] coefficients, T argument)	Uses Horner's Method to evaluate the polynomial with the given coefficients at the argument.

Constructors in org.hipparchus.analysis.polynomials with parameters of type CalculusFieldElement

Modifier	Constructor	Description
	FieldPolynomialFunction(T[] c)	Construct a polynomial with the given coefficients.
	FieldPolynomialSplineFunction(T[] knots, FieldPolynomialFunction<T>[] polynomials)	Construct a polynomial spline function with the given segment delimiters and interpolating polynomials.

Uses of CalculusFieldElement in org.hipparchus.analysis.solvers

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

Modifier and Type	Interface	Description
interface	BracketedRealFieldUnivariateSolver<T extends CalculusFieldElement<T>>	Interface for (univariate real) root-finding algorithms that maintain a bracketed solution.
static class	BracketedRealFieldUnivariateSolver.Interval<T extends CalculusFieldElement<T>>	An interval of a function that brackets a root.
class	FieldBracketingNthOrderBrentSolver<T extends CalculusFieldElement<T>>	This class implements a modification of the Brent algorithm.

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

Modifier and Type	Method	Description
static <T extends CalculusFieldElement<T>> T[]	UnivariateSolverUtils.bracket(CalculusFieldUnivariateFunction<T> function, T initial, T lowerBound, T 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 <T extends CalculusFieldElement<T>> T[]	UnivariateSolverUtils.bracket(CalculusFieldUnivariateFunction<T> function, T initial, T lowerBound, T upperBound, int maximumIterations)	This method simply calls bracket(function, initial, lowerBound, upperBound, q, r, maximumIterations) with q and r set to 1.0.
static <T extends CalculusFieldElement<T>> T[]	UnivariateSolverUtils.bracket(CalculusFieldUnivariateFunction<T> function, T initial, T lowerBound, T upperBound, T q, T 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.

Methods in org.hipparchus.analysis.solvers that return CalculusFieldElement

Modifier and Type	Method	Description
static <T extends CalculusFieldElement<T>> T[]	UnivariateSolverUtils.bracket(CalculusFieldUnivariateFunction<T> function, T initial, T lowerBound, T 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 <T extends CalculusFieldElement<T>> T[]	UnivariateSolverUtils.bracket(CalculusFieldUnivariateFunction<T> function, T initial, T lowerBound, T upperBound, int maximumIterations)	This method simply calls bracket(function, initial, lowerBound, upperBound, q, r, maximumIterations) with q and r set to 1.0.
static <T extends CalculusFieldElement<T>> T[]	UnivariateSolverUtils.bracket(CalculusFieldUnivariateFunction<T> function, T initial, T lowerBound, T upperBound, T q, T 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.

Uses of CalculusFieldElement in org.hipparchus.complex

Classes in org.hipparchus.complex with type parameters of type CalculusFieldElement

Modifier and Type	Class	Description
class	FieldComplex<T extends CalculusFieldElement<T>>	Representation of a Complex number, i.e.
class	FieldComplexField<T extends CalculusFieldElement<T>>	Representation of the complex numbers field.
class	FieldComplexUnivariateIntegrator<T extends CalculusFieldElement<T>>	Wrapper to perform univariate complex integration using an underlying real integration algorithms.

Classes in org.hipparchus.complex that implement CalculusFieldElement

Modifier and Type	Class	Description
class	Complex	Representation of a Complex number, i.e.
class	FieldComplex<T extends CalculusFieldElement<T>>	Representation of a Complex number, i.e.

Methods in org.hipparchus.complex with type parameters of type CalculusFieldElement

Modifier and Type	Method	Description
static <T extends CalculusFieldElement<T>> boolean	FieldComplex.equals(FieldComplex<T> x, FieldComplex<T> y)	Returns true iff the values are equal as defined by equals(x, y, 1).
static <T extends CalculusFieldElement<T>> boolean	FieldComplex.equals(FieldComplex<T> x, FieldComplex<T> y, double eps)	Returns true if, both for the real part and for the imaginary part, there is no T value strictly between the arguments or the difference between them is within the range of allowed error (inclusive).
static <T extends CalculusFieldElement<T>> boolean	FieldComplex.equals(FieldComplex<T> x, FieldComplex<T> y, int maxUlps)	Test for the floating-point equality between Complex objects.
static <T extends CalculusFieldElement<T>> boolean	FieldComplex.equalsWithRelativeTolerance(FieldComplex<T> x, FieldComplex<T> y, double eps)	Returns true if, both for the real part and for the imaginary part, there is no T value strictly between the arguments or the relative difference between them is smaller or equal to the given tolerance.
static <T extends CalculusFieldElement<T>> FieldComplexField<T>	FieldComplexField.getField(Field<T> partsField)	Get the field for complex numbers.
static <T extends CalculusFieldElement<T>> FieldComplex<T>	FieldComplex.getI(Field<T> field)	Get the square root of -1.
static <T extends CalculusFieldElement<T>> FieldComplex<T>	FieldComplex.getInf(Field<T> field)	Get a complex number representing "+INF + INFi".
static <T extends CalculusFieldElement<T>> FieldComplex<T>	FieldComplex.getMinusI(Field<T> field)	Get the square root of -1.
static <T extends CalculusFieldElement<T>> FieldComplex<T>	FieldComplex.getMinusOne(Field<T> field)	Get a complex number representing "-1.0 + 0.0i".
static <T extends CalculusFieldElement<T>> FieldComplex<T>	FieldComplex.getNaN(Field<T> field)	Get a complex number representing "NaN + NaNi".
static <T extends CalculusFieldElement<T>> FieldComplex<T>	FieldComplex.getOne(Field<T> field)	Get a complex number representing "1.0 + 0.0i".
static <T extends CalculusFieldElement<T>> FieldComplex<T>	FieldComplex.getPi(Field<T> field)	Get a complex number representing "π + 0.0i".
static <T extends CalculusFieldElement<T>> FieldComplex<T>	FieldComplex.getZero(Field<T> field)	Get a complex number representing "0.0 + 0.0i".
static <T extends CalculusFieldElement<T>> FieldComplex<T>	ComplexUtils.polar2Complex(T r, T theta)	Creates a complex number from the given polar representation.
static <T extends CalculusFieldElement<T>> FieldComplex<T>	FieldComplex.valueOf(T realPart)	Create a complex number given only the real part.
static <T extends CalculusFieldElement<T>> FieldComplex<T>	FieldComplex.valueOf(T realPart, T imaginaryPart)	Create a complex number given the real and imaginary parts.

Uses of CalculusFieldElement in org.hipparchus.dfp

Classes in org.hipparchus.dfp that implement CalculusFieldElement

Modifier and Type	Class	Description
class	Dfp	Decimal floating point library for Java
class	DfpDec	Subclass of Dfp which hides the radix-10000 artifacts of the superclass.

Uses of CalculusFieldElement in org.hipparchus.geometry.euclidean.threed

Classes in org.hipparchus.geometry.euclidean.threed with type parameters of type CalculusFieldElement

Modifier and Type	Class	Description
class	FieldLine<T extends CalculusFieldElement<T>>	The class represent lines in a three dimensional space.
class	FieldRotation<T extends CalculusFieldElement<T>>	This class is a re-implementation of Rotation using CalculusFieldElement.
class	FieldVector3D<T extends CalculusFieldElement<T>>	This class is a re-implementation of Vector3D using CalculusFieldElement.

Methods in org.hipparchus.geometry.euclidean.threed with type parameters of type CalculusFieldElement

Modifier and Type	Method	Description
static <T extends CalculusFieldElement<T>> T	FieldVector3D.angle(FieldVector3D<T> v1, FieldVector3D<T> v2)	Compute the angular separation between two vectors.
static <T extends CalculusFieldElement<T>> T	FieldVector3D.angle(FieldVector3D<T> v1, Vector3D v2)	Compute the angular separation between two vectors.
static <T extends CalculusFieldElement<T>> T	FieldVector3D.angle(Vector3D v1, FieldVector3D<T> v2)	Compute the angular separation between two vectors.
static <T extends CalculusFieldElement<T>> FieldRotation<T>	FieldRotation.applyInverseTo(Rotation rOuter, FieldRotation<T> rInner)	Apply the inverse of a rotation to another rotation.
static <T extends CalculusFieldElement<T>> FieldVector3D<T>	FieldRotation.applyInverseTo(Rotation r, FieldVector3D<T> u)	Apply the inverse of a rotation to a vector.
static <T extends CalculusFieldElement<T>> FieldRotation<T>	FieldRotation.applyTo(Rotation r1, FieldRotation<T> rInner)	Apply a rotation to another rotation.
static <T extends CalculusFieldElement<T>> FieldVector3D<T>	FieldRotation.applyTo(Rotation r, FieldVector3D<T> u)	Apply a rotation to a vector.
static <T extends CalculusFieldElement<T>> FieldVector3D<T>	FieldVector3D.crossProduct(FieldVector3D<T> v1, FieldVector3D<T> v2)	Compute the cross-product of two vectors.
static <T extends CalculusFieldElement<T>> FieldVector3D<T>	FieldVector3D.crossProduct(FieldVector3D<T> v1, Vector3D v2)	Compute the cross-product of two vectors.
static <T extends CalculusFieldElement<T>> FieldVector3D<T>	FieldVector3D.crossProduct(Vector3D v1, FieldVector3D<T> v2)	Compute the cross-product of two vectors.
static <T extends CalculusFieldElement<T>> T	FieldRotation.distance(FieldRotation<T> r1, FieldRotation<T> r2)	Compute the distance between two rotations.
static <T extends CalculusFieldElement<T>> T	FieldVector3D.distance(FieldVector3D<T> v1, FieldVector3D<T> v2)	Compute the distance between two vectors according to the L2 norm.
static <T extends CalculusFieldElement<T>> T	FieldVector3D.distance(FieldVector3D<T> v1, Vector3D v2)	Compute the distance between two vectors according to the L2 norm.
static <T extends CalculusFieldElement<T>> T	FieldVector3D.distance(Vector3D v1, FieldVector3D<T> v2)	Compute the distance between two vectors according to the L2 norm.
static <T extends CalculusFieldElement<T>> T	FieldVector3D.distance1(FieldVector3D<T> v1, FieldVector3D<T> v2)	Compute the distance between two vectors according to the L1 norm.
static <T extends CalculusFieldElement<T>> T	FieldVector3D.distance1(FieldVector3D<T> v1, Vector3D v2)	Compute the distance between two vectors according to the L1 norm.
static <T extends CalculusFieldElement<T>> T	FieldVector3D.distance1(Vector3D v1, FieldVector3D<T> v2)	Compute the distance between two vectors according to the L1 norm.
static <T extends CalculusFieldElement<T>> T	FieldVector3D.distanceInf(FieldVector3D<T> v1, FieldVector3D<T> v2)	Compute the distance between two vectors according to the L∞ norm.
static <T extends CalculusFieldElement<T>> T	FieldVector3D.distanceInf(FieldVector3D<T> v1, Vector3D v2)	Compute the distance between two vectors according to the L∞ norm.
static <T extends CalculusFieldElement<T>> T	FieldVector3D.distanceInf(Vector3D v1, FieldVector3D<T> v2)	Compute the distance between two vectors according to the L∞ norm.
static <T extends CalculusFieldElement<T>> T	FieldVector3D.distanceSq(FieldVector3D<T> v1, FieldVector3D<T> v2)	Compute the square of the distance between two vectors.
static <T extends CalculusFieldElement<T>> T	FieldVector3D.distanceSq(FieldVector3D<T> v1, Vector3D v2)	Compute the square of the distance between two vectors.
static <T extends CalculusFieldElement<T>> T	FieldVector3D.distanceSq(Vector3D v1, FieldVector3D<T> v2)	Compute the square of the distance between two vectors.
static <T extends CalculusFieldElement<T>> T	FieldVector3D.dotProduct(FieldVector3D<T> v1, FieldVector3D<T> v2)	Compute the dot-product of two vectors.
static <T extends CalculusFieldElement<T>> T	FieldVector3D.dotProduct(FieldVector3D<T> v1, Vector3D v2)	Compute the dot-product of two vectors.
static <T extends CalculusFieldElement<T>> T	FieldVector3D.dotProduct(Vector3D v1, FieldVector3D<T> v2)	Compute the dot-product of two vectors.
<T extends CalculusFieldElement<T>> T[]	RotationOrder.getAngles(FieldRotation<T> rotation, RotationConvention convention)	Get the Cardan or Euler angles corresponding to the instance.
static <T extends CalculusFieldElement<T>> FieldRotation<T>	FieldRotation.getIdentity(Field<T> field)	Get identity rotation.
static <T extends CalculusFieldElement<T>> FieldVector3D<T>	FieldVector3D.getMinusI(Field<T> field)	Get opposite of the first canonical vector (coordinates: -1, 0, 0).
static <T extends CalculusFieldElement<T>> FieldVector3D<T>	FieldVector3D.getMinusJ(Field<T> field)	Get opposite of the second canonical vector (coordinates: 0, -1, 0).
static <T extends CalculusFieldElement<T>> FieldVector3D<T>	FieldVector3D.getMinusK(Field<T> field)	Get opposite of the third canonical vector (coordinates: 0, 0, -1).
static <T extends CalculusFieldElement<T>> FieldVector3D<T>	FieldVector3D.getNaN(Field<T> field)	Get a vector with all coordinates set to NaN.
static <T extends CalculusFieldElement<T>> FieldVector3D<T>	FieldVector3D.getNegativeInfinity(Field<T> field)	Get a vector with all coordinates set to negative infinity.
static <T extends CalculusFieldElement<T>> FieldVector3D<T>	FieldVector3D.getPlusI(Field<T> field)	Get first canonical vector (coordinates: 1, 0, 0).
static <T extends CalculusFieldElement<T>> FieldVector3D<T>	FieldVector3D.getPlusJ(Field<T> field)	Get second canonical vector (coordinates: 0, 1, 0).
static <T extends CalculusFieldElement<T>> FieldVector3D<T>	FieldVector3D.getPlusK(Field<T> field)	Get third canonical vector (coordinates: 0, 0, 1).
static <T extends CalculusFieldElement<T>> FieldVector3D<T>	FieldVector3D.getPositiveInfinity(Field<T> field)	Get a vector with all coordinates set to positive infinity.
static <T extends CalculusFieldElement<T>> FieldVector3D<T>	FieldVector3D.getZero(Field<T> field)	Get null vector (coordinates: 0, 0, 0).

Methods in org.hipparchus.geometry.euclidean.threed that return CalculusFieldElement

Modifier and Type	Method	Description
T[]	FieldRotation.getAngles(RotationOrder order, RotationConvention convention)	Get the Cardan or Euler angles corresponding to the instance.
<T extends CalculusFieldElement<T>> T[]	RotationOrder.getAngles(FieldRotation<T> rotation, RotationConvention convention)	Get the Cardan or Euler angles corresponding to the instance.
T[][]	FieldRotation.getMatrix()	Get the 3X3 matrix corresponding to the instance
T[]	FieldVector3D.toArray()	Get the vector coordinates as a dimension 3 array.

Methods in org.hipparchus.geometry.euclidean.threed with parameters of type CalculusFieldElement

Modifier and Type	Method	Description
void	FieldRotation.applyInverseTo(double[] in, T[] out)	Apply the inverse of the rotation to a vector stored in an array.
void	FieldRotation.applyInverseTo(T[] in, T[] out)	Apply the inverse of the rotation to a vector stored in an array.
void	FieldRotation.applyTo(double[] in, T[] out)	Apply the rotation to a vector stored in an array.
void	FieldRotation.applyTo(T[] in, T[] out)	Apply the rotation to a vector stored in an array.

Constructors in org.hipparchus.geometry.euclidean.threed with parameters of type CalculusFieldElement

Modifier	Constructor	Description
	FieldRotation(T[][] m, double threshold)	Build a rotation from a 3X3 matrix.
	FieldVector3D(T[] v)	Simple constructor.

Uses of CalculusFieldElement in org.hipparchus.geometry.euclidean.twod

Classes in org.hipparchus.geometry.euclidean.twod with type parameters of type CalculusFieldElement

Modifier and Type	Class	Description
class	FieldVector2D<T extends CalculusFieldElement<T>>	This class is a re-implementation of Vector2D using CalculusFieldElement.

Methods in org.hipparchus.geometry.euclidean.twod with type parameters of type CalculusFieldElement

Modifier and Type	Method	Description
static <T extends CalculusFieldElement<T>> T	FieldVector2D.angle(FieldVector2D<T> v1, FieldVector2D<T> v2)	Compute the angular separation between two vectors.
static <T extends CalculusFieldElement<T>> T	FieldVector2D.angle(FieldVector2D<T> v1, Vector2D v2)	Compute the angular separation between two vectors.
static <T extends CalculusFieldElement<T>> T	FieldVector2D.angle(Vector2D v1, FieldVector2D<T> v2)	Compute the angular separation between two vectors.
static <T extends CalculusFieldElement<T>> T	FieldVector2D.distance(FieldVector2D<T> p1, FieldVector2D<T> p2)	Compute the distance between two vectors according to the L2 norm.
static <T extends CalculusFieldElement<T>> T	FieldVector2D.distance(FieldVector2D<T> p1, Vector2D p2)	Compute the distance between two vectors according to the L2 norm.
static <T extends CalculusFieldElement<T>> T	FieldVector2D.distance(Vector2D p1, FieldVector2D<T> p2)	Compute the distance between two vectors according to the L2 norm.
static <T extends CalculusFieldElement<T>> T	FieldVector2D.distance1(FieldVector2D<T> p1, FieldVector2D<T> p2)	Compute the distance between two vectors according to the L2 norm.
static <T extends CalculusFieldElement<T>> T	FieldVector2D.distance1(FieldVector2D<T> p1, Vector2D p2)	Compute the distance between two vectors according to the L2 norm.
static <T extends CalculusFieldElement<T>> T	FieldVector2D.distance1(Vector2D p1, FieldVector2D<T> p2)	Compute the distance between two vectors according to the L2 norm.
static <T extends CalculusFieldElement<T>> T	FieldVector2D.distanceInf(FieldVector2D<T> p1, FieldVector2D<T> p2)	Compute the distance between two vectors according to the L∞ norm.
static <T extends CalculusFieldElement<T>> T	FieldVector2D.distanceInf(FieldVector2D<T> p1, Vector2D p2)	Compute the distance between two vectors according to the L∞ norm.
static <T extends CalculusFieldElement<T>> T	FieldVector2D.distanceInf(Vector2D p1, FieldVector2D<T> p2)	Compute the distance between two vectors according to the L∞ norm.
static <T extends CalculusFieldElement<T>> T	FieldVector2D.distanceSq(FieldVector2D<T> p1, FieldVector2D<T> p2)	Compute the square of the distance between two vectors.
static <T extends CalculusFieldElement<T>> T	FieldVector2D.distanceSq(FieldVector2D<T> p1, Vector2D p2)	Compute the square of the distance between two vectors.
static <T extends CalculusFieldElement<T>> T	FieldVector2D.distanceSq(Vector2D p1, FieldVector2D<T> p2)	Compute the square of the distance between two vectors.
static <T extends CalculusFieldElement<T>> FieldVector2D<T>	FieldVector2D.getMinusI(Field<T> field)	Get opposite of the first canonical vector (coordinates: -1).
static <T extends CalculusFieldElement<T>> FieldVector2D<T>	FieldVector2D.getMinusJ(Field<T> field)	Get opposite of the second canonical vector (coordinates: 0, -1).
static <T extends CalculusFieldElement<T>> FieldVector2D<T>	FieldVector2D.getNaN(Field<T> field)	Get a vector with all coordinates set to NaN.
static <T extends CalculusFieldElement<T>> FieldVector2D<T>	FieldVector2D.getNegativeInfinity(Field<T> field)	Get a vector with all coordinates set to negative infinity.
static <T extends CalculusFieldElement<T>> FieldVector2D<T>	FieldVector2D.getPlusI(Field<T> field)	Get first canonical vector (coordinates: 1, 0).
static <T extends CalculusFieldElement<T>> FieldVector2D<T>	FieldVector2D.getPlusJ(Field<T> field)	Get second canonical vector (coordinates: 0, 1).
static <T extends CalculusFieldElement<T>> FieldVector2D<T>	FieldVector2D.getPositiveInfinity(Field<T> field)	Get a vector with all coordinates set to positive infinity.
static <T extends CalculusFieldElement<T>> FieldVector2D<T>	FieldVector2D.getZero(Field<T> field)	Get null vector (coordinates: 0, 0).
static <T extends CalculusFieldElement<T>> T	FieldVector2D.orientation(FieldVector2D<T> p, FieldVector2D<T> q, FieldVector2D<T> r)	Compute the orientation of a triplet of points.

Methods in org.hipparchus.geometry.euclidean.twod that return CalculusFieldElement

Modifier and Type	Method	Description
T[]	FieldVector2D.toArray()	Get the vector coordinates as a dimension 2 array.

Constructors in org.hipparchus.geometry.euclidean.twod with parameters of type CalculusFieldElement

Modifier	Constructor	Description
	FieldVector2D(T[] v)	Simple constructor.

Uses of CalculusFieldElement in org.hipparchus.linear

Classes in org.hipparchus.linear with type parameters of type CalculusFieldElement

Modifier and Type	Class	Description
class	FieldQRDecomposer<T extends CalculusFieldElement<T>>	Matrix decomposer using QR-decomposition.
class	FieldQRDecomposition<T extends CalculusFieldElement<T>>	Calculates the QR-decomposition of a field matrix.

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

Modifier and Type	Method	Description
abstract <T extends CalculusFieldElement<T>> int	DependentVectorsHandler.manageDependent(Field<T> field, int index, List<FieldVector<T>> basis)	Manage a dependent vector.
static <T extends CalculusFieldElement<T>> List<FieldVector<T>>	MatrixUtils.orthonormalize(Field<T> field, List<FieldVector<T>> independent, T threshold, DependentVectorsHandler handler)	Orthonormalize a list of vectors.

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

Modifier and Type	Method	Description
protected void	FieldQRDecomposition.decompose(T[][] matrix)	Decompose matrix.
protected void	FieldQRDecomposition.performHouseholderReflection(int minor, T[][] matrix)	Perform Householder reflection for a minor A(minor, minor) of A.

Uses of CalculusFieldElement in org.hipparchus.ode

Classes in org.hipparchus.ode with type parameters of type CalculusFieldElement

Modifier and Type	Class	Description
class	AbstractFieldIntegrator<T extends CalculusFieldElement<T>>	Base class managing common boilerplate for all integrators.
class	FieldDenseOutputModel<T extends CalculusFieldElement<T>>	This class stores all information provided by an ODE integrator during the integration process and build a continuous model of the solution from this.
class	FieldEquationsMapper<T extends CalculusFieldElement<T>>	Class mapping the part of a complete state or derivative that pertains to a set of differential equations.
class	FieldExpandableODE<T extends CalculusFieldElement<T>>	This class represents a combined set of first order differential equations, with at least a primary set of equations expandable by some sets of secondary equations.
interface	FieldODEIntegrator<T extends CalculusFieldElement<T>>	This interface represents a first order integrator for differential equations.
class	FieldODEState<T extends CalculusFieldElement<T>>	Container for time, main and secondary state vectors.
class	FieldODEStateAndDerivative<T extends CalculusFieldElement<T>>	Container for time, main and secondary state vectors as well as their derivatives.
interface	FieldOrdinaryDifferentialEquation<T extends CalculusFieldElement<T>>	This interface represents a first order differential equations set.
interface	FieldSecondaryODE<T extends CalculusFieldElement<T>>	This interface allows users to add secondary differential equations to a primary set of differential equations.
class	MultistepFieldIntegrator<T extends CalculusFieldElement<T>>	This class is the base class for multistep integrators for Ordinary Differential Equations.

Fields in org.hipparchus.ode declared as CalculusFieldElement

Modifier and Type	Field	Description
protected T[]	MultistepFieldIntegrator.scaled	First scaled derivative (h y').

Methods in org.hipparchus.ode that return CalculusFieldElement

Modifier and Type	Method	Description
T[]	AbstractFieldIntegrator.computeDerivatives(T t, T[] y)	Compute the derivatives and check the number of evaluations.
T[]	FieldExpandableODE.computeDerivatives(T t, T[] y)	Get the current time derivative of the complete state vector.
T[]	FieldOrdinaryDifferentialEquation.computeDerivatives(T t, T[] y)	Get the current time derivative of the state vector.
T[]	FieldSecondaryODE.computeDerivatives(T t, T[] primary, T[] primaryDot, T[] secondary)	Compute the derivatives related to the secondary state parameters.
protected T[][]	FieldODEState.copy(T[][] original)	Copy a two-dimensions array.
T[]	FieldEquationsMapper.extractEquationData(int index, T[] complete)	Extract equation data from a complete state or derivative array.
T[]	FieldODEStateAndDerivative.getCompleteDerivative()	Get complete derivative at time.
T[]	FieldODEState.getCompleteState()	Get complete state at time.
T[]	FieldODEStateAndDerivative.getPrimaryDerivative()	Get derivative of the primary state at time.
T[]	FieldODEState.getPrimaryState()	Get primary state at time.
T[]	FieldODEStateAndDerivative.getSecondaryDerivative(int index)	Get derivative of the secondary state at time.
T[]	FieldODEState.getSecondaryState(int index)	Get secondary state at time.

Methods in org.hipparchus.ode with parameters of type CalculusFieldElement

Modifier and Type	Method	Description
T[]	AbstractFieldIntegrator.computeDerivatives(T t, T[] y)	Compute the derivatives and check the number of evaluations.
T[]	FieldExpandableODE.computeDerivatives(T t, T[] y)	Get the current time derivative of the complete state vector.
T[]	FieldOrdinaryDifferentialEquation.computeDerivatives(T t, T[] y)	Get the current time derivative of the state vector.
T[]	FieldSecondaryODE.computeDerivatives(T t, T[] primary, T[] primaryDot, T[] secondary)	Compute the derivatives related to the secondary state parameters.
protected T[][]	FieldODEState.copy(T[][] original)	Copy a two-dimensions array.
T[]	FieldEquationsMapper.extractEquationData(int index, T[] complete)	Extract equation data from a complete state or derivative array.
default void	FieldOrdinaryDifferentialEquation.init(T t0, T[] y0, T finalTime)	Initialize equations at the start of an ODE integration.
default void	FieldSecondaryODE.init(T t0, T[] primary0, T[] secondary0, T finalTime)	Initialize equations at the start of an ODE integration.
protected abstract Array2DRowFieldMatrix<T>	MultistepFieldIntegrator.initializeHighOrderDerivatives(T h, T[] t, T[][] y, T[][] yDot)	Initialize the high order scaled derivatives at step start.
void	FieldEquationsMapper.insertEquationData(int index, T[] equationData, T[] complete)	Insert equation data into a complete state or derivative array.
FieldODEStateAndDerivative<T>	FieldEquationsMapper.mapStateAndDerivative(T t, T[] y, T[] yDot)	Map flat arrays to a state and derivative.

Constructors in org.hipparchus.ode with parameters of type CalculusFieldElement

Modifier	Constructor	Description
	FieldODEState(T time, T[] primaryState)	Simple constructor.
	FieldODEState(T time, T[] primaryState, T[][] secondaryState)	Simple constructor.
	FieldODEStateAndDerivative(T time, T[] primaryState, T[] primaryDerivative)	Simple constructor.
	FieldODEStateAndDerivative(T time, T[] primaryState, T[] primaryDerivative, T[][] secondaryState, T[][] secondaryDerivative)	Simple constructor.

Uses of CalculusFieldElement in org.hipparchus.ode.events

Classes in org.hipparchus.ode.events with type parameters of type CalculusFieldElement

Modifier and Type	Class	Description
class	AbstractFieldODEDetector<T extends AbstractFieldODEDetector<T,E>,E extends CalculusFieldElement<E>>	Base class for #@link FieldODEEventDetector.
interface	FieldAdaptableInterval<T extends CalculusFieldElement<T>>	This interface represents an event checking interval that depends on state.
class	FieldDetectorBasedEventState<T extends CalculusFieldElement<T>>	This class handles the state for one event handler during integration steps.
class	FieldEventOccurrence<T extends CalculusFieldElement<T>>	Class to hold the data related to an event occurrence that is needed to decide how to modify integration.
class	FieldEventSlopeFilter<T extends FieldODEEventDetector<E>,E extends CalculusFieldElement<E>>	Wrapper used to detect only increasing or decreasing events.
interface	FieldEventState<T extends CalculusFieldElement<T>>	This interface handles the state for either one event handler or one step end handler during integration steps.
interface	FieldODEEventDetector<T extends CalculusFieldElement<T>>	This interface represents a handler for discrete events triggered during ODE integration.
interface	FieldODEEventHandler<T extends CalculusFieldElement<T>>	This interface represents a handler for discrete events triggered during ODE integration.
interface	FieldODEStepEndHandler<T extends CalculusFieldElement<T>>	This interface represents a handler for discrete events triggered during ODE integration at each step end.
class	FieldStepEndEventState<T extends CalculusFieldElement<T>>	This class handles the state for one event handler that triggers at step end.

Uses of CalculusFieldElement in org.hipparchus.ode.nonstiff

Classes in org.hipparchus.ode.nonstiff with type parameters of type CalculusFieldElement

Modifier and Type	Class	Description
class	AdamsBashforthFieldIntegrator<T extends CalculusFieldElement<T>>	This class implements explicit Adams-Bashforth integrators for Ordinary Differential Equations.
class	AdamsFieldIntegrator<T extends CalculusFieldElement<T>>	Base class for Adams-Bashforth and Adams-Moulton integrators.
class	AdamsMoultonFieldIntegrator<T extends CalculusFieldElement<T>>	This class implements implicit Adams-Moulton integrators for Ordinary Differential Equations.
class	AdamsNordsieckFieldTransformer<T extends CalculusFieldElement<T>>	Transformer to Nordsieck vectors for Adams integrators.
class	AdaptiveStepsizeFieldIntegrator<T extends CalculusFieldElement<T>>	This abstract class holds the common part of all adaptive stepsize integrators for Ordinary Differential Equations.
class	ClassicalRungeKuttaFieldIntegrator<T extends CalculusFieldElement<T>>	This class implements the classical fourth order Runge-Kutta integrator for Ordinary Differential Equations (it is the most often used Runge-Kutta method).
class	DormandPrince54FieldIntegrator<T extends CalculusFieldElement<T>>	This class implements the 5(4) Dormand-Prince integrator for Ordinary Differential Equations.
class	DormandPrince853FieldIntegrator<T extends CalculusFieldElement<T>>	This class implements the 8(5,3) Dormand-Prince integrator for Ordinary Differential Equations.
class	EmbeddedRungeKuttaFieldIntegrator<T extends CalculusFieldElement<T>>	This class implements the common part of all embedded Runge-Kutta integrators for Ordinary Differential Equations.
class	EulerFieldIntegrator<T extends CalculusFieldElement<T>>	This class implements a simple Euler integrator for Ordinary Differential Equations.
interface	FieldButcherArrayProvider<T extends CalculusFieldElement<T>>	This interface represents an integrator based on Butcher arrays.
interface	FieldExplicitRungeKuttaIntegrator<T extends CalculusFieldElement<T>>	This interface implements the part of Runge-Kutta Field integrators for Ordinary Differential Equations common to fixed- and adaptive steps.
class	GillFieldIntegrator<T extends CalculusFieldElement<T>>	This class implements the Gill fourth order Runge-Kutta integrator for Ordinary Differential Equations .
class	HighamHall54FieldIntegrator<T extends CalculusFieldElement<T>>	This class implements the 5(4) Higham and Hall integrator for Ordinary Differential Equations.
class	LutherFieldIntegrator<T extends CalculusFieldElement<T>>	This class implements the Luther sixth order Runge-Kutta integrator for Ordinary Differential Equations.
class	MidpointFieldIntegrator<T extends CalculusFieldElement<T>>	This class implements a second order Runge-Kutta integrator for Ordinary Differential Equations.
class	RungeKuttaFieldIntegrator<T extends CalculusFieldElement<T>>	This class implements the common part of all fixed step Runge-Kutta integrators for Ordinary Differential Equations.
class	ThreeEighthesFieldIntegrator<T extends CalculusFieldElement<T>>	This class implements the 3/8 fourth order Runge-Kutta integrator for Ordinary Differential Equations.

Methods in org.hipparchus.ode.nonstiff with type parameters of type CalculusFieldElement

Modifier and Type	Method	Description
static <T extends CalculusFieldElement<T>> T[]	FieldExplicitRungeKuttaIntegrator.applyExternalButcherWeights(T[] y0, T[][] yDotK, T h, double[] b)	Apply external weights of Butcher array, assuming internal ones have been applied.
static <T extends CalculusFieldElement<T>> T[]	FieldExplicitRungeKuttaIntegrator.applyExternalButcherWeights(T[] y0, T[][] yDotK, T h, T[] b)	Apply external weights of Butcher array, assuming internal ones have been applied.
static <T extends CalculusFieldElement<T>> void	FieldExplicitRungeKuttaIntegrator.applyInternalButcherWeights(FieldExpandableODE<T> equations, T t0, T[] y0, T h, double[][] a, double[] c, T[][] yDotK)	Apply internal weights of Butcher array, with corresponding times.
static <T extends CalculusFieldElement<T>> void	FieldExplicitRungeKuttaIntegrator.applyInternalButcherWeights(FieldExpandableODE<T> equations, T t0, T[] y0, T h, T[][] a, T[] c, T[][] yDotK)	Apply internal weights of Butcher array, with corresponding times.
<T extends CalculusFieldElement<T>> T	StepsizeHelper.filterStep(T h, boolean forward, boolean acceptSmall)	Filter the integration step.
static <T extends CalculusFieldElement<T>> T	FieldExplicitRungeKuttaIntegrator.fraction(Field<T> field, double p, double q)	Create a fraction from doubles.
static <T extends CalculusFieldElement<T>> T	FieldExplicitRungeKuttaIntegrator.fraction(Field<T> field, int p, int q)	Create a fraction from integers.
static <T extends CalculusFieldElement<T>> AdamsNordsieckFieldTransformer<T>	AdamsNordsieckFieldTransformer.getInstance(Field<T> field, int nSteps)	Get the Nordsieck transformer for a given field and number of steps.
<T extends CalculusFieldElement<T>> T	StepsizeHelper.getTolerance(int i, T scale)	Get the tolerance for one component.

Methods in org.hipparchus.ode.nonstiff that return CalculusFieldElement

Modifier and Type	Method	Description
static <T extends CalculusFieldElement<T>> T[]	FieldExplicitRungeKuttaIntegrator.applyExternalButcherWeights(T[] y0, T[][] yDotK, T h, double[] b)	Apply external weights of Butcher array, assuming internal ones have been applied.
static <T extends CalculusFieldElement<T>> T[]	FieldExplicitRungeKuttaIntegrator.applyExternalButcherWeights(T[] y0, T[][] yDotK, T h, T[] b)	Apply external weights of Butcher array, assuming internal ones have been applied.
T[][]	ClassicalRungeKuttaFieldIntegrator.getA()	Get the internal weights from Butcher array (without the first empty row).
T[][]	DormandPrince54FieldIntegrator.getA()	Get the internal weights from Butcher array (without the first empty row).
T[][]	DormandPrince853FieldIntegrator.getA()	Get the internal weights from Butcher array (without the first empty row).
T[][]	EulerFieldIntegrator.getA()	Get the internal weights from Butcher array (without the first empty row).
T[][]	FieldButcherArrayProvider.getA()	Get the internal weights from Butcher array (without the first empty row).
T[][]	GillFieldIntegrator.getA()	Get the internal weights from Butcher array (without the first empty row).
T[][]	HighamHall54FieldIntegrator.getA()	Get the internal weights from Butcher array (without the first empty row).
T[][]	LutherFieldIntegrator.getA()	Get the internal weights from Butcher array (without the first empty row).
T[][]	MidpointFieldIntegrator.getA()	Get the internal weights from Butcher array (without the first empty row).
T[][]	ThreeEighthesFieldIntegrator.getA()	Get the internal weights from Butcher array (without the first empty row).
T[]	ClassicalRungeKuttaFieldIntegrator.getB()	Get the external weights for the high order method from Butcher array.
T[]	DormandPrince54FieldIntegrator.getB()	Get the external weights for the high order method from Butcher array.
T[]	DormandPrince853FieldIntegrator.getB()	Get the external weights for the high order method from Butcher array.
T[]	EulerFieldIntegrator.getB()	Get the external weights for the high order method from Butcher array.
T[]	FieldButcherArrayProvider.getB()	Get the external weights for the high order method from Butcher array.
T[]	GillFieldIntegrator.getB()	Get the external weights for the high order method from Butcher array.
T[]	HighamHall54FieldIntegrator.getB()	Get the external weights for the high order method from Butcher array.
T[]	LutherFieldIntegrator.getB()	Get the external weights for the high order method from Butcher array.
T[]	MidpointFieldIntegrator.getB()	Get the external weights for the high order method from Butcher array.
T[]	ThreeEighthesFieldIntegrator.getB()	Get the external weights for the high order method from Butcher array.
T[]	ClassicalRungeKuttaFieldIntegrator.getC()	Get the time steps from Butcher array (without the first zero).
T[]	DormandPrince54FieldIntegrator.getC()	Get the time steps from Butcher array (without the first zero).
T[]	DormandPrince853FieldIntegrator.getC()	Get the time steps from Butcher array (without the first zero).
T[]	EulerFieldIntegrator.getC()	Get the time steps from Butcher array (without the first zero).
T[]	FieldButcherArrayProvider.getC()	Get the time steps from Butcher array (without the first zero).
T[]	GillFieldIntegrator.getC()	Get the time steps from Butcher array (without the first zero).
T[]	HighamHall54FieldIntegrator.getC()	Get the time steps from Butcher array (without the first zero).
T[]	LutherFieldIntegrator.getC()	Get the time steps from Butcher array (without the first zero).
T[]	MidpointFieldIntegrator.getC()	Get the time steps from Butcher array (without the first zero).
T[]	ThreeEighthesFieldIntegrator.getC()	Get the time steps from Butcher array (without the first zero).
default T[]	FieldExplicitRungeKuttaIntegrator.singleStep(FieldOrdinaryDifferentialEquation<T> equations, T t0, T[] y0, T t)	Fast computation of a single step of ODE integration.

Methods in org.hipparchus.ode.nonstiff with parameters of type CalculusFieldElement

Modifier and Type	Method	Description
static <T extends CalculusFieldElement<T>> T[]	FieldExplicitRungeKuttaIntegrator.applyExternalButcherWeights(T[] y0, T[][] yDotK, T h, double[] b)	Apply external weights of Butcher array, assuming internal ones have been applied.
static <T extends CalculusFieldElement<T>> T[]	FieldExplicitRungeKuttaIntegrator.applyExternalButcherWeights(T[] y0, T[][] yDotK, T h, T[] b)	Apply external weights of Butcher array, assuming internal ones have been applied.
static <T extends CalculusFieldElement<T>> void	FieldExplicitRungeKuttaIntegrator.applyInternalButcherWeights(FieldExpandableODE<T> equations, T t0, T[] y0, T h, double[][] a, double[] c, T[][] yDotK)	Apply internal weights of Butcher array, with corresponding times.
static <T extends CalculusFieldElement<T>> void	FieldExplicitRungeKuttaIntegrator.applyInternalButcherWeights(FieldExpandableODE<T> equations, T t0, T[] y0, T h, T[][] a, T[] c, T[][] yDotK)	Apply internal weights of Butcher array, with corresponding times.
protected org.hipparchus.ode.nonstiff.ClassicalRungeKuttaFieldStateInterpolator<T>	ClassicalRungeKuttaFieldIntegrator.createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)	Create an interpolator.
protected org.hipparchus.ode.nonstiff.DormandPrince54FieldStateInterpolator<T>	DormandPrince54FieldIntegrator.createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)	Create an interpolator.
protected org.hipparchus.ode.nonstiff.DormandPrince853FieldStateInterpolator<T>	DormandPrince853FieldIntegrator.createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)	Create an interpolator.
protected abstract org.hipparchus.ode.nonstiff.RungeKuttaFieldStateInterpolator<T>	EmbeddedRungeKuttaFieldIntegrator.createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)	Create an interpolator.
protected org.hipparchus.ode.nonstiff.EulerFieldStateInterpolator<T>	EulerFieldIntegrator.createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)	Create an interpolator.
protected org.hipparchus.ode.nonstiff.GillFieldStateInterpolator<T>	GillFieldIntegrator.createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)	Create an interpolator.
protected org.hipparchus.ode.nonstiff.HighamHall54FieldStateInterpolator<T>	HighamHall54FieldIntegrator.createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)	Create an interpolator.
protected org.hipparchus.ode.nonstiff.LutherFieldStateInterpolator<T>	LutherFieldIntegrator.createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)	Create an interpolator.
protected org.hipparchus.ode.nonstiff.MidpointFieldStateInterpolator<T>	MidpointFieldIntegrator.createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)	Create an interpolator.
protected abstract org.hipparchus.ode.nonstiff.RungeKuttaFieldStateInterpolator<T>	RungeKuttaFieldIntegrator.createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)	Create an interpolator.
protected org.hipparchus.ode.nonstiff.ThreeEighthesFieldStateInterpolator<T>	ThreeEighthesFieldIntegrator.createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)	Create an interpolator.
protected double	AdamsBashforthFieldIntegrator.errorEstimation(T[] previousState, T predictedTime, T[] predictedState, T[] predictedScaled, FieldMatrix<T> predictedNordsieck)	Estimate error.
protected abstract double	AdamsFieldIntegrator.errorEstimation(T[] previousState, T predictedTime, T[] predictedState, T[] predictedScaled, FieldMatrix<T> predictedNordsieck)	Estimate error.
protected double	AdamsMoultonFieldIntegrator.errorEstimation(T[] previousState, T predictedTime, T[] predictedState, T[] predictedScaled, FieldMatrix<T> predictedNordsieck)	Estimate error.
protected double	DormandPrince54FieldIntegrator.estimateError(T[][] yDotK, T[] y0, T[] y1, T h)	Compute the error ratio.
protected double	DormandPrince853FieldIntegrator.estimateError(T[][] yDotK, T[] y0, T[] y1, T h)	Compute the error ratio.
protected abstract double	EmbeddedRungeKuttaFieldIntegrator.estimateError(T[][] yDotK, T[] y0, T[] y1, T h)	Compute the error ratio.
protected double	HighamHall54FieldIntegrator.estimateError(T[][] yDotK, T[] y0, T[] y1, T h)	Compute the error ratio.
protected org.hipparchus.ode.nonstiff.AdamsFieldStateInterpolator<T>	AdamsBashforthFieldIntegrator.finalizeStep(T stepSize, T[] predictedY, T[] predictedScaled, Array2DRowFieldMatrix<T> predictedNordsieck, boolean isForward, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> equationsMapper)	Finalize the step.
protected abstract org.hipparchus.ode.nonstiff.AdamsFieldStateInterpolator<T>	AdamsFieldIntegrator.finalizeStep(T stepSize, T[] predictedState, T[] predictedScaled, Array2DRowFieldMatrix<T> predictedNordsieck, boolean isForward, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> equationsMapper)	Finalize the step.
protected org.hipparchus.ode.nonstiff.AdamsFieldStateInterpolator<T>	AdamsMoultonFieldIntegrator.finalizeStep(T stepSize, T[] predictedY, T[] predictedScaled, Array2DRowFieldMatrix<T> predictedNordsieck, boolean isForward, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> equationsMapper)	Finalize the step.
protected Array2DRowFieldMatrix<T>	AdamsFieldIntegrator.initializeHighOrderDerivatives(T h, T[] t, T[][] y, T[][] yDot)	Initialize the high order scaled derivatives at step start.
Array2DRowFieldMatrix<T>	AdamsNordsieckFieldTransformer.initializeHighOrderDerivatives(T h, T[] t, T[][] y, T[][] yDot)	Initialize the high order scaled derivatives at step start.
double	AdaptiveStepsizeFieldIntegrator.initializeStep(boolean forward, int order, T[] scale, FieldODEStateAndDerivative<T> state0, FieldEquationsMapper<T> mapper)	Initialize the integration step.
default T[]	FieldExplicitRungeKuttaIntegrator.singleStep(FieldOrdinaryDifferentialEquation<T> equations, T t0, T[] y0, T t)	Fast computation of a single step of ODE integration.
void	AdamsFieldIntegrator.updateHighOrderDerivativesPhase2(T[] start, T[] end, Array2DRowFieldMatrix<T> highOrder)	Update the high order scaled derivatives Adams integrators (phase 2).
void	AdamsNordsieckFieldTransformer.updateHighOrderDerivativesPhase2(T[] start, T[] end, Array2DRowFieldMatrix<T> highOrder)	Update the high order scaled derivatives Adams integrators (phase 2).

Uses of CalculusFieldElement in org.hipparchus.ode.sampling

Classes in org.hipparchus.ode.sampling with type parameters of type CalculusFieldElement

Modifier and Type	Class	Description
class	AbstractFieldODEStateInterpolator<T extends CalculusFieldElement<T>>	This abstract class represents an interpolator over the last step during an ODE integration.
interface	FieldODEFixedStepHandler<T extends CalculusFieldElement<T>>	This interface represents a handler that should be called after each successful fixed step.
interface	FieldODEStateInterpolator<T extends CalculusFieldElement<T>>	This interface represents an interpolator over the last step during an ODE integration.
interface	FieldODEStepHandler<T extends CalculusFieldElement<T>>	This interface represents a handler that should be called after each successful step.
class	FieldStepNormalizer<T extends CalculusFieldElement<T>>	This class wraps an object implementing FieldODEFixedStepHandler into a FieldODEStepHandler.

Uses of CalculusFieldElement in org.hipparchus.special

Methods in org.hipparchus.special with type parameters of type CalculusFieldElement

Modifier and Type	Method	Description
static <T extends CalculusFieldElement<T>> T	Gamma.digamma(T x)	Computes the digamma function of x.
static <T extends CalculusFieldElement<T>> T	Erf.erf(T x)	Returns the error function.
static <T extends CalculusFieldElement<T>> T	Erf.erf(T x1, T x2)	Returns the difference between erf(x1) and erf(x2).
static <T extends CalculusFieldElement<T>> T	Erf.erfc(T x)	Returns the complementary error function.
static <T extends CalculusFieldElement<T>> T	Erf.erfcInv(T x)	Returns the inverse erfc.
static <T extends CalculusFieldElement<T>> T	Erf.erfInv(T x)	Returns the inverse erf.
static <T extends CalculusFieldElement<T>> T	Gamma.gamma(T x)	Returns the value of Γ(x).
static <T extends CalculusFieldElement<T>> T	Gamma.invGamma1pm1(T x)	Returns the value of 1 / Γ(1 + x) - 1 for -0.5 ≤ x ≤ 1.5.
static <T extends CalculusFieldElement<T>> T	Gamma.lanczos(T x)	Returns the Lanczos approximation used to compute the gamma function.
static <T extends CalculusFieldElement<T>> T	Gamma.logGamma(T x)	Returns the value of log Γ(x) for x > 0.
static <T extends CalculusFieldElement<T>> T	Gamma.logGamma1p(T x)	Returns the value of log Γ(1 + x) for -0.5 ≤ x ≤ 1.5.
static <T extends CalculusFieldElement<T>> T	Gamma.regularizedGammaP(T a, T x)	Returns the regularized gamma function P(a, x).
static <T extends CalculusFieldElement<T>> T	Gamma.regularizedGammaP(T a, T x, double epsilon, int maxIterations)	Returns the regularized gamma function P(a, x).
static <T extends CalculusFieldElement<T>> T	Gamma.regularizedGammaQ(T a, T x)	Returns the regularized gamma function Q(a, x) = 1 - P(a, x).
static <T extends CalculusFieldElement<T>> T	Gamma.regularizedGammaQ(T a, T x, double epsilon, int maxIterations)	Returns the regularized gamma function Q(a, x) = 1 - P(a, x).
static <T extends CalculusFieldElement<T>> T	Gamma.trigamma(T x)	Computes the trigamma function of x.

Uses of CalculusFieldElement in org.hipparchus.special.elliptic.carlson

Methods in org.hipparchus.special.elliptic.carlson with type parameters of type CalculusFieldElement

Modifier and Type	Method	Description
static <T extends CalculusFieldElement<T>> FieldComplex<T>	CarlsonEllipticIntegral.rC(FieldComplex<T> x, FieldComplex<T> y)	Compute Carlson elliptic integral RC.
static <T extends CalculusFieldElement<T>> T	CarlsonEllipticIntegral.rC(T x, T y)	Compute Carlson elliptic integral RC.
static <T extends CalculusFieldElement<T>> FieldComplex<T>	CarlsonEllipticIntegral.rD(FieldComplex<T> x, FieldComplex<T> y, FieldComplex<T> z)	Compute Carlson elliptic integral RD.
static <T extends CalculusFieldElement<T>> T	CarlsonEllipticIntegral.rD(T x, T y, T z)	Compute Carlson elliptic integral RD.
static <T extends CalculusFieldElement<T>> FieldComplex<T>	CarlsonEllipticIntegral.rF(FieldComplex<T> x, FieldComplex<T> y, FieldComplex<T> z)	Compute Carlson elliptic integral RF.
static <T extends CalculusFieldElement<T>> T	CarlsonEllipticIntegral.rF(T x, T y, T z)	Compute Carlson elliptic integral RF.
static <T extends CalculusFieldElement<T>> FieldComplex<T>	CarlsonEllipticIntegral.rG(FieldComplex<T> x, FieldComplex<T> y, FieldComplex<T> z)	Compute Carlson elliptic integral RG.
static <T extends CalculusFieldElement<T>> T	CarlsonEllipticIntegral.rG(T x, T y, T z)	Compute Carlson elliptic integral RG.
static <T extends CalculusFieldElement<T>> FieldComplex<T>	CarlsonEllipticIntegral.rJ(FieldComplex<T> x, FieldComplex<T> y, FieldComplex<T> z, FieldComplex<T> p)	Compute Carlson elliptic integral RJ.
static <T extends CalculusFieldElement<T>> FieldComplex<T>	CarlsonEllipticIntegral.rJ(FieldComplex<T> x, FieldComplex<T> y, FieldComplex<T> z, FieldComplex<T> p, FieldComplex<T> delta)	Compute Carlson elliptic integral RJ.
static <T extends CalculusFieldElement<T>> T	CarlsonEllipticIntegral.rJ(T x, T y, T z, T p)	Compute Carlson elliptic integral RJ.
static <T extends CalculusFieldElement<T>> T	CarlsonEllipticIntegral.rJ(T x, T y, T z, T p, T delta)	Compute Carlson elliptic integral RJ.

Uses of CalculusFieldElement in org.hipparchus.special.elliptic.jacobi

Classes in org.hipparchus.special.elliptic.jacobi with type parameters of type CalculusFieldElement

Modifier and Type	Class	Description
class	FieldCopolarC<T extends CalculusFieldElement<T>>	Copolar trio with pole at point c in Glaisher’s Notation.
class	FieldCopolarD<T extends CalculusFieldElement<T>>	Copolar trio with pole at point d in Glaisher’s Notation.
class	FieldCopolarN<T extends CalculusFieldElement<T>>	Copolar trio with pole at point n in Glaisher’s Notation.
class	FieldCopolarS<T extends CalculusFieldElement<T>>	Copolar trio with pole at point s in Glaisher’s Notation.
class	FieldJacobiElliptic<T extends CalculusFieldElement<T>>	Computation of Jacobi elliptic functions.
class	FieldJacobiTheta<T extends CalculusFieldElement<T>>	Algorithm computing Jacobi theta functions.
class	FieldTheta<T extends CalculusFieldElement<T>>	Values of Jacobi theta functions.

Methods in org.hipparchus.special.elliptic.jacobi with type parameters of type CalculusFieldElement

Modifier and Type	Method	Description
static <T extends CalculusFieldElement<T>> FieldJacobiElliptic<FieldComplex<T>>	JacobiEllipticBuilder.build(FieldComplex<T> m)	Build an algorithm for computing Jacobi elliptic functions.
static <T extends CalculusFieldElement<T>> FieldJacobiElliptic<T>	JacobiEllipticBuilder.build(T m)	Build an algorithm for computing Jacobi elliptic functions.

Uses of CalculusFieldElement in org.hipparchus.special.elliptic.legendre

Methods in org.hipparchus.special.elliptic.legendre with type parameters of type CalculusFieldElement

Modifier and Type	Method	Description
static <T extends CalculusFieldElement<T>> FieldComplex<T>	LegendreEllipticIntegral.bigD(FieldComplex<T> m)	Get the complete elliptic integral D(m) = [K(m) - E(m)]/m.
static <T extends CalculusFieldElement<T>> FieldComplex<T>	LegendreEllipticIntegral.bigD(FieldComplex<T> phi, FieldComplex<T> m)	Get the incomplete elliptic integral D(φ, m) = [F(φ, m) - E(φ, m)]/m.
static <T extends CalculusFieldElement<T>> T	LegendreEllipticIntegral.bigD(T m)	Get the complete elliptic integral D(m) = [K(m) - E(m)]/m.
static <T extends CalculusFieldElement<T>> T	LegendreEllipticIntegral.bigD(T phi, T m)	Get the incomplete elliptic integral D(φ, m) = [F(φ, m) - E(φ, m)]/m.
static <T extends CalculusFieldElement<T>> FieldComplex<T>	LegendreEllipticIntegral.bigE(FieldComplex<T> m)	Get the complete elliptic integral of the second kind E(m).
static <T extends CalculusFieldElement<T>> FieldComplex<T>	LegendreEllipticIntegral.bigE(FieldComplex<T> phi, FieldComplex<T> m)	Get the incomplete elliptic integral of the second kind E(φ, m).
static <T extends CalculusFieldElement<T>> FieldComplex<T>	LegendreEllipticIntegral.bigE(FieldComplex<T> phi, FieldComplex<T> m, FieldComplexUnivariateIntegrator<T> integrator, int maxEval)	Get the incomplete elliptic integral of the second kind E(φ, m).
static <T extends CalculusFieldElement<T>> T	LegendreEllipticIntegral.bigE(T m)	Get the complete elliptic integral of the second kind E(m).
static <T extends CalculusFieldElement<T>> T	LegendreEllipticIntegral.bigE(T phi, T m)	Get the incomplete elliptic integral of the second kind E(φ, m).
static <T extends CalculusFieldElement<T>> FieldComplex<T>	LegendreEllipticIntegral.bigF(FieldComplex<T> phi, FieldComplex<T> m)	Get the incomplete elliptic integral of the first kind F(φ, m).
static <T extends CalculusFieldElement<T>> FieldComplex<T>	LegendreEllipticIntegral.bigF(FieldComplex<T> phi, FieldComplex<T> m, FieldComplexUnivariateIntegrator<T> integrator, int maxEval)	Get the incomplete elliptic integral of the first kind F(φ, m).
static <T extends CalculusFieldElement<T>> T	LegendreEllipticIntegral.bigF(T phi, T m)	Get the incomplete elliptic integral of the first kind F(φ, m).
static <T extends CalculusFieldElement<T>> FieldComplex<T>	LegendreEllipticIntegral.bigK(FieldComplex<T> m)	Get the complete elliptic integral of the first kind K(m).
static <T extends CalculusFieldElement<T>> T	LegendreEllipticIntegral.bigK(T m)	Get the complete elliptic integral of the first kind K(m).
static <T extends CalculusFieldElement<T>> FieldComplex<T>	LegendreEllipticIntegral.bigKPrime(FieldComplex<T> m)	Get the complete elliptic integral of the first kind K'(m).
static <T extends CalculusFieldElement<T>> T	LegendreEllipticIntegral.bigKPrime(T m)	Get the complete elliptic integral of the first kind K'(m).
static <T extends CalculusFieldElement<T>> FieldComplex<T>	LegendreEllipticIntegral.bigPi(FieldComplex<T> n, FieldComplex<T> m)	Get the complete elliptic integral of the third kind Π(n, m).
static <T extends CalculusFieldElement<T>> FieldComplex<T>	LegendreEllipticIntegral.bigPi(FieldComplex<T> n, FieldComplex<T> phi, FieldComplex<T> m)	Get the incomplete elliptic integral of the third kind Π(n, φ, m).
static <T extends CalculusFieldElement<T>> FieldComplex<T>	LegendreEllipticIntegral.bigPi(FieldComplex<T> n, FieldComplex<T> phi, FieldComplex<T> m, FieldComplexUnivariateIntegrator<T> integrator, int maxEval)	Get the incomplete elliptic integral of the third kind Π(n, φ, m).
static <T extends CalculusFieldElement<T>> T	LegendreEllipticIntegral.bigPi(T n, T m)	Get the complete elliptic integral of the third kind Π(n, m).
static <T extends CalculusFieldElement<T>> T	LegendreEllipticIntegral.bigPi(T n, T phi, T m)	Get the incomplete elliptic integral of the third kind Π(n, φ, m).
static <T extends CalculusFieldElement<T>> T	LegendreEllipticIntegral.nome(T m)	Get the nome q.

Uses of CalculusFieldElement in org.hipparchus.util

Classes in org.hipparchus.util with type parameters of type CalculusFieldElement

Modifier and Type	Class	Description
class	FieldTuple<T extends CalculusFieldElement<T>>	This class allows to perform the same computation of all components of a Tuple at once.

Classes in org.hipparchus.util that implement CalculusFieldElement

Modifier and Type	Class	Description
class	Binary64	This class wraps a double value in an object.
class	FieldTuple<T extends CalculusFieldElement<T>>	This class allows to perform the same computation of all components of a Tuple at once.
class	Tuple	This class allows to perform the same computation of all components of a Tuple at once.

Methods in org.hipparchus.util with type parameters of type CalculusFieldElement

Modifier and Type	Method	Description
static <T extends CalculusFieldElement<T>> T	FastMath.abs(T x)	Absolute value.
static <T extends CalculusFieldElement<T>> T	FastMath.acos(T x)	Compute the arc cosine of a number.
static <T extends CalculusFieldElement<T>> T	FastMath.acosh(T a)	Compute the inverse hyperbolic cosine of a number.
static <T extends CalculusFieldElement<T>> T	FastMath.asin(T x)	Compute the arc sine of a number.
static <T extends CalculusFieldElement<T>> T	FastMath.asinh(T a)	Compute the inverse hyperbolic sine of a number.
static <T extends CalculusFieldElement<T>> T	FastMath.atan(T x)	Arctangent function
static <T extends CalculusFieldElement<T>> T	FastMath.atan2(T y, T x)	Two arguments arctangent function
static <T extends CalculusFieldElement<T>> T	FastMath.atanh(T a)	Compute the inverse hyperbolic tangent of a number.
static <T extends CalculusFieldElement<T>> T	FastMath.cbrt(T x)	Compute the cubic root of a number.
static <T extends CalculusFieldElement<T>> T	FastMath.ceil(T x)	Get the smallest whole number larger than x.
static <T extends CalculusFieldElement<T>> void	MathArrays.checkEqualLength(T[] a, T[] b)	Check that both arrays have the same length.
static <T extends CalculusFieldElement<T>> boolean	MathArrays.checkEqualLength(T[] a, T[] b, boolean abort)	Check that both arrays have the same length.
static <T extends CalculusFieldElement<T>> void	MathArrays.checkOrder(T[] val)	Check that the given array is sorted in strictly increasing order.
static <T extends CalculusFieldElement<T>> void	MathArrays.checkOrder(T[] val, MathArrays.OrderDirection dir, boolean strict)	Check that the given array is sorted.
static <T extends CalculusFieldElement<T>> boolean	MathArrays.checkOrder(T[] val, MathArrays.OrderDirection dir, boolean strict, boolean abort)	Check that the given array is sorted.
static <T extends CalculusFieldElement<T>> T	FastMath.copySign(T magnitude, double sign)	Returns the first argument with the sign of the second argument.
static <T extends CalculusFieldElement<T>> T	FastMath.copySign(T magnitude, T sign)	Returns the first argument with the sign of the second argument.
static <T extends CalculusFieldElement<T>> T	FastMath.cos(T x)	Cosine function.
static <T extends CalculusFieldElement<T>> T	FastMath.cosh(T x)	Compute the hyperbolic cosine of a number.
static <S extends CalculusFieldElement<S>> FieldSinCos<S>	FieldSinCos.difference(FieldSinCos<S> scAlpha, FieldSinCos<S> scBeta)	Compute sine and cosine of angles difference.
static <S extends CalculusFieldElement<S>> FieldSinhCosh<S>	FieldSinhCosh.difference(FieldSinhCosh<S> schAlpha, FieldSinhCosh<S> schBeta)	Compute hyperbolic sine and hyperbolic cosine of angles difference.
<T extends CalculusFieldElement<T>> T	FieldContinuedFraction.evaluate(T x)	Evaluates the continued fraction at the value x.
<T extends CalculusFieldElement<T>> T	FieldContinuedFraction.evaluate(T x, double epsilon)	Evaluates the continued fraction at the value x.
<T extends CalculusFieldElement<T>> T	FieldContinuedFraction.evaluate(T x, double epsilon, int maxIterations)	Evaluates the continued fraction at the value x.
<T extends CalculusFieldElement<T>> T	FieldContinuedFraction.evaluate(T x, int maxIterations)	Evaluates the continued fraction at the value x.
static <T extends CalculusFieldElement<T>> T	FastMath.exp(T x)	Exponential function.
static <T extends CalculusFieldElement<T>> T	FastMath.expm1(T x)	Compute exp(x) - 1
static <T extends CalculusFieldElement<T>> T	FastMath.floor(T x)	Get the largest whole number smaller than x.
abstract <T extends CalculusFieldElement<T>> T	FieldContinuedFraction.getA(int n, T x)	Access the n-th a coefficient of the continued fraction.
abstract <T extends CalculusFieldElement<T>> T	FieldContinuedFraction.getB(int n, T x)	Access the n-th b coefficient of the continued fraction.
static <T extends CalculusFieldElement<T>> T	FastMath.hypot(T x, T y)	Returns the hypotenuse of a triangle with sides x and y - sqrt(x2 +y2) avoiding intermediate overflow or underflow.
static <T extends CalculusFieldElement<T>> T	FastMath.IEEEremainder(T dividend, double divisor)	Computes the remainder as prescribed by the IEEE 754 standard.
static <T extends CalculusFieldElement<T>> T	FastMath.IEEEremainder(T dividend, T divisor)	Computes the remainder as prescribed by the IEEE 754 standard.
static <T extends CalculusFieldElement<T>> T	FastMath.log(T x)	Natural logarithm.
static <T extends CalculusFieldElement<T>> T	FastMath.log10(T x)	Compute the base 10 logarithm.
static <T extends CalculusFieldElement<T>> T	FastMath.log1p(T x)	Computes log(1 + x).
static <T extends CalculusFieldElement<T>> T	FastMath.max(T a, double b)	Compute the maximum of two values
static <T extends CalculusFieldElement<T>> T	FastMath.max(T a, T b)	Compute the maximum of two values
static <T extends CalculusFieldElement<T>> T	MathUtils.max(T e1, T e2)	Find the maximum of two field elements.
static <T extends CalculusFieldElement<T>> T	FastMath.min(T a, double b)	Compute the minimum of two values
static <T extends CalculusFieldElement<T>> T	FastMath.min(T a, T b)	Compute the minimum of two values
static <T extends CalculusFieldElement<T>> T	MathUtils.min(T e1, T e2)	Find the minimum of two field elements.
static <T extends CalculusFieldElement<T>> double	FastMath.norm(T x)	Norm.
static <T extends CalculusFieldElement<T>> T	MathUtils.normalizeAngle(T a, T center)	Normalize an angle in a 2π wide interval around a center value.
static <T extends CalculusFieldElement<T>> T	FastMath.pow(T x, double y)	Power function.
static <T extends CalculusFieldElement<T>> T	FastMath.pow(T d, int e)	Raise a double to an int power.
static <T extends CalculusFieldElement<T>> T	FastMath.pow(T x, T y)	Power function.
static <T extends CalculusFieldElement<T>> T	FastMath.rint(T x)	Get the whole number that is the nearest to x, or the even one if x is exactly half way between two integers.
static <T extends CalculusFieldElement<T>> long	FastMath.round(T x)	Get the closest long to x.
static <T extends CalculusFieldElement<T>> T	FastMath.scalb(T d, int n)	Multiply a double number by a power of 2.
static <T extends CalculusFieldElement<T>> T	FastMath.sign(T a)	Compute the sign of a number.
static <T extends CalculusFieldElement<T>> T	FastMath.sin(T x)	Sine function.
static <T extends CalculusFieldElement<T>> FieldSinCos<T>	FastMath.sinCos(T x)	Combined Sine and Cosine function.
static <T extends CalculusFieldElement<T>> T	FastMath.sinh(T x)	Compute the hyperbolic sine of a number.
static <T extends CalculusFieldElement<T>> FieldSinhCosh<T>	FastMath.sinhCosh(T x)	Combined hyperbolic sine and hyperbolic cosine function.
static <T extends CalculusFieldElement<T>> T	FastMath.sqrt(T a)	Compute the square root of a number.
static <S extends CalculusFieldElement<S>> FieldSinCos<S>	FieldSinCos.sum(FieldSinCos<S> scAlpha, FieldSinCos<S> scBeta)	Compute sine and cosine of angles sum.
static <S extends CalculusFieldElement<S>> FieldSinhCosh<S>	FieldSinhCosh.sum(FieldSinhCosh<S> schAlpha, FieldSinhCosh<S> schBeta)	Compute hyperbolic sine and hyperbolic cosine of angles sum.
static <T extends CalculusFieldElement<T>> T	FastMath.tan(T x)	Tangent function.
static <T extends CalculusFieldElement<T>> T	FastMath.tanh(T x)	Compute the hyperbolic tangent of a number.
static <T extends CalculusFieldElement<T>> T	FastMath.toDegrees(T x)	Convert radians to degrees, with error of less than 0.5 ULP
static <T extends CalculusFieldElement<T>> T	FastMath.toRadians(T x)	Convert degrees to radians, with error of less than 0.5 ULP
static <T extends CalculusFieldElement<T>> T	FastMath.ulp(T x)	Compute least significant bit (Unit in Last Position) for a number.

Methods in org.hipparchus.util that return CalculusFieldElement

Modifier and Type	Method	Description
T[]	FieldTuple.getComponents()	Get all components of the tuple.

Methods in org.hipparchus.util with parameters of type CalculusFieldElement

Modifier and Type	Method	Description
static <T extends CalculusFieldElement<T>> void	MathArrays.checkEqualLength(T[] a, T[] b)	Check that both arrays have the same length.
static <T extends CalculusFieldElement<T>> boolean	MathArrays.checkEqualLength(T[] a, T[] b, boolean abort)	Check that both arrays have the same length.
static <T extends CalculusFieldElement<T>> void	MathArrays.checkOrder(T[] val)	Check that the given array is sorted in strictly increasing order.
static <T extends CalculusFieldElement<T>> void	MathArrays.checkOrder(T[] val, MathArrays.OrderDirection dir, boolean strict)	Check that the given array is sorted.
static <T extends CalculusFieldElement<T>> boolean	MathArrays.checkOrder(T[] val, MathArrays.OrderDirection dir, boolean strict, boolean abort)	Check that the given array is sorted.

Constructors in org.hipparchus.util with parameters of type CalculusFieldElement

Modifier	Constructor	Description
	FieldTuple(T... x)	Creates a new instance from its components.