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.linear	Linear algebra support.
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.
<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.
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.
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.
<T extends CalculusFieldElement<T>> T	DSCompiler.taylor(T[] ds, int dsOffset, T... delta)	Evaluate Taylor expansion of a derivative structure.
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

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

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

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

Modifier and Type	Class	Description
class	FieldBilinearInterpolatingFunction<T extends CalculusFieldElement<T>>	Interpolate grid data using bi-linear interpolation.
class	FieldBilinearInterpolator<T extends CalculusFieldElement<T>>	Interpolate grid data using bi-linear interpolation.
interface	FieldBivariateGridInterpolator<T extends CalculusFieldElement<T>>	Interface representing a bivariate field interpolating function where the sample points must be specified on a regular grid.
class	FieldGridAxis<T extends CalculusFieldElement<T>>	Helper for finding interpolation nodes along one axis of grid data.

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.
FieldBilinearInterpolatingFunction<T>	FieldBilinearInterpolator.interpolate(T[] xval, T[] yval, T[][] fval)	Compute an interpolating function for the dataset.
CalculusFieldBivariateFunction<T>	FieldBivariateGridInterpolator.interpolate(T[] xval, T[] yval, T[][] fval)	Compute an interpolating function for the dataset.
<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.

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

Constructor	Description
FieldBilinearInterpolatingFunction(T[] xVal, T[] yVal, T[][] fVal)	Simple constructor.
FieldGridAxis(T[] grid, int n)	Simple constructor.

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	FieldPolynomialFunctionLagrangeForm<T extends CalculusFieldElement<T>>	Implements the representation of a real polynomial function in Lagrange Form.
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[]	FieldPolynomialFunctionLagrangeForm.getCoefficients()	Returns a copy of the coefficients array.
T[]	FieldPolynomialFunctionLagrangeForm.getInterpolatingPoints()	Returns a copy of the interpolating points array.
T[]	FieldPolynomialFunctionLagrangeForm.getInterpolatingValues()	Returns a copy of the interpolating values 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

Constructor	Description
FieldPolynomialFunction(T[] c)	Construct a polynomial with the given coefficients.
FieldPolynomialFunctionLagrangeForm(T[] x, T[] y)	Construct a Lagrange polynomial with the given abscissas and function values.
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. a number which has both a real and imaginary part.
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. a number which has both a real and imaginary part.
class	FieldComplex<T extends CalculusFieldElement<T>>	Representation of a Complex number, i.e. a number which has both a real and imaginary part.

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.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.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. \[ \mathrm{erf}(x) = \frac{2}{\sqrt{\pi}} \int_{t=0}^x e^{-t^2}dt \]
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. \[ erfc(x) = \frac{2}{\sqrt{\pi}} \int_x^\infty e^{-t^2}dt = 1 - erf(x) \]
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

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