Class FieldTaylorMap<T extends CalculusFieldElement<T>>
- Type Parameters:
T
- the type of the function parameters and value
- All Implemented Interfaces:
DifferentialAlgebra
A Taylor map is a set of n DerivativeStructure
\((f_1, f_2, \ldots, f_n)\) depending on m parameters \((p_1, p_2, \ldots, p_m)\),
with positive n and m.
- Since:
- 2.2
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Constructor Summary
ConstructorDescriptionFieldTaylorMap
(Field<T> valueField, int parameters, int order, int nbFunctions) Constructor for identity map.FieldTaylorMap
(T[] point, FieldDerivativeStructure<T>[] functions) Simple constructor. -
Method Summary
Modifier and TypeMethodDescriptioncompose
(FieldTaylorMap<T> other) Compose the instance with another Taylor map as \(\mathrm{this} \circ \mathrm{other}\).int
Get the number of free parameters.getFunction
(int i) Get a function from the map.int
Get the number of functions of the map.int
Deprecated.int
getOrder()
Get the maximum derivation order.T[]
getPoint()
Get the point at which map is evaluated.invert
(FieldMatrixDecomposer<T> decomposer) Invert the instance.T[]
value
(double... deltaP) Evaluate Taylor expansion of the map at some offset.T[]
Evaluate Taylor expansion of the map at some offset.
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Constructor Details
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FieldTaylorMap
Simple constructor.The number of number of parameters and derivation orders of all functions must match.
- Parameters:
point
- point at which map is evaluatedfunctions
- functions composing the map (must contain at least one element)
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FieldTaylorMap
Constructor for identity map.The identity is considered to be evaluated at origin.
- Parameters:
valueField
- field for the function parameters and valueparameters
- number of free parametersorder
- derivation ordernbFunctions
- number of functions
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Method Details
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getFreeParameters
public int getFreeParameters()Get the number of free parameters.- Specified by:
getFreeParameters
in interfaceDifferentialAlgebra
- Returns:
- number of free parameters
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getOrder
public int getOrder()Get the maximum derivation order.- Specified by:
getOrder
in interfaceDifferentialAlgebra
- Returns:
- maximum derivation order
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getNbParameters
Deprecated.Get the number of parameters of the map.- Returns:
- number of parameters of the map
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getNbFunctions
public int getNbFunctions()Get the number of functions of the map.- Returns:
- number of functions of the map
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getPoint
Get the point at which map is evaluated.- Returns:
- point at which map is evaluated
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getFunction
Get a function from the map.- Parameters:
i
- index of the function (must be between 0 included andgetNbFunctions()
excluded- Returns:
- function at index i
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value
Evaluate Taylor expansion of the map at some offset.- Parameters:
deltaP
- parameters offsets \((\Delta p_1, \Delta p_2, \ldots, \Delta p_n)\)- Returns:
- value of the Taylor expansion at \((p_1 + \Delta p_1, p_2 + \Delta p_2, \ldots, p_n + \Delta p_n)\)
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value
Evaluate Taylor expansion of the map at some offset.- Parameters:
deltaP
- parameters offsets \((\Delta p_1, \Delta p_2, \ldots, \Delta p_n)\)- Returns:
- value of the Taylor expansion at \((p_1 + \Delta p_1, p_2 + \Delta p_2, \ldots, p_n + \Delta p_n)\)
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compose
Compose the instance with another Taylor map as \(\mathrm{this} \circ \mathrm{other}\).- Parameters:
other
- map with which instance must be composed- Returns:
- composed map \(\mathrm{this} \circ \mathrm{other}\)
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invert
Invert the instance.Consider
Taylor expansion
of the map with small parameters offsets \((\Delta p_1, \Delta p_2, \ldots, \Delta p_n)\) which leads to evaluation offsets \((f_1 + df_1, f_2 + df_2, \ldots, f_n + df_n)\). The map inversion defines a Taylor map that computes \((\Delta p_1, \Delta p_2, \ldots, \Delta p_n)\) from \((df_1, df_2, \ldots, df_n)\).The map must be square to be invertible (i.e. the number of functions and the number of parameters in the functions must match)
- Parameters:
decomposer
- matrix decomposer to user for inverting the linear part- Returns:
- inverted map
- See Also:
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