derivate_funct_1dT_derivate_funct_1dDerivateFunct1dDerivateFunct1d (Operator)

Name

derivate_funct_1dT_derivate_funct_1dDerivateFunct1dDerivateFunct1d — Calculate the derivatives of a function.

Signature

derivate_funct_1d( : : Function, Mode : Derivative)

Description

derivate_funct_1dderivate_funct_1dDerivateFunct1dDerivateFunct1dDerivateFunct1d calculates the derivatives of the function FunctionFunctionFunctionFunctionfunction up to the second degree. It uses a finite difference approximation of order O(h^2). The derivative is also a function with the same sampling points as FunctionFunctionFunctionFunctionfunction. With the parameter ModeModeModeModemode, 'first'"first""first""first""first" and 'second'"second""second""second""second" derivatives can be selected.

Execution Information

Multithreading type: reentrant (runs in parallel with non-exclusive operators).
Multithreading scope: global (may be called from any thread).
Processed without parallelization.

Parameters

FunctionFunctionFunctionFunctionfunction (input_control) function_1d → (real / integer)

Input function

ModeModeModeModemode (input_control) string → (string)

Type of derivative

Default value: 'first' "first" "first" "first" "first"

List of values: 'first'"first""first""first""first", 'second'"second""second""second""second"

DerivativeDerivativeDerivativeDerivativederivative (output_control) function_1d → (real / integer)

Derivative of the input function

Possible Predecessors

create_funct_1d_pairscreate_funct_1d_pairsCreateFunct1dPairsCreateFunct1dPairsCreateFunct1dPairs, create_funct_1d_arraycreate_funct_1d_arrayCreateFunct1dArrayCreateFunct1dArrayCreateFunct1dArray, smooth_funct_1d_gausssmooth_funct_1d_gaussSmoothFunct1dGaussSmoothFunct1dGaussSmoothFunct1dGauss, smooth_funct_1d_meansmooth_funct_1d_meanSmoothFunct1dMeanSmoothFunct1dMeanSmoothFunct1dMean

Module

Foundation