sensobol (version 1.1.5)

ishigami_Fun: Ishigami function

Description

It implements the Ishigami1990;textualsensobol function.

Usage

ishigami_Fun(X)

Value

A numeric vector with the model output.

Arguments

X

A data frame or numeric matrix where each column is a model input and each row a sample point.

Details

The function requires 3 model inputs and reads as $$y=\sin(x_1) +a \sin(x_2) ^ 2 + b x_3 ^4 \sin(x_1)\,,$$ where \(a=2\), \(b=1\) and \((x_1,x_2,x_3)\sim\mathcal{U}(-\pi, +\pi)\). The transformation of the distribution of the model inputs from \(U(0, 1)\) to \(U(-\pi, +\pi)\)) is conducted internally.

References

Examples

# Define settings
N <- 100; params <- paste("X", 1:3, sep = "")

# Create sample matrix
mat <- sobol_matrices(N = N, params = params)

# Compute Ishigami function
Y <- ishigami_Fun(mat)