Module utils 

Utility functions and algorithms Utility functions and algorithms module

This module provides various utility functions and algorithms used throughout the crate, including mathematical functions, data structures, and computational methods specific to stochastic process simulations.

Structs

CirculantEmbedding

Circulant embedding method for generating stationary Gaussian random fields with given correlation functions

Functions

approx_eq

Check if two floating numbers are approximately equal within a tolerance

cumsum

Calculate the cumulative sum of a vector

diff

Calculate the difference between adjacent elements in an array

eval_poly

Evaluate a polynomial using the Horner method

exponential_correlation

Exponential correlation function: exp(-r/l)

fbm_correlation

Fractional Brownian motion correlation function

flatten_interpolate

Generate a flattened (step function) interpolation over a specified range

float_eq

Check if two floating numbers are equal within the f64 precision

gaussian_correlation

Gaussian correlation function: exp(-(r/l)^2)

is_increasing

Check if an array is non-decreasing

linear_interpolate

Linear interpolation

linspace

Generate a vector of evenly spaced numbers over a specified range

matern_five_half_correlation

Matérn correlation function (nu=5/2): (1 + sqrt(5)r/l + 5r^2/(3*l^2)) * exp(-sqrt(5)*r/l)

matern_half_correlation

Matérn correlation function (nu=1/2): exp(-r/l)

matern_three_half_correlation

Matérn correlation function (nu=3/2): (1 + sqrt(3)*r/l) * exp(-sqrt(3)*r/l)

minmax

find max value and min value in a &[f64]

write_csvio

Write data to a CSV file