Vincent Carret vcarret
vcarret
/ Vincent Carret - Frisch (1933): And yet it rocks.r
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January 4, 2023 20:45
Source code of the figures in the paper "And yet it rocks! Fluctuations and growth in Ragnar Frisch's rocking horse model"
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| # Author: Vincent Carret | |
| # Contact: vincent.carret@univ-lyon2.fr | |
| # This R script reproduces the figures in the paper "And yet it rocks! Fluctuations and growth in Ragnar Frisch's rocking horse model" (version 3 - online 5 Dec. 2020) | |
| # There is an app version accessible here: https://cbheem.shinyapps.io/Frisch/ | |
| # The libraries at the beginning are necessary and must be installed | |
| library(plotly) | |
| library(dplyr) | |
| # Functions ---- |
vcarret
/ complex-W.r
Last active
June 29, 2020 15:21
Pure R algorithm for the complex branches of the Lambert W function. Based on Corless et al. (1996) and Istvan Mezo C++ implementation (https://github.com/IstvanMezo/LambertW-function). Quite slow compared to the C++ version which can be run with Rcpp
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| initPoint <- function(z, k){ | |
| I <- complex(real = 0, imaginary = 1) | |
| tPiKI <- complex(real = 0, imaginary = 2*pi*k) | |
| ip <- log(z) + tPiKI - log(log(z) + tPiKI) | |
| p <- sqrt(2*(exp(1)*z+1)) | |
| if(abs(z - (-exp(-1))) <= 1){ | |
| if(k == 0) ip <- -1 + p - 1/3 * p^2 + 11/72 * p^3 | |
| if(k == 1 && Im(z) < 0) ip <- -1 - p - 1/3 * p^2 - 11/72 * p^3 | |
| if(k == -1 && Im(z) > 0) ip <- -1 - p - 1/3 * p^2 - 11/72 * p^3 |