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| # | |
| # nonlin-ex.R, 29 Sep 18 | |
| # Data from: | |
| # | |
| # Example from: | |
| # Evidence-based Software Engineering: based on the publicly available data | |
| # Derek M. Jones | |
| # | |
| # TAG example | |
| source("ESEUR_config.r") | |
| plot_layout(3, 3, max_width=9) | |
| par(mar=c(1.0, 1.0, 0.5, 0.5)) | |
| pal_col=rainbow(3) | |
| init_plot=function(expr_str) | |
| { | |
| plot(-1, -1, | |
| xaxt="n", yaxt="n", | |
| xlim=range(x), ylim=c(0, 1), | |
| xlab="", ylab="") | |
| text(8, 0.2, expr_str, pos=2, cex=1.6) | |
| } | |
| x=seq(0, 8, by=0.25) | |
| init_plot("Michaelis-Menten") | |
| mm=function(a, b, l_col) | |
| { | |
| y=a*x/(1+b*x) | |
| lines(x, y, col=l_col) | |
| } | |
| mm(1, 1, pal_col[1]) | |
| mm(1, 1.5, pal_col[2]) | |
| mm(2, 2, pal_col[3]) | |
| x=seq(0, 8, by=0.25) | |
| init_plot("Exponential") | |
| ep=function(a, b, l_col) | |
| { | |
| y=a*(1-b*exp(-b*x)) | |
| lines(x, y, col=l_col) | |
| } | |
| ep(1, 1, pal_col[1]) | |
| ep(1, 1.5, pal_col[2]) | |
| ep(1, 0.5, pal_col[3]) | |
| x=seq(0, 8, by=0.25) | |
| init_plot("Logistic") | |
| lo=function(a, b, c=0, d=1, l_col) | |
| { | |
| y=a+(b-a)/(1+exp(c-x)/d) | |
| lines(x, y, col=l_col) | |
| } | |
| lo(0, 1, 2, 1, pal_col[1]) | |
| lo(0, 1, 4, 2, pal_col[2]) | |
| lo(0, 1, 6, 3, pal_col[3]) | |
| x=seq(0, 8, by=0.25) | |
| init_plot("Weibull") | |
| we=function(a, b, c, d, l_col) | |
| { | |
| y=a-b*exp(-c*x^d) | |
| lines(x, y, col=l_col) | |
| } | |
| we(1, 1, 0.001, 5, pal_col[1]) | |
| we(1, 1, 2, 0.75, pal_col[2]) | |
| we(1, 1, 0.1, 2, pal_col[3]) | |
| x=seq(0, 8, by=0.25) | |
| init_plot("Gompertz") | |
| gm=function(a, b, c, l_col) | |
| { | |
| y=a*exp(b*exp(-c*x)) | |
| lines(x, y, col=l_col) | |
| } | |
| gm(1, -2, 0.3, pal_col[1]) | |
| gm(1, -2, 2, pal_col[2]) | |
| gm(1, -2, 0.7, pal_col[3]) | |
| x=seq(0, 8, by=0.25) | |
| x_bell=x-4 | |
| init_plot("Bell-shaped") | |
| hm=function(a, b, l_col) | |
| { | |
| y=a*exp(-(abs(b*x_bell)^2)) | |
| lines(x, y, col=l_col) | |
| } | |
| hm(1, 0.2, pal_col[1]) | |
| hm(1, 0.5, pal_col[2]) | |
| hm(1, 1, pal_col[3]) | |
| x=seq(0, 8, by=0.1) | |
| init_plot("Biexponential") | |
| be=function(a, b, c, d, l_col) | |
| { | |
| y=a*exp(-b*x)-c*exp(-d*x) | |
| lines(x, y, col=l_col) | |
| } | |
| be(1.6, 0.1, 1, 0.5, pal_col[1]) | |
| be(1.5, 0.4, 1, 1, pal_col[2]) | |
| be(1, 1, 1, 4, pal_col[3]) | |
| x=seq(0, 8, by=0.1) | |
| init_plot("Ricker curve") | |
| ry=function(a, b, l_col) | |
| { | |
| y=a*x*exp(-b*x) | |
| lines(x, y, col=l_col) | |
| } | |
| ry(1, 0.4, pal_col[1]) | |
| ry(1, 1, pal_col[2]) | |
| ry(4, 2, pal_col[3]) | |