From 7e04a1f47d4380afa7f54b3eed6615f79d47fbf6 Mon Sep 17 00:00:00 2001
From: "Andrew E. Torda" <torda@zbh.uni-hamburg.de>
Date: Wed, 20 Apr 2022 18:07:48 +0200
Subject: [PATCH] Docs and getting ready for Uebung.

---
 ackley_plot_for_handout.r |  31 +++++++++++++++++++++++++++++++
 examples/plot1.r          |  35 +++++++++++++++++++----------------
 function.docx             | Bin 17010 -> 0 bytes
 uebung_ackley.docx        | Bin 0 -> 44727 bytes
 4 files changed, 50 insertions(+), 16 deletions(-)
 create mode 100644 ackley_plot_for_handout.r
 delete mode 100644 function.docx
 create mode 100644 uebung_ackley.docx

diff --git a/ackley_plot_for_handout.r b/ackley_plot_for_handout.r
new file mode 100644
index 0000000..476cb20
--- /dev/null
+++ b/ackley_plot_for_handout.r
@@ -0,0 +1,31 @@
+# This only works in two dimensions, but it is enough for the Uebung
+# description
+ackley <- function(x, y, a, b, c) {
+    d <- 2
+
+    sum1 <- x * x + y * y
+    sum2 <- cos(c * x) + cos(c * y)
+
+    term1 <- -a * exp(-b * sqrt(sum1 / d))
+    term2 <- -exp(sum2 / d)
+    y <- term1 + term2 + a + exp(1)
+    return(y)
+}
+
+mymain <- function() {
+    a <- 20; b <- 0.2; c <- 2 * pi; #   defaults
+    x <- seq(from = -4, to = 4, length.out = 200)
+    z <- outer(X = x, Y = x, FUN = ackley, a, b, c)
+
+    lim <- c(min(x), max(x))
+    if (T) {
+        png(filename = "ackley2d.png", bg = "white")
+    }
+    persp(x = x, y = x, z = z,
+          xlab = "x1", ylab = "x2", zlab = "ackley",
+          theta = -20,
+          ticktype = "detailed")
+    dev.off()
+}
+
+mymain()
diff --git a/examples/plot1.r b/examples/plot1.r
index bb80a7c..063d7f2 100644
--- a/examples/plot1.r
+++ b/examples/plot1.r
@@ -1,12 +1,15 @@
-# Let us see if we can make a 2D histogram
+# Make a 2D plot of some example results.
+# Do not use default axis scaling. It is determined by the most extreme points
+# visited and there are always a few outliers. Set the boundaries manually with
+# plotmin and plotmax.
 
 input_file  <- "ex2.csv"
 plotmin <- -5
 plotmax <- 5
-getxy <- function (fname) {
+getxy <- function(fname) {
     csvnames <- c("step", "fval", "temp", "x1", "x2")
     df <- read.csv(input_file, header = F, col.names = csvnames)
-    df  <- df[c("x1","x2")]
+    df  <- df[c("x1", "x2")]
     return(df)
 }
 
@@ -23,23 +26,23 @@ mymain <- function() {
     df <- enforce_limits(df)
 
     nbins <- 100
-    if (F) {
-        x.bin <- seq(floor(min(df$x1)), ceiling(max(df$x1)), length = nbins)
-        y.bin <- seq(floor(min(df$x2)), ceiling(max(df$x2)), length = nbins)
+    if (F) { # This would be default scaling, but it looks awful.
+        x_bin <- seq(floor(min(df$x1)), ceiling(max(df$x1)), length = nbins)
+        y_bin <- seq(floor(min(df$x2)), ceiling(max(df$x2)), length = nbins)
     } else {
-        x.bin  <- seq(-5,5,length = nbins)
-        y.bin  <- seq(-5,5,length = nbins)
+        x_bin  <- seq(-5, 5, length = nbins)
+        y_bin  <- seq(-5, 5, length = nbins)
     }
 
-    freq <-  as.data.frame(table(findInterval(df$x1, x.bin),findInterval(df$x2, y.bin)))
-    freq[,1] <- as.numeric(freq[,1])
-    freq[,2] <- as.numeric(freq[,2])
+    freq <-  as.data.frame(table(findInterval(df$x1, x_bin), findInterval(df$x2, y_bin)))
+    freq[, 1] <- as.numeric(freq[, 1])
+    freq[, 2] <- as.numeric(freq[, 2])
 
-    freq2D <- diag(nbins)*0
-    freq2D[cbind(freq[,1], freq[,2])] <- freq[,3]
-    par(mfrow=c(1,2))
-    image(x.bin, y.bin, freq2D, col=topo.colors(max(freq2D)))
-    contour(x.bin, y.bin, freq2D, add=TRUE, col=rgb(1,1,1,.7))
+    freq2D <- diag(nbins) * 0
+    freq2D[cbind(freq[, 1], freq[, 2])] <- freq[, 3]
+    par(mfrow=c(1, 2))
+    image(x_bin, y_bin, freq2D, col=topo.colors(max(freq2D)))
+    contour(x_bin, y_bin, freq2D, add=TRUE, col=rgb(1,1,1,.7))
 
     palette(rainbow(max(freq2D)))
     cols <- (freq2D[-1,-1] + freq2D[-1,-(nbins-1)] + freq2D[-(nbins-1),-(nbins-1)] + freq2D[-(nbins-1),-1])/4
diff --git a/function.docx b/function.docx
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-- 
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