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authorFlorian Jung <flo@windfisch.org>2015-08-27 21:05:22 +0200
committerFlorian Jung <flo@windfisch.org>2015-08-27 21:05:22 +0200
commitea4515d0516dc3f0bd20428f6d032714ca5ffdea (patch)
tree6119669b4827d078f9c1b8bf9d9a717a67178146 /reversing_game_mechanics/zoomlevel
parenta973a8986191a7a492a18a8f52d33bce9b821292 (diff)
reverse engineered zoom level
Diffstat (limited to 'reversing_game_mechanics/zoomlevel')
-rw-r--r--reversing_game_mechanics/zoomlevel/README30
-rw-r--r--reversing_game_mechanics/zoomlevel/filter_data.py10
-rw-r--r--reversing_game_mechanics/zoomlevel/fit.log46
-rw-r--r--reversing_game_mechanics/zoomlevel/stats.pickle.xzbin0 -> 581852 bytes
-rw-r--r--reversing_game_mechanics/zoomlevel/win.mass.1116
-rw-r--r--reversing_game_mechanics/zoomlevel/win.mass.2455
-rw-r--r--reversing_game_mechanics/zoomlevel/win.mass.3126
-rw-r--r--reversing_game_mechanics/zoomlevel/win.mass.4130
-rw-r--r--reversing_game_mechanics/zoomlevel/win.mass.58
-rw-r--r--reversing_game_mechanics/zoomlevel/win.mass.64
-rw-r--r--reversing_game_mechanics/zoomlevel/win.mass.gnuplot9
-rw-r--r--reversing_game_mechanics/zoomlevel/win.size.1116
-rw-r--r--reversing_game_mechanics/zoomlevel/win.size.2150
-rw-r--r--reversing_game_mechanics/zoomlevel/win.size.369
-rw-r--r--reversing_game_mechanics/zoomlevel/win.size.477
-rw-r--r--reversing_game_mechanics/zoomlevel/win.size.58
-rw-r--r--reversing_game_mechanics/zoomlevel/win.size.64
-rw-r--r--reversing_game_mechanics/zoomlevel/win.size.all424
-rw-r--r--reversing_game_mechanics/zoomlevel/win.size.all.filtered227
-rw-r--r--reversing_game_mechanics/zoomlevel/win.size.gnuplot16
20 files changed, 2025 insertions, 0 deletions
diff --git a/reversing_game_mechanics/zoomlevel/README b/reversing_game_mechanics/zoomlevel/README
new file mode 100644
index 0000000..72cd14d
--- /dev/null
+++ b/reversing_game_mechanics/zoomlevel/README
@@ -0,0 +1,30 @@
+The goal is to find out the formula to calculate the appropriate zoom level,
+or equivalent: to calculate the size of the world viewport depending on, well,
+dunno.
+
+Data collected using bea9a124317, on 2015-08-25 *iirc*. (-> stats.pickle.xz)
+
+Data analyzed using a973a898619, with:
+
+ python analyze.py stats.pickle > temp
+
+then manually, create win.{size,mass}.{1,2,3,4,5,6} by cutting the
+analyze.py output into pieces (depending on number of cells).
+
+view with
+
+ gnuplot win.{size,mass}.gnuplot
+
+the gray lines in win.size.gnuplot denote the filtering conditions of
+filter_data.py
+
+Then merge and filter the data using
+
+ cat win.size.[123456] | python filter_data.py > win.size.all.filtered
+
+win.size.gnuplot will automatically fit a "a * size**b" - like function.
+
+Result: visible diagonal = 369.399 * sum(sizes)**0.431776
+
+Also, analyze.py tells us that the viewport ratio is 1.7 : 1
+
diff --git a/reversing_game_mechanics/zoomlevel/filter_data.py b/reversing_game_mechanics/zoomlevel/filter_data.py
new file mode 100644
index 0000000..e801d78
--- /dev/null
+++ b/reversing_game_mechanics/zoomlevel/filter_data.py
@@ -0,0 +1,10 @@
+import sys
+
+for line in sys.stdin:
+ line = line.split()
+ size, diag = int(line[0]), float(line[1])
+ upper = size**0.4 * 460 + 50
+ lower = size**0.407 * 460 - 400
+ if lower < diag and diag < upper:
+ print(str(size) + "\t" + str(diag) + "\t\t" + line[2])
+
diff --git a/reversing_game_mechanics/zoomlevel/fit.log b/reversing_game_mechanics/zoomlevel/fit.log
new file mode 100644
index 0000000..10e4639
--- /dev/null
+++ b/reversing_game_mechanics/zoomlevel/fit.log
@@ -0,0 +1,46 @@
+
+
+*******************************************************************************
+Thu Aug 27 21:04:27 2015
+
+
+FIT: data read from "win.size.all.filtered" using 1:2
+ format = x:z
+ #datapoints = 227
+ residuals are weighted equally (unit weight)
+
+function used for fitting: f(x)
+fitted parameters initialized with current variable values
+
+
+
+ Iteration 0
+ WSSR : 1.99006e+09 delta(WSSR)/WSSR : 0
+ delta(WSSR) : 0 limit for stopping : 1e-05
+ lambda : 543.709
+
+initial set of free parameter values
+
+a = 1
+b = 1
+
+After 187 iterations the fit converged.
+final sum of squares of residuals : 316175
+rel. change during last iteration : -9.20903e-11
+
+degrees of freedom (FIT_NDF) : 225
+rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 37.4863
+variance of residuals (reduced chisquare) = WSSR/ndf : 1405.22
+
+Final set of parameters Asymptotic Standard Error
+======================= ==========================
+
+a = 369.399 +/- 4.401 (1.191%)
+b = 0.431776 +/- 0.002383 (0.5519%)
+
+
+correlation matrix of the fit parameters:
+
+ a b
+a 1.000
+b -0.998 1.000
diff --git a/reversing_game_mechanics/zoomlevel/stats.pickle.xz b/reversing_game_mechanics/zoomlevel/stats.pickle.xz
new file mode 100644
index 0000000..c915674
--- /dev/null
+++ b/reversing_game_mechanics/zoomlevel/stats.pickle.xz
Binary files differ
diff --git a/reversing_game_mechanics/zoomlevel/win.mass.1 b/reversing_game_mechanics/zoomlevel/win.mass.1
new file mode 100644
index 0000000..1bac0fb
--- /dev/null
+++ b/reversing_game_mechanics/zoomlevel/win.mass.1
@@ -0,0 +1,116 @@
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diff --git a/reversing_game_mechanics/zoomlevel/win.mass.2 b/reversing_game_mechanics/zoomlevel/win.mass.2
new file mode 100644
index 0000000..8c08b58
--- /dev/null
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diff --git a/reversing_game_mechanics/zoomlevel/win.mass.3 b/reversing_game_mechanics/zoomlevel/win.mass.3
new file mode 100644
index 0000000..ba343eb
--- /dev/null
+++ b/reversing_game_mechanics/zoomlevel/win.mass.3
@@ -0,0 +1,126 @@
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diff --git a/reversing_game_mechanics/zoomlevel/win.mass.4 b/reversing_game_mechanics/zoomlevel/win.mass.4
new file mode 100644
index 0000000..aa0de62
--- /dev/null
+++ b/reversing_game_mechanics/zoomlevel/win.mass.4
@@ -0,0 +1,130 @@
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diff --git a/reversing_game_mechanics/zoomlevel/win.mass.5 b/reversing_game_mechanics/zoomlevel/win.mass.5
new file mode 100644
index 0000000..f4b686e
--- /dev/null
+++ b/reversing_game_mechanics/zoomlevel/win.mass.5
@@ -0,0 +1,8 @@
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diff --git a/reversing_game_mechanics/zoomlevel/win.mass.6 b/reversing_game_mechanics/zoomlevel/win.mass.6
new file mode 100644
index 0000000..7994d85
--- /dev/null
+++ b/reversing_game_mechanics/zoomlevel/win.mass.6
@@ -0,0 +1,4 @@
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diff --git a/reversing_game_mechanics/zoomlevel/win.mass.gnuplot b/reversing_game_mechanics/zoomlevel/win.mass.gnuplot
new file mode 100644
index 0000000..a948115
--- /dev/null
+++ b/reversing_game_mechanics/zoomlevel/win.mass.gnuplot
@@ -0,0 +1,9 @@
+min(a,b)=(a<b)?a:b
+max(a,b)=(a>b)?a:b
+plot "win.mass.1" using 1:2:(min(1,$3/100)) lt rgb "red" pt 2 ps variable, \
+ "win.mass.2" using 1:2:(min(1,$3/100)) lt rgb "blue" pt 2 ps variable, \
+ "win.mass.3" using 1:2:(min(1,$3/100)) lt rgb "green" pt 2 ps variable, \
+ "win.mass.4" using 1:2:(1) lt rgb "purple" pt 2 ps variable, \
+ "win.mass.5" using 1:2:(1) lt rgb "cyan" pt 2 ps variable, \
+ "win.mass.6" using 1:2:(1) lt rgb "orange" pt 2 ps variable
+pause -1
diff --git a/reversing_game_mechanics/zoomlevel/win.size.1 b/reversing_game_mechanics/zoomlevel/win.size.1
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diff --git a/reversing_game_mechanics/zoomlevel/win.size.all.filtered b/reversing_game_mechanics/zoomlevel/win.size.all.filtered
new file mode 100644
index 0000000..b1abb5b
--- /dev/null
+++ b/reversing_game_mechanics/zoomlevel/win.size.all.filtered
@@ -0,0 +1,227 @@
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diff --git a/reversing_game_mechanics/zoomlevel/win.size.gnuplot b/reversing_game_mechanics/zoomlevel/win.size.gnuplot
new file mode 100644
index 0000000..90886c3
--- /dev/null
+++ b/reversing_game_mechanics/zoomlevel/win.size.gnuplot
@@ -0,0 +1,16 @@
+min(a,b)=(a<b)?a:b
+max(a,b)=(a>b)?a:b
+
+f(x) = a* x**b
+fit f(x) "win.size.all.filtered" using 1:2 via a,b
+
+plot "win.size.1" using 1:2:(min(1,$3/100)) lt rgb "red" pt 2 ps variable, \
+ "win.size.2" using 1:2:(min(1,$3/100)) lt rgb "blue" pt 2 ps variable, \
+ "win.size.3" using 1:2:(min(1,$3/100)) lt rgb "green" pt 2 ps variable, \
+ "win.size.4" using 1:2:(1) lt rgb "purple" pt 2 ps variable, \
+ "win.size.5" using 1:2:(1) lt rgb "cyan" pt 2 ps variable, \
+ "win.size.6" using 1:2:(1) lt rgb "orange" pt 2 ps variable, \
+ x**0.4*460+50 lt rgb "gray", \
+ x**0.407*460-400 lt rgb "gray", \
+ f(x) lt rgb "black"
+pause -1