Download or view paniqPuzzle.frink in plain text format
/**
A puzzle from paniq:
https://gist.github.com/paniq/c8062db998d573c55cc7e98a1e0f3d48
*/
use Fourier.frink
a = """71 41 83 70 28 5 3 4 7 71 4 3 4 48 92 26 60 46 15 95 84 93 16 60 18 53 17 15 6 74 94 96 73 27 83 72 16 81 91 3 53 51 92 43 38 15 48 42 71 51 40 37 71 37 73 61 72 45 96 26 6 30 27 71 61 51 48 7 95 83 27 73 6 29 15 16 29 16 27 17 53 16 57 51 26 6 73 95 27 81 53 51 27 6 51 70 84 28 82 92 5 92 27 94 28 65 64 36 71 6 73 73 70 16 29 38 16 35 50 25 64 27 16 17 5 71 7 38 93 4 45 72 16 15 50 27 62 95 80 56 61 83 27 6 29 72 42 92 56 17 83 25 47 38 16 29 4 93 63 18 64 15 6 3 50 26 28 82 73 4 7 42 49 7 17 94 52 40 41 28 83 95 54 6 74 56 26 72 93 72 4 7 16 5 70 49 83 58 82 62 59 53 62 28 50 72 50 44 61 15 49 38 72 71 27 72 30 59 17 61 42 70 62 27 48 15 50 18 27 17 60 82 73 49 3 16 82 49 92 82 39 73 74 42 28 62 93 48 28 39 95 16 93 35 59 35 5 82 46 38 28 34 95 83 55 72 39 84 17 49 84 62 39 94 95 73 26 94 72 4 28 94 46 5 3 15 70 60 72 16 28 82 25 61 64 58 30 48 36 70 59 82 37 48 81 47 72 63 50 95 92 15 93 71 83 5 29 93 94 83 81 29 92 27 69 28 95 5 51 83 4 51 50 94 15 43 95 6 83 81 85 41 62 61 82 72 85 27 15 6 82 81 94 62 47 72 94 81 27 94 85 85 47 72 5 52 36 71 46 45 93 28 59 15 95 41 35 4 52 82 14 18 63 39 70 17 74 93 3 59 62 71 80 45 5 82 3 35 5 58 28 29 27 74 40 5 27 39 4 82 83 29 37 93 82 81 4 17 95 26 59 28 6 94 28 18 15 40 36 52 46 70 6 94 72 94 47 51 70 4 38 39 59 3 48 61 48 28 73 59 29 73 14 64 61 71 48 5 95 72 72 73 42 15 28 95 16 94 46 95 66 81 64 6 40 58 6 16 74 15 16 39 82 40 50 18 94 38 28 17 4 38 92 38 27 93 93 83 60 58 4 18 82 83 65 52 4 70 40 83 82 47 16 94 5 91 82 28 6 83 14 27 94 49 5 49 51 16 72 6 16 28 51 93 27 17 93 64 6 85 38 71 39 84 60 28 83 93 95 92 82 59 84 49 71 54 95 72 38 28 49 72 71 26 46 72 42 62 28 16 28 4 71 34 39 84 49 28 8 16 38 49 62 38 92 26 27 72 5 4 71 80 94 51 52 27 83 37 37 17 92 16 27 6 5 52 37 71 93 62 51 69 42 7 28 82 62 41 93 47 72 81 71 93 28 37 39 17 82 41 46 61 71 4 72 27 95 94 7 85 83 83 92 92 94 95 53 82 49 54 84 29 71 49 4 39 46 70 6 84 93 5 35 94 96 93 3 83 16 27 37 29 60 29 5 27 61 15 5 52 42 17 16 82 95 17 70 82 38 17 47 5 83 63 94 65 81 17 16 81 95 81 5 18 70 83 93 84 95 83 39 71 53 47 40 70 63 14 40 3 63 38 83 59 50 14 14 38 39 28 37 84 5 72 15 39 60 60 70 51 49 3 94 82 25 65 94 17 84 48 93 5 59 63 49 48 46 83 48 5 26 47 39 83 29 95 49 50 5 84 52 72 48 40 94 16 83 63 82 58 36 26 62 7 94 84 4 6 47 4 70 49 96 73 49 29 16 15 16 39 71 26 72 26 54 93 49 3 52 94 3 39 94 49 59 93 50 70 72 3 15 47 49 52 93 83 15 30 7 26 29 70 5 83 49 83 94 16 83 5 38 27 6 40 96 26 63 16 35 35 73 4 4 49 39 94 73 6 5 72 18 73 94 59 94 37 61 27 15 27 81 30 62 48 15 47 36 5 16 37 93 60 29 81 95 48 7 16 84 16 72 27 6 58 4 62 5 83 83 41 49 82 15 5 28 94 63 7 82 57 71 16 73 62 60 41 58 40 92 73 84 84 4 82 40 81 4 36 65 50 15 17 47 5 71 17 17 64 61 17 36 49 82 61 93 6 46 62 5 81 38 39 70 69 94 71 3 71 8 95 94 84 49 17 72 74 39 91 5 70 93 82 6 16 50 4 82 72 54 73 92 40 83 61 17 62 25 5 83 48 60 83 81 49 84 17 45 70 16 93"""
b = eval[split[%r/\s+/, a]]
println[length[b]]
use correlation.frink
//c = autocorrelation[b]
//println[c]
for size = 1 to sqrt[length[b]]
{
g = new graphics
for i = rangeOf[b]
{
p = b@i
g.color[p/100, p/100, p/100]
g.fillRectSize[i div size, i mod size, 1, 1]
}
// g.show[]
g.write["wow$size.png", 240, undef]
}
for size = 1 to 1
{
g = new graphics
pl = new polyline
g.color[0,0,0]
for i = rangeOf[b]
{
p = b@i
pl.addPoint[i,p]
}
g.add[pl]
g.show[]
}
f = DFT[b]
//println[f]
g = new graphics
// fprime will contain just selected frequency components.
fprime = new array[]
len = length[f]
zeroUnit = 0 f@0
threshold = .1
vscale = 20
c = 0
str = ""
for y = f
{
x = (c + len/2) mod len // Draw low-freq components together in middle
// Draw phases
g.color[0,1,0]
phase = arctan[Im[y],Re[y]]
g.fillRectSides[x,0,x+1,-5 phase]
// Draw magnitudes
g.color[0,0,0,.7]
mag = abs[y]
if (c != 0) // Don't draw DC component because it's huge.
g.fillRectSides[x,0,x+1,-vscale mag]
if (mag > threshold) // Decide which components to keep.
{
daysphase = (phase/(2 pi) * len)
mag2 = 2 mag
println["Used component $c, mag is $mag, phase is $daysphase days"]
if c == 0
str = format[mag2/2, 1, 6]
if c > 0 && c < len/2
str = str + " +\n " + format[mag2,1,6] + " cos[2 pi $c/$len d - " + format[phase,1,6] + "]"
fprime.push[y]
} else
fprime.push[zeroUnit]
c = c + 1
}
println[str]
g.show[]
g.write["wowFourier.png", 1024, undef]
Download or view paniqPuzzle.frink in plain text format
This is a program written in the programming language Frink.
For more information, view the Frink
Documentation or see More Sample Frink Programs.
Alan Eliasen was born 20217 days, 23 hours, 16 minutes ago.