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Arithmetic-type INT rules

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Arithmetic-type INT rules

Posted: February 17th, 2021, 7:50 pm
by creeperman7002
This is a set of rules that merge arithmetic with INT rules.
Can someone make a script to make these rule tables?

Examples:
Addition modulo 8, B2/S0123456H:

Code: Select all

@RULE Addition8

@TABLE
n_states:8
neighborhood:hexagonal
symmetries:permute
0,1,1,0,0,0,0,2
0,1,2,0,0,0,0,3
0,1,3,0,0,0,0,4
0,1,4,0,0,0,0,5
0,1,5,0,0,0,0,6
0,1,6,0,0,0,0,7
0,2,2,0,0,0,0,4
0,2,3,0,0,0,0,5
0,2,4,0,0,0,0,6
0,2,5,0,0,0,0,7
0,2,7,0,0,0,0,1
0,3,3,0,0,0,0,6
0,3,4,0,0,0,0,7
0,3,6,0,0,0,0,1
0,3,7,0,0,0,0,2
0,4,5,0,0,0,0,1
0,4,6,0,0,0,0,2
0,4,7,0,0,0,0,3
0,5,5,0,0,0,0,2
0,5,6,0,0,0,0,3
0,5,7,0,0,0,0,4
0,6,6,0,0,0,0,4
0,6,7,0,0,0,0,5
0,7,7,0,0,0,0,6

@COLORS
0 0 0 0
1 255 0 0
2 255 128 0
3 255 255 0
4 128 255 0
5 0 255 0
6 0 255 128
7 0 255 255
Multiplication modulo 10, B2/S0123456H:

Code: Select all

@RULE Multiplication10

@TABLE
n_states:10
neighborhood:hexagonal
symmetries:permute
0,1,1,0,0,0,0,1
0,1,2,0,0,0,0,2
0,1,3,0,0,0,0,3
0,1,4,0,0,0,0,4
0,1,5,0,0,0,0,5
0,1,6,0,0,0,0,6
0,1,7,0,0,0,0,7
0,1,8,0,0,0,0,8
0,1,9,0,0,0,0,9
0,2,2,0,0,0,0,4
0,2,3,0,0,0,0,6
0,2,4,0,0,0,0,8
0,2,6,0,0,0,0,2
0,2,7,0,0,0,0,4
0,2,8,0,0,0,0,6
0,2,9,0,0,0,0,8
0,3,3,0,0,0,0,9
0,3,4,0,0,0,0,2
0,3,5,0,0,0,0,5
0,3,6,0,0,0,0,8
0,3,7,0,0,0,0,1
0,3,8,0,0,0,0,4
0,3,9,0,0,0,0,7
0,4,4,0,0,0,0,6
0,4,6,0,0,0,0,4
0,4,7,0,0,0,0,8
0,4,8,0,0,0,0,2
0,4,9,0,0,0,0,6
0,5,5,0,0,0,0,5
0,5,7,0,0,0,0,5
0,5,9,0,0,0,0,5
0,6,6,0,0,0,0,6
0,6,7,0,0,0,0,2
0,6,8,0,0,0,0,8
0,6,9,0,0,0,0,4
0,7,7,0,0,0,0,9
0,7,8,0,0,0,0,6
0,7,9,0,0,0,0,3
0,8,8,0,0,0,0,4
0,8,9,0,0,0,0,2
0,9,9,0,0,0,0,1

@COLORS
0 0 0 0
1 255 0 0
2 255 128 0
3 255 255 0
4 128 255 0
5 0 255 0
6 0 255 128
7 0 255 255
8 0 128 255
9 0 0 255
Addition modulo 4, B3/S23:

Code: Select all

@RULE B3S23Addition4

@TABLE
n_states:4
neighborhood:Moore
symmetries:permute
var a={1,2,3}
var b={1,2,3}
var c={1,2,3}
var d={1,2,3}
var e={1,2,3}
var f={1,2,3}
var g={1,2,3}
var h={1,2,3}
0,1,1,1,0,0,0,0,0,3
0,1,2,2,0,0,0,0,0,1
0,2,2,2,0,0,0,0,0,2
0,1,1,3,0,0,0,0,0,1
0,1,2,3,0,0,0,0,0,2
0,2,2,3,0,0,0,0,0,3
0,1,3,3,0,0,0,0,0,3
0,3,3,3,0,0,0,0,0,1
1,0,0,0,0,0,0,0,0,0
1,a,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,2
1,1,2,0,0,0,0,0,0,3
1,2,2,0,0,0,0,0,0,0
1,1,3,0,0,0,0,0,0,0
1,3,3,0,0,0,0,0,0,2
1,1,1,1,0,0,0,0,0,3
1,1,1,2,0,0,0,0,0,0
1,2,2,2,0,0,0,0,0,2
1,1,2,3,0,0,0,0,0,2
1,2,2,3,0,0,0,0,0,3
1,1,3,3,0,0,0,0,0,3
1,2,3,3,0,0,0,0,0,0
1,a,b,c,d,0,0,0,0,0
1,a,b,c,d,e,0,0,0,0
1,a,b,c,d,e,f,0,0,0
1,a,b,c,d,e,f,g,0,0
1,a,b,c,d,e,f,g,h,0
2,0,0,0,0,0,0,0,0,0
2,a,0,0,0,0,0,0,0,0
2,1,2,0,0,0,0,0,0,3
2,2,2,0,0,0,0,0,0,0
2,1,3,0,0,0,0,0,0,0
2,2,3,0,0,0,0,0,0,1
2,1,1,1,0,0,0,0,0,3
2,1,1,2,0,0,0,0,0,0
2,1,1,3,0,0,0,0,0,1
2,1,2,2,0,0,0,0,0,1
2,2,2,3,0,0,0,0,0,3
2,1,3,3,0,0,0,0,0,3
2,2,3,3,0,0,0,0,0,0
2,3,3,3,0,0,0,0,0,1
2,a,b,c,d,0,0,0,0,0
2,a,b,c,d,e,0,0,0,0
2,a,b,c,d,e,f,0,0,0
2,a,b,c,d,e,f,g,0,0
2,a,b,c,d,e,f,g,h,0
3,0,0,0,0,0,0,0,0,0
3,a,0,0,0,0,0,0,0,0
3,1,1,0,0,0,0,0,0,2
3,2,2,0,0,0,0,0,0,0
3,1,3,0,0,0,0,0,0,0
3,2,3,0,0,0,0,0,0,1
3,3,3,0,0,0,0,0,0,2
3,1,1,2,0,0,0,0,0,0
3,1,1,3,0,0,0,0,0,1
3,1,2,2,0,0,0,0,0,1
3,2,2,2,0,0,0,0,0,2
3,1,2,3,0,0,0,0,0,2
3,2,3,3,0,0,0,0,0,0
3,3,3,3,0,0,0,0,0,1
3,a,b,c,d,0,0,0,0,0
3,a,b,c,d,e,0,0,0,0
3,a,b,c,d,e,f,0,0,0
3,a,b,c,d,e,f,g,0,0
3,a,b,c,d,e,f,g,h,0

@COLORS
0 0 0 0
1 255 0 0
2 255 128 0
3 255 255 0
Addition modulo 8, B2/S:

Code: Select all

@RULE B2SAddition8

@TABLE
n_states:8
neighborhood:Moore
symmetries:permute
var a={1,2,3,4,5,6,7}
var b={1,2,3,4,5,6,7}
var c={1,2,3,4,5,6,7}
var d={1,2,3,4,5,6,7}
var e={1,2,3,4,5,6,7}
var f={1,2,3,4,5,6,7}
var g={1,2,3,4,5,6,7}
var h={1,2,3,4,5,6,7}
0,1,1,0,0,0,0,0,0,2
0,1,2,0,0,0,0,0,0,3
0,1,3,0,0,0,0,0,0,4
0,1,4,0,0,0,0,0,0,5
0,1,5,0,0,0,0,0,0,6
0,1,6,0,0,0,0,0,0,7
0,2,2,0,0,0,0,0,0,4
0,2,3,0,0,0,0,0,0,5
0,2,4,0,0,0,0,0,0,6
0,2,5,0,0,0,0,0,0,7
0,2,7,0,0,0,0,0,0,1
0,3,3,0,0,0,0,0,0,6
0,3,4,0,0,0,0,0,0,7
0,3,6,0,0,0,0,0,0,1
0,3,7,0,0,0,0,0,0,2
0,4,5,0,0,0,0,0,0,1
0,4,6,0,0,0,0,0,0,2
0,4,7,0,0,0,0,0,0,3
0,5,5,0,0,0,0,0,0,2
0,5,6,0,0,0,0,0,0,3
0,5,7,0,0,0,0,0,0,4
0,6,6,0,0,0,0,0,0,4
0,6,7,0,0,0,0,0,0,5
0,7,7,0,0,0,0,0,0,6
1,0,0,0,0,0,0,0,0,0
1,a,0,0,0,0,0,0,0,0
1,a,b,0,0,0,0,0,0,0
1,a,b,c,0,0,0,0,0,0
1,a,b,c,d,0,0,0,0,0
1,a,b,c,d,e,0,0,0,0
1,a,b,c,d,e,f,0,0,0
1,a,b,c,d,e,f,g,0,0
1,a,b,c,d,e,f,g,h,0
2,0,0,0,0,0,0,0,0,0
2,a,0,0,0,0,0,0,0,0
2,a,b,0,0,0,0,0,0,0
2,a,b,c,0,0,0,0,0,0
2,a,b,c,d,0,0,0,0,0
2,a,b,c,d,e,0,0,0,0
2,a,b,c,d,e,f,0,0,0
2,a,b,c,d,e,f,g,0,0
2,a,b,c,d,e,f,g,h,0
3,0,0,0,0,0,0,0,0,0
3,a,0,0,0,0,0,0,0,0
3,a,b,0,0,0,0,0,0,0
3,a,b,c,0,0,0,0,0,0
3,a,b,c,d,0,0,0,0,0
3,a,b,c,d,e,0,0,0,0
3,a,b,c,d,e,f,0,0,0
3,a,b,c,d,e,f,g,0,0
3,a,b,c,d,e,f,g,h,0
4,0,0,0,0,0,0,0,0,0
4,a,0,0,0,0,0,0,0,0
4,a,b,0,0,0,0,0,0,0
4,a,b,c,0,0,0,0,0,0
4,a,b,c,d,0,0,0,0,0
4,a,b,c,d,e,0,0,0,0
4,a,b,c,d,e,f,0,0,0
4,a,b,c,d,e,f,g,0,0
4,a,b,c,d,e,f,g,h,0
5,0,0,0,0,0,0,0,0,0
5,a,0,0,0,0,0,0,0,0
5,a,b,0,0,0,0,0,0,0
5,a,b,c,0,0,0,0,0,0
5,a,b,c,d,0,0,0,0,0
5,a,b,c,d,e,0,0,0,0
5,a,b,c,d,e,f,0,0,0
5,a,b,c,d,e,f,g,0,0
5,a,b,c,d,e,f,g,h,0
6,0,0,0,0,0,0,0,0,0
6,a,0,0,0,0,0,0,0,0
6,a,b,0,0,0,0,0,0,0
6,a,b,c,0,0,0,0,0,0
6,a,b,c,d,0,0,0,0,0
6,a,b,c,d,e,0,0,0,0
6,a,b,c,d,e,f,0,0,0
6,a,b,c,d,e,f,g,0,0
6,a,b,c,d,e,f,g,h,0
7,0,0,0,0,0,0,0,0,0
7,a,0,0,0,0,0,0,0,0
7,a,b,0,0,0,0,0,0,0
7,a,b,c,0,0,0,0,0,0
7,a,b,c,d,0,0,0,0,0
7,a,b,c,d,e,0,0,0,0
7,a,b,c,d,e,f,0,0,0
7,a,b,c,d,e,f,g,0,0
7,a,b,c,d,e,f,g,h,0

@COLORS
0 0 0 0
1 255 0 0
2 255 128 0
3 255 255 0
4 128 255 0
5 0 255 0
6 0 255 128
7 0 255 255
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