Matrix-exponentiation operator: Difference between revisions
Added Sidef
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(Added Sidef) |
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47326274699395072.0, 32472478198530048.0
21648320946503680.0, 14853792205897728.0
</pre>
=={{header|Sidef}}==
<lang ruby>class Array {
method ** (Number n { .>= 0 }) {
var tmp = self
var out = self.len.of {|i| self.len.of {|j| i == j ? 1 : 0 }}
loop {
out = (out `mmul` tmp) if n.is_odd
n >>= 1 || break
tmp = (tmp `mmul` tmp)
}
return out
}
}
var m = [[1, 2, 0],
[0, 3, 1],
[1, 0, 0]]
for order in (0..5) {
say "### Order #{order}"
var t = (m ** order)
say (' ', t.join("\n "))
}</lang>
{{out}}
<pre>
### Order 0
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
### Order 1
[1, 2, 0]
[0, 3, 1]
[1, 0, 0]
### Order 2
[1, 8, 2]
[1, 9, 3]
[1, 2, 0]
### Order 3
[3, 26, 8]
[4, 29, 9]
[1, 8, 2]
### Order 4
[11, 84, 26]
[13, 95, 29]
[3, 26, 8]
### Order 5
[37, 274, 84]
[42, 311, 95]
[11, 84, 26]
</pre>
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