Created
December 9, 2016 08:32
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Fractal of Pascal's triangle
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| - | |
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| - * - | |
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| - * * * - | |
| - - * * - - | |
| - * - * - * - | |
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| - * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * - | |
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| import std.algorithm, | |
| std.functional, | |
| std.array, | |
| std.range, | |
| std.stdio; | |
| import std.bigint; | |
| BigInt Px(BigInt n, BigInt r) { | |
| BigInt ret = 1; | |
| for (; r > 0; r--) { | |
| ret *= n--; | |
| } | |
| return ret; | |
| } | |
| alias P = memoize!Px; | |
| BigInt Cx(BigInt n, BigInt k) { | |
| return n.P(k) / k.P(k); | |
| } | |
| alias C = memoize!Cx; | |
| BigInt[] rows(BigInt n) { | |
| return n.iota.map!(r => (n-1).Cx(r)).array; | |
| } | |
| void main() { | |
| BigInt M = 64; | |
| BigInt[][] trs = M.iota.map!(m => (m + 1).rows).array; | |
| auto mlen = trs[$ - 1].length; | |
| foreach (i, tr; trs) { | |
| foreach (_; 1..(mlen - i)) { | |
| write(" "); | |
| } | |
| foreach (t; tr) { | |
| write(t % 2 ? "-": "*" , " "); | |
| } | |
| writeln; | |
| } | |
| } |
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