22 lines
710 B
Text
22 lines
710 B
Text
def feigenbaum_delta(imax; jmax):
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def lpad: tostring | (" " * (4 - length)) + .;
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def pp(i;x): "\(i|lpad) \(x)";
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"Feigenbaum's delta constant incremental calculation:",
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pp("i"; "δ"),
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pp(1; "3.20"),
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( foreach range(2; 1+imax) as $i (
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{a1: 1.0, a2: 0.0, d1: 3.2};
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.a = .a1 + (.a1 - .a2) / .d1
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| reduce range(1; 1+jmax) as $j (.;
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.x = 0 | .y = 0
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| reduce range(1; 1+pow(2;$i)) as $k (.;
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.y = (1 - 2 * .x * .y)
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| .x = .a - (.x * .x) )
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| .a -= (.x / .y) )
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| .d = (.a1 - .a2) / (.a - .a1)
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| .d1 = .d | .a2 = .a1 | .a1 = .a;
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pp($i; .d) ) ) ;
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Feigenbaum_delta(13; 10)
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