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7735 changed files with 38060 additions and 199180 deletions
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with ada.text_io; use ada.text_io;
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procedure golden_ratio_convergence is
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-- This is a fixed-point type. I typed a bunch of "0"
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-- without counting them.
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type number is delta 0.000000000000001 range -10.0 .. 10.0;
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one : constant number := number (1.0);
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phi : constant number := number (1.61803398874989484820458683436563811772030917980576286213544862270526046281890244970720720418939113748475); -- OEIS A001622
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phi0, phi1 : number;
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count : integer;
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begin
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count := 1;
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phi0 := 1.0;
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phi1 := (one + (one / phi0));
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while abs (phi1 - phi0) > number (1.0e-5) loop
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count := count + 1;
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phi0 := phi1;
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phi1 := (one + (one / phi0));
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end loop;
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put ("Result:");
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put (phi1'image);
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put (" after");
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put (count'image);
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put_line (" iterations");
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put ("The error is approximately ");
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put_line (number'image (phi1 - phi));
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end golden_ratio_convergence;
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