82 lines
2.5 KiB
C
82 lines
2.5 KiB
C
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/*
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Apophysis Plugin
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program; if not, write to the Free Software
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Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
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*/
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typedef struct
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{
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double ffive;
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double fnatlog;
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} Variables;
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#define _USE_MATH_DEFINES
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#define APO_NOVARIABLES
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#define APO_VIRTUALVAR
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#include "apoplugin.h"
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// Set the name of this plugin
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APO_PLUGIN("fibonacci");
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// You must call the argument "vp".
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int PluginVarPrepare(Variation* vp)
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{
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// Updated to use the new constants. Still calculates
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// invserse of root five and the nat log of the Golden Ratio.
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// I'm not sure how many decimal places were appropriate,
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// or how many C allows, and this isn't going to take
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// up any noticeable amount of time.
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VAR(ffive) = 1/M_SQRT5;
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VAR(fnatlog) = log(M_PHI);
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// Always return TRUE.
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return TRUE;
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}
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// p^z - (-p)^(-z)
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// z' = -----------------
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// sqrt(5)
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//
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// Where p is the Golden Ratio.
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// This function generates the fibonacci sequence
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// for real integer values.
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// 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 < Real Value
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// 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 < Fib Value
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//
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// Negative real integers produce the negative fibonacci sequence,
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// which is the same as the normal one, except every
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// other number is negative.
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// 1 0 -1 -2 -3 -4 -5 -6 -7 -8 < Real Value
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// 1 0 1 -1 3 -3 5 -8 13 -21 < Fib Value
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// You must call the argument "vp".
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int PluginVarCalc(Variation* vp)
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{
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double snum1, cnum1, snum2, cnum2;
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fsincos(FTy * VAR(fnatlog), &snum1, &cnum1);
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fsincos((FTx * M_PI + FTy * VAR(fnatlog)) * -1, &snum2, &cnum2);
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double eradius1 = exp(FTx * VAR(fnatlog));
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double eradius2 = exp((FTx * VAR(fnatlog) - FTy * M_PI) * -1);
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FPx += VVAR * (eradius1 * cnum1 - eradius2 * cnum2) * VAR(ffive);
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FPy += VVAR * (eradius1 * snum1 - eradius2 * snum2) * VAR(ffive);
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return TRUE;
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}
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