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/**************************************************************************/
/* Copyright 2012 Tim Day */
/* */
/* This file is part of Evolvotron */
/* */
/* Evolvotron is free software: you can redistribute it and/or modify */
/* it under the terms of the GNU General Public License as published by */
/* the Free Software Foundation, either version 3 of the License, or */
/* (at your option) any later version. */
/* */
/* Evolvotron is distributed in the hope that it will be useful, */
/* but WITHOUT ANY WARRANTY; without even the implied warranty of */
/* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the */
/* GNU General Public License for more details. */
/* */
/* You should have received a copy of the GNU General Public License */
/* along with Evolvotron. If not, see <http://www.gnu.org/licenses/>. */
/**************************************************************************/
/*! \file
\brief Interfaces and implementation for specific Function classes.
As much as possible of the implementation should be pushed into the FunctionBoilerplate template.
*/
#ifndef _functions_juliabrot_h_
#define _functions_juliabrot_h_
#include "common.h"
#include "function_boilerplate.h"
//------------------------------------------------------------------------------------------
//! Mandelbrot/Julia iterator for fractal functions.
/*! Returns i in 0 to iterations inclusive. i==iterations implies "in" set.
*/
inline uint brot(const real z0r,const real z0i,const real cr,const real ci,const uint iterations)
{
real zr=z0r;
real zi=z0i;
uint i;
for (i=0;i<iterations;i++)
{
const real zr2=zr*zr;
const real zi2=zi*zi;
if (zr2+zi2>4.0)
break;
const real nzr=zr2-zi2+cr;
const real nzi=2.0*zr*zi+ci;
zr=nzr;
zi=nzi;
}
return i;
}
//------------------------------------------------------------------------------------------
//! Function selects arg to evaluate based on test for point in Mandelbrot set.
FUNCTION_BEGIN(FunctionMandelbrotChoose,0,2,true,FnIterative|FnFractal)
//! Evaluate function.
virtual const XYZ evaluate(const XYZ& p) const
{
return (brot(0.0,0.0,p.x(),p.y(),iterations())==iterations() ? arg(0)(p) : arg(1)(p));
}
FUNCTION_END(FunctionMandelbrotChoose)
//-----------------------------------------------------------------------------------------
//! Function returns -1 for points in set, 0-1 for escaped points
FUNCTION_BEGIN(FunctionMandelbrotContour,0,0,true,FnIterative|FnFractal)
//! Evaluate function.
virtual const XYZ evaluate(const XYZ& p) const
{
const uint i=brot(0.0,0.0,p.x(),p.y(),iterations());
return (i==iterations() ? XYZ::fill(-1.0) : XYZ::fill(static_cast<real>(i)/iterations()));
}
FUNCTION_END(FunctionMandelbrotContour)
//------------------------------------------------------------------------------------------
//! Function selects arg to evaluate based on test for point in Julia set.
FUNCTION_BEGIN(FunctionJuliaChoose,2,2,true,FnIterative|FnFractal)
//! Evaluate function.
virtual const XYZ evaluate(const XYZ& p) const
{
return (brot(p.x(),p.y(),param(0),param(1),iterations())==iterations() ? arg(0)(p) : arg(1)(p));
}
FUNCTION_END(FunctionJuliaChoose)
//------------------------------------------------------------------------------------------
//! Function returns -1 for points in set, 0-1 for escaped points
FUNCTION_BEGIN(FunctionJuliaContour,2,0,true,FnIterative|FnFractal)
//! Evaluate function.
virtual const XYZ evaluate(const XYZ& p) const
{
const uint i=brot(p.x(),p.y(),param(0),param(1),iterations());
return (i==iterations() ? XYZ::fill(-1.0) : XYZ::fill(static_cast<real>(i)/iterations()));
}
FUNCTION_END(FunctionJuliaContour)
//------------------------------------------------------------------------------------------
//! Function selects arg to evaluate based on test for point in Juliabrot set.
/*! Juliabrot is 4 dimensional, but we only have 3 incoming parameters,
so have 4 4d-basis vector parameters.
*/
FUNCTION_BEGIN(FunctionJuliabrotChoose,16,2,true,FnIterative|FnFractal)
//! Evaluate function.
virtual const XYZ evaluate(const XYZ& p) const
{
const real zr=p.x()*param( 0)+p.y()*param( 1)+p.z()*param( 2)+param( 3);
const real zi=p.x()*param( 4)+p.y()*param( 5)+p.z()*param( 6)+param( 7);
const real cr=p.x()*param( 8)+p.y()*param( 9)+p.z()*param(10)+param(11);
const real ci=p.x()*param(12)+p.y()*param(13)+p.z()*param(14)+param(15);
return (brot(zr,zi,cr,ci,iterations())==iterations() ? arg(0)(p) : arg(1)(p));
}
FUNCTION_END(FunctionJuliabrotChoose)
//------------------------------------------------------------------------------------------
//! Function returns -1 for points in set, 0-1 for escaped points
/*! Juliabrot is 4 dimensional, but we only have 3 incoming parameters,
so have 4 4d-basis vector parameters.
*/
FUNCTION_BEGIN(FunctionJuliabrotContour,16,0,true,FnIterative|FnFractal)
//! Evaluate function.
virtual const XYZ evaluate(const XYZ& p) const
{
const real zr=p.x()*param( 0)+p.y()*param( 1)+p.z()*param( 2)+param( 3);
const real zi=p.x()*param( 4)+p.y()*param( 5)+p.z()*param( 6)+param( 7);
const real cr=p.x()*param( 8)+p.y()*param( 9)+p.z()*param(10)+param(11);
const real ci=p.x()*param(12)+p.y()*param(13)+p.z()*param(14)+param(15);
const uint i=brot(zr,zi,cr,ci,iterations());
return (i==iterations() ? XYZ::fill(-1.0) : XYZ::fill(static_cast<real>(i)/iterations()));
}
FUNCTION_END(FunctionJuliabrotContour)
//------------------------------------------------------------------------------------------
#endif
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