/**************************************************************************/
/* 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 . */
/**************************************************************************/
/*! \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_kaleidoscope_h_
#define _functions_kaleidoscope_h_
#include "common.h"
#include "function_boilerplate.h"
//------------------------------------------------------------------------------------------
//! Implements reflection of sampling point about multiple planes
FUNCTION_BEGIN(FunctionKaleidoscope,1,1,false,FnStructure)
//! Evaluate function.
virtual const XYZ evaluate(const XYZ& p) const
{
const uint n=2+static_cast(floor(8.0*fabs(param(0))));
const real a=atan2(p.x(),p.y());
const real r=sqrt(p.x()*p.x()+p.y()*p.y());
const real sa=trianglef(a,M_PI/n);
const XYZ s(r*sin(sa),r*cos(sa),p.z());
return arg(0)(s);
}
FUNCTION_END(FunctionKaleidoscope)
//------------------------------------------------------------------------------------------
//! Like FunctionKaleidoscope but Z drives rotation of underlying function
/*! Good for animation
*/
FUNCTION_BEGIN(FunctionKaleidoscopeZRotate,2,1,false,FnStructure)
//! Evaluate function.
virtual const XYZ evaluate(const XYZ& p) const
{
const uint n=2+static_cast(floor(8.0*fabs(param(0))));
const real a=atan2(p.x(),p.y());
const real r=sqrt(p.x()*p.x()+p.y()*p.y());
const real sa=trianglef(a,M_PI/n)+param(1)*p.z();
const XYZ s(r*sin(sa),r*cos(sa),0.0);
return arg(0)(s);
}
FUNCTION_END(FunctionKaleidoscopeZRotate)
//------------------------------------------------------------------------------------------
//! Like FunctionKaleidoscope with a twist
FUNCTION_BEGIN(FunctionKaleidoscopeTwist,2,1,false,FnStructure)
//! Evaluate function.
virtual const XYZ evaluate(const XYZ& p) const
{
const uint n=2+static_cast(floor(8.0*fabs(param(0))));
const real a=atan2(p.x(),p.y());
const real r=sqrt(p.x()*p.x()+p.y()*p.y());
const real sa=trianglef(a-r*param(1),M_PI/n);
const XYZ s(r*sin(sa),r*cos(sa),p.z());
return arg(0)(s);
}
FUNCTION_END(FunctionKaleidoscopeTwist)
//------------------------------------------------------------------------------------------
//! Implements reflection of sampling point about multiple planes
FUNCTION_BEGIN(FunctionWindmill,1,1,false,FnStructure)
//! Evaluate function.
virtual const XYZ evaluate(const XYZ& p) const
{
const uint n=1+static_cast(floor(8.0*fabs(param(0))));
const real a=atan2(p.x(),p.y());
const real r=sqrt(p.x()*p.x()+p.y()*p.y());
const real sa=modulusf(a,M_PI/n);
const XYZ s(r*sin(sa),r*cos(sa),p.z());
return arg(0)(s);
}
FUNCTION_END(FunctionWindmill)
//------------------------------------------------------------------------------------------
//! Like FunctionWindmill but Z drives rotation of underlying function
/*! Good for animation
*/
FUNCTION_BEGIN(FunctionWindmillZRotate,2,1,false,FnStructure)
//! Evaluate function.
virtual const XYZ evaluate(const XYZ& p) const
{
const uint n=1+static_cast(floor(8.0*fabs(param(0))));
const real a=atan2(p.x(),p.y());
const real r=sqrt(p.x()*p.x()+p.y()*p.y());
const real sa=modulusf(a,M_PI/n)+param(1)*p.z();
const XYZ s(r*sin(sa),r*cos(sa),0.0);
return arg(0)(s);
}
FUNCTION_END(FunctionWindmillZRotate)
//------------------------------------------------------------------------------------------
//! Like FunctionWindmill with twist
FUNCTION_BEGIN(FunctionWindmillTwist,2,1,false,FnStructure)
//! Evaluate function.
virtual const XYZ evaluate(const XYZ& p) const
{
const uint n=1+static_cast(floor(8.0*fabs(param(0))));
const real a=atan2(p.x(),p.y());
const real r=sqrt(p.x()*p.x()+p.y()*p.y());
const real sa=modulusf(a-r*param(1),M_PI/n);
const XYZ s(r*sin(sa),r*cos(sa),p.z());
return arg(0)(s);
}
FUNCTION_END(FunctionWindmillTwist)
//------------------------------------------------------------------------------------------
#endif