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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_transform_h_
#define _functions_transform_h_
#include "useful.h"
#include "function_boilerplate.h"
#include "transform.h"
//------------------------------------------------------
//! Function class returning simply scaled position
FUNCTION_BEGIN(FunctionIsotropicScale,1,0,false,0)
//! Return the evaluation of arg(0) at the transformed position argument.
virtual const XYZ evaluate(const XYZ& p) const
{
return param(0)*p;
}
FUNCTION_END(FunctionIsotropicScale)
//------------------------------------------------------------------------------------------
//! Function class returning leaf node evaluated at position transfomed by a 12-component linear transform.
/*! Unlike FunctionPreTransform, the basis vectors for the transform are not fixed but determined from leaf functions
*/
FUNCTION_BEGIN(FunctionPreTransformGeneralised,0,5,false,0)
//! Return the evaluation of arg(0) at the transformed position argument.
virtual const XYZ evaluate(const XYZ& p) const
{
const Transform transform(arg(1)(p),arg(2)(p),arg(3)(p),arg(4)(p));
return arg(0)(transform.transformed(p));
}
FUNCTION_END(FunctionPreTransformGeneralised)
//------------------------------------------------------------------------------------------
//! Function class returning leaf node evaluated at given position; result is then transfomed by a 12-component linear transform.
/*! Unlike FunctionPostTransform, the basis vectors for the transform are not fixed but determined from leaf functions
*/
FUNCTION_BEGIN(FunctionPostTransformGeneralised,0,5,false,0)
//! Return the evaluation of arg(0) at the transformed position argument.
virtual const XYZ evaluate(const XYZ& p) const
{
const Transform transform(arg(1)(p),arg(2)(p),arg(3)(p),arg(4)(p));
return transform.transformed(arg(0)(p));
}
FUNCTION_END(FunctionPostTransformGeneralised)
//------------------------------------------------------------------------------------------
//! Transforms position transformed by a 30 paramter quadratic transform.
/*! This used to be a core function but it doesn't look that great.
*/
FUNCTION_BEGIN(FunctionTransformQuadratic,30,0,false,0)
//! Return p transformed.
virtual const XYZ evaluate(const XYZ& p) const
{
const XYZ translate(param( 0),param( 1),param( 2));
const XYZ basis_x (param( 3),param( 4),param( 5));
const XYZ basis_y (param( 6),param( 7),param( 8));
const XYZ basis_z (param( 9),param(10),param(11));
const XYZ basis_xy (param(12),param(13),param(14));
const XYZ basis_xz (param(15),param(16),param(17));
const XYZ basis_yz (param(18),param(19),param(20));
const XYZ basis_xx (param(21),param(22),param(23));
const XYZ basis_yy (param(24),param(25),param(26));
const XYZ basis_zz (param(27),param(28),param(29));
return
translate
+basis_x*p.x()+basis_y*p.y()+basis_z*p.z()
+basis_xy*(p.x()*p.y())+basis_xz*(p.x()*p.z())+basis_yz*(p.y()*p.z())
+basis_xx*(p.x()*p.x())+basis_yy*(p.y()*p.y())+basis_zz*(p.z()*p.z());
}
FUNCTION_END(FunctionTransformQuadratic)
//------------------------------------------------------------------------------------------
FUNCTION_BEGIN(FunctionRotate,0,1,false,0)
//! Evaluate function.
virtual const XYZ evaluate(const XYZ& p) const
{
const XYZ a(arg(0)(p)*M_PI);
const TransformRotateX rx(a.x());
const TransformRotateY ry(a.y());
const TransformRotateZ rz(a.z());
return rx*(ry*(rz*p));
}
FUNCTION_END(FunctionRotate)
//------------------------------------------------------------------------------------------
#endif
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