bezier-to-sbasis.h revision 981b809bc6ed10a21e89444d9447e5475801874f
/*
* bezier-to-sbasis.h
*
* Copyright 2006 Nathan Hurst <njh@mail.csse.monash.edu.au>
*
* This library is free software; you can redistribute it and/or
* modify it either under the terms of the GNU Lesser General Public
* License version 2.1 as published by the Free Software Foundation
* (the "LGPL") or, at your option, under the terms of the Mozilla
* Public License Version 1.1 (the "MPL"). If you do not alter this
* notice, a recipient may use your version of this file under either
* the MPL or the LGPL.
*
* You should have received a copy of the LGPL along with this library
* in the file COPYING-LGPL-2.1; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
* You should have received a copy of the MPL along with this library
* in the file COPYING-MPL-1.1
*
* The contents of this file are subject to the Mozilla Public License
* Version 1.1 (the "License"); you may not use this file except in
* compliance with the License. You may obtain a copy of the License at
* http://www.mozilla.org/MPL/
*
* This software is distributed on an "AS IS" basis, WITHOUT WARRANTY
* OF ANY KIND, either express or implied. See the LGPL or the MPL for
* the specific language governing rights and limitations.
*
*/
#ifndef _BEZIER_TO_SBASIS
#define _BEZIER_TO_SBASIS
#include "coord.h"
#include "d2.h"
#include "point.h"
namespace Geom{
template <unsigned order>
struct bezier_to_sbasis_impl {
static inline SBasis compute(Coord const *handles) {
return multiply(Linear(1, 0), bezier_to_sbasis_impl<order-1>::compute(handles)) +
multiply(Linear(0, 1), bezier_to_sbasis_impl<order-1>::compute(handles+1));
}
};
template <>
struct bezier_to_sbasis_impl<1> {
static inline SBasis compute(Coord const *handles) {
return Linear(handles[0], handles[1]);
}
};
template <>
struct bezier_to_sbasis_impl<0> {
static inline SBasis compute(Coord const *handles) {
return Linear(handles[0], handles[0]);
}
};
template <unsigned order>
inline SBasis bezier_to_sbasis(Coord const *handles) {
return bezier_to_sbasis_impl<order>::compute(handles);
}
template <unsigned order, typename T>
inline D2<SBasis> handles_to_sbasis(T const &handles) {
double v[2][order+1];
for(unsigned i = 0; i <= order; i++)
for(unsigned j = 0; j < 2; j++)
v[j][i] = handles[i][j];
return D2<SBasis>(bezier_to_sbasis<order>(v[0]),
bezier_to_sbasis<order>(v[1]));
}
};
#endif
/*
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End:
*/
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