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 * bezier-to-sbasis.h
 * Copyright 2006 Nathan Hurst <>
 * 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., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 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
 * 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.


#include "coord.h"

#include "d2.h"
#include "point.h"

namespace Geom{

inline SBasis bezier_to_sbasis(Coord const *handles, unsigned order) {
    if(order == 0)
        return Linear(handles[0]);
    else if(order == 1)
        return Linear(handles[0], handles[1]);
        return multiply(Linear(1, 0), bezier_to_sbasis(handles, order-1)) +
            multiply(Linear(0, 1), bezier_to_sbasis(handles+1, order-1));

template <typename T>
inline D2<SBasis> handles_to_sbasis(T const &handles, unsigned order) {
    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(v[0], order),
                      bezier_to_sbasis(v[1], order));

  Local Variables:
  c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +))

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