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* \brief Various trigoniometric helper functions
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* Johan Engelen <goejendaagh@zonnet.nl>
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* Copyright (C) 2007 authors
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* This library is free software; you can redistribute it and/or
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* modify it either under the terms of the GNU Lesser General Public
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* License version 2.1 as published by the Free Software Foundation
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* (the "LGPL") or, at your option, under the terms of the Mozilla
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* Public License Version 1.1 (the "MPL"). If you do not alter this
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* notice, a recipient may use your version of this file under either
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* the MPL or the LGPL.
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* You should have received a copy of the LGPL along with this library
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* in the file COPYING-LGPL-2.1; if not, write to the Free Software
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* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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* You should have received a copy of the MPL along with this library
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* in the file COPYING-MPL-1.1
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* The contents of this file are subject to the Mozilla Public License
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* Version 1.1 (the "License"); you may not use this file except in
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* compliance with the License. You may obtain a copy of the License at
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* http://www.mozilla.org/MPL/
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* This software is distributed on an "AS IS" basis, WITHOUT WARRANTY
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* OF ANY KIND, either express or implied. See the LGPL or the MPL for
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* the specific language governing rights and limitations.
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#ifndef LIB2GEOM_SEEN_ANGLE_H
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#define LIB2GEOM_SEEN_ANGLE_H
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# define M_PI 3.14159265358979323846
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inline double deg_to_rad(double deg) { return deg*M_PI/180.0;}
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inline double rad_to_deg(double rad) { return rad*180.0/M_PI;}
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* \brief Various trigoniometric helper functions
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* Johan Engelen <goejendaagh@zonnet.nl>
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* Copyright (C) 2007 authors
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* This library is free software; you can redistribute it and/or
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* modify it either under the terms of the GNU Lesser General Public
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* License version 2.1 as published by the Free Software Foundation
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* (the "LGPL") or, at your option, under the terms of the Mozilla
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* Public License Version 1.1 (the "MPL"). If you do not alter this
15
* notice, a recipient may use your version of this file under either
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* the MPL or the LGPL.
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* You should have received a copy of the LGPL along with this library
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* in the file COPYING-LGPL-2.1; if not, write to the Free Software
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* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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* You should have received a copy of the MPL along with this library
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* in the file COPYING-MPL-1.1
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* The contents of this file are subject to the Mozilla Public License
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* Version 1.1 (the "License"); you may not use this file except in
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* compliance with the License. You may obtain a copy of the License at
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* http://www.mozilla.org/MPL/
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* This software is distributed on an "AS IS" basis, WITHOUT WARRANTY
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* OF ANY KIND, either express or implied. See the LGPL or the MPL for
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* the specific language governing rights and limitations.
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#ifndef LIB2GEOM_SEEN_ANGLE_H
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#define LIB2GEOM_SEEN_ANGLE_H
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# define M_PI 3.14159265358979323846
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inline double deg_to_rad(double deg) { return deg*M_PI/180.0;}
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inline double rad_to_deg(double rad) { return rad*180.0/M_PI;}
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* start_angle and angle must belong to [0, 2PI[
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* and angle must belong to the cirsular arc defined by
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* start_angle, end_angle and with rotation direction cw
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double map_circular_arc_on_unit_interval( double angle, double start_angle, double end_angle, bool cw = true )
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double d = end_angle - start_angle;
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double t = angle - start_angle;
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d = std::fmod(d, 2*M_PI);
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t = std::fmod(t, 2*M_PI);
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if ( d < 0 ) d += 2*M_PI;
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if ( t < 0 ) t += 2*M_PI;
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Coord map_unit_interval_on_circular_arc(Coord t, double start_angle, double end_angle, bool cw = true)
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double sweep_angle = end_angle - start_angle;
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if ( !cw ) sweep_angle = -sweep_angle;
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sweep_angle = std::fmod(sweep_angle, 2*M_PI);
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if ( sweep_angle < 0 ) sweep_angle += 2*M_PI;
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Coord angle = start_angle;
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angle += sweep_angle * t;
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angle -= sweep_angle * t;
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angle = std::fmod(angle, 2*M_PI);
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if (angle < 0) angle += 2*M_PI;
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c-file-style:"stroustrup"
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c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +))
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