/* * This program source code file is part of KiCad, a free EDA CAD application. * * Copyright (C) 2014-2019 KiCad Developers, see AUTHORS.txt for contributors. * * This program 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 2 * of the License, or (at your option) any later version. * * This program 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 this program; if not, you may find one here: * http://www.gnu.org/licenses/old-licenses/gpl-2.0.html * or you may search the http://www.gnu.org website for the version 2 license, * or you may write to the Free Software Foundation, Inc., * 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA */ /************************************/ /* routines to handle bezier curves */ /************************************/ #include BEZIER_POLY::BEZIER_POLY( const std::vector& aControlPoints ) { for( unsigned ii = 0; ii < aControlPoints.size(); ++ii ) m_ctrlPts.emplace_back( VECTOR2D( aControlPoints[ii] ) ); m_minSegLen = 0.0; } void BEZIER_POLY::GetPoly( std::vector& aOutput, int aMinSegLen ) { aOutput.clear(); std::vector buffer; GetPoly( buffer, double( aMinSegLen ) ); for( unsigned ii = 0; ii < buffer.size(); ++ii ) aOutput.emplace_back( wxPoint( int( buffer[ii].x ), int( buffer[ii].y ) ) ); } void BEZIER_POLY::GetPoly( std::vector& aOutput, double aMinSegLen ) { wxASSERT( m_ctrlPts.size() == 4 ); // FIXME Brute force method, use a better (recursive?) algorithm // with a max error value. // to optimize the number of segments #define CURVE_POINTS 32 double dt = 1.0 / CURVE_POINTS; aOutput.clear(); aOutput.push_back( m_ctrlPts[0] ); // If the Bezier curve is degenerated (straight line), skip intermediate points: bool degenerated = m_ctrlPts[0] == m_ctrlPts[1] && m_ctrlPts[2] == m_ctrlPts[3]; if( !degenerated ) { for( int ii = 1; ii < CURVE_POINTS; ii++ ) { double t = dt * ii; double omt = 1.0 - t; double omt2 = omt * omt; double omt3 = omt * omt2; double t2 = t * t; double t3 = t * t2; VECTOR2D vertex = omt3 * m_ctrlPts[0] + 3.0 * t * omt2 * m_ctrlPts[1] + 3.0 * t2 * omt * m_ctrlPts[2] + t3 * m_ctrlPts[3]; // a minimal filter on the lenght of the segment being created: // The offset from last point: VECTOR2D delta = vertex - aOutput.back(); double dist = delta.EuclideanNorm(); if( dist > aMinSegLen ) aOutput.push_back( vertex ); } } if( aOutput.back() != m_ctrlPts[3] ) aOutput.push_back( m_ctrlPts[3] ); }