510 lines
13 KiB
C++
510 lines
13 KiB
C++
/*
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* This program source code file is part of KICAD, a free EDA CAD application.
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*
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* Copyright (C) 2016-2017 CERN
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* @author Tomasz Wlostowski <tomasz.wlostowski@cern.ch>
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*
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* This program is free software; you can redistribute it and/or
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* modify it under the terms of the GNU General Public License
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* as published by the Free Software Foundation; either version 2
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* of the License, or (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, you may find one here:
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* http://www.gnu.org/licenses/old-licenses/gpl-2.0.html
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* or you may search the http://www.gnu.org website for the version 2 license,
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* or you may write to the Free Software Foundation, Inc.,
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* 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA
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*/
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#ifndef __POLY_GRID_PARTITION_H
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#define __POLY_GRID_PARTITION_H
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#include <geometry/seg.h>
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#include <geometry/shape_line_chain.h>
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#include <geometry/shape_rect.h>
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#include <vector>
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#include <algorithm>
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#include <unordered_map>
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#include <set>
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/**
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* Class POLY_GRID_PARTITION
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*
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* Provides a fast test for point inside polygon by splitting the edges
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* of the polygon into a rectangular grid.
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*/
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class POLY_GRID_PARTITION
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{
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private:
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enum HASH_FLAG
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{
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LEAD_H = 1,
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LEAD_V = 2,
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TRAIL_H = 4,
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TRAIL_V = 8
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};
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using EDGE_LIST = std::vector<int>;
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template <class T>
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inline void hash_combine( std::size_t& seed, const T& v )
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{
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std::hash<T> hasher;
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seed ^= hasher( v ) + 0x9e3779b9 + (seed << 6) + (seed >> 2);
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}
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struct segsEqual
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{
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bool operator()( const SEG& a, const SEG& b ) const
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{
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return (a.A == b.A && a.B == b.B) || (a.A == b.B && a.B == b.A);
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}
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};
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struct segHash
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{
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std::size_t operator()( const SEG& a ) const
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{
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return a.A.x + a.B.x + a.A.y + a.B.y;
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}
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};
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const VECTOR2I grid2poly( const VECTOR2I& p ) const
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{
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int px = rescale( p.x, m_bbox.GetWidth(), m_gridSize ) + m_bbox.GetPosition().x;
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int py = rescale( p.y, m_bbox.GetHeight(), m_gridSize ) + m_bbox.GetPosition().y; // (int) floor( (double) p.y / m_gridSize * (double) m_bbox.GetHeight() + m_bbox.GetPosition().y );
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return VECTOR2I( px, py );
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}
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void stupid_test() const
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{
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for(int i = 0; i < 16;i++)
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assert( poly2gridX(grid2polyX(i)) == i);
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}
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int grid2polyX( int x ) const
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{
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return rescale( x, m_bbox.GetWidth(), m_gridSize ) + m_bbox.GetPosition().x;
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}
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int grid2polyY( int y ) const
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{
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return rescale( y, m_bbox.GetHeight(), m_gridSize ) + m_bbox.GetPosition().y;
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}
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const VECTOR2I poly2grid( const VECTOR2I& p ) const
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{
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int px = rescale( p.x - m_bbox.GetPosition().x, m_gridSize, m_bbox.GetWidth() );
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int py = rescale( p.y - m_bbox.GetPosition().y, m_gridSize, m_bbox.GetHeight() );
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if( px < 0 )
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px = 0;
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if( px >= m_gridSize )
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px = m_gridSize - 1;
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if( py < 0 )
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py = 0;
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if( py >= m_gridSize )
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py = m_gridSize - 1;
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return VECTOR2I( px, py );
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}
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int poly2gridX( int x ) const
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{
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int px = rescale( x - m_bbox.GetPosition().x, m_gridSize, m_bbox.GetWidth() );
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if( px < 0 )
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px = 0;
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if( px >= m_gridSize )
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px = m_gridSize - 1;
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return px;
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}
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int poly2gridY( int y ) const
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{
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int py = rescale( y - m_bbox.GetPosition().y, m_gridSize, m_bbox.GetHeight() );
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if( py < 0 )
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py = 0;
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if( py >= m_gridSize )
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py = m_gridSize - 1;
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return py;
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}
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void build( const SHAPE_LINE_CHAIN& aPolyOutline, int gridSize )
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{
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m_outline = aPolyOutline;
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//if (orientation(m_outline) < 0)
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// m_outline = m_outline.Reverse();
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m_bbox = m_outline.BBox();
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m_gridSize = gridSize;
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m_outline.SetClosed( true );
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m_grid.reserve( gridSize * gridSize );
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for( int y = 0; y < gridSize; y++ )
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{
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for( int x = 0; x < gridSize; x++ )
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{
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m_grid.emplace_back( );
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}
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}
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VECTOR2I ref_v( 0, 1 );
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VECTOR2I ref_h( 0, 1 );
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m_flags.reserve( m_outline.SegmentCount() );
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std::unordered_map<SEG, int, segHash, segsEqual> edgeSet;
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for( int i = 0; i<m_outline.SegmentCount(); i++ )
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{
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SEG edge = m_outline.Segment( i );
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if( edgeSet.find( edge ) == edgeSet.end() )
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{
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edgeSet[edge] = 1;
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}
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else
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{
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edgeSet[edge]++;
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}
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}
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for( int i = 0; i<m_outline.SegmentCount(); i++ )
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{
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auto edge = m_outline.Segment( i );
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auto dir = edge.B - edge.A;
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int flags = 0;
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if ( dir.y == 0 )
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{
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flags = 0;
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}
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else if( edgeSet[edge] == 1 )
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{
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if( dir.Dot( ref_h ) < 0 )
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{
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flags |= LEAD_H;
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}
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else if( dir.Dot( ref_h ) > 0 )
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{
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flags |= TRAIL_H;
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}
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}
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m_flags.push_back( flags );
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if( edge.A.y == edge.B.y )
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continue;
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std::set<int> indices;
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indices.insert( m_gridSize * poly2gridY( edge.A.y ) + poly2gridX( edge.A.x ) );
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indices.insert( m_gridSize * poly2gridY( edge.B.y ) + poly2gridX( edge.B.x ) );
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if( edge.A.x > edge.B.x )
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std::swap( edge.A, edge.B );
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dir = edge.B - edge.A;
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if( dir.x != 0 )
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{
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int gx0 = poly2gridX( edge.A.x );
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int gx1 = poly2gridX( edge.B.x );
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for( int x = gx0; x <= gx1; x++ )
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{
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int px = grid2polyX( x );
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int py = ( edge.A.y + rescale( dir.y, px - edge.A.x, dir.x ) );
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int yy = poly2gridY( py );
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indices.insert( m_gridSize * yy + x );
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if( x > 0 )
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indices.insert( m_gridSize * yy + x - 1 );
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}
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}
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if( edge.A.y > edge.B.y )
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std::swap( edge.A, edge.B );
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dir = edge.B - edge.A;
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if( dir.y != 0 )
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{
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int gy0 = poly2gridY( edge.A.y );
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int gy1 = poly2gridY( edge.B.y );
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for( int y = gy0; y <= gy1; y++ )
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{
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int py = grid2polyY( y );
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int px = ( edge.A.x + rescale( dir.x, py - edge.A.y, dir.y ) );
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int xx = poly2gridX( px );
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indices.insert( m_gridSize * y + xx );
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if( y > 0 )
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indices.insert( m_gridSize * (y - 1) + xx );
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}
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}
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for( auto idx : indices )
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m_grid[idx].push_back( i );
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}
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}
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bool inRange( int v1, int v2, int x ) const
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{
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if( v1 < v2 )
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{
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return x >= v1 && x <= v2;
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}
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return x >= v2 && x <= v1;
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}
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struct SCAN_STATE
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{
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SCAN_STATE()
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{
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dist_prev = INT_MAX;
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dist_max = INT_MAX;
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nearest = -1;
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nearest_prev = -1;
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};
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int dist_prev;
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int dist_max;
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int nearest_prev;
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int nearest;
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};
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void scanCell( SCAN_STATE& state, const EDGE_LIST& cell, const VECTOR2I& aP, int cx, int cy ) const
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{
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int cx0 = grid2polyX(cx);
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int cx1 = grid2polyX(cx + 1);
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for( auto index : cell )
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{
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const SEG& edge = m_outline.CSegment( index );
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if( m_flags[index] == 0 )
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{
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if ( aP.y == edge.A.y && inRange( edge.A.x, edge.B.x, aP.x ) ) // we belong to the outline
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{
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state.nearest = index;
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state.dist_max = 0;
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return;
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} else {
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continue;
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}
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}
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if( inRange( edge.A.y, edge.B.y, aP.y ) )
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{
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int dist = 0;
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int x0;
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if( edge.A.y == aP.y )
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{
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x0 = edge.A.x;
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}
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else if( edge.B.y == aP.y )
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{
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x0 = edge.B.x;
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}
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else
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{
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x0 = edge.A.x + rescale( ( edge.B.x - edge.A.x ), (aP.y - edge.A.y), (edge.B.y - edge.A.y ) );
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}
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if( x0 < cx0 || x0 > cx1 )
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{
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continue;
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}
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dist = aP.x - x0;
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if( dist == 0 )
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{
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if( state.nearest_prev < 0 || state.nearest != index )
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{
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state.dist_prev = state.dist_max;
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state.nearest_prev = state.nearest;
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}
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state.nearest = index;
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state.dist_max = 0;
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return;
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}
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if( dist != 0 && std::abs( dist ) <= std::abs( state.dist_max ) )
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{
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if( state.nearest_prev < 0 || state.nearest != index )
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{
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state.dist_prev = state.dist_max;
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state.nearest_prev = state.nearest;
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}
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state.dist_max = dist;
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state.nearest = index;
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}
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}
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}
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}
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public:
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POLY_GRID_PARTITION( const SHAPE_LINE_CHAIN& aPolyOutline, int gridSize )
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{
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build( aPolyOutline, gridSize );
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}
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int containsPoint( const VECTOR2I& aP, bool debug = false ) const
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{
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const auto gridPoint = poly2grid( aP );
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if( !m_bbox.Contains( aP ) )
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return 0;
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SCAN_STATE state;
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const EDGE_LIST& cell = m_grid[ m_gridSize * gridPoint.y + gridPoint.x ];
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scanCell( state, cell, aP, gridPoint.x, gridPoint.y );
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if( state.nearest < 0 )
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{
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state = SCAN_STATE();
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for( int d = 1; d <= m_gridSize; d++ )
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{
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int xl = gridPoint.x - d;
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int xh = gridPoint.x + d;
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if( xl >= 0 )
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{
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const EDGE_LIST& cell2 = m_grid[ m_gridSize * gridPoint.y + xl ];
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scanCell( state, cell2, aP, xl, gridPoint.y );
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if( state.nearest >= 0 )
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break;
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}
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if( xh < m_gridSize )
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{
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const EDGE_LIST& cell2 = m_grid[ m_gridSize * gridPoint.y + xh ];
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scanCell( state, cell2, aP, xh, gridPoint.y );
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if( state.nearest >= 0 )
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break;
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}
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}
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}
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if( state.nearest < 0 )
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return 0;
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if( state.dist_max == 0 )
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return 1;
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// special case for diagonal 'slits', e.g. two segments that partially overlap each other.
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if( state.nearest_prev >= 0 && state.dist_max == state.dist_prev )
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{
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int d = std::abs( state.nearest_prev - state.nearest );
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if( (d == 1) && ( (m_flags[state.nearest_prev] & m_flags[state.nearest]) == 0 ) )
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{
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return 0;
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}
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}
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if( state.dist_max > 0 )
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{
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return m_flags[state.nearest] & LEAD_H ? 1 : 0;
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}
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else
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{
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return m_flags[state.nearest] & TRAIL_H ? 1 : 0;
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}
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}
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bool checkClearance( const VECTOR2I& aP, int aClearance )
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{
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int gx0 = poly2gridX( aP.x - aClearance - 1);
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int gx1 = poly2gridX( aP.x + aClearance + 1);
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int gy0 = poly2gridY( aP.y - aClearance - 1);
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int gy1 = poly2gridY( aP.y + aClearance + 1);
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using ecoord = VECTOR2I::extended_type;
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ecoord dist = (ecoord) aClearance * aClearance;
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for ( int gx = gx0; gx <= gx1; gx++ )
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{
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for ( int gy = gy0; gy <= gy1; gy++ )
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{
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const auto& cell = m_grid [ m_gridSize * gy + gx];
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for ( auto index : cell )
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{
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const auto& seg = m_outline.Segment( index );
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if ( seg.SquaredDistance(aP) <= dist )
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return true;
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}
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}
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}
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return false;
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}
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int ContainsPoint( const VECTOR2I& aP, int aClearance = 0 ) // const
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{
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if( containsPoint(aP) )
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return 1;
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if( aClearance > 0 )
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return checkClearance ( aP, aClearance );
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return 0;
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}
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const BOX2I& BBox() const
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{
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return m_bbox;
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}
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private:
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int m_gridSize;
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SHAPE_LINE_CHAIN m_outline;
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BOX2I m_bbox;
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std::vector<int> m_flags;
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std::vector<EDGE_LIST> m_grid;
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};
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#endif
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