158 lines
4.2 KiB
C++
158 lines
4.2 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) 2013 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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#include <geometry/seg.h>
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template <typename T>
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int sgn( T aVal )
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{
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return ( T( 0 ) < aVal ) - ( aVal < T( 0 ) );
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}
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bool SEG::PointCloserThan( const VECTOR2I& aP, int aDist ) const
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{
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VECTOR2I d = B - A;
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ecoord dist_sq = (ecoord) aDist * aDist;
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SEG::ecoord l_squared = d.Dot( d );
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SEG::ecoord t = d.Dot( aP - A );
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if( t <= 0 || !l_squared )
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return ( aP - A ).SquaredEuclideanNorm() < dist_sq;
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else if( t >= l_squared )
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return ( aP - B ).SquaredEuclideanNorm() < dist_sq;
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int dxdy = abs( d.x ) - abs( d.y );
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if( ( dxdy >= -1 && dxdy <= 1 ) || abs( d.x ) <= 1 || abs( d.y ) <= 1 )
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{
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int ca = -sgn( d.y );
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int cb = sgn( d.x );
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int cc = -ca * A.x - cb * A.y;
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ecoord num = ca * aP.x + cb * aP.y + cc;
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num *= num;
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if( ca && cb )
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num >>= 1;
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if( num > ( dist_sq + 100 ) )
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return false;
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else if( num < ( dist_sq - 100 ) )
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return true;
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}
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VECTOR2I nearest;
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nearest.x = A.x + rescale( t, (ecoord) d.x, l_squared );
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nearest.y = A.y + rescale( t, (ecoord) d.y, l_squared );
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return ( nearest - aP ).SquaredEuclideanNorm() <= dist_sq;
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}
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SEG::ecoord SEG::SquaredDistance( const SEG& aSeg ) const
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{
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// fixme: rather inefficient....
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if( Intersect( aSeg ) )
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return 0;
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const VECTOR2I pts[4] =
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{
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aSeg.NearestPoint( A ) - A,
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aSeg.NearestPoint( B ) - B,
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NearestPoint( aSeg.A ) - aSeg.A,
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NearestPoint( aSeg.B ) - aSeg.B
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};
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ecoord m = VECTOR2I::ECOORD_MAX;
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for( int i = 0; i < 4; i++ )
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m = std::min( m, pts[i].SquaredEuclideanNorm() );
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return m;
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}
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OPT_VECTOR2I SEG::Intersect( const SEG& aSeg, bool aIgnoreEndpoints, bool aLines ) const
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{
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const VECTOR2I e( B - A );
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const VECTOR2I f( aSeg.B - aSeg.A );
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const VECTOR2I ac( aSeg.A - A );
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ecoord d = f.Cross( e );
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ecoord p = f.Cross( ac );
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ecoord q = e.Cross( ac );
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if( d == 0 )
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return OPT_VECTOR2I();
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if( !aLines && d > 0 && ( q < 0 || q > d || p < 0 || p > d ) )
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return OPT_VECTOR2I();
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if( !aLines && d < 0 && ( q < d || p < d || p > 0 || q > 0 ) )
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return OPT_VECTOR2I();
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if( !aLines && aIgnoreEndpoints && ( q == 0 || q == d ) && ( p == 0 || p == d ) )
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return OPT_VECTOR2I();
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VECTOR2I ip( aSeg.A.x + rescale( q, (ecoord) f.x, d ),
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aSeg.A.y + rescale( q, (ecoord) f.y, d ) );
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return ip;
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}
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bool SEG::ccw( const VECTOR2I& aA, const VECTOR2I& aB, const VECTOR2I& aC ) const
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{
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return (ecoord) ( aC.y - aA.y ) * ( aB.x - aA.x ) > (ecoord) ( aB.y - aA.y ) * ( aC.x - aA.x );
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}
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bool SEG::Collide( const SEG& aSeg, int aClearance ) const
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{
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// check for intersection
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// fixme: move to a method
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if( ccw( A, aSeg.A, aSeg.B ) != ccw( B, aSeg.A, aSeg.B ) &&
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ccw( A, B, aSeg.A ) != ccw( A, B, aSeg.B ) )
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return true;
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#define CHK( _seg, _pt ) \
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if( (_seg).PointCloserThan( _pt, aClearance ) ) return true;
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CHK( *this, aSeg.A );
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CHK( *this, aSeg.B );
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CHK( aSeg, A );
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CHK( aSeg, B );
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#undef CHK
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return false;
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}
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bool SEG::Contains( const VECTOR2I& aP ) const
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{
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return PointCloserThan( aP, 1 );
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}
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