geometry_utils.cpp

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/*
 * This program source code file is part of KiCad, a free EDA CAD application.
 *
 * Copyright (C) 2018 Jean-Pierre Charras, jp.charras at wanadoo.fr
 * Copyright (C) 1992-2021 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
 */
 
#include <cstdint>
#include <algorithm> // for max, min
 
#include <geometry/geometry_utils.h>
#include <math/util.h> // for KiROUND
 
// To approximate a circle by segments, a minimal seg count is mandatory.
// Note that this is rarely used as the maxError constraint will yield a higher
// segment count on everything but very small circles. (Even a 0.125mm track
// with a 0.01mm maximum deviation yields 11 segments.)
#define MIN_SEGCOUNT_FOR_CIRCLE 8
 
int GetArcToSegmentCount( int aRadius, int aErrorMax, const EDA_ANGLE& aArcAngle )
{
 // calculate the number of segments to approximate a circle by segments
 // given the max distance between the middle of a segment and the circle
 
 // avoid divide-by-zero
 aRadius = std::max( 1, aRadius );
 aErrorMax = std::max( 1, aErrorMax );
 
 // error relative to the radius value:
 double rel_error = (double)aErrorMax / aRadius;
 // minimal arc increment in degrees:
 double arc_increment = 180 / M_PI * acos( 1.0 - rel_error ) * 2;
 
 // Ensure a minimal arc increment reasonable value for a circle
 // (360.0 degrees). For very small radius values, this is mandatory.
 arc_increment = std::min( 360.0/MIN_SEGCOUNT_FOR_CIRCLE, arc_increment );
 
 int segCount = KiROUND( fabs( aArcAngle.AsDegrees() ) / arc_increment );
 
 // Ensure at least two segments are used for algorithmic safety
 return std::max( segCount, 2 );
}
 
 
int CircleToEndSegmentDeltaRadius( int aRadius, int aSegCount )
{
 // The minimal seg count is 3, otherwise we cannot calculate the result
 // in practice, the min count is clamped to 8 in kicad
 if( aSegCount <= 2 )
 aSegCount = 3;
 
 // The angle between the center of the segment and one end of the segment
 // when the circle is approximated by aSegCount segments
 double alpha = M_PI / aSegCount;
 
 // aRadius is the radius of the circle tangent to the middle of each segment
 // and aRadius/cos(aplha) is the radius of the circle defined by seg ends
 int delta = KiROUND( std::abs( aRadius * ( 1 - 1/cos( alpha ) ) ) );
 
 return delta;
}
 
// When creating polygons to create a clearance polygonal area, the polygon must
// be same or bigger than the original shape.
// Polygons are bigger if the original shape has arcs (round rectangles, ovals,
// circles...). However, when building the solder mask layer modifying the shapes
// when converting them to polygons is not acceptable (the modification can break
// calculations).
// So one can disable the shape expansion within a particular scope by allocating
// a DISABLE_ARC_CORRECTION.
 
static bool s_disable_arc_correction = false;
 
DISABLE_ARC_RADIUS_CORRECTION::DISABLE_ARC_RADIUS_CORRECTION()
{
 s_disable_arc_correction = true;
}
 
DISABLE_ARC_RADIUS_CORRECTION::~DISABLE_ARC_RADIUS_CORRECTION()
{
 s_disable_arc_correction = false;
}
 
int GetCircleToPolyCorrection( int aMaxError )
{
 // Push all the error to the outside by increasing the radius
 return s_disable_arc_correction ? 0 : aMaxError;
}
 
 
/***
 * Utility for the line clipping code, returns the boundary code of
 * a point. Bit allocation is arbitrary
 */
inline int clipOutCode( const BOX2I *aClipBox, int x, int y )
{
 int code;
 
 if( y < aClipBox->GetY() )
 code = 2;
 else if( y > aClipBox->GetBottom() )
 code = 1;
 else
 code = 0;
 
 if( x < aClipBox->GetX() )
 code |= 4;
 else if( x > aClipBox->GetRight() )
 code |= 8;
 
 return code;
}
 
 
bool ClipLine( const BOX2I *aClipBox, int &x1, int &y1, int &x2, int &y2 )
{
 // Stock Cohen-Sutherland algorithm; check *any* CG book for details
 int outcode1 = clipOutCode( aClipBox, x1, y1 );
 int outcode2 = clipOutCode( aClipBox, x2, y2 );
 
 while( outcode1 || outcode2 )
 {
 // Fast reject
 if( outcode1 & outcode2 )
 return true;
 
 // Choose a side to clip
 int thisoutcode, x, y;
 
 if( outcode1 )
 thisoutcode = outcode1;
 else
 thisoutcode = outcode2;
 
 /* One clip round
 * Since we use the full range of 32 bit ints, the proportion
 * computation has to be done in 64 bits to avoid horrible
 * results */
 if( thisoutcode & 1 ) // Clip the bottom
 {
 y = aClipBox->GetBottom();
 x = x1 + (x2 - x1) * std::int64_t(y - y1) / (y2 - y1);
 }
 else if( thisoutcode & 2 ) // Clip the top
 {
 y = aClipBox->GetY();
 x = x1 + ( x2 - x1 ) * std::int64_t( y - y1 ) / ( y2 - y1 );
 }
 else if( thisoutcode & 8 ) // Clip the right
 {
 x = aClipBox->GetRight();
 y = y1 + ( y2 - y1 ) * std::int64_t( x - x1 ) / ( x2 - x1 );
 }
 else // if( thisoutcode & 4), obviously, clip the left
 {
 x = aClipBox->GetX();
 y = y1 + ( y2 - y1 ) * std::int64_t( x - x1 ) / ( x2 - x1 );
 }
 
 // Put the result back and update the boundary code
 // No ambiguity, otherwise it would have been a fast reject
 if( thisoutcode == outcode1 )
 {
 x1 = x;
 y1 = y;
 outcode1 = clipOutCode( aClipBox, x1, y1 );
 }
 else
 {
 x2 = x;
 y2 = y;
 outcode2 = clipOutCode( aClipBox, x2, y2 );
 }
 }
 
 return false;
}