kicad/libs/kimath/include/geometry/geometry_utils.h

196 lines
6.6 KiB
C++

/*
* 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
*/
/**
* @file geometry_utils.h
* @brief a few functions useful in geometry calculations.
*/
#ifndef GEOMETRY_UTILS_H
#define GEOMETRY_UTILS_H
#include <math.h> // for copysign
#include <stdlib.h> // for abs
#include <math/box2.h>
#include <geometry/eda_angle.h>
/**
* When approximating an arc or circle, should the error be placed on the outside
* or inside of the curve? (Generally speaking filled shape errors go on the inside
* and knockout errors go on the outside. This preserves minimum clearances.)
*/
enum ERROR_LOC { ERROR_OUTSIDE = 0, ERROR_INSIDE };
/**
* @return the number of segments to approximate a arc by segments
* with a given max error (this number is >= 1)
* @param aRadius is the radius od the circle or arc
* @param aErrorMax is the max error
* This is the max distance between the middle of a segment and the circle.
* @param aArcAngleDegree is the arc angle
*/
int GetArcToSegmentCount( int aRadius, int aErrorMax, const EDA_ANGLE& aArcAngle );
/**
* @return the radius diffence of the circle defined by segments inside the circle
* and the radius of the circle tangent to the middle of segments (defined by
* segments outside this circle)
* @param aInnerCircleRadius is the radius of the circle tangent to the middle
* of segments
* @param aSegCount is the seg count to approximate the circle
*/
int CircleToEndSegmentDeltaRadius( int aInnerCircleRadius, int aSegCount );
/**
* 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.
*/
class DISABLE_ARC_RADIUS_CORRECTION
{
public:
DISABLE_ARC_RADIUS_CORRECTION();
~DISABLE_ARC_RADIUS_CORRECTION();
};
/**
* @return the radius correction to approximate a circle.
* @param aMaxError is the same error value used to calculate the number of segments.
*
* When creating a polygon from a circle, the polygon is inside the circle.
* Only corners are on the circle.
* This is incorrect when building clearance areas of circles, that need to build
* the equivalent polygon outside the circle.
*/
int GetCircleToPolyCorrection( int aMaxError );
/**
* Snap a vector onto the nearest 0, 45 or 90 degree line.
*
* The magnitude of the vector is NOT kept, instead the coordinates are
* set equal (and/or opposite) or to zero as needed. The effect of this is
* that if the starting vector is on a square grid, the resulting snapped
* vector will still be on the same grid.
* @param a vector to be snapped
* @return the snapped vector
*/
template<typename T>
VECTOR2<T> GetVectorSnapped45( const VECTOR2<T>& aVec, bool only45 = false )
{
using ext_type = typename VECTOR2<T>::extended_type;
auto newVec = aVec;
const VECTOR2<T> absVec{ std::abs( aVec.x ), std::abs( aVec.y ) };
if( !only45 && absVec.x > ext_type( absVec.y ) * 2 )
{
// snap along x-axis
newVec.y = 0;
}
else if( !only45 && absVec.y > ext_type( absVec.x ) * 2 )
{
// snap onto y-axis
newVec.x = 0;
}
else if( absVec.x > absVec.y )
{
// snap away from x-axis towards 45
newVec.y = std::copysign( aVec.x, aVec.y );
}
else
{
// snap away from y-axis towards 45
newVec.x = std::copysign( aVec.y, aVec.x );
}
return newVec;
}
/**
* Clamps a vector to values that can be negated, respecting numeric limits
* of coordinates data type with specified padding.
*
* Numeric limits are (-2^31 + 1) to (2^31 - 1).
*
* Takes care of rounding in case of floating point to integer conversion.
*
* @param aCoord - vector to clamp.
* @param aPadding - padding from the limits. Must not be negative.
* @return clamped vector.
*/
template <typename in_type, typename ret_type = in_type, typename pad_type = unsigned int,
typename = typename std::enable_if<std::is_unsigned<pad_type>::value>::type>
VECTOR2<ret_type> GetClampedCoords( const VECTOR2<in_type>& aCoords, pad_type aPadding = 1u )
{
typedef std::numeric_limits<int32_t> coord_limits;
long long max = static_cast<long long>( coord_limits::max() ) - aPadding;
long long min = -max;
in_type x = aCoords.x;
in_type y = aCoords.y;
if( x < min )
x = in_type( min );
else if( x > max )
x = in_type( max );
if( y < min )
y = in_type( min );
else if( y > max )
y = in_type( max );
if( !std::is_integral<in_type>() && std::is_integral<ret_type>() )
return VECTOR2<ret_type>( KiROUND( x ), KiROUND( y ) );
return VECTOR2<ret_type>( x, y );
}
/**
* Test if any part of a line falls within the bounds of a rectangle.
*
* Please note that this is only accurate for lines that are one pixel wide.
*
* @param aClipBox - The rectangle to test.
* @param x1 - X coordinate of one end of a line.
* @param y1 - Y coordinate of one end of a line.
* @param x2 - X coordinate of the other end of a line.
* @param y2 - Y coordinate of the other end of a line.
*
* @return - False if any part of the line lies within the rectangle.
*/
bool ClipLine( const BOX2I *aClipBox, int &x1, int &y1, int &x2, int &y2 );
#endif // #ifndef GEOMETRY_UTILS_H