/* * 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 // for copysign #include // for abs #include #include /** * 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 VECTOR2 GetVectorSnapped45( const VECTOR2& aVec, bool only45 = false ) { using ext_type = typename VECTOR2::extended_type; auto newVec = aVec; const VECTOR2 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 ::value>::type> VECTOR2 GetClampedCoords( const VECTOR2& aCoords, pad_type aPadding = 1u ) { typedef std::numeric_limits coord_limits; long long max = static_cast( 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() && std::is_integral() ) return VECTOR2( KiROUND( x ), KiROUND( y ) ); return VECTOR2( 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