test_shape_arc.cpp

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/*
 * This program source code file is part of KiCad, a free EDA CAD application.
 *
 * Copyright (C) 2018-2020 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 <convert_basic_shapes_to_polygon.h>
#include <geometry/shape_arc.h>
 
#include <geometry/shape_line_chain.h>
 
#include <qa_utils/geometry/geometry.h>
#include <qa_utils/numeric.h>
#include <qa_utils/wx_utils/unit_test_utils.h>
 
#include "geom_test_utils.h"
 
BOOST_AUTO_TEST_SUITE( ShapeArc )
 
 
struct ARC_PROPERTIES
{
    VECTOR2I m_center_point;
    VECTOR2I m_start_point;
    VECTOR2I m_end_point;
    double   m_center_angle;
    double   m_start_angle;
    double   m_end_angle;
    int      m_radius;
    BOX2I    m_bbox;
};
 
static void CheckArcGeom( const SHAPE_ARC& aArc, const ARC_PROPERTIES& aProps, const int aSynErrIU = 1 )
{
    // Angular error - note this can get quite large for very small arcs,
    // as the integral position rounding has a relatively greater effect
    const double angle_tol_deg = 1.0;
 
    // Position error - rounding to nearest integer
    const int pos_tol = 1;
 
    BOOST_CHECK_PREDICATE( KI_TEST::IsVecWithinTol<VECTOR2I>,
            ( aProps.m_start_point )( aProps.m_start_point )( pos_tol ) );
 
    BOOST_CHECK_PREDICATE( KI_TEST::IsVecWithinTol<VECTOR2I>,
            ( aArc.GetP1() )( aProps.m_end_point )( pos_tol ) );
 
    BOOST_CHECK_PREDICATE( KI_TEST::IsVecWithinTol<VECTOR2I>,
            ( aArc.GetCenter() )( aProps.m_center_point )( aSynErrIU ) );
 
    BOOST_CHECK_PREDICATE( KI_TEST::IsWithinWrapped<double>,
            ( aArc.GetCentralAngle().AsDegrees() )( aProps.m_center_angle )( 360.0 )( angle_tol_deg ) );
 
    BOOST_CHECK_PREDICATE( KI_TEST::IsWithinWrapped<double>,
            ( aArc.GetStartAngle().AsDegrees() )( aProps.m_start_angle )( 360.0 )( angle_tol_deg ) );
 
    BOOST_CHECK_PREDICATE( KI_TEST::IsWithinWrapped<double>,
            ( aArc.GetEndAngle().AsDegrees() )( aProps.m_end_angle )( 360.0 )( angle_tol_deg ) );
 
    BOOST_CHECK_PREDICATE( KI_TEST::IsWithin<double>,
            ( aArc.GetRadius() )( aProps.m_radius )( aSynErrIU ) );
 
    const auto chord = aArc.GetChord();
 
    BOOST_CHECK_PREDICATE( KI_TEST::IsVecWithinTol<VECTOR2I>,
            ( chord.A )( aProps.m_start_point )( pos_tol ) );
 
    BOOST_CHECK_PREDICATE( KI_TEST::IsVecWithinTol<VECTOR2I>,
            ( chord.B )( aProps.m_end_point )( pos_tol ) );
 
    BOOST_CHECK_EQUAL( aArc.IsSolid(), true );
 
    BOOST_CHECK_PREDICATE( KI_TEST::IsBoxWithinTol<BOX2I>,
            ( aArc.BBox() )( aProps.m_bbox )( pos_tol ) );
 
}
 
 
static void CheckArc( const SHAPE_ARC& aArc, const ARC_PROPERTIES& aProps, const int aSynErrIU = 1 )
{
    // Check the original arc
    CheckArcGeom( aArc, aProps, aSynErrIU );
 
    // Test the Clone function (also tests copy-ctor)
    std::unique_ptr<SHAPE> new_shape{ aArc.Clone() };
 
    BOOST_CHECK_EQUAL( new_shape->Type(), SH_ARC );
 
    SHAPE_ARC* new_arc = dynamic_cast<SHAPE_ARC*>( new_shape.get() );
 
    BOOST_REQUIRE( new_arc != nullptr );
 
    CheckArcGeom( *new_arc, aProps, aSynErrIU );
}
 
BOOST_AUTO_TEST_CASE( NullCtor )
{
    auto arc = SHAPE_ARC();
 
    BOOST_CHECK_EQUAL( arc.GetWidth(), 0 );
 
    static ARC_PROPERTIES null_props{
        { 0, 0 },
        { 0, 0 },
        { 0, 0 },
        0,
        0,
        0,
        0,
    };
 
    CheckArc( arc, null_props );
}
 
 
struct ARC_CENTRE_PT_ANGLE
{
    VECTOR2I m_center_point;
    VECTOR2I m_start_point;
    double   m_center_angle;
};
 
 
struct ARC_CPA_CASE
{
    std::string m_ctx_name;
 
    ARC_CENTRE_PT_ANGLE m_geom;
 
    int m_width;
 
    ARC_PROPERTIES m_properties;
};
 
 
static const std::vector<ARC_CPA_CASE> arc_cases = {
    {
            "C(0,0) 114 + 360 degree",
            {
                    { 0, 0 },
                    { -306451, 687368 },
                    360,
            },
            0,
            {
                    { 0, 0 },
                    { -306451, 687368 },
                    { -306451, 687368 },
                    360,
                    113.95929,
                    113.95929,
                    752587,
                    { { -752587, -752587 }, { 1505174, 1505174 } },
            },
    },
    {
            "C(0,0) 180 + 360 degree",
            {
                    { 0, 0 },
                    { -100, 0 },
                    360,
            },
            0,
            {
                    { 0, 0 },
                    { -100, 0 },
                    { -100, 0 },
                    360,
                    180,
                    180,
                    100,
                    { { -100, -100 }, { 200, 200 } },
            },
    },
    {
            "C(0,0) 180 + 90 degree",
            {
                    { 0, 0 },
                    { -100, 0 },
                    90,
            },
            0,
            {
                    { 0, 0 },
                    { -100, 0 },
                    { 0, -100 },
                    90,
                    180,
                    270,
                    100,
                    { { -100, -100 }, { 100, 100 } },
            },
    },
    {
            "C(100,200)  0 - 30 degree",
            {
                    { 100, 200 },
                    { 300, 200 },
                    -30,
            },
            0,
            {
                    { 100, 200 },
                    { 300, 200 },
                    { 273, 100 }, // 200 * sin(30) = 100, 200* cos(30) = 173
                    -30,
                    0,
                    330,
                    200,
                    { { 273, 100 }, { 27, 100 } },
            },
    },
    {
            // This is a "fan shape" which includes the top quadrant point,
            // so it exercises the bounding box code (centre and end points
            // do not contain the top quadrant)
            "C(0,0) 30 + 120 degree",
            {
                    { 0, 0 },
                    { 17320, 10000 },
                    120,
            },
            0,
            {
                    { 0, 0 },
                    { 17320, 10000 },
                    { -17320, 10000 }, // 200 * sin(30) = 100, 200* cos(30) = 173
                    120,
                    30,
                    150,
                    20000,
                    // bbox defined by: centre, top quadrant point, two endpoints
                    { { -17320, 10000 }, { 17320 * 2, 10000 } },
            },
    },
    {
            // An arc that covers three quadrant points (L/R, bottom)
            "C(0,0) 150 + 240 degree",
            {
                    { 0, 0 },
                    { -17320, 10000 },
                    240,
            },
            0,
            {
                    { 0, 0 },
                    { -17320, 10000 },
                    { 17320, 10000 },
                    240,
                    150,
                    30,
                    20000,
                    // bbox defined by: L/R quads, bottom quad and start/end
                    { { -20000, -20000 }, { 40000, 30000 } },
            },
    },
    {
            // Same as above but reverse direction
            "C(0,0) 30 - 300 degree",
            {
                    { 0, 0 },
                    { 17320, 10000 },
                    -240,
            },
            0,
            {
                    { 0, 0 },
                    { 17320, 10000 },
                    { -17320, 10000 },
                    -240,
                    30,
                    150,
                    20000,
                    // bbox defined by: L/R quads, bottom quad and start/end
                    { { -20000, -20000 }, { 40000, 30000 } },
            },
    },
};
 
 
BOOST_AUTO_TEST_CASE( BasicCPAGeom )
{
    for( const auto& c : arc_cases )
    {
        BOOST_TEST_CONTEXT( c.m_ctx_name )
        {
 
            const auto this_arc = SHAPE_ARC{ c.m_geom.m_center_point, c.m_geom.m_start_point,
                                             EDA_ANGLE( c.m_geom.m_center_angle, DEGREES_T ),
                                             c.m_width };
 
            CheckArc( this_arc, c.m_properties );
        }
    }
}
 
 
 
struct ARC_TAN_TAN_RADIUS
{
    SEG m_segment_1;
    SEG m_segment_2;
    int m_radius;
};
 
 
struct ARC_TTR_CASE
{
    std::string m_ctx_name;
 
    ARC_TAN_TAN_RADIUS m_geom;
 
    int m_width;
 
    ARC_PROPERTIES m_properties;
};
 
 
static const std::vector<ARC_TTR_CASE> arc_ttr_cases = {
    {
            "90 degree segments intersecting",
            {
                    { 0, 0, 0, 1000 },
                    { 0, 0, 1000, 0 },
                    1000,
            },
            0,
            {
                    { 1000, 1000 },
                    { 0, 1000 },    //start on first segment
                    { 1000, 0 },    //end on second segment
                    90,             //positive angle due to start/end
                    180,
                    270,
                    1000,
                    { { 0, 0 }, { 1000, 1000 } },
            }
    },
    {
            "45 degree segments intersecting",
            {
                    { 0, 0, 0, 1000 },
                    { 0, 0, 1000, 1000 },
                    1000,
            },
            0,
            {
                    { 1000, 2414 },
                    { 0, 2414 },       //start on first segment
                    { 1707, 1707 },    //end on second segment
                    135,               //positive angle due to start/end
                    180,
                    225,
                    1000,
                    { { 0, 1414 }, { 1707, 1000 } },
            }
    },
    {
            "135 degree segments intersecting",
            {
                    { 0, 0, 0, 1000 },
                    { 0, 0, 1000, -1000 },
                    1000,
            },
            0,
            {
                    { 1000, 414 },
                    { 0, 414 },       //start on first segment ( radius * tan(45 /2) )
                    { 293, -293 },    //end on second segment (radius * 1-cos(45)) )
                    45,               //positive angle due to start/end
                    180,
                    225,
                    1000,
                    { { 0, -293 }, { 293, 707 } },
            }
    }
 
 
};
 
 
BOOST_AUTO_TEST_CASE( BasicTTRGeom )
{
    for( const auto& c : arc_ttr_cases )
    {
        BOOST_TEST_CONTEXT( c.m_ctx_name )
        {
            for( int testCase = 0; testCase < 8; ++testCase )
            {
                SEG            seg1  = c.m_geom.m_segment_1;
                SEG            seg2  = c.m_geom.m_segment_2;
                ARC_PROPERTIES props = c.m_properties;
 
                if( testCase > 3 )
                {
                    //Swap input segments.
                    seg1 = c.m_geom.m_segment_2;
                    seg2 = c.m_geom.m_segment_1;
 
                    //The result should swap start and end points and invert the angles:
                    props.m_end_point    = c.m_properties.m_start_point;
                    props.m_start_point  = c.m_properties.m_end_point;
                    props.m_start_angle  = c.m_properties.m_end_angle;
                    props.m_end_angle    = c.m_properties.m_start_angle;
                    props.m_center_angle = -c.m_properties.m_center_angle;
                }
 
                //Test all combinations of start and end points for the segments
                if( ( testCase % 4 ) == 1 || ( testCase % 4 ) == 3 )
                {
                    //Swap start and end points for seg1
                    VECTOR2I temp = seg1.A;
                    seg1.A = seg1.B;
                    seg1.B = temp;
                }
 
                if( ( testCase % 4 ) == 2 || ( testCase % 4 ) == 3 )
                {
                    //Swap start and end points for seg2
                    VECTOR2I temp = seg2.A;
                    seg2.A        = seg2.B;
                    seg2.B        = temp;
                }
 
                const auto this_arc = SHAPE_ARC{ seg1, seg2,
                    c.m_geom.m_radius, c.m_width };
 
                // Error of 4 IU permitted for the center and radius calculation
                CheckArc( this_arc, props, SHAPE_ARC::MIN_PRECISION_IU );
            }
        }
    }
}
 
 
struct ARC_START_END_CENTER
{
    VECTOR2I m_start;
    VECTOR2I m_end;
    VECTOR2I m_center;
};
 
 
struct ARC_SEC_CASE
{
    std::string m_ctx_name;
 
    ARC_START_END_CENTER m_geom;
 
    bool m_clockwise;
 
    VECTOR2I m_expected_mid;
};
 
 
 
static const std::vector<ARC_SEC_CASE> arc_sec_cases = {
    { "180 deg, clockwise", { { 100, 0 }, { 0, 0 }, { 50, 0 } }, true, { 50, -50 } },
    { "180 deg, anticlockwise", { { 100, 0 }, { 0, 0 }, { 50, 0 } }, false, { 50, 50 } },
    { "180 deg flipped, clockwise", { { 0, 0 }, { 100, 0 }, { 50, 0 } }, true, { 50, 50 } },
    { "180 deg flipped, anticlockwise", { { 0, 0 }, { 100, 0 }, { 50, 0 } }, false, { 50, -50 } },
    { "90 deg, clockwise", { { -100, 0 }, { 0, 100 }, { 0, 0 } }, true, { -71, 71 } },
    { "90 deg, anticlockwise", { { -100, 0 }, { 0, 100 }, { 0, 0 } }, false, { 71, -71 } },
};
 
 
BOOST_AUTO_TEST_CASE( BasicSECGeom )
{
    for( const auto& c : arc_sec_cases )
    {
        BOOST_TEST_CONTEXT( c.m_ctx_name )
        {
            VECTOR2I start = c.m_geom.m_start;
            VECTOR2I end = c.m_geom.m_end;
            VECTOR2I center = c.m_geom.m_center;
            bool     cw = c.m_clockwise;
 
            SHAPE_ARC this_arc;
            this_arc.ConstructFromStartEndCenter( start, end, center, cw );
 
            BOOST_CHECK_EQUAL( this_arc.GetArcMid(), c.m_expected_mid );
        }
    }
}
 
 
struct ARC_PT_COLLIDE_CASE
{
    std::string         m_ctx_name;
    ARC_CENTRE_PT_ANGLE m_geom;
    int                 m_arc_clearance;
    VECTOR2I            m_point;
    bool                m_exp_result;
    int                 m_exp_distance;
};
 
 
static const std::vector<ARC_PT_COLLIDE_CASE> arc_pt_collide_cases = {
    { " 270deg, 0 cl, 0   deg    ", { { 0, 0 }, { 100, 0 }, 270.0 }, 0, { 100, 0 }, true, 0 },
    { " 270deg, 0 cl, 90  deg    ", { { 0, 0 }, { 100, 0 },  270.0 }, 0, { 0, 100 }, true, 0 },
    { " 270deg, 0 cl, 180 deg    ", { { 0, 0 }, { 100, 0 },  270.0 }, 0, { -100, 0 }, true, 0 },
    { " 270deg, 0 cl, 270 deg    ", { { 0, 0 }, { 100, 0 },  270.0 }, 0, { 0, -100 }, true, 0 },
    { " 270deg, 0 cl, 45  deg    ", { { 0, 0 }, { 100, 0 },  270.0 }, 0, { 71, 71 }, true, 0 },
    { " 270deg, 0 cl, -45 deg    ", { { 0, 0 }, { 100, 0 },  270.0 }, 0, { 71, -71 }, false, -1 },
    { "-270deg, 0 cl, 0   deg    ", { { 0, 0 }, { 100, 0 }, -270.0 }, 0, { 100, 0 }, true, 0 },
    { "-270deg, 0 cl, 90  deg    ", { { 0, 0 }, { 100, 0 }, -270.0 }, 0, { 0, 100 }, true, 0 },
    { "-270deg, 0 cl, 180 deg    ", { { 0, 0 }, { 100, 0 }, -270.0 }, 0, { -100, 0 }, true, 0 },
    { "-270deg, 0 cl, 270 deg    ", { { 0, 0 }, { 100, 0 }, -270.0 }, 0, { 0, -100 }, true, 0 },
    { "-270deg, 0 cl, 45  deg    ", { { 0, 0 }, { 100, 0 }, -270.0 }, 0, { 71, 71 }, false, -1 },
    { "-270deg, 0 cl, -45 deg    ", { { 0, 0 }, { 100, 0 }, -270.0 }, 0, { 71, -71 }, true, 0 },
    { " 270deg, 5 cl, 0   deg, 5 pos X", { { 0, 0 }, { 100, 0 },  270.0 }, 5, { 105, 0 }, true, 5 },
    { " 270deg, 5 cl, 0  deg, 5 pos Y", { { 0, 0 }, { 100, 0 },  270.0 }, 5, { 100, -5 }, true, 5 },
    { " 270deg, 5 cl, 90  deg, 5 pos", { { 0, 0 }, { 100, 0 },  270.0 }, 5, { 0, 105 }, true, 5 },
    { " 270deg, 5 cl, 180 deg, 5 pos", { { 0, 0 }, { 100, 0 },  270.0 }, 5, { -105, 0 }, true, 5 },
    { " 270deg, 5 cl, 270 deg, 5 pos", { { 0, 0 }, { 100, 0 },  270.0 }, 5, { 0, -105 }, true, 5 },
    { " 270deg, 5 cl, 0   deg, 5 neg", { { 0, 0 }, { 100, 0 },  270.0 }, 5, { 105, 0 }, true, 5 },
    { " 270deg, 5 cl, 90  deg, 5 neg", { { 0, 0 }, { 100, 0 },  270.0 }, 5, { 0, 105 }, true, 5 },
    { " 270deg, 5 cl, 180 deg, 5 neg", { { 0, 0 }, { 100, 0 },  270.0 }, 5, { -105, 0 }, true, 5 },
    { " 270deg, 5 cl, 270 deg, 5 neg", { { 0, 0 }, { 100, 0 },  270.0 }, 5, { 0, -105 }, true, 5 },
    { " 270deg, 5 cl, 45  deg, 5 pos", { { 0, 0 }, { 100, 0 },  270.0 }, 5, { 74, 75 }, true, 5 }, // 74.246, -74.246
    { " 270deg, 5 cl, -45 deg, 5 pos", { { 0, 0 }, { 100, 0 },  270.0 }, 5, { 74, -75 }, false, -1 }, //74.246, -74.246
    { " 270deg, 5 cl, 45  deg, 5 neg", { { 0, 0 }, { 100, 0 },  270.0 }, 5, { 67, 67 }, true, 5 }, // 67.17, 67.17
    { " 270deg, 5 cl, -45 deg, 5 neg", { { 0, 0 }, { 100, 0 },  270.0 }, 5, { 67, -67 }, false, -1 }, // 67.17, -67.17
    { " 270deg, 4 cl, 0   deg pos", { { 0, 0 }, { 100, 0 },  270.0 }, 4, { 105, 0 }, false, -1 },
    { " 270deg, 4 cl, 90  deg pos", { { 0, 0 }, { 100, 0 },  270.0 }, 4, { 0, 105 }, false, -1 },
    { " 270deg, 4 cl, 180 deg pos", { { 0, 0 }, { 100, 0 },  270.0 }, 4, { -105, 0 }, false, -1 },
    { " 270deg, 4 cl, 270 deg pos", { { 0, 0 }, { 100, 0 },  270.0 }, 4, { 0, -105 }, false, -1 },
    { "  90deg, 0 cl,   0 deg    ", { { 0, 0 }, { 71, -71 },  90.0 }, 0, { 71, -71 }, true, 0 },
    { "  90deg, 0 cl,  45 deg    ", { { 0, 0 }, { 71, -71 },  90.0 }, 0, { 100, 0 }, true, 0 },
    { "  90deg, 0 cl,  90 deg    ", { { 0, 0 }, { 71, -71 },  90.0 }, 0, { 71, 71 }, true, 0 },
    { "  90deg, 0 cl, 135 deg    ", { { 0, 0 }, { 71, -71 },  90.0 }, 0, { 0, -100 }, false, -1 },
    { "  90deg, 0 cl, -45 deg    ", { { 0, 0 }, { 71, -71 },  90.0 }, 0, { 0,  100 }, false, -1 },
    { " -90deg, 0 cl,   0 deg    ", { { 0, 0 }, { 71,  71 }, -90.0 }, 0, { 71, -71 }, true, 0 },
    { " -90deg, 0 cl,  45 deg    ", { { 0, 0 }, { 71,  71 }, -90.0 }, 0, { 100, 0 }, true, 0 },
    { " -90deg, 0 cl,  90 deg    ", { { 0, 0 }, { 71,  71 }, -90.0 }, 0, { 71, 71 }, true, 0 },
    { " -90deg, 0 cl, 135 deg    ", { { 0, 0 }, { 71,  71 }, -90.0 }, 0, { 0, -100 }, false, -1 },
    { " -90deg, 0 cl, -45 deg    ", { { 0, 0 }, { 71,  71 }, -90.0 }, 0, { 0,  100 }, false, -1 },
    { "issue 11358 collide",
      { { 119888000, 60452000 }, { 120904000, 60452000 }, 360.0 },
      0,
      { 120395500, 59571830 },
      true,
      0 },
    { "issue 11358 dist",
      { { 119888000, 60452000 }, { 120904000, 60452000 }, 360.0 },
      100,
      { 118872050, 60452000 },
      true,
      50 },
};
 
 
BOOST_AUTO_TEST_CASE( CollidePt )
{
    for( const auto& c : arc_pt_collide_cases )
    {
        BOOST_TEST_CONTEXT( c.m_ctx_name )
        {
            SHAPE_ARC arc( c.m_geom.m_center_point, c.m_geom.m_start_point,
                           EDA_ANGLE( c.m_geom.m_center_angle, DEGREES_T ) );
 
            // Test a zero width arc (distance should equal the clearance)
            BOOST_TEST_CONTEXT( "Test Clearance" )
            {
                int dist = -1;
                BOOST_CHECK_EQUAL( arc.Collide( c.m_point, c.m_arc_clearance, &dist ),
                                    c.m_exp_result );
                BOOST_CHECK_EQUAL( dist, c.m_exp_distance );
            }
 
            // Test by changing the width of the arc (distance should equal zero)
            BOOST_TEST_CONTEXT( "Test Width" )
            {
                int dist = -1;
                arc.SetWidth( c.m_arc_clearance * 2 );
                BOOST_CHECK_EQUAL( arc.Collide( c.m_point, 0, &dist ), c.m_exp_result );
 
                if( c.m_exp_result )
                    BOOST_CHECK_EQUAL( dist, 0 );
                else
                    BOOST_CHECK_EQUAL( dist, -1 );
            }
        }
    }
}
 
 
 
 
 
struct ARC_SEG_COLLIDE_CASE
{
    std::string         m_ctx_name;
    ARC_CENTRE_PT_ANGLE m_geom;
    int                 m_arc_clearance;
    SEG                 m_seg;
    bool                m_exp_result;
    int                 m_exp_distance;
};
 
 
static const std::vector<ARC_SEG_COLLIDE_CASE> arc_seg_collide_cases = {
    { "0   deg    ", { { 0, 0 }, { 100, 0 }, 270.0 }, 0, { { 100, 0 }, { 50, 0 } }, true, 0 },
    { "90  deg    ", { { 0, 0 }, { 100, 0 }, 270.0 }, 0, { { 0, 100 }, { 0, 50 } }, true, 0 },
    { "180 deg    ", { { 0, 0 }, { 100, 0 }, 270.0 }, 0, { { -100, 0 }, { -50, 0 } }, true, 0 },
    { "270 deg    ", { { 0, 0 }, { 100, 0 }, 270.0 }, 0, { { 0, -100 }, { 0, -50 } }, true, 0 },
    { "45  deg    ", { { 0, 0 }, { 100, 0 }, 270.0 }, 0, { { 71, 71 }, { 35, 35 } }, true, 0 },
    { "-45 deg    ", { { 0, 0 }, { 100, 0 }, 270.0 }, 0, { { 71, -71 }, { 35, -35 } }, false, -1 },
    { "seg inside arc start", { { 0, 0 }, { 71, -71 }, 90.0 },
                        10, { { 90, 0 }, { -35, 0 } }, true, 10 },
    { "seg inside arc end", { { 0, 0 }, { 71, -71  }, 90.0 },
                        10, { { -35, 0 }, { 90, 0 } }, true, 10 },
    { "large diameter arc", { { 172367922, 82282076 }, { 162530000, 92120000 }, -45.0 },
                        433300, { { 162096732, 92331236 }, { 162096732, 78253268 } }, true, 433268 },
};
 
 
BOOST_AUTO_TEST_CASE( CollideSeg )
{
    for( const auto& c : arc_seg_collide_cases )
    {
        BOOST_TEST_CONTEXT( c.m_ctx_name )
        {
            SHAPE_ARC arc( c.m_geom.m_center_point, c.m_geom.m_start_point,
                           EDA_ANGLE( c.m_geom.m_center_angle, DEGREES_T ) );
 
            // Test a zero width arc (distance should equal the clearance)
            BOOST_TEST_CONTEXT( "Test Clearance" )
            {
                int dist = -1;
                BOOST_CHECK_EQUAL( arc.Collide( c.m_seg, c.m_arc_clearance, &dist ),
                                   c.m_exp_result );
                BOOST_CHECK_EQUAL( dist, c.m_exp_distance );
            }
 
            // Test by changing the width of the arc (distance should equal zero)
            BOOST_TEST_CONTEXT( "Test Width" )
            {
                int dist = -1;
                arc.SetWidth( c.m_arc_clearance * 2 );
                BOOST_CHECK_EQUAL( arc.Collide( c.m_seg, 0, &dist ), c.m_exp_result );
 
                if( c.m_exp_result )
                    BOOST_CHECK_EQUAL( dist, 0 );
                else
                    BOOST_CHECK_EQUAL( dist, -1 );
            }
        }
    }
}
 
 
 
struct ARC_DATA_MM
{
    // Coordinates and dimensions in millimeters
    double m_center_x;
    double m_center_y;
    double m_start_x;
    double m_start_y;
    double m_center_angle;
    double m_width;
 
    SHAPE_ARC GenerateArc() const
    {
        SHAPE_ARC arc( VECTOR2D( pcbIUScale.mmToIU( m_center_x ), pcbIUScale.mmToIU( m_center_y ) ),
                       VECTOR2D( pcbIUScale.mmToIU( m_start_x ), pcbIUScale.mmToIU( m_start_y ) ),
                       EDA_ANGLE( m_center_angle, DEGREES_T ), pcbIUScale.mmToIU( m_width ) );
 
        return arc;
    }
};
 
 
struct ARC_ARC_COLLIDE_CASE
{
    std::string         m_ctx_name;
    ARC_DATA_MM         m_arc1;
    ARC_DATA_MM         m_arc2;
    double              m_clearance;
    bool                m_exp_result;
};
 
 
static const std::vector<ARC_ARC_COLLIDE_CASE> arc_arc_collide_cases = {
    { "case 1: No intersection",
      { 73.843527, 74.355869, 71.713528, 72.965869, -76.36664803, 0.2 },
      { 71.236473, 74.704131, 73.366472, 76.094131, -76.36664803, 0.2 },
      0,
      false },
    { "case 2: No intersection",
      { 82.542335, 74.825975, 80.413528, 73.435869, -76.4, 0.2 },
      { 76.491192, 73.839894, 78.619999, 75.23, -76.4, 0.2 },
      0,
      false },
    { "case 3: No intersection",
      { 89.318807, 74.810106, 87.19, 73.42, -76.4, 0.2 },
      { 87.045667, 74.632941, 88.826472, 75.794131, -267.9, 0.2 },
      0,
      false },
    { "case 4: Co-centered not intersecting",
      { 94.665667, 73.772941, 96.446472, 74.934131, -267.9, 0.2 },
      { 94.665667, 73.772941, 93.6551, 73.025482, -255.5, 0.2 },
      0,
      false },
    { "case 5: Not intersecting, but end points very close",
      { 72.915251, 80.493054, 73.570159, 81.257692, -260.5, 0.2 },
      { 73.063537, 82.295989, 71.968628, 81.581351, -255.5, 0.2 },
      0,
      false },
    { "case 6: Coincident centers, colliding due to arc thickness",
      { 79.279991, 80.67988, 80.3749, 81.394518, -255.5, 0.2 },
      { 79.279991, 80.67988, 80.3749, 81.694518, -255.5, 0.2 },
      0,
      true },
    { "case 7: Single intersection",
      { 88.495265, 81.766089, 90.090174, 82.867869, -255.5, 0.2 },
      { 86.995265, 81.387966, 89.090174, 82.876887, -255.5, 0.2 },
      0,
      true },
    { "case 8: Double intersection",
      { 96.149734, 81.792126, 94.99, 83.37, -347.2, 0.2 },
      { 94.857156, 81.240589, 95.91, 83.9, -288.5, 0.2 },
      0,
      true },
    { "case 9: Endpoints within arc width",
      { 72.915251, 86.493054, 73.970159, 87.257692, -260.5, 0.2 },
      { 73.063537, 88.295989, 71.968628, 87.581351, -255.5, 0.2 },
      0,
      true },
    { "case 10: Endpoints close, outside, no collision",
      { 78.915251, 86.393054, 79.970159, 87.157692, 99.5, 0.2 },
      { 79.063537, 88.295989, 77.968628, 87.581351, -255.5, 0.2 },
      0,
      false },
    { "case 11: Endpoints close, inside, collision due to arc width",
      { 85.915251, 86.993054, 86.970159, 87.757692, 99.5, 0.2 },
      { 86.063537, 88.295989, 84.968628, 87.581351, -255.5, 0.2 },
      0,
      true },
    { "case 12: Simulated differential pair length-tuning",
      { 94.6551, 88.296, 95.6551, 88.296, 90.0, 0.1 },
      { 94.6551, 88.296, 95.8551, 88.296, 90.0, 0.1 },
      0.1,
      false },
    { "case 13: One arc fully enclosed in other, non-concentric",
      { 73.77532, 93.413654, 75.70532, 93.883054, 60.0, 0.1 },
      { 73.86532, 93.393054, 75.86532, 93.393054, 90.0, 0.3 },
      0,
      true },
    { "case 14: One arc fully enclosed in other, concentric",
      { 79.87532, 93.413654, 81.64532, 94.113054, 60.0, 0.1 },
      { 79.87532, 93.413654, 81.86532, 93.393054, 90.0, 0.3 },
      0,
      true },
};
 
 
BOOST_AUTO_TEST_CASE( CollideArc )
{
    for( const auto& c : arc_arc_collide_cases )
    {
        BOOST_TEST_CONTEXT( c.m_ctx_name )
        {
            SHAPE_ARC arc1( c.m_arc1.GenerateArc() );
            SHAPE_ARC arc2( c.m_arc2.GenerateArc() );
 
 
            SHAPE_LINE_CHAIN arc1_slc( c.m_arc1.GenerateArc() );
            arc1_slc.SetWidth( 0 );
 
            SHAPE_LINE_CHAIN arc2_slc( c.m_arc2.GenerateArc() );
            arc2_slc.SetWidth( 0 );
 
            int      actual = 0;
            VECTOR2I location;
 
            SHAPE* arc1_sh = &arc1;
            SHAPE* arc2_sh = &arc2;
            SHAPE* arc1_slc_sh = &arc1_slc;
            SHAPE* arc2_slc_sh = &arc2_slc;
 
            bool result_arc_to_arc = arc1_sh->Collide( arc2_sh, pcbIUScale.mmToIU( c.m_clearance ),
                                                       &actual, &location );
 
            // For arc to chain collisions, we need to re-calculate the clearances because the
            // SHAPE_LINE_CHAIN is zero width
            int clearance = pcbIUScale.mmToIU( c.m_clearance ) + ( arc2.GetWidth() / 2 );
 
            bool result_arc_to_chain =
                    arc1_sh->Collide( arc2_slc_sh, clearance, &actual, &location );
 
            clearance = pcbIUScale.mmToIU( c.m_clearance ) + ( arc1.GetWidth() / 2 );
            bool result_chain_to_arc =
                    arc1_slc_sh->Collide( arc2_sh, clearance, &actual, &location );
 
            clearance = ( arc1.GetWidth() / 2 ) + ( arc2.GetWidth() / 2 );
            bool result_chain_to_chain =
                    arc1_slc_sh->Collide( arc2_slc_sh, clearance, &actual, &location );
 
            BOOST_CHECK_EQUAL( result_arc_to_arc, c.m_exp_result );
            BOOST_CHECK_EQUAL( result_arc_to_chain, c.m_exp_result );
            BOOST_CHECK_EQUAL( result_chain_to_arc, c.m_exp_result );
            BOOST_CHECK_EQUAL( result_chain_to_chain, c.m_exp_result );
        }
    }
}
 
 
BOOST_AUTO_TEST_CASE( CollideArcToShapeLineChain )
{
    SHAPE_ARC arc( VECTOR2I( 206000000, 140110000 ), VECTOR2I( 201574617, 139229737 ),
                   VECTOR2I( 197822958, 136722959 ), 250000 );
 
    SHAPE_LINE_CHAIN lc( { VECTOR2I( 159600000, 142500000 ), VECTOR2I( 159600000, 142600000 ),
                           VECTOR2I( 166400000, 135800000 ), VECTOR2I( 166400000, 111600000 ),
                           VECTOR2I( 190576804, 111600000 ), VECTOR2I( 192242284, 113265480 ),
                           VECTOR2I( 192255720, 113265480 ), VECTOR2I( 203682188, 124691948 ),
                           VECTOR2I( 203682188, 140332188 ), VECTOR2I( 206000000, 142650000 ) },
                         false );
 
 
 
    SHAPE* arc_sh = &arc;
    SHAPE* lc_sh = &lc;
 
    BOOST_CHECK_EQUAL( arc_sh->Collide( &lc, 100000 ), true );
    BOOST_CHECK_EQUAL( lc_sh->Collide( &arc, 100000 ), true );
 
    SEG seg( VECTOR2I( 203682188, 124691948 ), VECTOR2I( 203682188, 140332188 ) );
    BOOST_CHECK_EQUAL( arc.Collide( seg, 0 ), true );
}
 
 
BOOST_AUTO_TEST_CASE( CollideArcToPolygonApproximation )
{
    SHAPE_ARC arc( VECTOR2I( 73843527, 74355869 ), VECTOR2I( 71713528, 72965869 ),
                   EDA_ANGLE( -76.36664803, DEGREES_T ), 1000000 );
 
    // Create a polyset approximation from the arc - error outside (simulating the zone filler)
    SHAPE_POLY_SET arcBuffer;
    int            clearance = ( arc.GetWidth() * 3 ) / 2;
    int            polygonApproximationError = SHAPE_ARC::DefaultAccuracyForPCB();
 
    TransformArcToPolygon( arcBuffer, arc.GetP0(), arc.GetArcMid(), arc.GetP1(),
                           arc.GetWidth() + 2 * clearance,
                           polygonApproximationError, ERROR_OUTSIDE );
 
    BOOST_REQUIRE_EQUAL( arcBuffer.OutlineCount(), 1 );
    BOOST_CHECK_EQUAL( arcBuffer.HoleCount( 0 ), 0 );
 
    // Make a reasonably large rectangular outline around the arc shape
    BOX2I arcbbox = arc.BBox( clearance * 4 );
 
    SHAPE_LINE_CHAIN zoneOutline( { arcbbox.GetPosition(),
                                    arcbbox.GetPosition() + VECTOR2I( arcbbox.GetWidth(), 0 ),
                                    arcbbox.GetEnd(),
                                    arcbbox.GetEnd() - VECTOR2I( arcbbox.GetWidth(), 0 )
                                  },
                                  true );
 
    // Create a synthetic "zone fill" polygon
    SHAPE_POLY_SET zoneFill;
    zoneFill.AddOutline( zoneOutline );
    zoneFill.AddHole( arcBuffer.Outline( 0 ) );
    zoneFill.CacheTriangulation( false );
 
    int      actual = 0;
    VECTOR2I location;
    int      epsilon = polygonApproximationError / 10;
 
    BOOST_CHECK_EQUAL( zoneFill.Collide( &arc, clearance + epsilon, &actual, &location ), true );
 
    BOOST_CHECK_EQUAL( zoneFill.Collide( &arc, clearance - epsilon, &actual, &location ), false );
}
 
 
struct ARC_TO_POLYLINE_CASE
{
    std::string         m_ctx_name;
    ARC_CENTRE_PT_ANGLE m_geom;
};
 
 
bool ArePolylineEndPointsNearCircle( const SHAPE_LINE_CHAIN& aPolyline, const VECTOR2I& aCentre,
                                     int aRad, int aTolerance )
{
    std::vector<VECTOR2I> points;
 
    for( int i = 0; i < aPolyline.PointCount(); ++i )
    {
        points.push_back( aPolyline.CPoint( i ) );
    }
 
    return GEOM_TEST::ArePointsNearCircle( points, aCentre, aRad, aTolerance );
}
 
 
bool ArePolylineMidPointsNearCircle( const SHAPE_LINE_CHAIN& aPolyline, const VECTOR2I& aCentre,
                                     int aRad, int aTolerance )
{
    std::vector<VECTOR2I> points;
 
    for( int i = 0; i < aPolyline.PointCount() - 1; ++i )
    {
        const VECTOR2I mid_pt = ( aPolyline.CPoint( i ) + aPolyline.CPoint( i + 1 ) ) / 2;
        points.push_back( mid_pt );
    }
 
    return GEOM_TEST::ArePointsNearCircle( points, aCentre, aRad, aTolerance );
}
 
 
BOOST_AUTO_TEST_CASE( ArcToPolyline )
{
    const std::vector<ARC_TO_POLYLINE_CASE> cases = {
        {
            "Zero rad",
            {
                { 0, 0 },
                { 0, 0 },
                180,
            },
        },
        {
            "Semicircle",
            {
                { 0, 0 },
                { -1000000, 0 },
                180,
            },
        },
        {
            // check that very small circles don't fall apart and that reverse angles
            // work too
            "Extremely small semicircle",
            {
                { 0, 0 },
                { -1000, 0 },
                -180,
            },
        },
        {
            // Make sure it doesn't only work for "easy" angles
            "Non-round geometry",
            {
                { 0, 0 },
                { 1234567, 0 },
                42.22,
            },
        },
    };
 
    const int width = 0;
 
    // Note: do not expect accuracies around 1 to work.  We use integers internally so we're
    // liable to rounding errors.  In PCBNew accuracy defaults to 5000 and we don't recommend
    // anything lower than 1000 (for performance reasons).
    const int accuracy = 100;
    const int epsilon  = 1;
 
    for( const auto& c : cases )
    {
        BOOST_TEST_CONTEXT( c.m_ctx_name )
        {
            const SHAPE_ARC this_arc{ c.m_geom.m_center_point, c.m_geom.m_start_point,
                                      EDA_ANGLE( c.m_geom.m_center_angle, DEGREES_T ), width };
 
            const SHAPE_LINE_CHAIN chain = this_arc.ConvertToPolyline( accuracy );
 
            BOOST_TEST_MESSAGE( "Polyline has " << chain.PointCount() << " points" );
 
            // Start point (exactly) where expected
            BOOST_CHECK_EQUAL( chain.CPoint( 0 ), c.m_geom.m_start_point );
 
            // End point (exactly) where expected
            BOOST_CHECK_EQUAL( chain.CPoint( -1 ), this_arc.GetP1() );
 
            int radius = ( c.m_geom.m_center_point - c.m_geom.m_start_point ).EuclideanNorm();
 
            // Other points within accuracy + epsilon (for rounding) of where they should be
            BOOST_CHECK_PREDICATE( ArePolylineEndPointsNearCircle,
                    ( chain )( c.m_geom.m_center_point )( radius )( accuracy + epsilon ) );
 
            BOOST_CHECK_PREDICATE( ArePolylineMidPointsNearCircle,
                    ( chain )( c.m_geom.m_center_point )( radius )( accuracy + epsilon ) );
        }
    }
}
 
 
BOOST_AUTO_TEST_SUITE_END()