Commit cce6e270 authored by Maciej Suminski's avatar Maciej Suminski
Browse files

Various fixes to geometry & math library.

parent d27ea789
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+186 −85
Original line number Diff line number Diff line
@@ -23,11 +23,13 @@
 */

#include <math/vector2d.h>
#include <math.h>

#include <geometry/shape.h>
#include <geometry/shape_line_chain.h>
#include <geometry/shape_circle.h>
#include <geometry/shape_rect.h>
#include <geometry/shape_segment.h>

typedef VECTOR2I::extended_type ecoord;

@@ -45,7 +47,7 @@ static inline bool Collide( const SHAPE_CIRCLE& aA, const SHAPE_CIRCLE& aB, int
        return false;

    if( aNeedMTV )
        aMTV = delta.Resize( sqrt( abs( min_dist_sq - dist_sq ) ) + 1 );
        aMTV = delta.Resize( min_dist - sqrt( dist_sq ) + 3 );  // fixme: apparent rounding error

    return true;
}
@@ -57,12 +59,8 @@ static inline bool Collide( const SHAPE_RECT& aA, const SHAPE_CIRCLE& aB, int a
    const VECTOR2I c = aB.GetCenter();
    const VECTOR2I p0 = aA.GetPosition();
    const VECTOR2I size = aA.GetSize();
    const ecoord r = aB.GetRadius();
    const ecoord min_dist = aClearance + r;
    const ecoord min_dist_sq = min_dist * min_dist;

    if( aA.BBox( 0 ).Contains( c ) )
        return true;
    const int r = aB.GetRadius();
    const int min_dist = aClearance + r;
    
    const VECTOR2I vts[] =
    {
@@ -73,33 +71,35 @@ static inline bool Collide( const SHAPE_RECT& aA, const SHAPE_CIRCLE& aB, int a
        VECTOR2I( p0.x,          p0.y )
    };

    ecoord nearest_seg_dist_sq = VECTOR2I::ECOORD_MAX;
    int nearest_seg_dist = INT_MAX;
    VECTOR2I nearest;

    bool inside = c.x >= p0.x && c.x <= ( p0.x + size.x )
                  && c.y >= p0.y && c.y <= ( p0.y + size.y );

    if( !inside )
    {

    if( !aNeedMTV && inside )
        return true;

    for( int i = 0; i < 4; i++ )
    {
        const SEG seg( vts[i], vts[i + 1] );
            ecoord dist_sq = seg.SquaredDistance( c );

            if( dist_sq < min_dist_sq )
            {
                if( !aNeedMTV )
        VECTOR2I pn = seg.NearestPoint( c );

        int d = ( pn - c ).EuclideanNorm();

        if( ( d < min_dist ) && !aNeedMTV )
            return true;
                else

        if( d < nearest_seg_dist )
        {
                    nearest = seg.NearestPoint( c );
                    nearest_seg_dist_sq = dist_sq;
                }
            }
            nearest = pn;
            nearest_seg_dist = d;
        }
    }

    if( nearest_seg_dist_sq >= min_dist_sq && !inside )
    if( nearest_seg_dist >= min_dist && !inside )
        return false;

    VECTOR2I delta = c - nearest;
@@ -107,25 +107,77 @@ static inline bool Collide( const SHAPE_RECT& aA, const SHAPE_CIRCLE& aB, int a
    if( !aNeedMTV )
        return true;

   
    if( inside )
        aMTV = -delta.Resize( sqrt( abs( r * r + nearest_seg_dist_sq ) + 1 ) );
        aMTV = -delta.Resize( abs( min_dist + 1 + nearest_seg_dist ) + 1 );
    else
        aMTV = delta.Resize( sqrt( abs( r * r - nearest_seg_dist_sq ) + 1 ) );
        aMTV = delta.Resize( abs( min_dist + 1 - nearest_seg_dist ) + 1 );


    return true;
}


static VECTOR2I pushoutForce( const SHAPE_CIRCLE& aA, const SEG& aB, int aClearance )
{
    VECTOR2I nearest = aB.NearestPoint( aA.GetCenter() );
    VECTOR2I f (0, 0);

    int dist = ( nearest - aA.GetCenter() ).EuclideanNorm();
    int min_dist = aClearance + aA.GetRadius();

    if( dist < min_dist )
        f = ( aA.GetCenter() - nearest ).Resize ( min_dist - dist + 10 );

    return f;
}


static inline bool Collide( const SHAPE_CIRCLE& aA, const SHAPE_LINE_CHAIN& aB, int aClearance,
                            bool aNeedMTV, VECTOR2I& aMTV )
{
    bool found = false;
    VECTOR2I::extended_type clSq = (VECTOR2I::extended_type) aClearance * aClearance;


    for( int s = 0; s < aB.SegmentCount(); s++ )
    {

        if( aA.Collide( aB.CSegment( s ), aClearance ) )
            return true;
        {
            found = true;
            break;
        }
    }

    return false;
    if( !aNeedMTV || !found )
        return found;
    
    SHAPE_CIRCLE cmoved( aA );
    VECTOR2I f_total( 0, 0 );

    for( int s = 0; s < aB.SegmentCount(); s++ )
    {
        VECTOR2I f = pushoutForce( cmoved, aB.CSegment( s ), aClearance );
        cmoved.SetCenter( cmoved.GetCenter() + f );
        f_total += f;
    }
    
    aMTV = f_total;
    return found;
}


static inline bool Collide( const SHAPE_CIRCLE& aA, const SHAPE_SEGMENT& aSeg, int aClearance,
                            bool aNeedMTV, VECTOR2I& aMTV )
{
	bool col = aA.Collide( aSeg.GetSeg(), aClearance + aSeg.GetWidth() / 2);

    if( col && aNeedMTV )
    {
        aMTV = pushoutForce( aA, aSeg.GetSeg(), aClearance + aSeg.GetWidth() / 2);
    }
    return col;
}


@@ -155,8 +207,39 @@ static inline bool Collide( const SHAPE_RECT& aA, const SHAPE_LINE_CHAIN& aB, in
}


bool CollideShapes( const SHAPE* aA, const SHAPE* aB, int aClearance,
static inline bool Collide( const SHAPE_RECT& aA, const SHAPE_SEGMENT& aSeg, int aClearance,
                            bool aNeedMTV, VECTOR2I& aMTV )
{
	return aA.Collide( aSeg.GetSeg(), aClearance + aSeg.GetWidth() / 2 );
}


static inline bool Collide( const SHAPE_SEGMENT& aA, const SHAPE_SEGMENT& aB, int aClearance,
                            bool aNeedMTV, VECTOR2I& aMTV )
{
	return aA.Collide( aB.GetSeg(), aClearance + aB.GetWidth() / 2 );
}


static inline bool Collide( const SHAPE_LINE_CHAIN& aA, const SHAPE_SEGMENT& aB, int aClearance,
                            bool aNeedMTV, VECTOR2I& aMTV )
{
	if( aA.Collide( aB.GetSeg(), aClearance + aB.GetWidth() / 2 ) )
		return true;

	return false;
}


template<class ShapeAType, class ShapeBType> bool
CollCase( const SHAPE* aA, const SHAPE* aB, int aClearance, bool aNeedMTV, VECTOR2I& aMTV )
{
	return Collide (*static_cast<const ShapeAType*>( aA ),
					*static_cast<const ShapeBType*>( aB ),
					aClearance, aNeedMTV, aMTV);
}

bool CollideShapes( const SHAPE* aA, const SHAPE* aB, int aClearance, bool aNeedMTV, VECTOR2I& aMTV )
{
	switch( aA->Type() )
	{
@@ -164,63 +247,81 @@ bool CollideShapes( const SHAPE* aA, const SHAPE* aB, int aClearance,
			switch( aB->Type() )
			{
				case SH_CIRCLE: 
            return Collide( *static_cast<const SHAPE_RECT*>( aA ),
                *static_cast<const SHAPE_CIRCLE*>( aB ), aClearance, aNeedMTV, aMTV );
					return CollCase<SHAPE_RECT, SHAPE_CIRCLE>( aA, aB, aClearance, aNeedMTV, aMTV );

				case SH_LINE_CHAIN: 
            return Collide( *static_cast<const SHAPE_RECT*>( aA ),
                *static_cast<const SHAPE_LINE_CHAIN*>( aB ), aClearance, aNeedMTV, aMTV );
					return CollCase<SHAPE_RECT, SHAPE_LINE_CHAIN>( aA, aB, aClearance, aNeedMTV, aMTV );

				case SH_SEGMENT: 
					return CollCase<SHAPE_RECT, SHAPE_SEGMENT>( aA, aB, aClearance, aNeedMTV, aMTV );

				default:
					break;
			}
        break;

		case SH_CIRCLE:
			switch( aB->Type() )
			{
				case SH_RECT:
            return Collide( *static_cast<const SHAPE_RECT*>( aB ),
                *static_cast<const SHAPE_CIRCLE*>( aA ), aClearance, aNeedMTV, aMTV );
					return CollCase<SHAPE_RECT, SHAPE_CIRCLE>( aB, aA, aClearance, aNeedMTV, aMTV );

				case SH_CIRCLE:
            return Collide( *static_cast<const SHAPE_CIRCLE*>( aA ),
                *static_cast<const SHAPE_CIRCLE*>( aB ), aClearance, aNeedMTV, aMTV );
					return CollCase<SHAPE_CIRCLE, SHAPE_CIRCLE>( aA, aB, aClearance, aNeedMTV, aMTV );

				case SH_LINE_CHAIN:
            return Collide( *static_cast<const SHAPE_CIRCLE*>( aA ),
                *static_cast<const SHAPE_LINE_CHAIN *>( aB ), aClearance, aNeedMTV, aMTV );
					return CollCase<SHAPE_CIRCLE, SHAPE_LINE_CHAIN>( aA, aB, aClearance, aNeedMTV, aMTV );

				case SH_SEGMENT:
					return CollCase<SHAPE_CIRCLE, SHAPE_SEGMENT>( aA, aB, aClearance, aNeedMTV, aMTV );
				default:
					break;
			}
        break;

		case SH_LINE_CHAIN:
			switch( aB->Type() )
			{
				case SH_RECT:
            return Collide( *static_cast<const SHAPE_RECT*>( aB ),
                *static_cast<const SHAPE_LINE_CHAIN*>( aA ), aClearance, aNeedMTV, aMTV );
					return CollCase<SHAPE_RECT, SHAPE_LINE_CHAIN>( aB, aA, aClearance, aNeedMTV, aMTV );

				case SH_CIRCLE:
            return Collide( *static_cast<const SHAPE_CIRCLE*>( aB ),
                *static_cast<const SHAPE_LINE_CHAIN*>( aA ), aClearance, aNeedMTV, aMTV );
					return CollCase<SHAPE_CIRCLE, SHAPE_LINE_CHAIN>( aB, aA, aClearance, aNeedMTV, aMTV );

				case SH_LINE_CHAIN:
            return Collide( *static_cast<const SHAPE_LINE_CHAIN*>( aA ),
                *static_cast<const SHAPE_LINE_CHAIN*>( aB ), aClearance, aNeedMTV, aMTV );
					return CollCase<SHAPE_LINE_CHAIN, SHAPE_LINE_CHAIN>( aA, aB, aClearance, aNeedMTV, aMTV );

				case SH_SEGMENT:
					return CollCase<SHAPE_LINE_CHAIN, SHAPE_SEGMENT>( aA, aB, aClearance, aNeedMTV, aMTV );

				default:
					break;
			}

		case SH_SEGMENT:
			switch( aB->Type() )
			{
				case SH_RECT:
					return CollCase<SHAPE_RECT, SHAPE_SEGMENT>( aB, aA, aClearance, aNeedMTV, aMTV );

				case SH_CIRCLE:
					return CollCase<SHAPE_CIRCLE, SHAPE_SEGMENT>( aB, aA, aClearance, aNeedMTV, aMTV );

				case SH_LINE_CHAIN:
					return CollCase<SHAPE_LINE_CHAIN, SHAPE_SEGMENT>( aB, aA, aClearance, aNeedMTV, aMTV );

				case SH_SEGMENT:
					return CollCase<SHAPE_SEGMENT, SHAPE_SEGMENT>( aA, aB, aClearance, aNeedMTV, aMTV );

				default:
					break;
			}

		default:
			break;
	}

    assert( 0 );    // unsupported_collision
	bool unsupported_collision = true;

	assert( unsupported_collision == false );

	return false;
}
+49 −41
Original line number Diff line number Diff line
@@ -135,6 +135,9 @@ int SHAPE_LINE_CHAIN::Distance( const VECTOR2I& aP ) const
{
    int d = INT_MAX;

    if( IsClosed() && PointInside( aP ) )
        return 0;

    for( int s = 0; s < SegmentCount(); s++ )
        d = std::min( d, CSegment( s ).Distance( aP ) );

@@ -187,6 +190,16 @@ int SHAPE_LINE_CHAIN::Find( const VECTOR2I& aP ) const
}


int SHAPE_LINE_CHAIN::FindSegment( const VECTOR2I& aP ) const
{
    for( int s = 0; s < SegmentCount(); s++ )
        if( CSegment( s ).Distance( aP ) <= 1 )
            return s;

    return -1;
}


const SHAPE_LINE_CHAIN SHAPE_LINE_CHAIN::Slice( int aStartIndex, int aEndIndex ) const
{
    SHAPE_LINE_CHAIN rv;
@@ -261,6 +274,9 @@ int SHAPE_LINE_CHAIN::Intersect( const SHAPE_LINE_CHAIN& aChain, INTERSECTIONS&

            if( a.Collinear( b ) )
            {
                is.our = a;
                is.their = b;

                if( a.Contains( b.A ) ) { is.p = b.A; aIp.push_back( is ); }
                if( a.Contains( b.B ) ) { is.p = b.B; aIp.push_back( is ); }
                if( b.Contains( a.A ) ) { is.p = a.A; aIp.push_back( is ); }
@@ -282,44 +298,6 @@ int SHAPE_LINE_CHAIN::Intersect( const SHAPE_LINE_CHAIN& aChain, INTERSECTIONS&
    }

    return aIp.size();

    for( int s1 = 0; s1 < SegmentCount(); s1++ )
    {
        for( int s2 = 0; s2 < aChain.SegmentCount(); s2++ )
        {
            const SEG& a = CSegment( s1 );
            const SEG& b = aChain.CSegment( s2 );
            OPT_VECTOR2I p = a.Intersect( b );
            INTERSECTION is;

            if( p )
            {
                is.p = *p;
                is.our = a;
                is.their = b;
                aIp.push_back( is );
            }
            else if( a.Collinear( b ) )
            {
                if( a.A != b.A && a.A != b.B && b.Contains( a.A ) )
                {
                    is.p = a.A;
                    is.our = a;
                    is.their = b;
                    aIp.push_back( is );
                }
                else if( a.B != b.A && a.B != b.B && b.Contains( a.B ) )
                {
                    is.p = a.B;
                    is.our = a;
                    is.their = b;
                    aIp.push_back( is );
                }
            }
        }
    }

    return aIp.size();
}


@@ -372,10 +350,13 @@ bool SHAPE_LINE_CHAIN::PointInside( const VECTOR2I& aP ) const

bool SHAPE_LINE_CHAIN::PointOnEdge( const VECTOR2I& aP ) const
{
    if( SegmentCount() < 1 )
	if( !PointCount() )
		return false;

	else if( PointCount() == 1 )
        return m_points[0] == aP;

    for( int i = 1; i < SegmentCount(); i++ )
    for( int i = 0; i < SegmentCount(); i++ )
    {
        const SEG s = CSegment( i );

@@ -534,3 +515,30 @@ const std::string SHAPE_LINE_CHAIN::Format() const

    return ss.str();
}


bool SHAPE_LINE_CHAIN::CompareGeometry ( const SHAPE_LINE_CHAIN & aOther ) const
{
    SHAPE_LINE_CHAIN a(*this), b(aOther);
    a.Simplify();
    b.Simplify();

    if(a.m_points.size() != b.m_points.size())
        return false;

    for(int i = 0; i < a.PointCount(); i++)
        if(a.CPoint(i) != b.CPoint(i))
            return false;
    return true;
}

bool SHAPE_LINE_CHAIN::Intersects( const SHAPE_LINE_CHAIN& aChain ) const
{
    INTERSECTIONS dummy;
    return Intersect(aChain, dummy) != 0;
}

SHAPE* SHAPE_LINE_CHAIN::Clone() const
{
    return new SHAPE_LINE_CHAIN( *this );
}
+8 −8
Original line number Diff line number Diff line
@@ -244,14 +244,14 @@ public:
     */
    bool Collinear( const SEG& aSeg ) const
    {
        ecoord qa = A.y - B.y;
        ecoord qb = B.x - A.x;
        ecoord qc = -qa * A.x - qb * A.y;

        ecoord d1 = std::abs( aSeg.A.x * qa + aSeg.A.y * qb + qc );
        ecoord d2 = std::abs( aSeg.B.x * qa + aSeg.B.y * qb + qc );

        return ( d1 <= 1 && d2 <= 1 );
        ecoord qa1 = A.y - B.y;
        ecoord qb1 = B.x - A.x;
        ecoord qc1 = -qa1 * A.x - qb1 * A.y;
        ecoord qa2 = aSeg.A.y - aSeg.B.y;
        ecoord qb2 = aSeg.B.x - aSeg.A.x;
        ecoord qc2 = -qa2 * aSeg.A.x - qb2 * aSeg.A.y;

        return ( qa1 == qa2 ) && ( qb1 == qb2 ) && ( qc1 == qc2 );
    }

    /**
+11 −0
Original line number Diff line number Diff line
@@ -38,9 +38,20 @@ public:
        SHAPE( SH_CIRCLE ), m_radius( aRadius ), m_center( aCenter )
    {}

    SHAPE_CIRCLE ( const SHAPE_CIRCLE& aOther ) : 
        SHAPE( SH_CIRCLE ),
        m_radius( aOther.m_radius ),
        m_center( aOther.m_center )
    {};

    ~SHAPE_CIRCLE()
    {}

    SHAPE* Clone() const
    {
        return new SHAPE_CIRCLE( *this );
    }

    const BOX2I BBox( int aClearance = 0 ) const
    {
        const VECTOR2I rc( m_radius + aClearance, m_radius + aClearance );
+20 −0
Original line number Diff line number Diff line
@@ -116,6 +116,8 @@ public:
    ~SHAPE_LINE_CHAIN()
    {}

    SHAPE *Clone() const;

    /**
     * Function Clear()
     * Removes all points from the line chain.
@@ -366,6 +368,11 @@ public:
        }
    }

    void Insert( int aVertex, const VECTOR2I& aP )
    {
        m_points.insert( m_points.begin() + aVertex, aP );
    }

    /**
     * Function Replace()
     *
@@ -417,6 +424,15 @@ public:
     */
    int Find( const VECTOR2I& aP ) const;

    /**
     * Function FindSegment()
     *
     * Searches for segment containing point aP.
     * @param aP the point to be looked for
     * @return index of the correspoinding segment in the line chain or negative when not found.
     */
    int FindSegment( const VECTOR2I& aP ) const;

    /**
     * Function Slice()
     *
@@ -441,6 +457,8 @@ public:
        VECTOR2I m_origin;
    };

    bool Intersects( const SHAPE_LINE_CHAIN& aChain ) const;

    /**
     * Function Intersect()
     *
@@ -533,6 +551,8 @@ public:
        return false;
    }

    bool CompareGeometry( const SHAPE_LINE_CHAIN & aOther ) const;

private:
    /// array of vertices
    std::vector<VECTOR2I> m_points;
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