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 * Licensed to the Apache Software Foundation (ASF) under one
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 * distributed with this work for additional information
 * regarding copyright ownership.  The ASF licenses this file
 * to you under the Apache License, Version 2.0 (the
 * "License"); you may not use this file except in compliance
 * with the License.  You may obtain a copy of the License at
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 * software distributed under the License is distributed on an
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 * specific language governing permissions and limitations
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// MARKER(update_precomp.py): autogen include statement, do not remove
#include "precompiled_basegfx.hxx"

#include "basegfx/tools/tools.hxx"
#include "basegfx/range/b2drange.hxx"

#include <algorithm>


namespace basegfx
{
    namespace tools
    {
        namespace
        {
            inline double distance( const double&					nX,
                                    const double&					nY,
                                    const ::basegfx::B2DVector& 	rNormal, 
                                    const double&					nC )
            {
                return nX*rNormal.getX() + nY*rNormal.getY() - nC;
            }

            void moveLineOutsideRect( ::basegfx::B2DPoint& 			io_rStart,
                                      ::basegfx::B2DPoint& 			io_rEnd,
                                      const ::basegfx::B2DVector&	rMoveDirection,
                                      const ::basegfx::B2DRange&	rFitTarget		)
            {
                // calc c for normal line form equation n x - c = 0
                const double nC( rMoveDirection.scalar( io_rStart ) );

                // calc maximum orthogonal distance for all four bound
                // rect corners to the line
                const double nMaxDistance( ::std::max(
                                               0.0,
                                               ::std::max( 
                                                   distance(rFitTarget.getMinX(),
                                                            rFitTarget.getMinY(),
                                                            rMoveDirection,
                                                            nC),
                                                   ::std::max( 
                                                       distance(rFitTarget.getMinX(),
                                                                rFitTarget.getMaxY(),
                                                                rMoveDirection,
                                                                nC),
                                                       ::std::max( 
                                                           distance(rFitTarget.getMaxX(),
                                                                    rFitTarget.getMinY(),
                                                                    rMoveDirection,
                                                                    nC),
                                                           distance(rFitTarget.getMaxX(),
                                                                    rFitTarget.getMaxY(),
                                                                    rMoveDirection,
                                                                    nC) ) ) ) ) );

                // now move line points, such that the bound rect
                // points are all either 'on' or on the negative side
                // of the half-plane
                io_rStart += nMaxDistance*rMoveDirection;
                io_rEnd   += nMaxDistance*rMoveDirection;
            }
        }

        void infiniteLineFromParallelogram( ::basegfx::B2DPoint& 		io_rLeftTop,
                                            ::basegfx::B2DPoint& 		io_rLeftBottom,
                                            ::basegfx::B2DPoint& 		io_rRightTop,
                                            ::basegfx::B2DPoint& 		io_rRightBottom,
                                            const ::basegfx::B2DRange&	rFitTarget	)
        {
            // For the top and bottom border line of the
            // parallelogram, we determine the distance to all four
            // corner points of the bound rect (tl, tr, bl, br). When
            // using the unit normal form for lines (n x - c = 0), and
            // choosing n to point 'outwards' the parallelogram, then
            // all bound rect corner points having positive distance
            // to the line lie outside the extended gradient rect, and
            // thus, the corresponding border line must be moved the
            // maximum distance outwards.

            // don't use the top and bottom border line direction, and
            // calculate the normal from them. Instead, use the
            // vertical lines (lt - lb or rt - rb), as they more
            // faithfully represent the direction of the
            // to-be-generated infinite line
            ::basegfx::B2DVector aDirectionVertical( io_rLeftTop - io_rLeftBottom );
            aDirectionVertical.normalize();

            const ::basegfx::B2DVector aNormalTop( aDirectionVertical );
            const ::basegfx::B2DVector aNormalBottom( -aDirectionVertical );
            
            // now extend parallelogram, such that the bound rect
            // point are included
            moveLineOutsideRect( io_rLeftTop, io_rRightTop, aNormalTop, rFitTarget );
            moveLineOutsideRect( io_rLeftBottom, io_rRightBottom, aNormalBottom, rFitTarget );
        }
    }
}