Adding upstream version 1:7.0.4.upstream/1%7.0.4upstream

Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>

1 files changed, 1936 insertions, 0 deletions

diff --git a/vcl/source/outdev/map.cxx b/vcl/source/outdev/map.cxx
new file mode 100644
index 000000000..92d9e6322
--- /dev/null
+++ b/vcl/source/outdev/map.cxx
@@ -0,0 +1,1936 @@
+/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+/*
+ * This file is part of the LibreOffice project.
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/.
+ *
+ * This file incorporates work covered by the following license notice:
+ *
+ *   Licensed to the Apache Software Foundation (ASF) under one or more
+ *   contributor license agreements. See the NOTICE file 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 http://www.apache.org/licenses/LICENSE-2.0 .
+ */
+
+#include <tools/bigint.hxx>
+#include <tools/debug.hxx>
+#include <vcl/cursor.hxx>
+#include <vcl/gdimtf.hxx>
+#include <vcl/lineinfo.hxx>
+#include <vcl/metaact.hxx>
+#include <vcl/virdev.hxx>
+#include <vcl/wrkwin.hxx>
+#include <sal/log.hxx>
+#include <osl/diagnose.h>
+
+#include <svdata.hxx>
+#include <window.h>
+#include <outdev.h>
+
+#include <basegfx/matrix/b2dhommatrix.hxx>
+#include <o3tl/enumarray.hxx>
+
+// we don't actually handle units beyond, hence the zeros in the arrays
+static const MapUnit s_MaxValidUnit = MapUnit::MapPixel;
+static const o3tl::enumarray<MapUnit,long> aImplNumeratorAry =
+     {    1,   1,   5,  50,    1,   1,  1, 1,  1,    1, 1, 0, 0, 0 };
+static const o3tl::enumarray<MapUnit,long> aImplDenominatorAry =
+     { 2540, 254, 127, 127, 1000, 100, 10, 1, 72, 1440, 1, 0, 0, 0 };
+
+/*
+Reduces accuracy until it is a fraction (should become
+ctor fraction once); we could also do this with BigInts
+*/
+
+static Fraction ImplMakeFraction( long nN1, long nN2, long nD1, long nD2 )
+{
+    if( nD1 == 0 || nD2 == 0 ) //under these bad circumstances the following while loop will be endless
+    {
+        SAL_WARN("vcl.gdi", "Invalid parameter for ImplMakeFraction");
+        return Fraction( 1, 1 );
+    }
+
+    long i = 1;
+
+    if ( nN1 < 0 ) { i = -i; nN1 = -nN1; }
+    if ( nN2 < 0 ) { i = -i; nN2 = -nN2; }
+    if ( nD1 < 0 ) { i = -i; nD1 = -nD1; }
+    if ( nD2 < 0 ) { i = -i; nD2 = -nD2; }
+    // all positive; i sign
+
+    Fraction aF = Fraction( i*nN1, nD1 ) * Fraction( nN2, nD2 );
+
+    while ( !aF.IsValid() ) {
+        if ( nN1 > nN2 )
+            nN1 = (nN1 + 1) / 2;
+        else
+            nN2 = (nN2 + 1) / 2;
+        if ( nD1 > nD2 )
+            nD1 = (nD1 + 1) / 2;
+        else
+            nD2 = (nD2 + 1) / 2;
+
+        aF = Fraction( i*nN1, nD1 ) * Fraction( nN2, nD2 );
+    }
+
+    aF.ReduceInaccurate(32);
+    return aF;
+}
+
+// Fraction.GetNumerator()
+// Fraction.GetDenominator()    > 0
+// rOutRes.nPixPerInch?         > 0
+// rMapRes.nMapScNum?
+// rMapRes.nMapScDenom?         > 0
+
+static void ImplCalcBigIntThreshold( long nDPIX, long nDPIY,
+                                     const ImplMapRes& rMapRes,
+                                     ImplThresholdRes& rThresRes )
+{
+    if ( nDPIX && (LONG_MAX / nDPIX < std::abs( rMapRes.mnMapScNumX ) ) ) // #111139# avoid div by zero
+    {
+        rThresRes.mnThresLogToPixX = 0;
+        rThresRes.mnThresPixToLogX = 0;
+    }
+    else
+    {
+        // calculate thresholds for BigInt arithmetic
+        long    nDenomHalfX = rMapRes.mnMapScDenomX / 2;
+        sal_uLong   nDenomX     = rMapRes.mnMapScDenomX;
+        long    nProductX   = nDPIX * rMapRes.mnMapScNumX;
+
+        if ( !nProductX )
+            rThresRes.mnThresLogToPixX = LONG_MAX;
+        else
+            rThresRes.mnThresLogToPixX = std::abs( (LONG_MAX - nDenomHalfX) / nProductX );
+
+        if ( !nDenomX )
+            rThresRes.mnThresPixToLogX = LONG_MAX;
+        else if ( nProductX >= 0 )
+            rThresRes.mnThresPixToLogX = static_cast<long>((sal_uLong(LONG_MAX) - static_cast<sal_uLong>( nProductX/2)) / nDenomX);
+        else
+            rThresRes.mnThresPixToLogX = static_cast<long>((sal_uLong(LONG_MAX) + static_cast<sal_uLong>(-nProductX/2)) / nDenomX);
+    }
+
+    if ( nDPIY && (LONG_MAX / nDPIY < std::abs( rMapRes.mnMapScNumY ) ) ) // #111139# avoid div by zero
+    {
+        rThresRes.mnThresLogToPixY = 0;
+        rThresRes.mnThresPixToLogY = 0;
+    }
+    else
+    {
+        // calculate thresholds for BigInt arithmetic
+        long    nDenomHalfY = rMapRes.mnMapScDenomY / 2;
+        sal_uLong   nDenomY     = rMapRes.mnMapScDenomY;
+        long    nProductY   = nDPIY * rMapRes.mnMapScNumY;
+
+        if ( !nProductY )
+            rThresRes.mnThresLogToPixY = LONG_MAX;
+        else
+            rThresRes.mnThresLogToPixY = std::abs( (LONG_MAX - nDenomHalfY) / nProductY );
+
+        if ( !nDenomY )
+            rThresRes.mnThresPixToLogY = LONG_MAX;
+        else if ( nProductY >= 0 )
+            rThresRes.mnThresPixToLogY = static_cast<long>((sal_uLong(LONG_MAX) - static_cast<sal_uLong>( nProductY/2)) / nDenomY);
+        else
+            rThresRes.mnThresPixToLogY = static_cast<long>((sal_uLong(LONG_MAX) + static_cast<sal_uLong>(-nProductY/2)) / nDenomY);
+    }
+
+    rThresRes.mnThresLogToPixX /= 2;
+    rThresRes.mnThresLogToPixY /= 2;
+    rThresRes.mnThresPixToLogX /= 2;
+    rThresRes.mnThresPixToLogY /= 2;
+}
+
+static void ImplCalcMapResolution( const MapMode& rMapMode,
+                                   long nDPIX, long nDPIY, ImplMapRes& rMapRes )
+{
+    switch ( rMapMode.GetMapUnit() )
+    {
+        case MapUnit::MapRelative:
+            break;
+        case MapUnit::Map100thMM:
+            rMapRes.mnMapScNumX   = 1;
+            rMapRes.mnMapScDenomX = 2540;
+            rMapRes.mnMapScNumY   = 1;
+            rMapRes.mnMapScDenomY = 2540;
+            break;
+        case MapUnit::Map10thMM:
+            rMapRes.mnMapScNumX   = 1;
+            rMapRes.mnMapScDenomX = 254;
+            rMapRes.mnMapScNumY   = 1;
+            rMapRes.mnMapScDenomY = 254;
+            break;
+        case MapUnit::MapMM:
+            rMapRes.mnMapScNumX   = 5;      // 10
+            rMapRes.mnMapScDenomX = 127;    // 254
+            rMapRes.mnMapScNumY   = 5;      // 10
+            rMapRes.mnMapScDenomY = 127;    // 254
+            break;
+        case MapUnit::MapCM:
+            rMapRes.mnMapScNumX   = 50;     // 100
+            rMapRes.mnMapScDenomX = 127;    // 254
+            rMapRes.mnMapScNumY   = 50;     // 100
+            rMapRes.mnMapScDenomY = 127;    // 254
+            break;
+        case MapUnit::Map1000thInch:
+            rMapRes.mnMapScNumX   = 1;
+            rMapRes.mnMapScDenomX = 1000;
+            rMapRes.mnMapScNumY   = 1;
+            rMapRes.mnMapScDenomY = 1000;
+            break;
+        case MapUnit::Map100thInch:
+            rMapRes.mnMapScNumX   = 1;
+            rMapRes.mnMapScDenomX = 100;
+            rMapRes.mnMapScNumY   = 1;
+            rMapRes.mnMapScDenomY = 100;
+            break;
+        case MapUnit::Map10thInch:
+            rMapRes.mnMapScNumX   = 1;
+            rMapRes.mnMapScDenomX = 10;
+            rMapRes.mnMapScNumY   = 1;
+            rMapRes.mnMapScDenomY = 10;
+            break;
+        case MapUnit::MapInch:
+            rMapRes.mnMapScNumX   = 1;
+            rMapRes.mnMapScDenomX = 1;
+            rMapRes.mnMapScNumY   = 1;
+            rMapRes.mnMapScDenomY = 1;
+            break;
+        case MapUnit::MapPoint:
+            rMapRes.mnMapScNumX   = 1;
+            rMapRes.mnMapScDenomX = 72;
+            rMapRes.mnMapScNumY   = 1;
+            rMapRes.mnMapScDenomY = 72;
+            break;
+        case MapUnit::MapTwip:
+            rMapRes.mnMapScNumX   = 1;
+            rMapRes.mnMapScDenomX = 1440;
+            rMapRes.mnMapScNumY   = 1;
+            rMapRes.mnMapScDenomY = 1440;
+            break;
+        case MapUnit::MapPixel:
+            rMapRes.mnMapScNumX   = 1;
+            rMapRes.mnMapScDenomX = nDPIX;
+            rMapRes.mnMapScNumY   = 1;
+            rMapRes.mnMapScDenomY = nDPIY;
+            break;
+        case MapUnit::MapSysFont:
+        case MapUnit::MapAppFont:
+            {
+            ImplSVData* pSVData = ImplGetSVData();
+            if ( !pSVData->maGDIData.mnAppFontX )
+            {
+                if (pSVData->maFrameData.mpFirstFrame)
+                    vcl::Window::ImplInitAppFontData(pSVData->maFrameData.mpFirstFrame);
+                else
+                {
+                    ScopedVclPtrInstance<WorkWindow> pWin( nullptr, 0 );
+                    vcl::Window::ImplInitAppFontData( pWin );
+                }
+            }
+            rMapRes.mnMapScNumX   = pSVData->maGDIData.mnAppFontX;
+            rMapRes.mnMapScDenomX = nDPIX * 40;
+            rMapRes.mnMapScNumY   = pSVData->maGDIData.mnAppFontY;
+            rMapRes.mnMapScDenomY = nDPIY * 80;
+            }
+            break;
+        default:
+            OSL_FAIL( "unhandled MapUnit" );
+            break;
+    }
+
+    const Fraction& aScaleX = rMapMode.GetScaleX();
+    const Fraction& aScaleY = rMapMode.GetScaleY();
+
+    // set offset according to MapMode
+    Point aOrigin = rMapMode.GetOrigin();
+    if ( rMapMode.GetMapUnit() != MapUnit::MapRelative )
+    {
+        rMapRes.mnMapOfsX = aOrigin.X();
+        rMapRes.mnMapOfsY = aOrigin.Y();
+    }
+    else
+    {
+        auto nXNumerator = aScaleX.GetNumerator();
+        auto nYNumerator = aScaleY.GetNumerator();
+        assert(nXNumerator != 0 && nYNumerator != 0);
+
+        BigInt aX( rMapRes.mnMapOfsX );
+        aX *= BigInt( aScaleX.GetDenominator() );
+        if ( rMapRes.mnMapOfsX >= 0 )
+        {
+            if (nXNumerator >= 0)
+                aX += BigInt(nXNumerator / 2);
+            else
+                aX -= BigInt((nXNumerator + 1) / 2);
+        }
+        else
+        {
+            if (nXNumerator >= 0 )
+                aX -= BigInt((nXNumerator - 1) / 2);
+            else
+                aX += BigInt(nXNumerator / 2);
+        }
+        aX /= BigInt(nXNumerator);
+        rMapRes.mnMapOfsX = static_cast<long>(aX) + aOrigin.X();
+        BigInt aY( rMapRes.mnMapOfsY );
+        aY *= BigInt( aScaleY.GetDenominator() );
+        if( rMapRes.mnMapOfsY >= 0 )
+        {
+            if (nYNumerator >= 0)
+                aY += BigInt(nYNumerator / 2);
+            else
+                aY -= BigInt((nYNumerator + 1) / 2);
+        }
+        else
+        {
+            if (nYNumerator >= 0)
+                aY -= BigInt((nYNumerator - 1) / 2);
+            else
+                aY += BigInt(nYNumerator / 2);
+        }
+        aY /= BigInt(nYNumerator);
+        rMapRes.mnMapOfsY = static_cast<long>(aY) + aOrigin.Y();
+    }
+
+    // calculate scaling factor according to MapMode
+    // aTemp? = rMapRes.mnMapSc? * aScale?
+    Fraction aTempX = ImplMakeFraction( rMapRes.mnMapScNumX,
+                                        aScaleX.GetNumerator(),
+                                        rMapRes.mnMapScDenomX,
+                                        aScaleX.GetDenominator() );
+    Fraction aTempY = ImplMakeFraction( rMapRes.mnMapScNumY,
+                                        aScaleY.GetNumerator(),
+                                        rMapRes.mnMapScDenomY,
+                                        aScaleY.GetDenominator() );
+    rMapRes.mnMapScNumX   = aTempX.GetNumerator();
+    rMapRes.mnMapScDenomX = aTempX.GetDenominator();
+    rMapRes.mnMapScNumY   = aTempY.GetNumerator();
+    rMapRes.mnMapScDenomY = aTempY.GetDenominator();
+}
+
+static void ImplCalcMapResolution( const MapMode& rMapMode,
+                                   long nDPIX, long nDPIY,
+                                   ImplMapRes& rMapRes,
+                                   ImplThresholdRes& rThresRes )
+{
+    ImplCalcMapResolution( rMapMode, nDPIX, nDPIY, rMapRes );
+    ImplCalcBigIntThreshold( nDPIX, nDPIY, rMapRes, rThresRes );
+}
+
+// #i75163#
+void OutputDevice::ImplInvalidateViewTransform()
+{
+    if(!mpOutDevData)
+        return;
+
+    if(mpOutDevData->mpViewTransform)
+    {
+        delete mpOutDevData->mpViewTransform;
+        mpOutDevData->mpViewTransform = nullptr;
+    }
+
+    if(mpOutDevData->mpInverseViewTransform)
+    {
+        delete mpOutDevData->mpInverseViewTransform;
+        mpOutDevData->mpInverseViewTransform = nullptr;
+    }
+}
+
+static long ImplLogicToPixel( long n, long nDPI, long nMapNum, long nMapDenom,
+                              long nThres )
+{
+    assert(nDPI > 0);
+#if (SAL_TYPES_SIZEOFLONG < 8)
+    if( (+n < nThres) && (-n < nThres) )
+    {
+        n *= nMapNum * nDPI;
+        if( nMapDenom != 1 )
+        {
+            n = (2 * n) / nMapDenom;
+            if( n < 0 ) --n; else ++n;
+            n /= 2;
+        }
+    }
+    else
+#else
+    (void) nThres;
+    assert(nMapNum >= 0);
+    assert(nMapNum == 0 || std::abs(n) < std::numeric_limits<long>::max() / nMapNum / nDPI); //detect overflows
+#endif
+    {
+        sal_Int64 n64 = n;
+        n64 *= nMapNum;
+        n64 *= nDPI;
+        if( nMapDenom == 1 )
+            n = static_cast<long>(n64);
+        else
+        {
+            n = static_cast<long>(2 * n64 / nMapDenom);
+            if( n < 0 ) --n; else ++n;
+            n /= 2;
+        }
+    }
+    return n;
+}
+
+static long ImplPixelToLogic( long n, long nDPI, long nMapNum, long nMapDenom,
+                              long nThres )
+{
+    assert(nDPI > 0);
+    long nDenom = nDPI * nMapNum;
+    if (nDenom == 0)
+    {
+        return 0;
+    }
+
+#if (SAL_TYPES_SIZEOFLONG < 8)
+    if( (+n < nThres) && (-n < nThres) )
+        n = (2 * n * nMapDenom) / nDenom;
+    else
+#else
+    (void) nThres;
+#endif
+    {
+        sal_Int64 n64 = n;
+        n64 *= nMapDenom;
+        n = static_cast<long>(2 * n64 / nDenom);
+    }
+    if( n < 0 ) --n; else ++n;
+    return (n / 2);
+}
+
+long OutputDevice::ImplLogicXToDevicePixel( long nX ) const
+{
+    if ( !mbMap )
+        return nX+mnOutOffX;
+
+    return ImplLogicToPixel( nX + maMapRes.mnMapOfsX, mnDPIX,
+                             maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                             maThresRes.mnThresLogToPixX )+mnOutOffX+mnOutOffOrigX;
+}
+
+long OutputDevice::ImplLogicYToDevicePixel( long nY ) const
+{
+    if ( !mbMap )
+        return nY+mnOutOffY;
+
+    return ImplLogicToPixel( nY + maMapRes.mnMapOfsY, mnDPIY,
+                             maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                             maThresRes.mnThresLogToPixY )+mnOutOffY+mnOutOffOrigY;
+}
+
+long OutputDevice::ImplLogicWidthToDevicePixel( long nWidth ) const
+{
+    if ( !mbMap )
+        return nWidth;
+
+    return ImplLogicToPixel( nWidth, mnDPIX,
+                             maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                             maThresRes.mnThresLogToPixX );
+}
+
+long OutputDevice::ImplLogicHeightToDevicePixel( long nHeight ) const
+{
+    if ( !mbMap )
+        return nHeight;
+
+    return ImplLogicToPixel( nHeight, mnDPIY,
+                             maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                             maThresRes.mnThresLogToPixY );
+}
+
+float OutputDevice::ImplFloatLogicHeightToDevicePixel( float fLogicHeight) const
+{
+    if( !mbMap)
+        return fLogicHeight;
+    float fPixelHeight = (fLogicHeight * mnDPIY * maMapRes.mnMapScNumY) / maMapRes.mnMapScDenomY;
+    return fPixelHeight;
+}
+
+long OutputDevice::ImplDevicePixelToLogicWidth( long nWidth ) const
+{
+    if ( !mbMap )
+        return nWidth;
+
+    return ImplPixelToLogic( nWidth, mnDPIX,
+                             maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                             maThresRes.mnThresPixToLogX );
+}
+
+long OutputDevice::ImplDevicePixelToLogicHeight( long nHeight ) const
+{
+    if ( !mbMap )
+        return nHeight;
+
+    return ImplPixelToLogic( nHeight, mnDPIY,
+                             maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                             maThresRes.mnThresPixToLogY );
+}
+
+Point OutputDevice::ImplLogicToDevicePixel( const Point& rLogicPt ) const
+{
+    if ( !mbMap )
+        return Point( rLogicPt.X()+mnOutOffX, rLogicPt.Y()+mnOutOffY );
+
+    return Point( ImplLogicToPixel( rLogicPt.X() + maMapRes.mnMapOfsX, mnDPIX,
+                                    maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                                    maThresRes.mnThresLogToPixX )+mnOutOffX+mnOutOffOrigX,
+                  ImplLogicToPixel( rLogicPt.Y() + maMapRes.mnMapOfsY, mnDPIY,
+                                    maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                                    maThresRes.mnThresLogToPixY )+mnOutOffY+mnOutOffOrigY );
+}
+
+Size OutputDevice::ImplLogicToDevicePixel( const Size& rLogicSize ) const
+{
+    if ( !mbMap )
+        return rLogicSize;
+
+    return Size( ImplLogicToPixel( rLogicSize.Width(), mnDPIX,
+                                   maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                                   maThresRes.mnThresLogToPixX ),
+                 ImplLogicToPixel( rLogicSize.Height(), mnDPIY,
+                                   maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                                   maThresRes.mnThresLogToPixY ) );
+}
+
+tools::Rectangle OutputDevice::ImplLogicToDevicePixel( const tools::Rectangle& rLogicRect ) const
+{
+    if ( rLogicRect.IsEmpty() )
+        return rLogicRect;
+
+    if ( !mbMap )
+    {
+        return tools::Rectangle( rLogicRect.Left()+mnOutOffX, rLogicRect.Top()+mnOutOffY,
+                          rLogicRect.Right()+mnOutOffX, rLogicRect.Bottom()+mnOutOffY );
+    }
+
+    return tools::Rectangle( ImplLogicToPixel( rLogicRect.Left()+maMapRes.mnMapOfsX, mnDPIX,
+                                        maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                                        maThresRes.mnThresLogToPixX )+mnOutOffX+mnOutOffOrigX,
+                      ImplLogicToPixel( rLogicRect.Top()+maMapRes.mnMapOfsY, mnDPIY,
+                                        maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                                        maThresRes.mnThresLogToPixY )+mnOutOffY+mnOutOffOrigY,
+                      ImplLogicToPixel( rLogicRect.Right()+maMapRes.mnMapOfsX, mnDPIX,
+                                        maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                                        maThresRes.mnThresLogToPixX )+mnOutOffX+mnOutOffOrigX,
+                      ImplLogicToPixel( rLogicRect.Bottom()+maMapRes.mnMapOfsY, mnDPIY,
+                                        maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                                        maThresRes.mnThresLogToPixY )+mnOutOffY+mnOutOffOrigY );
+}
+
+tools::Polygon OutputDevice::ImplLogicToDevicePixel( const tools::Polygon& rLogicPoly ) const
+{
+    if ( !mbMap && !mnOutOffX && !mnOutOffY )
+        return rLogicPoly;
+
+    sal_uInt16  i;
+    sal_uInt16  nPoints = rLogicPoly.GetSize();
+    tools::Polygon aPoly( rLogicPoly );
+
+    // get pointer to Point-array (copy data)
+    const Point* pPointAry = aPoly.GetConstPointAry();
+
+    if ( mbMap )
+    {
+        for ( i = 0; i < nPoints; i++ )
+        {
+            const Point* pPt = &(pPointAry[i]);
+            Point aPt;
+            aPt.setX( ImplLogicToPixel( pPt->X()+maMapRes.mnMapOfsX, mnDPIX,
+                                        maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                                        maThresRes.mnThresLogToPixX )+mnOutOffX+mnOutOffOrigX );
+            aPt.setY( ImplLogicToPixel( pPt->Y()+maMapRes.mnMapOfsY, mnDPIY,
+                                        maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                                        maThresRes.mnThresLogToPixY )+mnOutOffY+mnOutOffOrigY );
+            aPoly[i] = aPt;
+        }
+    }
+    else
+    {
+        for ( i = 0; i < nPoints; i++ )
+        {
+            Point aPt = pPointAry[i];
+            aPt.AdjustX(mnOutOffX );
+            aPt.AdjustY(mnOutOffY );
+            aPoly[i] = aPt;
+        }
+    }
+
+    return aPoly;
+}
+
+tools::PolyPolygon OutputDevice::ImplLogicToDevicePixel( const tools::PolyPolygon& rLogicPolyPoly ) const
+{
+    if ( !mbMap && !mnOutOffX && !mnOutOffY )
+        return rLogicPolyPoly;
+
+    tools::PolyPolygon aPolyPoly( rLogicPolyPoly );
+    sal_uInt16      nPoly = aPolyPoly.Count();
+    for( sal_uInt16 i = 0; i < nPoly; i++ )
+    {
+        tools::Polygon& rPoly = aPolyPoly[i];
+        rPoly = ImplLogicToDevicePixel( rPoly );
+    }
+    return aPolyPoly;
+}
+
+LineInfo OutputDevice::ImplLogicToDevicePixel( const LineInfo& rLineInfo ) const
+{
+    LineInfo aInfo( rLineInfo );
+
+    if( aInfo.GetStyle() == LineStyle::Dash )
+    {
+        if( aInfo.GetDotCount() && aInfo.GetDotLen() )
+            aInfo.SetDotLen( std::max( ImplLogicWidthToDevicePixel( aInfo.GetDotLen() ), 1L ) );
+        else
+            aInfo.SetDotCount( 0 );
+
+        if( aInfo.GetDashCount() && aInfo.GetDashLen() )
+            aInfo.SetDashLen( std::max( ImplLogicWidthToDevicePixel( aInfo.GetDashLen() ), 1L ) );
+        else
+            aInfo.SetDashCount( 0 );
+
+        aInfo.SetDistance( ImplLogicWidthToDevicePixel( aInfo.GetDistance() ) );
+
+        if( ( !aInfo.GetDashCount() && !aInfo.GetDotCount() ) || !aInfo.GetDistance() )
+            aInfo.SetStyle( LineStyle::Solid );
+    }
+
+    aInfo.SetWidth( ImplLogicWidthToDevicePixel( aInfo.GetWidth() ) );
+
+    return aInfo;
+}
+
+tools::Rectangle OutputDevice::ImplDevicePixelToLogic( const tools::Rectangle& rPixelRect ) const
+{
+    if ( rPixelRect.IsEmpty() )
+        return rPixelRect;
+
+    if ( !mbMap )
+    {
+        return tools::Rectangle( rPixelRect.Left()-mnOutOffX, rPixelRect.Top()-mnOutOffY,
+                          rPixelRect.Right()-mnOutOffX, rPixelRect.Bottom()-mnOutOffY );
+    }
+
+    return tools::Rectangle( ImplPixelToLogic( rPixelRect.Left()-mnOutOffX-mnOutOffOrigX, mnDPIX,
+                                        maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                                        maThresRes.mnThresPixToLogX )-maMapRes.mnMapOfsX,
+                      ImplPixelToLogic( rPixelRect.Top()-mnOutOffY-mnOutOffOrigY, mnDPIY,
+                                        maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                                        maThresRes.mnThresPixToLogY )-maMapRes.mnMapOfsY,
+                      ImplPixelToLogic( rPixelRect.Right()-mnOutOffX-mnOutOffOrigX, mnDPIX,
+                                        maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                                        maThresRes.mnThresPixToLogX )-maMapRes.mnMapOfsX,
+                      ImplPixelToLogic( rPixelRect.Bottom()-mnOutOffY-mnOutOffOrigY, mnDPIY,
+                                        maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                                        maThresRes.mnThresPixToLogY )-maMapRes.mnMapOfsY );
+}
+
+vcl::Region OutputDevice::ImplPixelToDevicePixel( const vcl::Region& rRegion ) const
+{
+    if ( !mnOutOffX && !mnOutOffY )
+        return rRegion;
+
+    vcl::Region aRegion( rRegion );
+    aRegion.Move( mnOutOffX+mnOutOffOrigX, mnOutOffY+mnOutOffOrigY );
+    return aRegion;
+}
+
+void OutputDevice::EnableMapMode( bool bEnable )
+{
+    mbMap = bEnable;
+
+    if( mpAlphaVDev )
+        mpAlphaVDev->EnableMapMode( bEnable );
+}
+
+void OutputDevice::SetMapMode()
+{
+
+    if ( mpMetaFile )
+        mpMetaFile->AddAction( new MetaMapModeAction( MapMode() ) );
+
+    if ( mbMap || !maMapMode.IsDefault() )
+    {
+        mbMap       = false;
+        maMapMode   = MapMode();
+
+        // create new objects (clip region are not re-scaled)
+        mbNewFont   = true;
+        mbInitFont  = true;
+        ImplInitMapModeObjects();
+
+        // #106426# Adapt logical offset when changing mapmode
+        mnOutOffLogicX = mnOutOffOrigX; // no mapping -> equal offsets
+        mnOutOffLogicY = mnOutOffOrigY;
+
+        // #i75163#
+        ImplInvalidateViewTransform();
+    }
+
+    if( mpAlphaVDev )
+        mpAlphaVDev->SetMapMode();
+}
+
+void OutputDevice::SetMapMode( const MapMode& rNewMapMode )
+{
+
+    bool bRelMap = (rNewMapMode.GetMapUnit() == MapUnit::MapRelative);
+
+    if ( mpMetaFile )
+    {
+        mpMetaFile->AddAction( new MetaMapModeAction( rNewMapMode ) );
+    }
+
+    // do nothing if MapMode was not changed
+    if ( maMapMode == rNewMapMode )
+        return;
+
+    if( mpAlphaVDev )
+        mpAlphaVDev->SetMapMode( rNewMapMode );
+
+     // if default MapMode calculate nothing
+    bool bOldMap = mbMap;
+    mbMap = !rNewMapMode.IsDefault();
+    if ( mbMap )
+    {
+        // if only the origin is converted, do not scale new
+        if ( (rNewMapMode.GetMapUnit() == maMapMode.GetMapUnit()) &&
+             (rNewMapMode.GetScaleX()  == maMapMode.GetScaleX())  &&
+             (rNewMapMode.GetScaleY()  == maMapMode.GetScaleY())  &&
+             (bOldMap                  == mbMap) )
+        {
+            // set offset
+            Point aOrigin = rNewMapMode.GetOrigin();
+            maMapRes.mnMapOfsX = aOrigin.X();
+            maMapRes.mnMapOfsY = aOrigin.Y();
+            maMapMode = rNewMapMode;
+
+            // #i75163#
+            ImplInvalidateViewTransform();
+
+            return;
+        }
+        if ( !bOldMap && bRelMap )
+        {
+            maMapRes.mnMapScNumX    = 1;
+            maMapRes.mnMapScNumY    = 1;
+            maMapRes.mnMapScDenomX  = mnDPIX;
+            maMapRes.mnMapScDenomY  = mnDPIY;
+            maMapRes.mnMapOfsX      = 0;
+            maMapRes.mnMapOfsY      = 0;
+        }
+
+        // calculate new MapMode-resolution
+        ImplCalcMapResolution( rNewMapMode, mnDPIX, mnDPIY, maMapRes, maThresRes );
+    }
+
+    // set new MapMode
+    if ( bRelMap )
+    {
+        Point aOrigin( maMapRes.mnMapOfsX, maMapRes.mnMapOfsY );
+        // aScale? = maMapMode.GetScale?() * rNewMapMode.GetScale?()
+        Fraction aScaleX = ImplMakeFraction( maMapMode.GetScaleX().GetNumerator(),
+                                             rNewMapMode.GetScaleX().GetNumerator(),
+                                             maMapMode.GetScaleX().GetDenominator(),
+                                             rNewMapMode.GetScaleX().GetDenominator() );
+        Fraction aScaleY = ImplMakeFraction( maMapMode.GetScaleY().GetNumerator(),
+                                             rNewMapMode.GetScaleY().GetNumerator(),
+                                             maMapMode.GetScaleY().GetDenominator(),
+                                             rNewMapMode.GetScaleY().GetDenominator() );
+        maMapMode.SetOrigin( aOrigin );
+        maMapMode.SetScaleX( aScaleX );
+        maMapMode.SetScaleY( aScaleY );
+    }
+    else
+        maMapMode = rNewMapMode;
+
+    // create new objects (clip region are not re-scaled)
+    mbNewFont   = true;
+    mbInitFont  = true;
+    ImplInitMapModeObjects();
+
+    // #106426# Adapt logical offset when changing mapmode
+    mnOutOffLogicX = ImplPixelToLogic( mnOutOffOrigX, mnDPIX,
+                                       maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                                       maThresRes.mnThresPixToLogX );
+    mnOutOffLogicY = ImplPixelToLogic( mnOutOffOrigY, mnDPIY,
+                                       maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                                       maThresRes.mnThresPixToLogY );
+
+    // #i75163#
+    ImplInvalidateViewTransform();
+}
+
+void OutputDevice::ImplInitMapModeObjects() {}
+
+void OutputDevice::SetRelativeMapMode( const MapMode& rNewMapMode )
+{
+    // do nothing if MapMode did not change
+    if ( maMapMode == rNewMapMode )
+        return;
+
+    MapUnit eOld = maMapMode.GetMapUnit();
+    MapUnit eNew = rNewMapMode.GetMapUnit();
+
+    // a?F = rNewMapMode.GetScale?() / maMapMode.GetScale?()
+    Fraction aXF = ImplMakeFraction( rNewMapMode.GetScaleX().GetNumerator(),
+                                     maMapMode.GetScaleX().GetDenominator(),
+                                     rNewMapMode.GetScaleX().GetDenominator(),
+                                     maMapMode.GetScaleX().GetNumerator() );
+    Fraction aYF = ImplMakeFraction( rNewMapMode.GetScaleY().GetNumerator(),
+                                     maMapMode.GetScaleY().GetDenominator(),
+                                     rNewMapMode.GetScaleY().GetDenominator(),
+                                     maMapMode.GetScaleY().GetNumerator() );
+
+    Point aPt( LogicToLogic( Point(), nullptr, &rNewMapMode ) );
+    if ( eNew != eOld )
+    {
+        if ( eOld > MapUnit::MapPixel )
+        {
+            SAL_WARN( "vcl.gdi", "Not implemented MapUnit" );
+        }
+        else if ( eNew > MapUnit::MapPixel )
+        {
+            SAL_WARN( "vcl.gdi", "Not implemented MapUnit" );
+        }
+        else
+        {
+            Fraction aF( aImplNumeratorAry[eNew] * aImplDenominatorAry[eOld],
+                         aImplNumeratorAry[eOld] * aImplDenominatorAry[eNew] );
+
+            // a?F =  a?F * aF
+            aXF = ImplMakeFraction( aXF.GetNumerator(),   aF.GetNumerator(),
+                                    aXF.GetDenominator(), aF.GetDenominator() );
+            aYF = ImplMakeFraction( aYF.GetNumerator(),   aF.GetNumerator(),
+                                    aYF.GetDenominator(), aF.GetDenominator() );
+            if ( eOld == MapUnit::MapPixel )
+            {
+                aXF *= Fraction( mnDPIX, 1 );
+                aYF *= Fraction( mnDPIY, 1 );
+            }
+            else if ( eNew == MapUnit::MapPixel )
+            {
+                aXF *= Fraction( 1, mnDPIX );
+                aYF *= Fraction( 1, mnDPIY );
+            }
+        }
+    }
+
+    MapMode aNewMapMode( MapUnit::MapRelative, Point( -aPt.X(), -aPt.Y() ), aXF, aYF );
+    SetMapMode( aNewMapMode );
+
+    if ( eNew != eOld )
+        maMapMode = rNewMapMode;
+
+    // #106426# Adapt logical offset when changing MapMode
+    mnOutOffLogicX = ImplPixelToLogic( mnOutOffOrigX, mnDPIX,
+                                       maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                                       maThresRes.mnThresPixToLogX );
+    mnOutOffLogicY = ImplPixelToLogic( mnOutOffOrigY, mnDPIY,
+                                       maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                                       maThresRes.mnThresPixToLogY );
+
+    if( mpAlphaVDev )
+        mpAlphaVDev->SetRelativeMapMode( rNewMapMode );
+}
+
+// #i75163#
+basegfx::B2DHomMatrix OutputDevice::GetViewTransformation() const
+{
+    if(mbMap && mpOutDevData)
+    {
+        if(!mpOutDevData->mpViewTransform)
+        {
+            mpOutDevData->mpViewTransform = new basegfx::B2DHomMatrix;
+
+            const double fScaleFactorX(static_cast<double>(mnDPIX) * static_cast<double>(maMapRes.mnMapScNumX) / static_cast<double>(maMapRes.mnMapScDenomX));
+            const double fScaleFactorY(static_cast<double>(mnDPIY) * static_cast<double>(maMapRes.mnMapScNumY) / static_cast<double>(maMapRes.mnMapScDenomY));
+            const double fZeroPointX((static_cast<double>(maMapRes.mnMapOfsX) * fScaleFactorX) + static_cast<double>(mnOutOffOrigX));
+            const double fZeroPointY((static_cast<double>(maMapRes.mnMapOfsY) * fScaleFactorY) + static_cast<double>(mnOutOffOrigY));
+
+            mpOutDevData->mpViewTransform->set(0, 0, fScaleFactorX);
+            mpOutDevData->mpViewTransform->set(1, 1, fScaleFactorY);
+            mpOutDevData->mpViewTransform->set(0, 2, fZeroPointX);
+            mpOutDevData->mpViewTransform->set(1, 2, fZeroPointY);
+        }
+
+        return *mpOutDevData->mpViewTransform;
+    }
+    else
+    {
+        return basegfx::B2DHomMatrix();
+    }
+}
+
+// #i75163#
+basegfx::B2DHomMatrix OutputDevice::GetInverseViewTransformation() const
+{
+    if(mbMap && mpOutDevData)
+    {
+        if(!mpOutDevData->mpInverseViewTransform)
+        {
+            GetViewTransformation();
+            mpOutDevData->mpInverseViewTransform = new basegfx::B2DHomMatrix(*mpOutDevData->mpViewTransform);
+            mpOutDevData->mpInverseViewTransform->invert();
+        }
+
+        return *mpOutDevData->mpInverseViewTransform;
+    }
+    else
+    {
+        return basegfx::B2DHomMatrix();
+    }
+}
+
+// #i75163#
+basegfx::B2DHomMatrix OutputDevice::GetViewTransformation( const MapMode& rMapMode ) const
+{
+    // #i82615#
+    ImplMapRes          aMapRes;
+    ImplThresholdRes    aThresRes;
+    ImplCalcMapResolution( rMapMode, mnDPIX, mnDPIY, aMapRes, aThresRes );
+
+    basegfx::B2DHomMatrix aTransform;
+
+    const double fScaleFactorX(static_cast<double>(mnDPIX) * static_cast<double>(aMapRes.mnMapScNumX) / static_cast<double>(aMapRes.mnMapScDenomX));
+    const double fScaleFactorY(static_cast<double>(mnDPIY) * static_cast<double>(aMapRes.mnMapScNumY) / static_cast<double>(aMapRes.mnMapScDenomY));
+    const double fZeroPointX((static_cast<double>(aMapRes.mnMapOfsX) * fScaleFactorX) + static_cast<double>(mnOutOffOrigX));
+    const double fZeroPointY((static_cast<double>(aMapRes.mnMapOfsY) * fScaleFactorY) + static_cast<double>(mnOutOffOrigY));
+
+    aTransform.set(0, 0, fScaleFactorX);
+    aTransform.set(1, 1, fScaleFactorY);
+    aTransform.set(0, 2, fZeroPointX);
+    aTransform.set(1, 2, fZeroPointY);
+
+    return aTransform;
+}
+
+// #i75163#
+basegfx::B2DHomMatrix OutputDevice::GetInverseViewTransformation( const MapMode& rMapMode ) const
+{
+    basegfx::B2DHomMatrix aMatrix( GetViewTransformation( rMapMode ) );
+    aMatrix.invert();
+    return aMatrix;
+}
+
+basegfx::B2DHomMatrix OutputDevice::ImplGetDeviceTransformation() const
+{
+    basegfx::B2DHomMatrix aTransformation = GetViewTransformation();
+    // TODO: is it worth to cache the transformed result?
+    if( mnOutOffX || mnOutOffY )
+        aTransformation.translate( mnOutOffX, mnOutOffY );
+    return aTransformation;
+}
+
+Point OutputDevice::LogicToPixel( const Point& rLogicPt ) const
+{
+
+    if ( !mbMap )
+        return rLogicPt;
+
+    return Point( ImplLogicToPixel( rLogicPt.X() + maMapRes.mnMapOfsX, mnDPIX,
+                                    maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                                    maThresRes.mnThresLogToPixX )+mnOutOffOrigX,
+                  ImplLogicToPixel( rLogicPt.Y() + maMapRes.mnMapOfsY, mnDPIY,
+                                    maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                                    maThresRes.mnThresLogToPixY )+mnOutOffOrigY );
+}
+
+Size OutputDevice::LogicToPixel( const Size& rLogicSize ) const
+{
+
+    if ( !mbMap )
+        return rLogicSize;
+
+    return Size( ImplLogicToPixel( rLogicSize.Width(), mnDPIX,
+                                   maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                                   maThresRes.mnThresLogToPixX ),
+                 ImplLogicToPixel( rLogicSize.Height(), mnDPIY,
+                                   maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                                   maThresRes.mnThresLogToPixY ) );
+}
+
+tools::Rectangle OutputDevice::LogicToPixel( const tools::Rectangle& rLogicRect ) const
+{
+
+    if ( !mbMap || rLogicRect.IsEmpty() )
+        return rLogicRect;
+
+    return tools::Rectangle( ImplLogicToPixel( rLogicRect.Left() + maMapRes.mnMapOfsX, mnDPIX,
+                                        maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                                        maThresRes.mnThresLogToPixX )+mnOutOffOrigX,
+                      ImplLogicToPixel( rLogicRect.Top() + maMapRes.mnMapOfsY, mnDPIY,
+                                        maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                                        maThresRes.mnThresLogToPixY )+mnOutOffOrigY,
+                      ImplLogicToPixel( rLogicRect.Right() + maMapRes.mnMapOfsX, mnDPIX,
+                                        maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                                        maThresRes.mnThresLogToPixX )+mnOutOffOrigX,
+                      ImplLogicToPixel( rLogicRect.Bottom() + maMapRes.mnMapOfsY, mnDPIY,
+                                        maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                                        maThresRes.mnThresLogToPixY )+mnOutOffOrigY );
+}
+
+tools::Polygon OutputDevice::LogicToPixel( const tools::Polygon& rLogicPoly ) const
+{
+
+    if ( !mbMap )
+        return rLogicPoly;
+
+    sal_uInt16  i;
+    sal_uInt16  nPoints = rLogicPoly.GetSize();
+    tools::Polygon aPoly( rLogicPoly );
+
+    // get pointer to Point-array (copy data)
+    const Point* pPointAry = aPoly.GetConstPointAry();
+
+    for ( i = 0; i < nPoints; i++ )
+    {
+        const Point* pPt = &(pPointAry[i]);
+        Point aPt;
+        aPt.setX( ImplLogicToPixel( pPt->X() + maMapRes.mnMapOfsX, mnDPIX,
+                                    maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                                    maThresRes.mnThresLogToPixX )+mnOutOffOrigX );
+        aPt.setY( ImplLogicToPixel( pPt->Y() + maMapRes.mnMapOfsY, mnDPIY,
+                                    maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                                    maThresRes.mnThresLogToPixY )+mnOutOffOrigY );
+        aPoly[i] = aPt;
+    }
+
+    return aPoly;
+}
+
+tools::PolyPolygon OutputDevice::LogicToPixel( const tools::PolyPolygon& rLogicPolyPoly ) const
+{
+
+    if ( !mbMap )
+        return rLogicPolyPoly;
+
+    tools::PolyPolygon aPolyPoly( rLogicPolyPoly );
+    sal_uInt16      nPoly = aPolyPoly.Count();
+    for( sal_uInt16 i = 0; i < nPoly; i++ )
+    {
+        tools::Polygon& rPoly = aPolyPoly[i];
+        rPoly = LogicToPixel( rPoly );
+    }
+    return aPolyPoly;
+}
+
+basegfx::B2DPolyPolygon OutputDevice::LogicToPixel( const basegfx::B2DPolyPolygon& rLogicPolyPoly ) const
+{
+    basegfx::B2DPolyPolygon aTransformedPoly = rLogicPolyPoly;
+    const basegfx::B2DHomMatrix& rTransformationMatrix = GetViewTransformation();
+    aTransformedPoly.transform( rTransformationMatrix );
+    return aTransformedPoly;
+}
+
+vcl::Region OutputDevice::LogicToPixel( const vcl::Region& rLogicRegion ) const
+{
+
+    if(!mbMap || rLogicRegion.IsNull() || rLogicRegion.IsEmpty())
+    {
+        return rLogicRegion;
+    }
+
+    vcl::Region aRegion;
+
+    if(rLogicRegion.getB2DPolyPolygon())
+    {
+        aRegion = vcl::Region(LogicToPixel(*rLogicRegion.getB2DPolyPolygon()));
+    }
+    else if(rLogicRegion.getPolyPolygon())
+    {
+        aRegion = vcl::Region(LogicToPixel(*rLogicRegion.getPolyPolygon()));
+    }
+    else if(rLogicRegion.getRegionBand())
+    {
+        RectangleVector aRectangles;
+        rLogicRegion.GetRegionRectangles(aRectangles);
+        const RectangleVector& rRectangles(aRectangles); // needed to make the '!=' work
+
+        // make reverse run to fill new region bottom-up, this will speed it up due to the used data structuring
+        for(RectangleVector::const_reverse_iterator aRectIter(rRectangles.rbegin()); aRectIter != rRectangles.rend(); ++aRectIter)
+        {
+            aRegion.Union(LogicToPixel(*aRectIter));
+        }
+    }
+
+    return aRegion;
+}
+
+Point OutputDevice::LogicToPixel( const Point& rLogicPt,
+                                  const MapMode& rMapMode ) const
+{
+
+    if ( rMapMode.IsDefault() )
+        return rLogicPt;
+
+    // convert MapMode resolution and convert
+    ImplMapRes          aMapRes;
+    ImplThresholdRes    aThresRes;
+    ImplCalcMapResolution( rMapMode, mnDPIX, mnDPIY, aMapRes, aThresRes );
+
+    return Point( ImplLogicToPixel( rLogicPt.X() + aMapRes.mnMapOfsX, mnDPIX,
+                                    aMapRes.mnMapScNumX, aMapRes.mnMapScDenomX,
+                                    aThresRes.mnThresLogToPixX )+mnOutOffOrigX,
+                  ImplLogicToPixel( rLogicPt.Y() + aMapRes.mnMapOfsY, mnDPIY,
+                                    aMapRes.mnMapScNumY, aMapRes.mnMapScDenomY,
+                                    aThresRes.mnThresLogToPixY )+mnOutOffOrigY );
+}
+
+Size OutputDevice::LogicToPixel( const Size& rLogicSize,
+                                 const MapMode& rMapMode ) const
+{
+
+    if ( rMapMode.IsDefault() )
+        return rLogicSize;
+
+    // convert MapMode resolution and convert
+    ImplMapRes          aMapRes;
+    ImplThresholdRes    aThresRes;
+    ImplCalcMapResolution( rMapMode, mnDPIX, mnDPIY, aMapRes, aThresRes );
+
+    return Size( ImplLogicToPixel( rLogicSize.Width(), mnDPIX,
+                                   aMapRes.mnMapScNumX, aMapRes.mnMapScDenomX,
+                                   aThresRes.mnThresLogToPixX ),
+                 ImplLogicToPixel( rLogicSize.Height(), mnDPIY,
+                                   aMapRes.mnMapScNumY, aMapRes.mnMapScDenomY,
+                                   aThresRes.mnThresLogToPixY ) );
+}
+
+tools::Rectangle OutputDevice::LogicToPixel( const tools::Rectangle& rLogicRect,
+                                      const MapMode& rMapMode ) const
+{
+
+    if ( rMapMode.IsDefault() || rLogicRect.IsEmpty() )
+        return rLogicRect;
+
+    // convert MapMode resolution and convert
+    ImplMapRes          aMapRes;
+    ImplThresholdRes    aThresRes;
+    ImplCalcMapResolution( rMapMode, mnDPIX, mnDPIY, aMapRes, aThresRes );
+
+    return tools::Rectangle( ImplLogicToPixel( rLogicRect.Left() + aMapRes.mnMapOfsX, mnDPIX,
+                                        aMapRes.mnMapScNumX, aMapRes.mnMapScDenomX,
+                                        aThresRes.mnThresLogToPixX )+mnOutOffOrigX,
+                      ImplLogicToPixel( rLogicRect.Top() + aMapRes.mnMapOfsY, mnDPIY,
+                                        aMapRes.mnMapScNumY, aMapRes.mnMapScDenomY,
+                                        aThresRes.mnThresLogToPixY )+mnOutOffOrigY,
+                      ImplLogicToPixel( rLogicRect.Right() + aMapRes.mnMapOfsX, mnDPIX,
+                                        aMapRes.mnMapScNumX, aMapRes.mnMapScDenomX,
+                                        aThresRes.mnThresLogToPixX )+mnOutOffOrigX,
+                      ImplLogicToPixel( rLogicRect.Bottom() + aMapRes.mnMapOfsY, mnDPIY,
+                                        aMapRes.mnMapScNumY, aMapRes.mnMapScDenomY,
+                                        aThresRes.mnThresLogToPixY )+mnOutOffOrigY );
+}
+
+tools::Polygon OutputDevice::LogicToPixel( const tools::Polygon& rLogicPoly,
+                                           const MapMode& rMapMode ) const
+{
+
+    if ( rMapMode.IsDefault() )
+        return rLogicPoly;
+
+    // convert MapMode resolution and convert
+    ImplMapRes          aMapRes;
+    ImplThresholdRes    aThresRes;
+    ImplCalcMapResolution( rMapMode, mnDPIX, mnDPIY, aMapRes, aThresRes );
+
+    sal_uInt16  i;
+    sal_uInt16  nPoints = rLogicPoly.GetSize();
+    tools::Polygon aPoly( rLogicPoly );
+
+    // get pointer to Point-array (copy data)
+    const Point* pPointAry = aPoly.GetConstPointAry();
+
+    for ( i = 0; i < nPoints; i++ )
+    {
+        const Point* pPt = &(pPointAry[i]);
+        Point aPt;
+        aPt.setX( ImplLogicToPixel( pPt->X() + aMapRes.mnMapOfsX, mnDPIX,
+                                    aMapRes.mnMapScNumX, aMapRes.mnMapScDenomX,
+                                    aThresRes.mnThresLogToPixX )+mnOutOffOrigX );
+        aPt.setY( ImplLogicToPixel( pPt->Y() + aMapRes.mnMapOfsY, mnDPIY,
+                                    aMapRes.mnMapScNumY, aMapRes.mnMapScDenomY,
+                                    aThresRes.mnThresLogToPixY )+mnOutOffOrigY );
+        aPoly[i] = aPt;
+    }
+
+    return aPoly;
+}
+
+basegfx::B2DPolyPolygon OutputDevice::LogicToPixel( const basegfx::B2DPolyPolygon& rLogicPolyPoly,
+                                                    const MapMode& rMapMode ) const
+{
+    basegfx::B2DPolyPolygon aTransformedPoly = rLogicPolyPoly;
+    const basegfx::B2DHomMatrix& rTransformationMatrix = GetViewTransformation( rMapMode );
+    aTransformedPoly.transform( rTransformationMatrix );
+    return aTransformedPoly;
+}
+
+Point OutputDevice::PixelToLogic( const Point& rDevicePt ) const
+{
+
+    if ( !mbMap )
+        return rDevicePt;
+
+    return Point( ImplPixelToLogic( rDevicePt.X(), mnDPIX,
+                                    maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                                    maThresRes.mnThresPixToLogX ) - maMapRes.mnMapOfsX - mnOutOffLogicX,
+                  ImplPixelToLogic( rDevicePt.Y(), mnDPIY,
+                                    maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                                    maThresRes.mnThresPixToLogY ) - maMapRes.mnMapOfsY - mnOutOffLogicY );
+}
+
+Size OutputDevice::PixelToLogic( const Size& rDeviceSize ) const
+{
+
+    if ( !mbMap )
+        return rDeviceSize;
+
+    return Size( ImplPixelToLogic( rDeviceSize.Width(), mnDPIX,
+                                   maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                                   maThresRes.mnThresPixToLogX ),
+                 ImplPixelToLogic( rDeviceSize.Height(), mnDPIY,
+                                   maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                                   maThresRes.mnThresPixToLogY ) );
+}
+
+tools::Rectangle OutputDevice::PixelToLogic( const tools::Rectangle& rDeviceRect ) const
+{
+
+    if ( !mbMap || rDeviceRect.IsEmpty() )
+        return rDeviceRect;
+
+    return tools::Rectangle( ImplPixelToLogic( rDeviceRect.Left(), mnDPIX,
+                                        maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                                        maThresRes.mnThresPixToLogX ) - maMapRes.mnMapOfsX - mnOutOffLogicX,
+                      ImplPixelToLogic( rDeviceRect.Top(), mnDPIY,
+                                        maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                                        maThresRes.mnThresPixToLogY ) - maMapRes.mnMapOfsY - mnOutOffLogicY,
+                      ImplPixelToLogic( rDeviceRect.Right(), mnDPIX,
+                                        maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                                        maThresRes.mnThresPixToLogX ) - maMapRes.mnMapOfsX - mnOutOffLogicX,
+                      ImplPixelToLogic( rDeviceRect.Bottom(), mnDPIY,
+                                        maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                                        maThresRes.mnThresPixToLogY ) - maMapRes.mnMapOfsY - mnOutOffLogicY );
+}
+
+tools::Polygon OutputDevice::PixelToLogic( const tools::Polygon& rDevicePoly ) const
+{
+
+    if ( !mbMap )
+        return rDevicePoly;
+
+    sal_uInt16  i;
+    sal_uInt16  nPoints = rDevicePoly.GetSize();
+    tools::Polygon aPoly( rDevicePoly );
+
+    // get pointer to Point-array (copy data)
+    const Point* pPointAry = aPoly.GetConstPointAry();
+
+    for ( i = 0; i < nPoints; i++ )
+    {
+        const Point* pPt = &(pPointAry[i]);
+        Point aPt;
+        aPt.setX( ImplPixelToLogic( pPt->X(), mnDPIX,
+                                    maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                                    maThresRes.mnThresPixToLogX ) - maMapRes.mnMapOfsX - mnOutOffLogicX );
+        aPt.setY( ImplPixelToLogic( pPt->Y(), mnDPIY,
+                                    maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                                    maThresRes.mnThresPixToLogY ) - maMapRes.mnMapOfsY - mnOutOffLogicY );
+        aPoly[i] = aPt;
+    }
+
+    return aPoly;
+}
+
+tools::PolyPolygon OutputDevice::PixelToLogic( const tools::PolyPolygon& rDevicePolyPoly ) const
+{
+
+    if ( !mbMap )
+        return rDevicePolyPoly;
+
+    tools::PolyPolygon aPolyPoly( rDevicePolyPoly );
+    sal_uInt16      nPoly = aPolyPoly.Count();
+    for( sal_uInt16 i = 0; i < nPoly; i++ )
+    {
+        tools::Polygon& rPoly = aPolyPoly[i];
+        rPoly = PixelToLogic( rPoly );
+    }
+    return aPolyPoly;
+}
+
+basegfx::B2DPolyPolygon OutputDevice::PixelToLogic( const basegfx::B2DPolyPolygon& rPixelPolyPoly ) const
+{
+    basegfx::B2DPolyPolygon aTransformedPoly = rPixelPolyPoly;
+    const basegfx::B2DHomMatrix& rTransformationMatrix = GetInverseViewTransformation();
+    aTransformedPoly.transform( rTransformationMatrix );
+    return aTransformedPoly;
+}
+
+vcl::Region OutputDevice::PixelToLogic( const vcl::Region& rDeviceRegion ) const
+{
+
+    if(!mbMap || rDeviceRegion.IsNull() || rDeviceRegion.IsEmpty())
+    {
+        return rDeviceRegion;
+    }
+
+    vcl::Region aRegion;
+
+    if(rDeviceRegion.getB2DPolyPolygon())
+    {
+        aRegion = vcl::Region(PixelToLogic(*rDeviceRegion.getB2DPolyPolygon()));
+    }
+    else if(rDeviceRegion.getPolyPolygon())
+    {
+        aRegion = vcl::Region(PixelToLogic(*rDeviceRegion.getPolyPolygon()));
+    }
+    else if(rDeviceRegion.getRegionBand())
+    {
+        RectangleVector aRectangles;
+        rDeviceRegion.GetRegionRectangles(aRectangles);
+        const RectangleVector& rRectangles(aRectangles); // needed to make the '!=' work
+
+        // make reverse run to fill new region bottom-up, this will speed it up due to the used data structuring
+        for(RectangleVector::const_reverse_iterator aRectIter(rRectangles.rbegin()); aRectIter != rRectangles.rend(); ++aRectIter)
+        {
+            aRegion.Union(PixelToLogic(*aRectIter));
+        }
+    }
+
+    return aRegion;
+}
+
+Point OutputDevice::PixelToLogic( const Point& rDevicePt,
+                                  const MapMode& rMapMode ) const
+{
+
+    // calculate nothing if default-MapMode
+    if ( rMapMode.IsDefault() )
+        return rDevicePt;
+
+    // calculate MapMode-resolution and convert
+    ImplMapRes          aMapRes;
+    ImplThresholdRes    aThresRes;
+    ImplCalcMapResolution( rMapMode, mnDPIX, mnDPIY, aMapRes, aThresRes );
+
+    return Point( ImplPixelToLogic( rDevicePt.X(), mnDPIX,
+                                    aMapRes.mnMapScNumX, aMapRes.mnMapScDenomX,
+                                    aThresRes.mnThresPixToLogX ) - aMapRes.mnMapOfsX - mnOutOffLogicX,
+                  ImplPixelToLogic( rDevicePt.Y(), mnDPIY,
+                                    aMapRes.mnMapScNumY, aMapRes.mnMapScDenomY,
+                                    aThresRes.mnThresPixToLogY ) - aMapRes.mnMapOfsY - mnOutOffLogicY );
+}
+
+Size OutputDevice::PixelToLogic( const Size& rDeviceSize,
+                                 const MapMode& rMapMode ) const
+{
+
+    // calculate nothing if default-MapMode
+    if ( rMapMode.IsDefault() )
+        return rDeviceSize;
+
+    // calculate MapMode-resolution and convert
+    ImplMapRes          aMapRes;
+    ImplThresholdRes    aThresRes;
+    ImplCalcMapResolution( rMapMode, mnDPIX, mnDPIY, aMapRes, aThresRes );
+
+    return Size( ImplPixelToLogic( rDeviceSize.Width(), mnDPIX,
+                                   aMapRes.mnMapScNumX, aMapRes.mnMapScDenomX,
+                                   aThresRes.mnThresPixToLogX ),
+                 ImplPixelToLogic( rDeviceSize.Height(), mnDPIY,
+                                   aMapRes.mnMapScNumY, aMapRes.mnMapScDenomY,
+                                   aThresRes.mnThresPixToLogY ) );
+}
+
+tools::Rectangle OutputDevice::PixelToLogic( const tools::Rectangle& rDeviceRect,
+                                      const MapMode& rMapMode ) const
+{
+
+    // calculate nothing if default-MapMode
+    if ( rMapMode.IsDefault() || rDeviceRect.IsEmpty() )
+        return rDeviceRect;
+
+    // calculate MapMode-resolution and convert
+    ImplMapRes          aMapRes;
+    ImplThresholdRes    aThresRes;
+    ImplCalcMapResolution( rMapMode, mnDPIX, mnDPIY, aMapRes, aThresRes );
+
+    return tools::Rectangle( ImplPixelToLogic( rDeviceRect.Left(), mnDPIX,
+                                        aMapRes.mnMapScNumX, aMapRes.mnMapScDenomX,
+                                        aThresRes.mnThresPixToLogX ) - aMapRes.mnMapOfsX - mnOutOffLogicX,
+                      ImplPixelToLogic( rDeviceRect.Top(), mnDPIY,
+                                        aMapRes.mnMapScNumY, aMapRes.mnMapScDenomY,
+                                        aThresRes.mnThresPixToLogY ) - aMapRes.mnMapOfsY - mnOutOffLogicY,
+                      ImplPixelToLogic( rDeviceRect.Right(), mnDPIX,
+                                        aMapRes.mnMapScNumX, aMapRes.mnMapScDenomX,
+                                        aThresRes.mnThresPixToLogX ) - aMapRes.mnMapOfsX - mnOutOffLogicX,
+                      ImplPixelToLogic( rDeviceRect.Bottom(), mnDPIY,
+                                        aMapRes.mnMapScNumY, aMapRes.mnMapScDenomY,
+                                        aThresRes.mnThresPixToLogY ) - aMapRes.mnMapOfsY - mnOutOffLogicY );
+}
+
+tools::Polygon OutputDevice::PixelToLogic( const tools::Polygon& rDevicePoly,
+                                           const MapMode& rMapMode ) const
+{
+
+    // calculate nothing if default-MapMode
+    if ( rMapMode.IsDefault() )
+        return rDevicePoly;
+
+    // calculate MapMode-resolution and convert
+    ImplMapRes          aMapRes;
+    ImplThresholdRes    aThresRes;
+    ImplCalcMapResolution( rMapMode, mnDPIX, mnDPIY, aMapRes, aThresRes );
+
+    sal_uInt16  i;
+    sal_uInt16  nPoints = rDevicePoly.GetSize();
+    tools::Polygon aPoly( rDevicePoly );
+
+    // get pointer to Point-array (copy data)
+    const Point* pPointAry = aPoly.GetConstPointAry();
+
+    for ( i = 0; i < nPoints; i++ )
+    {
+        const Point* pPt = &(pPointAry[i]);
+        Point aPt;
+        aPt.setX( ImplPixelToLogic( pPt->X(), mnDPIX,
+                                    aMapRes.mnMapScNumX, aMapRes.mnMapScDenomX,
+                                    aThresRes.mnThresPixToLogX ) - aMapRes.mnMapOfsX - mnOutOffLogicX );
+        aPt.setY( ImplPixelToLogic( pPt->Y(), mnDPIY,
+                                    aMapRes.mnMapScNumY, aMapRes.mnMapScDenomY,
+                                    aThresRes.mnThresPixToLogY ) - aMapRes.mnMapOfsY - mnOutOffLogicY );
+        aPoly[i] = aPt;
+    }
+
+    return aPoly;
+}
+
+basegfx::B2DPolygon OutputDevice::PixelToLogic( const basegfx::B2DPolygon& rPixelPoly,
+                                                const MapMode& rMapMode ) const
+{
+    basegfx::B2DPolygon aTransformedPoly = rPixelPoly;
+    const basegfx::B2DHomMatrix& rTransformationMatrix = GetInverseViewTransformation( rMapMode );
+    aTransformedPoly.transform( rTransformationMatrix );
+    return aTransformedPoly;
+}
+
+basegfx::B2DPolyPolygon OutputDevice::PixelToLogic( const basegfx::B2DPolyPolygon& rPixelPolyPoly,
+                                                    const MapMode& rMapMode ) const
+{
+    basegfx::B2DPolyPolygon aTransformedPoly = rPixelPolyPoly;
+    const basegfx::B2DHomMatrix& rTransformationMatrix = GetInverseViewTransformation( rMapMode );
+    aTransformedPoly.transform( rTransformationMatrix );
+    return aTransformedPoly;
+}
+
+#define ENTER1( rSource, pMapModeSource, pMapModeDest )                 \
+    if ( !pMapModeSource )                                              \
+        pMapModeSource = &maMapMode;                                    \
+    if ( !pMapModeDest )                                                \
+        pMapModeDest = &maMapMode;                                      \
+    if ( *pMapModeSource == *pMapModeDest )                             \
+        return rSource;                                                 \
+                                                                        \
+    ImplMapRes aMapResSource;                                           \
+    aMapResSource.mnMapOfsX          = 0;                               \
+    aMapResSource.mnMapOfsY          = 0;                               \
+    aMapResSource.mnMapScNumX        = 1;                               \
+    aMapResSource.mnMapScNumY        = 1;                               \
+    aMapResSource.mnMapScDenomX      = 1;                               \
+    aMapResSource.mnMapScDenomY      = 1;                               \
+    ImplMapRes aMapResDest(aMapResSource);                              \
+                                                                        \
+    if ( !mbMap || pMapModeSource != &maMapMode )                       \
+    {                                                                   \
+        if ( pMapModeSource->GetMapUnit() == MapUnit::MapRelative )             \
+            aMapResSource = maMapRes;                                   \
+        ImplCalcMapResolution( *pMapModeSource,                         \
+                               mnDPIX, mnDPIY, aMapResSource );         \
+    }                                                                   \
+    else                                                                \
+        aMapResSource = maMapRes;                                       \
+    if ( !mbMap || pMapModeDest != &maMapMode )                         \
+    {                                                                   \
+        if ( pMapModeDest->GetMapUnit() == MapUnit::MapRelative )               \
+            aMapResDest = maMapRes;                                     \
+        ImplCalcMapResolution( *pMapModeDest,                           \
+                               mnDPIX, mnDPIY, aMapResDest );           \
+    }                                                                   \
+    else                                                                \
+        aMapResDest = maMapRes
+
+static void verifyUnitSourceDest( MapUnit eUnitSource, MapUnit eUnitDest )
+{
+    DBG_ASSERT( eUnitSource != MapUnit::MapSysFont
+                && eUnitSource != MapUnit::MapAppFont
+                && eUnitSource != MapUnit::MapRelative,
+                "Source MapUnit is not permitted" );
+    DBG_ASSERT( eUnitDest != MapUnit::MapSysFont
+                && eUnitDest != MapUnit::MapAppFont
+                && eUnitDest != MapUnit::MapRelative,
+                "Destination MapUnit is not permitted" );
+}
+
+#define ENTER3( eUnitSource, eUnitDest )                                \
+    long nNumerator      = 1;       \
+    long nDenominator    = 1;       \
+    SAL_WARN_IF( eUnitSource > s_MaxValidUnit, "vcl.gdi", "Invalid source map unit");    \
+    SAL_WARN_IF( eUnitDest > s_MaxValidUnit, "vcl.gdi", "Invalid destination map unit"); \
+    if( (eUnitSource <= s_MaxValidUnit) && (eUnitDest <= s_MaxValidUnit) )  \
+    {   \
+        nNumerator   = aImplNumeratorAry[eUnitSource] *             \
+                           aImplDenominatorAry[eUnitDest];              \
+        nDenominator     = aImplNumeratorAry[eUnitDest] *               \
+                           aImplDenominatorAry[eUnitSource];            \
+    } \
+    if ( eUnitSource == MapUnit::MapPixel )                                     \
+        nDenominator *= 72;                                             \
+    else if( eUnitDest == MapUnit::MapPixel )                                   \
+        nNumerator *= 72
+
+#define ENTER4( rMapModeSource, rMapModeDest )                          \
+    ImplMapRes aMapResSource;                                           \
+    aMapResSource.mnMapOfsX          = 0;                               \
+    aMapResSource.mnMapOfsY          = 0;                               \
+    aMapResSource.mnMapScNumX        = 1;                               \
+    aMapResSource.mnMapScNumY        = 1;                               \
+    aMapResSource.mnMapScDenomX      = 1;                               \
+    aMapResSource.mnMapScDenomY      = 1;                               \
+    ImplMapRes aMapResDest(aMapResSource);                              \
+                                                                        \
+    ImplCalcMapResolution( rMapModeSource, 72, 72, aMapResSource );     \
+    ImplCalcMapResolution( rMapModeDest, 72, 72, aMapResDest )
+
+// return (n1 * n2 * n3) / (n4 * n5)
+static long fn5( const long n1,
+                 const long n2,
+                 const long n3,
+                 const long n4,
+                 const long n5 )
+{
+    if ( n1 == 0 || n2 == 0 || n3 == 0 || n4 == 0 || n5 == 0 )
+        return 0;
+    if ( LONG_MAX / std::abs(n2) < std::abs(n3) )
+    {
+        // a6 is skipped
+        BigInt a7 = n2;
+        a7 *= n3;
+        a7 *= n1;
+
+        if ( LONG_MAX / std::abs(n4) < std::abs(n5) )
+        {
+            BigInt a8 = n4;
+            a8 *= n5;
+
+            BigInt a9 = a8;
+            a9 /= 2;
+            if ( a7.IsNeg() )
+                a7 -= a9;
+            else
+                a7 += a9;
+
+            a7 /= a8;
+        } // of if
+        else
+        {
+            long n8 = n4 * n5;
+
+            if ( a7.IsNeg() )
+                a7 -= n8 / 2;
+            else
+                a7 += n8 / 2;
+
+            a7 /= n8;
+        } // of else
+        return static_cast<long>(a7);
+    } // of if
+    else
+    {
+        long n6 = n2 * n3;
+
+        if ( LONG_MAX / std::abs(n1) < std::abs(n6) )
+        {
+            BigInt a7 = n1;
+            a7 *= n6;
+
+            if ( LONG_MAX / std::abs(n4) < std::abs(n5) )
+            {
+                BigInt a8 = n4;
+                a8 *= n5;
+
+                BigInt a9 = a8;
+                a9 /= 2;
+                if ( a7.IsNeg() )
+                    a7 -= a9;
+                else
+                    a7 += a9;
+
+                a7 /= a8;
+            } // of if
+            else
+            {
+                long n8 = n4 * n5;
+
+                if ( a7.IsNeg() )
+                    a7 -= n8 / 2;
+                else
+                    a7 += n8 / 2;
+
+                a7 /= n8;
+            } // of else
+            return static_cast<long>(a7);
+        } // of if
+        else
+        {
+            long n7 = n1 * n6;
+
+            if ( LONG_MAX / std::abs(n4) < std::abs(n5) )
+            {
+                BigInt a7 = n7;
+                BigInt a8 = n4;
+                a8 *= n5;
+
+                BigInt a9 = a8;
+                a9 /= 2;
+                if ( a7.IsNeg() )
+                    a7 -= a9;
+                else
+                    a7 += a9;
+
+                a7 /= a8;
+                return static_cast<long>(a7);
+            } // of if
+            else
+            {
+                const long n8 = n4 * n5;
+                const long n8_2 = n8 / 2;
+
+                if( n7 < 0 )
+                {
+                    if( ( n7 - LONG_MIN ) >= n8_2 )
+                        n7 -= n8_2;
+                }
+                else if( ( LONG_MAX - n7 ) >= n8_2 )
+                    n7 += n8_2;
+
+                return n7 / n8;
+            } // of else
+        } // of else
+    } // of else
+}
+
+// return (n1 * n2) / n3
+static long fn3( const long n1, const long n2, const long n3 )
+{
+    if ( n1 == 0 || n2 == 0 || n3 == 0 )
+        return 0;
+    if ( LONG_MAX / std::abs(n1) < std::abs(n2) )
+    {
+        BigInt a4 = n1;
+        a4 *= n2;
+
+        if ( a4.IsNeg() )
+            a4 -= n3 / 2;
+        else
+            a4 += n3 / 2;
+
+        a4 /= n3;
+        return static_cast<long>(a4);
+    } // of if
+    else
+    {
+        long        n4 = n1 * n2;
+        const long  n3_2 = n3 / 2;
+
+        if( n4 < 0 )
+        {
+            if( ( n4 - LONG_MIN ) >= n3_2 )
+                n4 -= n3_2;
+        }
+        else if( ( LONG_MAX - n4 ) >= n3_2 )
+            n4 += n3_2;
+
+        return n4 / n3;
+    } // of else
+}
+
+Point OutputDevice::LogicToLogic( const Point& rPtSource,
+                                  const MapMode* pMapModeSource,
+                                  const MapMode* pMapModeDest ) const
+{
+    ENTER1( rPtSource, pMapModeSource, pMapModeDest );
+
+    return Point( fn5( rPtSource.X() + aMapResSource.mnMapOfsX,
+                       aMapResSource.mnMapScNumX, aMapResDest.mnMapScDenomX,
+                       aMapResSource.mnMapScDenomX, aMapResDest.mnMapScNumX ) -
+                  aMapResDest.mnMapOfsX,
+                  fn5( rPtSource.Y() + aMapResSource.mnMapOfsY,
+                       aMapResSource.mnMapScNumY, aMapResDest.mnMapScDenomY,
+                       aMapResSource.mnMapScDenomY, aMapResDest.mnMapScNumY ) -
+                  aMapResDest.mnMapOfsY );
+}
+
+Size OutputDevice::LogicToLogic( const Size& rSzSource,
+                                 const MapMode* pMapModeSource,
+                                 const MapMode* pMapModeDest ) const
+{
+    ENTER1( rSzSource, pMapModeSource, pMapModeDest );
+
+    return Size( fn5( rSzSource.Width(),
+                      aMapResSource.mnMapScNumX, aMapResDest.mnMapScDenomX,
+                      aMapResSource.mnMapScDenomX, aMapResDest.mnMapScNumX ),
+                 fn5( rSzSource.Height(),
+                      aMapResSource.mnMapScNumY, aMapResDest.mnMapScDenomY,
+                      aMapResSource.mnMapScDenomY, aMapResDest.mnMapScNumY ) );
+}
+
+tools::Rectangle OutputDevice::LogicToLogic( const tools::Rectangle& rRectSource,
+                                      const MapMode* pMapModeSource,
+                                      const MapMode* pMapModeDest ) const
+{
+    ENTER1( rRectSource, pMapModeSource, pMapModeDest );
+
+    return tools::Rectangle( fn5( rRectSource.Left() + aMapResSource.mnMapOfsX,
+                           aMapResSource.mnMapScNumX, aMapResDest.mnMapScDenomX,
+                           aMapResSource.mnMapScDenomX, aMapResDest.mnMapScNumX ) -
+                      aMapResDest.mnMapOfsX,
+                      fn5( rRectSource.Top() + aMapResSource.mnMapOfsY,
+                           aMapResSource.mnMapScNumY, aMapResDest.mnMapScDenomY,
+                           aMapResSource.mnMapScDenomY, aMapResDest.mnMapScNumY ) -
+                      aMapResDest.mnMapOfsY,
+                      fn5( rRectSource.Right() + aMapResSource.mnMapOfsX,
+                           aMapResSource.mnMapScNumX, aMapResDest.mnMapScDenomX,
+                           aMapResSource.mnMapScDenomX, aMapResDest.mnMapScNumX ) -
+                      aMapResDest.mnMapOfsX,
+                      fn5( rRectSource.Bottom() + aMapResSource.mnMapOfsY,
+                           aMapResSource.mnMapScNumY, aMapResDest.mnMapScDenomY,
+                           aMapResSource.mnMapScDenomY, aMapResDest.mnMapScNumY ) -
+                      aMapResDest.mnMapOfsY );
+}
+
+Point OutputDevice::LogicToLogic( const Point& rPtSource,
+                                  const MapMode& rMapModeSource,
+                                  const MapMode& rMapModeDest )
+{
+    if ( rMapModeSource == rMapModeDest )
+        return rPtSource;
+
+    MapUnit eUnitSource = rMapModeSource.GetMapUnit();
+    MapUnit eUnitDest   = rMapModeDest.GetMapUnit();
+    verifyUnitSourceDest( eUnitSource, eUnitDest );
+
+    if (rMapModeSource.IsSimple() && rMapModeDest.IsSimple())
+    {
+        ENTER3( eUnitSource, eUnitDest );
+
+        return Point( fn3( rPtSource.X(), nNumerator, nDenominator ),
+                      fn3( rPtSource.Y(), nNumerator, nDenominator ) );
+    }
+    else
+    {
+        ENTER4( rMapModeSource, rMapModeDest );
+
+        return Point( fn5( rPtSource.X() + aMapResSource.mnMapOfsX,
+                           aMapResSource.mnMapScNumX, aMapResDest.mnMapScDenomX,
+                           aMapResSource.mnMapScDenomX, aMapResDest.mnMapScNumX ) -
+                      aMapResDest.mnMapOfsX,
+                      fn5( rPtSource.Y() + aMapResSource.mnMapOfsY,
+                           aMapResSource.mnMapScNumY, aMapResDest.mnMapScDenomY,
+                           aMapResSource.mnMapScDenomY, aMapResDest.mnMapScNumY ) -
+                      aMapResDest.mnMapOfsY );
+    }
+}
+
+Size OutputDevice::LogicToLogic( const Size& rSzSource,
+                                 const MapMode& rMapModeSource,
+                                 const MapMode& rMapModeDest )
+{
+    if ( rMapModeSource == rMapModeDest )
+        return rSzSource;
+
+    MapUnit eUnitSource = rMapModeSource.GetMapUnit();
+    MapUnit eUnitDest   = rMapModeDest.GetMapUnit();
+    verifyUnitSourceDest( eUnitSource, eUnitDest );
+
+    if (rMapModeSource.IsSimple() && rMapModeDest.IsSimple())
+    {
+        ENTER3( eUnitSource, eUnitDest );
+
+        return Size( fn3( rSzSource.Width(),  nNumerator, nDenominator ),
+                     fn3( rSzSource.Height(), nNumerator, nDenominator ) );
+    }
+    else
+    {
+        ENTER4( rMapModeSource, rMapModeDest );
+
+        return Size( fn5( rSzSource.Width(),
+                          aMapResSource.mnMapScNumX, aMapResDest.mnMapScDenomX,
+                          aMapResSource.mnMapScDenomX, aMapResDest.mnMapScNumX ),
+                     fn5( rSzSource.Height(),
+                          aMapResSource.mnMapScNumY, aMapResDest.mnMapScDenomY,
+                          aMapResSource.mnMapScDenomY, aMapResDest.mnMapScNumY ) );
+    }
+}
+
+basegfx::B2DPolygon OutputDevice::LogicToLogic( const basegfx::B2DPolygon& rPolySource,
+                                                const MapMode& rMapModeSource,
+                                                const MapMode& rMapModeDest )
+{
+    if(rMapModeSource == rMapModeDest)
+    {
+        return rPolySource;
+    }
+
+    const basegfx::B2DHomMatrix aTransform(LogicToLogic(rMapModeSource, rMapModeDest));
+    basegfx::B2DPolygon aPoly(rPolySource);
+
+    aPoly.transform(aTransform);
+    return aPoly;
+}
+
+basegfx::B2DHomMatrix OutputDevice::LogicToLogic(const MapMode& rMapModeSource, const MapMode& rMapModeDest)
+{
+    basegfx::B2DHomMatrix aTransform;
+
+    if(rMapModeSource == rMapModeDest)
+    {
+        return aTransform;
+    }
+
+    MapUnit eUnitSource = rMapModeSource.GetMapUnit();
+    MapUnit eUnitDest   = rMapModeDest.GetMapUnit();
+    verifyUnitSourceDest(eUnitSource, eUnitDest);
+
+    if (rMapModeSource.IsSimple() && rMapModeDest.IsSimple())
+    {
+        ENTER3(eUnitSource, eUnitDest);
+
+        const double fScaleFactor(static_cast<double>(nNumerator) / static_cast<double>(nDenominator));
+        aTransform.set(0, 0, fScaleFactor);
+        aTransform.set(1, 1, fScaleFactor);
+    }
+    else
+    {
+        ENTER4(rMapModeSource, rMapModeDest);
+
+        const double fScaleFactorX((double(aMapResSource.mnMapScNumX) * double(aMapResDest.mnMapScDenomX)) / (double(aMapResSource.mnMapScDenomX) * double(aMapResDest.mnMapScNumX)));
+        const double fScaleFactorY((double(aMapResSource.mnMapScNumY) * double(aMapResDest.mnMapScDenomY)) / (double(aMapResSource.mnMapScDenomY) * double(aMapResDest.mnMapScNumY)));
+        const double fZeroPointX(double(aMapResSource.mnMapOfsX) * fScaleFactorX - double(aMapResDest.mnMapOfsX));
+        const double fZeroPointY(double(aMapResSource.mnMapOfsY) * fScaleFactorY - double(aMapResDest.mnMapOfsY));
+
+        aTransform.set(0, 0, fScaleFactorX);
+        aTransform.set(1, 1, fScaleFactorY);
+        aTransform.set(0, 2, fZeroPointX);
+        aTransform.set(1, 2, fZeroPointY);
+    }
+
+    return aTransform;
+}
+
+tools::Rectangle OutputDevice::LogicToLogic( const tools::Rectangle& rRectSource,
+                                      const MapMode& rMapModeSource,
+                                      const MapMode& rMapModeDest )
+{
+    if ( rMapModeSource == rMapModeDest )
+        return rRectSource;
+
+    MapUnit eUnitSource = rMapModeSource.GetMapUnit();
+    MapUnit eUnitDest   = rMapModeDest.GetMapUnit();
+    verifyUnitSourceDest( eUnitSource, eUnitDest );
+
+    if (rMapModeSource.IsSimple() && rMapModeDest.IsSimple())
+    {
+        ENTER3( eUnitSource, eUnitDest );
+
+        auto left = fn3( rRectSource.Left(), nNumerator, nDenominator );
+        auto top = fn3( rRectSource.Top(), nNumerator, nDenominator );
+        if (rRectSource.IsEmpty())
+            return tools::Rectangle( left, top );
+
+        auto right = fn3( rRectSource.Right(), nNumerator, nDenominator );
+        auto bottom = fn3( rRectSource.Bottom(), nNumerator, nDenominator );
+        return tools::Rectangle(left, top, right, bottom);
+    }
+    else
+    {
+        ENTER4( rMapModeSource, rMapModeDest );
+
+        auto left = fn5( rRectSource.Left() + aMapResSource.mnMapOfsX,
+                               aMapResSource.mnMapScNumX, aMapResDest.mnMapScDenomX,
+                               aMapResSource.mnMapScDenomX, aMapResDest.mnMapScNumX ) -
+                          aMapResDest.mnMapOfsX;
+        auto top = fn5( rRectSource.Top() + aMapResSource.mnMapOfsY,
+                               aMapResSource.mnMapScNumY, aMapResDest.mnMapScDenomY,
+                               aMapResSource.mnMapScDenomY, aMapResDest.mnMapScNumY ) -
+                          aMapResDest.mnMapOfsY;
+        if (rRectSource.IsEmpty())
+            return tools::Rectangle(left, top);
+
+        auto right = fn5( rRectSource.Right() + aMapResSource.mnMapOfsX,
+                               aMapResSource.mnMapScNumX, aMapResDest.mnMapScDenomX,
+                               aMapResSource.mnMapScDenomX, aMapResDest.mnMapScNumX ) -
+                          aMapResDest.mnMapOfsX;
+        auto bottom = fn5( rRectSource.Bottom() + aMapResSource.mnMapOfsY,
+                               aMapResSource.mnMapScNumY, aMapResDest.mnMapScDenomY,
+                               aMapResSource.mnMapScDenomY, aMapResDest.mnMapScNumY ) -
+                          aMapResDest.mnMapOfsY;
+        return tools::Rectangle(left, top, right, bottom);
+    }
+}
+
+long OutputDevice::LogicToLogic( long nLongSource,
+                                 MapUnit eUnitSource, MapUnit eUnitDest )
+{
+    if ( eUnitSource == eUnitDest )
+        return nLongSource;
+
+    verifyUnitSourceDest( eUnitSource, eUnitDest );
+    ENTER3( eUnitSource, eUnitDest );
+
+    return fn3( nLongSource, nNumerator, nDenominator );
+}
+
+void OutputDevice::SetPixelOffset( const Size& rOffset )
+{
+    mnOutOffOrigX  = rOffset.Width();
+    mnOutOffOrigY  = rOffset.Height();
+
+    mnOutOffLogicX = ImplPixelToLogic( mnOutOffOrigX, mnDPIX,
+                                       maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                                       maThresRes.mnThresPixToLogX );
+    mnOutOffLogicY = ImplPixelToLogic( mnOutOffOrigY, mnDPIY,
+                                       maMapRes.mnMapScNumY, maMapRes.mnMapScDenomY,
+                                       maThresRes.mnThresPixToLogY );
+
+    if( mpAlphaVDev )
+        mpAlphaVDev->SetPixelOffset( rOffset );
+}
+
+
+DeviceCoordinate OutputDevice::LogicWidthToDeviceCoordinate( long nWidth ) const
+{
+    if ( !mbMap )
+        return static_cast<DeviceCoordinate>(nWidth);
+
+#if VCL_FLOAT_DEVICE_PIXEL
+    return (double)nWidth * maMapRes.mfScaleX * mnDPIX;
+#else
+
+    return ImplLogicToPixel( nWidth, mnDPIX,
+                             maMapRes.mnMapScNumX, maMapRes.mnMapScDenomX,
+                             maThresRes.mnThresLogToPixX );
+#endif
+}
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */