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, 531 insertions, 0 deletions

diff --git a/basegfx/source/inc/hommatrixtemplate.hxx b/basegfx/source/inc/hommatrixtemplate.hxx
new file mode 100644
index 000000000..6213d61f2
--- /dev/null
+++ b/basegfx/source/inc/hommatrixtemplate.hxx
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+/* -*- 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 .
+ */
+
+#ifndef INCLUDED_BASEGFX_SOURCE_INC_HOMMATRIXTEMPLATE_HXX
+#define INCLUDED_BASEGFX_SOURCE_INC_HOMMATRIXTEMPLATE_HXX
+
+#include <sal/types.h>
+#include <basegfx/numeric/ftools.hxx>
+#include <cmath>
+#include <string.h>
+
+#include <memory>
+
+namespace basegfx
+{
+    namespace internal
+    {
+
+        inline double implGetDefaultValue(sal_uInt16 nRow, sal_uInt16 nColumn)
+        {
+            if(nRow == nColumn)
+                return 1.0;
+            return 0.0;
+        }
+
+        template < sal_uInt16 RowSize > class ImplMatLine
+        {
+            double                                          mfValue[RowSize];
+
+        public:
+            ImplMatLine()
+            {
+            }
+
+            explicit ImplMatLine(sal_uInt16 nRow, ImplMatLine< RowSize >* pToBeCopied)
+            {
+                if(pToBeCopied)
+                {
+                    memcpy(&mfValue, pToBeCopied, sizeof(double) * RowSize);
+                }
+                else
+                {
+                    for(sal_uInt16 a(0); a < RowSize; a++)
+                    {
+                        mfValue[a] = implGetDefaultValue(nRow, a);
+                    }
+                }
+            }
+
+            double get(sal_uInt16 nColumn) const
+            {
+                return mfValue[nColumn];
+            }
+
+            void set(sal_uInt16 nColumn, const double& rValue)
+            {
+                mfValue[nColumn] = rValue;
+            }
+        };
+
+        template < sal_uInt16 RowSize > class ImplHomMatrixTemplate
+        {
+            ImplMatLine< RowSize >                          maLine[RowSize - 1];
+            std::unique_ptr<ImplMatLine< RowSize >> mutable mpLine;
+
+        public:
+            // Is last line used?
+            bool isLastLineDefault() const
+            {
+                if(!mpLine)
+                    return true;
+
+                for(sal_uInt16 a(0); a < RowSize; a++)
+                {
+                    const double fDefault(implGetDefaultValue((RowSize - 1), a));
+                    const double fLineValue(mpLine->get(a));
+
+                    if(!::basegfx::fTools::equal(fDefault, fLineValue))
+                    {
+                        return false;
+                    }
+                }
+
+                // reset last line, it equals default
+                mpLine.reset();
+
+                return true;
+            }
+
+            ImplHomMatrixTemplate()
+            {
+                // complete initialization with identity matrix, all lines
+                // were initialized with a trailing 1 followed by 0's.
+                for(sal_uInt16 a(0); a < RowSize-1; a++)
+                {
+                    for(sal_uInt16 b(0); b < RowSize; b++)
+                        maLine[a].set(b, implGetDefaultValue(a, b) );
+                }
+            }
+
+            ImplHomMatrixTemplate(const ImplHomMatrixTemplate& rToBeCopied)
+            {
+                operator=(rToBeCopied);
+            }
+
+            ImplHomMatrixTemplate& operator=(const ImplHomMatrixTemplate& rToBeCopied)
+            {
+                if (this != &rToBeCopied)
+                {
+                    // complete initialization using copy
+                    for(sal_uInt16 a(0); a < (RowSize - 1); a++)
+                    {
+                        memcpy(&maLine[a], &rToBeCopied.maLine[a], sizeof(ImplMatLine< RowSize >));
+                    }
+                    if(rToBeCopied.mpLine)
+                    {
+                        mpLine.reset( new ImplMatLine< RowSize >((RowSize - 1), rToBeCopied.mpLine.get()) );
+                    }
+                }
+                return *this;
+            }
+
+            static sal_uInt16 getEdgeLength() { return RowSize; }
+
+            double get(sal_uInt16 nRow, sal_uInt16 nColumn) const
+            {
+                if(nRow < (RowSize - 1))
+                {
+                    return maLine[nRow].get(nColumn);
+                }
+
+                if(mpLine)
+                {
+                    return mpLine->get(nColumn);
+                }
+
+                return implGetDefaultValue((RowSize - 1), nColumn);
+            }
+
+            void set(sal_uInt16 nRow, sal_uInt16 nColumn, const double& rValue)
+            {
+                if(nRow < (RowSize - 1))
+                {
+                    maLine[nRow].set(nColumn, rValue);
+                }
+                else if(mpLine)
+                {
+                    mpLine->set(nColumn, rValue);
+                }
+                else
+                {
+                    const double fDefault(implGetDefaultValue((RowSize - 1), nColumn));
+
+                    if(!::basegfx::fTools::equal(fDefault, rValue))
+                    {
+                        mpLine.reset(new ImplMatLine< RowSize >((RowSize - 1), nullptr));
+                        mpLine->set(nColumn, rValue);
+                    }
+                }
+            }
+
+            void testLastLine()
+            {
+                if(mpLine)
+                {
+                    bool bNecessary(false);
+
+                    for(sal_uInt16 a(0);!bNecessary && a < RowSize; a++)
+                    {
+                        const double fDefault(implGetDefaultValue((RowSize - 1), a));
+                        const double fLineValue(mpLine->get(a));
+
+                        if(!::basegfx::fTools::equal(fDefault, fLineValue))
+                        {
+                            bNecessary = true;
+                        }
+                    }
+
+                    if(!bNecessary)
+                    {
+                        mpLine.reset();
+                    }
+                }
+            }
+
+            // Left-upper decomposition
+            bool ludcmp(sal_uInt16 nIndex[], sal_Int16& nParity)
+            {
+                double fBig, fSum, fDum;
+                double fStorage[RowSize];
+                sal_uInt16 a, b, c;
+
+                // #i30874# Initialize nAMax (compiler warns)
+                sal_uInt16 nAMax = 0;
+
+                nParity = 1;
+
+                // Calc the max of each line. If a line is empty,
+                // stop immediately since matrix is not invertible then.
+                for(a = 0; a < RowSize; a++)
+                {
+                    fBig = 0.0;
+
+                    for(b = 0; b < RowSize; b++)
+                    {
+                        double fTemp(fabs(get(a, b)));
+
+                        if(::basegfx::fTools::more(fTemp, fBig))
+                        {
+                            fBig = fTemp;
+                        }
+                    }
+
+                    if(::basegfx::fTools::equalZero(fBig))
+                    {
+                        return false;
+                    }
+
+                    fStorage[a] = 1.0 / fBig;
+                }
+
+                // start normalizing
+                for(b = 0; b < RowSize; b++)
+                {
+                    for(a = 0; a < b; a++)
+                    {
+                        fSum = get(a, b);
+
+                        for(c = 0; c < a; c++)
+                        {
+                            fSum -= get(a, c) * get(c, b);
+                        }
+
+                        set(a, b, fSum);
+                    }
+
+                    fBig = 0.0;
+
+                    for(a = b; a < RowSize; a++)
+                    {
+                        fSum = get(a, b);
+
+                        for(c = 0; c < b; c++)
+                        {
+                            fSum -= get(a, c) * get(c, b);
+                        }
+
+                        set(a, b, fSum);
+                        fDum = fStorage[a] * fabs(fSum);
+
+                        if(::basegfx::fTools::moreOrEqual(fDum, fBig))
+                        {
+                            fBig = fDum;
+                            nAMax = a;
+                        }
+                    }
+
+                    if(b != nAMax)
+                    {
+                        for(c = 0; c < RowSize; c++)
+                        {
+                            fDum = get(nAMax, c);
+                            set(nAMax, c, get(b, c));
+                            set(b, c, fDum);
+                        }
+
+                        nParity = -nParity;
+                        fStorage[nAMax] = fStorage[b];
+                    }
+
+                    nIndex[b] = nAMax;
+
+                    // here the failure of precision occurs
+                    const double fValBB(fabs(get(b, b)));
+
+                    if(::basegfx::fTools::equalZero(fValBB))
+                    {
+                        return false;
+                    }
+
+                    if(b != (RowSize - 1))
+                    {
+                        fDum = 1.0 / get(b, b);
+
+                        for(a = b + 1; a < RowSize; a++)
+                        {
+                            set(a, b, get(a, b) * fDum);
+                        }
+                    }
+                }
+
+                return true;
+            }
+
+            void lubksb(const sal_uInt16 nIndex[], double fRow[]) const
+            {
+                sal_uInt16 b, ip;
+                sal_Int16 a, a2 = -1;
+                double fSum;
+
+                for(a = 0; a < RowSize; a++)
+                {
+                    ip = nIndex[a];
+                    fSum = fRow[ip];
+                    fRow[ip] = fRow[a];
+
+                    if(a2 >= 0)
+                    {
+                        for(b = a2; b < a; b++)
+                        {
+                            fSum -= get(a, b) * fRow[b];
+                        }
+                    }
+                    else if(!::basegfx::fTools::equalZero(fSum))
+                    {
+                        a2 = a;
+                    }
+
+                    fRow[a] = fSum;
+                }
+
+                for(a = (RowSize - 1); a >= 0; a--)
+                {
+                    fSum = fRow[a];
+
+                    for(b = a + 1; b < RowSize; b++)
+                    {
+                        fSum -= get(a, b) * fRow[b];
+                    }
+
+                    const double fValueAA(get(a, a));
+
+                    if(!::basegfx::fTools::equalZero(fValueAA))
+                    {
+                        fRow[a] = fSum / get(a, a);
+                    }
+                }
+            }
+
+            bool isIdentity() const
+            {
+                // last line needs no testing if not existing
+                const sal_uInt16 nMaxLine(
+                    sal::static_int_cast<sal_uInt16>(mpLine ? RowSize : (RowSize - 1)) );
+
+                for(sal_uInt16 a(0); a < nMaxLine; a++)
+                {
+                    for(sal_uInt16 b(0); b < RowSize; b++)
+                    {
+                        const double fDefault(implGetDefaultValue(a, b));
+                        const double fValueAB(get(a, b));
+
+                        if(!::basegfx::fTools::equal(fDefault, fValueAB))
+                        {
+                            return false;
+                        }
+                    }
+                }
+
+                return true;
+            }
+
+            bool isInvertible() const
+            {
+                ImplHomMatrixTemplate aWork(*this);
+                sal_uInt16 nIndex[RowSize];
+                sal_Int16 nParity;
+
+                return aWork.ludcmp(nIndex, nParity);
+            }
+
+            void doInvert(const ImplHomMatrixTemplate& rWork, const sal_uInt16 nIndex[])
+            {
+                double fArray[RowSize];
+
+                for(sal_uInt16 a(0); a < RowSize; a++)
+                {
+                    // prepare line
+                    sal_uInt16 b;
+                    for( b = 0; b < RowSize; b++)
+                    {
+                        fArray[b] = implGetDefaultValue(a, b);
+                    }
+
+                    // expand line
+                    rWork.lubksb(nIndex, fArray);
+
+                    // copy line transposed to this matrix
+                    for( b = 0; b < RowSize; b++)
+                    {
+                        set(b, a, fArray[b]);
+                    }
+                }
+
+                // evtl. get rid of last matrix line
+                testLastLine();
+            }
+
+            double doDeterminant() const
+            {
+                ImplHomMatrixTemplate aWork(*this);
+                sal_uInt16 nIndex[RowSize];
+                sal_Int16 nParity;
+                double fRetval(0.0);
+
+                if(aWork.ludcmp(nIndex, nParity))
+                {
+                    fRetval = static_cast<double>(nParity);
+
+                    // last line needs no multiply if not existing; default value would be 1.
+                    const sal_uInt16 nMaxLine(
+                        sal::static_int_cast<sal_uInt16>(aWork.mpLine ? RowSize : (RowSize - 1)) );
+
+                    for(sal_uInt16 a(0); a < nMaxLine; a++)
+                    {
+                        fRetval *= aWork.get(a, a);
+                    }
+                }
+
+                return fRetval;
+            }
+
+            void doAddMatrix(const ImplHomMatrixTemplate& rMat)
+            {
+                for(sal_uInt16 a(0); a < RowSize; a++)
+                {
+                    for(sal_uInt16 b(0); b < RowSize; b++)
+                    {
+                        set(a, b, get(a, b) + rMat.get(a, b));
+                    }
+                }
+
+                testLastLine();
+            }
+
+            void doSubMatrix(const ImplHomMatrixTemplate& rMat)
+            {
+                for(sal_uInt16 a(0); a < RowSize; a++)
+                {
+                    for(sal_uInt16 b(0); b < RowSize; b++)
+                    {
+                        set(a, b, get(a, b) - rMat.get(a, b));
+                    }
+                }
+
+                testLastLine();
+            }
+
+            void doMulMatrix(const double& rfValue)
+            {
+                for(sal_uInt16 a(0); a < RowSize; a++)
+                {
+                    for(sal_uInt16 b(0); b < RowSize; b++)
+                    {
+                        set(a, b, get(a, b) * rfValue);
+                    }
+                }
+
+                testLastLine();
+            }
+
+            void doMulMatrix(const ImplHomMatrixTemplate& rMat)
+            {
+                // create a copy as source for the original values
+                const ImplHomMatrixTemplate aCopy(*this);
+
+                // TODO: maybe optimize cases where last line is [0 0 1].
+
+                double fValue(0.0);
+
+                for(sal_uInt16 a(0); a < RowSize; ++a)
+                {
+                    for(sal_uInt16 b(0); b < RowSize; ++b)
+                    {
+                        fValue = 0.0;
+
+                        for(sal_uInt16 c(0); c < RowSize; ++c)
+                            fValue += aCopy.get(c, b) * rMat.get(a, c);
+
+                        set(a, b, fValue);
+                    }
+                }
+
+                testLastLine();
+            }
+
+            bool isEqual(const ImplHomMatrixTemplate& rMat) const
+            {
+                const sal_uInt16 nMaxLine(
+                    sal::static_int_cast<sal_uInt16>((mpLine || rMat.mpLine) ? RowSize : (RowSize - 1)) );
+
+                for(sal_uInt16 a(0); a < nMaxLine; a++)
+                {
+                    for(sal_uInt16 b(0); b < RowSize; b++)
+                    {
+                        const double fValueA(get(a, b));
+                        const double fValueB(rMat.get(a, b));
+
+                        if(!::basegfx::fTools::equal(fValueA, fValueB))
+                        {
+                            return false;
+                        }
+                    }
+                }
+
+                return true;
+            }
+        };
+
+    } // namespace internal
+} // namespace basegfx
+
+#endif // INCLUDED_BASEGFX_SOURCE_INC_HOMMATRIXTEMPLATE_HXX
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */