7 files changed, 980 insertions, 0 deletions
diff --git a/include/basegfx/tuple/Tuple2D.hxx b/include/basegfx/tuple/Tuple2D.hxx
new file mode 100644
index 000000000..44d546df6
--- /dev/null
+++ b/include/basegfx/tuple/Tuple2D.hxx
@@ -0,0 +1,157 @@
+/* -*- 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/.
+ *
+ */
+
+#pragma once
+
+#include <basegfx/utils/common.hxx>
+#include <basegfx/numeric/ftools.hxx>
+
+namespace basegfx
+{
+template <typename TYPE> class Tuple2D
+{
+protected:
+    union {
+        // temporary alias mnX with mfX and mnY with mfY
+        struct
+        {
+            TYPE mnX;
+            TYPE mnY;
+        };
+        struct
+        {
+            TYPE mfX;
+            TYPE mfY;
+        };
+    };
+
+public:
+    /** Create a 2D Tuple
+
+            @param nX
+            This parameter is used to initialize the X-coordinate
+            of the 2D Tuple.
+
+            @param nY
+            This parameter is used to initialize the Y-coordinate
+            of the 2D Tuple.
+    */
+    Tuple2D(TYPE x, TYPE y)
+        : mnX(x)
+        , mnY(y)
+    {
+    }
+
+    double get(Axis2D eAxis) { return eAxis == Axis2D::X ? getX() : getY(); }
+
+    void set(Axis2D eAxis, TYPE fValue)
+    {
+        if (eAxis == Axis2D::X)
+            setX(fValue);
+        else
+            setY(fValue);
+    }
+
+    /// Get X-Coordinate of 2D Tuple
+    TYPE getX() const { return mnX; }
+
+    /// Get Y-Coordinate of 2D Tuple
+    TYPE getY() const { return mnY; }
+
+    /// Set X-Coordinate of 2D Tuple
+    void setX(TYPE fX) { mnX = fX; }
+
+    /// Set Y-Coordinate of 2D Tuple
+    void setY(TYPE fY) { mnY = fY; }
+
+    /// Adjust X-Coordinate of 2D Tuple
+    void adjustX(TYPE fX) { mnX += fX; }
+
+    /// Adjust Y-Coordinate of 2D Tuple
+    void adjustY(TYPE fY) { mnY += fY; }
+
+    // comparators with tolerance
+
+    template <typename T = TYPE, std::enable_if_t<std::is_integral_v<T>, int> = 0>
+    bool equal(const Tuple2D<TYPE>& rTup) const
+    {
+        return mfX == rTup.mfX && mfY == rTup.mfY;
+    }
+
+    template <typename T = TYPE, std::enable_if_t<std::is_floating_point_v<T>, int> = 0>
+    bool equal(const Tuple2D<TYPE>& rTup) const
+    {
+        return this == &rTup || (fTools::equal(mfX, rTup.mfX) && fTools::equal(mfY, rTup.mfY));
+    }
+
+    template <typename T = TYPE, std::enable_if_t<std::is_integral_v<T>, int> = 0>
+    bool equalZero() const
+    {
+        return mnX == 0 && mnY == 0;
+    }
+
+    template <typename T = TYPE, std::enable_if_t<std::is_floating_point_v<T>, int> = 0>
+    bool equalZero() const
+    {
+        return fTools::equalZero(mfX) && fTools::equalZero(mfY);
+    }
+
+    // operator overrides
+
+    Tuple2D& operator+=(const Tuple2D& rTup)
+    {
+        mfX += rTup.mfX;
+        mfY += rTup.mfY;
+        return *this;
+    }
+
+    Tuple2D& operator-=(const Tuple2D& rTup)
+    {
+        mfX -= rTup.mfX;
+        mfY -= rTup.mfY;
+        return *this;
+    }
+
+    Tuple2D& operator/=(const Tuple2D& rTup)
+    {
+        mfX /= rTup.mfX;
+        mfY /= rTup.mfY;
+        return *this;
+    }
+
+    Tuple2D& operator*=(const Tuple2D& rTup)
+    {
+        mfX *= rTup.mfX;
+        mfY *= rTup.mfY;
+        return *this;
+    }
+
+    Tuple2D& operator*=(TYPE t)
+    {
+        mfX *= t;
+        mfY *= t;
+        return *this;
+    }
+
+    Tuple2D& operator/=(TYPE t)
+    {
+        mfX /= t;
+        mfY /= t;
+        return *this;
+    }
+
+    bool operator==(const Tuple2D& rTup) const { return mfX == rTup.mfX && mfY == rTup.mfY; }
+
+    bool operator!=(const Tuple2D& rTup) const { return !(*this == rTup); }
+};
+
+} // end of namespace basegfx
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/include/basegfx/tuple/Tuple3D.hxx b/include/basegfx/tuple/Tuple3D.hxx
new file mode 100644
index 000000000..967516663
--- /dev/null
+++ b/include/basegfx/tuple/Tuple3D.hxx
@@ -0,0 +1,134 @@
+/* -*- 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/.
+ *
+ */
+
+#pragma once
+
+namespace basegfx
+{
+template <typename TYPE> class Tuple3D
+{
+protected:
+    union {
+        // temporary alias mnX with mfX, mnY with mfY and mnZ with mfZ
+        struct
+        {
+            TYPE mnX;
+            TYPE mnY;
+            TYPE mnZ;
+        };
+        struct
+        {
+            TYPE mfX;
+            TYPE mfY;
+            TYPE mfZ;
+        };
+    };
+
+public:
+    /** Create a 3D Tuple
+
+            @param x
+            This parameter is used to initialize the X-coordinate
+            of the 3D Tuple.
+
+            @param y
+            This parameter is used to initialize the Y-coordinate
+            of the 3D Tuple.
+
+            @param z
+            This parameter is used to initialize the Z-coordinate
+            of the 3D Tuple.
+        */
+    Tuple3D(TYPE x, TYPE y, TYPE z)
+        : mnX(x)
+        , mnY(y)
+        , mnZ(z)
+    {
+    }
+
+    /// Get X-Coordinate of 3D Tuple
+    TYPE getX() const { return mnX; }
+
+    /// Get Y-Coordinate of 3D Tuple
+    TYPE getY() const { return mnY; }
+
+    /// Get Z-Coordinate of 3D Tuple
+    TYPE getZ() const { return mnZ; }
+
+    /// Set X-Coordinate of 3D Tuple
+    void setX(TYPE fX) { mnX = fX; }
+
+    /// Set Y-Coordinate of 3D Tuple
+    void setY(TYPE fY) { mnY = fY; }
+
+    /// Set Z-Coordinate of 3D Tuple
+    void setZ(TYPE fZ) { mnZ = fZ; }
+
+    // operators
+
+    Tuple3D& operator+=(const Tuple3D& rTup)
+    {
+        mfX += rTup.mfX;
+        mfY += rTup.mfY;
+        mfZ += rTup.mfZ;
+        return *this;
+    }
+
+    Tuple3D& operator-=(const Tuple3D& rTup)
+    {
+        mfX -= rTup.mfX;
+        mfY -= rTup.mfY;
+        mfZ -= rTup.mfZ;
+        return *this;
+    }
+
+    Tuple3D& operator/=(const Tuple3D& rTup)
+    {
+        mfX /= rTup.mfX;
+        mfY /= rTup.mfY;
+        mfZ /= rTup.mfZ;
+        return *this;
+    }
+
+    Tuple3D& operator*=(const Tuple3D& rTup)
+    {
+        mfX *= rTup.mfX;
+        mfY *= rTup.mfY;
+        mfZ *= rTup.mfZ;
+        return *this;
+    }
+
+    Tuple3D& operator*=(TYPE t)
+    {
+        mfX *= t;
+        mfY *= t;
+        mfZ *= t;
+        return *this;
+    }
+
+    Tuple3D& operator/=(TYPE t)
+    {
+        mfX /= t;
+        mfY /= t;
+        mfZ /= t;
+        return *this;
+    }
+
+    bool operator==(const Tuple3D& rTup) const
+    {
+        return mfX == rTup.mfX && mfY == rTup.mfY && mfZ == rTup.mfZ;
+    }
+
+    bool operator!=(const Tuple3D& rTup) const { return !operator==(rTup); }
+};
+
+} // end of namespace basegfx
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/include/basegfx/tuple/b2dtuple.hxx b/include/basegfx/tuple/b2dtuple.hxx
new file mode 100644
index 000000000..c47b7b898
--- /dev/null
+++ b/include/basegfx/tuple/b2dtuple.hxx
@@ -0,0 +1,177 @@
+/* -*- 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 .
+ */
+
+#pragma once
+
+#include <sal/types.h>
+#include <basegfx/basegfxdllapi.h>
+#include <basegfx/tuple/Tuple2D.hxx>
+
+namespace basegfx
+{
+    class B2ITuple;
+
+    /** Base class for all Points/Vectors with two double values
+
+        This class provides all methods common to Point
+        and Vector classes which are derived from here.
+
+        @derive Use this class to implement Points or Vectors
+        which are based on two double values
+    */
+    class SAL_WARN_UNUSED B2DTuple : public Tuple2D<double>
+    {
+    public:
+
+        /** Create a 2D Tuple
+
+            The tuple is initialized to (0.0, 0.0)
+        */
+        B2DTuple()
+         : Tuple2D(0.0, 0.0)
+        {}
+
+        /** Create a 2D Tuple
+
+            @param fX
+            This parameter is used to initialize the X-coordinate
+            of the 2D Tuple.
+
+            @param fY
+            This parameter is used to initialize the Y-coordinate
+            of the 2D Tuple.
+        */
+        B2DTuple(double fX, double fY)
+            : Tuple2D(fX, fY)
+        {}
+
+        /** Create a copy of a 2D integer Tuple
+
+            @param rTup
+            The 2D Tuple which will be copied.
+        */
+        BASEGFX_DLLPUBLIC explicit B2DTuple(const B2ITuple& rTup);
+
+        // operators
+
+        B2DTuple operator-(void) const
+        {
+            return B2DTuple(-mfX, -mfY);
+        }
+
+        BASEGFX_DLLPUBLIC static const B2DTuple& getEmptyTuple();
+    };
+
+    // external operators
+
+
+    inline B2DTuple absolute(const B2DTuple& rTup)
+    {
+        B2DTuple aAbs(
+            fabs(rTup.getX()),
+            fabs(rTup.getY()));
+        return aAbs;
+    }
+
+    inline B2DTuple interpolate(const B2DTuple& rOld1, const B2DTuple& rOld2, double t)
+    {
+        if(rOld1 == rOld2)
+        {
+            return rOld1;
+        }
+        else if(0.0 >= t)
+        {
+            return rOld1;
+        }
+        else if(1.0 <= t)
+        {
+            return rOld2;
+        }
+        else
+        {
+            return B2DTuple(
+                ((rOld2.getX() - rOld1.getX()) * t) + rOld1.getX(),
+                ((rOld2.getY() - rOld1.getY()) * t) + rOld1.getY());
+        }
+    }
+
+    inline B2DTuple average(const B2DTuple& rOld1, const B2DTuple& rOld2)
+    {
+        return B2DTuple(
+            rtl_math_approxEqual(rOld1.getX(), rOld2.getX()) ? rOld1.getX() : (rOld1.getX() + rOld2.getX()) * 0.5,
+            rtl_math_approxEqual(rOld1.getY(), rOld2.getY()) ? rOld1.getY() : (rOld1.getY() + rOld2.getY()) * 0.5);
+    }
+
+    inline B2DTuple operator+(const B2DTuple& rTupA, const B2DTuple& rTupB)
+    {
+        B2DTuple aSum(rTupA);
+        aSum += rTupB;
+        return aSum;
+    }
+
+    inline B2DTuple operator-(const B2DTuple& rTupA, const B2DTuple& rTupB)
+    {
+        B2DTuple aSub(rTupA);
+        aSub -= rTupB;
+        return aSub;
+    }
+
+    inline B2DTuple operator/(const B2DTuple& rTupA, const B2DTuple& rTupB)
+    {
+        B2DTuple aDiv(rTupA);
+        aDiv /= rTupB;
+        return aDiv;
+    }
+
+    inline B2DTuple operator*(const B2DTuple& rTupA, const B2DTuple& rTupB)
+    {
+        B2DTuple aMul(rTupA);
+        aMul *= rTupB;
+        return aMul;
+    }
+
+    inline B2DTuple operator*(const B2DTuple& rTup, double t)
+    {
+        B2DTuple aNew(rTup);
+        aNew *= t;
+        return aNew;
+    }
+
+    inline B2DTuple operator*(double t, const B2DTuple& rTup)
+    {
+        B2DTuple aNew(rTup);
+        aNew *= t;
+        return aNew;
+    }
+
+    inline B2DTuple operator/(const B2DTuple& rTup, double t)
+    {
+        B2DTuple aNew(rTup);
+        aNew /= t;
+        return aNew;
+    }
+
+    /** Round double to nearest integer for 2D tuple
+
+        @return the nearest integer for this tuple
+    */
+    BASEGFX_DLLPUBLIC B2ITuple fround(const B2DTuple& rTup);
+} // end of namespace basegfx
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/include/basegfx/tuple/b2i64tuple.hxx b/include/basegfx/tuple/b2i64tuple.hxx
new file mode 100644
index 000000000..70838572f
--- /dev/null
+++ b/include/basegfx/tuple/b2i64tuple.hxx
@@ -0,0 +1,87 @@
+/* -*- 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 .
+ */
+
+#pragma once
+
+#include <sal/types.h>
+#include <basegfx/basegfxdllapi.h>
+#include <basegfx/tuple/Tuple2D.hxx>
+
+namespace basegfx
+{
+    /** Base class for all Points/Vectors with two sal_Int64 values
+
+        This class provides all methods common to Point
+        and Vector classes which are derived from here.
+
+        @derive Use this class to implement Points or Vectors
+        which are based on two sal_Int64 values
+    */
+    class SAL_WARN_UNUSED BASEGFX_DLLPUBLIC B2I64Tuple : public Tuple2D<sal_Int64>
+    {
+    public:
+        /** Create a 2D Tuple
+
+            The tuple is initialized to (0, 0)
+        */
+        B2I64Tuple()
+            : Tuple2D(0, 0)
+        {}
+
+        /** Create a 2D Tuple
+
+            @param nX
+            This parameter is used to initialize the X-coordinate
+            of the 2D Tuple.
+
+            @param nY
+            This parameter is used to initialize the Y-coordinate
+            of the 2D Tuple.
+        */
+        B2I64Tuple(sal_Int64 nX, sal_Int64 nY)
+            : Tuple2D(nX, nY)
+        {}
+
+        /** Create a copy of a 2D Tuple
+
+            @param rTup
+            The 2D Tuple which will be copied.
+        */
+        B2I64Tuple(const B2I64Tuple& rTup)
+            : Tuple2D(rTup.mnX, rTup.mnY)
+        {}
+
+        // operators
+
+        B2I64Tuple operator-(void) const
+        {
+            return B2I64Tuple(-mnX, -mnY);
+        }
+
+        B2I64Tuple& operator=( const B2I64Tuple& rTup )
+        {
+            mnX = rTup.mnX;
+            mnY = rTup.mnY;
+            return *this;
+        }
+    };
+
+} // end of namespace basegfx
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/include/basegfx/tuple/b2ituple.hxx b/include/basegfx/tuple/b2ituple.hxx
new file mode 100644
index 000000000..e3f195596
--- /dev/null
+++ b/include/basegfx/tuple/b2ituple.hxx
@@ -0,0 +1,95 @@
+/* -*- 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 .
+ */
+
+#pragma once
+
+#include <sal/types.h>
+#include <basegfx/basegfxdllapi.h>
+#include <basegfx/tuple/Tuple2D.hxx>
+
+namespace basegfx
+{
+    /** Base class for all Points/Vectors with two sal_Int32 values
+
+        This class provides all methods common to Point
+        and Vector classes which are derived from here.
+
+        @derive Use this class to implement Points or Vectors
+        which are based on two sal_Int32 values
+    */
+    class SAL_WARN_UNUSED BASEGFX_DLLPUBLIC B2ITuple : public Tuple2D<sal_Int32>
+    {
+    public:
+        /** Create a 2D Tuple
+
+            The tuple is initialized to (0, 0)
+        */
+        B2ITuple()
+            : Tuple2D(0, 0)
+        {}
+
+        /** Create a 2D Tuple
+
+            @param nX
+            This parameter is used to initialize the X-coordinate
+            of the 2D Tuple.
+
+            @param nY
+            This parameter is used to initialize the Y-coordinate
+            of the 2D Tuple.
+        */
+        B2ITuple(sal_Int32 nX, sal_Int32 nY)
+            : Tuple2D(nX, nY)
+        {}
+
+        // operators
+
+        B2ITuple operator-(void) const
+        {
+            return B2ITuple(-mnX, -mnY);
+        }
+    };
+
+    // external operators
+
+
+    inline B2ITuple operator+(const B2ITuple& rTupA, const B2ITuple& rTupB)
+    {
+        B2ITuple aSum(rTupA);
+        aSum += rTupB;
+        return aSum;
+    }
+
+    inline B2ITuple operator-(const B2ITuple& rTupA, const B2ITuple& rTupB)
+    {
+        B2ITuple aSub(rTupA);
+        aSub -= rTupB;
+        return aSub;
+    }
+
+    inline B2ITuple operator*(sal_Int32 t, const B2ITuple& rTup)
+    {
+        B2ITuple aNew(rTup);
+        aNew *= t;
+        return aNew;
+    }
+
+} // end of namespace basegfx
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/include/basegfx/tuple/b3dtuple.hxx b/include/basegfx/tuple/b3dtuple.hxx
new file mode 100644
index 000000000..7ac6a774b
--- /dev/null
+++ b/include/basegfx/tuple/b3dtuple.hxx
@@ -0,0 +1,237 @@
+/* -*- 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 .
+ */
+
+#pragma once
+
+#include <sal/types.h>
+#include <basegfx/numeric/ftools.hxx>
+#include <basegfx/basegfxdllapi.h>
+#include <basegfx/tuple/Tuple3D.hxx>
+
+namespace basegfx
+{
+    class B3ITuple;
+
+    /** Base class for all Points/Vectors with three double values
+
+        This class provides all methods common to Point
+        and Vector classes which are derived from here.
+
+        @derive Use this class to implement Points or Vectors
+        which are based on three double values
+    */
+    class SAL_WARN_UNUSED BASEGFX_DLLPUBLIC B3DTuple : public Tuple3D<double>
+    {
+    public:
+        /** Create a 3D Tuple
+
+            The tuple is initialized to (0.0, 0.0, 0.0)
+        */
+        B3DTuple()
+            : Tuple3D(0.0, 0.0, 0.0)
+        {}
+
+        /** Create a 3D Tuple
+
+            @param fX
+            This parameter is used to initialize the X-coordinate
+            of the 3D Tuple.
+
+            @param fY
+            This parameter is used to initialize the Y-coordinate
+            of the 3D Tuple.
+
+            @param fZ
+            This parameter is used to initialize the Z-coordinate
+            of the 3D Tuple.
+        */
+        B3DTuple(double fX, double fY, double fZ)
+            : Tuple3D(fX, fY, fZ)
+        {}
+
+        /// Array-access to 3D Tuple
+        const double& operator[] (int nPos) const
+        {
+            // Here, normally two if(...)'s should be used. In the assumption that
+            // both double members can be accessed as an array a shortcut is used here.
+            // if(0 == nPos) return mfX; if(1 == nPos) return mfY; return mfZ;
+            return *((&mfX) + nPos);
+        }
+
+        /// Array-access to 3D Tuple
+        double& operator[] (int nPos)
+        {
+            // Here, normally two if(...)'s should be used. In the assumption that
+            // both double members can be accessed as an array a shortcut is used here.
+            // if(0 == nPos) return mfX; if(1 == nPos) return mfY; return mfZ;
+            return *((&mfX) + nPos);
+        }
+
+        // comparators with tolerance
+
+
+        bool equalZero() const
+        {
+            return (this == &getEmptyTuple() ||
+                (::basegfx::fTools::equalZero(mfX)
+                && ::basegfx::fTools::equalZero(mfY)
+                && ::basegfx::fTools::equalZero(mfZ)));
+        }
+
+        bool equal(const B3DTuple& rTup) const
+        {
+            return (
+                this == &rTup ||
+                (::basegfx::fTools::equal(mfX, rTup.mfX) &&
+                ::basegfx::fTools::equal(mfY, rTup.mfY) &&
+                ::basegfx::fTools::equal(mfZ, rTup.mfZ)));
+        }
+
+        // operators
+
+        B3DTuple operator-(void) const
+        {
+            return B3DTuple(-mfX, -mfY, -mfZ);
+        }
+
+        bool operator==(const B3DTuple& rTup) const
+        {
+            return mfX == rTup.mfX && mfY == rTup.mfY && mfZ == rTup.mfZ;
+        }
+
+        bool operator!=(const B3DTuple& rTup) const { return !operator==(rTup); }
+
+        void correctValues(const double fCompareValue = 0.0)
+        {
+            if(0.0 == fCompareValue)
+            {
+                if(::basegfx::fTools::equalZero(mfX))
+                {
+                    mfX = 0.0;
+                }
+
+                if(::basegfx::fTools::equalZero(mfY))
+                {
+                    mfY = 0.0;
+                }
+
+                if(::basegfx::fTools::equalZero(mfZ))
+                {
+                    mfZ = 0.0;
+                }
+            }
+            else
+            {
+                if(::basegfx::fTools::equal(mfX, fCompareValue))
+                {
+                    mfX = fCompareValue;
+                }
+
+                if(::basegfx::fTools::equal(mfY, fCompareValue))
+                {
+                    mfY = fCompareValue;
+                }
+
+                if(::basegfx::fTools::equal(mfZ, fCompareValue))
+                {
+                    mfZ = fCompareValue;
+                }
+            }
+        }
+
+        static const B3DTuple& getEmptyTuple();
+    };
+
+    // external operators
+
+
+    inline B3DTuple interpolate(const B3DTuple& rOld1, const B3DTuple& rOld2, double t)
+    {
+        if(rOld1 == rOld2)
+        {
+            return rOld1;
+        }
+        else if(0.0 >= t)
+        {
+            return rOld1;
+        }
+        else if(1.0 <= t)
+        {
+            return rOld2;
+        }
+        else
+        {
+            return B3DTuple(
+                ((rOld2.getX() - rOld1.getX()) * t) + rOld1.getX(),
+                ((rOld2.getY() - rOld1.getY()) * t) + rOld1.getY(),
+                ((rOld2.getZ() - rOld1.getZ()) * t) + rOld1.getZ());
+        }
+    }
+
+    inline B3DTuple average(const B3DTuple& rOld1, const B3DTuple& rOld2)
+    {
+        return B3DTuple(
+            rtl_math_approxEqual(rOld1.getX(), rOld2.getX()) ? rOld1.getX() : (rOld1.getX() + rOld2.getX()) * 0.5,
+            rtl_math_approxEqual(rOld1.getY(), rOld2.getY()) ? rOld1.getY() : (rOld1.getY() + rOld2.getY()) * 0.5,
+            rtl_math_approxEqual(rOld1.getZ(), rOld2.getZ()) ? rOld1.getZ() : (rOld1.getZ() + rOld2.getZ()) * 0.5);
+    }
+
+    inline B3DTuple operator+(const B3DTuple& rTupA, const B3DTuple& rTupB)
+    {
+        B3DTuple aSum(rTupA);
+        aSum += rTupB;
+        return aSum;
+    }
+
+    inline B3DTuple operator-(const B3DTuple& rTupA, const B3DTuple& rTupB)
+    {
+        B3DTuple aSub(rTupA);
+        aSub -= rTupB;
+        return aSub;
+    }
+
+    inline B3DTuple operator*(const B3DTuple& rTupA, const B3DTuple& rTupB)
+    {
+        B3DTuple aMul(rTupA);
+        aMul *= rTupB;
+        return aMul;
+    }
+
+    inline B3DTuple operator*(const B3DTuple& rTup, double t)
+    {
+        B3DTuple aNew(rTup);
+        aNew *= t;
+        return aNew;
+    }
+
+    inline B3DTuple operator/(const B3DTuple& rTup, double t)
+    {
+        B3DTuple aNew(rTup);
+        aNew /= t;
+        return aNew;
+    }
+
+    /** Round double to nearest integer for 3D tuple
+
+        @return the nearest integer for this tuple
+    */
+    BASEGFX_DLLPUBLIC B3ITuple fround(const B3DTuple& rTup);
+} // end of namespace basegfx
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/include/basegfx/tuple/b3ituple.hxx b/include/basegfx/tuple/b3ituple.hxx
new file mode 100644
index 000000000..72c9fa814
--- /dev/null
+++ b/include/basegfx/tuple/b3ituple.hxx
@@ -0,0 +1,93 @@
+/* -*- 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 .
+ */
+
+#pragma once
+
+#include <sal/types.h>
+#include <basegfx/basegfxdllapi.h>
+#include <basegfx/tuple/Tuple3D.hxx>
+
+namespace basegfx
+{
+    /** Base class for all Points/Vectors with three sal_Int32 values
+
+        This class provides all methods common to Point
+        and Vector classes which are derived from here.
+
+        @derive Use this class to implement Points or Vectors
+        which are based on three sal_Int32 values
+    */
+    class SAL_WARN_UNUSED BASEGFX_DLLPUBLIC B3ITuple : public Tuple3D<sal_Int32>
+    {
+    public:
+        /** Create a 3D Tuple
+
+            The tuple is initialized to (0, 0, 0)
+        */
+        B3ITuple()
+            : Tuple3D(0, 0, 0)
+        {}
+
+        /** Create a 3D Tuple
+
+            @param nX
+            This parameter is used to initialize the X-coordinate
+            of the 3D Tuple.
+
+            @param nY
+            This parameter is used to initialize the Y-coordinate
+            of the 3D Tuple.
+
+            @param nZ
+            This parameter is used to initialize the Z-coordinate
+            of the 3D Tuple.
+        */
+        B3ITuple(sal_Int32 nX, sal_Int32 nY, sal_Int32 nZ)
+            : Tuple3D(nX, nY, nZ)
+        {}
+
+        /// Array-access to 3D Tuple
+        const sal_Int32& operator[] (int nPos) const
+        {
+            // Here, normally two if(...)'s should be used. In the assumption that
+            // both sal_Int32 members can be accessed as an array a shortcut is used here.
+            // if(0 == nPos) return mnX; if(1 == nPos) return mnY; return mnZ;
+            return *((&mnX) + nPos);
+        }
+
+        /// Array-access to 3D Tuple
+        sal_Int32& operator[] (int nPos)
+        {
+            // Here, normally two if(...)'s should be used. In the assumption that
+            // both sal_Int32 members can be accessed as an array a shortcut is used here.
+            // if(0 == nPos) return mnX; if(1 == nPos) return mnY; return mnZ;
+            return *((&mnX) + nPos);
+        }
+
+        // operators
+
+        B3ITuple operator-(void) const
+        {
+            return B3ITuple(-mnX, -mnY, -mnZ);
+        }
+    };
+
+} // end of namespace basegfx
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */