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+/*************************************************************************
+ *
+ * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
+ *
+ * Copyright 2000, 2010 Oracle and/or its affiliates.
+ *
+ * OpenOffice.org - a multi-platform office productivity suite
+ *
+ * This file is part of OpenOffice.org.
+ *
+ * OpenOffice.org is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU Lesser General Public License version 3
+ * only, as published by the Free Software Foundation.
+ *
+ * OpenOffice.org is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU Lesser General Public License version 3 for more details
+ * (a copy is included in the LICENSE file that accompanied this code).
+ *
+ * You should have received a copy of the GNU Lesser General Public License
+ * version 3 along with OpenOffice.org. If not, see
+ * <http://www.openoffice.org/license.html>
+ * for a copy of the LGPLv3 License.
+ *
+ ************************************************************************/
+
+#ifndef _BGFX_VECTOR_B3DVECTOR_HXX
+#define _BGFX_VECTOR_B3DVECTOR_HXX
+
+#include <basegfx/tuple/b3dtuple.hxx>
+
+//////////////////////////////////////////////////////////////////////////////
+
+namespace basegfx
+{
+ // predeclaration
+ class B3DHomMatrix;
+
+ /** Base Point class with three double values
+
+ This class derives all operators and common handling for
+ a 3D data class from B3DTuple. All necessary extensions
+ which are special for 3D Vectors are added here.
+
+ @see B3DTuple
+ */
+ class B3DVector : public ::basegfx::B3DTuple
+ {
+ public:
+ /** Create a 3D Vector
+
+ The vector is initialized to (0.0, 0.0, 0.0)
+ */
+ B3DVector()
+ : B3DTuple()
+ {}
+
+ /** Create a 3D Vector
+
+ @param fX
+ This parameter is used to initialize the X-coordinate
+ of the 3D Vector.
+
+ @param fY
+ This parameter is used to initialize the Y-coordinate
+ of the 3D Vector.
+
+ @param fZ
+ This parameter is used to initialize the Z-coordinate
+ of the 3D Vector.
+ */
+ B3DVector(double fX, double fY, double fZ)
+ : B3DTuple(fX, fY, fZ)
+ {}
+
+ /** Create a copy of a 3D Vector
+
+ @param rVec
+ The 3D Vector which will be copied.
+ */
+ B3DVector(const B3DVector& rVec)
+ : B3DTuple(rVec)
+ {}
+
+ /** constructor with tuple to allow copy-constructing
+ from B3DTuple-based classes
+ */
+ B3DVector(const ::basegfx::B3DTuple& rTuple)
+ : B3DTuple(rTuple)
+ {}
+
+ ~B3DVector()
+ {}
+
+ /** *=operator to allow usage from B3DVector, too
+ */
+ B3DVector& operator*=( const B3DVector& rPnt )
+ {
+ mfX *= rPnt.mfX;
+ mfY *= rPnt.mfY;
+ mfZ *= rPnt.mfZ;
+ return *this;
+ }
+
+ /** *=operator to allow usage from B3DVector, too
+ */
+ B3DVector& operator*=(double t)
+ {
+ mfX *= t;
+ mfY *= t;
+ mfZ *= t;
+ return *this;
+ }
+
+ /** assignment operator to allow assigning the results
+ of B3DTuple calculations
+ */
+ B3DVector& operator=( const ::basegfx::B3DTuple& rVec )
+ {
+ mfX = rVec.getX();
+ mfY = rVec.getY();
+ mfZ = rVec.getZ();
+ return *this;
+ }
+
+ /** Calculate the length of this 3D Vector
+
+ @return The Length of the 3D Vector
+ */
+ double getLength(void) const
+ {
+ double fLen(scalar(*this));
+ if((0.0 == fLen) || (1.0 == fLen))
+ return fLen;
+ return sqrt(fLen);
+ }
+
+ /** Calculate the length in the XY-Plane for this 3D Vector
+
+ @return The XY-Plane Length of the 3D Vector
+ */
+ double getXYLength(void) const
+ {
+ double fLen((mfX * mfX) + (mfY * mfY));
+ if((0.0 == fLen) || (1.0 == fLen))
+ return fLen;
+ return sqrt(fLen);
+ }
+
+ /** Calculate the length in the XZ-Plane for this 3D Vector
+
+ @return The XZ-Plane Length of the 3D Vector
+ */
+ double getXZLength(void) const
+ {
+ double fLen((mfX * mfX) + (mfZ * mfZ)); // #i73040#
+ if((0.0 == fLen) || (1.0 == fLen))
+ return fLen;
+ return sqrt(fLen);
+ }
+
+ /** Calculate the length in the YZ-Plane for this 3D Vector
+
+ @return The YZ-Plane Length of the 3D Vector
+ */
+ double getYZLength(void) const
+ {
+ double fLen((mfY * mfY) + (mfZ * mfZ));
+ if((0.0 == fLen) || (1.0 == fLen))
+ return fLen;
+ return sqrt(fLen);
+ }
+
+ /** Set the length of this 3D Vector
+
+ @param fLen
+ The to be achieved length of the 3D Vector
+ */
+ B3DVector& setLength(double fLen)
+ {
+ double fLenNow(scalar(*this));
+
+ if(!::basegfx::fTools::equalZero(fLenNow))
+ {
+ const double fOne(1.0);
+
+ if(!::basegfx::fTools::equal(fOne, fLenNow))
+ {
+ fLen /= sqrt(fLenNow);
+ }
+
+ mfX *= fLen;
+ mfY *= fLen;
+ mfZ *= fLen;
+ }
+
+ return *this;
+ }
+
+ /** Normalize this 3D Vector
+
+ The length of the 3D Vector is set to 1.0
+ */
+ B3DVector& normalize();
+
+ /** Test if this 3D Vector is normalized
+
+ @return
+ true if lenth of vector is equal to 1.0
+ false else
+ */
+ bool isNormalized() const
+ {
+ const double fOne(1.0);
+ const double fScalar(scalar(*this));
+
+ return (::basegfx::fTools::equal(fOne, fScalar));
+ }
+
+ /** get a 3D Vector which is perpendicular to this and a given 3D Vector
+
+ @attention This only works if this and the given 3D Vector are
+ both normalized.
+
+ @param rNormalizedVec
+ A normalized 3D Vector.
+
+ @return
+ A 3D Vector perpendicular to this and the given one
+ */
+ B3DVector getPerpendicular(const B3DVector& rNormalizedVec) const;
+
+ /** get the projection of this Vector on the given Plane
+
+ @attention This only works if the given 3D Vector defining
+ the Plane is normalized.
+
+ @param rNormalizedPlane
+ A normalized 3D Vector defining a Plane.
+
+ @return
+ The projected 3D Vector
+ */
+ B3DVector getProjectionOnPlane(const B3DVector& rNormalizedPlane) const;
+
+ /** Calculate the Scalar product
+
+ This method calculates the Scalar product between this
+ and the given 3D Vector.
+
+ @param rVec
+ A second 3D Vector.
+
+ @return
+ The Scalar Product of two 3D Vectors
+ */
+ double scalar(const B3DVector& rVec) const
+ {
+ return ((mfX * rVec.mfX) + (mfY * rVec.mfY) + (mfZ * rVec.mfZ));
+ }
+
+ /** Transform vector by given transformation matrix.
+
+ Since this is a vector, translational components of the
+ matrix are disregarded.
+ */
+ B3DVector& operator*=( const B3DHomMatrix& rMat );
+
+ static const B3DVector& getEmptyVector()
+ {
+ return (const B3DVector&) ::basegfx::B3DTuple::getEmptyTuple();
+ }
+ };
+
+ // external operators
+ //////////////////////////////////////////////////////////////////////////
+
+ /** get a 3D Vector which is in 2D (ignoring
+ the Z-Coordinate) perpendicular to a given 3D Vector
+
+ @attention This only works if the given 3D Vector is normalized.
+
+ @param rNormalizedVec
+ A normalized 3D Vector.
+
+ @return
+ A 3D Vector perpendicular to the given one in X,Y (2D).
+ */
+ inline B3DVector getPerpendicular2D( const B3DVector& rNormalizedVec )
+ {
+ B3DVector aPerpendicular(-rNormalizedVec.getY(), rNormalizedVec.getX(), rNormalizedVec.getZ());
+ return aPerpendicular;
+ }
+
+ /** Test two vectors which need not to be normalized for parallelism
+
+ @param rVecA
+ The first 3D Vector
+
+ @param rVecB
+ The second 3D Vector
+
+ @return
+ bool if the two values are parallel. Also true if
+ one of the vectors is empty.
+ */
+ bool areParallel( const B3DVector& rVecA, const B3DVector& rVecB );
+
+ /** Transform vector by given transformation matrix.
+
+ Since this is a vector, translational components of the
+ matrix are disregarded.
+ */
+ B3DVector operator*( const B3DHomMatrix& rMat, const B3DVector& rVec );
+
+ /** Calculate the Cross Product of two 3D Vectors
+
+ @param rVecA
+ A first 3D Vector.
+
+ @param rVecB
+ A second 3D Vector.
+
+ @return
+ The Cross Product of both 3D Vectors
+ */
+ inline B3DVector cross(const B3DVector& rVecA, const B3DVector& rVecB)
+ {
+ B3DVector aVec(
+ rVecA.getY() * rVecB.getZ() - rVecA.getZ() * rVecB.getY(),
+ rVecA.getZ() * rVecB.getX() - rVecA.getX() * rVecB.getZ(),
+ rVecA.getX() * rVecB.getY() - rVecA.getY() * rVecB.getX());
+ return aVec;
+ }
+} // end of namespace basegfx
+
+//////////////////////////////////////////////////////////////////////////////
+
+#endif /* _BGFX_VECTOR_B3DVECTOR_HXX */