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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.
+ *
+ ************************************************************************/
+
+// MARKER(update_precomp.py): autogen include statement, do not remove
+#include "precompiled_basegfx.hxx"
+#include <basegfx/vector/b2dvector.hxx>
+#include <basegfx/matrix/b2dhommatrix.hxx>
+#include <basegfx/numeric/ftools.hxx>
+
+namespace basegfx
+{
+ B2DVector& B2DVector::normalize()
+ {
+ double fLen(scalar(*this));
+
+ if(fTools::equalZero(fLen))
+ {
+ mfX = 0.0;
+ mfY = 0.0;
+ }
+ else
+ {
+ const double fOne(1.0);
+
+ if(!fTools::equal(fOne, fLen))
+ {
+ fLen = sqrt(fLen);
+
+ if(!fTools::equalZero(fLen))
+ {
+ mfX /= fLen;
+ mfY /= fLen;
+ }
+ }
+ }
+
+ return *this;
+ }
+
+ B2DVector& B2DVector::operator=( const B2DTuple& rVec )
+ {
+ mfX = rVec.getX();
+ mfY = rVec.getY();
+ return *this;
+ }
+
+
+ double B2DVector::getLength() const
+ {
+ if(fTools::equalZero(mfX))
+ {
+ return fabs(mfY);
+ }
+ else if(fTools::equalZero(mfY))
+ {
+ return fabs(mfX);
+ }
+
+ return hypot( mfX, mfY );
+ }
+
+ double B2DVector::scalar( const B2DVector& rVec ) const
+ {
+ return((mfX * rVec.mfX) + (mfY * rVec.mfY));
+ }
+
+ double B2DVector::cross( const B2DVector& rVec ) const
+ {
+ return(mfX * rVec.getY() - mfY * rVec.getX());
+ }
+
+ double B2DVector::angle( const B2DVector& rVec ) const
+ {
+ return atan2(mfX * rVec.getY() - mfY * rVec.getX(),
+ mfX * rVec.getX() + mfY * rVec.getY());
+ }
+
+ const B2DVector& B2DVector::getEmptyVector()
+ {
+ return (const B2DVector&) B2DTuple::getEmptyTuple();
+ }
+
+ B2DVector& B2DVector::operator*=( const B2DHomMatrix& rMat )
+ {
+ const double fTempX( rMat.get(0,0)*mfX +
+ rMat.get(0,1)*mfY );
+ const double fTempY( rMat.get(1,0)*mfX +
+ rMat.get(1,1)*mfY );
+ mfX = fTempX;
+ mfY = fTempY;
+
+ return *this;
+ }
+
+ B2DVector& B2DVector::setLength(double fLen)
+ {
+ double fLenNow(scalar(*this));
+
+ if(!fTools::equalZero(fLenNow))
+ {
+ const double fOne(10.0);
+
+ if(!fTools::equal(fOne, fLenNow))
+ {
+ fLen /= sqrt(fLenNow);
+ }
+
+ mfX *= fLen;
+ mfY *= fLen;
+ }
+
+ return *this;
+ }
+
+ bool B2DVector::isNormalized() const
+ {
+ const double fOne(1.0);
+ const double fScalar(scalar(*this));
+
+ return fTools::equal(fOne, fScalar);
+ }
+
+ bool areParallel( const B2DVector& rVecA, const B2DVector& rVecB )
+ {
+ const double fValA(rVecA.getX() * rVecB.getY());
+ const double fValB(rVecA.getY() * rVecB.getX());
+
+ return fTools::equal(fValA, fValB);
+ }
+
+ B2VectorOrientation getOrientation( const B2DVector& rVecA, const B2DVector& rVecB )
+ {
+ double fVal(rVecA.getX() * rVecB.getY() - rVecA.getY() * rVecB.getX());
+
+ if(fTools::equalZero(fVal))
+ {
+ return ORIENTATION_NEUTRAL;
+ }
+
+ if(fVal > 0.0)
+ {
+ return ORIENTATION_POSITIVE;
+ }
+ else
+ {
+ return ORIENTATION_NEGATIVE;
+ }
+ }
+
+ B2DVector getPerpendicular( const B2DVector& rNormalizedVec )
+ {
+ B2DVector aPerpendicular(-rNormalizedVec.getY(), rNormalizedVec.getX());
+ return aPerpendicular;
+ }
+
+ B2DVector getNormalizedPerpendicular( const B2DVector& rVec )
+ {
+ B2DVector aPerpendicular(rVec);
+ aPerpendicular.normalize();
+ const double aTemp(-aPerpendicular.getY());
+ aPerpendicular.setY(aPerpendicular.getX());
+ aPerpendicular.setX(aTemp);
+ return aPerpendicular;
+ }
+
+ B2DVector operator*( const B2DHomMatrix& rMat, const B2DVector& rVec )
+ {
+ B2DVector aRes( rVec );
+ return aRes*=rMat;
+ }
+
+ B2VectorContinuity getContinuity(const B2DVector& rBackVector, const B2DVector& rForwardVector )
+ {
+ if(rBackVector.equalZero() || rForwardVector.equalZero())
+ {
+ return CONTINUITY_NONE;
+ }
+
+ if(fTools::equal(rBackVector.getX(), -rForwardVector.getX()) && fTools::equal(rBackVector.getY(), -rForwardVector.getY()))
+ {
+ // same direction and same length -> C2
+ return CONTINUITY_C2;
+ }
+
+ if(areParallel(rBackVector, rForwardVector) && rBackVector.scalar(rForwardVector) < 0.0)
+ {
+ // parallel and opposite direction -> C1
+ return CONTINUITY_C1;
+ }
+
+ return CONTINUITY_NONE;
+ }
+} // end of namespace basegfx
+
+// eof