xref: /trunk/main/basegfx/source/vector/b2dvector.cxx (revision 18e39f1b61b4f1cbad5dde1ff548849e2cddffe7)

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 *
 * 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
 *
 * Unless required by applicable law or agreed to in writing,
 * software distributed under the License is distributed on an
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 * KIND, either express or implied.  See the License for the
 * specific language governing permissions and limitations
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// 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(1.0);

            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

/* vim: set noet sw=4 ts=4: */