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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
* "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
* 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
// eof