qvector3d.cpp

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#include "qvector3d.h"
#include "qvector2d.h"
#include "qvector4d.h"
#include <QtCore/qmath.h>
#include <QtCore/qvariant.h>
#include <QtCore/qdebug.h>

QT_BEGIN_NAMESPACE

#ifndef QT_NO_VECTOR3D

#ifndef QT_NO_VECTOR2D

QVector3D::QVector3D(const QVector2D& vector)
{
    xp = vector.xp;
    yp = vector.yp;
    zp = 0.0f;
}

QVector3D::QVector3D(const QVector2D& vector, qreal zpos)
{
    xp = vector.xp;
    yp = vector.yp;
    zp = zpos;
}

#endif

#ifndef QT_NO_VECTOR4D

QVector3D::QVector3D(const QVector4D& vector)
{
    xp = vector.xp;
    yp = vector.yp;
    zp = vector.zp;
}

#endif

QVector3D QVector3D::normalized() const
{
    // Need some extra precision if the length is very small.
    double len = double(xp) * double(xp) +
                 double(yp) * double(yp) +
                 double(zp) * double(zp);
    if (qFuzzyIsNull(len - 1.0f))
        return *this;
    else if (!qFuzzyIsNull(len))
        return *this / qSqrt(len);
    else
        return QVector3D();
}

void QVector3D::normalize()
{
    // Need some extra precision if the length is very small.
    double len = double(xp) * double(xp) +
                 double(yp) * double(yp) +
                 double(zp) * double(zp);
    if (qFuzzyIsNull(len - 1.0f) || qFuzzyIsNull(len))
        return;

    len = qSqrt(len);

    xp /= len;
    yp /= len;
    zp /= len;
}

qreal QVector3D::dotProduct(const QVector3D& v1, const QVector3D& v2)
{
    return v1.xp * v2.xp + v1.yp * v2.yp + v1.zp * v2.zp;
}

QVector3D QVector3D::crossProduct(const QVector3D& v1, const QVector3D& v2)
{
    return QVector3D(v1.yp * v2.zp - v1.zp * v2.yp,
                    v1.zp * v2.xp - v1.xp * v2.zp,
                    v1.xp * v2.yp - v1.yp * v2.xp, 1);
}

QVector3D QVector3D::normal(const QVector3D& v1, const QVector3D& v2)
{
    return crossProduct(v1, v2).normalized();
}

QVector3D QVector3D::normal
        (const QVector3D& v1, const QVector3D& v2, const QVector3D& v3)
{
    return crossProduct((v2 - v1), (v3 - v1)).normalized();
}

qreal QVector3D::distanceToPlane
        (const QVector3D& plane, const QVector3D& normal) const
{
    return dotProduct(*this - plane, normal);
}

qreal QVector3D::distanceToPlane
    (const QVector3D& plane1, const QVector3D& plane2, const QVector3D& plane3) const
{
    QVector3D n = normal(plane2 - plane1, plane3 - plane1);
    return dotProduct(*this - plane1, n);
}

qreal QVector3D::distanceToLine
        (const QVector3D& point, const QVector3D& direction) const
{
    if (direction.isNull())
        return (*this - point).length();
    QVector3D p = point + dotProduct(*this - point, direction) * direction;
    return (*this - p).length();
}

#ifndef QT_NO_VECTOR2D

QVector2D QVector3D::toVector2D() const
{
    return QVector2D(xp, yp, 1);
}

#endif

#ifndef QT_NO_VECTOR4D

QVector4D QVector3D::toVector4D() const
{
    return QVector4D(xp, yp, zp, 0.0f, 1);
}

#endif

QVector3D::operator QVariant() const
{
    return QVariant(QVariant::Vector3D, this);
}

qreal QVector3D::length() const
{
    return qSqrt(xp * xp + yp * yp + zp * zp);
}

qreal QVector3D::lengthSquared() const
{
    return xp * xp + yp * yp + zp * zp;
}

#ifndef QT_NO_DEBUG_STREAM

QDebug operator<<(QDebug dbg, const QVector3D &vector)
{
    dbg.nospace() << "QVector3D("
        << vector.x() << ", " << vector.y() << ", " << vector.z() << ')';
    return dbg.space();
}

#endif

#ifndef QT_NO_DATASTREAM

QDataStream &operator<<(QDataStream &stream, const QVector3D &vector)
{
    stream << double(vector.x()) << double(vector.y())
           << double(vector.z());
    return stream;
}

QDataStream &operator>>(QDataStream &stream, QVector3D &vector)
{
    double x, y, z;
    stream >> x;
    stream >> y;
    stream >> z;
    vector.setX(qreal(x));
    vector.setY(qreal(y));
    vector.setZ(qreal(z));
    return stream;
}

#endif // QT_NO_DATASTREAM

#endif // QT_NO_VECTOR3D

QT_END_NAMESPACE