qtransform.cpp

奇趣公司比较新的qt/emd版本

        QTransform result;
        if (axis == Qt::YAxis) {
            result.affine._m11 = cosa;
            result.m_13 = -sina * inv_dist_to_plane;
        } else {
            result.affine._m22 = cosa;
            result.m_23 = -sina * inv_dist_to_plane;
        }
        m_dirty = TxProject;
        *this = result * *this;
    }
    return *this;
}

/*!
    \fn bool QTransform::operator==(const QTransform &matrix) const
    Returns true if this matrix is equal to the given \a matrix,
    otherwise returns false.
*/
bool QTransform::operator==(const QTransform &o) const
{
#define qFZ qFuzzyCompare
    return qFZ(affine._m11, o.affine._m11) &&  qFZ(affine._m12, o.affine._m12) &&  qFZ(m_13, o.m_13)
        && qFZ(affine._m21, o.affine._m21) &&  qFZ(affine._m22, o.affine._m22) &&  qFZ(m_23, o.m_23)
        && qFZ(affine._dx, o.affine._dx) &&  qFZ(affine._dy, o.affine._dy) &&  qFZ(m_33, o.m_33);
#undef qFZ
}

/*!
    \fn bool QTransform::operator!=(const QTransform &matrix) const
    Returns true if this matrix is not equal to the given \a matrix,
    otherwise returns false.
*/
bool QTransform::operator!=(const QTransform &o) const
{
    return !operator==(o);
}

/*!
    \fn QTransform & QTransform::operator*=(const QTransform &matrix)
    \overload

    Returns the result of multiplying this matrix by the given \a
    matrix.
*/
QTransform & QTransform::operator*=(const QTransform &o)
{
    qreal m11 = affine._m11*o.affine._m11 + affine._m12*o.affine._m21 + m_13*o.affine._dx;
    qreal m12 = affine._m11*o.affine._m12 + affine._m12*o.affine._m22 + m_13*o.affine._dy;
    qreal m13 = affine._m11*o.m_13 + affine._m12*o.m_23 + m_13*o.m_33;

    qreal m21 = affine._m21*o.affine._m11 + affine._m22*o.affine._m21 + m_23*o.affine._dx;
    qreal m22 = affine._m21*o.affine._m12 + affine._m22*o.affine._m22 + m_23*o.affine._dy;
    qreal m23 = affine._m21*o.m_13 + affine._m22*o.m_23 + m_23*o.m_33;

    qreal m31 = affine._dx*o.affine._m11 + affine._dy*o.affine._m21 + m_33*o.affine._dx;
    qreal m32 = affine._dx*o.affine._m12 + affine._dy*o.affine._m22 + m_33*o.affine._dy;
    qreal m33 = affine._dx*o.m_13 + affine._dy*o.m_23 + m_33*o.m_33;

    affine._m11 = m11/m33; affine._m12 = m12/m33; m_13 = m13/m33;
    affine._m21 = m21/m33; affine._m22 = m22/m33; m_23 = m23/m33;
    affine._dx = m31/m33; affine._dy = m32/m33; m_33 = 1.0;

    m_dirty = m_dirty | m_type | o.m_dirty | o.m_type;

    return *this;
}

/*!
    \fn QTransform QTransform::operator*(const QTransform &matrix) const
    Returns the result of multiplying this matrix by the given \a
    matrix.

    Note that matrix multiplication is not commutative, i.e. a*b !=
    b*a.
*/
QTransform QTransform::operator*(const QTransform &m) const
{
    QTransform result = *this;
    result *= m;
    return result;
}

/*!
    \fn QTransform & QTransform::operator*=(qreal scalar)
    \overload

    Returns the result of performing an element-wise multiplication of this
    matrix with the given \a scalar.
*/

/*!
    \fn QTransform & QTransform::operator/=(qreal scalar)
    \overload

    Returns the result of performing an element-wise division of this
    matrix by the given \a scalar.
*/

/*!
    \fn QTransform & QTransform::operator+=(qreal scalar)
    \overload

    Returns the matrix obtained by adding the given \a scalar to each
    element of this matrix.
*/

/*!
    \fn QTransform & QTransform::operator-=(qreal scalar)
    \overload

    Returns the matrix obtained by subtracting the given \a scalar from each
    element of this matrix.
*/

/*!
    Assigns the given \a matrix's values to this matrix.
*/
QTransform & QTransform::operator=(const QTransform &matrix)
{
    affine._m11 = matrix.affine._m11;
    affine._m12 = matrix.affine._m12;
    m_13 = matrix.m_13;
    affine._m21 = matrix.affine._m21;
    affine._m22 = matrix.affine._m22;
    m_23 = matrix.m_23;
    affine._dx = matrix.affine._dx;
    affine._dy = matrix.affine._dy;
    m_33 = matrix.m_33;
    m_type = matrix.m_type;
    m_dirty = matrix.m_dirty;

    return *this;
}

/*!
    Resets the matrix to an identity matrix, i.e. all elements are set
    to zero, except \c m11 and \c m22 (specifying the scale) which are
    set to 1.

    \sa QTransform(), isIdentity(), {QTransform#Basic Matrix
    Operations}{Basic Matrix Operations}
*/
void QTransform::reset()
{
    affine._m11 = affine._m22 = m_33 = 1.0;
    affine._m12 = m_13 = affine._m21 = m_23 = affine._dx = affine._dy = 0;
    m_type = TxNone;
    m_dirty = TxNone;
}

#ifndef QT_NO_DATASTREAM
/*!
    \fn QDataStream &operator<<(QDataStream &stream, const QTransform &matrix)
    \since 4.3
    \relates QTransform

    Writes the given \a matrix to the given \a stream and returns a
    reference to the stream.

    \sa {Format of the QDataStream Operators}
*/
QDataStream & operator<<(QDataStream &s, const QTransform &m)
{
    s << double(m.m11())
      << double(m.m12())
      << double(m.m13())
      << double(m.m21())
      << double(m.m22())
      << double(m.m23())
      << double(m.m31())
      << double(m.m32())
      << double(m.m33());
    return s;
}

/*!
    \fn QDataStream &operator>>(QDataStream &stream, QTransform &matrix)
    \since 4.3
    \relates QTransform

    Reads the given \a matrix from the given \a stream and returns a
    reference to the stream.

    \sa {Format of the QDataStream Operators}
*/
QDataStream & operator>>(QDataStream &s, QTransform &t)
{
     double m11, m12, m13,
         m21, m22, m23,
         m31, m32, m33;

     s >> m11;
     s >> m12;
     s >> m13;
     s >> m21;
     s >> m22;
     s >> m23;
     s >> m31;
     s >> m32;
     s >> m33;
     t.setMatrix(m11, m12, m13,
                 m21, m22, m23,
                 m31, m32, m33);
     return s;
}

#endif // QT_NO_DATASTREAM

#ifndef QT_NO_DEBUG_STREAM
QDebug operator<<(QDebug dbg, const QTransform &m)
{
    dbg.nospace() << "QTransform("
                  << "11="  << m.m11()
                  << " 12=" << m.m12()
                  << " 13=" << m.m13()
                  << " 21=" << m.m21()
                  << " 22=" << m.m22()
                  << " 23=" << m.m23()
                  << " 31=" << m.m31()
                  << " 32=" << m.m32()
                  << " 33=" << m.m33()
                  << ")";
    return dbg.space();
}
#endif

/*!
    \fn QPoint operator*(const QPoint &point, const QTransform &matrix)
    \relates QTransform

    This is the same as \a{matrix}.map(\a{point}).

    \sa QTransform::map()
*/
QPoint QTransform::map(const QPoint &p) const
{
    qreal fx = p.x();
    qreal fy = p.y();

    qreal x = affine._m11 * fx + affine._m21 * fy + affine._dx;
    qreal y = affine._m12 * fx + affine._m22 * fy + affine._dy;

    if (isAffine()) {
        return QPoint(qRound(x), qRound(y));
    } else {
        qreal w = m_13 * fx + m_23 * fy + m_33;
        return QPoint(qRound(x/w), qRound(y/w));
    }
}


/*!
    \fn QPointF operator*(const QPointF &point, const QTransform &matrix)
    \relates QTransform

    Same as \a{matrix}.map(\a{point}).

    \sa QTransform::map()
*/

/*!
    \overload

    Creates and returns a QPointF object that is a copy of the given point,
    \a p, mapped into the coordinate system defined by this matrix.
*/
QPointF QTransform::map(const QPointF &p) const
{
    qreal fx = p.x();
    qreal fy = p.y();

    qreal x = affine._m11 * fx + affine._m21 * fy + affine._dx;
    qreal y = affine._m12 * fx + affine._m22 * fy + affine._dy;

    if (isAffine()) {
        return QPointF(x, y);
    } else {
        qreal w = m_13 * fx + m_23 * fy + m_33;
        return QPointF(x/w, y/w);
    }
}

/*!
    \fn QPoint QTransform::map(const QPoint &point) const
    \overload

    Creates and returns a QPoint object that is a copy of the given \a
    point, mapped into the coordinate system defined by this
    matrix. Note that the transformed coordinates are rounded to the
    nearest integer.
*/

/*!
    \fn QLineF operator*(const QLineF &line, const QTransform &matrix)
    \relates QTransform

    This is the same as \a{matrix}.map(\a{line}).

    \sa QTransform::map()
*/

/*!
    \fn QLine operator*(const QLine &line, const QTransform &matrix)
    \relates QTransform

    This is the same as \a{matrix}.map(\a{line}).

    \sa QTransform::map()
*/

/*!
    \overload

    Creates and returns a QLineF object that is a copy of the given line,
    \a l, mapped into the coordinate system defined by this matrix.
*/
QLine QTransform::map(const QLine &l) const
{
    return QLine(map(l.p1()), map(l.p2()));
}

/*!
    \overload

    \fn QLineF QTransform::map(const QLineF &line) const
    
    Creates and returns a QLine object that is a copy of the given \a
    line, mapped into the coordinate system defined by this matrix.
    Note that the transformed coordinates are rounded to the nearest
    integer.
*/

QLineF QTransform::map(const QLineF &l) const
{
    return QLineF(map(l.p1()), map(l.p2()));
}

/*!
    \fn QPolygonF operator *(const QPolygonF &polygon, const QTransform &matrix)
    \since 4.3
    \relates QTransform

    This is the same as \a{matrix}.map(\a{polygon}).

    \sa QTransform::map()
*/

/*!
    \fn QPolygon operator*(const QPolygon &polygon, const QTransform &matrix)
    \relates QTransform

    This is the same as \a{matrix}.map(\a{polygon}).

    \sa QTransform::map()
*/

/*!
    \fn QPolygonF QTransform::map(const QPolygonF &polygon) const
    \overload

    Creates and returns a QPolygonF object that is a copy of the given
    \a polygon, mapped into the coordinate system defined by this
    matrix.
*/
QPolygonF QTransform::map(const QPolygonF &a) const
{
    int size = a.size();
    int i;
    QPolygonF p(size);
    const QPointF *da = a.constData();
    QPointF *dp = p.data();

    qreal fx, fy;
    for(i = 0; i < size; ++i) {
        MAPDOUBLE(da[i].xp, da[i].yp, dp[i].xp, dp[i].yp);
    }
    return p;
}

/*!
    \fn QPolygon QTransform::map(const QPolygon &polygon) const
    \overload

    Creates and returns a QPolygon object that is a copy of the given
    \a polygon, mapped into the coordinate system defined by this
    matrix. Note that the transformed coordinates are rounded to the
    nearest integer.
*/
QPolygon QTransform::map(const QPolygon &a) const
{
    int size = a.size();
    int i;
    QPolygon p(size);
    const QPoint *da = a.constData();
    QPoint *dp = p.data();

    int fx, fy;
    for(i = 0; i < size; ++i) {
        MAPINT(da[i].xp, da[i].yp, dp[i].xp, dp[i].yp);
    }
    return p;
}

/*!
    \fn QRegion operator*(const QRegion &region, const QTransform &matrix)
    \relates QTransform

    This is the same as \a{matrix}.map(\a{region}).

    \sa QTransform::map()
*/

/*!
    \fn QRegion QTransform::map(const QRegion &region) const
    \overload

    Creates and returns a QRegion object that is a copy of the given
    \a region, mapped into the coordinate system defined by this matrix.

    Calling this method can be rather expensive if rotations or
    shearing are used.
*/
QRegion QTransform::map(const QRegion &r) const
{
    if (isAffine() && !isScaling() && !isRotating()) { // translate or identity
        if (!isTranslating()) // Identity
            return r;
        QRegion copy(r);
        copy.translate(qRound(affine._dx), qRound(affine._dy));
        return copy;
    }

    QPainterPath p;
    p.addRegion(r);
    p = map(p);
    return p.toFillPolygon(QTransform()).toPolygon();
}

/*!
    \fn QPainterPath operator *(const QPainterPath &path, const QTransform &matrix)
    \since 4.3
    \relates QTransform

    This is the same as \a{matrix}.map(\a{path}).

    \sa QTransform::map()
*/

/*!
    \overload

    Creates and returns a QPainterPath object that is a copy of the
    given \a path, mapped into the coordinate system defined by this
    matrix.
*/
QPainterPath QTransform::map(const QPainterPath &path) const
{

    if (path.isEmpty())
        return QPainterPath();

    QPainterPath copy = path;

    // Translate or identity
    if (isAffine() && !isScaling() && !isRotating()) {

        // Translate
        if (isTranslating()) {
            copy.detach();
            for (int i=0; i<path.elementCount(); ++i) {
                QPainterPath::Element &e = copy.d_ptr->elements[i];
                e.x += affine._dx;
                e.y += affine._dy;
            }
        }

    // Full xform
    } else {
        copy.detach();
        qreal fx, fy;
        for (int i=0; i<path.elementCount(); ++i) {
            QPainterPath::Element &e = copy.d_ptr->elements[i];
            MAPDOUBLE(e.x, e.y, e.x, e.y);
        }
    }

    return copy;
}

/*!
    \fn QPolygon QTransform::mapToPolygon(const QRect &rectangle) const

    Creates and returns a QPolygon representation of the given \a
    rectangle, mapped into the coordinate system defined by this
    matrix.

    The rectangle's coordinates are transformed using the following
    formulas:

    \code
        x' = m11*x + m21*y + dx
        y' = m22*y + m12*x + dy
        if (is not affine) {
            w' = m13*x + m23*y + m33
            x' /= w'
            y' /= w'
        }
    \endcode

    Polygons and rectangles behave slightly differently when
    transformed (due to integer rounding), so
    \c{matrix.map(QPolygon(rectangle))} is not always the same as
    \c{matrix.mapToPolygon(rectangle)}.

    \sa mapRect(), {QTransform#Basic Matrix Operations}{Basic Matrix
    Operations}
*/
QPolygon QTransform::mapToPolygon(const QRect &rect) const
{

    QPolygon a(4);
    qreal x[4], y[4];
    if (isAffine() && !isRotating()) {
        x[0] = affine._m11*rect.x() + affine._dx;
        y[0] = affine._m22*rect.y() + affine._dy;
        qreal w = affine._m11*rect.width();
        qreal h = affine._m22*rect.height();
        if (w < 0) {
            w = -w;
            x[0] -= w;
        }
        if (h < 0) {
            h = -h;
            y[0] -= h;
        }
        x[1] = x[0]+w;