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+/****************************************************************************
+**
+** Copyright (C) 2009 Nokia Corporation and/or its subsidiary(-ies).
+** Contact: Qt Software Information (qt-info@nokia.com)
+**
+** This file is part of the QtCore module of the Qt Toolkit.
+**
+** $QT_BEGIN_LICENSE:LGPL$
+** No Commercial Usage
+** This file contains pre-release code and may not be distributed.
+** You may use this file in accordance with the terms and conditions
+** contained in the either Technology Preview License Agreement or the
+** Beta Release License Agreement.
+**
+** GNU Lesser General Public License Usage
+** Alternatively, this file may be used under the terms of the GNU Lesser
+** General Public License version 2.1 as published by the Free Software
+** Foundation and appearing in the file LICENSE.LGPL included in the
+** packaging of this file.  Please review the following information to
+** ensure the GNU Lesser General Public License version 2.1 requirements
+** will be met: http://www.gnu.org/licenses/old-licenses/lgpl-2.1.html.
+**
+** In addition, as a special exception, Nokia gives you certain
+** additional rights. These rights are described in the Nokia Qt LGPL
+** Exception version 1.0, included in the file LGPL_EXCEPTION.txt in this
+** package.
+**
+** GNU General Public License Usage
+** Alternatively, this file may be used under the terms of the GNU
+** General Public License version 3.0 as published by the Free Software
+** Foundation and appearing in the file LICENSE.GPL included in the
+** packaging of this file.  Please review the following information to
+** ensure the GNU General Public License version 3.0 requirements will be
+** met: http://www.gnu.org/copyleft/gpl.html.
+**
+** If you are unsure which license is appropriate for your use, please
+** contact the sales department at qt-sales@nokia.com.
+** $QT_END_LICENSE$
+**
+****************************************************************************/
+
+#include "qrect.h"
+#include "qdatastream.h"
+#include "qdebug.h"
+#include "qmath.h"
+
+#include <math.h>
+
+QT_BEGIN_NAMESPACE
+
+/*!
+    \class QRect
+    \ingroup multimedia
+
+    \brief The QRect class defines a rectangle in the plane using
+    integer precision.
+
+    A rectangle is normally expressed as an upper-left corner and a
+    size.  The size (width and height) of a QRect is always equivalent
+    to the mathematical rectangle that forms the basis for its
+    rendering.
+
+    A QRect can be constructed with a set of left, top, width and
+    height integers, or from a QPoint and a QSize.  The following code
+    creates two identical rectangles.
+
+    \snippet doc/src/snippets/code/src_corelib_tools_qrect.cpp 0
+
+    There is a third constructor that creates a QRect using the
+    top-left and bottom-right coordinates, but we recommend that you
+    avoid using it. The rationale is that for historical reasons the
+    values returned by the bottom() and right() functions deviate from
+    the true bottom-right corner of the rectangle.
+
+    The QRect class provides a collection of functions that return the
+    various rectangle coordinates, and enable manipulation of
+    these. QRect also provide functions to move the rectangle relative
+    to the various coordinates. In addition there is a moveTo()
+    function that moves the rectangle, leaving its top left corner at
+    the given coordinates. Alternatively, the translate() function
+    moves the rectangle the given offset relative to the current
+    position, and the translated() function returns a translated copy
+    of this rectangle.
+
+    The size() function returns the rectange's dimensions as a
+    QSize. The dimensions can also be retrieved separately using the
+    width() and height() functions. To manipulate the dimensions use
+    the setSize(), setWidth() or setHeight() functions. Alternatively,
+    the size can be changed by applying either of the functions
+    setting the rectangle coordinates, for example, setBottom() or
+    setRight().
+
+    The contains() function tells whether a given point is inside the
+    rectangle or not, and the intersects() function returns true if
+    this rectangle intersects with a given rectangle. The QRect class
+    also provides the intersected() function which returns the
+    intersection rectangle, and the united() function which returns the
+    rectangle that encloses the given rectangle and this:
+
+    \table
+    \row
+    \o \inlineimage qrect-intersect.png
+    \o \inlineimage qrect-unite.png
+    \row
+    \o intersected()
+    \o united()
+    \endtable
+
+    The isEmpty() function returns true if left() > right() or top() >
+    bottom(). Note that an empty rectangle is not valid: The isValid()
+    function returns true if left() <= right() \e and top() <=
+    bottom(). A null rectangle (isNull() == true) on the other hand,
+    has both width and height set to 0.
+
+    Note that due to the way QRect and QRectF are defined, an
+    empty QRect is defined in essentially the same way as QRectF.
+
+    Finally, QRect objects can be streamed as well as compared.
+
+    \tableofcontents
+
+    \section1 Rendering
+
+    When using an \l {QPainter::Antialiasing}{anti-aliased} painter,
+    the boundary line of a QRect will be rendered symmetrically on
+    both sides of the mathematical rectangle's boundary line. But when
+    using an aliased painter (the default) other rules apply.
+
+    Then, when rendering with a one pixel wide pen the QRect's boundary
+    line will be rendered to the right and below the mathematical
+    rectangle's boundary line.
+
+    When rendering with a two pixels wide pen the boundary line will
+    be split in the middle by the mathematical rectangle. This will be
+    the case whenever the pen is set to an even number of pixels,
+    while rendering with a pen with an odd number of pixels, the spare
+    pixel will be rendered to the right and below the mathematical
+    rectangle as in the one pixel case.
+
+    \table
+    \row
+        \o \inlineimage qrect-diagram-zero.png
+        \o \inlineimage qrect-diagram-one.png
+    \row
+        \o Logical representation
+        \o One pixel wide pen
+    \row
+        \o \inlineimage qrect-diagram-two.png
+        \o \inlineimage qrect-diagram-three.png
+    \row
+        \o Two pixel wide pen
+        \o Three pixel wide pen
+    \endtable
+
+    \section1 Coordinates
+
+    The QRect class provides a collection of functions that return the
+    various rectangle coordinates, and enable manipulation of
+    these. QRect also provide functions to move the rectangle relative
+    to the various coordinates.
+
+    For example the left(), setLeft() and moveLeft() functions as an
+    example: left() returns the x-coordinate of the rectangle's left
+    edge, setLeft() sets the left edge of the rectangle to the given x
+    coordinate (it may change the width, but will never change the
+    rectangle's right edge) and moveLeft() moves the entire rectangle
+    horizontally, leaving the rectangle's left edge at the given x
+    coordinate and its size unchanged.
+
+    \image qrect-coordinates.png
+
+    Note that for historical reasons the values returned by the
+    bottom() and right() functions deviate from the true bottom-right
+    corner of the rectangle: The right() function returns \e { left()
+    + width() - 1} and the bottom() function returns \e {top() +
+    height() - 1}. The same is the case for the point returned by the
+    bottomRight() convenience function. In addition, the x and y
+    coordinate of the topRight() and bottomLeft() functions,
+    respectively, contain the same deviation from the true right and
+    bottom edges.
+
+    We recommend that you use x() + width() and y() + height() to find
+    the true bottom-right corner, and avoid right() and
+    bottom(). Another solution is to use QRectF: The QRectF class
+    defines a rectangle in the plane using floating point accuracy for
+    coordinates, and the QRectF::right() and QRectF::bottom()
+    functions \e do return the right and bottom coordinates.
+
+    It is also possible to add offsets to this rectangle's coordinates
+    using the adjust() function, as well as retrieve a new rectangle
+    based on adjustments of the original one using the adjusted()
+    function. If either of the width and height is negative, use the
+    normalized() function to retrieve a rectangle where the corners
+    are swapped.
+
+    In addition, QRect provides the getCoords() function which extracts
+    the position of the rectangle's top-left and bottom-right corner,
+    and the getRect() function which extracts the rectangle's top-left
+    corner, width and height. Use the setCoords() and setRect()
+    function to manipulate the rectangle's coordinates and dimensions
+    in one go.
+
+    \sa QRectF, QRegion
+*/
+
+/*****************************************************************************
+  QRect member functions
+ *****************************************************************************/
+
+/*!
+    \fn QRect::QRect()
+
+    Constructs a null rectangle.
+
+    \sa isNull()
+*/
+
+/*!
+    \fn QRect::QRect(const QPoint &topLeft, const QPoint &bottomRight)
+
+    Constructs a rectangle with the given \a topLeft and \a bottomRight corners.
+
+    \sa setTopLeft(), setBottomRight()
+*/
+
+
+/*!
+    \fn QRect::QRect(const QPoint &topLeft, const QSize &size)
+
+    Constructs a rectangle with the given \a topLeft corner and the
+    given \a size.
+
+    \sa setTopLeft(), setSize()
+*/
+
+
+/*!
+    \fn QRect::QRect(int x, int y, int width, int height)
+
+    Constructs a rectangle with (\a x, \a y) as its top-left corner
+    and the given \a width and \a height.
+
+    \sa setRect()
+*/
+
+
+/*!
+    \fn bool QRect::isNull() const
+
+    Returns true if the rectangle is a null rectangle, otherwise
+    returns false.
+
+    A null rectangle has both the width and the height set to 0 (i.e.,
+    right() == left() - 1 and bottom() == top() - 1). A null rectangle
+    is also empty, and hence is not valid.
+
+    \sa isEmpty(), isValid()
+*/
+
+/*!
+    \fn bool QRect::isEmpty() const
+
+    Returns true if the rectangle is empty, otherwise returns false.
+
+    An empty rectangle has a left() > right() or top() > bottom(). An
+    empty rectangle is not valid (i.e., isEmpty() == !isValid()).
+
+    Use the normalized() function to retrieve a rectangle where the
+    corners are swapped.
+
+    \sa isNull(), isValid(), normalized()
+*/
+
+/*!
+    \fn bool QRect::isValid() const
+
+    Returns true if the rectangle is valid, otherwise returns false.
+
+    A valid rectangle has a left() < right() and top() <
+    bottom(). Note that non-trivial operations like intersections are
+    not defined for invalid rectangles. A valid rectangle is not empty
+    (i.e., isValid() == !isEmpty()).
+
+    \sa isNull(), isEmpty(), normalized()
+*/
+
+
+/*!
+    Returns a normalized rectangle; i.e., a rectangle that has a
+    non-negative width and height.
+
+    If width() < 0 the function swaps the left and right corners, and
+    it swaps the top and bottom corners if height() < 0.
+
+    \sa isValid(), isEmpty()
+*/
+
+QRect QRect::normalized() const
+{
+    QRect r;
+    if (x2 < x1 - 1) {                                // swap bad x values
+        r.x1 = x2;
+        r.x2 = x1;
+    } else {
+        r.x1 = x1;
+        r.x2 = x2;
+    }
+    if (y2 < y1 - 1) {                                // swap bad y values
+        r.y1 = y2;
+        r.y2 = y1;
+    } else {
+        r.y1 = y1;
+        r.y2 = y2;
+    }
+    return r;
+}
+
+
+/*!
+    \fn QRect QRect::normalize() const
+    \compat
+
+    Returns a normalized rectangle; i.e., a rectangle that has a
+    non-negative width and height.
+
+    Use the normalized() function instead
+*/
+
+/*!
+    \fn int QRect::left() const
+
+    Returns the x-coordinate of the rectangle's left edge. Equivalent
+    to x().
+
+    \sa setLeft(),  topLeft(), bottomLeft()
+*/
+
+/*!
+    \fn int QRect::top() const
+
+    Returns the y-coordinate of the rectangle's top edge.
+    Equivalent to y().
+
+    \sa setTop(), topLeft(), topRight()
+*/
+
+/*!
+    \fn int QRect::right() const
+
+    Returns the x-coordinate of the rectangle's right edge.
+
+    Note that for historical reasons this function returns left() +
+    width() - 1; use x() + width() to retrieve the true x-coordinate.
+
+    \sa setRight(), topRight(), bottomRight()
+*/
+
+/*!
+    \fn int QRect::bottom() const
+
+    Returns the y-coordinate of the rectangle's bottom edge.
+
+    Note that for historical reasons this function returns top() +
+    height() - 1; use y() + height() to retrieve the true y-coordinate.
+
+    \sa setBottom(), bottomLeft(), bottomRight()
+*/
+
+/*!
+    \fn int &QRect::rLeft()
+    \compat
+
+    Returns a reference to the left coordinate of the rectangle.
+
+    Use the left() function instead.
+*/
+
+/*!
+    \fn int &QRect::rTop()
+    \compat
+
+    Returns a reference to the top coordinate of the rectangle.
+
+    Use the top() function instead.
+*/
+
+/*!
+    \fn int &QRect::rRight()
+    \compat
+
+    Returns a reference to the right coordinate of the rectangle.
+
+    Use the right() function instead.
+*/
+
+/*!
+    \fn int &QRect::rBottom()
+    \compat
+
+    Returns a reference to the bottom coordinate of the rectangle.
+
+    Use the bottom() function instead.
+*/
+
+/*!
+    \fn int QRect::x() const
+
+    Returns the x-coordinate of the rectangle's left edge. Equivalent to left().
+
+    \sa setX(), y(), topLeft()
+*/
+
+/*!
+    \fn int QRect::y() const
+
+    Returns the y-coordinate of the rectangle's top edge. Equivalent to top().
+
+    \sa setY(), x(), topLeft()
+*/
+
+/*!
+    \fn void QRect::setLeft(int x)
+
+    Sets the left edge of the rectangle to the given \a x
+    coordinate. May change the width, but will never change the right
+    edge of the rectangle.
+
+    Equivalent to setX().
+
+    \sa left(), moveLeft()
+*/
+
+/*!
+    \fn void QRect::setTop(int y)
+
+    Sets the top edge of the rectangle to the given \a y
+    coordinate. May change the height, but will never change the
+    bottom edge of the rectangle.
+
+    Equivalent to setY().
+
+    \sa top(), moveTop()
+*/
+
+/*!
+    \fn void QRect::setRight(int x)
+
+    Sets the right edge of the rectangle to the given \a x
+    coordinate. May change the width, but will never change the left
+    edge of the rectangle.
+
+    \sa right(), moveRight()
+*/
+
+/*!
+    \fn void QRect::setBottom(int y)
+
+    Sets the bottom edge of the rectangle to the given \a y
+    coordinate. May change the height, but will never change the top
+    edge of the rectangle.
+
+    \sa bottom(), moveBottom(),
+*/
+
+/*!
+    \fn void QRect::setX(int x)
+
+    Sets the left edge of the rectangle to the given \a x
+    coordinate. May change the width, but will never change the right
+    edge of the rectangle.
+
+    Equivalent to setLeft().
+
+    \sa x(), setY(), setTopLeft()
+*/
+
+/*!
+    \fn void QRect::setY(int y)
+
+    Sets the top edge of the rectangle to the given \a y
+    coordinate. May change the height, but will never change the
+    bottom edge of the rectangle.
+
+    Equivalent to setTop().
+
+    \sa y(), setX(), setTopLeft()
+*/
+
+/*!
+    \fn void QRect::setTopLeft(const QPoint &position)
+
+    Set the top-left corner of the rectangle to the given \a
+    position. May change the size, but will never change the
+    bottom-right corner of the rectangle.
+
+    \sa topLeft(), moveTopLeft()
+*/
+
+/*!
+    \fn void QRect::setBottomRight(const QPoint &position)
+
+    Set the bottom-right corner of the rectangle to the given \a
+    position. May change the size, but will never change the
+    top-left corner of the rectangle.
+
+    \sa bottomRight(), moveBottomRight()
+*/
+
+/*!
+    \fn void QRect::setTopRight(const QPoint &position)
+
+    Set the top-right corner of the rectangle to the given \a
+    position. May change the size, but will never change the
+    bottom-left corner of the rectangle.
+
+    \sa topRight(), moveTopRight()
+*/
+
+/*!
+    \fn void QRect::setBottomLeft(const QPoint &position)
+
+    Set the bottom-left corner of the rectangle to the given \a
+    position. May change the size, but will never change the
+    top-right corner of the rectangle.
+
+    \sa bottomLeft(), moveBottomLeft()
+*/
+
+/*!
+    \fn QPoint QRect::topLeft() const
+
+    Returns the position of the rectangle's top-left corner.
+
+    \sa setTopLeft(), top(), left()
+*/
+
+/*!
+    \fn QPoint QRect::bottomRight() const
+
+    Returns the position of the rectangle's bottom-right corner.
+
+    Note that for historical reasons this function returns
+    QPoint(left() + width() -1, top() + height() - 1).
+
+    \sa setBottomRight(), bottom(), right()
+*/
+
+/*!
+    \fn QPoint QRect::topRight() const
+
+    Returns the position of the rectangle's top-right corner.
+
+    Note that for historical reasons this function returns
+    QPoint(left() + width() -1, top()).
+
+    \sa setTopRight(), top(), right()
+*/
+
+/*!
+    \fn QPoint QRect::bottomLeft() const
+
+    Returns the position of the rectangle's bottom-left corner. Note
+    that for historical reasons this function returns QPoint(left(),
+    top() + height() - 1).
+
+    \sa setBottomLeft(), bottom(), left()
+*/
+
+/*!
+    \fn QPoint QRect::center() const
+
+    Returns the center point of the rectangle.
+
+    \sa moveCenter()
+*/
+
+
+/*!
+    \fn void QRect::getRect(int *x, int *y, int *width, int *height) const
+
+    Extracts the position of the rectangle's top-left corner to *\a x
+    and *\a y, and its dimensions to *\a width and *\a height.
+
+    \sa setRect(), getCoords()
+*/
+
+
+/*!
+    \fn void QRect::getCoords(int *x1, int *y1, int *x2, int *y2) const
+
+    Extracts the position of the rectangle's top-left corner to *\a x1
+    and *\a y1, and the position of the bottom-right corner to *\a x2
+    and *\a y2.
+
+    \sa setCoords(), getRect()
+*/
+
+/*!
+    \fn void QRect::rect(int *x, int *y, int *width, int *height) const
+    \compat
+
+    Extracts the position of the rectangle's top-left corner to *\a x and
+    *\a y, and its dimensions to *\a width and * \a height.
+
+    Use the getRect() function instead.
+*/
+
+
+/*!
+    \fn void QRect::coords(int *x1, int *y1, int *x2, int *y2) const
+    \compat
+
+    Extracts the position of the rectangle's top-left corner to *\a x1
+    and *\a y1, and the position of the bottom-right corner to *\a x2
+    and *\a y2.
+
+    Use the getCoords() function instead.
+*/
+
+/*!
+    \fn void QRect::moveLeft(int x)
+
+    Moves the rectangle horizontally, leaving the rectangle's left
+    edge at the given \a x coordinate. The rectangle's size is
+    unchanged.
+
+    \sa left(), setLeft(), moveRight()
+*/
+
+/*!
+    \fn void QRect::moveTop(int y)
+
+    Moves the rectangle vertically, leaving the rectangle's top edge
+    at the given \a y coordinate. The rectangle's size is unchanged.
+
+    \sa top(), setTop(), moveBottom()
+*/
+
+
+/*!
+    \fn void QRect::moveRight(int x)
+
+    Moves the rectangle horizontally, leaving the rectangle's right
+    edge at the given \a x coordinate. The rectangle's size is
+    unchanged.
+
+    \sa right(), setRight(), moveLeft()
+*/
+
+
+/*!
+    \fn void QRect::moveBottom(int y)
+
+    Moves the rectangle vertically, leaving the rectangle's bottom
+    edge at the given \a y coordinate. The rectangle's size is
+    unchanged.
+
+    \sa bottom(), setBottom(), moveTop()
+*/
+
+
+/*!
+    \fn void QRect::moveTopLeft(const QPoint &position)
+
+    Moves the rectangle, leaving the top-left corner at the given \a
+    position. The rectangle's size is unchanged.
+
+    \sa setTopLeft(), moveTop(), moveLeft()
+*/
+
+
+/*!
+    \fn void QRect::moveBottomRight(const QPoint &position)
+
+    Moves the rectangle, leaving the bottom-right corner at the given
+    \a position. The rectangle's size is unchanged.
+
+    \sa setBottomRight(), moveRight(), moveBottom()
+*/
+
+
+/*!
+    \fn void QRect::moveTopRight(const QPoint &position)
+
+    Moves the rectangle, leaving the top-right corner at the given \a
+    position. The rectangle's size is unchanged.
+
+    \sa setTopRight(), moveTop(), moveRight()
+*/
+
+
+/*!
+    \fn void QRect::moveBottomLeft(const QPoint &position)
+
+    Moves the rectangle, leaving the bottom-left corner at the given
+    \a position. The rectangle's size is unchanged.
+
+    \sa setBottomLeft(), moveBottom(), moveLeft()
+*/
+
+
+/*!
+    \fn void QRect::moveCenter(const QPoint &position)
+
+    Moves the rectangle, leaving the center point at the given \a
+    position. The rectangle's size is unchanged.
+
+    \sa center()
+*/
+
+void QRect::moveCenter(const QPoint &p)
+{
+    int w = x2 - x1;
+    int h = y2 - y1;
+    x1 = p.x() - w/2;
+    y1 = p.y() - h/2;
+    x2 = x1 + w;
+    y2 = y1 + h;
+}
+
+/*!
+    \fn void QRect::moveBy(int dx, int dy)
+    \compat
+
+    Moves the rectangle \a dx along the x axis and \a dy along the y
+    axis, relative to the current position.
+
+    Use the translate() function instead.
+*/
+
+/*!
+    \fn void QRect::moveBy(const QPoint &)
+    \compat
+
+    Use the translate() function instead.
+*/
+
+/*!
+    \fn void QRect::moveTo(int x, int y)
+
+    Moves the rectangle, leaving the top-left corner at the given
+    position (\a x, \a y).  The rectangle's size is unchanged.
+
+    \sa translate(), moveTopLeft()
+*/
+
+/*!
+    \fn void QRect::moveTo(const QPoint &position)
+
+    Moves the rectangle, leaving the top-left corner at the given \a
+    position.
+*/
+
+/*!
+    \fn void QRect::translate(int dx, int dy)
+
+    Moves the rectangle \a dx along the x axis and \a dy along the y
+    axis, relative to the current position. Positive values move the
+    rectangle to the right and down.
+
+    \sa moveTopLeft(), moveTo(), translated()
+*/
+
+
+/*!
+    \fn void QRect::translate(const QPoint &offset)
+    \overload
+
+    Moves the rectangle \a{offset}.\l{QPoint::x()}{x()} along the x
+    axis and \a{offset}.\l{QPoint::y()}{y()} along the y axis,
+    relative to the current position.
+*/
+
+
+/*!
+    \fn QRect QRect::translated(int dx, int dy) const
+
+    Returns a copy of the rectangle that is translated \a dx along the
+    x axis and \a dy along the y axis, relative to the current
+    position. Positive values move the rectangle to the right and
+    down.
+
+    \sa translate()
+
+*/
+
+
+/*!
+    \fn QRect QRect::translated(const QPoint &offset) const
+
+    \overload
+
+    Returns a copy of the rectangle that is translated
+    \a{offset}.\l{QPoint::x()}{x()} along the x axis and
+    \a{offset}.\l{QPoint::y()}{y()} along the y axis, relative to the
+    current position.
+*/
+
+
+/*!
+    \fn void QRect::setRect(int x, int y, int width, int height)
+
+    Sets the coordinates of the rectangle's top-left corner to (\a{x},
+    \a{y}), and its size to the given \a width and \a height.
+
+    \sa getRect(), setCoords()
+*/
+
+
+/*!
+    \fn void QRect::setCoords(int x1, int y1, int x2, int y2)
+
+    Sets the coordinates of the rectangle's top-left corner to (\a x1,
+    \a y1), and the coordinates of its bottom-right corner to (\a x2,
+    \a y2).
+
+    \sa getCoords(), setRect()
+*/
+
+
+/*!
+    \fn void QRect::addCoords(int dx1, int dy1, int dx2, int dy2)
+    \compat
+
+    Adds \a dx1, \a dy1, \a dx2 and \a dy2 to the existing coordinates
+    of the rectangle respectively.
+
+    Use the adjust() function instead.
+*/
+
+/*! \fn QRect QRect::adjusted(int dx1, int dy1, int dx2, int dy2) const
+
+    Returns a new rectangle with \a dx1, \a dy1, \a dx2 and \a dy2
+    added respectively to the existing coordinates of this rectangle.
+
+    \sa adjust()
+*/
+
+/*! \fn void QRect::adjust(int dx1, int dy1, int dx2, int dy2)
+
+    Adds \a dx1, \a dy1, \a dx2 and \a dy2 respectively to the
+    existing coordinates of the rectangle.
+
+    \sa adjusted(), setRect()
+*/
+
+/*!
+    \fn QSize QRect::size() const
+
+    Returns the size of the rectangle.
+
+    \sa setSize(), width(), height()
+*/
+
+/*!
+    \fn int QRect::width() const
+
+    Returns the width of the rectangle.
+
+    \sa setWidth(), height(),  size()
+*/
+
+/*!
+    \fn int QRect::height() const
+
+    Returns the height of the rectangle.
+
+    \sa setHeight(), width(), size()
+*/
+
+/*!
+    \fn void QRect::setWidth(int width)
+
+    Sets the width of the rectangle to the given \a width. The right
+    edge is changed, but not the left one.
+
+    \sa width(), setSize()
+*/
+
+
+/*!
+    \fn void QRect::setHeight(int height)
+
+    Sets the height of the rectangle to the given \a height. The bottom
+    edge is changed, but not the top one.
+
+    \sa height(), setSize()
+*/
+
+
+/*!
+    \fn void QRect::setSize(const QSize &size)
+
+    Sets the size of the rectangle to the given \a size. The top-left
+    corner is not moved.
+
+    \sa size(), setWidth(), setHeight()
+*/
+
+
+/*!
+    \fn bool QRect::contains(const QPoint &point, bool proper) const
+
+    Returns true if the the given \a point is inside or on the edge of
+    the rectangle, otherwise returns false. If \a proper is true, this
+    function only returns true if the given \a point is \e inside the
+    rectangle (i.e., not on the edge).
+
+    \sa intersects()
+*/
+
+bool QRect::contains(const QPoint &p, bool proper) const
+{
+    int l, r;
+    if (x2 < x1 - 1) {
+        l = x2;
+        r = x1;
+    } else {
+        l = x1;
+        r = x2;
+    }
+    if (proper) {
+        if (p.x() <= l || p.x() >= r)
+            return false;
+    } else {
+        if (p.x() < l || p.x() > r)
+            return false;
+    }
+    int t, b;
+    if (y2 < y1 - 1) {
+        t = y2;
+        b = y1;
+    } else {
+        t = y1;
+        b = y2;
+    }
+    if (proper) {
+        if (p.y() <= t || p.y() >= b)
+            return false;
+    } else {
+        if (p.y() < t || p.y() > b)
+            return false;
+    }
+    return true;
+}
+
+
+/*!
+    \fn bool QRect::contains(int x, int y, bool proper) const
+    \overload
+
+    Returns true if the point (\a x, \a y) is inside or on the edge of
+    the rectangle, otherwise returns false. If \a proper is true, this
+    function only returns true if the point is entirely inside the
+    rectangle(not on the edge).
+*/
+
+/*!
+    \fn bool QRect::contains(int x, int y) const
+    \overload
+
+    Returns true if the point (\a x, \a y) is inside this rectangle,
+    otherwise returns false.
+*/
+
+/*!
+    \fn bool QRect::contains(const QRect &rectangle, bool proper) const
+    \overload
+
+    Returns true if the given \a rectangle is inside this rectangle.
+    otherwise returns false. If \a proper is true, this function only
+    returns true if the \a rectangle is entirely inside this
+    rectangle (not on the edge).
+*/
+
+bool QRect::contains(const QRect &r, bool proper) const
+{
+    if (isNull() || r.isNull())
+        return false;
+
+    int l1 = x1;
+    int r1 = x1;
+    if (x2 - x1 + 1 < 0)
+        l1 = x2;
+    else
+        r1 = x2;
+
+    int l2 = r.x1;
+    int r2 = r.x1;
+    if (r.x2 - r.x1 + 1 < 0)
+        l2 = r.x2;
+    else
+        r2 = r.x2;
+
+    if (proper) {
+        if (l2 <= l1 || r2 >= r1)
+            return false;
+    } else {
+        if (l2 < l1 || r2 > r1)
+            return false;
+    }
+
+    int t1 = y1;
+    int b1 = y1;
+    if (y2 - y1 + 1 < 0)
+        t1 = y2;
+    else
+        b1 = y2;
+
+    int t2 = r.y1;
+    int b2 = r.y1;
+    if (r.y2 - r.y1 + 1 < 0)
+        t2 = r.y2;
+    else
+        b2 = r.y2;
+
+    if (proper) {
+        if (t2 <= t1 || b2 >= b1)
+            return false;
+    } else {
+        if (t2 < t1 || b2 > b1)
+            return false;
+    }
+
+    return true;
+}
+
+/*!
+    \fn QRect& QRect::operator|=(const QRect &rectangle)
+
+    Unites this rectangle with the given \a rectangle.
+
+    \sa united(), operator|()
+*/
+
+/*!
+    \fn QRect& QRect::operator&=(const QRect &rectangle)
+
+    Intersects this rectangle with the given \a rectangle.
+
+    \sa intersected(), operator&()
+*/
+
+
+/*!
+    \fn QRect QRect::operator|(const QRect &rectangle) const
+
+    Returns the bounding rectangle of this rectangle and the given \a
+    rectangle.
+
+    \sa operator|=(), united()
+*/
+
+QRect QRect::operator|(const QRect &r) const
+{
+    if (isNull())
+        return r;
+    if (r.isNull())
+        return *this;
+
+    int l1 = x1;
+    int r1 = x1;
+    if (x2 - x1 + 1 < 0)
+        l1 = x2;
+    else
+        r1 = x2;
+
+    int l2 = r.x1;
+    int r2 = r.x1;
+    if (r.x2 - r.x1 + 1 < 0)
+        l2 = r.x2;
+    else
+        r2 = r.x2;
+
+    int t1 = y1;
+    int b1 = y1;
+    if (y2 - y1 + 1 < 0)
+        t1 = y2;
+    else
+        b1 = y2;
+
+    int t2 = r.y1;
+    int b2 = r.y1;
+    if (r.y2 - r.y1 + 1 < 0)
+        t2 = r.y2;
+    else
+        b2 = r.y2;
+
+    QRect tmp;
+    tmp.x1 = qMin(l1, l2);
+    tmp.x2 = qMax(r1, r2);
+    tmp.y1 = qMin(t1, t2);
+    tmp.y2 = qMax(b1, b2);
+    return tmp;
+}
+
+/*!
+    \fn QRect QRect::unite(const QRect &rectangle) const
+    \obsolete
+
+    Use united(\a rectangle) instead.
+*/
+
+/*!
+    \fn QRect QRect::united(const QRect &rectangle) const
+    \since 4.2
+
+    Returns the bounding rectangle of this rectangle and the given \a rectangle.
+
+    \image qrect-unite.png
+
+    \sa intersected()
+*/
+
+
+/*!
+    \fn QRect QRect::operator&(const QRect &rectangle) const
+
+    Returns the intersection of this rectangle and the given \a
+    rectangle. Returns an empty rectangle if there is no intersection.
+
+    \sa operator&=(), intersected()
+*/
+
+QRect QRect::operator&(const QRect &r) const
+{
+    if (isNull() || r.isNull())
+        return QRect();
+
+    int l1 = x1;
+    int r1 = x1;
+    if (x2 - x1 + 1 < 0)
+        l1 = x2;
+    else
+        r1 = x2;
+
+    int l2 = r.x1;
+    int r2 = r.x1;
+    if (r.x2 - r.x1 + 1 < 0)
+        l2 = r.x2;
+    else
+        r2 = r.x2;
+
+    if (l1 > r2 || l2 > r1)
+        return QRect();
+
+    int t1 = y1;
+    int b1 = y1;
+    if (y2 - y1 + 1 < 0)
+        t1 = y2;
+    else
+        b1 = y2;
+
+    int t2 = r.y1;
+    int b2 = r.y1;
+    if (r.y2 - r.y1 + 1 < 0)
+        t2 = r.y2;
+    else
+        b2 = r.y2;
+
+    if (t1 > b2 || t2 > b1)
+        return QRect();
+
+    QRect tmp;
+    tmp.x1 = qMax(l1, l2);
+    tmp.x2 = qMin(r1, r2);
+    tmp.y1 = qMax(t1, t2);
+    tmp.y2 = qMin(b1, b2);
+    return tmp;
+}
+
+/*!
+    \fn QRect QRect::intersect(const QRect &rectangle) const
+    \obsolete
+
+    Use intersected(\a rectangle) instead.
+*/
+
+/*!
+    \fn QRect QRect::intersected(const QRect &rectangle) const
+    \since 4.2
+
+    Returns the intersection of this rectangle and the given \a
+    rectangle. Note that \c{r.intersected(s)} is equivalent to \c{r & s}.
+
+    \image qrect-intersect.png
+
+    \sa intersects(), united(), operator&=()
+*/
+
+/*!
+    \fn bool QRect::intersects(const QRect &rectangle) const
+
+    Returns true if this rectangle intersects with the given \a
+    rectangle (i.e., there is at least one pixel that is within both
+    rectangles), otherwise returns false.
+
+    The intersection rectangle can be retrieved using the intersected()
+    function.
+
+    \sa  contains()
+*/
+
+bool QRect::intersects(const QRect &r) const
+{
+    if (isNull() || r.isNull())
+        return false;
+
+    int l1 = x1;
+    int r1 = x1;
+    if (x2 - x1 + 1 < 0)
+        l1 = x2;
+    else
+        r1 = x2;
+
+    int l2 = r.x1;
+    int r2 = r.x1;
+    if (r.x2 - r.x1 + 1 < 0)
+        l2 = r.x2;
+    else
+        r2 = r.x2;
+
+    if (l1 > r2 || l2 > r1)
+        return false;
+
+    int t1 = y1;
+    int b1 = y1;
+    if (y2 - y1 + 1 < 0)
+        t1 = y2;
+    else
+        b1 = y2;
+
+    int t2 = r.y1;
+    int b2 = r.y1;
+    if (r.y2 - r.y1 + 1 < 0)
+        t2 = r.y2;
+    else
+        b2 = r.y2;
+
+    if (t1 > b2 || t2 > b1)
+        return false;
+
+    return true;
+}
+
+/*!
+    \fn bool operator==(const QRect &r1, const QRect &r2)
+    \relates QRect
+
+    Returns true if the rectangles \a r1 and \a r2 are equal,
+    otherwise returns false.
+*/
+
+
+/*!
+    \fn bool operator!=(const QRect &r1, const QRect &r2)
+    \relates QRect
+
+    Returns true if the rectangles \a r1 and \a r2 are different, otherwise
+    returns false.
+*/
+
+
+/*****************************************************************************
+  QRect stream functions
+ *****************************************************************************/
+#ifndef QT_NO_DATASTREAM
+/*!
+    \fn QDataStream &operator<<(QDataStream &stream, const QRect &rectangle)
+    \relates QRect
+
+    Writes the given \a rectangle to the given \a stream, and returns
+    a reference to the stream.
+
+    \sa {Format of the QDataStream Operators}
+*/
+
+QDataStream &operator<<(QDataStream &s, const QRect &r)
+{
+    if (s.version() == 1)
+        s << (qint16)r.left() << (qint16)r.top()
+          << (qint16)r.right() << (qint16)r.bottom();
+    else
+        s << (qint32)r.left() << (qint32)r.top()
+          << (qint32)r.right() << (qint32)r.bottom();
+    return s;
+}
+
+/*!
+    \fn QDataStream &operator>>(QDataStream &stream, QRect &rectangle)
+    \relates QRect
+
+    Reads a rectangle from the given \a stream into the given \a
+    rectangle, and returns a reference to the stream.
+
+    \sa {Format of the QDataStream Operators}
+*/
+
+QDataStream &operator>>(QDataStream &s, QRect &r)
+{
+    if (s.version() == 1) {
+        qint16 x1, y1, x2, y2;
+        s >> x1; s >> y1; s >> x2; s >> y2;
+        r.setCoords(x1, y1, x2, y2);
+    }
+    else {
+        qint32 x1, y1, x2, y2;
+        s >> x1; s >> y1; s >> x2; s >> y2;
+        r.setCoords(x1, y1, x2, y2);
+    }
+    return s;
+}
+
+#endif // QT_NO_DATASTREAM
+
+
+#ifndef QT_NO_DEBUG_STREAM
+QDebug operator<<(QDebug dbg, const QRect &r) {
+    dbg.nospace() << "QRect(" << r.x() << ',' << r.y() << ' '
+                  << r.width() << 'x' << r.height() << ')';
+    return dbg.space();
+}
+#endif
+
+/*!
+    \class QRectF
+    \ingroup multimedia
+
+    \brief The QRectF class defines a rectangle in the plane using floating
+    point precision.
+
+    A rectangle is normally expressed as an upper-left corner and a
+    size.  The size (width and height) of a QRectF is always equivalent
+    to the mathematical rectangle that forms the basis for its
+    rendering.
+
+    A QRectF can be constructed with a set of left, top, width and
+    height integers, or from a QPoint and a QSize.  The following code
+    creates two identical rectangles.
+
+    \snippet doc/src/snippets/code/src_corelib_tools_qrect.cpp 1
+
+    There is also a third constructor creating a QRectF from a QRect,
+    and a corresponding toRect() function that returns a QRect object
+    based on the values of this rectangle (note that the coordinates
+    in the returned rectangle are rounded to the nearest integer).
+
+    The QRectF class provides a collection of functions that return
+    the various rectangle coordinates, and enable manipulation of
+    these. QRectF also provide functions to move the rectangle
+    relative to the various coordinates. In addition there is a
+    moveTo() function that moves the rectangle, leaving its top left
+    corner at the given coordinates. Alternatively, the translate()
+    function moves the rectangle the given offset relative to the
+    current position, and the translated() function returns a
+    translated copy of this rectangle.
+
+    The size() function returns the rectange's dimensions as a
+    QSize. The dimensions can also be retrieved separately using the
+    width() and height() functions. To manipulate the dimensions use
+    the setSize(), setWidth() or setHeight() functions. Alternatively,
+    the size can be changed by applying either of the functions
+    setting the rectangle coordinates, for example, setBottom() or
+    setRight().
+
+    The contains() function tells whether a given point is inside the
+    rectangle or not, and the intersects() function returns true if
+    this rectangle intersects with a given rectangle (otherwise
+    false). The QRectF class also provides the intersected() function
+    which returns the intersection rectangle, and the united() function
+    which returns the rectangle that encloses the given rectangle and
+    this:
+
+    \table
+    \row
+    \o \inlineimage qrect-intersect.png
+    \o \inlineimage qrect-unite.png
+    \row
+    \o intersected()
+    \o united()
+    \endtable
+
+    The isEmpty() function returns true if the rectangle's width or
+    height is less than, or equal to, 0. Note that an empty rectangle
+    is not valid: The isValid() function returns true if both width
+    and height is larger than 0. A null rectangle (isNull() == true)
+    on the other hand, has both width and height set to 0.
+
+    Note that due to the way QRect and QRectF are defined, an
+    empty QRectF is defined in essentially the same way as QRect.
+
+    Finally, QRectF objects can be streamed as well as compared.
+
+    \tableofcontents
+
+    \section1 Rendering
+
+    When using an \l {QPainter::Antialiasing}{anti-aliased} painter,
+    the boundary line of a QRectF will be rendered symmetrically on both
+    sides of the mathematical rectangle's boundary line. But when
+    using an aliased painter (the default) other rules apply.
+
+    Then, when rendering with a one pixel wide pen the QRectF's boundary
+    line will be rendered to the right and below the mathematical
+    rectangle's boundary line.
+
+    When rendering with a two pixels wide pen the boundary line will
+    be split in the middle by the mathematical rectangle. This will be
+    the case whenever the pen is set to an even number of pixels,
+    while rendering with a pen with an odd number of pixels, the spare
+    pixel will be rendered to the right and below the mathematical
+    rectangle as in the one pixel case.
+
+    \table
+    \row
+        \o \inlineimage qrect-diagram-zero.png
+        \o \inlineimage qrectf-diagram-one.png
+    \row
+        \o Logical representation
+        \o One pixel wide pen
+    \row
+        \o \inlineimage qrectf-diagram-two.png
+        \o \inlineimage qrectf-diagram-three.png
+    \row
+        \o Two pixel wide pen
+        \o Three pixel wide pen
+    \endtable
+
+    \section1 Coordinates
+
+    The QRectF class provides a collection of functions that return
+    the various rectangle coordinates, and enable manipulation of
+    these. QRectF also provide functions to move the rectangle
+    relative to the various coordinates.
+
+    For example: the bottom(), setBottom() and moveBottom() functions:
+    bottom() returns the y-coordinate of the rectangle's bottom edge,
+    setBottom() sets the bottom edge of the rectangle to the given y
+    coordinate (it may change the height, but will never change the
+    rectangle's top edge) and moveBottom() moves the entire rectangle
+    vertically, leaving the rectangle's bottom edge at the given y
+    coordinate and its size unchanged.
+
+    \image qrectf-coordinates.png
+
+    It is also possible to add offsets to this rectangle's coordinates
+    using the adjust() function, as well as retrieve a new rectangle
+    based on adjustments of the original one using the adjusted()
+    function. If either of the width and height is negative, use the
+    normalized() function to retrieve a rectangle where the corners
+    are swapped.
+
+    In addition, QRectF provides the getCoords() function which extracts
+    the position of the rectangle's top-left and bottom-right corner,
+    and the getRect() function which extracts the rectangle's top-left
+    corner, width and height. Use the setCoords() and setRect()
+    function to manipulate the rectangle's coordinates and dimensions
+    in one go.
+
+    \sa QRect, QRegion
+*/
+
+/*****************************************************************************
+  QRectF member functions
+ *****************************************************************************/
+
+/*!
+    \fn QRectF::QRectF()
+
+    Constructs a null rectangle.
+
+    \sa isNull()
+*/
+
+/*!
+    \fn QRectF::QRectF(const QPointF &topLeft, const QSizeF &size)
+
+    Constructs a rectangle with the given \a topLeft corner and the given \a size.
+
+    \sa setTopLeft(), setSize()
+*/
+
+/*!
+    \fn QRectF::QRectF(const QPointF &topLeft, const QPointF &bottomRight)
+    \since 4.3
+
+    Constructs a rectangle with the given \a topLeft and \a bottomRight corners.
+
+    \sa setTopLeft(), setBottomRight()
+*/
+
+/*!
+    \fn QRectF::QRectF(qreal x, qreal y, qreal width, qreal height)
+
+    Constructs a rectangle with (\a x, \a y) as its top-left corner
+    and the given \a width and \a height.
+
+    \sa setRect()
+*/
+
+/*!
+    \fn QRectF::QRectF(const QRect &rectangle)
+
+    Constructs a QRectF rectangle from the given QRect \a rectangle.
+
+    \sa toRect()
+*/
+
+/*!
+    \fn bool QRectF::isNull() const
+
+    Returns true if the rectangle is a null rectangle, otherwise returns false.
+
+    A null rectangle has both the width and the height set to 0. A
+    null rectangle is also empty, and hence not valid.
+
+    \sa isEmpty(), isValid()
+*/
+
+/*!
+    \fn bool QRectF::isEmpty() const
+
+    Returns true if the rectangle is empty, otherwise returns false.
+
+    An empty rectangle has width() <= 0 or height() <= 0.  An empty
+    rectangle is not valid (i.e., isEmpty() == !isValid()).
+
+    Use the normalized() function to retrieve a rectangle where the
+    corners are swapped.
+
+    \sa isNull(),  isValid(),  normalized()
+*/
+
+/*!
+    \fn bool QRectF::isValid() const
+
+    Returns true if the rectangle is valid, otherwise returns false.
+
+    A valid rectangle has a width() > 0 and height() > 0. Note that
+    non-trivial operations like intersections are not defined for
+    invalid rectangles. A valid rectangle is not empty (i.e., isValid()
+    == !isEmpty()).
+
+    \sa isNull(), isEmpty(), normalized()
+*/
+
+
+/*!
+    Returns a normalized rectangle; i.e., a rectangle that has a
+    non-negative width and height.
+
+    If width() < 0 the function swaps the left and right corners, and
+    it swaps the top and bottom corners if height() < 0.
+
+    \sa isValid(), isEmpty()
+*/
+
+QRectF QRectF::normalized() const
+{
+    QRectF r = *this;
+    if (r.w < 0) {
+        r.xp += r.w;
+        r.w = -r.w;
+    }
+    if (r.h < 0) {
+        r.yp += r.h;
+        r.h = -r.h;
+    }
+    return r;
+}
+
+/*!
+    \fn qreal QRectF::x() const
+
+    Returns the x-coordinate of the rectangle's left edge. Equivalent
+    to left().
+
+
+    \sa setX(), y(), topLeft()
+*/
+
+/*!
+    \fn qreal QRectF::y() const
+
+    Returns the y-coordinate of the rectangle's top edge. Equivalent
+    to top().
+
+    \sa setY(), x(),  topLeft()
+*/
+
+
+/*!
+    \fn void QRectF::setLeft(qreal x)
+
+    Sets the left edge of the rectangle to the given \a x
+    coordinate. May change the width, but will never change the right
+    edge of the rectangle.
+
+    Equivalent to setX().
+
+    \sa left(), moveLeft()
+*/
+
+/*!
+    \fn void QRectF::setTop(qreal y)
+
+    Sets the top edge of the rectangle to the given \a y coordinate. May
+    change the height, but will never change the bottom edge of the
+    rectangle.
+
+    Equivalent to setY().
+
+    \sa top(), moveTop()
+*/
+
+/*!
+    \fn void QRectF::setRight(qreal x)
+
+    Sets the right edge of the rectangle to the given \a x
+    coordinate. May change the width, but will never change the left
+    edge of the rectangle.
+
+    \sa right(), moveRight()
+*/
+
+/*!
+    \fn void QRectF::setBottom(qreal y)
+
+    Sets the bottom edge of the rectangle to the given \a y
+    coordinate. May change the height, but will never change the top
+    edge of the rectangle.
+
+    \sa bottom(), moveBottom()
+*/
+
+/*!
+    \fn void QRectF::setX(qreal x)
+
+    Sets the left edge of the rectangle to the given \a x
+    coordinate. May change the width, but will never change the right
+    edge of the rectangle.
+
+    Equivalent to setLeft().
+
+    \sa x(), setY(), setTopLeft()
+*/
+
+/*!
+    \fn void QRectF::setY(qreal y)
+
+    Sets the top edge of the rectangle to the given \a y
+    coordinate. May change the height, but will never change the
+    bottom edge of the rectangle.
+
+    Equivalent to setTop().
+
+    \sa y(), setX(), setTopLeft()
+*/
+
+/*!
+    \fn void QRectF::setTopLeft(const QPointF &position)
+
+    Set the top-left corner of the rectangle to the given \a
+    position. May change the size, but will never change the
+    bottom-right corner of the rectangle.
+
+    \sa topLeft(), moveTopLeft()
+*/
+
+/*!
+    \fn void QRectF::setBottomRight(const QPointF &position)
+
+    Set the bottom-right corner of the rectangle to the given \a
+    position. May change the size, but will never change the
+    top-left corner of the rectangle.
+
+    \sa bottomRight(), moveBottomRight()
+*/
+
+/*!
+    \fn void QRectF::setTopRight(const QPointF &position)
+
+    Set the top-right corner of the rectangle to the given \a
+    position. May change the size, but will never change the
+    bottom-left corner of the rectangle.
+
+    \sa topRight(), moveTopRight()
+*/
+
+/*!
+    \fn void QRectF::setBottomLeft(const QPointF &position)
+
+    Set the bottom-left corner of the rectangle to the given \a
+    position. May change the size, but will never change the
+    top-right corner of the rectangle.
+
+    \sa bottomLeft(), moveBottomLeft()
+*/
+
+/*!
+    \fn QPointF QRectF::center() const
+
+    Returns the center point of the rectangle.
+
+    \sa moveCenter()
+*/
+
+
+/*!
+    \fn void QRectF::getRect(qreal *x, qreal *y, qreal *width, qreal *height) const
+
+    Extracts the position of the rectangle's top-left corner to *\a x and
+    *\a y, and its dimensions to *\a width and *\a height.
+
+    \sa setRect(), getCoords()
+*/
+
+
+/*!
+    \fn void QRectF::getCoords(qreal *x1, qreal *y1, qreal *x2, qreal *y2) const
+
+    Extracts the position of the rectangle's top-left corner to *\a x1
+    and *\a y1, and the position of the bottom-right corner to *\a x2 and
+    *\a y2.
+
+    \sa setCoords(), getRect()
+*/
+
+/*!
+    \fn void QRectF::moveLeft(qreal x)
+
+    Moves the rectangle horizontally, leaving the rectangle's left
+    edge at the given \a x coordinate. The rectangle's size is
+    unchanged.
+
+    \sa left(), setLeft(), moveRight()
+*/
+
+/*!
+    \fn void QRectF::moveTop(qreal y)
+
+    Moves the rectangle vertically, leaving the rectangle's top line
+    at the given \a y coordinate. The rectangle's size is unchanged.
+
+    \sa top(), setTop(), moveBottom()
+*/
+
+
+/*!
+    \fn void QRectF::moveRight(qreal x)
+
+    Moves the rectangle horizontally, leaving the rectangle's right
+    edge at the given \a x coordinate. The rectangle's size is
+    unchanged.
+
+    \sa right(), setRight(), moveLeft()
+*/
+
+
+/*!
+    \fn void QRectF::moveBottom(qreal y)
+
+    Moves the rectangle vertically, leaving the rectangle's bottom
+    edge at the given \a y coordinate. The rectangle's size is
+    unchanged.
+
+    \sa bottom(), setBottom(), moveTop()
+*/
+
+
+/*!
+    \fn void QRectF::moveTopLeft(const QPointF &position)
+
+    Moves the rectangle, leaving the top-left corner at the given \a
+    position. The rectangle's size is unchanged.
+
+    \sa setTopLeft(), moveTop(), moveLeft()
+*/
+
+
+/*!
+    \fn void QRectF::moveBottomRight(const QPointF &position)
+
+    Moves the rectangle, leaving the bottom-right corner at the given
+    \a position. The rectangle's size is unchanged.
+
+    \sa setBottomRight(), moveBottom(), moveRight()
+*/
+
+
+/*!
+    \fn void QRectF::moveTopRight(const QPointF &position)
+
+    Moves the rectangle, leaving the top-right corner at the given
+    \a position. The rectangle's size is unchanged.
+
+    \sa setTopRight(), moveTop(), moveRight()
+*/
+
+
+/*!
+    \fn void QRectF::moveBottomLeft(const QPointF &position)
+
+    Moves the rectangle, leaving the bottom-left corner at the given
+    \a position. The rectangle's size is unchanged.
+
+    \sa setBottomLeft(), moveBottom(), moveLeft()
+*/
+
+
+/*!
+    \fn void QRectF::moveTo(qreal x, qreal y)
+
+    Moves the rectangle, leaving the top-left corner at the given
+    position (\a x, \a y). The rectangle's size is unchanged.
+
+    \sa translate(), moveTopLeft()
+*/
+
+/*!
+    \fn void QRectF::moveTo(const QPointF &position)
+    \overload
+
+    Moves the rectangle, leaving the top-left corner at the given \a
+    position.
+*/
+
+/*!
+    \fn void QRectF::translate(qreal dx, qreal dy)
+
+    Moves the rectangle \a dx along the x-axis and \a dy along the y-axis,
+    relative to the current position. Positive values move the rectangle to the
+    right and downwards.
+
+    \sa moveTopLeft(),  moveTo(),  translated()
+*/
+
+
+/*!
+    \fn void QRectF::translate(const QPointF &offset)
+    \overload
+
+    Moves the rectangle \a{offset}.\l{QPointF::x()}{x()} along the x
+    axis and \a{offset}.\l{QPointF::y()}{y()} along the y axis,
+    relative to the current position.
+*/
+
+
+/*!
+    \fn QRectF QRectF::translated(qreal dx, qreal dy) const
+
+    Returns a copy of the rectangle that is translated \a dx along the
+    x axis and \a dy along the y axis, relative to the current
+    position. Positive values move the rectangle to the right and
+    down.
+
+    \sa translate()
+*/
+
+
+/*!
+    \fn QRectF QRectF::translated(const QPointF &offset) const
+    \overload
+
+    Returns a copy of the rectangle that is translated
+    \a{offset}.\l{QPointF::x()}{x()} along the x axis and
+    \a{offset}.\l{QPointF::y()}{y()} along the y axis, relative to the
+    current position.
+*/
+
+
+/*!
+    \fn void QRectF::setRect(qreal x, qreal y, qreal width, qreal height)
+
+    Sets the coordinates of the rectangle's top-left corner to (\a x,
+    \a y), and its size to the given \a width and \a height.
+
+    \sa getRect(), setCoords()
+*/
+
+
+/*!
+    \fn void QRectF::setCoords(qreal x1, qreal y1, qreal x2, qreal y2)
+
+    Sets the coordinates of the rectangle's top-left corner to (\a x1,
+    \a y1), and the coordinates of its bottom-right corner to (\a x2,
+    \a y2).
+
+    \sa getCoords() setRect()
+*/
+
+/*!
+    \fn QRectF QRectF::adjusted(qreal dx1, qreal dy1, qreal dx2, qreal dy2) const
+
+    Returns a new rectangle with \a dx1, \a dy1, \a dx2 and \a dy2
+    added respectively to the existing coordinates of this rectangle.
+
+    \sa adjust()
+*/
+
+/*! \fn void QRectF::adjust(qreal dx1, qreal dy1, qreal dx2, qreal dy2)
+
+    Adds \a dx1, \a dy1, \a dx2 and \a dy2 respectively to the
+    existing coordinates of the rectangle.
+
+    \sa adjusted(), setRect()
+*/
+/*!
+    \fn QSizeF QRectF::size() const
+
+    Returns the size of the rectangle.
+
+    \sa setSize(), width(), height()
+*/
+
+/*!
+    \fn qreal QRectF::width() const
+
+    Returns the width of the rectangle.
+
+    \sa setWidth(), height(), size()
+*/
+
+/*!
+    \fn qreal QRectF::height() const
+
+    Returns the height of the rectangle.
+
+    \sa setHeight(), width(), size()
+*/
+
+/*!
+    \fn void QRectF::setWidth(qreal width)
+
+    Sets the width of the rectangle to the given \a width. The right
+    edge is changed, but not the left one.
+
+    \sa width(), setSize()
+*/
+
+
+/*!
+    \fn void QRectF::setHeight(qreal height)
+
+    Sets the height of the rectangle to the given \a height. The bottom
+    edge is changed, but not the top one.
+
+    \sa height(), setSize()
+*/
+
+
+/*!
+    \fn void QRectF::setSize(const QSizeF &size)
+
+    Sets the size of the rectangle to the given \a size. The top-left
+    corner is not moved.
+
+    \sa size(), setWidth(), setHeight()
+*/
+
+
+/*!
+    \fn bool QRectF::contains(const QPointF &point) const
+
+    Returns true if the given \a point is inside or on the edge of the
+    rectangle; otherwise returns false.
+
+    \sa intersects()
+*/
+
+bool QRectF::contains(const QPointF &p) const
+{
+    qreal l = xp;
+    qreal r = xp;
+    if (w < 0)
+        l += w;
+    else
+        r += w;
+    if (l == r) // null rect
+        return false;
+
+    if (p.x() < l || p.x() > r)
+        return false;
+
+    qreal t = yp;
+    qreal b = yp;
+    if (h < 0)
+        t += h;
+    else
+        b += h;
+    if (t == b) // null rect
+        return false;
+
+    if (p.y() < t || p.y() > b)
+        return false;
+
+    return true;
+}
+
+
+/*!
+    \fn bool QRectF::contains(qreal x, qreal y) const
+    \overload
+
+    Returns true if the point (\a x, \a y) is inside or on the edge of
+    the rectangle; otherwise returns false.
+*/
+
+/*!
+    \fn bool QRectF::contains(const QRectF &rectangle) const
+    \overload
+
+    Returns true if the given \a rectangle is inside this rectangle;
+    otherwise returns false.
+*/
+
+bool QRectF::contains(const QRectF &r) const
+{
+    qreal l1 = xp;
+    qreal r1 = xp;
+    if (w < 0)
+        l1 += w;
+    else
+        r1 += w;
+    if (l1 == r1) // null rect
+        return false;
+
+    qreal l2 = r.xp;
+    qreal r2 = r.xp;
+    if (r.w < 0)
+        l2 += r.w;
+    else
+        r2 += r.w;
+    if (l2 == r2) // null rect
+        return false;
+
+    if (l2 < l1 || r2 > r1)
+        return false;
+
+    qreal t1 = yp;
+    qreal b1 = yp;
+    if (h < 0)
+        t1 += h;
+    else
+        b1 += h;
+    if (t1 == b1) // null rect
+        return false;
+
+    qreal t2 = r.yp;
+    qreal b2 = r.yp;
+    if (r.h < 0)
+        t2 += r.h;
+    else
+        b2 += r.h;
+    if (t2 == b2) // null rect
+        return false;
+
+    if (t2 < t1 || b2 > b1)
+        return false;
+
+    return true;
+}
+
+/*!
+    \fn qreal QRectF::left() const
+
+    Returns the x-coordinate of the rectangle's left edge. Equivalent
+    to x().
+
+    \sa setLeft(), topLeft(), bottomLeft()
+*/
+
+/*!
+    \fn qreal QRectF::top() const
+
+    Returns the y-coordinate of the rectangle's top edge. Equivalent
+    to y().
+
+    \sa setTop(), topLeft(), topRight()
+*/
+
+/*!
+    \fn qreal QRectF::right() const
+
+    Returns the x-coordinate of the rectangle's right edge.
+
+    \sa setRight(), topRight(), bottomRight()
+*/
+
+/*!
+    \fn qreal QRectF::bottom() const
+
+    Returns the y-coordinate of the rectangle's bottom edge.
+
+    \sa setBottom(), bottomLeft(), bottomRight()
+*/
+
+/*!
+    \fn QPointF QRectF::topLeft() const
+
+    Returns the position of the rectangle's top-left corner.
+
+    \sa setTopLeft(), top(), left()
+*/
+
+/*!
+    \fn QPointF QRectF::bottomRight() const
+
+    Returns the position of the rectangle's  bottom-right corner.
+
+    \sa setBottomRight(), bottom(), right()
+*/
+
+/*!
+    \fn QPointF QRectF::topRight() const
+
+    Returns the position of the rectangle's top-right corner.
+
+    \sa setTopRight(), top(), right()
+*/
+
+/*!
+    \fn QPointF QRectF::bottomLeft() const
+
+    Returns the position of the rectangle's  bottom-left corner.
+
+    \sa setBottomLeft(),  bottom(), left()
+*/
+
+/*!
+    \fn QRectF& QRectF::operator|=(const QRectF &rectangle)
+
+    Unites this rectangle with the given \a rectangle.
+
+    \sa united(), operator|()
+*/
+
+/*!
+    \fn QRectF& QRectF::operator&=(const QRectF &rectangle)
+
+    Intersects this rectangle with the given \a rectangle.
+
+    \sa intersected(), operator|=()
+*/
+
+
+/*!
+    \fn QRectF QRectF::operator|(const QRectF &rectangle) const
+
+    Returns the bounding rectangle of this rectangle and the given \a rectangle.
+
+    \sa united(), operator|=()
+*/
+
+QRectF QRectF::operator|(const QRectF &r) const
+{
+    qreal l1 = xp;
+    qreal r1 = xp;
+    if (w < 0)
+        l1 += w;
+    else
+        r1 += w;
+    if (l1 == r1) // null rect
+        return r;
+
+    qreal l2 = r.xp;
+    qreal r2 = r.xp;
+    if (r.w < 0)
+        l2 += r.w;
+    else
+        r2 += r.w;
+    if (l2 == r2) // null rect
+        return *this;
+
+    qreal t1 = yp;
+    qreal b1 = yp;
+    if (h < 0)
+        t1 += h;
+    else
+        b1 += h;
+    if (t1 == b1) // null rect
+        return r;
+
+    qreal t2 = r.yp;
+    qreal b2 = r.yp;
+    if (r.h < 0)
+        t2 += r.h;
+    else
+        b2 += r.h;
+    if (t2 == b2) // null rect
+        return *this;
+
+    QRectF tmp;
+    tmp.xp = qMin(l1, l2);
+    tmp.yp = qMin(t1, t2);
+    tmp.w = qMax(r1, r2) - tmp.xp;
+    tmp.h = qMax(b1, b2) - tmp.yp;
+    return tmp;
+}
+
+/*!
+    \fn QRectF QRectF::unite(const QRectF &rectangle) const
+    \obsolete
+
+    Use united(\a rectangle) instead.
+*/
+
+/*!
+    \fn QRectF QRectF::united(const QRectF &rectangle) const
+    \since 4.2
+
+    Returns the bounding rectangle of this rectangle and the given \a
+    rectangle.
+
+    \image qrect-unite.png
+
+    \sa intersected()
+*/
+
+
+/*!
+    \fn QRectF QRectF::operator &(const QRectF &rectangle) const
+
+    Returns the intersection of this rectangle and the given \a
+    rectangle. Returns an empty rectangle if there is no intersection.
+
+    \sa operator&=(), intersected()
+*/
+
+QRectF QRectF::operator&(const QRectF &r) const
+{
+    qreal l1 = xp;
+    qreal r1 = xp;
+    if (w < 0)
+        l1 += w;
+    else
+        r1 += w;
+    if (l1 == r1) // null rect
+        return QRectF();
+
+    qreal l2 = r.xp;
+    qreal r2 = r.xp;
+    if (r.w < 0)
+        l2 += r.w;
+    else
+        r2 += r.w;
+    if (l2 == r2) // null rect
+        return QRectF();
+
+    if (l1 >= r2 || l2 >= r1)
+        return QRectF();
+
+    qreal t1 = yp;
+    qreal b1 = yp;
+    if (h < 0)
+        t1 += h;
+    else
+        b1 += h;
+    if (t1 == b1) // null rect
+        return QRectF();
+
+    qreal t2 = r.yp;
+    qreal b2 = r.yp;
+    if (r.h < 0)
+        t2 += r.h;
+    else
+        b2 += r.h;
+    if (t2 == b2) // null rect
+        return QRectF();
+
+    if (t1 >= b2 || t2 >= b1)
+        return QRectF();
+
+    QRectF tmp;
+    tmp.xp = qMax(l1, l2);
+    tmp.yp = qMax(t1, t2);
+    tmp.w = qMin(r1, r2) - tmp.xp;
+    tmp.h = qMin(b1, b2) - tmp.yp;
+    return tmp;
+}
+
+/*!
+    \fn QRectF QRectF::intersect(const QRectF &rectangle) const
+    \obsolete
+
+    Use intersected(\a rectangle) instead.
+*/
+
+/*!
+    \fn QRectF QRectF::intersected(const QRectF &rectangle) const
+    \since 4.2
+
+    Returns the intersection of this rectangle and the given \a
+    rectangle. Note that \c {r.intersected(s)} is equivalent to \c
+    {r & s}.
+
+    \image qrect-intersect.png
+
+    \sa intersects(), united(), operator&=()
+*/
+
+/*!
+    \fn bool QRectF::intersects(const QRectF &rectangle) const
+
+    Returns true if this rectangle intersects with the given \a
+    rectangle (i.e. there is a non-empty area of overlap between
+    them), otherwise returns false.
+
+    The intersection rectangle can be retrieved using the intersected()
+    function.
+
+    \sa contains()
+*/
+
+bool QRectF::intersects(const QRectF &r) const
+{
+    qreal l1 = xp;
+    qreal r1 = xp;
+    if (w < 0)
+        l1 += w;
+    else
+        r1 += w;
+    if (l1 == r1) // null rect
+        return false;
+
+    qreal l2 = r.xp;
+    qreal r2 = r.xp;
+    if (r.w < 0)
+        l2 += r.w;
+    else
+        r2 += r.w;
+    if (l2 == r2) // null rect
+        return false;
+
+    if (l1 >= r2 || l2 >= r1)
+        return false;
+
+    qreal t1 = yp;
+    qreal b1 = yp;
+    if (h < 0)
+        t1 += h;
+    else
+        b1 += h;
+    if (t1 == b1) // null rect
+        return false;
+
+    qreal t2 = r.yp;
+    qreal b2 = r.yp;
+    if (r.h < 0)
+        t2 += r.h;
+    else
+        b2 += r.h;
+    if (t2 == b2) // null rect
+        return false;
+
+    if (t1 >= b2 || t2 >= b1)
+        return false;
+
+    return true;
+}
+
+/*!
+    \fn QRect QRectF::toRect() const
+
+    Returns a QRect based on the values of this rectangle.  Note that the
+    coordinates in the returned rectangle are rounded to the nearest integer.
+
+    \sa QRectF(), toAlignedRect()
+*/
+
+/*!
+    \fn QRect QRectF::toAlignedRect() const
+    \since 4.3
+
+    Returns a QRect based on the values of this rectangle that is the
+    smallest possible integer rectangle that completely contains this
+    rectangle.
+
+    \sa toRect()
+*/
+
+QRect QRectF::toAlignedRect() const
+{
+    int xmin = int(qFloor(xp));
+    int xmax = int(qCeil(xp + w));
+    int ymin = int(qFloor(yp));
+    int ymax = int(qCeil(yp + h));
+    return QRect(xmin, ymin, xmax - xmin, ymax - ymin);
+}
+
+/*!
+    \fn void QRectF::moveCenter(const QPointF &position)
+
+    Moves the rectangle, leaving the center point at the given \a
+    position. The rectangle's size is unchanged.
+
+    \sa center()
+*/
+
+/*!
+    \fn bool operator==(const QRectF &r1, const QRectF &r2)
+    \relates QRectF
+
+    Returns true if the rectangles \a r1 and \a r2 are equal,
+    otherwise returns false.
+*/
+
+
+/*!
+    \fn bool operator!=(const QRectF &r1, const QRectF &r2)
+    \relates QRectF
+
+    Returns true if the rectangles \a r1 and \a r2 are different, otherwise
+    returns false.
+*/
+
+/*****************************************************************************
+  QRectF stream functions
+ *****************************************************************************/
+#ifndef QT_NO_DATASTREAM
+/*!
+    \fn QDataStream &operator<<(QDataStream &stream, const QRectF &rectangle)
+
+    \relates QRectF
+
+    Writes the \a rectangle to the \a stream, and returns a reference to the
+    stream.
+
+    \sa \link datastreamformat.html Format of the QDataStream operators \endlink
+*/
+
+QDataStream &operator<<(QDataStream &s, const QRectF &r)
+{
+    s << double(r.x()) << double(r.y()) << double(r.width()) << double(r.height());
+    return s;
+}
+
+/*!
+    \fn QDataStream &operator>>(QDataStream &stream, QRectF &rectangle)
+
+    \relates QRectF
+
+    Reads a \a rectangle from the \a stream, and returns a reference to the
+    stream.
+
+    \sa \link datastreamformat.html Format of the QDataStream operators \endlink
+*/
+
+QDataStream &operator>>(QDataStream &s, QRectF &r)
+{
+    double x, y, w, h;
+    s >> x;
+    s >> y;
+    s >> w;
+    s >> h;
+    r.setRect(qreal(x), qreal(y), qreal(w), qreal(h));
+    return s;
+}
+
+#endif // QT_NO_DATASTREAM
+
+
+#ifndef QT_NO_DEBUG_STREAM
+QDebug operator<<(QDebug dbg, const QRectF &r) {
+    dbg.nospace() << "QRectF(" << r.x() << ',' << r.y() << ' '
+                  << r.width() << 'x' << r.height() << ')';
+    return dbg.space();
+}
+#endif
+
+QT_END_NAMESPACE