084f84d112
Change-Id: Id3b97ea3ce45452e0b59986bc4fd84fd9b0d3708 Reviewed-by: Marc Mutz <marc.mutz@kdab.com>
794 lines
21 KiB
C++
794 lines
21 KiB
C++
/****************************************************************************
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**
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** Copyright (C) 2016 The Qt Company Ltd.
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** Contact: https://www.qt.io/licensing/
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**
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** This file is part of the QtGui module of the Qt Toolkit.
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**
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** $QT_BEGIN_LICENSE:LGPL$
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** Commercial License Usage
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** Licensees holding valid commercial Qt licenses may use this file in
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** accordance with the commercial license agreement provided with the
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** Software or, alternatively, in accordance with the terms contained in
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** a written agreement between you and The Qt Company. For licensing terms
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** and conditions see https://www.qt.io/terms-conditions. For further
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** information use the contact form at https://www.qt.io/contact-us.
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**
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** GNU Lesser General Public License Usage
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** Alternatively, this file may be used under the terms of the GNU Lesser
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** General Public License version 3 as published by the Free Software
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** Foundation and appearing in the file LICENSE.LGPL3 included in the
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** packaging of this file. Please review the following information to
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** ensure the GNU Lesser General Public License version 3 requirements
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** will be met: https://www.gnu.org/licenses/lgpl-3.0.html.
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**
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** GNU General Public License Usage
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** Alternatively, this file may be used under the terms of the GNU
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** General Public License version 2.0 or (at your option) the GNU General
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** Public license version 3 or any later version approved by the KDE Free
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** Qt Foundation. The licenses are as published by the Free Software
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** Foundation and appearing in the file LICENSE.GPL2 and LICENSE.GPL3
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** included in the packaging of this file. Please review the following
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** information to ensure the GNU General Public License requirements will
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** be met: https://www.gnu.org/licenses/gpl-2.0.html and
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** https://www.gnu.org/licenses/gpl-3.0.html.
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**
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** $QT_END_LICENSE$
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**
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****************************************************************************/
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#include "qvector3d.h"
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#include "qvector2d.h"
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#include "qvector4d.h"
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#include "qmatrix4x4.h"
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#include <QtCore/qdatastream.h>
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#include <QtCore/qmath.h>
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#include <QtCore/qvariant.h>
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#include <QtCore/qdebug.h>
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#include <QtCore/qrect.h>
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QT_BEGIN_NAMESPACE
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#ifndef QT_NO_VECTOR3D
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Q_STATIC_ASSERT_X(std::is_standard_layout<QVector3D>::value, "QVector3D is supposed to be standard layout");
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Q_STATIC_ASSERT_X(sizeof(QVector3D) == sizeof(float) * 3, "QVector3D is not supposed to have padding at the end");
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// QVector3D used to be defined as class QVector3D { float x, y, z; };,
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// now instead it is defined as classs QVector3D { float v[3]; };.
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// Check that binary compatibility is preserved.
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// ### Qt 6: remove all of these checks.
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namespace {
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struct QVector3DOld
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{
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float x, y, z;
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};
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struct QVector3DNew
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{
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float v[3];
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};
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Q_STATIC_ASSERT_X(std::is_standard_layout<QVector3DOld>::value, "Binary compatibility break in QVector3D");
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Q_STATIC_ASSERT_X(std::is_standard_layout<QVector3DNew>::value, "Binary compatibility break in QVector3D");
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Q_STATIC_ASSERT_X(sizeof(QVector3DOld) == sizeof(QVector3DNew), "Binary compatibility break in QVector3D");
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// requires a constexpr offsetof
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#if !defined(Q_CC_MSVC) || (_MSC_VER >= 1910)
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Q_STATIC_ASSERT_X(offsetof(QVector3DOld, x) == offsetof(QVector3DNew, v) + sizeof(QVector3DNew::v[0]) * 0, "Binary compatibility break in QVector3D");
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Q_STATIC_ASSERT_X(offsetof(QVector3DOld, y) == offsetof(QVector3DNew, v) + sizeof(QVector3DNew::v[0]) * 1, "Binary compatibility break in QVector3D");
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Q_STATIC_ASSERT_X(offsetof(QVector3DOld, z) == offsetof(QVector3DNew, v) + sizeof(QVector3DNew::v[0]) * 2, "Binary compatibility break in QVector3D");
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#endif
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} // anonymous namespace
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/*!
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\class QVector3D
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\brief The QVector3D class represents a vector or vertex in 3D space.
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\since 4.6
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\ingroup painting-3D
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\inmodule QtGui
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Vectors are one of the main building blocks of 3D representation and
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drawing. They consist of three coordinates, traditionally called
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x, y, and z.
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The QVector3D class can also be used to represent vertices in 3D space.
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We therefore do not need to provide a separate vertex class.
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\sa QVector2D, QVector4D, QQuaternion
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*/
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/*!
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\fn QVector3D::QVector3D()
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Constructs a null vector, i.e. with coordinates (0, 0, 0).
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*/
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/*!
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\fn QVector3D::QVector3D(Qt::Initialization)
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\since 5.5
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\internal
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Constructs a vector without initializing the contents.
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*/
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/*!
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\fn QVector3D::QVector3D(float xpos, float ypos, float zpos)
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Constructs a vector with coordinates (\a xpos, \a ypos, \a zpos).
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*/
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/*!
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\fn QVector3D::QVector3D(const QPoint& point)
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Constructs a vector with x and y coordinates from a 2D \a point, and a
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z coordinate of 0.
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*/
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/*!
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\fn QVector3D::QVector3D(const QPointF& point)
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Constructs a vector with x and y coordinates from a 2D \a point, and a
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z coordinate of 0.
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*/
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#ifndef QT_NO_VECTOR2D
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/*!
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Constructs a 3D vector from the specified 2D \a vector. The z
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coordinate is set to zero.
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\sa toVector2D()
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*/
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QVector3D::QVector3D(const QVector2D& vector)
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{
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v[0] = vector.v[0];
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v[1] = vector.v[1];
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v[2] = 0.0f;
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}
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/*!
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Constructs a 3D vector from the specified 2D \a vector. The z
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coordinate is set to \a zpos.
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\sa toVector2D()
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*/
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QVector3D::QVector3D(const QVector2D& vector, float zpos)
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{
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v[0] = vector.v[0];
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v[1] = vector.v[1];
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v[2] = zpos;
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}
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#endif
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#ifndef QT_NO_VECTOR4D
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/*!
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Constructs a 3D vector from the specified 4D \a vector. The w
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coordinate is dropped.
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\sa toVector4D()
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*/
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QVector3D::QVector3D(const QVector4D& vector)
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{
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v[0] = vector.v[0];
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v[1] = vector.v[1];
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v[2] = vector.v[2];
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}
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#endif
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/*!
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\fn bool QVector3D::isNull() const
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Returns \c true if the x, y, and z coordinates are set to 0.0,
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otherwise returns \c false.
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*/
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/*!
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\fn float QVector3D::x() const
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Returns the x coordinate of this point.
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\sa setX(), y(), z()
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*/
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/*!
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\fn float QVector3D::y() const
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Returns the y coordinate of this point.
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\sa setY(), x(), z()
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*/
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/*!
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\fn float QVector3D::z() const
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Returns the z coordinate of this point.
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\sa setZ(), x(), y()
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*/
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/*!
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\fn void QVector3D::setX(float x)
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Sets the x coordinate of this point to the given \a x coordinate.
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\sa x(), setY(), setZ()
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*/
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/*!
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\fn void QVector3D::setY(float y)
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Sets the y coordinate of this point to the given \a y coordinate.
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\sa y(), setX(), setZ()
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*/
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/*!
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\fn void QVector3D::setZ(float z)
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Sets the z coordinate of this point to the given \a z coordinate.
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\sa z(), setX(), setY()
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*/
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/*! \fn float &QVector3D::operator[](int i)
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\since 5.2
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Returns the component of the vector at index position \a i
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as a modifiable reference.
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\a i must be a valid index position in the vector (i.e., 0 <= \a i
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< 3).
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*/
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/*! \fn float QVector3D::operator[](int i) const
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\since 5.2
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Returns the component of the vector at index position \a i.
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\a i must be a valid index position in the vector (i.e., 0 <= \a i
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< 3).
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*/
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/*!
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Returns the normalized unit vector form of this vector.
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If this vector is null, then a null vector is returned. If the length
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of the vector is very close to 1, then the vector will be returned as-is.
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Otherwise the normalized form of the vector of length 1 will be returned.
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\sa length(), normalize()
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*/
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QVector3D QVector3D::normalized() const
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{
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// Need some extra precision if the length is very small.
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double len = double(v[0]) * double(v[0]) +
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double(v[1]) * double(v[1]) +
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double(v[2]) * double(v[2]);
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if (qFuzzyIsNull(len - 1.0f)) {
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return *this;
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} else if (!qFuzzyIsNull(len)) {
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double sqrtLen = std::sqrt(len);
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return QVector3D(float(double(v[0]) / sqrtLen),
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float(double(v[1]) / sqrtLen),
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float(double(v[2]) / sqrtLen));
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} else {
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return QVector3D();
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}
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}
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/*!
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Normalizes the currect vector in place. Nothing happens if this
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vector is a null vector or the length of the vector is very close to 1.
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\sa length(), normalized()
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*/
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void QVector3D::normalize()
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{
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// Need some extra precision if the length is very small.
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double len = double(v[0]) * double(v[0]) +
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double(v[1]) * double(v[1]) +
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double(v[2]) * double(v[2]);
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if (qFuzzyIsNull(len - 1.0f) || qFuzzyIsNull(len))
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return;
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len = std::sqrt(len);
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v[0] = float(double(v[0]) / len);
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v[1] = float(double(v[1]) / len);
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v[2] = float(double(v[2]) / len);
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}
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/*!
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\fn QVector3D &QVector3D::operator+=(const QVector3D &vector)
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Adds the given \a vector to this vector and returns a reference to
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this vector.
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\sa operator-=()
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*/
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/*!
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\fn QVector3D &QVector3D::operator-=(const QVector3D &vector)
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Subtracts the given \a vector from this vector and returns a reference to
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this vector.
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\sa operator+=()
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*/
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/*!
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\fn QVector3D &QVector3D::operator*=(float factor)
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Multiplies this vector's coordinates by the given \a factor, and
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returns a reference to this vector.
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\sa operator/=()
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*/
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/*!
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\fn QVector3D &QVector3D::operator*=(const QVector3D& vector)
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\overload
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Multiplies the components of this vector by the corresponding
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components in \a vector.
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Note: this is not the same as the crossProduct() of this
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vector and \a vector.
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\sa crossProduct()
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*/
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/*!
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\fn QVector3D &QVector3D::operator/=(float divisor)
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Divides this vector's coordinates by the given \a divisor, and
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returns a reference to this vector.
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\sa operator*=()
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*/
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/*!
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\fn QVector3D &QVector3D::operator/=(const QVector3D &vector)
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\since 5.5
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Divides the components of this vector by the corresponding
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components in \a vector.
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\sa operator*=()
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*/
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/*!
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Returns the dot product of \a v1 and \a v2.
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*/
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float QVector3D::dotProduct(const QVector3D& v1, const QVector3D& v2)
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{
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return v1.v[0] * v2.v[0] + v1.v[1] * v2.v[1] + v1.v[2] * v2.v[2];
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}
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/*!
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Returns the cross-product of vectors \a v1 and \a v2, which corresponds
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to the normal vector of a plane defined by \a v1 and \a v2.
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\sa normal()
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*/
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QVector3D QVector3D::crossProduct(const QVector3D& v1, const QVector3D& v2)
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{
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return QVector3D(v1.v[1] * v2.v[2] - v1.v[2] * v2.v[1],
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v1.v[2] * v2.v[0] - v1.v[0] * v2.v[2],
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v1.v[0] * v2.v[1] - v1.v[1] * v2.v[0]);
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}
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/*!
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Returns the normal vector of a plane defined by vectors \a v1 and \a v2,
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normalized to be a unit vector.
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Use crossProduct() to compute the cross-product of \a v1 and \a v2 if you
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do not need the result to be normalized to a unit vector.
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\sa crossProduct(), distanceToPlane()
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*/
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QVector3D QVector3D::normal(const QVector3D& v1, const QVector3D& v2)
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{
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return crossProduct(v1, v2).normalized();
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}
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/*!
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\overload
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Returns the normal vector of a plane defined by vectors
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\a v2 - \a v1 and \a v3 - \a v1, normalized to be a unit vector.
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Use crossProduct() to compute the cross-product of \a v2 - \a v1 and
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\a v3 - \a v1 if you do not need the result to be normalized to a
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unit vector.
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\sa crossProduct(), distanceToPlane()
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*/
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QVector3D QVector3D::normal
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(const QVector3D& v1, const QVector3D& v2, const QVector3D& v3)
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{
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return crossProduct((v2 - v1), (v3 - v1)).normalized();
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}
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/*!
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\since 5.5
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Returns the window coordinates of this vector initially in object/model
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coordinates using the model view matrix \a modelView, the projection matrix
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\a projection and the viewport dimensions \a viewport.
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When transforming from clip to normalized space, a division by the w
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component on the vector components takes place. To prevent dividing by 0 if
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w equals to 0, it is set to 1.
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\note the returned y coordinates are in OpenGL orientation. OpenGL expects
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the bottom to be 0 whereas for Qt top is 0.
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\sa unproject()
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*/
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QVector3D QVector3D::project(const QMatrix4x4 &modelView, const QMatrix4x4 &projection, const QRect &viewport) const
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{
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QVector4D tmp(*this, 1.0f);
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tmp = projection * modelView * tmp;
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if (qFuzzyIsNull(tmp.w()))
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tmp.setW(1.0f);
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tmp /= tmp.w();
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tmp = tmp * 0.5f + QVector4D(0.5f, 0.5f, 0.5f, 0.5f);
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tmp.setX(tmp.x() * viewport.width() + viewport.x());
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tmp.setY(tmp.y() * viewport.height() + viewport.y());
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return tmp.toVector3D();
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}
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/*!
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\since 5.5
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Returns the object/model coordinates of this vector initially in window
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coordinates using the model view matrix \a modelView, the projection matrix
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\a projection and the viewport dimensions \a viewport.
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When transforming from clip to normalized space, a division by the w
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component of the vector components takes place. To prevent dividing by 0 if
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w equals to 0, it is set to 1.
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\note y coordinates in \a viewport should use OpenGL orientation. OpenGL
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expects the bottom to be 0 whereas for Qt top is 0.
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\sa project()
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*/
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QVector3D QVector3D::unproject(const QMatrix4x4 &modelView, const QMatrix4x4 &projection, const QRect &viewport) const
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{
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QMatrix4x4 inverse = QMatrix4x4( projection * modelView ).inverted();
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QVector4D tmp(*this, 1.0f);
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tmp.setX((tmp.x() - float(viewport.x())) / float(viewport.width()));
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tmp.setY((tmp.y() - float(viewport.y())) / float(viewport.height()));
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tmp = tmp * 2.0f - QVector4D(1.0f, 1.0f, 1.0f, 1.0f);
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QVector4D obj = inverse * tmp;
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if (qFuzzyIsNull(obj.w()))
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obj.setW(1.0f);
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obj /= obj.w();
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return obj.toVector3D();
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}
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/*!
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\since 5.1
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Returns the distance from this vertex to a point defined by
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the vertex \a point.
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\sa distanceToPlane(), distanceToLine()
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*/
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float QVector3D::distanceToPoint(const QVector3D& point) const
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{
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return (*this - point).length();
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}
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/*!
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Returns the distance from this vertex to a plane defined by
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the vertex \a plane and a \a normal unit vector. The \a normal
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parameter is assumed to have been normalized to a unit vector.
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The return value will be negative if the vertex is below the plane,
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or zero if it is on the plane.
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\sa normal(), distanceToLine()
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*/
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float QVector3D::distanceToPlane
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(const QVector3D& plane, const QVector3D& normal) const
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{
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return dotProduct(*this - plane, normal);
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}
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/*!
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\overload
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Returns the distance from this vertex to a plane defined by
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the vertices \a plane1, \a plane2 and \a plane3.
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The return value will be negative if the vertex is below the plane,
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or zero if it is on the plane.
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The two vectors that define the plane are \a plane2 - \a plane1
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and \a plane3 - \a plane1.
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\sa normal(), distanceToLine()
|
|
*/
|
|
float QVector3D::distanceToPlane
|
|
(const QVector3D& plane1, const QVector3D& plane2, const QVector3D& plane3) const
|
|
{
|
|
QVector3D n = normal(plane2 - plane1, plane3 - plane1);
|
|
return dotProduct(*this - plane1, n);
|
|
}
|
|
|
|
/*!
|
|
Returns the distance that this vertex is from a line defined
|
|
by \a point and the unit vector \a direction.
|
|
|
|
If \a direction is a null vector, then it does not define a line.
|
|
In that case, the distance from \a point to this vertex is returned.
|
|
|
|
\sa distanceToPlane()
|
|
*/
|
|
float 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();
|
|
}
|
|
|
|
/*!
|
|
\fn bool operator==(const QVector3D &v1, const QVector3D &v2)
|
|
\relates QVector3D
|
|
|
|
Returns \c true if \a v1 is equal to \a v2; otherwise returns \c false.
|
|
This operator uses an exact floating-point comparison.
|
|
*/
|
|
|
|
/*!
|
|
\fn bool operator!=(const QVector3D &v1, const QVector3D &v2)
|
|
\relates QVector3D
|
|
|
|
Returns \c true if \a v1 is not equal to \a v2; otherwise returns \c false.
|
|
This operator uses an exact floating-point comparison.
|
|
*/
|
|
|
|
/*!
|
|
\fn const QVector3D operator+(const QVector3D &v1, const QVector3D &v2)
|
|
\relates QVector3D
|
|
|
|
Returns a QVector3D object that is the sum of the given vectors, \a v1
|
|
and \a v2; each component is added separately.
|
|
|
|
\sa QVector3D::operator+=()
|
|
*/
|
|
|
|
/*!
|
|
\fn const QVector3D operator-(const QVector3D &v1, const QVector3D &v2)
|
|
\relates QVector3D
|
|
|
|
Returns a QVector3D object that is formed by subtracting \a v2 from \a v1;
|
|
each component is subtracted separately.
|
|
|
|
\sa QVector3D::operator-=()
|
|
*/
|
|
|
|
/*!
|
|
\fn const QVector3D operator*(float factor, const QVector3D &vector)
|
|
\relates QVector3D
|
|
|
|
Returns a copy of the given \a vector, multiplied by the given \a factor.
|
|
|
|
\sa QVector3D::operator*=()
|
|
*/
|
|
|
|
/*!
|
|
\fn const QVector3D operator*(const QVector3D &vector, float factor)
|
|
\relates QVector3D
|
|
|
|
Returns a copy of the given \a vector, multiplied by the given \a factor.
|
|
|
|
\sa QVector3D::operator*=()
|
|
*/
|
|
|
|
/*!
|
|
\fn const QVector3D operator*(const QVector3D &v1, const QVector3D& v2)
|
|
\relates QVector3D
|
|
|
|
Multiplies the components of \a v1 by the corresponding components in \a v2.
|
|
|
|
Note: this is not the same as the crossProduct() of \a v1 and \a v2.
|
|
|
|
\sa QVector3D::crossProduct()
|
|
*/
|
|
|
|
/*!
|
|
\fn const QVector3D operator-(const QVector3D &vector)
|
|
\relates QVector3D
|
|
\overload
|
|
|
|
Returns a QVector3D object that is formed by changing the sign of
|
|
all three components of the given \a vector.
|
|
|
|
Equivalent to \c {QVector3D(0,0,0) - vector}.
|
|
*/
|
|
|
|
/*!
|
|
\fn const QVector3D operator/(const QVector3D &vector, float divisor)
|
|
\relates QVector3D
|
|
|
|
Returns the QVector3D object formed by dividing all three components of
|
|
the given \a vector by the given \a divisor.
|
|
|
|
\sa QVector3D::operator/=()
|
|
*/
|
|
|
|
/*!
|
|
\fn const QVector3D operator/(const QVector3D &vector, const QVector3D &divisor)
|
|
\relates QVector3D
|
|
\since 5.5
|
|
|
|
Returns the QVector3D object formed by dividing components of the given
|
|
\a vector by a respective components of the given \a divisor.
|
|
|
|
\sa QVector3D::operator/=()
|
|
*/
|
|
|
|
/*!
|
|
\fn bool qFuzzyCompare(const QVector3D& v1, const QVector3D& v2)
|
|
\relates QVector3D
|
|
|
|
Returns \c true if \a v1 and \a v2 are equal, allowing for a small
|
|
fuzziness factor for floating-point comparisons; false otherwise.
|
|
*/
|
|
|
|
#ifndef QT_NO_VECTOR2D
|
|
|
|
/*!
|
|
Returns the 2D vector form of this 3D vector, dropping the z coordinate.
|
|
|
|
\sa toVector4D(), toPoint()
|
|
*/
|
|
QVector2D QVector3D::toVector2D() const
|
|
{
|
|
return QVector2D(v[0], v[1]);
|
|
}
|
|
|
|
#endif
|
|
|
|
#ifndef QT_NO_VECTOR4D
|
|
|
|
/*!
|
|
Returns the 4D form of this 3D vector, with the w coordinate set to zero.
|
|
|
|
\sa toVector2D(), toPoint()
|
|
*/
|
|
QVector4D QVector3D::toVector4D() const
|
|
{
|
|
return QVector4D(v[0], v[1], v[2], 0.0f);
|
|
}
|
|
|
|
#endif
|
|
|
|
/*!
|
|
\fn QPoint QVector3D::toPoint() const
|
|
|
|
Returns the QPoint form of this 3D vector. The z coordinate
|
|
is dropped.
|
|
|
|
\sa toPointF(), toVector2D()
|
|
*/
|
|
|
|
/*!
|
|
\fn QPointF QVector3D::toPointF() const
|
|
|
|
Returns the QPointF form of this 3D vector. The z coordinate
|
|
is dropped.
|
|
|
|
\sa toPoint(), toVector2D()
|
|
*/
|
|
|
|
/*!
|
|
Returns the 3D vector as a QVariant.
|
|
*/
|
|
QVector3D::operator QVariant() const
|
|
{
|
|
return QVariant(QVariant::Vector3D, this);
|
|
}
|
|
|
|
/*!
|
|
Returns the length of the vector from the origin.
|
|
|
|
\sa lengthSquared(), normalized()
|
|
*/
|
|
float QVector3D::length() const
|
|
{
|
|
// Need some extra precision if the length is very small.
|
|
double len = double(v[0]) * double(v[0]) +
|
|
double(v[1]) * double(v[1]) +
|
|
double(v[2]) * double(v[2]);
|
|
return float(std::sqrt(len));
|
|
}
|
|
|
|
/*!
|
|
Returns the squared length of the vector from the origin.
|
|
This is equivalent to the dot product of the vector with itself.
|
|
|
|
\sa length(), dotProduct()
|
|
*/
|
|
float QVector3D::lengthSquared() const
|
|
{
|
|
return v[0] * v[0] + v[1] * v[1] + v[2] * v[2];
|
|
}
|
|
|
|
#ifndef QT_NO_DEBUG_STREAM
|
|
|
|
QDebug operator<<(QDebug dbg, const QVector3D &vector)
|
|
{
|
|
QDebugStateSaver saver(dbg);
|
|
dbg.nospace() << "QVector3D("
|
|
<< vector.x() << ", " << vector.y() << ", " << vector.z() << ')';
|
|
return dbg;
|
|
}
|
|
|
|
#endif
|
|
|
|
#ifndef QT_NO_DATASTREAM
|
|
|
|
/*!
|
|
\fn QDataStream &operator<<(QDataStream &stream, const QVector3D &vector)
|
|
\relates QVector3D
|
|
|
|
Writes the given \a vector to the given \a stream and returns a
|
|
reference to the stream.
|
|
|
|
\sa {Serializing Qt Data Types}
|
|
*/
|
|
|
|
QDataStream &operator<<(QDataStream &stream, const QVector3D &vector)
|
|
{
|
|
stream << vector.x() << vector.y() << vector.z();
|
|
return stream;
|
|
}
|
|
|
|
/*!
|
|
\fn QDataStream &operator>>(QDataStream &stream, QVector3D &vector)
|
|
\relates QVector3D
|
|
|
|
Reads a 3D vector from the given \a stream into the given \a vector
|
|
and returns a reference to the stream.
|
|
|
|
\sa {Serializing Qt Data Types}
|
|
*/
|
|
|
|
QDataStream &operator>>(QDataStream &stream, QVector3D &vector)
|
|
{
|
|
float x, y, z;
|
|
stream >> x;
|
|
stream >> y;
|
|
stream >> z;
|
|
vector.setX(x);
|
|
vector.setY(y);
|
|
vector.setZ(z);
|
|
return stream;
|
|
}
|
|
|
|
#endif // QT_NO_DATASTREAM
|
|
|
|
#endif // QT_NO_VECTOR3D
|
|
|
|
QT_END_NAMESPACE
|