--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/src/gui/math3d/qvector4d.cpp Mon Jan 11 14:00:40 2010 +0000
@@ -0,0 +1,579 @@
+/****************************************************************************
+**
+** Copyright (C) 2009 Nokia Corporation and/or its subsidiary(-ies).
+** All rights reserved.
+** Contact: Nokia Corporation (qt-info@nokia.com)
+**
+** This file is part of the QtGui 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 Technology Preview License Agreement accompanying
+** this package.
+**
+** 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 1.1, included in the file LGPL_EXCEPTION.txt in this package.
+**
+** If you have questions regarding the use of this file, please contact
+** Nokia at qt-info@nokia.com.
+**
+**
+**
+**
+**
+**
+**
+**
+** $QT_END_LICENSE$
+**
+****************************************************************************/
+
+#include "qvector4d.h"
+#include "qvector3d.h"
+#include "qvector2d.h"
+#include <QtCore/qdebug.h>
+#include <QtCore/qvariant.h>
+#include <QtCore/qmath.h>
+
+QT_BEGIN_NAMESPACE
+
+#ifndef QT_NO_VECTOR4D
+
+/*!
+ \class QVector4D
+ \brief The QVector4D class represents a vector or vertex in 4D space.
+ \since 4.6
+ \ingroup painting-3D
+
+ The QVector4D class can also be used to represent vertices in 4D space.
+ We therefore do not need to provide a separate vertex class.
+
+ \sa QQuaternion, QVector2D, QVector3D
+*/
+
+/*!
+ \fn QVector4D::QVector4D()
+
+ Constructs a null vector, i.e. with coordinates (0, 0, 0, 0).
+*/
+
+/*!
+ \fn QVector4D::QVector4D(qreal xpos, qreal ypos, qreal zpos, qreal wpos)
+
+ Constructs a vector with coordinates (\a xpos, \a ypos, \a zpos, \a wpos).
+*/
+
+/*!
+ \fn QVector4D::QVector4D(const QPoint& point)
+
+ Constructs a vector with x and y coordinates from a 2D \a point, and
+ z and w coordinates of 0.
+*/
+
+/*!
+ \fn QVector4D::QVector4D(const QPointF& point)
+
+ Constructs a vector with x and y coordinates from a 2D \a point, and
+ z and w coordinates of 0.
+*/
+
+#ifndef QT_NO_VECTOR2D
+
+/*!
+ Constructs a 4D vector from the specified 2D \a vector. The z
+ and w coordinates are set to zero.
+
+ \sa toVector2D()
+*/
+QVector4D::QVector4D(const QVector2D& vector)
+{
+ xp = vector.xp;
+ yp = vector.yp;
+ zp = 0.0f;
+ wp = 0.0f;
+}
+
+/*!
+ Constructs a 4D vector from the specified 2D \a vector. The z
+ and w coordinates are set to \a zpos and \a wpos respectively.
+
+ \sa toVector2D()
+*/
+QVector4D::QVector4D(const QVector2D& vector, qreal zpos, qreal wpos)
+{
+ xp = vector.xp;
+ yp = vector.yp;
+ zp = zpos;
+ wp = wpos;
+}
+
+#endif
+
+#ifndef QT_NO_VECTOR3D
+
+/*!
+ Constructs a 4D vector from the specified 3D \a vector. The w
+ coordinate is set to zero.
+
+ \sa toVector3D()
+*/
+QVector4D::QVector4D(const QVector3D& vector)
+{
+ xp = vector.xp;
+ yp = vector.yp;
+ zp = vector.zp;
+ wp = 0.0f;
+}
+
+/*!
+ Constructs a 4D vector from the specified 3D \a vector. The w
+ coordinate is set to \a wpos.
+
+ \sa toVector3D()
+*/
+QVector4D::QVector4D(const QVector3D& vector, qreal wpos)
+{
+ xp = vector.xp;
+ yp = vector.yp;
+ zp = vector.zp;
+ wp = wpos;
+}
+
+#endif
+
+/*!
+ \fn bool QVector4D::isNull() const
+
+ Returns true if the x, y, z, and w coordinates are set to 0.0,
+ otherwise returns false.
+*/
+
+/*!
+ \fn qreal QVector4D::x() const
+
+ Returns the x coordinate of this point.
+
+ \sa setX(), y(), z(), w()
+*/
+
+/*!
+ \fn qreal QVector4D::y() const
+
+ Returns the y coordinate of this point.
+
+ \sa setY(), x(), z(), w()
+*/
+
+/*!
+ \fn qreal QVector4D::z() const
+
+ Returns the z coordinate of this point.
+
+ \sa setZ(), x(), y(), w()
+*/
+
+/*!
+ \fn qreal QVector4D::w() const
+
+ Returns the w coordinate of this point.
+
+ \sa setW(), x(), y(), z()
+*/
+
+/*!
+ \fn void QVector4D::setX(qreal x)
+
+ Sets the x coordinate of this point to the given \a x coordinate.
+
+ \sa x(), setY(), setZ(), setW()
+*/
+
+/*!
+ \fn void QVector4D::setY(qreal y)
+
+ Sets the y coordinate of this point to the given \a y coordinate.
+
+ \sa y(), setX(), setZ(), setW()
+*/
+
+/*!
+ \fn void QVector4D::setZ(qreal z)
+
+ Sets the z coordinate of this point to the given \a z coordinate.
+
+ \sa z(), setX(), setY(), setW()
+*/
+
+/*!
+ \fn void QVector4D::setW(qreal w)
+
+ Sets the w coordinate of this point to the given \a w coordinate.
+
+ \sa w(), setX(), setY(), setZ()
+*/
+
+/*!
+ Returns the length of the vector from the origin.
+
+ \sa lengthSquared(), normalized()
+*/
+qreal QVector4D::length() const
+{
+ return qSqrt(xp * xp + yp * yp + zp * zp + wp * wp);
+}
+
+/*!
+ 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()
+*/
+qreal QVector4D::lengthSquared() const
+{
+ return xp * xp + yp * yp + zp * zp + wp * wp;
+}
+
+/*!
+ Returns the normalized unit vector form of this vector.
+
+ If this vector is null, then a null vector is returned. If the length
+ of the vector is very close to 1, then the vector will be returned as-is.
+ Otherwise the normalized form of the vector of length 1 will be returned.
+
+ \sa length(), normalize()
+*/
+QVector4D QVector4D::normalized() const
+{
+ // Need some extra precision if the length is very small.
+ double len = double(xp) * double(xp) +
+ double(yp) * double(yp) +
+ double(zp) * double(zp) +
+ double(wp) * double(wp);
+ if (qFuzzyIsNull(len - 1.0f))
+ return *this;
+ else if (!qFuzzyIsNull(len))
+ return *this / qSqrt(len);
+ else
+ return QVector4D();
+}
+
+/*!
+ Normalizes the currect vector in place. Nothing happens if this
+ vector is a null vector or the length of the vector is very close to 1.
+
+ \sa length(), normalized()
+*/
+void QVector4D::normalize()
+{
+ // Need some extra precision if the length is very small.
+ double len = double(xp) * double(xp) +
+ double(yp) * double(yp) +
+ double(zp) * double(zp) +
+ double(wp) * double(wp);
+ if (qFuzzyIsNull(len - 1.0f) || qFuzzyIsNull(len))
+ return;
+
+ len = qSqrt(len);
+
+ xp /= len;
+ yp /= len;
+ zp /= len;
+ wp /= len;
+}
+
+/*!
+ \fn QVector4D &QVector4D::operator+=(const QVector4D &vector)
+
+ Adds the given \a vector to this vector and returns a reference to
+ this vector.
+
+ \sa operator-=()
+*/
+
+/*!
+ \fn QVector4D &QVector4D::operator-=(const QVector4D &vector)
+
+ Subtracts the given \a vector from this vector and returns a reference to
+ this vector.
+
+ \sa operator+=()
+*/
+
+/*!
+ \fn QVector4D &QVector4D::operator*=(qreal factor)
+
+ Multiplies this vector's coordinates by the given \a factor, and
+ returns a reference to this vector.
+
+ \sa operator/=()
+*/
+
+/*!
+ \fn QVector4D &QVector4D::operator*=(const QVector4D &vector)
+
+ Multiplies the components of this vector by the corresponding
+ components in \a vector.
+*/
+
+/*!
+ \fn QVector4D &QVector4D::operator/=(qreal divisor)
+
+ Divides this vector's coordinates by the given \a divisor, and
+ returns a reference to this vector.
+
+ \sa operator*=()
+*/
+
+/*!
+ Returns the dot product of \a v1 and \a v2.
+*/
+qreal QVector4D::dotProduct(const QVector4D& v1, const QVector4D& v2)
+{
+ return v1.xp * v2.xp + v1.yp * v2.yp + v1.zp * v2.zp + v1.wp * v2.wp;
+}
+
+/*!
+ \fn bool operator==(const QVector4D &v1, const QVector4D &v2)
+ \relates QVector4D
+
+ Returns true if \a v1 is equal to \a v2; otherwise returns false.
+ This operator uses an exact floating-point comparison.
+*/
+
+/*!
+ \fn bool operator!=(const QVector4D &v1, const QVector4D &v2)
+ \relates QVector4D
+
+ Returns true if \a v1 is not equal to \a v2; otherwise returns false.
+ This operator uses an exact floating-point comparison.
+*/
+
+/*!
+ \fn const QVector4D operator+(const QVector4D &v1, const QVector4D &v2)
+ \relates QVector4D
+
+ Returns a QVector4D object that is the sum of the given vectors, \a v1
+ and \a v2; each component is added separately.
+
+ \sa QVector4D::operator+=()
+*/
+
+/*!
+ \fn const QVector4D operator-(const QVector4D &v1, const QVector4D &v2)
+ \relates QVector4D
+
+ Returns a QVector4D object that is formed by subtracting \a v2 from \a v1;
+ each component is subtracted separately.
+
+ \sa QVector4D::operator-=()
+*/
+
+/*!
+ \fn const QVector4D operator*(qreal factor, const QVector4D &vector)
+ \relates QVector4D
+
+ Returns a copy of the given \a vector, multiplied by the given \a factor.
+
+ \sa QVector4D::operator*=()
+*/
+
+/*!
+ \fn const QVector4D operator*(const QVector4D &vector, qreal factor)
+ \relates QVector4D
+
+ Returns a copy of the given \a vector, multiplied by the given \a factor.
+
+ \sa QVector4D::operator*=()
+*/
+
+/*!
+ \fn const QVector4D operator*(const QVector4D &v1, const QVector4D& v2)
+ \relates QVector4D
+
+ Returns the vector consisting of the multiplication of the
+ components from \a v1 and \a v2.
+
+ \sa QVector4D::operator*=()
+*/
+
+/*!
+ \fn const QVector4D operator-(const QVector4D &vector)
+ \relates QVector4D
+ \overload
+
+ Returns a QVector4D object that is formed by changing the sign of
+ all three components of the given \a vector.
+
+ Equivalent to \c {QVector4D(0,0,0,0) - vector}.
+*/
+
+/*!
+ \fn const QVector4D operator/(const QVector4D &vector, qreal divisor)
+ \relates QVector4D
+
+ Returns the QVector4D object formed by dividing all four components of
+ the given \a vector by the given \a divisor.
+
+ \sa QVector4D::operator/=()
+*/
+
+/*!
+ \fn bool qFuzzyCompare(const QVector4D& v1, const QVector4D& v2)
+ \relates QVector4D
+
+ Returns 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 4D vector, dropping the z and w coordinates.
+
+ \sa toVector2DAffine(), toVector3D(), toPoint()
+*/
+QVector2D QVector4D::toVector2D() const
+{
+ return QVector2D(xp, yp, 1);
+}
+
+/*!
+ Returns the 2D vector form of this 4D vector, dividing the x and y
+ coordinates by the w coordinate and dropping the z coordinate.
+ Returns a null vector if w is zero.
+
+ \sa toVector2D(), toVector3DAffine(), toPoint()
+*/
+QVector2D QVector4D::toVector2DAffine() const
+{
+ if (qIsNull(wp))
+ return QVector2D();
+ return QVector2D(xp / wp, yp / wp, 1);
+}
+
+#endif
+
+#ifndef QT_NO_VECTOR3D
+
+/*!
+ Returns the 3D vector form of this 4D vector, dropping the w coordinate.
+
+ \sa toVector3DAffine(), toVector2D(), toPoint()
+*/
+QVector3D QVector4D::toVector3D() const
+{
+ return QVector3D(xp, yp, zp, 1);
+}
+
+/*!
+ Returns the 3D vector form of this 4D vector, dividing the x, y, and
+ z coordinates by the w coordinate. Returns a null vector if w is zero.
+
+ \sa toVector3D(), toVector2DAffine(), toPoint()
+*/
+QVector3D QVector4D::toVector3DAffine() const
+{
+ if (qIsNull(wp))
+ return QVector3D();
+ return QVector3D(xp / wp, yp / wp, zp / wp, 1);
+}
+
+#endif
+
+/*!
+ \fn QPoint QVector4D::toPoint() const
+
+ Returns the QPoint form of this 4D vector. The z and w coordinates
+ are dropped.
+
+ \sa toPointF(), toVector2D()
+*/
+
+/*!
+ \fn QPointF QVector4D::toPointF() const
+
+ Returns the QPointF form of this 4D vector. The z and w coordinates
+ are dropped.
+
+ \sa toPoint(), toVector2D()
+*/
+
+/*!
+ Returns the 4D vector as a QVariant.
+*/
+QVector4D::operator QVariant() const
+{
+ return QVariant(QVariant::Vector4D, this);
+}
+
+#ifndef QT_NO_DEBUG_STREAM
+
+QDebug operator<<(QDebug dbg, const QVector4D &vector)
+{
+ dbg.nospace() << "QVector4D("
+ << vector.x() << ", " << vector.y() << ", "
+ << vector.z() << ", " << vector.w() << ')';
+ return dbg.space();
+}
+
+#endif
+
+#ifndef QT_NO_DATASTREAM
+
+/*!
+ \fn QDataStream &operator<<(QDataStream &stream, const QVector4D &vector)
+ \relates QVector4D
+
+ Writes the given \a vector to the given \a stream and returns a
+ reference to the stream.
+
+ \sa {Format of the QDataStream Operators}
+*/
+
+QDataStream &operator<<(QDataStream &stream, const QVector4D &vector)
+{
+ stream << double(vector.x()) << double(vector.y())
+ << double(vector.z()) << double(vector.w());
+ return stream;
+}
+
+/*!
+ \fn QDataStream &operator>>(QDataStream &stream, QVector4D &vector)
+ \relates QVector4D
+
+ Reads a 4D vector from the given \a stream into the given \a vector
+ and returns a reference to the stream.
+
+ \sa {Format of the QDataStream Operators}
+*/
+
+QDataStream &operator>>(QDataStream &stream, QVector4D &vector)
+{
+ double x, y, z, w;
+ stream >> x;
+ stream >> y;
+ stream >> z;
+ stream >> w;
+ vector.setX(qreal(x));
+ vector.setY(qreal(y));
+ vector.setZ(qreal(z));
+ vector.setW(qreal(w));
+ return stream;
+}
+
+#endif // QT_NO_DATASTREAM
+
+#endif // QT_NO_VECTOR4D
+
+QT_END_NAMESPACE