FCL/sf/mw/qt: comparison src/gui/math3d/qvector3d.cpp

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+/****************************************************************************
+**
+** 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 "qvector3d.h"
+#include "qvector2d.h"
+#include "qvector4d.h"
+#include <QtCore/qmath.h>
+#include <QtCore/qvariant.h>
+#include <QtCore/qdebug.h>
+QT_BEGIN_NAMESPACE
+#ifndef QT_NO_VECTOR3D
+/*!
+\class QVector3D
+\brief The QVector3D class represents a vector or vertex in 3D space.
+\since 4.6
+\ingroup painting-3D
+Vectors are one of the main building blocks of 3D representation and
+drawing.  They consist of three coordinates, traditionally called
+x, y, and z.
+The QVector3D class can also be used to represent vertices in 3D space.
+We therefore do not need to provide a separate vertex class.
+\sa QVector2D, QVector4D, QQuaternion
+*/
+/*!
+\fn QVector3D::QVector3D()
+Constructs a null vector, i.e. with coordinates (0, 0, 0).
+*/
+/*!
+\fn QVector3D::QVector3D(qreal xpos, qreal ypos, qreal zpos)
+Constructs a vector with coordinates (\a xpos, \a ypos, \a zpos).
+*/
+/*!
+\fn QVector3D::QVector3D(const QPoint& point)
+Constructs a vector with x and y coordinates from a 2D \a point, and a
+z coordinate of 0.
+*/
+/*!
+\fn QVector3D::QVector3D(const QPointF& point)
+Constructs a vector with x and y coordinates from a 2D \a point, and a
+z coordinate of 0.
+*/
+#ifndef QT_NO_VECTOR2D
+/*!
+Constructs a 3D vector from the specified 2D \a vector.  The z
+coordinate is set to zero.
+\sa toVector2D()
+*/
+QVector3D::QVector3D(const QVector2D& vector)
+{
+xp = vector.xp;
+yp = vector.yp;
+zp = 0.0f;
+}
+/*!
+Constructs a 3D vector from the specified 2D \a vector.  The z
+coordinate is set to \a zpos.
+\sa toVector2D()
+*/
+QVector3D::QVector3D(const QVector2D& vector, qreal zpos)
+{
+xp = vector.xp;
+yp = vector.yp;
+zp = zpos;
+}
+#endif
+#ifndef QT_NO_VECTOR4D
+/*!
+Constructs a 3D vector from the specified 4D \a vector.  The w
+coordinate is dropped.
+\sa toVector4D()
+*/
+QVector3D::QVector3D(const QVector4D& vector)
+{
+xp = vector.xp;
+yp = vector.yp;
+zp = vector.zp;
+}
+#endif
+/*!
+\fn bool QVector3D::isNull() const
+Returns true if the x, y, and z coordinates are set to 0.0,
+otherwise returns false.
+*/
+/*!
+\fn qreal QVector3D::x() const
+Returns the x coordinate of this point.
+\sa setX(), y(), z()
+*/
+/*!
+\fn qreal QVector3D::y() const
+Returns the y coordinate of this point.
+\sa setY(), x(), z()
+*/
+/*!
+\fn qreal QVector3D::z() const
+Returns the z coordinate of this point.
+\sa setZ(), x(), y()
+*/
+/*!
+\fn void QVector3D::setX(qreal x)
+Sets the x coordinate of this point to the given \a x coordinate.
+\sa x(), setY(), setZ()
+*/
+/*!
+\fn void QVector3D::setY(qreal y)
+Sets the y coordinate of this point to the given \a y coordinate.
+\sa y(), setX(), setZ()
+*/
+/*!
+\fn void QVector3D::setZ(qreal z)
+Sets the z coordinate of this point to the given \a z coordinate.
+\sa z(), setX(), setY()
+*/
+/*!
+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()
+*/
+QVector3D QVector3D::normalized() const
+{
+// Need some extra precision if the length is very small.
+double len = double(xp) * double(xp) +
+double(yp) * double(yp) +
+double(zp) * double(zp);
+if (qFuzzyIsNull(len - 1.0f))
+return *this;
+else if (!qFuzzyIsNull(len))
+return *this / qSqrt(len);
+else
+return QVector3D();
+}
+/*!
+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 QVector3D::normalize()
+{
+// Need some extra precision if the length is very small.
+double len = double(xp) * double(xp) +
+double(yp) * double(yp) +
+double(zp) * double(zp);
+if (qFuzzyIsNull(len - 1.0f) || qFuzzyIsNull(len))
+return;
+len = qSqrt(len);
+xp /= len;
+yp /= len;
+zp /= len;
+}
+/*!
+\fn QVector3D &QVector3D::operator+=(const QVector3D &vector)
+Adds the given \a vector to this vector and returns a reference to
+this vector.
+\sa operator-=()
+*/
+/*!
+\fn QVector3D &QVector3D::operator-=(const QVector3D &vector)
+Subtracts the given \a vector from this vector and returns a reference to
+this vector.
+\sa operator+=()
+*/
+/*!
+\fn QVector3D &QVector3D::operator*=(qreal factor)
+Multiplies this vector's coordinates by the given \a factor, and
+returns a reference to this vector.
+\sa operator/=()
+*/
+/*!
+\fn QVector3D &QVector3D::operator*=(const QVector3D& vector)
+\overload
+Multiplies the components of this vector by the corresponding
+components in \a vector.
+Note: this is not the same as the crossProduct() of this
+vector and \a vector.
+\sa crossProduct()
+*/
+/*!
+\fn QVector3D &QVector3D::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 QVector3D::dotProduct(const QVector3D& v1, const QVector3D& v2)
+{
+return v1.xp * v2.xp + v1.yp * v2.yp + v1.zp * v2.zp;
+}
+/*!
+Returns the cross-product of vectors \a v1 and \a v2, which corresponds
+to the normal vector of a plane defined by \a v1 and \a v2.
+\sa normal()
+*/
+QVector3D QVector3D::crossProduct(const QVector3D& v1, const QVector3D& v2)
+{
+return QVector3D(v1.yp * v2.zp - v1.zp * v2.yp,
+v1.zp * v2.xp - v1.xp * v2.zp,
+v1.xp * v2.yp - v1.yp * v2.xp, 1);
+}
+/*!
+Returns the normal vector of a plane defined by vectors \a v1 and \a v2,
+normalized to be a unit vector.
+Use crossProduct() to compute the cross-product of \a v1 and \a v2 if you
+do not need the result to be normalized to a unit vector.
+\sa crossProduct(), distanceToPlane()
+*/
+QVector3D QVector3D::normal(const QVector3D& v1, const QVector3D& v2)
+{
+return crossProduct(v1, v2).normalized();
+}
+/*!
+\overload
+Returns the normal vector of a plane defined by vectors
+\a v2 - \a v1 and \a v3 - \a v1, normalized to be a unit vector.
+Use crossProduct() to compute the cross-product of \a v2 - \a v1 and
+\a v3 - \a v1 if you do not need the result to be normalized to a
+unit vector.
+\sa crossProduct(), distanceToPlane()
+*/
+QVector3D QVector3D::normal
+(const QVector3D& v1, const QVector3D& v2, const QVector3D& v3)
+{
+return crossProduct((v2 - v1), (v3 - v1)).normalized();
+}
+/*!
+Returns the distance from this vertex to a plane defined by
+the vertex \a plane and a \a normal unit vector.  The \a normal
+parameter is assumed to have been normalized to a unit vector.
+The return value will be negative if the vertex is below the plane,
+or zero if it is on the plane.
+\sa normal(), distanceToLine()
+*/
+qreal QVector3D::distanceToPlane
+(const QVector3D& plane, const QVector3D& normal) const
+{
+return dotProduct(*this - plane, normal);
+}
+/*!
+\overload
+Returns the distance from this vertex a plane defined by
+the vertices \a plane1, \a plane2 and \a plane3.
+The return value will be negative if the vertex is below the plane,
+or zero if it is on the plane.
+The two vectors that define the plane are \a plane2 - \a plane1
+and \a plane3 - \a plane1.
+\sa normal(), distanceToLine()
+*/
+qreal QVector3D::distanceToPlane
+(const QVector3D& plane1, const QVector3D& plane2, const QVector3D& plane3) const
+{
+QVector3D n = normal(plane2 - plane1, plane3 - plane1);
+return dotProduct(*this - plane1, n);
+}
+/*!
+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()
+*/
+qreal QVector3D::distanceToLine
+(const QVector3D& point, const QVector3D& direction) const
+{
+if (direction.isNull())
+return (*this - point).length();
+QVector3D p = point + dotProduct(*this - point, direction) * direction;
+return (*this - p).length();
+}
+/*!
+\fn bool operator==(const QVector3D &v1, const QVector3D &v2)
+\relates QVector3D
+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 QVector3D &v1, const QVector3D &v2)
+\relates QVector3D
+Returns true if \a v1 is not equal to \a v2; otherwise returns 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*(qreal 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, qreal 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, qreal 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 bool qFuzzyCompare(const QVector3D& v1, const QVector3D& v2)
+\relates QVector3D
+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 3D vector, dropping the z coordinate.
+\sa toVector4D(), toPoint()
+*/
+QVector2D QVector3D::toVector2D() const
+{
+return QVector2D(xp, yp, 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(xp, yp, zp, 0.0f, 1);
+}
+#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()
+*/
+qreal QVector3D::length() const
+{
+return qSqrt(xp * xp + yp * yp + zp * zp);
+}
+/*!
+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 QVector3D::lengthSquared() const
+{
+return xp * xp + yp * yp + zp * zp;
+}
+#ifndef QT_NO_DEBUG_STREAM
+QDebug operator<<(QDebug dbg, const QVector3D &vector)
+{
+dbg.nospace() << "QVector3D("
+<< vector.x() << ", " << vector.y() << ", " << vector.z() << ')';
+return dbg.space();
+}
+#endif
+#ifndef QT_NO_DATASTREAM
+/*!
+\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 {Format of the QDataStream Operators}
+*/
+QDataStream &operator<<(QDataStream &stream, const QVector3D &vector)
+{
+stream << double(vector.x()) << double(vector.y())
+<< double(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 {Format of the QDataStream Operators}
+*/
+QDataStream &operator>>(QDataStream &stream, QVector3D &vector)
+{
+double x, y, z;
+stream >> x;
+stream >> y;
+stream >> z;
+vector.setX(qreal(x));
+vector.setY(qreal(y));
+vector.setZ(qreal(z));
+return stream;
+}
+#endif // QT_NO_DATASTREAM
+#endif // QT_NO_VECTOR3D
+QT_END_NAMESPACE

changeset 0	1918ee327afb
child 4	3b1da2848fc7