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Diffstat (limited to 'src/gui/math3d/qvector4d.cpp')
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diff --git a/src/gui/math3d/qvector4d.cpp b/src/gui/math3d/qvector4d.cpp new file mode 100644 index 0000000..1239df0 --- /dev/null +++ b/src/gui/math3d/qvector4d.cpp @@ -0,0 +1,491 @@ +/**************************************************************************** +** +** Copyright (C) 2009 Nokia Corporation and/or its subsidiary(-ies). +** Contact: Qt Software Information (qt-info@nokia.com) +** +** This file is part of the $MODULE$ of the Qt Toolkit. +** +** $TROLLTECH_DUAL_LICENSE$ +** +****************************************************************************/ + +#include "qvector4d.h" +#include "qvector3d.h" +#include "qvector2d.h" +#include "qmath3dutil_p.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 + + The QVector4D class can also be used to represent vertices in 4D space. + We therefore do not need to provide a separate vertex class. + + The coordinates are stored internally using the most efficient + representation for the GL rendering engine, which will be either + floating-point or fixed-point. + + \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(int xpos, int ypos, int zpos, int 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 qvtsqrt64(qvtmul64(xp, xp) + qvtmul64(yp, yp) + + qvtmul64(zp, zp) + qvtmul64(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 qvtdot64(qvtmul64(xp, xp) + qvtmul64(yp, yp) + + qvtmul64(zp, zp) + qvtmul64(wp, wp)); +} + +/*! + Returns the normalized unit vector form of this vector. If this vector + is not null, the returned vector is guaranteed to be 1.0 in length. + If this vector is null, then a null vector is returned. + + \sa length(), normalize() +*/ +QVector4D QVector4D::normalized() const +{ + qreal len = length(); + if (!qIsNull(len)) + return *this / len; + else + return QVector4D(); +} + +/*! + Normalizes the currect vector in place. Nothing happens if this + vector is a null vector. + + \sa length(), normalized() +*/ +void QVector4D::normalize() +{ + qreal len = length(); + if (qIsNull(len)) + return; + + 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 qvtdot64(qvtmul64(v1.xp, v2.xp) + qvtmul64(v1.yp, v2.yp) + + qvtmul64(v1.zp, v2.zp) + qvtmul64(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. + + \sa toPointF(), toVector2D() +*/ + +/*! + \fn QPointF QVector4D::toPointF() const + + Returns the QPointF form of this 4D vector. + + \sa toPoint(), toVector2D() +*/ + +#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 + +#endif + +QT_END_NAMESPACE |