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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 $MODULE$ 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 "qfixedpt.h"
-
-QT_BEGIN_NAMESPACE
-
-/*!
- \internal
- Returns the fixed-point square root of \a value.
-*/
-qint64 qt_math3d_fixed_sqrt(qint64 value)
-{
- qint64 result = 0;
- qint64 bit = ((qint64)1) << 62;
- while (bit > value)
- bit >>= 2;
- while (bit != 0) {
- if (value >= (result + bit)) {
- value -= result + bit;
- result += (bit << 1);
- }
- result >>= 1;
- bit >>= 2;
- }
- return result;
-}
-
-/*!
- \class QFixedPt
- \brief The QFixedPt class represents fixed-point numbers within a 32-bit integer with a configurable precision.
-
- The template parameter is the number of bits of precision after
- the decimal point. For example, QFixedPt<5> indicates that there
- are 27 bits before the decimal point, and 5 bits of precision after
- the decimal point.
-*/
-
-/*!
- \fn QFixedPt::QFixedPt()
-
- Constructs a default fixed-point number. The initial value
- is undefined.
-*/
-
-/*!
- \fn QFixedPt::QFixedPt(int value)
-
- Constructs a fixed-point number from the integer \a value.
-*/
-
-/*!
- \fn QFixedPt::QFixedPt(qreal value)
-
- Constructs a fixed-point number from the floating-point \a value.
-*/
-
-/*!
- \fn QFixedPt<PrecBits>& QFixedPt::operator=(int value)
-
- Assigns the integer \a value to this fixed-point variable.
-*/
-
-/*!
- \fn QFixedPt<PrecBits>& QFixedPt::operator=(qreal value)
-
- Assigns the floating-point \a value to this fixed-point variable.
-*/
-
-/*!
- \fn int QFixedPt::bits() const
-
- Returns the raw bits that represent the fixed-point value of this object.
-
- \sa setBits()
-*/
-
-/*!
- \fn void QFixedPt::setBits(int value)
-
- Sets the raw bits that represent the fixed-point value of
- this object to \a value.
-
- \sa bits()
-*/
-
-#if !defined(QT_NO_MEMBER_TEMPLATES) || defined(Q_QDOC)
-
-/*!
- \fn QFixedPt<Prec> QFixedPt::toPrecision() const
-
- Returns this fixed-point number, converted to the new fixed-point
- precision Prec.
-
- \sa qFixedPtToPrecision()
-*/
-
-#endif
-
-/*!
- \fn QFixedPt<Prec> qFixedPtToPrecision(const QFixedPt<PrecBits>& value)
-
- Returns the fixed-point number \a value, converted to the new fixed-point
- precision Prec.
-
- \sa QFixedPt::toPrecision()
-*/
-
-/*!
- \fn QFixedPt<PrecBits>& QFixedPt::operator+=(const QFixedPt<PrecBits>& value)
-
- Adds \a value to this fixed-point number.
-*/
-
-/*!
- \fn QFixedPt<PrecBits>& QFixedPt::operator+=(int value)
-
- Adds an integer \a value to this fixed-point number.
-*/
-
-/*!
- \fn QFixedPt<PrecBits>& QFixedPt::operator+=(qreal value)
-
- Adds a floating-point \a value to this fixed-point number.
-*/
-
-/*!
- \fn QFixedPt<PrecBits>& QFixedPt::operator-=(const QFixedPt<PrecBits>& value)
-
- Subtracts \a value from this fixed-point number.
-*/
-
-/*!
- \fn QFixedPt<PrecBits>& QFixedPt::operator-=(int value)
-
- Subtracts an integer \a value from this fixed-point number.
-*/
-
-/*!
- \fn QFixedPt<PrecBits>& QFixedPt::operator-=(qreal value)
-
- Subtracts a floating-point \a value from this fixed-point number.
-*/
-
-/*!
- \fn QFixedPt<PrecBits>& QFixedPt::operator*=(const QFixedPt<PrecBits>& value)
-
- Multiplies this fixed-point number by \a value.
-*/
-
-/*!
- \fn QFixedPt<PrecBits>& QFixedPt::operator*=(int value)
-
- Multiplies this fixed-point number by an integer \a value.
-*/
-
-/*!
- \fn QFixedPt<PrecBits>& QFixedPt::operator*=(qreal value)
-
- Multiplies this fixed-point number by a floating-point \a value.
-*/
-
-/*!
- \fn QFixedPt<PrecBits>& QFixedPt::operator/=(const QFixedPt<PrecBits>& value)
-
- Divides this fixed-point number by \a value. Division by zero
- will result in zero.
-*/
-
-/*!
- \fn QFixedPt<PrecBits>& QFixedPt::operator/=(int value)
-
- Divides this fixed-point number by an integer \a value. Division
- by zero will result in zero.
-*/
-
-/*!
- \fn QFixedPt<PrecBits>& QFixedPt::operator/=(qreal value)
-
- Divides this fixed-point number by a floating-point \a value. Division
- by zero will result in zero.
-*/
-
-/*!
- \fn QFixedPt<PrecBits>& QFixedPt::operator<<=(int value)
-
- Shifts this fixed-point number left by \a value bits.
-*/
-
-/*!
- \fn QFixedPt<PrecBits>& QFixedPt::operator>>=(int value)
-
- Shifts this fixed-point number right by \a value bits.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> QFixedPt::operator<<(int value) const
-
- Returns the result of shifting this fixed-point number
- left by \a value bits.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> QFixedPt::operator>>(int value) const
-
- Returns the result of shifting this fixed-point number
- right by \a value bits.
-*/
-
-/*!
- \fn bool QFixedPt::operator==(const QFixedPt<PrecBits>& value) const
-
- Returns true if this fixed-point number is equal to \a value;
- false otherwise.
-*/
-
-/*!
- \fn bool operator==(const QFixedPt<PrecBits>& v1, int v2)
- \relates QFixedPt
-
- Returns true if \a v1 is equal to \a v2; false otherwise.
-*/
-
-/*!
- \fn bool operator==(int v1, const QFixedPt<PrecBits>& v2)
- \relates QFixedPt
-
- Returns true if \a v1 is equal to \a v2; false otherwise.
-*/
-
-/*!
- \fn bool operator==(const QFixedPt<PrecBits>& v1, qreal v2)
- \relates QFixedPt
-
- Returns true if \a v1 is equal to \a v2; false otherwise.
-*/
-
-/*!
- \fn bool operator==(qreal v1, const QFixedPt<PrecBits>& v2)
- \relates QFixedPt
-
- Returns true if \a v1 is equal to \a v2; false otherwise.
-*/
-
-/*!
- \fn bool QFixedPt::operator!=(const QFixedPt<PrecBits>& value) const
-
- Returns true if this fixed-point number is not equal to \a value;
- false otherwise.
-*/
-
-/*!
- \fn bool operator!=(const QFixedPt<PrecBits>& v1, int v2)
- \relates QFixedPt
-
- Returns true if \a v1 is not equal to \a v2; false otherwise.
-*/
-
-/*!
- \fn bool operator!=(int v1, const QFixedPt<PrecBits>& v2)
- \relates QFixedPt
-
- Returns true if \a v1 is not equal to \a v2; false otherwise.
-*/
-
-/*!
- \fn bool operator!=(const QFixedPt<PrecBits>& v1, qreal v2)
- \relates QFixedPt
-
- Returns true if \a v1 is not equal to \a v2; false otherwise.
-*/
-
-/*!
- \fn bool operator!=(qreal v1, const QFixedPt<PrecBits>& v2)
- \relates QFixedPt
-
- Returns true if \a v1 is not equal to \a v2; false otherwise.
-*/
-
-/*!
- \fn bool QFixedPt::operator<=(const QFixedPt<PrecBits>& value) const
-
- Returns true if this fixed-point number is less than or equal to
- \a value; false otherwise.
-*/
-
-/*!
- \fn bool operator<=(const QFixedPt<PrecBits>& v1, int v2)
- \relates QFixedPt
-
- Returns true if \a v1 is less than or equal to \a v2; false otherwise.
-*/
-
-/*!
- \fn bool operator<=(int v1, const QFixedPt<PrecBits>& v2)
- \relates QFixedPt
-
- Returns true if \a v1 is less than or equal to \a v2; false otherwise.
-*/
-
-/*!
- \fn bool operator<=(const QFixedPt<PrecBits>& v1, qreal v2)
- \relates QFixedPt
-
- Returns true if \a v1 is less than or equal to \a v2; false otherwise.
-*/
-
-/*!
- \fn bool operator<=(qreal v1, const QFixedPt<PrecBits>& v2)
- \relates QFixedPt
-
- Returns true if \a v1 is less than or equal to \a v2; false otherwise.
-*/
-
-/*!
- \fn bool QFixedPt::operator<(const QFixedPt<PrecBits>& value) const
-
- Returns true if this fixed-point number is less than \a value;
- false otherwise.
-*/
-
-/*!
- \fn bool operator<(const QFixedPt<PrecBits>& v1, int v2)
- \relates QFixedPt
-
- Returns true if \a v1 is less than \a v2; false otherwise.
-*/
-
-/*!
- \fn bool operator<(int v1, const QFixedPt<PrecBits>& v2)
- \relates QFixedPt
-
- Returns true if \a v1 is less than \a v2; false otherwise.
-*/
-
-/*!
- \fn bool operator<(const QFixedPt<PrecBits>& v1, qreal v2)
- \relates QFixedPt
-
- Returns true if \a v1 is less than \a v2; false otherwise.
-*/
-
-/*!
- \fn bool operator<(qreal v1, const QFixedPt<PrecBits>& v2)
- \relates QFixedPt
-
- Returns true if \a v1 is less than \a v2; false otherwise.
-*/
-
-/*!
- \fn bool QFixedPt::operator>=(const QFixedPt<PrecBits>& value) const
-
- Returns true if this fixed-point number is greater than or equal to
- \a value; false otherwise.
-*/
-
-/*!
- \fn bool operator>=(const QFixedPt<PrecBits>& v1, int v2)
- \relates QFixedPt
-
- Returns true if \a v1 is greater than or equal to \a v2; false otherwise.
-*/
-
-/*!
- \fn bool operator>=(int v1, const QFixedPt<PrecBits>& v2)
- \relates QFixedPt
-
- Returns true if \a v1 is greater than or equal to \a v2; false otherwise.
-*/
-
-/*!
- \fn bool operator>=(const QFixedPt<PrecBits>& v1, qreal v2)
- \relates QFixedPt
-
- Returns true if \a v1 is greater than or equal to \a v2; false otherwise.
-*/
-
-/*!
- \fn bool operator>=(qreal v1, const QFixedPt<PrecBits>& v2)
- \relates QFixedPt
-
- Returns true if \a v1 is greater than or equal to \a v2; false otherwise.
-*/
-
-/*!
- \fn bool QFixedPt::operator>(const QFixedPt<PrecBits>& value) const
-
- Returns true if this fixed-point number is greater than \a value;
- false otherwise.
-*/
-
-/*!
- \fn bool operator>(const QFixedPt<PrecBits>& v1, int v2)
- \relates QFixedPt
-
- Returns true if \a v1 is greater than \a v2; false otherwise.
-*/
-
-/*!
- \fn bool operator>(int v1, const QFixedPt<PrecBits>& v2)
- \relates QFixedPt
-
- Returns true if \a v1 is greater than \a v2; false otherwise.
-*/
-
-/*!
- \fn bool operator>(const QFixedPt<PrecBits>& v1, qreal v2)
- \relates QFixedPt
-
- Returns true if \a v1 is greater than \a v2; false otherwise.
-*/
-
-/*!
- \fn bool operator>(qreal v1, const QFixedPt<PrecBits>& v2)
- \relates QFixedPt
-
- Returns true if \a v1 is greater than \a v2; false otherwise.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> QFixedPt::operator+(const QFixedPt<PrecBits>& value) const
-
- Returns the result of adding this fixed-point number and \a value.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> QFixedPt::operator+(int value) const
-
- Returns the result of adding this fixed-point number and \a value.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> QFixedPt::operator+(qreal value) const
-
- Returns the result of adding this fixed-point number and \a value.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> operator+(int v1, const QFixedPt<PrecBits>& v2)
- \relates QFixedPt
-
- Returns the result of adding \a v1 and \a v2.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> operator+(qreal v1, const QFixedPt<PrecBits>& v2)
- \relates QFixedPt
-
- Returns the result of adding \a v1 and \a v2.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> QFixedPt::operator-(const QFixedPt<PrecBits>& value) const
-
- Returns the result of subtracting \a value from this fixed-point number.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> QFixedPt::operator-(int value) const
-
- Returns the result of subtracting \a value from this fixed-point number.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> QFixedPt::operator-(qreal value) const
-
- Returns the result of subtracting \a value from this fixed-point number.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> operator-(int v1, const QFixedPt<PrecBits>& v2)
- \relates QFixedPt
-
- Returns the result of subtracting \a v2 from \a v1.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> operator-(qreal v1, const QFixedPt<PrecBits>& v2)
- \relates QFixedPt
-
- Returns the result of subtracting \a v2 from \a v1.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> QFixedPt::operator*(const QFixedPt<PrecBits>& value) const
-
- Returns the result of multiplying this fixed-point number by \a value.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> QFixedPt::operator*(int value) const
-
- Returns the result of multiplying this fixed-point number by \a value.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> QFixedPt::operator*(qreal value) const
-
- Returns the result of multiplying this fixed-point number by \a value.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> operator*(int v1, const QFixedPt<PrecBits>& v2)
- \relates QFixedPt
-
- Returns the result of multiplying \a v1 by \a v2.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> operator*(qreal v1, const QFixedPt<PrecBits>& v2)
- \relates QFixedPt
-
- Returns the result of multiplying \a v1 by \a v2.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> QFixedPt::operator/(const QFixedPt<PrecBits>& value) const
-
- Returns the result of dividing this fixed-point number by \a value.
- Division by zero will result in zero.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> QFixedPt::operator/(int value) const
-
- Returns the result of dividing this fixed-point number by \a value.
- Division by zero will result in zero.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> QFixedPt::operator/(qreal value) const
-
- Returns the result of dividing this fixed-point number by \a value.
- Division by zero will result in zero.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> operator/(int v1, const QFixedPt<PrecBits>& v2)
- \relates QFixedPt
-
- Returns the result of dividing \a v1 by \a v2. Division by zero will
- result in zero.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> operator/(qreal v1, const QFixedPt<PrecBits>& v2)
- \relates QFixedPt
-
- Returns the result of dividing \a v1 by \a v2. Division by zero will
- result in zero.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> QFixedPt::operator-() const
-
- Returns the negation of this fixed-point number.
-*/
-
-/*!
- \fn QFixedPt<PrecBits> QFixedPt::sqrt() const
-
- Returns the square root of this fixed-point number.
-
- \sa sqrtF()
-*/
-
-/*!
- \fn qreal QFixedPt::sqrtF() const
-
- Return the square root of this fixed-point number as a
- floating-point value.
-
- \sa sqrt()
-*/
-
-/*!
- \fn QFixedPt<PrecBits> QFixedPt::round() const
-
- Returns this fixed-point number, rounded to the nearest integer.
-
- \sa floor(), ceil(), truncate()
-*/
-
-/*!
- \fn QFixedPt<PrecBits> QFixedPt::floor() const;
-
- Returns the largest integer that is less than or equal to
- this fixed-point number.
-
- \sa round(), ceil(), truncate()
-*/
-
-/*!
- \fn QFixedPt<PrecBits> QFixedPt::ceil() const
-
- Returns the smallest integer that is greater than or equal to
- this fixed-point number.
-
- \sa round(), floor(), truncate()
-*/
-
-/*!
- \fn int QFixedPt::truncate() const
-
- Returns this fixed-point number with the bits after the
- decimal point truncated.
-
- \sa round(), floor(), ceil()
-*/
-
-/*!
- \fn int QFixedPt::toInt() const
-
- Returns this fixed-point number, rounded to the nearest integer.
-
- \sa toReal()
-*/
-
-/*!
- \fn qreal QFixedPt::toReal() const
-
- Returns this fixed-point number as a floating-point value.
-
- \sa toInt()
-*/
-
-/*!
- \fn int qCeil(const QFixedPt<PrecBits>& value)
- \relates QFixedPt
-
- Returns the smallest integer that is greater than or equal to
- \a value.
-
- \sa qFloor(), qRound(), QFixedPt::ceil()
-*/
-
-/*!
- \fn int qFloor(const QFixedPt<PrecBits>& value)
- \relates QFixedPt
-
- Returns the largest integer that is less than or equal to
- \a value.
-
- \sa qCeil(), qRound(), QFixedPt::floor()
-*/
-
-/*!
- \fn int qRound(const QFixedPt<PrecBits>& value)
- \relates QFixedPt
-
- Returns \a value, rounded to the nearest integer.
-
- \sa qCeil(), qFloor(), QFixedPt::round()
-*/
-
-/*!
- \fn bool qFuzzyCompare(const QFixedPt<PrecBits>& v1, const QFixedPt<PrecBits>& v2, int compareBits)
- \relates QFixedPt
-
- Returns true if \a v1 is almost equal to \a v2; false otherwise.
- The \a compareBits parameter specifies the number of bits of precision
- that should be considered relevant when performing the comparison.
- By default, \a compareBits is PrecBits / 4.
-*/
-
-/*!
- \fn bool qIsNull(const QFixedPt<PrecBits>& v)
- \relates QFixedPt
-
- Returns true if \a v is zero; false otherwise.
-*/
-
-QT_END_NAMESPACE