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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.
+**
+** $TROLLTECH_DUAL_LICENSE$
+**
+****************************************************************************/
+
+#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