qabstractfloat.cpp

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template <const bool isDouble>
AbstractFloat<isDouble>::AbstractFloat(const xsDouble num) : m_value(num)
{
}

template <const bool isDouble>
Numeric::Ptr AbstractFloat<isDouble>::fromValue(const xsDouble num)
{
    return Numeric::Ptr(new AbstractFloat<isDouble>(num));
}

template <const bool isDouble>
AtomicValue::Ptr AbstractFloat<isDouble>::fromLexical(const QString &strNumeric)
{
    /* QString::toDouble() handles the whitespace facet. */

    if(strNumeric == QLatin1String("NaN"))
        return isDouble ? CommonValues::DoubleNaN : CommonValues::FloatNaN;
    else if(strNumeric == QLatin1String("-INF"))
        return isDouble ? CommonValues::NegativeInfDouble : CommonValues::NegativeInfFloat;
    else if(strNumeric == QLatin1String("INF"))
        return isDouble ? CommonValues::InfDouble : CommonValues::InfFloat;

    /* QString::toDouble() supports any case as well as +INF, but we don't. */
    const QString toUpper(strNumeric.toUpper());
    if(toUpper == QLatin1String("-INF") ||
       toUpper == QLatin1String("INF")  ||
       toUpper == QLatin1String("+INF") ||
       toUpper == QLatin1String("NAN"))
    {
        return ValidationError::createError();
    }

    bool conversionOk = false;
    const xsDouble num = strNumeric.toDouble(&conversionOk);

    if(conversionOk)
        return AtomicValue::Ptr(new AbstractFloat<isDouble>(num));
    else
        return ValidationError::createError();
}

template <const bool isDouble>
int AbstractFloat<isDouble>::internalSignbit(const xsDouble num)
{
    Q_ASSERT_X(sizeof(xsDouble) == 8 || sizeof(xsDouble) == 4, Q_FUNC_INFO,
               "This implementation of signbit assumes xsDouble, that is qreal, is 64 bits large.");

    union
    {
        xsDouble asDouble;
        qint64 asInt;
    } value;

    value.asDouble = num;

    /* The highest bit, the 64'th for those who have 64bit floats, is the sign bit. So we pull it down until that bit is the
     * only one left. */
    if(sizeof(xsDouble) == 8)
        return value.asInt >> 63;
    else
        return value.asInt >> 31;
}

template <const bool isDouble>
bool AbstractFloat<isDouble>::isEqual(const xsDouble a, const xsDouble b)
{
    if(qIsInf(a))
        return qIsInf(b) && internalSignbit(a) == internalSignbit(b);
    else if(qIsInf(b))
        return qIsInf(a) && internalSignbit(a) == internalSignbit(b);
    else
    {
        /* Preferably, we would use std::numeric_limits<xsDouble>::espilon(), but
         * we cannot since we cannot depend on the STL. The small xs:double value below,
         * was extracted by printing the std::numeric_limits<xsDouble>::epsilon() using
         * gdb. */
        return qAbs(a - b) <= 2.2204460492503131e-16 * qAbs(a);
    }
}

template <const bool isDouble>
bool AbstractFloat<isDouble>::isZero() const
{
    return AbstractFloat<isDouble>::isEqual(m_value, 0.0);
}

template <const bool isDouble>
bool AbstractFloat<isDouble>::evaluateEBV(const QExplicitlySharedDataPointer<DynamicContext> &) const
{
    if(isZero() || qIsNaN(m_value))
        return false;
    else
        return true;
}

template <const bool isDouble>
QString AbstractFloat<isDouble>::stringValue() const
{
    if(qIsNaN(m_value))
        return QLatin1String("NaN");
    else if(qIsInf(m_value))
        return internalSignbit(m_value) == 0 ? QLatin1String("INF") : QLatin1String("-INF");
    /*
     * If SV has an absolute value that is greater than or equal to 0.000001
     * (one millionth) and less than 1000000 (one million),
     * then the value is converted to an xs:decimal and the resulting xs:decimal
     * is converted to an xs:string according to the rules above.
     */
    else if(0.000001 <= qAbs(m_value) && qAbs(m_value) < 1000000.0)
        return Decimal::toString(toDecimal());
    /*
     * If SV has the value positive or negative zero, TV is "0" or "-0" respectively.
     */
    else if(isZero())
        return internalSignbit(m_value) == 0 ? QLatin1String("0") : QLatin1String("-0");
    else
    {
        /*
         * Besides these special values, the general form of the canonical form for
         * xs:float and xs:double is a mantissa, which is a xs:decimal, followed by
         * the letter "E", followed by an exponent which is an xs:integer.
         */
        int sign;
        int decimalPoint;
        char *result = 0;
        static_cast<void>(qdtoa(m_value, -1, 0, &decimalPoint, &sign, 0, &result));

        /* If the copy constructor is used instead of QString::operator=(),
         * it doesn't compile. I have no idea why. */
        const QString qret(QString::fromLatin1(result));

        /* We use free() instead of delete here, because qlocale.cpp use malloc(). Spotted
         * by valgrind. */
        free(result);

        QString valueAsString;

        if(sign)
            valueAsString += QLatin1Char('-');

        valueAsString += qret.at(0);
        valueAsString += QLatin1Char('.');

        if(1 == qret.size())
            valueAsString += QLatin1Char('0');
        else
            valueAsString += qret.mid(1);

        valueAsString += QLatin1Char('E');
        decimalPoint--;
        valueAsString += QString::number(decimalPoint);
        return valueAsString;
    }
}

template <const bool isDouble>
xsDouble AbstractFloat<isDouble>::toDouble() const
{
    return m_value;
}

template <const bool isDouble>
xsInteger AbstractFloat<isDouble>::toInteger() const
{
    return static_cast<xsInteger>(m_value);
}

template <const bool isDouble>
xsFloat AbstractFloat<isDouble>::toFloat() const
{
    /* No cast, since xsFloat and xsDouble are typedef'ed with the same type. */
    return m_value;
}

template <const bool isDouble>
xsDecimal AbstractFloat<isDouble>::toDecimal() const
{
    return static_cast<xsDecimal>(m_value);
}

template <const bool isDouble>
Numeric::Ptr AbstractFloat<isDouble>::round() const
{
    return AbstractFloat<isDouble>::fromValue(static_cast<xsDouble>(roundFloat(m_value)));
}

template <const bool isDouble>
Numeric::Ptr AbstractFloat<isDouble>::roundHalfToEven(const xsInteger precision) const
{
    if(isNaN() || isInf() || isZero())
        return Numeric::Ptr(const_cast<AbstractFloat<isDouble> *>(this));
    else
    {
        /* The cast to double helps finding the correct pow() version on irix-cc. */
        const xsDouble powered = pow(double(10), double(precision));
        xsDouble val = powered * m_value;
        bool isHalf = false;

        if(val - 0.5 == ::floor(val))
            isHalf = true;

        val = m_value * powered + 0.5;
        val = ::floor(val);

        if(isHalf /*&& isOdd(val) or? TODO */)
            val -= 1;

        val /= powered;

        return fromValue(val);
    }
}

template <const bool isDouble>
Numeric::Ptr AbstractFloat<isDouble>::floor() const
{
    return AbstractFloat<isDouble>::fromValue(static_cast<xsDouble>(::floor(m_value)));
}

template <const bool isDouble>
Numeric::Ptr AbstractFloat<isDouble>::ceiling() const
{
    return AbstractFloat<isDouble>::fromValue(static_cast<xsDouble>(ceil(m_value)));
}

template <const bool isDouble>
Numeric::Ptr AbstractFloat<isDouble>::abs() const
{
    /* We must use fabs() instead of qAbs() because qAbs()
     * doesn't return 0 for -0.0. */
    return AbstractFloat<isDouble>::fromValue(static_cast<xsDouble>(fabs(m_value)));
}

template <const bool isDouble>
bool AbstractFloat<isDouble>::isNaN() const
{
    return qIsNaN(m_value);
}

template <const bool isDouble>
bool AbstractFloat<isDouble>::isInf() const
{
    return qIsInf(m_value);
}

template <const bool isDouble>
ItemType::Ptr AbstractFloat<isDouble>::type() const
{
    return isDouble ? BuiltinTypes::xsDouble : BuiltinTypes::xsFloat;
}

template <const bool isDouble>
Item AbstractFloat<isDouble>::toNegated() const
{
    return fromValue(-m_value).data();
}

template <const bool isDouble>
bool AbstractFloat<isDouble>::isSigned() const
{
    Q_ASSERT_X(false, Q_FUNC_INFO,
               "It makes no sense to call this function, see Numeric::isSigned().");
    return false;
}

template <const bool isDouble>
qulonglong AbstractFloat<isDouble>::toUnsignedInteger() const
{
    Q_ASSERT_X(false, Q_FUNC_INFO,
               "It makes no sense to call this function, see Numeric::toUnsignedInteger().");
    return 0;
}