| 1 | /**************************************************************************** | 
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| 2 | ** | 
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| 3 | ** Copyright (C) 2009 Nokia Corporation and/or its subsidiary(-ies). | 
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| 4 | ** Contact: Qt Software Information (qt-info@nokia.com) | 
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| 5 | ** | 
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| 6 | ** This file is part of the QtXmlPatterns module of the Qt Toolkit. | 
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| 7 | ** | 
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| 8 | ** $QT_BEGIN_LICENSE:LGPL$ | 
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| 9 | ** Commercial Usage | 
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| 10 | ** Licensees holding valid Qt Commercial licenses may use this file in | 
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| 11 | ** accordance with the Qt Commercial License Agreement provided with the | 
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| 12 | ** Software or, alternatively, in accordance with the terms contained in | 
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| 13 | ** a written agreement between you and Nokia. | 
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| 14 | ** | 
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| 15 | ** GNU Lesser General Public License Usage | 
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| 16 | ** Alternatively, this file may be used under the terms of the GNU Lesser | 
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| 17 | ** General Public License version 2.1 as published by the Free Software | 
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| 18 | ** Foundation and appearing in the file LICENSE.LGPL included in the | 
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| 19 | ** packaging of this file.  Please review the following information to | 
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| 20 | ** ensure the GNU Lesser General Public License version 2.1 requirements | 
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| 21 | ** will be met: http://www.gnu.org/licenses/old-licenses/lgpl-2.1.html. | 
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| 22 | ** | 
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| 23 | ** In addition, as a special exception, Nokia gives you certain | 
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| 24 | ** additional rights. These rights are described in the Nokia Qt LGPL | 
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| 25 | ** Exception version 1.0, included in the file LGPL_EXCEPTION.txt in this | 
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| 26 | ** package. | 
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| 27 | ** | 
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| 28 | ** GNU General Public License Usage | 
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| 29 | ** Alternatively, this file may be used under the terms of the GNU | 
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| 30 | ** General Public License version 3.0 as published by the Free Software | 
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| 31 | ** Foundation and appearing in the file LICENSE.GPL included in the | 
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| 32 | ** packaging of this file.  Please review the following information to | 
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| 33 | ** ensure the GNU General Public License version 3.0 requirements will be | 
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| 34 | ** met: http://www.gnu.org/copyleft/gpl.html. | 
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| 35 | ** | 
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| 36 | ** If you are unsure which license is appropriate for your use, please | 
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| 37 | ** contact the sales department at qt-sales@nokia.com. | 
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| 38 | ** $QT_END_LICENSE$ | 
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| 39 | ** | 
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| 40 | ****************************************************************************/ | 
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| 41 |  | 
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| 42 | /** | 
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| 43 | * @file | 
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| 44 | * @short This file is included by qabstractfloat_p.h. | 
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| 45 | * If you need includes in this file, put them in qabstractfloat_p.h, outside of the namespace. | 
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| 46 | */ | 
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| 47 |  | 
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| 48 | template <const bool isDouble> | 
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| 49 | AbstractFloat<isDouble>::AbstractFloat(const xsDouble num) : m_value(num) | 
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| 50 | { | 
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| 51 | } | 
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| 52 |  | 
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| 53 | template <const bool isDouble> | 
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| 54 | Numeric::Ptr AbstractFloat<isDouble>::fromValue(const xsDouble num) | 
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| 55 | { | 
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| 56 | return Numeric::Ptr(new AbstractFloat<isDouble>(num)); | 
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| 57 | } | 
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| 58 |  | 
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| 59 | template <const bool isDouble> | 
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| 60 | AtomicValue::Ptr AbstractFloat<isDouble>::fromLexical(const QString &strNumeric) | 
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| 61 | { | 
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| 62 | /* QString::toDouble() handles the whitespace facet. */ | 
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| 63 |  | 
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| 64 | if(strNumeric == QLatin1String("NaN")) | 
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| 65 | return isDouble ? CommonValues::DoubleNaN : CommonValues::FloatNaN; | 
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| 66 | else if(strNumeric == QLatin1String("-INF")) | 
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| 67 | return isDouble ? CommonValues::NegativeInfDouble : CommonValues::NegativeInfFloat; | 
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| 68 | else if(strNumeric == QLatin1String("INF")) | 
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| 69 | return isDouble ? CommonValues::InfDouble : CommonValues::InfFloat; | 
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| 70 |  | 
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| 71 | /* QString::toDouble() supports any case as well as +INF, but we don't. */ | 
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| 72 | const QString toUpper(strNumeric.toUpper()); | 
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| 73 | if(toUpper == QLatin1String("-INF") || | 
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| 74 | toUpper == QLatin1String("INF")  || | 
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| 75 | toUpper == QLatin1String("+INF") || | 
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| 76 | toUpper == QLatin1String("NAN")) | 
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| 77 | { | 
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| 78 | return ValidationError::createError(); | 
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| 79 | } | 
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| 80 |  | 
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| 81 | bool conversionOk = false; | 
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| 82 | const xsDouble num = strNumeric.toDouble(&conversionOk); | 
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| 83 |  | 
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| 84 | if(conversionOk) | 
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| 85 | return AtomicValue::Ptr(new AbstractFloat<isDouble>(num)); | 
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| 86 | else | 
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| 87 | return ValidationError::createError(); | 
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| 88 | } | 
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| 89 |  | 
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| 90 | template <const bool isDouble> | 
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| 91 | int AbstractFloat<isDouble>::internalSignbit(const xsDouble num) | 
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| 92 | { | 
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| 93 | Q_ASSERT_X(sizeof(xsDouble) == 8 || sizeof(xsDouble) == 4, Q_FUNC_INFO, | 
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| 94 | "This implementation of signbit assumes xsDouble, that is qreal, is 64 bits large."); | 
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| 95 |  | 
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| 96 | union | 
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| 97 | { | 
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| 98 | xsDouble asDouble; | 
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| 99 | qint64 asInt; | 
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| 100 | } value; | 
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| 101 |  | 
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| 102 | value.asDouble = num; | 
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| 103 |  | 
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| 104 | /* 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 | 
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| 105 | * only one left. */ | 
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| 106 | if(sizeof(xsDouble) == 8) | 
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| 107 | return value.asInt >> 63; | 
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| 108 | else | 
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| 109 | return value.asInt >> 31; | 
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| 110 | } | 
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| 111 |  | 
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| 112 | template <const bool isDouble> | 
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| 113 | bool AbstractFloat<isDouble>::isEqual(const xsDouble a, const xsDouble b) | 
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| 114 | { | 
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| 115 | if(qIsInf(a)) | 
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| 116 | return qIsInf(b) && internalSignbit(a) == internalSignbit(b); | 
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| 117 | else if(qIsInf(b)) | 
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| 118 | return qIsInf(a) && internalSignbit(a) == internalSignbit(b); | 
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| 119 | else | 
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| 120 | { | 
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| 121 | /* Preferrably, we would use std::numeric_limits<xsDouble>::espilon(), but | 
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| 122 | * we cannot since we cannot depend on the STL. The small xs:double value below, | 
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| 123 | * was extracted by printing the std::numeric_limits<xsDouble>::epsilon() using | 
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| 124 | * gdb. */ | 
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| 125 | return qAbs(a - b) <= 2.2204460492503131e-16 * qAbs(a); | 
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| 126 | } | 
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| 127 | } | 
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| 128 |  | 
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| 129 | template <const bool isDouble> | 
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| 130 | bool AbstractFloat<isDouble>::isZero() const | 
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| 131 | { | 
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| 132 | return AbstractFloat<isDouble>::isEqual(m_value, 0.0); | 
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| 133 | } | 
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| 134 |  | 
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| 135 | template <const bool isDouble> | 
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| 136 | bool AbstractFloat<isDouble>::evaluateEBV(const QExplicitlySharedDataPointer<DynamicContext> &) const | 
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| 137 | { | 
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| 138 | if(isZero() || qIsNaN(m_value)) | 
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| 139 | return false; | 
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| 140 | else | 
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| 141 | return true; | 
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| 142 | } | 
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| 143 |  | 
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| 144 | template <const bool isDouble> | 
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| 145 | QString AbstractFloat<isDouble>::stringValue() const | 
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| 146 | { | 
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| 147 | if(qIsNaN(m_value)) | 
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| 148 | return QLatin1String("NaN"); | 
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| 149 | else if(qIsInf(m_value)) | 
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| 150 | return internalSignbit(m_value) == 0 ? QLatin1String("INF") : QLatin1String("-INF"); | 
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| 151 | /* | 
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| 152 | * If SV has an absolute value that is greater than or equal to 0.000001 | 
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| 153 | * (one millionth) and less than 1000000 (one million), | 
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| 154 | * then the value is converted to an xs:decimal and the resulting xs:decimal | 
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| 155 | * is converted to an xs:string according to the rules above. | 
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| 156 | */ | 
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| 157 | else if(0.000001 <= qAbs(m_value) && qAbs(m_value) < 1000000.0) | 
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| 158 | return Decimal::toString(toDecimal()); | 
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| 159 | /* | 
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| 160 | * If SV has the value positive or negative zero, TV is "0" or "-0" respectively. | 
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| 161 | */ | 
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| 162 | else if(isZero()) | 
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| 163 | return internalSignbit(m_value) == 0 ? QLatin1String("0") : QLatin1String("-0"); | 
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| 164 | else | 
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| 165 | { | 
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| 166 | /* | 
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| 167 | * Besides these special values, the general form of the canonical form for | 
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| 168 | * xs:float and xs:double is a mantissa, which is a xs:decimal, followed by | 
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| 169 | * the letter "E", followed by an exponent which is an xs:integer. | 
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| 170 | */ | 
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| 171 | int sign; | 
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| 172 | int decimalPoint; | 
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| 173 | char *result = 0; | 
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| 174 | static_cast<void>(qdtoa(m_value, -1, 0, &decimalPoint, &sign, 0, &result)); | 
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| 175 |  | 
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| 176 | /* If the copy constructor is used instead of QString::operator=(), | 
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| 177 | * it doesn't compile. I have no idea why. */ | 
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| 178 | const QString qret(QString::fromLatin1(result)); | 
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| 179 |  | 
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| 180 | /* We use free() instead of delete here, because qlocale.cpp use malloc(). Spotted | 
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| 181 | * by valgrind. */ | 
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| 182 | free(result); | 
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| 183 |  | 
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| 184 | QString valueAsString; | 
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| 185 |  | 
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| 186 | if(sign) | 
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| 187 | valueAsString += QLatin1Char('-'); | 
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| 188 |  | 
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| 189 | valueAsString += qret.left(1); | 
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| 190 | valueAsString += QLatin1Char('.'); | 
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| 191 |  | 
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| 192 | if(1 == qret.size()) | 
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| 193 | valueAsString += QLatin1Char('0'); | 
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| 194 | else | 
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| 195 | valueAsString += qret.mid(1); | 
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| 196 |  | 
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| 197 | valueAsString += QLatin1Char('E'); | 
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| 198 | decimalPoint--; | 
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| 199 | valueAsString += QString::number(decimalPoint); | 
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| 200 | return valueAsString; | 
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| 201 | } | 
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| 202 | } | 
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| 203 |  | 
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| 204 | template <const bool isDouble> | 
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| 205 | xsDouble AbstractFloat<isDouble>::toDouble() const | 
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| 206 | { | 
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| 207 | return m_value; | 
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| 208 | } | 
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| 209 |  | 
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| 210 | template <const bool isDouble> | 
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| 211 | xsInteger AbstractFloat<isDouble>::toInteger() const | 
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| 212 | { | 
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| 213 | return static_cast<xsInteger>(m_value); | 
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| 214 | } | 
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| 215 |  | 
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| 216 | template <const bool isDouble> | 
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| 217 | xsFloat AbstractFloat<isDouble>::toFloat() const | 
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| 218 | { | 
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| 219 | /* No cast, since xsFloat and xsDouble are typedef'ed with the same type. */ | 
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| 220 | return m_value; | 
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| 221 | } | 
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| 222 |  | 
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| 223 | template <const bool isDouble> | 
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| 224 | xsDecimal AbstractFloat<isDouble>::toDecimal() const | 
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| 225 | { | 
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| 226 | return static_cast<xsDecimal>(m_value); | 
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| 227 | } | 
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| 228 |  | 
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| 229 | template <const bool isDouble> | 
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| 230 | Numeric::Ptr AbstractFloat<isDouble>::round() const | 
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| 231 | { | 
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| 232 | return AbstractFloat<isDouble>::fromValue(static_cast<xsDouble>(roundFloat(m_value))); | 
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| 233 | } | 
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| 234 |  | 
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| 235 | template <const bool isDouble> | 
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| 236 | Numeric::Ptr AbstractFloat<isDouble>::roundHalfToEven(const xsInteger precision) const | 
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| 237 | { | 
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| 238 | if(isNaN() || isInf() || isZero()) | 
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| 239 | return Numeric::Ptr(const_cast<AbstractFloat<isDouble> *>(this)); | 
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| 240 | else | 
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| 241 | { | 
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| 242 | /* The cast to double helps finding the correct pow() version on irix-cc. */ | 
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| 243 | const xsDouble powered = pow(double(10), double(precision)); | 
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| 244 | xsDouble val = powered * m_value; | 
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| 245 | bool isHalf = false; | 
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| 246 |  | 
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| 247 | if(val - 0.5 == ::floor(val)) | 
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| 248 | isHalf = true; | 
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| 249 |  | 
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| 250 | val = m_value * powered + 0.5; | 
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| 251 | val = ::floor(val); | 
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| 252 |  | 
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| 253 | if(isHalf /*&& isOdd(val) or? TODO */) | 
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| 254 | val -= 1; | 
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| 255 |  | 
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| 256 | val /= powered; | 
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| 257 |  | 
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| 258 | return fromValue(val); | 
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| 259 | } | 
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| 260 | } | 
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| 261 |  | 
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| 262 | template <const bool isDouble> | 
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| 263 | Numeric::Ptr AbstractFloat<isDouble>::floor() const | 
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| 264 | { | 
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| 265 | return AbstractFloat<isDouble>::fromValue(static_cast<xsDouble>(::floor(m_value))); | 
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| 266 | } | 
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| 267 |  | 
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| 268 | template <const bool isDouble> | 
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| 269 | Numeric::Ptr AbstractFloat<isDouble>::ceiling() const | 
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| 270 | { | 
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| 271 | return AbstractFloat<isDouble>::fromValue(static_cast<xsDouble>(ceil(m_value))); | 
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| 272 | } | 
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| 273 |  | 
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| 274 | template <const bool isDouble> | 
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| 275 | Numeric::Ptr AbstractFloat<isDouble>::abs() const | 
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| 276 | { | 
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| 277 | /* We must use fabs() instead of qAbs() because qAbs() | 
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| 278 | * doesn't return 0 for -0.0. */ | 
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| 279 | return AbstractFloat<isDouble>::fromValue(static_cast<xsDouble>(fabs(m_value))); | 
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| 280 | } | 
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| 281 |  | 
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| 282 | template <const bool isDouble> | 
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| 283 | bool AbstractFloat<isDouble>::isNaN() const | 
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| 284 | { | 
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| 285 | return qIsNaN(m_value); | 
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| 286 | } | 
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| 287 |  | 
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| 288 | template <const bool isDouble> | 
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| 289 | bool AbstractFloat<isDouble>::isInf() const | 
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| 290 | { | 
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| 291 | return qIsInf(m_value); | 
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| 292 | } | 
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| 293 |  | 
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| 294 | template <const bool isDouble> | 
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| 295 | ItemType::Ptr AbstractFloat<isDouble>::type() const | 
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| 296 | { | 
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| 297 | return isDouble ? BuiltinTypes::xsDouble : BuiltinTypes::xsFloat; | 
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| 298 | } | 
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| 299 |  | 
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| 300 | template <const bool isDouble> | 
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| 301 | Item AbstractFloat<isDouble>::toNegated() const | 
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| 302 | { | 
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| 303 | return fromValue(-m_value).data(); | 
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| 304 | } | 
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| 305 |  | 
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| 306 | template <const bool isDouble> | 
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| 307 | bool AbstractFloat<isDouble>::isSigned() const | 
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| 308 | { | 
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| 309 | Q_ASSERT_X(false, Q_FUNC_INFO, | 
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| 310 | "It makes no sense to call this function, see Numeric::isSigned()."); | 
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| 311 | return false; | 
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| 312 | } | 
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| 313 |  | 
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| 314 | template <const bool isDouble> | 
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| 315 | qulonglong AbstractFloat<isDouble>::toUnsignedInteger() const | 
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| 316 | { | 
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| 317 | Q_ASSERT_X(false, Q_FUNC_INFO, | 
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| 318 | "It makes no sense to call this function, see Numeric::toUnsignedInteger()."); | 
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| 319 | return 0; | 
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| 320 | } | 
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| 321 |  | 
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