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 | ** All rights reserved.
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5 | ** Contact: Nokia Corporation ([email protected])
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6 | **
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7 | ** This file is part of the QtXmlPatterns module of the Qt Toolkit.
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8 | **
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9 | ** $QT_BEGIN_LICENSE:LGPL$
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10 | ** Commercial Usage
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11 | ** Licensees holding valid Qt Commercial licenses may use this file in
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12 | ** accordance with the Qt Commercial License Agreement provided with the
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13 | ** Software or, alternatively, in accordance with the terms contained in
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14 | ** a written agreement between you and Nokia.
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15 | **
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16 | ** GNU Lesser General Public License Usage
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17 | ** Alternatively, this file may be used under the terms of the GNU Lesser
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18 | ** General Public License version 2.1 as published by the Free Software
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19 | ** Foundation and appearing in the file LICENSE.LGPL included in the
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20 | ** packaging of this file. Please review the following information to
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21 | ** ensure the GNU Lesser General Public License version 2.1 requirements
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22 | ** will be met: http://www.gnu.org/licenses/old-licenses/lgpl-2.1.html.
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23 | **
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24 | ** In addition, as a special exception, Nokia gives you certain additional
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25 | ** rights. These rights are described in the Nokia Qt LGPL Exception
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26 | ** version 1.1, included in the file LGPL_EXCEPTION.txt in this 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 have questions regarding the use of this file, please contact
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37 | ** Nokia at [email protected].
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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.at(0);
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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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