| 1 | /**************************************************************************** | 
| 2 | ** | 
| 3 | ** Copyright (C) 2016 The Qt Company Ltd. | 
| 4 | ** Contact: https://www.qt.io/licensing/ | 
| 5 | ** | 
| 6 | ** This file is part of the QtXmlPatterns module of the Qt Toolkit. | 
| 7 | ** | 
| 8 | ** $QT_BEGIN_LICENSE:LGPL$ | 
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| 25 | ** GNU General Public License Usage | 
| 26 | ** Alternatively, this file may be used under the terms of the GNU | 
| 27 | ** General Public License version 2.0 or (at your option) the GNU General | 
| 28 | ** Public license version 3 or any later version approved by the KDE Free | 
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| 35 | ** | 
| 36 | ** $QT_END_LICENSE$ | 
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| 38 | ****************************************************************************/ | 
| 39 |  | 
| 40 | // | 
| 41 | //  W A R N I N G | 
| 42 | //  ------------- | 
| 43 | // | 
| 44 | // This file is not part of the Qt API.  It exists purely as an | 
| 45 | // implementation detail.  This header file may change from version to | 
| 46 | // version without notice, or even be removed. | 
| 47 | // | 
| 48 | // We mean it. | 
| 49 | // | 
| 50 |  | 
| 51 | /** | 
| 52 |  * @file | 
| 53 |  * @short This file is included by qabstractfloat_p.h. | 
| 54 |  * If you need includes in this file, put them in qabstractfloat_p.h, outside of the namespace. | 
| 55 |  */ | 
| 56 |  | 
| 57 | template <const bool isDouble> | 
| 58 | AbstractFloat<isDouble>::AbstractFloat(const xsDouble num) : m_value(num) | 
| 59 | { | 
| 60 | } | 
| 61 |  | 
| 62 | template <const bool isDouble> | 
| 63 | Numeric::Ptr AbstractFloat<isDouble>::fromValue(const xsDouble num) | 
| 64 | { | 
| 65 |     return Numeric::Ptr(new AbstractFloat<isDouble>(num)); | 
| 66 | } | 
| 67 |  | 
| 68 | template <const bool isDouble> | 
| 69 | AtomicValue::Ptr AbstractFloat<isDouble>::fromLexical(const QString &strNumeric) | 
| 70 | { | 
| 71 |     /* QString::toDouble() handles the whitespace facet. */ | 
| 72 |  | 
| 73 |     if(strNumeric == QLatin1String("NaN" )) | 
| 74 |         return isDouble ? CommonValues::DoubleNaN : CommonValues::FloatNaN; | 
| 75 |     else if(strNumeric == QLatin1String("-INF" )) | 
| 76 |         return isDouble ? CommonValues::NegativeInfDouble : CommonValues::NegativeInfFloat; | 
| 77 |     else if(strNumeric == QLatin1String("INF" )) | 
| 78 |         return isDouble ? CommonValues::InfDouble : CommonValues::InfFloat; | 
| 79 |  | 
| 80 |     /* QString::toDouble() supports any case as well as +INF, but we don't. */ | 
| 81 |     const QString toUpper(strNumeric.toUpper()); | 
| 82 |     if(toUpper == QLatin1String("-INF" ) || | 
| 83 |        toUpper == QLatin1String("INF" )  || | 
| 84 |        toUpper == QLatin1String("+INF" ) || | 
| 85 |        toUpper == QLatin1String("NAN" )) | 
| 86 |     { | 
| 87 |         return ValidationError::createError(); | 
| 88 |     } | 
| 89 |  | 
| 90 |     bool conversionOk = false; | 
| 91 |     const xsDouble num = strNumeric.toDouble(ok: &conversionOk); | 
| 92 |  | 
| 93 |     if(conversionOk) | 
| 94 |         return AtomicValue::Ptr(new AbstractFloat<isDouble>(num)); | 
| 95 |     else | 
| 96 |         return ValidationError::createError(); | 
| 97 | } | 
| 98 |  | 
| 99 | template <const bool isDouble> | 
| 100 | int AbstractFloat<isDouble>::internalSignbit(const xsDouble num) | 
| 101 | { | 
| 102 |     Q_ASSERT_X(sizeof(xsDouble) == 8 || sizeof(xsDouble) == 4, Q_FUNC_INFO, | 
| 103 |                "This implementation of signbit assumes xsDouble, that is qreal, is 64 bits large." ); | 
| 104 |  | 
| 105 |     union | 
| 106 |     { | 
| 107 |         xsDouble asDouble; | 
| 108 |         qint64 asInt; | 
| 109 |     } value; | 
| 110 |  | 
| 111 |     value.asDouble = num; | 
| 112 |  | 
| 113 |     /* 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 | 
| 114 |      * only one left. */ | 
| 115 |     if(sizeof(xsDouble) == 8) | 
| 116 |         return value.asInt >> 63; | 
| 117 |     else | 
| 118 |         return value.asInt >> 31; | 
| 119 | } | 
| 120 |  | 
| 121 | template <const bool isDouble> | 
| 122 | bool AbstractFloat<isDouble>::isEqual(const xsDouble a, const xsDouble b) | 
| 123 | { | 
| 124 |     if(qIsInf(d: a)) | 
| 125 |         return qIsInf(d: b) && internalSignbit(num: a) == internalSignbit(num: b); | 
| 126 |     else if(qIsInf(d: b)) | 
| 127 |         return qIsInf(d: a) && internalSignbit(num: a) == internalSignbit(num: b); | 
| 128 |     else | 
| 129 |     { | 
| 130 |         /* Preferably, we would use std::numeric_limits<xsDouble>::espilon(), but | 
| 131 |          * we cannot since we cannot depend on the STL. The small xs:double value below, | 
| 132 |          * was extracted by printing the std::numeric_limits<xsDouble>::epsilon() using | 
| 133 |          * gdb. */ | 
| 134 |         return qAbs(t: a - b) <= 2.2204460492503131e-16 * qAbs(t: a); | 
| 135 |     } | 
| 136 | } | 
| 137 |  | 
| 138 | template <const bool isDouble> | 
| 139 | bool AbstractFloat<isDouble>::isZero() const | 
| 140 | { | 
| 141 |     return AbstractFloat<isDouble>::isEqual(a: m_value, b: 0.0); | 
| 142 | } | 
| 143 |  | 
| 144 | template <const bool isDouble> | 
| 145 | bool AbstractFloat<isDouble>::evaluateEBV(const QExplicitlySharedDataPointer<DynamicContext> &) const | 
| 146 | { | 
| 147 |     if(isZero() || qIsNaN(d: m_value)) | 
| 148 |         return false; | 
| 149 |     else | 
| 150 |         return true; | 
| 151 | } | 
| 152 |  | 
| 153 | template <const bool isDouble> | 
| 154 | QString AbstractFloat<isDouble>::stringValue() const | 
| 155 | { | 
| 156 |     if(qIsNaN(d: m_value)) | 
| 157 |         return QLatin1String("NaN" ); | 
| 158 |     else if(qIsInf(d: m_value)) | 
| 159 |         return internalSignbit(num: m_value) == 0 ? QLatin1String("INF" ) : QLatin1String("-INF" ); | 
| 160 |     /* | 
| 161 |      * If SV has an absolute value that is greater than or equal to 0.000001 | 
| 162 |      * (one millionth) and less than 1000000 (one million), | 
| 163 |      * then the value is converted to an xs:decimal and the resulting xs:decimal | 
| 164 |      * is converted to an xs:string according to the rules above. | 
| 165 |      */ | 
| 166 |     else if(0.000001 <= qAbs(t: m_value) && qAbs(t: m_value) < 1000000.0) | 
| 167 |         return Decimal::toString(value: toDecimal()); | 
| 168 |     /* | 
| 169 |      * If SV has the value positive or negative zero, TV is "0" or "-0" respectively. | 
| 170 |      */ | 
| 171 |     else if(isZero()) | 
| 172 |         return internalSignbit(num: m_value) == 0 ? QLatin1String("0" ) : QLatin1String("-0" ); | 
| 173 |     else | 
| 174 |     { | 
| 175 |         /* | 
| 176 |          * Besides these special values, the general form of the canonical form for | 
| 177 |          * xs:float and xs:double is a mantissa, which is a xs:decimal, followed by | 
| 178 |          * the letter "E", followed by an exponent which is an xs:integer. | 
| 179 |          */ | 
| 180 |         int sign; | 
| 181 |         int decimalPoint; | 
| 182 |         const QString qret = qdtoa(d: m_value, decpt: &decimalPoint, sign: &sign); | 
| 183 |         QString valueAsString; | 
| 184 |  | 
| 185 |         if(sign) | 
| 186 |             valueAsString += QLatin1Char('-'); | 
| 187 |  | 
| 188 |         valueAsString += qret.at(i: 0); | 
| 189 |         valueAsString += QLatin1Char('.'); | 
| 190 |  | 
| 191 |         if(1 == qret.size()) | 
| 192 |             valueAsString += QLatin1Char('0'); | 
| 193 |         else | 
| 194 |             valueAsString += qret.mid(position: 1); | 
| 195 |  | 
| 196 |         valueAsString += QLatin1Char('E'); | 
| 197 |         decimalPoint--; | 
| 198 |         valueAsString += QString::number(decimalPoint); | 
| 199 |         return valueAsString; | 
| 200 |     } | 
| 201 | } | 
| 202 |  | 
| 203 | template <const bool isDouble> | 
| 204 | xsDouble AbstractFloat<isDouble>::toDouble() const | 
| 205 | { | 
| 206 |     return m_value; | 
| 207 | } | 
| 208 |  | 
| 209 | template <const bool isDouble> | 
| 210 | xsInteger AbstractFloat<isDouble>::toInteger() const | 
| 211 | { | 
| 212 |     return static_cast<xsInteger>(m_value); | 
| 213 | } | 
| 214 |  | 
| 215 | template <const bool isDouble> | 
| 216 | xsFloat AbstractFloat<isDouble>::toFloat() const | 
| 217 | { | 
| 218 |     /* No cast, since xsFloat and xsDouble are typedef'ed with the same type. */ | 
| 219 |     return m_value; | 
| 220 | } | 
| 221 |  | 
| 222 | template <const bool isDouble> | 
| 223 | xsDecimal AbstractFloat<isDouble>::toDecimal() const | 
| 224 | { | 
| 225 |     return static_cast<xsDecimal>(m_value); | 
| 226 | } | 
| 227 |  | 
| 228 | template <const bool isDouble> | 
| 229 | Numeric::Ptr AbstractFloat<isDouble>::round() const | 
| 230 | { | 
| 231 |     return AbstractFloat<isDouble>::fromValue(num: static_cast<xsDouble>(roundFloat(val: m_value))); | 
| 232 | } | 
| 233 |  | 
| 234 | template <const bool isDouble> | 
| 235 | Numeric::Ptr AbstractFloat<isDouble>::roundHalfToEven(const xsInteger precision) const | 
| 236 | { | 
| 237 |     if(isNaN() || isInf() || isZero()) | 
| 238 |         return Numeric::Ptr(const_cast<AbstractFloat<isDouble> *>(this)); | 
| 239 |     else | 
| 240 |     { | 
| 241 |         /* The cast to double helps finding the correct pow() version on irix-cc. */ | 
| 242 |         const xsDouble powered = pow(x: double(10), y: double(precision)); | 
| 243 |         xsDouble val = powered * m_value; | 
| 244 |         bool isHalf = false; | 
| 245 |  | 
| 246 |         if(val - 0.5 == ::floor(x: val)) | 
| 247 |             isHalf = true; | 
| 248 |  | 
| 249 |         val = m_value * powered + 0.5; | 
| 250 |         val = ::floor(x: val); | 
| 251 |  | 
| 252 |         if(isHalf /*&& isOdd(val) or? TODO */) | 
| 253 |             val -= 1; | 
| 254 |  | 
| 255 |         val /= powered; | 
| 256 |  | 
| 257 |         return fromValue(num: val); | 
| 258 |     } | 
| 259 | } | 
| 260 |  | 
| 261 | template <const bool isDouble> | 
| 262 | Numeric::Ptr AbstractFloat<isDouble>::floor() const | 
| 263 | { | 
| 264 |     return AbstractFloat<isDouble>::fromValue(num: static_cast<xsDouble>(::floor(x: m_value))); | 
| 265 | } | 
| 266 |  | 
| 267 | template <const bool isDouble> | 
| 268 | Numeric::Ptr AbstractFloat<isDouble>::ceiling() const | 
| 269 | { | 
| 270 |     return AbstractFloat<isDouble>::fromValue(num: static_cast<xsDouble>(ceil(x: m_value))); | 
| 271 | } | 
| 272 |  | 
| 273 | template <const bool isDouble> | 
| 274 | Numeric::Ptr AbstractFloat<isDouble>::abs() const | 
| 275 | { | 
| 276 |     /* We must use fabs() instead of qAbs() because qAbs() | 
| 277 |      * doesn't return 0 for -0.0. */ | 
| 278 |     return AbstractFloat<isDouble>::fromValue(num: static_cast<xsDouble>(fabs(x: m_value))); | 
| 279 | } | 
| 280 |  | 
| 281 | template <const bool isDouble> | 
| 282 | bool AbstractFloat<isDouble>::isNaN() const | 
| 283 | { | 
| 284 |     return qIsNaN(d: m_value); | 
| 285 | } | 
| 286 |  | 
| 287 | template <const bool isDouble> | 
| 288 | bool AbstractFloat<isDouble>::isInf() const | 
| 289 | { | 
| 290 |     return qIsInf(d: m_value); | 
| 291 | } | 
| 292 |  | 
| 293 | template <const bool isDouble> | 
| 294 | ItemType::Ptr AbstractFloat<isDouble>::type() const | 
| 295 | { | 
| 296 |     return isDouble ? BuiltinTypes::xsDouble : BuiltinTypes::xsFloat; | 
| 297 | } | 
| 298 |  | 
| 299 | template <const bool isDouble> | 
| 300 | Item AbstractFloat<isDouble>::toNegated() const | 
| 301 | { | 
| 302 |     return fromValue(num: -m_value).data(); | 
| 303 | } | 
| 304 |  | 
| 305 | template <const bool isDouble> | 
| 306 | bool AbstractFloat<isDouble>::isSigned() const | 
| 307 | { | 
| 308 |     Q_ASSERT_X(false, Q_FUNC_INFO, | 
| 309 |                "It makes no sense to call this function, see Numeric::isSigned()." ); | 
| 310 |     return false; | 
| 311 | } | 
| 312 |  | 
| 313 | template <const bool isDouble> | 
| 314 | qulonglong AbstractFloat<isDouble>::toUnsignedInteger() const | 
| 315 | { | 
| 316 |     Q_ASSERT_X(false, Q_FUNC_INFO, | 
| 317 |                "It makes no sense to call this function, see Numeric::toUnsignedInteger()." ); | 
| 318 |     return 0; | 
| 319 | } | 
| 320 |  | 
| 321 |  |