| 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 | ** $QT_BEGIN_LICENSE:LGPL$ |
| 9 | ** Commercial License Usage |
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| 15 | ** information use the contact form at https://www.qt.io/contact-us. |
| 16 | ** |
| 17 | ** GNU Lesser General Public License Usage |
| 18 | ** Alternatively, this file may be used under the terms of the GNU Lesser |
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| 21 | ** packaging of this file. Please review the following information to |
| 22 | ** ensure the GNU Lesser General Public License version 3 requirements |
| 23 | ** will be met: https://www.gnu.org/licenses/lgpl-3.0.html. |
| 24 | ** |
| 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 |
| 29 | ** Qt Foundation. The licenses are as published by the Free Software |
| 30 | ** Foundation and appearing in the file LICENSE.GPL2 and LICENSE.GPL3 |
| 31 | ** included in the packaging of this file. Please review the following |
| 32 | ** information to ensure the GNU General Public License requirements will |
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| 34 | ** https://www.gnu.org/licenses/gpl-3.0.html. |
| 35 | ** |
| 36 | ** $QT_END_LICENSE$ |
| 37 | ** |
| 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 | |