| 1 | /*============================================================================= |
| 2 | Copyright (c) 2001-2019 Joel de Guzman |
| 3 | Copyright (c) 2001-2011 Hartmut Kaiser |
| 4 | http://spirit.sourceforge.net/ |
| 5 | |
| 6 | Distributed under the Boost Software License, Version 1.0. (See accompanying |
| 7 | file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) |
| 8 | =============================================================================*/ |
| 9 | #ifndef BOOST_SPIRIT_QI_NUMERIC_DETAIL_REAL_IMPL_HPP |
| 10 | #define BOOST_SPIRIT_QI_NUMERIC_DETAIL_REAL_IMPL_HPP |
| 11 | |
| 12 | #if defined(_MSC_VER) |
| 13 | #pragma once |
| 14 | #endif |
| 15 | |
| 16 | #include <cmath> |
| 17 | #include <boost/limits.hpp> |
| 18 | #include <boost/type_traits/is_same.hpp> |
| 19 | #include <boost/spirit/home/support/unused.hpp> |
| 20 | #include <boost/spirit/home/qi/detail/attributes.hpp> |
| 21 | #include <boost/spirit/home/support/detail/pow10.hpp> |
| 22 | #include <boost/integer.hpp> |
| 23 | #include <boost/assert.hpp> |
| 24 | |
| 25 | #include <boost/core/cmath.hpp> |
| 26 | |
| 27 | #if BOOST_WORKAROUND(BOOST_MSVC, >= 1400) |
| 28 | # pragma warning(push) |
| 29 | # pragma warning(disable: 4100) // 'p': unreferenced formal parameter |
| 30 | # pragma warning(disable: 4127) // conditional expression is constant |
| 31 | #endif |
| 32 | |
| 33 | namespace boost { namespace spirit { namespace traits |
| 34 | { |
| 35 | using spirit::traits::pow10; |
| 36 | |
| 37 | namespace detail |
| 38 | { |
| 39 | template <typename T, typename AccT> |
| 40 | void compensate_roundoff(T& n, AccT acc_n, mpl::true_) |
| 41 | { |
| 42 | // at the lowest extremes, we compensate for floating point |
| 43 | // roundoff errors by doing imprecise computation using T |
| 44 | int const comp = 10; |
| 45 | n = T((acc_n / comp) * comp); |
| 46 | n += T(acc_n % comp); |
| 47 | } |
| 48 | |
| 49 | template <typename T, typename AccT> |
| 50 | void compensate_roundoff(T& n, AccT acc_n, mpl::false_) |
| 51 | { |
| 52 | // no need to compensate |
| 53 | n = acc_n; |
| 54 | } |
| 55 | |
| 56 | template <typename T, typename AccT> |
| 57 | void compensate_roundoff(T& n, AccT acc_n) |
| 58 | { |
| 59 | compensate_roundoff(n, acc_n, is_integral<AccT>()); |
| 60 | } |
| 61 | } |
| 62 | |
| 63 | template <typename T, typename AccT> |
| 64 | inline bool |
| 65 | scale(int exp, T& n, AccT acc_n) |
| 66 | { |
| 67 | if (exp >= 0) |
| 68 | { |
| 69 | int const max_exp = std::numeric_limits<T>::max_exponent10; |
| 70 | |
| 71 | // return false if exp exceeds the max_exp |
| 72 | // do this check only for primitive types! |
| 73 | if (is_floating_point<T>() && (exp > max_exp)) |
| 74 | return false; |
| 75 | n = acc_n * pow10<T>(exp); |
| 76 | } |
| 77 | else |
| 78 | { |
| 79 | if (exp < std::numeric_limits<T>::min_exponent10) |
| 80 | { |
| 81 | int const min_exp = std::numeric_limits<T>::min_exponent10; |
| 82 | detail::compensate_roundoff(n, acc_n); |
| 83 | n /= pow10<T>(-min_exp); |
| 84 | |
| 85 | // return false if exp still exceeds the min_exp |
| 86 | // do this check only for primitive types! |
| 87 | exp += -min_exp; |
| 88 | if (is_floating_point<T>() && exp < min_exp) |
| 89 | return false; |
| 90 | |
| 91 | n /= pow10<T>(-exp); |
| 92 | } |
| 93 | else |
| 94 | { |
| 95 | n = T(acc_n) / pow10<T>(-exp); |
| 96 | } |
| 97 | } |
| 98 | return true; |
| 99 | } |
| 100 | |
| 101 | inline bool |
| 102 | scale(int /*exp*/, unused_type /*n*/, unused_type /*acc_n*/) |
| 103 | { |
| 104 | // no-op for unused_type |
| 105 | return true; |
| 106 | } |
| 107 | |
| 108 | template <typename T, typename AccT> |
| 109 | inline bool |
| 110 | scale(int exp, int frac, T& n, AccT acc_n) |
| 111 | { |
| 112 | return scale(exp - frac, n, acc_n); |
| 113 | } |
| 114 | |
| 115 | inline bool |
| 116 | scale(int /*exp*/, int /*frac*/, unused_type /*n*/) |
| 117 | { |
| 118 | // no-op for unused_type |
| 119 | return true; |
| 120 | } |
| 121 | |
| 122 | inline float |
| 123 | negate(bool neg, float n) |
| 124 | { |
| 125 | return neg ? (core::copysign)(x: n, y: -1.f) : n; |
| 126 | } |
| 127 | |
| 128 | inline double |
| 129 | negate(bool neg, double n) |
| 130 | { |
| 131 | return neg ? (core::copysign)(x: n, y: -1.) : n; |
| 132 | } |
| 133 | |
| 134 | inline long double |
| 135 | negate(bool neg, long double n) |
| 136 | { |
| 137 | return neg ? (core::copysign)(x: n, y: static_cast<long double>(-1)) : n; |
| 138 | } |
| 139 | |
| 140 | template <typename T> |
| 141 | inline T |
| 142 | negate(bool neg, T const& n) |
| 143 | { |
| 144 | return neg ? -n : n; |
| 145 | } |
| 146 | |
| 147 | inline unused_type |
| 148 | negate(bool /*neg*/, unused_type n) |
| 149 | { |
| 150 | // no-op for unused_type |
| 151 | return n; |
| 152 | } |
| 153 | |
| 154 | template <typename T> |
| 155 | struct real_accumulator : mpl::identity<T> {}; |
| 156 | |
| 157 | template <> |
| 158 | struct real_accumulator<float> |
| 159 | : mpl::identity<uint_t<(sizeof(float)*CHAR_BIT)>::least> {}; |
| 160 | |
| 161 | template <> |
| 162 | struct real_accumulator<double> |
| 163 | : mpl::identity<uint_t<(sizeof(double)*CHAR_BIT)>::least> {}; |
| 164 | }}} |
| 165 | |
| 166 | namespace boost { namespace spirit { namespace qi { namespace detail |
| 167 | { |
| 168 | BOOST_MPL_HAS_XXX_TRAIT_DEF(version) |
| 169 | |
| 170 | template <typename T, typename RealPolicies> |
| 171 | struct real_impl |
| 172 | { |
| 173 | template <typename Iterator> |
| 174 | static std::size_t |
| 175 | ignore_excess_digits(Iterator& /* first */, Iterator const& /* last */, mpl::false_) |
| 176 | { |
| 177 | return 0; |
| 178 | } |
| 179 | |
| 180 | template <typename Iterator> |
| 181 | static std::size_t |
| 182 | ignore_excess_digits(Iterator& first, Iterator const& last, mpl::true_) |
| 183 | { |
| 184 | return RealPolicies::ignore_excess_digits(first, last); |
| 185 | } |
| 186 | |
| 187 | template <typename Iterator> |
| 188 | static std::size_t |
| 189 | ignore_excess_digits(Iterator& first, Iterator const& last) |
| 190 | { |
| 191 | typedef mpl::bool_<has_version<RealPolicies>::value> has_version; |
| 192 | return ignore_excess_digits(first, last, has_version()); |
| 193 | } |
| 194 | |
| 195 | template <typename Iterator, typename Attribute> |
| 196 | static bool |
| 197 | parse(Iterator& first, Iterator const& last, Attribute& attr, |
| 198 | RealPolicies const& p) |
| 199 | { |
| 200 | if (first == last) |
| 201 | return false; |
| 202 | Iterator save = first; |
| 203 | |
| 204 | // Start by parsing the sign. neg will be true if |
| 205 | // we got a "-" sign, false otherwise. |
| 206 | bool neg = p.parse_sign(first, last); |
| 207 | |
| 208 | // Now attempt to parse an integer |
| 209 | T n; |
| 210 | |
| 211 | typename traits::real_accumulator<T>::type acc_n = 0; |
| 212 | bool got_a_number = p.parse_n(first, last, acc_n); |
| 213 | int excess_n = 0; |
| 214 | |
| 215 | // If we did not get a number it might be a NaN, Inf or a leading |
| 216 | // dot. |
| 217 | if (!got_a_number) |
| 218 | { |
| 219 | // Check whether the number to parse is a NaN or Inf |
| 220 | if (p.parse_nan(first, last, n) || |
| 221 | p.parse_inf(first, last, n)) |
| 222 | { |
| 223 | // If we got a negative sign, negate the number |
| 224 | traits::assign_to(traits::negate(neg, n), attr); |
| 225 | return true; // got a NaN or Inf, return early |
| 226 | } |
| 227 | |
| 228 | // If we did not get a number and our policies do not |
| 229 | // allow a leading dot, fail and return early (no-match) |
| 230 | if (!p.allow_leading_dot) |
| 231 | { |
| 232 | first = save; |
| 233 | return false; |
| 234 | } |
| 235 | } |
| 236 | else |
| 237 | { |
| 238 | // We got a number and we still see digits. This happens if acc_n (an integer) |
| 239 | // exceeds the integer's capacity. Collect the excess digits. |
| 240 | excess_n = static_cast<int>(ignore_excess_digits(first, last)); |
| 241 | } |
| 242 | |
| 243 | bool e_hit = false; |
| 244 | Iterator e_pos; |
| 245 | int frac_digits = 0; |
| 246 | |
| 247 | // Try to parse the dot ('.' decimal point) |
| 248 | if (p.parse_dot(first, last)) |
| 249 | { |
| 250 | // We got the decimal point. Now we will try to parse |
| 251 | // the fraction if it is there. If not, it defaults |
| 252 | // to zero (0) only if we already got a number. |
| 253 | if (excess_n != 0) |
| 254 | { |
| 255 | // We skip the fractions if we already exceeded our digits capacity |
| 256 | ignore_excess_digits(first, last); |
| 257 | } |
| 258 | else if (p.parse_frac_n(first, last, acc_n, frac_digits)) |
| 259 | { |
| 260 | BOOST_ASSERT(frac_digits >= 0); |
| 261 | } |
| 262 | else if (!got_a_number || !p.allow_trailing_dot) |
| 263 | { |
| 264 | // We did not get a fraction. If we still haven't got a |
| 265 | // number and our policies do not allow a trailing dot, |
| 266 | // return no-match. |
| 267 | first = save; |
| 268 | return false; |
| 269 | } |
| 270 | |
| 271 | // Now, let's see if we can parse the exponent prefix |
| 272 | e_pos = first; |
| 273 | e_hit = p.parse_exp(first, last); |
| 274 | } |
| 275 | else |
| 276 | { |
| 277 | // No dot and no number! Return no-match. |
| 278 | if (!got_a_number) |
| 279 | { |
| 280 | first = save; |
| 281 | return false; |
| 282 | } |
| 283 | |
| 284 | // If we must expect a dot and we didn't see an exponent |
| 285 | // prefix, return no-match. |
| 286 | e_pos = first; |
| 287 | e_hit = p.parse_exp(first, last); |
| 288 | if (p.expect_dot && !e_hit) |
| 289 | { |
| 290 | first = save; |
| 291 | return false; |
| 292 | } |
| 293 | } |
| 294 | |
| 295 | if (e_hit) |
| 296 | { |
| 297 | // We got the exponent prefix. Now we will try to parse the |
| 298 | // actual exponent. |
| 299 | int exp = 0; |
| 300 | if (p.parse_exp_n(first, last, exp)) |
| 301 | { |
| 302 | // Got the exponent value. Scale the number by |
| 303 | // exp + excess_n - frac_digits. |
| 304 | if (!traits::scale(exp + excess_n, frac_digits, n, acc_n)) |
| 305 | return false; |
| 306 | } |
| 307 | else |
| 308 | { |
| 309 | // If there is no number, disregard the exponent altogether. |
| 310 | // by resetting 'first' prior to the exponent prefix (e|E) |
| 311 | first = e_pos; |
| 312 | // Scale the number by -frac_digits. |
| 313 | bool r = traits::scale(-frac_digits, n, acc_n); |
| 314 | BOOST_VERIFY(r); |
| 315 | } |
| 316 | } |
| 317 | else if (frac_digits) |
| 318 | { |
| 319 | // No exponent found. Scale the number by -frac_digits. |
| 320 | bool r = traits::scale(-frac_digits, n, acc_n); |
| 321 | BOOST_VERIFY(r); |
| 322 | } |
| 323 | else |
| 324 | { |
| 325 | if (excess_n) |
| 326 | { |
| 327 | if (!traits::scale(excess_n, n, acc_n)) |
| 328 | return false; |
| 329 | } |
| 330 | else |
| 331 | { |
| 332 | n = static_cast<T>(acc_n); |
| 333 | } |
| 334 | } |
| 335 | |
| 336 | // If we got a negative sign, negate the number |
| 337 | traits::assign_to(traits::negate(neg, n), attr); |
| 338 | |
| 339 | // Success!!! |
| 340 | return true; |
| 341 | } |
| 342 | }; |
| 343 | |
| 344 | #if BOOST_WORKAROUND(BOOST_MSVC, >= 1400) |
| 345 | # pragma warning(pop) |
| 346 | #endif |
| 347 | |
| 348 | }}}} |
| 349 | |
| 350 | #endif |
| 351 | |