| 1 | /////////////////////////////////////////////////////////////// |
| 2 | // Copyright 2013 John Maddock. Distributed under the Boost |
| 3 | // Software License, Version 1.0. (See accompanying file |
| 4 | // LICENSE_1_0.txt or copy at https://www.boost.org/LICENSE_1_0.txt |
| 5 | // |
| 6 | // Comparison operators for cpp_int_backend: |
| 7 | // |
| 8 | #ifndef BOOST_MP_DETAIL_BITSCAN_HPP |
| 9 | #define BOOST_MP_DETAIL_BITSCAN_HPP |
| 10 | |
| 11 | #include <cstdint> |
| 12 | #include <climits> |
| 13 | #include <type_traits> |
| 14 | #include <boost/multiprecision/detail/endian.hpp> |
| 15 | #include <boost/multiprecision/detail/standalone_config.hpp> |
| 16 | |
| 17 | #if (defined(BOOST_MSVC) || (defined(__clang__) && defined(__c2__)) || (defined(BOOST_INTEL) && defined(_MSC_VER))) && (defined(_M_IX86) || defined(_M_X64)) |
| 18 | #include <intrin.h> |
| 19 | #endif |
| 20 | |
| 21 | namespace boost { namespace multiprecision { namespace detail { |
| 22 | |
| 23 | template <class Unsigned> |
| 24 | inline BOOST_MP_CXX14_CONSTEXPR std::size_t find_lsb_default(Unsigned mask) |
| 25 | { |
| 26 | std::size_t result = 0; |
| 27 | while (!(mask & 1u)) |
| 28 | { |
| 29 | mask >>= 1; |
| 30 | ++result; |
| 31 | } |
| 32 | return result; |
| 33 | } |
| 34 | |
| 35 | template <class Unsigned> |
| 36 | inline BOOST_MP_CXX14_CONSTEXPR std::size_t find_msb_default(Unsigned mask) |
| 37 | { |
| 38 | std::size_t index = 0; |
| 39 | while (mask) |
| 40 | { |
| 41 | ++index; |
| 42 | mask >>= 1; |
| 43 | } |
| 44 | return --index; |
| 45 | } |
| 46 | |
| 47 | template <class Unsigned> |
| 48 | inline BOOST_MP_CXX14_CONSTEXPR std::size_t find_lsb(Unsigned mask, const std::integral_constant<int, 0>&) |
| 49 | { |
| 50 | return find_lsb_default(mask); |
| 51 | } |
| 52 | |
| 53 | template <class Unsigned> |
| 54 | inline BOOST_MP_CXX14_CONSTEXPR std::size_t find_msb(Unsigned mask, const std::integral_constant<int, 0>&) |
| 55 | { |
| 56 | return find_msb_default(mask); |
| 57 | } |
| 58 | |
| 59 | #if (defined(BOOST_MSVC) || (defined(__clang__) && defined(__c2__)) || (defined(BOOST_INTEL) && defined(_MSC_VER))) && (defined(_M_IX86) || defined(_M_X64)) |
| 60 | |
| 61 | #pragma intrinsic(_BitScanForward, _BitScanReverse) |
| 62 | |
| 63 | BOOST_FORCEINLINE std::size_t find_lsb(unsigned long mask, const std::integral_constant<int, 1>&) |
| 64 | { |
| 65 | unsigned long result; |
| 66 | _BitScanForward(&result, mask); |
| 67 | return result; |
| 68 | } |
| 69 | |
| 70 | BOOST_FORCEINLINE std::size_t find_msb(unsigned long mask, const std::integral_constant<int, 1>&) |
| 71 | { |
| 72 | unsigned long result; |
| 73 | _BitScanReverse(&result, mask); |
| 74 | return result; |
| 75 | } |
| 76 | #ifdef _M_X64 |
| 77 | |
| 78 | #pragma intrinsic(_BitScanForward64, _BitScanReverse64) |
| 79 | |
| 80 | BOOST_FORCEINLINE std::size_t find_lsb(unsigned __int64 mask, const std::integral_constant<int, 2>&) |
| 81 | { |
| 82 | unsigned long result; |
| 83 | _BitScanForward64(&result, mask); |
| 84 | return result; |
| 85 | } |
| 86 | template <class Unsigned> |
| 87 | BOOST_FORCEINLINE std::size_t find_msb(Unsigned mask, const std::integral_constant<int, 2>&) |
| 88 | { |
| 89 | unsigned long result; |
| 90 | _BitScanReverse64(&result, mask); |
| 91 | return result; |
| 92 | } |
| 93 | #endif |
| 94 | |
| 95 | template <class Unsigned> |
| 96 | BOOST_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR std::size_t find_lsb(Unsigned mask) |
| 97 | { |
| 98 | using ui_type = typename boost::multiprecision::detail::make_unsigned<Unsigned>::type; |
| 99 | using tag_type = typename std::conditional< |
| 100 | sizeof(Unsigned) <= sizeof(unsigned long), |
| 101 | std::integral_constant<int, 1>, |
| 102 | #ifdef _M_X64 |
| 103 | typename std::conditional< |
| 104 | sizeof(Unsigned) <= sizeof(__int64), |
| 105 | std::integral_constant<int, 2>, |
| 106 | std::integral_constant<int, 0> >::type |
| 107 | #else |
| 108 | std::integral_constant<int, 0> |
| 109 | #endif |
| 110 | >::type; |
| 111 | #ifndef BOOST_MP_NO_CONSTEXPR_DETECTION |
| 112 | if (BOOST_MP_IS_CONST_EVALUATED(mask)) |
| 113 | { |
| 114 | return find_lsb_default(mask); |
| 115 | } |
| 116 | else |
| 117 | #endif |
| 118 | return find_lsb(static_cast<ui_type>(mask), tag_type()); |
| 119 | } |
| 120 | |
| 121 | template <class Unsigned> |
| 122 | BOOST_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR std::size_t find_msb(Unsigned mask) |
| 123 | { |
| 124 | using ui_type = typename boost::multiprecision::detail::make_unsigned<Unsigned>::type; |
| 125 | using tag_type = typename std::conditional< |
| 126 | sizeof(Unsigned) <= sizeof(unsigned long), |
| 127 | std::integral_constant<int, 1>, |
| 128 | #ifdef _M_X64 |
| 129 | typename std::conditional< |
| 130 | sizeof(Unsigned) <= sizeof(__int64), |
| 131 | std::integral_constant<int, 2>, |
| 132 | std::integral_constant<int, 0> >::type |
| 133 | #else |
| 134 | std::integral_constant<int, 0> |
| 135 | #endif |
| 136 | >::type; |
| 137 | #ifndef BOOST_MP_NO_CONSTEXPR_DETECTION |
| 138 | if (BOOST_MP_IS_CONST_EVALUATED(mask)) |
| 139 | { |
| 140 | return find_msb_default(mask); |
| 141 | } |
| 142 | else |
| 143 | #endif |
| 144 | return find_msb(static_cast<ui_type>(mask), tag_type()); |
| 145 | } |
| 146 | |
| 147 | #elif defined(BOOST_GCC) || defined(__clang__) || (defined(BOOST_INTEL) && defined(__GNUC__)) |
| 148 | |
| 149 | BOOST_FORCEINLINE std::size_t find_lsb(std::size_t mask, std::integral_constant<int, 1> const&) |
| 150 | { |
| 151 | return static_cast<std::size_t>(__builtin_ctz(static_cast<unsigned int>(mask))); |
| 152 | } |
| 153 | BOOST_FORCEINLINE std::size_t find_lsb(unsigned long mask, std::integral_constant<int, 2> const&) |
| 154 | { |
| 155 | return static_cast<std::size_t>(__builtin_ctzl(static_cast<unsigned long>(mask))); |
| 156 | } |
| 157 | BOOST_FORCEINLINE std::size_t find_lsb(unsigned long long mask, std::integral_constant<int, 3> const&) |
| 158 | { |
| 159 | return static_cast<std::size_t>(__builtin_ctzll(static_cast<unsigned long long>(mask))); |
| 160 | } |
| 161 | BOOST_FORCEINLINE std::size_t find_msb(std::size_t mask, std::integral_constant<int, 1> const&) |
| 162 | { |
| 163 | return static_cast<std::size_t>(static_cast<std::size_t>(sizeof(unsigned) * static_cast<std::size_t>(CHAR_BIT) - 1u) - static_cast<std::size_t>(__builtin_clz(static_cast<unsigned int>(mask)))); |
| 164 | } |
| 165 | BOOST_FORCEINLINE std::size_t find_msb(unsigned long mask, std::integral_constant<int, 2> const&) |
| 166 | { |
| 167 | return static_cast<std::size_t>(static_cast<std::size_t>(sizeof(unsigned long) * static_cast<std::size_t>(CHAR_BIT) - 1u) - static_cast<std::size_t>(__builtin_clzl(static_cast<unsigned long>(mask)))); |
| 168 | } |
| 169 | BOOST_FORCEINLINE std::size_t find_msb(unsigned long long mask, std::integral_constant<int, 3> const&) |
| 170 | { |
| 171 | return static_cast<std::size_t>(static_cast<std::size_t>(sizeof(unsigned long long) * static_cast<std::size_t>(CHAR_BIT) - 1u) - static_cast<std::size_t>(__builtin_clzll(static_cast<unsigned long long>(mask)))); |
| 172 | } |
| 173 | #ifdef BOOST_HAS_INT128 |
| 174 | |
| 175 | BOOST_FORCEINLINE std::size_t find_msb(uint128_type mask, std::integral_constant<int, 0> const&) |
| 176 | { |
| 177 | union |
| 178 | { |
| 179 | uint128_type v; |
| 180 | std::uint64_t sv[2]; |
| 181 | } val; |
| 182 | val.v = mask; |
| 183 | #if BOOST_MP_ENDIAN_LITTLE_BYTE |
| 184 | if (val.sv[1]) |
| 185 | return find_msb(mask: val.sv[1], std::integral_constant<int, 3>()) + 64; |
| 186 | return find_msb(mask: val.sv[0], std::integral_constant<int, 3>()); |
| 187 | #else |
| 188 | if (val.sv[0]) |
| 189 | return find_msb(val.sv[0], std::integral_constant<int, 3>()) + 64; |
| 190 | return find_msb(val.sv[1], std::integral_constant<int, 3>()); |
| 191 | #endif |
| 192 | } |
| 193 | BOOST_FORCEINLINE std::size_t find_lsb(uint128_type mask, std::integral_constant<int, 0> const&) |
| 194 | { |
| 195 | union |
| 196 | { |
| 197 | uint128_type v; |
| 198 | std::uint64_t sv[2]; |
| 199 | } val; |
| 200 | val.v = mask; |
| 201 | #if BOOST_MP_ENDIAN_LITTLE_BYTE |
| 202 | if (val.sv[0] == 0) |
| 203 | return find_lsb(mask: val.sv[1], std::integral_constant<int, 3>()) + 64; |
| 204 | return find_lsb(mask: val.sv[0], std::integral_constant<int, 3>()); |
| 205 | #else |
| 206 | if (val.sv[1] == 0) |
| 207 | return find_lsb(val.sv[0], std::integral_constant<int, 3>()) + 64; |
| 208 | return find_lsb(val.sv[1], std::integral_constant<int, 3>()); |
| 209 | #endif |
| 210 | } |
| 211 | #endif |
| 212 | |
| 213 | template <class Unsigned> |
| 214 | BOOST_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR std::size_t find_lsb(Unsigned mask) |
| 215 | { |
| 216 | using ui_type = typename boost::multiprecision::detail::make_unsigned<Unsigned>::type; |
| 217 | using tag_type = typename std::conditional< |
| 218 | sizeof(Unsigned) <= sizeof(unsigned), |
| 219 | std::integral_constant<int, 1>, |
| 220 | typename std::conditional< |
| 221 | sizeof(Unsigned) <= sizeof(unsigned long), |
| 222 | std::integral_constant<int, 2>, |
| 223 | typename std::conditional< |
| 224 | sizeof(Unsigned) <= sizeof(unsigned long long), |
| 225 | std::integral_constant<int, 3>, |
| 226 | std::integral_constant<int, 0> >::type>::type>::type; |
| 227 | #ifndef BOOST_MP_NO_CONSTEXPR_DETECTION |
| 228 | if (BOOST_MP_IS_CONST_EVALUATED(mask)) |
| 229 | { |
| 230 | return find_lsb_default(mask); |
| 231 | } |
| 232 | else |
| 233 | #endif |
| 234 | return find_lsb(static_cast<ui_type>(mask), tag_type()); |
| 235 | } |
| 236 | template <class Unsigned> |
| 237 | BOOST_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR std::size_t find_msb(Unsigned mask) |
| 238 | { |
| 239 | using ui_type = typename boost::multiprecision::detail::make_unsigned<Unsigned>::type; |
| 240 | using tag_type = typename std::conditional< |
| 241 | sizeof(Unsigned) <= sizeof(unsigned), |
| 242 | std::integral_constant<int, 1>, |
| 243 | typename std::conditional< |
| 244 | sizeof(Unsigned) <= sizeof(unsigned long), |
| 245 | std::integral_constant<int, 2>, |
| 246 | typename std::conditional< |
| 247 | sizeof(Unsigned) <= sizeof(unsigned long long), |
| 248 | std::integral_constant<int, 3>, |
| 249 | std::integral_constant<int, 0> >::type>::type>::type; |
| 250 | #ifndef BOOST_MP_NO_CONSTEXPR_DETECTION |
| 251 | if (BOOST_MP_IS_CONST_EVALUATED(mask)) |
| 252 | { |
| 253 | return find_msb_default(mask); |
| 254 | } |
| 255 | else |
| 256 | #endif |
| 257 | return find_msb(static_cast<ui_type>(mask), tag_type()); |
| 258 | } |
| 259 | #elif defined(BOOST_INTEL) |
| 260 | BOOST_FORCEINLINE std::size_t find_lsb(std::size_t mask, std::integral_constant<int, 1> const&) |
| 261 | { |
| 262 | return _bit_scan_forward(mask); |
| 263 | } |
| 264 | BOOST_FORCEINLINE std::size_t find_msb(std::size_t mask, std::integral_constant<int, 1> const&) |
| 265 | { |
| 266 | return _bit_scan_reverse(mask); |
| 267 | } |
| 268 | template <class Unsigned> |
| 269 | BOOST_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR std::size_t find_lsb(Unsigned mask) |
| 270 | { |
| 271 | using ui_type = typename boost::multiprecision::detail::make_unsigned<Unsigned>::type; |
| 272 | using tag_type = typename std::conditional< |
| 273 | sizeof(Unsigned) <= sizeof(unsigned), |
| 274 | std::integral_constant<int, 1>, |
| 275 | std::integral_constant<int, 0> >::type; |
| 276 | #ifndef BOOST_MP_NO_CONSTEXPR_DETECTION |
| 277 | if (BOOST_MP_IS_CONST_EVALUATED(mask)) |
| 278 | { |
| 279 | return find_lsb_default(mask); |
| 280 | } |
| 281 | else |
| 282 | #endif |
| 283 | return find_lsb(static_cast<ui_type>(mask), tag_type()); |
| 284 | } |
| 285 | template <class Unsigned> |
| 286 | BOOST_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR std::size_t find_msb(Unsigned mask) |
| 287 | { |
| 288 | using ui_type = typename boost::multiprecision::detail::make_unsigned<Unsigned>::type; |
| 289 | using tag_type = typename std::conditional< |
| 290 | sizeof(Unsigned) <= sizeof(unsigned), |
| 291 | std::integral_constant<int, 1>, |
| 292 | std::integral_constant<int, 0> >::type; |
| 293 | #ifndef BOOST_MP_NO_CONSTEXPR_DETECTION |
| 294 | if (BOOST_MP_IS_CONST_EVALUATED(mask)) |
| 295 | { |
| 296 | return find_msb_default(mask); |
| 297 | } |
| 298 | else |
| 299 | #endif |
| 300 | return find_msb(static_cast<ui_type>(mask), tag_type()); |
| 301 | } |
| 302 | #else |
| 303 | template <class Unsigned> |
| 304 | BOOST_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR std::size_t find_lsb(Unsigned mask) |
| 305 | { |
| 306 | return find_lsb(mask, std::integral_constant<int, 0>()); |
| 307 | } |
| 308 | template <class Unsigned> |
| 309 | BOOST_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR std::size_t find_msb(Unsigned mask) |
| 310 | { |
| 311 | return find_msb(mask, std::integral_constant<int, 0>()); |
| 312 | } |
| 313 | #endif |
| 314 | |
| 315 | }}} // namespace boost::multiprecision::detail |
| 316 | |
| 317 | #endif |
| 318 | |