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1 | //////////////////3///////////////////////////////////////////// |
2 | // Copyright 2012 John Maddock. Distributed under the Boost | |
3 | // Software License, Version 1.0. (See accompanying file | |
4 | // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_ | |
5 | ||
6 | #ifndef BOOST_MP_CPP_INT_HPP | |
7 | #define BOOST_MP_CPP_INT_HPP | |
8 | ||
9 | #include <iostream> | |
10 | #include <iomanip> | |
11 | #include <boost/cstdint.hpp> | |
12 | #include <boost/multiprecision/number.hpp> | |
13 | #include <boost/multiprecision/detail/integer_ops.hpp> | |
14 | #include <boost/array.hpp> | |
15 | #include <boost/type_traits/is_integral.hpp> | |
16 | #include <boost/type_traits/is_floating_point.hpp> | |
17 | #include <boost/multiprecision/cpp_int/cpp_int_config.hpp> | |
18 | #include <boost/multiprecision/rational_adaptor.hpp> | |
19 | #include <boost/multiprecision/traits/is_byte_container.hpp> | |
20 | #include <boost/detail/endian.hpp> | |
21 | #include <boost/integer/static_min_max.hpp> | |
22 | #include <boost/type_traits/common_type.hpp> | |
23 | #include <boost/type_traits/make_signed.hpp> | |
24 | #include <boost/multiprecision/cpp_int/checked.hpp> | |
25 | #ifdef BOOST_MP_USER_DEFINED_LITERALS | |
26 | #include <boost/multiprecision/cpp_int/value_pack.hpp> | |
27 | #endif | |
28 | ||
29 | namespace boost{ | |
30 | namespace multiprecision{ | |
31 | namespace backends{ | |
32 | ||
33 | using boost::enable_if; | |
34 | ||
35 | ||
36 | #ifdef BOOST_MSVC | |
37 | #pragma warning(push) | |
38 | #pragma warning(disable:4307) // integral constant overflow (oveflow is in a branch not taken when it would overflow) | |
39 | #pragma warning(disable:4127) // conditional expression is constant | |
40 | #pragma warning(disable:4702) // Unreachable code (reachability depends on template params) | |
41 | #endif | |
42 | ||
43 | template <unsigned MinBits = 0, unsigned MaxBits = 0, boost::multiprecision::cpp_integer_type SignType = signed_magnitude, cpp_int_check_type Checked = unchecked, class Allocator = typename mpl::if_c<MinBits && (MinBits == MaxBits), void, std::allocator<limb_type> >::type > | |
44 | struct cpp_int_backend; | |
45 | ||
46 | } // namespace backends | |
47 | ||
48 | namespace detail { | |
49 | ||
50 | template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, cpp_int_check_type Checked, class Allocator> | |
51 | struct is_byte_container<backends::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> > : public boost::false_type {}; | |
52 | ||
53 | } // namespace detail | |
54 | ||
55 | namespace backends{ | |
56 | ||
57 | template <unsigned MinBits, unsigned MaxBits, cpp_integer_type SignType, cpp_int_check_type Checked, class Allocator, bool trivial = false> | |
58 | struct cpp_int_base; | |
59 | // | |
60 | // Traits class determines the maximum and minimum precision values: | |
61 | // | |
62 | template <class T> struct max_precision; | |
63 | ||
64 | template <unsigned MinBits, unsigned MaxBits, cpp_integer_type SignType, cpp_int_check_type Checked, class Allocator> | |
65 | struct max_precision<cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> > | |
66 | { | |
67 | static const unsigned value = is_void<Allocator>::value ? | |
68 | static_unsigned_max<MinBits, MaxBits>::value | |
69 | : (((MaxBits >= MinBits) && MaxBits) ? MaxBits : UINT_MAX); | |
70 | }; | |
71 | ||
72 | template <class T> struct min_precision; | |
73 | ||
74 | template <unsigned MinBits, unsigned MaxBits, cpp_integer_type SignType, cpp_int_check_type Checked, class Allocator> | |
75 | struct min_precision<cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> > | |
76 | { | |
77 | static const unsigned value = (is_void<Allocator>::value ? static_unsigned_max<MinBits, MaxBits>::value : MinBits); | |
78 | }; | |
79 | // | |
80 | // Traits class determines whether the number of bits precision requested could fit in a native type, | |
81 | // we call this a "trivial" cpp_int: | |
82 | // | |
83 | template <class T> | |
84 | struct is_trivial_cpp_int | |
85 | { | |
86 | static const bool value = false; | |
87 | }; | |
88 | ||
89 | template <unsigned MinBits, unsigned MaxBits, cpp_integer_type SignType, cpp_int_check_type Checked, class Allocator> | |
90 | struct is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> > | |
91 | { | |
92 | typedef cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> self; | |
93 | static const bool value = is_void<Allocator>::value && (max_precision<self>::value <= (sizeof(double_limb_type) * CHAR_BIT) - (SignType == signed_packed ? 1 : 0)); | |
94 | }; | |
95 | ||
96 | template <unsigned MinBits, unsigned MaxBits, cpp_integer_type SignType, cpp_int_check_type Checked, class Allocator> | |
97 | struct is_trivial_cpp_int<cpp_int_base<MinBits, MaxBits, SignType, Checked, Allocator, true> > | |
98 | { | |
99 | static const bool value = true; | |
100 | }; | |
101 | ||
102 | } // namespace backends | |
103 | // | |
104 | // Traits class to determine whether a cpp_int_backend is signed or not: | |
105 | // | |
106 | template <unsigned MinBits, unsigned MaxBits, cpp_integer_type SignType, cpp_int_check_type Checked, class Allocator> | |
107 | struct is_unsigned_number<backends::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> > | |
108 | : public mpl::bool_<(SignType == unsigned_magnitude) || (SignType == unsigned_packed)>{}; | |
109 | ||
110 | namespace backends{ | |
111 | // | |
112 | // Traits class determines whether T should be implicitly convertible to U, or | |
113 | // whether the constructor should be made explicit. The latter happens if we | |
114 | // are losing the sign, or have fewer digits precision in the target type: | |
115 | // | |
116 | template <class T, class U> | |
117 | struct is_implicit_cpp_int_conversion; | |
118 | ||
119 | template <unsigned MinBits, unsigned MaxBits, cpp_integer_type SignType, cpp_int_check_type Checked, class Allocator, unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2> | |
120 | struct is_implicit_cpp_int_conversion<cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> > | |
121 | { | |
122 | typedef cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> t1; | |
123 | typedef cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> t2; | |
124 | static const bool value = | |
125 | (is_signed_number<t2>::value || !is_signed_number<t1>::value) | |
126 | && (max_precision<t1>::value <= max_precision<t2>::value); | |
127 | }; | |
128 | ||
129 | // | |
130 | // Traits class to determine whether operations on a cpp_int may throw: | |
131 | // | |
132 | template <class T> | |
133 | struct is_non_throwing_cpp_int : public mpl::false_{}; | |
134 | template <unsigned MinBits, unsigned MaxBits, cpp_integer_type SignType> | |
135 | struct is_non_throwing_cpp_int<cpp_int_backend<MinBits, MaxBits, SignType, unchecked, void> > : public mpl::true_ {}; | |
136 | ||
137 | // | |
138 | // Traits class, determines whether the cpp_int is fixed precision or not: | |
139 | // | |
140 | template <class T> | |
141 | struct is_fixed_precision; | |
142 | template <unsigned MinBits, unsigned MaxBits, cpp_integer_type SignType, cpp_int_check_type Checked, class Allocator> | |
143 | struct is_fixed_precision<cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> > | |
144 | : public mpl::bool_<max_precision<cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> >::value != UINT_MAX> {}; | |
145 | ||
146 | namespace detail{ | |
147 | ||
148 | inline void verify_new_size(unsigned new_size, unsigned min_size, const mpl::int_<checked>&) | |
149 | { | |
150 | if(new_size < min_size) | |
151 | BOOST_THROW_EXCEPTION(std::overflow_error("Unable to allocate sufficient storage for the value of the result: value overflows the maximum allowable magnitude.")); | |
152 | } | |
153 | inline void verify_new_size(unsigned /*new_size*/, unsigned /*min_size*/, const mpl::int_<unchecked>&){} | |
154 | ||
155 | template <class U> | |
156 | inline void verify_limb_mask(bool b, U limb, U mask, const mpl::int_<checked>&) | |
157 | { | |
158 | // When we mask out "limb" with "mask", do we loose bits? If so it's an overflow error: | |
159 | if(b && (limb & ~mask)) | |
160 | BOOST_THROW_EXCEPTION(std::overflow_error("Overflow in cpp_int arithmetic: there is insufficient precision in the target type to hold all of the bits of the result.")); | |
161 | } | |
162 | template <class U> | |
163 | inline void verify_limb_mask(bool /*b*/, U /*limb*/, U /*mask*/, const mpl::int_<unchecked>&){} | |
164 | ||
165 | } | |
166 | ||
167 | // | |
168 | // Now define the various data layouts that are possible as partial specializations of the base class, | |
169 | // starting with the default arbitrary precision signed integer type: | |
170 | // | |
171 | template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class Allocator> | |
172 | struct cpp_int_base<MinBits, MaxBits, signed_magnitude, Checked, Allocator, false> : private Allocator::template rebind<limb_type>::other | |
173 | { | |
11fdf7f2 TL |
174 | typedef typename Allocator::template rebind<limb_type>::other allocator_type; |
175 | #ifdef BOOST_NO_CXX11_ALLOCATOR | |
176 | typedef typename allocator_type::pointer limb_pointer; | |
177 | typedef typename allocator_type::const_pointer const_limb_pointer; | |
178 | #else | |
179 | typedef typename std::allocator_traits<allocator_type>::pointer limb_pointer; | |
180 | typedef typename std::allocator_traits<allocator_type>::const_pointer const_limb_pointer; | |
181 | #endif | |
182 | typedef mpl::int_<Checked> checked_type; | |
7c673cae FG |
183 | |
184 | // | |
185 | // Interface invariants: | |
186 | // | |
187 | BOOST_STATIC_ASSERT(!is_void<Allocator>::value); | |
188 | ||
189 | private: | |
190 | struct limb_data | |
191 | { | |
192 | unsigned capacity; | |
193 | limb_pointer data; | |
194 | }; | |
195 | ||
196 | public: | |
197 | BOOST_STATIC_CONSTANT(unsigned, limb_bits = sizeof(limb_type) * CHAR_BIT); | |
198 | BOOST_STATIC_CONSTANT(limb_type, max_limb_value = ~static_cast<limb_type>(0u)); | |
199 | BOOST_STATIC_CONSTANT(limb_type, sign_bit_mask = static_cast<limb_type>(1u) << (limb_bits - 1)); | |
200 | BOOST_STATIC_CONSTANT(unsigned, internal_limb_count = | |
201 | MinBits | |
202 | ? (MinBits / limb_bits + ((MinBits % limb_bits) ? 1 : 0)) | |
203 | : (sizeof(limb_data) / sizeof(limb_type))); | |
204 | BOOST_STATIC_CONSTANT(bool, variable = true); | |
205 | ||
206 | private: | |
207 | union data_type | |
208 | { | |
209 | limb_data ld; | |
210 | limb_type la[internal_limb_count]; | |
211 | limb_type first; | |
212 | double_limb_type double_first; | |
213 | ||
214 | BOOST_CONSTEXPR data_type() : first(0) {} | |
215 | BOOST_CONSTEXPR data_type(limb_type i) : first(i) {} | |
216 | BOOST_CONSTEXPR data_type(signed_limb_type i) : first(i < 0 ? static_cast<limb_type>(boost::multiprecision::detail::unsigned_abs(i)) : i) {} | |
217 | #ifdef BOOST_LITTLE_ENDIAN | |
218 | BOOST_CONSTEXPR data_type(double_limb_type i) : double_first(i) {} | |
219 | BOOST_CONSTEXPR data_type(signed_double_limb_type i) : double_first(i < 0 ? static_cast<double_limb_type>(boost::multiprecision::detail::unsigned_abs(i)) : i) {} | |
220 | #endif | |
221 | }; | |
222 | ||
223 | data_type m_data; | |
224 | unsigned m_limbs; | |
225 | bool m_sign, m_internal; | |
226 | ||
227 | public: | |
228 | // | |
229 | // Direct construction: | |
230 | // | |
231 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base(limb_type i)BOOST_NOEXCEPT | |
232 | : m_data(i), m_limbs(1), m_sign(false), m_internal(true) { } | |
233 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base(signed_limb_type i)BOOST_NOEXCEPT | |
234 | : m_data(i), m_limbs(1), m_sign(i < 0), m_internal(true) { } | |
235 | #if defined(BOOST_LITTLE_ENDIAN) && !defined(BOOST_MP_TEST_NO_LE) | |
236 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base(double_limb_type i)BOOST_NOEXCEPT | |
237 | : m_data(i), m_limbs(i > max_limb_value ? 2 : 1), m_sign(false), m_internal(true) { } | |
238 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base(signed_double_limb_type i)BOOST_NOEXCEPT | |
239 | : m_data(i), m_limbs(i < 0 ? (static_cast<double_limb_type>(boost::multiprecision::detail::unsigned_abs(i)) > static_cast<double_limb_type>(max_limb_value) ? 2 : 1) : (i > max_limb_value ? 2 : 1)), | |
240 | m_sign(i < 0), m_internal(true) { } | |
241 | #endif | |
242 | // | |
243 | // Helper functions for getting at our internal data, and manipulating storage: | |
244 | // | |
245 | BOOST_MP_FORCEINLINE allocator_type& allocator() BOOST_NOEXCEPT { return *this; } | |
246 | BOOST_MP_FORCEINLINE const allocator_type& allocator()const BOOST_NOEXCEPT { return *this; } | |
247 | BOOST_MP_FORCEINLINE unsigned size()const BOOST_NOEXCEPT { return m_limbs; } | |
248 | BOOST_MP_FORCEINLINE limb_pointer limbs() BOOST_NOEXCEPT { return m_internal ? m_data.la : m_data.ld.data; } | |
249 | BOOST_MP_FORCEINLINE const_limb_pointer limbs()const BOOST_NOEXCEPT { return m_internal ? m_data.la : m_data.ld.data; } | |
250 | BOOST_MP_FORCEINLINE unsigned capacity()const BOOST_NOEXCEPT { return m_internal ? internal_limb_count : m_data.ld.capacity; } | |
251 | BOOST_MP_FORCEINLINE bool sign()const BOOST_NOEXCEPT { return m_sign; } | |
252 | void sign(bool b) BOOST_NOEXCEPT | |
253 | { | |
254 | m_sign = b; | |
255 | // Check for zero value: | |
256 | if(m_sign && (m_limbs == 1)) | |
257 | { | |
258 | if(limbs()[0] == 0) | |
259 | m_sign = false; | |
260 | } | |
261 | } | |
262 | void resize(unsigned new_size, unsigned min_size) | |
263 | { | |
264 | static const unsigned max_limbs = MaxBits / (CHAR_BIT * sizeof(limb_type)) + ((MaxBits % (CHAR_BIT * sizeof(limb_type))) ? 1 : 0); | |
265 | // We never resize beyond MaxSize: | |
266 | if(new_size > max_limbs) | |
267 | new_size = max_limbs; | |
268 | detail::verify_new_size(new_size, min_size, checked_type()); | |
269 | // See if we have enough capacity already: | |
270 | unsigned cap = capacity(); | |
271 | if(new_size > cap) | |
272 | { | |
273 | // Allocate a new buffer and copy everything over: | |
274 | cap = (std::min)((std::max)(cap * 4, new_size), max_limbs); | |
275 | limb_pointer pl = allocator().allocate(cap); | |
276 | std::memcpy(pl, limbs(), size() * sizeof(limbs()[0])); | |
277 | if(!m_internal) | |
278 | allocator().deallocate(limbs(), capacity()); | |
279 | else | |
280 | m_internal = false; | |
281 | m_limbs = new_size; | |
282 | m_data.ld.capacity = cap; | |
283 | m_data.ld.data = pl; | |
284 | } | |
285 | else | |
286 | { | |
287 | m_limbs = new_size; | |
288 | } | |
289 | } | |
290 | BOOST_MP_FORCEINLINE void normalize() BOOST_NOEXCEPT | |
291 | { | |
292 | limb_pointer p = limbs(); | |
293 | while((m_limbs-1) && !p[m_limbs - 1])--m_limbs; | |
294 | } | |
295 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base() BOOST_NOEXCEPT : m_data(), m_limbs(1), m_sign(false), m_internal(true) {} | |
296 | BOOST_MP_FORCEINLINE cpp_int_base(const cpp_int_base& o) : allocator_type(o), m_limbs(0), m_internal(true) | |
297 | { | |
298 | resize(o.size(), o.size()); | |
299 | std::memcpy(limbs(), o.limbs(), o.size() * sizeof(limbs()[0])); | |
300 | m_sign = o.m_sign; | |
301 | } | |
302 | #ifndef BOOST_NO_CXX11_RVALUE_REFERENCES | |
303 | cpp_int_base(cpp_int_base&& o) | |
304 | : allocator_type(static_cast<allocator_type&&>(o)), m_limbs(o.m_limbs), m_sign(o.m_sign), m_internal(o.m_internal) | |
305 | { | |
306 | if(m_internal) | |
307 | { | |
308 | std::memcpy(limbs(), o.limbs(), o.size() * sizeof(limbs()[0])); | |
309 | } | |
310 | else | |
311 | { | |
312 | m_data.ld = o.m_data.ld; | |
313 | o.m_limbs = 0; | |
314 | o.m_internal = true; | |
315 | } | |
316 | } | |
317 | cpp_int_base& operator = (cpp_int_base&& o) BOOST_NOEXCEPT | |
318 | { | |
319 | if(!m_internal) | |
320 | allocator().deallocate(m_data.ld.data, m_data.ld.capacity); | |
321 | *static_cast<allocator_type*>(this) = static_cast<allocator_type&&>(o); | |
322 | m_limbs = o.m_limbs; | |
323 | m_sign = o.m_sign; | |
324 | m_internal = o.m_internal; | |
325 | if(m_internal) | |
326 | { | |
327 | std::memcpy(limbs(), o.limbs(), o.size() * sizeof(limbs()[0])); | |
328 | } | |
329 | else | |
330 | { | |
331 | m_data.ld = o.m_data.ld; | |
332 | o.m_limbs = 0; | |
333 | o.m_internal = true; | |
334 | } | |
335 | return *this; | |
336 | } | |
337 | #endif | |
338 | BOOST_MP_FORCEINLINE ~cpp_int_base() BOOST_NOEXCEPT | |
339 | { | |
340 | if(!m_internal) | |
341 | allocator().deallocate(limbs(), capacity()); | |
342 | } | |
343 | void assign(const cpp_int_base& o) | |
344 | { | |
345 | if(this != &o) | |
346 | { | |
347 | static_cast<allocator_type&>(*this) = static_cast<const allocator_type&>(o); | |
348 | m_limbs = 0; | |
349 | resize(o.size(), o.size()); | |
350 | std::memcpy(limbs(), o.limbs(), o.size() * sizeof(limbs()[0])); | |
351 | m_sign = o.m_sign; | |
352 | } | |
353 | } | |
354 | BOOST_MP_FORCEINLINE void negate() BOOST_NOEXCEPT | |
355 | { | |
356 | m_sign = !m_sign; | |
357 | // Check for zero value: | |
358 | if(m_sign && (m_limbs == 1)) | |
359 | { | |
360 | if(limbs()[0] == 0) | |
361 | m_sign = false; | |
362 | } | |
363 | } | |
364 | BOOST_MP_FORCEINLINE bool isneg()const BOOST_NOEXCEPT | |
365 | { | |
366 | return m_sign; | |
367 | } | |
368 | BOOST_MP_FORCEINLINE void do_swap(cpp_int_base& o) BOOST_NOEXCEPT | |
369 | { | |
370 | std::swap(m_data, o.m_data); | |
371 | std::swap(m_sign, o.m_sign); | |
372 | std::swap(m_internal, o.m_internal); | |
373 | std::swap(m_limbs, o.m_limbs); | |
374 | } | |
375 | protected: | |
376 | template <class A> | |
377 | void check_in_range(const A&) BOOST_NOEXCEPT {} | |
378 | }; | |
379 | ||
380 | #ifndef BOOST_NO_INCLASS_MEMBER_INITIALIZATION | |
381 | ||
382 | template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class Allocator> | |
383 | const unsigned cpp_int_base<MinBits, MaxBits, signed_magnitude, Checked, Allocator, false>::limb_bits; | |
384 | template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class Allocator> | |
385 | const limb_type cpp_int_base<MinBits, MaxBits, signed_magnitude, Checked, Allocator, false>::max_limb_value; | |
386 | template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class Allocator> | |
387 | const limb_type cpp_int_base<MinBits, MaxBits, signed_magnitude, Checked, Allocator, false>::sign_bit_mask; | |
388 | template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class Allocator> | |
389 | const unsigned cpp_int_base<MinBits, MaxBits, signed_magnitude, Checked, Allocator, false>::internal_limb_count; | |
390 | template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class Allocator> | |
391 | const bool cpp_int_base<MinBits, MaxBits, signed_magnitude, Checked, Allocator, false>::variable; | |
392 | ||
393 | #endif | |
394 | ||
395 | template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class Allocator> | |
396 | struct cpp_int_base<MinBits, MaxBits, unsigned_magnitude, Checked, Allocator, false> : private Allocator::template rebind<limb_type>::other | |
397 | { | |
398 | // | |
399 | // There is currently no support for unsigned arbitrary precision arithmetic, largely | |
400 | // because it's not clear what subtraction should do: | |
401 | // | |
402 | BOOST_STATIC_ASSERT_MSG(((sizeof(Allocator) == 0) && !is_void<Allocator>::value), "There is curently no support for unsigned arbitrary precision integers."); | |
403 | }; | |
404 | // | |
405 | // Fixed precision (i.e. no allocator), signed-magnitude type with limb-usage count: | |
406 | // | |
407 | template <unsigned MinBits, cpp_int_check_type Checked> | |
408 | struct cpp_int_base<MinBits, MinBits, signed_magnitude, Checked, void, false> | |
409 | { | |
410 | typedef limb_type* limb_pointer; | |
411 | typedef const limb_type* const_limb_pointer; | |
412 | typedef mpl::int_<Checked> checked_type; | |
413 | ||
414 | // | |
415 | // Interface invariants: | |
416 | // | |
417 | BOOST_STATIC_ASSERT_MSG(MinBits > sizeof(double_limb_type) * CHAR_BIT, "Template parameter MinBits is inconsistent with the parameter trivial - did you mistakingly try to override the trivial parameter?"); | |
418 | ||
419 | public: | |
420 | BOOST_STATIC_CONSTANT(unsigned, limb_bits = sizeof(limb_type) * CHAR_BIT); | |
421 | BOOST_STATIC_CONSTANT(limb_type, max_limb_value = ~static_cast<limb_type>(0u)); | |
422 | BOOST_STATIC_CONSTANT(limb_type, sign_bit_mask = static_cast<limb_type>(1u) << (limb_bits - 1)); | |
423 | BOOST_STATIC_CONSTANT(unsigned, internal_limb_count = MinBits / limb_bits + ((MinBits % limb_bits) ? 1 : 0)); | |
424 | BOOST_STATIC_CONSTANT(bool, variable = false); | |
425 | BOOST_STATIC_CONSTANT(limb_type, upper_limb_mask = (MinBits % limb_bits) ? (limb_type(1) << (MinBits % limb_bits)) -1 : (~limb_type(0))); | |
426 | BOOST_STATIC_ASSERT_MSG(internal_limb_count >= 2, "A fixed precision integer type must have at least 2 limbs"); | |
427 | ||
428 | private: | |
429 | union data_type{ | |
430 | limb_type m_data[internal_limb_count]; | |
431 | limb_type m_first_limb; | |
432 | double_limb_type m_double_first_limb; | |
433 | ||
434 | BOOST_CONSTEXPR data_type() : m_first_limb(0) {} | |
435 | BOOST_CONSTEXPR data_type(limb_type i) : m_first_limb(i) {} | |
436 | BOOST_CONSTEXPR data_type(double_limb_type i) : m_double_first_limb(i) {} | |
437 | #if defined(BOOST_MP_USER_DEFINED_LITERALS) | |
438 | template <limb_type...VALUES> | |
439 | BOOST_CONSTEXPR data_type(literals::detail::value_pack<VALUES...>) : m_data{ VALUES... } {} | |
440 | #endif | |
441 | } m_wrapper; | |
442 | boost::uint16_t m_limbs; | |
443 | bool m_sign; | |
444 | ||
445 | public: | |
446 | // | |
447 | // Direct construction: | |
448 | // | |
449 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base(limb_type i)BOOST_NOEXCEPT | |
450 | : m_wrapper(i), m_limbs(1), m_sign(false) {} | |
451 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base(signed_limb_type i)BOOST_NOEXCEPT | |
452 | : m_wrapper(limb_type(i < 0 ? static_cast<limb_type>(-static_cast<signed_double_limb_type>(i)) : i)), m_limbs(1), m_sign(i < 0) {} | |
453 | #if defined(BOOST_LITTLE_ENDIAN) && !defined(BOOST_MP_TEST_NO_LE) | |
454 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base(double_limb_type i)BOOST_NOEXCEPT | |
455 | : m_wrapper(i), m_limbs(i > max_limb_value ? 2 : 1), m_sign(false) {} | |
456 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base(signed_double_limb_type i)BOOST_NOEXCEPT | |
457 | : m_wrapper(double_limb_type(i < 0 ? static_cast<double_limb_type>(boost::multiprecision::detail::unsigned_abs(i)) : i)), | |
458 | m_limbs(i < 0 ? (static_cast<double_limb_type>(boost::multiprecision::detail::unsigned_abs(i)) > max_limb_value ? 2 : 1) : (i > max_limb_value ? 2 : 1)), | |
459 | m_sign(i < 0) {} | |
460 | #endif | |
461 | #if defined(BOOST_MP_USER_DEFINED_LITERALS) | |
462 | template <limb_type...VALUES> | |
463 | BOOST_CONSTEXPR cpp_int_base(literals::detail::value_pack<VALUES...> i) | |
464 | : m_wrapper(i), m_limbs(sizeof...(VALUES)), m_sign(false) {} | |
465 | BOOST_CONSTEXPR cpp_int_base(literals::detail::value_pack<> i) | |
466 | : m_wrapper(i), m_limbs(1), m_sign(false) {} | |
467 | BOOST_CONSTEXPR cpp_int_base(const cpp_int_base& a, const literals::detail::negate_tag&) | |
468 | : m_wrapper(a.m_wrapper), m_limbs(a.m_limbs), m_sign((a.m_limbs == 1) && (*a.limbs() == 0) ? false : !a.m_sign) {} | |
469 | #endif | |
470 | // | |
471 | // Helper functions for getting at our internal data, and manipulating storage: | |
472 | // | |
473 | BOOST_MP_FORCEINLINE unsigned size()const BOOST_NOEXCEPT { return m_limbs; } | |
474 | BOOST_MP_FORCEINLINE limb_pointer limbs() BOOST_NOEXCEPT { return m_wrapper.m_data; } | |
475 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR const_limb_pointer limbs()const BOOST_NOEXCEPT { return m_wrapper.m_data; } | |
476 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR bool sign()const BOOST_NOEXCEPT { return m_sign; } | |
477 | BOOST_MP_FORCEINLINE void sign(bool b) BOOST_NOEXCEPT | |
478 | { | |
479 | m_sign = b; | |
480 | // Check for zero value: | |
481 | if(m_sign && (m_limbs == 1)) | |
482 | { | |
483 | if(limbs()[0] == 0) | |
484 | m_sign = false; | |
485 | } | |
486 | } | |
487 | BOOST_MP_FORCEINLINE void resize(unsigned new_size, unsigned min_size) BOOST_MP_NOEXCEPT_IF((Checked == unchecked)) | |
488 | { | |
489 | m_limbs = static_cast<boost::uint16_t>((std::min)(new_size, internal_limb_count)); | |
490 | detail::verify_new_size(m_limbs, min_size, checked_type()); | |
491 | } | |
492 | BOOST_MP_FORCEINLINE void normalize() BOOST_MP_NOEXCEPT_IF((Checked == unchecked)) | |
493 | { | |
494 | limb_pointer p = limbs(); | |
495 | detail::verify_limb_mask(m_limbs == internal_limb_count, p[internal_limb_count-1], upper_limb_mask, checked_type()); | |
496 | p[internal_limb_count-1] &= upper_limb_mask; | |
497 | while((m_limbs-1) && !p[m_limbs - 1])--m_limbs; | |
498 | if((m_limbs == 1) && (!*p)) m_sign = false; // zero is always unsigned | |
499 | } | |
500 | ||
501 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base()BOOST_NOEXCEPT : m_wrapper(limb_type(0u)), m_limbs(1), m_sign(false) {} | |
502 | // Not defaulted, it breaks constexpr support in the Intel compiler for some reason: | |
503 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base(const cpp_int_base& o)BOOST_NOEXCEPT | |
504 | : m_wrapper(o.m_wrapper), m_limbs(o.m_limbs), m_sign(o.m_sign) {} | |
505 | // Defaulted functions: | |
506 | //~cpp_int_base() BOOST_NOEXCEPT {} | |
507 | ||
508 | void assign(const cpp_int_base& o) BOOST_NOEXCEPT | |
509 | { | |
510 | if(this != &o) | |
511 | { | |
512 | m_limbs = o.m_limbs; | |
513 | std::memcpy(limbs(), o.limbs(), o.size() * sizeof(o.limbs()[0])); | |
514 | m_sign = o.m_sign; | |
515 | } | |
516 | } | |
517 | BOOST_MP_FORCEINLINE void negate() BOOST_NOEXCEPT | |
518 | { | |
519 | m_sign = !m_sign; | |
520 | // Check for zero value: | |
521 | if(m_sign && (m_limbs == 1)) | |
522 | { | |
523 | if(limbs()[0] == 0) | |
524 | m_sign = false; | |
525 | } | |
526 | } | |
527 | BOOST_MP_FORCEINLINE bool isneg()const BOOST_NOEXCEPT | |
528 | { | |
529 | return m_sign; | |
530 | } | |
531 | BOOST_MP_FORCEINLINE void do_swap(cpp_int_base& o) BOOST_NOEXCEPT | |
532 | { | |
533 | for(unsigned i = 0; i < (std::max)(size(), o.size()); ++i) | |
534 | std::swap(m_wrapper.m_data[i], o.m_wrapper.m_data[i]); | |
535 | std::swap(m_sign, o.m_sign); | |
536 | std::swap(m_limbs, o.m_limbs); | |
537 | } | |
538 | protected: | |
539 | template <class A> | |
540 | void check_in_range(const A&) BOOST_NOEXCEPT {} | |
541 | }; | |
542 | #ifndef BOOST_NO_INCLASS_MEMBER_INITIALIZATION | |
543 | ||
544 | template <unsigned MinBits, cpp_int_check_type Checked> | |
545 | const unsigned cpp_int_base<MinBits, MinBits, signed_magnitude, Checked, void, false>::limb_bits; | |
546 | template <unsigned MinBits, cpp_int_check_type Checked> | |
547 | const limb_type cpp_int_base<MinBits, MinBits, signed_magnitude, Checked, void, false>::max_limb_value; | |
548 | template <unsigned MinBits, cpp_int_check_type Checked> | |
549 | const limb_type cpp_int_base<MinBits, MinBits, signed_magnitude, Checked, void, false>::sign_bit_mask; | |
550 | template <unsigned MinBits, cpp_int_check_type Checked> | |
551 | const unsigned cpp_int_base<MinBits, MinBits, signed_magnitude, Checked, void, false>::internal_limb_count; | |
552 | template <unsigned MinBits, cpp_int_check_type Checked> | |
553 | const bool cpp_int_base<MinBits, MinBits, signed_magnitude, Checked, void, false>::variable; | |
554 | ||
555 | #endif | |
556 | // | |
557 | // Fixed precision (i.e. no allocator), unsigned type with limb-usage count: | |
558 | // | |
559 | template <unsigned MinBits, cpp_int_check_type Checked> | |
560 | struct cpp_int_base<MinBits, MinBits, unsigned_magnitude, Checked, void, false> | |
561 | { | |
562 | typedef limb_type* limb_pointer; | |
563 | typedef const limb_type* const_limb_pointer; | |
564 | typedef mpl::int_<Checked> checked_type; | |
565 | ||
566 | // | |
567 | // Interface invariants: | |
568 | // | |
569 | BOOST_STATIC_ASSERT_MSG(MinBits > sizeof(double_limb_type) * CHAR_BIT, "Template parameter MinBits is inconsistent with the parameter trivial - did you mistakingly try to override the trivial parameter?"); | |
570 | ||
571 | public: | |
572 | BOOST_STATIC_CONSTANT(unsigned, limb_bits = sizeof(limb_type) * CHAR_BIT); | |
573 | BOOST_STATIC_CONSTANT(limb_type, max_limb_value = ~static_cast<limb_type>(0u)); | |
574 | BOOST_STATIC_CONSTANT(limb_type, sign_bit_mask = static_cast<limb_type>(1u) << (limb_bits - 1)); | |
575 | BOOST_STATIC_CONSTANT(unsigned, internal_limb_count = MinBits / limb_bits + ((MinBits % limb_bits) ? 1 : 0)); | |
576 | BOOST_STATIC_CONSTANT(bool, variable = false); | |
577 | BOOST_STATIC_CONSTANT(limb_type, upper_limb_mask = (MinBits % limb_bits) ? (limb_type(1) << (MinBits % limb_bits)) -1 : (~limb_type(0))); | |
578 | BOOST_STATIC_ASSERT_MSG(internal_limb_count >= 2, "A fixed precision integer type must have at least 2 limbs"); | |
579 | ||
580 | private: | |
581 | union data_type{ | |
582 | limb_type m_data[internal_limb_count]; | |
583 | limb_type m_first_limb; | |
584 | double_limb_type m_double_first_limb; | |
585 | ||
586 | BOOST_CONSTEXPR data_type() : m_first_limb(0) {} | |
587 | BOOST_CONSTEXPR data_type(limb_type i) : m_first_limb(i) {} | |
588 | BOOST_CONSTEXPR data_type(double_limb_type i) : m_double_first_limb(i) {} | |
589 | #if defined(BOOST_MP_USER_DEFINED_LITERALS) | |
590 | template <limb_type...VALUES> | |
591 | BOOST_CONSTEXPR data_type(literals::detail::value_pack<VALUES...>) : m_data{ VALUES... } {} | |
592 | #endif | |
593 | } m_wrapper; | |
594 | limb_type m_limbs; | |
595 | ||
596 | public: | |
597 | // | |
598 | // Direct construction: | |
599 | // | |
600 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base(limb_type i)BOOST_NOEXCEPT | |
601 | : m_wrapper(i), m_limbs(1) {} | |
602 | BOOST_MP_FORCEINLINE cpp_int_base(signed_limb_type i)BOOST_MP_NOEXCEPT_IF((Checked == unchecked)) | |
603 | : m_wrapper(limb_type(i < 0 ? static_cast<limb_type>(-static_cast<signed_double_limb_type>(i)) : i)), m_limbs(1) { if(i < 0) negate(); } | |
604 | #if defined(BOOST_LITTLE_ENDIAN) && !defined(BOOST_MP_TEST_NO_LE) | |
605 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base(double_limb_type i)BOOST_NOEXCEPT | |
606 | : m_wrapper(i), m_limbs(i > max_limb_value ? 2 : 1) {} | |
607 | BOOST_MP_FORCEINLINE cpp_int_base(signed_double_limb_type i)BOOST_MP_NOEXCEPT_IF((Checked == unchecked)) | |
608 | : m_wrapper(double_limb_type(i < 0 ? static_cast<double_limb_type>(boost::multiprecision::detail::unsigned_abs(i)) : i)), | |
609 | m_limbs(i < 0 ? (static_cast<double_limb_type>(boost::multiprecision::detail::unsigned_abs(i)) > max_limb_value ? 2 : 1) : (i > max_limb_value ? 2 : 1)) | |
610 | { | |
611 | if (i < 0) negate(); | |
612 | } | |
613 | #endif | |
614 | #if defined(BOOST_MP_USER_DEFINED_LITERALS) | |
615 | template <limb_type...VALUES> | |
616 | BOOST_CONSTEXPR cpp_int_base(literals::detail::value_pack<VALUES...> i) | |
617 | : m_wrapper(i), m_limbs(sizeof...(VALUES)) {} | |
618 | BOOST_CONSTEXPR cpp_int_base(literals::detail::value_pack<>) | |
619 | : m_wrapper(static_cast<limb_type>(0u)), m_limbs(1) {} | |
620 | #endif | |
621 | // | |
622 | // Helper functions for getting at our internal data, and manipulating storage: | |
623 | // | |
624 | BOOST_MP_FORCEINLINE unsigned size()const BOOST_NOEXCEPT { return m_limbs; } | |
625 | BOOST_MP_FORCEINLINE limb_pointer limbs() BOOST_NOEXCEPT { return m_wrapper.m_data; } | |
626 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR const_limb_pointer limbs()const BOOST_NOEXCEPT { return m_wrapper.m_data; } | |
627 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR bool sign()const BOOST_NOEXCEPT { return false; } | |
628 | BOOST_MP_FORCEINLINE void sign(bool b) BOOST_MP_NOEXCEPT_IF((Checked == unchecked)) { if(b) negate(); } | |
629 | BOOST_MP_FORCEINLINE void resize(unsigned new_size, unsigned min_size) BOOST_MP_NOEXCEPT_IF((Checked == unchecked)) | |
630 | { | |
631 | m_limbs = (std::min)(new_size, internal_limb_count); | |
632 | detail::verify_new_size(m_limbs, min_size, checked_type()); | |
633 | } | |
634 | BOOST_MP_FORCEINLINE void normalize() BOOST_MP_NOEXCEPT_IF((Checked == unchecked)) | |
635 | { | |
636 | limb_pointer p = limbs(); | |
637 | detail::verify_limb_mask(m_limbs == internal_limb_count, p[internal_limb_count-1], upper_limb_mask, checked_type()); | |
638 | p[internal_limb_count-1] &= upper_limb_mask; | |
639 | while((m_limbs-1) && !p[m_limbs - 1])--m_limbs; | |
640 | } | |
641 | ||
642 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base() BOOST_NOEXCEPT | |
643 | : m_wrapper(limb_type(0u)), m_limbs(1) {} | |
644 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base(const cpp_int_base& o) BOOST_NOEXCEPT | |
645 | : m_wrapper(o.m_wrapper), m_limbs(o.m_limbs) {} | |
646 | // Defaulted functions: | |
647 | //~cpp_int_base() BOOST_NOEXCEPT {} | |
648 | ||
649 | BOOST_MP_FORCEINLINE void assign(const cpp_int_base& o) BOOST_NOEXCEPT | |
650 | { | |
651 | if(this != &o) | |
652 | { | |
653 | m_limbs = o.m_limbs; | |
654 | std::memcpy(limbs(), o.limbs(), o.size() * sizeof(limbs()[0])); | |
655 | } | |
656 | } | |
657 | private: | |
658 | void check_negate(const mpl::int_<checked>&) | |
659 | { | |
660 | BOOST_THROW_EXCEPTION(std::range_error("Attempt to negate an unsigned number.")); | |
661 | } | |
662 | void check_negate(const mpl::int_<unchecked>&){} | |
663 | public: | |
664 | void negate() BOOST_MP_NOEXCEPT_IF((Checked == unchecked)) | |
665 | { | |
666 | // Not so much a negate as a complement - this gets called when subtraction | |
667 | // would result in a "negative" number: | |
668 | unsigned i; | |
669 | if((m_limbs == 1) && (m_wrapper.m_data[0] == 0)) | |
670 | return; // negating zero is always zero, and always OK. | |
671 | check_negate(checked_type()); | |
672 | for(i = m_limbs; i < internal_limb_count; ++i) | |
673 | m_wrapper.m_data[i] = 0; | |
674 | m_limbs = internal_limb_count; | |
675 | for(i = 0; i < internal_limb_count; ++i) | |
676 | m_wrapper.m_data[i] = ~m_wrapper.m_data[i]; | |
677 | normalize(); | |
678 | eval_increment(static_cast<cpp_int_backend<MinBits, MinBits, unsigned_magnitude, Checked, void>& >(*this)); | |
679 | } | |
680 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR bool isneg()const BOOST_NOEXCEPT | |
681 | { | |
682 | return false; | |
683 | } | |
684 | BOOST_MP_FORCEINLINE void do_swap(cpp_int_base& o) BOOST_NOEXCEPT | |
685 | { | |
686 | for(unsigned i = 0; i < (std::max)(size(), o.size()); ++i) | |
687 | std::swap(m_wrapper.m_data[i], o.m_wrapper.m_data[i]); | |
688 | std::swap(m_limbs, o.m_limbs); | |
689 | } | |
690 | protected: | |
691 | template <class A> | |
692 | void check_in_range(const A&) BOOST_NOEXCEPT {} | |
693 | }; | |
694 | #ifndef BOOST_NO_INCLASS_MEMBER_INITIALIZATION | |
695 | ||
696 | template <unsigned MinBits, cpp_int_check_type Checked> | |
697 | const unsigned cpp_int_base<MinBits, MinBits, unsigned_magnitude, Checked, void, false>::limb_bits; | |
698 | template <unsigned MinBits, cpp_int_check_type Checked> | |
699 | const limb_type cpp_int_base<MinBits, MinBits, unsigned_magnitude, Checked, void, false>::max_limb_value; | |
700 | template <unsigned MinBits, cpp_int_check_type Checked> | |
701 | const limb_type cpp_int_base<MinBits, MinBits, unsigned_magnitude, Checked, void, false>::sign_bit_mask; | |
702 | template <unsigned MinBits, cpp_int_check_type Checked> | |
703 | const unsigned cpp_int_base<MinBits, MinBits, unsigned_magnitude, Checked, void, false>::internal_limb_count; | |
704 | template <unsigned MinBits, cpp_int_check_type Checked> | |
705 | const bool cpp_int_base<MinBits, MinBits, unsigned_magnitude, Checked, void, false>::variable; | |
706 | ||
707 | #endif | |
708 | // | |
709 | // Traits classes to figure out a native type with N bits, these vary from boost::uint_t<N> only | |
710 | // because some platforms have native integer types longer than boost::long_long_type, "really boost::long_long_type" anyone?? | |
711 | // | |
712 | template <unsigned N, bool s> | |
713 | struct trivial_limb_type_imp | |
714 | { | |
715 | typedef double_limb_type type; | |
716 | }; | |
717 | ||
718 | template <unsigned N> | |
719 | struct trivial_limb_type_imp<N, true> | |
720 | { | |
721 | typedef typename boost::uint_t<N>::least type; | |
722 | }; | |
723 | ||
724 | template <unsigned N> | |
725 | struct trivial_limb_type : public trivial_limb_type_imp<N, N <= sizeof(boost::long_long_type) * CHAR_BIT> {}; | |
726 | // | |
727 | // Backend for fixed precision signed-magnitude type which will fit entirely inside a "double_limb_type": | |
728 | // | |
729 | template <unsigned MinBits, cpp_int_check_type Checked> | |
730 | struct cpp_int_base<MinBits, MinBits, signed_magnitude, Checked, void, true> | |
731 | { | |
732 | typedef typename trivial_limb_type<MinBits>::type local_limb_type; | |
733 | typedef local_limb_type* limb_pointer; | |
734 | typedef const local_limb_type* const_limb_pointer; | |
735 | typedef mpl::int_<Checked> checked_type; | |
736 | protected: | |
737 | BOOST_STATIC_CONSTANT(unsigned, limb_bits = sizeof(local_limb_type) * CHAR_BIT); | |
738 | BOOST_STATIC_CONSTANT(local_limb_type, limb_mask = (MinBits < limb_bits) ? local_limb_type((local_limb_type(~local_limb_type(0))) >> (limb_bits - MinBits)) : local_limb_type(~local_limb_type(0))); | |
739 | private: | |
740 | local_limb_type m_data; | |
741 | bool m_sign; | |
742 | ||
743 | // | |
744 | // Interface invariants: | |
745 | // | |
746 | BOOST_STATIC_ASSERT_MSG(MinBits <= sizeof(double_limb_type) * CHAR_BIT, "Template parameter MinBits is inconsistent with the parameter trivial - did you mistakingly try to override the trivial parameter?"); | |
747 | protected: | |
748 | template <class T> | |
749 | typename boost::disable_if_c<!boost::is_integral<T>::value || (std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::digits <= (int)MinBits))>::type | |
750 | check_in_range(T val, const mpl::int_<checked>&) | |
751 | { | |
752 | typedef typename common_type<typename make_unsigned<T>::type, local_limb_type>::type common_type; | |
753 | ||
754 | if(static_cast<common_type>(boost::multiprecision::detail::unsigned_abs(val)) > static_cast<common_type>(limb_mask)) | |
755 | BOOST_THROW_EXCEPTION(std::range_error("The argument to a cpp_int constructor exceeded the largest value it can represent.")); | |
756 | } | |
757 | template <class T> | |
758 | typename boost::disable_if_c<boost::is_integral<T>::value || (std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::digits <= (int)MinBits))>::type | |
759 | check_in_range(T val, const mpl::int_<checked>&) | |
760 | { | |
761 | using std::abs; | |
762 | typedef typename common_type<T, local_limb_type>::type common_type; | |
763 | ||
764 | if (static_cast<common_type>(abs(val)) > static_cast<common_type>(limb_mask)) | |
765 | BOOST_THROW_EXCEPTION(std::range_error("The argument to a cpp_int constructor exceeded the largest value it can represent.")); | |
766 | } | |
767 | template <class T, int C> | |
768 | void check_in_range(T, const mpl::int_<C>&) BOOST_NOEXCEPT {} | |
769 | ||
770 | template <class T> | |
771 | void check_in_range(T val) BOOST_MP_NOEXCEPT_IF(noexcept(std::declval<cpp_int_base>().check_in_range(std::declval<T>(), checked_type()))) | |
772 | { | |
773 | check_in_range(val, checked_type()); | |
774 | } | |
775 | ||
776 | public: | |
777 | // | |
778 | // Direct construction: | |
779 | // | |
780 | template <class SI> | |
781 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base(SI i, typename boost::enable_if_c<is_signed<SI>::value && (Checked == unchecked) >::type const* = 0) BOOST_MP_NOEXCEPT_IF(noexcept(std::declval<cpp_int_base>().check_in_range(std::declval<SI>()))) | |
782 | : m_data(i < 0 ? static_cast<local_limb_type>(static_cast<typename make_unsigned<SI>::type>(boost::multiprecision::detail::unsigned_abs(i)) & limb_mask) : static_cast<local_limb_type>(i & limb_mask)), m_sign(i < 0) {} | |
783 | template <class SI> | |
784 | BOOST_MP_FORCEINLINE cpp_int_base(SI i, typename boost::enable_if_c<is_signed<SI>::value && (Checked == checked) >::type const* = 0) BOOST_MP_NOEXCEPT_IF(noexcept(std::declval<cpp_int_base>().check_in_range(std::declval<SI>()))) | |
785 | : m_data(i < 0 ? (static_cast<local_limb_type>(static_cast<typename make_unsigned<SI>::type>(boost::multiprecision::detail::unsigned_abs(i)) & limb_mask)) : static_cast<local_limb_type>(i & limb_mask)), m_sign(i < 0) | |
786 | { check_in_range(i); } | |
787 | template <class UI> | |
788 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base(UI i, typename boost::enable_if_c<is_unsigned<UI>::value && (Checked == unchecked)>::type const* = 0) BOOST_NOEXCEPT | |
789 | : m_data(static_cast<local_limb_type>(i) & limb_mask), m_sign(false) {} | |
790 | template <class UI> | |
791 | BOOST_MP_FORCEINLINE cpp_int_base(UI i, typename boost::enable_if_c<is_unsigned<UI>::value && (Checked == checked)>::type const* = 0) BOOST_MP_NOEXCEPT_IF(noexcept(std::declval<cpp_int_base>().check_in_range(std::declval<UI>()))) | |
792 | : m_data(static_cast<local_limb_type>(i) & limb_mask), m_sign(false) { check_in_range(i); } | |
793 | template <class F> | |
794 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base(F i, typename boost::enable_if_c<is_floating_point<F>::value && (Checked == unchecked)>::type const* = 0) BOOST_NOEXCEPT | |
795 | : m_data(static_cast<local_limb_type>(std::fabs(i)) & limb_mask), m_sign(i < 0) {} | |
796 | template <class F> | |
797 | BOOST_MP_FORCEINLINE cpp_int_base(F i, typename boost::enable_if_c<is_floating_point<F>::value && (Checked == checked)>::type const* = 0) | |
798 | : m_data(static_cast<local_limb_type>(std::fabs(i)) & limb_mask), m_sign(i < 0) { check_in_range(i); } | |
799 | #if defined(BOOST_MP_USER_DEFINED_LITERALS) | |
800 | BOOST_CONSTEXPR cpp_int_base(literals::detail::value_pack<>) BOOST_NOEXCEPT | |
801 | : m_data(static_cast<local_limb_type>(0u)), m_sign(false) {} | |
802 | template <limb_type a> | |
803 | BOOST_CONSTEXPR cpp_int_base(literals::detail::value_pack<a>)BOOST_NOEXCEPT | |
804 | : m_data(static_cast<local_limb_type>(a)), m_sign(false) {} | |
805 | template <limb_type a, limb_type b> | |
806 | BOOST_CONSTEXPR cpp_int_base(literals::detail::value_pack<a, b>)BOOST_NOEXCEPT | |
807 | : m_data(static_cast<local_limb_type>(a) | (static_cast<local_limb_type>(b) << bits_per_limb)), m_sign(false) {} | |
808 | BOOST_CONSTEXPR cpp_int_base(const cpp_int_base& a, const literals::detail::negate_tag&)BOOST_NOEXCEPT | |
809 | : m_data(a.m_data), m_sign(a.m_data ? !a.m_sign : false) {} | |
810 | #endif | |
811 | // | |
812 | // Helper functions for getting at our internal data, and manipulating storage: | |
813 | // | |
814 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR unsigned size()const BOOST_NOEXCEPT { return 1; } | |
815 | BOOST_MP_FORCEINLINE limb_pointer limbs() BOOST_NOEXCEPT { return &m_data; } | |
816 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR const_limb_pointer limbs()const BOOST_NOEXCEPT { return &m_data; } | |
817 | BOOST_MP_FORCEINLINE bool sign()const BOOST_NOEXCEPT { return m_sign; } | |
818 | BOOST_MP_FORCEINLINE void sign(bool b) BOOST_NOEXCEPT | |
819 | { | |
820 | m_sign = b; | |
821 | // Check for zero value: | |
822 | if(m_sign && !m_data) | |
823 | { | |
824 | m_sign = false; | |
825 | } | |
826 | } | |
827 | BOOST_MP_FORCEINLINE void resize(unsigned new_size, unsigned min_size) | |
828 | { | |
829 | detail::verify_new_size(2, min_size, checked_type()); | |
830 | } | |
831 | BOOST_MP_FORCEINLINE void normalize() BOOST_MP_NOEXCEPT_IF((Checked == unchecked)) | |
832 | { | |
833 | if(!m_data) | |
834 | m_sign = false; // zero is always unsigned | |
835 | detail::verify_limb_mask(true, m_data, limb_mask, checked_type()); | |
836 | m_data &= limb_mask; | |
837 | } | |
838 | ||
839 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base() BOOST_NOEXCEPT : m_data(0), m_sign(false) {} | |
840 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base(const cpp_int_base& o) BOOST_NOEXCEPT | |
841 | : m_data(o.m_data), m_sign(o.m_sign) {} | |
842 | //~cpp_int_base() BOOST_NOEXCEPT {} | |
843 | BOOST_MP_FORCEINLINE void assign(const cpp_int_base& o) BOOST_NOEXCEPT | |
844 | { | |
845 | m_data = o.m_data; | |
846 | m_sign = o.m_sign; | |
847 | } | |
848 | BOOST_MP_FORCEINLINE void negate() BOOST_NOEXCEPT | |
849 | { | |
850 | m_sign = !m_sign; | |
851 | // Check for zero value: | |
852 | if(m_data == 0) | |
853 | { | |
854 | m_sign = false; | |
855 | } | |
856 | } | |
857 | BOOST_MP_FORCEINLINE bool isneg()const BOOST_NOEXCEPT | |
858 | { | |
859 | return m_sign; | |
860 | } | |
861 | BOOST_MP_FORCEINLINE void do_swap(cpp_int_base& o) BOOST_NOEXCEPT | |
862 | { | |
863 | std::swap(m_sign, o.m_sign); | |
864 | std::swap(m_data, o.m_data); | |
865 | } | |
866 | }; | |
867 | // | |
868 | // Backend for unsigned fixed precision (i.e. no allocator) type which will fit entirely inside a "double_limb_type": | |
869 | // | |
870 | template <unsigned MinBits, cpp_int_check_type Checked> | |
871 | struct cpp_int_base<MinBits, MinBits, unsigned_magnitude, Checked, void, true> | |
872 | { | |
873 | typedef typename trivial_limb_type<MinBits>::type local_limb_type; | |
874 | typedef local_limb_type* limb_pointer; | |
875 | typedef const local_limb_type* const_limb_pointer; | |
876 | private: | |
877 | BOOST_STATIC_CONSTANT(unsigned, limb_bits = sizeof(local_limb_type) * CHAR_BIT); | |
878 | BOOST_STATIC_CONSTANT(local_limb_type, limb_mask = limb_bits != MinBits ? | |
879 | static_cast<local_limb_type>(static_cast<local_limb_type>(~local_limb_type(0)) >> (limb_bits - MinBits)) | |
880 | : static_cast<local_limb_type>(~local_limb_type(0))); | |
881 | ||
882 | local_limb_type m_data; | |
883 | ||
884 | typedef mpl::int_<Checked> checked_type; | |
885 | ||
886 | // | |
887 | // Interface invariants: | |
888 | // | |
889 | BOOST_STATIC_ASSERT_MSG(MinBits <= sizeof(double_limb_type) * CHAR_BIT, "Template parameter MinBits is inconsistent with the parameter trivial - did you mistakingly try to override the trivial parameter?"); | |
890 | protected: | |
891 | template <class T> | |
892 | typename boost::disable_if_c<std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::digits <= (int)MinBits)>::type | |
893 | check_in_range(T val, const mpl::int_<checked>&, const boost::false_type&) | |
894 | { | |
895 | typedef typename common_type<T, local_limb_type>::type common_type; | |
896 | ||
897 | if(static_cast<common_type>(val) > limb_mask) | |
898 | BOOST_THROW_EXCEPTION(std::range_error("The argument to a cpp_int constructor exceeded the largest value it can represent.")); | |
899 | } | |
900 | template <class T> | |
901 | void check_in_range(T val, const mpl::int_<checked>&, const boost::true_type&) | |
902 | { | |
903 | typedef typename common_type<T, local_limb_type>::type common_type; | |
904 | ||
905 | if(static_cast<common_type>(val) > limb_mask) | |
906 | BOOST_THROW_EXCEPTION(std::range_error("The argument to a cpp_int constructor exceeded the largest value it can represent.")); | |
907 | if(val < 0) | |
908 | BOOST_THROW_EXCEPTION(std::range_error("The argument to an unsigned cpp_int constructor was negative.")); | |
909 | } | |
910 | template <class T, int C, bool B> | |
911 | BOOST_MP_FORCEINLINE void check_in_range(T, const mpl::int_<C>&, const boost::integral_constant<bool, B>&) BOOST_NOEXCEPT {} | |
912 | ||
913 | template <class T> | |
914 | BOOST_MP_FORCEINLINE void check_in_range(T val) BOOST_MP_NOEXCEPT_IF(noexcept(std::declval<cpp_int_base>().check_in_range(std::declval<T>(), checked_type(), is_signed<T>()))) | |
915 | { | |
916 | check_in_range(val, checked_type(), is_signed<T>()); | |
917 | } | |
918 | ||
919 | public: | |
920 | // | |
921 | // Direct construction: | |
922 | // | |
923 | #ifdef __MSVC_RUNTIME_CHECKS | |
924 | template <class SI> | |
925 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base(SI i, typename boost::enable_if_c<is_signed<SI>::value && (Checked == unchecked) >::type const* = 0) BOOST_NOEXCEPT | |
926 | : m_data(i < 0 ? (1 + ~static_cast<local_limb_type>(-i & limb_mask)) & limb_mask : static_cast<local_limb_type>(i & limb_mask)) {} | |
927 | template <class SI> | |
928 | BOOST_MP_FORCEINLINE cpp_int_base(SI i, typename boost::enable_if_c<is_signed<SI>::value && (Checked == checked) >::type const* = 0) BOOST_MP_NOEXCEPT_IF(noexcept(std::declval<cpp_int_base>().check_in_range(std::declval<SI>()))) | |
929 | : m_data(i < 0 ? 1 + ~static_cast<local_limb_type>(-i & limb_mask) : static_cast<local_limb_type>(i & limb_mask)) { check_in_range(i); } | |
930 | template <class UI> | |
931 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base(UI i, typename boost::enable_if_c<is_unsigned<UI>::value && (Checked == unchecked) >::type const* = 0) BOOST_NOEXCEPT | |
932 | : m_data(static_cast<local_limb_type>(i & limb_mask)) {} | |
933 | template <class UI> | |
934 | BOOST_MP_FORCEINLINE cpp_int_base(UI i, typename boost::enable_if_c<is_unsigned<UI>::value && (Checked == checked) >::type const* = 0) BOOST_MP_NOEXCEPT_IF(noexcept(std::declval<cpp_int_base>().check_in_range(std::declval<UI>()))) | |
935 | : m_data(static_cast<local_limb_type>(i & limb_mask)) { check_in_range(i); } | |
936 | #else | |
937 | template <class SI> | |
938 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base(SI i, typename boost::enable_if_c<is_signed<SI>::value && (Checked == unchecked) >::type const* = 0) BOOST_NOEXCEPT | |
939 | : m_data(i < 0 ? (1 + ~static_cast<local_limb_type>(-i)) & limb_mask : static_cast<local_limb_type>(i) & limb_mask) {} | |
940 | template <class SI> | |
941 | BOOST_MP_FORCEINLINE cpp_int_base(SI i, typename boost::enable_if_c<is_signed<SI>::value && (Checked == checked) >::type const* = 0) BOOST_MP_NOEXCEPT_IF(noexcept(std::declval<cpp_int_base>().check_in_range(std::declval<SI>()))) | |
942 | : m_data(i < 0 ? 1 + ~static_cast<local_limb_type>(-i) : static_cast<local_limb_type>(i)) { check_in_range(i); } | |
943 | template <class UI> | |
944 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base(UI i, typename boost::enable_if_c<is_unsigned<UI>::value && (Checked == unchecked) >::type const* = 0) BOOST_NOEXCEPT | |
945 | : m_data(static_cast<local_limb_type>(i) & limb_mask) {} | |
946 | template <class UI> | |
947 | BOOST_MP_FORCEINLINE cpp_int_base(UI i, typename boost::enable_if_c<is_unsigned<UI>::value && (Checked == checked) >::type const* = 0) BOOST_MP_NOEXCEPT_IF(noexcept(std::declval<cpp_int_base>().check_in_range(std::declval<UI>()))) | |
948 | : m_data(static_cast<local_limb_type>(i)) { check_in_range(i); } | |
949 | #endif | |
950 | template <class F> | |
951 | BOOST_MP_FORCEINLINE cpp_int_base(F i, typename boost::enable_if<is_floating_point<F> >::type const* = 0) BOOST_MP_NOEXCEPT_IF((Checked == unchecked)) | |
952 | : m_data(static_cast<local_limb_type>(std::fabs(i)) & limb_mask) | |
953 | { | |
954 | check_in_range(i); | |
955 | if(i < 0) | |
956 | negate(); | |
957 | } | |
958 | #if defined(BOOST_MP_USER_DEFINED_LITERALS) | |
959 | BOOST_CONSTEXPR cpp_int_base(literals::detail::value_pack<>) BOOST_NOEXCEPT | |
960 | : m_data(static_cast<local_limb_type>(0u)) {} | |
961 | template <limb_type a> | |
962 | BOOST_CONSTEXPR cpp_int_base(literals::detail::value_pack<a>) BOOST_NOEXCEPT | |
963 | : m_data(static_cast<local_limb_type>(a)) {} | |
964 | template <limb_type a, limb_type b> | |
965 | BOOST_CONSTEXPR cpp_int_base(literals::detail::value_pack<a, b>) BOOST_NOEXCEPT | |
966 | : m_data(static_cast<local_limb_type>(a) | (static_cast<local_limb_type>(b) << bits_per_limb)) {} | |
967 | #endif | |
968 | // | |
969 | // Helper functions for getting at our internal data, and manipulating storage: | |
970 | // | |
971 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR unsigned size()const BOOST_NOEXCEPT { return 1; } | |
972 | BOOST_MP_FORCEINLINE limb_pointer limbs() BOOST_NOEXCEPT { return &m_data; } | |
973 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR const_limb_pointer limbs()const BOOST_NOEXCEPT { return &m_data; } | |
974 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR bool sign()const BOOST_NOEXCEPT { return false; } | |
975 | BOOST_MP_FORCEINLINE void sign(bool b) BOOST_MP_NOEXCEPT_IF((Checked == unchecked)) | |
976 | { | |
977 | if(b) | |
978 | negate(); | |
979 | } | |
980 | BOOST_MP_FORCEINLINE void resize(unsigned, unsigned min_size) | |
981 | { | |
982 | detail::verify_new_size(2, min_size, checked_type()); | |
983 | } | |
984 | BOOST_MP_FORCEINLINE void normalize() BOOST_MP_NOEXCEPT_IF((Checked == unchecked)) | |
985 | { | |
986 | detail::verify_limb_mask(true, m_data, limb_mask, checked_type()); | |
987 | m_data &= limb_mask; | |
988 | } | |
989 | ||
990 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base() BOOST_NOEXCEPT : m_data(0) {} | |
991 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_base(const cpp_int_base& o) BOOST_NOEXCEPT | |
992 | : m_data(o.m_data) {} | |
993 | //~cpp_int_base() BOOST_NOEXCEPT {} | |
994 | BOOST_MP_FORCEINLINE void assign(const cpp_int_base& o) BOOST_NOEXCEPT | |
995 | { | |
996 | m_data = o.m_data; | |
997 | } | |
998 | BOOST_MP_FORCEINLINE void negate() BOOST_MP_NOEXCEPT_IF((Checked == unchecked)) | |
999 | { | |
1000 | if(Checked == checked) | |
1001 | { | |
1002 | BOOST_THROW_EXCEPTION(std::range_error("Attempt to negate an unsigned type.")); | |
1003 | } | |
1004 | m_data = ~m_data; | |
1005 | ++m_data; | |
1006 | } | |
1007 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR bool isneg()const BOOST_NOEXCEPT | |
1008 | { | |
1009 | return false; | |
1010 | } | |
1011 | BOOST_MP_FORCEINLINE void do_swap(cpp_int_base& o) BOOST_NOEXCEPT | |
1012 | { | |
1013 | std::swap(m_data, o.m_data); | |
1014 | } | |
1015 | }; | |
1016 | // | |
1017 | // Traits class, lets us know whether type T can be directly converted to the base type, | |
1018 | // used to enable/disable constructors etc: | |
1019 | // | |
1020 | template <class Arg, class Base> | |
1021 | struct is_allowed_cpp_int_base_conversion : public mpl::if_c< | |
1022 | is_same<Arg, limb_type>::value || is_same<Arg, signed_limb_type>::value | |
1023 | #if defined(BOOST_LITTLE_ENDIAN) && !defined(BOOST_MP_TEST_NO_LE) | |
1024 | || is_same<Arg, double_limb_type>::value || is_same<Arg, signed_double_limb_type>::value | |
1025 | #endif | |
1026 | #if defined(BOOST_MP_USER_DEFINED_LITERALS) | |
1027 | || literals::detail::is_value_pack<Arg>::value | |
1028 | #endif | |
1029 | || (is_trivial_cpp_int<Base>::value && is_arithmetic<Arg>::value), | |
1030 | mpl::true_, | |
1031 | mpl::false_ | |
1032 | >::type | |
1033 | {}; | |
1034 | // | |
1035 | // Now the actual backend, normalising parameters passed to the base class: | |
1036 | // | |
1037 | template <unsigned MinBits, unsigned MaxBits, cpp_integer_type SignType, cpp_int_check_type Checked, class Allocator> | |
1038 | struct cpp_int_backend | |
1039 | : public cpp_int_base< | |
1040 | min_precision<cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> >::value, | |
1041 | max_precision<cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> >::value, | |
1042 | SignType, | |
1043 | Checked, | |
1044 | Allocator, | |
1045 | is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> >::value> | |
1046 | { | |
1047 | typedef cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> self_type; | |
1048 | typedef cpp_int_base< | |
1049 | min_precision<self_type>::value, | |
1050 | max_precision<self_type>::value, | |
1051 | SignType, | |
1052 | Checked, | |
1053 | Allocator, | |
1054 | is_trivial_cpp_int<self_type>::value> base_type; | |
1055 | typedef mpl::bool_<is_trivial_cpp_int<self_type>::value> trivial_tag; | |
1056 | public: | |
1057 | typedef typename mpl::if_< | |
1058 | trivial_tag, | |
1059 | mpl::list< | |
1060 | signed char, short, int, long, | |
1061 | boost::long_long_type, signed_double_limb_type>, | |
1062 | mpl::list<signed_limb_type, signed_double_limb_type> | |
1063 | >::type signed_types; | |
1064 | typedef typename mpl::if_< | |
1065 | trivial_tag, | |
1066 | mpl::list<unsigned char, unsigned short, unsigned, | |
1067 | unsigned long, boost::ulong_long_type, double_limb_type>, | |
1068 | mpl::list<limb_type, double_limb_type> | |
1069 | >::type unsigned_types; | |
1070 | typedef typename mpl::if_< | |
1071 | trivial_tag, | |
1072 | mpl::list<float, double, long double>, | |
1073 | mpl::list<long double> | |
1074 | >::type float_types; | |
1075 | typedef mpl::int_<Checked> checked_type; | |
1076 | ||
1077 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_backend() BOOST_NOEXCEPT{} | |
1078 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_backend(const cpp_int_backend& o) BOOST_MP_NOEXCEPT_IF(boost::is_void<Allocator>::value) : base_type(o) {} | |
1079 | #ifndef BOOST_NO_CXX11_RVALUE_REFERENCES | |
1080 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_backend(cpp_int_backend&& o) BOOST_NOEXCEPT | |
1081 | : base_type(static_cast<base_type&&>(o)) {} | |
1082 | #endif | |
1083 | // | |
1084 | // Direct construction from arithmetic type: | |
1085 | // | |
1086 | template <class Arg> | |
1087 | BOOST_MP_FORCEINLINE BOOST_CONSTEXPR cpp_int_backend(Arg i, typename boost::enable_if_c<is_allowed_cpp_int_base_conversion<Arg, base_type>::value >::type const* = 0)BOOST_MP_NOEXCEPT_IF(noexcept(base_type(std::declval<Arg>()))) | |
1088 | : base_type(i) {} | |
1089 | ||
1090 | private: | |
1091 | template <unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2> | |
1092 | void do_assign(const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& other, mpl::true_ const&, mpl::true_ const &) | |
1093 | { | |
1094 | // Assigning trivial type to trivial type: | |
1095 | this->check_in_range(*other.limbs()); | |
1096 | *this->limbs() = static_cast<typename self_type::local_limb_type>(*other.limbs()); | |
1097 | this->sign(other.sign()); | |
1098 | this->normalize(); | |
1099 | } | |
1100 | template <unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2> | |
1101 | void do_assign(const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& other, mpl::true_ const&, mpl::false_ const &) | |
1102 | { | |
1103 | // non-trivial to trivial narrowing conversion: | |
1104 | double_limb_type v = *other.limbs(); | |
1105 | if(other.size() > 1) | |
1106 | { | |
1107 | v |= static_cast<double_limb_type>(other.limbs()[1]) << bits_per_limb; | |
1108 | if((Checked == checked) && (other.size() > 2)) | |
1109 | { | |
1110 | BOOST_THROW_EXCEPTION(std::range_error("Assignment of a cpp_int that is out of range for the target type.")); | |
1111 | } | |
1112 | } | |
1113 | *this = v; | |
1114 | this->sign(other.sign()); | |
1115 | this->normalize(); | |
1116 | } | |
1117 | template <unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2> | |
1118 | void do_assign(const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& other, mpl::false_ const&, mpl::true_ const &) | |
1119 | { | |
1120 | // trivial to non-trivial, treat the trivial argument as if it were an unsigned arithmetic type, then set the sign afterwards: | |
1121 | *this = static_cast< | |
1122 | typename boost::multiprecision::detail::canonical< | |
1123 | typename cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>::local_limb_type, | |
1124 | cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> | |
1125 | >::type | |
1126 | >(*other.limbs()); | |
1127 | this->sign(other.sign()); | |
1128 | } | |
1129 | template <unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2> | |
1130 | void do_assign(const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& other, mpl::false_ const&, mpl::false_ const &) | |
1131 | { | |
1132 | // regular non-trivial to non-trivial assign: | |
1133 | this->resize(other.size(), other.size()); | |
1134 | std::memcpy(this->limbs(), other.limbs(), (std::min)(other.size(), this->size()) * sizeof(this->limbs()[0])); | |
1135 | this->sign(other.sign()); | |
1136 | this->normalize(); | |
1137 | } | |
1138 | public: | |
1139 | template <unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2> | |
1140 | cpp_int_backend( | |
1141 | const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& other, | |
1142 | typename boost::enable_if_c<is_implicit_cpp_int_conversion<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>, self_type>::value>::type* = 0) | |
1143 | : base_type() | |
1144 | { | |
1145 | do_assign( | |
1146 | other, | |
1147 | mpl::bool_<is_trivial_cpp_int<self_type>::value>(), | |
1148 | mpl::bool_<is_trivial_cpp_int<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value>()); | |
1149 | } | |
1150 | template <unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2> | |
1151 | explicit cpp_int_backend( | |
1152 | const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& other, | |
1153 | typename boost::disable_if_c<is_implicit_cpp_int_conversion<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>, self_type>::value>::type* = 0) | |
1154 | : base_type() | |
1155 | { | |
1156 | do_assign( | |
1157 | other, | |
1158 | mpl::bool_<is_trivial_cpp_int<self_type>::value>(), | |
1159 | mpl::bool_<is_trivial_cpp_int<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value>()); | |
1160 | } | |
1161 | template <unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2> | |
1162 | cpp_int_backend& operator=( | |
1163 | const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& other) | |
1164 | { | |
1165 | do_assign( | |
1166 | other, | |
1167 | mpl::bool_<is_trivial_cpp_int<self_type>::value>(), | |
1168 | mpl::bool_<is_trivial_cpp_int<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value>()); | |
1169 | return *this; | |
1170 | } | |
1171 | #ifdef BOOST_MP_USER_DEFINED_LITERALS | |
1172 | BOOST_CONSTEXPR cpp_int_backend(const cpp_int_backend& a, const literals::detail::negate_tag& tag) | |
1173 | : base_type(static_cast<const base_type&>(a), tag){} | |
1174 | #endif | |
1175 | ||
1176 | BOOST_MP_FORCEINLINE cpp_int_backend& operator = (const cpp_int_backend& o) BOOST_MP_NOEXCEPT_IF(noexcept(std::declval<cpp_int_backend>().assign(std::declval<const cpp_int_backend&>()))) | |
1177 | { | |
1178 | this->assign(o); | |
1179 | return *this; | |
1180 | } | |
1181 | #ifndef BOOST_NO_CXX11_RVALUE_REFERENCES | |
1182 | BOOST_MP_FORCEINLINE cpp_int_backend& operator = (cpp_int_backend&& o) BOOST_MP_NOEXCEPT_IF(noexcept(std::declval<base_type&>() = std::declval<base_type>())) | |
1183 | { | |
1184 | *static_cast<base_type*>(this) = static_cast<base_type&&>(o); | |
1185 | return *this; | |
1186 | } | |
1187 | #endif | |
1188 | private: | |
1189 | template <class A> | |
1190 | typename boost::enable_if<is_unsigned<A> >::type do_assign_arithmetic(A val, const mpl::true_&) | |
1191 | BOOST_MP_NOEXCEPT_IF(noexcept(std::declval<cpp_int_backend>().check_in_range(std::declval<A>()))) | |
1192 | { | |
1193 | this->check_in_range(val); | |
1194 | *this->limbs() = static_cast<typename self_type::local_limb_type>(val); | |
11fdf7f2 | 1195 | this->sign(false); |
7c673cae FG |
1196 | this->normalize(); |
1197 | } | |
1198 | template <class A> | |
1199 | typename boost::disable_if_c<is_unsigned<A>::value || !is_integral<A>::value >::type do_assign_arithmetic(A val, const mpl::true_&) | |
1200 | BOOST_MP_NOEXCEPT_IF(noexcept(std::declval<cpp_int_backend>().check_in_range(std::declval<A>())) && noexcept(std::declval<cpp_int_backend>().sign(true))) | |
1201 | { | |
1202 | this->check_in_range(val); | |
1203 | *this->limbs() = (val < 0) ? static_cast<typename self_type::local_limb_type>(boost::multiprecision::detail::unsigned_abs(val)) : static_cast<typename self_type::local_limb_type>(val); | |
1204 | this->sign(val < 0); | |
1205 | this->normalize(); | |
1206 | } | |
1207 | template <class A> | |
1208 | typename boost::enable_if_c< !is_integral<A>::value>::type do_assign_arithmetic(A val, const mpl::true_&) | |
1209 | { | |
1210 | this->check_in_range(val); | |
1211 | *this->limbs() = (val < 0) ? static_cast<typename self_type::local_limb_type>(boost::multiprecision::detail::abs(val)) : static_cast<typename self_type::local_limb_type>(val); | |
1212 | this->sign(val < 0); | |
1213 | this->normalize(); | |
1214 | } | |
1215 | BOOST_MP_FORCEINLINE void do_assign_arithmetic(limb_type i, const mpl::false_&) BOOST_NOEXCEPT | |
1216 | { | |
1217 | this->resize(1, 1); | |
1218 | *this->limbs() = i; | |
1219 | this->sign(false); | |
1220 | } | |
1221 | BOOST_MP_FORCEINLINE void do_assign_arithmetic(signed_limb_type i, const mpl::false_&) BOOST_MP_NOEXCEPT_IF(noexcept(std::declval<cpp_int_backend>().sign(true))) | |
1222 | { | |
1223 | this->resize(1, 1); | |
1224 | *this->limbs() = static_cast<limb_type>(boost::multiprecision::detail::unsigned_abs(i)); | |
1225 | this->sign(i < 0); | |
1226 | } | |
1227 | void do_assign_arithmetic(double_limb_type i, const mpl::false_&) BOOST_NOEXCEPT | |
1228 | { | |
1229 | BOOST_STATIC_ASSERT(sizeof(i) == 2 * sizeof(limb_type)); | |
1230 | BOOST_STATIC_ASSERT(base_type::internal_limb_count >= 2); | |
1231 | typename base_type::limb_pointer p = this->limbs(); | |
1232 | #ifdef __MSVC_RUNTIME_CHECKS | |
1233 | *p = static_cast<limb_type>(i & ~static_cast<limb_type>(0)); | |
1234 | #else | |
1235 | *p = static_cast<limb_type>(i); | |
1236 | #endif | |
1237 | p[1] = static_cast<limb_type>(i >> base_type::limb_bits); | |
1238 | this->resize(p[1] ? 2 : 1, p[1] ? 2 : 1); | |
1239 | this->sign(false); | |
1240 | } | |
1241 | void do_assign_arithmetic(signed_double_limb_type i, const mpl::false_&) BOOST_MP_NOEXCEPT_IF(noexcept(std::declval<cpp_int_backend>().sign(true))) | |
1242 | { | |
1243 | BOOST_STATIC_ASSERT(sizeof(i) == 2 * sizeof(limb_type)); | |
1244 | BOOST_STATIC_ASSERT(base_type::internal_limb_count >= 2); | |
1245 | bool s = false; | |
1246 | double_limb_type ui; | |
1247 | if(i < 0) | |
1248 | s = true; | |
1249 | ui = static_cast<double_limb_type>(boost::multiprecision::detail::unsigned_abs(i)); | |
1250 | typename base_type::limb_pointer p = this->limbs(); | |
1251 | #ifdef __MSVC_RUNTIME_CHECKS | |
1252 | *p = static_cast<limb_type>(ui & ~static_cast<limb_type>(0)); | |
1253 | #else | |
1254 | *p = static_cast<limb_type>(ui); | |
1255 | #endif | |
1256 | p[1] = static_cast<limb_type>(ui >> base_type::limb_bits); | |
1257 | this->resize(p[1] ? 2 : 1, p[1] ? 2 : 1); | |
1258 | this->sign(s); | |
1259 | } | |
1260 | ||
1261 | void do_assign_arithmetic(long double a, const mpl::false_&) | |
1262 | { | |
1263 | using default_ops::eval_add; | |
1264 | using default_ops::eval_subtract; | |
1265 | using std::frexp; | |
1266 | using std::ldexp; | |
1267 | using std::floor; | |
1268 | ||
1269 | if(a < 0) | |
1270 | { | |
1271 | do_assign_arithmetic(-a, mpl::false_()); | |
1272 | this->sign(true); | |
1273 | return; | |
1274 | } | |
1275 | ||
1276 | if (a == 0) { | |
1277 | *this = static_cast<limb_type>(0u); | |
1278 | } | |
1279 | ||
1280 | if (a == 1) { | |
1281 | *this = static_cast<limb_type>(1u); | |
1282 | } | |
1283 | ||
1284 | BOOST_ASSERT(!(boost::math::isinf)(a)); | |
1285 | BOOST_ASSERT(!(boost::math::isnan)(a)); | |
1286 | ||
1287 | int e; | |
1288 | long double f, term; | |
1289 | *this = static_cast<limb_type>(0u); | |
1290 | ||
1291 | f = frexp(a, &e); | |
1292 | ||
1293 | static const limb_type shift = std::numeric_limits<limb_type>::digits; | |
1294 | ||
1295 | while(f) | |
1296 | { | |
1297 | // extract int sized bits from f: | |
1298 | f = ldexp(f, shift); | |
1299 | term = floor(f); | |
1300 | e -= shift; | |
1301 | eval_left_shift(*this, shift); | |
1302 | if(term > 0) | |
1303 | eval_add(*this, static_cast<limb_type>(term)); | |
1304 | else | |
1305 | eval_subtract(*this, static_cast<limb_type>(-term)); | |
1306 | f -= term; | |
1307 | } | |
1308 | if(e > 0) | |
1309 | eval_left_shift(*this, e); | |
1310 | else if(e < 0) | |
1311 | eval_right_shift(*this, -e); | |
1312 | } | |
1313 | public: | |
1314 | template <class Arithmetic> | |
1315 | BOOST_MP_FORCEINLINE typename boost::enable_if_c<!boost::multiprecision::detail::is_byte_container<Arithmetic>::value, cpp_int_backend&>::type operator = (Arithmetic val) BOOST_MP_NOEXCEPT_IF(noexcept(std::declval<cpp_int_backend>().do_assign_arithmetic(std::declval<Arithmetic>(), trivial_tag()))) | |
1316 | { | |
1317 | do_assign_arithmetic(val, trivial_tag()); | |
1318 | return *this; | |
1319 | } | |
1320 | private: | |
1321 | void do_assign_string(const char* s, const mpl::true_&) | |
1322 | { | |
1323 | std::size_t n = s ? std::strlen(s) : 0; | |
1324 | *this = 0; | |
1325 | unsigned radix = 10; | |
1326 | bool isneg = false; | |
1327 | if(n && (*s == '-')) | |
1328 | { | |
1329 | --n; | |
1330 | ++s; | |
1331 | isneg = true; | |
1332 | } | |
1333 | if(n && (*s == '0')) | |
1334 | { | |
1335 | if((n > 1) && ((s[1] == 'x') || (s[1] == 'X'))) | |
1336 | { | |
1337 | radix = 16; | |
1338 | s +=2; | |
1339 | n -= 2; | |
1340 | } | |
1341 | else | |
1342 | { | |
1343 | radix = 8; | |
1344 | n -= 1; | |
1345 | } | |
1346 | } | |
1347 | if(n) | |
1348 | { | |
1349 | unsigned val; | |
1350 | while(*s) | |
1351 | { | |
1352 | if(*s >= '0' && *s <= '9') | |
1353 | val = *s - '0'; | |
1354 | else if(*s >= 'a' && *s <= 'f') | |
1355 | val = 10 + *s - 'a'; | |
1356 | else if(*s >= 'A' && *s <= 'F') | |
1357 | val = 10 + *s - 'A'; | |
1358 | else | |
1359 | val = radix + 1; | |
1360 | if(val >= radix) | |
1361 | { | |
1362 | BOOST_THROW_EXCEPTION(std::runtime_error("Unexpected content found while parsing character string.")); | |
1363 | } | |
1364 | *this->limbs() = detail::checked_multiply(*this->limbs(), static_cast<typename base_type::local_limb_type>(radix), checked_type()); | |
1365 | *this->limbs() = detail::checked_add(*this->limbs(), static_cast<typename base_type::local_limb_type>(val), checked_type()); | |
1366 | ++s; | |
1367 | } | |
1368 | } | |
1369 | if(isneg) | |
1370 | this->negate(); | |
1371 | } | |
1372 | void do_assign_string(const char* s, const mpl::false_&) | |
1373 | { | |
1374 | using default_ops::eval_multiply; | |
1375 | using default_ops::eval_add; | |
1376 | std::size_t n = s ? std::strlen(s) : 0; | |
1377 | *this = static_cast<limb_type>(0u); | |
1378 | unsigned radix = 10; | |
1379 | bool isneg = false; | |
1380 | if(n && (*s == '-')) | |
1381 | { | |
1382 | --n; | |
1383 | ++s; | |
1384 | isneg = true; | |
1385 | } | |
1386 | if(n && (*s == '0')) | |
1387 | { | |
1388 | if((n > 1) && ((s[1] == 'x') || (s[1] == 'X'))) | |
1389 | { | |
1390 | radix = 16; | |
1391 | s +=2; | |
1392 | n -= 2; | |
1393 | } | |
1394 | else | |
1395 | { | |
1396 | radix = 8; | |
1397 | n -= 1; | |
1398 | } | |
1399 | } | |
1400 | // | |
1401 | // Exception guarantee: create the result in stack variable "result" | |
1402 | // then do a swap at the end. In the event of a throw, *this will | |
1403 | // be left unchanged. | |
1404 | // | |
1405 | cpp_int_backend result; | |
1406 | if(n) | |
1407 | { | |
1408 | if(radix == 16) | |
1409 | { | |
1410 | while(*s == '0') ++s; | |
1411 | std::size_t bitcount = 4 * std::strlen(s); | |
1412 | limb_type val; | |
1413 | std::size_t limb, shift; | |
1414 | if(bitcount > 4) | |
1415 | bitcount -= 4; | |
1416 | else | |
1417 | bitcount = 0; | |
1418 | std::size_t newsize = bitcount / (sizeof(limb_type) * CHAR_BIT) + 1; | |
1419 | result.resize(static_cast<unsigned>(newsize), static_cast<unsigned>(newsize)); // will throw if this is a checked integer that cannot be resized | |
1420 | std::memset(result.limbs(), 0, result.size() * sizeof(limb_type)); | |
1421 | while(*s) | |
1422 | { | |
1423 | if(*s >= '0' && *s <= '9') | |
1424 | val = *s - '0'; | |
1425 | else if(*s >= 'a' && *s <= 'f') | |
1426 | val = 10 + *s - 'a'; | |
1427 | else if(*s >= 'A' && *s <= 'F') | |
1428 | val = 10 + *s - 'A'; | |
1429 | else | |
1430 | { | |
1431 | BOOST_THROW_EXCEPTION(std::runtime_error("Unexpected content found while parsing character string.")); | |
1432 | } | |
1433 | limb = bitcount / (sizeof(limb_type) * CHAR_BIT); | |
1434 | shift = bitcount % (sizeof(limb_type) * CHAR_BIT); | |
1435 | val <<= shift; | |
1436 | if(result.size() > limb) | |
1437 | { | |
1438 | result.limbs()[limb] |= val; | |
1439 | } | |
1440 | ++s; | |
1441 | bitcount -= 4; | |
1442 | } | |
1443 | result.normalize(); | |
1444 | } | |
1445 | else if(radix == 8) | |
1446 | { | |
1447 | while(*s == '0') ++s; | |
1448 | std::size_t bitcount = 3 * std::strlen(s); | |
1449 | limb_type val; | |
1450 | std::size_t limb, shift; | |
1451 | if(bitcount > 3) | |
1452 | bitcount -= 3; | |
1453 | else | |
1454 | bitcount = 0; | |
1455 | std::size_t newsize = bitcount / (sizeof(limb_type) * CHAR_BIT) + 1; | |
1456 | result.resize(static_cast<unsigned>(newsize), static_cast<unsigned>(newsize)); // will throw if this is a checked integer that cannot be resized | |
1457 | std::memset(result.limbs(), 0, result.size() * sizeof(limb_type)); | |
1458 | while(*s) | |
1459 | { | |
1460 | if(*s >= '0' && *s <= '7') | |
1461 | val = *s - '0'; | |
1462 | else | |
1463 | { | |
1464 | BOOST_THROW_EXCEPTION(std::runtime_error("Unexpected content found while parsing character string.")); | |
1465 | } | |
1466 | limb = bitcount / (sizeof(limb_type) * CHAR_BIT); | |
1467 | shift = bitcount % (sizeof(limb_type) * CHAR_BIT); | |
1468 | if(result.size() > limb) | |
1469 | { | |
1470 | result.limbs()[limb] |= (val << shift); | |
1471 | if(shift > sizeof(limb_type) * CHAR_BIT - 3) | |
1472 | { | |
1473 | // Deal with the bits in val that overflow into the next limb: | |
1474 | val >>= (sizeof(limb_type) * CHAR_BIT - shift); | |
1475 | if(val) | |
1476 | { | |
1477 | // If this is the most-significant-limb, we may need to allocate an extra one for the overflow: | |
1478 | if(limb + 1 == newsize) | |
1479 | result.resize(static_cast<unsigned>(newsize + 1), static_cast<unsigned>(newsize + 1)); | |
1480 | if(result.size() > limb + 1) | |
1481 | { | |
1482 | result.limbs()[limb + 1] |= val; | |
1483 | } | |
1484 | } | |
1485 | } | |
1486 | } | |
1487 | ++s; | |
1488 | bitcount -= 3; | |
1489 | } | |
1490 | result.normalize(); | |
1491 | } | |
1492 | else | |
1493 | { | |
1494 | // Base 10, we extract blocks of size 10^9 at a time, that way | |
1495 | // the number of multiplications is kept to a minimum: | |
1496 | limb_type block_mult = max_block_10; | |
1497 | while(*s) | |
1498 | { | |
1499 | limb_type block = 0; | |
1500 | for(unsigned i = 0; i < digits_per_block_10; ++i) | |
1501 | { | |
1502 | limb_type val; | |
1503 | if(*s >= '0' && *s <= '9') | |
1504 | val = *s - '0'; | |
1505 | else | |
1506 | BOOST_THROW_EXCEPTION(std::runtime_error("Unexpected character encountered in input.")); | |
1507 | block *= 10; | |
1508 | block += val; | |
1509 | if(!*++s) | |
1510 | { | |
1511 | block_mult = block_multiplier(i); | |
1512 | break; | |
1513 | } | |
1514 | } | |
1515 | eval_multiply(result, block_mult); | |
1516 | eval_add(result, block); | |
1517 | } | |
1518 | } | |
1519 | } | |
1520 | if(isneg) | |
1521 | result.negate(); | |
1522 | result.swap(*this); | |
1523 | } | |
1524 | public: | |
1525 | cpp_int_backend& operator = (const char* s) | |
1526 | { | |
1527 | do_assign_string(s, trivial_tag()); | |
1528 | return *this; | |
1529 | } | |
1530 | BOOST_MP_FORCEINLINE void swap(cpp_int_backend& o) BOOST_NOEXCEPT | |
1531 | { | |
1532 | this->do_swap(o); | |
1533 | } | |
1534 | private: | |
1535 | std::string do_get_trivial_string(std::ios_base::fmtflags f, const mpl::false_&)const | |
1536 | { | |
1537 | typedef typename mpl::if_c<sizeof(typename base_type::local_limb_type) == 1, unsigned, typename base_type::local_limb_type>::type io_type; | |
1538 | if(this->sign() && (((f & std::ios_base::hex) == std::ios_base::hex) || ((f & std::ios_base::oct) == std::ios_base::oct))) | |
1539 | BOOST_THROW_EXCEPTION(std::runtime_error("Base 8 or 16 printing of negative numbers is not supported.")); | |
1540 | std::stringstream ss; | |
1541 | ss.flags(f & ~std::ios_base::showpos); | |
1542 | ss << static_cast<io_type>(*this->limbs()); | |
1543 | std::string result; | |
1544 | if(this->sign()) | |
1545 | result += '-'; | |
1546 | else if(f & std::ios_base::showpos) | |
1547 | result += '+'; | |
1548 | result += ss.str(); | |
1549 | return result; | |
1550 | } | |
1551 | std::string do_get_trivial_string(std::ios_base::fmtflags f, const mpl::true_&)const | |
1552 | { | |
1553 | // Even though we have only one limb, we can't do IO on it :-( | |
1554 | int base = 10; | |
1555 | if((f & std::ios_base::oct) == std::ios_base::oct) | |
1556 | base = 8; | |
1557 | else if((f & std::ios_base::hex) == std::ios_base::hex) | |
1558 | base = 16; | |
1559 | std::string result; | |
1560 | ||
1561 | unsigned Bits = sizeof(typename base_type::local_limb_type) * CHAR_BIT; | |
1562 | ||
1563 | if(base == 8 || base == 16) | |
1564 | { | |
1565 | if(this->sign()) | |
1566 | BOOST_THROW_EXCEPTION(std::runtime_error("Base 8 or 16 printing of negative numbers is not supported.")); | |
1567 | limb_type shift = base == 8 ? 3 : 4; | |
1568 | limb_type mask = static_cast<limb_type>((1u << shift) - 1); | |
1569 | typename base_type::local_limb_type v = *this->limbs(); | |
1570 | result.assign(Bits / shift + (Bits % shift ? 1 : 0), '0'); | |
1571 | std::string::difference_type pos = result.size() - 1; | |
1572 | for(unsigned i = 0; i < Bits / shift; ++i) | |
1573 | { | |
1574 | char c = '0' + static_cast<char>(v & mask); | |
1575 | if(c > '9') | |
1576 | c += 'A' - '9' - 1; | |
1577 | result[pos--] = c; | |
1578 | v >>= shift; | |
1579 | } | |
1580 | if(Bits % shift) | |
1581 | { | |
1582 | mask = static_cast<limb_type>((1u << (Bits % shift)) - 1); | |
1583 | char c = '0' + static_cast<char>(v & mask); | |
1584 | if(c > '9') | |
1585 | c += 'A' - '9'; | |
1586 | result[pos] = c; | |
1587 | } | |
1588 | // | |
1589 | // Get rid of leading zeros: | |
1590 | // | |
1591 | std::string::size_type n = result.find_first_not_of('0'); | |
1592 | if(!result.empty() && (n == std::string::npos)) | |
1593 | n = result.size() - 1; | |
1594 | result.erase(0, n); | |
1595 | if(f & std::ios_base::showbase) | |
1596 | { | |
1597 | const char* pp = base == 8 ? "0" : "0x"; | |
1598 | result.insert(static_cast<std::string::size_type>(0), pp); | |
1599 | } | |
1600 | } | |
1601 | else | |
1602 | { | |
1603 | result.assign(Bits / 3 + 1, '0'); | |
1604 | std::string::difference_type pos = result.size() - 1; | |
1605 | typename base_type::local_limb_type v(*this->limbs()); | |
1606 | bool neg = false; | |
1607 | if(this->sign()) | |
1608 | { | |
1609 | neg = true; | |
1610 | } | |
1611 | while(v) | |
1612 | { | |
1613 | result[pos] = (v % 10) + '0'; | |
1614 | --pos; | |
1615 | v /= 10; | |
1616 | } | |
1617 | std::string::size_type n = result.find_first_not_of('0'); | |
1618 | result.erase(0, n); | |
1619 | if(result.empty()) | |
1620 | result = "0"; | |
1621 | if(neg) | |
1622 | result.insert(static_cast<std::string::size_type>(0), 1, '-'); | |
1623 | else if(f & std::ios_base::showpos) | |
1624 | result.insert(static_cast<std::string::size_type>(0), 1, '+'); | |
1625 | } | |
1626 | return result; | |
1627 | } | |
1628 | std::string do_get_string(std::ios_base::fmtflags f, const mpl::true_&)const | |
1629 | { | |
1630 | #ifdef BOOST_MP_NO_DOUBLE_LIMB_TYPE_IO | |
1631 | return do_get_trivial_string(f, mpl::bool_<is_same<typename base_type::local_limb_type, double_limb_type>::value>()); | |
1632 | #else | |
1633 | return do_get_trivial_string(f, mpl::bool_<false>()); | |
1634 | #endif | |
1635 | } | |
1636 | std::string do_get_string(std::ios_base::fmtflags f, const mpl::false_&)const | |
1637 | { | |
1638 | using default_ops::eval_get_sign; | |
1639 | int base = 10; | |
1640 | if((f & std::ios_base::oct) == std::ios_base::oct) | |
1641 | base = 8; | |
1642 | else if((f & std::ios_base::hex) == std::ios_base::hex) | |
1643 | base = 16; | |
1644 | std::string result; | |
1645 | ||
1646 | unsigned Bits = this->size() * base_type::limb_bits; | |
1647 | ||
1648 | if(base == 8 || base == 16) | |
1649 | { | |
1650 | if(this->sign()) | |
1651 | BOOST_THROW_EXCEPTION(std::runtime_error("Base 8 or 16 printing of negative numbers is not supported.")); | |
1652 | limb_type shift = base == 8 ? 3 : 4; | |
1653 | limb_type mask = static_cast<limb_type>((1u << shift) - 1); | |
1654 | cpp_int_backend t(*this); | |
1655 | result.assign(Bits / shift + ((Bits % shift) ? 1 : 0), '0'); | |
1656 | std::string::difference_type pos = result.size() - 1; | |
1657 | for(unsigned i = 0; i < Bits / shift; ++i) | |
1658 | { | |
1659 | char c = '0' + static_cast<char>(t.limbs()[0] & mask); | |
1660 | if(c > '9') | |
1661 | c += 'A' - '9' - 1; | |
1662 | result[pos--] = c; | |
1663 | eval_right_shift(t, shift); | |
1664 | } | |
1665 | if(Bits % shift) | |
1666 | { | |
1667 | mask = static_cast<limb_type>((1u << (Bits % shift)) - 1); | |
1668 | char c = '0' + static_cast<char>(t.limbs()[0] & mask); | |
1669 | if(c > '9') | |
1670 | c += 'A' - '9'; | |
1671 | result[pos] = c; | |
1672 | } | |
1673 | // | |
1674 | // Get rid of leading zeros: | |
1675 | // | |
1676 | std::string::size_type n = result.find_first_not_of('0'); | |
1677 | if(!result.empty() && (n == std::string::npos)) | |
1678 | n = result.size() - 1; | |
1679 | result.erase(0, n); | |
1680 | if(f & std::ios_base::showbase) | |
1681 | { | |
1682 | const char* pp = base == 8 ? "0" : "0x"; | |
1683 | result.insert(static_cast<std::string::size_type>(0), pp); | |
1684 | } | |
1685 | } | |
1686 | else | |
1687 | { | |
1688 | result.assign(Bits / 3 + 1, '0'); | |
1689 | std::string::difference_type pos = result.size() - 1; | |
1690 | cpp_int_backend t(*this); | |
1691 | cpp_int_backend r; | |
1692 | bool neg = false; | |
1693 | if(t.sign()) | |
1694 | { | |
1695 | t.negate(); | |
1696 | neg = true; | |
1697 | } | |
1698 | if(this->size() == 1) | |
1699 | { | |
1700 | result = boost::lexical_cast<std::string>(t.limbs()[0]); | |
1701 | } | |
1702 | else | |
1703 | { | |
1704 | cpp_int_backend block10; | |
1705 | block10 = max_block_10; | |
1706 | while(eval_get_sign(t) != 0) | |
1707 | { | |
1708 | cpp_int_backend t2; | |
1709 | divide_unsigned_helper(&t2, t, block10, r); | |
1710 | t = t2; | |
1711 | limb_type v = r.limbs()[0]; | |
1712 | for(unsigned i = 0; i < digits_per_block_10; ++i) | |
1713 | { | |
1714 | char c = '0' + v % 10; | |
1715 | v /= 10; | |
1716 | result[pos] = c; | |
1717 | if(pos-- == 0) | |
1718 | break; | |
1719 | } | |
1720 | } | |
1721 | } | |
1722 | std::string::size_type n = result.find_first_not_of('0'); | |
1723 | result.erase(0, n); | |
1724 | if(result.empty()) | |
1725 | result = "0"; | |
1726 | if(neg) | |
1727 | result.insert(static_cast<std::string::size_type>(0), 1, '-'); | |
1728 | else if(f & std::ios_base::showpos) | |
1729 | result.insert(static_cast<std::string::size_type>(0), 1, '+'); | |
1730 | } | |
1731 | return result; | |
1732 | } | |
1733 | public: | |
1734 | std::string str(std::streamsize /*digits*/, std::ios_base::fmtflags f)const | |
1735 | { | |
1736 | return do_get_string(f, trivial_tag()); | |
1737 | } | |
1738 | private: | |
1739 | template <class Container> | |
1740 | void construct_from_container(const Container& c, const mpl::false_&) | |
1741 | { | |
1742 | // | |
1743 | // We assume that c is a sequence of (unsigned) bytes with the most significant byte first: | |
1744 | // | |
1745 | unsigned newsize = static_cast<unsigned>(c.size() / sizeof(limb_type)); | |
1746 | if(c.size() % sizeof(limb_type)) | |
1747 | { | |
1748 | ++newsize; | |
1749 | } | |
1750 | if(newsize) | |
1751 | { | |
1752 | this->resize(newsize, newsize); // May throw | |
1753 | std::memset(this->limbs(), 0, this->size()); | |
1754 | typename Container::const_iterator i(c.begin()), j(c.end()); | |
1755 | unsigned byte_location = static_cast<unsigned>(c.size() - 1); | |
1756 | while(i != j) | |
1757 | { | |
1758 | unsigned limb = byte_location / sizeof(limb_type); | |
1759 | unsigned shift = (byte_location % sizeof(limb_type)) * CHAR_BIT; | |
1760 | if(this->size() > limb) | |
1761 | this->limbs()[limb] |= static_cast<limb_type>(static_cast<unsigned char>(*i)) << shift; | |
1762 | ++i; | |
1763 | --byte_location; | |
1764 | } | |
1765 | } | |
1766 | } | |
1767 | template <class Container> | |
1768 | void construct_from_container(const Container& c, const mpl::true_&) | |
1769 | { | |
1770 | // | |
1771 | // We assume that c is a sequence of (unsigned) bytes with the most significant byte first: | |
1772 | // | |
1773 | typedef typename base_type::local_limb_type local_limb_type; | |
1774 | *this->limbs() = 0; | |
1775 | if(c.size()) | |
1776 | { | |
1777 | typename Container::const_iterator i(c.begin()), j(c.end()); | |
1778 | unsigned byte_location = static_cast<unsigned>(c.size() - 1); | |
1779 | while(i != j) | |
1780 | { | |
1781 | unsigned limb = byte_location / sizeof(local_limb_type); | |
1782 | unsigned shift = (byte_location % sizeof(local_limb_type)) * CHAR_BIT; | |
1783 | if(limb == 0) | |
1784 | this->limbs()[0] |= static_cast<limb_type>(static_cast<unsigned char>(*i)) << shift; | |
1785 | ++i; | |
1786 | --byte_location; | |
1787 | } | |
1788 | } | |
1789 | } | |
1790 | public: | |
1791 | template <class Container> | |
1792 | cpp_int_backend(const Container& c, typename boost::enable_if_c<boost::multiprecision::detail::is_byte_container<Container>::value>::type const* = 0) | |
1793 | { | |
1794 | // | |
1795 | // We assume that c is a sequence of (unsigned) bytes with the most significant byte first: | |
1796 | // | |
1797 | construct_from_container(c, trivial_tag()); | |
1798 | } | |
1799 | template <unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2> | |
1800 | int compare_imp(const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o, const mpl::false_&, const mpl::false_&)const BOOST_NOEXCEPT | |
1801 | { | |
1802 | if(this->sign() != o.sign()) | |
1803 | return this->sign() ? -1 : 1; | |
1804 | ||
1805 | // Only do the compare if the same sign: | |
1806 | int result = compare_unsigned(o); | |
1807 | ||
1808 | if(this->sign()) | |
1809 | result = -result; | |
1810 | return result; | |
1811 | } | |
1812 | template <unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2> | |
1813 | int compare_imp(const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o, const mpl::true_&, const mpl::false_&)const | |
1814 | { | |
1815 | cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> t(*this); | |
1816 | return t.compare(o); | |
1817 | } | |
1818 | template <unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2> | |
1819 | int compare_imp(const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o, const mpl::false_&, const mpl::true_&)const | |
1820 | { | |
1821 | cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> t(o); | |
1822 | return compare(t); | |
1823 | } | |
1824 | template <unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2> | |
1825 | int compare_imp(const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o, const mpl::true_&, const mpl::true_&)const BOOST_NOEXCEPT | |
1826 | { | |
1827 | if(this->sign()) | |
1828 | { | |
1829 | if(o.sign()) | |
1830 | { | |
1831 | return *this->limbs() < *o.limbs() ? 1 : (*this->limbs() > *o.limbs() ? -1 : 0); | |
1832 | } | |
1833 | else | |
1834 | return -1; | |
1835 | } | |
1836 | else | |
1837 | { | |
1838 | if(o.sign()) | |
1839 | return 1; | |
1840 | return *this->limbs() < *o.limbs() ? -1 : (*this->limbs() > *o.limbs() ? 1 : 0); | |
1841 | } | |
1842 | } | |
1843 | template <unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2> | |
1844 | int compare(const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o)const BOOST_NOEXCEPT | |
1845 | { | |
1846 | typedef mpl::bool_<is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> >::value> t1; | |
1847 | typedef mpl::bool_<is_trivial_cpp_int<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value> t2; | |
1848 | return compare_imp(o, t1(), t2()); | |
1849 | } | |
1850 | template <unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2> | |
1851 | int compare_unsigned(const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o)const BOOST_NOEXCEPT | |
1852 | { | |
1853 | if(this->size() != o.size()) | |
1854 | { | |
1855 | return this->size() > o.size() ? 1 : -1; | |
1856 | } | |
1857 | typename base_type::const_limb_pointer pa = this->limbs(); | |
1858 | typename base_type::const_limb_pointer pb = o.limbs(); | |
1859 | for(int i = this->size() - 1; i >= 0; --i) | |
1860 | { | |
1861 | if(pa[i] != pb[i]) | |
1862 | return pa[i] > pb[i] ? 1 : -1; | |
1863 | } | |
1864 | return 0; | |
1865 | } | |
1866 | template <class Arithmetic> | |
1867 | BOOST_MP_FORCEINLINE typename boost::enable_if<is_arithmetic<Arithmetic>, int>::type compare(Arithmetic i)const | |
1868 | { | |
1869 | // braindead version: | |
1870 | cpp_int_backend t; | |
1871 | t = i; | |
1872 | return compare(t); | |
1873 | } | |
1874 | }; | |
1875 | ||
1876 | } // namespace backends | |
1877 | ||
1878 | namespace default_ops{ | |
1879 | ||
1880 | template <class Backend> | |
1881 | struct double_precision_type; | |
1882 | ||
1883 | template <unsigned MinBits, unsigned MaxBits, cpp_integer_type SignType, cpp_int_check_type Checked, class Allocator> | |
1884 | struct double_precision_type<backends::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> > | |
1885 | { | |
1886 | typedef typename mpl::if_c< | |
1887 | backends::is_fixed_precision<backends::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> >::value, | |
1888 | backends::cpp_int_backend< | |
1889 | (is_void<Allocator>::value ? | |
1890 | 2 * backends::max_precision<backends::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> >::value | |
1891 | : MinBits), | |
1892 | 2 * backends::max_precision<backends::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> >::value, | |
1893 | SignType, | |
1894 | Checked, | |
1895 | Allocator>, | |
1896 | backends::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> | |
1897 | >::type type; | |
1898 | }; | |
1899 | ||
1900 | ||
1901 | } | |
1902 | ||
1903 | template <unsigned MinBits, unsigned MaxBits, cpp_integer_type SignType, cpp_int_check_type Checked> | |
1904 | struct expression_template_default<backends::cpp_int_backend<MinBits, MaxBits, SignType, Checked, void> > | |
1905 | { | |
1906 | static const expression_template_option value = et_off; | |
1907 | }; | |
1908 | ||
1909 | using boost::multiprecision::backends::cpp_int_backend; | |
1910 | ||
1911 | template <unsigned MinBits, unsigned MaxBits, cpp_integer_type SignType, cpp_int_check_type Checked, class Allocator> | |
1912 | struct number_category<cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> > : public mpl::int_<number_kind_integer>{}; | |
1913 | ||
1914 | typedef number<cpp_int_backend<> > cpp_int; | |
1915 | typedef rational_adaptor<cpp_int_backend<> > cpp_rational_backend; | |
1916 | typedef number<cpp_rational_backend> cpp_rational; | |
1917 | ||
1918 | // Fixed precision unsigned types: | |
1919 | typedef number<cpp_int_backend<128, 128, unsigned_magnitude, unchecked, void> > uint128_t; | |
1920 | typedef number<cpp_int_backend<256, 256, unsigned_magnitude, unchecked, void> > uint256_t; | |
1921 | typedef number<cpp_int_backend<512, 512, unsigned_magnitude, unchecked, void> > uint512_t; | |
1922 | typedef number<cpp_int_backend<1024, 1024, unsigned_magnitude, unchecked, void> > uint1024_t; | |
1923 | ||
1924 | // Fixed precision signed types: | |
1925 | typedef number<cpp_int_backend<128, 128, signed_magnitude, unchecked, void> > int128_t; | |
1926 | typedef number<cpp_int_backend<256, 256, signed_magnitude, unchecked, void> > int256_t; | |
1927 | typedef number<cpp_int_backend<512, 512, signed_magnitude, unchecked, void> > int512_t; | |
1928 | typedef number<cpp_int_backend<1024, 1024, signed_magnitude, unchecked, void> > int1024_t; | |
1929 | ||
1930 | // Over again, but with checking enabled this time: | |
1931 | typedef number<cpp_int_backend<0, 0, signed_magnitude, checked> > checked_cpp_int; | |
1932 | typedef rational_adaptor<cpp_int_backend<0, 0, signed_magnitude, checked> > checked_cpp_rational_backend; | |
1933 | typedef number<checked_cpp_rational_backend> checked_cpp_rational; | |
1934 | // Fixed precision unsigned types: | |
1935 | typedef number<cpp_int_backend<128, 128, unsigned_magnitude, checked, void> > checked_uint128_t; | |
1936 | typedef number<cpp_int_backend<256, 256, unsigned_magnitude, checked, void> > checked_uint256_t; | |
1937 | typedef number<cpp_int_backend<512, 512, unsigned_magnitude, checked, void> > checked_uint512_t; | |
1938 | typedef number<cpp_int_backend<1024, 1024, unsigned_magnitude, checked, void> > checked_uint1024_t; | |
1939 | ||
1940 | // Fixed precision signed types: | |
1941 | typedef number<cpp_int_backend<128, 128, signed_magnitude, checked, void> > checked_int128_t; | |
1942 | typedef number<cpp_int_backend<256, 256, signed_magnitude, checked, void> > checked_int256_t; | |
1943 | typedef number<cpp_int_backend<512, 512, signed_magnitude, checked, void> > checked_int512_t; | |
1944 | typedef number<cpp_int_backend<1024, 1024, signed_magnitude, checked, void> > checked_int1024_t; | |
1945 | ||
1946 | #ifdef BOOST_NO_SFINAE_EXPR | |
1947 | ||
1948 | namespace detail{ | |
1949 | ||
1950 | template<unsigned MinBits, unsigned MaxBits, cpp_integer_type SignType, cpp_int_check_type Checked, class Allocator, unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2> | |
1951 | struct is_explicitly_convertible<cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> > : public mpl::true_ {}; | |
1952 | ||
1953 | } | |
1954 | #endif | |
1955 | ||
1956 | #ifdef _MSC_VER | |
1957 | #pragma warning(pop) | |
1958 | #endif | |
1959 | ||
1960 | }} // namespaces | |
1961 | ||
1962 | // | |
1963 | // Last of all we include the implementations of all the eval_* non member functions: | |
1964 | // | |
1965 | #include <boost/multiprecision/cpp_int/comparison.hpp> | |
1966 | #include <boost/multiprecision/cpp_int/add.hpp> | |
1967 | #include <boost/multiprecision/cpp_int/multiply.hpp> | |
1968 | #include <boost/multiprecision/cpp_int/divide.hpp> | |
1969 | #include <boost/multiprecision/cpp_int/bitwise.hpp> | |
1970 | #include <boost/multiprecision/cpp_int/misc.hpp> | |
1971 | #include <boost/multiprecision/cpp_int/limits.hpp> | |
1972 | #ifdef BOOST_MP_USER_DEFINED_LITERALS | |
1973 | #include <boost/multiprecision/cpp_int/literals.hpp> | |
1974 | #endif | |
1975 | #include <boost/multiprecision/cpp_int/serialize.hpp> | |
1976 | #include <boost/multiprecision/cpp_int/import_export.hpp> | |
1977 | ||
1978 | #endif |