3609 lines
119 KiB
C++
3609 lines
119 KiB
C++
/* gmpxx.h -- C++ class wrapper for GMP types. -*- C++ -*-
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Copyright 2001, 2002, 2003, 2006, 2008, 2011, 2012 Free Software Foundation,
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Inc.
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This file is part of the GNU MP Library.
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The GNU MP Library is free software; you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation; either version 3 of the License, or (at your
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option) any later version.
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The GNU MP Library is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */
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/* the C++ compiler must implement the following features:
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- member templates
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- partial specialization of templates
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- namespace support
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for g++, this means version 2.91 or higher
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for other compilers, I don't know */
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#ifdef __GNUC__
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#if __GNUC__ < 2 || (__GNUC__ == 2 && __GNUC_MINOR__ < 91)
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#error mpirxx.h requires g++ version 2.91 (egcs 1.1.2) or higher
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#endif
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#endif
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#ifndef __GMP_PLUSPLUS__
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#define __GMP_PLUSPLUS__
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#include <iosfwd>
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#include <cstring> /* for strlen */
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#include <limits> /* numeric_limits */
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#include <utility>
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#include <string>
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#include <stdexcept>
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#include <cfloat>
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#include <algorithm> /* swap */
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#include <mpir.h>
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#if defined( _MSC_VER ) && _MSC_VER >= 1700
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# define MSC_CXX_11 1
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#elif defined( __INTEL_COMPILER ) && __INTEL_COMPILER > 1310
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# define MSC_CXX_11 1
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#elif defined( __ICL ) && __ICL > 1310
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# define MSC_CXX_11 1
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#endif
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#if defined(LLONG_MAX) && defined(LONG_MAX)
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#if LLONG_MAX != LONG_MAX
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#define MPIRXX_HAVE_LLONG 1
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#endif
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#endif
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#if defined(MPIR_HAVE_STDINT)
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# if defined(LONG_MAX) && INTMAX_MAX != LONG_MAX && (INTMAX_MAX != LLONG_MAX || !defined(MPIRXX_HAVE_LLONG))
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# define MPIRXX_INTMAX_T 1
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# endif
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# if defined(ULONG_MAX) && UINTMAX_MAX != ULONG_MAX && (UINTMAX_MAX != ULLONG_MAX || !defined(MPIRXX_HAVE_LLONG))
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# define MPIRXX_UINTMAX_T 1
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# endif
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#endif
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// wrapper for gcc's __builtin_constant_p
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// __builtin_constant_p has been in gcc since forever,
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// but g++-3.4 miscompiles it.
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#if __GMP_GNUC_PREREQ(4, 2)
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#define __GMPXX_CONSTANT(X) __builtin_constant_p(X)
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#else
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#define __GMPXX_CONSTANT(X) false
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#endif
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// Use C++11 features
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#ifndef __GMPXX_USE_CXX11
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#if __cplusplus >= 201103L
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#define __GMPXX_USE_CXX11 1
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#else
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#define __GMPXX_USE_CXX11 0
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#endif
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#endif
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#if __GMPXX_USE_CXX11
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#define __GMPXX_NOEXCEPT noexcept
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#include <type_traits> // for common_type
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#else
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#define __GMPXX_NOEXCEPT
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#endif
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// Max allocations for plain types when converted to mpz_t
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#define __GMPZ_DBL_LIMBS (2 + DBL_MAX_EXP / GMP_NUMB_BITS)
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#if GMP_NAIL_BITS != 0 && ! defined _LONG_LONG_LIMB
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#define __GMPZ_ULI_LIMBS 2
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#else
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#define __GMPZ_ULI_LIMBS 1
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#endif
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inline void __mpz_set_ui_safe(mpz_ptr p, mpir_ui l)
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{
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p->_mp_size = (l != 0);
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p->_mp_d[0] = l & GMP_NUMB_MASK;
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#if __GMPZ_ULI_LIMBS > 1
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l >>= GMP_NUMB_BITS;
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p->_mp_d[1] = l;
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p->_mp_size += (l != 0);
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#endif
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}
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inline void __mpz_set_si_safe(mpz_ptr p, mpir_si l)
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{
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if(l < 0)
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{
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__mpz_set_ui_safe(p, -static_cast<mpir_ui>(l));
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mpz_neg(p, p);
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}
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else
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__mpz_set_ui_safe(p, l);
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// Note: we know the high bit of l is 0 so we could do slightly better
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}
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// Fake temporary variables
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#define __GMPXX_TMPZ_UI \
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mpz_t temp; \
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mp_limb_t limbs[__GMPZ_ULI_LIMBS]; \
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temp->_mp_d = limbs; \
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__mpz_set_ui_safe (temp, l)
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#define __GMPXX_TMPZ_SI \
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mpz_t temp; \
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mp_limb_t limbs[__GMPZ_ULI_LIMBS]; \
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temp->_mp_d = limbs; \
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__mpz_set_si_safe (temp, l)
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#define __GMPXX_TMPZ_D \
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mpz_t temp; \
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mp_limb_t limbs[__GMPZ_DBL_LIMBS]; \
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temp->_mp_d = limbs; \
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temp->_mp_alloc = __GMPZ_DBL_LIMBS; \
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mpz_set_d (temp, d)
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#define __GMPXX_TMPQ_UI \
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mpq_t temp; \
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mp_limb_t limbs[__GMPZ_ULI_LIMBS+1]; \
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mpq_numref(temp)->_mp_d = limbs; \
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__mpz_set_ui_safe (mpq_numref(temp), l); \
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mpq_denref(temp)->_mp_d = limbs + __GMPZ_ULI_LIMBS; \
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mpq_denref(temp)->_mp_size = 1; \
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mpq_denref(temp)->_mp_d[0] = 1
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#define __GMPXX_TMPQ_SI \
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mpq_t temp; \
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mp_limb_t limbs[__GMPZ_ULI_LIMBS+1]; \
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mpq_numref(temp)->_mp_d = limbs; \
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__mpz_set_si_safe (mpq_numref(temp), l); \
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mpq_denref(temp)->_mp_d = limbs + __GMPZ_ULI_LIMBS; \
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mpq_denref(temp)->_mp_size = 1; \
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mpq_denref(temp)->_mp_d[0] = 1
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inline mpir_ui __gmpxx_abs_ui (mpir_si l)
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{
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return l >= 0 ? static_cast<mpir_ui>(l)
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: -static_cast<mpir_ui>(l);
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}
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/**************** Function objects ****************/
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/* Any evaluation of a __gmp_expr ends up calling one of these functions
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all intermediate functions being inline, the evaluation should optimize
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to a direct call to the relevant function, thus yielding no overhead
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over the C interface. */
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struct __gmp_unary_plus
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{
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static void eval(mpz_ptr z, mpz_srcptr w) { mpz_set(z, w); }
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static void eval(mpq_ptr q, mpq_srcptr r) { mpq_set(q, r); }
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static void eval(mpf_ptr f, mpf_srcptr g) { mpf_set(f, g); }
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};
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struct __gmp_unary_minus
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{
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static void eval(mpz_ptr z, mpz_srcptr w) { mpz_neg(z, w); }
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static void eval(mpq_ptr q, mpq_srcptr r) { mpq_neg(q, r); }
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static void eval(mpf_ptr f, mpf_srcptr g) { mpf_neg(f, g); }
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};
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struct __gmp_unary_com
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{
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static void eval(mpz_ptr z, mpz_srcptr w) { mpz_com(z, w); }
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};
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struct __gmp_binary_plus
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{
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static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v)
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{ mpz_add(z, w, v); }
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static void eval(mpz_ptr z, mpz_srcptr w, mpir_ui l)
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{
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// Ideally, those checks should happen earlier so that the tree
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// generated for a+0+b would just be sum(a,b).
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if (__GMPXX_CONSTANT(l) && l == 0)
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{
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if (z != w) mpz_set(z, w);
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}
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else
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mpz_add_ui(z, w, l);
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}
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static void eval(mpz_ptr z, mpir_ui l, mpz_srcptr w)
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{ eval(z, w, l); }
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static void eval(mpz_ptr z, mpz_srcptr w, mpir_si l)
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{
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if (l >= 0)
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eval(z, w, static_cast<mpir_ui>(l));
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else
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mpz_sub_ui(z, w, -static_cast<mpir_ui>(l));
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}
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static void eval(mpz_ptr z, mpir_si l, mpz_srcptr w)
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{ eval(z, w, l); }
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static void eval(mpz_ptr z, mpz_srcptr w, double d)
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{ __GMPXX_TMPZ_D; mpz_add (z, w, temp); }
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static void eval(mpz_ptr z, double d, mpz_srcptr w)
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{ eval(z, w, d); }
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static void eval(mpq_ptr q, mpq_srcptr r, mpq_srcptr s)
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{ mpq_add(q, r, s); }
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static void eval(mpq_ptr q, mpq_srcptr r, mpir_ui l)
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{
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if (__GMPXX_CONSTANT(l) && l == 0)
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{
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if (q != r) mpq_set(q, r);
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}
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else
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{
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if (q == r)
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mpz_addmul_ui(mpq_numref(q), mpq_denref(q), l);
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else
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{
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mpz_mul_ui(mpq_numref(q), mpq_denref(r), l);
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mpz_add(mpq_numref(q), mpq_numref(q), mpq_numref(r));
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mpz_set(mpq_denref(q), mpq_denref(r));
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}
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}
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}
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static void eval(mpq_ptr q, mpir_ui l, mpq_srcptr r)
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{ eval(q, r, l); }
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static inline void eval(mpq_ptr q, mpq_srcptr r, mpir_si l);
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// defined after __gmp_binary_minus
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static void eval(mpq_ptr q, mpir_si l, mpq_srcptr r)
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{ eval(q, r, l); }
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static void eval(mpq_ptr q, mpq_srcptr r, double d)
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{
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mpq_t temp;
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mpq_init(temp);
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mpq_set_d(temp, d);
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mpq_add(q, r, temp);
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mpq_clear(temp);
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}
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static void eval(mpq_ptr q, double d, mpq_srcptr r)
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{ eval(q, r, d); }
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static void eval(mpq_ptr q, mpq_srcptr r, mpz_srcptr z)
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{
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if (q == r)
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mpz_addmul(mpq_numref(q), mpq_denref(q), z);
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else
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{
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mpz_mul(mpq_numref(q), mpq_denref(r), z);
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mpz_add(mpq_numref(q), mpq_numref(q), mpq_numref(r));
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mpz_set(mpq_denref(q), mpq_denref(r));
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}
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}
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static void eval(mpq_ptr q, mpz_srcptr z, mpq_srcptr r)
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{ eval(q, r, z); }
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static void eval(mpf_ptr f, mpf_srcptr g, mpf_srcptr h)
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{ mpf_add(f, g, h); }
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static void eval(mpf_ptr f, mpf_srcptr g, mpir_ui l)
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{ mpf_add_ui(f, g, l); }
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static void eval(mpf_ptr f, mpir_ui l, mpf_srcptr g)
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{ mpf_add_ui(f, g, l); }
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static void eval(mpf_ptr f, mpf_srcptr g, mpir_si l)
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{
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if (l >= 0)
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mpf_add_ui(f, g, l);
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else
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mpf_sub_ui(f, g, -static_cast<mpir_ui>(l));
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}
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static void eval(mpf_ptr f, mpir_si l, mpf_srcptr g)
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{ eval(f, g, l); }
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static void eval(mpf_ptr f, mpf_srcptr g, double d)
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{
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mpf_t temp;
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mpf_init2(temp, 8*sizeof(double));
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mpf_set_d(temp, d);
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mpf_add(f, g, temp);
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mpf_clear(temp);
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}
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static void eval(mpf_ptr f, double d, mpf_srcptr g)
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{ eval(f, g, d); }
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};
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struct __gmp_binary_minus
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{
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static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v)
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{ mpz_sub(z, w, v); }
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static void eval(mpz_ptr z, mpz_srcptr w, mpir_ui l)
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{
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if (__GMPXX_CONSTANT(l) && l == 0)
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{
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if (z != w) mpz_set(z, w);
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}
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else
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mpz_sub_ui(z, w, l);
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}
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static void eval(mpz_ptr z, mpir_ui l, mpz_srcptr w)
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{
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if (__GMPXX_CONSTANT(l) && l == 0)
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{
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mpz_neg(z, w);
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}
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else
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mpz_ui_sub(z, l, w);
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}
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static void eval(mpz_ptr z, mpz_srcptr w, mpir_si l)
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{
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if (l >= 0)
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eval(z, w, static_cast<mpir_ui>(l));
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else
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mpz_add_ui(z, w, -static_cast<mpir_ui>(l));
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}
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static void eval(mpz_ptr z, mpir_si l, mpz_srcptr w)
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{
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if (l >= 0)
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eval(z, static_cast<mpir_ui>(l), w);
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else
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{
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mpz_add_ui(z, w, -static_cast<mpir_ui>(l));
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mpz_neg(z, z);
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}
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}
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static void eval(mpz_ptr z, mpz_srcptr w, double d)
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{ __GMPXX_TMPZ_D; mpz_sub (z, w, temp); }
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static void eval(mpz_ptr z, double d, mpz_srcptr w)
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{ __GMPXX_TMPZ_D; mpz_sub (z, temp, w); }
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static void eval(mpq_ptr q, mpq_srcptr r, mpq_srcptr s)
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{ mpq_sub(q, r, s); }
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static void eval(mpq_ptr q, mpq_srcptr r, mpir_ui l)
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{
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if (__GMPXX_CONSTANT(l) && l == 0)
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{
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if (q != r) mpq_set(q, r);
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}
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else
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{
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if (q == r)
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mpz_submul_ui(mpq_numref(q), mpq_denref(q), l);
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else
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{
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mpz_mul_ui(mpq_numref(q), mpq_denref(r), l);
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mpz_sub(mpq_numref(q), mpq_numref(r), mpq_numref(q));
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mpz_set(mpq_denref(q), mpq_denref(r));
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}
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}
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}
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static void eval(mpq_ptr q, mpir_ui l, mpq_srcptr r)
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{ eval(q, r, l); mpq_neg(q, q); }
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static void eval(mpq_ptr q, mpq_srcptr r, mpir_si l)
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{
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if (l >= 0)
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eval(q, r, static_cast<mpir_ui>(l));
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else
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__gmp_binary_plus::eval(q, r, -static_cast<mpir_ui>(l));
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}
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static void eval(mpq_ptr q, mpir_si l, mpq_srcptr r)
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{ eval(q, r, l); mpq_neg(q, q); }
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static void eval(mpq_ptr q, mpq_srcptr r, double d)
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{
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mpq_t temp;
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mpq_init(temp);
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mpq_set_d(temp, d);
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mpq_sub(q, r, temp);
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mpq_clear(temp);
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}
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static void eval(mpq_ptr q, double d, mpq_srcptr r)
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{
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mpq_t temp;
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mpq_init(temp);
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mpq_set_d(temp, d);
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mpq_sub(q, temp, r);
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mpq_clear(temp);
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}
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static void eval(mpq_ptr q, mpq_srcptr r, mpz_srcptr z)
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{
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if (q == r)
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mpz_submul(mpq_numref(q), mpq_denref(q), z);
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else
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{
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mpz_mul(mpq_numref(q), mpq_denref(r), z);
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mpz_sub(mpq_numref(q), mpq_numref(r), mpq_numref(q));
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mpz_set(mpq_denref(q), mpq_denref(r));
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}
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}
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static void eval(mpq_ptr q, mpz_srcptr z, mpq_srcptr r)
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{ eval(q, r, z); mpq_neg(q, q); }
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static void eval(mpf_ptr f, mpf_srcptr g, mpf_srcptr h)
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{ mpf_sub(f, g, h); }
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static void eval(mpf_ptr f, mpf_srcptr g, mpir_ui l)
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{ mpf_sub_ui(f, g, l); }
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static void eval(mpf_ptr f, mpir_ui l, mpf_srcptr g)
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{ mpf_ui_sub(f, l, g); }
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static void eval(mpf_ptr f, mpf_srcptr g, mpir_si l)
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{
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if (l >= 0)
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mpf_sub_ui(f, g, l);
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else
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mpf_add_ui(f, g, -static_cast<mpir_ui>(l));
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}
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static void eval(mpf_ptr f, mpir_si l, mpf_srcptr g)
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{
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if (l >= 0)
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mpf_sub_ui(f, g, l);
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else
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mpf_add_ui(f, g, -static_cast<mpir_ui>(l));
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mpf_neg(f, f);
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}
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static void eval(mpf_ptr f, mpf_srcptr g, double d)
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{
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mpf_t temp;
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mpf_init2(temp, 8*sizeof(double));
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mpf_set_d(temp, d);
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mpf_sub(f, g, temp);
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mpf_clear(temp);
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}
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static void eval(mpf_ptr f, double d, mpf_srcptr g)
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{
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mpf_t temp;
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mpf_init2(temp, 8*sizeof(double));
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mpf_set_d(temp, d);
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mpf_sub(f, temp, g);
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mpf_clear(temp);
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}
|
|
};
|
|
|
|
// defined here so it can reference __gmp_binary_minus
|
|
inline void
|
|
__gmp_binary_plus::eval(mpq_ptr q, mpq_srcptr r, mpir_si l)
|
|
{
|
|
if (l >= 0)
|
|
eval(q, r, static_cast<mpir_ui>(l));
|
|
else
|
|
__gmp_binary_minus::eval(q, r, -static_cast<mpir_ui>(l));
|
|
}
|
|
|
|
struct __gmp_binary_lshift
|
|
{
|
|
static void eval(mpz_ptr z, mpz_srcptr w, mp_bitcnt_t l)
|
|
{
|
|
if (__GMPXX_CONSTANT(l) && (l == 0))
|
|
{
|
|
if (z != w) mpz_set(z, w);
|
|
}
|
|
else
|
|
mpz_mul_2exp(z, w, l);
|
|
}
|
|
static void eval(mpq_ptr q, mpq_srcptr r, mp_bitcnt_t l)
|
|
{
|
|
if (__GMPXX_CONSTANT(l) && (l == 0))
|
|
{
|
|
if (q != r) mpq_set(q, r);
|
|
}
|
|
else
|
|
mpq_mul_2exp(q, r, l);
|
|
}
|
|
static void eval(mpf_ptr f, mpf_srcptr g, mp_bitcnt_t l)
|
|
{ mpf_mul_2exp(f, g, l); }
|
|
};
|
|
|
|
struct __gmp_binary_rshift
|
|
{
|
|
static void eval(mpz_ptr z, mpz_srcptr w, mp_bitcnt_t l)
|
|
{
|
|
if (__GMPXX_CONSTANT(l) && (l == 0))
|
|
{
|
|
if (z != w) mpz_set(z, w);
|
|
}
|
|
else
|
|
mpz_fdiv_q_2exp(z, w, l);
|
|
}
|
|
static void eval(mpq_ptr q, mpq_srcptr r, mp_bitcnt_t l)
|
|
{
|
|
if (__GMPXX_CONSTANT(l) && (l == 0))
|
|
{
|
|
if (q != r) mpq_set(q, r);
|
|
}
|
|
else
|
|
mpq_div_2exp(q, r, l);
|
|
}
|
|
static void eval(mpf_ptr f, mpf_srcptr g, mp_bitcnt_t l)
|
|
{ mpf_div_2exp(f, g, l); }
|
|
};
|
|
|
|
struct __gmp_binary_multiplies
|
|
{
|
|
static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v)
|
|
{ mpz_mul(z, w, v); }
|
|
|
|
static void eval(mpz_ptr z, mpz_srcptr w, mpir_ui l)
|
|
{
|
|
// gcc-3.3 doesn't have __builtin_ctzl. Don't bother optimizing for old gcc.
|
|
#if __GMP_GNUC_PREREQ(3, 4)
|
|
if (__GMPXX_CONSTANT(l) && (l & (l-1)) == 0)
|
|
{
|
|
if (l == 0)
|
|
{
|
|
z->_mp_size = 0;
|
|
}
|
|
else
|
|
{
|
|
__gmp_binary_lshift::eval(z, w, __builtin_ctzl(l));
|
|
}
|
|
}
|
|
else
|
|
#endif
|
|
mpz_mul_ui(z, w, l);
|
|
}
|
|
static void eval(mpz_ptr z, mpir_ui l, mpz_srcptr w)
|
|
{ eval(z, w, l); }
|
|
static void eval(mpz_ptr z, mpz_srcptr w, mpir_si l)
|
|
{
|
|
if (__GMPXX_CONSTANT(l))
|
|
{
|
|
if (l >= 0)
|
|
eval(z, w, static_cast<mpir_ui>(l));
|
|
else
|
|
{
|
|
eval(z, w, -static_cast<mpir_ui>(l));
|
|
mpz_neg(z, z);
|
|
}
|
|
}
|
|
else
|
|
mpz_mul_si (z, w, l);
|
|
}
|
|
static void eval(mpz_ptr z, mpir_si l, mpz_srcptr w)
|
|
{ eval(z, w, l); }
|
|
static void eval(mpz_ptr z, mpz_srcptr w, double d)
|
|
{ __GMPXX_TMPZ_D; mpz_mul (z, w, temp); }
|
|
static void eval(mpz_ptr z, double d, mpz_srcptr w)
|
|
{ eval(z, w, d); }
|
|
|
|
static void eval(mpq_ptr q, mpq_srcptr r, mpq_srcptr s)
|
|
{ mpq_mul(q, r, s); }
|
|
|
|
static void eval(mpq_ptr q, mpq_srcptr r, mpir_ui l)
|
|
{
|
|
#if __GMP_GNUC_PREREQ(3, 4)
|
|
if (__GMPXX_CONSTANT(l) && (l & (l-1)) == 0)
|
|
{
|
|
if (l == 0)
|
|
{
|
|
mpq_set_ui(q, 0, 1);
|
|
}
|
|
else
|
|
{
|
|
__gmp_binary_lshift::eval(q, r, __builtin_ctzl(l));
|
|
}
|
|
}
|
|
else
|
|
#endif
|
|
{
|
|
__GMPXX_TMPQ_UI;
|
|
mpq_mul (q, r, temp);
|
|
}
|
|
}
|
|
static void eval(mpq_ptr q, mpir_ui l, mpq_srcptr r)
|
|
{ eval(q, r, l); }
|
|
static void eval(mpq_ptr q, mpq_srcptr r, mpir_si l)
|
|
{
|
|
if (__GMPXX_CONSTANT(l))
|
|
{
|
|
if (l >= 0)
|
|
eval(q, r, static_cast<mpir_ui>(l));
|
|
else
|
|
{
|
|
eval(q, r, -static_cast<mpir_ui>(l));
|
|
mpq_neg(q, q);
|
|
}
|
|
}
|
|
else
|
|
{
|
|
__GMPXX_TMPQ_SI;
|
|
mpq_mul (q, r, temp);
|
|
}
|
|
}
|
|
static void eval(mpq_ptr q, mpir_si l, mpq_srcptr r)
|
|
{ eval(q, r, l); }
|
|
static void eval(mpq_ptr q, mpq_srcptr r, double d)
|
|
{
|
|
mpq_t temp;
|
|
mpq_init(temp);
|
|
mpq_set_d(temp, d);
|
|
mpq_mul(q, r, temp);
|
|
mpq_clear(temp);
|
|
}
|
|
static void eval(mpq_ptr q, double d, mpq_srcptr r)
|
|
{ eval(q, r, d); }
|
|
|
|
static void eval(mpf_ptr f, mpf_srcptr g, mpf_srcptr h)
|
|
{ mpf_mul(f, g, h); }
|
|
|
|
static void eval(mpf_ptr f, mpf_srcptr g, mpir_ui l)
|
|
{ mpf_mul_ui(f, g, l); }
|
|
static void eval(mpf_ptr f, mpir_ui l, mpf_srcptr g)
|
|
{ mpf_mul_ui(f, g, l); }
|
|
static void eval(mpf_ptr f, mpf_srcptr g, mpir_si l)
|
|
{
|
|
if (l >= 0)
|
|
mpf_mul_ui(f, g, l);
|
|
else
|
|
{
|
|
mpf_mul_ui(f, g, -static_cast<mpir_ui>(l));
|
|
mpf_neg(f, f);
|
|
}
|
|
}
|
|
static void eval(mpf_ptr f, mpir_si l, mpf_srcptr g)
|
|
{ eval(f, g, l); }
|
|
static void eval(mpf_ptr f, mpf_srcptr g, double d)
|
|
{
|
|
mpf_t temp;
|
|
mpf_init2(temp, 8*sizeof(double));
|
|
mpf_set_d(temp, d);
|
|
mpf_mul(f, g, temp);
|
|
mpf_clear(temp);
|
|
}
|
|
static void eval(mpf_ptr f, double d, mpf_srcptr g)
|
|
{ eval(f, g, d); }
|
|
};
|
|
|
|
struct __gmp_binary_divides
|
|
{
|
|
static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v)
|
|
{ mpz_tdiv_q(z, w, v); }
|
|
|
|
static void eval(mpz_ptr z, mpz_srcptr w, mpir_ui l)
|
|
{
|
|
#if __GMP_GNUC_PREREQ(3, 4)
|
|
// Don't optimize division by 0...
|
|
if (__GMPXX_CONSTANT(l) && (l & (l-1)) == 0 && l != 0)
|
|
{
|
|
if (l == 1)
|
|
{
|
|
if (z != w) mpz_set(z, w);
|
|
}
|
|
else
|
|
mpz_tdiv_q_2exp(z, w, __builtin_ctzl(l));
|
|
// warning: do not use rshift (fdiv)
|
|
}
|
|
else
|
|
#endif
|
|
mpz_tdiv_q_ui(z, w, l);
|
|
}
|
|
static void eval(mpz_ptr z, mpir_ui l, mpz_srcptr w)
|
|
{
|
|
if (mpz_sgn(w) >= 0)
|
|
{
|
|
if (mpz_fits_ui_p(w))
|
|
mpz_set_ui(z, l / mpz_get_ui(w));
|
|
else
|
|
mpz_set_ui(z, 0);
|
|
}
|
|
else
|
|
{
|
|
mpz_neg(z, w);
|
|
if (mpz_fits_ui_p(z))
|
|
{
|
|
mpz_set_ui(z, l / mpz_get_ui(z));
|
|
mpz_neg(z, z);
|
|
}
|
|
else
|
|
mpz_set_ui(z, 0);
|
|
}
|
|
}
|
|
static void eval(mpz_ptr z, mpz_srcptr w, mpir_si l)
|
|
{
|
|
if (l >= 0)
|
|
eval(z, w, static_cast<mpir_ui>(l));
|
|
else
|
|
{
|
|
eval(z, w, -static_cast<mpir_ui>(l));
|
|
mpz_neg(z, z);
|
|
}
|
|
}
|
|
static void eval(mpz_ptr z, mpir_si l, mpz_srcptr w)
|
|
{
|
|
if (mpz_fits_si_p(w))
|
|
mpz_set_si(z, l / mpz_get_si(w));
|
|
else
|
|
{
|
|
/* if w is bigger than a long then the quotient must be zero, unless
|
|
l==LONG_MIN and w==-LONG_MIN in which case the quotient is -1 */
|
|
mpz_set_si (z, (mpz_cmpabs_ui (w, (l >= 0 ? l : -l)) == 0 ? -1 : 0));
|
|
}
|
|
}
|
|
static void eval(mpz_ptr z, mpz_srcptr w, double d)
|
|
{ __GMPXX_TMPZ_D; mpz_tdiv_q (z, w, temp); }
|
|
static void eval(mpz_ptr z, double d, mpz_srcptr w)
|
|
{ __GMPXX_TMPZ_D; mpz_tdiv_q (z, temp, w); }
|
|
|
|
static void eval(mpq_ptr q, mpq_srcptr r, mpq_srcptr s)
|
|
{ mpq_div(q, r, s); }
|
|
|
|
static void eval(mpq_ptr q, mpq_srcptr r, mpir_ui l)
|
|
{
|
|
#if __GMP_GNUC_PREREQ(3, 4)
|
|
if (__GMPXX_CONSTANT(l) && (l & (l-1)) == 0 && l != 0)
|
|
__gmp_binary_rshift::eval(q, r, __builtin_ctzl(l));
|
|
else
|
|
#endif
|
|
{
|
|
__GMPXX_TMPQ_UI;
|
|
mpq_div (q, r, temp);
|
|
}
|
|
}
|
|
static void eval(mpq_ptr q, mpir_ui l, mpq_srcptr r)
|
|
{ __GMPXX_TMPQ_UI; mpq_div (q, temp, r); }
|
|
static void eval(mpq_ptr q, mpq_srcptr r, mpir_si l)
|
|
{
|
|
if (__GMPXX_CONSTANT(l))
|
|
{
|
|
if (l >= 0)
|
|
eval(q, r, static_cast<mpir_ui>(l));
|
|
else
|
|
{
|
|
eval(q, r, -static_cast<mpir_ui>(l));
|
|
mpq_neg(q, q);
|
|
}
|
|
}
|
|
else
|
|
{
|
|
__GMPXX_TMPQ_SI;
|
|
mpq_div (q, r, temp);
|
|
}
|
|
}
|
|
static void eval(mpq_ptr q, mpir_si l, mpq_srcptr r)
|
|
{ __GMPXX_TMPQ_SI; mpq_div (q, temp, r); }
|
|
static void eval(mpq_ptr q, mpq_srcptr r, double d)
|
|
{
|
|
mpq_t temp;
|
|
mpq_init(temp);
|
|
mpq_set_d(temp, d);
|
|
mpq_div(q, r, temp);
|
|
mpq_clear(temp);
|
|
}
|
|
static void eval(mpq_ptr q, double d, mpq_srcptr r)
|
|
{
|
|
mpq_t temp;
|
|
mpq_init(temp);
|
|
mpq_set_d(temp, d);
|
|
mpq_div(q, temp, r);
|
|
mpq_clear(temp);
|
|
}
|
|
|
|
static void eval(mpf_ptr f, mpf_srcptr g, mpf_srcptr h)
|
|
{ mpf_div(f, g, h); }
|
|
|
|
static void eval(mpf_ptr f, mpf_srcptr g, mpir_ui l)
|
|
{ mpf_div_ui(f, g, l); }
|
|
static void eval(mpf_ptr f, mpir_ui l, mpf_srcptr g)
|
|
{ mpf_ui_div(f, l, g); }
|
|
static void eval(mpf_ptr f, mpf_srcptr g, mpir_si l)
|
|
{
|
|
if (l >= 0)
|
|
mpf_div_ui(f, g, l);
|
|
else
|
|
{
|
|
mpf_div_ui(f, g, -static_cast<mpir_ui>(l));
|
|
mpf_neg(f, f);
|
|
}
|
|
}
|
|
static void eval(mpf_ptr f, mpir_si l, mpf_srcptr g)
|
|
{
|
|
if (l >= 0)
|
|
mpf_ui_div(f, l, g);
|
|
else
|
|
{
|
|
mpf_ui_div(f, -static_cast<mpir_ui>(l), g);
|
|
mpf_neg(f, f);
|
|
}
|
|
}
|
|
static void eval(mpf_ptr f, mpf_srcptr g, double d)
|
|
{
|
|
mpf_t temp;
|
|
mpf_init2(temp, 8*sizeof(double));
|
|
mpf_set_d(temp, d);
|
|
mpf_div(f, g, temp);
|
|
mpf_clear(temp);
|
|
}
|
|
static void eval(mpf_ptr f, double d, mpf_srcptr g)
|
|
{
|
|
mpf_t temp;
|
|
mpf_init2(temp, 8*sizeof(double));
|
|
mpf_set_d(temp, d);
|
|
mpf_div(f, temp, g);
|
|
mpf_clear(temp);
|
|
}
|
|
};
|
|
|
|
struct __gmp_binary_modulus
|
|
{
|
|
static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v)
|
|
{ mpz_tdiv_r(z, w, v); }
|
|
|
|
static void eval(mpz_ptr z, mpz_srcptr w, mpir_ui l)
|
|
{ mpz_tdiv_r_ui(z, w, l); }
|
|
static void eval(mpz_ptr z, mpir_ui l, mpz_srcptr w)
|
|
{
|
|
if (mpz_sgn(w) >= 0)
|
|
{
|
|
if (mpz_fits_ui_p(w))
|
|
mpz_set_ui(z, l % mpz_get_ui(w));
|
|
else
|
|
mpz_set_ui(z, l);
|
|
}
|
|
else
|
|
{
|
|
mpz_neg(z, w);
|
|
if (mpz_fits_ui_p(z))
|
|
mpz_set_ui(z, l % mpz_get_ui(z));
|
|
else
|
|
mpz_set_ui(z, l);
|
|
}
|
|
}
|
|
static void eval(mpz_ptr z, mpz_srcptr w, mpir_si l)
|
|
{
|
|
mpz_tdiv_r_ui (z, w, (l >= 0 ? l : -l));
|
|
}
|
|
static void eval(mpz_ptr z, mpir_si l, mpz_srcptr w)
|
|
{
|
|
if (mpz_fits_si_p(w))
|
|
mpz_set_si(z, l % mpz_get_si(w));
|
|
else
|
|
{
|
|
/* if w is bigger than a long then the remainder is l unchanged,
|
|
unless l==LONG_MIN and w==-LONG_MIN in which case it's 0 */
|
|
mpz_set_si (z, mpz_cmpabs_ui (w, (l >= 0 ? l : -l)) == 0 ? 0 : l);
|
|
}
|
|
}
|
|
static void eval(mpz_ptr z, mpz_srcptr w, double d)
|
|
{ __GMPXX_TMPZ_D; mpz_tdiv_r (z, w, temp); }
|
|
static void eval(mpz_ptr z, double d, mpz_srcptr w)
|
|
{ __GMPXX_TMPZ_D; mpz_tdiv_r (z, temp, w); }
|
|
};
|
|
|
|
struct __gmp_binary_and
|
|
{
|
|
static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v)
|
|
{ mpz_and(z, w, v); }
|
|
|
|
static void eval(mpz_ptr z, mpz_srcptr w, mpir_ui l)
|
|
{ __GMPXX_TMPZ_UI; mpz_and (z, w, temp); }
|
|
static void eval(mpz_ptr z, mpir_ui l, mpz_srcptr w)
|
|
{ eval(z, w, l); }
|
|
static void eval(mpz_ptr z, mpz_srcptr w, mpir_si l)
|
|
{ __GMPXX_TMPZ_SI; mpz_and (z, w, temp); }
|
|
static void eval(mpz_ptr z, mpir_si l, mpz_srcptr w)
|
|
{ eval(z, w, l); }
|
|
static void eval(mpz_ptr z, mpz_srcptr w, double d)
|
|
{ __GMPXX_TMPZ_D; mpz_and (z, w, temp); }
|
|
static void eval(mpz_ptr z, double d, mpz_srcptr w)
|
|
{ eval(z, w, d); }
|
|
};
|
|
|
|
struct __gmp_binary_ior
|
|
{
|
|
static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v)
|
|
{ mpz_ior(z, w, v); }
|
|
static void eval(mpz_ptr z, mpz_srcptr w, mpir_ui l)
|
|
{ __GMPXX_TMPZ_UI; mpz_ior (z, w, temp); }
|
|
static void eval(mpz_ptr z, mpir_ui l, mpz_srcptr w)
|
|
{ eval(z, w, l); }
|
|
static void eval(mpz_ptr z, mpz_srcptr w, mpir_si l)
|
|
{ __GMPXX_TMPZ_SI; mpz_ior (z, w, temp); }
|
|
static void eval(mpz_ptr z, mpir_si l, mpz_srcptr w)
|
|
{ eval(z, w, l); }
|
|
static void eval(mpz_ptr z, mpz_srcptr w, double d)
|
|
{ __GMPXX_TMPZ_D; mpz_ior (z, w, temp); }
|
|
static void eval(mpz_ptr z, double d, mpz_srcptr w)
|
|
{ eval(z, w, d); }
|
|
};
|
|
|
|
struct __gmp_binary_xor
|
|
{
|
|
static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v)
|
|
{ mpz_xor(z, w, v); }
|
|
static void eval(mpz_ptr z, mpz_srcptr w, mpir_ui l)
|
|
{ __GMPXX_TMPZ_UI; mpz_xor (z, w, temp); }
|
|
static void eval(mpz_ptr z, mpir_ui l, mpz_srcptr w)
|
|
{ eval(z, w, l); }
|
|
static void eval(mpz_ptr z, mpz_srcptr w, mpir_si l)
|
|
{ __GMPXX_TMPZ_SI; mpz_xor (z, w, temp); }
|
|
static void eval(mpz_ptr z, mpir_si l, mpz_srcptr w)
|
|
{ eval(z, w, l); }
|
|
static void eval(mpz_ptr z, mpz_srcptr w, double d)
|
|
{ __GMPXX_TMPZ_D; mpz_xor (z, w, temp); }
|
|
static void eval(mpz_ptr z, double d, mpz_srcptr w)
|
|
{ eval(z, w, d); }
|
|
};
|
|
|
|
struct __gmp_binary_equal
|
|
{
|
|
static bool eval(mpz_srcptr z, mpz_srcptr w) { return mpz_cmp(z, w) == 0; }
|
|
|
|
static bool eval(mpz_srcptr z, mpir_ui l)
|
|
{ return mpz_cmp_ui(z, l) == 0; }
|
|
static bool eval(mpir_ui l, mpz_srcptr z)
|
|
{ return mpz_cmp_ui(z, l) == 0; }
|
|
static bool eval(mpz_srcptr z, mpir_si l)
|
|
{ return mpz_cmp_si(z, l) == 0; }
|
|
static bool eval(mpir_si l, mpz_srcptr z)
|
|
{ return mpz_cmp_si(z, l) == 0; }
|
|
static bool eval(mpz_srcptr z, double d)
|
|
{ return mpz_cmp_d(z, d) == 0; }
|
|
static bool eval(double d, mpz_srcptr z)
|
|
{ return mpz_cmp_d(z, d) == 0; }
|
|
|
|
static bool eval(mpq_srcptr q, mpq_srcptr r)
|
|
{ return mpq_equal(q, r) != 0; }
|
|
|
|
static bool eval(mpq_srcptr q, mpir_ui l)
|
|
{ return mpq_cmp_ui(q, l, 1) == 0; }
|
|
static bool eval(mpir_ui l, mpq_srcptr q)
|
|
{ return mpq_cmp_ui(q, l, 1) == 0; }
|
|
static bool eval(mpq_srcptr q, mpir_si l)
|
|
{ return mpq_cmp_si(q, l, 1) == 0; }
|
|
static bool eval(mpir_si l, mpq_srcptr q)
|
|
{ return mpq_cmp_si(q, l, 1) == 0; }
|
|
static bool eval(mpq_srcptr q, double d)
|
|
{
|
|
bool b;
|
|
mpq_t temp;
|
|
mpq_init(temp);
|
|
mpq_set_d(temp, d);
|
|
b = (mpq_equal(q, temp) != 0);
|
|
mpq_clear(temp);
|
|
return b;
|
|
}
|
|
static bool eval(double d, mpq_srcptr q)
|
|
{
|
|
return eval(q, d);
|
|
}
|
|
|
|
static bool eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g) == 0; }
|
|
|
|
static bool eval(mpf_srcptr f, mpir_ui l)
|
|
{ return mpf_cmp_ui(f, l) == 0; }
|
|
static bool eval(mpir_ui l, mpf_srcptr f)
|
|
{ return mpf_cmp_ui(f, l) == 0; }
|
|
static bool eval(mpf_srcptr f, mpir_si l)
|
|
{ return mpf_cmp_si(f, l) == 0; }
|
|
static bool eval(mpir_si l, mpf_srcptr f)
|
|
{ return mpf_cmp_si(f, l) == 0; }
|
|
static bool eval(mpf_srcptr f, double d)
|
|
{ return mpf_cmp_d(f, d) == 0; }
|
|
static bool eval(double d, mpf_srcptr f)
|
|
{ return mpf_cmp_d(f, d) == 0; }
|
|
};
|
|
|
|
struct __gmp_binary_less
|
|
{
|
|
static bool eval(mpz_srcptr z, mpz_srcptr w) { return mpz_cmp(z, w) < 0; }
|
|
|
|
static bool eval(mpz_srcptr z, mpir_ui l)
|
|
{ return mpz_cmp_ui(z, l) < 0; }
|
|
static bool eval(mpir_ui l, mpz_srcptr z)
|
|
{ return mpz_cmp_ui(z, l) > 0; }
|
|
static bool eval(mpz_srcptr z, mpir_si l)
|
|
{ return mpz_cmp_si(z, l) < 0; }
|
|
static bool eval(mpir_si l, mpz_srcptr z)
|
|
{ return mpz_cmp_si(z, l) > 0; }
|
|
static bool eval(mpz_srcptr z, double d)
|
|
{ return mpz_cmp_d(z, d) < 0; }
|
|
static bool eval(double d, mpz_srcptr z)
|
|
{ return mpz_cmp_d(z, d) > 0; }
|
|
|
|
static bool eval(mpq_srcptr q, mpq_srcptr r) { return mpq_cmp(q, r) < 0; }
|
|
|
|
static bool eval(mpq_srcptr q, mpir_ui l)
|
|
{ return mpq_cmp_ui(q, l, 1) < 0; }
|
|
static bool eval(mpir_ui l, mpq_srcptr q)
|
|
{ return mpq_cmp_ui(q, l, 1) > 0; }
|
|
static bool eval(mpq_srcptr q, mpir_si l)
|
|
{ return mpq_cmp_si(q, l, 1) < 0; }
|
|
static bool eval(mpir_si l, mpq_srcptr q)
|
|
{ return mpq_cmp_si(q, l, 1) > 0; }
|
|
static bool eval(mpq_srcptr q, double d)
|
|
{
|
|
bool b;
|
|
mpq_t temp;
|
|
mpq_init(temp);
|
|
mpq_set_d(temp, d);
|
|
b = (mpq_cmp(q, temp) < 0);
|
|
mpq_clear(temp);
|
|
return b;
|
|
}
|
|
static bool eval(double d, mpq_srcptr q)
|
|
{
|
|
bool b;
|
|
mpq_t temp;
|
|
mpq_init(temp);
|
|
mpq_set_d(temp, d);
|
|
b = (mpq_cmp(temp, q) < 0);
|
|
mpq_clear(temp);
|
|
return b;
|
|
}
|
|
|
|
static bool eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g) < 0; }
|
|
|
|
static bool eval(mpf_srcptr f, mpir_ui l)
|
|
{ return mpf_cmp_ui(f, l) < 0; }
|
|
static bool eval(mpir_ui l, mpf_srcptr f)
|
|
{ return mpf_cmp_ui(f, l) > 0; }
|
|
static bool eval(mpf_srcptr f, mpir_si l)
|
|
{ return mpf_cmp_si(f, l) < 0; }
|
|
static bool eval(mpir_si l, mpf_srcptr f)
|
|
{ return mpf_cmp_si(f, l) > 0; }
|
|
static bool eval(mpf_srcptr f, double d)
|
|
{ return mpf_cmp_d(f, d) < 0; }
|
|
static bool eval(double d, mpf_srcptr f)
|
|
{ return mpf_cmp_d(f, d) > 0; }
|
|
};
|
|
|
|
struct __gmp_binary_greater
|
|
{
|
|
static bool eval(mpz_srcptr z, mpz_srcptr w) { return mpz_cmp(z, w) > 0; }
|
|
|
|
static bool eval(mpz_srcptr z, mpir_ui l)
|
|
{ return mpz_cmp_ui(z, l) > 0; }
|
|
static bool eval(mpir_ui l, mpz_srcptr z)
|
|
{ return mpz_cmp_ui(z, l) < 0; }
|
|
static bool eval(mpz_srcptr z, mpir_si l)
|
|
{ return mpz_cmp_si(z, l) > 0; }
|
|
static bool eval(mpir_si l, mpz_srcptr z)
|
|
{ return mpz_cmp_si(z, l) < 0; }
|
|
static bool eval(mpz_srcptr z, double d)
|
|
{ return mpz_cmp_d(z, d) > 0; }
|
|
static bool eval(double d, mpz_srcptr z)
|
|
{ return mpz_cmp_d(z, d) < 0; }
|
|
|
|
static bool eval(mpq_srcptr q, mpq_srcptr r) { return mpq_cmp(q, r) > 0; }
|
|
|
|
static bool eval(mpq_srcptr q, mpir_ui l)
|
|
{ return mpq_cmp_ui(q, l, 1) > 0; }
|
|
static bool eval(mpir_ui l, mpq_srcptr q)
|
|
{ return mpq_cmp_ui(q, l, 1) < 0; }
|
|
static bool eval(mpq_srcptr q, mpir_si l)
|
|
{ return mpq_cmp_si(q, l, 1) > 0; }
|
|
static bool eval(mpir_si l, mpq_srcptr q)
|
|
{ return mpq_cmp_si(q, l, 1) < 0; }
|
|
static bool eval(mpq_srcptr q, double d)
|
|
{
|
|
bool b;
|
|
mpq_t temp;
|
|
mpq_init(temp);
|
|
mpq_set_d(temp, d);
|
|
b = (mpq_cmp(q, temp) > 0);
|
|
mpq_clear(temp);
|
|
return b;
|
|
}
|
|
static bool eval(double d, mpq_srcptr q)
|
|
{
|
|
bool b;
|
|
mpq_t temp;
|
|
mpq_init(temp);
|
|
mpq_set_d(temp, d);
|
|
b = (mpq_cmp(temp, q) > 0);
|
|
mpq_clear(temp);
|
|
return b;
|
|
}
|
|
|
|
static bool eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g) > 0; }
|
|
|
|
static bool eval(mpf_srcptr f, mpir_ui l)
|
|
{ return mpf_cmp_ui(f, l) > 0; }
|
|
static bool eval(mpir_ui l, mpf_srcptr f)
|
|
{ return mpf_cmp_ui(f, l) < 0; }
|
|
static bool eval(mpf_srcptr f, mpir_si l)
|
|
{ return mpf_cmp_si(f, l) > 0; }
|
|
static bool eval(mpir_si l, mpf_srcptr f)
|
|
{ return mpf_cmp_si(f, l) < 0; }
|
|
static bool eval(mpf_srcptr f, double d)
|
|
{ return mpf_cmp_d(f, d) > 0; }
|
|
static bool eval(double d, mpf_srcptr f)
|
|
{ return mpf_cmp_d(f, d) < 0; }
|
|
};
|
|
|
|
struct __gmp_unary_increment
|
|
{
|
|
static void eval(mpz_ptr z) { mpz_add_ui(z, z, 1); }
|
|
static void eval(mpq_ptr q)
|
|
{ mpz_add(mpq_numref(q), mpq_numref(q), mpq_denref(q)); }
|
|
static void eval(mpf_ptr f) { mpf_add_ui(f, f, 1); }
|
|
};
|
|
|
|
struct __gmp_unary_decrement
|
|
{
|
|
static void eval(mpz_ptr z) { mpz_sub_ui(z, z, 1); }
|
|
static void eval(mpq_ptr q)
|
|
{ mpz_sub(mpq_numref(q), mpq_numref(q), mpq_denref(q)); }
|
|
static void eval(mpf_ptr f) { mpf_sub_ui(f, f, 1); }
|
|
};
|
|
|
|
struct __gmp_abs_function
|
|
{
|
|
static void eval(mpz_ptr z, mpz_srcptr w) { mpz_abs(z, w); }
|
|
static void eval(mpq_ptr q, mpq_srcptr r) { mpq_abs(q, r); }
|
|
static void eval(mpf_ptr f, mpf_srcptr g) { mpf_abs(f, g); }
|
|
};
|
|
|
|
struct __gmp_trunc_function
|
|
{
|
|
static void eval(mpf_ptr f, mpf_srcptr g) { mpf_trunc(f, g); }
|
|
};
|
|
|
|
struct __gmp_floor_function
|
|
{
|
|
static void eval(mpf_ptr f, mpf_srcptr g) { mpf_floor(f, g); }
|
|
};
|
|
|
|
struct __gmp_ceil_function
|
|
{
|
|
static void eval(mpf_ptr f, mpf_srcptr g) { mpf_ceil(f, g); }
|
|
};
|
|
|
|
struct __gmp_sqrt_function
|
|
{
|
|
static void eval(mpz_ptr z, mpz_srcptr w) { mpz_sqrt(z, w); }
|
|
static void eval(mpf_ptr f, mpf_srcptr g) { mpf_sqrt(f, g); }
|
|
};
|
|
|
|
struct __gmp_hypot_function
|
|
{
|
|
static void eval(mpf_ptr f, mpf_srcptr g, mpf_srcptr h)
|
|
{
|
|
mpf_t temp;
|
|
mpf_init2(temp, mpf_get_prec(f));
|
|
mpf_mul(temp, g, g);
|
|
mpf_mul(f, h, h);
|
|
mpf_add(f, f, temp);
|
|
mpf_sqrt(f, f);
|
|
mpf_clear(temp);
|
|
}
|
|
|
|
static void eval(mpf_ptr f, mpf_srcptr g, mpir_ui l)
|
|
{
|
|
mpf_t temp;
|
|
mpf_init2(temp, mpf_get_prec(f));
|
|
mpf_mul(temp, g, g);
|
|
mpf_set_ui(f, l);
|
|
mpf_mul(f, f, f);
|
|
mpf_add(f, f, temp);
|
|
mpf_sqrt(f, f);
|
|
mpf_clear(temp);
|
|
}
|
|
static void eval(mpf_ptr f, mpir_ui l, mpf_srcptr g)
|
|
{ eval(f, g, l); }
|
|
static void eval(mpf_ptr f, mpf_srcptr g, mpir_si l)
|
|
{
|
|
mpf_t temp;
|
|
mpf_init2(temp, mpf_get_prec(f));
|
|
mpf_mul(temp, g, g);
|
|
mpf_set_si(f, l);
|
|
mpf_mul(f, f, f);
|
|
mpf_add(f, f, temp);
|
|
mpf_sqrt(f, f);
|
|
mpf_clear(temp);
|
|
}
|
|
static void eval(mpf_ptr f, mpir_si l, mpf_srcptr g)
|
|
{ eval(f, g, l); }
|
|
static void eval(mpf_ptr f, mpf_srcptr g, double d)
|
|
{
|
|
mpf_t temp;
|
|
mpf_init2(temp, mpf_get_prec(f));
|
|
mpf_mul(temp, g, g);
|
|
mpf_set_d(f, d);
|
|
mpf_mul(f, f, f);
|
|
mpf_add(f, f, temp);
|
|
mpf_sqrt(f, f);
|
|
mpf_clear(temp);
|
|
}
|
|
static void eval(mpf_ptr f, double d, mpf_srcptr g)
|
|
{ eval(f, g, d); }
|
|
};
|
|
|
|
struct __gmp_sgn_function
|
|
{
|
|
static int eval(mpz_srcptr z) { return mpz_sgn(z); }
|
|
static int eval(mpq_srcptr q) { return mpq_sgn(q); }
|
|
static int eval(mpf_srcptr f) { return mpf_sgn(f); }
|
|
};
|
|
|
|
struct __gmp_cmp_function
|
|
{
|
|
static int eval(mpz_srcptr z, mpz_srcptr w) { return mpz_cmp(z, w); }
|
|
|
|
static int eval(mpz_srcptr z, mpir_ui l)
|
|
{ return mpz_cmp_ui(z, l); }
|
|
static int eval(mpir_ui l, mpz_srcptr z)
|
|
{ return -mpz_cmp_ui(z, l); }
|
|
static int eval(mpz_srcptr z, mpir_si l)
|
|
{ return mpz_cmp_si(z, l); }
|
|
static int eval(mpir_si l, mpz_srcptr z)
|
|
{ return -mpz_cmp_si(z, l); }
|
|
static int eval(mpz_srcptr z, double d)
|
|
{ return mpz_cmp_d(z, d); }
|
|
static int eval(double d, mpz_srcptr z)
|
|
{ return -mpz_cmp_d(z, d); }
|
|
|
|
static int eval(mpq_srcptr q, mpq_srcptr r) { return mpq_cmp(q, r); }
|
|
|
|
static int eval(mpq_srcptr q, mpir_ui l)
|
|
{ return mpq_cmp_ui(q, l, 1); }
|
|
static int eval(mpir_ui l, mpq_srcptr q)
|
|
{ return -mpq_cmp_ui(q, l, 1); }
|
|
static int eval(mpq_srcptr q, mpir_si l)
|
|
{ return mpq_cmp_si(q, l, 1); }
|
|
static int eval(mpir_si l, mpq_srcptr q)
|
|
{ return -mpq_cmp_si(q, l, 1); }
|
|
static int eval(mpq_srcptr q, double d)
|
|
{
|
|
int i;
|
|
mpq_t temp;
|
|
mpq_init(temp);
|
|
mpq_set_d(temp, d);
|
|
i = mpq_cmp(q, temp);
|
|
mpq_clear(temp);
|
|
return i;
|
|
}
|
|
static int eval(double d, mpq_srcptr q)
|
|
{
|
|
int i;
|
|
mpq_t temp;
|
|
mpq_init(temp);
|
|
mpq_set_d(temp, d);
|
|
i = mpq_cmp(temp, q);
|
|
mpq_clear(temp);
|
|
return i;
|
|
}
|
|
|
|
static int eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g); }
|
|
|
|
static int eval(mpf_srcptr f, mpir_ui l)
|
|
{ return mpf_cmp_ui(f, l); }
|
|
static int eval(mpir_ui l, mpf_srcptr f)
|
|
{ return -mpf_cmp_ui(f, l); }
|
|
static int eval(mpf_srcptr f, mpir_si l)
|
|
{ return mpf_cmp_si(f, l); }
|
|
static int eval(mpir_si l, mpf_srcptr f)
|
|
{ return -mpf_cmp_si(f, l); }
|
|
static int eval(mpf_srcptr f, double d)
|
|
{ return mpf_cmp_d(f, d); }
|
|
static int eval(double d, mpf_srcptr f)
|
|
{ return -mpf_cmp_d(f, d); }
|
|
};
|
|
|
|
struct __gmp_rand_function
|
|
{
|
|
static void eval(mpz_ptr z, gmp_randstate_t s, mp_bitcnt_t l)
|
|
{ mpz_urandomb(z, s, l); }
|
|
static void eval(mpz_ptr z, gmp_randstate_t s, mpz_srcptr w)
|
|
{ mpz_urandomm(z, s, w); }
|
|
static void eval(mpf_ptr f, gmp_randstate_t s, mp_bitcnt_t prec)
|
|
{ mpf_urandomb(f, s, prec); }
|
|
};
|
|
|
|
|
|
/**************** Auxiliary classes ****************/
|
|
|
|
/* this is much the same as gmp_allocated_string in gmp-impl.h
|
|
since gmp-impl.h is not publicly available, I redefine it here
|
|
I use a different name to avoid possible clashes */
|
|
|
|
extern "C" {
|
|
typedef void (*__gmp_freefunc_t) (void *, size_t);
|
|
}
|
|
struct __gmp_alloc_cstring
|
|
{
|
|
char *str;
|
|
__gmp_alloc_cstring(char *s) { str = s; }
|
|
~__gmp_alloc_cstring()
|
|
{
|
|
__gmp_freefunc_t freefunc;
|
|
mp_get_memory_functions (NULL, NULL, &freefunc);
|
|
(*freefunc) (str, std::strlen(str)+1);
|
|
}
|
|
};
|
|
|
|
|
|
// general expression template class
|
|
template <class T, class U>
|
|
class __gmp_expr;
|
|
|
|
|
|
// templates for resolving expression types
|
|
template <class T>
|
|
struct __gmp_resolve_ref
|
|
{
|
|
typedef T ref_type;
|
|
};
|
|
|
|
template <class T, class U>
|
|
struct __gmp_resolve_ref<__gmp_expr<T, U> >
|
|
{
|
|
typedef const __gmp_expr<T, U> & ref_type;
|
|
};
|
|
|
|
|
|
template <class T, class U = T>
|
|
struct __gmp_resolve_expr;
|
|
|
|
template <>
|
|
struct __gmp_resolve_expr<mpz_t>
|
|
{
|
|
typedef mpz_t value_type;
|
|
typedef mpz_ptr ptr_type;
|
|
typedef mpz_srcptr srcptr_type;
|
|
};
|
|
|
|
template <>
|
|
struct __gmp_resolve_expr<mpq_t>
|
|
{
|
|
typedef mpq_t value_type;
|
|
typedef mpq_ptr ptr_type;
|
|
typedef mpq_srcptr srcptr_type;
|
|
};
|
|
|
|
template <>
|
|
struct __gmp_resolve_expr<mpf_t>
|
|
{
|
|
typedef mpf_t value_type;
|
|
typedef mpf_ptr ptr_type;
|
|
typedef mpf_srcptr srcptr_type;
|
|
};
|
|
|
|
template <>
|
|
struct __gmp_resolve_expr<mpz_t, mpq_t>
|
|
{
|
|
typedef mpq_t value_type;
|
|
};
|
|
|
|
template <>
|
|
struct __gmp_resolve_expr<mpq_t, mpz_t>
|
|
{
|
|
typedef mpq_t value_type;
|
|
};
|
|
|
|
template <>
|
|
struct __gmp_resolve_expr<mpz_t, mpf_t>
|
|
{
|
|
typedef mpf_t value_type;
|
|
};
|
|
|
|
template <>
|
|
struct __gmp_resolve_expr<mpf_t, mpz_t>
|
|
{
|
|
typedef mpf_t value_type;
|
|
};
|
|
|
|
template <>
|
|
struct __gmp_resolve_expr<mpq_t, mpf_t>
|
|
{
|
|
typedef mpf_t value_type;
|
|
};
|
|
|
|
template <>
|
|
struct __gmp_resolve_expr<mpf_t, mpq_t>
|
|
{
|
|
typedef mpf_t value_type;
|
|
};
|
|
|
|
#if __GMPXX_USE_CXX11 || defined( MSC_CXX_11 )
|
|
namespace std {
|
|
template <class T, class U, class V, class W>
|
|
struct common_type <__gmp_expr<T, U>, __gmp_expr<V, W> >
|
|
{
|
|
private:
|
|
typedef typename __gmp_resolve_expr<T, V>::value_type X;
|
|
public:
|
|
typedef __gmp_expr<X, X> type;
|
|
};
|
|
|
|
template <class T, class U>
|
|
struct common_type <__gmp_expr<T, U>, __gmp_expr<T, U> >
|
|
{
|
|
typedef __gmp_expr<T, U> type;
|
|
};
|
|
|
|
#define __GMPXX_DECLARE_COMMON_TYPE(typ) \
|
|
template <class T, class U> \
|
|
struct common_type <__gmp_expr<T, U>, typ > \
|
|
{ \
|
|
typedef __gmp_expr<T, T> type; \
|
|
}; \
|
|
\
|
|
template <class T, class U> \
|
|
struct common_type <typ, __gmp_expr<T, U> > \
|
|
{ \
|
|
typedef __gmp_expr<T, T> type; \
|
|
}
|
|
|
|
__GMPXX_DECLARE_COMMON_TYPE(signed char);
|
|
__GMPXX_DECLARE_COMMON_TYPE(unsigned char);
|
|
__GMPXX_DECLARE_COMMON_TYPE(signed int);
|
|
__GMPXX_DECLARE_COMMON_TYPE(unsigned int);
|
|
__GMPXX_DECLARE_COMMON_TYPE(signed short int);
|
|
__GMPXX_DECLARE_COMMON_TYPE(unsigned short int);
|
|
__GMPXX_DECLARE_COMMON_TYPE(signed long int);
|
|
__GMPXX_DECLARE_COMMON_TYPE(unsigned long int);
|
|
__GMPXX_DECLARE_COMMON_TYPE(float);
|
|
__GMPXX_DECLARE_COMMON_TYPE(double);
|
|
#undef __GMPXX_DECLARE_COMMON_TYPE
|
|
}
|
|
#endif
|
|
|
|
// classes for evaluating unary and binary expressions
|
|
template <class T, class Op>
|
|
struct __gmp_unary_expr
|
|
{
|
|
const T &val;
|
|
|
|
__gmp_unary_expr(const T &v) : val(v) { }
|
|
private:
|
|
__gmp_unary_expr();
|
|
};
|
|
|
|
template <class T, class U, class Op>
|
|
struct __gmp_binary_expr
|
|
{
|
|
typename __gmp_resolve_ref<T>::ref_type val1;
|
|
typename __gmp_resolve_ref<U>::ref_type val2;
|
|
|
|
__gmp_binary_expr(const T &v1, const U &v2) : val1(v1), val2(v2) { }
|
|
private:
|
|
__gmp_binary_expr();
|
|
};
|
|
|
|
|
|
|
|
/**************** Macros for in-class declarations ****************/
|
|
/* This is just repetitive code that is easier to maintain if it's written
|
|
only once */
|
|
|
|
#define __GMPP_DECLARE_COMPOUND_OPERATOR(fun) \
|
|
template <class T, class U> \
|
|
__gmp_expr<value_type, value_type> & fun(const __gmp_expr<T, U> &);
|
|
#ifdef MPIRXX_HAVE_LLONG
|
|
#define __GMPN_DECLARE_COMPOUND_OPERATOR(fun) \
|
|
__gmp_expr & fun(signed char); \
|
|
__gmp_expr & fun(unsigned char); \
|
|
__gmp_expr & fun(signed int); \
|
|
__gmp_expr & fun(unsigned int); \
|
|
__gmp_expr & fun(signed short int); \
|
|
__gmp_expr & fun(unsigned short int); \
|
|
__gmp_expr & fun(signed long int); \
|
|
__gmp_expr & fun(unsigned long int); \
|
|
__gmp_expr & fun(signed long long int); \
|
|
__gmp_expr & fun(unsigned long long int); \
|
|
__gmp_expr & fun(float); \
|
|
__gmp_expr & fun(double); \
|
|
__gmp_expr & fun(long double);
|
|
#else
|
|
#define __GMPN_DECLARE_COMPOUND_OPERATOR(fun) \
|
|
__gmp_expr & fun(signed char); \
|
|
__gmp_expr & fun(unsigned char); \
|
|
__gmp_expr & fun(signed int); \
|
|
__gmp_expr & fun(unsigned int); \
|
|
__gmp_expr & fun(signed short int); \
|
|
__gmp_expr & fun(unsigned short int); \
|
|
__gmp_expr & fun(signed long int); \
|
|
__gmp_expr & fun(unsigned long int); \
|
|
__gmp_expr & fun(float); \
|
|
__gmp_expr & fun(double); \
|
|
__gmp_expr & fun(long double);
|
|
#endif
|
|
|
|
#define __GMP_DECLARE_COMPOUND_OPERATOR(fun) \
|
|
__GMPP_DECLARE_COMPOUND_OPERATOR(fun) \
|
|
__GMPN_DECLARE_COMPOUND_OPERATOR(fun)
|
|
|
|
#define __GMP_DECLARE_COMPOUND_OPERATOR_UI(fun) \
|
|
__gmp_expr & fun(mp_bitcnt_t);
|
|
|
|
#define __GMP_DECLARE_INCREMENT_OPERATOR(fun) \
|
|
inline __gmp_expr & fun(); \
|
|
inline __gmp_expr fun(int);
|
|
|
|
|
|
/**************** mpz_class -- wrapper for mpz_t ****************/
|
|
|
|
template <>
|
|
class __gmp_expr<mpz_t, mpz_t>
|
|
{
|
|
private:
|
|
typedef mpz_t value_type;
|
|
value_type mp;
|
|
public:
|
|
mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); }
|
|
|
|
// constructors and destructor
|
|
__gmp_expr() { mpz_init(mp); }
|
|
|
|
__gmp_expr(const __gmp_expr &z) { mpz_init_set(mp, z.mp); }
|
|
#if __GMPXX_USE_CXX11 || defined( MSC_CXX_11 )
|
|
__gmp_expr(__gmp_expr &&z)
|
|
{ *mp = *z.mp; mpz_init(z.mp); }
|
|
#endif
|
|
template <class T>
|
|
__gmp_expr(const __gmp_expr<mpz_t, T> &expr)
|
|
{ mpz_init(mp); __gmp_set_expr(mp, expr); }
|
|
template <class T, class U>
|
|
explicit __gmp_expr(const __gmp_expr<T, U> &expr)
|
|
{ mpz_init(mp); __gmp_set_expr(mp, expr); }
|
|
|
|
__gmp_expr(signed char c) { mpz_init_set_si(mp, c); }
|
|
__gmp_expr(unsigned char c) { mpz_init_set_ui(mp, c); }
|
|
|
|
__gmp_expr(signed int i) { mpz_init_set_si(mp, i); }
|
|
__gmp_expr(unsigned int i) { mpz_init_set_ui(mp, i); }
|
|
|
|
__gmp_expr(signed short int s) { mpz_init_set_si(mp, s); }
|
|
__gmp_expr(unsigned short int s) { mpz_init_set_ui(mp, s); }
|
|
|
|
__gmp_expr(signed long int l) { mpz_init_set_si(mp, l); }
|
|
__gmp_expr(unsigned long int l) { mpz_init_set_ui(mp, l); }
|
|
|
|
#ifdef MPIRXX_HAVE_LLONG
|
|
__gmp_expr(signed long long int l) { mpz_init_set_si(mp, l); }
|
|
__gmp_expr(unsigned long long int l) { mpz_init_set_ui(mp, l); }
|
|
#endif
|
|
|
|
#ifdef MPIRXX_INTMAX_T
|
|
__gmp_expr(intmax_t l) { mpz_init_set_sx(mp, l); }
|
|
#endif
|
|
|
|
#ifdef MPIRXX_UINTMAX_T
|
|
__gmp_expr(uintmax_t l) { mpz_init_set_ux(mp, l); }
|
|
#endif
|
|
|
|
__gmp_expr(float f) { mpz_init_set_d(mp, f); }
|
|
__gmp_expr(double d) { mpz_init_set_d(mp, d); }
|
|
// __gmp_expr(long double ld) { mpz_init_set_d(mp, ld); }
|
|
|
|
explicit __gmp_expr(const char *s, int base = 0)
|
|
{
|
|
if (mpz_init_set_str (mp, s, base) != 0)
|
|
{
|
|
mpz_clear (mp);
|
|
throw std::invalid_argument ("mpz_set_str");
|
|
}
|
|
}
|
|
explicit __gmp_expr(const std::string &s, int base = 0)
|
|
{
|
|
if (mpz_init_set_str(mp, s.c_str(), base) != 0)
|
|
{
|
|
mpz_clear (mp);
|
|
throw std::invalid_argument ("mpz_set_str");
|
|
}
|
|
}
|
|
|
|
explicit __gmp_expr(mpz_srcptr z) { mpz_init_set(mp, z); }
|
|
|
|
~__gmp_expr() { mpz_clear(mp); }
|
|
|
|
void swap(__gmp_expr& z) __GMPXX_NOEXCEPT { std::swap(*mp, *z.mp); }
|
|
|
|
// assignment operators
|
|
__gmp_expr & operator=(const __gmp_expr &z)
|
|
{ mpz_set(mp, z.mp); return *this; }
|
|
#if __GMPXX_USE_CXX11 || defined( MSC_CXX_11 )
|
|
__gmp_expr & operator=(__gmp_expr &&z) __GMPXX_NOEXCEPT
|
|
{ swap(z); return *this; }
|
|
#endif
|
|
template <class T, class U>
|
|
__gmp_expr<value_type, value_type> & operator=(const __gmp_expr<T, U> &expr)
|
|
{ __gmp_set_expr(mp, expr); return *this; }
|
|
|
|
__gmp_expr & operator=(signed char c) { mpz_set_si(mp, c); return *this; }
|
|
__gmp_expr & operator=(unsigned char c) { mpz_set_ui(mp, c); return *this; }
|
|
|
|
__gmp_expr & operator=(signed int i) { mpz_set_si(mp, i); return *this; }
|
|
__gmp_expr & operator=(unsigned int i) { mpz_set_ui(mp, i); return *this; }
|
|
|
|
__gmp_expr & operator=(signed short int s)
|
|
{ mpz_set_si(mp, s); return *this; }
|
|
__gmp_expr & operator=(unsigned short int s)
|
|
{ mpz_set_ui(mp, s); return *this; }
|
|
|
|
__gmp_expr & operator=(signed long int l)
|
|
{ mpz_set_si(mp, l); return *this; }
|
|
__gmp_expr & operator=(unsigned long int l)
|
|
{ mpz_set_ui(mp, l); return *this; }
|
|
|
|
#ifdef MPIRXX_HAVE_LLONG
|
|
__gmp_expr & operator=(signed long long int i) { mpz_set_si(mp, i); return *this; }
|
|
__gmp_expr & operator=(unsigned long long int i) { mpz_set_ui(mp, i); return *this; }
|
|
#endif
|
|
|
|
#ifdef MPIRXX_INTMAX_T
|
|
__gmp_expr & operator=(intmax_t i) { mpz_set_sx(mp, i); return *this; }
|
|
#endif
|
|
|
|
#ifdef MPIRXX_UINTMAX_T
|
|
__gmp_expr & operator=(uintmax_t i) { mpz_set_ux(mp, i); return *this; }
|
|
#endif
|
|
|
|
__gmp_expr & operator=(float f) { mpz_set_d(mp, f); return *this; }
|
|
__gmp_expr & operator=(double d) { mpz_set_d(mp, d); return *this; }
|
|
// __gmp_expr & operator=(long double ld)
|
|
// { mpz_set_ld(mp, ld); return *this; }
|
|
|
|
__gmp_expr & operator=(const char *s)
|
|
{
|
|
if (mpz_set_str (mp, s, 0) != 0)
|
|
throw std::invalid_argument ("mpz_set_str");
|
|
return *this;
|
|
}
|
|
__gmp_expr & operator=(const std::string &s)
|
|
{
|
|
if (mpz_set_str(mp, s.c_str(), 0) != 0)
|
|
throw std::invalid_argument ("mpz_set_str");
|
|
return *this;
|
|
}
|
|
|
|
// string input/output functions
|
|
int set_str(const char *s, int base)
|
|
{ return mpz_set_str(mp, s, base); }
|
|
int set_str(const std::string &s, int base)
|
|
{ return mpz_set_str(mp, s.c_str(), base); }
|
|
std::string get_str(int base = 10) const
|
|
{
|
|
__gmp_alloc_cstring temp(mpz_get_str(0, base, mp));
|
|
return std::string(temp.str);
|
|
}
|
|
|
|
// conversion functions
|
|
mpz_srcptr __get_mp() const { return mp; }
|
|
mpz_ptr __get_mp() { return mp; }
|
|
mpz_srcptr get_mpz_t() const { return mp; }
|
|
mpz_ptr get_mpz_t() { return mp; }
|
|
|
|
mpir_si get_si() const { return mpz_get_si(mp); }
|
|
mpir_ui get_ui() const { return mpz_get_ui(mp); }
|
|
|
|
#ifdef MPIRXX_INTMAX_T
|
|
intmax_t get_sx() const { return mpz_get_sx(mp); }
|
|
#endif
|
|
#ifdef MPIRXX_UINTMAX_T
|
|
uintmax_t get_ux() const { return mpz_get_ux(mp); }
|
|
#endif
|
|
|
|
double get_d() const { return mpz_get_d(mp); }
|
|
|
|
// bool fits_schar_p() const { return mpz_fits_schar_p(mp); }
|
|
// bool fits_uchar_p() const { return mpz_fits_uchar_p(mp); }
|
|
bool fits_sint_p() const { return mpz_fits_sint_p(mp); }
|
|
bool fits_uint_p() const { return mpz_fits_uint_p(mp); }
|
|
bool fits_si_p() const { return mpz_fits_si_p(mp); }
|
|
bool fits_ui_p() const { return mpz_fits_ui_p(mp); }
|
|
bool fits_sshort_p() const { return mpz_fits_sshort_p(mp); }
|
|
bool fits_ushort_p() const { return mpz_fits_ushort_p(mp); }
|
|
bool fits_slong_p() const { return mpz_fits_slong_p(mp); }
|
|
bool fits_ulong_p() const { return mpz_fits_ulong_p(mp); }
|
|
// bool fits_float_p() const { return mpz_fits_float_p(mp); }
|
|
// bool fits_double_p() const { return mpz_fits_double_p(mp); }
|
|
// bool fits_ldouble_p() const { return mpz_fits_ldouble_p(mp); }
|
|
|
|
#if __GMPXX_USE_CXX11
|
|
explicit operator bool() const { return mp->_mp_size != 0; }
|
|
#endif
|
|
|
|
// member operators
|
|
__GMP_DECLARE_COMPOUND_OPERATOR(operator+=)
|
|
__GMP_DECLARE_COMPOUND_OPERATOR(operator-=)
|
|
__GMP_DECLARE_COMPOUND_OPERATOR(operator*=)
|
|
__GMP_DECLARE_COMPOUND_OPERATOR(operator/=)
|
|
__GMP_DECLARE_COMPOUND_OPERATOR(operator%=)
|
|
|
|
__GMP_DECLARE_COMPOUND_OPERATOR(operator&=)
|
|
__GMP_DECLARE_COMPOUND_OPERATOR(operator|=)
|
|
__GMP_DECLARE_COMPOUND_OPERATOR(operator^=)
|
|
|
|
__GMP_DECLARE_COMPOUND_OPERATOR_UI(operator<<=)
|
|
__GMP_DECLARE_COMPOUND_OPERATOR_UI(operator>>=)
|
|
|
|
__GMP_DECLARE_INCREMENT_OPERATOR(operator++)
|
|
__GMP_DECLARE_INCREMENT_OPERATOR(operator--)
|
|
};
|
|
|
|
typedef __gmp_expr<mpz_t, mpz_t> mpz_class;
|
|
|
|
|
|
/**************** mpq_class -- wrapper for mpq_t ****************/
|
|
|
|
template <>
|
|
class __gmp_expr<mpq_t, mpq_t>
|
|
{
|
|
private:
|
|
typedef mpq_t value_type;
|
|
value_type mp;
|
|
public:
|
|
mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); }
|
|
void canonicalize() { mpq_canonicalize(mp); }
|
|
|
|
// constructors and destructor
|
|
__gmp_expr() { mpq_init(mp); }
|
|
|
|
__gmp_expr(const __gmp_expr &q)
|
|
{
|
|
mpz_init_set(mpq_numref(mp), mpq_numref(q.mp));
|
|
mpz_init_set(mpq_denref(mp), mpq_denref(q.mp));
|
|
}
|
|
#if __GMPXX_USE_CXX11 || defined( MSC_CXX_11 )
|
|
__gmp_expr(__gmp_expr &&q)
|
|
{ *mp = *q.mp; mpq_init(q.mp); }
|
|
#endif
|
|
template <class T>
|
|
__gmp_expr(const __gmp_expr<mpz_t, T> &expr)
|
|
{ mpq_init(mp); __gmp_set_expr(mp, expr); }
|
|
template <class T>
|
|
__gmp_expr(const __gmp_expr<mpq_t, T> &expr)
|
|
{ mpq_init(mp); __gmp_set_expr(mp, expr); }
|
|
template <class T, class U>
|
|
explicit __gmp_expr(const __gmp_expr<T, U> &expr)
|
|
{ mpq_init(mp); __gmp_set_expr(mp, expr); }
|
|
|
|
__gmp_expr(signed char c) { mpq_init(mp); mpq_set_si(mp, c, 1); }
|
|
__gmp_expr(unsigned char c) { mpq_init(mp); mpq_set_ui(mp, c, 1); }
|
|
|
|
__gmp_expr(signed int i) { mpq_init(mp); mpq_set_si(mp, i, 1); }
|
|
__gmp_expr(unsigned int i) { mpq_init(mp); mpq_set_ui(mp, i, 1); }
|
|
|
|
__gmp_expr(signed short int s) { mpq_init(mp); mpq_set_si(mp, s, 1); }
|
|
__gmp_expr(unsigned short int s) { mpq_init(mp); mpq_set_ui(mp, s, 1); }
|
|
|
|
__gmp_expr(signed long int l) { mpq_init(mp); mpq_set_si(mp, l, 1); }
|
|
__gmp_expr(unsigned long int l) { mpq_init(mp); mpq_set_ui(mp, l, 1); }
|
|
|
|
#ifdef MPIRXX_HAVE_LLONG
|
|
__gmp_expr(signed long long int l) { mpq_init(mp); mpq_set_si(mp, l, 1); }
|
|
__gmp_expr(unsigned long long int l) { mpq_init(mp); mpq_set_ui(mp, l, 1); }
|
|
#endif
|
|
|
|
__gmp_expr(float f) { mpq_init(mp); mpq_set_d(mp, f); }
|
|
__gmp_expr(double d) { mpq_init(mp); mpq_set_d(mp, d); }
|
|
// __gmp_expr(long double ld) { mpq_init(mp); mpq_set_ld(mp, ld); }
|
|
|
|
explicit __gmp_expr(const char *s, int base = 0)
|
|
{
|
|
mpq_init (mp);
|
|
// If s is the literal 0, we meant to call another constructor.
|
|
// If s just happens to evaluate to 0, we would crash, so whatever.
|
|
if (s == 0)
|
|
{
|
|
// Don't turn mpq_class(0,0) into 0
|
|
mpz_set_si(mpq_denref(mp), base);
|
|
}
|
|
else if (mpq_set_str(mp, s, base) != 0)
|
|
{
|
|
mpq_clear (mp);
|
|
throw std::invalid_argument ("mpq_set_str");
|
|
}
|
|
}
|
|
explicit __gmp_expr(const std::string &s, int base = 0)
|
|
{
|
|
mpq_init(mp);
|
|
if (mpq_set_str (mp, s.c_str(), base) != 0)
|
|
{
|
|
mpq_clear (mp);
|
|
throw std::invalid_argument ("mpq_set_str");
|
|
}
|
|
}
|
|
explicit __gmp_expr(mpq_srcptr q)
|
|
{
|
|
mpz_init_set(mpq_numref(mp), mpq_numref(q));
|
|
mpz_init_set(mpq_denref(mp), mpq_denref(q));
|
|
}
|
|
|
|
__gmp_expr(const mpz_class &num, const mpz_class &den)
|
|
{
|
|
mpz_init_set(mpq_numref(mp), num.get_mpz_t());
|
|
mpz_init_set(mpq_denref(mp), den.get_mpz_t());
|
|
}
|
|
|
|
~__gmp_expr() { mpq_clear(mp); }
|
|
|
|
void swap(__gmp_expr& q) __GMPXX_NOEXCEPT { std::swap(*mp, *q.mp); }
|
|
|
|
// assignment operators
|
|
__gmp_expr & operator=(const __gmp_expr &q)
|
|
{ mpq_set(mp, q.mp); return *this; }
|
|
#if __GMPXX_USE_CXX11 || defined( MSC_CXX_11 )
|
|
__gmp_expr & operator=(__gmp_expr &&q) __GMPXX_NOEXCEPT
|
|
{ swap(q); return *this; }
|
|
__gmp_expr & operator=(mpz_class &&z)__GMPXX_NOEXCEPT
|
|
{ get_num() = std::move(z); get_den() = 1u; return *this; }
|
|
#endif
|
|
template <class T, class U>
|
|
__gmp_expr<value_type, value_type> & operator=(const __gmp_expr<T, U> &expr)
|
|
{ __gmp_set_expr(mp, expr); return *this; }
|
|
|
|
__gmp_expr & operator=(signed char c)
|
|
{ mpq_set_si(mp, c, 1); return *this; }
|
|
__gmp_expr & operator=(unsigned char c)
|
|
{ mpq_set_ui(mp, c, 1); return *this; }
|
|
|
|
__gmp_expr & operator=(signed int i) { mpq_set_si(mp, i, 1); return *this; }
|
|
__gmp_expr & operator=(unsigned int i)
|
|
{ mpq_set_ui(mp, i, 1); return *this; }
|
|
|
|
__gmp_expr & operator=(signed short int s)
|
|
{ mpq_set_si(mp, s, 1); return *this; }
|
|
__gmp_expr & operator=(unsigned short int s)
|
|
{ mpq_set_ui(mp, s, 1); return *this; }
|
|
|
|
__gmp_expr & operator=(signed long int l)
|
|
{ mpq_set_si(mp, l, 1); return *this; }
|
|
__gmp_expr & operator=(unsigned long int l)
|
|
{ mpq_set_ui(mp, l, 1); return *this; }
|
|
|
|
#ifdef MPIRXX_HAVE_LLONG
|
|
__gmp_expr & operator=(signed long long int l)
|
|
{ mpq_set_si(mp, l, 1); return *this; }
|
|
__gmp_expr & operator=(unsigned long long int l)
|
|
{ mpq_set_ui(mp, l, 1); return *this; }
|
|
#endif
|
|
|
|
__gmp_expr & operator=(float f) { mpq_set_d(mp, f); return *this; }
|
|
__gmp_expr & operator=(double d) { mpq_set_d(mp, d); return *this; }
|
|
// __gmp_expr & operator=(long double ld)
|
|
// { mpq_set_ld(mp, ld); return *this; }
|
|
|
|
__gmp_expr & operator=(const char *s)
|
|
{
|
|
if (mpq_set_str (mp, s, 0) != 0)
|
|
throw std::invalid_argument ("mpq_set_str");
|
|
return *this;
|
|
}
|
|
__gmp_expr & operator=(const std::string &s)
|
|
{
|
|
if (mpq_set_str(mp, s.c_str(), 0) != 0)
|
|
throw std::invalid_argument ("mpq_set_str");
|
|
return *this;
|
|
}
|
|
|
|
// string input/output functions
|
|
int set_str(const char *s, int base)
|
|
{ return mpq_set_str(mp, s, base); }
|
|
int set_str(const std::string &s, int base)
|
|
{ return mpq_set_str(mp, s.c_str(), base); }
|
|
std::string get_str(int base = 10) const
|
|
{
|
|
__gmp_alloc_cstring temp(mpq_get_str(0, base, mp));
|
|
return std::string(temp.str);
|
|
}
|
|
|
|
// conversion functions
|
|
|
|
// casting a reference to an mpz_t to mpz_class & is a dirty hack,
|
|
// but works because the internal representation of mpz_class is
|
|
// exactly an mpz_t
|
|
const mpz_class & get_num() const
|
|
{ return reinterpret_cast<const mpz_class &>(*mpq_numref(mp)); }
|
|
mpz_class & get_num()
|
|
{ return reinterpret_cast<mpz_class &>(*mpq_numref(mp)); }
|
|
const mpz_class & get_den() const
|
|
{ return reinterpret_cast<const mpz_class &>(*mpq_denref(mp)); }
|
|
mpz_class & get_den()
|
|
{ return reinterpret_cast<mpz_class &>(*mpq_denref(mp)); }
|
|
|
|
mpq_srcptr __get_mp() const { return mp; }
|
|
mpq_ptr __get_mp() { return mp; }
|
|
mpq_srcptr get_mpq_t() const { return mp; }
|
|
mpq_ptr get_mpq_t() { return mp; }
|
|
|
|
mpz_srcptr get_num_mpz_t() const { return mpq_numref(mp); }
|
|
mpz_ptr get_num_mpz_t() { return mpq_numref(mp); }
|
|
mpz_srcptr get_den_mpz_t() const { return mpq_denref(mp); }
|
|
mpz_ptr get_den_mpz_t() { return mpq_denref(mp); }
|
|
|
|
double get_d() const { return mpq_get_d(mp); }
|
|
|
|
#if __GMPXX_USE_CXX11
|
|
explicit operator bool() const { return mpq_numref(mp)->_mp_size != 0; }
|
|
#endif
|
|
|
|
// compound assignments
|
|
__GMP_DECLARE_COMPOUND_OPERATOR(operator+=)
|
|
__GMP_DECLARE_COMPOUND_OPERATOR(operator-=)
|
|
__GMP_DECLARE_COMPOUND_OPERATOR(operator*=)
|
|
__GMP_DECLARE_COMPOUND_OPERATOR(operator/=)
|
|
|
|
__GMP_DECLARE_COMPOUND_OPERATOR_UI(operator<<=)
|
|
__GMP_DECLARE_COMPOUND_OPERATOR_UI(operator>>=)
|
|
|
|
__GMP_DECLARE_INCREMENT_OPERATOR(operator++)
|
|
__GMP_DECLARE_INCREMENT_OPERATOR(operator--)
|
|
};
|
|
|
|
typedef __gmp_expr<mpq_t, mpq_t> mpq_class;
|
|
|
|
|
|
/**************** mpf_class -- wrapper for mpf_t ****************/
|
|
|
|
template <>
|
|
class __gmp_expr<mpf_t, mpf_t>
|
|
{
|
|
private:
|
|
typedef mpf_t value_type;
|
|
value_type mp;
|
|
public:
|
|
mp_bitcnt_t get_prec() const { return mpf_get_prec(mp); }
|
|
|
|
void set_prec(mp_bitcnt_t prec) { mpf_set_prec(mp, prec); }
|
|
void set_prec_raw(mp_bitcnt_t prec) { mpf_set_prec_raw(mp, prec); }
|
|
|
|
// constructors and destructor
|
|
__gmp_expr() { mpf_init(mp); }
|
|
|
|
__gmp_expr(const __gmp_expr &f)
|
|
{ mpf_init2(mp, f.get_prec()); mpf_set(mp, f.mp); }
|
|
#if __GMPXX_USE_CXX11 || defined( MSC_CXX_11 )
|
|
__gmp_expr(__gmp_expr &&f)
|
|
{ *mp = *f.mp; mpf_init2(f.mp, get_prec()); }
|
|
#endif
|
|
__gmp_expr(const __gmp_expr &f, mp_bitcnt_t prec)
|
|
{ mpf_init2(mp, prec); mpf_set(mp, f.mp); }
|
|
template <class T, class U>
|
|
__gmp_expr(const __gmp_expr<T, U> &expr)
|
|
{ mpf_init2(mp, expr.get_prec()); __gmp_set_expr(mp, expr); }
|
|
template <class T, class U>
|
|
__gmp_expr(const __gmp_expr<T, U> &expr, mp_bitcnt_t prec)
|
|
{ mpf_init2(mp, prec); __gmp_set_expr(mp, expr); }
|
|
|
|
__gmp_expr(signed char c) { mpf_init_set_si(mp, c); }
|
|
__gmp_expr(signed char c, mp_bitcnt_t prec)
|
|
{ mpf_init2(mp, prec); mpf_set_si(mp, c); }
|
|
__gmp_expr(unsigned char c) { mpf_init_set_ui(mp, c); }
|
|
__gmp_expr(unsigned char c, mp_bitcnt_t prec)
|
|
{ mpf_init2(mp, prec); mpf_set_ui(mp, c); }
|
|
|
|
__gmp_expr(signed int i) { mpf_init_set_si(mp, i); }
|
|
__gmp_expr(signed int i, mp_bitcnt_t prec)
|
|
{ mpf_init2(mp, prec); mpf_set_si(mp, i); }
|
|
__gmp_expr(unsigned int i) { mpf_init_set_ui(mp, i); }
|
|
__gmp_expr(unsigned int i, mp_bitcnt_t prec)
|
|
{ mpf_init2(mp, prec); mpf_set_ui(mp, i); }
|
|
|
|
__gmp_expr(signed short int s) { mpf_init_set_si(mp, s); }
|
|
__gmp_expr(signed short int s, mp_bitcnt_t prec)
|
|
{ mpf_init2(mp, prec); mpf_set_si(mp, s); }
|
|
__gmp_expr(unsigned short int s) { mpf_init_set_ui(mp, s); }
|
|
__gmp_expr(unsigned short int s, mp_bitcnt_t prec)
|
|
{ mpf_init2(mp, prec); mpf_set_ui(mp, s); }
|
|
|
|
__gmp_expr(signed long int l) { mpf_init_set_si(mp, l); }
|
|
__gmp_expr(signed long int l, mp_bitcnt_t prec)
|
|
{ mpf_init2(mp, prec); mpf_set_si(mp, l); }
|
|
__gmp_expr(unsigned long int l) { mpf_init_set_ui(mp, l); }
|
|
__gmp_expr(unsigned long int l, mp_bitcnt_t prec)
|
|
{ mpf_init2(mp, prec); mpf_set_ui(mp, l); }
|
|
#ifdef MPIRXX_HAVE_LLONG
|
|
__gmp_expr(signed long long int s) { mpf_init_set_si(mp, s); }
|
|
__gmp_expr(signed long long int s, mp_bitcnt_t prec)
|
|
{ mpf_init2(mp, prec); mpf_set_si(mp, s); }
|
|
__gmp_expr(unsigned long long int s) { mpf_init_set_ui(mp, s); }
|
|
__gmp_expr(unsigned long long int s, mp_bitcnt_t prec)
|
|
{ mpf_init2(mp, prec); mpf_set_ui(mp, s); }
|
|
#endif
|
|
|
|
__gmp_expr(float f) { mpf_init_set_d(mp, f); }
|
|
__gmp_expr(float f, mp_bitcnt_t prec)
|
|
{ mpf_init2(mp, prec); mpf_set_d(mp, f); }
|
|
__gmp_expr(double d) { mpf_init_set_d(mp, d); }
|
|
__gmp_expr(double d, mp_bitcnt_t prec)
|
|
{ mpf_init2(mp, prec); mpf_set_d(mp, d); }
|
|
// __gmp_expr(long double ld) { mpf_init_set_d(mp, ld); }
|
|
// __gmp_expr(long double ld, mp_bitcnt_t prec)
|
|
// { mpf_init2(mp, prec); mpf_set_d(mp, ld); }
|
|
|
|
explicit __gmp_expr(const char *s)
|
|
{
|
|
if (mpf_init_set_str (mp, s, 0) != 0)
|
|
{
|
|
mpf_clear (mp);
|
|
throw std::invalid_argument ("mpf_set_str");
|
|
}
|
|
}
|
|
__gmp_expr(const char *s, mp_bitcnt_t prec, int base = 0)
|
|
{
|
|
mpf_init2(mp, prec);
|
|
if (mpf_set_str(mp, s, base) != 0)
|
|
{
|
|
mpf_clear (mp);
|
|
throw std::invalid_argument ("mpf_set_str");
|
|
}
|
|
}
|
|
explicit __gmp_expr(const std::string &s)
|
|
{
|
|
if (mpf_init_set_str(mp, s.c_str(), 0) != 0)
|
|
{
|
|
mpf_clear (mp);
|
|
throw std::invalid_argument ("mpf_set_str");
|
|
}
|
|
}
|
|
__gmp_expr(const std::string &s, mp_bitcnt_t prec, int base = 0)
|
|
{
|
|
mpf_init2(mp, prec);
|
|
if (mpf_set_str(mp, s.c_str(), base) != 0)
|
|
{
|
|
mpf_clear (mp);
|
|
throw std::invalid_argument ("mpf_set_str");
|
|
}
|
|
}
|
|
|
|
explicit __gmp_expr(mpf_srcptr f)
|
|
{ mpf_init2(mp, mpf_get_prec(f)); mpf_set(mp, f); }
|
|
__gmp_expr(mpf_srcptr f, mp_bitcnt_t prec)
|
|
{ mpf_init2(mp, prec); mpf_set(mp, f); }
|
|
|
|
~__gmp_expr() { mpf_clear(mp); }
|
|
|
|
void swap(__gmp_expr& f) __GMPXX_NOEXCEPT { std::swap(*mp, *f.mp); }
|
|
|
|
// assignment operators
|
|
__gmp_expr & operator=(const __gmp_expr &f)
|
|
{ mpf_set(mp, f.mp); return *this; }
|
|
#if __GMPXX_USE_CXX11 || defined( MSC_CXX_11 )
|
|
__gmp_expr & operator=(__gmp_expr &&f) __GMPXX_NOEXCEPT
|
|
{ swap(f); return *this; }
|
|
#endif
|
|
template <class T, class U>
|
|
__gmp_expr<value_type, value_type> & operator=(const __gmp_expr<T, U> &expr)
|
|
{ __gmp_set_expr(mp, expr); return *this; }
|
|
|
|
__gmp_expr & operator=(signed char c) { mpf_set_si(mp, c); return *this; }
|
|
__gmp_expr & operator=(unsigned char c) { mpf_set_ui(mp, c); return *this; }
|
|
|
|
__gmp_expr & operator=(signed int i) { mpf_set_si(mp, i); return *this; }
|
|
__gmp_expr & operator=(unsigned int i) { mpf_set_ui(mp, i); return *this; }
|
|
|
|
__gmp_expr & operator=(signed short int s)
|
|
{ mpf_set_si(mp, s); return *this; }
|
|
__gmp_expr & operator=(unsigned short int s)
|
|
{ mpf_set_ui(mp, s); return *this; }
|
|
|
|
__gmp_expr & operator=(signed long int l)
|
|
{ mpf_set_si(mp, l); return *this; }
|
|
__gmp_expr & operator=(unsigned long int l)
|
|
{ mpf_set_ui(mp, l); return *this; }
|
|
|
|
#ifdef MPIRXX_HAVE_LLONG
|
|
__gmp_expr & operator=(signed long long int l)
|
|
{ mpf_set_si(mp, l); return *this; }
|
|
__gmp_expr & operator=(unsigned long long int l)
|
|
{ mpf_set_ui(mp, l); return *this; }
|
|
#endif
|
|
|
|
__gmp_expr & operator=(float f) { mpf_set_d(mp, f); return *this; }
|
|
__gmp_expr & operator=(double d) { mpf_set_d(mp, d); return *this; }
|
|
// __gmp_expr & operator=(long double ld)
|
|
// { mpf_set_ld(mp, ld); return *this; }
|
|
|
|
__gmp_expr & operator=(const char *s)
|
|
{
|
|
if (mpf_set_str (mp, s, 0) != 0)
|
|
throw std::invalid_argument ("mpf_set_str");
|
|
return *this;
|
|
}
|
|
__gmp_expr & operator=(const std::string &s)
|
|
{
|
|
if (mpf_set_str(mp, s.c_str(), 0) != 0)
|
|
throw std::invalid_argument ("mpf_set_str");
|
|
return *this;
|
|
}
|
|
|
|
// string input/output functions
|
|
int set_str(const char *s, int base)
|
|
{ return mpf_set_str(mp, s, base); }
|
|
int set_str(const std::string &s, int base)
|
|
{ return mpf_set_str(mp, s.c_str(), base); }
|
|
std::string get_str(mp_exp_t &expo, int base = 10, size_t size = 0) const
|
|
{
|
|
__gmp_alloc_cstring temp(mpf_get_str(0, &expo, base, size, mp));
|
|
return std::string(temp.str);
|
|
}
|
|
|
|
// conversion functions
|
|
mpf_srcptr __get_mp() const { return mp; }
|
|
mpf_ptr __get_mp() { return mp; }
|
|
mpf_srcptr get_mpf_t() const { return mp; }
|
|
mpf_ptr get_mpf_t() { return mp; }
|
|
|
|
mpir_si get_si() const { return mpf_get_si(mp); }
|
|
mpir_ui get_ui() const { return mpf_get_ui(mp); }
|
|
double get_d() const { return mpf_get_d(mp); }
|
|
|
|
// bool fits_schar_p() const { return mpf_fits_schar_p(mp); }
|
|
// bool fits_uchar_p() const { return mpf_fits_uchar_p(mp); }
|
|
bool fits_sint_p() const { return mpf_fits_sint_p(mp); }
|
|
bool fits_uint_p() const { return mpf_fits_uint_p(mp); }
|
|
bool fits_si_p() const { return mpf_fits_si_p(mp); }
|
|
bool fits_ui_p() const { return mpf_fits_ui_p(mp); }
|
|
bool fits_sshort_p() const { return mpf_fits_sshort_p(mp); }
|
|
bool fits_ushort_p() const { return mpf_fits_ushort_p(mp); }
|
|
bool fits_slong_p() const { return mpf_fits_slong_p(mp); }
|
|
bool fits_ulong_p() const { return mpf_fits_ulong_p(mp); }
|
|
// bool fits_float_p() const { return mpf_fits_float_p(mp); }
|
|
// bool fits_double_p() const { return mpf_fits_double_p(mp); }
|
|
// bool fits_ldouble_p() const { return mpf_fits_ldouble_p(mp); }
|
|
|
|
#if __GMPXX_USE_CXX11
|
|
explicit operator bool() const { return mp->_mp_size != 0; }
|
|
#endif
|
|
|
|
// compound assignments
|
|
__GMP_DECLARE_COMPOUND_OPERATOR(operator+=)
|
|
__GMP_DECLARE_COMPOUND_OPERATOR(operator-=)
|
|
__GMP_DECLARE_COMPOUND_OPERATOR(operator*=)
|
|
__GMP_DECLARE_COMPOUND_OPERATOR(operator/=)
|
|
|
|
__GMP_DECLARE_COMPOUND_OPERATOR_UI(operator<<=)
|
|
__GMP_DECLARE_COMPOUND_OPERATOR_UI(operator>>=)
|
|
|
|
__GMP_DECLARE_INCREMENT_OPERATOR(operator++)
|
|
__GMP_DECLARE_INCREMENT_OPERATOR(operator--)
|
|
};
|
|
|
|
typedef __gmp_expr<mpf_t, mpf_t> mpf_class;
|
|
|
|
|
|
|
|
/**************** User-defined literals ****************/
|
|
|
|
#if __GMPXX_USE_CXX11
|
|
inline mpz_class operator"" _mpz(const char* s)
|
|
{
|
|
return mpz_class(s);
|
|
}
|
|
|
|
inline mpq_class operator"" _mpq(const char* s)
|
|
{
|
|
mpq_class q;
|
|
q.get_num() = s;
|
|
return q;
|
|
}
|
|
|
|
inline mpf_class operator"" _mpf(const char* s)
|
|
{
|
|
return mpf_class(s);
|
|
}
|
|
#endif
|
|
|
|
/**************** I/O operators ****************/
|
|
|
|
// these should (and will) be provided separately
|
|
|
|
template <class T, class U>
|
|
inline std::ostream & operator<<
|
|
(std::ostream &o, const __gmp_expr<T, U> &expr)
|
|
{
|
|
__gmp_expr<T, T> const& temp(expr);
|
|
return o << temp.__get_mp();
|
|
}
|
|
|
|
template <class T>
|
|
inline std::istream & operator>>(std::istream &i, __gmp_expr<T, T> &expr)
|
|
{
|
|
return i >> expr.__get_mp();
|
|
}
|
|
|
|
/*
|
|
// you might want to uncomment this
|
|
inline std::istream & operator>>(std::istream &i, mpq_class &q)
|
|
{
|
|
i >> q.get_mpq_t();
|
|
q.canonicalize();
|
|
return i;
|
|
}
|
|
*/
|
|
|
|
|
|
/**************** Functions for type conversion ****************/
|
|
|
|
inline void __gmp_set_expr(mpz_ptr z, const mpz_class &w)
|
|
{
|
|
mpz_set(z, w.get_mpz_t());
|
|
}
|
|
|
|
template <class T>
|
|
inline void __gmp_set_expr(mpz_ptr z, const __gmp_expr<mpz_t, T> &expr)
|
|
{
|
|
expr.eval(z);
|
|
}
|
|
|
|
template <class T>
|
|
inline void __gmp_set_expr(mpz_ptr z, const __gmp_expr<mpq_t, T> &expr)
|
|
{
|
|
mpq_class const& temp(expr);
|
|
mpz_set_q(z, temp.get_mpq_t());
|
|
}
|
|
|
|
template <class T>
|
|
inline void __gmp_set_expr(mpz_ptr z, const __gmp_expr<mpf_t, T> &expr)
|
|
{
|
|
mpf_class const& temp(expr);
|
|
mpz_set_f(z, temp.get_mpf_t());
|
|
}
|
|
|
|
inline void __gmp_set_expr(mpq_ptr q, const mpz_class &z)
|
|
{
|
|
mpq_set_z(q, z.get_mpz_t());
|
|
}
|
|
|
|
template <class T>
|
|
inline void __gmp_set_expr(mpq_ptr q, const __gmp_expr<mpz_t, T> &expr)
|
|
{
|
|
__gmp_set_expr(mpq_numref(q), expr);
|
|
mpz_set_ui(mpq_denref(q), 1);
|
|
}
|
|
|
|
inline void __gmp_set_expr(mpq_ptr q, const mpq_class &r)
|
|
{
|
|
mpq_set(q, r.get_mpq_t());
|
|
}
|
|
|
|
template <class T>
|
|
inline void __gmp_set_expr(mpq_ptr q, const __gmp_expr<mpq_t, T> &expr)
|
|
{
|
|
expr.eval(q);
|
|
}
|
|
|
|
template <class T>
|
|
inline void __gmp_set_expr(mpq_ptr q, const __gmp_expr<mpf_t, T> &expr)
|
|
{
|
|
mpf_class const& temp(expr);
|
|
mpq_set_f(q, temp.get_mpf_t());
|
|
}
|
|
|
|
template <class T>
|
|
inline void __gmp_set_expr(mpf_ptr f, const __gmp_expr<mpz_t, T> &expr)
|
|
{
|
|
mpz_class const& temp(expr);
|
|
mpf_set_z(f, temp.get_mpz_t());
|
|
}
|
|
|
|
template <class T>
|
|
inline void __gmp_set_expr(mpf_ptr f, const __gmp_expr<mpq_t, T> &expr)
|
|
{
|
|
mpq_class const& temp(expr);
|
|
mpf_set_q(f, temp.get_mpq_t());
|
|
}
|
|
|
|
inline void __gmp_set_expr(mpf_ptr f, const mpf_class &g)
|
|
{
|
|
mpf_set(f, g.get_mpf_t());
|
|
}
|
|
|
|
template <class T>
|
|
inline void __gmp_set_expr(mpf_ptr f, const __gmp_expr<mpf_t, T> &expr)
|
|
{
|
|
expr.eval(f);
|
|
}
|
|
|
|
|
|
/* Temporary objects */
|
|
|
|
template <class T>
|
|
class __gmp_temp
|
|
{
|
|
__gmp_expr<T, T> val;
|
|
public:
|
|
template<class U, class V>
|
|
__gmp_temp(U const& u, V) : val (u) {}
|
|
typename __gmp_resolve_expr<T>::srcptr_type
|
|
__get_mp() const { return val.__get_mp(); }
|
|
};
|
|
|
|
template <>
|
|
class __gmp_temp <mpf_t>
|
|
{
|
|
mpf_class val;
|
|
public:
|
|
template<class U>
|
|
__gmp_temp(U const& u, mpf_ptr res) : val (u, mpf_get_prec(res)) {}
|
|
mpf_srcptr __get_mp() const { return val.__get_mp(); }
|
|
};
|
|
|
|
/**************** Specializations of __gmp_expr ****************/
|
|
/* The eval() method of __gmp_expr<T, U> evaluates the corresponding
|
|
expression and assigns the result to its argument, which is either an
|
|
mpz_t, mpq_t, or mpf_t as specified by the T argument.
|
|
Compound expressions are evaluated recursively (temporaries are created
|
|
to hold intermediate values), while for simple expressions the eval()
|
|
method of the appropriate function object (available as the Op argument
|
|
of either __gmp_unary_expr<T, Op> or __gmp_binary_expr<T, U, Op>) is
|
|
called. */
|
|
|
|
|
|
/**************** Unary expressions ****************/
|
|
/* cases:
|
|
- simple: argument is mp*_class, that is, __gmp_expr<T, T>
|
|
- compound: argument is __gmp_expr<T, U> (with U not equal to T) */
|
|
|
|
|
|
// simple expressions
|
|
|
|
template <class T, class Op>
|
|
class __gmp_expr<T, __gmp_unary_expr<__gmp_expr<T, T>, Op> >
|
|
{
|
|
private:
|
|
typedef __gmp_expr<T, T> val_type;
|
|
|
|
__gmp_unary_expr<val_type, Op> expr;
|
|
public:
|
|
explicit __gmp_expr(const val_type &val) : expr(val) { }
|
|
void eval(typename __gmp_resolve_expr<T>::ptr_type p) const
|
|
{ Op::eval(p, expr.val.__get_mp()); }
|
|
const val_type & get_val() const { return expr.val; }
|
|
mp_bitcnt_t get_prec() const { return expr.val.get_prec(); }
|
|
};
|
|
|
|
|
|
// compound expressions
|
|
|
|
template <class T, class U, class Op>
|
|
class __gmp_expr<T, __gmp_unary_expr<__gmp_expr<T, U>, Op> >
|
|
{
|
|
private:
|
|
typedef __gmp_expr<T, U> val_type;
|
|
|
|
__gmp_unary_expr<val_type, Op> expr;
|
|
public:
|
|
explicit __gmp_expr(const val_type &val) : expr(val) { }
|
|
void eval(typename __gmp_resolve_expr<T>::ptr_type p) const
|
|
{ expr.val.eval(p); Op::eval(p, p); }
|
|
const val_type & get_val() const { return expr.val; }
|
|
mp_bitcnt_t get_prec() const { return expr.val.get_prec(); }
|
|
};
|
|
|
|
|
|
/**************** Binary expressions ****************/
|
|
/* simple:
|
|
- arguments are both mp*_class
|
|
- one argument is mp*_class, one is a built-in type
|
|
compound:
|
|
- one is mp*_class, one is __gmp_expr<T, U>
|
|
- one is __gmp_expr<T, U>, one is built-in
|
|
- both arguments are __gmp_expr<...> */
|
|
|
|
|
|
// simple expressions
|
|
|
|
template <class T, class Op>
|
|
class __gmp_expr
|
|
<T, __gmp_binary_expr<__gmp_expr<T, T>, __gmp_expr<T, T>, Op> >
|
|
{
|
|
private:
|
|
typedef __gmp_expr<T, T> val1_type;
|
|
typedef __gmp_expr<T, T> val2_type;
|
|
|
|
__gmp_binary_expr<val1_type, val2_type, Op> expr;
|
|
public:
|
|
__gmp_expr(const val1_type &val1, const val2_type &val2)
|
|
: expr(val1, val2) { }
|
|
void eval(typename __gmp_resolve_expr<T>::ptr_type p) const
|
|
{ Op::eval(p, expr.val1.__get_mp(), expr.val2.__get_mp()); }
|
|
const val1_type & get_val1() const { return expr.val1; }
|
|
const val2_type & get_val2() const { return expr.val2; }
|
|
mp_bitcnt_t get_prec() const
|
|
{
|
|
mp_bitcnt_t prec1 = expr.val1.get_prec(),
|
|
prec2 = expr.val2.get_prec();
|
|
return (prec1 > prec2) ? prec1 : prec2;
|
|
}
|
|
};
|
|
|
|
|
|
// simple expressions, T is a built-in numerical type
|
|
|
|
template <class T, class U, class Op>
|
|
class __gmp_expr<T, __gmp_binary_expr<__gmp_expr<T, T>, U, Op> >
|
|
{
|
|
private:
|
|
typedef __gmp_expr<T, T> val1_type;
|
|
typedef U val2_type;
|
|
|
|
__gmp_binary_expr<val1_type, val2_type, Op> expr;
|
|
public:
|
|
__gmp_expr(const val1_type &val1, const val2_type &val2)
|
|
: expr(val1, val2) { }
|
|
void eval(typename __gmp_resolve_expr<T>::ptr_type p) const
|
|
{ Op::eval(p, expr.val1.__get_mp(), expr.val2); }
|
|
const val1_type & get_val1() const { return expr.val1; }
|
|
const val2_type & get_val2() const { return expr.val2; }
|
|
mp_bitcnt_t get_prec() const { return expr.val1.get_prec(); }
|
|
};
|
|
|
|
template <class T, class U, class Op>
|
|
class __gmp_expr<T, __gmp_binary_expr<U, __gmp_expr<T, T>, Op> >
|
|
{
|
|
private:
|
|
typedef U val1_type;
|
|
typedef __gmp_expr<T, T> val2_type;
|
|
|
|
__gmp_binary_expr<val1_type, val2_type, Op> expr;
|
|
public:
|
|
__gmp_expr(const val1_type &val1, const val2_type &val2)
|
|
: expr(val1, val2) { }
|
|
void eval(typename __gmp_resolve_expr<T>::ptr_type p) const
|
|
{ Op::eval(p, expr.val1, expr.val2.__get_mp()); }
|
|
const val1_type & get_val1() const { return expr.val1; }
|
|
const val2_type & get_val2() const { return expr.val2; }
|
|
mp_bitcnt_t get_prec() const { return expr.val2.get_prec(); }
|
|
};
|
|
|
|
|
|
// compound expressions, one argument is a subexpression
|
|
|
|
template <class T, class U, class V, class Op>
|
|
class __gmp_expr
|
|
<T, __gmp_binary_expr<__gmp_expr<T, T>, __gmp_expr<U, V>, Op> >
|
|
{
|
|
private:
|
|
typedef __gmp_expr<T, T> val1_type;
|
|
typedef __gmp_expr<U, V> val2_type;
|
|
|
|
__gmp_binary_expr<val1_type, val2_type, Op> expr;
|
|
public:
|
|
__gmp_expr(const val1_type &val1, const val2_type &val2)
|
|
: expr(val1, val2) { }
|
|
void eval(typename __gmp_resolve_expr<T>::ptr_type p) const
|
|
{
|
|
if(p != expr.val1.__get_mp())
|
|
{
|
|
__gmp_set_expr(p, expr.val2);
|
|
Op::eval(p, expr.val1.__get_mp(), p);
|
|
}
|
|
else
|
|
{
|
|
__gmp_temp<T> temp(expr.val2, p);
|
|
Op::eval(p, expr.val1.__get_mp(), temp.__get_mp());
|
|
}
|
|
}
|
|
const val1_type & get_val1() const { return expr.val1; }
|
|
const val2_type & get_val2() const { return expr.val2; }
|
|
mp_bitcnt_t get_prec() const
|
|
{
|
|
mp_bitcnt_t prec1 = expr.val1.get_prec(),
|
|
prec2 = expr.val2.get_prec();
|
|
return (prec1 > prec2) ? prec1 : prec2;
|
|
}
|
|
};
|
|
|
|
template <class T, class U, class V, class Op>
|
|
class __gmp_expr
|
|
<T, __gmp_binary_expr<__gmp_expr<U, V>, __gmp_expr<T, T>, Op> >
|
|
{
|
|
private:
|
|
typedef __gmp_expr<U, V> val1_type;
|
|
typedef __gmp_expr<T, T> val2_type;
|
|
|
|
__gmp_binary_expr<val1_type, val2_type, Op> expr;
|
|
public:
|
|
__gmp_expr(const val1_type &val1, const val2_type &val2)
|
|
: expr(val1, val2) { }
|
|
void eval(typename __gmp_resolve_expr<T>::ptr_type p) const
|
|
{
|
|
if(p != expr.val2.__get_mp())
|
|
{
|
|
__gmp_set_expr(p, expr.val1);
|
|
Op::eval(p, p, expr.val2.__get_mp());
|
|
}
|
|
else
|
|
{
|
|
__gmp_temp<T> temp(expr.val1, p);
|
|
Op::eval(p, temp.__get_mp(), expr.val2.__get_mp());
|
|
}
|
|
}
|
|
const val1_type & get_val1() const { return expr.val1; }
|
|
const val2_type & get_val2() const { return expr.val2; }
|
|
mp_bitcnt_t get_prec() const
|
|
{
|
|
mp_bitcnt_t prec1 = expr.val1.get_prec(),
|
|
prec2 = expr.val2.get_prec();
|
|
return (prec1 > prec2) ? prec1 : prec2;
|
|
}
|
|
};
|
|
|
|
template <class T, class U, class Op>
|
|
class __gmp_expr
|
|
<T, __gmp_binary_expr<__gmp_expr<T, T>, __gmp_expr<T, U>, Op> >
|
|
{
|
|
private:
|
|
typedef __gmp_expr<T, T> val1_type;
|
|
typedef __gmp_expr<T, U> val2_type;
|
|
|
|
__gmp_binary_expr<val1_type, val2_type, Op> expr;
|
|
public:
|
|
__gmp_expr(const val1_type &val1, const val2_type &val2)
|
|
: expr(val1, val2) { }
|
|
void eval(typename __gmp_resolve_expr<T>::ptr_type p) const
|
|
{
|
|
if(p != expr.val1.__get_mp())
|
|
{
|
|
__gmp_set_expr(p, expr.val2);
|
|
Op::eval(p, expr.val1.__get_mp(), p);
|
|
}
|
|
else
|
|
{
|
|
__gmp_temp<T> temp(expr.val2, p);
|
|
Op::eval(p, expr.val1.__get_mp(), temp.__get_mp());
|
|
}
|
|
}
|
|
const val1_type & get_val1() const { return expr.val1; }
|
|
const val2_type & get_val2() const { return expr.val2; }
|
|
mp_bitcnt_t get_prec() const
|
|
{
|
|
mp_bitcnt_t prec1 = expr.val1.get_prec(),
|
|
prec2 = expr.val2.get_prec();
|
|
return (prec1 > prec2) ? prec1 : prec2;
|
|
}
|
|
};
|
|
|
|
template <class T, class U, class Op>
|
|
class __gmp_expr
|
|
<T, __gmp_binary_expr<__gmp_expr<T, U>, __gmp_expr<T, T>, Op> >
|
|
{
|
|
private:
|
|
typedef __gmp_expr<T, U> val1_type;
|
|
typedef __gmp_expr<T, T> val2_type;
|
|
|
|
__gmp_binary_expr<val1_type, val2_type, Op> expr;
|
|
public:
|
|
__gmp_expr(const val1_type &val1, const val2_type &val2)
|
|
: expr(val1, val2) { }
|
|
void eval(typename __gmp_resolve_expr<T>::ptr_type p) const
|
|
{
|
|
if(p != expr.val2.__get_mp())
|
|
{
|
|
__gmp_set_expr(p, expr.val1);
|
|
Op::eval(p, p, expr.val2.__get_mp());
|
|
}
|
|
else
|
|
{
|
|
__gmp_temp<T> temp(expr.val1, p);
|
|
Op::eval(p, temp.__get_mp(), expr.val2.__get_mp());
|
|
}
|
|
}
|
|
const val1_type & get_val1() const { return expr.val1; }
|
|
const val2_type & get_val2() const { return expr.val2; }
|
|
mp_bitcnt_t get_prec() const
|
|
{
|
|
mp_bitcnt_t prec1 = expr.val1.get_prec(),
|
|
prec2 = expr.val2.get_prec();
|
|
return (prec1 > prec2) ? prec1 : prec2;
|
|
}
|
|
};
|
|
|
|
|
|
// one argument is a subexpression, one is a built-in
|
|
|
|
template <class T, class U, class V, class Op>
|
|
class __gmp_expr<T, __gmp_binary_expr<__gmp_expr<T, U>, V, Op> >
|
|
{
|
|
private:
|
|
typedef __gmp_expr<T, U> val1_type;
|
|
typedef V val2_type;
|
|
|
|
__gmp_binary_expr<val1_type, val2_type, Op> expr;
|
|
public:
|
|
__gmp_expr(const val1_type &val1, const val2_type &val2)
|
|
: expr(val1, val2) { }
|
|
void eval(typename __gmp_resolve_expr<T>::ptr_type p) const
|
|
{
|
|
expr.val1.eval(p);
|
|
Op::eval(p, p, expr.val2);
|
|
}
|
|
const val1_type & get_val1() const { return expr.val1; }
|
|
const val2_type & get_val2() const { return expr.val2; }
|
|
mp_bitcnt_t get_prec() const { return expr.val1.get_prec(); }
|
|
};
|
|
|
|
template <class T, class U, class V, class Op>
|
|
class __gmp_expr<T, __gmp_binary_expr<U, __gmp_expr<T, V>, Op> >
|
|
{
|
|
private:
|
|
typedef U val1_type;
|
|
typedef __gmp_expr<T, V> val2_type;
|
|
|
|
__gmp_binary_expr<val1_type, val2_type, Op> expr;
|
|
public:
|
|
__gmp_expr(const val1_type &val1, const val2_type &val2)
|
|
: expr(val1, val2) { }
|
|
void eval(typename __gmp_resolve_expr<T>::ptr_type p) const
|
|
{
|
|
expr.val2.eval(p);
|
|
Op::eval(p, expr.val1, p);
|
|
}
|
|
const val1_type & get_val1() const { return expr.val1; }
|
|
const val2_type & get_val2() const { return expr.val2; }
|
|
mp_bitcnt_t get_prec() const { return expr.val2.get_prec(); }
|
|
};
|
|
|
|
|
|
// both arguments are subexpressions
|
|
|
|
template <class T, class U, class V, class W, class Op>
|
|
class __gmp_expr
|
|
<T, __gmp_binary_expr<__gmp_expr<T, U>, __gmp_expr<V, W>, Op> >
|
|
{
|
|
private:
|
|
typedef __gmp_expr<T, U> val1_type;
|
|
typedef __gmp_expr<V, W> val2_type;
|
|
|
|
__gmp_binary_expr<val1_type, val2_type, Op> expr;
|
|
public:
|
|
__gmp_expr(const val1_type &val1, const val2_type &val2)
|
|
: expr(val1, val2) { }
|
|
void eval(typename __gmp_resolve_expr<T>::ptr_type p) const
|
|
{
|
|
__gmp_temp<T> temp2(expr.val2, p);
|
|
expr.val1.eval(p);
|
|
Op::eval(p, p, temp2.__get_mp());
|
|
}
|
|
const val1_type & get_val1() const { return expr.val1; }
|
|
const val2_type & get_val2() const { return expr.val2; }
|
|
mp_bitcnt_t get_prec() const
|
|
{
|
|
mp_bitcnt_t prec1 = expr.val1.get_prec(),
|
|
prec2 = expr.val2.get_prec();
|
|
return (prec1 > prec2) ? prec1 : prec2;
|
|
}
|
|
};
|
|
|
|
template <class T, class U, class V, class W, class Op>
|
|
class __gmp_expr
|
|
<T, __gmp_binary_expr<__gmp_expr<U, V>, __gmp_expr<T, W>, Op> >
|
|
{
|
|
private:
|
|
typedef __gmp_expr<U, V> val1_type;
|
|
typedef __gmp_expr<T, W> val2_type;
|
|
|
|
__gmp_binary_expr<val1_type, val2_type, Op> expr;
|
|
public:
|
|
__gmp_expr(const val1_type &val1, const val2_type &val2)
|
|
: expr(val1, val2) { }
|
|
void eval(typename __gmp_resolve_expr<T>::ptr_type p) const
|
|
{
|
|
__gmp_temp<T> temp1(expr.val1, p);
|
|
expr.val2.eval(p);
|
|
Op::eval(p, temp1.__get_mp(), p);
|
|
}
|
|
const val1_type & get_val1() const { return expr.val1; }
|
|
const val2_type & get_val2() const { return expr.val2; }
|
|
mp_bitcnt_t get_prec() const
|
|
{
|
|
mp_bitcnt_t prec1 = expr.val1.get_prec(),
|
|
prec2 = expr.val2.get_prec();
|
|
return (prec1 > prec2) ? prec1 : prec2;
|
|
}
|
|
};
|
|
|
|
template <class T, class U, class V, class Op>
|
|
class __gmp_expr
|
|
<T, __gmp_binary_expr<__gmp_expr<T, U>, __gmp_expr<T, V>, Op> >
|
|
{
|
|
private:
|
|
typedef __gmp_expr<T, U> val1_type;
|
|
typedef __gmp_expr<T, V> val2_type;
|
|
|
|
__gmp_binary_expr<val1_type, val2_type, Op> expr;
|
|
public:
|
|
__gmp_expr(const val1_type &val1, const val2_type &val2)
|
|
: expr(val1, val2) { }
|
|
void eval(typename __gmp_resolve_expr<T>::ptr_type p) const
|
|
{
|
|
__gmp_temp<T> temp2(expr.val2, p);
|
|
expr.val1.eval(p);
|
|
Op::eval(p, p, temp2.__get_mp());
|
|
}
|
|
const val1_type & get_val1() const { return expr.val1; }
|
|
const val2_type & get_val2() const { return expr.val2; }
|
|
mp_bitcnt_t get_prec() const
|
|
{
|
|
mp_bitcnt_t prec1 = expr.val1.get_prec(),
|
|
prec2 = expr.val2.get_prec();
|
|
return (prec1 > prec2) ? prec1 : prec2;
|
|
}
|
|
};
|
|
|
|
|
|
/**************** Special cases ****************/
|
|
|
|
/* Some operations (i.e., add and subtract) with mixed mpz/mpq arguments
|
|
can be done directly without first converting the mpz to mpq.
|
|
Appropriate specializations of __gmp_expr are required. */
|
|
|
|
|
|
#define __GMPZQ_DEFINE_EXPR(eval_fun) \
|
|
\
|
|
template <> \
|
|
class __gmp_expr<mpq_t, __gmp_binary_expr<mpz_class, mpq_class, eval_fun> > \
|
|
{ \
|
|
private: \
|
|
typedef mpz_class val1_type; \
|
|
typedef mpq_class val2_type; \
|
|
\
|
|
__gmp_binary_expr<val1_type, val2_type, eval_fun> expr; \
|
|
public: \
|
|
__gmp_expr(const val1_type &val1, const val2_type &val2) \
|
|
: expr(val1, val2) { } \
|
|
void eval(mpq_ptr q) const \
|
|
{ eval_fun::eval(q, expr.val1.get_mpz_t(), expr.val2.get_mpq_t()); } \
|
|
const val1_type & get_val1() const { return expr.val1; } \
|
|
const val2_type & get_val2() const { return expr.val2; } \
|
|
mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } \
|
|
}; \
|
|
\
|
|
template <> \
|
|
class __gmp_expr<mpq_t, __gmp_binary_expr<mpq_class, mpz_class, eval_fun> > \
|
|
{ \
|
|
private: \
|
|
typedef mpq_class val1_type; \
|
|
typedef mpz_class val2_type; \
|
|
\
|
|
__gmp_binary_expr<val1_type, val2_type, eval_fun> expr; \
|
|
public: \
|
|
__gmp_expr(const val1_type &val1, const val2_type &val2) \
|
|
: expr(val1, val2) { } \
|
|
void eval(mpq_ptr q) const \
|
|
{ eval_fun::eval(q, expr.val1.get_mpq_t(), expr.val2.get_mpz_t()); } \
|
|
const val1_type & get_val1() const { return expr.val1; } \
|
|
const val2_type & get_val2() const { return expr.val2; } \
|
|
mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } \
|
|
}; \
|
|
\
|
|
template <class T> \
|
|
class __gmp_expr \
|
|
<mpq_t, __gmp_binary_expr<mpz_class, __gmp_expr<mpq_t, T>, eval_fun> > \
|
|
{ \
|
|
private: \
|
|
typedef mpz_class val1_type; \
|
|
typedef __gmp_expr<mpq_t, T> val2_type; \
|
|
\
|
|
__gmp_binary_expr<val1_type, val2_type, eval_fun> expr; \
|
|
public: \
|
|
__gmp_expr(const val1_type &val1, const val2_type &val2) \
|
|
: expr(val1, val2) { } \
|
|
void eval(mpq_ptr q) const \
|
|
{ \
|
|
mpq_class temp(expr.val2); \
|
|
eval_fun::eval(q, expr.val1.get_mpz_t(), temp.get_mpq_t()); \
|
|
} \
|
|
const val1_type & get_val1() const { return expr.val1; } \
|
|
const val2_type & get_val2() const { return expr.val2; } \
|
|
mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } \
|
|
}; \
|
|
\
|
|
template <class T> \
|
|
class __gmp_expr \
|
|
<mpq_t, __gmp_binary_expr<mpq_class, __gmp_expr<mpz_t, T>, eval_fun> > \
|
|
{ \
|
|
private: \
|
|
typedef mpq_class val1_type; \
|
|
typedef __gmp_expr<mpz_t, T> val2_type; \
|
|
\
|
|
__gmp_binary_expr<val1_type, val2_type, eval_fun> expr; \
|
|
public: \
|
|
__gmp_expr(const val1_type &val1, const val2_type &val2) \
|
|
: expr(val1, val2) { } \
|
|
void eval(mpq_ptr q) const \
|
|
{ \
|
|
mpz_class temp(expr.val2); \
|
|
eval_fun::eval(q, expr.val1.get_mpq_t(), temp.get_mpz_t()); \
|
|
} \
|
|
const val1_type & get_val1() const { return expr.val1; } \
|
|
const val2_type & get_val2() const { return expr.val2; } \
|
|
mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } \
|
|
}; \
|
|
\
|
|
template <class T> \
|
|
class __gmp_expr \
|
|
<mpq_t, __gmp_binary_expr<__gmp_expr<mpz_t, T>, mpq_class, eval_fun> > \
|
|
{ \
|
|
private: \
|
|
typedef __gmp_expr<mpz_t, T> val1_type; \
|
|
typedef mpq_class val2_type; \
|
|
\
|
|
__gmp_binary_expr<val1_type, val2_type, eval_fun> expr; \
|
|
public: \
|
|
__gmp_expr(const val1_type &val1, const val2_type &val2) \
|
|
: expr(val1, val2) { } \
|
|
void eval(mpq_ptr q) const \
|
|
{ \
|
|
mpz_class temp(expr.val1); \
|
|
eval_fun::eval(q, temp.get_mpz_t(), expr.val2.get_mpq_t()); \
|
|
} \
|
|
const val1_type & get_val1() const { return expr.val1; } \
|
|
const val2_type & get_val2() const { return expr.val2; } \
|
|
mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } \
|
|
}; \
|
|
\
|
|
template <class T> \
|
|
class __gmp_expr \
|
|
<mpq_t, __gmp_binary_expr<__gmp_expr<mpq_t, T>, mpz_class, eval_fun> > \
|
|
{ \
|
|
private: \
|
|
typedef __gmp_expr<mpq_t, T> val1_type; \
|
|
typedef mpz_class val2_type; \
|
|
\
|
|
__gmp_binary_expr<val1_type, val2_type, eval_fun> expr; \
|
|
public: \
|
|
__gmp_expr(const val1_type &val1, const val2_type &val2) \
|
|
: expr(val1, val2) { } \
|
|
void eval(mpq_ptr q) const \
|
|
{ \
|
|
mpq_class temp(expr.val1); \
|
|
eval_fun::eval(q, temp.get_mpq_t(), expr.val2.get_mpz_t()); \
|
|
} \
|
|
const val1_type & get_val1() const { return expr.val1; } \
|
|
const val2_type & get_val2() const { return expr.val2; } \
|
|
mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } \
|
|
}; \
|
|
\
|
|
template <class T, class U> \
|
|
class __gmp_expr<mpq_t, __gmp_binary_expr \
|
|
<__gmp_expr<mpz_t, T>, __gmp_expr<mpq_t, U>, eval_fun> > \
|
|
{ \
|
|
private: \
|
|
typedef __gmp_expr<mpz_t, T> val1_type; \
|
|
typedef __gmp_expr<mpq_t, U> val2_type; \
|
|
\
|
|
__gmp_binary_expr<val1_type, val2_type, eval_fun> expr; \
|
|
public: \
|
|
__gmp_expr(const val1_type &val1, const val2_type &val2) \
|
|
: expr(val1, val2) { } \
|
|
void eval(mpq_ptr q) const \
|
|
{ \
|
|
mpz_class temp1(expr.val1); \
|
|
expr.val2.eval(q); \
|
|
eval_fun::eval(q, temp1.get_mpz_t(), q); \
|
|
} \
|
|
const val1_type & get_val1() const { return expr.val1; } \
|
|
const val2_type & get_val2() const { return expr.val2; } \
|
|
mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } \
|
|
}; \
|
|
\
|
|
template <class T, class U> \
|
|
class __gmp_expr<mpq_t, __gmp_binary_expr \
|
|
<__gmp_expr<mpq_t, T>, __gmp_expr<mpz_t, U>, eval_fun> > \
|
|
{ \
|
|
private: \
|
|
typedef __gmp_expr<mpq_t, T> val1_type; \
|
|
typedef __gmp_expr<mpz_t, U> val2_type; \
|
|
\
|
|
__gmp_binary_expr<val1_type, val2_type, eval_fun> expr; \
|
|
public: \
|
|
__gmp_expr(const val1_type &val1, const val2_type &val2) \
|
|
: expr(val1, val2) { } \
|
|
void eval(mpq_ptr q) const \
|
|
{ \
|
|
mpz_class temp2(expr.val2); \
|
|
expr.val1.eval(q); \
|
|
eval_fun::eval(q, q, temp2.get_mpz_t()); \
|
|
} \
|
|
const val1_type & get_val1() const { return expr.val1; } \
|
|
const val2_type & get_val2() const { return expr.val2; } \
|
|
mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } \
|
|
};
|
|
|
|
|
|
__GMPZQ_DEFINE_EXPR(__gmp_binary_plus)
|
|
__GMPZQ_DEFINE_EXPR(__gmp_binary_minus)
|
|
|
|
|
|
|
|
/**************** Macros for defining functions ****************/
|
|
/* Results of operators and functions are instances of __gmp_expr<T, U>.
|
|
T determines the numerical type of the expression: it can be either
|
|
mpz_t, mpq_t, or mpf_t. When the arguments of a binary
|
|
expression have different numerical types, __gmp_resolve_expr is used
|
|
to determine the "larger" type.
|
|
U is either __gmp_unary_expr<V, Op> or __gmp_binary_expr<V, W, Op>,
|
|
where V and W are the arguments' types -- they can in turn be
|
|
expressions, thus allowing to build compound expressions to any
|
|
degree of complexity.
|
|
Op is a function object that must have an eval() method accepting
|
|
appropriate arguments.
|
|
Actual evaluation of a __gmp_expr<T, U> object is done when it gets
|
|
assigned to an mp*_class ("lazy" evaluation): this is done by calling
|
|
its eval() method. */
|
|
|
|
|
|
// non-member unary operators and functions
|
|
|
|
#define __GMP_DEFINE_UNARY_FUNCTION(fun, eval_fun) \
|
|
\
|
|
template <class T, class U> \
|
|
inline __gmp_expr<T, __gmp_unary_expr<__gmp_expr<T, U>, eval_fun> > \
|
|
fun(const __gmp_expr<T, U> &expr) \
|
|
{ \
|
|
return __gmp_expr<T, __gmp_unary_expr<__gmp_expr<T, U>, eval_fun> >(expr); \
|
|
}
|
|
|
|
#define __GMP_DEFINE_UNARY_TYPE_FUNCTION(type, fun, eval_fun) \
|
|
\
|
|
template <class T, class U> \
|
|
inline type fun(const __gmp_expr<T, U> &expr) \
|
|
{ \
|
|
__gmp_expr<T, T> const& temp(expr); \
|
|
return eval_fun::eval(temp.__get_mp()); \
|
|
}
|
|
|
|
|
|
// non-member binary operators and functions
|
|
|
|
#define __GMPP_DEFINE_BINARY_FUNCTION(fun, eval_fun) \
|
|
\
|
|
template <class T, class U, class V, class W> \
|
|
inline __gmp_expr<typename __gmp_resolve_expr<T, V>::value_type, \
|
|
__gmp_binary_expr<__gmp_expr<T, U>, __gmp_expr<V, W>, eval_fun> > \
|
|
fun(const __gmp_expr<T, U> &expr1, const __gmp_expr<V, W> &expr2) \
|
|
{ \
|
|
return __gmp_expr<typename __gmp_resolve_expr<T, V>::value_type, \
|
|
__gmp_binary_expr<__gmp_expr<T, U>, __gmp_expr<V, W>, eval_fun> > \
|
|
(expr1, expr2); \
|
|
}
|
|
|
|
#define __GMPNN_DEFINE_BINARY_FUNCTION(fun, eval_fun, type, bigtype) \
|
|
\
|
|
template <class T, class U> \
|
|
inline __gmp_expr \
|
|
<T, __gmp_binary_expr<__gmp_expr<T, U>, bigtype, eval_fun> > \
|
|
fun(const __gmp_expr<T, U> &expr, type t) \
|
|
{ \
|
|
return __gmp_expr \
|
|
<T, __gmp_binary_expr<__gmp_expr<T, U>, bigtype, eval_fun> >(expr, t); \
|
|
} \
|
|
\
|
|
template <class T, class U> \
|
|
inline __gmp_expr \
|
|
<T, __gmp_binary_expr<bigtype, __gmp_expr<T, U>, eval_fun> > \
|
|
fun(type t, const __gmp_expr<T, U> &expr) \
|
|
{ \
|
|
return __gmp_expr \
|
|
<T, __gmp_binary_expr<bigtype, __gmp_expr<T, U>, eval_fun> >(t, expr); \
|
|
}
|
|
|
|
#define __GMPNS_DEFINE_BINARY_FUNCTION(fun, eval_fun, type) \
|
|
__GMPNN_DEFINE_BINARY_FUNCTION(fun, eval_fun, type, mpir_si)
|
|
|
|
#define __GMPNU_DEFINE_BINARY_FUNCTION(fun, eval_fun, type) \
|
|
__GMPNN_DEFINE_BINARY_FUNCTION(fun, eval_fun, type, mpir_ui)
|
|
|
|
#define __GMPND_DEFINE_BINARY_FUNCTION(fun, eval_fun, type) \
|
|
__GMPNN_DEFINE_BINARY_FUNCTION(fun, eval_fun, type, double)
|
|
|
|
#define __GMPNLD_DEFINE_BINARY_FUNCTION(fun, eval_fun, type) \
|
|
__GMPNN_DEFINE_BINARY_FUNCTION(fun, eval_fun, type, long double)
|
|
|
|
#ifdef MPIRXX_HAVE_LLONG
|
|
#define __GMPN_DEFINE_BINARY_FUNCTION(fun, eval_fun) \
|
|
__GMPNS_DEFINE_BINARY_FUNCTION(fun, eval_fun, signed char) \
|
|
__GMPNU_DEFINE_BINARY_FUNCTION(fun, eval_fun, unsigned char) \
|
|
__GMPNS_DEFINE_BINARY_FUNCTION(fun, eval_fun, signed int) \
|
|
__GMPNU_DEFINE_BINARY_FUNCTION(fun, eval_fun, unsigned int) \
|
|
__GMPNS_DEFINE_BINARY_FUNCTION(fun, eval_fun, signed short int) \
|
|
__GMPNU_DEFINE_BINARY_FUNCTION(fun, eval_fun, unsigned short int) \
|
|
__GMPNS_DEFINE_BINARY_FUNCTION(fun, eval_fun, signed long int) \
|
|
__GMPNU_DEFINE_BINARY_FUNCTION(fun, eval_fun, unsigned long int) \
|
|
__GMPNS_DEFINE_BINARY_FUNCTION(fun, eval_fun, signed long long int) \
|
|
__GMPNU_DEFINE_BINARY_FUNCTION(fun, eval_fun, unsigned long long int) \
|
|
__GMPND_DEFINE_BINARY_FUNCTION(fun, eval_fun, float) \
|
|
__GMPND_DEFINE_BINARY_FUNCTION(fun, eval_fun, double) \
|
|
__GMPNLD_DEFINE_BINARY_FUNCTION(fun, eval_fun, long double)
|
|
#else
|
|
#define __GMPN_DEFINE_BINARY_FUNCTION(fun, eval_fun) \
|
|
__GMPNS_DEFINE_BINARY_FUNCTION(fun, eval_fun, signed char) \
|
|
__GMPNU_DEFINE_BINARY_FUNCTION(fun, eval_fun, unsigned char) \
|
|
__GMPNS_DEFINE_BINARY_FUNCTION(fun, eval_fun, signed int) \
|
|
__GMPNU_DEFINE_BINARY_FUNCTION(fun, eval_fun, unsigned int) \
|
|
__GMPNS_DEFINE_BINARY_FUNCTION(fun, eval_fun, signed short int) \
|
|
__GMPNU_DEFINE_BINARY_FUNCTION(fun, eval_fun, unsigned short int) \
|
|
__GMPNS_DEFINE_BINARY_FUNCTION(fun, eval_fun, signed long int) \
|
|
__GMPNU_DEFINE_BINARY_FUNCTION(fun, eval_fun, unsigned long int) \
|
|
__GMPND_DEFINE_BINARY_FUNCTION(fun, eval_fun, float) \
|
|
__GMPND_DEFINE_BINARY_FUNCTION(fun, eval_fun, double) \
|
|
__GMPNLD_DEFINE_BINARY_FUNCTION(fun, eval_fun, long double)
|
|
#endif
|
|
|
|
#define __GMP_DEFINE_BINARY_FUNCTION(fun, eval_fun) \
|
|
__GMPP_DEFINE_BINARY_FUNCTION(fun, eval_fun) \
|
|
__GMPN_DEFINE_BINARY_FUNCTION(fun, eval_fun)
|
|
|
|
|
|
#define __GMP_DEFINE_BINARY_FUNCTION_UI(fun, eval_fun) \
|
|
\
|
|
template <class T, class U> \
|
|
inline __gmp_expr \
|
|
<T, __gmp_binary_expr<__gmp_expr<T, U>, mp_bitcnt_t, eval_fun> > \
|
|
fun(const __gmp_expr<T, U> &expr, mp_bitcnt_t l) \
|
|
{ \
|
|
return __gmp_expr<T, __gmp_binary_expr \
|
|
<__gmp_expr<T, U>, mpir_ui, eval_fun> >(expr, l); \
|
|
}
|
|
|
|
|
|
#define __GMPP_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun) \
|
|
\
|
|
template <class T, class U, class V, class W> \
|
|
inline type fun(const __gmp_expr<T, U> &expr1, \
|
|
const __gmp_expr<V, W> &expr2) \
|
|
{ \
|
|
typedef typename __gmp_resolve_expr<T, V>::value_type eval_type; \
|
|
__gmp_expr<eval_type, eval_type> const& temp1(expr1); \
|
|
__gmp_expr<eval_type, eval_type> const& temp2(expr2); \
|
|
return eval_fun::eval(temp1.__get_mp(), temp2.__get_mp()); \
|
|
}
|
|
|
|
#define __GMPNN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, \
|
|
type2, bigtype) \
|
|
\
|
|
template <class T, class U> \
|
|
inline type fun(const __gmp_expr<T, U> &expr, type2 t) \
|
|
{ \
|
|
__gmp_expr<T, T> const& temp(expr); \
|
|
return eval_fun::eval(temp.__get_mp(), static_cast<bigtype>(t)); \
|
|
} \
|
|
\
|
|
template <class T, class U> \
|
|
inline type fun(type2 t, const __gmp_expr<T, U> &expr) \
|
|
{ \
|
|
__gmp_expr<T, T> const& temp(expr); \
|
|
return eval_fun::eval(static_cast<bigtype>(t), temp.__get_mp()); \
|
|
}
|
|
|
|
#define __GMPNS_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, type2) \
|
|
__GMPNN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, \
|
|
type2, mpir_si)
|
|
|
|
#define __GMPNU_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, type2) \
|
|
__GMPNN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, \
|
|
type2, mpir_ui)
|
|
|
|
#define __GMPND_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, type2) \
|
|
__GMPNN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, type2, double)
|
|
|
|
#define __GMPNLD_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, type2) \
|
|
__GMPNN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, type2, long double)
|
|
|
|
#ifdef MPIRXX_HAVE_LLONG
|
|
#define __GMPN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun) \
|
|
__GMPNS_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, signed char) \
|
|
__GMPNU_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, unsigned char) \
|
|
__GMPNS_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, signed int) \
|
|
__GMPNU_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, unsigned int) \
|
|
__GMPNS_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, signed short int) \
|
|
__GMPNU_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, unsigned short int) \
|
|
__GMPNS_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, signed long int) \
|
|
__GMPNU_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, unsigned long int) \
|
|
__GMPNS_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, signed long long int) \
|
|
__GMPNU_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, unsigned long long int) \
|
|
__GMPND_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, float) \
|
|
__GMPND_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, double) \
|
|
__GMPNLD_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, long double)
|
|
#else
|
|
#define __GMPN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun) \
|
|
__GMPNS_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, signed char) \
|
|
__GMPNU_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, unsigned char) \
|
|
__GMPNS_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, signed int) \
|
|
__GMPNU_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, unsigned int) \
|
|
__GMPNS_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, signed short int) \
|
|
__GMPNU_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, unsigned short int) \
|
|
__GMPNS_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, signed long int) \
|
|
__GMPNU_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, unsigned long int) \
|
|
__GMPND_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, float) \
|
|
__GMPND_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, double) \
|
|
__GMPNLD_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, long double)
|
|
#endif
|
|
|
|
#define __GMP_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun) \
|
|
__GMPP_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun) \
|
|
__GMPN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun)
|
|
|
|
|
|
// member operators
|
|
|
|
#define __GMPP_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun) \
|
|
\
|
|
template <class T, class U> \
|
|
inline type##_class & type##_class::fun(const __gmp_expr<T, U> &expr) \
|
|
{ \
|
|
__gmp_set_expr(mp, __gmp_expr<type##_t, __gmp_binary_expr \
|
|
<type##_class, __gmp_expr<T, U>, eval_fun> >(*this, expr)); \
|
|
return *this; \
|
|
}
|
|
|
|
#define __GMPNN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, \
|
|
type2, bigtype) \
|
|
\
|
|
inline type##_class & type##_class::fun(type2 t) \
|
|
{ \
|
|
__gmp_set_expr(mp, __gmp_expr<type##_t, __gmp_binary_expr \
|
|
<type##_class, bigtype, eval_fun> >(*this, t)); \
|
|
return *this; \
|
|
}
|
|
|
|
#define __GMPNS_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, type2) \
|
|
__GMPNN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, \
|
|
type2, mpir_si)
|
|
|
|
#define __GMPNU_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, type2) \
|
|
__GMPNN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, \
|
|
type2, mpir_ui)
|
|
|
|
#define __GMPND_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, type2) \
|
|
__GMPNN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, type2, double)
|
|
|
|
#define __GMPNLD_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, type2) \
|
|
__GMPNN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, type2, long double)
|
|
|
|
#ifdef MPIRXX_HAVE_LLONG
|
|
#define __GMPN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun) \
|
|
__GMPNS_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, signed char) \
|
|
__GMPNU_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, unsigned char) \
|
|
__GMPNS_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, signed int) \
|
|
__GMPNU_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, unsigned int) \
|
|
__GMPNS_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, signed short int) \
|
|
__GMPNU_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, unsigned short int) \
|
|
__GMPNS_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, signed long int) \
|
|
__GMPNU_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, unsigned long int) \
|
|
__GMPNS_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, signed long long int) \
|
|
__GMPNU_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, unsigned long long int) \
|
|
__GMPND_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, float) \
|
|
__GMPND_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, double) \
|
|
/* __GMPNLD_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, long double) */
|
|
#else
|
|
#define __GMPN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun) \
|
|
__GMPNS_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, signed char) \
|
|
__GMPNU_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, unsigned char) \
|
|
__GMPNS_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, signed int) \
|
|
__GMPNU_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, unsigned int) \
|
|
__GMPNS_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, signed short int) \
|
|
__GMPNU_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, unsigned short int) \
|
|
__GMPNS_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, signed long int) \
|
|
__GMPNU_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, unsigned long int) \
|
|
__GMPND_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, float) \
|
|
__GMPND_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, double) \
|
|
/* __GMPNLD_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, long double) */
|
|
#endif
|
|
|
|
#define __GMP_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun) \
|
|
__GMPP_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun) \
|
|
__GMPN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun)
|
|
|
|
#define __GMPZ_DEFINE_COMPOUND_OPERATOR(fun, eval_fun) \
|
|
__GMP_DEFINE_COMPOUND_OPERATOR(mpz, fun, eval_fun)
|
|
|
|
#define __GMPQ_DEFINE_COMPOUND_OPERATOR(fun, eval_fun) \
|
|
__GMP_DEFINE_COMPOUND_OPERATOR(mpq, fun, eval_fun)
|
|
|
|
#define __GMPF_DEFINE_COMPOUND_OPERATOR(fun, eval_fun) \
|
|
__GMP_DEFINE_COMPOUND_OPERATOR(mpf, fun, eval_fun)
|
|
|
|
|
|
|
|
#define __GMP_DEFINE_COMPOUND_OPERATOR_UI(type, fun, eval_fun) \
|
|
\
|
|
inline type##_class & type##_class::fun(mpir_ui l) \
|
|
{ \
|
|
__gmp_set_expr(mp, __gmp_expr<type##_t, __gmp_binary_expr \
|
|
<type##_class, mpir_ui, eval_fun> >(*this, l)); \
|
|
return *this; \
|
|
}
|
|
|
|
#define __GMPZ_DEFINE_COMPOUND_OPERATOR_UI(fun, eval_fun) \
|
|
__GMP_DEFINE_COMPOUND_OPERATOR_UI(mpz, fun, eval_fun)
|
|
|
|
#define __GMPQ_DEFINE_COMPOUND_OPERATOR_UI(fun, eval_fun) \
|
|
__GMP_DEFINE_COMPOUND_OPERATOR_UI(mpq, fun, eval_fun)
|
|
|
|
#define __GMPF_DEFINE_COMPOUND_OPERATOR_UI(fun, eval_fun) \
|
|
__GMP_DEFINE_COMPOUND_OPERATOR_UI(mpf, fun, eval_fun)
|
|
|
|
|
|
|
|
#define __GMP_DEFINE_INCREMENT_OPERATOR(type, fun, eval_fun) \
|
|
\
|
|
inline type##_class & type##_class::fun() \
|
|
{ \
|
|
eval_fun::eval(mp); \
|
|
return *this; \
|
|
} \
|
|
\
|
|
inline type##_class type##_class::fun(int) \
|
|
{ \
|
|
type##_class temp(*this); \
|
|
eval_fun::eval(mp); \
|
|
return temp; \
|
|
}
|
|
|
|
#define __GMPZ_DEFINE_INCREMENT_OPERATOR(fun, eval_fun) \
|
|
__GMP_DEFINE_INCREMENT_OPERATOR(mpz, fun, eval_fun)
|
|
|
|
#define __GMPQ_DEFINE_INCREMENT_OPERATOR(fun, eval_fun) \
|
|
__GMP_DEFINE_INCREMENT_OPERATOR(mpq, fun, eval_fun)
|
|
|
|
#define __GMPF_DEFINE_INCREMENT_OPERATOR(fun, eval_fun) \
|
|
__GMP_DEFINE_INCREMENT_OPERATOR(mpf, fun, eval_fun)
|
|
|
|
|
|
|
|
/**************** Arithmetic operators and functions ****************/
|
|
|
|
// non-member operators and functions
|
|
|
|
__GMP_DEFINE_UNARY_FUNCTION(operator+, __gmp_unary_plus)
|
|
__GMP_DEFINE_UNARY_FUNCTION(operator-, __gmp_unary_minus)
|
|
__GMP_DEFINE_UNARY_FUNCTION(operator~, __gmp_unary_com)
|
|
|
|
__GMP_DEFINE_BINARY_FUNCTION(operator+, __gmp_binary_plus)
|
|
__GMP_DEFINE_BINARY_FUNCTION(operator-, __gmp_binary_minus)
|
|
__GMP_DEFINE_BINARY_FUNCTION(operator*, __gmp_binary_multiplies)
|
|
__GMP_DEFINE_BINARY_FUNCTION(operator/, __gmp_binary_divides)
|
|
__GMP_DEFINE_BINARY_FUNCTION(operator%, __gmp_binary_modulus)
|
|
__GMP_DEFINE_BINARY_FUNCTION(operator&, __gmp_binary_and)
|
|
__GMP_DEFINE_BINARY_FUNCTION(operator|, __gmp_binary_ior)
|
|
__GMP_DEFINE_BINARY_FUNCTION(operator^, __gmp_binary_xor)
|
|
|
|
__GMP_DEFINE_BINARY_FUNCTION_UI(operator<<, __gmp_binary_lshift)
|
|
__GMP_DEFINE_BINARY_FUNCTION_UI(operator>>, __gmp_binary_rshift)
|
|
|
|
__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator==, __gmp_binary_equal)
|
|
__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator!=, ! __gmp_binary_equal)
|
|
__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator<, __gmp_binary_less)
|
|
__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator<=, ! __gmp_binary_greater)
|
|
__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator>, __gmp_binary_greater)
|
|
__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator>=, ! __gmp_binary_less)
|
|
|
|
__GMP_DEFINE_UNARY_FUNCTION(abs, __gmp_abs_function)
|
|
__GMP_DEFINE_UNARY_FUNCTION(trunc, __gmp_trunc_function)
|
|
__GMP_DEFINE_UNARY_FUNCTION(floor, __gmp_floor_function)
|
|
__GMP_DEFINE_UNARY_FUNCTION(ceil, __gmp_ceil_function)
|
|
__GMP_DEFINE_UNARY_FUNCTION(sqrt, __gmp_sqrt_function)
|
|
__GMP_DEFINE_BINARY_FUNCTION(hypot, __gmp_hypot_function)
|
|
|
|
__GMP_DEFINE_UNARY_TYPE_FUNCTION(int, sgn, __gmp_sgn_function)
|
|
__GMP_DEFINE_BINARY_TYPE_FUNCTION(int, cmp, __gmp_cmp_function)
|
|
|
|
template <class T>
|
|
void swap(__gmp_expr<T, T>& x, __gmp_expr<T, T>& y) __GMPXX_NOEXCEPT
|
|
{ x.swap(y); }
|
|
|
|
// member operators for mpz_class
|
|
|
|
__GMPZ_DEFINE_COMPOUND_OPERATOR(operator+=, __gmp_binary_plus)
|
|
__GMPZ_DEFINE_COMPOUND_OPERATOR(operator-=, __gmp_binary_minus)
|
|
__GMPZ_DEFINE_COMPOUND_OPERATOR(operator*=, __gmp_binary_multiplies)
|
|
__GMPZ_DEFINE_COMPOUND_OPERATOR(operator/=, __gmp_binary_divides)
|
|
__GMPZ_DEFINE_COMPOUND_OPERATOR(operator%=, __gmp_binary_modulus)
|
|
|
|
__GMPZ_DEFINE_COMPOUND_OPERATOR(operator&=, __gmp_binary_and)
|
|
__GMPZ_DEFINE_COMPOUND_OPERATOR(operator|=, __gmp_binary_ior)
|
|
__GMPZ_DEFINE_COMPOUND_OPERATOR(operator^=, __gmp_binary_xor)
|
|
|
|
__GMPZ_DEFINE_COMPOUND_OPERATOR_UI(operator<<=, __gmp_binary_lshift)
|
|
__GMPZ_DEFINE_COMPOUND_OPERATOR_UI(operator>>=, __gmp_binary_rshift)
|
|
|
|
__GMPZ_DEFINE_INCREMENT_OPERATOR(operator++, __gmp_unary_increment)
|
|
__GMPZ_DEFINE_INCREMENT_OPERATOR(operator--, __gmp_unary_decrement)
|
|
|
|
// member operators for mpq_class
|
|
|
|
__GMPQ_DEFINE_COMPOUND_OPERATOR(operator+=, __gmp_binary_plus)
|
|
__GMPQ_DEFINE_COMPOUND_OPERATOR(operator-=, __gmp_binary_minus)
|
|
__GMPQ_DEFINE_COMPOUND_OPERATOR(operator*=, __gmp_binary_multiplies)
|
|
__GMPQ_DEFINE_COMPOUND_OPERATOR(operator/=, __gmp_binary_divides)
|
|
|
|
__GMPQ_DEFINE_COMPOUND_OPERATOR_UI(operator<<=, __gmp_binary_lshift)
|
|
__GMPQ_DEFINE_COMPOUND_OPERATOR_UI(operator>>=, __gmp_binary_rshift)
|
|
|
|
__GMPQ_DEFINE_INCREMENT_OPERATOR(operator++, __gmp_unary_increment)
|
|
__GMPQ_DEFINE_INCREMENT_OPERATOR(operator--, __gmp_unary_decrement)
|
|
|
|
// member operators for mpf_class
|
|
|
|
__GMPF_DEFINE_COMPOUND_OPERATOR(operator+=, __gmp_binary_plus)
|
|
__GMPF_DEFINE_COMPOUND_OPERATOR(operator-=, __gmp_binary_minus)
|
|
__GMPF_DEFINE_COMPOUND_OPERATOR(operator*=, __gmp_binary_multiplies)
|
|
__GMPF_DEFINE_COMPOUND_OPERATOR(operator/=, __gmp_binary_divides)
|
|
|
|
__GMPF_DEFINE_COMPOUND_OPERATOR_UI(operator<<=, __gmp_binary_lshift)
|
|
__GMPF_DEFINE_COMPOUND_OPERATOR_UI(operator>>=, __gmp_binary_rshift)
|
|
|
|
__GMPF_DEFINE_INCREMENT_OPERATOR(operator++, __gmp_unary_increment)
|
|
__GMPF_DEFINE_INCREMENT_OPERATOR(operator--, __gmp_unary_decrement)
|
|
|
|
|
|
|
|
/**************** Class wrapper for gmp_randstate_t ****************/
|
|
|
|
class __gmp_urandomb_value { };
|
|
class __gmp_urandomm_value { };
|
|
|
|
template <>
|
|
class __gmp_expr<mpz_t, __gmp_urandomb_value>
|
|
{
|
|
private:
|
|
__gmp_randstate_struct *state;
|
|
mp_bitcnt_t bits;
|
|
public:
|
|
__gmp_expr(gmp_randstate_t s, mp_bitcnt_t l) : state(s), bits(l) { }
|
|
void eval(mpz_ptr z) const { __gmp_rand_function::eval(z, state, bits); }
|
|
mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); }
|
|
};
|
|
|
|
template <>
|
|
class __gmp_expr<mpz_t, __gmp_urandomm_value>
|
|
{
|
|
private:
|
|
__gmp_randstate_struct *state;
|
|
mpz_class range;
|
|
public:
|
|
__gmp_expr(gmp_randstate_t s, const mpz_class &z) : state(s), range(z) { }
|
|
void eval(mpz_ptr z) const
|
|
{ __gmp_rand_function::eval(z, state, range.get_mpz_t()); }
|
|
mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); }
|
|
};
|
|
|
|
template <>
|
|
class __gmp_expr<mpf_t, __gmp_urandomb_value>
|
|
{
|
|
private:
|
|
__gmp_randstate_struct *state;
|
|
mp_bitcnt_t bits;
|
|
public:
|
|
__gmp_expr(gmp_randstate_t s, mp_bitcnt_t l) : state(s), bits(l) { }
|
|
void eval(mpf_ptr f) const
|
|
{
|
|
__gmp_rand_function::eval(f, state,
|
|
(bits>0) ? bits : mpf_get_prec(f));
|
|
}
|
|
mp_bitcnt_t get_prec() const
|
|
{
|
|
if (bits == 0)
|
|
return mpf_get_default_prec();
|
|
else
|
|
return bits;
|
|
}
|
|
};
|
|
|
|
extern "C" {
|
|
typedef void __gmp_randinit_default_t (gmp_randstate_t);
|
|
typedef void __gmp_randinit_lc_2exp_t (gmp_randstate_t, mpz_srcptr, mpir_ui, mp_bitcnt_t);
|
|
typedef int __gmp_randinit_lc_2exp_size_t (gmp_randstate_t, mp_bitcnt_t);
|
|
}
|
|
|
|
class gmp_randclass
|
|
{
|
|
private:
|
|
gmp_randstate_t state;
|
|
|
|
// copy construction and assignment not allowed
|
|
gmp_randclass(const gmp_randclass &);
|
|
void operator=(const gmp_randclass &);
|
|
public:
|
|
// constructors and destructor
|
|
gmp_randclass(gmp_randalg_t alg, mp_bitcnt_t size)
|
|
{
|
|
switch (alg)
|
|
{
|
|
case GMP_RAND_ALG_LC: // no other cases for now
|
|
default:
|
|
gmp_randinit(state, alg, size);
|
|
break;
|
|
}
|
|
}
|
|
|
|
// gmp_randinit_default
|
|
gmp_randclass(__gmp_randinit_default_t* f) { f(state); }
|
|
|
|
// gmp_randinit_lc_2exp
|
|
gmp_randclass(__gmp_randinit_lc_2exp_t* f,
|
|
mpz_class z, mpir_ui l1, mp_bitcnt_t l2)
|
|
{ f(state, z.get_mpz_t(), l1, l2); }
|
|
|
|
// gmp_randinit_lc_2exp_size
|
|
gmp_randclass(__gmp_randinit_lc_2exp_size_t* f,
|
|
mp_bitcnt_t size)
|
|
{
|
|
if (f (state, size) == 0)
|
|
throw std::length_error ("gmp_randinit_lc_2exp_size");
|
|
}
|
|
|
|
~gmp_randclass() { gmp_randclear(state); }
|
|
|
|
// initialize
|
|
void seed(); // choose a random seed some way (?)
|
|
void seed(mpir_ui s) { gmp_randseed_ui(state, s); }
|
|
void seed(const mpz_class &z) { gmp_randseed(state, z.get_mpz_t()); }
|
|
|
|
// get random number
|
|
__gmp_expr<mpz_t, __gmp_urandomb_value> get_z_bits(mp_bitcnt_t l)
|
|
{ return __gmp_expr<mpz_t, __gmp_urandomb_value>(state, l); }
|
|
__gmp_expr<mpz_t, __gmp_urandomb_value> get_z_bits(const mpz_class &z)
|
|
{ return get_z_bits(z.get_ui()); }
|
|
// FIXME: z.get_bitcnt_t() ?
|
|
|
|
__gmp_expr<mpz_t, __gmp_urandomm_value> get_z_range(const mpz_class &z)
|
|
{ return __gmp_expr<mpz_t, __gmp_urandomm_value>(state, z); }
|
|
|
|
__gmp_expr<mpf_t, __gmp_urandomb_value> get_f(mp_bitcnt_t prec = 0)
|
|
{ return __gmp_expr<mpf_t, __gmp_urandomb_value>(state, prec); }
|
|
};
|
|
|
|
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/**************** Specialize std::numeric_limits ****************/
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namespace std {
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template <> class numeric_limits<mpz_class>
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{
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public:
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static const bool is_specialized = true;
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static mpz_class min() { return mpz_class(); }
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static mpz_class max() { return mpz_class(); }
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static mpz_class lowest() { return mpz_class(); }
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static const int digits = 0;
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static const int digits10 = 0;
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static const int max_digits10 = 0;
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static const bool is_signed = true;
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static const bool is_integer = true;
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static const bool is_exact = true;
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static const int radix = 2;
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static mpz_class epsilon() { return mpz_class(); }
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static mpz_class round_error() { return mpz_class(); }
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static const int min_exponent = 0;
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static const int min_exponent10 = 0;
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static const int max_exponent = 0;
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static const int max_exponent10 = 0;
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static const bool has_infinity = false;
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static const bool has_quiet_NaN = false;
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static const bool has_signaling_NaN = false;
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static const float_denorm_style has_denorm = denorm_absent;
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static const bool has_denorm_loss = false;
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static mpz_class infinity() { return mpz_class(); }
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static mpz_class quiet_NaN() { return mpz_class(); }
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static mpz_class signaling_NaN() { return mpz_class(); }
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static mpz_class denorm_min() { return mpz_class(); }
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static const bool is_iec559 = false;
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static const bool is_bounded = false;
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static const bool is_modulo = false;
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static const bool traps = false;
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static const bool tinyness_before = false;
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static const float_round_style round_style = round_toward_zero;
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};
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template <> class numeric_limits<mpq_class>
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{
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public:
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static const bool is_specialized = true;
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static mpq_class min() { return mpq_class(); }
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static mpq_class max() { return mpq_class(); }
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static mpq_class lowest() { return mpq_class(); }
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static const int digits = 0;
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static const int digits10 = 0;
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static const int max_digits10 = 0;
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static const bool is_signed = true;
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static const bool is_integer = false;
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static const bool is_exact = true;
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static const int radix = 2;
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static mpq_class epsilon() { return mpq_class(); }
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static mpq_class round_error() { return mpq_class(); }
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static const int min_exponent = 0;
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static const int min_exponent10 = 0;
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static const int max_exponent = 0;
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static const int max_exponent10 = 0;
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static const bool has_infinity = false;
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static const bool has_quiet_NaN = false;
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static const bool has_signaling_NaN = false;
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static const float_denorm_style has_denorm = denorm_absent;
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static const bool has_denorm_loss = false;
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static mpq_class infinity() { return mpq_class(); }
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static mpq_class quiet_NaN() { return mpq_class(); }
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static mpq_class signaling_NaN() { return mpq_class(); }
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static mpq_class denorm_min() { return mpq_class(); }
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static const bool is_iec559 = false;
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static const bool is_bounded = false;
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static const bool is_modulo = false;
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static const bool traps = false;
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static const bool tinyness_before = false;
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static const float_round_style round_style = round_toward_zero;
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};
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template <> class numeric_limits<mpf_class>
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{
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public:
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static const bool is_specialized = true;
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static mpf_class min() { return mpf_class(); }
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static mpf_class max() { return mpf_class(); }
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static mpf_class lowest() { return mpf_class(); }
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static const int digits = 0;
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static const int digits10 = 0;
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static const int max_digits10 = 0;
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static const bool is_signed = true;
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static const bool is_integer = false;
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static const bool is_exact = false;
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static const int radix = 2;
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static mpf_class epsilon() { return mpf_class(); }
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static mpf_class round_error() { return mpf_class(); }
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static const int min_exponent = 0;
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static const int min_exponent10 = 0;
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static const int max_exponent = 0;
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static const int max_exponent10 = 0;
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static const bool has_infinity = false;
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static const bool has_quiet_NaN = false;
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static const bool has_signaling_NaN = false;
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static const float_denorm_style has_denorm = denorm_absent;
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static const bool has_denorm_loss = false;
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static mpf_class infinity() { return mpf_class(); }
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static mpf_class quiet_NaN() { return mpf_class(); }
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static mpf_class signaling_NaN() { return mpf_class(); }
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static mpf_class denorm_min() { return mpf_class(); }
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static const bool is_iec559 = false;
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static const bool is_bounded = false;
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static const bool is_modulo = false;
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static const bool traps = false;
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static const bool tinyness_before = false;
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static const float_round_style round_style = round_indeterminate;
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};
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}
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/**************** #undef all private macros ****************/
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#undef __GMPP_DECLARE_COMPOUND_OPERATOR
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#undef __GMPN_DECLARE_COMPOUND_OPERATOR
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#undef __GMP_DECLARE_COMPOUND_OPERATOR
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#undef __GMP_DECLARE_COMPOUND_OPERATOR_UI
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#undef __GMP_DECLARE_INCREMENT_OPERATOR
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#undef __GMPZQ_DEFINE_EXPR
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#undef __GMP_DEFINE_UNARY_FUNCTION
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#undef __GMP_DEFINE_UNARY_TYPE_FUNCTION
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#undef __GMPP_DEFINE_BINARY_FUNCTION
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#undef __GMPNN_DEFINE_BINARY_FUNCTION
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#undef __GMPNS_DEFINE_BINARY_FUNCTION
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#undef __GMPNU_DEFINE_BINARY_FUNCTION
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#undef __GMPND_DEFINE_BINARY_FUNCTION
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#undef __GMPNLD_DEFINE_BINARY_FUNCTION
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#undef __GMPN_DEFINE_BINARY_FUNCTION
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#undef __GMP_DEFINE_BINARY_FUNCTION
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#undef __GMP_DEFINE_BINARY_FUNCTION_UI
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#undef __GMPP_DEFINE_BINARY_TYPE_FUNCTION
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#undef __GMPNN_DEFINE_BINARY_TYPE_FUNCTION
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#undef __GMPNS_DEFINE_BINARY_TYPE_FUNCTION
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#undef __GMPNU_DEFINE_BINARY_TYPE_FUNCTION
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#undef __GMPND_DEFINE_BINARY_TYPE_FUNCTION
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#undef __GMPNLD_DEFINE_BINARY_TYPE_FUNCTION
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#undef __GMPN_DEFINE_BINARY_TYPE_FUNCTION
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#undef __GMP_DEFINE_BINARY_TYPE_FUNCTION
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#undef __GMPZ_DEFINE_COMPOUND_OPERATOR
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#undef __GMPP_DEFINE_COMPOUND_OPERATOR
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#undef __GMPNN_DEFINE_COMPOUND_OPERATOR
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#undef __GMPNS_DEFINE_COMPOUND_OPERATOR
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#undef __GMPNU_DEFINE_COMPOUND_OPERATOR
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#undef __GMPND_DEFINE_COMPOUND_OPERATOR
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#undef __GMPNLD_DEFINE_COMPOUND_OPERATOR
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#undef __GMPN_DEFINE_COMPOUND_OPERATOR
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#undef __GMP_DEFINE_COMPOUND_OPERATOR
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#undef __GMPQ_DEFINE_COMPOUND_OPERATOR
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#undef __GMPF_DEFINE_COMPOUND_OPERATOR
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#undef __GMP_DEFINE_COMPOUND_OPERATOR_UI
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#undef __GMPZ_DEFINE_COMPOUND_OPERATOR_UI
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#undef __GMPQ_DEFINE_COMPOUND_OPERATOR_UI
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#undef __GMPF_DEFINE_COMPOUND_OPERATOR_UI
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#undef __GMP_DEFINE_INCREMENT_OPERATOR
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#undef __GMPZ_DEFINE_INCREMENT_OPERATOR
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#undef __GMPQ_DEFINE_INCREMENT_OPERATOR
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#undef __GMPF_DEFINE_INCREMENT_OPERATOR
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#undef __GMPXX_CONSTANT
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#endif /* __GMP_PLUSPLUS__ */
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