Add libgmp 6.2.0 to third_party
Don't build it yet. That will come in the next review.
Change-Id: Idf3266558165e5ab45f4a41c98cc8c838c8244d5
diff --git a/third_party/gmp/gmpxx.h b/third_party/gmp/gmpxx.h
new file mode 100644
index 0000000..0342116
--- /dev/null
+++ b/third_party/gmp/gmpxx.h
@@ -0,0 +1,3703 @@
+/* gmpxx.h -- C++ class wrapper for GMP types. -*- C++ -*-
+
+Copyright 2001-2003, 2006, 2008, 2011-2015, 2018 Free Software
+Foundation, Inc.
+
+This file is part of the GNU MP Library.
+
+The GNU MP Library is free software; you can redistribute it and/or modify
+it under the terms of either:
+
+ * the GNU Lesser General Public License as published by the Free
+ Software Foundation; either version 3 of the License, or (at your
+ option) any later version.
+
+or
+
+ * the GNU General Public License as published by the Free Software
+ Foundation; either version 2 of the License, or (at your option) any
+ later version.
+
+or both in parallel, as here.
+
+The GNU MP Library is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received copies of the GNU General Public License and the
+GNU Lesser General Public License along with the GNU MP Library. If not,
+see https://www.gnu.org/licenses/. */
+
+#ifndef __GMP_PLUSPLUS__
+#define __GMP_PLUSPLUS__
+
+#include <iosfwd>
+
+#include <cstring> /* for strlen */
+#include <limits> /* numeric_limits */
+#include <utility>
+#include <algorithm> /* swap */
+#include <string>
+#include <stdexcept>
+#include <cfloat>
+#include <gmp.h>
+
+// wrapper for gcc's __builtin_constant_p
+// __builtin_constant_p has been in gcc since forever,
+// but g++-3.4 miscompiles it.
+#if __GMP_GNUC_PREREQ(4, 2)
+#define __GMPXX_CONSTANT(X) __builtin_constant_p(X)
+#else
+#define __GMPXX_CONSTANT(X) false
+#endif
+#define __GMPXX_CONSTANT_TRUE(X) (__GMPXX_CONSTANT(X) && (X))
+
+// Use C++11 features
+#ifndef __GMPXX_USE_CXX11
+#if __cplusplus >= 201103L
+#define __GMPXX_USE_CXX11 1
+#else
+#define __GMPXX_USE_CXX11 0
+#endif
+#endif
+
+#if __GMPXX_USE_CXX11
+#define __GMPXX_NOEXCEPT noexcept
+#include <type_traits> // for common_type
+#else
+#define __GMPXX_NOEXCEPT
+#endif
+
+// Max allocations for plain types when converted to GMP types
+#if GMP_NAIL_BITS != 0 && ! defined _LONG_LONG_LIMB
+#define __GMPZ_ULI_LIMBS 2
+#else
+#define __GMPZ_ULI_LIMBS 1
+#endif
+
+#define __GMPXX_BITS_TO_LIMBS(n) (((n) + (GMP_NUMB_BITS - 1)) / GMP_NUMB_BITS)
+#define __GMPZ_DBL_LIMBS __GMPXX_BITS_TO_LIMBS(DBL_MAX_EXP)+1
+#define __GMPQ_NUM_DBL_LIMBS __GMPZ_DBL_LIMBS
+#define __GMPQ_DEN_DBL_LIMBS __GMPXX_BITS_TO_LIMBS(DBL_MANT_DIG+1-DBL_MIN_EXP)+1
+// The final +1s are a security margin. The current implementation of
+// mpq_set_d seems to need it for the denominator.
+
+inline void __mpz_set_ui_safe(mpz_ptr p, unsigned long l)
+{
+ p->_mp_size = (l != 0);
+ p->_mp_d[0] = l & GMP_NUMB_MASK;
+#if __GMPZ_ULI_LIMBS > 1
+ l >>= GMP_NUMB_BITS;
+ p->_mp_d[1] = l;
+ p->_mp_size += (l != 0);
+#endif
+}
+
+inline void __mpz_set_si_safe(mpz_ptr p, long l)
+{
+ if(l < 0)
+ {
+ __mpz_set_ui_safe(p, -static_cast<unsigned long>(l));
+ mpz_neg(p, p);
+ }
+ else
+ __mpz_set_ui_safe(p, l);
+ // Note: we know the high bit of l is 0 so we could do slightly better
+}
+
+// Fake temporary variables
+#define __GMPXX_TMPZ_UI \
+ mpz_t temp; \
+ mp_limb_t limbs[__GMPZ_ULI_LIMBS]; \
+ temp->_mp_d = limbs; \
+ __mpz_set_ui_safe (temp, l)
+#define __GMPXX_TMPZ_SI \
+ mpz_t temp; \
+ mp_limb_t limbs[__GMPZ_ULI_LIMBS]; \
+ temp->_mp_d = limbs; \
+ __mpz_set_si_safe (temp, l)
+#define __GMPXX_TMPZ_D \
+ mpz_t temp; \
+ mp_limb_t limbs[__GMPZ_DBL_LIMBS]; \
+ temp->_mp_d = limbs; \
+ temp->_mp_alloc = __GMPZ_DBL_LIMBS; \
+ mpz_set_d (temp, d)
+
+#define __GMPXX_TMPQ_UI \
+ mpq_t temp; \
+ mp_limb_t limbs[__GMPZ_ULI_LIMBS+1]; \
+ mpq_numref(temp)->_mp_d = limbs; \
+ __mpz_set_ui_safe (mpq_numref(temp), l); \
+ mpq_denref(temp)->_mp_d = limbs + __GMPZ_ULI_LIMBS; \
+ mpq_denref(temp)->_mp_size = 1; \
+ mpq_denref(temp)->_mp_d[0] = 1
+#define __GMPXX_TMPQ_SI \
+ mpq_t temp; \
+ mp_limb_t limbs[__GMPZ_ULI_LIMBS+1]; \
+ mpq_numref(temp)->_mp_d = limbs; \
+ __mpz_set_si_safe (mpq_numref(temp), l); \
+ mpq_denref(temp)->_mp_d = limbs + __GMPZ_ULI_LIMBS; \
+ mpq_denref(temp)->_mp_size = 1; \
+ mpq_denref(temp)->_mp_d[0] = 1
+#define __GMPXX_TMPQ_D \
+ mpq_t temp; \
+ mp_limb_t limbs[__GMPQ_NUM_DBL_LIMBS + __GMPQ_DEN_DBL_LIMBS]; \
+ mpq_numref(temp)->_mp_d = limbs; \
+ mpq_numref(temp)->_mp_alloc = __GMPQ_NUM_DBL_LIMBS; \
+ mpq_denref(temp)->_mp_d = limbs + __GMPQ_NUM_DBL_LIMBS; \
+ mpq_denref(temp)->_mp_alloc = __GMPQ_DEN_DBL_LIMBS; \
+ mpq_set_d (temp, d)
+
+inline unsigned long __gmpxx_abs_ui (signed long l)
+{
+ return l >= 0 ? static_cast<unsigned long>(l)
+ : -static_cast<unsigned long>(l);
+}
+
+/**************** Function objects ****************/
+/* Any evaluation of a __gmp_expr ends up calling one of these functions
+ all intermediate functions being inline, the evaluation should optimize
+ to a direct call to the relevant function, thus yielding no overhead
+ over the C interface. */
+
+struct __gmp_unary_plus
+{
+ static void eval(mpz_ptr z, mpz_srcptr w) { mpz_set(z, w); }
+ static void eval(mpq_ptr q, mpq_srcptr r) { mpq_set(q, r); }
+ static void eval(mpf_ptr f, mpf_srcptr g) { mpf_set(f, g); }
+};
+
+struct __gmp_unary_minus
+{
+ static void eval(mpz_ptr z, mpz_srcptr w) { mpz_neg(z, w); }
+ static void eval(mpq_ptr q, mpq_srcptr r) { mpq_neg(q, r); }
+ static void eval(mpf_ptr f, mpf_srcptr g) { mpf_neg(f, g); }
+};
+
+struct __gmp_unary_com
+{
+ static void eval(mpz_ptr z, mpz_srcptr w) { mpz_com(z, w); }
+};
+
+struct __gmp_binary_plus
+{
+ static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v)
+ { mpz_add(z, w, v); }
+
+ static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l)
+ {
+ // Ideally, those checks should happen earlier so that the tree
+ // generated for a+0+b would just be sum(a,b).
+ if (__GMPXX_CONSTANT(l) && l == 0)
+ {
+ if (z != w) mpz_set(z, w);
+ }
+ else
+ mpz_add_ui(z, w, l);
+ }
+ static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w)
+ { eval(z, w, l); }
+ static void eval(mpz_ptr z, mpz_srcptr w, signed long int l)
+ {
+ if (l >= 0)
+ eval(z, w, static_cast<unsigned long>(l));
+ else
+ mpz_sub_ui(z, w, -static_cast<unsigned long>(l));
+ }
+ static void eval(mpz_ptr z, signed long int l, mpz_srcptr w)
+ { eval(z, w, l); }
+ static void eval(mpz_ptr z, mpz_srcptr w, double d)
+ { __GMPXX_TMPZ_D; mpz_add (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_add(q, r, s); }
+
+ static void eval(mpq_ptr q, mpq_srcptr r, unsigned long int l)
+ {
+ if (__GMPXX_CONSTANT(l) && l == 0)
+ {
+ if (q != r) mpq_set(q, r);
+ }
+ else if (__GMPXX_CONSTANT(l) && l == 1)
+ {
+ mpz_add (mpq_numref(q), mpq_numref(r), mpq_denref(r));
+ if (q != r) mpz_set(mpq_denref(q), mpq_denref(r));
+ }
+ else
+ {
+ if (q == r)
+ mpz_addmul_ui(mpq_numref(q), mpq_denref(q), l);
+ else
+ {
+ mpz_mul_ui(mpq_numref(q), mpq_denref(r), l);
+ mpz_add(mpq_numref(q), mpq_numref(q), mpq_numref(r));
+ mpz_set(mpq_denref(q), mpq_denref(r));
+ }
+ }
+ }
+ static void eval(mpq_ptr q, unsigned long int l, mpq_srcptr r)
+ { eval(q, r, l); }
+ static inline void eval(mpq_ptr q, mpq_srcptr r, signed long int l);
+ // defined after __gmp_binary_minus
+ static void eval(mpq_ptr q, signed long int l, mpq_srcptr r)
+ { eval(q, r, l); }
+ static void eval(mpq_ptr q, mpq_srcptr r, double d)
+ { __GMPXX_TMPQ_D; mpq_add (q, r, temp); }
+ static void eval(mpq_ptr q, double d, mpq_srcptr r)
+ { eval(q, r, d); }
+
+ static void eval(mpq_ptr q, mpq_srcptr r, mpz_srcptr z)
+ {
+ if (q == r)
+ mpz_addmul(mpq_numref(q), mpq_denref(q), z);
+ else
+ {
+ mpz_mul(mpq_numref(q), mpq_denref(r), z);
+ mpz_add(mpq_numref(q), mpq_numref(q), mpq_numref(r));
+ mpz_set(mpq_denref(q), mpq_denref(r));
+ }
+ }
+ static void eval(mpq_ptr q, mpz_srcptr z, mpq_srcptr r)
+ { eval(q, r, z); }
+
+ static void eval(mpf_ptr f, mpf_srcptr g, mpf_srcptr h)
+ { mpf_add(f, g, h); }
+
+ static void eval(mpf_ptr f, mpf_srcptr g, unsigned long int l)
+ { mpf_add_ui(f, g, l); }
+ static void eval(mpf_ptr f, unsigned long int l, mpf_srcptr g)
+ { mpf_add_ui(f, g, l); }
+ static void eval(mpf_ptr f, mpf_srcptr g, signed long int l)
+ {
+ if (l >= 0)
+ mpf_add_ui(f, g, l);
+ else
+ mpf_sub_ui(f, g, -static_cast<unsigned long>(l));
+ }
+ static void eval(mpf_ptr f, signed long int 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_add(f, g, temp);
+ mpf_clear(temp);
+ }
+ static void eval(mpf_ptr f, double d, mpf_srcptr g)
+ { eval(f, g, d); }
+};
+
+struct __gmp_binary_minus
+{
+ static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v)
+ { mpz_sub(z, w, v); }
+
+ static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l)
+ {
+ if (__GMPXX_CONSTANT(l) && l == 0)
+ {
+ if (z != w) mpz_set(z, w);
+ }
+ else
+ mpz_sub_ui(z, w, l);
+ }
+ static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w)
+ {
+ if (__GMPXX_CONSTANT(l) && l == 0)
+ {
+ mpz_neg(z, w);
+ }
+ else
+ mpz_ui_sub(z, l, w);
+ }
+ static void eval(mpz_ptr z, mpz_srcptr w, signed long int l)
+ {
+ if (l >= 0)
+ eval(z, w, static_cast<unsigned long>(l));
+ else
+ mpz_add_ui(z, w, -static_cast<unsigned long>(l));
+ }
+ static void eval(mpz_ptr z, signed long int l, mpz_srcptr w)
+ {
+ if (l >= 0)
+ eval(z, static_cast<unsigned long>(l), w);
+ else
+ {
+ mpz_add_ui(z, w, -static_cast<unsigned long>(l));
+ mpz_neg(z, z);
+ }
+ }
+ static void eval(mpz_ptr z, mpz_srcptr w, double d)
+ { __GMPXX_TMPZ_D; mpz_sub (z, w, temp); }
+ static void eval(mpz_ptr z, double d, mpz_srcptr w)
+ { __GMPXX_TMPZ_D; mpz_sub (z, temp, w); }
+
+ static void eval(mpq_ptr q, mpq_srcptr r, mpq_srcptr s)
+ { mpq_sub(q, r, s); }
+
+ static void eval(mpq_ptr q, mpq_srcptr r, unsigned long int l)
+ {
+ if (__GMPXX_CONSTANT(l) && l == 0)
+ {
+ if (q != r) mpq_set(q, r);
+ }
+ else if (__GMPXX_CONSTANT(l) && l == 1)
+ {
+ mpz_sub (mpq_numref(q), mpq_numref(r), mpq_denref(r));
+ if (q != r) mpz_set(mpq_denref(q), mpq_denref(r));
+ }
+ else
+ {
+ if (q == r)
+ mpz_submul_ui(mpq_numref(q), mpq_denref(q), l);
+ else
+ {
+ mpz_mul_ui(mpq_numref(q), mpq_denref(r), l);
+ mpz_sub(mpq_numref(q), mpq_numref(r), mpq_numref(q));
+ mpz_set(mpq_denref(q), mpq_denref(r));
+ }
+ }
+ }
+ static void eval(mpq_ptr q, unsigned long int l, mpq_srcptr r)
+ { eval(q, r, l); mpq_neg(q, q); }
+ static void eval(mpq_ptr q, mpq_srcptr r, signed long int l)
+ {
+ if (l >= 0)
+ eval(q, r, static_cast<unsigned long>(l));
+ else
+ __gmp_binary_plus::eval(q, r, -static_cast<unsigned long>(l));
+ }
+ static void eval(mpq_ptr q, signed long int l, mpq_srcptr r)
+ { eval(q, r, l); mpq_neg(q, q); }
+ static void eval(mpq_ptr q, mpq_srcptr r, double d)
+ { __GMPXX_TMPQ_D; mpq_sub (q, r, temp); }
+ static void eval(mpq_ptr q, double d, mpq_srcptr r)
+ { __GMPXX_TMPQ_D; mpq_sub (q, temp, r); }
+
+ static void eval(mpq_ptr q, mpq_srcptr r, mpz_srcptr z)
+ {
+ if (q == r)
+ mpz_submul(mpq_numref(q), mpq_denref(q), z);
+ else
+ {
+ mpz_mul(mpq_numref(q), mpq_denref(r), z);
+ mpz_sub(mpq_numref(q), mpq_numref(r), mpq_numref(q));
+ mpz_set(mpq_denref(q), mpq_denref(r));
+ }
+ }
+ static void eval(mpq_ptr q, mpz_srcptr z, mpq_srcptr r)
+ { eval(q, r, z); mpq_neg(q, q); }
+
+ static void eval(mpf_ptr f, mpf_srcptr g, mpf_srcptr h)
+ { mpf_sub(f, g, h); }
+
+ static void eval(mpf_ptr f, mpf_srcptr g, unsigned long int l)
+ { mpf_sub_ui(f, g, l); }
+ static void eval(mpf_ptr f, unsigned long int l, mpf_srcptr g)
+ { mpf_ui_sub(f, l, g); }
+ static void eval(mpf_ptr f, mpf_srcptr g, signed long int l)
+ {
+ if (l >= 0)
+ mpf_sub_ui(f, g, l);
+ else
+ mpf_add_ui(f, g, -static_cast<unsigned long>(l));
+ }
+ static void eval(mpf_ptr f, signed long int l, mpf_srcptr g)
+ {
+ if (l >= 0)
+ mpf_sub_ui(f, g, l);
+ else
+ mpf_add_ui(f, g, -static_cast<unsigned long>(l));
+ 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_sub(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_sub(f, temp, g);
+ mpf_clear(temp);
+ }
+};
+
+// defined here so it can reference __gmp_binary_minus
+inline void
+__gmp_binary_plus::eval(mpq_ptr q, mpq_srcptr r, signed long int l)
+{
+ if (l >= 0)
+ eval(q, r, static_cast<unsigned long>(l));
+ else
+ __gmp_binary_minus::eval(q, r, -static_cast<unsigned long>(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, unsigned long int 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, unsigned long int l, mpz_srcptr w)
+ { eval(z, w, l); }
+ static void eval(mpz_ptr z, mpz_srcptr w, signed long int l)
+ {
+ if (__GMPXX_CONSTANT_TRUE(l >= 0))
+ eval(z, w, static_cast<unsigned long>(l));
+ else if (__GMPXX_CONSTANT_TRUE(l <= 0))
+ {
+ eval(z, w, -static_cast<unsigned long>(l));
+ mpz_neg(z, z);
+ }
+ else
+ mpz_mul_si (z, w, l);
+ }
+ static void eval(mpz_ptr z, signed long int 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, unsigned long int 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, unsigned long int l, mpq_srcptr r)
+ { eval(q, r, l); }
+ static void eval(mpq_ptr q, mpq_srcptr r, signed long int l)
+ {
+ if (__GMPXX_CONSTANT_TRUE(l >= 0))
+ eval(q, r, static_cast<unsigned long>(l));
+ else if (__GMPXX_CONSTANT_TRUE(l <= 0))
+ {
+ eval(q, r, -static_cast<unsigned long>(l));
+ mpq_neg(q, q);
+ }
+ else
+ {
+ __GMPXX_TMPQ_SI;
+ mpq_mul (q, r, temp);
+ }
+ }
+ static void eval(mpq_ptr q, signed long int l, mpq_srcptr r)
+ { eval(q, r, l); }
+ static void eval(mpq_ptr q, mpq_srcptr r, double d)
+ { __GMPXX_TMPQ_D; mpq_mul (q, r, 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, unsigned long int l)
+ { mpf_mul_ui(f, g, l); }
+ static void eval(mpf_ptr f, unsigned long int l, mpf_srcptr g)
+ { mpf_mul_ui(f, g, l); }
+ static void eval(mpf_ptr f, mpf_srcptr g, signed long int l)
+ {
+ if (l >= 0)
+ mpf_mul_ui(f, g, l);
+ else
+ {
+ mpf_mul_ui(f, g, -static_cast<unsigned long>(l));
+ mpf_neg(f, f);
+ }
+ }
+ static void eval(mpf_ptr f, signed long int 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, unsigned long int 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, unsigned long int l, mpz_srcptr w)
+ {
+ if (mpz_sgn(w) >= 0)
+ {
+ if (mpz_fits_ulong_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_ulong_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, signed long int l)
+ {
+ if (l >= 0)
+ eval(z, w, static_cast<unsigned long>(l));
+ else
+ {
+ eval(z, w, -static_cast<unsigned long>(l));
+ mpz_neg(z, z);
+ }
+ }
+ static void eval(mpz_ptr z, signed long int l, mpz_srcptr w)
+ {
+ if (mpz_fits_slong_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, __gmpxx_abs_ui(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, unsigned long int 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, unsigned long int l, mpq_srcptr r)
+ {
+ if (__GMPXX_CONSTANT_TRUE(l == 0))
+ mpq_set_ui(q, 0, 1);
+ else if (__GMPXX_CONSTANT_TRUE(l == 1))
+ mpq_inv(q, r);
+ else
+ {
+ __GMPXX_TMPQ_UI;
+ mpq_div (q, temp, r);
+ }
+ }
+ static void eval(mpq_ptr q, mpq_srcptr r, signed long int l)
+ {
+ if (__GMPXX_CONSTANT_TRUE(l >= 0))
+ eval(q, r, static_cast<unsigned long>(l));
+ else if (__GMPXX_CONSTANT_TRUE(l <= 0))
+ {
+ eval(q, r, -static_cast<unsigned long>(l));
+ mpq_neg(q, q);
+ }
+ else
+ {
+ __GMPXX_TMPQ_SI;
+ mpq_div (q, r, temp);
+ }
+ }
+ static void eval(mpq_ptr q, signed long int l, mpq_srcptr r)
+ {
+ if (__GMPXX_CONSTANT_TRUE(l == 0))
+ mpq_set_ui(q, 0, 1);
+ else if (__GMPXX_CONSTANT_TRUE(l == 1))
+ mpq_inv(q, r);
+ else if (__GMPXX_CONSTANT_TRUE(l == -1))
+ {
+ mpq_inv(q, r);
+ mpq_neg(q, q);
+ }
+ else
+ {
+ __GMPXX_TMPQ_SI;
+ mpq_div (q, temp, r);
+ }
+ }
+ static void eval(mpq_ptr q, mpq_srcptr r, double d)
+ { __GMPXX_TMPQ_D; mpq_div (q, r, temp); }
+ static void eval(mpq_ptr q, double d, mpq_srcptr r)
+ { __GMPXX_TMPQ_D; mpq_div (q, temp, r); }
+
+ 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, unsigned long int l)
+ { mpf_div_ui(f, g, l); }
+ static void eval(mpf_ptr f, unsigned long int l, mpf_srcptr g)
+ { mpf_ui_div(f, l, g); }
+ static void eval(mpf_ptr f, mpf_srcptr g, signed long int l)
+ {
+ if (l >= 0)
+ mpf_div_ui(f, g, l);
+ else
+ {
+ mpf_div_ui(f, g, -static_cast<unsigned long>(l));
+ mpf_neg(f, f);
+ }
+ }
+ static void eval(mpf_ptr f, signed long int l, mpf_srcptr g)
+ {
+ if (l >= 0)
+ mpf_ui_div(f, l, g);
+ else
+ {
+ mpf_ui_div(f, -static_cast<unsigned long>(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, unsigned long int l)
+ { mpz_tdiv_r_ui(z, w, l); }
+ static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w)
+ {
+ if (mpz_sgn(w) >= 0)
+ {
+ if (mpz_fits_ulong_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_ulong_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, signed long int l)
+ {
+ mpz_tdiv_r_ui (z, w, __gmpxx_abs_ui(l));
+ }
+ static void eval(mpz_ptr z, signed long int l, mpz_srcptr w)
+ {
+ if (mpz_fits_slong_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, __gmpxx_abs_ui(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, unsigned long int l)
+ { __GMPXX_TMPZ_UI; mpz_and (z, w, temp); }
+ static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w)
+ { eval(z, w, l); }
+ static void eval(mpz_ptr z, mpz_srcptr w, signed long int l)
+ { __GMPXX_TMPZ_SI; mpz_and (z, w, temp); }
+ static void eval(mpz_ptr z, signed long int 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, unsigned long int l)
+ { __GMPXX_TMPZ_UI; mpz_ior (z, w, temp); }
+ static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w)
+ { eval(z, w, l); }
+ static void eval(mpz_ptr z, mpz_srcptr w, signed long int l)
+ { __GMPXX_TMPZ_SI; mpz_ior (z, w, temp); }
+ static void eval(mpz_ptr z, signed long int 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, unsigned long int l)
+ { __GMPXX_TMPZ_UI; mpz_xor (z, w, temp); }
+ static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w)
+ { eval(z, w, l); }
+ static void eval(mpz_ptr z, mpz_srcptr w, signed long int l)
+ { __GMPXX_TMPZ_SI; mpz_xor (z, w, temp); }
+ static void eval(mpz_ptr z, signed long int 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_cmp_function
+{
+ static int eval(mpz_srcptr z, mpz_srcptr w) { return mpz_cmp(z, w); }
+
+ static int eval(mpz_srcptr z, unsigned long int l)
+ { return mpz_cmp_ui(z, l); }
+ static int eval(unsigned long int l, mpz_srcptr z)
+ { return -mpz_cmp_ui(z, l); }
+ static int eval(mpz_srcptr z, signed long int l)
+ { return mpz_cmp_si(z, l); }
+ static int eval(signed long int 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, unsigned long int l)
+ { return mpq_cmp_ui(q, l, 1); }
+ static int eval(unsigned long int l, mpq_srcptr q)
+ { return -mpq_cmp_ui(q, l, 1); }
+ static int eval(mpq_srcptr q, signed long int l)
+ { return mpq_cmp_si(q, l, 1); }
+ static int eval(signed long int l, mpq_srcptr q)
+ { return -mpq_cmp_si(q, l, 1); }
+ static int eval(mpq_srcptr q, double d)
+ { __GMPXX_TMPQ_D; return mpq_cmp (q, temp); }
+ static int eval(double d, mpq_srcptr q)
+ { __GMPXX_TMPQ_D; return mpq_cmp (temp, q); }
+ static int eval(mpq_srcptr q, mpz_srcptr z)
+ { return mpq_cmp_z(q, z); }
+ static int eval(mpz_srcptr z, mpq_srcptr q)
+ { return -mpq_cmp_z(q, z); }
+
+ static int eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g); }
+
+ static int eval(mpf_srcptr f, unsigned long int l)
+ { return mpf_cmp_ui(f, l); }
+ static int eval(unsigned long int l, mpf_srcptr f)
+ { return -mpf_cmp_ui(f, l); }
+ static int eval(mpf_srcptr f, signed long int l)
+ { return mpf_cmp_si(f, l); }
+ static int eval(signed long int 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); }
+ static int eval(mpf_srcptr f, mpz_srcptr z)
+ { return mpf_cmp_z(f, z); }
+ static int eval(mpz_srcptr z, mpf_srcptr f)
+ { return -mpf_cmp_z(f, z); }
+ static int eval(mpf_srcptr f, mpq_srcptr q)
+ {
+ mpf_t qf;
+ mpf_init(qf); /* Should we use the precision of f? */
+ mpf_set_q(qf, q);
+ int ret = eval(f, qf);
+ mpf_clear(qf);
+ return ret;
+ }
+ static int eval(mpq_srcptr q, mpf_srcptr f)
+ { return -eval(f, q); }
+};
+
+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, unsigned long int l)
+ { return mpz_cmp_ui(z, l) == 0; }
+ static bool eval(unsigned long int l, mpz_srcptr z)
+ { return eval(z, l); }
+ static bool eval(mpz_srcptr z, signed long int l)
+ { return mpz_cmp_si(z, l) == 0; }
+ static bool eval(signed long int l, mpz_srcptr z)
+ { return eval(z, l); }
+ static bool eval(mpz_srcptr z, double d)
+ { return mpz_cmp_d(z, d) == 0; }
+ static bool eval(double d, mpz_srcptr z)
+ { return eval(z, d); }
+
+ static bool eval(mpq_srcptr q, mpq_srcptr r)
+ { return mpq_equal(q, r) != 0; }
+
+ static bool eval(mpq_srcptr q, unsigned long int l)
+ { return ((__GMPXX_CONSTANT(l) && l == 0) ||
+ mpz_cmp_ui(mpq_denref(q), 1) == 0) &&
+ mpz_cmp_ui(mpq_numref(q), l) == 0; }
+ static bool eval(unsigned long int l, mpq_srcptr q)
+ { return eval(q, l); }
+ static bool eval(mpq_srcptr q, signed long int l)
+ { return ((__GMPXX_CONSTANT(l) && l == 0) ||
+ mpz_cmp_ui(mpq_denref(q), 1) == 0) &&
+ mpz_cmp_si(mpq_numref(q), l) == 0; }
+ static bool eval(signed long int l, mpq_srcptr q)
+ { return eval(q, l); }
+ static bool eval(mpq_srcptr q, double d)
+ { __GMPXX_TMPQ_D; return mpq_equal (q, temp) != 0; }
+ static bool eval(double d, mpq_srcptr q)
+ { return eval(q, d); }
+ static bool eval(mpq_srcptr q, mpz_srcptr z)
+ { return mpz_cmp_ui(mpq_denref(q), 1) == 0 && mpz_cmp(mpq_numref(q), z) == 0; }
+ static bool eval(mpz_srcptr z, mpq_srcptr q)
+ { return eval(q, z); }
+
+ static bool eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g) == 0; }
+
+ static bool eval(mpf_srcptr f, unsigned long int l)
+ { return mpf_cmp_ui(f, l) == 0; }
+ static bool eval(unsigned long int l, mpf_srcptr f)
+ { return eval(f, l); }
+ static bool eval(mpf_srcptr f, signed long int l)
+ { return mpf_cmp_si(f, l) == 0; }
+ static bool eval(signed long int l, mpf_srcptr f)
+ { return eval(f, l); }
+ static bool eval(mpf_srcptr f, double d)
+ { return mpf_cmp_d(f, d) == 0; }
+ static bool eval(double d, mpf_srcptr f)
+ { return eval(f, d); }
+ static bool eval(mpf_srcptr f, mpz_srcptr z)
+ { return mpf_cmp_z(f, z) == 0; }
+ static bool eval(mpz_srcptr z, mpf_srcptr f)
+ { return eval(f, z); }
+ static bool eval(mpf_srcptr f, mpq_srcptr q)
+ { return __gmp_cmp_function::eval(f, q) == 0; }
+ static bool eval(mpq_srcptr q, mpf_srcptr f)
+ { return eval(f, q); }
+};
+
+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, unsigned long int l)
+ { return mpz_cmp_ui(z, l) < 0; }
+ static bool eval(unsigned long int l, mpz_srcptr z)
+ { return mpz_cmp_ui(z, l) > 0; }
+ static bool eval(mpz_srcptr z, signed long int l)
+ { return mpz_cmp_si(z, l) < 0; }
+ static bool eval(signed long int 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, unsigned long int l)
+ { return mpq_cmp_ui(q, l, 1) < 0; }
+ static bool eval(unsigned long int l, mpq_srcptr q)
+ { return mpq_cmp_ui(q, l, 1) > 0; }
+ static bool eval(mpq_srcptr q, signed long int l)
+ { return mpq_cmp_si(q, l, 1) < 0; }
+ static bool eval(signed long int l, mpq_srcptr q)
+ { return mpq_cmp_si(q, l, 1) > 0; }
+ static bool eval(mpq_srcptr q, double d)
+ { __GMPXX_TMPQ_D; return mpq_cmp (q, temp) < 0; }
+ static bool eval(double d, mpq_srcptr q)
+ { __GMPXX_TMPQ_D; return mpq_cmp (temp, q) < 0; }
+ static bool eval(mpq_srcptr q, mpz_srcptr z)
+ { return mpq_cmp_z(q, z) < 0; }
+ static bool eval(mpz_srcptr z, mpq_srcptr q)
+ { return mpq_cmp_z(q, z) > 0; }
+
+ static bool eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g) < 0; }
+
+ static bool eval(mpf_srcptr f, unsigned long int l)
+ { return mpf_cmp_ui(f, l) < 0; }
+ static bool eval(unsigned long int l, mpf_srcptr f)
+ { return mpf_cmp_ui(f, l) > 0; }
+ static bool eval(mpf_srcptr f, signed long int l)
+ { return mpf_cmp_si(f, l) < 0; }
+ static bool eval(signed long int 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; }
+ static bool eval(mpf_srcptr f, mpz_srcptr z)
+ { return mpf_cmp_z(f, z) < 0; }
+ static bool eval(mpz_srcptr z, mpf_srcptr f)
+ { return mpf_cmp_z(f, z) > 0; }
+ static bool eval(mpf_srcptr f, mpq_srcptr q)
+ { return __gmp_cmp_function::eval(f, q) < 0; }
+ static bool eval(mpq_srcptr q, mpf_srcptr f)
+ { return __gmp_cmp_function::eval(q, f) < 0; }
+};
+
+struct __gmp_binary_greater
+{
+ template <class T, class U>
+ static inline bool eval(T t, U u) { return __gmp_binary_less::eval(u, t); }
+};
+
+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, unsigned long int l)
+ {
+ mpf_t temp;
+ mpf_init2(temp, mpf_get_prec(f));
+ mpf_mul(temp, g, g);
+ mpf_set_ui(f, l);
+ mpf_mul_ui(f, f, l);
+ mpf_add(f, f, temp);
+ mpf_clear(temp);
+ mpf_sqrt(f, f);
+ }
+ static void eval(mpf_ptr f, unsigned long int l, mpf_srcptr g)
+ { eval(f, g, l); }
+ static void eval(mpf_ptr f, mpf_srcptr g, signed long int l)
+ { eval(f, g, __gmpxx_abs_ui(l)); }
+ static void eval(mpf_ptr f, signed long int 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_gcd_function
+{
+ static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v)
+ { mpz_gcd(z, w, v); }
+ static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l)
+ { mpz_gcd_ui(z, w, l); }
+ static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w)
+ { eval(z, w, l); }
+ static void eval(mpz_ptr z, mpz_srcptr w, signed long int l)
+ { eval(z, w, __gmpxx_abs_ui(l)); }
+ static void eval(mpz_ptr z, signed long int l, mpz_srcptr w)
+ { eval(z, w, l); }
+ static void eval(mpz_ptr z, mpz_srcptr w, double d)
+ { __GMPXX_TMPZ_D; mpz_gcd (z, w, temp); }
+ static void eval(mpz_ptr z, double d, mpz_srcptr w)
+ { eval(z, w, d); }
+};
+
+struct __gmp_lcm_function
+{
+ static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v)
+ { mpz_lcm(z, w, v); }
+ static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l)
+ { mpz_lcm_ui(z, w, l); }
+ static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w)
+ { eval(z, w, l); }
+ static void eval(mpz_ptr z, mpz_srcptr w, signed long int l)
+ { eval(z, w, __gmpxx_abs_ui(l)); }
+ static void eval(mpz_ptr z, signed long int l, mpz_srcptr w)
+ { eval(z, w, l); }
+ static void eval(mpz_ptr z, mpz_srcptr w, double d)
+ { __GMPXX_TMPZ_D; mpz_lcm (z, w, temp); }
+ static void eval(mpz_ptr z, double d, mpz_srcptr w)
+ { eval(z, w, 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); }
+};
+
+struct __gmp_fac_function
+{
+ static void eval(mpz_ptr z, unsigned long l) { mpz_fac_ui(z, l); }
+ static void eval(mpz_ptr z, signed long l)
+ {
+ if (l < 0)
+ throw std::domain_error ("factorial(negative)");
+ eval(z, static_cast<unsigned long>(l));
+ }
+ static void eval(mpz_ptr z, mpz_srcptr w)
+ {
+ if (!mpz_fits_ulong_p(w))
+ {
+ if (mpz_sgn(w) < 0)
+ throw std::domain_error ("factorial(negative)");
+ else
+ throw std::bad_alloc(); // or std::overflow_error ("factorial")?
+ }
+ eval(z, mpz_get_ui(w));
+ }
+ static void eval(mpz_ptr z, double d)
+ { __GMPXX_TMPZ_D; eval (z, temp); }
+};
+
+struct __gmp_primorial_function
+{
+ static void eval(mpz_ptr z, unsigned long l) { mpz_primorial_ui(z, l); }
+ static void eval(mpz_ptr z, signed long l)
+ {
+ if (l < 0)
+ throw std::domain_error ("primorial(negative)");
+ eval(z, static_cast<unsigned long>(l));
+ }
+ static void eval(mpz_ptr z, mpz_srcptr w)
+ {
+ if (!mpz_fits_ulong_p(w))
+ {
+ if (mpz_sgn(w) < 0)
+ throw std::domain_error ("primorial(negative)");
+ else
+ throw std::bad_alloc(); // or std::overflow_error ("primorial")?
+ }
+ eval(z, mpz_get_ui(w));
+ }
+ static void eval(mpz_ptr z, double d)
+ { __GMPXX_TMPZ_D; eval (z, temp); }
+};
+
+struct __gmp_fib_function
+{
+ static void eval(mpz_ptr z, unsigned long l) { mpz_fib_ui(z, l); }
+ static void eval(mpz_ptr z, signed long l)
+ {
+ if (l < 0)
+ {
+ eval(z, -static_cast<unsigned long>(l));
+ if ((l & 1) == 0)
+ mpz_neg(z, z);
+ }
+ else
+ eval(z, static_cast<unsigned long>(l));
+ }
+ static void eval(mpz_ptr z, mpz_srcptr w)
+ {
+ if (!mpz_fits_slong_p(w))
+ throw std::bad_alloc(); // or std::overflow_error ("fibonacci")?
+ eval(z, mpz_get_si(w));
+ }
+ static void eval(mpz_ptr z, double d)
+ { __GMPXX_TMPZ_D; eval (z, temp); }
+};
+
+
+/**************** 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
+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> >
+ {
+ typedef __gmp_expr<T, T> 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
+{
+ typename __gmp_resolve_ref<T>::ref_type 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> &);
+
+#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); */
+
+#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);
+
+#define __GMPXX_DEFINE_ARITHMETIC_CONSTRUCTORS \
+ __gmp_expr(signed char c) { init_si(c); } \
+ __gmp_expr(unsigned char c) { init_ui(c); } \
+ __gmp_expr(signed int i) { init_si(i); } \
+ __gmp_expr(unsigned int i) { init_ui(i); } \
+ __gmp_expr(signed short int s) { init_si(s); } \
+ __gmp_expr(unsigned short int s) { init_ui(s); } \
+ __gmp_expr(signed long int l) { init_si(l); } \
+ __gmp_expr(unsigned long int l) { init_ui(l); } \
+ __gmp_expr(float f) { init_d(f); } \
+ __gmp_expr(double d) { init_d(d); }
+
+#define __GMPXX_DEFINE_ARITHMETIC_ASSIGNMENTS \
+ __gmp_expr & operator=(signed char c) { assign_si(c); return *this; } \
+ __gmp_expr & operator=(unsigned char c) { assign_ui(c); return *this; } \
+ __gmp_expr & operator=(signed int i) { assign_si(i); return *this; } \
+ __gmp_expr & operator=(unsigned int i) { assign_ui(i); return *this; } \
+ __gmp_expr & operator=(signed short int s) { assign_si(s); return *this; } \
+ __gmp_expr & operator=(unsigned short int s) { assign_ui(s); return *this; } \
+ __gmp_expr & operator=(signed long int l) { assign_si(l); return *this; } \
+ __gmp_expr & operator=(unsigned long int l) { assign_ui(l); return *this; } \
+ __gmp_expr & operator=(float f) { assign_d(f); return *this; } \
+ __gmp_expr & operator=(double d) { assign_d(d); return *this; }
+
+#define __GMPP_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun) \
+template <class U> \
+static __gmp_expr<T, __gmp_unary_expr<__gmp_expr<T, U>, eval_fun> > \
+fun(const __gmp_expr<T, U> &expr);
+
+#define __GMPNN_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type, bigtype) \
+static inline __gmp_expr<T, __gmp_unary_expr<bigtype, eval_fun> > \
+fun(type expr);
+
+#define __GMPNS_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type) \
+__GMPNN_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type, signed long)
+#define __GMPNU_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type) \
+__GMPNN_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type, unsigned long)
+#define __GMPND_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type) \
+__GMPNN_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type, double)
+
+#define __GMPN_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun) \
+__GMPNS_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, signed char) \
+__GMPNU_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, unsigned char) \
+__GMPNS_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, signed int) \
+__GMPNU_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, unsigned int) \
+__GMPNS_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, signed short int) \
+__GMPNU_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, unsigned short int) \
+__GMPNS_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, signed long int) \
+__GMPNU_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, unsigned long int) \
+__GMPND_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, float) \
+__GMPND_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, double)
+
+#define __GMP_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun) \
+__GMPP_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun) \
+__GMPN_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun)
+
+/**************** mpz_class -- wrapper for mpz_t ****************/
+
+template <>
+class __gmp_expr<mpz_t, mpz_t>
+{
+private:
+ typedef mpz_t value_type;
+ value_type mp;
+
+ // Helper functions used for all arithmetic types
+ void assign_ui(unsigned long l)
+ {
+ if (__GMPXX_CONSTANT_TRUE(l == 0))
+ mp->_mp_size = 0;
+ else
+ mpz_set_ui(mp, l);
+ }
+ void assign_si(signed long l)
+ {
+ if (__GMPXX_CONSTANT_TRUE(l >= 0))
+ assign_ui(l);
+ else if (__GMPXX_CONSTANT_TRUE(l <= 0))
+ {
+ assign_ui(-static_cast<unsigned long>(l));
+ mpz_neg(mp, mp);
+ }
+ else
+ mpz_set_si(mp, l);
+ }
+ void assign_d (double d)
+ {
+ mpz_set_d (mp, d);
+ }
+
+ void init_ui(unsigned long l)
+ {
+ if (__GMPXX_CONSTANT_TRUE(l == 0))
+ mpz_init(mp);
+ else
+ mpz_init_set_ui(mp, l);
+ }
+ void init_si(signed long l)
+ {
+ if (__GMPXX_CONSTANT_TRUE(l >= 0))
+ init_ui(l);
+ else if (__GMPXX_CONSTANT_TRUE(l <= 0))
+ {
+ init_ui(-static_cast<unsigned long>(l));
+ mpz_neg(mp, mp);
+ }
+ else
+ mpz_init_set_si(mp, l);
+ }
+ void init_d (double d)
+ {
+ mpz_init_set_d (mp, d);
+ }
+
+public:
+ mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); }
+
+ // constructors and destructor
+ __gmp_expr() __GMPXX_NOEXCEPT { mpz_init(mp); }
+
+ __gmp_expr(const __gmp_expr &z) { mpz_init_set(mp, z.mp); }
+#if __GMPXX_USE_CXX11
+ __gmp_expr(__gmp_expr &&z) noexcept
+ { *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); }
+
+ __GMPXX_DEFINE_ARITHMETIC_CONSTRUCTORS
+
+ 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
+ __gmp_expr & operator=(__gmp_expr &&z) 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; }
+
+ __GMPXX_DEFINE_ARITHMETIC_ASSIGNMENTS
+
+ __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; }
+
+ signed long int get_si() const { return mpz_get_si(mp); }
+ unsigned long int get_ui() const { return mpz_get_ui(mp); }
+ 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_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--)
+
+ __GMP_DECLARE_UNARY_STATIC_MEMFUN(mpz_t, factorial, __gmp_fac_function)
+ __GMP_DECLARE_UNARY_STATIC_MEMFUN(mpz_t, primorial, __gmp_primorial_function)
+ __GMP_DECLARE_UNARY_STATIC_MEMFUN(mpz_t, fibonacci, __gmp_fib_function)
+};
+
+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;
+
+ // Helper functions used for all arithmetic types
+ void assign_ui(unsigned long l) { mpq_set_ui(mp, l, 1); }
+ void assign_si(signed long l)
+ {
+ if (__GMPXX_CONSTANT_TRUE(l >= 0))
+ assign_ui(l);
+ else
+ mpq_set_si(mp, l, 1);
+ }
+ void assign_d (double d) { mpq_set_d (mp, d); }
+
+ void init_ui(unsigned long l) { mpq_init(mp); get_num() = l; }
+ void init_si(signed long l) { mpq_init(mp); get_num() = l; }
+ void init_d (double d) { mpq_init(mp); assign_d (d); }
+
+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
+ __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); }
+
+ __GMPXX_DEFINE_ARITHMETIC_CONSTRUCTORS
+
+ 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
+ __gmp_expr & operator=(__gmp_expr &&q) noexcept
+ { swap(q); return *this; }
+ __gmp_expr & operator=(mpz_class &&z) 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; }
+
+ __GMPXX_DEFINE_ARITHMETIC_ASSIGNMENTS
+
+ __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;
+
+ // Helper functions used for all arithmetic types
+ void assign_ui(unsigned long l) { mpf_set_ui(mp, l); }
+ void assign_si(signed long l)
+ {
+ if (__GMPXX_CONSTANT_TRUE(l >= 0))
+ assign_ui(l);
+ else
+ mpf_set_si(mp, l);
+ }
+ void assign_d (double d) { mpf_set_d (mp, d); }
+
+ void init_ui(unsigned long l)
+ {
+ if (__GMPXX_CONSTANT_TRUE(l == 0))
+ mpf_init(mp);
+ else
+ mpf_init_set_ui(mp, l);
+ }
+ void init_si(signed long l)
+ {
+ if (__GMPXX_CONSTANT_TRUE(l >= 0))
+ init_ui(l);
+ else
+ mpf_init_set_si(mp, l);
+ }
+ void init_d (double d) { mpf_init_set_d (mp, d); }
+
+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
+ __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); }
+
+ __GMPXX_DEFINE_ARITHMETIC_CONSTRUCTORS
+
+ __gmp_expr(signed char c, mp_bitcnt_t prec)
+ { mpf_init2(mp, prec); mpf_set_si(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, mp_bitcnt_t prec)
+ { mpf_init2(mp, prec); mpf_set_si(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, mp_bitcnt_t prec)
+ { mpf_init2(mp, prec); mpf_set_si(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, mp_bitcnt_t prec)
+ { mpf_init2(mp, prec); mpf_set_si(mp, l); }
+ __gmp_expr(unsigned long int l, mp_bitcnt_t prec)
+ { mpf_init2(mp, prec); mpf_set_ui(mp, l); }
+
+ __gmp_expr(float f, mp_bitcnt_t prec)
+ { mpf_init2(mp, prec); mpf_set_d(mp, f); }
+ __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
+ __gmp_expr & operator=(__gmp_expr &&f) 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; }
+
+ __GMPXX_DEFINE_ARITHMETIC_ASSIGNMENTS
+
+ __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; }
+
+ signed long int get_si() const { return mpf_get_si(mp); }
+ unsigned long int 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_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 mpf_sgn(mp) != 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(); }
+};
+
+
+// simple expressions, U is a built-in numerical type
+
+template <class T, class U, class Op>
+class __gmp_expr<T, __gmp_unary_expr<U, Op> >
+{
+private:
+ typedef 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
+ { Op::eval(p, expr.val); }
+ const val_type & get_val() const { return expr.val; }
+ mp_bitcnt_t get_prec() const { return mpf_get_default_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, U 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); \
+}
+
+// variant that only works for one of { mpz, mpq, mpf }
+
+#define __GMP_DEFINE_UNARY_FUNCTION_1(T, fun, eval_fun) \
+ \
+template <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, signed long int)
+
+#define __GMPNU_DEFINE_BINARY_FUNCTION(fun, eval_fun, type) \
+__GMPNN_DEFINE_BINARY_FUNCTION(fun, eval_fun, type, unsigned long int)
+
+#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)
+
+#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) */
+
+#define __GMP_DEFINE_BINARY_FUNCTION(fun, eval_fun) \
+__GMPP_DEFINE_BINARY_FUNCTION(fun, eval_fun) \
+__GMPN_DEFINE_BINARY_FUNCTION(fun, eval_fun)
+
+// variant that only works for one of { mpz, mpq, mpf }
+
+#define __GMPP_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun) \
+ \
+template <class U, class W> \
+inline __gmp_expr<T, \
+__gmp_binary_expr<__gmp_expr<T, U>, __gmp_expr<T, W>, eval_fun> > \
+fun(const __gmp_expr<T, U> &expr1, const __gmp_expr<T, W> &expr2) \
+{ \
+ return __gmp_expr<T, \
+ __gmp_binary_expr<__gmp_expr<T, U>, __gmp_expr<T, W>, eval_fun> > \
+ (expr1, expr2); \
+}
+
+#define __GMPNN_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, type, bigtype) \
+ \
+template <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 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_1(T, fun, eval_fun, type) \
+__GMPNN_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, type, signed long int)
+
+#define __GMPNU_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, type) \
+__GMPNN_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, type, unsigned long int)
+
+#define __GMPND_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, type) \
+__GMPNN_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, type, double)
+
+#define __GMPNLD_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, type) \
+__GMPNN_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, type, long double)
+
+#define __GMPN_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun) \
+__GMPNS_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, signed char) \
+__GMPNU_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, unsigned char) \
+__GMPNS_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, signed int) \
+__GMPNU_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, unsigned int) \
+__GMPNS_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, signed short int) \
+__GMPNU_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, unsigned short int) \
+__GMPNS_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, signed long int) \
+__GMPNU_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, unsigned long int) \
+__GMPND_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, float) \
+__GMPND_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, double) \
+/* __GMPNLD_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, long double) */
+
+#define __GMP_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun) \
+__GMPP_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun) \
+__GMPN_DEFINE_BINARY_FUNCTION_1(T, 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>, mp_bitcnt_t, 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) \
+{ \
+ __gmp_expr<T, T> const& temp1(expr1); \
+ __gmp_expr<V, V> 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, signed long int)
+
+#define __GMPNU_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, type2) \
+__GMPNN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, \
+ type2, unsigned long int)
+
+#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)
+
+#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) */
+
+#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, signed long int)
+
+#define __GMPNU_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, type2) \
+__GMPNN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, \
+ type2, unsigned long int)
+
+#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)
+
+#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) */
+
+#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(mp_bitcnt_t l) \
+{ \
+ __gmp_set_expr(mp, __gmp_expr<type##_t, __gmp_binary_expr \
+ <type##_class, mp_bitcnt_t, 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)
+
+
+#define __GMPP_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun) \
+template <class U> \
+__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 __GMPNN_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type, bigtype) \
+inline __gmp_expr<T, __gmp_unary_expr<bigtype, eval_fun> > \
+fun(type expr) \
+{ \
+ return __gmp_expr<T, __gmp_unary_expr<bigtype, eval_fun> >(expr); \
+}
+
+#define __GMPNS_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type) \
+__GMPNN_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type, signed long)
+#define __GMPNU_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type) \
+__GMPNN_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type, unsigned long)
+#define __GMPND_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type) \
+__GMPNN_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type, double)
+
+#define __GMPN_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun) \
+__GMPNS_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, signed char) \
+__GMPNU_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, unsigned char) \
+__GMPNS_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, signed int) \
+__GMPNU_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, unsigned int) \
+__GMPNS_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, signed short int) \
+__GMPNU_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, unsigned short int) \
+__GMPNS_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, signed long int) \
+__GMPNU_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, unsigned long int) \
+__GMPND_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, float) \
+__GMPND_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, double) \
+
+#define __GMP_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun) \
+__GMPP_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun) \
+__GMPN_DEFINE_UNARY_STATIC_MEMFUN(T, 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_1(mpz_t, 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_1(mpz_t, operator%, __gmp_binary_modulus)
+__GMP_DEFINE_BINARY_FUNCTION_1(mpz_t, operator&, __gmp_binary_and)
+__GMP_DEFINE_BINARY_FUNCTION_1(mpz_t, operator|, __gmp_binary_ior)
+__GMP_DEFINE_BINARY_FUNCTION_1(mpz_t, 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_1(mpf_t, trunc, __gmp_trunc_function)
+__GMP_DEFINE_UNARY_FUNCTION_1(mpf_t, floor, __gmp_floor_function)
+__GMP_DEFINE_UNARY_FUNCTION_1(mpf_t, ceil, __gmp_ceil_function)
+__GMP_DEFINE_UNARY_FUNCTION_1(mpf_t, sqrt, __gmp_sqrt_function)
+__GMP_DEFINE_UNARY_FUNCTION_1(mpz_t, sqrt, __gmp_sqrt_function)
+__GMP_DEFINE_UNARY_FUNCTION_1(mpz_t, factorial, __gmp_fac_function)
+__GMP_DEFINE_UNARY_FUNCTION_1(mpz_t, primorial, __gmp_primorial_function)
+__GMP_DEFINE_UNARY_FUNCTION_1(mpz_t, fibonacci, __gmp_fib_function)
+__GMP_DEFINE_BINARY_FUNCTION_1(mpf_t, hypot, __gmp_hypot_function)
+__GMP_DEFINE_BINARY_FUNCTION_1(mpz_t, gcd, __gmp_gcd_function)
+__GMP_DEFINE_BINARY_FUNCTION_1(mpz_t, lcm, __gmp_lcm_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)
+
+__GMP_DEFINE_UNARY_STATIC_MEMFUN(mpz_t, mpz_class::factorial, __gmp_fac_function)
+__GMP_DEFINE_UNARY_STATIC_MEMFUN(mpz_t, mpz_class::primorial, __gmp_primorial_function)
+__GMP_DEFINE_UNARY_STATIC_MEMFUN(mpz_t, mpz_class::fibonacci, __gmp_fib_function)
+
+// 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, unsigned long int, 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, unsigned long int 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, unsigned long int 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(unsigned long int 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); }
+};
+
+
+/**************** Specialize std::numeric_limits ****************/
+
+namespace std {
+ template <> class numeric_limits<mpz_class>
+ {
+ public:
+ static const bool is_specialized = true;
+ static mpz_class min() { return mpz_class(); }
+ static mpz_class max() { return mpz_class(); }
+ static mpz_class lowest() { return mpz_class(); }
+ static const int digits = 0;
+ static const int digits10 = 0;
+ static const int max_digits10 = 0;
+ static const bool is_signed = true;
+ static const bool is_integer = true;
+ static const bool is_exact = true;
+ static const int radix = 2;
+ static mpz_class epsilon() { return mpz_class(); }
+ static mpz_class round_error() { return mpz_class(); }
+ static const int min_exponent = 0;
+ static const int min_exponent10 = 0;
+ static const int max_exponent = 0;
+ static const int max_exponent10 = 0;
+ static const bool has_infinity = false;
+ static const bool has_quiet_NaN = false;
+ static const bool has_signaling_NaN = false;
+ static const float_denorm_style has_denorm = denorm_absent;
+ static const bool has_denorm_loss = false;
+ static mpz_class infinity() { return mpz_class(); }
+ static mpz_class quiet_NaN() { return mpz_class(); }
+ static mpz_class signaling_NaN() { return mpz_class(); }
+ static mpz_class denorm_min() { return mpz_class(); }
+ static const bool is_iec559 = false;
+ static const bool is_bounded = false;
+ static const bool is_modulo = false;
+ static const bool traps = false;
+ static const bool tinyness_before = false;
+ static const float_round_style round_style = round_toward_zero;
+ };
+
+ template <> class numeric_limits<mpq_class>
+ {
+ public:
+ static const bool is_specialized = true;
+ static mpq_class min() { return mpq_class(); }
+ static mpq_class max() { return mpq_class(); }
+ static mpq_class lowest() { return mpq_class(); }
+ static const int digits = 0;
+ static const int digits10 = 0;
+ static const int max_digits10 = 0;
+ static const bool is_signed = true;
+ static const bool is_integer = false;
+ static const bool is_exact = true;
+ static const int radix = 2;
+ static mpq_class epsilon() { return mpq_class(); }
+ static mpq_class round_error() { return mpq_class(); }
+ static const int min_exponent = 0;
+ static const int min_exponent10 = 0;
+ static const int max_exponent = 0;
+ static const int max_exponent10 = 0;
+ static const bool has_infinity = false;
+ static const bool has_quiet_NaN = false;
+ static const bool has_signaling_NaN = false;
+ static const float_denorm_style has_denorm = denorm_absent;
+ static const bool has_denorm_loss = false;
+ static mpq_class infinity() { return mpq_class(); }
+ static mpq_class quiet_NaN() { return mpq_class(); }
+ static mpq_class signaling_NaN() { return mpq_class(); }
+ static mpq_class denorm_min() { return mpq_class(); }
+ static const bool is_iec559 = false;
+ static const bool is_bounded = false;
+ static const bool is_modulo = false;
+ static const bool traps = false;
+ static const bool tinyness_before = false;
+ static const float_round_style round_style = round_toward_zero;
+ };
+
+ template <> class numeric_limits<mpf_class>
+ {
+ public:
+ static const bool is_specialized = true;
+ static mpf_class min() { return mpf_class(); }
+ static mpf_class max() { return mpf_class(); }
+ static mpf_class lowest() { return mpf_class(); }
+ static const int digits = 0;
+ static const int digits10 = 0;
+ static const int max_digits10 = 0;
+ static const bool is_signed = true;
+ static const bool is_integer = false;
+ static const bool is_exact = false;
+ static const int radix = 2;
+ static mpf_class epsilon() { return mpf_class(); }
+ static mpf_class round_error() { return mpf_class(); }
+ static const int min_exponent = 0;
+ static const int min_exponent10 = 0;
+ static const int max_exponent = 0;
+ static const int max_exponent10 = 0;
+ static const bool has_infinity = false;
+ static const bool has_quiet_NaN = false;
+ static const bool has_signaling_NaN = false;
+ static const float_denorm_style has_denorm = denorm_absent;
+ static const bool has_denorm_loss = false;
+ static mpf_class infinity() { return mpf_class(); }
+ static mpf_class quiet_NaN() { return mpf_class(); }
+ static mpf_class signaling_NaN() { return mpf_class(); }
+ static mpf_class denorm_min() { return mpf_class(); }
+ static const bool is_iec559 = false;
+ static const bool is_bounded = false;
+ static const bool is_modulo = false;
+ static const bool traps = false;
+ static const bool tinyness_before = false;
+ static const float_round_style round_style = round_indeterminate;
+ };
+}
+
+
+/**************** #undef all private macros ****************/
+
+#undef __GMPP_DECLARE_COMPOUND_OPERATOR
+#undef __GMPN_DECLARE_COMPOUND_OPERATOR
+#undef __GMP_DECLARE_COMPOUND_OPERATOR
+#undef __GMP_DECLARE_COMPOUND_OPERATOR_UI
+#undef __GMP_DECLARE_INCREMENT_OPERATOR
+#undef __GMPXX_DEFINE_ARITHMETIC_CONSTRUCTORS
+#undef __GMPXX_DEFINE_ARITHMETIC_ASSIGNMENTS
+
+#undef __GMPZQ_DEFINE_EXPR
+
+#undef __GMP_DEFINE_UNARY_FUNCTION_1
+#undef __GMP_DEFINE_UNARY_FUNCTION
+#undef __GMP_DEFINE_UNARY_TYPE_FUNCTION
+
+#undef __GMPP_DEFINE_BINARY_FUNCTION
+#undef __GMPNN_DEFINE_BINARY_FUNCTION
+#undef __GMPNS_DEFINE_BINARY_FUNCTION
+#undef __GMPNU_DEFINE_BINARY_FUNCTION
+#undef __GMPND_DEFINE_BINARY_FUNCTION
+#undef __GMPNLD_DEFINE_BINARY_FUNCTION
+#undef __GMPN_DEFINE_BINARY_FUNCTION
+#undef __GMP_DEFINE_BINARY_FUNCTION
+
+#undef __GMP_DEFINE_BINARY_FUNCTION_UI
+
+#undef __GMPP_DEFINE_BINARY_TYPE_FUNCTION
+#undef __GMPNN_DEFINE_BINARY_TYPE_FUNCTION
+#undef __GMPNS_DEFINE_BINARY_TYPE_FUNCTION
+#undef __GMPNU_DEFINE_BINARY_TYPE_FUNCTION
+#undef __GMPND_DEFINE_BINARY_TYPE_FUNCTION
+#undef __GMPNLD_DEFINE_BINARY_TYPE_FUNCTION
+#undef __GMPN_DEFINE_BINARY_TYPE_FUNCTION
+#undef __GMP_DEFINE_BINARY_TYPE_FUNCTION
+
+#undef __GMPZ_DEFINE_COMPOUND_OPERATOR
+
+#undef __GMPP_DEFINE_COMPOUND_OPERATOR
+#undef __GMPNN_DEFINE_COMPOUND_OPERATOR
+#undef __GMPNS_DEFINE_COMPOUND_OPERATOR
+#undef __GMPNU_DEFINE_COMPOUND_OPERATOR
+#undef __GMPND_DEFINE_COMPOUND_OPERATOR
+#undef __GMPNLD_DEFINE_COMPOUND_OPERATOR
+#undef __GMPN_DEFINE_COMPOUND_OPERATOR
+#undef __GMP_DEFINE_COMPOUND_OPERATOR
+
+#undef __GMPQ_DEFINE_COMPOUND_OPERATOR
+#undef __GMPF_DEFINE_COMPOUND_OPERATOR
+
+#undef __GMP_DEFINE_COMPOUND_OPERATOR_UI
+#undef __GMPZ_DEFINE_COMPOUND_OPERATOR_UI
+#undef __GMPQ_DEFINE_COMPOUND_OPERATOR_UI
+#undef __GMPF_DEFINE_COMPOUND_OPERATOR_UI
+
+#undef __GMP_DEFINE_INCREMENT_OPERATOR
+#undef __GMPZ_DEFINE_INCREMENT_OPERATOR
+#undef __GMPQ_DEFINE_INCREMENT_OPERATOR
+#undef __GMPF_DEFINE_INCREMENT_OPERATOR
+
+#undef __GMPXX_CONSTANT_TRUE
+#undef __GMPXX_CONSTANT
+
+#endif /* __GMP_PLUSPLUS__ */