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Diffstat (limited to 'library/GMP/include/gmpxx.h')
| -rw-r--r-- | library/GMP/include/gmpxx.h | 3337 |
1 files changed, 3337 insertions, 0 deletions
diff --git a/library/GMP/include/gmpxx.h b/library/GMP/include/gmpxx.h new file mode 100644 index 00000000..76a72678 --- /dev/null +++ b/library/GMP/include/gmpxx.h @@ -0,0 +1,3337 @@ +/* gmpxx.h -- C++ class wrapper for GMP types. -*- C++ -*- + +Copyright 2001, 2002, 2003, 2006 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 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. + +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 Lesser General Public +License for more details. + +You should have received a copy of the GNU Lesser General Public License +along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */ + +/* the C++ compiler must implement the following features: + - member templates + - partial specialization of templates + - namespace support + for g++, this means version 2.91 or higher + for other compilers, I don't know */ +#ifdef __GNUC__ +#if __GNUC__ < 2 || (__GNUC__ == 2 && __GNUC_MINOR__ < 91) +#error gmpxx.h requires g++ version 2.91 (egcs 1.1.2) or higher +#endif +#endif + +#ifndef __GMP_PLUSPLUS__ +#define __GMP_PLUSPLUS__ + +#include <iosfwd> + +#include <cstring> /* for strlen */ +#include <string> +#include <stdexcept> +#include <gmp.h> + + +/**************** 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) + { mpz_add_ui(z, w, l); } + static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w) + { mpz_add_ui(z, w, l); } + static void eval(mpz_ptr z, mpz_srcptr w, signed long int l) + { + if (l >= 0) + mpz_add_ui(z, w, l); + else + mpz_sub_ui(z, w, -l); + } + static void eval(mpz_ptr z, signed long int l, mpz_srcptr w) + { + if (l >= 0) + mpz_add_ui(z, w, l); + else + mpz_sub_ui(z, w, -l); + } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { + mpz_t temp; + mpz_init_set_d(temp, d); + mpz_add(z, w, temp); + mpz_clear(temp); + } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { + mpz_t temp; + mpz_init_set_d(temp, d); + mpz_add(z, temp, w); + mpz_clear(temp); + } + + 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) + { mpq_set(q, r); mpz_addmul_ui(mpq_numref(q), mpq_denref(q), l); } + static void eval(mpq_ptr q, unsigned long int l, mpq_srcptr r) + { mpq_set(q, r); mpz_addmul_ui(mpq_numref(q), mpq_denref(q), l); } + static void eval(mpq_ptr q, mpq_srcptr r, signed long int l) + { + mpq_set(q, r); + if (l >= 0) + mpz_addmul_ui(mpq_numref(q), mpq_denref(q), l); + else + mpz_submul_ui(mpq_numref(q), mpq_denref(q), -l); + } + static void eval(mpq_ptr q, signed long int l, mpq_srcptr r) + { + mpq_set(q, r); + if (l >= 0) + mpz_addmul_ui(mpq_numref(q), mpq_denref(q), l); + else + mpz_submul_ui(mpq_numref(q), mpq_denref(q), -l); + } + static void eval(mpq_ptr q, mpq_srcptr r, double d) + { + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + mpq_add(q, r, temp); + mpq_clear(temp); + } + static void eval(mpq_ptr q, double d, mpq_srcptr r) + { + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + mpq_add(q, temp, r); + mpq_clear(temp); + } + + static void eval(mpq_ptr q, mpq_srcptr r, mpz_srcptr z) + { mpq_set(q, r); mpz_addmul(mpq_numref(q), mpq_denref(q), z); } + static void eval(mpq_ptr q, mpz_srcptr z, mpq_srcptr r) + { mpq_set(q, r); mpz_addmul(mpq_numref(q), mpq_denref(q), 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, -l); + } + static void eval(mpf_ptr f, signed long int l, mpf_srcptr g) + { + if (l >= 0) + mpf_add_ui(f, g, l); + else + mpf_sub_ui(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) + { + mpf_t temp; + mpf_init2(temp, 8*sizeof(double)); + mpf_set_d(temp, d); + mpf_add(f, temp, g); + mpf_clear(temp); + } +}; + +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) + { mpz_sub_ui(z, w, l); } + static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w) + { mpz_ui_sub(z, l, w); } + static void eval(mpz_ptr z, mpz_srcptr w, signed long int l) + { + if (l >= 0) + mpz_sub_ui(z, w, l); + else + mpz_add_ui(z, w, -l); + } + static void eval(mpz_ptr z, signed long int l, mpz_srcptr w) + { + if (l >= 0) + mpz_ui_sub(z, l, w); + else + { + mpz_add_ui(z, w, -l); + mpz_neg(z, z); + } + } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { + mpz_t temp; + mpz_init_set_d(temp, d); + mpz_sub(z, w, temp); + mpz_clear(temp); + } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { + mpz_t temp; + mpz_init_set_d(temp, d); + mpz_sub(z, temp, w); + mpz_clear(temp); + } + + 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) + { mpq_set(q, r); mpz_submul_ui(mpq_numref(q), mpq_denref(q), l); } + static void eval(mpq_ptr q, unsigned long int l, mpq_srcptr r) + { mpq_neg(q, r); mpz_addmul_ui(mpq_numref(q), mpq_denref(q), l); } + static void eval(mpq_ptr q, mpq_srcptr r, signed long int l) + { + mpq_set(q, r); + if (l >= 0) + mpz_submul_ui(mpq_numref(q), mpq_denref(q), l); + else + mpz_addmul_ui(mpq_numref(q), mpq_denref(q), -l); + } + static void eval(mpq_ptr q, signed long int l, mpq_srcptr r) + { + mpq_neg(q, r); + if (l >= 0) + mpz_addmul_ui(mpq_numref(q), mpq_denref(q), l); + else + mpz_submul_ui(mpq_numref(q), mpq_denref(q), -l); + } + static void eval(mpq_ptr q, mpq_srcptr r, double d) + { + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + mpq_sub(q, r, temp); + mpq_clear(temp); + } + static void eval(mpq_ptr q, double d, mpq_srcptr r) + { + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + mpq_sub(q, temp, r); + mpq_clear(temp); + } + + static void eval(mpq_ptr q, mpq_srcptr r, mpz_srcptr z) + { mpq_set(q, r); mpz_submul(mpq_numref(q), mpq_denref(q), z); } + static void eval(mpq_ptr q, mpz_srcptr z, mpq_srcptr r) + { mpq_neg(q, r); mpz_addmul(mpq_numref(q), mpq_denref(q), z); } + + 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, -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, -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); + } +}; + +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) + { mpz_mul_ui(z, w, l); } + static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w) + { mpz_mul_ui(z, w, l); } + static void eval(mpz_ptr z, mpz_srcptr w, signed long int l) + { mpz_mul_si (z, w, l); } + static void eval(mpz_ptr z, signed long int l, mpz_srcptr w) + { mpz_mul_si (z, w, l); } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { + mpz_t temp; + mpz_init_set_d(temp, d); + mpz_mul(z, w, temp); + mpz_clear(temp); + } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { + mpz_t temp; + mpz_init_set_d(temp, d); + mpz_mul(z, temp, w); + mpz_clear(temp); + } + + 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) + { + mpq_t temp; + mpq_init(temp); + mpq_set_ui(temp, l, 1); + mpq_mul(q, r, temp); + mpq_clear(temp); + } + static void eval(mpq_ptr q, unsigned long int l, mpq_srcptr r) + { + mpq_t temp; + mpq_init(temp); + mpq_set_ui(temp, l, 1); + mpq_mul(q, temp, r); + mpq_clear(temp); + } + static void eval(mpq_ptr q, mpq_srcptr r, signed long int l) + { + mpq_t temp; + mpq_init(temp); + mpq_set_si(temp, l, 1); + mpq_mul(q, r, temp); + mpq_clear(temp); + } + static void eval(mpq_ptr q, signed long int l, mpq_srcptr r) + { + mpq_t temp; + mpq_init(temp); + mpq_set_si(temp, l, 1); + mpq_mul(q, temp, r); + mpq_clear(temp); + } + static void eval(mpq_ptr q, mpq_srcptr r, double d) + { + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + mpq_mul(q, r, temp); + mpq_clear(temp); + } + static void eval(mpq_ptr q, double d, mpq_srcptr r) + { + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + mpq_mul(q, temp, r); + mpq_clear(temp); + } + + 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, -l); + mpf_neg(f, f); + } + } + static void eval(mpf_ptr f, signed long int l, mpf_srcptr g) + { + if (l >= 0) + mpf_mul_ui(f, g, l); + else + { + mpf_mul_ui(f, g, -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_mul(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_mul(f, temp, g); + mpf_clear(temp); + } +}; + +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) + { 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) + mpz_tdiv_q_ui(z, w, l); + else + { + mpz_tdiv_q_ui(z, w, -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, (l >= 0 ? l : -l)) == 0 ? -1 : 0)); + } + } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { + mpz_t temp; + mpz_init_set_d(temp, d); + mpz_tdiv_q(z, w, temp); + mpz_clear(temp); + } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { + mpz_t temp; + mpz_init_set_d(temp, d); + mpz_tdiv_q(z, temp, w); + mpz_clear(temp); + } + + 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) + { + mpq_t temp; + mpq_init(temp); + mpq_set_ui(temp, l, 1); + mpq_div(q, r, temp); + mpq_clear(temp); + } + static void eval(mpq_ptr q, unsigned long int l, mpq_srcptr r) + { + mpq_t temp; + mpq_init(temp); + mpq_set_ui(temp, l, 1); + mpq_div(q, temp, r); + mpq_clear(temp); + } + static void eval(mpq_ptr q, mpq_srcptr r, signed long int l) + { + mpq_t temp; + mpq_init(temp); + mpq_set_si(temp, l, 1); + mpq_div(q, r, temp); + mpq_clear(temp); + } + static void eval(mpq_ptr q, signed long int l, mpq_srcptr r) + { + mpq_t temp; + mpq_init(temp); + mpq_set_si(temp, l, 1); + mpq_div(q, temp, r); + mpq_clear(temp); + } + static void eval(mpq_ptr q, mpq_srcptr r, double d) + { + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + mpq_div(q, r, temp); + mpq_clear(temp); + } + static void eval(mpq_ptr q, double d, mpq_srcptr r) + { + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + mpq_div(q, temp, r); + mpq_clear(temp); + } + + static void eval(mpf_ptr f, mpf_srcptr g, mpf_srcptr h) + { mpf_div(f, g, h); } + + static void eval(mpf_ptr f, mpf_srcptr g, 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, -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, -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, (l >= 0 ? l : -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, (l >= 0 ? l : -l)) == 0 ? 0 : l); + } + } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { + mpz_t temp; + mpz_init_set_d(temp, d); + mpz_tdiv_r(z, w, temp); + mpz_clear(temp); + } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { + mpz_t temp; + mpz_init_set_d(temp, d); + mpz_tdiv_r(z, temp, w); + mpz_clear(temp); + } +}; + +struct __gmp_binary_and +{ + static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v) + { mpz_and(z, w, v); } +}; + +struct __gmp_binary_ior +{ + static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v) + { mpz_ior(z, w, v); } +}; + +struct __gmp_binary_xor +{ + static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v) + { mpz_xor(z, w, v); } +}; + +struct __gmp_binary_lshift +{ + static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l) + { mpz_mul_2exp(z, w, l); } + static void eval(mpq_ptr q, mpq_srcptr r, unsigned long int l) + { mpq_mul_2exp(q, r, l); } + static void eval(mpf_ptr f, mpf_srcptr g, unsigned long int l) + { mpf_mul_2exp(f, g, l); } +}; + +struct __gmp_binary_rshift +{ + static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l) + { mpz_tdiv_q_2exp(z, w, l); } + static void eval(mpq_ptr q, mpq_srcptr r, unsigned long int l) + { mpq_div_2exp(q, r, l); } + static void eval(mpf_ptr f, mpf_srcptr g, unsigned long int l) + { mpf_div_2exp(f, g, l); } +}; + +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 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_equal(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) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_equal(q, temp) != 0); + mpq_clear(temp); + return b; + } + static bool eval(double d, mpq_srcptr q) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_equal(temp, q) != 0); + mpq_clear(temp); + return b; + } + + static bool eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g) == 0; } + + static bool eval(mpf_srcptr f, 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; } +}; + +struct __gmp_binary_not_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 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_equal(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) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_equal(q, temp) == 0); + mpq_clear(temp); + return b; + } + static bool eval(double d, mpq_srcptr q) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_equal(temp, q) == 0); + mpq_clear(temp); + return b; + } + + static bool eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g) != 0; } + + static bool eval(mpf_srcptr f, 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; } +}; + +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) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_cmp(q, temp) < 0); + mpq_clear(temp); + return b; + } + static bool eval(double d, mpq_srcptr q) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_cmp(temp, q) < 0); + mpq_clear(temp); + return b; + } + + static bool eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g) < 0; } + + static bool eval(mpf_srcptr f, 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; } +}; + +struct __gmp_binary_less_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 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) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_cmp(q, temp) <= 0); + mpq_clear(temp); + return b; + } + static bool eval(double d, mpq_srcptr q) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_cmp(temp, q) <= 0); + mpq_clear(temp); + return b; + } + + static bool eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g) <= 0; } + + static bool eval(mpf_srcptr f, 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; } +}; + +struct __gmp_binary_greater +{ + static bool eval(mpz_srcptr z, mpz_srcptr w) { return mpz_cmp(z, w) > 0; } + + static bool eval(mpz_srcptr z, 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) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_cmp(q, temp) > 0); + mpq_clear(temp); + return b; + } + static bool eval(double d, mpq_srcptr q) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_cmp(temp, q) > 0); + mpq_clear(temp); + return b; + } + + static bool eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g) > 0; } + + static bool eval(mpf_srcptr f, 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; } +}; + +struct __gmp_binary_greater_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 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) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_cmp(q, temp) >= 0); + mpq_clear(temp); + return b; + } + static bool eval(double d, mpq_srcptr q) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_cmp(temp, q) >= 0); + mpq_clear(temp); + return b; + } + + static bool eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g) >= 0; } + + static bool eval(mpf_srcptr f, 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; } +}; + +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(f, f, f); + mpf_add(f, f, temp); + mpf_sqrt(f, f); + mpf_clear(temp); + } + static void eval(mpf_ptr f, unsigned long int l, mpf_srcptr g) + { + mpf_t temp; + mpf_init2(temp, mpf_get_prec(f)); + mpf_mul(temp, g, g); + mpf_set_ui(f, l); + mpf_mul(f, f, f); + mpf_add(f, f, temp); + mpf_sqrt(f, f); + mpf_clear(temp); + } + static void eval(mpf_ptr f, mpf_srcptr g, signed long int l) + { + mpf_t temp; + mpf_init2(temp, mpf_get_prec(f)); + mpf_mul(temp, g, g); + mpf_set_si(f, l); + mpf_mul(f, f, f); + mpf_add(f, f, temp); + mpf_sqrt(f, f); + mpf_clear(temp); + } + static void eval(mpf_ptr f, signed long int l, mpf_srcptr g) + { + mpf_t temp; + mpf_init2(temp, mpf_get_prec(f)); + mpf_mul(temp, g, g); + mpf_set_si(f, l); + mpf_mul(f, f, f); + mpf_add(f, f, temp); + mpf_sqrt(f, f); + mpf_clear(temp); + } + static void eval(mpf_ptr f, 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) + { + 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); + } +}; + +struct __gmp_sgn_function +{ + static int eval(mpz_srcptr z) { return mpz_sgn(z); } + static int eval(mpq_srcptr q) { return mpq_sgn(q); } + static int eval(mpf_srcptr f) { return mpf_sgn(f); } +}; + +struct __gmp_cmp_function +{ + static int eval(mpz_srcptr z, mpz_srcptr w) { return mpz_cmp(z, w); } + + static int eval(mpz_srcptr z, 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) + { + int i; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + i = mpq_cmp(q, temp); + mpq_clear(temp); + return i; + } + static int eval(double d, mpq_srcptr q) + { + int i; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + i = mpq_cmp(temp, q); + mpq_clear(temp); + return i; + } + + static int eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g); } + + static int eval(mpf_srcptr f, 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); } +}; + +struct __gmp_rand_function +{ + static void eval(mpz_ptr z, gmp_randstate_t s, unsigned long int 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, unsigned long int prec) + { mpf_urandomb(f, s, prec); } +}; + + +/**************** Auxiliary classes ****************/ + +/* this is much the same as gmp_allocated_string in gmp-impl.h + since gmp-impl.h is not publicly available, I redefine it here + I use a different name to avoid possible clashes */ +struct __gmp_alloc_cstring +{ + char *str; + __gmp_alloc_cstring(char *s) { str = s; } + ~__gmp_alloc_cstring() + { + void (*freefunc) (void *, size_t); + 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; +}; + +template <> +struct __gmp_resolve_expr<mpq_t> +{ + typedef mpq_t value_type; + typedef mpq_ptr ptr_type; +}; + +template <> +struct __gmp_resolve_expr<mpf_t> +{ + typedef mpf_t value_type; + typedef mpf_ptr ptr_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; +}; + + + +template <class T, class U, class V> +struct __gmp_resolve_temp +{ + typedef __gmp_expr<T, T> temp_type; +}; + +template <class T> +struct __gmp_resolve_temp<T, T, T> +{ + typedef const __gmp_expr<T, T> & temp_type; +}; + + +// classes for evaluating unary and binary expressions +template <class T, class Op> +struct __gmp_unary_expr +{ + const T &val; + + __gmp_unary_expr(const T &v) : val(v) { } +private: + __gmp_unary_expr(); +}; + +template <class T, class U, class Op> +struct __gmp_binary_expr +{ + typename __gmp_resolve_ref<T>::ref_type val1; + typename __gmp_resolve_ref<U>::ref_type val2; + + __gmp_binary_expr(const T &v1, const U &v2) : val1(v1), val2(v2) { } +private: + __gmp_binary_expr(); +}; + + +// functions for evaluating expressions +template <class T, class U> +void __gmp_set_expr(mpz_ptr, const __gmp_expr<T, U> &); +template <class T, class U> +void __gmp_set_expr(mpq_ptr, const __gmp_expr<T, U> &); +template <class T, class U> +void __gmp_set_expr(mpf_ptr, const __gmp_expr<T, U> &); + + +/**************** 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(unsigned long int); + +#define __GMP_DECLARE_INCREMENT_OPERATOR(fun) \ + inline __gmp_expr & fun(); \ + inline __gmp_expr fun(int); + + +/**************** mpz_class -- wrapper for mpz_t ****************/ + +template <> +class __gmp_expr<mpz_t, mpz_t> +{ +private: + typedef mpz_t value_type; + value_type mp; +public: + unsigned long int get_prec() const { return mpf_get_default_prec(); } + + // constructors and destructor + __gmp_expr() { mpz_init(mp); } + + __gmp_expr(const __gmp_expr &z) { mpz_init_set(mp, z.mp); } + template <class T, class U> + __gmp_expr(const __gmp_expr<T, U> &expr) + { mpz_init(mp); __gmp_set_expr(mp, expr); } + + __gmp_expr(signed char c) { mpz_init_set_si(mp, c); } + __gmp_expr(unsigned char c) { mpz_init_set_ui(mp, c); } + + __gmp_expr(signed int i) { mpz_init_set_si(mp, i); } + __gmp_expr(unsigned int i) { mpz_init_set_ui(mp, i); } + + __gmp_expr(signed short int s) { mpz_init_set_si(mp, s); } + __gmp_expr(unsigned short int s) { mpz_init_set_ui(mp, s); } + + __gmp_expr(signed long int l) { mpz_init_set_si(mp, l); } + __gmp_expr(unsigned long int l) { mpz_init_set_ui(mp, l); } + + __gmp_expr(float f) { mpz_init_set_d(mp, f); } + __gmp_expr(double d) { mpz_init_set_d(mp, d); } + // __gmp_expr(long double ld) { mpz_init_set_d(mp, ld); } + + explicit __gmp_expr(const char *s) + { + if (mpz_init_set_str (mp, s, 0) != 0) + { + mpz_clear (mp); + throw std::invalid_argument ("mpz_set_str"); + } + } + __gmp_expr(const char *s, int base) + { + 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) + { + if (mpz_init_set_str (mp, s.c_str(), 0) != 0) + { + mpz_clear (mp); + throw std::invalid_argument ("mpz_set_str"); + } + } + __gmp_expr(const std::string &s, int base) + { + 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); } + + // assignment operators + __gmp_expr & operator=(const __gmp_expr &z) + { mpz_set(mp, z.mp); return *this; } + template <class T, class U> + __gmp_expr<value_type, value_type> & operator=(const __gmp_expr<T, U> &expr) + { __gmp_set_expr(mp, expr); return *this; } + + __gmp_expr & operator=(signed char c) { mpz_set_si(mp, c); return *this; } + __gmp_expr & operator=(unsigned char c) { mpz_set_ui(mp, c); return *this; } + + __gmp_expr & operator=(signed int i) { mpz_set_si(mp, i); return *this; } + __gmp_expr & operator=(unsigned int i) { mpz_set_ui(mp, i); return *this; } + + __gmp_expr & operator=(signed short int s) + { mpz_set_si(mp, s); return *this; } + __gmp_expr & operator=(unsigned short int s) + { mpz_set_ui(mp, s); return *this; } + + __gmp_expr & operator=(signed long int l) + { mpz_set_si(mp, l); return *this; } + __gmp_expr & operator=(unsigned long int l) + { mpz_set_ui(mp, l); return *this; } + + __gmp_expr & operator=(float f) { mpz_set_d(mp, f); return *this; } + __gmp_expr & operator=(double d) { mpz_set_d(mp, d); return *this; } + // __gmp_expr & operator=(long double ld) + // { mpz_set_ld(mp, ld); return *this; } + + __gmp_expr & operator=(const char *s) + { + if (mpz_set_str (mp, s, 0) != 0) + throw std::invalid_argument ("mpz_set_str"); + return *this; + } + __gmp_expr & operator=(const std::string &s) + { + if (mpz_set_str(mp, s.c_str(), 0) != 0) + throw std::invalid_argument ("mpz_set_str"); + return *this; + } + + // string input/output functions + int set_str(const char *s, int base) + { return mpz_set_str(mp, s, base); } + int set_str(const std::string &s, int base) + { return mpz_set_str(mp, s.c_str(), base); } + std::string get_str(int base = 10) const + { + __gmp_alloc_cstring temp(mpz_get_str(0, base, mp)); + return std::string(temp.str); + } + + // conversion functions + mpz_srcptr __get_mp() const { return mp; } + mpz_ptr __get_mp() { return mp; } + mpz_srcptr get_mpz_t() const { return mp; } + mpz_ptr get_mpz_t() { return mp; } + + 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); } + + // 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%=) + + __GMPP_DECLARE_COMPOUND_OPERATOR(operator&=) + __GMPP_DECLARE_COMPOUND_OPERATOR(operator|=) + __GMPP_DECLARE_COMPOUND_OPERATOR(operator^=) + + __GMP_DECLARE_COMPOUND_OPERATOR_UI(operator<<=) + __GMP_DECLARE_COMPOUND_OPERATOR_UI(operator>>=) + + __GMP_DECLARE_INCREMENT_OPERATOR(operator++) + __GMP_DECLARE_INCREMENT_OPERATOR(operator--) +}; + +typedef __gmp_expr<mpz_t, mpz_t> mpz_class; + + +/**************** mpq_class -- wrapper for mpq_t ****************/ + +template <> +class __gmp_expr<mpq_t, mpq_t> +{ +private: + typedef mpq_t value_type; + value_type mp; +public: + unsigned long int 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) { mpq_init(mp); mpq_set(mp, q.mp); } + template <class T, class U> + __gmp_expr(const __gmp_expr<T, U> &expr) + { mpq_init(mp); __gmp_set_expr(mp, expr); } + + __gmp_expr(signed char c) { mpq_init(mp); mpq_set_si(mp, c, 1); } + __gmp_expr(unsigned char c) { mpq_init(mp); mpq_set_ui(mp, c, 1); } + + __gmp_expr(signed int i) { mpq_init(mp); mpq_set_si(mp, i, 1); } + __gmp_expr(unsigned int i) { mpq_init(mp); mpq_set_ui(mp, i, 1); } + + __gmp_expr(signed short int s) { mpq_init(mp); mpq_set_si(mp, s, 1); } + __gmp_expr(unsigned short int s) { mpq_init(mp); mpq_set_ui(mp, s, 1); } + + __gmp_expr(signed long int l) { mpq_init(mp); mpq_set_si(mp, l, 1); } + __gmp_expr(unsigned long int l) { mpq_init(mp); mpq_set_ui(mp, l, 1); } + + __gmp_expr(float f) { mpq_init(mp); mpq_set_d(mp, f); } + __gmp_expr(double d) { mpq_init(mp); mpq_set_d(mp, d); } + // __gmp_expr(long double ld) { mpq_init(mp); mpq_set_ld(mp, ld); } + + explicit __gmp_expr(const char *s) + { + mpq_init (mp); + if (mpq_set_str (mp, s, 0) != 0) + { + mpq_clear (mp); + throw std::invalid_argument ("mpq_set_str"); + } + } + __gmp_expr(const char *s, int base) + { + mpq_init (mp); + 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) + { + mpq_init (mp); + if (mpq_set_str (mp, s.c_str(), 0) != 0) + { + mpq_clear (mp); + throw std::invalid_argument ("mpq_set_str"); + } + } + __gmp_expr(const std::string &s, int base) + { + 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) { mpq_init(mp); mpq_set(mp, q); } + + __gmp_expr(const mpz_class &num, const mpz_class &den) + { + mpq_init(mp); + mpz_set(mpq_numref(mp), num.get_mpz_t()); + mpz_set(mpq_denref(mp), den.get_mpz_t()); + } + + ~__gmp_expr() { mpq_clear(mp); } + + // assignment operators + __gmp_expr & operator=(const __gmp_expr &q) + { mpq_set(mp, q.mp); return *this; } + template <class T, class U> + __gmp_expr<value_type, value_type> & operator=(const __gmp_expr<T, U> &expr) + { __gmp_set_expr(mp, expr); return *this; } + + __gmp_expr & operator=(signed char c) + { mpq_set_si(mp, c, 1); return *this; } + __gmp_expr & operator=(unsigned char c) + { mpq_set_ui(mp, c, 1); return *this; } + + __gmp_expr & operator=(signed int i) { mpq_set_si(mp, i, 1); return *this; } + __gmp_expr & operator=(unsigned int i) + { mpq_set_ui(mp, i, 1); return *this; } + + __gmp_expr & operator=(signed short int s) + { mpq_set_si(mp, s, 1); return *this; } + __gmp_expr & operator=(unsigned short int s) + { mpq_set_ui(mp, s, 1); return *this; } + + __gmp_expr & operator=(signed long int l) + { mpq_set_si(mp, l, 1); return *this; } + __gmp_expr & operator=(unsigned long int l) + { mpq_set_ui(mp, l, 1); return *this; } + + __gmp_expr & operator=(float f) { mpq_set_d(mp, f); return *this; } + __gmp_expr & operator=(double d) { mpq_set_d(mp, d); return *this; } + // __gmp_expr & operator=(long double ld) + // { mpq_set_ld(mp, ld); return *this; } + + __gmp_expr & operator=(const char *s) + { + if (mpq_set_str (mp, s, 0) != 0) + throw std::invalid_argument ("mpq_set_str"); + return *this; + } + __gmp_expr & operator=(const std::string &s) + { + if (mpq_set_str(mp, s.c_str(), 0) != 0) + throw std::invalid_argument ("mpq_set_str"); + return *this; + } + + // string input/output functions + int set_str(const char *s, int base) + { return mpq_set_str(mp, s, base); } + int set_str(const std::string &s, int base) + { return mpq_set_str(mp, s.c_str(), base); } + std::string get_str(int base = 10) const + { + __gmp_alloc_cstring temp(mpq_get_str(0, base, mp)); + return std::string(temp.str); + } + + // conversion functions + + // casting a reference to an mpz_t to mpz_class & is a dirty hack, + // but works because the internal representation of mpz_class is + // exactly an mpz_t + const mpz_class & get_num() const + { return reinterpret_cast<const mpz_class &>(*mpq_numref(mp)); } + mpz_class & get_num() + { return reinterpret_cast<mpz_class &>(*mpq_numref(mp)); } + const mpz_class & get_den() const + { return reinterpret_cast<const mpz_class &>(*mpq_denref(mp)); } + mpz_class & get_den() + { return reinterpret_cast<mpz_class &>(*mpq_denref(mp)); } + + mpq_srcptr __get_mp() const { return mp; } + mpq_ptr __get_mp() { return mp; } + mpq_srcptr get_mpq_t() const { return mp; } + mpq_ptr get_mpq_t() { return mp; } + + mpz_srcptr get_num_mpz_t() const { return mpq_numref(mp); } + mpz_ptr get_num_mpz_t() { return mpq_numref(mp); } + mpz_srcptr get_den_mpz_t() const { return mpq_denref(mp); } + mpz_ptr get_den_mpz_t() { return mpq_denref(mp); } + + double get_d() const { return mpq_get_d(mp); } + + // compound assignments + __GMP_DECLARE_COMPOUND_OPERATOR(operator+=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator-=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator*=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator/=) + + __GMP_DECLARE_COMPOUND_OPERATOR_UI(operator<<=) + __GMP_DECLARE_COMPOUND_OPERATOR_UI(operator>>=) + + __GMP_DECLARE_INCREMENT_OPERATOR(operator++) + __GMP_DECLARE_INCREMENT_OPERATOR(operator--) +}; + +typedef __gmp_expr<mpq_t, mpq_t> mpq_class; + + +/**************** mpf_class -- wrapper for mpf_t ****************/ + +template <> +class __gmp_expr<mpf_t, mpf_t> +{ +private: + typedef mpf_t value_type; + value_type mp; +public: + unsigned long int get_prec() const { return mpf_get_prec(mp); } + + void set_prec(unsigned long int prec) { mpf_set_prec(mp, prec); } + void set_prec_raw(unsigned long int 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); } + __gmp_expr(const __gmp_expr &f, unsigned long int 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, unsigned long int prec) + { mpf_init2(mp, prec); __gmp_set_expr(mp, expr); } + + __gmp_expr(signed char c) { mpf_init_set_si(mp, c); } + __gmp_expr(signed char c, unsigned long int prec) + { mpf_init2(mp, prec); mpf_set_si(mp, c); } + __gmp_expr(unsigned char c) { mpf_init_set_ui(mp, c); } + __gmp_expr(unsigned char c, unsigned long int prec) + { mpf_init2(mp, prec); mpf_set_ui(mp, c); } + + __gmp_expr(signed int i) { mpf_init_set_si(mp, i); } + __gmp_expr(signed int i, unsigned long int prec) + { mpf_init2(mp, prec); mpf_set_si(mp, i); } + __gmp_expr(unsigned int i) { mpf_init_set_ui(mp, i); } + __gmp_expr(unsigned int i, unsigned long int prec) + { mpf_init2(mp, prec); mpf_set_ui(mp, i); } + + __gmp_expr(signed short int s) { mpf_init_set_si(mp, s); } + __gmp_expr(signed short int s, unsigned long int prec) + { mpf_init2(mp, prec); mpf_set_si(mp, s); } + __gmp_expr(unsigned short int s) { mpf_init_set_ui(mp, s); } + __gmp_expr(unsigned short int s, unsigned long int prec) + { mpf_init2(mp, prec); mpf_set_ui(mp, s); } + + __gmp_expr(signed long int l) { mpf_init_set_si(mp, l); } + __gmp_expr(signed long int l, unsigned long int prec) + { mpf_init2(mp, prec); mpf_set_si(mp, l); } + __gmp_expr(unsigned long int l) { mpf_init_set_ui(mp, l); } + __gmp_expr(unsigned long int l, unsigned long int prec) + { mpf_init2(mp, prec); mpf_set_ui(mp, l); } + + __gmp_expr(float f) { mpf_init_set_d(mp, f); } + __gmp_expr(float f, unsigned long int prec) + { mpf_init2(mp, prec); mpf_set_d(mp, f); } + __gmp_expr(double d) { mpf_init_set_d(mp, d); } + __gmp_expr(double d, unsigned long int 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, unsigned long int 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, unsigned long int 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, unsigned long int 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, unsigned long int prec) + { mpf_init2(mp, prec); mpf_set(mp, f); } + + ~__gmp_expr() { mpf_clear(mp); } + + // assignment operators + __gmp_expr & operator=(const __gmp_expr &f) + { mpf_set(mp, f.mp); return *this; } + template <class T, class U> + __gmp_expr<value_type, value_type> & operator=(const __gmp_expr<T, U> &expr) + { __gmp_set_expr(mp, expr); return *this; } + + __gmp_expr & operator=(signed char c) { mpf_set_si(mp, c); return *this; } + __gmp_expr & operator=(unsigned char c) { mpf_set_ui(mp, c); return *this; } + + __gmp_expr & operator=(signed int i) { mpf_set_si(mp, i); return *this; } + __gmp_expr & operator=(unsigned int i) { mpf_set_ui(mp, i); return *this; } + + __gmp_expr & operator=(signed short int s) + { mpf_set_si(mp, s); return *this; } + __gmp_expr & operator=(unsigned short int s) + { mpf_set_ui(mp, s); return *this; } + + __gmp_expr & operator=(signed long int l) + { mpf_set_si(mp, l); return *this; } + __gmp_expr & operator=(unsigned long int l) + { mpf_set_ui(mp, l); return *this; } + + __gmp_expr & operator=(float f) { mpf_set_d(mp, f); return *this; } + __gmp_expr & operator=(double d) { mpf_set_d(mp, d); return *this; } + // __gmp_expr & operator=(long double ld) + // { mpf_set_ld(mp, ld); return *this; } + + __gmp_expr & operator=(const char *s) + { + if (mpf_set_str (mp, s, 0) != 0) + throw std::invalid_argument ("mpf_set_str"); + return *this; + } + __gmp_expr & operator=(const std::string &s) + { + if (mpf_set_str(mp, s.c_str(), 0) != 0) + throw std::invalid_argument ("mpf_set_str"); + return *this; + } + + // string input/output functions + int set_str(const char *s, int base) + { return mpf_set_str(mp, s, base); } + int set_str(const std::string &s, int base) + { return mpf_set_str(mp, s.c_str(), base); } + std::string get_str(mp_exp_t &expo, int base = 10, size_t size = 0) const + { + __gmp_alloc_cstring temp(mpf_get_str(0, &expo, base, size, mp)); + return std::string(temp.str); + } + + // conversion functions + mpf_srcptr __get_mp() const { return mp; } + mpf_ptr __get_mp() { return mp; } + mpf_srcptr get_mpf_t() const { return mp; } + mpf_ptr get_mpf_t() { return mp; } + + 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); } + + // 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; + + + +/**************** I/O operators ****************/ + +// these should (and will) be provided separately + +template <class T> +inline std::ostream & operator<< +(std::ostream &o, const __gmp_expr<T, T> &expr) +{ + return o << expr.__get_mp(); +} + +template <class T, class U> +inline std::ostream & operator<< +(std::ostream &o, const __gmp_expr<T, U> &expr) +{ + __gmp_expr<T, T> 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(); +} + +inline std::istream & operator>>(std::istream &i, mpq_class &q) +{ + i >> q.get_mpq_t(); + // q.canonicalize(); // you might want to uncomment this + return i; +} + + +/**************** Functions for type conversion ****************/ + +template <> +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 <> +inline void __gmp_set_expr(mpz_ptr z, const mpq_class &q) +{ + mpz_set_q(z, q.get_mpq_t()); +} + +template <class T> +inline void __gmp_set_expr(mpz_ptr z, const __gmp_expr<mpq_t, T> &expr) +{ + mpq_class temp(expr); + mpz_set_q(z, temp.get_mpq_t()); +} + +template <class T> +inline void __gmp_set_expr(mpz_ptr z, const mpf_class &f) +{ + mpz_set_f(z, f.get_mpf_t()); +} + +template <class T> +inline void __gmp_set_expr(mpz_ptr z, const __gmp_expr<mpf_t, T> &expr) +{ + mpf_class temp(expr); + mpz_set_f(z, temp.get_mpf_t()); +} + +template <> +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) +{ + mpz_class temp(expr); + mpq_set_z(q, temp.get_mpz_t()); +} + +template <> +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 mpf_class &f) +{ + mpq_set_f(q, f.get_mpf_t()); +} + +template <class T> +inline void __gmp_set_expr(mpq_ptr q, const __gmp_expr<mpf_t, T> &expr) +{ + mpf_class temp(expr); + mpq_set_f(q, temp.get_mpf_t()); +} + +template <class T> +inline void __gmp_set_expr(mpf_ptr f, const mpz_class &z) +{ + mpf_set_z(f, z.get_mpz_t()); +} + +template <class T> +inline void __gmp_set_expr(mpf_ptr f, const __gmp_expr<mpz_t, T> &expr) +{ + mpz_class temp(expr); + mpf_set_z(f, temp.get_mpz_t()); +} + +template <class T> +inline void __gmp_set_expr(mpf_ptr f, const mpq_class &q) +{ + mpf_set_q(f, q.get_mpq_t()); +} + +template <class T> +inline void __gmp_set_expr(mpf_ptr f, const __gmp_expr<mpq_t, T> &expr) +{ + mpq_class temp(expr); + mpf_set_q(f, temp.get_mpq_t()); +} + +template <> +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, mpf_get_prec(f)); +} + + +/**************** 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: + __gmp_expr(const val_type &val) : expr(val) { } + void eval(typename __gmp_resolve_expr<T>::ptr_type p, + unsigned long int = 0) const + { Op::eval(p, expr.val.__get_mp()); } + const val_type & get_val() const { return expr.val; } + unsigned long int get_prec() const { return expr.val.get_prec(); } +}; + + +// compound expressions + +template <class T, class U, class Op> +class __gmp_expr<T, __gmp_unary_expr<__gmp_expr<T, U>, Op> > +{ +private: + typedef __gmp_expr<T, U> val_type; + + __gmp_unary_expr<val_type, Op> expr; +public: + __gmp_expr(const val_type &val) : expr(val) { } + void eval(typename __gmp_resolve_expr<T>::ptr_type p) const + { __gmp_expr<T, T> temp(expr.val); Op::eval(p, temp.__get_mp()); } + void eval(typename __gmp_resolve_expr<T>::ptr_type p, + unsigned long int prec) const + { __gmp_expr<T, T> temp(expr.val, prec); Op::eval(p, temp.__get_mp()); } + const val_type & get_val() const { return expr.val; } + unsigned long int 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, + unsigned long int = 0) 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; } + unsigned long int get_prec() const + { + unsigned long int prec1 = expr.val1.get_prec(), + prec2 = expr.val2.get_prec(); + return (prec1 > prec2) ? prec1 : prec2; + } +}; + + +// simple expressions, T is a built-in numerical type + +template <class T, class U, class Op> +class __gmp_expr<T, __gmp_binary_expr<__gmp_expr<T, T>, U, Op> > +{ +private: + typedef __gmp_expr<T, T> val1_type; + typedef U val2_type; + + __gmp_binary_expr<val1_type, val2_type, Op> expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr<T>::ptr_type p, + unsigned long int = 0) 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; } + unsigned long int 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, + unsigned long int = 0) 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; } + unsigned long int 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 + { + __gmp_expr<T, T> temp(expr.val2); + Op::eval(p, expr.val1.__get_mp(), temp.__get_mp()); + } + void eval(typename __gmp_resolve_expr<T>::ptr_type p, + unsigned long int prec) const + { + __gmp_expr<T, T> temp(expr.val2, prec); + 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; } + unsigned long int get_prec() const + { + unsigned long int 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 + { + __gmp_expr<T, T> temp(expr.val1); + Op::eval(p, temp.__get_mp(), expr.val2.__get_mp()); + } + void eval(typename __gmp_resolve_expr<T>::ptr_type p, + unsigned long int prec) const + { + __gmp_expr<T, T> temp(expr.val1, prec); + 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; } + unsigned long int get_prec() const + { + unsigned long int 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 + { + __gmp_expr<T, T> temp(expr.val2); + Op::eval(p, expr.val1.__get_mp(), temp.__get_mp()); + } + void eval(typename __gmp_resolve_expr<T>::ptr_type p, + unsigned long int prec) const + { + __gmp_expr<T, T> temp(expr.val2, prec); + 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; } + unsigned long int get_prec() const + { + unsigned long int 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 + { + __gmp_expr<T, T> temp(expr.val1); + Op::eval(p, temp.__get_mp(), expr.val2.__get_mp()); + } + void eval(typename __gmp_resolve_expr<T>::ptr_type p, + unsigned long int prec) const + { + __gmp_expr<T, T> temp(expr.val1, prec); + 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; } + unsigned long int get_prec() const + { + unsigned long int 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 + { + __gmp_expr<T, T> temp(expr.val1); + Op::eval(p, temp.__get_mp(), expr.val2); + } + void eval(typename __gmp_resolve_expr<T>::ptr_type p, + unsigned long int prec) const + { + __gmp_expr<T, T> temp(expr.val1, prec); + Op::eval(p, temp.__get_mp(), expr.val2); + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + unsigned long int 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 + { + __gmp_expr<T, T> temp(expr.val2); + Op::eval(p, expr.val1, temp.__get_mp()); + } + void eval(typename __gmp_resolve_expr<T>::ptr_type p, + unsigned long int prec) const + { + __gmp_expr<T, T> temp(expr.val2, prec); + Op::eval(p, expr.val1, temp.__get_mp()); + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + unsigned long int 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_expr<T, T> temp1(expr.val1), temp2(expr.val2); + Op::eval(p, temp1.__get_mp(), temp2.__get_mp()); + } + void eval(typename __gmp_resolve_expr<T>::ptr_type p, + unsigned long int prec) const + { + __gmp_expr<T, T> temp1(expr.val1, prec), temp2(expr.val2, prec); + Op::eval(p, temp1.__get_mp(), temp2.__get_mp()); + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + unsigned long int get_prec() const + { + unsigned long int 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_expr<T, T> temp1(expr.val1), temp2(expr.val2); + Op::eval(p, temp1.__get_mp(), temp2.__get_mp()); + } + void eval(typename __gmp_resolve_expr<T>::ptr_type p, + unsigned long int prec) const + { + __gmp_expr<T, T> temp1(expr.val1, prec), temp2(expr.val2, prec); + Op::eval(p, temp1.__get_mp(), temp2.__get_mp()); + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + unsigned long int get_prec() const + { + unsigned long int 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_expr<T, T> temp1(expr.val1), temp2(expr.val2); + Op::eval(p, temp1.__get_mp(), temp2.__get_mp()); + } + void eval(typename __gmp_resolve_expr<T>::ptr_type p, + unsigned long int prec) const + { + __gmp_expr<T, T> temp1(expr.val1, prec), temp2(expr.val2, prec); + Op::eval(p, temp1.__get_mp(), temp2.__get_mp()); + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + unsigned long int get_prec() const + { + unsigned long int 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; } \ + unsigned long int 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; } \ + unsigned long int 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; } \ + unsigned long int 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; } \ + unsigned long int 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; } \ + unsigned long int 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; } \ + unsigned long int 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); \ + mpq_class temp2(expr.val2); \ + eval_fun::eval(q, temp1.get_mpz_t(), temp2.get_mpq_t()); \ + } \ + const val1_type & get_val1() const { return expr.val1; } \ + const val2_type & get_val2() const { return expr.val2; } \ + unsigned long int 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 \ + { \ + mpq_class temp1(expr.val1); \ + mpz_class temp2(expr.val2); \ + eval_fun::eval(q, temp1.get_mpq_t(), temp2.get_mpz_t()); \ + } \ + const val1_type & get_val1() const { return expr.val1; } \ + const val2_type & get_val2() const { return expr.val2; } \ + unsigned long int get_prec() const { return mpf_get_default_prec(); } \ +}; + + +__GMPZQ_DEFINE_EXPR(__gmp_binary_plus) +__GMPZQ_DEFINE_EXPR(__gmp_binary_minus) + + + +/**************** Macros for defining functions ****************/ +/* Results of operators and functions are instances of __gmp_expr<T, U>. + T determines the numerical type of the expression: it can be either + mpz_t, mpq_t, or mpf_t. When the arguments of a binary + expression have different numerical types, __gmp_resolve_expr is used + to determine the "larger" type. + U is either __gmp_unary_expr<V, Op> or __gmp_binary_expr<V, W, Op>, + where V and W are the arguments' types -- they can in turn be + expressions, thus allowing to build compound expressions to any + degree of complexity. + Op is a function object that must have an eval() method accepting + appropriate arguments. + Actual evaluation of a __gmp_expr<T, U> object is done when it gets + assigned to an mp*_class ("lazy" evaluation): this is done by calling + its eval() method. */ + + +// non-member unary operators and functions + +#define __GMP_DEFINE_UNARY_FUNCTION(fun, eval_fun) \ + \ +template <class T, class U> \ +inline __gmp_expr<T, __gmp_unary_expr<__gmp_expr<T, U>, eval_fun> > \ +fun(const __gmp_expr<T, U> &expr) \ +{ \ + return __gmp_expr<T, __gmp_unary_expr<__gmp_expr<T, U>, eval_fun> >(expr); \ +} + +#define __GMP_DEFINE_UNARY_TYPE_FUNCTION(type, fun, eval_fun) \ + \ +template <class T, class U> \ +inline type fun(const __gmp_expr<T, U> &expr) \ +{ \ + typename __gmp_resolve_temp<T, T, U>::temp_type 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) + + +#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>, unsigned long int, eval_fun> > \ +fun(const __gmp_expr<T, U> &expr, unsigned long int l) \ +{ \ + return __gmp_expr<T, __gmp_binary_expr \ + <__gmp_expr<T, U>, unsigned long int, eval_fun> >(expr, l); \ +} + + +#define __GMPP_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun) \ + \ +template <class T, class U, class V, class W> \ +inline type fun(const __gmp_expr<T, U> &expr1, \ + const __gmp_expr<V, W> &expr2) \ +{ \ + typedef typename __gmp_resolve_expr<T, V>::value_type eval_type; \ + typename __gmp_resolve_temp<eval_type, T, U>::temp_type temp1(expr1); \ + typename __gmp_resolve_temp<eval_type, V, W>::temp_type 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) \ +{ \ + typename __gmp_resolve_temp<T, T, U>::temp_type 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) \ +{ \ + typename __gmp_resolve_temp<T, T, U>::temp_type 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 __GMPZZ_DEFINE_COMPOUND_OPERATOR(fun, eval_fun) \ +__GMPP_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(unsigned long int l) \ +{ \ + __gmp_set_expr(mp, __gmp_expr<type##_t, __gmp_binary_expr \ + <type##_class, unsigned long int, eval_fun> >(*this, l)); \ + return *this; \ +} + +#define __GMPZ_DEFINE_COMPOUND_OPERATOR_UI(fun, eval_fun) \ +__GMP_DEFINE_COMPOUND_OPERATOR_UI(mpz, fun, eval_fun) + +#define __GMPQ_DEFINE_COMPOUND_OPERATOR_UI(fun, eval_fun) \ +__GMP_DEFINE_COMPOUND_OPERATOR_UI(mpq, fun, eval_fun) + +#define __GMPF_DEFINE_COMPOUND_OPERATOR_UI(fun, eval_fun) \ +__GMP_DEFINE_COMPOUND_OPERATOR_UI(mpf, fun, eval_fun) + + + +#define __GMP_DEFINE_INCREMENT_OPERATOR(type, fun, eval_fun) \ + \ +inline type##_class & type##_class::fun() \ +{ \ + eval_fun::eval(mp); \ + return *this; \ +} \ + \ +inline type##_class type##_class::fun(int) \ +{ \ + type##_class temp(*this); \ + eval_fun::eval(mp); \ + return temp; \ +} + +#define __GMPZ_DEFINE_INCREMENT_OPERATOR(fun, eval_fun) \ +__GMP_DEFINE_INCREMENT_OPERATOR(mpz, fun, eval_fun) + +#define __GMPQ_DEFINE_INCREMENT_OPERATOR(fun, eval_fun) \ +__GMP_DEFINE_INCREMENT_OPERATOR(mpq, fun, eval_fun) + +#define __GMPF_DEFINE_INCREMENT_OPERATOR(fun, eval_fun) \ +__GMP_DEFINE_INCREMENT_OPERATOR(mpf, fun, eval_fun) + + + +/**************** Arithmetic operators and functions ****************/ + +// non-member operators and functions + +__GMP_DEFINE_UNARY_FUNCTION(operator+, __gmp_unary_plus) +__GMP_DEFINE_UNARY_FUNCTION(operator-, __gmp_unary_minus) +__GMP_DEFINE_UNARY_FUNCTION(operator~, __gmp_unary_com) + +__GMP_DEFINE_BINARY_FUNCTION(operator+, __gmp_binary_plus) +__GMP_DEFINE_BINARY_FUNCTION(operator-, __gmp_binary_minus) +__GMP_DEFINE_BINARY_FUNCTION(operator*, __gmp_binary_multiplies) +__GMP_DEFINE_BINARY_FUNCTION(operator/, __gmp_binary_divides) +__GMP_DEFINE_BINARY_FUNCTION(operator%, __gmp_binary_modulus) +__GMP_DEFINE_BINARY_FUNCTION(operator&, __gmp_binary_and) +__GMP_DEFINE_BINARY_FUNCTION(operator|, __gmp_binary_ior) +__GMP_DEFINE_BINARY_FUNCTION(operator^, __gmp_binary_xor) + +__GMP_DEFINE_BINARY_FUNCTION_UI(operator<<, __gmp_binary_lshift) +__GMP_DEFINE_BINARY_FUNCTION_UI(operator>>, __gmp_binary_rshift) + +__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator==, __gmp_binary_equal) +__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator!=, __gmp_binary_not_equal) +__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator<, __gmp_binary_less) +__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator<=, __gmp_binary_less_equal) +__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator>, __gmp_binary_greater) +__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator>=, \ + __gmp_binary_greater_equal) + +__GMP_DEFINE_UNARY_FUNCTION(abs, __gmp_abs_function) +__GMP_DEFINE_UNARY_FUNCTION(trunc, __gmp_trunc_function) +__GMP_DEFINE_UNARY_FUNCTION(floor, __gmp_floor_function) +__GMP_DEFINE_UNARY_FUNCTION(ceil, __gmp_ceil_function) +__GMP_DEFINE_UNARY_FUNCTION(sqrt, __gmp_sqrt_function) +__GMP_DEFINE_BINARY_FUNCTION(hypot, __gmp_hypot_function) + +__GMP_DEFINE_UNARY_TYPE_FUNCTION(int, sgn, __gmp_sgn_function) +__GMP_DEFINE_BINARY_TYPE_FUNCTION(int, cmp, __gmp_cmp_function) + +// 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) + +__GMPZZ_DEFINE_COMPOUND_OPERATOR(operator&=, __gmp_binary_and) +__GMPZZ_DEFINE_COMPOUND_OPERATOR(operator|=, __gmp_binary_ior) +__GMPZZ_DEFINE_COMPOUND_OPERATOR(operator^=, __gmp_binary_xor) + +__GMPZ_DEFINE_COMPOUND_OPERATOR_UI(operator<<=, __gmp_binary_lshift) +__GMPZ_DEFINE_COMPOUND_OPERATOR_UI(operator>>=, __gmp_binary_rshift) + +__GMPZ_DEFINE_INCREMENT_OPERATOR(operator++, __gmp_unary_increment) +__GMPZ_DEFINE_INCREMENT_OPERATOR(operator--, __gmp_unary_decrement) + +// member operators for mpq_class + +__GMPQ_DEFINE_COMPOUND_OPERATOR(operator+=, __gmp_binary_plus) +__GMPQ_DEFINE_COMPOUND_OPERATOR(operator-=, __gmp_binary_minus) +__GMPQ_DEFINE_COMPOUND_OPERATOR(operator*=, __gmp_binary_multiplies) +__GMPQ_DEFINE_COMPOUND_OPERATOR(operator/=, __gmp_binary_divides) + +__GMPQ_DEFINE_COMPOUND_OPERATOR_UI(operator<<=, __gmp_binary_lshift) +__GMPQ_DEFINE_COMPOUND_OPERATOR_UI(operator>>=, __gmp_binary_rshift) + +__GMPQ_DEFINE_INCREMENT_OPERATOR(operator++, __gmp_unary_increment) +__GMPQ_DEFINE_INCREMENT_OPERATOR(operator--, __gmp_unary_decrement) + +// member operators for mpf_class + +__GMPF_DEFINE_COMPOUND_OPERATOR(operator+=, __gmp_binary_plus) +__GMPF_DEFINE_COMPOUND_OPERATOR(operator-=, __gmp_binary_minus) +__GMPF_DEFINE_COMPOUND_OPERATOR(operator*=, __gmp_binary_multiplies) +__GMPF_DEFINE_COMPOUND_OPERATOR(operator/=, __gmp_binary_divides) + +__GMPF_DEFINE_COMPOUND_OPERATOR_UI(operator<<=, __gmp_binary_lshift) +__GMPF_DEFINE_COMPOUND_OPERATOR_UI(operator>>=, __gmp_binary_rshift) + +__GMPF_DEFINE_INCREMENT_OPERATOR(operator++, __gmp_unary_increment) +__GMPF_DEFINE_INCREMENT_OPERATOR(operator--, __gmp_unary_decrement) + + + +/**************** Class wrapper for gmp_randstate_t ****************/ + +class __gmp_urandomb_value { }; +class __gmp_urandomm_value { }; + +template <> +class __gmp_expr<mpz_t, __gmp_urandomb_value> +{ +private: + __gmp_randstate_struct *state; + unsigned long int bits; +public: + __gmp_expr(gmp_randstate_t s, unsigned long int l) : state(s), bits(l) { } + void eval(mpz_ptr z) const { __gmp_rand_function::eval(z, state, bits); } + unsigned long int 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()); } + unsigned long int get_prec() const { return mpf_get_default_prec(); } +}; + +template <> +class __gmp_expr<mpf_t, __gmp_urandomb_value> +{ +private: + __gmp_randstate_struct *state; + unsigned long int bits; +public: + __gmp_expr(gmp_randstate_t s, unsigned long int l) : state(s), bits(l) { } + void eval(mpf_ptr f, unsigned long int prec) const + { __gmp_rand_function::eval(f, state, (bits>0) ? get_prec() : prec); } + unsigned long int 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, unsigned long int); + typedef int __gmp_randinit_lc_2exp_size_t (gmp_randstate_t, unsigned long int); +} + +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, unsigned long int l2) + { f(state, z.get_mpz_t(), l1, l2); } + + // gmp_randinit_lc_2exp_size + gmp_randclass(__gmp_randinit_lc_2exp_size_t* f, + unsigned long int 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(unsigned long int 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()); } + + __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(unsigned long int prec = 0) + { return __gmp_expr<mpf_t, __gmp_urandomb_value>(state, prec); } +}; + + +/**************** #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 __GMPZQ_DEFINE_EXPR +#undef __GMP_DEFINE_TERNARY_EXPR + +#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 __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 __GMPZ_DEFINE_COMPOUND_OPERATOR +#undef __GMPZZ_DEFINE_COMPOUND_OPERATOR +#undef __GMPZN_DEFINE_COMPOUND_OPERATOR +#undef __GMPZNN_DEFINE_COMPOUND_OPERATOR +#undef __GMPZNS_DEFINE_COMPOUND_OPERATOR +#undef __GMPZNU_DEFINE_COMPOUND_OPERATOR +#undef __GMPZND_DEFINE_COMPOUND_OPERATOR +#undef __GMPZNLD_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 __GMPZ_DEFINE_COMPOUND_OPERATOR +#undef __GMPZZ_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 + +#endif /* __GMP_PLUSPLUS__ */ |