C++ Interface Integers (GNU MP 6.3.0)
Description: How to install and use the GNU multiple precision arithmetic library, version 6.3.0.

### 12.2 C++ Interface Integers ¶

Function: mpz_class::mpz_class `(type n)` ¶

  Construct an `mpz_class`. All the standard C++ types may be used, except `long long` and `long double`, and all the GMP C++ classes can be used, although conversions from `mpq_class` and `mpf_class` are `explicit`. Any necessary conversion follows the corresponding C function, for example `double` follows `mpz_set_d` (see Assignment Functions).

Function: `explicit` mpz_class::mpz_class `(const mpz_t z)` ¶

  Construct an `mpz_class` from an `mpz_t`. The value in z is copied into the new `mpz_class`, there won’t be any permanent association between it and z.

Function: `explicit` mpz_class::mpz_class `(const char *s, int base = 0)` ¶
Function: `explicit` mpz_class::mpz_class `(const string& s, int base = 0)` ¶

  Construct an `mpz_class` converted from a string using `mpz_set_str` (see Assignment Functions).

  If the string is not a valid integer, an `std::invalid_argument` exception is thrown. The same applies to `operator=`.

Function: `mpz_class` operator"" `_mpz (const char *str)` ¶

  With C++11 compilers, integers can be constructed with the syntax `123_mpz` which is equivalent to `mpz_class("123")`.

Function: `mpz_class` operator/ `(mpz_class a, mpz_class d)` ¶
Function: `mpz_class` operator% `(mpz_class a, mpz_class d)` ¶

  Divisions involving `mpz_class` round towards zero, as per the `mpz_tdiv_q` and `mpz_tdiv_r` functions (see Division Functions). This is the same as the C99 `/` and `%` operators.

  The `mpz_fdiv…` or `mpz_cdiv…` functions can always be called directly if desired. For example,

      mpz_class q, a, d;
      ...
      mpz_fdiv_q (q.get_mpz_t(), a.get_mpz_t(), d.get_mpz_t());

Function: `mpz_class` abs `(mpz_class op)` ¶
Function: `int` cmp `(mpz_class op1, type op2)` ¶
Function: `int` cmp `(type op1, mpz_class op2)` ¶
Function: `bool` mpz_class::fits_sint_p `(void)` ¶
Function: `bool` mpz_class::fits_slong_p `(void)` ¶
Function: `bool` mpz_class::fits_sshort_p `(void)` ¶
Function: `bool` mpz_class::fits_uint_p `(void)` ¶
Function: `bool` mpz_class::fits_ulong_p `(void)` ¶
Function: `bool` mpz_class::fits_ushort_p `(void)` ¶
Function: `double` mpz_class::get_d `(void)` ¶
Function: `long` mpz_class::get_si `(void)` ¶
Function: `string` mpz_class::get_str `(int base = 10)` ¶
Function: `unsigned long` mpz_class::get_ui `(void)` ¶
Function: `int` mpz_class::set_str `(const char *str, int base)` ¶
Function: `int` mpz_class::set_str `(const string& str, int base)` ¶
Function: `int` sgn `(mpz_class op)` ¶
Function: `mpz_class` sqrt `(mpz_class op)` ¶
Function: `mpz_class` gcd `(mpz_class op1, mpz_class op2)` ¶
Function: `mpz_class` lcm `(mpz_class op1, mpz_class op2)` ¶
Function: `mpz_class` mpz_class::factorial `(type op)` ¶
Function: `mpz_class` factorial `(mpz_class op)` ¶
Function: `mpz_class` mpz_class::primorial `(type op)` ¶
Function: `mpz_class` primorial `(mpz_class op)` ¶
Function: `mpz_class` mpz_class::fibonacci `(type op)` ¶
Function: `mpz_class` fibonacci `(mpz_class op)` ¶
Function: `void` mpz_class::swap `(mpz_class& op)` ¶
Function: `void` swap `(mpz_class& op1, mpz_class& op2)` ¶

  These functions provide a C++ class interface to the corresponding GMP C routines. Calling `factorial` or `primorial` on a negative number is undefined.

  `cmp` can be used with any of the classes or the standard C++ types, except `long long` and `long double`.

Overloaded operators for combinations of `mpz_class` and `double` are provided for completeness, but it should be noted that if the given `double` is not an integer then the way any rounding is done is currently unspecified. The rounding might take place at the start, in the middle, or at the end of the operation, and it might change in the future.

Conversions between `mpz_class` and `double`, however, are defined to follow the corresponding C functions `mpz_get_d` and `mpz_set_d`. And comparisons are always made exactly, as per `mpz_cmp_d`.