Comparing Rationals (GNU MP 6.3.0)
Description: How to install and use the GNU multiple precision arithmetic library, version 6.3.0.

### 6.4 Comparison Functions

Function: `int` mpq_cmp `(const mpq_t op1, const mpq_t op2)` ¶
Function: `int` mpq_cmp_z `(const mpq_t op1, const mpz_t op2)` ¶

  Compare op1 and op2. Return a positive value if op1 > op2, zero if op1 = op2, and a negative value if op1 < op2.

  To determine if two rationals are equal, `mpq_equal` is faster than `mpq_cmp`.

Macro: `int` mpq_cmp_ui `(const mpq_t op1, unsigned long int num2, unsigned long int den2)` ¶
Macro: `int` mpq_cmp_si `(const mpq_t op1, long int num2, unsigned long int den2)` ¶

  Compare op1 and num2/den2. Return a positive value if op1 > num2/den2, zero if op1 = num2/den2, and a negative value if op1 < num2/den2.

  num2 and den2 are allowed to have common factors.

  These functions are implemented as macros and evaluate their arguments multiple times.

Macro: `int` mpq_sgn `(const mpq_t op)` ¶

  Return +1 if op > 0, 0 if op = 0, and -1 if op < 0.

  This function is actually implemented as a macro. It evaluates its argument multiple times.

Function: `int` mpq_equal `(const mpq_t op1, const mpq_t op2)` ¶

  Return non-zero if op1 and op2 are equal, zero if they are non-equal. Although `mpq_cmp` can be used for the same purpose, this function is much faster.