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(gmp.info)Integer Exponentiation

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Exponentiation Functions
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 - Function: void mpz_powm (mpz_t ROP, mpz_t BASE, mpz_t EXP, mpz_t MOD)
 - Function: void mpz_powm_ui (mpz_t ROP, mpz_t BASE, unsigned long int
          EXP, mpz_t MOD)
     Set ROP to (BASE raised to EXP) modulo MOD.

     Negative EXP is supported if an inverse BASE^-1 mod MOD exists
     (see `mpz_invert' in Note: Number Theoretic Functions).  If an
     inverse doesn't exist then a divide by zero is raised.

 - Function: void mpz_pow_ui (mpz_t ROP, mpz_t BASE, unsigned long int
          EXP)
 - Function: void mpz_ui_pow_ui (mpz_t ROP, unsigned long int BASE,
          unsigned long int EXP)
     Set ROP to BASE raised to EXP.  The case 0^0 yields 1.