Root Extraction Functions

Function: int mpz_root (mpz_t rop, mpz_t op, unsigned long int n)

@ifnottex Set rop to the truncated integer part of the nth root of op. Return non-zero if the computation was exact, i.e., if op is rop to the nth power.

Function: void mpz_sqrt (mpz_t rop, mpz_t op)

@ifnottex Set rop to the truncated integer part of the square root of op.

Function: void mpz_sqrtrem (mpz_t rop1, mpz_t rop2, mpz_t op)

@ifnottex Set rop1 to the truncated integer part of the square root of op, like mpz_sqrt. Set rop2 to op-rop1*rop1, (i.e., zero if op is a perfect square).

If rop1 and rop2 are the same variable, the results are undefined.

Function: int mpz_perfect_power_p (mpz_t op)

@ifnottex Return non-zero if op is a perfect power, i.e., if there exist integers a and b, with b > 1, such that op equals a raised to b. Return zero otherwise.

Function: int mpz_perfect_square_p (mpz_t op)

Return non-zero if op is a perfect square, i.e., if the square root of op is an integer. Return zero otherwise.

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