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gmp_libmpz_powm_ui Method
Set rop to (base^exp) modulo mod.

Namespace:  Math.Gmp.Native
Assembly:  Math.Gmp.Native (in Math.Gmp.Native.dll) Version: 1.0.0.0 (1.0.0.0)
Syntax
public static void mpz_powm_ui(
	mpz_t rop,
	mpz_t base,
	uint exp,
	mpz_t mod
)

Parameters

rop
Type: Math.Gmp.Nativempz_t
The result integer.
base
Type: Math.Gmp.Nativempz_t
The base integer.
exp
Type: SystemUInt32
The exponent integer.
mod
Type: Math.Gmp.Nativempz_t
The modulo integer.
Remarks

Negative exp is supported if an inverse base^-1 modulo mod exists (see mpz_invert). If an inverse doesn’t exist then a divide by zero is raised.

Examples
// Create, initialize, and set the value of base to 2.
mpz_t @base = new mpz_t();
gmp_lib.mpz_init_set_ui(@base, 2U);

mpz_t mod = new mpz_t();
gmp_lib.mpz_init_set_ui(mod, 3U);

// Create, initialize, and set the value of rop to 0.
mpz_t rop = new mpz_t();
gmp_lib.mpz_init(rop);

// Set rop = base^4 mod mod.
gmp_lib.mpz_powm_ui(rop, @base, 4U, mod);

// Assert that rop is 1.
Assert.IsTrue(gmp_lib.mpz_get_si(rop) == 1);

// Release unmanaged memory allocated for rop, base, and mod.
gmp_lib.mpz_clears(rop, @base, mod, null);
See Also