| gmp_libmpz_kronecker_si Method |
Calculate the Jacobi symbol (a/b) with the Kronecker extension (a/2) = (2/a) when a odd, or (a/2) = 0 when a even.
Namespace: Math.Gmp.Native
Assembly: Math.Gmp.Native (in Math.Gmp.Native.dll) Version: 1.0.0.0 (1.0.0.0)
Syntaxpublic static int mpz_kronecker_si( mpz_t a, int b )
Public Shared Function mpz_kronecker_si ( a As mpz_t, b As Integer ) As Integer
public: static int mpz_kronecker_si( mpz_t^ a, int b )
static member mpz_kronecker_si : a : mpz_t * b : int -> int
Parameters
- a
- Type: Math.Gmp.Nativempz_t
The first operand integer. - b
- Type: SystemInt32
The second operand integer.
Return Value
Type: Int32The Jacobi symbol (a/b) with the Kronecker extension (a/2) = (2/a) when a odd, or (a/2) = 0 when a even.
RemarksWhen b is odd the Jacobi symbol and Kronecker symbol are identical, so mpz_kronecker_ui, etc. can be used for mixed precision Jacobi symbols too.
Examples// Create, initialize, and set the value of a to 15. mpz_t a = new mpz_t(); gmp_lib.mpz_init_set_ui(a, 15U); // Assert that the Kronecker symbol of (a/4) is 1. Assert.IsTrue(gmp_lib.mpz_kronecker_si(a, 4) == 1); // Release unmanaged memory allocated for a. gmp_lib.mpz_clear(a);
' Create, initialize, and set the value of a to 15. Dim a As New mpz_t() gmp_lib.mpz_init_set_ui(a, 15UI) ' Assert that the Kronecker symbol of (a/4) is 1. Assert.IsTrue(gmp_lib.mpz_kronecker_si(a, 4) = 1) ' Release unmanaged memory allocated for a. gmp_lib.mpz_clear(a)
No code example is currently available or this language may not be supported.
No code example is currently available or this language may not be supported.
See Also