gmp_lib.mpz_jacobi Method

GMP Native Interface for .NET

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gmp_libmpz_jacobi Method
Calculate the Jacobi symbol (a/b).

Namespace:  Math.Gmp.Native
Assembly:  Math.Gmp.Native (in Math.Gmp.Native.dll) Version: 1.0.0.0 (1.0.0.0)
Syntax
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public static int mpz_jacobi(
	mpz_t a,
	mpz_t b
)
Public Shared Function mpz_jacobi ( 
	a As mpz_t,
	b As mpz_t
) As Integer
public:
static int mpz_jacobi(
	mpz_t^ a, 
	mpz_t^ b
)
static member mpz_jacobi : 
        a : mpz_t * 
        b : mpz_t -> int

Parameters

a
Type: Math.Gmp.Nativempz_t
The first operand integer.
b
Type: Math.Gmp.Nativempz_t
The second operand integer.

Return Value

Type: Int32
The Jacobi symbol (a/b).
Remarks

This is defined only for b odd.

Examples
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// Create, initialize, and set the value of a to 11.
mpz_t a = new mpz_t();
gmp_lib.mpz_init_set_ui(a, 11U);

// Create, initialize, and set the value of b to 9.
mpz_t b = new mpz_t();
gmp_lib.mpz_init_set_ui(b, 9U);

// Assert that the Jacobi symbol of (a/b) is 1.
Assert.IsTrue(gmp_lib.mpz_jacobi(a, b) == 1);

// Release unmanaged memory allocated for a and b.
gmp_lib.mpz_clears(a, b, null);
' Create, initialize, and set the value of a to 11.
Dim a As New mpz_t()
gmp_lib.mpz_init_set_ui(a, 11UI)

' Create, initialize, and set the value of b to 9.
Dim b As New mpz_t()
gmp_lib.mpz_init_set_ui(b, 9UI)

' Assert that the Jacobi symbol of (a/b) is 1.
Assert.IsTrue(gmp_lib.mpz_jacobi(a, b) = 1)

' Release unmanaged memory allocated for a and b.
gmp_lib.mpz_clears(a, b, Nothing)

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
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