gmp_lib.mpz_lucnum2_ui Method

GMP Native Interface for .NET

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gmp_libmpz_lucnum2_ui Method
Sets ln to L[n], and lnsub1 to L[n - 1].

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 void mpz_lucnum2_ui(
	mpz_t ln,
	mpz_t lnsub1,
	uint n
)
Public Shared Sub mpz_lucnum2_ui ( 
	ln As mpz_t,
	lnsub1 As mpz_t,
	n As UInteger
)
public:
static void mpz_lucnum2_ui(
	mpz_t^ ln, 
	mpz_t^ lnsub1, 
	unsigned int n
)
static member mpz_lucnum2_ui : 
        ln : mpz_t * 
        lnsub1 : mpz_t * 
        n : uint32 -> unit

Parameters

ln
Type: Math.Gmp.Nativempz_t
The L[n] result.
lnsub1
Type: Math.Gmp.Nativempz_t
The L[n - 1] result.
n
Type: SystemUInt32
The operand integer.
Remarks

This function is designed for calculating isolated Lucas numbers. When a sequence of values is wanted it’s best to start with mpz_lucnum2_ui and iterate the defining L[n + 1] = L[n] + L[n - 1] or similar.

The Fibonacci numbers and Lucas numbers are related sequences, so it’s never necessary to call both mpz_fib2_ui and mpz_lucnum2_ui. The formulas for going from Fibonacci to Lucas can be found in GNU MP - Lucas Numbers Algorithm, the reverse is straightforward too.

Examples
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// Create, initialize, and set the values of lnsub1 and ln to 0.
mpz_t ln = new mpz_t();
mpz_t lnsub1 = new mpz_t();
gmp_lib.mpz_inits(ln, lnsub1, null);

// Set lnsub1 and ln to the 8'th and 9'th Lucas nunbers respectively.
gmp_lib.mpz_lucnum2_ui(ln, lnsub1, 9U);

// Assert that lnsub1 and ln are respectively 47 and 76.
Assert.IsTrue(gmp_lib.mpz_get_si(lnsub1) == 47);
Assert.IsTrue(gmp_lib.mpz_get_si(ln) == 76);

// Release unmanaged memory allocated for ln and lnsub1.
gmp_lib.mpz_clears(ln, lnsub1, null);
' Create, initialize, and set the values of lnsub1 and ln to 0.
Dim ln As New mpz_t()
Dim lnsub1 As New mpz_t()
gmp_lib.mpz_inits(ln, lnsub1, Nothing)

' Set lnsub1 and ln to the 8'th and 9'th Lucas nunbers respectively.
gmp_lib.mpz_lucnum2_ui(ln, lnsub1, 9UI)

' Assert that lnsub1 and ln are respectively 47 and 76.
Assert.IsTrue(gmp_lib.mpz_get_si(lnsub1) = 47)
Assert.IsTrue(gmp_lib.mpz_get_si(ln) = 76)

' Release unmanaged memory allocated for ln and lnsub1.
gmp_lib.mpz_clears(ln, lnsub1, 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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