gmp_lib.mpz_fib2_ui Method

GMP Native Interface for .NET

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gmp_libmpz_fib2_ui Method
Sets fn to F[n], and fnsub1 to F[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
Copy
public static void mpz_fib2_ui(
	mpz_t fn,
	mpz_t fnsub1,
	uint n
)
Public Shared Sub mpz_fib2_ui ( 
	fn As mpz_t,
	fnsub1 As mpz_t,
	n As UInteger
)
public:
static void mpz_fib2_ui(
	mpz_t^ fn, 
	mpz_t^ fnsub1, 
	unsigned int n
)
static member mpz_fib2_ui : 
        fn : mpz_t * 
        fnsub1 : mpz_t * 
        n : uint32 -> unit

Parameters

fn
Type: Math.Gmp.Nativempz_t
The F[n] result.
fnsub1
Type: Math.Gmp.Nativempz_t
The F[n - 1] result.
n
Type: SystemUInt32
The operand integer.
Remarks

This function is designed for calculating isolated Fibonacci numbers. When a sequence of values is wanted it’s best to start with mpz_fib2_ui and iterate the defining F[n + 1] = F[n] + F[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 fn and fnsub1 to 0.
mpz_t fn = new mpz_t();
mpz_t fnsub1 = new mpz_t();
gmp_lib.mpz_inits(fn, fnsub1, null);

// Set fnsub1 and fn to the 19'th and 20'th Fibonacci numbers respectively.
gmp_lib.mpz_fib2_ui(fn, fnsub1, 20U);

// Assert that fnsub1 and fn are respectively 4181 and 6765.
Assert.IsTrue(gmp_lib.mpz_get_si(fnsub1) == 4181);
Assert.IsTrue(gmp_lib.mpz_get_si(fn) == 6765);

// Release unmanaged memory allocated for fn and fnsub1.
gmp_lib.mpz_clears(fn, fnsub1, null);
' Create, initialize, and set the values of fn and fnsub1 to 0.
Dim fn As New mpz_t()
Dim fnsub1 As New mpz_t()
gmp_lib.mpz_inits(fn, fnsub1, Nothing)

' Set fnsub1 and fn to the 19'th and 20'th Fibonacci numbers respectively.
gmp_lib.mpz_fib2_ui(fn, fnsub1, 20UI)

' Assert that fnsub1 and fn are respectively 4181 and 6765.
Assert.IsTrue(gmp_lib.mpz_get_si(fnsub1) = 4181)
Assert.IsTrue(gmp_lib.mpz_get_si(fn) = 6765)

' Release unmanaged memory allocated for fn and fnsub1.
gmp_lib.mpz_clears(fn, fnsub1, 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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