gmp_lib.mpz_cdiv_qr_ui Method

GMP Native Interface for .NET

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GMP Native Interface for .NET

gmp_libmpz_cdiv_qr_ui Method

Set quotient q to ceiling(n / d), set the remainder r to n - q * d, and return | r |.

Namespace: Math.Gmp.Native
Assembly: Math.Gmp.Native (in Math.Gmp.Native.dll) Version: 1.0.0.0 (1.0.0.0)

Syntax

C++

Copy

public static uint mpz_cdiv_qr_ui(
	mpz_t q,
	mpz_t r,
	mpz_t n,
	uint d
)

Public Shared Function mpz_cdiv_qr_ui ( 
	q As mpz_t,
	r As mpz_t,
	n As mpz_t,
	d As UInteger
) As UInteger

public:
static unsigned int mpz_cdiv_qr_ui(
	mpz_t^ q, 
	mpz_t^ r, 
	mpz_t^ n, 
	unsigned int d
)

static member mpz_cdiv_qr_ui : 
        q : mpz_t * 
        r : mpz_t * 
        n : mpz_t * 
        d : uint32 -> uint32

Parameters

q: Type: Math.Gmp.Nativempz_t
The result quotient integer.
r: Type: Math.Gmp.Nativempz_t
The result remainder integer.
n: Type: Math.Gmp.Nativempz_t
The numerator integer.
d: Type: SystemUInt32
The denominator integer.

Return Value

Type: UInt32
Return | r |.

Examples

C++

Copy

// Create, initialize, and set the value of n to 10000.
mpz_t n = new mpz_t();
gmp_lib.mpz_init_set_si(n, 10000);

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

// Set q = ceiling(n / 3), r = n - d * q, and return r.
Assert.IsTrue(gmp_lib.mpz_cdiv_qr_ui(q, r, n, 3U) == 2U);

// Assert that q is 3334, and that r is -2.
Assert.IsTrue(gmp_lib.mpz_get_si(q) == 3334);
Assert.IsTrue(gmp_lib.mpz_get_si(r) == -2);

// Release unmanaged memory allocated for n, q, and r.
gmp_lib.mpz_clears(n, q, r, null);

' Create, initialize, and set the value of n to 10000.
Dim n As New mpz_t()
gmp_lib.mpz_init_set_si(n, 10000)

' Create, initialize, and set the values of q and r to 0.
Dim q As New mpz_t()
Dim r As New mpz_t()
gmp_lib.mpz_inits(q, r, Nothing)

' Set q = ceiling(n / 3), r = n - d * q, and return r.
Assert.IsTrue(gmp_lib.mpz_cdiv_qr_ui(q, r, n, 3UI) = 2UI)

' Assert that q is 3334, and that r is -2.
Assert.IsTrue(gmp_lib.mpz_get_si(q) = 3334)
Assert.IsTrue(gmp_lib.mpz_get_si(r) = -2)

' Release unmanaged memory allocated for n, q, and r.
gmp_lib.mpz_clears(n, q, r, Nothing)