mpfr_lib.mpfr_sin

Set simultaneously sop to the sine of op and cop to the cosine of op, rounded in the direction rnd with the corresponding precisions of sop and cop, which must be different variables.

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

Syntax

C++

Copy

public static int mpfr_sin_cos(
	mpfr_t sop,
	mpfr_t cop,
	mpfr_t op,
	mpfr_rnd_t rnd
)

Public Shared Function mpfr_sin_cos ( 
	sop As mpfr_t,
	cop As mpfr_t,
	op As mpfr_t,
	rnd As mpfr_rnd_t
) As Integer

public:
static int mpfr_sin_cos(
	mpfr_t^ sop, 
	mpfr_t^ cop, 
	mpfr_t^ op, 
	mpfr_rnd_t rnd
)

static member mpfr_sin_cos : 
        sop : mpfr_t * 
        cop : mpfr_t * 
        op : mpfr_t * 
        rnd : mpfr_rnd_t -> int

Parameters

sop: Type: Math.Mpfr.Nativempfr_t
The result sine.
cop: Type: Math.Mpfr.Nativempfr_t
The result cosine.
op: Type: Math.Mpfr.Nativempfr_t
The operand floating-point number.
rnd: Type: Math.Mpfr.Nativempfr_rnd_t
The rounding direction.

Return Value

Type: Int32
Return 0 iff both results are exact, more precisely it returns s + 4c where s = 0 if sop is exact, s = 1 if sop is larger than the sine of op, s = 2 if sop is smaller than the sine of op, and similarly for c and the cosine of op. See GNU MPFR - Rounding Modes for details.

Examples

C++

Copy

// Create, initialize, and set a new floating-point number op to 1.
mpfr_t op = new mpfr_t();
mpfr_lib.mpfr_init2(op, 64U);
Assert.IsTrue(mpfr_lib.mpfr_set_si(op, 1, mpfr_rnd_t.MPFR_RNDN) == 0);

// Create and initialize a new floating-point number sop.
mpfr_t sop = new mpfr_t();
mpfr_lib.mpfr_init2(sop, 64U);

// Create and initialize a new floating-point number cop.
mpfr_t cop = new mpfr_t();
mpfr_lib.mpfr_init2(cop, 64U);

// Set sop = sin(op), cop = cos(op).
Assert.IsTrue(mpfr_lib.mpfr_sin_cos(sop, cop, op, mpfr_rnd_t.MPFR_RNDN) == 5);

// Assert the value of sop and cop.
Assert.IsTrue(sop.ToString() == "0.841470984807896506665e0");
Assert.IsTrue(cop.ToString() == "0.540302305868139717414e0");

// Release unmanaged memory allocated for rop and op.
mpfr_lib.mpfr_clears(sop, cop, op, null);

' Create, initialize, and set a new floating-point number op to 1.
Dim op As mpfr_t = New mpfr_t()
mpfr_lib.mpfr_init2(op, 64U)
Assert.IsTrue(mpfr_lib.mpfr_set_si(op, 1, mpfr_rnd_t.MPFR_RNDN) = 0)

' Create and initialize a new floating-point number sop.
Dim sop As mpfr_t = New mpfr_t()
mpfr_lib.mpfr_init2(sop, 64U)

' Create and initialize a new floating-point number cop.
Dim cop As mpfr_t = New mpfr_t()
mpfr_lib.mpfr_init2(cop, 64U)

' Set sop = sin(op), cop = cos(op).
Assert.IsTrue(mpfr_lib.mpfr_sin_cos(sop, cop, op, mpfr_rnd_t.MPFR_RNDN) = 5)

' Assert the value of sop and cop.
Assert.IsTrue(sop.ToString() = "0.841470984807896506665e0")
Assert.IsTrue(cop.ToString() = "0.540302305868139717414e0")

' Release unmanaged memory allocated for rop and op.
mpfr_lib.mpfr_clears(sop, cop, op, Nothing)

Reference

mpfr_lib Class

Math.Mpfr.Native Namespace

GNU MPFR - Special Functions