v?Sin

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 3/31/2023

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Public

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v?Sin

Computes sine of vector elements.

Syntax

call vssin( n, a, y )

call vssini(n, a, inca, y, incy)

call vmssin( n, a, y, mode )

call vmssini(n, a, inca, y, incy, mode)

call vdsin( n, a, y )

call vdsini(n, a, inca, y, incy)

call vmdsin( n, a, y, mode )

call vmdsini(n, a, inca, y, incy, mode)

call vcsin( n, a, y )

call vcsini(n, a, inca, y, incy)

call vmcsin( n, a, y, mode )

call vmcsini(n, a, inca, y, incy, mode)

call vzsin( n, a, y )

call vzsini(n, a, inca, y, incy)

call vmzsin( n, a, y, mode )

call vmzsini(n, a, inca, y, incy, mode)

Include Files

mkl_vml.f90

Input Parameters

Name	Type	Description
n	INTEGER, INTENT(IN)	Specifies the number of elements to be calculated.
a	DOUBLE PRECISION for vdsin, vmdsin COMPLEX for vcsin, vmcsin DOUBLE PRECISION for vzsin, vmzsin REAL, INTENT(IN) for vssin, vmssin DOUBLE PRECISION, INTENT(IN) for vdsin, vmdsin COMPLEX, INTENT(IN) for vcsin, vmcsin DOUBLE PRECISION, INTENT(IN) for vzsin, vmzsin	Array that specifies the input vector a.
inca, incy	INTEGER, INTENT(IN)	Specifies increments for the elements of `a` and `y`.
mode	INTEGER(KIND=8), INTENT(IN)	Overrides global VM mode setting for this function call. See vmlSetMode for possible values and their description.

Output Parameters

Name	Type	Description
y	DOUBLE PRECISION for vdsin, vmdsin COMPLEX for vcsin, vmcsin DOUBLE PRECISION for vzsin, vmzsin REAL, INTENT(OUT) for vssin, vmssin DOUBLE PRECISION, INTENT(OUT) for vdsin, vmdsin COMPLEX, INTENT(OUT) for vcsin, vmcsin DOUBLE PRECISION, INTENT(OUT) for vzsin, vmzsin	Array that specifies the output vector y.

Name

Type

Description

DOUBLE PRECISION for vdsin, vmdsin

COMPLEX for vcsin, vmcsin

DOUBLE PRECISION for vzsin, vmzsin

REAL, INTENT(OUT) for vssin, vmssin

DOUBLE PRECISION, INTENT(OUT) for vdsin, vmdsin

COMPLEX, INTENT(OUT) for vcsin, vmcsin

DOUBLE PRECISION, INTENT(OUT) for vzsin, vmzsin

Array that specifies the output vector y.

Description

The function computes sine of vector elements.

Note that arguments abs(a[i]) ≤ 2¹³ and abs(a[i]) ≤ 2¹⁶ for single and double precisions respectively are called fast computational path. These are trigonometric function arguments for which VM provides the best possible performance. Avoid arguments that do not belong to the fast computational path in the VM High Accuracy (HA) and Low Accuracy (LA) functions. Alternatively, you can use VM Enhanced Performance (EP) functions that are fast on the entire function domain. However, these functions provide less accuracy.

Special Values for Real Function v?Sin(x)
Argument	Result	VM Error Status	Exception
+0	+0
-0	-0
+∞	QNAN	VML_STATUS_ERRDOM	INVALID
-∞	QNAN	VML_STATUS_ERRDOM	INVALID
QNAN	QNAN
SNAN	QNAN		INVALID

Specifications for special values of the complex functions are defined according to the following formula

Sin(z) = -i*Sinh(i*z).

Product and Performance Information
Performance varies by use, configuration and other factors. Learn more at www.Intel.com/PerformanceIndex. Notice revision #20201201

Product and Performance Information

Performance varies by use, configuration and other factors. Learn more at www.Intel.com/PerformanceIndex.

Notice revision #20201201

Parent topic: Trigonometric Functions

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Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

v?Sin