v?SinCos

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 3/31/2023

Version

Public

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v?SinCos

Computes sine and cosine of vector elements.

Syntax

call vssincos( n, a, y, z )

call vssincosi(n, a, inca, y, incy, z, incz)

call vmssincos( n, a, y, z, mode )

call vmssincosi(n, a, inca, y, incy, z, incz, mode)

call vdsincos( n, a, y, z )

call vdsincosi(n, a, inca, y, incy, z, incz)

call vmdsincos( n, a, y, z, mode )

call vmdsincosi(n, a, inca, y, incy, z, incz, 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 vdsincos, vmdsincos REAL, INTENT(IN) for vssincos, vmssincos DOUBLE PRECISION, INTENT(IN) for vdsincos, vmdsincos	Array that specifies the input vector a.
inca, incy, incz	INTEGER, INTENT(IN)	Specifies increments for the elements of `a`, `y`, and `z`.
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, z	DOUBLE PRECISION for vdsincos, vmdsincos REAL, INTENT(OUT) for vssincos, vmssincos DOUBLE PRECISION, INTENT(OUT) for vdsincos, vmdsincos	Arrays that specify the output vectors y (for sine values) and `z` (for cosine values).

Name

Type

Description

y, z

DOUBLE PRECISION for vdsincos, vmdsincos

REAL, INTENT(OUT) for vssincos, vmssincos

DOUBLE PRECISION, INTENT(OUT) for vdsincos, vmdsincos

Arrays that specify the output vectors y (for sine values) and z (for cosine values).

Description

The function computes sine and cosine of vector elements.

Note that arguments abs(a[i]) ≤ 2¹³and abs(a[i]) ≤ 2¹⁶for 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?SinCos(x)
Argument	Result 1	Result 2	VM Error Status	Exception
+0	+0	+1
-0	-0	+1
+∞	QNAN	QNAN	VML_STATUS_ERRDOM	INVALID
-∞	QNAN	QNAN	VML_STATUS_ERRDOM	INVALID
QNAN	QNAN	QNAN
SNAN	QNAN	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?SinCos