Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

ID 766686
Date 3/31/2023
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).

Description

The function computes sine and cosine 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?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