Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

ID 766686
Date 7/13/2023
Public

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Document Table of Contents

v?Tanh

Computes hyperbolic tangent of vector elements.

Syntax

call vstanh( n, a, y )

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

call vmstanh( n, a, y, mode )

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

call vdtanh( n, a, y )

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

call vmdtanh( n, a, y, mode )

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

call vctanh( n, a, y )

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

call vmctanh( n, a, y, mode )

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

call vztanh( n, a, y )

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

call vmztanh( n, a, y, mode )

call vmztanhi(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 vdtanh, vmdtanh

COMPLEX for vctanh, vmctanh

DOUBLE COMPLEX for vztanh, vmztanh

REAL, INTENT(IN) for vstanh, vmstanh

DOUBLE PRECISION, INTENT(IN) for vdtanh, vmdtanh

COMPLEX, INTENT(IN) for vctanh, vmctanh

DOUBLE COMPLEX, INTENT(IN) for vztanh, vmztanh

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 vdtanh, vmdtanh

COMPLEX for vctanh, vmctanh

DOUBLE COMPLEX for vztanh, vmztanh

REAL, INTENT(OUT) for vstanh, vmstanh

DOUBLE PRECISION, INTENT(OUT) for vdtanh, vmdtanh

COMPLEX, INTENT(OUT) for vctanh, vmctanh

DOUBLE COMPLEX, INTENT(OUT) for vztanh, vmztanh

Array that specifies the output vector y.

Description

The v?Tanh function computes hyperbolic tangent of vector elements.

Special Values for Real Function v?Tanh(x)
Argument Result Exception
+0 +0  
-0 -0  
+ +1  
- -1  
QNAN QNAN  
SNAN QNAN INVALID

See Special Value Notations for the conventions used in the table below.

Special Values for Complex Function v?Tanh(z)

RE(z)

i·IM(z)

-

 

-X

 

-0

 

+0

 

+X

 

+

 

NAN

 

+i·

-1+i·0

QNAN+i·QNAN

INVALID

QNAN+i·QNAN

INVALID

QNAN+i·QNAN

INVALID

QNAN+i·QNAN

INVALID

+1+i·0

QNAN+i·QNAN

+i·Y

-1+i·0·Tan(Y)

       

+1+i·0·Tan(Y)

QNAN+i·QNAN

+i·0

-1+i·0

 

-0+i·0

+0+i·0

 

+1+i·0

QNAN+i·0

-i·0

-1-i·0

 

-0-i·0

+0-i·0

 

+1-i·0

QNAN-i·0

-i·Y

-1+i·0·Tan(Y)

       

+1+i·0·Tan(Y)

QNAN+i·QNAN

-i·

-1-i·0

QNAN+i·QNAN

INVALID

QNAN+i·QNAN

INVALID

QNAN+i·QNAN

INVALID

QNAN+i·QNAN

INVALID

+1-i·0

QNAN+i·QNAN

+i·NAN

-1+i·0

QNAN+i·QNAN

QNAN+i·QNAN

QNAN+i·QNAN

QNAN+i·QNAN

+1+i·0

QNAN+i·QNAN

Notes:

  • raises INVALID exception when real or imaginary part of the argument is SNAN

  • Tanh(CONJ(z))=CONJ(Tanh(z))

  • Tanh(-z)=-Tanh(z).