Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

ID 766686
Date 7/13/2023
Public

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v?ErfcInv

Computes the inverse complementary error function value of vector elements.

Syntax

call vserfcinv( n, a, y )

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

call vmserfcinv( n, a, y, mode )

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

call vderfcinv( n, a, y )

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

call vmderfcinv( n, a, y, mode )

call vmderfcinvi(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 vderfcinv, vmderfcinv

REAL, INTENT(IN) for vserfcinv, vmserfcinv

DOUBLE PRECISION, INTENT(IN) for vderfcinv, vmderfcinv

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 vderfcinv, vmderfcinv

REAL, INTENT(OUT) for vserfcinv, vmserfcinv

DOUBLE PRECISION, INTENT(OUT) for vderfcinv, vmderfcinv

Array that specifies the output vector y.

Description

The ErfcInv function computes the inverse complimentary error function values for elements of the input vector a and writes them to the output vector y.

The inverse complementary error function is defined as given by:


Equation


Equation


Equation

where erf(x) denotes the error function and erfinv(x) denotes the inverse error function.

See also Figure "ErfInv Family Functions Relationship" in ErfInv function description for ErfcInv function relationship with the other functions of ErfInv family.

Special Values for Real Function v?ErfcInv(x)
Argument Result VM Error Status Exception
+1 +0    
+2 - VML_STATUS_SING ZERODIVIDE
-0 + VML_STATUS_SING ZERODIVIDE
+0 + VML_STATUS_SING ZERODIVIDE
X < -0 QNAN VML_STATUS_ERRDOM INVALID
X > +2 QNAN VML_STATUS_ERRDOM INVALID
+ QNAN VML_STATUS_ERRDOM INVALID
- QNAN VML_STATUS_ERRDOM INVALID
QNAN QNAN    
SNAN QNAN   INVALID

See Also