Intel® Integrated Performance Primitives (Intel® IPP) Developer Guide and Reference

ID 790148
Date 3/22/2024
Public
Document Table of Contents

Erfc

Computes the complementary error function value.

Syntax

IppStatus ippsErfc_32f_A11 (const Ipp32f* pSrc, Ipp32f* pDst, Ipp32s len);

IppStatus ippsErfc_32f_A21 (const Ipp32f* pSrc, Ipp32f* pDst, Ipp32s len);

IppStatus ippsErfc_32f_A24 (const Ipp32f* pSrc, Ipp32f* pDst, Ipp32s len);

IppStatus ippsErfc_64f_A26 (const Ipp64f* pSrc, Ipp64f* pDst, Ipp32s len);

IppStatus ippsErfc_64f_A50 (const Ipp64f* pSrc, Ipp64f* pDst, Ipp32s len);

IppStatus ippsErfc_64f_A53 (const Ipp64f* pSrc, Ipp64f* pDst, Ipp32s len);

Include Files

ippvm.h

Domain Dependencies

Headers: ippcore.h

Libraries: ippcore.lib

Parameters

pSrc

Pointer to the source vector.

pDst

Pointer to the destination vector.

len

Number of elements in the vectors.

Description

This function computes the complementary error function value for each element of pSrc and stores the result in the corresponding element of pDst.

For single precision data:

function flavor ippsErfc_32f_A11 guarantees 11 correctly rounded bits of significand, or at least 3 exact decimal digits;

function flavor ippsErfc_32f_A21 guarantees 21 correctly rounded bits of significand, or 4 ulps, or about 6 exact decimal digits;

function flavor ippsErfc_32f_A24 guarantees 24 correctly rounded bits of significand, including the implied bit, with the maximum guaranteed error within 1 ulp.

For double precision data:

function flavor ippsErfc_64f_A26 guarantees 26 correctly rounded bits of significand, or 6.7E+7 ulps, or approximately 8 exact decimal digits;

function flavor ippsErfc_64f_A50 guarantees 50 correctly rounded bits of significand, or 4 ulps, or approximately 15 exact decimal digits;

function flavor ippsErfc_64f_A53 guarantees 53 correctly rounded bits of significand, including the implied bit, with the maximum guaranteed error within 1 ulp.

The computation is performed as follows:

pDst[n] = erfc(pSrc[n]), 0 ≤ n < len, where



Return Values

ippStsNoErr

Indicates no error.

ippStsNullPtrErr

Indicates an error when pSrc or pDst pointer is NULL.

ippStsSizeErr

Indicates an error when len is less than or equal to 0.

IppStsUnderflow

Indicates a warning that the function underflows, that is, at least one element of pSrc is less than some threshold value, where the function result is less than the minimum positive floating-point value in target precision.

Example

The example below shows how to use the function ippsErfc.

IppStatus ippsErfc_32f_A21_sample(void) {
	const Ipp32f x[4] = {-0.982, 0.838, -0.448, -0.454};
	Ipp32f y[4];
	IppStatus st = ippsErfc_32f_A21( x, y, 4 );
	printf(" ippsErfc_32f_A21:\n");
	printf(" x = %.3f %.3f %.3f %.3f \n", x[0], x[1], x[2], x[3]);
	printf(" y = %.3f %.3f %.3f %.3f \n", y[0], y[1], y[2], y[3]);
	return st;
}

Output:

 
ippsErfc_32f_A21:
x = -0.982 0.838 -0.448 -0.454
y = -0.754 0.685 -0.420 -0.425