Visible to Intel only — GUID: GUID-3BCF3517-B7CF-483E-B439-28CF7BD9C258
Visible to Intel only — GUID: GUID-3BCF3517-B7CF-483E-B439-28CF7BD9C258
Special Functions
Many routines in the Intel® oneAPI DPC++/C++ Compiler Math Library are more optimized for Intel® microprocessors than for non-Intel microprocessors.
The mathimf.h header file includes prototypes for Intel® oneAPI DPC++/C++ Compiler Math Library functions.
The math library supports the following special functions:
FP16 Math Functions have the following requirements:
Version 2021.4 or higher of the Intel® oneAPI DPC++/C++ Compiler.
A next-generation Intel® Xeon® Scalable processor, code name Sapphire Rapids.
annuity
Description: The annuity function computes the present value factor for an annuity, (1 - (1+x)(-y) ) / x, where x is a rate and y is a period.
errno: ERANGE, for underflow and overflow conditions
Calling interface:
double annuity(double x, double y);
long double annuityl(long double x, long double y);
float annuityf(float x, float y);
_Float16 annuityf16(_Float16 x, _Float16 y);
cdfnorm
Description: The cdfnorm function returns the cumulative normal distribution function value.
Calling interface:
double cdfnorm(double x);
float cdfnormf(float x);
_Float16 cdfnormf16 (_Float16 x);
cdfnorminv
Description: The cdfnorminv function returns the inverse cumulative normal distribution function value.
errno:
EDOM, for finite or infinite (x > 1) || (x < 0)
ERANGE, for x = 0 or x = 1
Calling interface:
double cdfnorminv(double x);
float cdfnorminvf (float x);
_Float16 cdfnorminvf16 (_Float16 x);
compound
Description: The compound function computes the compound interest factor, (1+x)y, where x is a rate and y is a period.
errno: ERANGE, for underflow and overflow conditions
Calling interface:
double compound(double x, double y);
long double compoundl(long double x, long double y);
float compoundf(float x, float y);
_Float16 compoundf16(_Float16 x, _Float16 y);
erf
Description: The erf function returns the error function value.
Calling interface:
double erf(double x);
long double erfl(long double x);
float erff(float x);
_Float16 erff16(_Float16 x);
erfc
Description: The erfc function returns the complementary error function value.
errno: ERANGE, for underflow conditions
Calling interface:
double erfc(double x);
long double erfcl(long double x);
float erfcf(float x);
_Float16 erfcf16(_Float16 x);
erfcx
Description: The erfcx function returns the scaled complementary error function value.
errno: ERANGE, for overflow conditions
Calling interface:
double erfcx(double x);
float erfcxf(float x);
erfcinv
Description: The erfcinv function returns the value of the inverse complementary error function of x.
errno: EDOM, for finite or infinite (x > 2) || (x < 0)
Calling interface:
double erfcinv(double x);
float erfcinvf(float x);
_Float16 erfcinvf16(_Float16 x);
erfinv
Description: The erfinv function returns the value of the inverse error function of x.
errno: EDOM, for finite or infinite |x| > 1
Calling interface:
double erfinv(double x);
long double erfinvl(long double x);
float erfinvf(float x);
_Float16 erfinvf16(_Float16 x);
gamma
Description: The gamma function returns the value of the logarithm of the absolute value of gamma.
errno: ERANGE, for overflow conditions when x is a negative integer.
Calling interface:
double gamma(double x);
long double gammal(long double x);
float gammaf(float x);
_Float16 gammaf16(_Float16 x);
gamma_r
Description: The gamma_r function returns the value of the logarithm of the absolute value of gamma. The sign of the gamma function is returned in the integer signgam.
Calling interface:
double gamma_r(double x, int *signgam);
long double gammal_r(long double x, int *signgam);
float gammaf_r(float x, int *signgam);
_Float16 gammaf16_r(_Float16 x, int *signgam);
j0
Description: Computes the Bessel function (of the first kind) of x with order 0.
Calling interface:
double j0(double x);
long double j0l(long double x);
float j0f(float x);
_Float16 j0f16(_Float16 x);
j1
Description: Computes the Bessel function (of the first kind) of x with order 1.
Calling interface:
double j1(double x);
long double j1l(long double x);
float j1f(float x);
_Float16 j1f16(_Float16 x);
jn
Description: Computes the Bessel function (of the first kind) of x with order n.
Calling interface:
double jn(int n, double x);
long double jnl(int n, long double x);
float jnf(int n, float x);
_Float16 jnf16(int n, _Float16 x);
lgamma
Description: The lgamma function returns the value of the logarithm of the absolute value of gamma.
errno: ERANGE, for overflow conditions, x=0 or negative integers.
Calling interface:
double lgamma(double x);
long double lgammal(long double x);
float lgammaf(float x);
_Float16 lgammaf16(_Float16 x);
lgamma_r
Description: The lgamma_r function returns the value of the logarithm of the absolute value of gamma. The sign of the gamma function is returned in the integer signgam.
errno: ERANGE, for overflow conditions, x=0 or negative integers.
Calling interface:
double lgamma_r(double x, int *signgam);
long double lgammal_r(long double x, int *signgam);
float lgammaf_r(float x, int *signgam);
_Float16 lgammaf16_r(_Float16 x, int *signgam);
tgamma
Description: The tgamma function computes the gamma function of x.
errno:
EDOM, for x=0 or negative integers.
ERANGE, for overflow conditions.
Calling interface:
double tgamma(double x);
long double tgammal(long double x);
float tgammaf(float x);
_Float16 tgammaf16(_Float16 x);
y0
Description: Computes the Bessel function (of the second kind) of x with order 0.
errno: EDOM, for x <= 0
Calling interface:
double y0(double x);
long double y0l(long double x);
float y0f(float x);
_Float16 y0f16(_Float16 x);
y1
Description: Computes the Bessel function (of the second kind) of x with order 1.
errno: EDOM, for x <= 0
Calling interface:
double y1(double x);
long double y1l(long double x);
float y1f(float x);
_Float16 y1f16(_Float16 x);
yn
Description: Computes the Bessel function (of the second kind) of x with order n.
errno: EDOM, for x <= 0
Calling interface:
double yn(int n, double x);
long double ynl(int n, long double x);
float ynf(int n, float x);
_Float16 ynf16(int n, _Float16 x);