Visible to Intel only — GUID: GUID-DA2C2F17-5870-4F57-84A1-B539FC5F22C1
Visible to Intel only — GUID: GUID-DA2C2F17-5870-4F57-84A1-B539FC5F22C1
Exponential 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 exponential 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.
cbrt
Description: The cbrt function returns the cube root of x.
Calling interface:
double cbrt(double x);
long double cbrtl(long double x);
float cbrtf(float x);
_Float16 cbrtf16(_Float16 x);
exp
Description: The exp function returns e raised to the x power, ex.
errno: ERANGE, for underflow and overflow conditions
Calling interface:
double exp(double x);
long double expl(long double x);
float expf(float x);
_Float16 expf16(_Float16 x);
exp10
Description: The exp10 function returns 10 raised to the x power, 10x.
errno: ERANGE, for underflow and overflow conditions
Calling interface:
double exp10(double x);
long double exp10l(long double x);
float exp10f(float x);
_Float16 exp10f16(_Float16 x);
exp2
Description: The exp2 function returns 2 raised to the x power, 2x.
errno: ERANGE, for underflow and overflow conditions
Calling interface:
double exp2(double x);
long double exp2l(long double x);
float exp2f(float x);
_Float16 exp2f16(_Float16 x);
expm1
Description: The expm1 function returns e raised to the x power, minus 1, ex -1.
errno: ERANGE, for overflow conditions
Calling interface:
double expm1(double x);
long double expm1l(long double x);
float expm1f(float x);
_Float16 expm1f16(_Float16 x);
frexp
Description: The frexp function converts a floating-point number x into signed normalized fraction in [1/2, 1) multiplied by an integral power of two. The signed normalized fraction is returned, and the integer exponent stored at location exp.
Calling interface:
double frexp(double x, int *exp);
long double frexpl(long double x, int *exp);
float frexpf(float x, int *exp);
_Float16 frexpf16(_Float16 x, int *exp);
hypot
Description: The hypot function returns the square root of (x2 + y2).
errno: ERANGE, for overflow conditions
Calling interface:
double hypot(double x, double y);
long double hypotl(long double x, long double y);
float hypotf(float x, float y);
_Float16 hypotf16(_Float16 x, _Float16 y);
ilogb
Description: The ilogb function returns the exponent of x base two as a signed int value.
errno: ERANGE, for x = 0
Calling interface:
int ilogb(double x);
int ilogbl(long double x);
int ilogbf(float x);
int ilogbf16(_Float16 x);
invsqrt
Description: The invsqrt function returns the inverse square root.
Calling interface:
double invsqrt(double x);
long double invsqrtl(long double x);
float invsqrtf(float x);
_Float16 invsqrtf16(_Float16 x);
ldexp
Description: The ldexp function returns x*2exp, where exp is an integer value.
errno: ERANGE, for underflow and overflow conditions
Calling interface:
double ldexp(double x, int exp);
long double ldexpl(long double x, int exp);
float ldexpf(float x, int exp);
_Float16 ldexpf16(_Float16 x, int exp);
log
Description: The log function returns the natural log of x, ln(x).
errno: EDOM, for x < 0
errno: ERANGE, for x = 0
Calling interface:
double log(double x);
long double logl(long double x);
float logf(float x);
_Float16 logf16(_Float16 x);
log10
Description: The log10 function returns the base-10 log of x, log10(x).
errno: EDOM, for x < 0
errno: ERANGE, for x = 0
Calling interface:
double log10(double x);
long double log10l(long double x);
float log10f(float x);
_Float16 log10f16(_Float16 x);
log1p
Description: The log1p function returns the natural log of (x+1), ln(x + 1).
errno: EDOM, for x < -1
errno: ERANGE, for x = -1
Calling interface:
double log1p(double x);
long double log1pl(long double x);
float log1pf(float x);
_Float16 log1pf16(_Float16 x);
log2
Description: The log2 function returns the base-2 log of x, log2(x).
errno: EDOM, for x < 0
errno: ERANGE, for x = 0
Calling interface:
double log2(double x);
long double log2l(long double x);
float log2f(float x);
_Float16 log2f16(_Float16 x);
logb
Description: The logb function returns the signed exponent of x.
errno: EDOM, for x = 0
Calling interface:
double logb(double x);
long double logbl(long double x);
float logbf(float x);
_Float16 logbf16(_Float16 x);
pow
Description: The pow function returns x raised to the power of y, xy.
errno: EDOM, for x = 0 and y < 0
errno: EDOM, for x < 0 and y is a non-integer
errno: ERANGE, for overflow and underflow conditions
Calling interface:
double pow(double x, double y);
long double powl(double x, double y);
float powf(float x, float y);
_Float16 powf16(_Float16 x, _Float16 y);
pow2o3
Description: The pow2o3 function returns the cube root of x squared, cbrt(x2).
Calling interface:
double pow2o3(double x);
float pow2o3f(float x);
_Float16 pow2o3f16(_Float16 x);
pow3o2
Description: The pow3o2 function returns the square root of the cube of x, sqrt(x3).
errno: EDOM, for x < 0
errno: ERANGE, for overflow and underflow conditions
Calling interface:
double pow3o2(double x);
float pow3o2f(float x);
_Float16 pow3o2f16(_Float16 x);
powr
Description: The powr function returns x raised to the power of y, xy, where x ≥ 0.
errno: EDOM, for x < 0
errno: ERANGE, for overflow and underflow conditions
Calling interface:
double powr(double x, double y);
float powrf(float x, float y);
_Float16 powrf16(_Float16 x, _Float16 y);
scalb
Description: The scalb function returns x*2y, where y is a floating-point value.
errno: ERANGE, for underflow and overflow conditions
Calling interface:
double scalb(double x, double y);
long double scalbl(long double x, long double y);
float scalbf(float x, float y);
_Float16 scalbf16(_Float16 x, _Float16 y);
scalbn
Description: The scalbn function returns x*2n, where n is an integer value.
errno: ERANGE, for underflow and overflow conditions
Calling interface:
double scalbn(double x, int n);
long double scalbnl (long double x, int n);
float scalbnf(float x, int n);
_Float16 scalbnf16(_Float16 x, int n);
scalbln
Description: The scalbln function returns x*2n, where n is a long integer value.
errno: ERANGE, for underflow and overflow conditions
Calling interface:
double scalbln(double x, long int n);
long double scalblnl (long double x, long int n);
float scalblnf(float x, long int n);
_Float16 scalblnf16(_Float16 x, long int n);
sqrt
Description: The sqrt function returns the correctly rounded square root.
errno: EDOM, for x < 0
Calling interface:
double sqrt(double x);
long double sqrtl(long double x);
float sqrtf(float x);
_Float16 sqrtf16(_Float16 x);