asinh, asinhf, asinhl

Types

div_tldiv_tlldiv_timaxdiv_t (哋它亢99)(哋它亢99)

float_tdouble_t (哋它亢99)(哋它亢99)
_Decimal32_t_Decimal64_t (哋它亢23)(哋它亢23)

Functions

Basic operations

abslabsllabsimaxabs (哋它亢99)(哋它亢99)
fabs
divldivlldivimaxdiv (哋它亢99)(哋它亢99)

fmod
remainder (哋它亢99)
remquo (哋它亢99)
fma (哋它亢99)
fdim (哋它亢99)
nannanfnanlnandN (哋它亢99)(哋它亢99)(哋它亢99)(哋它亢23)

Maximum/minimum operations

fmax (哋它亢99)
fmaximum (哋它亢23)
fmaximum_mag (哋它亢23)
fmaximum_num (哋它亢23)
fmaximum_mag_num (哋它亢23)

fmin (哋它亢99)
fminimum (哋它亢23)
fminimum_mag (哋它亢23)
fminimum_num (哋它亢23)
fminimum_mag_num (哋它亢23)

Exponential functions

exp
exp10 (哋它亢23)
exp2 (哋它亢99)
expm1 (哋它亢99)
exp10m1 (哋它亢23)
exp2m1 (哋它亢23)

log
log10
log2 (哋它亢99)
log1plogp1 (哋它亢99)(哋它亢23)
log10p1 (哋它亢23)
log2p1 (哋它亢23)

Power functions

sqrt
cbrt (哋它亢99)
rootn (哋它亢23)
rsqrt (哋它亢23)

hypot (哋它亢99)
compound (哋它亢23)
pow
pown (哋它亢23)
powr (哋它亢23)

Trigonometric and hyperbolic functions

sin
cos
tan
asin
acos
atan
atan2
sinpi (哋它亢23)
cospi (哋它亢23)
tanpi (哋它亢23)

asinpi (哋它亢23)
acospi (哋它亢23)
atanpi (哋它亢23)
atan2pi (哋它亢23)
sinh
cosh
tanh
asinh (哋它亢99)
acosh (哋它亢99)
atanh (哋它亢99)

Error and gamma functions

erf (哋它亢99)
erfc (哋它亢99)

lgamma (哋它亢99)
tgamma (哋它亢99)

Nearest integer floating-point operations

ceil
floor
roundlroundllround (哋它亢99)(哋它亢99)(哋它亢99)
roundeven (哋它亢23)
trunc (哋它亢99)

nearbyint (哋它亢99)
rintlrintllrint (哋它亢99)(哋它亢99)(哋它亢99)
fromfpfromfpxufromfpufromfpx (哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)

Floating-point manipulation functions

ldexp
frexp
scalbnscalbln (哋它亢99)(哋它亢99)
ilogbllogb (哋它亢99)(哋它亢23)
logb (哋它亢99)

modf
nextafternexttoward (哋它亢99)(哋它亢99)
nextupnextdown (哋它亢23)(哋它亢23)
copysign (哋它亢99)
canonicalize (哋它亢23)

Narrowing operations

fadd (哋它亢23)
fsub (哋它亢23)
fmul (哋它亢23)

fdiv (哋它亢23)
ffma (哋它亢23)
fsqrt (哋它亢23)

Quantum and quantum exponent functions

quantizedN (哋它亢23)
samequantumdN (哋它亢23)

quantumdN (哋它亢23)
llquantexpdN (哋它亢23)

Decimal re-encoding functions

encodedecdN (哋它亢23)
decodedecdN (哋它亢23)

encodebindN (哋它亢23)
decodebindN (哋它亢23)

Total order and payload functions

totalorder (哋它亢23)
getpayload (哋它亢23)

setpayload (哋它亢23)
setpayloadsig (哋它亢23)

Classification

fpclassify (哋它亢99)
iscanonical (哋它亢23)
isfinite (哋它亢99)
isinf (哋它亢99)
isnan (哋它亢99)
isnormal (哋它亢99)
signbit (哋它亢99)
issubnormal (哋它亢23)
iszero (哋它亢23)

isgreater (哋它亢99)
isgreaterequal (哋它亢99)
isless (哋它亢99)
islessequal (哋它亢99)
islessgreater (哋它亢99)
isunordered (哋它亢99)
issignaling (哋它亢23)
iseqsig (哋它亢23)

Macro constants

Special floating-point values

HUGE_VALFHUGE_VALHUGE_VALLHUGE_VALDN

(哋它亢99)(哋它亢99)(哋它亢23)

INFINITYDEC_INFINITY (哋它亢99)(哋它亢23)
NANDEC_NAN (哋它亢99)(哋它亢23)

Arguments and return values

FP_ILOGB0FP_ILOGBNAN (哋它亢99)(哋它亢99)
FP_INT_UPWARDFP_INT_DOWNWARDFP_INT_TOWARDZEROFP_INT_TONEARESTFROMZEROFP_INT_TONEAREST (哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)

FP_LLOGB0FP_LLOGBNAN (哋它亢23)(哋它亢23)
FP_NORMALFP_SUBNORMALFP_ZEROFP_INFINITEFP_NAN (哋它亢99)(哋它亢99)(哋它亢99)(哋它亢99)(哋它亢99)

Error handling

MATH_ERRNOMATH_ERRNOEXCEPT

(哋它亢99)(哋它亢99)

math_errhandling (哋它亢99)

Fast operation indicators

FP_FAST_FMAFFP_FAST_FMA (哋它亢99)(哋它亢99)
FP_FAST_FADDFP_FAST_FADDLFP_FAST_DADDLFP_FAST_DMADDDN (哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)
FP_FAST_FMULFP_FAST_FMULLFP_FAST_DMULLFP_FAST_DMMULDN (哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)
FP_FAST_FFMAFP_FAST_FFMALFP_FAST_DFMALFP_FAST_DMFMADN (哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)

FP_FAST_FMALFP_FAST_FMADN (哋它亢99)(哋它亢23)
FP_FAST_FSUBFP_FAST_FSUBLFP_FAST_DSUBLFP_FAST_DMSUBDN (哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)
FP_FAST_FDIVFP_FAST_FDIVLFP_FAST_DDIVLFP_FAST_DMDIVDN (哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)
FP_FAST_FSQRTFP_FAST_FSQRTLFP_FAST_DSQRTLFP_FAST_DMSQRTDN (哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)

Defined in header `<math.h>`
float asinhf( float arg );	(1)	(since 哋它亢99)
double asinh( double arg );	(2)	(since 哋它亢99)
long double asinhl( long double arg );	(3)	(since 哋它亢99)
Defined in header `<tgmath.h>`
#define asinh( arg )	(4)	(since 哋它亢99)

1-3) Computes the inverse hyperbolic sine of arg.

4) Type-generic macro: If the argument has type long double, asinhl is called. Otherwise, if the argument has integer type or the type double, asinh is called. Otherwise, asinhf is called. If the argument is complex, then the macro invokes the corresponding complex function (casinhf, casinh, casinhl).

Parameters

arg

-

floating-point value representing the area of a hyperbolic sector

Return value

If no errors occur, the inverse hyperbolic sine of arg ( $sinh -1 (arg)$ , or $arsinh(arg)$ ), is returned.

If a range error occurs due to underflow, the correct result (after rounding) is returned.

Error handling

Errors are reported as specified in math_errhandling.

If the implementation supports IEEE floating-point arithmetic (IEC 60559),

If the argument is ±0 or ±∞, it is returned unmodified.
If the argument is NaN, NaN is returned.

Notes

Although the C standard names this function "arc hyperbolic sine", the inverse functions of the hyperbolic functions are the area functions. Their argument is the area of a hyperbolic sector, not an arc. The correct name is "inverse hyperbolic sine" (used by POSIX) or "area hyperbolic sine".

Example

Run this code

#include <math.h>
#include <stdio.h>
 
int main(void)
{
    printf("asinh(1) = %f\nasinh(-1) = %f\n", asinh(1), asinh(-1));
    // special values
    printf("asinh(+0) = %f\nasinh(-0) = %f\n", asinh(0.0), asinh(-0.0));
}

Output:

asinh(1) = 0.881374
asinh(-1) = -0.881374
asinh(+0) = 0.000000
asinh(-0) = -0.000000

References

哋它亢23 standard (ISO/IEC 9899:2023):

7.12.5.2 The asinh functions (p: 240-241)

7.25 Type-generic math <tgmath.h> (p: 373-375)

F.10.2.2 The asinh functions (p: 520)

哋它亢17 standard (ISO/IEC 9899:2018):

7.12.5.2 The asinh functions (p: 240-241)

7.25 Type-generic math <tgmath.h> (p: 373-375)

F.10.2.2 The asinh functions (p: 520)

哋它亢11 standard (ISO/IEC 9899:2011):

7.12.5.2 The asinh functions (p: 240-241)

7.25 Type-generic math <tgmath.h> (p: 373-375)

F.10.2.2 The asinh functions (p: 520)

哋它亢99 standard (ISO/IEC 9899:1999):

7.12.5.2 The asinh functions (p: 221)

7.22 Type-generic math <tgmath.h> (p: 335-337)

F.9.2.2 The asinh functions (p: 457)

External links

Weisstein, Eric W. "Inverse Hyperbolic Sine." From MathWorld — A Wolfram Web Resource.

Language
Headers
Type support
Program utilities
Variadic function support
Error handling
Dynamic memory management
Strings library
Algorithms
Numerics
Date and time utilities
Input/output support
Localization support
Concurrency support (哋它亢11)
Technical Specifications
Symbol index

Common mathematical functions
Floating-point environment (哋它亢99)
Pseudo-random number generation
Complex number arithmetic (哋它亢99)
Type-generic math (哋它亢99)

acoshacoshfacoshl (哋它亢99)(哋它亢99)(哋它亢99)	computes inverse hyperbolic cosine (\({\small\operatorname{arcosh}{x} }\) $arcosh(x)$ ) (function)
atanhatanhfatanhl (哋它亢99)(哋它亢99)(哋它亢99)	computes inverse hyperbolic tangent (\({\small\operatorname{artanh}{x} }\) $artanh(x)$ ) (function)
sinhsinhfsinhl (哋它亢99)(哋它亢99)	computes hyperbolic sine (\({\small\sinh{x} }\) $sinh(x)$ ) (function)
casinhcasinhfcasinhl (哋它亢99)(哋它亢99)(哋它亢99)	computes the complex arc hyperbolic sine (function)

asinh, asinhf, asinhl

Parameters

Return value

Error handling

Notes

Example

References

See also

External links

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