cosh, coshf, coshl - cppreference.com (original) (raw)
| Defined in header <math.h> | ||
|---|---|---|
| float coshf( float arg ); | (1) | (since C99) |
| double cosh( double arg ); | (2) | |
| long double coshl( long double arg ); | (3) | (since C99) |
| Defined in header <tgmath.h> | ||
| #define cosh( arg ) | (4) | (since C99) |
1-3) Computes the hyperbolic cosine of arg.
- Type-generic macro: If the argument has type long double,
coshlis called. Otherwise, if the argument has integer type or the type double,coshis called. Otherwise,coshfis called. If the argument is complex, then the macro invokes the corresponding complex function (ccoshf, ccosh, ccoshl).
Contents
[edit] Parameters
| arg | - | floating-point value representing a hyperbolic angle |
|---|
[edit] Return value
If no errors occur, the hyperbolic cosine of arg (cosh(arg), or ) is returned.
If a range error due to overflow occurs, +HUGE_VAL, +HUGE_VALF, or +HUGE_VALL is returned.
[edit] 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, 1 is returned
- If the argument is ±∞, +∞ is returned
- if the argument is NaN, NaN is returned
[edit] Notes
For the IEEE-compatible type double, if |arg| > 710.5, then cosh(arg) overflows.
[edit] Example
#include <errno.h> #include <fenv.h> #include <math.h> #include <stdio.h> // #pragma STDC FENV_ACCESS ON int main(void) { printf("cosh(1) = %f\ncosh(-1)= %f\n", cosh(1), cosh(-1)); printf("log(sinh(1) + cosh(1))=%f\n", log(sinh(1) + cosh(1))); // special values printf("cosh(+0) = %f\ncosh(-0) = %f\n", cosh(0.0), cosh(-0.0)); // error handling errno = 0; feclearexcept(FE_ALL_EXCEPT); printf("cosh(710.5) = %f\n", cosh(710.5)); if (errno == ERANGE) perror(" errno == ERANGE"); if (fetestexcept(FE_OVERFLOW)) puts(" FE_OVERFLOW raised"); }
Possible output:
cosh(1) = 1.543081 cosh(-1)= 1.543081 log(sinh(1) + cosh(1))=1.000000 cosh(+0) = 1.000000 cosh(-0) = 1.000000 cosh(710.5) = inf errno == ERANGE: Numerical result out of range FE_OVERFLOW raised
[edit] References
C23 standard (ISO/IEC 9899:2024):
7.12.5.4 The cosh functions (p: TBD)
7.25 Type-generic math <tgmath.h> (p: TBD)
F.10.2.4 The cosh functions (p: TBD)
C17 standard (ISO/IEC 9899:2018):
7.12.5.4 The cosh functions (p: 176)
7.25 Type-generic math <tgmath.h> (p: 272-273)
F.10.2.4 The cosh functions (p: 379)
C11 standard (ISO/IEC 9899:2011):
7.12.5.4 The cosh functions (p: 241)
7.25 Type-generic math <tgmath.h> (p: 373-375)
F.10.2.4 The cosh functions (p: 520)
C99 standard (ISO/IEC 9899:1999):
7.12.5.4 The cosh functions (p: 222)
7.22 Type-generic math <tgmath.h> (p: 335-337)
F.9.2.4 The cosh functions (p: 457)
C89/C90 standard (ISO/IEC 9899:1990):
4.5.3.1 The cosh function