cosh, coshf, coshl
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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.4) Type-generic macro: If the argument has type long double,
coshl is called. Otherwise, if the argument has integer type or the type double, cosh is called. Otherwise, coshf is called. If the argument is complex, then the macro invokes the corresponding complex function (ccoshf , ccosh , ccoshl ).[edit] Parameters
arg
-
floating-point value representing a hyperbolic angle
[edit] Return value
If no errors occur, the hyperbolic cosine ofarg (cosh(arg), or earg
+e-arg
+e-arg
2
) 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
Run this code
#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
[edit] See also
(C99)(C99)(C99)
(function) [edit]
C++ documentation for cosh