| Defined in header <math.h> | ||||
|---|---|---|---|---|
| (1) | (since C99) | ||
| (2) | |||
| (3) | (since C99) | ||
| Defined in header <tgmath.h> | ||||
| (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).Parameters
| arg | - | floating point value representing a hyperbolic angle |
Return value
If no errors occur, the hyperbolic cosine of arg (cosh(arg), or
| earg +e-arg |
| 2 |
) is returned.
If a range error due to overflow occurs, +HUGE_VAL, +HUGE_VALF, or +HUGE_VALL 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, 1 is returned
- If the argument is ±∞, +∞ is returned
- if the argument is NaN, NaN is returned
Notes
For the IEEE-compatible type double, if |arg| > 710.5, then cosh(arg) overflows.
Example
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 | #include <stdio.h>#include <math.h>#include <errno.h>#include <fenv.h> #pragma STDC FENV_ACCESS ONint 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:
1 2 3 4 5 6 7 8 | cosh(1) = 1.543081cosh(-1)= 1.543081log(sinh(1) + cosh(1))=1.000000cosh(+0) = 1.000000cosh(-0) = 1.000000cosh(710.5) = inf errno == ERANGE: Numerical result out of range FE_OVERFLOW raised |
References
- 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
See also
| (C99)(C99) | computes hyperbolic sine (sh(x)) (function) |
| (C99)(C99) | computes hyperbolic tangent (function) |
| (C99)(C99)(C99) | computes inverse hyperbolic cosine (arcosh(x)) (function) |
| (C99)(C99)(C99) | computes the complex hyperbolic cosine (function) |
C++ documentation for cosh | |
Please login to continue.