| Defined in header <math.h> | ||
|---|---|---|
float tanhf( float arg ); | (1) | (since C99) |
double tanh( double arg ); | (2) | |
long double tanhl( long double arg ); | (3) | (since C99) |
| Defined in header <tgmath.h> | ||
#define tanh( arg ) | (4) | (since C99) |
1-3) Computes the hyperbolic tangent of
arg. 4) Type-generic macro: If the argument has type
long double, tanhl is called. Otherwise, if the argument has integer type or the type double, tanh is called. Otherwise, tanhf is called. If the argument is complex, then the macro invokes the corresponding complex function (ctanhf, ctanh, ctanhl).Parameters
| arg | - | floating point value representing a hyperbolic angle |
Return value
If no errors occur, the hyperbolic tangent of arg (tanh(arg), or
| earg -e-arg |
| earg +e-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, ±0 is returned
- If the argument is ±∞, ±1 is returned
- if the argument is NaN, NaN is returned
Notes
POSIX specifies that in case of underflow, arg is returned unmodified, and if that is not supported, an implementation-defined value no greater than DBL_MIN, FLT_MIN, and LDBL_MIN is returned.
Example
#include <stdio.h>
#include <math.h>
int main(void)
{
printf("tanh(1) = %f\ntanh(-1) = %f\n", tanh(1), tanh(-1));
printf("tanh(0.1)*sinh(0.2)-cosh(0.2) = %f\n", tanh(0.1) * sinh(0.2) - cosh(0.2));
// special values
printf("tanh(+0) = %f\ntanh(-0) = %f\n", tanh(0.0), tanh(-0.0));
}Output:
tanh(1) = 0.761594 tanh(-1) = -0.761594 tanh(0.1)*sinh(0.2)-cosh(0.2) = -1.000000 tanh(+0) = 0.000000 tanh(-0) = -0.000000
References
- C11 standard (ISO/IEC 9899:2011):
- 7.12.5.6 The tanh functions (p: 242)
- 7.25 Type-generic math <tgmath.h> (p: 373-375)
- F.10.2.6 The tanh functions (p: 520)
- C99 standard (ISO/IEC 9899:1999):
- 7.12.5.6 The tanh functions (p: 222-223)
- 7.22 Type-generic math <tgmath.h> (p: 335-337)
- F.9.2.6 The tanh functions (p: 457)
- C89/C90 standard (ISO/IEC 9899:1990):
- 4.5.3.3 The tanh function
See also
| (C99)(C99) | computes hyperbolic sine (sh(x)) (function) |
| (C99)(C99) | computes hyperbolic cosine (ch(x)) (function) |
| (C99)(C99)(C99) | computes inverse hyperbolic tangent (artanh(x)) (function) |
| (C99)(C99)(C99) | computes the complex hyperbolic tangent (function) |
C++ documentation for tanh | |
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