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 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
1 2 3 4 5 6 7 8 9 10 | #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:
1 2 3 4 5 | 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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