numpy.tanh¶
- numpy.tanh(x[, out]) = <ufunc 'tanh'>¶
Compute hyperbolic tangent element-wise.
Equivalent to np.sinh(x)/np.cosh(x) or -1j * np.tan(1j*x).
Parameters: x : array_like
Input array.
out : ndarray, optional
Output array of same shape as x.
Returns: y : ndarray
The corresponding hyperbolic tangent values.
Raises: ValueError: invalid return array shape
if out is provided and out.shape != x.shape (See Examples)
Notes
If out is provided, the function writes the result into it, and returns a reference to out. (See Examples)
References
[R284] M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions. New York, NY: Dover, 1972, pg. 83. http://www.math.sfu.ca/~cbm/aands/ [R285] Wikipedia, “Hyperbolic function”, http://en.wikipedia.org/wiki/Hyperbolic_function Examples
>>> np.tanh((0, np.pi*1j, np.pi*1j/2)) array([ 0. +0.00000000e+00j, 0. -1.22460635e-16j, 0. +1.63317787e+16j])
>>> # Example of providing the optional output parameter illustrating >>> # that what is returned is a reference to said parameter >>> out2 = np.tanh([0.1], out1) >>> out2 is out1 True
>>> # Example of ValueError due to provision of shape mis-matched `out` >>> np.tanh(np.zeros((3,3)),np.zeros((2,2))) Traceback (most recent call last): File "<stdin>", line 1, in <module> ValueError: invalid return array shape Traceback (most recent call last): File "<stdin>", line 1, in <module> ValueError: invalid return array shape