numpy.tanh — NumPy v1.11 Manual (original) (raw)

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.pi1j, np.pi1j/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 "", line 1, in ValueError: invalid return array shape