numpy.sinh¶
- numpy.sinh(x[, out]) = <ufunc 'sinh'>¶
Hyperbolic sine, element-wise.
Equivalent to 1/2 * (np.exp(x) - np.exp(-x)) or -1j * np.sin(1j*x).
Parameters: x : array_like
Input array.
out : ndarray, optional
Output array of same shape as x.
Returns: y : ndarray
The corresponding hyperbolic sine 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
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions. New York, NY: Dover, 1972, pg. 83.
Examples
>>> np.sinh(0) 0.0 >>> np.sinh(np.pi*1j/2) 1j >>> np.sinh(np.pi*1j) # (exact value is 0) 1.2246063538223773e-016j >>> # Discrepancy due to vagaries of floating point arithmetic.
>>> # Example of providing the optional output parameter >>> out2 = np.sinh([0.1], out1) >>> out2 is out1 True
>>> # Example of ValueError due to provision of shape mis-matched `out` >>> np.sinh(np.zeros((3,3)),np.zeros((2,2))) Traceback (most recent call last): File "<stdin>", line 1, in <module> ValueError: invalid return array shape