-
numpy.sinh(x[, out]) =
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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 andout.shape
!=x.shape
(See Examples)Notes
If
out
is provided, the function writes the result into it, and returns a reference toout
. (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
numpy.sinh()
2017-01-10 18:18:44
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