numpy.sinh — NumPy v1.13 Manual (original) (raw)
numpy. sinh(x, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, _subok=True_[, signature, _extobj_]) = <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, None, or tuple of ndarray and None, optional A location into which the result is stored. If provided, it must have a shape that the inputs broadcast to. If not provided or None, a freshly-allocated array is returned. A tuple (possible only as a keyword argument) must have length equal to the number of outputs. where : array_like, optional Values of True indicate to calculate the ufunc at that position, values of False indicate to leave the value in the output alone. **kwargs For other keyword-only arguments, see theufunc docs. |
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| Returns: | y : ndarray The corresponding hyperbolic sine values. |
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.pi1j/2) 1j np.sinh(np.pi1j) # (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
outnp.sinh(np.zeros((3,3)),np.zeros((2,2))) Traceback (most recent call last): File "", line 1, in ValueError: invalid return array shape