numpy.sinh¶

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 to1/2*(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 havea shape that the inputs broadcast to. If not provided orNone,a freshly-allocated array is returned. A tuple (possible only as akeyword 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, valuesof False indicate to leave the value in the output alone. **kwargs For other keyword-only arguments, see theufunc docs.

Returns:

y:ndarray The corresponding hyperbolic sine values.This is a scalar ifx is a scalar.

Notes

Ifout 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)>>>out2isout1True

>>># 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>", line1, in<module>ValueError:invalid return array shape