numpy.sinh#
- numpy.sinh(x,/,out=None,*,where=True,casting='same_kind',order='K',dtype=None,subok=True[,signature])=<ufunc'sinh'>#
Hyperbolic sine, element-wise.
Equivalent to
1/2*(np.exp(x)-np.exp(-x))or-1j*np.sin(1j*x).- Parameters:
- xarray_like
Input array.
- outndarray, 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 or None,a freshly-allocated array is returned. A tuple (possible only as akeyword argument) must have length equal to the number of outputs.
- wherearray_like, optional
This condition is broadcast over the input. At locations where thecondition is True, theout array will be set to the ufunc result.Elsewhere, theout array will retain its original value.Note that if an uninitializedout array is created via the default
out=None, locations within it where the condition is False willremain uninitialized.- **kwargs
For other keyword-only arguments, see theufunc docs.
- Returns:
- yndarray
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
>>>importnumpyasnp>>>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>>>out1=np.array([0],dtype='d')>>>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:operands could not be broadcast together with shapes (3,3) (2,2)