sinh(x, out=None, where=None, **kwargs)¶
Hyperbolic sine, element-wise.
1/2 * (mt.exp(x) - mt.exp(-x))or
-1j * mt.sin(1j*x).
- x : array_like
- Input tensor.
- out : Tensor, None, or tuple of Tensor 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 tensor 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.
- y : Tensor
- The corresponding hyperbolic sine values.
If out is provided, the function writes the result into it, and returns a reference to out. (See Examples)
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions. New York, NY: Dover, 1972, pg. 83.
>>> import mars.tensor as mt
>>> mt.sinh(0).execute() 0.0 >>> mt.sinh(mt.pi*1j/2).execute() 1j >>> mt.sinh(mt.pi*1j).execute() # (exact value is 0) 1.2246063538223773e-016j >>> # Discrepancy due to vagaries of floating point arithmetic.
>>> # Example of providing the optional output parameter >>> out1 = mt.zeros(1) >>> out2 = mt.sinh([0.1], out1) >>> out2 is out1 True
>>> # Example of ValueError due to provision of shape mis-matched `out` >>> mt.sinh(mt.zeros((3,3)),mt.zeros((2,2))).execute() Traceback (most recent call last): ... ValueError: operands could not be broadcast together with shapes (3,3) (2,2)