mars.tensor.
arcsin
Inverse sine, element-wise.
x (array_like) – y-coordinate on the unit circle.
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.
**kwargs –
angle – The inverse sine of each element in x, in radians and in the closed interval [-pi/2, pi/2]. If x is a scalar, a scalar is returned, otherwise a tensor.
[-pi/2, pi/2]
Tensor
See also
sin, cos, arccos, tan, arctan, arctan2, emath.arcsin
sin
cos
arccos
tan
arctan
arctan2
emath.arcsin
Notes
arcsin is a multivalued function: for each x there are infinitely many numbers z such that \(sin(z) = x\). The convention is to return the angle z whose real part lies in [-pi/2, pi/2].
For real-valued input data types, arcsin always returns real output. For each value that cannot be expressed as a real number or infinity, it yields nan and sets the invalid floating point error flag.
nan
For complex-valued input, arcsin is a complex analytic function that has, by convention, the branch cuts [-inf, -1] and [1, inf] and is continuous from above on the former and from below on the latter.
The inverse sine is also known as asin or sin^{-1}.
References
Abramowitz, M. and Stegun, I. A., Handbook of Mathematical Functions, 10th printing, New York: Dover, 1964, pp. 79ff. http://www.math.sfu.ca/~cbm/aands/
Examples
>>> import mars.tensor as mt >>> mt.arcsin(1).execute() # pi/2 1.5707963267948966 >>> mt.arcsin(-1).execute() # -pi/2 -1.5707963267948966 >>> mt.arcsin(0).execute() 0.0