arctan2(x1, x2, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature, extobj])
Some inconsistencies with the Dask version may exist.
Element-wise arc tangent of x1/x2
choosing the quadrant correctly.
The quadrant (i.e., branch) is chosen so that arctan2(x1, x2)
is the signed angle in radians between the ray ending at the origin and passing through the point (1,0), and the ray ending at the origin and passing through the point (:None:None:`x2`, :None:None:`x1`). (Note the role reversal: the ":None:None:`y`-coordinate" is the first function parameter, the "x-coordinate" is the second.) By IEEE convention, this function is defined for :None:None:`x2` = +/-0 and for either or both of :None:None:`x1` and :None:None:`x2` = +/-inf (see Notes for specific values).
This function is not defined for complex-valued arguments; for the so-called argument of complex values, use angle
.
arctan2 is identical to the :None:None:`atan2` function of the underlying C library. The following special values are defined in the C standard:
====== ====== ================ :None:None:`x1` :None:None:`x2` :None:None:`arctan2(x1,x2)` ====== ====== ================ +/- 0 +0 +/- 0 +/- 0 -0 +/- pi > 0 +/-inf +0 / +pi < 0 +/-inf -0 / -pi +/-inf +inf +/- (pi/4) +/-inf -inf +/- (3*pi/4) ====== ====== ================
Note that +0 and -0 are distinct floating point numbers, as are +inf and -inf.
:None:None:`y`-coordinates.
x-coordinates. If x1.shape != x2.shape
, they must be broadcastable to a common shape (which becomes the shape of the output).
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.
This condition is broadcast over the input. At locations where the condition is True, the :None:None:`out` array will be set to the ufunc result. Elsewhere, the :None:None:`out` array will retain its original value. Note that if an uninitialized :None:None:`out` array is created via the default out=None
, locations within it where the condition is False will remain uninitialized.
For other keyword-only arguments, see the ufunc docs <ufuncs.kwargs>
.
Array of angles in radians, in the range [-pi, pi]
. This is a scalar if both :None:None:`x1` and :None:None:`x2` are scalars.
This docstring was copied from numpy.arctan2.
Consider four points in different quadrants:
This example is valid syntax, but we were not able to check execution>>> x = np.array([-1, +1, +1, -1]) # doctest: +SKIP
... y = np.array([-1, -1, +1, +1]) # doctest: +SKIP
... np.arctan2(y, x) * 180 / np.pi # doctest: +SKIP array([-135., -45., 45., 135.])
Note the order of the parameters. arctan2
is defined also when :None:None:`x2` = 0 and at several other special points, obtaining values in the range [-pi, pi]
:
>>> np.arctan2([1., -1.], [0., 0.]) # doctest: +SKIP array([ 1.57079633, -1.57079633])This example is valid syntax, but we were not able to check execution
>>> np.arctan2([0., 0., np.inf], [+0., -0., np.inf]) # doctest: +SKIP array([ 0. , 3.14159265, 0.78539816])See :
The following pages refer to to this document either explicitly or contain code examples using this.
dask.array.ufunc.arctan2
dask.array.ufunc.arcsin
dask.array.ufunc.arctan
dask.array.ufunc.angle
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