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# Licensed under the Apache License, Version 2.0 (the "License");
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import numpy as np
from ... import opcodes as OperandDef
from ..utils import infer_dtype
from .core import TensorUnaryOp
from .utils import arithmetic_operand
_op_type_ = OperandDef.SIN
_func_name = 'sin'
def sin(x, out=None, where=None, **kwargs):
Trigonometric sine, element-wise.
x : array_like
Angle, in radians (:math:`2 \pi` rad equals 360 degrees).
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 : array_like
The sine of each element of x.
arcsin, sinh, cos
The sine is one of the fundamental functions of trigonometry (the
mathematical study of triangles). Consider a circle of radius 1
centered on the origin. A ray comes in from the :math:`+x` axis, makes
an angle at the origin (measured counter-clockwise from that axis), and
departs from the origin. The :math:`y` coordinate of the outgoing
ray's intersection with the unit circle is the sine of that angle. It
ranges from -1 for :math:`x=3\pi / 2` to +1 for :math:`\pi / 2.` The
function has zeroes where the angle is a multiple of :math:`\pi`.
Sines of angles between :math:`\pi` and :math:`2\pi` are negative.
The numerous properties of the sine and related functions are included
in any standard trigonometry text.
Print sine of one angle:
>>> import mars.tensor as mt
Print sines of an array of angles given in degrees:
>>> mt.sin(mt.array((0., 30., 45., 60., 90.)) * mt.pi / 180. ).execute()
array([ 0. , 0.5 , 0.70710678, 0.8660254 , 1. ])
Plot the sine function:
>>> import matplotlib.pylab as plt
>>> x = mt.linspace(-mt.pi, mt.pi, 201)
>>> plt.plot(x.execute(), mt.sin(x).execute())
>>> plt.xlabel('Angle [rad]')
op = TensorSin(**kwargs)
return op(x, out=out, where=where)