# Source code for mars.tensor.arithmetic.sin

```
#!/usr/bin/env python
# -*- coding: utf-8 -*-
# Copyright 1999-2020 Alibaba Group Holding Ltd.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
import numpy as np
from ... import opcodes as OperandDef
from ..utils import infer_dtype
from .core import TensorUnaryOp
from .utils import arithmetic_operand
@arithmetic_operand(sparse_mode='unary')
class TensorSin(TensorUnaryOp):
_op_type_ = OperandDef.SIN
_func_name = 'sin'
[docs]@infer_dtype(np.sin)
def sin(x, out=None, where=None, **kwargs):
r"""
Trigonometric sine, element-wise.
Parameters
----------
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.
**kwargs
Returns
-------
y : array_like
The sine of each element of x.
See Also
--------
arcsin, sinh, cos
Notes
-----
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.
Examples
--------
Print sine of one angle:
>>> import mars.tensor as mt
>>> mt.sin(mt.pi/2.).execute()
1.0
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]')
>>> plt.ylabel('sin(x)')
>>> plt.axis('tight')
>>> plt.show()
"""
op = TensorSin(**kwargs)
return op(x, out=out, where=where)
```