Source code for xorbits._mars.tensor.arithmetic.cosh

# Copyright 2022-2023 XProbe Inc.
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# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
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#
#      http://www.apache.org/licenses/LICENSE-2.0
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# Unless required by applicable law or agreed to in writing, software
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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


@arithmetic_operand(sparse_mode="unary")
class TensorCosh(TensorUnaryOp):
    _op_type_ = OperandDef.COSH
    _func_name = "cosh"


@infer_dtype(np.cosh)
def cosh(x, out=None, where=None, **kwargs):
    """
    Hyperbolic cosine, element-wise.

    Equivalent to ``1/2 * (mt.exp(x) + mt.exp(-x))`` and ``mt.cos(1j*x)``.

    Parameters
    ----------
    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.
    **kwargs

    Returns
    -------
    out : Tensor
        Output array of same shape as `x`.

    Examples
    --------
    >>> import mars.tensor as mt

    >>> mt.cosh(0).execute()
    1.0

    The hyperbolic cosine describes the shape of a hanging cable:

    >>> import matplotlib.pyplot as plt
    >>> x = mt.linspace(-4, 4, 1000)
    >>> plt.plot(x.execute(), mt.cosh(x).execute())
    >>> plt.show()
    """
    op = TensorCosh(**kwargs)
    return op(x, out=out, where=where)