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docs: added i0 and i0e docs for paddle #5838

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2 changes: 2 additions & 0 deletions docs/api/paddle/Overview_cn.rst
Original file line number Diff line number Diff line change
Expand Up @@ -144,6 +144,8 @@ tensor 数学操作
" :ref:`paddle.frexp <cn_api_paddle_frexp>` ", "用于把一个浮点数分解为尾数和指数的函数"
" :ref:`paddle.trapezoid <cn_api_paddle_tensor_trapezoid>` ", "在指定维度上对输入实现 trapezoid rule 算法。使用累积求和函数 sum"
" :ref:`paddle.cumulative_trapezoid <cn_api_paddle_tensor_cumulative_trapezoid>` ", "在指定维度上对输入实现 trapezoid rule 算法。使用累积求和函数 cumsum"
" :ref:`paddle.i0 <cn_api_paddle_tensor_i0>` ", "对输入 Tensor 每个元素计算第一类零阶修正贝塞尔函数"
" :ref:`paddle.i0e <cn_api_paddle_tensor_i0e>` ", "对输入 Tensor 每个元素计算第一类指数缩放的零阶修正贝塞尔函数"
.. _tensor_math_inplace:

tensor 数学操作原位(inplace)版本
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18 changes: 18 additions & 0 deletions docs/api/paddle/Tensor_cn.rst
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Expand Up @@ -2533,3 +2533,21 @@ vander(x, n=None, increasing=False, name=None)
返回类型:Tensor

请参考 :ref:`cn_api_paddle_vander`

i0(x, name=None)
:::::::::
用于将输入的 Tensor 计算第一类零阶修正贝塞尔函数。
返回:一个第一类零阶修正贝塞尔函数上的 Tensor。
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返回类型:Tensor

请参考 :ref:`cn_api_paddle_tensor_i0`

i0e(x, name=None)
:::::::::
用于将输入的 Tensor 计算第一类指数缩放的零阶修正贝塞尔函数。
返回:一个第一类指数缩放的零阶修正贝塞尔函数上的 Tensor。
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返回类型:Tensor

请参考 :ref:`cn_api_paddle_tensor_i0e`
26 changes: 26 additions & 0 deletions docs/api/paddle/i0_cn.rst
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@@ -0,0 +1,26 @@
.. _cn_api_paddle_tensor_i0:

i0
-------------------------------

.. py:function:: paddle.i0(x, name=None)


对于给定 ``x`` 计算其每个元素的第一类零阶修正贝塞尔曲线函数,其中输入 ``x`` 大小无特殊限制。返回一个第一类零阶修正贝塞尔曲线函数上的 Tensor。

.. math::
I_0(x)=\sum^{\infty}_{k=0}\frac{(x^2/4)^k}{(k!)^2}

参数
::::::::::
- **x** (Tensor) – 输入是一个多维的 Tensor,它的数据类型可以是 float32,float64。
- **name** (str,可选) - 具体用法请参见 :ref:`api_guide_Name` ,一般无需设置,默认值为 None。
返回
::::::::::
- ``Tensor`` (Tensor):在 x 处的第一类零阶修正贝塞尔曲线函数的值。


代码示例
::::::::::

COPY-FROM: paddle.i0
27 changes: 27 additions & 0 deletions docs/api/paddle/i0e_cn.rst
Original file line number Diff line number Diff line change
@@ -0,0 +1,27 @@
.. _cn_api_paddle_tensor_i0e:

i0e
-------------------------------

.. py:function:: paddle.i0e(x, name=None)


对于给定 ``x`` 计算其每个元素的第一类指数缩放零阶修正贝塞尔曲线函数,其中输入 ``x`` 大小无特殊限制。返回一个第一类指数缩放零阶修正贝塞尔曲线函数上的 Tensor。

.. math::
I_0(x)=\sum^{\infty}_{k=0}\frac{(x^2/4)^k}{(k!)^2} \\
I_{0e}(x)=e^{-\lvert x\rvert}I_0(x)

参数
::::::::::
- **x** (Tensor) – 输入是一个多维的 Tensor,它的数据类型可以是 float32,float64。
- **name** (str,可选) - 具体用法请参见 :ref:`api_guide_Name` ,一般无需设置,默认值为 None。
返回
::::::::::
- ``Tensor`` (Tensor):在 x 处的第一类指数缩放零阶修正贝塞尔曲线函数的值。


代码示例
::::::::::

COPY-FROM: paddle.i0e