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from torch import Tensor |
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def common_broadcast(x: Tensor, y: Tensor) -> tuple[Tensor, Tensor]: |
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""" |
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Broadcasts two tensors to have the same shape by adding singleton dimensions where necessary. |
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Args: |
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x (Tensor): The first input tensor. |
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y (Tensor): The second input tensor. |
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Returns: |
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tuple[Tensor, Tensor]: A tuple containing the two tensors with broadcasted shapes. |
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Raises: |
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AssertionError: If the dimensions of the tensors do not match at any axis within their common dimensions. |
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""" |
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ndims1 = x.ndim |
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ndims2 = y.ndim |
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common_ndims = min(ndims1, ndims2) |
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for axis in range(common_ndims): |
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assert x.shape[axis] == y.shape[axis], "Dimensions not equal at axis {}".format(axis) |
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if ndims1 < ndims2: |
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x = x.reshape(x.shape + (1,) * (ndims2 - ndims1)) |
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elif ndims2 < ndims1: |
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y = y.reshape(y.shape + (1,) * (ndims1 - ndims2)) |
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return x, y |
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def batch_add(x: Tensor, y: Tensor) -> Tensor: |
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""" |
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Adds two tensors element-wise after broadcasting them to a common shape. |
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Args: |
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x (Tensor): The first input tensor. |
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y (Tensor): The second input tensor. |
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Returns: |
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Tensor: The element-wise sum of the input tensors after broadcasting. |
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""" |
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x, y = common_broadcast(x, y) |
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return x + y |
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def batch_mul(x: Tensor, y: Tensor) -> Tensor: |
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""" |
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Multiplies two tensors element-wise after broadcasting them to a common shape. |
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Args: |
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x (Tensor): The first input tensor. |
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y (Tensor): The second input tensor. |
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Returns: |
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Tensor: The element-wise product of the input tensors after broadcasting. |
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""" |
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x, y = common_broadcast(x, y) |
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return x * y |
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def batch_sub(x: Tensor, y: Tensor) -> Tensor: |
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""" |
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Subtracts two tensors element-wise after broadcasting them to a common shape. |
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Args: |
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x (Tensor): The first input tensor. |
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y (Tensor): The second input tensor. |
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Returns: |
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Tensor: The result of element-wise subtraction of the input tensors. |
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""" |
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x, y = common_broadcast(x, y) |
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return x - y |
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def batch_div(x: Tensor, y: Tensor) -> Tensor: |
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""" |
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Divides two tensors element-wise after broadcasting them to a common shape. |
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Args: |
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x (Tensor): The first input tensor. |
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y (Tensor): The second input tensor. |
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Returns: |
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Tensor: The result of element-wise division of `x` by `y` after broadcasting. |
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""" |
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x, y = common_broadcast(x, y) |
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return x / y |
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