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round#

ivy.round(x, /, *, decimals=0, out=None)[source]#

Round each element x_i of the input array x to the nearest integer-valued number.

Note

For complex floating-point operands, real and imaginary components must be independently rounded to the nearest integer-valued number.

Rounded real and imaginary components must be equal to their equivalent rounded real-valued floating-point counterparts (i.e., for complex-valued x, real(round(x)) must equal round(real(x))) and imag(round(x)) must equal round(imag(x))).

Special cases

  • If x_i is already an integer-valued, the result is x_i.

For floating-point operands,

  • If x_i is +infinity, the result is +infinity.

  • If x_i is -infinity, the result is -infinity.

  • If x_i is +0, the result is +0.

  • If x_i is -0, the result is -0.

  • If x_i is NaN, the result is NaN.

  • If two integers are equally close to x_i, the result is the even integer closest to x_i.

Note

For complex floating-point operands, the following special cases apply to real and imaginary components independently (e.g., if real(x_i) is NaN, the rounded real component is NaN).

  • If x_i is already integer-valued, the result is x_i.

Parameters:

  • x (Union[Array, NativeArray]) – input array containing elements to round.

  • decimals (Optional[int], default: 0) – number of decimal places to round to. Default is 0.

  • out (Optional[Array], default: None) – optional output array, for writing the result to. It must have a shape that the inputs broadcast to.

Return type:

Array

Returns:

ret – An array of the same shape and type as x, with the elements rounded to integers.

Note: PyTorch supports an additional argument decimals for the round function. It has been deliberately omitted here due to the imprecise nature of the argument in torch.round.

This function conforms to the Array API Standard. This docstring is an extension of the docstring in the standard.

Both the description and the type hints above assumes an array input for simplicity, but this function is nestable, and therefore also accepts ivy.Container instances in place of any of the arguments.

Examples

With ivy.Array input:

>>> x = ivy.array([1.2, 2.4, 3.6])
>>> y = ivy.round(x)
>>> print(y)
ivy.array([1.,2.,4.])

>>> x = ivy.array([-0, 5, 4.5])
>>> y = ivy.round(x)
>>> print(y)
ivy.array([0.,5.,4.])

>>> x = ivy.array([1.5654, 2.034, 15.1, -5.0])
>>> y = ivy.zeros(4)
>>> ivy.round(x, out=y)
>>> print(y)
ivy.array([2.,2.,15.,-5.])

>>> x = ivy.array([[0, 5.433, -343.3, 1.5],
...                [-5.5, 44.2, 11.5, 12.01]])
>>> ivy.round(x, out=x)
>>> print(x)
ivy.array([[0.,5.,-343.,2.],[-6.,44.,12.,12.]])

With ivy.Container input:

>>> x = ivy.Container(a=ivy.array([4.20, 8.6, 6.90, 0.0]),
...                   b=ivy.array([-300.9, -527.3, 4.5]))
>>> y = ivy.round(x)
>>> print(y)
{
    a:ivy.array([4.,9.,7.,0.]),
    b:ivy.array([-301.,-527.,4.])
}
Array.round(self, *, decimals=0, out=None)[source]#

ivy.Array instance method variant of ivy.round. This method simply wraps the function, and so the docstring for ivy.round also applies to this method with minimal changes.

Parameters:

  • self (Array) – input array. Should have a numeric data type.

  • decimals (int, default: 0) – number of decimal places to round to. Default is 0.

  • out (Optional[Array], default: None) – optional output array, for writing the result to. It must have a shape that the inputs broadcast to.

Return type:

Array

Returns:

ret – an array containing the rounded result for each element in self. The returned array must have the same data type as self.

Examples

Using ivy.Array instance method:

>>> x = ivy.array([6.3, -8.1, 0.5, -4.2, 6.8])
>>> y = x.round()
>>> print(y)
ivy.array([ 6., -8.,  0., -4.,  7.])

>>> x = ivy.array([-94.2, 256.0, 0.0001, -5.5, 36.6])
>>> y = x.round()
>>> print(y)
ivy.array([-94., 256., 0., -6., 37.])

>>> x = ivy.array([0.23, 3., -1.2])
>>> y = ivy.zeros(3)
>>> x.round(out=y)
>>> print(y)
ivy.array([ 0.,  3., -1.])

>>> x = ivy.array([[ -1., -67.,  0.,  15.5,  1.], [3, -45, 24.7, -678.5, 32.8]])
>>> y = x.round()
>>> print(y)
ivy.array([[-1., -67., 0., 16., 1.],
[3., -45., 25., -678., 33.]])
Container.round(self, *, decimals=0, key_chains=None, to_apply=True, prune_unapplied=False, map_sequences=False, out=None)[source]#

ivy.Container instance method variant of ivy.round. This method simply wraps the function, and so the docstring for ivy.round also applies to this method with minimal changes.

Parameters:

  • self (Container) – input container. Should have a numeric data type.

  • decimals (Union[int, Container], default: 0) – number of decimal places to round to. Default is 0.

  • key_chains (Optional[Union[List[str], Dict[str, str], Container]], default: None) – The key-chains to apply or not apply the method to. Default is None.

  • to_apply (Union[bool, Container], default: True) – If True, the method will be applied to key_chains, otherwise key_chains will be skipped. Default is True.

  • prune_unapplied (Union[bool, Container], default: False) – Whether to prune key_chains for which the function was not applied. Default is False.

  • map_sequences (Union[bool, Container], default: False) – Whether to also map method to sequences (lists, tuples). Default is False.

  • out (Optional[Container], default: None) – optional output container, for writing the result to. It must have a shape that the inputs broadcast to.

Return type:

Container

Returns:

ret – a container containing the rounded result for each element in self. The returned container must have the same data type as self.

Examples

With ivy.Container input:

>>> x = ivy.Container(a=ivy.array([4.20, 8.6, 6.90, 0.0]),
...                   b=ivy.array([-300.9, -527.3, 4.5]))
>>> y = x.round()
>>> print(y)
{
    a: ivy.array([4., 9., 7., 0.]),
    b: ivy.array([-301., -527., 4.])
}
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