flopscope.numpy.absolute

fnp.absolute(*args, **kwargs)[flopscope source][numpy source]

Calculate the absolute value element-wise.

Adapted from NumPy docs np.absolute

Areacore

Typecounted

Aliasesfnp.abs

Cost

\text{numel}(\text{output})

Flopscope Context

Element-wise absolute value.

flops.abs is a shorthand for this function.

Parameters

x:array_like: Input array.
out:ndarray, None, or tuple of ndarray 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 array is returned. A tuple (possible only as a keyword argument) must have length equal to the number of outputs.
where:array_like, optional: This condition is broadcast over the input. At locations where the condition is True, the out array will be set to the ufunc result. Elsewhere, the out array will retain its original value. Note that if an uninitialized out array is created via the default out=None, locations within it where the condition is False will remain uninitialized.
**kwargs: For other keyword-only arguments, see the ufunc docs.

Returns

absolute:ndarray: An ndarray containing the absolute value of each element in x. For complex input, a + ib, the absolute value is $\sqrt{ a^2 + b^2 }$ . This is a scalar if x is a scalar.

Examples

>>> import flopscope.numpy as fnp
>>> x = flops.array([-1.2, 1.2])
>>> flops.absolute(x)
array([ 1.2,  1.2])
>>> flops.absolute(1.2 + 1j)
1.5620499351813308

Plot the function over [-10, 10]:

>>> import matplotlib.pyplot as plt

>>> x = flops.linspace(start=-10, stop=10, num=101)
>>> plt.plot(x, flops.absolute(x))
>>> plt.show()

Plot the function over the complex plane:

>>> xx = x + 1j * x[:, flops.newaxis]
>>> plt.imshow(flops.abs(xx), extent=[-10, 10, -10, 10], cmap='gray')
>>> plt.show()

The abs function can be used as a shorthand for flops.absolute on ndarrays.

>>> x = flops.array([-1.2, 1.2])
>>> abs(x)
array([1.2, 1.2])