# larq.math¶

Math operations that are specific to extremely quantized networks.

## sign¶

sign(x)

A sign function that will never be zero $f(x) = \begin{cases} -1 & x < 0 \\ 1 & x \geq 0 \end{cases}$

This function is similar to tf.math.sign but will return a binary value and will never be zero.

Arguments

• x: Input Tensor

Returns

A Tensor with same type as x.

## heaviside¶

heaviside(x)

Heaviside step function with output values 0 and 1.

$q(x) = \begin{cases} +1 & x > 0 \\ 0 & x \leq 0 \end{cases}$

Arguments

• x: Input Tensor

Returns

A Tensor with same type as x.