Vitis HLS Implementation of a Root Solver

In this lab, we will build a simple hardware accelerator to find roots for a nonlinear function. The problem we consider is to the roots of a function f(x), meaning we want to find an x_root such that f(x_root) ~= 0. We will use a simple Euler iteration:

   x[k+1] = x[k] - step*f(x[k])

When f(x) > 0 and step is sufficiently small, it can be shown that x[k] -> x_root, some root of the f(x) assuming one exists. In this lab, we will build a simple Vitis IP that:

  • take parameters of the function f(x) along with parameters for the Euler descent via an AXI4-Lite interface
  • runs the Euler iteration and provides the ouptut x_root and f(x_root).

In going through the lab, you will learn to:

  • Create a floating point python, golden model for an iterative algorithm
  • Create a Vitis HLS IP for the iterative algorithm with an AXI4-Lite interface
  • Implement logic with a loop within the accelerator
  • Run C simulation and RTL co-simulation on the Vitis HLS IP
  • Compare the outputs to the python Golden model

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