// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: tools/builtIn/ALU.hdl

/**
 * The ALU. Computes one of the following functions:
 * x+y, x-y, y–x, 0, 1, -1, x, y, -x, -y, !x, !y,
 * x+1, y+1, x-1, y-1, x&y, x|y on two 16-bit inputs.
 * Which function to compute is determined by 6 input bits 
 * denoted zx, nx, zy, ny, f, no.
 * The computed function's value is called "out".
 * In addition to computing out, the ALU computes two 
 * 1-bit outputs called zr and ng:
 * if out == 0, zr = 1; otherwise zr = 0;
 * If out < 0, ng = 1; otherwise ng = 0.
 * The 6-bit combinations (zx,nx,zy,ny,f,no) and 
 * their effect are documented in the book. 
 */

// Implementation: the ALU manipulates the x and y
// inputs and then operates on the resulting values, 
// as follows:
// if (zx  == 1) sets x = 0        // 16-bit constant
// if (nx  == 1) sets x = ~x       // bitwise "not"
// if (zy  == 1) sets y = 0        // 16-bit constant
// if (ny  == 1) sets y = ~y       // bitwise "not"
// if (f   == 1) sets out = x + y  // integer 2's-complement addition
// if (f   == 0) sets out = x & y  // bitwise And
// if (no  == 1) sets out = ~out   // bitwise Not
// if (out == 0) sets zr = 1
// if (out < 0)  sets ng = 1


CHIP ALU {

    IN  // 16-bit inputs:
        x[16], y[16],
        // Control bits:
        zx, // Zero the x input
        nx, // Negate the x input
        zy, // Zero the y input
        ny, // Negate the y input
        f,  // Function code: 1 for add, 0 for and
        no; // Negate the out output

    OUT // 16-bit output
        out[16],

        // ALU output flags
        zr, // 1 if out=0, 0 otherwise
        ng; // 1 if out<0, 0 otherwise

    BUILTIN ALU;
}