## Math_Test
A library of commonly used mathematical functions.

**Note:** Jack compilers implement multiplication and division using OS method calls.

### function void init() {
Initializes the library.
### function int abs(int x)
Returns the absolute value of x.
### function int multiply(int x, int y)
Returns the product of x and y. When a Jack compiler detects the multiplication operator `"*"` in the program's code, it handles it by invoking this method. In other words, the Jack expressions x*y and multiply(x,y) return the same value.
### function int divide(int x, int y)
Returns the integer part of x/y. When a Jack compiler detects the multiplication operator `"/"` in the program's code, it handles it by invoking this method. In other words, the Jack expressions x/y and divide(x,y) return the same value.
### function int sqrt(int x)
Returns the integer part of the square root of x.
### function int max(int a, int b)
Returns the greater number.
### function int min(int a, int b)
Returns the smaller number.
***
## Project
* Implement `Math.jack`
* Test in simulation:
```
$ cd 00_Math_Test
$ make
$ cd ../00_HACK
$ apio clean
$ apio sim
```

* Compare the content of special function register DEBUG0--DEBUG4.
![](math.png)