# Game Maker Programming/Mathematical calculations

GameMaker can perform mathematical functions on integers, on variables containing integers. Writing in code:

```2*2
```

would equal 4. If a=2, then:

```a*a
```

would also equal 4. Game Maker can perform basic addition, multiplication, subtraction and division, as well as square rooting, as shown below:

```sqrt(integer);
```
 random(x) Random decimal number between 0 and x (including 0, but not x). random_range(x,y) Random decimal number between x and y (including x, but not y). abs(x) Absolute value of x. sign(x) Sign of x (-1, 0, or 1) round(x) Round to nearest integer. (.5 rounds to nearest even.) floor, ceil(x) Floor and ceiling functions. frac(x) Returns fractional portion. sqrt(x) Square root. power(x,n) xn exp(x) ex ln(x) Natural log of x (loge x) log2(x) Log 2 of x. log10(x) Log 10 of x. logn(n,x) Log of base n of x. sin (x), cos(x), tan(x) Sin, cos or tan of x. arcsin, arccos, arctan(x) Inverse sin, cos or tan of x. arctan2(y, x) arctan(y/x). returns angle in correct quadrant. degtorad(x), radtodeg(x) Converts between degrees and radians. min(...), max(...), mean(...), median(...) Returns min, max, mean or median of all arguments. point_distance(x1, y1, x2, y2) Returns distance between two points. point_direction(x1, y1, x2, y2) Returns direction from (x1, y1) to (x2,y2) in degrees. lengthdir_x(len, dir), lengthdir_y(len, dir) Returns x or y component of the indicated length and direction.