Operations and precedence
Numbat operators and other language constructs, ordered by precedence form high to low:
| Operation / operator | Syntax |
|---|---|
| square, cube, … | x², x³, x⁻¹, … |
| factorial | x! |
| exponentiation | x^y, x**y |
| multiplication (implicit) | x y (whitespace) |
| unary negation | -x |
| division | x per y |
| division | x / y, x ÷ y |
| multiplication (explicit) | x * y, x · y, x × y |
| subtraction | x - y |
| addition | x + y |
| comparisons | x < y, x <= y, x ≤ y, … x == y, x != y |
| logical negation | !x |
| logical ‘and’ | x && y |
| logical ‘or’ | x || y |
| unit conversion | x -> y, x → y, x ➞ y, x to y |
| conditionals | if x then y else z |
| reverse function call | x |> f |
Note that implicit multiplication has a higher precedence than division, i.e. 50 cm / 2 m will be parsed as 50 cm / (2 m).
Also, note that per-division has a higher precedence than /-division. This means 1 / meter per second will be parsed as 1 / (meter per second).
If in doubt, you can always look at the pretty-printing output (second line in the snippet below) to make sure that your input was parsed correctly:
>>> 1 / meter per second
1 / (meter / second)
= 1 s/m