--- language: APL contributors: - ["nooodl", "https://github.com/nooodl"] filename: learnapl.apl --- ```apl ⍝ Comments in APL are prefixed by ⍝. ⍝ A list of numbers. (¯ is negative) 2 3e7 ¯4 50.3 ⍝ An expression, showing some functions. In APL, there's ⍝ no order of operations: everything is parsed right-to- ⍝ left. This is equal to 5 + (4 × (2 ÷ (5 - 3))) = 9: 5 + 4 × 2 ÷ 5 - 3 ⍝ 9 ⍝ These functions work on lists, too: 1 2 3 4 × 5 ⍝ 5 10 15 20 1 2 3 4 × 5 6 7 8 ⍝ 5 12 21 32 ⍝ All functions have single-argument and dual-argument ⍝ meanings. For example, "×" applied to two arguments ⍝ means multiply, but when applied to only a right-hand ⍝ side, it returns the sign: × ¯4 ¯2 0 2 4 ⍝ ¯1 ¯1 0 1 1 ⍝ Values can be compared using these operators (1 means ⍝ "true", 0 means "false"): 10 20 30 = 10 20 99 ⍝ 1 1 0 10 20 30 < 10 20 99 ⍝ 0 0 1 ⍝ "⍳n" returns a vector containing the first n naturals. ⍝ Matrices can be constructed using ⍴ (reshape): 4 3 ⍴ ⍳5 ⍝ 0 1 2 ⍝ 3 4 0 ⍝ 1 2 3 ⍝ 4 0 1 ⍝ Single-argument ⍴ gives you the dimensions back: ⍴ 4 3 ⍴ ⍳5 ⍝ 4 3 ⍝ Values can be stored using ←. Let's calculate the mean ⍝ value of a vector of numbers: A ← 10 60 55 23 ⍝ Sum of elements of A (/ is reduce): +/A ⍝ 148 ⍝ Length of A: ⍴A ⍝ 4 ⍝ Mean: (+/A) ÷ (⍴A) ⍝ 37 ⍝ We can define this as a function using {} and ⍵: mean ← {(+/⍵)÷⍴⍵} mean A ⍝ 37 ```