⌊ — Floor / Minimum

Function. Keys: Alt-d. Ranks: 0 monadic, 0 0 dyadic

⌊Y rounds down to an exact integer. Pervasive; tolerant near integers. An infinity or NaN stays a float.

⌊1.8 ¯1.8         ⍝ [1 ¯2]ₓ
⌊3r2              ⍝ 1ₓ

Complex floor uses APL’s Gaussian-integer rule.

⌊1.5j0.5          ⍝ 1j1

X⌊Y takes the real minimum. Pervasive. Beside NaN it gives Y’s item. Beside NaN, ⌊/ and ⌊\ give NaN or the least other item, depending on the processor. Empty reduction identity: ∞.

3⌊1 5             ⍝ 1 3
3⌊1 $n 5          ⍝ 1 $n 3