From a17782ce2ec31709ce30edb3d96fe2f3a9a6ed1f Mon Sep 17 00:00:00 2001 From: Marshall Lochbaum Date: Sat, 24 Jul 2021 22:47:46 -0400 Subject: Documentation on fill elements --- docs/doc/order.html | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) (limited to 'docs/doc/order.html') diff --git a/docs/doc/order.html b/docs/doc/order.html index 24db519a..3b281ee3 100644 --- a/docs/doc/order.html +++ b/docs/doc/order.html @@ -21,7 +21,7 @@ ∨ "δαβγ" "δγβα" -

Sort Down always matches Sort Up reversed, ⌽∘∧. The reason for this is that BQN's array ordering is a total order, meaning that if one array doesn't come earlier or later that another array in the ordering then the two arrays match. Since any two non-matching argument cells are strictly ordered, they will have one ordering in ∧ and the opposite ordering in ∨. With the reverse, any pair of non-matching cells are ordered the same way in ⌽∘∧ and ∨. Since these two results have the same major cells in the same order, they match. However, note that the results will not always behave identically because Match doesn't take fill elements into account (if you're curious, take a look at ⊑¨∨⟨↕0,""⟩ versus ⊑¨⌽∘∧⟨↕0,""⟩).

+

Sort Down always matches Sort Up reversed, ⌽∘∧. The reason for this is that BQN's array ordering is a total order, meaning that if one array doesn't come earlier or later that another array in the ordering then the two arrays match. Since any two non-matching argument cells are strictly ordered, they will have one ordering in ∧ and the opposite ordering in ∨. With the reverse, any pair of non-matching cells are ordered the same way in ⌽∘∧ and ∨. Since these two results have the same major cells in the same order, they match. However, note that the results will not always behave identically because Match doesn't take fill elements into account (if you're curious, take a look at ⊑¨∨⟨↕0,""⟩ versus ⊑¨⌽∘∧⟨↕0,""⟩).

Grade

See the APL Wiki page for a few more examples. BQN only has the monadic form.

Grade is more abstract than Sort. Rather than rearranging the argument's cells immediately, it returns a list of indices (more precisely, a permutation) giving the ordering that would sort them.

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