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Frame agreement: Difference between revisions
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m (→Model: replace with a more symmetric computation of cell ranks; no need for tables) |
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=== Model === | === Model === | ||
In dialects that do not feature frame prefix agreement, it can nevertheless be utilised by the introduction of an explicit operator: | In dialects that do not feature frame prefix agreement, it can nevertheless be utilised by the introduction of an explicit operator: | ||
<syntaxhighlight lang=apl> | <syntaxhighlight lang=apl> | ||
_FA_←{ | _FA_←{ | ||
assert←{0≡⍵:'no common frame prefix' ⎕SIGNAL 4 ⋄ ⍵} | assert←{0≡⍵:'error: no common frame prefix' ⎕SIGNAL 4 ⋄ ⍵} | ||
r←1↓⌽3⍴⌽⍵⍵ ⋄ | r←1↓⌽3⍴⌽⍵⍵ ⋄ ar←≢¨p←⍴¨⍺⍵ ⍝ dyadic ranks, array ranks, shapes | ||
c←r{⍺>0:⍺⌊⍵ ⋄ 0⌈⍺+⍵} | c←r{⍺>0:⍺⌊⍵ ⋄ 0⌈⍺+⍵}¨ar ⍝ cell ranks | ||
fl fr←(-c)↓¨p | fl fr←(-c)↓¨p ⍝ left and right frames | ||
s←fl{⍺<⍥≢⍵:⍺ ⋄ ⍵}fr | s←fl{⍺<⍥≢⍵:⍺ ⋄ ⍵}fr ⍝ shorter frame | ||
k←{⍬≡⍵:99 ⋄ -≢⍵}s | k←{⍬≡⍵:99 ⋄ -≢⍵}s ⍝ relative rank | ||
assert ⍺∧⍥(s≡(≢s)↑⍴)⍵: | assert ⍺∧⍥(s≡(≢s)↑⍴)⍵: ⍝ do frames agree? | ||
⍺ ⍺⍺⍤c⍤k⊢⍵ | ⍺ ⍺⍺⍤c⍤k⊢⍵ | ||
} | } | ||
x+_FA_ 0 1⊢y | x+_FA_ 0 1⊢y | ||
0 1 | 0 1 | ||