More specialized comparison function for Grade

author: Marshall Lochbaum <mwlochbaum@gmail.com> 2021-04-27 17:17:16 -0400
committer: Marshall Lochbaum <mwlochbaum@gmail.com> 2021-04-27 17:17:16 -0400
commit: 3a22f8cb04d2556f18fcfaa0d7af0981537017b2 (patch)
tree: 4bd302afc7d48af4f7aef5d3916cfc3c51cda11b
parent: 714431ccb919fd7d6d96360189cf2e2c015637aa (diff)
2 files changed, 34 insertions, 25 deletions
diff --git a/docs/bqn.js b/docs/bqn.js
index 2deb2598..68708fc3 100644
--- a/docs/bqn.js
+++ b/docs/bqn.js
@@ -244,9 +244,9 @@ let provide = [
 ];
 
 let [runtime,setPrims] = run(
-  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- ,provide.concat([0,1,2,Infinity,-Infinity,-1,32,3,8,5,4,'∾','+','-','×','÷','⋆','¬','⌊','⌈','∨','∧','≠','=','>','≥','˙','√','<','⊢','⊣','≍','↑','↓','↕','⌽','⍉','/','⊔','˜','¨','⌜','˘','`','∘','○','⌾','⍟','⊘','⊸','⟜',str("+-×÷⋆√⌊⌈|¬∧∨<>≠=≤≥≡≢⊣⊢⥊∾≍↑↓↕«»⌽⍉/⍋⍒⊏⊑⊐⊒∊⍷⊔!˙˜˘¨⌜⁼´˝`∘○⊸⟜⌾⊘◶⎉⚇⍟⎊%"),str("´: 𝕩 must be a list"),str("´: Identity not found"),str("Mapping: Equal-rank argument shapes don\'t agree"),str("Mapping: Argument shape prefixes don\'t agree"),str("⍋𝕩: 𝕩 must have rank at least 1"),str("⍋ or ⍒: Rank of 𝕨 must be at least 1"),str("⍋ or ⍒: Rank of 𝕩 must be at least cell rank of 𝕨"),str("⍋ or ⍒: 𝕨 must be sorted"),str("p⊐𝕩 or 𝕨∊p: p must have rank at least 1"),str("p⊐n or n∊p: Rank of n must be at least cell rank of p"),str("/: Replication argument must have rank 1"),str("/: Amounts to replicate must be natural numbers"),str("⌽𝕩: 𝕩 must have rank at least 1"),str("𝕨⌽𝕩: 𝕨 must consist of integers"),str("↑𝕩: 𝕩 must have rank at least 1"),str("↓𝕩: 𝕩 must have rank at least 1"),str("𝕨⊑𝕩: Indices in 𝕨 must consist of integers"),str("𝕨⊑𝕩: Index out of range"),str("𝕨⊏𝕩: Indices in 𝕨 must be integers"),str("𝕨⊏𝕩: Indices out of range"),str("𝕨⊑𝕩: 𝕩 must be a list when 𝕨 is a number"),str("𝕨⊑𝕩: Indices in compound 𝕨 must be lists"),str("𝕨⊑𝕩: Index length in 𝕨 must match rank of 𝕩"),str("⊏𝕩: 𝕩 must have rank at least 1"),str("⊏𝕩: 𝕩 cannot have length 0"),str("𝕨⊏𝕩: 𝕨 must be an array"),str("⌾: Incompatible result elements in structural Under"),str(">𝕩: Elements of 𝕩 must have matching shapes"),str("∾𝕩: Elements of 𝕩 must all have the same rank"),str("∾𝕩: 𝕩 element rank must be at least argument rank"),str("∾𝕩: 𝕩 element shapes must be compatible"),str("∾𝕩: 𝕩 element trailing shapes must match"),str("∾𝕩: empty 𝕩 fill rank must be at least argument rank"),str("∾𝕩: 𝕩 must be an array"),str("⊢⊣˜∘○⊸⟜⊘◶"),str("=≠≢"),str("<"),str("≍"),str("↕/»«⊔"),str("⥊↑↓⌽⍉⊏⊑"),str("𝕨"),str("𝕩: 𝕨 must "),str("have rank at most 1"),str("consist of integers"),str("↑"),str("↓"),str("« or »: 𝕩 must have rank at least 1"),str("« or »: 𝕨 must not have higher rank than 𝕩"),str("« or »: Rank of 𝕨 must be at least rank of 𝕩 minus 1"),str("« or »: 𝕨 must share 𝕩\'s major cell shape"),str("↕𝕩: 𝕩 must consist of natural numbers"),str("↕𝕩: 𝕩 must be a number or list"),str("𝕨↕𝕩: 𝕨 must have rank at most 1"),str("𝕨↕𝕩: Length of 𝕨 must be at most rank of 𝕩"),str("𝕨↕𝕩: 𝕨 must consist of natural numbers"),str("𝕨↕𝕩: Window length 𝕨 must be at most axis length plus one"),str("First-axis primitive: 𝕩 must have rank at least 1"),str("Multi-axis primitive: 𝕨 must have rank at most 1"),str("Multi-axis primitive: Length of 𝕨 must be at most rank of 𝕩"),str("𝕨/𝕩: Lengths of components of 𝕨 must match 𝕩"),str("∊𝕩 or ⊐𝕩: 𝕩 must have rank at least 1"),str("∘⌊⌽↑"),str("𝕨⥊𝕩: 𝕨 must have rank at most 1"),str("𝕨⥊𝕩: 𝕨 must consist of natural numbers"),str("𝕨⥊𝕩: Can\'t compute axis length when rest of shape is empty"),str("𝕨⥊𝕩: 𝕨 must consist of natural numbers or ∘ ⌊ ⌽ ↑"),str("𝕨⥊𝕩: Shape must be exact when reshaping with ∘"),str("⊔: Grouping argument must consist of integers"),str("⊔: Grouping argument values cannot be less than ¯1"),str("⊔𝕩: 𝕩 must be a list"),str("𝕨⊔𝕩: Rank of simple 𝕨 must be at most rank of 𝕩"),str("𝕨⊔𝕩: Lengths of 𝕨 must equal to 𝕩, or one more only in a rank-1 component"),str("𝕨⊔𝕩: 𝕩 must be an array"),str("≥: No monadic form"),str("≤: No monadic form"),str("⎉ or ⚇: 𝔽 result must have rank at most 1"),str("⎉ or ⚇: 𝔽 result must have 1 to 3 elements"),str("⎉ or ⚇: 𝔽 result must consist of integers"),str("˝: 𝕩 must have rank at least 1"),str("˝: Identity does not exist"),str("𝕨∾𝕩: Rank of 𝕨 and 𝕩 must differ by at most 1"),str("𝕨∾𝕩: Cell shapes of 𝕨 and 𝕩 must match"),str("⍟: Repetition numbers in 𝕨𝔾𝕩 must be integers"),str("𝕨⊔𝕩: Compound 𝕨 must be a list"),str("𝕨⊔𝕩: Total rank of 𝕨 must be at most rank of 𝕩"),str("⍷𝕩: Rank of 𝕨 cannot exceed rank of 𝕩"),str("⊒: Rank of 𝕨 must be at least 1"),str("⊒: Rank of 𝕩 must be at least cell rank of 𝕨"),str("𝕨⍉𝕩: 𝕨 must have rank at most 1"),str("𝕨⍉𝕩: Length of 𝕨 must not exceed rank of 𝕩"),str("𝕨⍉𝕩: 𝕨 must consist of natural numbers"),str("𝕨⍉𝕩: Skipped result axis"),str("Cannot currently invert blocks"),str("Cannot invert modifier"),str("⁼: Inverse failed"),str("⁼: Inverse does not exist"),str("⁼: Inverse not found")])
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+ ,provide.concat([0,1,2,Infinity,-Infinity,-1,3,8,32,5,4,'∾','+','-','×','÷','⋆','¬','⌊','⌈','∨','∧','≠','=','>','≥','˙','√','<','⊢','⊣','≍','↑','↓','↕','⌽','⍉','/','⊔','˜','¨','⌜','˘','`','∘','○','⌾','⍟','⊘','⊸','⟜',str("+-×÷⋆√⌊⌈|¬∧∨<>≠=≤≥≡≢⊣⊢⥊∾≍↑↓↕«»⌽⍉/⍋⍒⊏⊑⊐⊒∊⍷⊔!˙˜˘¨⌜⁼´˝`∘○⊸⟜⌾⊘◶⎉⚇⍟⎊%"),str("´: 𝕩 must be a list"),str("´: Identity not found"),str("Mapping: Equal-rank argument shapes don\'t agree"),str("Mapping: Argument shape prefixes don\'t agree"),str("⍋𝕩: 𝕩 must have rank at least 1"),str("⍋ or ⍒: Rank of 𝕨 must be at least 1"),str("⍋ or ⍒: Rank of 𝕩 must be at least cell rank of 𝕨"),str("⍋ or ⍒: 𝕨 must be sorted"),str("p⊐𝕩 or 𝕨∊p: p must have rank at least 1"),str("p⊐n or n∊p: Rank of n must be at least cell rank of p"),str("/: Replication argument must have rank 1"),str("/: Amounts to replicate must be natural numbers"),str("⌽𝕩: 𝕩 must have rank at least 1"),str("𝕨⌽𝕩: 𝕨 must consist of integers"),str("↑𝕩: 𝕩 must have rank at least 1"),str("↓𝕩: 𝕩 must have rank at least 1"),str("𝕨⊑𝕩: Indices in 𝕨 must consist of integers"),str("𝕨⊑𝕩: Index out of range"),str("𝕨⊏𝕩: Indices in 𝕨 must be integers"),str("𝕨⊏𝕩: Indices out of range"),str("𝕨⊑𝕩: 𝕩 must be a list when 𝕨 is a number"),str("𝕨⊑𝕩: Indices in compound 𝕨 must be lists"),str("𝕨⊑𝕩: Index length in 𝕨 must match rank of 𝕩"),str("⊏𝕩: 𝕩 must have rank at least 1"),str("⊏𝕩: 𝕩 cannot have length 0"),str("𝕨⊏𝕩: 𝕨 must be an array"),str("⌾: Incompatible result elements in structural Under"),str(">𝕩: Elements of 𝕩 must have matching shapes"),str("∾𝕩: Elements of 𝕩 must all have the same rank"),str("∾𝕩: 𝕩 element rank must be at least argument rank"),str("∾𝕩: 𝕩 element shapes must be compatible"),str("∾𝕩: 𝕩 element trailing shapes must match"),str("∾𝕩: empty 𝕩 fill rank must be at least argument rank"),str("∾𝕩: 𝕩 must be an array"),str("⊢⊣˜∘○⊸⟜⊘◶"),str("=≠≢"),str("<"),str("≍"),str("↕/»«⊔"),str("⥊↑↓⌽⍉⊏⊑"),str("𝕨"),str("𝕩: 𝕨 must "),str("have rank at most 1"),str("consist of integers"),str("↑"),str("↓"),str("« or »: 𝕩 must have rank at least 1"),str("« or »: 𝕨 must not have higher rank than 𝕩"),str("« or »: Rank of 𝕨 must be at least rank of 𝕩 minus 1"),str("« or »: 𝕨 must share 𝕩\'s major cell shape"),str("↕𝕩: 𝕩 must consist of natural numbers"),str("↕𝕩: 𝕩 must be a number or list"),str("𝕨↕𝕩: 𝕨 must have rank at most 1"),str("𝕨↕𝕩: Length of 𝕨 must be at most rank of 𝕩"),str("𝕨↕𝕩: 𝕨 must consist of natural numbers"),str("𝕨↕𝕩: Window length 𝕨 must be at most axis length plus one"),str("First-axis primitive: 𝕩 must have rank at least 1"),str("Multi-axis primitive: 𝕨 must have rank at most 1"),str("Multi-axis primitive: Length of 𝕨 must be at most rank of 𝕩"),str("𝕨/𝕩: Lengths of components of 𝕨 must match 𝕩"),str("∊𝕩 or ⊐𝕩: 𝕩 must have rank at least 1"),str("∘⌊⌽↑"),str("𝕨⥊𝕩: 𝕨 must have rank at most 1"),str("𝕨⥊𝕩: 𝕨 must consist of natural numbers"),str("𝕨⥊𝕩: Can\'t compute axis length when rest of shape is empty"),str("𝕨⥊𝕩: 𝕨 must consist of natural numbers or ∘ ⌊ ⌽ ↑"),str("𝕨⥊𝕩: Shape must be exact when reshaping with ∘"),str("⊔: Grouping argument must consist of integers"),str("⊔: Grouping argument values cannot be less than ¯1"),str("⊔𝕩: 𝕩 must be a list"),str("𝕨⊔𝕩: Rank of simple 𝕨 must be at most rank of 𝕩"),str("𝕨⊔𝕩: Lengths of 𝕨 must equal to 𝕩, or one more only in a rank-1 component"),str("𝕨⊔𝕩: 𝕩 must be an array"),str("≥: No monadic form"),str("≤: No monadic form"),str("⎉ or ⚇: 𝔽 result must have rank at most 1"),str("⎉ or ⚇: 𝔽 result must have 1 to 3 elements"),str("⎉ or ⚇: 𝔽 result must consist of integers"),str("˝: 𝕩 must have rank at least 1"),str("˝: Identity does not exist"),str("𝕨∾𝕩: Rank of 𝕨 and 𝕩 must differ by at most 1"),str("𝕨∾𝕩: Cell shapes of 𝕨 and 𝕩 must match"),str("⍟: Repetition numbers in 𝕨𝔾𝕩 must be integers"),str("𝕨⊔𝕩: Compound 𝕨 must be a list"),str("𝕨⊔𝕩: Total rank of 𝕨 must be at most rank of 𝕩"),str("⍷𝕩: Rank of 𝕨 cannot exceed rank of 𝕩"),str("⊒: Rank of 𝕨 must be at least 1"),str("⊒: Rank of 𝕩 must be at least cell rank of 𝕨"),str("𝕨⍉𝕩: 𝕨 must have rank at most 1"),str("𝕨⍉𝕩: Length of 𝕨 must not exceed rank of 𝕩"),str("𝕨⍉𝕩: 𝕨 must consist of natural numbers"),str("𝕨⍉𝕩: Skipped result axis"),str("Cannot currently invert blocks"),str("Cannot invert modifier"),str("⁼: Inverse failed"),str("⁼: Inverse does not exist"),str("⁼: Inverse not found")])
+ ,[[0,1,0,194],[0,0,4242,3],[0,0,4250,3],[0,0,4254,3],[2,0,4267,6],[0,0,4294,3],[0,0,4298,3],[0,0,4302,3],[1,0,4306,5],[1,0,4314,5],[2,0,4332,6],[2,0,4347,6],[2,0,4366,6],[2,0,4388,6],[2,0,4410,6],[0,0,4442,3],[0,0,4454,3],[0,0,4463,3],[0,0,4469,3],[1,0,4486,9],[0,0,4606,4],[0,0,4682,3],[0,0,4702,3],[0,0,4742,5],[0,0,4817,3],[1,1,4834,2],[2,1,4865,3],[1,1,4899,2],[0,0,4916,4],[2,1,4983,5],[0,0,5020,3],[1,1,5027,4],[1,1,5100,3],[0,0,5178,3],[0,0,5189,4],[1,0,5259,9],[0,0,5332,5],[1,1,5416,5],[1,1,5474,3],[1,0,5498,14],[1,1,5948,4],[0,0,6000,4],[0,0,6054,6],[0,0,6144,3],[0,0,6169,7],[0,0,6298,4],[0,0,6359,4],[0,0,6472,3],[0,0,6540,4],[0,0,6617,6],[0,0,6694,3],[0,0,6736,5],[0,0,6839,3],[0,0,6857,3],[0,0,6907,3],[0,0,6952,4],[2,1,7053,3],[0,0,7096,3],[2,0,7100,16],[0,0,7411,3],[0,0,7438,3],[0,0,7464,3],[0,0,7479,3],[1,0,7508,5],[2,1,7546,3],[0,0,7615,4],[0,0,7720,7],[0,0,7767,14],[0,0,8001,5],[0,0,8098,3],[0,0,8106,6],[0,0,8133,5],[0,0,8154,6],[0,1,8181,10],[1,1,8499,8],[1,0,8552,6],[1,1,8660,2],[0,0,8718,5],[0,0,8880,5],[0,0,9017,7],[0,0,9186,3],[0,0,9245,5],[0,0,9279,4],[1,0,9346,5],[2,1,9363,4],[0,0,9406,5],[0,0,9494,3],[1,0,9527,6],[0,0,9666,9],[1,0,9833,9],[0,0,9990,4],[0,0,10106,8],[0,0,10334,3],[0,0,10379,3],[0,0,10406,3],[0,0,10428,3],[0,0,10450,3],[0,0,10469,3],[1,1,10566,2],[2,0,10635,10],[2,0,10694,8],[1,0,10887,7],[0,0,10954,8],[2,0,11194,10],[0,0,11269,10],[0,0,11699,4],[0,0,11807,4],[0,0,11918,3],[0,0,11994,3],[0,0,12049,4],[0,0,12182,4],[1,1,12304,2],[2,0,12312,6],[1,1,12327,2],[0,0,12442,3],[0,0,12450,3],[0,0,12458,3],[0,0,12479,8],[0,0,12561,3],[0,0,12569,3],[0,0,12577,3],[0,0,12585,3],[0,0,12593,3],[0,0,12601,3],[0,0,12613,3],[2,0,12638,7],[0,0,12679,6],[0,0,12903,4],[0,0,13009,3],[0,0,13052,5],[0,0,13196,3],[0,0,13243,3],[0,0,13269,3],[1,0,13360,5],[0,0,13388,3],[0,0,13424,3],[0,0,13472,3],[0,0,13526,3],[0,0,13538,3],[1,1,13618,2],[0,0,13648,4],[0,0,13685,3],[0,0,13700,3],[0,0,13729,3],[0,0,13744,3],[0,0,13762,3],[0,0,13777,3],[0,0,13787,3],[2,0,13844,6],[0,0,13872,3],[1,1,13900,2],[1,1,13904,2],[0,0,13908,3],[0,0,13920,3],[0,0,13943,3],[0,0,13958,3],[0,0,13966,3],[1,0,13974,6],[1,0,14091,11],[1,0,14312,5],[0,0,14327,3],[0,0,14341,3],[0,0,14355,7],[0,0,14432,6],[0,0,14480,3],[0,0,14500,3],[0,0,14508,5],[0,0,14597,10],[0,0,14779,4],[0,0,14806,3],[0,0,14825,10],[0,0,15030,8],[0,0,15197,3],[1,1,15223,2],[0,0,15240,3],[0,0,15267,3],[0,0,15277,3],[2,0,15294,11],[0,0,15371,5],[0,0,15449,8],[0,0,15532,3],[0,0,15540,3],[1,0,15584,7],[0,0,15610,9],[1,0,15896,5],[0,0,15912,7],[1,0,16079,5],[2,0,16116,6],[0,0,16147,3],[0,0,16157,3],[0,0,16167,4],[0,0,16208,4],[0,0,16231,3],[0,0,16239,3],[0,0,16267,11],[0,0,16509,3],[0,0,16529,3],[0,0,16593,8],[0,0,16905,3],[0,0,16933,5],[0,0,17028,3],[0,0,17038,3],[0,0,17057,8],[0,0,17322,3],[0,0,17369,3],[0,0,17401,3],[0,0,17431,3],[0,0,17469,5],[0,0,17543,3],[1,0,17556,6],[0,0,17709,7],[0,0,17851,5],[0,0,17931,3],[0,0,17954,3],[0,0,17965,3],[0,0,17973,9],[0,0,18117,3],[0,0,18146,3],[0,0,18164,3],[0,0,18189,3],[0,0,18211,3],[0,0,18222,3],[1,1,18236,2],[1,0,18240,5],[1,0,18251,5],[0,0,18262,3],[0,0,18301,5],[0,0,18414,3],[1,0,18466,5],[0,0,18483,3],[0,0,18504,6],[0,0,18612,3],[0,0,18655,3],[0,0,18700,3],[0,0,18723,3],[0,0,18747,4],[0,0,18839,3],[0,0,18859,3],[0,0,18891,3],[0,0,18902,3],[0,0,18945,7],[0,0,19092,12],[2,0,19290,6],[0,0,19338,3],[0,0,19409,3],[0,0,19438,4],[1,0,19461,5],[0,0,19472,4],[0,0,19483,4],[0,0,19494,3],[1,0,19527,5],[0,0,19553,3],[0,0,19623,3],[0,0,19637,3],[0,0,19648,5],[0,0,19784,3],[0,0,19814,3],[0,0,19834,3],[0,0,19888,3],[0,0,19922,5],[0,0,19952,3],[0,0,19967,3],[1,0,20010,5],[0,0,20021,3],[0,0,20064,3],[2,0,20085,6],[1,1,20100,2],[1,1,20108,2],[0,0,20116,5],[0,0,20155,14],[0,0,20330,6],[0,0,20410,5],[0,0,20461,6],[0,0,20616,3],[0,0,20645,3],[0,0,20661,3],[0,0,20669,8],[0,0,20728,5],[0,0,20757,3],[0,0,20772,3],[1,1,20814,2],[2,1,20833,3],[0,0,20855,3],[0,0,20873,3],[0,0,20905,3],[0,0,20942,3],[0,0,20976,3],[0,0,21059,3],[0,0,21093,3],[0,0,21122,3],[0,0,21140,3],[0,0,21157,3],[0,0,21179,3],[0,0,21196,4],[0,0,21257,3]]
 );
 
 let rtAssert = runtime[42] = assertFn("!");
diff --git a/src/r.bqn b/src/r.bqn
index 0ad3bc1c..c41d48e7 100644
--- a/src/r.bqn
+++ b/src/r.bqn
@@ -138,26 +138,35 @@ Cmp ← +○IsArray◶⟨
   }
 ⟩
 
-_grade_←{
-  "⍋𝕩: 𝕩 must have rank at least 1" ! 1≤=𝕩
-  l←≠𝕩
-  m←1×´1 Cell 𝕩
-  d←⥊𝕩
-  # Counting sort for small-range ints
-  bl←bu←0⋄r←1-{((bu↩⌈´𝕩)-bl↩⌊´𝕩)≤2×l}⟜𝕩⍟⊢((m=1)×32<l)◶0‿(1×´Int⌜)d
-  0 Fill r◶⟨GroupLen⊸GroupOrd (𝕘⊑⟨-⟜bl,bu⊸-⟩)⌜ ⋄ 𝔽{𝕩⋄
-    # Merge sort
-    GT←(𝔽○(⊑⟜d) _getCellCmp m)>0˜
-    B←l⊸≤◶⊢‿l
-    (↕l){
-      i←-d←𝕨 ⋄ j←ei←ej←0
-      e←3 ⋄ G←GT○(⊑⟜(m⊸×⌜⍟(1-m=1)𝕩)) ⋄ c←⟨G,0,1,2⟩
-      s←(8≤d)⊑⟨+,{(𝕩-1){𝕩⋄e↩2⋄j↩i⋄i↩𝕩}⍟(1-G)⍟(1-e)𝕩}⟩
-      N←{i↩d+𝕨⋄ej↩B d+ei↩B j↩d+𝕩⋄e↩l≤j⋄S ei⋄i R j}
-      R←{𝕨e◶c𝕩}◶{e+↩2×ei=i↩1+𝕨⋄𝕨}‿{e+↩ej=j↩1+𝕩⋄𝕩}‿N
-      {(i R j)⊑𝕩}⟜𝕩⌜𝕩
-    }´(2⋆ni-1+⊢)⌜↕ni←⌈2 Log l+l=0
-  }⟩𝕩
+_grade ← {
+  gt ← 𝕗
+  cmps ← {𝕏˜}⌜⍟𝕗⟨≤,Cmp≤0˙,Cmp0,Cmp⟩
+  GetLE ← {
+    m←1-1=𝕨 ⋄ a←0<0+´IsArray⌜𝕩
+    𝕨 {(𝕏 _getCellCmp 𝕨)≤0˙}⍟m 𝕩{𝕏○(⊑⟜𝕗)} (a+2×m)⊑cmps
+  }
+  {
+    "⍋𝕩: 𝕩 must have rank at least 1" ! 1≤=𝕩
+    l←≠𝕩
+    m←1×´1 Cell 𝕩
+    𝕩↩⥊𝕩
+    Merge ← { # Merge sort
+      le←m GetLE 𝕩
+      B←l⊸≤◶⊢‿l
+      (↕l){
+        i←-d←𝕨 ⋄ j←ei←ej←0
+        e←3 ⋄ G←LE○(⊑⟜(m⊸×⌜⍟(1-m=1)𝕩)) ⋄ c←⟨1-G,0,1,2⟩
+        s←(8≤d)⊑⟨+,{(𝕩-1){𝕩⋄e↩2⋄j↩i⋄i↩𝕩}⍟G⍟(1-e)𝕩}⟩
+        N←{i↩d+𝕨⋄ej↩B d+ei↩B j↩d+𝕩⋄e↩l≤j⋄S ei⋄i R j}
+        R←{𝕨e◶c𝕩}◶{e+↩2×ei=i↩1+𝕨⋄𝕨}‿{e+↩ej=j↩1+𝕩⋄𝕩}‿N
+        {(i R j)⊑𝕩}⟜𝕩⌜𝕩
+      }´(2⋆ni-1+⊢)⌜↕ni←⌈2 Log l+l=0
+    }
+    # Counting sort for small-range ints
+    bl←bu←0 ⋄ Count←{GroupLen⊸GroupOrd (gt⊑⟨-⟜bl,bu⊸-⟩)⌜𝕩}
+    sr←{((bu↩⌈´𝕩)-bl↩⌊´𝕩)≤2×l}∘𝕩⍟⊢((m=1)×32<l)◶0‿(1×´Int⌜)𝕩
+    0 Fill sr◶Merge‿Count 𝕩
+  }
 }
 _binSearch ← {
   B ← 𝔽
@@ -181,8 +190,8 @@ _bins←{
   0 Fill (≠𝕨)⊸{B⟜𝕩 _binSearch 𝕨}⌜ (1×´sx)⊸×⌜ ⥊⟜(↕1×´⊢)⊑⟜(≢𝕩)⌜↕cx
 }
 
-⍋ ← Cmp  _grade_ 0 ⊘ (Cmp  _bins)
-⍒ ← Cmp˜ _grade_ 1 ⊘ (Cmp˜ _bins)
+⍋ ← 0 _grade ⊘ (Cmp  _bins)
+⍒ ← 1 _grade ⊘ (Cmp˜ _bins)
 
 # Searching
 _search←{ # 0 for ∊˜, 1 for ⊐
author	Marshall Lochbaum <mwlochbaum@gmail.com>	2021-04-27 17:17:16 -0400
committer	Marshall Lochbaum <mwlochbaum@gmail.com>	2021-04-27 17:17:16 -0400
commit	3a22f8cb04d2556f18fcfaa0d7af0981537017b2 (patch)
tree	4bd302afc7d48af4f7aef5d3916cfc3c51cda11b
parent	714431ccb919fd7d6d96360189cf2e2c015637aa (diff)