Use arithmetic for preliminary dyadic ⌊⌈

2 files changed, 4 insertions, 4 deletions

diff --git a/docs/bqn.js b/docs/bqn.js
index c893a2be..5d41b916 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("/: 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("⊏𝕩: 𝕩 must have rank at least 1"),str("⊏𝕩: 𝕩 cannot have length 0"),str("𝕨⊏𝕩: 𝕨 must be an array"),str("𝕨⊏𝕩: Indices in 𝕨 must be integers"),str("𝕨⊏𝕩: Indices out of range"),str("𝕨⊑𝕩: Index out of range"),str("𝕨⊑𝕩: Indices in 𝕨 must consist of integers"),str("𝕨⊑𝕩: 𝕩 must be a list when 𝕨 is a number"),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("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("∊𝕩 or ⊐𝕩: 𝕩 must have rank at least 1"),str("≥: No monadic form"),str("≤: No monadic form"),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("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 consist of natural numbers"),str("↕𝕩: 𝕩 must be a number or list"),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("𝕨/𝕩: Lengths of components of 𝕨 must match 𝕩"),str("⍟: Repetition numbers in 𝕨𝔾𝕩 must be integers"),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: 𝕩 must be an array"),str("𝕨⊔𝕩: Compound 𝕨 must be a list"),str("𝕨⊔𝕩: Total rank of 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("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("⍷𝕩: Rank of 𝕨 cannot exceed rank of 𝕩"),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("⊒: Rank of 𝕨 must be at least 1"),str("⊒: Rank of 𝕩 must be at least cell rank of 𝕨"),str("Cannot currently invert blocks"),str("Cannot invert modifier"),str("⁼: Inverse failed"),str("⁼: Inverse does not exist"),str("⁼: Inverse not found")])
- ,[[0,1,0,192],[0,0,4209,3],[0,0,4217,3],[0,0,4221,3],[2,0,4234,6],[0,0,4261,3],[0,0,4265,3],[0,0,4269,3],[1,0,4273,5],[1,0,4281,5],[2,0,4299,6],[2,0,4314,6],[2,0,4333,6],[2,0,4355,6],[2,0,4377,6],[0,0,4409,3],[0,0,4421,3],[0,0,4430,3],[0,0,4436,3],[0,0,4453,3],[0,0,4462,3],[1,0,4471,9],[0,0,4591,4],[0,0,4667,3],[0,0,4707,5],[0,0,4782,3],[1,1,4799,2],[2,1,4830,3],[1,1,4864,2],[2,1,4881,4],[0,0,4959,3],[1,1,4966,4],[1,1,5039,3],[0,0,5117,3],[0,0,5128,4],[1,0,5198,9],[0,0,5270,5],[2,0,5354,12],[1,1,5565,2],[1,1,5598,3],[1,0,5622,14],[0,0,6074,4],[0,0,6128,6],[0,0,6218,3],[0,0,6243,7],[0,0,6372,4],[0,0,6433,4],[0,0,6546,3],[0,0,6614,4],[0,0,6691,3],[0,0,6741,4],[0,0,6883,3],[0,0,6984,4],[2,1,7085,3],[0,0,7128,3],[2,0,7132,11],[0,0,7263,3],[0,0,7271,6],[0,0,7298,5],[0,0,7319,6],[1,0,7346,19],[0,0,7849,3],[0,0,7876,3],[0,0,7902,3],[0,0,7917,3],[1,0,7946,5],[2,1,7984,3],[0,0,8053,4],[0,0,8158,7],[0,0,8205,14],[0,0,8439,5],[0,0,8536,3],[1,1,8576,8],[1,0,8629,6],[1,1,8737,2],[0,0,8795,5],[0,0,8957,5],[0,0,9094,7],[0,0,9263,3],[0,0,9322,4],[1,0,9389,5],[2,1,9406,4],[1,0,9449,6],[0,0,9588,3],[0,0,9615,3],[0,0,9637,3],[0,0,9659,3],[0,0,9678,9],[0,0,9843,4],[0,0,10045,3],[0,0,10063,5],[0,0,10097,3],[1,1,10194,2],[2,0,10263,10],[2,0,10322,8],[1,0,10515,7],[0,0,10582,8],[0,0,10822,5],[0,0,10912,3],[2,0,10946,10],[1,0,11021,9],[0,0,11176,4],[0,0,11295,10],[1,1,11759,4],[0,0,11813,4],[0,0,11921,3],[0,0,11997,3],[0,0,12052,4],[0,0,12185,4],[0,0,12307,4],[1,1,12418,2],[2,0,12426,6],[1,1,12441,2],[0,0,12556,3],[0,0,12564,3],[0,0,12572,3],[0,0,12593,8],[0,0,12675,3],[0,0,12683,3],[0,0,12691,3],[0,0,12699,3],[0,0,12707,3],[0,0,12715,3],[0,0,12727,3],[2,0,12752,7],[0,0,12793,6],[0,0,13017,4],[0,0,13123,3],[0,0,13166,5],[0,0,13310,3],[0,0,13357,3],[0,0,13383,3],[1,0,13474,5],[0,0,13502,3],[0,0,13538,3],[0,0,13586,3],[0,0,13640,3],[0,0,13652,3],[1,1,13732,2],[0,0,13762,4],[0,0,13799,3],[0,0,13814,3],[0,0,13843,3],[0,0,13858,3],[0,0,13876,3],[0,0,13891,3],[0,0,13901,3],[2,0,13958,6],[0,0,13986,3],[1,1,14014,2],[1,1,14018,2],[0,0,14022,3],[0,0,14034,3],[0,0,14057,3],[0,0,14072,3],[0,0,14080,3],[1,0,14088,6],[1,0,14205,11],[1,0,14426,5],[0,0,14441,3],[0,0,14455,3],[0,0,14469,7],[0,0,14546,6],[0,0,14594,3],[1,0,14639,8],[0,0,14777,4],[0,0,14804,3],[0,0,14823,8],[0,0,14990,3],[0,0,15016,3],[0,0,15026,3],[0,0,15043,5],[0,0,15122,6],[0,0,15197,3],[2,0,15205,11],[1,0,15282,5],[0,0,15313,3],[0,0,15323,3],[1,0,15333,5],[0,0,15366,4],[0,0,15377,4],[0,0,15388,3],[0,0,15396,3],[0,0,15413,3],[0,0,15421,3],[1,0,15465,7],[0,0,15491,9],[1,0,15777,5],[0,0,15793,7],[0,0,15960,11],[0,0,16202,8],[0,0,16514,3],[0,0,16542,5],[0,0,16637,8],[0,0,16896,3],[0,0,16943,3],[0,0,16963,3],[1,0,17029,6],[0,0,17182,7],[0,0,17324,5],[0,0,17404,3],[0,0,17427,3],[0,0,17438,3],[0,0,17459,3],[0,0,17470,3],[0,0,17478,9],[0,0,17622,3],[0,0,17651,3],[0,0,17683,3],[0,0,17714,3],[0,0,17752,4],[0,0,17929,3],[0,0,17947,3],[0,0,17972,3],[0,0,17994,3],[0,0,18005,3],[1,1,18019,2],[1,0,18023,5],[1,0,18034,5],[0,0,18045,3],[0,0,18084,5],[0,0,18197,3],[0,0,18249,14],[0,0,18419,3],[0,0,18442,3],[0,0,18462,3],[0,0,18505,7],[0,0,18624,11],[2,0,18836,6],[0,0,18884,3],[0,0,18955,3],[0,0,18987,3],[1,0,18998,5],[1,1,19009,2],[2,1,19028,3],[0,0,19050,3],[0,0,19079,4],[0,0,19102,3],[1,0,19135,5],[0,0,19161,3],[0,0,19231,3],[0,0,19245,3],[0,0,19256,5],[0,0,19392,3],[0,0,19422,3],[0,0,19442,3],[0,0,19496,3],[0,0,19531,3],[0,0,19555,3],[0,0,19570,3],[1,0,19613,5],[0,0,19624,3],[0,0,19667,3],[0,0,19688,5],[2,0,19817,6],[1,1,19832,2],[1,1,19840,2],[0,0,19848,5],[0,0,19887,3],[0,0,19926,3],[0,0,20009,3],[0,0,20043,3],[0,0,20072,3],[0,0,20090,3],[0,0,20107,6],[0,0,20187,3],[0,0,20216,3],[0,0,20232,3],[0,0,20240,8],[0,0,20299,5],[0,0,20328,4],[0,0,20360,3],[0,0,20370,3],[0,0,20388,3],[0,0,20420,3],[0,0,20447,3],[0,0,20464,4],[0,0,20525,3],[0,0,20565,3]]
+ ,[[0,1,0,192],[0,0,4220,3],[0,0,4228,3],[0,0,4232,3],[2,0,4245,6],[0,0,4272,3],[0,0,4276,3],[0,0,4280,3],[1,0,4284,5],[1,0,4292,5],[2,0,4310,6],[2,0,4325,6],[2,0,4344,6],[2,0,4366,6],[2,0,4388,6],[0,0,4420,3],[0,0,4432,3],[0,0,4441,3],[0,0,4447,3],[1,0,4464,9],[0,0,4584,4],[0,0,4660,3],[0,0,4700,5],[0,0,4775,3],[1,1,4792,2],[2,1,4823,3],[1,1,4857,2],[2,1,4874,4],[0,0,4952,3],[1,1,4959,4],[1,1,5032,3],[0,0,5110,3],[0,0,5121,4],[1,0,5191,9],[0,0,5263,5],[2,0,5347,12],[1,1,5558,2],[1,1,5591,3],[1,0,5615,14],[0,0,6067,4],[0,0,6121,6],[0,0,6211,3],[0,0,6236,7],[0,0,6365,4],[0,0,6426,4],[0,0,6539,3],[0,0,6607,4],[0,0,6684,3],[0,0,6734,4],[0,0,6876,3],[0,0,6977,4],[2,1,7078,3],[0,0,7121,3],[2,0,7125,11],[0,0,7256,3],[0,0,7264,6],[0,0,7291,5],[0,0,7312,6],[1,0,7339,19],[0,0,7842,3],[0,0,7869,3],[0,0,7895,3],[0,0,7910,3],[1,0,7939,5],[2,1,7977,3],[0,0,8046,4],[0,0,8151,7],[0,0,8198,14],[0,0,8432,5],[0,0,8529,3],[1,1,8569,8],[1,0,8622,6],[1,1,8730,2],[0,0,8788,5],[0,0,8950,5],[0,0,9087,7],[0,0,9256,3],[0,0,9315,4],[1,0,9382,5],[2,1,9399,4],[1,0,9442,6],[0,0,9581,3],[0,0,9608,3],[0,0,9630,3],[0,0,9652,3],[0,0,9671,9],[0,0,9836,4],[0,0,10038,3],[0,0,10056,5],[0,0,10090,3],[1,1,10187,2],[2,0,10256,10],[2,0,10315,8],[1,0,10508,7],[0,0,10575,8],[0,0,10815,5],[0,0,10905,3],[2,0,10939,10],[1,0,11014,9],[0,0,11169,4],[0,0,11288,10],[1,1,11752,4],[0,0,11806,4],[0,0,11914,3],[0,0,11990,3],[0,0,12045,4],[0,0,12178,4],[0,0,12300,4],[1,1,12411,2],[2,0,12419,6],[1,1,12434,2],[0,0,12549,3],[0,0,12557,3],[0,0,12565,3],[0,0,12586,8],[0,0,12668,3],[0,0,12676,3],[0,0,12684,3],[0,0,12692,3],[0,0,12700,3],[0,0,12708,3],[0,0,12720,3],[2,0,12745,7],[0,0,12786,6],[0,0,13010,4],[0,0,13116,3],[0,0,13159,5],[0,0,13303,3],[0,0,13350,3],[0,0,13376,3],[1,0,13467,5],[0,0,13495,3],[0,0,13531,3],[0,0,13579,3],[0,0,13633,3],[0,0,13645,3],[1,1,13725,2],[0,0,13755,4],[0,0,13792,3],[0,0,13807,3],[0,0,13836,3],[0,0,13851,3],[0,0,13869,3],[0,0,13884,3],[0,0,13894,3],[2,0,13951,6],[0,0,13979,3],[1,1,14007,2],[1,1,14011,2],[0,0,14015,3],[0,0,14027,3],[0,0,14050,3],[0,0,14065,3],[0,0,14073,3],[1,0,14081,6],[1,0,14198,11],[1,0,14419,5],[0,0,14434,3],[0,0,14448,3],[0,0,14462,7],[0,0,14539,6],[0,0,14587,3],[1,0,14632,8],[0,0,14770,4],[0,0,14797,3],[0,0,14816,8],[0,0,14983,3],[0,0,15009,3],[0,0,15019,3],[0,0,15036,5],[0,0,15115,6],[0,0,15190,3],[2,0,15198,11],[1,0,15275,5],[0,0,15306,3],[0,0,15316,3],[1,0,15326,5],[0,0,15359,4],[0,0,15370,4],[0,0,15381,3],[0,0,15389,3],[0,0,15406,3],[0,0,15414,3],[1,0,15458,7],[0,0,15484,9],[1,0,15770,5],[0,0,15786,7],[0,0,15953,11],[0,0,16195,8],[0,0,16507,3],[0,0,16535,5],[0,0,16630,8],[0,0,16889,3],[0,0,16936,3],[0,0,16956,3],[1,0,17022,6],[0,0,17175,7],[0,0,17317,5],[0,0,17397,3],[0,0,17420,3],[0,0,17431,3],[0,0,17452,3],[0,0,17463,3],[0,0,17471,9],[0,0,17615,3],[0,0,17644,3],[0,0,17676,3],[0,0,17707,3],[0,0,17745,4],[0,0,17922,3],[0,0,17940,3],[0,0,17965,3],[0,0,17987,3],[0,0,17998,3],[1,1,18012,2],[1,0,18016,5],[1,0,18027,5],[0,0,18038,3],[0,0,18077,5],[0,0,18190,3],[0,0,18242,14],[0,0,18412,3],[0,0,18435,3],[0,0,18455,3],[0,0,18498,7],[0,0,18617,11],[2,0,18829,6],[0,0,18877,3],[0,0,18948,3],[0,0,18980,3],[1,0,18991,5],[1,1,19002,2],[2,1,19021,3],[0,0,19043,3],[0,0,19072,4],[0,0,19095,3],[1,0,19128,5],[0,0,19154,3],[0,0,19224,3],[0,0,19238,3],[0,0,19249,5],[0,0,19385,3],[0,0,19415,3],[0,0,19435,3],[0,0,19489,3],[0,0,19524,3],[0,0,19548,3],[0,0,19563,3],[1,0,19606,5],[0,0,19617,3],[0,0,19660,3],[0,0,19681,5],[2,0,19810,6],[1,1,19825,2],[1,1,19833,2],[0,0,19841,5],[0,0,19880,3],[0,0,19919,3],[0,0,20002,3],[0,0,20036,3],[0,0,20065,3],[0,0,20083,3],[0,0,20100,6],[0,0,20180,3],[0,0,20209,3],[0,0,20225,3],[0,0,20233,8],[0,0,20292,5],[0,0,20321,4],[0,0,20353,3],[0,0,20363,3],[0,0,20381,3],[0,0,20413,3],[0,0,20440,3],[0,0,20457,4],[0,0,20518,3],[0,0,20558,3]]
 );
 
 let rtAssert = runtime[42] = assertFn("!");
diff --git a/src/r.bqn b/src/r.bqn
index 14d3650b..d67d8430 100644
--- a/src/r.bqn
+++ b/src/r.bqn
@@ -29,8 +29,8 @@ ToArray ← Box⍟(1-IsArray)
 ≥ ←            ≤˜
 < ← Box      ⊘ (1-≥)
 > ←            (1-≤)
-⌊ ↩ ⌊        ⊘ (>⊑{𝕨‿𝕩})
-⌈ ← -∘⌊∘-    ⊘ (<⊑{𝕨‿𝕩})
+⌊ ↩ ⌊        ⊘ (⊣-≥×-)
+⌈ ← -∘⌊∘-    ⊘ (⊣-≤×-)
 | ← 0⊸≤◶-‿⊢
 ≠ ← (0<=)◶⟨1⋄0⊑≢⟩  # LIMITED to monadic case