Compute fills for arithmetic

1 files changed, 10 insertions, 8 deletions

diff --git a/docs/bqn.js b/docs/bqn.js
index 17ee51d2..ccdc247f 100644
--- a/docs/bqn.js
+++ b/docs/bqn.js
@@ -176,11 +176,11 @@ let type = x => isfunc(x) ? 3+(x.m||0) : x.sh ? 0 : 2-isnum(x);
 let decompose = x => list(!isfunc(x) ? [-1,x]
                         : x.glyph ? [0,x] : x.repr ? x.repr() : [1,x]);
 let glyph = x => x.glyph;
+let tofill = x => isfunc(x) ? undefined
+  : x.sh ? arr(x.map(tofill),x.sh,x.fill)
+  : isnum(x)?0 : ' ';
 let fill = (x,w) => {
   if (has(w)) {
-    let tofill = x => isfunc(x) ? undefined
-      : x.sh ? arr(x.map(tofill),x.sh,x.fill)
-      : isnum(x)?0 : ' ';
     return arr(x.slice(),x.sh,tofill(w));
   } else {
     let f = x.fill || 0;
@@ -190,10 +190,12 @@ let fill = (x,w) => {
 }
 let fill_by = (f,g) => (x,w) => {
   let r = f(x,w);
-  let xf=x.fill;
-  if (has(xf)) {
+  let xf=x.sh?x.fill:x;
+  if (r.sh&&has(xf)) {
     try {
-      r.fill=g(xf,!has(w)?w:has(w.fill)?w.fill:runtime[42]);
+      let wf = !(has(w)&&w.sh) ? w
+             : has(w.fill) ? w.fill : runtime[42];
+      r.fill=tofill(g(xf,wf));
     } catch(e){}
   }
   return r;
@@ -228,9 +230,9 @@ let provide = [
 ];
 
 let runtime = run(
-  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  ,provide.concat([0,1,2,32,3,8,-1,5,-Infinity,Infinity,4,-2,str("´: 𝕩 must be a list"),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("/: 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: 𝕩 must be an array"),str("𝕨⊏𝕩: Indices in 𝕨 must be integers"),str("𝕨⊏𝕩: Indices out of range"),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: 𝕩 must be an array"),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: 𝕩 must be an array"),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("≥: No monadic form"),str("≤: No monadic form"),str("´: Identity not found"),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("↕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("⊔: 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 components of 𝕨 must be compatible with 𝕩"),str("𝕨⊑𝕩: Indices in compound 𝕨 must be lists"),str("𝕨⊑𝕩: Index length in 𝕨 must match rank of 𝕩"),str("𝕨⊑𝕩: Indices in 𝕨 must consist of integers"),str("𝕨⊑𝕩: Index out of range"),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("∊𝕩 or ⊐𝕩: 𝕩 must have rank at least 1"),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("⍟: Repetition numbers in 𝕨 must be integers"),str("⁼: Inverse failed"),str("⁼: Inverse does not exist"),str("⁼: Inverse not found"),str("Cannot currently invert blocks"),str("Cannot invert modifier")])
- ,[[0,1,0,171],[2,0,4016,6],[0,0,4043,3],[0,0,4047,3],[0,0,4051,3],[1,0,4055,5],[1,0,4063,5],[2,0,4081,6],[2,0,4096,6],[2,0,4115,6],[2,0,4137,6],[2,0,4159,6],[0,0,4191,3],[0,0,4203,3],[0,0,4212,3],[0,0,4218,3],[0,0,4235,3],[0,0,4244,3],[1,0,4253,9],[0,0,4366,3],[0,0,4406,4],[0,0,4482,5],[0,0,4557,3],[1,1,4574,4],[1,1,4647,3],[0,0,4713,3],[0,0,4724,5],[2,0,4808,12],[0,0,5019,4],[0,0,5073,6],[0,0,5163,7],[0,0,5292,4],[0,0,5353,4],[0,0,5455,3],[0,0,5523,4],[1,1,5599,2],[0,0,5632,3],[0,0,5682,4],[1,0,5824,5],[0,0,5855,3],[2,0,5859,11],[0,0,5984,3],[0,0,5992,6],[0,0,6019,5],[0,0,6040,6],[1,0,6067,19],[0,0,6573,3],[0,0,6600,3],[0,0,6626,3],[0,0,6665,4],[0,0,6762,7],[0,0,6809,14],[0,0,7043,3],[1,1,7073,8],[1,0,7126,6],[1,1,7234,2],[0,0,7292,5],[0,0,7454,5],[0,0,7591,7],[0,0,7760,3],[0,0,7819,4],[1,0,7899,5],[2,1,7916,4],[0,0,7952,3],[0,0,7979,3],[0,0,8001,3],[0,0,8023,3],[0,0,8060,9],[0,0,8217,5],[0,0,8251,3],[1,1,8346,2],[2,0,8415,10],[2,0,8474,8],[1,0,8667,7],[0,0,8734,8],[0,0,8970,5],[0,0,9036,3],[1,0,9070,8],[0,0,9169,4],[0,0,9288,7],[0,0,9640,4],[0,0,9853,3],[0,0,9871,4],[1,0,9943,9],[1,1,10012,3],[1,0,10036,14],[1,1,10479,4],[1,0,10533,6],[0,0,10677,4],[0,0,10750,3],[0,0,10824,3],[0,0,10879,4],[0,0,11008,4],[0,0,11128,4],[2,0,11249,6],[1,1,11277,2],[2,0,11285,14],[2,0,11472,7],[0,0,11513,6],[0,0,11663,3],[2,1,11733,4],[0,0,11816,3],[0,0,11854,5],[0,0,11998,3],[0,0,12045,3],[0,0,12071,3],[1,0,12158,5],[2,0,12179,6],[0,0,12194,3],[0,0,12202,3],[1,1,12223,2],[0,0,12252,3],[0,0,12288,3],[0,0,12336,3],[0,0,12372,3],[1,1,12459,2],[0,0,12492,3],[0,0,12503,4],[0,0,12540,3],[0,0,12555,3],[0,0,12584,3],[0,0,12599,3],[0,0,12617,3],[0,0,12632,3],[0,0,12642,3],[0,0,12673,7],[0,0,12752,3],[1,1,12777,2],[0,0,12859,3],[1,1,12908,2],[1,1,12912,2],[0,0,12916,3],[0,0,12928,3],[0,0,12951,3],[1,0,12972,6],[1,0,13089,11],[1,0,13310,5],[0,0,13325,3],[0,0,13339,3],[0,0,13353,3],[1,0,13398,8],[0,0,13536,8],[0,0,13703,3],[0,0,13729,9],[0,0,13912,6],[0,0,13987,3],[2,0,13995,11],[1,0,14072,5],[0,0,14103,3],[0,0,14113,3],[1,0,14123,5],[0,0,14156,4],[0,0,14167,4],[0,0,14178,3],[0,0,14186,3],[0,0,14198,3],[0,0,14206,3],[1,0,14250,7],[0,0,14276,9],[1,0,14562,5],[0,0,14578,7],[0,0,14745,11],[0,0,14987,8],[0,0,15299,3],[0,0,15327,5],[0,0,15422,8],[0,0,15677,3],[0,0,15724,3],[0,0,15744,3],[1,0,15810,6],[0,0,15963,6],[0,0,16085,5],[0,0,16162,3],[0,0,16185,3],[0,0,16196,3],[0,0,16217,3],[0,0,16248,3],[0,0,16286,6],[0,0,16391,6],[0,0,16440,4],[0,0,16469,3],[0,0,16488,4],[1,1,16665,2],[0,0,16669,3],[0,0,16712,3],[0,0,16723,3],[0,0,16731,3],[0,0,16753,3],[0,0,16761,3],[0,0,16773,3],[0,0,16796,3],[0,0,16823,3],[1,0,16841,5],[1,0,16852,5],[0,0,16863,14],[0,0,17033,3],[0,0,17053,3],[0,0,17068,3],[0,0,17076,8],[0,0,17147,3],[0,0,17169,5],[0,0,17198,11],[2,0,17410,6],[0,0,17449,3],[0,0,17520,3],[0,0,17552,3],[1,0,17563,5],[1,1,17574,2],[2,1,17593,3],[0,0,17615,3],[0,0,17644,4],[0,0,17667,3],[1,0,17700,5],[0,0,17726,3],[0,0,17796,3],[0,0,17810,3],[0,0,17821,5],[0,0,17957,3],[0,0,17987,3],[0,0,18007,3],[0,0,18061,3],[0,0,18096,3],[0,0,18120,3],[0,0,18163,3],[0,0,18180,5],[0,0,18290,3],[0,0,18345,3],[0,0,18368,5],[1,0,18497,5],[0,0,18508,3],[0,0,18547,3],[0,0,18630,3],[0,0,18664,3],[0,0,18693,3],[0,0,18711,3],[0,0,18728,3],[0,0,18757,4],[0,0,18818,3],[0,0,18831,4],[0,0,18863,3],[0,0,18873,3],[0,0,18891,3],[0,0,18923,3],[0,0,18966,6],[0,0,19045,3],[0,0,19072,3],[0,0,19112,3]]
+ ,[[0,1,0,171],[2,0,4016,6],[0,0,4043,3],[0,0,4047,3],[0,0,4051,3],[1,0,4055,5],[1,0,4063,5],[2,0,4081,6],[2,0,4096,6],[2,0,4115,6],[2,0,4137,6],[2,0,4159,6],[0,0,4191,3],[0,0,4203,3],[0,0,4212,3],[0,0,4218,3],[0,0,4235,3],[0,0,4244,3],[1,0,4253,9],[0,0,4366,3],[0,0,4406,4],[0,0,4482,5],[0,0,4557,3],[1,1,4574,4],[1,1,4647,3],[0,0,4725,3],[0,0,4736,5],[2,0,4820,12],[0,0,5031,4],[0,0,5085,6],[0,0,5175,7],[0,0,5304,4],[0,0,5365,4],[0,0,5467,3],[0,0,5535,4],[1,1,5611,2],[0,0,5644,3],[0,0,5694,4],[1,0,5836,5],[0,0,5867,3],[2,0,5871,11],[0,0,5996,3],[0,0,6004,6],[0,0,6031,5],[0,0,6052,6],[1,0,6079,19],[0,0,6585,3],[0,0,6612,3],[0,0,6638,3],[0,0,6677,4],[0,0,6774,7],[0,0,6821,14],[0,0,7055,3],[1,1,7085,8],[1,0,7138,6],[1,1,7246,2],[0,0,7304,5],[0,0,7466,5],[0,0,7603,7],[0,0,7772,3],[0,0,7831,4],[1,0,7911,5],[2,1,7928,4],[0,0,7964,3],[0,0,7991,3],[0,0,8013,3],[0,0,8035,3],[0,0,8072,9],[0,0,8229,5],[0,0,8263,3],[1,1,8358,2],[2,0,8427,10],[2,0,8486,8],[1,0,8679,7],[0,0,8746,8],[0,0,8982,5],[0,0,9048,3],[1,0,9082,8],[0,0,9181,4],[0,0,9300,7],[0,0,9652,4],[0,0,9865,3],[0,0,9883,4],[1,0,9955,9],[1,1,10024,3],[1,0,10048,14],[1,1,10491,4],[1,0,10545,6],[0,0,10689,4],[0,0,10762,3],[0,0,10836,3],[0,0,10891,4],[0,0,11020,4],[0,0,11140,4],[2,0,11261,6],[1,1,11289,2],[2,0,11297,14],[2,0,11484,7],[0,0,11525,6],[0,0,11675,3],[2,1,11745,4],[0,0,11828,3],[0,0,11866,5],[0,0,12010,3],[0,0,12057,3],[0,0,12083,3],[1,0,12170,5],[2,0,12191,6],[0,0,12206,3],[0,0,12214,3],[1,1,12235,2],[0,0,12264,3],[0,0,12300,3],[0,0,12348,3],[0,0,12384,3],[1,1,12471,2],[0,0,12504,3],[0,0,12515,4],[0,0,12552,3],[0,0,12567,3],[0,0,12596,3],[0,0,12611,3],[0,0,12629,3],[0,0,12644,3],[0,0,12654,3],[0,0,12685,7],[0,0,12764,3],[1,1,12789,2],[0,0,12871,3],[1,1,12920,2],[1,1,12924,2],[0,0,12928,3],[0,0,12940,3],[0,0,12963,3],[1,0,12984,6],[1,0,13101,11],[1,0,13322,5],[0,0,13337,3],[0,0,13351,3],[0,0,13365,3],[1,0,13410,8],[0,0,13548,8],[0,0,13715,3],[0,0,13741,9],[0,0,13924,6],[0,0,13999,3],[2,0,14007,11],[1,0,14084,5],[0,0,14115,3],[0,0,14125,3],[1,0,14135,5],[0,0,14168,4],[0,0,14179,4],[0,0,14190,3],[0,0,14198,3],[0,0,14210,3],[0,0,14218,3],[1,0,14262,7],[0,0,14288,9],[1,0,14574,5],[0,0,14590,7],[0,0,14757,11],[0,0,14999,8],[0,0,15311,3],[0,0,15339,5],[0,0,15434,8],[0,0,15689,3],[0,0,15736,3],[0,0,15756,3],[1,0,15822,6],[0,0,15975,6],[0,0,16097,5],[0,0,16174,3],[0,0,16197,3],[0,0,16208,3],[0,0,16229,3],[0,0,16260,3],[0,0,16298,6],[0,0,16403,6],[0,0,16452,4],[0,0,16481,3],[0,0,16500,4],[1,1,16677,2],[0,0,16681,3],[0,0,16724,3],[0,0,16735,3],[0,0,16743,3],[0,0,16765,3],[0,0,16773,3],[0,0,16785,3],[0,0,16808,3],[0,0,16835,3],[1,0,16853,5],[1,0,16864,5],[0,0,16875,14],[0,0,17045,3],[0,0,17065,3],[0,0,17080,3],[0,0,17088,8],[0,0,17159,3],[0,0,17181,5],[0,0,17210,11],[2,0,17422,6],[0,0,17461,3],[0,0,17532,3],[0,0,17564,3],[1,0,17575,5],[1,1,17586,2],[2,1,17605,3],[0,0,17627,3],[0,0,17656,4],[0,0,17679,3],[1,0,17712,5],[0,0,17738,3],[0,0,17808,3],[0,0,17822,3],[0,0,17833,5],[0,0,17969,3],[0,0,17999,3],[0,0,18019,3],[0,0,18073,3],[0,0,18108,3],[0,0,18132,3],[0,0,18175,3],[0,0,18192,5],[0,0,18302,3],[0,0,18357,3],[0,0,18380,5],[1,0,18509,5],[0,0,18520,3],[0,0,18559,3],[0,0,18642,3],[0,0,18676,3],[0,0,18705,3],[0,0,18723,3],[0,0,18740,3],[0,0,18769,4],[0,0,18830,3],[0,0,18843,4],[0,0,18875,3],[0,0,18885,3],[0,0,18903,3],[0,0,18935,3],[0,0,18978,6],[0,0,19057,3],[0,0,19084,3],[0,0,19124,3]]
 );
 
 // Compiler