path: root/docs/bqn.js

"use strict";
// Virtual machine
let has = x => x!==undefined;
let isnum = x => typeof x === "number"
let isfunc = x => typeof x === "function"
let call = (f,x,w) => {
  if (x===undefined) return x;
  if (!isfunc(f)) return f;
  if (f.m) throw Error("Runtime: Cannot call modifier as function");
  return f(x, w);
}

let getrev = names => {
  let m=names.rev;
  if (m) return m;
  m={}; names.forEach((s,i)=>m[s]=i);
  return names.rev=m;
}
let findkey = (ns, names, i) => {
  let nn=ns.names, ni;
  return ns[nn===names ? i : getrev(nn)[names[i]]];
}
let readns_sub = (v, names, i) => {
  let ni = findkey(v.ns, names, i);
  if (!has(ni)) throw Error("Unknown namespace key: "+names[i]);
  return v[ni];
}
let readns_assign = (v, vid, i) => readns_sub(v, vid.names, vid[i]);
let readns = (v, vid, i) => {
  if (!v.ns) throw Error("Key lookup in non-namespace");
  return readns_sub(v, vid.names, i);
}
let makens = (keys, vals) => {
  let n = Array(keys.length).fill().map((_,i)=>i);
  n.names=keys.map(k=>k.toLowerCase()); vals.ns=n; return vals;
}
let obj2ns = (obj, keys, f) => makens(keys, keys.map(k=>(f?f:(v=>v))(obj[k])));
let listkeys = (x,w) => {
  let s=x.ns, k=Object.keys(s).filter(n=>!isNaN(n));
  return list(k.map(n=>s.names[+n]).sort().map(str));
}

let getv= (a,i) => { let v=a[i]; if (v===null) throw Error("Runtime: Variable referenced before definition"); return v; }
let get = x => x.e ? getv(x.e,x.p) : arr(x.map(c=>get(c)), x.sh);
let set = (d, id, v) => {
  let eq = (a,b) => a.length===b.length && a.every((e,i)=>e===b[i]);
  if (id.e) {
    if (!d && id.e[id.p]===null) throw Error("↩: Variable modified before definition");
    id.e[id.p] = v;
  } else if (id.match) {
    if (!call(runtime[18],id.v,v)) throw Error();
  } else {
    if (v.sh) {
      if (!eq(id.sh,v.sh)) throw Error("← or ↩: Target and value shapes don't match");
      id.map((n,j)=>set(d,n,v[j]));
    } else if (v.ns) {
      id.map(n=>{
        if (n.e) {
          let vid=n.e.vid; set(d,n,readns_assign(v, vid, n.p));
        } else if (n.m) {
          set(d, n.m, readns(v, n.vid, n.a));
        } else {
          throw Error("← or ↩: Cannot extract non-name from namespace");
        }
      });
    } else {
      throw Error("← or ↩: Multiple targets but atomic value");
    }
  }
  return v;
}

let chkM = (v,m) => { if (m.m!==v) throw Error("Runtime: Only a "+v+"-modifier can be called as a "+v+"-modifier"); }
let genjs = (B, p, L) => { // Bytecode -> Javascript compiler
  let rD = 0;
  let r = L?"let l=0;try{":"";
  let fin = L?"}catch(er){let s=L.map(p=>p[l]);s.sh=[1,2];let m=[s,er.message];m.loc=1;m.src=e.vid.src;m.sh=[2];er.message=m;throw er;}":"";
  let szM = 1;
  let rV = n => { szM=Math.max(szM,n+1); return 'v'+n; };
  let rP = val => rV(rD++) + "="+val+";";
  let rG = () => rV(--rD);
  let num = () => { return B[p++]; }
  let ge = n => "e"+".p".repeat(n);
  loop: while(true) { r+="\n";
    if (p>B.length) throw Error("Internal compiler error: Unclosed function");
    if (L) r+="l="+p+";";
    switch(B[p++]) {
      case  0:         { r+= rP("O["+num()+"]");                                                                              break; }
      case  1:         { r+= rP("D["+num()+"](e)");                                                                           break; }
      case  6:         { rD--;                                                                                                break; }
      case  7:         { if(rD!==1) throw Error("Internal compiler error: Wrong stack size"); r+= "return v0;";               break loop; }
      case  8:         { r+= "e.ns=e.vid.ns;return e;";                                                                       break loop; }
      case 11:case 12: { let n=num(); rD-= n;      r+=rP("llst(["+(new Array(n).fill().map((_,i)=>rV(rD+i)).join(","))+"])"); break; }
      case 16:case 18: { let        f=rG(),x=rG(); r+=rP("call("+f+","+x      +")");                                          break; }
      case 17:case 19: { let w=rG(),f=rG(),x=rG(); r+=rP("call("+f+","+x+","+w+")");                                          break; }
      case 20:         { let        g=rG(),h=rG(); r+=rP("train2("      +g+","+h+")");                                        break; }
      case 21:case 23: { let f=rG(),g=rG(),h=rG(); r+=rP("train3("+f+","+g+","+h+")");                                        break; }
      case 26:         { let f=rG(),m=rG();        r+="chkM(1,"+m+");"+rP(m+"("+f      +")");                                 break; }
      case 27:         { let f=rG(),m=rG(),g=rG(); r+="chkM(2,"+m+");"+rP(m+"("+f+","+g+")");                                 break; }
      case 22:         { r+= "if(undefined==="+rV(rD-1)+")throw Error('Left argument required');";                            break; }
      case 32:case 34: { r+= rP("getv("+ge(num())+","+num()+")");                                                             break; }
      case 33:         { r+= rP("{e:"+ge(num())+",p:"+num()+"}");                                                             break; }
      case 43:         { let m=rG(); r+=rP("{match:1,v:"+m+"}");                                                              break; }
      case 47:         { let i=rG(),       v=rG(); r+="try{set(1,"+i+","+v+");}catch(e){break;}";                             break; }
      case 48:         { let i=rG(),       v=rG(); r+=rP("set(1,"+i+","+v                       +")");                        break; }
      case 49:         { let i=rG(),       v=rG(); r+=rP("set(0,"+i+","+v                       +")");                        break; }
      case 50:         { let i=rG(),f=rG(),x=rG(); r+=rP("set(0,"+i+",call("+f+","+x+",get("+i+")))");                        break; }
      case 66:         { let m=rG(); r+=rP("{vid:e.vid,m:"+m+",a:"+num()+"}");                                                break; }
      case 64:         { let v=rG(); r+=rP("readns("+v+",e.vid,"+num()+")");                                                  break; }
    }
  }
  return "let "+new Array(szM).fill().map((_,i)=>rV(i)).join(',')+";"+r+fin;
}
let run = (B,O,F,S,L,T,src,env) => { // Bytecode, Objects, Blocks, Bodies, Locations, Tokenization, source
  let train2=(  g,h)=>{                              let t=(x,w)=>call(g,call(h,x,w));            t.repr=()=>[2,  g,h];return t;}
  let train3=(f,g,h)=>{if(!has(f))return train2(g,h);let t=(x,w)=>call(g,call(h,x,w),call(f,x,w));t.repr=()=>[3,f,g,h];return t;}
  let repdf = ["","4,f,mod","5,f,mod,g"].map(s=>s?"fn.repr=()=>["+s+"];":s);

  let D = F.map(([type,imm,ind],i) => {
    let I = imm ? 0 : 3; // Operand start
    let sp = (type===0?0:type+1) + I;
    let useenv = i===0 && env;
    let gen = j => {
      let [pos,varam,vid,vex] = S[j];
      let ns = {}; if (vex) vex.forEach((e,j)=>{if(e)ns[vid[j]]=j+sp;});
      vid = (new Array(sp).fill(null)).concat(vid); vid.src=src; vid.ns=ns;
      if (T) ns.names = vid.names = T[2][0].map(s=>s.join(""));
      return [genjs(B, pos, L), vid];
    }

    let c,vid,def;
    if (isnum(ind)) {
      [c,vid] = gen(ind);
      if (useenv) { c =          "const e=env;"+c; env.vid=vid; }
      else if (imm) c =          "const e=[...e2];e.vid=vid;e.p=oe;"+c;
      else c = "const fn=(x, w)=>{const e=[...e2];e.vid=vid;e.p=oe;e[0]=fn;e[1]=x;e[2]=w;"+c+"};"+repdf[type]+"return fn;";
      c="do {"+c+"} while (0);\n";
      def = useenv ? "env" : ("new Array("+vid.length+").fill(null)");
    } else {
      if (imm || ind.length<2) throw "Internal error: malformed block info";
      let cache=[]; // Avoid generating a shared case twice
      let l=0;
      vid=[]; let g = j => {
        let [c,v] = cache[j] || (cache[j] = gen(j));
        c = "const e=[...e1];e.vid=vid["+vid.length+"];e.p=oe;e.length="+v.length+";e.fill(null,"+sp+");"+c;
        vid.push(v);
        return "do {"+c+"} while (0);\n"
      }
      let cases = ind.map((js,i) => {
        let e = js.length?"No matching case":"Left argument "+(i?"not allowed":"required");
        return js.map(g).concat(["throw Error('"+e+"');\n"]).join("");
      });
      let combine = ([mon,dy]) =>
          "(x, w)=>{const e1=[...e2];e1[0]=fn;e1[1]=x;e1[2]=w;\n"
        + "if (w===undefined) {\n"+mon+"} else {\n"+dy+"}\n"
        + "};";
      def = "new Array("+sp+").fill(null)";
      c = "const fn="+combine(cases)+repdf[type]+(type===0?"fn.inverse="+combine(cases.slice(2)):"")+"return fn;";
    }

    let de2 = "let e2="+def+";"
    if (type===0) c = de2+c;
    if (type===1) c = "const mod=(f  ) => {"+de2+" e2["+I+"]=mod;e2["+(I+1)+"]=f;"                +c+"}; mod.m=1;return mod;";
    if (type===2) c = "const mod=(f,g) => {"+de2+" e2["+I+"]=mod;e2["+(I+1)+"]=f;e2["+(I+2)+"]=g;"+c+"}; mod.m=2;return mod;";
    return Function("'use strict'; return (chkM,has,call,getv,get,set,llst,train2,train3,readns,O,L,env,vid) => D => oe => {"+c+"};")()
                                          (chkM,has,call,getv,get,set,llst,train2,train3,readns,O,L,env,vid);
  });
  D.forEach((d,i) => {D[i]=d(D)});
  return D[0]([]);
}

// Runtime
let assertFn = pre => (x,w) => {
  if (x!==1) throw {kind:pre, message:has(w)?w:x}; return x;
}
let arr = (r,sh,fill) => {r.sh=sh;r.fill=fill;return r;}
let list = (l,fill) => arr(l,[l.length],fill);
let llst = l => list(l, l.length>0&&l.every(isnum)?0:undefined);
let str = s => list(Array.from(s), ' ');
let unstr = s => s.join("");
let setrepr = (r,f) => {f.repr=r; return f;}
let m1 = m=>{let r= f   =>setrepr(()=>[4,f,r  ], m(f  )); r.m=1; return r;}
let m2 = m=>{let r=(f,g)=>setrepr(()=>[5,f,r,g], m(f,g)); r.m=2; return r;}
let ctrans = (c,t) => String.fromCodePoint(c.codePointAt(0)+t);
let plus = (x,w) => {
  if (!has(w)) return x;
  let s=typeof w, t=typeof x;
  if (s==="number" && t==="number") return w+x;
  if (s==="number" && t==="string") return ctrans(x,w);
  if (s==="string" && t==="number") return ctrans(w,x);
  if (s==="string" && t==="string") throw Error("+: Cannot add two characters");
  throw Error("+: Cannot add non-data values");
}
let minus = (x,w) => {
  if (!isnum(x)) {
    if (has(w)&&typeof w==="string") return w.codePointAt(0)-x.codePointAt(0);
    throw Error("-: Can only negate numbers");
  }
  if (!has(w)) return -x;
  let s=typeof w;
  if (s==="number") return w-x;
  if (s==="string") return ctrans(w,-x);
  throw Error("-: Cannot subtract from non-data value");
}
let times = (x,w) => {
  if (isnum(x)&&isnum(w)) return x*w;
  throw Error("×: Arguments must be numbers");
}
let divide = (x,w) => {
  if (isnum(x)&&(!has(w)||isnum(w))) return (has(w)?w:1)/x;
  throw Error("÷: Arguments must be numbers");
}
let power = (x,w) => {
  if (isnum(x)) {
    if (!has(w)) return Math.exp(x);
    if (isnum(w)) return Math.pow(w,x);
  }
  throw Error("⋆: Arguments must be numbers");
}
let log = (x,w) => {
  if (isnum(x)) {
    if (!has(w)) return Math.log(x);
    if (isnum(w)) return Math.log(x)/Math.log(w);
  }
  throw Error("⋆⁼: Arguments must be numbers");
}
let fc = (dy,mon,gl) => (x,w) => {
  if (has(w)) return dy(w,x);
  if (isnum(x)) return mon(x);
  throw Error(gl+"𝕩: Argument must be a number");
}
let floor = fc(Math.min,Math.floor,"⌊");
let ceil  = fc(Math.max,Math.ceil ,"⌈");
let abs = (x,w) => {
  if (isnum(x)) return Math.abs(x);
  throw Error("|𝕩: Argument must be a number");
}
let abs_mod = (x,w) => {
  if (!has(w)) return abs(x,w);
  if (isnum(x)&&isnum(w)) {
    let r = x%w;
    return ((x<0)!=(w<0) && r!=0) ? r+w : r;
  }
  throw Error("𝕨|𝕩: Arguments must be numbers");
}
let lesseq = (x,w) => {
  let s=typeof w, t=typeof x;
  if (s==="function"||t==="function") throw Error("𝕨≤𝕩: Cannot compare operations");
  if (w.ns||x.ns) throw Error("𝕨≤𝕩: Cannot compare namespaces");
  return +(s!==t ? s<=t : w<=x);
}
let equals = (x,w) => {
  let a,b;
  if (typeof(w)!=="function" || !(a=w.repr)) return x===w;
  if (typeof(x)!=="function" || !(b=x.repr)) return false;
  b=b(); return a().every((e,i)=>call(runtime[18],e,b[i]));  // ≡
}
let table = m1(f => (x,w) => !has(w)
  ? arr(x.map(e=>call(f,e)),x.sh)
  : arr([].concat.apply([],w.map(d=>x.map(e=>call(f,e,d)))),w.sh.concat(x.sh)));
let scan = m1(f => (x,w) => {
  let s=x.sh;
  if (!s||s.length===0) throw Error("`: 𝕩 must have rank at least 1");
  if (has(w)) {
    let r=w.sh, wr=r?r.length:0;
    if (1+wr!==s.length) throw Error("`: rank of 𝕨 must be cell rank of 𝕩");
    if (!r) w=[w];
    else if (!r.every((l,a)=>l===s[1+a])) throw Error("`: shape of 𝕨 must be cell shape of 𝕩");
  }
  let l=x.length,r=Array(l);
  if (l>0) {
    let c=1;for(let i=1;i<s.length;i++)c*=s[i];
    let i=0;
    if (!has(w)) { for(;i<c;i++) r[i]=x[i]; }
    else         { for(;i<c;i++) r[i]=call(f,x[i],w[i]); }
    for(;i<l;i++) r[i]=call(f,x[i],r[i-c]);
  }
  return arr(r,s,x.fill);
});
let cases = m2((f,g) => (x,w)=>has(w)?call(g,x,w):call(f,x,w));
let catches = m2((f,g) =>
  (x,w)=>{try{return call(f,x,w);}catch(e){return call(g,x,w);}});
let group_len = (x,w) => { // ≠¨⊔ for a valid list argument
  let l=x.reduce((a,b)=>Math.max(a,b),(w||0)-1);
  let r=Array(l+1).fill(0);
  x.map(e=>{if(e>=0)r[e]+=1;});
  return list(r,0);
}
let group_ord = (x,w) => { // ∾⊔x assuming w=group_len(x)
  let l=0,s=w.map(n=>{let l0=l;l+=n;return l0;});
  let r=Array(l);
  x.map((e,i)=>{if(e>=0)r[s[e]++]=i;});
  return list(r,x.fill);
}
let type = x => isfunc(x) ? 3+(x.m||0) : x.sh ? 0 : x.ns ? 6 : 2-isnum(x);
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)) {
    return arr(x.slice(),x.sh,tofill(w));
  } else {
    let f = x.fill;
    if (!has(f)) throw Error("Fill does not exist");
    return f;
  }
}
let fill_by = (f,g) => (x,w) => {
  let r = f(x,w);
  let a2fill = x => isfunc(x)?x:isnum(x)?0:' ';
  let xf=x.sh?x.fill:a2fill(x);
  if (r.sh&&has(xf)) {
    try {
      let wf = !has(w) ? w
             : !w.sh ? a2fill(w)
             : has(w.fill) ? w.fill : runtime[42];
      r.fill=tofill(g(xf,wf));
    } catch(e){
      r.fill=undefined;
    }
  }
  return r;
}
fill_by.m=2;

let provide = [
  type                                               // Type
 ,fill                                               // Fill
 ,log                                                // Log
 ,group_len                                          // GroupLen
 ,group_ord                                          // GroupOrd
 ,assertFn("")                                       // !
 ,plus                                               // +
 ,minus                                              // -
 ,times                                              // ×
 ,divide                                             // ÷
 ,power                                              // ⋆
 ,floor                                              // ⌊
 ,(x,w) => has(w)?+equals(x,w):x.sh?x.sh.length:0    // =
 ,lesseq                                             // ≤
 ,(x,w) => list(x.sh,0)                              // ≢
 ,(x,w) => arr(x.slice(),has(w)?w:[x.length],x.fill) // ⥊
 ,(x,w) => x[w]                                      // ⊑
 ,(x,w) => list(Array(x).fill().map((_,i)=>i),0)     // ↕
 ,table                                              // ⌜
 ,scan                                               // `
 ,fill_by                                            // _fillBy_
 ,cases                                              // ⊘
 ,catches                                            // ⎊
];

let select = (x,w) => {
  let s=x.sh, k=s.length, f=x.fill, t=w.sh, c=1;
  if (k!==1) {for(let i=1;i<k;i++)c*=s[i];t=t.concat(s.slice(1));}
  let r=Array(w.length*c);
  let j=0;
  w.forEach(i=>{for(let k=0;k<c;k++)r[j++]=x[i*c+k];});
  return arr(r,t,f);
}
let fold = f => (x,w) => {
  let l=x.sh[0];
  let r=has(w)?w:x[l=l-1];
  for (let i=l;i--;) r=call(f,r,x[i]);
  return r;
}
let runtime_0 = [
  floor                                                   // ⌊
 ,ceil                                                    // ⌈
 ,abs                                                     // |
 ,(x,w)=>has(w)?1-lesseq(w,x):arr([x],[],tofill(x))       // <
 ,(x,w)=>1-lesseq(x,w)                                    // >
 ,(x,w)=>x.sh&&x.sh.length?x.sh[0]:1                      // ≠
 ,(x,w)=>  lesseq(w,x)                                    // ≥
 ,(x,w)=>x                                                // ⊢
 ,(x,w)=>has(w)?w:x                                       // ⊣
 ,(x,w)=>arr(w.concat(x),[w.sh[0]+x.sh[0]])               // ∾
 ,(x,w)=>arr(x.slice(0,w),[w])                            // ↑
 ,(x,w)=>arr(x.slice(w),[x.sh[0]-w])                      // ↓
 ,select                                                  // ⊏
 ,m1(f=>(x,w)=>f)                                         // ˙
 ,m1(f=>(x,w)=>call(f,has(w)?w:x,x))                      // ˜
 ,m1(f=>(x,w)=>arr(x.map((e,i)=>call(f,e,w[i])),x.sh))    // ¨
 ,m1(fold)                                                // ´
 ,m2((f,g)=>(x,w)=>call(f,call(g,x,w)))                   // ∘
 ,m2((f,g)=>(x,w)=>call(f,call(g,x),has(w)?call(g,w):w))  // ○
 ,m2((f,g)=>(x,w)=>call(g,x,call(f,has(w)?w:x)))          // ⊸
 ,m2((f,g)=>(x,w)=>call(f,call(g,x),has(w)?w:x))          // ⟜
 ,m2((f,g)=>(x,w)=>call(g[call(f,x,w)],x,w))              // ◶
 ,m2((f,g)=>(x,w)=>call(g,x,w)?call(f,x,w):x)             // ⍟
];

let [runtime,setPrims] = run(
  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𝕩"),str("𝕨 must be an array of numbers or list of such arrays"),str("⊏𝕩: 𝕩 must have rank at least 1"),str("⊏𝕩: 𝕩 cannot have length 0"),str("⊏"),str("⊑𝕩: 𝕩 can\'t be empty"),str("⌽𝕩: 𝕩 must have rank at least 1"),str("𝕨⌽𝕩: 𝕨 must consist of integers"),str("𝕨⌽𝕩: 𝕨 too large"),str("⌽"),str("𝕨/𝕩: 𝕨 must consist of natural numbers"),str("𝕨/𝕩: Lengths of components of 𝕨 must match 𝕩"),str("𝕨/𝕩: Components of 𝕨 must have rank 0 or 1"),str("/"),str("=≠≡≢"),str("Cannot modify fill with Structural Under"),str("⌾: Incompatible result elements in structural Under"),str(">𝕩: Elements of 𝕩 must have matching shapes"),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("∾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("↑"),str("↓"),str("𝕩: 𝕨 must "),str("have rank at most 1"),str("consist of integers"),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("˘: Argument lengths don\'t agree"),str("˝: 𝕩 must have rank at least 1"),str("˝: Identity does not exist"),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: Can\'t produce non-empty array from empty 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: 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("⎉ or ⚇: 𝔾 result must have rank at most 1"),str("⎉ or ⚇: 𝔾 result must have 1 to 3 elements"),str("⎉ or ⚇: 𝔾 result must consist of integers"),str("⍟: 𝕨𝔾𝕩 must consist of integers"),str("≥: Needs two arguments"),str("≤: Needs two arguments"),str("𝕨⊔𝕩: Compound 𝕨 must be a list"),str("𝕨⊔𝕩: Total rank of 𝕨 must be at most 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],[0,0,1],[0,0,2],[0,0,3],[0,0,4],[0,0,[[],[5]]],[0,0,6],[1,1,7],[2,1,8],[1,1,9],[0,0,10],[2,1,11],[0,0,12],[1,0,13],[1,1,14],[1,1,15],[0,0,16],[0,0,17],[1,0,18],[0,0,[[],[19]]],[1,1,20],[1,1,21],[1,0,22],[0,0,[[],[23]]],[0,0,24],[0,0,25],[0,0,26],[0,0,27],[0,0,28],[0,0,29],[0,0,30],[0,0,31],[0,0,32],[0,0,[[],[33]]],[0,0,34],[0,0,[[],[35]]],[1,1,36],[0,0,37],[0,0,[[],[38]]],[0,0,[[],[39]]],[0,0,40],[0,0,41],[0,0,[[],[42]]],[0,0,[[],[43]]],[0,1,44],[0,0,45],[0,0,[[],[46]]],[0,0,47],[0,0,48],[0,0,[[],[49]]],[2,1,50],[1,0,51],[1,0,52],[0,0,53],[0,0,[[],[54]]],[2,0,55],[0,0,56],[0,0,[[],[57]]],[0,0,58],[2,1,59],[0,0,60],[0,0,61],[0,0,62],[0,0,63],[0,0,[[],[64]]],[0,0,[[],[65]]],[0,0,66],[0,0,67],[0,0,68],[0,1,69],[1,1,70],[0,0,71],[0,0,72],[0,0,73],[0,0,74],[0,0,[[],[75]]],[0,0,76],[1,0,77],[1,0,78],[0,0,[[],[79]]],[1,0,80],[0,0,81],[0,0,[[],[82]]],[0,0,[[],[83]]],[0,0,[[],[84]]],[1,1,85],[2,0,86],[2,0,87],[2,0,88],[0,0,[[],[89]]],[0,0,[[],[90]]],[0,0,[[],[91]]],[0,0,[[],[92]]],[0,0,[[],[93]]],[0,0,[[],[94]]],[0,0,[[],[95]]],[1,1,96],[2,0,97],[1,1,98],[0,0,99],[0,0,100],[0,0,[[],[101]]],[0,0,102],[0,0,103],[0,0,104],[0,0,105],[0,0,[[],[106]]],[0,0,107],[0,0,[[],[108]]],[0,0,109],[2,0,110],[0,0,111],[0,0,[[],[112]]],[0,0,[[],[113]]],[0,0,114],[0,0,[[],[115]]],[0,0,116],[0,0,117],[0,0,118],[0,0,119],[0,0,120],[0,0,121],[0,0,122],[1,1,123],[0,0,[[],[124]]],[0,0,[[],[125]]],[0,0,[[],[126]]],[0,0,[[],[127]]],[0,0,[[],[128]]],[0,0,[[],[129]]],[0,0,130],[0,0,[[],[131]]],[2,0,132],[0,0,133],[0,0,134],[0,0,135],[1,0,136],[1,0,[[],[137]]],[0,0,138],[0,0,[[],[139]]],[0,0,[[],[140]]],[0,0,141],[0,0,142],[0,0,143],[0,0,144],[0,0,[[],[145]]],[0,0,[[],[146]]],[0,0,147],[2,0,148],[0,0,[[],[149]]],[0,0,150],[0,0,[[],[151]]],[0,0,[[],[152]]],[0,0,153],[1,1,154],[0,0,155],[0,0,[[],[156]]],[0,0,157],[0,0,[[],[158]]],[0,0,159],[0,0,[[],[160]]],[0,0,161],[0,0,162],[0,0,[[],[163]]],[2,0,164],[0,0,[[],[165]]],[0,0,[[],[166]]],[0,0,167],[0,0,168],[1,0,[[],[169]]],[0,0,[[],[170]]],[1,0,171],[0,0,172],[1,0,173],[2,0,[[],[174]]],[0,0,175],[0,0,176],[0,0,[[],[177]]],[0,0,178],[0,0,179],[0,0,[[],[180]]],[1,0,[[],[181]]],[1,1,182],[0,0,[[],[183]]],[0,0,[[],[184]]],[0,0,[[],[185]]],[0,0,[[],[186]]],[0,0,[[],[187]]],[0,0,[[],[188]]],[0,0,[[],[189]]],[0,0,190],[0,0,191],[1,1,192],[0,0,193],[0,0,[[],[194]]],[0,0,[[],[195]]],[0,0,196],[0,0,197],[0,0,198],[0,0,199],[0,0,200],[0,0,201],[0,0,202],[0,0,203],[0,0,204],[0,0,[[],[205]]],[0,0,206],[2,1,207],[2,1,208],[1,1,209],[1,1,210],[1,1,211],[0,0,[[],[212]]],[0,0,213],[0,0,214],[0,0,215],[0,0,[[],[216]]],[0,0,217],[0,0,[[],[218]]],[0,0,[[],[219]]],[0,0,[[],[220]]],[1,1,221],[0,0,222],[0,0,[[],[223]]],[0,0,224],[1,0,225],[0,0,226],[0,0,[[],[227]]],[0,0,228],[0,0,229],[0,0,[[],[230]]],[0,0,231],[0,0,232],[0,0,233],[0,0,234],[0,0,[[],[235]]],[0,0,236],[2,0,237],[0,0,[[],[238]]],[0,0,239],[0,0,240],[1,0,241],[0,0,242],[0,0,243],[1,0,244],[0,0,[[],[245]]],[0,0,246],[0,0,247],[1,0,248],[0,0,[[],[249]]],[0,0,[[],[250]]],[0,0,251],[0,0,252],[0,0,[[],[253]]],[0,0,254],[0,0,[[],[255]]],[0,0,256],[0,0,257],[1,0,258],[0,0,259],[0,0,260],[0,0,[[],[261]]],[0,0,262],[1,0,263],[0,0,264],[0,0,[[],[265]]],[2,0,266],[1,1,267],[1,1,268],[0,0,269],[0,0,270],[0,0,271],[0,0,272],[0,0,273],[0,0,274],[0,0,275],[0,0,276],[0,0,277],[0,0,[[],[278]]],[0,0,279],[0,0,[[],[280]]],[0,0,281],[0,0,282],[0,0,[[],[283]]],[1,1,284],[2,1,285],[0,0,286],[0,0,[[],[287]]],[0,0,288],[0,0,[[],[289]]],[0,0,290],[1,0,291],[0,0,[[],[292]]],[0,0,293],[0,0,294],[0,0,295],[0,0,296],[0,0,[[],[297]]],[0,0,[[],[298]]],[0,0,299],[0,0,300],[0,0,301],[0,0,302]]
 ,[[0,184],[4063,3],[4071,3],[4075,3],[4088,3],[4100,3],[4109,3],[4115,2],[4144,3],[4176,2],[4193,4],[4255,5],[4291,3],[4298,5],[4356,4],[4422,3],[4477,3],[4488,4],[4553,9],[4622,5],[4699,5],[4766,4],[4822,8],[4994,8],[5151,3],[5196,3],[5245,3],[5364,6],[5449,3],[5473,7],[5587,3],[5649,4],[5720,6],[5784,3],[5824,5],[5901,3],[5918,14],[6098,3],[6144,3],[6164,3],[6181,4],[6239,4],[6315,5],[6389,3],[6448,0],[6459,4],[6539,3],[6549,3],[6556,3],[6570,3],[6578,3],[6616,5],[6653,5],[6680,3],[6684,3],[6698,16],[6993,3],[7018,3],[7043,3],[7070,3],[7129,4],[7229,7],[7426,7],[7472,14],[7696,5],[7775,3],[7783,6],[7810,5],[7831,6],[7858,11],[8191,9],[8348,4],[8424,7],[8536,7],[8653,3],[8761,4],[8823,8],[8935,8],[9009,7],[9071,9],[9229,9],[9377,4],[9488,8],[9702,3],[9746,3],[9883,2],[9904,14],[10029,9],[10211,10],[10284,3],[10310,10],[10718,4],[10823,3],[10897,3],[10948,4],[11075,4],[11191,2],[11199,6],[11214,2],[11273,3],[11281,3],[11289,3],[11309,8],[11384,3],[11392,3],[11400,3],[11408,3],[11416,3],[11424,3],[11435,3],[11456,7],[11497,6],[11716,4],[11816,4],[11876,3],[11919,5],[12057,3],[12104,3],[12130,3],[12163,3],[12207,3],[12255,3],[12267,3],[12340,2],[12366,4],[12402,3],[12417,3],[12446,3],[12461,3],[12479,3],[12493,3],[12503,3],[12555,6],[12583,3],[12611,3],[12619,3],[12627,5],[12662,12],[12835,3],[12846,3],[12866,3],[12886,3],[12897,3],[12908,3],[12923,7],[12996,6],[13042,3],[13060,3],[13067,6],[13102,10],[13279,4],[13335,11],[13536,4],[13603,3],[13628,2],[13643,3],[13670,7],[13811,3],[13840,3],[13850,3],[13869,3],[13879,3],[13888,3],[13898,3],[13915,11],[13988,6],[14091,8],[14169,3],[14177,3],[14219,7],[14245,9],[14491,5],[14507,6],[14629,5],[14662,6],[14691,3],[14701,3],[14711,4],[14750,4],[14773,3],[14781,3],[14806,6],[14902,2],[14952,8],[15133,11],[15338,3],[15397,3],[15424,3],[15441,3],[15458,8],[15640,3],[15654,3],[15685,2],[15719,3],[15754,3],[15775,3],[15796,5],[15867,3],[15887,8],[16117,3],[16185,3],[16215,3],[16246,3],[16280,5],[16347,3],[16356,3],[16369,3],[16373,3],[16381,3],[16391,2],[16405,2],[16420,6],[16514,3],[16524,3],[16531,9],[16665,3],[16691,3],[16709,3],[16733,3],[16754,3],[16765,3],[16778,2],[16782,3],[16818,5],[16920,3],[16967,5],[16990,3],[17007,14],[17291,13],[17488,3],[17531,4],[17614,3],[17650,3],[17679,3],[17690,4],[17726,7],[17863,10],[18053,6],[18088,3],[18153,3],[18181,4],[18204,5],[18215,4],[18226,4],[18237,5],[18257,4],[18332,3],[18365,3],[18395,5],[18420,3],[18486,3],[18500,3],[18511,5],[18610,4],[18739,3],[18763,3],[18809,3],[18842,3],[18871,5],[18903,3],[18939,3],[18965,3],[18993,3],[19015,5],[19025,3],[19058,3],[19078,6],[19093,2],[19101,2],[19109,5],[19147,3],[19157,3],[19173,5],[19224,3],[19249,6],[19358,3],[19398,3],[19439,5],[19489,6],[19626,3],[19634,8],[19691,5],[19720,3],[19735,3],[19785,2],[19803,3],[19824,3],[19842,3],[19871,3],[19890,3],[19909,6],[19988,5],[20003,14],[20167,3],[20188,3],[20204,4],[20260,3],[20292,3],[20375,3],[20409,3],[20438,3],[20455,3],[20472,3]]
);

// Use high-precision modulus (⚇0)
abs_mod.prim=8; runtime[8] = runtime[60](abs_mod,0);

// Allow inverses defined in JS
let undo0 = runtime[48];
runtime[48] = f => f.inverse || undo0(f);
runtime[48].m = 1;

let rtAssert = runtime[42] = assertFn("!");
runtime.map((r,i) => { r.prim = i; });
let decompose = x => list(!isfunc(x) ? [-1,x] : has(x.prim) ? [0,x]
                        : x.repr ? x.repr() : [1,x]);
setPrims(list([decompose, x=>has(x.prim)?x.prim:runtime.length]));
let glyphs = ["+-×÷⋆√⌊⌈|¬∧∨<>≠=≤≥≡≢⊣⊢⥊∾≍↑↓↕«»⌽⍉/⍋⍒⊏⊑⊐⊒∊⍷⊔!", "˙˜˘¨⌜⁼´˝`", "∘○⊸⟜⌾⊘◶⎉⚇⍟⎊"];
let gl = glyphs.join("");
let glyph = x => {
  let g = gl[x.prim];
  if (!has(g)) throw Error("•Glyph 𝕩: 𝕩 must be a primitive");
  return g;
}

// Compiler
runtime[42] = assertFn("Compiler");
let compgen_raw = run(
  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,0,26,0,59,17,33,0,195,48,6,32,0,193,0,0,34,0,191,17,0,33,0,52,0,32,0,50,0,33,0,52,32,0,195,0,53,0,33,27,0,31,20,0,30,34,0,194,21,27,27,27,16,0,6,0,68,17,33,0,196,48,6,32,0,189,0,33,32,0,192,17,0,39,32,0,196,0,49,0,0,26,16,0,21,0,63,17,0,24,0,33,34,0,195,21,0,0,34,0,193,21,0,33,0,0,0,18,0,50,0,36,27,21,34,0,192,21,0,42,0,21,26,0,23,21,0,59,17,17,0,39,0,52,0,30,27,34,0,196,17,33,0,189,49,6,34,0,80,0,30,32,0,48,17,34,0,79,0,8,16,0,30,32,0,48,17,32,0,48,0,30,16,0,30,0,52,34,0,49,0,30,34,0,48,17,27,0,54,34,0,189,27,16,11,3,33,0,197,48,6,34,0,177,0,13,0,51,0,1,27,32,0,185,17,0,16,34,0,183,17,0,21,0,64,17,0,30,16,32,0,140,0,44,0,13,26,16,0,0,34,0,82,17,34,0,140,34,0,153,11,4,33,0,198,48,6,34,0,184,0,34,0,59,17,0,21,34,0,185,17,34,0,169,34,0,197,34,0,198,34,0,188,11,5,7,11,0,0,44,0,166,0,50,0,40,27,26,11,0,0,63,0,25,16,11,4,33,0,3,48,6,34,0,2,0,13,0,11,0,67,21,0,57,0,11,0,51,0,22,27,27,16,0,41,34,0,3,26,0,24,0,13,21,0,53,0,21,27,16,33,0,4,33,0,5,33,0,6,33,0,7,12,4,48,6,34,0,1,32,1,40,34,0,5,32,0,6,11,2,17,33,0,8,48,33,0,9,33,0,10,33,0,11,33,0,12,33,0,13,12,5,48,6,34,0,9,32,1,42,34,0,10,32,0,11,0,34,16,34,0,12,34,0,13,34,0,6,0,44,0,63,26,16,0,27,34,0,7,17,11,5,17,33,0,14,33,0,15,33,0,16,33,0,17,33,0,18,12,5,48,6,34,0,14,34,0,11,0,24,0,64,17,0,21,34,0,4,0,33,34,0,15,17,11,1,17,0,21,16,34,0,16,0,12,16,0,29,16,0,43,0,11,26,16,34,0,17,0,12,16,0,29,16,0,43,0,11,26,16,34,0,18,34,0,8,11,6,7,34,0,1,34,0,2,16,7,32,0,1,0,33,0,52,32,0,2,0,30,34,0,1,19,27,0,54,0,44,0,64,26,27,16,32,1,13,34,0,2,0,42,0,33,26,18,17,7,34,0,1,0,30,16,0,34,16,0,111,11,2,0,40,16,7,34,0,1,0,21,0,63,17,0,33,0,52,0,49,0,0,26,27,32,1,31,17,0,9,32,1,32,17,0,30,16,0,112,11,2,0,40,16,7,32,1,26,0,30,34,0,1,17,0,113,11,2,0,40,16,7,32,1,26,0,30,34,0,1,17,0,114,11,2,0,40,16,7,34,0,2,0,30,34,0,1,19,0,42,0,33,26,32,1,26,19,0,115,11,2,0,40,16,7,32,0,2,0,42,0,30,26,33,1,26,50,6,32,0,2,0,42,0,30,26,33,1,25,50,6,34,0,1,0,30,34,0,2,17,7,0,47,0,10,26,0,57,34,0,1,0,11,0,51,0,22,27,34,0,2,0,53,0,30,27,21,0,40,20,27,7,0,63,0,28,0,53,0,45,0,14,26,27,0,48,1,25,26,0,19,0,50,0,44,0,63,26,27,21,0,34,0,59,21,11,2,0,55,0,13,0,11,0,63,21,0,51,0,9,27,27,33,0,3,48,6,1,26,33,0,4,48,6,0,63,32,0,4,0,125,27,0,42,0,64,34,0,4,0,126,27,26,11,2,0,55,0,13,0,51,0,12,27,27,33,0,5,48,6,34,0,1,34,0,5,0,127,11,2,0,55,0,13,0,51,0,5,27,0,11,34,0,3,21,27,34,0,2,19,0,40,16,7,0,14,0,57,0,47,0,10,26,27,0,57,34,0,1,0,11,0,51,0,22,27,34,0,2,0,53,0,30,27,0,42,0,64,0,56,0,33,27,26,0,41,32,1,6,26,0,22,32,1,5,21,21,0,29,0,50,0,9,27,20,21,0,40,20,27,7,32,1,15,0,21,0,63,17,0,30,32,0,1,17,0,13,32,2,16,0,34,16,0,0,0,67,17,17,32,1,13,0,21,0,63,21,0,30,34,0,1,21,32,1,10,0,131,27,16,7,34,0,1,0,6,33,1,24,50,0,14,0,68,17,32,1,25,32,1,10,34,0,4,27,16,7,32,2,27,32,2,25,34,0,1,17,0,9,32,1,44,0,14,0,63,17,17,7,32,1,5,0,33,0,52,32,0,1,27,0,54,32,1,5,0,33,32,0,2,19,27,16,33,1,5,49,6,32,1,6,0,33,0,52,34,0,2,27,0,54,32,1,6,0,33,34,0,1,17,27,16,33,1,6,49,7,32,1,23,0,33,32,0,1,17,0,2,0,52,0,8,27,32,1,114,17,0,6,33,1,115,50,0,14,0,68,17,32,1,29,0,50,0,31,27,0,33,34,0,1,21,32,1,10,0,155,27,16,7,32,1,141,0,33,0,52,32,0,1,27,0,13,0,52,0,27,27,20,0,51,0,10,27,32,1,142,17,0,8,16,32,1,126,0,30,0,52,32,1,130,27,0,53,0,21,27,20,0,33,34,0,1,21,32,1,10,0,162,27,16,7,32,0,1,0,27,16,0,0,34,0,2,19,0,49,0,6,26,16,0,6,34,0,1,17,7,0,36,0,14,0,18,0,50,0,13,27,21,0,42,0,30,26,0,19,21,0,0,34,0,2,21,0,42,0,33,26,32,3,8,21,0,21,0,105,21,0,21,34,0,1,21,0,21,0,124,21,7]
 ,[runtime[0],runtime[1],runtime[2],runtime[3],runtime[4],runtime[6],runtime[7],runtime[8],runtime[9],runtime[10],runtime[11],runtime[12],runtime[13],runtime[14],runtime[15],runtime[16],runtime[17],runtime[19],runtime[20],runtime[21],runtime[22],runtime[23],runtime[24],runtime[25],runtime[26],runtime[27],runtime[28],runtime[29],runtime[30],runtime[31],runtime[32],runtime[33],runtime[34],runtime[35],runtime[36],runtime[37],runtime[38],runtime[39],runtime[40],runtime[41],runtime[42],runtime[43],runtime[44],runtime[45],runtime[46],runtime[47],runtime[48],runtime[49],runtime[50],runtime[51],runtime[52],runtime[53],runtime[54],runtime[55],runtime[56],runtime[58],runtime[59],runtime[61],10,-1,11,26,9,0,1,5,8,4,2,3,-3,-2,6,17,Math.PI,Infinity,-4,-5,-6,32,64,48,43,66,24,16,7,'\0','0','#','\'','\"','@',str("⋄,"),str(":;"),str("⇐←↩"),str("(){}⟨⟩"),str("‿"),str("·"),str("𝕊𝕏𝕎𝔽𝔾𝕤𝕩𝕨𝕣𝕗𝕘"),str(".¯π∞"),str("_"),str("aA"),str("•"),str("𝕨"),str(" "),str("#\'\"@"),str("s"),str("Unknown character"),str(": "),str("˜⁼"),str("Unclosed quote"),str("Words can\'t only have underscores"),str("System dot with no name"),str("𝕣 can\'t be used with other word characters"),str("Numbers can\'t start with underscores"),str("Letter"),str(" \""),str("\" not allowed in numbers"),str("ea"),str("Negative sign in the middle of a number"),str("Portion of a number is empty"),str("Ill-formed decimal or exponent use"),str("π and ∞ must occur alone"),str("Missing "),str("opening"),str("closing"),str("Malformed bracket nesting"),str("Empty program"),str("Swapped open and closed brackets"),str("Parentheses can\'t contain separators"),str("Empty statement or expression"),str("Invalid assignment or stranding use"),str("Dot must be followed by a name"),str("Can\'t strand Nothing (·)"),str("Punctuation : and ; not allowed outside blocks"),str("Header-less bodies must come last"),str("At most two header-less bodies allowed"),str("Invalid Undo header syntax"),str("Only one header per body allowed"),str("Missing operand in header"),str("Invalid header structure"),str("Incorrect special name"),str("Header left argument without right"),str("Header operation must be a plain name"),str("Invalid special names for block header"),str("Special name outside of any block"),str("Only blocks with explicit arguments can have multiple bodies"),str("Block bodies must be of the same kind"),str("Dot must be preceded by a subject"),str("Nothing (·) cannot be assigned"),str("Missing operand"),str("Can\'t use Nothing (·) in lists"),str("Double subjects (missing ‿?)"),str("Role of the two sides in assignment must match"),str("Can\'t return Nothing (·)"),str("Invalid use of 𝕨 in monadic case"),str("Unreachable body"),str("Assignment target must be a name or list of targets"),str("Can\'t nest assignments (write aliases with ⇐)"),str("Can\'t use result of function/modifier assignment without parentheses"),str("Can\'t define special name"),str("Redefinition"),str("Undefined identifier"),str("Can\'t export from surrounding scope"),str("Second-level parts of a train must be functions"),str("System values not supported")]
 ,[[0,1,0],[0,0,1],[1,0,2],[1,1,3],[0,0,[[],[4]]],[0,0,[[],[5]]],[0,0,[[],[6]]],[0,0,[[],[7]]],[0,0,[[],[8]]],[0,0,[[],[9]]],[0,0,10],[0,0,11],[0,0,12],[0,0,13],[0,0,[[],[14]]],[0,0,[[],[15]]],[2,1,16],[0,0,17],[2,1,18],[0,0,19],[1,0,20],[0,0,21],[0,0,[[],[22]]],[0,0,23],[0,0,24],[0,0,25],[2,1,26]]
 ,[[0,0],[3,44],[598,5],[617,5],[736,57],[2942,23],[3767,199],[11738,19],[11981,3],[11989,3],[12029,3],[12046,3],[12085,3],[12102,3],[12119,3],[12145,3],[12181,3],[12212,6],[12344,3],[12411,3],[12461,5],[12487,3],[12509,3],[12567,3],[12620,3],[12682,3],[12707,3]]
);
let compgen = sys => {
  let gl = sys.glyphs, rt = sys.runtime;
  let comp = compgen_raw(list(gl));
  return sys.comps = sysargs => {
    let system = (x,w) => {
      let r = table(s=>sysvals[unstr(s)])(x);
      if (r.some(v=>!has(v))) {
        let m = x.filter((_,i)=>!has(r[i])).map(s=>"•"+unstr(s)).join(" ");
        throw Error("Unknown system values (see •listSys for available): "+m);
      }
      return table(v=>v.dynamic?v(sysargs):v)(r);
    }
    let rts = list([rt, system].concat(sysargs.addrt||[]));
    return src => {
      let s=str(src), c;
      try { c=comp(s,rts); } catch(e) { if (typeof e.message!=="string") e.message.src=s; throw e; }
      c.push(s); return c;
    }
  }
}
let sysargs = {runtime, glyphs:glyphs.map(str)};
let compile = compgen(sysargs)(sysargs);
let bqn = src => run(...compile(src));
runtime[42] = rtAssert;

// Formatter
let fmtnum = x => str(x==Infinity ? "∞" : x==-Infinity ? "¯∞"
                    : (""+x).replace(/-/g,"¯").replace(/\+/g,""));
let placeholder = ["array","function","1-modifier","2-modifier"].map(s => str("*"+s+"*"));
let repop = x => x.ns ? str("{"+listkeys(x).map(s=>s.join("")).join("‿")+"⇐}")
                      : gl[x.prim] || placeholder[type(x)-2];
let [fmt1,repr] = run(
  [1,1,7,34,0,1,33,0,3,33,0,4,33,0,5,33,0,6,12,4,48,6,0,67,0,15,0,18,0,18,21,0,40,0,68,27,11,2,0,43,0,10,0,40,0,58,27,27,32,0,6,11,2,0,43,0,58,0,41,0,8,27,27,33,0,7,48,6,1,2,33,0,8,48,6,0,11,0,8,0,50,21,0,45,1,3,27,33,0,9,48,6,1,4,33,0,10,48,6,1,5,33,0,11,48,6,1,6,1,7,11,2,0,43,1,8,0,49,11,2,0,43,0,10,0,41,0,10,0,40,0,49,27,0,39,0,7,27,27,27,27,33,0,12,48,6,0,77,0,19,0,76,17,1,9,1,10,11,2,0,43,0,10,0,11,0,46,21,0,7,0,11,0,10,0,50,21,21,27,11,2,0,43,0,14,0,14,0,46,0,46,11,2,21,27,33,0,13,48,6,1,11,33,0,14,48,6,1,12,33,0,15,48,6,1,13,1,14,1,15,11,3,0,43,0,30,0,58,26,0,8,0,17,21,0,38,0,35,0,0,26,0,12,0,0,0,8,0,40,0,46,27,21,0,10,21,27,27,33,0,16,48,6,32,0,7,0,19,20,34,0,16,32,0,15,11,2,0,43,0,34,32,0,3,26,0,12,0,55,21,0,17,0,38,0,35,0,7,26,27,20,27,32,0,15,11,3,0,43,0,13,0,3,0,50,21,27,33,0,17,48,6,1,16,33,0,18,48,6,0,85,33,0,19,48,6,0,16,0,38,0,28,27,32,0,5,20,32,0,19,11,2,0,43,0,50,0,41,0,11,27,27,32,0,18,32,0,17,0,38,34,0,19,0,27,11,2,0,43,0,10,0,11,0,49,21,27,27,27,0,28,0,49,21,0,19,20,33,0,20,48,6,0,16,0,16,34,0,17,20,34,0,20,11,2,0,43,0,15,0,12,0,55,21,27,32,0,3,21,33,0,21,48,6,1,17,33,0,22,48,6,0,69,0,16,0,15,0,18,0,16,0,26,0,11,0,0,0,49,21,21,21,0,18,0,15,21,0,66,21,0,33,32,0,7,0,18,0,78,21,26,0,18,20,0,21,0,49,21,0,33,32,0,22,0,18,0,86,21,26,0,18,20,0,23,0,71,21,0,18,0,70,21,11,3,0,43,0,34,32,0,3,26,0,31,0,27,26,0,50,0,17,0,56,17,0,24,0,50,0,49,0,46,11,3,17,21,0,35,0,4,26,20,27,11,2,0,43,0,10,0,8,0,46,21,27,33,0,23,48,6,0,28,0,38,32,0,22,27,0,18,0,87,21,32,0,23,0,17,34,0,23,0,39,0,18,0,40,0,88,0,41,0,18,27,27,27,0,14,21,11,3,0,43,0,11,0,3,0,50,21,27,33,0,24,48,6,34,0,7,34,0,24,11,2,0,43,32,0,3,0,11,0,46,21,27,33,0,25,48,6,0,30,0,46,26,0,29,0,89,21,34,0,18,34,0,22,27,0,28,0,49,21,33,0,26,48,6,0,16,0,16,34,0,25,20,34,0,26,11,2,0,43,0,15,0,12,0,55,21,27,32,0,3,21,33,0,27,48,6,32,0,21,0,38,0,32,0,57,0,0,0,58,17,0,41,0,18,27,26,27,0,17,20,0,21,0,47,21,32,0,27,11,2,7,0,49,0,33,0,20,26,34,0,1,0,1,16,17,0,25,0,42,0,37,0,31,0,34,0,2,26,26,26,27,16,0,35,0,47,0,48,11,2,0,44,0,0,27,26,34,0,2,19,0,17,16,0,28,0,40,0,47,27,0,42,0,46,27,16,7,32,0,1,0,14,16,0,21,0,47,17,33,0,3,48,0,4,0,49,17,32,1,8,16,33,0,4,48,6,1,18,33,0,5,48,6,32,0,1,0,17,34,0,1,0,14,16,0,20,0,47,17,0,18,34,0,3,0,35,0,2,26,16,17,17,0,20,0,40,0,35,0,0,26,27,34,0,5,11,2,0,43,0,16,0,38,0,10,27,0,8,0,46,21,27,34,0,4,17,7,32,0,1,0,17,16,0,33,0,30,0,59,26,0,17,0,14,0,28,0,47,21,0,41,0,19,27,21,0,18,0,16,21,26,34,0,1,0,14,16,32,1,8,0,49,17,17,0,18,16,7,0,59,0,17,32,0,1,0,10,16,34,0,2,11,2,17,33,0,3,48,6,32,0,3,34,0,1,34,0,3,11,3,0,19,16,0,18,16,7,0,71,0,18,34,0,1,0,27,16,0,21,0,49,17,0,21,0,47,17,17,0,18,0,70,17,0,19,16,7,32,0,1,0,14,16,0,28,0,47,17,33,0,3,48,6,0,72,32,0,2,0,16,0,3,0,49,21,0,31,0,27,26,0,73,21,0,17,20,32,1,6,11,2,0,43,0,8,0,40,0,51,27,27,18,11,2,0,18,16,0,20,32,0,3,17,0,19,16,34,0,1,0,28,0,42,0,74,0,28,0,49,0,1,34,0,2,19,0,3,0,52,17,0,4,0,46,17,17,27,16,0,75,0,20,0,40,0,1,27,34,0,3,17,0,19,16,11,3,0,18,16,7,34,0,1,0,27,16,0,34,0,11,26,0,69,17,0,36,0,1,26,16,0,37,0,0,26,16,0,11,0,50,17,0,35,0,7,26,16,7,34,0,1,0,33,0,59,26,16,32,1,11,0,49,17,32,1,12,0,50,17,0,28,0,40,0,46,0,47,11,2,27,0,42,0,60,27,16,7,34,0,1,0,14,16,0,69,0,33,32,1,6,26,0,33,0,18,0,40,0,78,27,26,20,0,18,20,0,28,0,42,0,61,27,20,11,2,0,43,0,10,0,8,0,49,21,27,16,0,19,16,7,32,0,1,0,33,0,14,26,16,33,0,3,48,6,32,0,3,0,33,0,28,26,0,49,17,0,17,0,30,0,49,26,0,1,0,11,21,0,45,0,36,0,4,26,27,11,2,0,43,0,11,0,8,0,46,21,27,16,33,0,4,48,6,34,0,3,0,33,0,28,26,16,0,11,0,8,0,46,21,0,45,0,49,0,44,0,36,0,4,26,27,27,16,33,0,5,48,6,34,0,1,0,33,0,20,26,0,49,0,20,32,0,4,0,10,16,0,2,32,0,2,19,0,1,16,17,0,6,34,0,4,17,0,2,34,0,2,19,0,34,0,19,26,32,0,5,17,17,0,11,0,1,0,50,21,0,4,0,46,21,0,45,0,19,27,16,0,50,0,44,0,18,0,38,0,8,27,27,16,33,0,6,48,6,34,0,6,32,1,10,0,9,0,38,32,1,9,27,11,2,0,43,34,0,5,0,17,16,0,13,0,40,0,25,0,40,0,49,27,27,16,27,16,32,1,11,0,50,17,7,32,0,1,0,33,32,1,21,26,16,32,1,14,0,49,0,15,34,0,2,19,17,32,1,12,34,0,1,0,11,16,17,7,32,0,1,0,11,16,33,0,3,48,6,0,79,0,16,0,42,32,0,1,27,16,0,21,0,46,17,33,0,1,49,6,32,0,1,0,14,16,0,21,0,47,17,33,0,4,48,0,10,16,0,1,16,0,11,0,40,0,46,27,0,45,0,48,27,16,33,0,5,48,6,32,0,3,0,8,0,46,17,0,31,0,28,26,0,80,17,33,0,6,48,6,1,19,33,0,7,48,6,32,0,1,0,26,0,40,0,16,0,11,32,0,6,21,0,0,0,49,21,27,34,0,7,11,2,0,43,32,0,3,0,10,0,49,17,27,16,33,0,1,49,6,32,0,6,0,20,0,40,0,1,27,32,0,4,17,32,0,5,0,44,0,18,27,34,0,1,17,34,0,5,0,44,0,18,27,0,64,0,20,32,0,4,0,18,0,49,17,0,28,0,47,17,17,0,17,34,0,4,17,0,28,0,42,34,0,6,27,16,17,0,19,16,32,0,3,0,10,0,49,17,0,45,32,1,9,32,1,11,0,49,21,32,1,12,34,0,3,21,27,16,7,34,0,1,32,1,15,32,1,13,11,2,0,43,0,14,0,11,0,46,21,0,35,0,7,26,20,27,16,7,34,0,1,32,1,15,0,47,17,7,0,16,0,16,34,0,4,20,0,8,0,39,0,19,27,0,46,21,34,0,0,11,2,0,43,0,15,0,12,0,55,21,27,32,1,3,21,33,0,6,48,6,32,0,1,32,1,4,16,33,0,7,48,0,28,16,33,0,8,48,6,0,65,0,1,0,81,17,0,28,32,0,8,17,33,0,9,48,6,0,83,0,41,0,18,27,0,18,0,82,21,33,0,10,48,6,0,16,0,33,34,0,6,0,41,0,28,0,40,0,49,27,0,15,0,12,32,0,9,0,3,0,50,17,21,0,45,0,16,0,38,34,0,10,27,27,0,28,0,41,0,0,27,21,27,26,0,10,0,38,0,22,27,0,11,0,46,21,0,1,20,0,49,0,9,32,0,9,17,0,45,0,25,27,20,21,0,18,20,33,0,11,48,6,32,0,7,0,21,0,49,17,0,30,34,0,1,26,32,1,5,0,38,0,17,27,20,0,16,34,0,5,34,0,2,23,34,0,11,11,3,0,43,34,0,8,0,5,16,0,3,0,50,17,27,16,33,0,12,48,6,32,0,12,32,0,9,0,12,0,50,17,0,45,0,30,34,0,7,26,0,28,0,47,21,32,1,3,20,0,9,0,55,21,0,45,0,84,0,41,0,18,27,27,27,16,33,0,12,49,6,34,0,9,34,0,12,11,2,7,34,0,1,32,1,27,16,7,34,0,1,0,18,0,40,0,27,0,38,0,33,0,59,26,27,27,16,0,27,34,0,2,0,0,0,49,19,0,18,0,46,19,0,26,18,0,2,0,40,0,8,0,40,0,24,27,27,18,19,7,0,54,0,0,0,58,17,0,8,32,0,1,17,0,2,0,58,0,1,0,63,17,17,0,0,0,53,0,0,0,58,17,0,16,0,1,0,62,21,0,2,0,11,21,32,0,1,17,17,0,0,34,0,1,17,7]
 ,[runtime[0],runtime[1],runtime[2],runtime[6],runtime[7],runtime[8],runtime[9],runtime[11],runtime[12],runtime[13],runtime[14],runtime[15],runtime[16],runtime[18],runtime[19],runtime[20],runtime[21],runtime[22],runtime[23],runtime[24],runtime[25],runtime[26],runtime[27],runtime[28],runtime[29],runtime[30],runtime[32],runtime[35],runtime[36],runtime[42],runtime[43],runtime[44],runtime[45],runtime[46],runtime[47],runtime[49],runtime[50],runtime[51],runtime[52],runtime[53],runtime[54],runtime[55],runtime[56],runtime[58],runtime[59],runtime[61],0,-1,Infinity,1,2,5,4,127,32,3,7,10,'\0',' ','┐','↕','␡','␀','·','0','\"',str("@"),str("\'"),str("⟨⟩"),str("⟨"),str("⟩"),str("┌"),str("·─"),str("·╵╎┆┊"),str("┘"),str("┌┐"),str("└┘"),str("‿"),str(""),str("\'\""),str("00321111"),str("("),str(")"),str("{𝔽}"),str("*array*"),str(","),str("<"),str("⥊"),str("Can\'t represent block")]
 ,[[0,1,0],[0,0,1],[0,0,2],[0,0,3],[0,0,4],[0,0,[[],[5]]],[0,0,6],[0,0,[[],[7]]],[0,0,8],[0,0,9],[0,0,10],[0,0,11],[0,0,12],[0,0,13],[0,0,14],[0,0,15],[2,0,16],[0,0,17],[0,0,18],[0,0,19]]
 ,[[0,0],[3,28],[745,3],[811,6],[911,3],[962,4],[1001,3],[1031,4],[1154,3],[1192,3],[1231,3],[1284,7],[1514,3],[1547,8],[1789,3],[1818,3],[1828,13],[2128,3],[2136,3],[2188,3]]
)(list([type, decompose, repop, fmtnum]));
let fmt = x => unstr(fmt1(x));

let fmtErr = e => {
  let r=e.kind, w=e.message, loc=[];
  while (w&&w.loc||(r!=='!'&&w.sh&&w.sh[0]===2)) {
    let s=w.src, is; [is,w]=w;
    let n=is.sh?is.sh[0]:0, i=n?is[0]:is;
    let pair=n&&is.sh.length>1; if (pair) n*=2;
    let to=i=>s.slice(0,i).join('').split('\n').map(l=>Array.from(l));
    let ll=to(i), l=ll.length-1, j=ll[l].length, m=to()[l];
    let k=1,o=i-j,cl=j; while (k<n&&(cl=is[k]-o)<m.length) k++;
    let ol=k<n; if (pair) { if (k%2) cl=m.length; else { k--; cl++; } }
    let c=Array(cl).fill(0); c[j]=1;
    for (let h=1;h<k;h++) c[is[h]-o+(pair?h%2:0)]=1;
    if (pair) for (let h=1;h<cl;h++) c[h]^=c[h-1];
    let add = ['',m.join(''),c.map(t=>t?'^':' ').join('')];
    loc = add.concat(ol?['(and other lines)']:[], loc);
  }
  if (r==='!') w=w?fmt(w).replace(/^/gm,'! '):'! Error';
  else w=w.sh?w.join(''):w;
  return [w].concat(loc).join('\n');
}

let dynsys = f => { f.dynamic=1; return f; }
let isstr = x => x.sh && x.sh.length==1 && x.every(c=>typeof c==="string");
let unixtime = (x,w) => Date.now()/1000;
let req1str = (e,x,w) => {
  if (!isstr(x)) throw Error(e+": 𝕩 must be a string");
  if (has(w)) throw Error(e+": 𝕨 not allowed");
  return unstr(x);
}
let dojs = (x,w) => {
  let s = req1str("•JS",x,w);
  let r = Function("'use strict'; return ("+s+")")();
  let toBQN = x => {
    if (isnum(x)) return x;
    if (typeof x==='string') { if (Array.from(x).length!==1) throw Error("•JS: JS strings are one character; use Array.from for BQN strings"); return x; }
    if (x instanceof Array) return arr(x.map(toBQN),x.sh||[x.length],toBQN(x.fill));
    if (isfunc(x)) { let f=(a,b)=>toBQN(x(a,b)); f.m=x.m; return f; }
    throw Error("•JS: Unrecognized JS result");
  }
  return toBQN(r);
}

let update_state = (st,w)=>w;  // Modified by Node version to handle •state
let push_state = st => st;
let copy_state = st_old => {
  let st={...st_old}; st.addrt=[]; push_state(st); return st;
}
let makebqn = (proc,fn) => st => (x,w) => {
  let src = proc(x,w,update_state,st);
  return fn(st.comps(st)(src));
}
let makebqnfn = (e,fn) => makebqn((x,w,u,s)=>req1str(e,x,u(s,w)), fn);
let dynsys_copy = fn => dynsys(st => fn(copy_state(st)));

let rebqn = dynsys_copy(state => (x,w) => {
  let req = (r,s) => { if (!r) throw Error("•ReBQN: "+s) };
  req(!has(w), "𝕨 not allowed");
  req(x.ns, "𝕩 must be a namespace");
  let rev = getrev(x.ns.names);
  let [repl,primitives] = ["repl","primitives"]
    .map(s=>(i=>has(i)?x[x.ns[i]]:i)(rev[s]));

  if (has(primitives)) { addprimitives(state, primitives); }
  let cmp = makebqnfn("•ReBQN evaluation", r=>r)(state);

  repl = has(repl) ? ["none","loose","strict"].indexOf(unstr(repl)) : 0;
  req(repl>=0, "invalid value for 𝕩.repl");
  return repl ? rerepl(repl,cmp,state) : ((x,w) => run(...cmp(x,w)));
});
let addprimitives = (state, p) => {
  let req = (r,s) => { if (!r) throw Error("•ReBQN 𝕩.primitives: "+s) };
  req(p.sh && p.sh.length===1, "Must be a list");
  req(p.every(e=>e.sh&&e.sh.length===1&&e.sh[0]===2), "Must consist of glyph-primitive pairs");
  let pr=glyphs.map(_=>[]), l=0, rt=pr.map(_=>[]);
  p.forEach(([gl,val])=>{
    req(typeof gl==="string", "Glyphs must be characters");
    req(isfunc(val), "Primitives must be operations");
    let k=val.m||0;
    pr[k].push(gl); rt[k].push(val);
  });
  state.glyphs = pr.map(str);
  state.runtime = list([].concat(...rt));
  compgen(state);
}
let rerepl = (repl, cmp, state) => {
  let rd = repl>1 ? 0 : -1;
  let vars = [], names = [], redef = [];
  state.addrt = [names,redef];
  return (x,w) => {
    names.sh=redef.sh=[names.length];
    let c = cmp(x,w);
    let pnames = c[5][2][0];
    let newv = c[3][0][2].slice(vars.length);
    names.push(...newv.map(i=>pnames[i]));
    redef.push(...newv.map(i=>rd));
    vars .push(...newv.map(i=>null));
    c.push(vars);
    return run(...c);
  }
}
let primitives = dynsys(state => {
  let gl=[].concat(...state.glyphs), rt=state.runtime;
  return list(gl.map((g,i) => list([g,rt[i]])));
});

let trig = "cos cosh sin sinh tan tanh".split(" ");
let mathns = obj2ns(Math,
  trig.concat(trig.map(n=>"a"+n),"LN10 LN2 LOG10E LOG2E cbrt expm1 hypot log10 log1p log2 round trunc atan2".split(" ")),
  f=>typeof f==="function"?runtime[60](f,0):f
);
trig.map((_,i)=>{let f=mathns[i],g=mathns[i+trig.length]; f.inverse=g; g.inverse=f;});

let rand = (() => {
  let reqnat = (e,x) => {
    if (!isnum(x) || x<0 || x!=Math.floor(x)) throw Error("•rand."+e+" must be a natural number");
  };
  let randnat = n => Math.floor(n*Math.random());
  let range = (x,w) => {
    reqnat("Range: 𝕩", x);
    let r = x ? (()=>randnat(x)) : Math.random;
    return has(w) ? list(Array(w).fill().map(r)) : r();
  };
  let iota = x => Array(x).fill().map((_,i)=>i);
  let deal_err = e => (x,w) => {
    reqnat(e+": 𝕩", x);
    if (!has(w)) w=x; else {
      reqnat(e+": 𝕨", w); if (w>x) throw Error("•rand."+e+": 𝕨 must be less than or equal to 𝕩");
    }
    let r = iota(x);
    for (let i=0; i<w; i++) {
      let j = i + randnat(x-i);
      let t=r[i]; r[i]=r[j]; r[j]=t;
    }
    r.length = w; return list(r);
  };
  let deal = deal_err("Deal");
  let subset = (x,w) => {
    reqnat("Subset: 𝕩", x);
    if (!has(w)) return list(iota(x).filter(_=>Math.random()<0.5));
    return deal_err("Subset")(x,w).sort();
  };
  return makens(["range", "deal", "subset"], [range, deal, subset]);
})();

let sysvals = {
  bqn:dynsys_copy(makebqnfn("•BQN",r=>run(...r))), rebqn, primitives,
  type, glyph, decompose, fmt:fmt1, repr, unixtime, listkeys,
  js:dojs, math:mathns, rand,
  listsys: dynsys(_ => list(Object.keys(sysvals).sort().map(str)))
};

let make_timed = tfn => {
  let timed = f => (x,w) => {
    let n=has(w)?w:1;
    if (!isnum(n) || n!==Math.floor(n) || n<1) throw Error("•_timed: 𝕨 must be an integer above 1");
    return tfn(() => { for (let i=0;i<n;i++) f(x); })/n;
  }
  timed.m=1;
  return timed;
}
if (typeof process!=='undefined') {
  let sec = t => t[0]+t[1]/1e9;
  sysvals.monotime = (x,w) => sec(process.hrtime());
  sysvals.timed = make_timed(f => {
    let t0=process.hrtime(); f(); return sec(process.hrtime(t0));
  });
} else if (typeof performance!=='undefined') {
  sysvals.monotime = (x,w) => performance.now()/1000;
  sysvals.timed = make_timed(f => {
    let t0=performance.now(); f(); return (performance.now()-t0)/1000;
  });
}

if (typeof module!=='undefined') {  // Node.js
  bqn.fmt=fmt; bqn.fmtErr=fmtErr; bqn.compile=compile; bqn.run=run;
  bqn.sysargs=sysargs; bqn.sysvals=sysvals;
  bqn.makebqn=fn=>makebqn(fn,r=>run(...r));
  bqn.makerepl=(st,repl)=>rerepl(repl, makebqn(x=>x,r=>r)(st), st);
  bqn.util={has,list,str,unstr,dynsys,req1str,makens};
  bqn.setexec = (u,p) => { update_state=u; push_state=p; }
  module.exports=bqn;
}