ShareLock/lagrangetrial.circom at main · route-2/ShareLock · GitHub

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pragma circom 2.0.4;
template floor(v){
  signal input v1;
    var t;

    signal output outf;
    if(v<0){

       t=v +(-1);
       outf <== t;
    }
    else outf <== v;
}


template divmod(a, b, n) {
  signal input a;
  signal input b;
  signal input n;

  signal output result;

  var t = 0;
  var nt = 1;

  var nr = b % n;
  var tmp;
  component floo = floor();
  while (nr != 0) {
    floo.in <== n/nr;
    var quot = floo.out
    tmp = nt;  nt = t - quot * nt;   t = tmp;
    tmp = nr;  nr = n-quote *nr;  n = tmp;
  };
  if (n >1) n == 0;
  if (t < 0) t = t + n;
  result <== a * t % n;
}

template findSqrt(in){
   signal output out;
   for(var i=1;i<in;i++){
      if(i**2 == in){
         out<==i;
      }
   }
}

template lagrangeBasis(data,i){

    signal input data1[4][2];

    signal output outa;
    signal output outb;

    var numerator =1 ;
    var denominator = 1;
    var flag = 0;


    for(var j=0;j<4;j++)

    {
           if (data[i][0]!=data[j][0])


      {
         denominator = denominator * (data[j][0] - (data[i][0]));


      }
    }

    for(var j=0;j<4;j++)
    {
       for(var k = 0;k<2;k++)
       {

        if (data[i][0]!=data[j][0])
        {

        numerator = numerator * data[j][0];

      }

       }

    }


    component numroot = findSqrt(numerator);

    outa<==numroot.out;
outb<==denominator;

}

template lagrangeInterpolate(data, p) {
    signal input data1[4][2];
    signal output result;


  var S = 0;

  for (var i = 0; i < 4; i++) {
      for(var j = 0;j<2;j++)
      {


    component basis = lagrangeBasis(data, i);
    component div = divmod(basis.outa, basis.outb,p);


    S = S + (data[i][1] * div);
      }
  }

   result <== S % p;


}
component main =lagrangeInterpolate([[0,1],[8,1],[1,4]], 112359660044372065484441951235030142983174398544812028832278623854666456186464981281697823747040681172063136960475741636194003267249065962847191134043977177417262658624760480296093854759559904100526625869529764632821631287622711509362461779393924996752542576696954857358708468038138799222651682182506375684408191658782769227044407810487694714277015787299453844741695021375314262764838976834848162882076763228291748292125837874583406862057369579625510012569201655610174114134029263009534578486068411031171352786822259404497621186788791903968435376767381008114860543432128110240912783033139679857313654570551752499974641212302584907725849855077192434062738240039467221776332833741216012069582907330324256506744580051771386054065087);


/* INPUT = {
    "data1":[["0","1"],["8","1"],["1","4"]]
} */