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Extractor.cpp
301 lines (251 loc) · 10.9 KB
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Extractor.cpp
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/*
* Extractor.cpp
*
* Created on: 7/Set/2009
* Author: Helder
*/
#include <stdexcept>
#include <NTL/ZZ.h>
#include <NTL/ZZX.h>
#include <NTL/ZZ_pE.h>
#include <NTL/ZZ_pEX.h>
#include <iostream>
#include <sstream>
#include "Extractor.h"
NTL_CLIENT
Extractor::Extractor() {
}
Extractor::Extractor(int _n, int _k, int _d, int _l, float _epsilon) {
n = _n;
k = _k;
d = _d;
l = _l;
epsilon = _epsilon;
// Polinomio irredutivel 2^32 (x^32 + x^15 + x^9 +x^7 + x^4 + x^3 + 1) ???
ZZ p;
p=2;
ZZ_p::init(p);
ZZ_p one;
one=1;
ZZ_pX a1(0,one),a2(3,one),a3(4,one), a4(7,one), a5(9,one), a6(15,one), a7(32,one);
ZZ_pX mod32;
mod32 = a1 + a2 + a3 + a4 + a5 + a6 + a7;
ZZ_pE::init(mod32);
// Polinomio irredutivel 2^32^32
string c[32];
ZZ_pE wp[32];
// (X^30 + X^28 + X^27 + X^26 + X^21 + X^20 + X^19 + X^18 + X^15 + X^14 + X^11 + X^4 + X^3 + X^2 + X) +
c[0] = "[0 1 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 0 0 1 0 0 0 0 0 0 1 1 1 1 0]";
// (X^30 + X^27 + X^26 + X^24 + X^22 + X^21 + X^20 + X^18 + X^17 + X^16 + X^13 + X^12 + X^11 + X^10 + X^7 + X^6 + X^3 + X^2)*Y +
c[1] = "[0 1 0 0 1 1 0 1 0 1 1 1 0 1 1 1 0 0 1 1 1 1 0 0 1 1 0 0 1 1 0 0]";
// (X^31 + X^30 + X^29 + X^28 + X^27 + X^25 + X^22 + X^18 + X^16 + X^14 + X^13 + X^11 + X^9 + X^7 + X^3 + X^2 + X + 1)*Y^2 +
c[2] = "[1 1 1 1 1 0 1 0 0 1 0 0 0 1 0 1 0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 1]";
// (X^31 + X^28 + X^22 + X^21 + X^19 + X^18 + X^15 + X^13 + X^10 + X^9 + X^8 + X^7 + X^5 + X^4 + X^2 + 1)*Y^3 +
c[3] = "[1 0 0 1 0 0 0 0 0 1 1 0 1 1 0 0 1 0 1 0 0 1 1 1 1 0 1 1 0 1 0 1]";
// (X^31 + X^30 + X^27 + X^26 + X^25 + X^24 + X^23 + X^21 + X^16 + X^12 + X^9 + X^8 + X^6 + X^3 + X^2)*Y^4 +
c[4] = "[1 1 0 0 1 1 1 1 1 0 1 0 0 0 0 1 0 0 0 1 0 0 1 1 0 1 0 0 1 1 0 0]";
// (X^31 + X^30 + X^29 + X^28 + X^27 + X^26 + X^24 + X^23 + X^22 + X^21 + X^20 + X^18 + X^15 + X^12 + X^9 + X^7 + X^6 + X^5 + X^4 + X^3)*Y^5 +
c[5] = "[1 1 1 1 1 1 0 1 1 1 1 1 0 1 0 0 1 0 0 1 0 0 1 0 1 1 1 1 1 0 0 0]";
// (X^31 + X^29 + X^25 + X^21 + X^20 + X^19 + X^17 + X^16 + X^14 + X^13 + X^11 + X^10 + X^9 + X^5 + X^4 + X^3 + X + 1)*Y^6 +
c[6] = "[1 0 1 0 0 0 1 0 0 0 1 1 1 0 1 1 0 1 1 0 1 1 1 0 0 0 1 1 1 0 1 1]";
// (X^31 + X^30 + X^29 + X^28 + X^24 + X^22 + X^19 + X^17 + X^16 + X^10 + X^8 + X^7 + X^6 + X^5 + X^3 + X^2)*Y^7 +
c[7] = "[1 1 1 1 0 0 0 1 0 1 0 0 1 0 1 1 0 0 0 0 0 1 0 1 1 1 1 0 1 1 0 0]";
// (X^31 + X^30 + X^29 + X^25 + X^21 + X^20 + X^18 + X^16 + X^14 + X^13 + X^12 + X^10 + X^9 + X^8 + X^7 + X^6 + X^3)*Y^8 +
c[8] = "[1 1 1 0 0 0 1 0 0 0 1 1 0 1 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 0 0 0]";
// (X^27 + X^26 + X^23 + X^18 + X^17 + X^16 + X^14 + X^13 + X^12 + X^10 + X^8 + X^7 + X^4 + X^3 + X^2)*Y^9 +
c[9] = "[0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 0 0]";
// (X^28 + X^25 + X^24 + X^23 + X^20 + X^19 + X^18 + X^17 + X^16 + X^14 + X^13 + X^12 + X^11 + X^10 + X^7 + X^4 + X^3 + X)*Y^10 +
c[10] = "[0 0 0 1 0 0 1 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 0 0 1 1 0 1 0]";
// (X^31 + X^29 + X^28 + X^27 + X^23 + X^22 + X^17 + X^16 + X^10 + X^9 + X^7 + X^5 + X^4 + X^3 + X^2)*Y^11 +
c[11] = "[1 0 1 1 1 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 1 1 0 1 0 1 1 1 1 0 0]";
// (X^30 + X^29 + X^23 + X^22 + X^21 + X^20 + X^18 + X^16 + X^14 + X^13 + X^12 + X^10 + X^9 + X^4)*Y^12 +
c[12] = "[0 1 1 0 0 0 0 0 1 1 1 1 0 1 0 1 0 1 1 1 0 1 1 0 0 0 0 1 0 0 0 0]";
// (X^29 + X^25 + X^22 + X^20 + X^17 + X^16 + X^15 + X^13 + X^9 + X^8 + X^7 + X^6 + X^5 + X^4 + X^2)*Y^13 +
c[13] = "[0 0 1 0 0 0 1 0 0 1 0 1 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 1 0 1 0 0]";
// (X^31 + X^29 + X^27 + X^26 + X^17 + X^16 + X^14 + X^13 + X^10 + X^7 + X^4 + X^3)*Y^14 +
c[14] = "[1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 1 1 0 0 0]";
// (X^31 + X^30 + X^26 + X^25 + X^24 + X^19 + X^17 + X^16 + X^15 + X^13 + X^12 + X^9 + X^8 + X^7 + X^6 + X^4 + X + 1)*Y^15 +
c[15] = "[1 1 0 0 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1 1 0 0 1 1 1 1 0 1 0 0 1 1]";
// (X^31 + X^30 + X^27 + X^26 + X^25 + X^24 + X^23 + X^20 + X^19 + X^18 + X^14 + X^12 + X^11 + X^9 + X^8 + X^6 + X^5 + X^3 + X^2)*Y^16 +
c[16] = "[1 1 0 0 1 1 1 1 1 0 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 1 0 0]";
// (X^31 + X^30 + X^29 + X^28 + X^25 + X^21 + X^20 + X^19 + X^18 + X^17 + X^15 + X^13 + X^12 + X^11 + X^9 + X^8 + X^7 + X^2)*Y^17 +
c[17] = "[1 1 1 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 1 1 1 0 1 1 1 0 0 0 0 1 0 0]";
// (X^31 + X^30 + X^24 + X^23 + X^19 + X^17 + X^15 + X^10 + X^8 + X^6 + X^3 + X^2)*Y^18 +
c[18] = "[1 1 0 0 0 0 0 1 1 0 0 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0]";
// (X^30 + X^29 + X^26 + X^25 + X^20 + X^19 + X^15 + X^14 + X^10 + X^9 + X^8 + X^6 + X^5 + X^3)*Y^19 +
c[19] = "[0 1 1 0 0 1 1 0 0 0 0 1 1 0 0 0 1 1 0 0 0 1 1 1 0 1 1 0 1 0 0 0]";
// (X^31 + X^30 + X^27 + X^25 + X^19 + X^17 + X^16 + X^14 + X^8 + X^6 + X^4 + X^3 + X^2 + 1)*Y^20 +
c[20] = "[1 1 0 0 1 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 1 0 1 0 1 1 1 0 1]";
// (X^31 + X^28 + X^27 + X^25 + X^24 + X^21 + X^17 + X^16 + X^14 + X^13 + X^10 + X^8 + X^6 + X^5 + X^2)*Y^21 +
c[21] = "[1 0 0 1 1 0 1 1 0 0 1 0 0 0 1 1 0 1 1 0 0 1 0 1 0 1 1 0 0 1 0 0]";
// (X^31 + X^28 + X^25 + X^24 + X^23 + X^21 + X^20 + X^18 + X^17 + X^16 + X^15 + X^14 + X^11 + X^10 + X^9 + X^7 + X^6 + X^5 + X^3 + 1)*Y^22 +
c[22] = "[1 0 0 1 0 0 1 1 1 0 1 1 0 1 1 1 1 1 0 0 1 1 1 0 1 1 1 0 1 0 0 1]";
// (X^31 + X^29 + X^27 + X^26 + X^24 + X^23 + X^22 + X^19 + X^18 + X^17 + X^15 + X^14 + X^13 + X^12 + X^11 + X^6 + X^5 + X^4)*Y^23 +
c[23] = "[1 0 1 0 1 1 0 1 1 1 0 0 1 1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0]";
// (X^31 + X^30 + X^29 + X^23 + X^21 + X^19 + X^17 + X^16 + X^13 + X^11 + X^10 + X^9 + X^8 + X^6 + X + 1)*Y^24 +
c[24] = "[1 1 1 0 0 0 0 0 1 0 1 0 1 0 1 1 0 0 1 0 1 1 1 1 0 1 0 0 0 0 1 1]";
// (X^31 + X^30 + X^29 + X^28 + X^27 + X^25 + X^20 + X^18 + X^17 + X^16 + X^15 + X^14 + X^9 + X^6 + X^3 + 1)*Y^25 +
c[25] = "[1 1 1 1 1 0 1 0 0 0 0 1 0 1 1 1 1 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1]";
// (X^30 + X^28 + X^25 + X^24 + X^23 + X^20 + X^18 + X^17 + X^16 + X^15 + X^12 + X^9 + X^7 + X^6 + X^5 + X^4)*Y^26 +
c[26] = "[0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 1 0 0 1 0 0 1 0 1 1 1 1 0 0 0 0]";
// (X^30 + X^29 + X^28 + X^27 + X^26 + X^25 + X^24 + X^21 + X^20 + X^19 + X^18 + X^12 + X^8 + X^7 + X^2 + X + 1)*Y^27 +
c[27] = "[0 1 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 1 1 1]";
// (X^31 + X^29 + X^26 + X^25 + X^23 + X^19 + X^18 + X^17 + X^15 + X^13 + X^9 + X^7 + X^4 + 1)*Y^28 +
c[28] = "[1 0 1 0 0 1 1 0 1 0 0 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 0 0 0 1]";
// (X^31 + X^25 + X^24 + X^23 + X^22 + X^20 + X^17 + X^16 + X^15 + X^14 + X^13 + X^12 + X^9 + X^8 + X^3 + X^2)*Y^29 +
c[29] = "[1 0 0 0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 1 1 0 0 1 1 0 0 0 0 1 1 0 0]";
// (X^31 + X^29 + X^28 + X^27 + X^24 + X^22 + X^21 + X^20 + X^16 + X^15 + X^13 + X^10 + X^7 + X^5 + X^4 + X^3 + X^2)*Y^30 +
c[30] = "[1 0 1 1 1 0 0 1 0 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 0 1 1 1 1 0 0]";
// (X^31 + X^26 + X^24 + X^22 + X^20 + X^15 + X^14 + X^12 + X^11 + X^9 + X^8 + X^5 + X^2 + X + 1)*Y^31 +
c[31] = "[1 0 0 0 0 1 0 1 0 1 0 1 0 0 0 0 1 1 0 1 1 0 1 1 0 0 1 0 0 1 1 1]";
stringstream caix0(c[0]);
stringstream caix1(c[1]);
stringstream caix2(c[2]);
stringstream caix3(c[3]);
stringstream caix4(c[4]);
stringstream caix5(c[5]);
stringstream caix6(c[6]);
stringstream caix7(c[7]);
stringstream caix8(c[8]);
stringstream caix9(c[9]);
stringstream caix10(c[10]);
stringstream caix11(c[11]);
stringstream caix12(c[12]);
stringstream caix13(c[13]);
stringstream caix14(c[14]);
stringstream caix15(c[15]);
stringstream caix16(c[16]);
stringstream caix17(c[17]);
stringstream caix18(c[18]);
stringstream caix19(c[19]);
stringstream caix20(c[20]);
stringstream caix21(c[21]);
stringstream caix22(c[22]);
stringstream caix23(c[23]);
stringstream caix24(c[24]);
stringstream caix25(c[25]);
stringstream caix26(c[26]);
stringstream caix27(c[27]);
stringstream caix28(c[28]);
stringstream caix29(c[29]);
stringstream caix30(c[30]);
stringstream caix31(c[31]);
caix0 >> wp[0];
caix1 >> wp[1];
caix2 >> wp[2];
caix3 >> wp[3];
caix4 >> wp[4];
caix5 >> wp[5];
caix6 >> wp[6];
caix7 >> wp[7];
caix8 >> wp[8];
caix9 >> wp[9];
caix10 >> wp[10];
caix11 >> wp[11];
caix12 >> wp[12];
caix13 >> wp[13];
caix14 >> wp[14];
caix15 >> wp[15];
caix16 >> wp[16];
caix17 >> wp[17];
caix18 >> wp[18];
caix19 >> wp[19];
caix20 >> wp[20];
caix21 >> wp[21];
caix22 >> wp[22];
caix23 >> wp[23];
caix24 >> wp[24];
caix25 >> wp[25];
caix26 >> wp[26];
caix27 >> wp[27];
caix28 >> wp[28];
caix29 >> wp[29];
caix30 >> wp[30];
caix31 >> wp[31];
ZZ_pEX auxi(32,one);
for(int i=0; i<32; i++){
ZZ_pEX aux(i,wp[i]);
mod3232 += aux;
}
}
Extractor::~Extractor() {
}
void Extractor::PolyFromBstr(ZZ_pE &x, bitstring w, int q32){
ZZX temp;
ZZ one;
one = 1;
for(int i=0; i<32;i++){
if(w.get(i + q32)){
ZZX t(i,one);
temp += t;
}
}
string box;
stringstream pipe(box);
pipe << temp;
pipe >> x;
}
bitstring Extractor::extract(bitstring w, bitstring x) {
// cout <<"Extractor :: w.size = "<< w.size() <<" n size"<< n<<endl;
// cout <<"Extractor :: x.size = "<< x.size() <<" d size"<< d<<endl;
/*if (w.size() < (size_t)n) {
throw invalid_argument("W has wrong size");
}*/
/*if (x.size() != (size_t)d) {
//cout << "(extractor.cpp:215) TO_REMOVE:X has wrong size (Extractor) x="<< x.size() << "d="<< (size_t)d <<"\n" ;
throw invalid_argument("X has wrong size (Extractor) ");
}*/
// X to poly
ZZ_pE xpoly;
PolyFromBstr(xpoly,x,0);
// W
ZZ_pEX wpoly;
ZZ_pE wpp[32];
for(int i=0;i<32;i++){
PolyFromBstr(wpp[i],w,32*i);
ZZ_pEX temp(i,wpp[i]);
wpoly += temp;
}
// geracao dos 4 f
ZZ_pEX lixo;
ZZ_pEX f1, f2, f4, f8;
f1 = wpoly;
DivRem(lixo, f1, f1, mod3232);
f2 = f1 * f1;
DivRem(lixo, f2, f2, mod3232);
f4 = f2 * f2;
DivRem(lixo, f4, f4, mod3232);
f8 = f4 * f4;
DivRem(lixo, f8, f8, mod3232);
// f(y)
ZZ_pE res0,res1,res2,res3;
res0 = coeff(f1,0);
res1 = coeff(f2,0);
res2 = coeff(f4,0);
res3 = coeff(f8,0);
ZZ_pE aux = xpoly;
for(int i=1; i<32; i++){
res0 += aux * coeff(f1,i);
res1 += aux * coeff(f2,i);
res2 += aux * coeff(f4,i);
res3 += aux * coeff(f8,i);
aux *= xpoly;
}
//cout << "RES: " << res0 << "(res0) " << res1 << "(res1) " << res2 << "(res2) " << res2 << "(res2) " << "\n";
bitstring result(128);
ZZ_p one;
one=1;
for(int i = 0; i<32; i++){
if(coeff(rep(res0),i) == one) result.set(i);
if(coeff(rep(res1),i) == one) result.set(i+32);
if(coeff(rep(res2),i) == one) result.set(i+64);
if(coeff(rep(res3),i) == one) result.set(i+96);
}
/*cout << "Result: ";
result.print();
cout << "\n";*/
// retornar algo de tamanho 32, porque senao da erro de tamanho errado na entrada do extractor.. provavelmente devido a realimentacao
//bitstring bla = x;
//cout <<"bitstring output result = "<< result.to_string()<< endl;
return result;
}