#include #include #include #include #include #include #include #include #include "FINAL.h" using namespace std; using namespace NTL; void test_params() { { Param param(LWE); cout << "Ciphertext modulus of the base scheme (LWE): " << param.q_base << endl; cout << "Dimension of the base scheme (LWE): " << param.n << endl; cout << "Ciphertext modulus for bootstrapping (LWE): " << q_boot << endl; cout << "Polynomial modulus (LWE): " << Param::get_def_poly() << endl; assert(param.l_ksk == int(ceil(log(double(param.q_base))/log(double(Param::B_ksk))))); cout << "Decomposition length for key-switching (LWE): " << param.l_ksk << endl; cout << "Decomposition bases for key-switching (LWE): " << Param::B_ksk << endl; cout << "Dimension for bootstrapping (LWE): " << Param::N << endl; cout << "Decomposition bases for bootstrapping (LWE): "; for (const auto &v: param.B_bsk) cout << v << ' '; cout << endl; cout << "Delta (LWE): " << param.delta_base << endl; cout << "Half Delta (LWE): " << param.half_delta_base << endl; } { Param param(NTRU); cout << "Ciphertext modulus of the base scheme (MNTRU): " << param.q_base << endl; cout << "Dimension of the base scheme (NTRU): " << param.n << endl; cout << "Ciphertext modulus for bootstrapping (NTRU): " << q_boot << endl; cout << "Polynomial modulus (NTRU): " << Param::get_def_poly() << endl; assert(param.l_ksk == int(ceil(log(double(param.q_base))/log(double(Param::B_ksk))))); cout << "Decomposition length for key-switching (MNTRU): " << param.l_ksk << endl; cout << "Decomposition bases for key-switching (MNTRU): " << Param::B_ksk << endl; cout << "Dimension for bootstrapping (MNTRU): " << Param::N << endl; cout << "Decomposition bases for bootstrapping (MNTRU): "; for (const auto &v: param.B_bsk) cout << v << ' '; cout << endl; cout << "Decomposition lengths for bootstrapping (MNTRU): "; for (int i = 0; i < Param::B_bsk_size; i++) { assert(param.l_bsk[i] == int(ceil(log(double(q_boot))/log(double(param.B_bsk[i]))))); cout << param.l_bsk[i] << ' '; } cout << endl; cout << "Decomposition lengths for bootstrapping (MNTRU): "; for (int i = 0; i < Param::B_bsk_size; i++) { assert(param.l_bsk[i] == int(ceil(log(double(q_boot))/log(double(param.B_bsk[i]))))); cout << param.l_bsk[i] << ' '; } cout << endl; cout << "Delta (MNTRU): " << param.delta_base << endl; cout << "Half Delta (MNTRU): " << param.half_delta_base << endl; { assert(0L == mod_q_boot(0L)); assert(1L == mod_q_boot(1L)); assert(0L == mod_q_boot(q_boot)); assert(half_q_boot == mod_q_boot(half_q_boot)); assert(-half_q_boot == mod_q_boot(-half_q_boot)); cout << "MODULO REDUCTION IS OK" << endl; } } cout << "Plaintext modulus: " << Param::t << endl; cout << endl; cout << "PARAMS ARE OK" << endl; { vector res; decompose(res, 0, 2, 3); assert(res.size() == 3); for (auto iter=res.begin(); iter < res.end(); iter++) assert(0L == *iter); } { vector res; decompose(res, 1, 2, 3); assert(res.size() == 3); assert(res[0] == 1); for (auto iter=res.begin()+1; iter < res.end(); iter++) assert(0L == *iter); } { vector res; decompose(res, 2, 3, 3); assert(res.size() == 3); assert(res[0] == -1 && res[1] == 1 && res[2] == 0); } { vector res; decompose(res, 2, 4, 3); assert(res.size() == 3); assert(res[0] == 2 && res[1] == 0 && res[2] == 0); decompose(res, 3, 4, 3); assert(res.size() == 3); assert(res[0] == -1 && res[1] == 1 && res[2] == 0); } { vector res; try { decompose(res, 14, 3, 3); assert(false); } catch (overflow_error) { assert(true); } } { vector res; try { decompose(res, -14, 3, 3); assert(false); } catch (overflow_error) { assert(true); } } { vector res; decompose(res, 13, 3, 3); assert(res.size() == 3); assert(res[0] == 1 && res[1] == 1 && res[2] == 1); decompose(res, -13, 3, 3); assert(res.size() == 3); assert(res[0] == -1 && res[1] == -1 && res[2] == -1); } cout << "DECOMPOSITION IS OK" << endl; } void test_sampler() { int N = Param::N; Param pLWE(LWE); Param pNTRU(NTRU); for (int run = 0; run < 1; run++) { //cout << "Run: " << run+1 << endl; { vector vec(pNTRU.n, 0L); Sampler::get_ternary_vector(vec); assert(vec.size() == pNTRU.n); for (int i = 0; i < pNTRU.n; i++) { assert((vec[i]==0) || (vec[i]==-1) || (vec[i]==1) ); } } { vector vec(N,0L); Sampler::get_ternary_vector(vec); assert(vec.size() == N); for (int i = 0; i < N; i++) { assert((vec[i]==0) || (vec[i]==-1) || (vec[i]==1) ); } } { vector vec(N,0L); Sampler::get_binary_vector(vec); assert(vec.size() == N); for (int i = 0; i < N; i++) { assert((vec[i]==0) || (vec[i]==1) ); } } { int n = pLWE.n; vector> mat(n, vector(N,0L)); Sampler::get_ternary_matrix(mat); assert(mat.size() == n && mat[0].size() == N); for (int i = 0; i < n; i++) { vector& row = mat[i]; for (int j = 0; j < N; j++) assert((row[j]==0) || (row[j]==-1) || (row[j]==1) ); } } { int n = pLWE.n; vector vec(n, 0L); double st_dev = 4.0; Sampler::get_gaussian_vector(vec, st_dev); assert(vec.size() == n); for (int i = 0; i < n; i++) { assert(conv(abs(vec[i])) < 6*st_dev); } } { int n = pNTRU.n; vector> mat(n, vector(N,0L)); double st_dev = 4.0; Sampler::get_gaussian_matrix(mat, st_dev); assert(mat.size() == n && mat[0].size() == N); for (int i = 0; i < n; i++) { vector& row = mat[i]; for (int j = 0; j < N; j++) assert(conv(abs(row[j])) < 6*st_dev); } } { vector vec_inv(N,0L); vector vec(N,0L); Sampler s(pNTRU); s.get_invertible_vector(vec, vec_inv, 4, 1); assert(vec.size() == N && vec_inv.size() == N); assert((vec[0]==1) || (vec[0]==-3) || (vec[0]==5) ); for (int i = 1; i < N; i++) { assert((vec[i]==0) || (vec[i]==-4) || (vec[i]==4)); } } { int n = pLWE.n; vector> mat_inv(n, vector(n,0L)); vector> mat(n, vector(n,0L)); Sampler s(pLWE); s.get_invertible_matrix(mat, mat_inv, 5, 1); assert(mat.size() == n && mat[0].size() == n && mat_inv.size() == n && mat_inv[0].size() == n); for (int i = 0; i < n; i++) assert((mat[i][i]==1) || (mat[i][i]==-4) || (mat[i][i]==6) ); for (int i = 0; i < n; i++) for (int j = 0; (j < n) && (j != i); j++) { assert((mat[i][j]==0) || (mat[i][j]==-5) || (mat[i][j]==5) ); } } } cout << "SAMPLER IS OK" << endl; } enum GateType {NAND, AND, OR, XOR, NOT}; void test_ntruhe_gate_helper(int in1, int in2, const SchemeNTRU& s, GateType g) { float avg_time = 0.0; int N_TESTS = (g == NOT ? 30 : 100); for (int i = 0; i < N_TESTS; i++) { Ctxt_NTRU ct_res, ct1, ct2; s.encrypt(ct1, in1); s.encrypt(ct2, in2); if (g == NAND) { auto start = clock(); s.nand_gate(ct_res, ct1, ct2); avg_time += float(clock()-start)/CLOCKS_PER_SEC; int output = s.decrypt(ct_res); //cout << "NAND output: " << output << endl; assert(output == !(in1 & in2)); } else if (g == AND) { auto start = clock(); s.and_gate(ct_res, ct1, ct2); avg_time += float(clock()-start)/CLOCKS_PER_SEC; int output = s.decrypt(ct_res); //cout << "AND output: " << output << endl; assert(output == (in1 & in2)); } else if (g == OR) { auto start = clock(); s.or_gate(ct_res, ct1, ct2); avg_time += float(clock()-start)/CLOCKS_PER_SEC; int output = s.decrypt(ct_res); //cout << "OR output: " << output << endl; assert(output == (in1 | in2)); } else if (g == XOR) { auto start = clock(); s.xor_gate(ct_res, ct1, ct2); avg_time += float(clock()-start)/CLOCKS_PER_SEC; int output = s.decrypt(ct_res); //cout << "XOR output: " << output << endl; assert(output == (in1 ^ in2)); } else if (g == NOT) { auto start = clock(); s.not_gate(ct_res, ct1); avg_time += float(clock()-start)/CLOCKS_PER_SEC; int output = s.decrypt(ct_res); // cout << ".... NOT output: " << output << endl; assert(output == (1 - in1)); } } cout << "Avg. time: " << avg_time/N_TESTS << endl; } void test_ntru_gate(SchemeNTRU& s, GateType g) { test_ntruhe_gate_helper(0, 0, s, g); test_ntruhe_gate_helper(0, 1, s, g); test_ntruhe_gate_helper(1, 0, s, g); test_ntruhe_gate_helper(1, 1, s, g); } void test_ntruhe_nand(SchemeNTRU& s) { GateType g = NAND; test_ntru_gate(s, g); cout << "NAND IS OK" << endl; } void test_ntruhe_and(SchemeNTRU& s) { GateType g = AND; test_ntru_gate(s, g); cout << "AND IS OK" << endl; } void test_ntruhe_or(SchemeNTRU& s) { GateType g = OR; test_ntru_gate(s, g); cout << "OR IS OK" << endl; } void test_ntruhe_xor(SchemeNTRU& s) { GateType g = XOR; test_ntru_gate(s, g); cout << "XOR IS OK" << endl; } void test_ntruhe_not(SchemeNTRU& s) { GateType g = NOT; for(int i = 0; i < 5; i++){ int bit = binary_sampler(rand_engine); test_ntruhe_gate_helper(bit, 0, s, g); } cout << "NOT GATE IS OK" << endl; } void test_ntruhe_gate_composition_helper(SchemeNTRU& s, GateType g) { float avg_time = 0.0; int N_TESTS = 100; int in1, in2, exp_out; in1 = binary_sampler(rand_engine); exp_out = in1; Ctxt_NTRU ct_res, ct; s.encrypt(ct_res, in1); for (int i = 0; i < N_TESTS; i++) { in2 = binary_sampler(rand_engine); s.encrypt(ct, in2); if (g == NAND) { auto start = clock(); s.nand_gate(ct_res, ct_res, ct);// ct_res should encrypt NAND(exp_out, in2) avg_time += float(clock()-start)/CLOCKS_PER_SEC; exp_out = !(exp_out & in2); // exp_out = NAND(exp_out, in2) } else if (g == AND) { auto start = clock(); s.and_gate(ct_res, ct_res, ct); avg_time += float(clock()-start)/CLOCKS_PER_SEC; exp_out = (exp_out & in2); // exp_out = AND(exp_out, in2) } else if (g == OR) { auto start = clock(); s.or_gate(ct_res, ct_res, ct); avg_time += float(clock()-start)/CLOCKS_PER_SEC; exp_out = (exp_out | in2); // exp_out = OR(exp_out, in2) } else if (g == XOR) { auto start = clock(); s.xor_gate(ct_res, ct_res, ct); avg_time += float(clock()-start)/CLOCKS_PER_SEC; exp_out = (exp_out ^ in2); // exp_out = XOR(exp_out, in2) } else if (g == NOT) { auto start = clock(); s.not_gate(ct_res, ct_res); avg_time += float(clock()-start)/CLOCKS_PER_SEC; exp_out = (1 - exp_out); // exp_out = NOT(exp_out) } int output = s.decrypt(ct_res); assert(output == exp_out); } cout << "Avg. time: " << avg_time/N_TESTS << endl; } void test_ntruhe_composition_of_gates(SchemeNTRU& s) { test_ntruhe_gate_composition_helper(s, NAND); cout << "COMPOSING NAND IS OK" << endl; test_ntruhe_gate_composition_helper(s, AND); cout << "COMPOSING AND IS OK" << endl; test_ntruhe_gate_composition_helper(s, OR); cout << "COMPOSING OR IS OK" << endl; test_ntruhe_gate_composition_helper(s, XOR); cout << "COMPOSING XOR IS OK" << endl; test_ntruhe_gate_composition_helper(s, NOT); cout << "COMPOSING NOT GATE IS OK" << endl; } // ----- LWE tests void test_lwehe_gate_helper(int in1, int in2, SchemeLWE& s, GateType g) { float avg_time = 0.0; for (int i = 0; i < 100; i++) { Ctxt_LWE ct_res, ct1, ct2; s.encrypt(ct1, in1); s.encrypt(ct2, in2); if (g == NAND) { auto start = clock(); s.nand_gate(ct_res, ct1, ct2); avg_time += float(clock()-start)/CLOCKS_PER_SEC; int output = s.decrypt(ct_res); //cout << "NAND output: " << output << endl; assert(output == !(in1 & in2)); } else if (g == AND) { auto start = clock(); s.and_gate(ct_res, ct1, ct2); avg_time += float(clock()-start)/CLOCKS_PER_SEC; int output = s.decrypt(ct_res); //cout << "AND output: " << output << endl; assert(output == (in1 & in2)); } else if (g == OR) { auto start = clock(); s.or_gate(ct_res, ct1, ct2); avg_time += float(clock()-start)/CLOCKS_PER_SEC; int output = s.decrypt(ct_res); //cout << "OR output: " << output << endl; assert(output == (in1 | in2)); } else if (g == XOR) { auto start = clock(); s.xor_gate(ct_res, ct1, ct2); avg_time += float(clock()-start)/CLOCKS_PER_SEC; int output = s.decrypt(ct_res); //cout << "OR output: " << output << endl; assert(output == (in1 ^ in2)); } else if (g == NOT) { auto start = clock(); s.not_gate(ct_res, ct1); avg_time += float(clock()-start)/CLOCKS_PER_SEC; int output = s.decrypt(ct_res); // cout << "NOT output: " << output << endl; assert(output == (1 - in1)); } } cout << "Avg. time: " << avg_time/100.0 << endl; } void test_lwe_gate(SchemeLWE& s, GateType g) { test_lwehe_gate_helper(0, 0, s, g); test_lwehe_gate_helper(0, 1, s, g); test_lwehe_gate_helper(1, 0, s, g); test_lwehe_gate_helper(1, 1, s, g); } void test_lwehe_nand(SchemeLWE& s) { GateType g = NAND; test_lwe_gate(s, g); cout << "NAND IS OK" << endl; } void test_lwehe_and(SchemeLWE& s) { GateType g = AND; test_lwe_gate(s, g); cout << "AND IS OK" << endl; } void test_lwehe_or(SchemeLWE& s) { GateType g = OR; test_lwe_gate(s, g); cout << "OR IS OK" << endl; } void test_lwehe_xor(SchemeLWE& s) { GateType g = XOR; test_lwe_gate(s, g); cout << "XOR IS OK" << endl; } void test_lwehe_not(SchemeLWE& s) { GateType g = NOT; for(int i = 0; i < 4; i++){ int bit = binary_sampler(rand_engine); test_lwehe_gate_helper(bit, 0, s, g); } cout << "NOT GATE IS OK" << endl; } void test_lwehe_gate_composition_helper(SchemeLWE& s, GateType g) { float avg_time = 0.0; int N_TESTS = 110; int in1, in2, exp_out; in1 = binary_sampler(rand_engine); exp_out = in1; Ctxt_LWE ct_res, ct; s.encrypt(ct_res, in1); for (int i = 0; i < N_TESTS; i++) { in2 = binary_sampler(rand_engine); s.encrypt(ct, in2); if (g == NAND) { auto start = clock(); s.nand_gate(ct_res, ct_res, ct);// ct_res should encrypt NAND(exp_out, in2) avg_time += float(clock()-start)/CLOCKS_PER_SEC; exp_out = !(exp_out & in2); // exp_out = NAND(exp_out, in2) //cout << "NAND output: " << output << endl; } else if (g == AND) { auto start = clock(); s.and_gate(ct_res, ct_res, ct); avg_time += float(clock()-start)/CLOCKS_PER_SEC; exp_out = (exp_out & in2); // exp_out = AND(exp_out, in2) //cout << "AND output: " << output << endl; } else if (g == OR) { auto start = clock(); s.or_gate(ct_res, ct_res, ct); avg_time += float(clock()-start)/CLOCKS_PER_SEC; exp_out = (exp_out | in2); // exp_out = OR(exp_out, in2) //cout << "OR output: " << output << endl; } else if (g == XOR) { auto start = clock(); s.xor_gate(ct_res, ct_res, ct); avg_time += float(clock()-start)/CLOCKS_PER_SEC; exp_out = (exp_out ^ in2); // exp_out = XOR(exp_out, in2) //cout << "XOR output: " << output << endl; } else if (g == NOT) { auto start = clock(); s.not_gate(ct_res, ct_res); avg_time += float(clock()-start)/CLOCKS_PER_SEC; exp_out = (1 - exp_out); // exp_out = NOT(exp_out) } int output = s.decrypt(ct_res); assert(output == exp_out); } cout << "Avg. time: " << avg_time/N_TESTS << endl; } void test_lwehe_composition_of_gates(SchemeLWE& s) { test_lwehe_gate_composition_helper(s, NAND); cout << "COMPOSING NAND IS OK" << endl; test_lwehe_gate_composition_helper(s, AND); cout << "COMPOSING AND IS OK" << endl; test_lwehe_gate_composition_helper(s, OR); cout << "COMPOSING OR IS OK" << endl; test_lwehe_gate_composition_helper(s, XOR); cout << "COMPOSING XOR IS OK" << endl; test_lwehe_gate_composition_helper(s, NOT); cout << "COMPOSING NOT GATE IS OK" << endl; } int main() { test_params(); test_sampler(); cout << endl; cout << "-------------------------" << endl; cout << "NTRU tests" << endl; SchemeNTRU s_ntru; test_ntruhe_nand(s_ntru); test_ntruhe_and(s_ntru); test_ntruhe_or(s_ntru); test_ntruhe_xor(s_ntru); test_ntruhe_not(s_ntru); test_ntruhe_composition_of_gates(s_ntru); cout << "NTRU tests PASSED" << endl; cout << endl; cout << "-------------------------" << endl; cout << "LWE tests" << endl; SchemeLWE s_lwe; test_lwehe_not(s_lwe); test_lwehe_nand(s_lwe); test_lwehe_and(s_lwe); test_lwehe_or(s_lwe); test_lwehe_xor(s_lwe); test_lwehe_not(s_lwe); test_lwehe_composition_of_gates(s_lwe); cout << "LWE tests PASSED" << endl; return 0; }