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matrix_ops.cpp
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#include <iostream>
#include <iomanip>
#include <fstream>
#include "seal/seal.h"
using namespace std;
using namespace seal;
// Helper function that prints a matrix (vector of vectors)
template <typename T>
inline void print_full_matrix(vector<vector<T>> matrix, int precision = 3)
{
// save formatting for cout
ios old_fmt(nullptr);
old_fmt.copyfmt(cout);
cout << fixed << setprecision(precision);
int row_size = matrix.size();
int col_size = matrix[0].size();
for (unsigned int i = 0; i < row_size; i++)
{
cout << "[";
for (unsigned int j = 0; j < col_size - 1; j++)
{
cout << matrix[i][j] << ", ";
}
cout << matrix[i][col_size - 1];
cout << "]" << endl;
}
cout << endl;
// restore old cout formatting
cout.copyfmt(old_fmt);
}
// Helper function that prints parts of a matrix (only squared matrix)
template <typename T>
inline void print_partial_matrix(vector<vector<T>> matrix, int print_size = 3, int precision = 3)
{
// save formatting for cout
ios old_fmt(nullptr);
old_fmt.copyfmt(cout);
cout << fixed << setprecision(precision);
int row_size = matrix.size();
int col_size = matrix[0].size();
// Boundary check
if (row_size < 2 * print_size && col_size < 2 * print_size)
{
cerr << "Cannot print matrix with these dimensions: " << to_string(row_size) << "x" << to_string(col_size) << ". Increase the print size" << endl;
return;
}
// print first 4 elements
for (unsigned int row = 0; row < print_size; row++)
{
cout << "\t[";
for (unsigned int col = 0; col < print_size; col++)
{
cout << matrix[row][col] << ", ";
}
cout << "..., ";
for (unsigned int col = col_size - print_size; col < col_size - 1; col++)
{
cout << matrix[row][col] << ", ";
}
cout << matrix[row][col_size - 1];
cout << "]" << endl;
}
cout << "\t..." << endl;
for (unsigned int row = row_size - print_size; row < row_size; row++)
{
cout << "\t[";
for (unsigned int col = 0; col < print_size; col++)
{
cout << matrix[row][col] << ", ";
}
cout << "..., ";
for (unsigned int col = col_size - print_size; col < col_size - 1; col++)
{
cout << matrix[row][col] << ", ";
}
cout << matrix[row][col_size - 1];
cout << "]" << endl;
}
cout << endl;
// restore old cout formatting
cout.copyfmt(old_fmt);
}
void slowEncoding(size_t poly_modulus_degree)
{
// Set output file
string filename = "matrix_ops_" + to_string(poly_modulus_degree) + ".dat";
ofstream outf(filename);
// Handle file error
if (!outf)
{
cerr << "Couldn't open file: " << filename << endl;
exit(1);
}
// Set output script
string script = "script_matrix_ops_" + to_string(poly_modulus_degree) + ".p";
ofstream outscript(script);
// Handle script error
if (!outscript)
{
cerr << "Couldn't open file: " << script << endl;
exit(1);
}
// Write to script
outscript << "# Set the output terminal" << endl;
outscript << "set terminal canvas" << endl;
outscript << "set output \"canvas_matrix_ops_" << to_string(poly_modulus_degree) << ".html\"" << endl;
outscript << "set title \"CKKS Matrix Ops Benchmark " << to_string(poly_modulus_degree) << "\"" << endl;
outscript << "set xlabel 'Input Vector Size'" << endl;
outscript << "set ylabel 'Time (microseconds)'" << endl;
outscript << "set logscale y" << endl;
outscript << "set xtics nomirror" << endl;
outscript << "set ytics nomirror" << endl;
outscript << "set grid" << endl;
outscript << "set key outside" << endl;
outscript << "set key spacing 2" << endl;
outscript << "\n# Set the styling " << endl;
outscript << "set style line 1\\\n"
<< "linecolor rgb '#3da3f5'\\\n"
<< "linetype 1 linewidth 2\\\n"
<< "pointtype 7 pointsize 1\n"
<< endl;
outscript << "set style line 2\\\n"
<< "linecolor rgb '#dd181f'\\\n"
<< "linetype 1 linewidth 2\\\n"
<< "pointtype 5 pointsize 1\n"
<< endl;
outscript << "set style line 3\\\n"
<< "linecolor rgb '#00FF00'\\\n"
<< "linetype 1 linewidth 2\\\n"
<< "pointtype 6 pointsize 1\n"
<< endl;
outscript << "set style line 4\\\n"
<< "linecolor rgb '#EC00EC'\\\n"
<< "linetype 1 linewidth 2\\\n"
<< "pointtype 4 pointsize 1\n"
<< endl;
outscript << "set style line 5\\\n"
<< "linecolor rgb '#f5a142'\\\n"
<< "linetype 1 linewidth 2\\\n"
<< "pointtype 3 pointsize 1\n"
<< endl;
outscript << "set style line 6\\\n"
<< "linecolor rgb '#07025e'\\\n"
<< "linetype 1 linewidth 2\\\n"
<< "pointtype 2 pointsize 1\n"
<< endl;
outscript << "set style line 7\\\n"
<< "linecolor rgb '#07025e'\\\n"
<< "linetype 1 linewidth 2\\\n"
<< "pointtype 9 pointsize 1\n"
<< endl;
outscript << "set style line 8\\\n"
<< "linecolor rgb '#07025e'\\\n"
<< "linetype 1 linewidth 2\\\n"
<< "pointtype 10 pointsize 1\n"
<< endl;
outscript << "\nplot 'matrix_ops_" << to_string(poly_modulus_degree) << ".dat'"
<< " index 0 title \"Encode\" with linespoints ls 1, \\\n"
<< "'' index 1 title \"Encrypt\" with linespoints ls 2, \\\n"
<< "'' index 2 title \"C1 + P2\" with linespoints ls 3, \\\n"
<< "'' index 3 title \"C1 + C2\" with linespoints ls 4, \\\n"
<< "'' index 4 title \"C1 * P2\" with linespoints ls 5, \\\n"
<< "'' index 5 title \"C1 * C2\" with linespoints ls 6, \\\n"
<< "'' index 6 title \"C1 . P2\" with linespoints ls 7, \\\n"
<< "'' index 7 title \"C1 . C2\" with linespoints ls 8";
// Close script
outscript.close();
EncryptionParameters params(scheme_type::CKKS);
params.set_poly_modulus_degree(poly_modulus_degree);
params.set_coeff_modulus(CoeffModulus::BFVDefault(poly_modulus_degree));
auto context = SEALContext::Create(params);
// Generate keys, encryptor, decryptor and evaluator
KeyGenerator keygen(context);
PublicKey pk = keygen.public_key();
SecretKey sk = keygen.secret_key();
Encryptor encryptor(context, pk);
Evaluator evaluator(context);
Decryptor decryptor(context, sk);
// Create CKKS encoder
CKKSEncoder ckks_encoder(context);
// Create scale
double scale = sqrt(static_cast<double>(params.coeff_modulus().back().value()));
int dimension1 = 10;
cout << "Dimension Set 1 :" << dimension1 << endl
<< endl;
int dimension2 = 20;
cout << "Dimension Set 2 :" << dimension2 << endl
<< endl;
int dimension3 = 50;
cout << "Dimension Set 3 :" << dimension3 << endl
<< endl;
// Create Input matrices
// Set 1
vector<vector<double>> pod_matrix1_set1(dimension1, vector<double>(dimension1));
vector<vector<double>> pod_matrix2_set1(dimension1, vector<double>(dimension1));
// Set 2
vector<vector<double>> pod_matrix1_set2(dimension2, vector<double>(dimension2));
vector<vector<double>> pod_matrix2_set2(dimension2, vector<double>(dimension2));
// Set 3
vector<vector<double>> pod_matrix1_set3(dimension3, vector<double>(dimension3));
vector<vector<double>> pod_matrix2_set3(dimension3, vector<double>(dimension3));
// Fill input matrices
double filler = 0.0;
// Set 1
for (int i = 0; i < dimension1; i++)
{
for (int j = 0; j < dimension1; j++)
{
pod_matrix1_set1[i][j] = filler;
pod_matrix2_set1[i][j] = static_cast<double>((j % 2) + 1);
filler++;
}
}
print_partial_matrix(pod_matrix1_set1);
print_partial_matrix(pod_matrix2_set1);
// Set 2
filler = 0.0;
for (int i = 0; i < dimension2; i++)
{
for (int j = 0; j < dimension2; j++)
{
pod_matrix1_set2[i][j] = filler;
pod_matrix2_set2[i][j] = static_cast<double>((j % 2) + 1);
filler++;
}
}
// Set 3
filler = 0.0;
for (int i = 0; i < dimension3; i++)
{
for (int j = 0; j < dimension3; j++)
{
pod_matrix1_set3[i][j] = filler;
pod_matrix2_set3[i][j] = static_cast<double>((j % 2) + 1);
filler++;
}
}
// Encode matrices
// Set 1
vector<vector<Plaintext>> plain_matrix1_set1(dimension1, vector<Plaintext>(dimension1));
vector<vector<Plaintext>> plain_matrix2_set1(dimension1, vector<Plaintext>(dimension1));
// Set 2
vector<vector<Plaintext>> plain_matrix1_set2(dimension2, vector<Plaintext>(dimension2));
vector<vector<Plaintext>> plain_matrix2_set2(dimension2, vector<Plaintext>(dimension2));
// Set 1
vector<vector<Plaintext>> plain_matrix1_set3(dimension3, vector<Plaintext>(dimension3));
vector<vector<Plaintext>> plain_matrix2_set3(dimension3, vector<Plaintext>(dimension3));
outf << "# index 0" << endl;
outf << "# Encoding" << endl;
// Set 1
auto start_encode_set1 = chrono::high_resolution_clock::now();
for (int i = 0; i < dimension1; i++)
{
for (int j = 0; j < dimension1; j++)
{
ckks_encoder.encode(pod_matrix1_set1[i][j], scale, plain_matrix1_set1[i][j]);
ckks_encoder.encode(pod_matrix2_set1[i][j], scale, plain_matrix2_set1[i][j]);
}
}
auto stop_encode_set1 = chrono::high_resolution_clock::now();
auto duration_encode_set1 = chrono::duration_cast<chrono::microseconds>(stop_encode_set1 - start_encode_set1);
cout << "Encoding time Set 1: " << duration_encode_set1.count() << " microseconds" << endl;
outf << dimension1 << "\t\t" << duration_encode_set1.count() << endl;
// Set 2
auto start_encode_set2 = chrono::high_resolution_clock::now();
for (int i = 0; i < dimension2; i++)
{
for (int j = 0; j < dimension2; j++)
{
ckks_encoder.encode(pod_matrix1_set2[i][j], scale, plain_matrix1_set2[i][j]);
ckks_encoder.encode(pod_matrix2_set2[i][j], scale, plain_matrix2_set2[i][j]);
}
}
auto stop_encode_set2 = chrono::high_resolution_clock::now();
auto duration_encode_set2 = chrono::duration_cast<chrono::microseconds>(stop_encode_set2 - start_encode_set2);
cout << "Encoding time Set 2: " << duration_encode_set2.count() << " microseconds" << endl;
outf << dimension2 << "\t\t" << duration_encode_set2.count() << endl;
// Set 3
auto start_encode_set3 = chrono::high_resolution_clock::now();
for (int i = 0; i < dimension3; i++)
{
for (int j = 0; j < dimension3; j++)
{
ckks_encoder.encode(pod_matrix1_set3[i][j], scale, plain_matrix1_set3[i][j]);
ckks_encoder.encode(pod_matrix2_set3[i][j], scale, plain_matrix2_set3[i][j]);
}
}
auto stop_encode_set3 = chrono::high_resolution_clock::now();
auto duration_encode_set3 = chrono::duration_cast<chrono::microseconds>(stop_encode_set3 - start_encode_set3);
cout << "Encoding time Set 3: " << duration_encode_set3.count() << " microseconds" << endl;
outf << dimension3 << "\t\t" << duration_encode_set3.count() << endl;
cout << endl;
outf << "\n"
<< endl;
// Encrypt the matrices
// Set 1
vector<vector<Ciphertext>> cipher_matrix1_set1(dimension1, vector<Ciphertext>(dimension1));
vector<vector<Ciphertext>> cipher_matrix2_set1(dimension1, vector<Ciphertext>(dimension1));
// Set 2
vector<vector<Ciphertext>> cipher_matrix1_set2(dimension2, vector<Ciphertext>(dimension2));
vector<vector<Ciphertext>> cipher_matrix2_set2(dimension2, vector<Ciphertext>(dimension2));
// Set 3
vector<vector<Ciphertext>> cipher_matrix1_set3(dimension3, vector<Ciphertext>(dimension3));
vector<vector<Ciphertext>> cipher_matrix2_set3(dimension3, vector<Ciphertext>(dimension3));
outf << "# index 1" << endl;
outf << "# Encryption" << endl;
// Set 1
auto start_encrypt_set1 = chrono::high_resolution_clock::now();
for (int i = 0; i < dimension1; i++)
{
for (int j = 0; j < dimension1; j++)
{
encryptor.encrypt(plain_matrix1_set1[i][j], cipher_matrix1_set1[i][j]);
encryptor.encrypt(plain_matrix2_set1[i][j], cipher_matrix2_set1[i][j]);
}
}
auto stop_encrypt_set1 = chrono::high_resolution_clock::now();
auto duration_encrypt_set1 = chrono::duration_cast<chrono::microseconds>(stop_encrypt_set1 - start_encrypt_set1);
cout << "Encryption time Set 1: " << duration_encrypt_set1.count() << " microseconds" << endl;
outf << dimension1 << "\t\t" << duration_encrypt_set1.count() << endl;
// Set 2
auto start_encrypt_set2 = chrono::high_resolution_clock::now();
for (int i = 0; i < dimension2; i++)
{
for (int j = 0; j < dimension2; j++)
{
encryptor.encrypt(plain_matrix1_set2[i][j], cipher_matrix1_set2[i][j]);
encryptor.encrypt(plain_matrix2_set2[i][j], cipher_matrix2_set2[i][j]);
}
}
auto stop_encrypt_set2 = chrono::high_resolution_clock::now();
auto duration_encrypt_set2 = chrono::duration_cast<chrono::microseconds>(stop_encrypt_set2 - start_encrypt_set2);
cout << "Encryption time Set 2: " << duration_encrypt_set2.count() << " microseconds" << endl;
outf << dimension2 << "\t\t" << duration_encrypt_set2.count() << endl;
// Set 3
auto start_encrypt_set3 = chrono::high_resolution_clock::now();
for (int i = 0; i < dimension3; i++)
{
for (int j = 0; j < dimension3; j++)
{
encryptor.encrypt(plain_matrix1_set3[i][j], cipher_matrix1_set3[i][j]);
encryptor.encrypt(plain_matrix2_set3[i][j], cipher_matrix2_set3[i][j]);
}
}
auto stop_encrypt_set3 = chrono::high_resolution_clock::now();
auto duration_encrypt_set3 = chrono::duration_cast<chrono::microseconds>(stop_encrypt_set3 - start_encrypt_set3);
cout << "Encryption time Set 3: " << duration_encrypt_set3.count() << " microseconds" << endl;
outf << dimension3 << "\t\t" << duration_encrypt_set3.count() << endl;
cout << endl;
outf << "\n"
<< endl;
// C1+P2
cout << "\n----------------- C1 + P2----------------\n"
<< endl;
outf << "# index 2" << endl;
outf << "# C1 + P2" << endl;
// Set 1
vector<vector<Ciphertext>> cipher_result_addition_plain_set1(dimension1, vector<Ciphertext>(dimension1));
auto start_add_plain_set1 = chrono::high_resolution_clock::now();
for (int i = 0; i < dimension1; i++)
{
for (int j = 0; j < dimension1; j++)
{
evaluator.add_plain(cipher_matrix1_set1[i][j], plain_matrix2_set1[i][j], cipher_result_addition_plain_set1[i][j]);
}
}
auto stop_add_plain_set1 = chrono::high_resolution_clock::now();
auto duration_add_plain_set1 = chrono::duration_cast<chrono::microseconds>(stop_add_plain_set1 - start_add_plain_set1);
// Decrypt
vector<vector<Plaintext>> plain_result_addition_plain_set1(dimension1, vector<Plaintext>(dimension1));
for (int i = 0; i < dimension1; i++)
{
for (int j = 0; j < dimension1; j++)
{
decryptor.decrypt(cipher_result_addition_plain_set1[i][j], plain_result_addition_plain_set1[i][j]);
}
}
// Decode
vector<vector<double>> pod_result_addition_plain_set1(dimension1, vector<double>(dimension1));
for (int i = 0; i < dimension1; i++)
{
for (int j = 0; j < dimension1; j++)
{
vector<double> temp;
ckks_encoder.decode(plain_result_addition_plain_set1[i][j], temp);
pod_result_addition_plain_set1[i][j] = temp[0];
}
}
// Print output
print_partial_matrix(pod_result_addition_plain_set1);
cout << "Compute C1+P2 time Set 1: " << duration_add_plain_set1.count() << " microseconds" << endl;
outf << dimension1 << "\t\t" << duration_add_plain_set1.count() << endl;
// Set 2
vector<vector<Ciphertext>> cipher_result_addition_plain_set2(dimension2, vector<Ciphertext>(dimension2));
auto start_add_plain_set2 = chrono::high_resolution_clock::now();
for (int i = 0; i < dimension2; i++)
{
for (int j = 0; j < dimension2; j++)
{
evaluator.add_plain(cipher_matrix1_set2[i][j], plain_matrix2_set2[i][j], cipher_result_addition_plain_set2[i][j]);
}
}
auto stop_add_plain_set2 = chrono::high_resolution_clock::now();
auto duration_add_plain_set2 = chrono::duration_cast<chrono::microseconds>(stop_add_plain_set2 - start_add_plain_set2);
// Decrypt
vector<vector<Plaintext>> plain_result_addition_plain_set2(dimension2, vector<Plaintext>(dimension2));
for (int i = 0; i < dimension2; i++)
{
for (int j = 0; j < dimension2; j++)
{
decryptor.decrypt(cipher_result_addition_plain_set2[i][j], plain_result_addition_plain_set2[i][j]);
}
}
// Decode
vector<vector<double>> pod_result_addition_plain_set2(dimension2, vector<double>(dimension2));
for (int i = 0; i < dimension2; i++)
{
for (int j = 0; j < dimension2; j++)
{
vector<double> temp;
ckks_encoder.decode(plain_result_addition_plain_set2[i][j], temp);
pod_result_addition_plain_set2[i][j] = temp[0];
}
}
// Print output
print_partial_matrix(pod_result_addition_plain_set2);
cout << "Compute C1+P2 time Set 2: " << duration_add_plain_set2.count() << " microseconds" << endl;
outf << dimension2 << "\t\t" << duration_add_plain_set2.count() << endl;
// Set 3
vector<vector<Ciphertext>> cipher_result_addition_plain_set3(dimension3, vector<Ciphertext>(dimension3));
auto start_add_plain_set3 = chrono::high_resolution_clock::now();
for (int i = 0; i < dimension3; i++)
{
for (int j = 0; j < dimension3; j++)
{
evaluator.add_plain(cipher_matrix1_set3[i][j], plain_matrix2_set3[i][j], cipher_result_addition_plain_set3[i][j]);
}
}
auto stop_add_plain_set3 = chrono::high_resolution_clock::now();
auto duration_add_plain_set3 = chrono::duration_cast<chrono::microseconds>(stop_add_plain_set3 - start_add_plain_set3);
// Decrypt
vector<vector<Plaintext>> plain_result_addition_plain_set3(dimension3, vector<Plaintext>(dimension3));
for (int i = 0; i < dimension3; i++)
{
for (int j = 0; j < dimension3; j++)
{
decryptor.decrypt(cipher_result_addition_plain_set3[i][j], plain_result_addition_plain_set3[i][j]);
}
}
// Decode
vector<vector<double>> pod_result_addition_plain_set3(dimension3, vector<double>(dimension3));
for (int i = 0; i < dimension3; i++)
{
for (int j = 0; j < dimension3; j++)
{
vector<double> temp;
ckks_encoder.decode(plain_result_addition_plain_set3[i][j], temp);
pod_result_addition_plain_set3[i][j] = temp[0];
}
}
// Print output
print_partial_matrix(pod_result_addition_plain_set3);
cout << "Compute C1+P2 time Set 3: " << duration_add_plain_set3.count() << " microseconds" << endl;
outf << dimension3 << "\t\t" << duration_add_plain_set3.count() << endl;
cout << endl;
outf << "\n"
<< endl;
// C1+C2
cout << "\n----------------- C1 + C2----------------\n"
<< endl;
outf << "# index 3" << endl;
outf << "# C1 + C2" << endl;
// Set 1
vector<vector<Ciphertext>> cipher_result_addition_cipher_set1(dimension1, vector<Ciphertext>(dimension1));
auto start_add_cipher_set1 = chrono::high_resolution_clock::now();
for (int i = 0; i < dimension1; i++)
{
for (int j = 0; j < dimension1; j++)
{
evaluator.add(cipher_matrix1_set1[i][j], cipher_matrix2_set1[i][j], cipher_result_addition_cipher_set1[i][j]);
}
}
auto stop_add_cipher_set1 = chrono::high_resolution_clock::now();
auto duration_add_cipher_set1 = chrono::duration_cast<chrono::microseconds>(stop_add_cipher_set1 - start_add_cipher_set1);
// Decrypt
vector<vector<Plaintext>> plain_result_addition_cipher_set1(dimension1, vector<Plaintext>(dimension1));
for (int i = 0; i < dimension1; i++)
{
for (int j = 0; j < dimension1; j++)
{
decryptor.decrypt(cipher_result_addition_plain_set1[i][j], plain_result_addition_cipher_set1[i][j]);
}
}
// Decode
vector<vector<double>> pod_result_addition_cipher_set1(dimension1, vector<double>(dimension1));
for (int i = 0; i < dimension1; i++)
{
for (int j = 0; j < dimension1; j++)
{
vector<double> temp;
ckks_encoder.decode(plain_result_addition_cipher_set1[i][j], temp);
pod_result_addition_cipher_set1[i][j] = temp[0];
}
}
// Print output
print_partial_matrix(pod_result_addition_cipher_set1);
cout << "Compute C1+C2 time Set 1: " << duration_add_cipher_set1.count() << " microseconds" << endl;
outf << dimension1 << "\t\t" << duration_add_cipher_set1.count() << endl;
// Set 2
vector<vector<Ciphertext>> cipher_result_addition_cipher_set2(dimension2, vector<Ciphertext>(dimension2));
auto start_add_cipher_set2 = chrono::high_resolution_clock::now();
for (int i = 0; i < dimension2; i++)
{
for (int j = 0; j < dimension2; j++)
{
evaluator.add(cipher_matrix1_set2[i][j], cipher_matrix2_set2[i][j], cipher_result_addition_cipher_set2[i][j]);
}
}
auto stop_add_cipher_set2 = chrono::high_resolution_clock::now();
auto duration_add_cipher_set2 = chrono::duration_cast<chrono::microseconds>(stop_add_cipher_set2 - start_add_cipher_set2);
// Decrypt
vector<vector<Plaintext>> plain_result_addition_cipher_set2(dimension2, vector<Plaintext>(dimension2));
for (int i = 0; i < dimension2; i++)
{
for (int j = 0; j < dimension2; j++)
{
decryptor.decrypt(cipher_result_addition_plain_set2[i][j], plain_result_addition_cipher_set2[i][j]);
}
}
// Decode
vector<vector<double>> pod_result_addition_cipher_set2(dimension2, vector<double>(dimension2));
for (int i = 0; i < dimension2; i++)
{
for (int j = 0; j < dimension2; j++)
{
vector<double> temp;
ckks_encoder.decode(plain_result_addition_cipher_set2[i][j], temp);
pod_result_addition_cipher_set2[i][j] = temp[0];
}
}
// Print output
print_partial_matrix(pod_result_addition_cipher_set2);
cout << "Compute C1+C2 time Set 2: " << duration_add_cipher_set2.count() << " microseconds" << endl;
outf << dimension2 << "\t\t" << duration_add_cipher_set2.count() << endl;
// Set 3
vector<vector<Ciphertext>> cipher_result_addition_cipher_set3(dimension3, vector<Ciphertext>(dimension3));
auto start_add_cipher_set3 = chrono::high_resolution_clock::now();
for (int i = 0; i < dimension3; i++)
{
for (int j = 0; j < dimension3; j++)
{
evaluator.add(cipher_matrix1_set3[i][j], cipher_matrix2_set3[i][j], cipher_result_addition_cipher_set3[i][j]);
}
}
auto stop_add_cipher_set3 = chrono::high_resolution_clock::now();
auto duration_add_cipher_set3 = chrono::duration_cast<chrono::microseconds>(stop_add_cipher_set3 - start_add_cipher_set3);
// Decrypt
vector<vector<Plaintext>> plain_result_addition_cipher_set3(dimension3, vector<Plaintext>(dimension3));
for (int i = 0; i < dimension3; i++)
{
for (int j = 0; j < dimension3; j++)
{
decryptor.decrypt(cipher_result_addition_plain_set3[i][j], plain_result_addition_cipher_set3[i][j]);
}
}
// Decode
vector<vector<double>> pod_result_addition_cipher_set3(dimension3, vector<double>(dimension3));
for (int i = 0; i < dimension3; i++)
{
for (int j = 0; j < dimension3; j++)
{
vector<double> temp;
ckks_encoder.decode(plain_result_addition_cipher_set3[i][j], temp);
pod_result_addition_cipher_set3[i][j] = temp[0];
}
}
// Print output
print_partial_matrix(pod_result_addition_cipher_set3);
cout << "Compute C1+C2 time Set 3: " << duration_add_cipher_set3.count() << " microseconds" << endl;
outf << dimension3 << "\t\t" << duration_add_cipher_set3.count() << endl;
cout << endl;
outf << "\n"
<< endl;
// C1*P2
cout << "\n----------------- C1 * P2 (component-wise)----------------\n"
<< endl;
outf << "# index 4" << endl;
outf << "# C1 * P2" << endl;
// Set 1
vector<vector<Ciphertext>> cipher_result_mult_plain_set1(dimension1, vector<Ciphertext>(dimension1));
auto start_mult_plain_set1 = chrono::high_resolution_clock::now();
for (int i = 0; i < dimension1; i++)
{
for (int j = 0; j < dimension1; j++)
{
evaluator.multiply_plain(cipher_matrix1_set1[i][j], plain_matrix2_set1[i][j], cipher_result_mult_plain_set1[i][j]);
}
}
auto stop_mult_plain_set1 = chrono::high_resolution_clock::now();
auto duration_mult_plain_set1 = chrono::duration_cast<chrono::microseconds>(stop_mult_plain_set1 - start_mult_plain_set1);
// Decrypt
vector<vector<Plaintext>> plain_result_mult_plain_set1(dimension1, vector<Plaintext>(dimension1));
for (int i = 0; i < dimension1; i++)
{
for (int j = 0; j < dimension1; j++)
{
decryptor.decrypt(cipher_result_mult_plain_set1[i][j], plain_result_mult_plain_set1[i][j]);
}
}
// Decode
vector<vector<double>> pod_result_mult_plain_set1(dimension1, vector<double>(dimension1));
for (int i = 0; i < dimension1; i++)
{
for (int j = 0; j < dimension1; j++)
{
vector<double> temp;
ckks_encoder.decode(plain_result_mult_plain_set1[i][j], temp);
pod_result_mult_plain_set1[i][j] = temp[0];
}
}
// Print output
print_partial_matrix(pod_result_mult_plain_set1);
cout << "Compute C1 * P2 (component-wise) time Set 1: " << duration_mult_plain_set1.count() << " microseconds" << endl;
outf << dimension1 << "\t\t" << duration_mult_plain_set1.count() << endl;
// Set 2
vector<vector<Ciphertext>> cipher_result_mult_plain_set2(dimension2, vector<Ciphertext>(dimension2));
auto start_mult_plain_set2 = chrono::high_resolution_clock::now();
for (int i = 0; i < dimension2; i++)
{
for (int j = 0; j < dimension2; j++)
{
evaluator.multiply_plain(cipher_matrix1_set2[i][j], plain_matrix2_set2[i][j], cipher_result_mult_plain_set2[i][j]);
}
}
auto stop_mult_plain_set2 = chrono::high_resolution_clock::now();
auto duration_mult_plain_set2 = chrono::duration_cast<chrono::microseconds>(stop_mult_plain_set2 - start_mult_plain_set2);
// Decrypt
vector<vector<Plaintext>> plain_result_mult_plain_set2(dimension2, vector<Plaintext>(dimension2));
for (int i = 0; i < dimension2; i++)
{
for (int j = 0; j < dimension2; j++)
{
decryptor.decrypt(cipher_result_mult_plain_set2[i][j], plain_result_mult_plain_set2[i][j]);
}
}
// Decode
vector<vector<double>> pod_result_mult_plain_set2(dimension2, vector<double>(dimension2));
for (int i = 0; i < dimension2; i++)
{
for (int j = 0; j < dimension2; j++)
{
vector<double> temp;
ckks_encoder.decode(plain_result_mult_plain_set2[i][j], temp);
pod_result_mult_plain_set2[i][j] = temp[0];
}
}
// Print output
print_partial_matrix(pod_result_mult_plain_set2);
cout << "Compute C1 * P2 (component-wise) time Set 2: " << duration_mult_plain_set2.count() << " microseconds" << endl;
outf << dimension2 << "\t\t" << duration_mult_plain_set2.count() << endl;
// Set 3
vector<vector<Ciphertext>> cipher_result_mult_plain_set3(dimension3, vector<Ciphertext>(dimension3));
auto start_mult_plain_set3 = chrono::high_resolution_clock::now();
for (int i = 0; i < dimension3; i++)
{
for (int j = 0; j < dimension3; j++)
{
evaluator.multiply_plain(cipher_matrix1_set3[i][j], plain_matrix2_set3[i][j], cipher_result_mult_plain_set3[i][j]);
}
}
auto stop_mult_plain_set3 = chrono::high_resolution_clock::now();
auto duration_mult_plain_set3 = chrono::duration_cast<chrono::microseconds>(stop_mult_plain_set3 - start_mult_plain_set3);
// Decrypt
vector<vector<Plaintext>> plain_result_mult_plain_set3(dimension3, vector<Plaintext>(dimension3));
for (int i = 0; i < dimension3; i++)
{
for (int j = 0; j < dimension3; j++)
{
decryptor.decrypt(cipher_result_mult_plain_set3[i][j], plain_result_mult_plain_set3[i][j]);
}
}
// Decode
vector<vector<double>> pod_result_mult_plain_set3(dimension3, vector<double>(dimension3));
for (int i = 0; i < dimension3; i++)
{
for (int j = 0; j < dimension3; j++)
{
vector<double> temp;
ckks_encoder.decode(plain_result_mult_plain_set3[i][j], temp);
pod_result_mult_plain_set3[i][j] = temp[0];
}
}
// Print output
print_partial_matrix(pod_result_mult_plain_set3);
cout << "Compute C1 * P2 (component-wise) time Set 3: " << duration_mult_plain_set3.count() << " microseconds" << endl;
outf << dimension3 << "\t\t" << duration_mult_plain_set3.count() << endl;
cout << endl;
outf << "\n"
<< endl;
// C1*C2
cout << "\n----------------- C1 * C2 (component-wise)----------------\n"
<< endl;
outf << "# index 5" << endl;
outf << "# C1 * C2" << endl;
// Set 1
vector<vector<Ciphertext>> cipher_result_mult_cipher_set1(dimension1, vector<Ciphertext>(dimension1));
auto start_mult_cipher_set1 = chrono::high_resolution_clock::now();
for (int i = 0; i < dimension1; i++)
{
for (int j = 0; j < dimension1; j++)
{
evaluator.multiply(cipher_matrix1_set1[i][j], cipher_matrix2_set1[i][j], cipher_result_mult_cipher_set1[i][j]);
}
}
auto stop_mult_cipher_set1 = chrono::high_resolution_clock::now();
auto duration_mult_cipher_set1 = chrono::duration_cast<chrono::microseconds>(stop_mult_cipher_set1 - start_mult_cipher_set1);
// Decrypt
vector<vector<Plaintext>> plain_result_mult_cipher_set1(dimension1, vector<Plaintext>(dimension1));
for (int i = 0; i < dimension1; i++)
{
for (int j = 0; j < dimension1; j++)
{
decryptor.decrypt(cipher_result_mult_cipher_set1[i][j], plain_result_mult_cipher_set1[i][j]);
}
}
// Decode
vector<vector<double>> pod_result_mult_cipher_set1(dimension1, vector<double>(dimension1));
for (int i = 0; i < dimension1; i++)
{
for (int j = 0; j < dimension1; j++)
{
vector<double> temp;
ckks_encoder.decode(plain_result_mult_cipher_set1[i][j], temp);
pod_result_mult_cipher_set1[i][j] = temp[0];
}
}
// Print output
print_partial_matrix(pod_result_mult_cipher_set1);
cout << "Compute C1 * C2 (component-wise) time Set 1: " << duration_mult_cipher_set1.count() << " microseconds" << endl;
outf << dimension1 << "\t\t" << duration_mult_cipher_set1.count() << endl;
// Set 2
vector<vector<Ciphertext>> cipher_result_mult_cipher_set2(dimension2, vector<Ciphertext>(dimension2));
auto start_mult_cipher_set2 = chrono::high_resolution_clock::now();
for (int i = 0; i < dimension2; i++)
{
for (int j = 0; j < dimension2; j++)
{
evaluator.multiply(cipher_matrix1_set2[i][j], cipher_matrix2_set2[i][j], cipher_result_mult_cipher_set2[i][j]);
}
}
auto stop_mult_cipher_set2 = chrono::high_resolution_clock::now();
auto duration_mult_cipher_set2 = chrono::duration_cast<chrono::microseconds>(stop_mult_cipher_set2 - start_mult_cipher_set2);
// Decrypt
vector<vector<Plaintext>> plain_result_mult_cipher_set2(dimension2, vector<Plaintext>(dimension2));
for (int i = 0; i < dimension2; i++)
{
for (int j = 0; j < dimension2; j++)
{
decryptor.decrypt(cipher_result_mult_cipher_set2[i][j], plain_result_mult_cipher_set2[i][j]);
}
}
// Decode
vector<vector<double>> pod_result_mult_cipher_set2(dimension2, vector<double>(dimension2));
for (int i = 0; i < dimension2; i++)
{
for (int j = 0; j < dimension2; j++)
{
vector<double> temp;
ckks_encoder.decode(plain_result_mult_cipher_set2[i][j], temp);
pod_result_mult_cipher_set2[i][j] = temp[0];
}
}
// Print output
print_partial_matrix(pod_result_mult_cipher_set2);
cout << "Compute C1 * C2 (component-wise) time Set 2: " << duration_mult_cipher_set2.count() << " microseconds" << endl;
outf << dimension2 << "\t\t" << duration_mult_cipher_set2.count() << endl;
// Set 3
vector<vector<Ciphertext>> cipher_result_mult_cipher_set3(dimension3, vector<Ciphertext>(dimension3));
auto start_mult_cipher_set3 = chrono::high_resolution_clock::now();
for (int i = 0; i < dimension3; i++)
{
for (int j = 0; j < dimension3; j++)
{
evaluator.multiply(cipher_matrix1_set3[i][j], cipher_matrix2_set3[i][j], cipher_result_mult_cipher_set3[i][j]);
}
}
auto stop_mult_cipher_set3 = chrono::high_resolution_clock::now();
auto duration_mult_cipher_set3 = chrono::duration_cast<chrono::microseconds>(stop_mult_cipher_set3 - start_mult_cipher_set3);
// Decrypt
vector<vector<Plaintext>> plain_result_mult_cipher_set3(dimension3, vector<Plaintext>(dimension3));
for (int i = 0; i < dimension3; i++)
{
for (int j = 0; j < dimension3; j++)
{
decryptor.decrypt(cipher_result_mult_cipher_set3[i][j], plain_result_mult_cipher_set3[i][j]);
}
}
// Decode
vector<vector<double>> pod_result_mult_cipher_set3(dimension3, vector<double>(dimension3));
for (int i = 0; i < dimension3; i++)
{
for (int j = 0; j < dimension3; j++)
{
vector<double> temp;
ckks_encoder.decode(plain_result_mult_cipher_set3[i][j], temp);
pod_result_mult_cipher_set3[i][j] = temp[0];
}
}
// Print output
print_partial_matrix(pod_result_mult_cipher_set3);
cout << "Compute C1 * C2 (component-wise) time Set 3: " << duration_mult_cipher_set3.count() << " microseconds" << endl;
outf << dimension3 << "\t\t" << duration_mult_cipher_set3.count() << endl;
cout << endl;
outf << "\n"
<< endl;
// C1*P2 (Matrix)
cout << "\n----------------- C1 * P2 (matrix multiplication)----------------\n"
<< endl;
outf << "# index 6" << endl;
outf << "# C1 . C2" << endl;
// Set 1
vector<vector<Ciphertext>> cipher_result_matrix_mult_plain_set1(dimension1, vector<Ciphertext>(dimension1));
auto start_matrix_mult_plain_set1 = chrono::high_resolution_clock::now();
for (int i = 0; i < dimension1; i++)
{
for (int j = 0; j < dimension1; j++)
{
vector<Ciphertext> temp(dimension1);
for (int k = 0; k < dimension1; k++)