public byte[] HandleRequest(byte[] requestBytes)
{
object request = DiffPrivRequest.ParseRequest(requestBytes);
if (request is Common.GetQuoteRequest)
{
GetQuoteResponse getQuoteResponse = new GetQuoteResponse(0, key_pair);
return(getQuoteResponse.Encode());
}
if (request is InitializeDBRequest)
{
InitializeDBRequest r = (InitializeDBRequest)request;
if (rows_received != 0)
{
Console.Error.WriteLine("Received request to initialize DB after receiving rows");
return(DiffPrivSrvResponse.EncodeInitializeDBResponse(18));
}
if (r.budget_num < r.budget_den)
{
Console.Error.WriteLine("Received request to initialize DB with budget < 1");
return(DiffPrivSrvResponse.EncodeInitializeDBResponse(16));
}
budget = new BigRational(r.budget_num, r.budget_den);
rows.Clear();
return(DiffPrivSrvResponse.EncodeInitializeDBResponse(0));
}
if (request is AddRowRequest)
{
byte[] ciphertext = ((AddRowRequest)request).ciphertext;
byte[] plaintext;
try
{
plaintext = key_pair.Decrypt(ciphertext, false);
}
catch
{
Console.Error.WriteLine("Received undecryptable add-row request");
return(DiffPrivSrvResponse.EncodeAddRowResponse());
}
HandleAddRowRequest(plaintext);
return(DiffPrivSrvResponse.EncodeAddRowResponse());
}
if (request is QueryRequest)
{
QueryRequest r = (QueryRequest)request;
return(HandleQueryRequest(r));
}
return(InvalidResponse.Encode());
}
public void HandleAddRowRequest(byte[] plaintext)
{
if (plaintext.Length < 16)
{
Console.Error.WriteLine("Received add-row request with < 16 bytes, with length {0}", plaintext.Length);
return;
}
int row_nonce_size = (int)CommonRoutines.ExtractBEWord(plaintext, 0);
int row_data_size = (int)CommonRoutines.ExtractBEWord(plaintext, 4);
if (plaintext.Length < 16 + row_nonce_size + row_data_size)
{
Console.Error.WriteLine("Received too-small add-row request, with length {0}", plaintext.Length);
return;
}
UInt32 max_budget_num = CommonRoutines.ExtractBEWord(plaintext, 8);
UInt32 max_budget_den = CommonRoutines.ExtractBEWord(plaintext, 12);
byte[] row_nonce = plaintext.Skip(16).Take(row_nonce_size).ToArray();
byte[] row_data = plaintext.Skip(16 + row_nonce_size).Take(row_data_size).ToArray();
UInt32[] row_words = CommonRoutines.BEByteSeqToWordSeq(row_data);
if (max_budget_den == 0)
{
Console.Error.WriteLine("Received add-row request with 0 budget denominator");
return;
}
BigRational max_budget = new BigRational(max_budget_num, max_budget_den);
if (budget > max_budget)
{
Console.Error.WriteLine("Received add-row request with too restrictive a budget requirement");
return;
}
foreach (DiffPrivRow row in rows)
{
if (row.nonce.SequenceEqual(row_nonce))
{
Console.Error.WriteLine("Received add-row request with duplicate nonce, so not adding it");
return;
}
}
rows.Add(new DiffPrivRow(row_nonce, row_words));
}
private static UInt32 FindHighestPowerLeThreshold(BigRational alpha, BigRational threshold, UInt32 max_power)
{
UInt32 e = 0;
BigRational alpha_to_e = new BigRational(1);
while (e < max_power)
{
alpha_to_e = alpha_to_e * alpha;
if (alpha_to_e > threshold)
{
return(e);
}
++e;
}
return(max_power);
}
private static bool FindHigherPowerOfTwo(BigRational r, out UInt32 x)
{
x = 0;
BigRational two = new BigRational(2);
BigRational two_to_x = new BigRational(1);
while (x < 0xFFFFFFFF)
{
if (two_to_x >= r)
{
return(true);
}
++x;
two_to_x *= two;
}
return(two_to_x >= r);
}
public byte[] HandleQueryRequest(QueryRequest request)
{
if (request.row_min > request.row_max)
{
Console.Error.WriteLine("Row value range empty");
return(DiffPrivSrvResponse.EncodeQueryResponse(1, 0));
}
if (request.answer_min > request.answer_max)
{
Console.Error.WriteLine("Answer range empty");
return(DiffPrivSrvResponse.EncodeQueryResponse(2, 0));
}
if (request.answer_units <= 0)
{
Console.Error.WriteLine("Answer units not positive");
return(DiffPrivSrvResponse.EncodeQueryResponse(3, 0));
}
if (request.alpha_num <= request.alpha_den)
{
Console.Error.WriteLine("Alpha not greater than 1");
return(DiffPrivSrvResponse.EncodeQueryResponse(6, 0));
}
if (request.beta_num <= request.beta_den)
{
Console.Error.WriteLine("Beta not greater than 1");
return(DiffPrivSrvResponse.EncodeQueryResponse(13, 0));
}
UInt32[] program_words = CommonRoutines.BEByteSeqToWordSeq(request.program_encoding);
MapperProgram program = new MapperProgram(program_words);
if (!program.IsValid())
{
Console.Error.WriteLine("Invalid program provided for query");
return(DiffPrivSrvResponse.EncodeQueryResponse(4, 0));
}
if (request.answer_units >= 0x80000000)
{
Console.Error.WriteLine("Answer granularity too high");
return(DiffPrivSrvResponse.EncodeQueryResponse(17, 0));
}
BigRational alpha = new BigRational(request.alpha_num, request.alpha_den);
BigRational beta = new BigRational(request.beta_num, request.beta_den);
UInt32 delta = DivideRoundingUp(request.row_max - request.row_min, request.answer_units);
UInt32 B = request.answer_max - request.answer_min;
if (B <= 0)
{
Console.Error.WriteLine("Answer range empty");
return(DiffPrivSrvResponse.EncodeQueryResponse(5, 0));
}
if (alpha <= new BigRational(1))
{
return(DiffPrivSrvResponse.EncodeQueryResponse(6, 0));
}
BigRational alpha_to_delta = BigRational.Power(alpha, delta);
if (beta <= alpha_to_delta)
{
Console.Error.WriteLine("Beta not greater than alpha to the power of delta");
return(DiffPrivSrvResponse.EncodeQueryResponse(7, 0));
}
if (beta > budget)
{
Console.Error.WriteLine("Not enough budget for request");
return(DiffPrivSrvResponse.EncodeQueryResponse(11, 0));
}
BigRational one = new BigRational(1);
BigRational two = new BigRational(2);
BigRational min_alpha_minus_1_and_2 = alpha - one;
if (min_alpha_minus_1_and_2 > two)
{
min_alpha_minus_1_and_2 = two;
}
BigRational noiseEntropyPart1 = (alpha + one) * (beta + one) / ((beta - alpha_to_delta) * min_alpha_minus_1_and_2);
UInt32 r1;
if (!FindHigherPowerOfTwo(noiseEntropyPart1, out r1) || r1 >= 0xFFFFFFE0)
{
Console.Error.WriteLine("Requires too many bits of randomness due to noise entropy part 1");
return(DiffPrivSrvResponse.EncodeQueryResponse(8, 0));
}
UInt32 log_alpha;
if (!FindHigherPowerOfTwo(alpha, out log_alpha) || log_alpha > 0xFFFFFFFFUL / B)
{
Console.Error.WriteLine("Requires too many bits of randomness due to alpha");
return(DiffPrivSrvResponse.EncodeQueryResponse(8, 0));
}
UInt32 r2 = log_alpha * (B - 1);
if (r2 >= 0xFFFFFFC8 - r1)
{
Console.Error.WriteLine("Requires too many bits of randomness due to r2");
return(DiffPrivSrvResponse.EncodeQueryResponse(8, 0));
}
UInt32 r = RoundUpToMultiple(r1 + r2 + 7, 8);
UInt32 num_randoms_needed = RoundUpToMultiple(r / 8, 4) + 1;
bool negate_noise = (rng.Next() % 2 == 0);
byte[] randoms = new byte[num_randoms_needed];
rng.NextBytes(randoms);
randoms[num_randoms_needed - 1] = 0;
BigInteger U = new BigInteger(randoms);
BigRational one_half = new BigRational(1, 2);
BigRational numerator = new BigRational(U) + one_half;
BigRational denominator = BigRational.Power(two, (num_randoms_needed - 1) * 8);
BigRational u = numerator / denominator;
BigRational threshold = (two * alpha) / (u * (alpha + one));
UInt32 absolute_noise = FindHighestPowerLeThreshold(alpha, threshold, B);
UInt32 answer = ComputeSum(program, request.row_min, request.row_max, request.answer_units, request.answer_min, request.answer_max);
UInt32 noised_answer = AddNoise(answer, absolute_noise, negate_noise);
UInt32 response = ClipWord32(noised_answer, request.answer_min, request.answer_max);
budget = budget / beta;
return(DiffPrivSrvResponse.EncodeQueryResponse(0, response));
}
private static UInt32 FindHighestPowerLeThreshold (BigRational alpha, BigRational threshold, UInt32 max_power)
{
UInt32 e = 0;
BigRational alpha_to_e = new BigRational(1);
while (e < max_power)
{
alpha_to_e = alpha_to_e * alpha;
if (alpha_to_e > threshold)
{
return e;
}
++e;
}
return max_power;
}
public byte[] HandleQueryRequest(QueryRequest request)
{
if (request.row_min > request.row_max)
{
Console.Error.WriteLine("Row value range empty");
return DiffPrivSrvResponse.EncodeQueryResponse(1, 0);
}
if (request.answer_min > request.answer_max)
{
Console.Error.WriteLine("Answer range empty");
return DiffPrivSrvResponse.EncodeQueryResponse(2, 0);
}
if (request.answer_units <= 0)
{
Console.Error.WriteLine("Answer units not positive");
return DiffPrivSrvResponse.EncodeQueryResponse(3, 0);
}
if (request.alpha_num <= request.alpha_den)
{
Console.Error.WriteLine("Alpha not greater than 1");
return DiffPrivSrvResponse.EncodeQueryResponse(6, 0);
}
if (request.beta_num <= request.beta_den)
{
Console.Error.WriteLine("Beta not greater than 1");
return DiffPrivSrvResponse.EncodeQueryResponse(13, 0);
}
UInt32[] program_words = CommonRoutines.BEByteSeqToWordSeq(request.program_encoding);
MapperProgram program = new MapperProgram(program_words);
if (!program.IsValid())
{
Console.Error.WriteLine("Invalid program provided for query");
return DiffPrivSrvResponse.EncodeQueryResponse(4, 0);
}
if (request.answer_units >= 0x80000000)
{
Console.Error.WriteLine("Answer granularity too high");
return DiffPrivSrvResponse.EncodeQueryResponse(17, 0);
}
BigRational alpha = new BigRational(request.alpha_num, request.alpha_den);
BigRational beta = new BigRational(request.beta_num, request.beta_den);
UInt32 delta = DivideRoundingUp(request.row_max - request.row_min, request.answer_units);
UInt32 B = request.answer_max - request.answer_min;
if (B <= 0)
{
Console.Error.WriteLine("Answer range empty");
return DiffPrivSrvResponse.EncodeQueryResponse(5, 0);
}
if (alpha <= new BigRational(1))
{
return DiffPrivSrvResponse.EncodeQueryResponse(6, 0);
}
BigRational alpha_to_delta = BigRational.Power(alpha, delta);
if (beta <= alpha_to_delta)
{
Console.Error.WriteLine("Beta not greater than alpha to the power of delta");
return DiffPrivSrvResponse.EncodeQueryResponse(7, 0);
}
if (beta > budget)
{
Console.Error.WriteLine("Not enough budget for request");
return DiffPrivSrvResponse.EncodeQueryResponse(11, 0);
}
BigRational one = new BigRational(1);
BigRational two = new BigRational(2);
BigRational min_alpha_minus_1_and_2 = alpha - one;
if (min_alpha_minus_1_and_2 > two)
{
min_alpha_minus_1_and_2 = two;
}
BigRational noiseEntropyPart1 = (alpha + one) * (beta + one) / ((beta - alpha_to_delta) * min_alpha_minus_1_and_2);
UInt32 r1;
if (!FindHigherPowerOfTwo(noiseEntropyPart1, out r1) || r1 >= 0xFFFFFFE0)
{
Console.Error.WriteLine("Requires too many bits of randomness due to noise entropy part 1");
return DiffPrivSrvResponse.EncodeQueryResponse(8, 0);
}
UInt32 log_alpha;
if (!FindHigherPowerOfTwo(alpha, out log_alpha) || log_alpha > 0xFFFFFFFFUL / B)
{
Console.Error.WriteLine("Requires too many bits of randomness due to alpha");
return DiffPrivSrvResponse.EncodeQueryResponse(8, 0);
}
UInt32 r2 = log_alpha * (B-1);
if (r2 >= 0xFFFFFFC8 - r1)
{
Console.Error.WriteLine("Requires too many bits of randomness due to r2");
return DiffPrivSrvResponse.EncodeQueryResponse(8, 0);
}
UInt32 r = RoundUpToMultiple(r1 + r2 + 7, 8);
UInt32 num_randoms_needed = RoundUpToMultiple(r / 8, 4) + 1;
bool negate_noise = (rng.Next() % 2 == 0);
byte[] randoms = new byte[num_randoms_needed];
rng.NextBytes(randoms);
randoms[num_randoms_needed - 1] = 0;
BigInteger U = new BigInteger(randoms);
BigRational one_half = new BigRational(1, 2);
BigRational numerator = new BigRational(U) + one_half;
BigRational denominator = BigRational.Power(two, (num_randoms_needed - 1) * 8);
BigRational u = numerator / denominator;
BigRational threshold = (two * alpha) / (u * (alpha + one));
UInt32 absolute_noise = FindHighestPowerLeThreshold(alpha, threshold, B);
UInt32 answer = ComputeSum(program, request.row_min, request.row_max, request.answer_units, request.answer_min, request.answer_max);
UInt32 noised_answer = AddNoise(answer, absolute_noise, negate_noise);
UInt32 response = ClipWord32(noised_answer, request.answer_min, request.answer_max);
budget = budget / beta;
return DiffPrivSrvResponse.EncodeQueryResponse(0, response);
}
private static bool FindHigherPowerOfTwo (BigRational r, out UInt32 x)
{
x = 0;
BigRational two = new BigRational(2);
BigRational two_to_x = new BigRational(1);
while (x < 0xFFFFFFFF)
{
if (two_to_x >= r)
{
return true;
}
++x;
two_to_x *= two;
}
return two_to_x >= r;
}
public void HandleAddRowRequest(byte[] plaintext)
{
if (plaintext.Length < 16)
{
Console.Error.WriteLine("Received add-row request with < 16 bytes, with length {0}", plaintext.Length);
return;
}
int row_nonce_size = (int)CommonRoutines.ExtractBEWord(plaintext, 0);
int row_data_size = (int)CommonRoutines.ExtractBEWord(plaintext, 4);
if (plaintext.Length < 16 + row_nonce_size + row_data_size)
{
Console.Error.WriteLine("Received too-small add-row request, with length {0}", plaintext.Length);
return;
}
UInt32 max_budget_num = CommonRoutines.ExtractBEWord(plaintext, 8);
UInt32 max_budget_den = CommonRoutines.ExtractBEWord(plaintext, 12);
byte[] row_nonce = plaintext.Skip(16).Take(row_nonce_size).ToArray();
byte[] row_data = plaintext.Skip(16 + row_nonce_size).Take(row_data_size).ToArray();
UInt32[] row_words = CommonRoutines.BEByteSeqToWordSeq(row_data);
if (max_budget_den == 0)
{
Console.Error.WriteLine("Received add-row request with 0 budget denominator");
return;
}
BigRational max_budget = new BigRational(max_budget_num, max_budget_den);
if (budget > max_budget)
{
Console.Error.WriteLine("Received add-row request with too restrictive a budget requirement");
return;
}
foreach (DiffPrivRow row in rows)
{
if (row.nonce.SequenceEqual(row_nonce))
{
Console.Error.WriteLine("Received add-row request with duplicate nonce, so not adding it");
return;
}
}
rows.Add(new DiffPrivRow(row_nonce, row_words));
}
public byte[] HandleRequest(byte[] requestBytes)
{
object request = DiffPrivRequest.ParseRequest(requestBytes);
if (request is Common.GetQuoteRequest)
{
GetQuoteResponse getQuoteResponse = new GetQuoteResponse(0, key_pair);
return getQuoteResponse.Encode();
}
if (request is InitializeDBRequest)
{
InitializeDBRequest r = (InitializeDBRequest)request;
if (rows_received != 0)
{
Console.Error.WriteLine("Received request to initialize DB after receiving rows");
return DiffPrivSrvResponse.EncodeInitializeDBResponse(18);
}
if (r.budget_num < r.budget_den)
{
Console.Error.WriteLine("Received request to initialize DB with budget < 1");
return DiffPrivSrvResponse.EncodeInitializeDBResponse(16);
}
budget = new BigRational(r.budget_num, r.budget_den);
rows.Clear();
return DiffPrivSrvResponse.EncodeInitializeDBResponse(0);
}
if (request is AddRowRequest)
{
byte[] ciphertext = ((AddRowRequest)request).ciphertext;
byte[] plaintext;
try
{
plaintext = key_pair.Decrypt(ciphertext, false);
}
catch
{
Console.Error.WriteLine("Received undecryptable add-row request");
return DiffPrivSrvResponse.EncodeAddRowResponse();
}
HandleAddRowRequest(plaintext);
return DiffPrivSrvResponse.EncodeAddRowResponse();
}
if (request is QueryRequest)
{
QueryRequest r = (QueryRequest)request;
return HandleQueryRequest(r);
}
return InvalidResponse.Encode();
}
public StateMachine()
{
key_pair = new RSACryptoServiceProvider(CommonParams.serverKeyBits);
rows = new List<DiffPrivRow>();
budget = new BigRational(1);
rows_received = 0;
rng = new Random();
}
public static BigRational Power(BigRational x, UInt32 e)
{
BigRational x_to_e = new BigRational(1);
while (e > 0)
{
x_to_e *= x;
e -= 1;
}
return x_to_e;
}
