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from openfhe import *
def SimpleComplexNumbers():
print("\n================= Simple Operations on Complex Numbers =====================")
# Step 1: Setup CryptoContext
multDepth = 1
scaleModSize = 50
batchSize = 8
ckksDataType = CKKSDataType.COMPLEX
parameters = CCParamsCKKSRNS()
parameters.SetMultiplicativeDepth(multDepth)
parameters.SetScalingModSize(scaleModSize)
parameters.SetBatchSize(batchSize)
parameters.SetCKKSDataType(ckksDataType)
cc = GenCryptoContext(parameters)
cc.Enable(PKE)
cc.Enable(KEYSWITCH)
cc.Enable(LEVELEDSHE)
print(f"CKKS scheme is using ring dimension {cc.GetRingDimension()}\n")
# Step 2: Key Generation
keys = cc.KeyGen()
cc.EvalMultKeyGen(keys.secretKey)
cc.EvalRotateKeyGen(keys.secretKey, [1, -2])
# Conjugation key: automorphism with index 2N-1
indexConj = 2 * cc.GetRingDimension() - 1
cc.EvalAutomorphismKeyGen(keys.secretKey, [indexConj])
# Step 3: Encoding and encryption of inputs
x1 = [0.25 + 0.25j, 0.5 + 0.5j, 0.75 + 0.75j, 1.0 + 1.0j,
2.0 + 2.0j, 3.0 + 3.0j, 4.0 + 4.0j, 5.0 + 5.0j]
x2 = [5.0 - 5.0j, 4.0 - 4.0j, 3.0 - 3.0j, 2.0 - 2.0j,
1.0 - 1.0j, 0.75 - 0.75j, 0.5 - 0.5j, 0.25 - 0.25j]
constComplex = 1.0 - 2.0j
constComplex2 = 1.0 + 0.5j
ptxt1 = cc.MakeCKKSPackedPlaintext(x1)
ptxt2 = cc.MakeCKKSPackedPlaintext(x2)
print(f"Input x1: {ptxt1}", end="")
print(f"Input x2: {ptxt2}", end="")
c1 = cc.Encrypt(keys.publicKey, ptxt1)
c2 = cc.Encrypt(keys.publicKey, ptxt2)
# Step 4: Evaluation
cAdd = cc.EvalAdd(c1, c2)
cSub = cc.EvalSub(c1, c2)
cScalar = cc.EvalMult(c1, 4.0)
cMul = cc.EvalMult(c1, c2)
cRot1 = cc.EvalRotate(c1, 1)
cRot2 = cc.EvalRotate(c1, -2)
# Conjugation (automorphism)
evalConjKeyMap = cc.GetEvalAutomorphismKeyMap(c1.GetKeyTag())
cConj1 = cc.EvalAutomorphism(c1, indexConj, evalConjKeyMap)
# Multiply by a complex constant
cMulC = cc.EvalMult(c1, constComplex)
# Additions by complex constants
cAddC = cc.EvalAdd(c2, constComplex)
cc.EvalAddInPlace(cAddC, constComplex2)
# Subtractions by complex constants
cSubC = cc.EvalSub(c2, constComplex)
cc.EvalSubInPlace(cSubC, constComplex2)
# Step 5: Decryption and output
print("\nDecrypted complex inputs:\n")
result = cc.Decrypt(keys.secretKey, c1)
result.SetLength(batchSize)
print(f"x1 = {result}", end="")
result = cc.Decrypt(keys.secretKey, c2)
result.SetLength(batchSize)
print(f"x2 = {result}", end="")
print("\nResults of homomorphic computations:\n")
result = cc.Decrypt(keys.secretKey, cAdd)
result.SetLength(batchSize)
print(f"x1 + x2 = {result}", end="")
result = cc.Decrypt(keys.secretKey, cSub)
result.SetLength(batchSize)
print(f"x1 - x2 = {result}", end="")
result = cc.Decrypt(keys.secretKey, cScalar)
result.SetLength(batchSize)
print(f"4 * x1 = {result}", end="")
result = cc.Decrypt(keys.secretKey, cMul)
result.SetLength(batchSize)
print(f"x1 * x2 = {result}", end="")
result = cc.Decrypt(keys.secretKey, cRot1)
result.SetLength(batchSize)
print("\nIn rotations, very small outputs (~10^-10 here) correspond to 0's:")
print(f"x1 rotated by 1 = {result}", end="")
result = cc.Decrypt(keys.secretKey, cRot2)
result.SetLength(batchSize)
print(f"x1 rotated by -2 = {result}", end="")
result = cc.Decrypt(keys.secretKey, cConj1)
result.SetLength(batchSize)
print(f"x1 conjugated = {result}", end="")
result = cc.Decrypt(keys.secretKey, cMulC)
result.SetLength(batchSize)
print(f"x1 * (1 - 2i) = {result}", end="")
result = cc.Decrypt(keys.secretKey, cAddC)
result.SetLength(batchSize)
print(f"x2 + (1 - 2i) + (1 + 0.5i) = {result}", end="")
result = cc.Decrypt(keys.secretKey, cSubC)
result.SetLength(batchSize)
print(f"x2 - (1 - 2i) - (1 + 0.5i) = {result}", end="")
def _fill_to_length(vec, n, fill_value=0):
# C++ Fill<T>(x, numSlots) behavior for demos is usually "pad with zeros"
if len(vec) >= n:
return vec[:n]
return vec + [fill_value] * (n - len(vec))
def SimpleBootstrappingComplex():
print("\n================= Bootstrapping Complex Numbers =====================")
parameters = CCParamsCKKSRNS()
secretKeyDist = SecretKeyDist.UNIFORM_TERNARY
parameters.SetSecretKeyDist(secretKeyDist)
parameters.SetSecurityLevel(SecurityLevel.HEStd_NotSet)
ringDim = 1 << 6
parameters.SetRingDim(ringDim)
if get_native_int() == 128:
rescaleTech = ScalingTechnique.FIXEDAUTO
dcrtBits = 78
firstMod = 89
else:
rescaleTech = ScalingTechnique.FLEXIBLEAUTO
dcrtBits = 59
firstMod = 60
parameters.SetScalingModSize(dcrtBits)
parameters.SetScalingTechnique(rescaleTech)
parameters.SetFirstModSize(firstMod)
parameters.SetCKKSDataType(CKKSDataType.COMPLEX)
numSlots = ringDim // 2
# parameters.SetBatchSize(numSlots) # intentionally not set in the C++ demo
levelBudget = [2, 2]
levelsAvailableAfterBootstrap = 10
depth = levelsAvailableAfterBootstrap + CryptoContext.GetBootstrapDepth(levelBudget, secretKeyDist)
parameters.SetMultiplicativeDepth(depth)
cryptoContext = GenCryptoContext(parameters)
cryptoContext.Enable(PKE)
cryptoContext.Enable(KEYSWITCH)
cryptoContext.Enable(LEVELEDSHE)
cryptoContext.Enable(ADVANCEDSHE)
cryptoContext.Enable(FHE)
print(f"CKKS scheme is using ring dimension {ringDim} and number of slots {numSlots}\n")
cryptoContext.EvalBootstrapSetup(levelBudget, [0, 0], numSlots)
keyPair = cryptoContext.KeyGen()
cryptoContext.EvalMultKeyGen(keyPair.secretKey)
cryptoContext.EvalBootstrapKeyGen(keyPair.secretKey, numSlots)
x = [0.25 + 0.25j, 0.5 - 0.5j, 0.75 + 0.75j, 1.0 - 1.0j,
2.0 + 2.0j, 3.0 - 3.0j, 4.0 + 4.0j, 5.0 - 5.0j]
x = _fill_to_length(x, numSlots, 0.0 + 0.0j)
encodedLength = len(x)
# depleted ciphertext: level = depth-1
ptxt = cryptoContext.MakeCKKSPackedPlaintext(x, 1, depth - 1, None, numSlots)
ptxt.SetLength(encodedLength)
print(f"Input: {ptxt}")
ciph = cryptoContext.Encrypt(keyPair.publicKey, ptxt)
print(f"Initial number of levels remaining: {depth - ciph.GetLevel()}")
ciphertextAfter = cryptoContext.EvalBootstrap(ciph)
levels_after = depth - ciphertextAfter.GetLevel() - (ciphertextAfter.GetNoiseScaleDeg() - 1)
print(f"Number of levels remaining after bootstrapping: {levels_after}\n")
result = cryptoContext.Decrypt(keyPair.secretKey, ciphertextAfter)
result.SetLength(encodedLength)
print(f"Output after bootstrapping:\n\t{result}", end="")
def SimpleBootstrappingStCFirstComplex():
print("\n================= Bootstrapping Complex Numbers with StC Transformation First =====================")
parameters = CCParamsCKKSRNS()
secretKeyDist = SecretKeyDist.UNIFORM_TERNARY
parameters.SetSecretKeyDist(secretKeyDist)
parameters.SetSecurityLevel(SecurityLevel.HEStd_NotSet)
ringDim = 1 << 6
parameters.SetRingDim(ringDim)
if get_native_int() == 128:
rescaleTech = ScalingTechnique.FIXEDAUTO
dcrtBits = 78
firstMod = 89
else:
rescaleTech = ScalingTechnique.FLEXIBLEAUTO
dcrtBits = 59
firstMod = 60
parameters.SetScalingModSize(dcrtBits)
parameters.SetScalingTechnique(rescaleTech)
parameters.SetFirstModSize(firstMod)
parameters.SetCKKSDataType(CKKSDataType.COMPLEX)
numSlots = ringDim // 2
# parameters.SetBatchSize(numSlots) # intentionally not set in the C++ demo
levelBudget = [2, 2]
levelsAvailableAfterBootstrap = 10 + levelBudget[1]
depth = levelsAvailableAfterBootstrap + CryptoContext.GetBootstrapDepth([levelBudget[0], 0], secretKeyDist)
parameters.SetMultiplicativeDepth(depth)
cryptoContext = GenCryptoContext(parameters)
cryptoContext.Enable(PKE)
cryptoContext.Enable(KEYSWITCH)
cryptoContext.Enable(LEVELEDSHE)
cryptoContext.Enable(ADVANCEDSHE)
cryptoContext.Enable(FHE)
print(f"CKKS scheme is using ring dimension {ringDim} and number of slots {numSlots} with depth {depth}\n")
cryptoContext.EvalBootstrapSetup(levelBudget, [0, 0], numSlots, 0, True, True)
keyPair = cryptoContext.KeyGen()
cryptoContext.EvalMultKeyGen(keyPair.secretKey)
cryptoContext.EvalBootstrapKeyGen(keyPair.secretKey, numSlots)
x = [0.25 + 0.25j, 0.5 - 0.5j, 0.75 + 0.75j, 1.0 - 1.0j,
2.0 + 2.0j, 3.0 - 3.0j, 4.0 + 4.0j, 5.0 - 5.0j]
x = _fill_to_length(x, numSlots, 0.0 + 0.0j)
encodedLength = len(x)
# depleted ciphertext: level = depth - 1 - levelBudget[1]
ptxt = cryptoContext.MakeCKKSPackedPlaintext(x, 1, depth - 1 - levelBudget[1], None, numSlots)
ptxt.SetLength(encodedLength)
print(f"Input: {ptxt}")
ciph = cryptoContext.Encrypt(keyPair.publicKey, ptxt)
print(f"Initial number of levels remaining: {depth - ciph.GetLevel()}")
ciphertextAfter = cryptoContext.EvalBootstrap(ciph)
levels_after = depth - ciphertextAfter.GetLevel() - (ciphertextAfter.GetNoiseScaleDeg() - 1)
print(f"Number of levels remaining after bootstrapping: {levels_after}\n")
result = cryptoContext.Decrypt(keyPair.secretKey, ciphertextAfter)
# C++: result->SetLength(2 * encodedLength);
result.SetLength(2 * encodedLength)
print(f"Output after bootstrapping:\n\t{result}", end="")
def main():
SimpleComplexNumbers()
SimpleBootstrappingComplex()
SimpleBootstrappingStCFirstComplex()
if __name__ == "__main__":
main()