FHE dialect

High Level Fully Homomorphic Encryption dialect A dialect for representation of high level operation on fully homomorphic ciphertext.

Operation definition

FHE.add_eint_int (::mlir::concretelang::FHE::AddEintIntOp)

Adds an encrypted integer and a clear integer

The clear integer must have at most one more bit than the encrypted integer and the result must have the same width and the same signedness as the encrypted integer.

Example:

// ok
"FHE.add_eint_int"(%a, %i) : (!FHE.eint<2>, i3) -> !FHE.eint<2>
"FHE.add_eint_int"(%a, %i) : (!FHE.esint<2>, i3) -> !FHE.esint<2>

// error
"FHE.add_eint_int"(%a, %i) : (!FHE.eint<2>, i4) -> !FHE.eint<2>
"FHE.add_eint_int"(%a, %i) : (!FHE.eint<2>, i3) -> !FHE.eint<3>
"FHE.add_eint_int"(%a, %i) : (!FHE.eint<2>, i3) -> !FHE.esint<2>

Traits: AlwaysSpeculatableImplTrait

Interfaces: AdditiveNoise, Binary, BinaryEintInt, ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface)

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
a
b	integer

Results:

Result	Description
«unnamed»

FHE.add_eint (::mlir::concretelang::FHE::AddEintOp)

Adds two encrypted integers

The encrypted integers and the result must have the same width and the same signedness.

Example:

// ok
"FHE.add_eint"(%a, %b): (!FHE.eint<2>, !FHE.eint<2>) -> (!FHE.eint<2>)
"FHE.add_eint"(%a, %b): (!FHE.esint<2>, !FHE.esint<2>) -> (!FHE.esint<2>)

// error
"FHE.add_eint"(%a, %b): (!FHE.eint<2>, !FHE.eint<3>) -> (!FHE.eint<2>)
"FHE.add_eint"(%a, %b): (!FHE.eint<2>, !FHE.eint<2>) -> (!FHE.eint<3>)
"FHE.add_eint"(%a, %b): (!FHE.eint<2>, !FHE.eint<2>) -> (!FHE.esint<2>)
"FHE.add_eint"(%a, %b): (!FHE.esint<2>, !FHE.eint<2>) -> (!FHE.eint<2>)

Traits: AlwaysSpeculatableImplTrait

Interfaces: AdditiveNoise, BinaryEint, ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface)

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
a
b

Results:

Result	Description
«unnamed»

FHE.apply_lookup_table (::mlir::concretelang::FHE::ApplyLookupTableEintOp)

Applies a clear lookup table to an encrypted integer

The width of the result can be different than the width of the operand. The lookup table must be a tensor of size 2^p where p is the width of the encrypted integer.

Example:

// ok
"FHE.apply_lookup_table"(%a, %lut): (!FHE.eint<2>, tensor<4xi64>) -> (!FHE.eint<2>)
"FHE.apply_lookup_table"(%a, %lut): (!FHE.eint<2>, tensor<4xi64>) -> (!FHE.eint<3>)
"FHE.apply_lookup_table"(%a, %lut): (!FHE.eint<3>, tensor<4xi64>) -> (!FHE.eint<2>)

// error
"FHE.apply_lookup_table"(%a, %lut): (!FHE.eint<2>, tensor<8xi64>) -> (!FHE.eint<2>)

Traits: AlwaysSpeculatableImplTrait

Interfaces: ConditionallySpeculatable, ConstantNoise, NoMemoryEffect (MemoryEffectOpInterface)

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
a
lut	tensor of integer values

Results:

Result	Description
«unnamed»

FHE.and (::mlir::concretelang::FHE::BoolAndOp)

Applies an AND gate to two encrypted boolean values

Example:

"FHE.and"(%a, %b): (!FHE.ebool, !FHE.ebool) -> (!FHE.ebool)

Traits: AlwaysSpeculatableImplTrait

Interfaces: ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface)

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
left	An encrypted boolean
right	An encrypted boolean

Results:

Result	Description
«unnamed»	An encrypted boolean

FHE.nand (::mlir::concretelang::FHE::BoolNandOp)

Applies a NAND gate to two encrypted boolean values

Example:

"FHE.nand"(%a, %b): (!FHE.ebool, !FHE.ebool) -> (!FHE.ebool)

Traits: AlwaysSpeculatableImplTrait

Interfaces: ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface)

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
left	An encrypted boolean
right	An encrypted boolean

Results:

Result	Description
«unnamed»	An encrypted boolean

FHE.not (::mlir::concretelang::FHE::BoolNotOp)

Applies a NOT gate to an encrypted boolean value

Example:

"FHE.not"(%a): (!FHE.ebool) -> (!FHE.ebool)

Traits: AlwaysSpeculatableImplTrait

Interfaces: ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface), UnaryEint

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
value	An encrypted boolean

Results:

Result	Description
«unnamed»	An encrypted boolean

FHE.or (::mlir::concretelang::FHE::BoolOrOp)

Applies an OR gate to two encrypted boolean values

Example:

"FHE.or"(%a, %b): (!FHE.ebool, !FHE.ebool) -> (!FHE.ebool)

Traits: AlwaysSpeculatableImplTrait

Interfaces: ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface)

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
left	An encrypted boolean
right	An encrypted boolean

Results:

Result	Description
«unnamed»	An encrypted boolean

FHE.xor (::mlir::concretelang::FHE::BoolXorOp)

Applies an XOR gate to two encrypted boolean values

Example:

"FHE.xor"(%a, %b): (!FHE.ebool, !FHE.ebool) -> (!FHE.ebool)

Traits: AlwaysSpeculatableImplTrait

Interfaces: ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface)

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
left	An encrypted boolean
right	An encrypted boolean

Results:

Result	Description
«unnamed»	An encrypted boolean

FHE.change_partition (::mlir::concretelang::FHE::ChangePartitionEintOp)

Change partition if necessary.

Changing the partition of a ciphertext. If necessary, it keyswitch the ciphertext to a different key having a different set of parameters than the original one.

Example:

  %from_src = "FHE.change_partition"(%eint) {src = #FHE.partition<name "tfhers", lwe_dim 761, glwe_dim 1, poly_size 2048, pbs_base_log 23, pbs_level 1>} : (!FHE.eint<16>) -> (!FHE.eint<16>)
  %to_dest = "FHE.change_partition"(%eint) {dest = #FHE.partition<name "tfhers", lwe_dim 761, glwe_dim 1, poly_size 2048, pbs_base_log 23, pbs_level 1>} : (!FHE.eint<16>) -> (!FHE.eint<16>)

Traits: AlwaysSpeculatableImplTrait

Interfaces: ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface), UnaryEint

Effects: MemoryEffects::Effect{}

Attributes:

Attribute	MLIR Type	Description
src	::mlir::concretelang::FHE::PartitionAttr	An attribute representing a partition.
dest	::mlir::concretelang::FHE::PartitionAttr	An attribute representing a partition.

Operands:

Operand	Description
input

Results:

Result	Description
«unnamed»

FHE.from_bool (::mlir::concretelang::FHE::FromBoolOp)

Cast a boolean to an unsigned integer

Examples:

"FHE.from_bool"(%x) : (!FHE.ebool) -> !FHE.eint<1>
"FHE.from_bool"(%x) : (!FHE.ebool) -> !FHE.eint<2>
"FHE.from_bool"(%x) : (!FHE.ebool) -> !FHE.eint<4>

Traits: AlwaysSpeculatableImplTrait

Interfaces: ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface), UnaryEint

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
input	An encrypted boolean

Results:

Result	Description
«unnamed»	An encrypted unsigned integer

FHE.gen_gate (::mlir::concretelang::FHE::GenGateOp)

Applies a truth table based on two boolean inputs

Truth table must be a tensor of four boolean values.

Example:

// ok
"FHE.gen_gate"(%a, %b, %ttable): (!FHE.ebool, !FHE.ebool, tensor<4xi64>) -> (!FHE.ebool)

// error
"FHE.gen_gate"(%a, %b, %ttable): (!FHE.ebool, !FHE.ebool, tensor<7xi64>) -> (!FHE.ebool)

Traits: AlwaysSpeculatableImplTrait

Interfaces: ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface)

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
left	An encrypted boolean
right	An encrypted boolean
truth_table	tensor of integer values

Results:

Result	Description
«unnamed»	An encrypted boolean

FHE.lsb (::mlir::concretelang::FHE::LsbEintOp)

Extract the lowest significant bit at a given precision.

This operation extracts the lsb of a ciphertext in a specific precision.

Extracting the lsb with the smallest precision:

 // Checking if even or odd
 %even = "FHE.lsb"(%a): (!FHE.eint<4>) -> (!FHE.eint<1>)

Usually when you extract the lsb bit, you also need to extract the next one.
In that case you first need to clear the first lsb of the input to be able to reduce its precision and extract the next one.
To be able to clear the lsb just extracted, you can get it in the original precision.

Example:
```mlir
 // Extracting the first lsb with original precision
 %lsb_0 = "FHE.lsb"(%input): (!FHE.eint<4>) -> (!FHE.eint<4>)
 // Clearing the first lsb from original input
 %input_lsb0_cleared = "FHE.sub_eint"(%input, %lsb_0) : (!FHE.eint<4>, !FHE.eint<4>) -> (!FHE.eint<4>)
 // Reducing the precision of the input
 %input_3b = "FHE.reinterpret_precision(%input) : (!FHE.eint<4>) -> !FHE.eint<3>
 // Now, we can do it again with the second lsb
 %lsb_1 = "FHE.lsb"(%input_3b): (!FHE.eint<3>) -> (!FHE.eint<3>)
 ...
 // later if you need %b_lsb at same position as in the input
 %lsb_1_at_input_position = "FHE.reinterpret_precision(%b_lsb)" : (!FHE.eint<3>) -> !FHE.eint<4>
 // that way you can recombine the extracted bits
 %input_mod_4 = "FHE.add_eint"(%lsb_0, %lsb_1_at_input_position) : (!FHE.eint<4>, !FHE.eint<4>) -> (!FHE.eint<4>)

Traits: AlwaysSpeculatableImplTrait

Interfaces: ConditionallySpeculatable, ConstantNoise, NoMemoryEffect (MemoryEffectOpInterface), UnaryEint

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
input

Results:

Result	Description
«unnamed»

FHE.max_eint (::mlir::concretelang::FHE::MaxEintOp)

Retrieve the maximum of two encrypted integers.

Retrieve the maximum of two encrypted integers using the formula, 'max(x, y) == max(x - y, 0) + y'. The input and output types should be the same.

If `x - y`` inside the max overflows or underflows, the behavior is undefined. To support the full range, you should increase the bit-width by 1 manually.

Example:

// ok
"FHE.max_eint"(%x, %y) : (!FHE.eint<2>, !FHE.eint<2>) -> !FHE.eint<2>
"FHE.max_eint"(%x, %y) : (!FHE.esint<3>, !FHE.esint<3>) -> !FHE.esint<3>

// error
"FHE.max_eint"(%x, %y) : (!FHE.eint<2>, !FHE.eint<3>) -> !FHE.eint<2>
"FHE.max_eint"(%x, %y) : (!FHE.eint<2>, !FHE.eint<2>) -> !FHE.esint<2>
"FHE.max_eint"(%x, %y) : (!FHE.esint<2>, !FHE.eint<2>) -> !FHE.eint<2>

Traits: AlwaysSpeculatableImplTrait

Interfaces: BinaryEint, ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface)

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
x
y

Results:

Result	Description
«unnamed»

FHE.mul_eint_int (::mlir::concretelang::FHE::MulEintIntOp)

Multiply an encrypted integer with a clear integer

The clear integer must have one more bit than the encrypted integer and the result must have the same width and the same signedness as the encrypted integer.

Example:

// ok
"FHE.mul_eint_int"(%a, %i) : (!FHE.eint<2>, i3) -> !FHE.eint<2>
"FHE.mul_eint_int"(%a, %i) : (!FHE.esint<2>, i3) -> !FHE.esint<2>

// error
"FHE.mul_eint_int"(%a, %i) : (!FHE.eint<2>, i4) -> !FHE.eint<2>
"FHE.mul_eint_int"(%a, %i) : (!FHE.eint<2>, i3) -> !FHE.eint<3>
"FHE.mul_eint_int"(%a, %i) : (!FHE.eint<2>, i3) -> !FHE.esint<2>

Traits: AlwaysSpeculatableImplTrait

Interfaces: Binary, BinaryEintInt, ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface)

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
a
b	integer

Results:

Result	Description
«unnamed»

FHE.mul_eint (::mlir::concretelang::FHE::MulEintOp)

Multiplies two encrypted integers

The encrypted integers and the result must have the same width and signedness. Also, due to the current implementation, one supplementary bit of width must be provided, in addition to the number of bits needed to encode the largest output value.

Example:

// ok
"FHE.mul_eint"(%a, %b): (!FHE.eint<2>, !FHE.eint<2>) -> (!FHE.eint<2>)
"FHE.mul_eint"(%a, %b): (!FHE.eint<3>, !FHE.eint<3>) -> (!FHE.eint<3>)
"FHE.mul_eint"(%a, %b): (!FHE.esint<3>, !FHE.esint<3>) -> (!FHE.esint<3>)

// error
"FHE.mul_eint"(%a, %b): (!FHE.eint<2>, !FHE.eint<3>) -> (!FHE.eint<2>)
"FHE.mul_eint"(%a, %b): (!FHE.eint<2>, !FHE.eint<2>) -> (!FHE.eint<3>)
"FHE.mul_eint"(%a, %b): (!FHE.eint<2>, !FHE.eint<2>) -> (!FHE.esint<2>)
"FHE.mul_eint"(%a, %b): (!FHE.esint<2>, !FHE.eint<2>) -> (!FHE.eint<2>)

Traits: AlwaysSpeculatableImplTrait

Interfaces: BinaryEint, ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface)

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
rhs
lhs

Results:

Result	Description
«unnamed»

FHE.mux (::mlir::concretelang::FHE::MuxOp)

Multiplexer for two encrypted boolean inputs, based on an encrypted condition

Example:

"FHE.mux"(%cond, %c1, %c2): (!FHE.ebool, !FHE.ebool, !FHE.ebool) -> (!FHE.ebool)

Traits: AlwaysSpeculatableImplTrait

Interfaces: ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface)

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
cond	An encrypted boolean
c1	An encrypted boolean
c2	An encrypted boolean

Results:

Result	Description
«unnamed»	An encrypted boolean

FHE.neg_eint (::mlir::concretelang::FHE::NegEintOp)

Negates an encrypted integer

The result must have the same width and the same signedness as the encrypted integer.

Example:

// ok
"FHE.neg_eint"(%a): (!FHE.eint<2>) -> (!FHE.eint<2>)
"FHE.neg_eint"(%a): (!FHE.esint<2>) -> (!FHE.esint<2>)

// error
"FHE.neg_eint"(%a): (!FHE.eint<2>) -> (!FHE.eint<3>)
"FHE.neg_eint"(%a): (!FHE.eint<2>) -> (!FHE.esint<2>)

Traits: AlwaysSpeculatableImplTrait

Interfaces: AdditiveNoise, ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface), UnaryEint

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
a

Results:

Result	Description
«unnamed»

FHE.reinterpret_precision (::mlir::concretelang::FHE::ReinterpretPrecisionEintOp)

Reinterpret the ciphertext with a different precision.

Changing the precision of a ciphertext. It changes both the precision, the value, and in certain cases the correctness of the ciphertext.

Changing to - a bigger precision is always safe. This is equivalent to a shift left for the value. - a smaller precision is only safe if you clear the lowest bits that are discarded. If not, you can assume small errors on the next TLU. This is equivalent to a shift right for the value.

Example:

 // assuming %a is stored as 4bits but can be stored with only 2bits
 // we can reduce its storage precision
 %shifted_a = "FHE.mul_eint_int"(%a, %c_4): (!FHE.eint<4>) -> (!FHE.eint<4>)
 %a_small_precision = "FHE.reinterpret_precision"(%shifted_a, %lsb) : (!FHE.eint<4>) -> (!FHE.eint<2>)

Traits: AlwaysSpeculatableImplTrait

Interfaces: ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface), UnaryEint

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
input

Results:

Result	Description
«unnamed»

FHE.round (::mlir::concretelang::FHE::RoundEintOp)

Rounds a ciphertext to a smaller precision.

Assuming a ciphertext whose message is implemented over p bits, this operation rounds it to fit to q bits with p>q.

Example:

 // ok
 "FHE.round"(%a): (!FHE.eint<6>) -> (!FHE.eint<5>)
 "FHE.round"(%a): (!FHE.eint<5>) -> (!FHE.eint<3>)
 "FHE.round"(%a): (!FHE.eint<3>) -> (!FHE.eint<2>)
 "FHE.round"(%a): (!FHE.esint<3>) -> (!FHE.esint<2>)

// error
 "FHE.round"(%a): (!FHE.eint<6>) -> (!FHE.eint<6>)
 "FHE.round"(%a): (!FHE.eint<4>) -> (!FHE.eint<5>)
 "FHE.round"(%a): (!FHE.eint<4>) -> (!FHE.esint<5>)

Traits: AlwaysSpeculatableImplTrait

Interfaces: ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface), UnaryEint

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
input

Results:

Result	Description
«unnamed»

FHE.sub_eint_int (::mlir::concretelang::FHE::SubEintIntOp)

Subtract a clear integer from an encrypted integer

The clear integer must have one more bit than the encrypted integer and the result must have the same width and the same signedness as the encrypted integer.

Example:

// ok
"FHE.sub_eint_int"(%i, %a) : (!FHE.eint<2>, i3) -> !FHE.eint<2>
"FHE.sub_eint_int"(%i, %a) : (!FHE.esint<2>, i3) -> !FHE.esint<2>

// error
"FHE.sub_eint_int"(%i, %a) : (!FHE.eint<2>, i4) -> !FHE.eint<2>
"FHE.sub_eint_int"(%i, %a) : (!FHE.eint<2>, i3) -> !FHE.eint<3>
"FHE.sub_eint_int"(%i, %a) : (!FHE.eint<2>, i3) -> !FHE.esint<2>

Traits: AlwaysSpeculatableImplTrait

Interfaces: AdditiveNoise, Binary, BinaryEintInt, ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface)

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
a
b	integer

Results:

Result	Description
«unnamed»

FHE.sub_eint (::mlir::concretelang::FHE::SubEintOp)

Subtract an encrypted integer from an encrypted integer

The encrypted integers and the result must have the same width and the same signedness.

Example:

// ok
"FHE.sub_eint"(%a, %b): (!FHE.eint<2>, !FHE.eint<2>) -> (!FHE.eint<2>)
"FHE.sub_eint"(%a, %b): (!FHE.esint<2>, !FHE.esint<2>) -> (!FHE.esint<2>)

// error
"FHE.sub_eint"(%a, %b): (!FHE.eint<2>, !FHE.eint<3>) -> (!FHE.eint<2>)
"FHE.sub_eint"(%a, %b): (!FHE.eint<2>, !FHE.eint<2>) -> (!FHE.eint<3>)
"FHE.sub_eint"(%a, %b): (!FHE.eint<2>, !FHE.esint<2>) -> (!FHE.esint<2>)
"FHE.sub_eint"(%a, %b): (!FHE.eint<2>, !FHE.eint<2>) -> (!FHE.esint<2>)

Traits: AlwaysSpeculatableImplTrait

Interfaces: AdditiveNoise, BinaryEint, ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface)

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
a
b

Results:

Result	Description
«unnamed»

FHE.sub_int_eint (::mlir::concretelang::FHE::SubIntEintOp)

Subtract an encrypted integer from a clear integer

The clear integer must have one more bit than the encrypted integer and the result must have the same width and the same signedness as the encrypted integer.

Example:

// ok
"FHE.sub_int_eint"(%i, %a) : (i3, !FHE.eint<2>) -> !FHE.eint<2>
"FHE.sub_int_eint"(%i, %a) : (i3, !FHE.esint<2>) -> !FHE.esint<2>

// error
"FHE.sub_int_eint"(%i, %a) : (i4, !FHE.eint<2>) -> !FHE.eint<2>
"FHE.sub_int_eint"(%i, %a) : (i3, !FHE.eint<2>) -> !FHE.eint<3>
"FHE.sub_int_eint"(%i, %a) : (i3, !FHE.eint<2>) -> !FHE.esint<2>

Traits: AlwaysSpeculatableImplTrait

Interfaces: AdditiveNoise, Binary, BinaryIntEint, ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface)

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
a	integer
b

Results:

Result	Description
«unnamed»

FHE.to_bool (::mlir::concretelang::FHE::ToBoolOp)

Cast an unsigned integer to a boolean

The input must be of width one or two. Two being the current representation of an encrypted boolean, leaving one bit for the carry.

Examples:

// ok
"FHE.to_bool"(%x) : (!FHE.eint<1>) -> !FHE.ebool
"FHE.to_bool"(%x) : (!FHE.eint<2>) -> !FHE.ebool

// error
"FHE.to_bool"(%x) : (!FHE.eint<3>) -> !FHE.ebool

Traits: AlwaysSpeculatableImplTrait

Interfaces: ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface), UnaryEint

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
input	An encrypted unsigned integer

Results:

Result	Description
«unnamed»	An encrypted boolean

FHE.to_signed (::mlir::concretelang::FHE::ToSignedOp)

Cast an unsigned integer to a signed one

The result must have the same width as the input.

The behavior is undefined on overflow/underflow.

Examples:

// ok
"FHE.to_signed"(%x) : (!FHE.eint<2>) -> !FHE.esint<2>

// error
"FHE.to_signed"(%x) : (!FHE.eint<2>) -> !FHE.esint<3>

Traits: AlwaysSpeculatableImplTrait

Interfaces: ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface), UnaryEint

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
input	An encrypted unsigned integer

Results:

Result	Description
«unnamed»	An encrypted signed integer

FHE.to_unsigned (::mlir::concretelang::FHE::ToUnsignedOp)

Cast a signed integer to an unsigned one

The result must have the same width as the input.

The behavior is undefined on overflow/underflow.

Examples:

// ok
"FHE.to_unsigned"(%x) : (!FHE.esint<2>) -> !FHE.eint<2>

// error
"FHE.to_unsigned"(%x) : (!FHE.esint<2>) -> !FHE.eint<3>

Traits: AlwaysSpeculatableImplTrait

Interfaces: ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface), UnaryEint

Effects: MemoryEffects::Effect{}

Operands:

Operand	Description
input	An encrypted signed integer

Results:

Result	Description
«unnamed»	An encrypted unsigned integer

FHE.zero (::mlir::concretelang::FHE::ZeroEintOp)

Returns a trivial encrypted integer of 0

Example:

"FHE.zero"() : () -> !FHE.eint<2>
"FHE.zero"() : () -> !FHE.esint<2>

Traits: AlwaysSpeculatableImplTrait

Interfaces: ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface), ZeroNoise

Effects: MemoryEffects::Effect{}

Results:

Result	Description
out

FHE.zero_tensor (::mlir::concretelang::FHE::ZeroTensorOp)

Creates a new tensor with all elements initialized to an encrypted zero.

Creates a new tensor with the shape specified in the result type and initializes its elements with an encrypted zero.

Example:

%tensor = "FHE.zero_tensor"() : () -> tensor<5x!FHE.eint<4>>
%tensor = "FHE.zero_tensor"() : () -> tensor<5x!FHE.esint<4>>

Traits: AlwaysSpeculatableImplTrait

Interfaces: ConditionallySpeculatable, NoMemoryEffect (MemoryEffectOpInterface), ZeroNoise

Effects: MemoryEffects::Effect{}

Results:

Result	Description
tensor

Attribute definition

PartitionAttr

An attribute representing a partition.

Syntax:

#FHE.partition<
  StringAttr,   # name
  uint64_t,   # lweDim
  uint64_t,   # glweDim
  uint64_t,   # polySize
  uint64_t,   # pbsBaseLog
  uint64_t   # pbsLevel
>

Parameters:

Parameter	C++ type	Description
name	StringAttr
lweDim	uint64_t
glweDim	uint64_t
polySize	uint64_t
pbsBaseLog	uint64_t
pbsLevel	uint64_t

Type definition

EncryptedBooleanType

An encrypted boolean

Syntax: !FHE.ebool

An encrypted boolean.

EncryptedSignedIntegerType

An encrypted signed integer

An encrypted signed integer with width bits to performs FHE Operations.

Examples:

!FHE.esint<7>
!FHE.esint<6>

Parameters:

Parameter	C++ type	Description
width	unsigned

EncryptedUnsignedIntegerType

An encrypted unsigned integer

An encrypted unsigned integer with width bits to performs FHE Operations.

Examples:

!FHE.eint<7>
!FHE.eint<6>

Parameters:

Parameter	C++ type	Description
width	unsigned