43 if (
a.is_constant() &&
b.is_constant()) {
47 a_native.
get_msb(), num_bits - 1,
"field_t: Left operand in logic gate exceeds specified bit length");
49 b_native.
get_msb(), num_bits - 1,
"field_t: Right operand in logic gate exceeds specified bit length");
51 uint256_t result_native = is_xor_gate ? (a_native ^ b_native) : (a_native & b_native);
57 if (
a.is_constant() && !
b.is_constant()) {
61 return create_logic_constraint(a_witness,
b, num_bits, is_xor_gate, get_chunk);
64 if (!
a.is_constant() &&
b.is_constant()) {
68 return create_logic_constraint(
a, b_witness, num_bits, is_xor_gate, get_chunk);
78 const size_t num_chunks = (num_bits / 32) + ((num_bits % 32 == 0) ? 0 : 1);
86 for (
size_t i = 0; i < num_chunks; ++i) {
87 size_t chunk_size = (i != num_chunks - 1) ? 32 : num_bits - i * 32;
88 auto [left_chunk, right_chunk] = get_chunk(left, right, chunk_size);
95 auto scaling_factor =
uint256_t(1) << (32 * i);
96 a_accumulator += a_chunk * scaling_factor;
97 b_accumulator += b_chunk * scaling_factor;
99 if (chunk_size != 32) {
105 res += result_chunk * scaling_factor;
111 a.assert_equal(a_accumulator,
"stdlib logic: failed to reconstruct left operand");
112 b.assert_equal(b_accumulator,
"stdlib logic: failed to reconstruct right operand");
static field_pt create_logic_constraint(field_pt &a, field_pt &b, size_t num_bits, bool is_xor_gate, const std::function< std::pair< uint256_t, uint256_t >(uint256_t, uint256_t, size_t)> &get_chunk=[](uint256_t left, uint256_t right, size_t chunk_size) { uint256_t left_chunk=left &((uint256_t(1)<< chunk_size) - 1);uint256_t right_chunk=right &((uint256_t(1)<< chunk_size) - 1);return std::make_pair(left_chunk, right_chunk);})
A logical AND or XOR over a variable number of bits.