`GF2::Matrix` — Logical Op Operators()

Methods to perform element-by-element binary AND, XOR, OR, +, -, * between two equal sized bit-matrices.

template<std::unsigned_integral Block, typename Alloc>
constexpr GF2::Matrix<Block, Alloc>
operator&(const GF2::Matrix<Block, Alloc> &lhs, const GF2::Matrix<Block, Alloc> &rhs);    (1)
operator^(const GF2::Matrix<Block, Alloc> &lhs, const GF2::Matrix<Block, Alloc> &rhs);    (2)
operator|(const GF2::Matrix<Block, Alloc> &lhs, const GF2::Matrix<Block, Alloc> &rhs);    (3)
operator+(const GF2::Matrix<Block, Alloc> &lhs, const GF2::Matrix<Block, Alloc> &rhs);    (4)
operator-(const GF2::Matrix<Block, Alloc> &lhs, const GF2::Matrix<Block, Alloc> &rhs);    (5)
operator*(const GF2::Matrix<Block, Alloc> &lhs, const GF2::Matrix<Block, Alloc> &rhs);    (6)

1	Returns a bit-matrix whose bits are the result of binary AND between the corresponding pairs of bits of `rhs` and `lhs`.
2	Returns a bit-matrix whose bits are the result of binary XOR between the corresponding pairs of bits of `rhs` and `lhs`.
3	Returns a bit-matrix whose bits are the result of binary OR between the corresponding pairs of bits of `rhs` and `lhs`.
4	Returns a bit-matrix whose bits are the result of binary XOR between the corresponding pairs of bits of `rhs` and `lhs`. In GF(2) addition corresponds to XOR.
5	Returns a bit-matrix whose bits are the result of binary XOR between the corresponding pairs of bits of `rhs` and `lhs`. In GF(2) subtraction corresponds to XOR.
6	Returns a bit-matrix whose bits are the result of binary AND between the corresponding pairs of bits of `rhs` and `lhs`. In GF(2) multiplication corresponds to AND.

The two bit-matrices in question must be of the same size. If the GF2_DEBUG flag is set at compile time this is checked and any violation will cause the program to abort with a helpful message.

Example

#include <GF2/GF2.h>
int main()
{
    GF2::Matrix<> m1(4,[](std::size_t i, std::size_t j) { return (i + j) % 2; });
    auto m2 = GF2::Matrix<>::ones(4);

    std::cout << "m1:\n" << m1  << '\n';
    std::cout << "m2:\n" << m2  << '\n';
    std::cout << "m1 & m2:\n" << (m1 & m2) << '\n';
    std::cout << "m1 | m2:\n" << (m1 | m2) << '\n';
    std::cout << "m1 ^ m2:\n" << (m1 ^ m2) << '\n';
}

Output

GF2::Matrix — Logical Op Operators()

`GF2::Matrix` — Logical Op Operators()