How can I get the Legacy Bitcoin Address from the ec_private without using HD Keys. My code is as follows and I am quite struggling to use libbitcoin documentation.

#include <bitcoin/system.hpp>

using namespace bc;
using namespace std;

int main()
{
    data_chunk seed(16);
    pseudo_random_fill(seed);

    ec_secret secretKey = bitcoin_hash(seed);
    wallet::ec_private wif(secretKey, 0x8000, true);

    // I'm not sure, the following method is correct or not?
    string legacyAddress = wif.to_payment_address().encoded();

   // How to get the segwit address?
    ...

    return 0;
}