If a field family belongs to the CHAR2 realm, then the API provides these additional functions:

    /* Behaves differently from set(): implements the reverse counting
       map from [0..#K-1] -> K. */
    void mpfq_TAG_set_uipoly(mpfq_TAG_dst_field, mpfq_TAG_dst_elt, unsigned long);
    void mpfq_TAG_set_uipoly_wide(mpfq_TAG_dst_field, mpfq_TAG_dst_elt, const unsigned long *, unsigned int );
    unsigned long mpfq_TAG_get_uipoly(mpfq_TAG_dst_field, mpfq_TAG_src_elt);
    void mpfq_TAG_get_uipoly_wide(mpfq_TAG_dst_field, unsigned long *, mpfq_TAG_src_elt);

    /* Arithmetic with uipoly elements */
    void mpfq_TAG_add_uipoly(mpfq_TAG_dst_field, mpfq_TAG_dst_elt, mpfq_TAG_src_elt, unsigned long);
    void mpfq_TAG_sub_uipoly(mpfq_TAG_dst_field, mpfq_TAG_dst_elt, mpfq_TAG_src_elt, unsigned long);
    void mpfq_TAG_mul_uipoly(mpfq_TAG_dst_field, mpfq_TAG_dst_elt, mpfq_TAG_src_elt, unsigned long);

    /* Artin Schreier equations: x^p-x = a. Undefined behaviour if
       Tr(a) is not 0. */
    void mpfq_TAG_as_solve(mpfq_TAG_dst_field, mpfq_TAG_dst_elt, mpfq_TAG_src_elt);
    unsigned long mpfq_TAG_trace(mpfq_TAG_dst_field, mpfq_TAG_src_elt);