z.hh

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#pragma once

#include <ostream>
#include <string>

#include <vcsn/core/join.hh>
#include <vcsn/misc/functional.hh> // hash_value
#include <vcsn/misc/math.hh> // gcd
#include <vcsn/misc/raise.hh>
#include <vcsn/misc/star-status.hh>
#include <vcsn/misc/stream.hh>
#include <vcsn/misc/symbol.hh>
#include <vcsn/weightset/b.hh>
#include <vcsn/weightset/fwd.hh>

namespace vcsn
{
  namespace detail
  {
  class z_impl
  {
  public:
    using self_t = z;

    static symbol sname()
    {
      static symbol res("z");
      return res;
    }

    static z make(std::istream& is)
    {
      eat(is, sname());
      return {};
    }

    using value_t = int;

    static value_t
    zero()
    {
      return 0;
    }

    static value_t
    one()
    {
      return 1;
    }

    static value_t
    add(const value_t l, const value_t r)
    {
      return l + r;
    }

    static value_t
    sub(const value_t l, const value_t r)
    {
      return l - r;
    }

    static value_t
    mul(const value_t l, const value_t r)
    {
      return l * r;
    }

    static value_t
    lgcd(const value_t l, const value_t r)
    {
      require(!is_zero(l), sname(), ": lgcd: invalid lhs: zero");
      require(!is_zero(r), sname(), ": lgcd: invalid rhs: zero");
      return detail::gcd(l, r);
    }

    static value_t
    rgcd(const value_t l, const value_t r)
    {
      return lgcd(l, r);
    }

    static value_t
    rdiv(const value_t l, const value_t r)
    {
      require(!is_zero(r), "div: division by zero");
      require(!(l % r),
              "z: div: invalid division: ", l, '/', r);
      return l / r;
    }

    static value_t
    ldiv(const value_t l, const value_t r)
    {
      return rdiv(r, l);
    }

    value_t
    star(const value_t v) const
    {
      if (is_zero(v))
        return one();
      else
        raise("z: star: invalid value: ", to_string(*this, v));
    }

    constexpr static bool is_special(value_t)
    {
      return false;
    }

    static bool
    is_zero(const value_t v)
    {
      return v == 0;
    }

    static bool
    is_one(const value_t v)
    {
      return v == 1;
    }

    static bool
    equal(const value_t l, const value_t r)
    {
      return l == r;
    }

    static bool less(value_t lhs, value_t rhs)
    {
      return lhs < rhs;
    }

    static constexpr bool is_commutative() { return true; }
    static constexpr bool is_idempotent() { return false; }

    static constexpr bool show_one() { return false; }
    static constexpr star_status_t star_status() { return star_status_t::NON_STARRABLE; }

    static value_t
    transpose(const value_t v)
    {
      return v;
    }

    static size_t hash(value_t v)
    {
      return hash_value(v);
    }

    static value_t
    conv(self_t, value_t v)
    {
      return v;
    }

    static value_t
    conv(b, b::value_t v)
    {
      // Conversion from bool to int.
      return v;
    }

    static value_t
    conv(std::istream& is, bool = true)
    {
      int res;
      if (is >> res)
        return res;
      else
        vcsn::fail_reading(is, sname(), ": invalid value");
     }

    static std::ostream&
    print(const value_t v, std::ostream& o,
          format = {})
    {
      return o << v;
    }

    std::ostream&
    print_set(std::ostream& o, format fmt = {}) const
    {
      if (fmt == format::latex)
        o << "\\mathbb{Z}";
      else if (fmt == format::text)
        o << sname();
      else
        raise("invalid format: ", fmt);
      return o;
    }
  };

    /*-------.
    | join.  |
    `-------*/

    VCSN_JOIN_SIMPLE(b, z);
    VCSN_JOIN_SIMPLE(z, z);
  }

}