Beispiel #1
0
  private Triple<Category, Category, Mapping<String, String, String, String>> toMapping(
      FQLProgram env, MapConst ic) {
    CatExp src0 = resolve(env, ic.src);
    if (src0 == null) {
      throw new RuntimeException("Missing category: " + ic.src);
    }
    if (!(src0 instanceof Const)) {
      throw new RuntimeException("Can only create mappings for finitely-presented categories.");
    }
    Const src = (Const) src0;

    CatExp dst0 = resolve(env, ic.dst);
    if (!(dst0 instanceof Const)) {
      throw new RuntimeException("Can only create mappings for finitely-presented categories.");
    }
    Const dst = (Const) dst0;

    Category srcX = src.accept(env, this);
    Category dstX = dst.accept(env, this);

    Signature<String, String> srcY = new Signature<>(src.nodes, src.arrows, src.eqs);
    Signature<String, String> dstY = new Signature<>(dst.nodes, dst.arrows, dst.eqs);

    Map<Node, Node> nm = new HashMap<>();
    for (String n0 : ic.nm.keySet()) {
      Signature<String, String>.Node n = srcY.getNode(n0);
      String v = ic.nm.get(n.name);
      if (v == null) {
        throw new RuntimeException("Missing object mapping for " + n.name);
      }
      nm.put(n, dstY.getNode(v));
    }
    Map<Edge, Path> em = new HashMap<>();
    for (String n0 : ic.em.keySet()) {
      Signature<String, String>.Edge n = srcY.getEdge(n0);
      Pair<String, List<String>> k = ic.em.get(n.name);
      if (k == null) {
        throw new RuntimeException("Missing arrow mapping for " + n.name);
      }
      em.put(n, dstY.path(k.first, k.second));
    }

    Mapping<String, String, String, String> I = new Mapping(nm, em, srcY, dstY);

    return new Triple<>(srcX, dstX, I);
  }
Beispiel #2
0
  public Pair<Category, Instance<String, String>> toInstance(FQLProgram env, InstConst ic) {
    CatExp e = resolve(env, ic.sig);
    if (!(e instanceof Const)) {
      throw new RuntimeException("Can only create instances for finitely-presented categories.");
    }
    Const c = (Const) e;

    Category src = c.accept(env, this);
    Signature<String, String> sig = new Signature<>(c.nodes, c.arrows, c.eqs);

    Map<Node, Set> nm = new HashMap<>();
    for (String n0 : ic.nm.keySet()) {
      Node n = sig.getNode(n0);
      SetExp kkk = ic.nm.get(n.name);
      if (kkk == null) {
        throw new RuntimeException("Missing node mapping from " + n);
      }
      nm.put(n, kkk.accept(env, new SetOps(ENV)));
    }
    Map<Edge, Map> em = new HashMap<>();
    for (String n0 : ic.em.keySet()) {
      Edge n = sig.getEdge(n0);
      Chc<FnExp, SetExp> chc = ic.em.get(n.name);
      if (chc == null) {
        throw new RuntimeException("Missing edge mapping from " + n);
      }
      if (chc.left) {
        FnExp kkk = chc.l;
        em.put(n, kkk.accept(env, new SetOps(ENV)).toMap());
      } else {
        SetExp sss = chc.r;
        Set vvv = sss.accept(env, new SetOps(ENV));
        Map<Object, Object> uuu = new HashMap<>();
        for (Object o : vvv) {
          if (!(o instanceof Pair)) {
            throw new RuntimeException("Not a pair: " + o);
          }
          Pair oo = (Pair) o;
          if (uuu.containsKey(oo.first)) {
            throw new RuntimeException("Duplicate domain entry: " + o + " in " + ic);
          }
          uuu.put(oo.first, oo.second);
        }
        FnExp kkk =
            new FnExp.Const(x -> uuu.get(x), ic.nm.get(n.source.name), ic.nm.get(n.target.name));
        em.put(n, kkk.accept(env, new SetOps(ENV)).toMap());
      }
    }

    return new Pair<>(src, new Instance(nm, em, sig));
  }
Beispiel #3
0
  @Override
  public Functor visit(FQLProgram env, FinalConst ic) {
    CatExp e = resolve(env, ic.src);
    if (!(e instanceof Const)) {
      throw new RuntimeException("Can only create functors from finitely-presented categories.");
    }
    Const c = (Const) e;

    Category cat = c.accept(env, this);
    Signature<String, String> sig = new Signature<>(c.nodes, c.arrows, c.eqs);

    Category target = ic.C.accept(env, this);

    Map<Node, Functor> nm = new HashMap<>();
    for (Node n : sig.nodes) {
      FunctorExp kkk = ic.nm.get(n.name);
      if (kkk == null) {
        throw new RuntimeException("Missing node mapping from " + n);
      }
      Functor F = kkk.accept(env, this);
      nm.put(n, F);
    }
    Map<Edge, Transform> em = new HashMap<>();
    for (Edge n : sig.edges) {
      TransExp chc = ic.em.get(n.name);
      if (chc == null) {
        throw new RuntimeException("Missing edge mapping from " + n);
      }
      em.put(n, chc.accept(env, this));
    }

    FUNCTION fff =
        p0 -> {
          Path p = (Path) p0;
          Object fn = target.identity(nm.get(p.source));
          for (Object nnn : p.path) {
            Edge n = (Edge) nnn;
            fn = target.compose(fn, em.get(n));
          }
          return fn;
        };

    return new Functor<>(cat, target, x -> nm.get(x), fff);
  }