use of catdata.fqlpp.FunctorExp.Case in project fql by CategoricalData.
the class PPParser method toFtr.
private static FunctorExp toFtr(Object o) {
try {
Tuple5 p = (Tuple5) o;
if (p.a.toString().equals("apply")) {
FunctorExp f = toFtr(p.b);
FunctorExp e = toFtr(p.e);
return new Apply(f, e);
}
if (p.e.toString().equals("Set")) {
return p.c.toString().equals("Set") ? toSetSet(o) : toInstConst(o);
} else if (p.e.toString().equals("Cat")) {
return toCatFtrConst(o);
} else {
if (p.e instanceof Tuple3) {
Tuple3 t = (Tuple3) p.e;
if ((t.a.toString().equals("Cat") || t.a.toString().equals("Set")) && t.b.toString().equals("^")) {
return toFinalConst(o);
} else {
throw new RuntimeException();
}
}
return toMapConst(o);
}
} catch (Exception e) {
}
try {
Tuple3 p = (Tuple3) o;
Object p2 = p.b;
Object p3 = p.c;
Object o1 = p.a;
String p1 = p.a.toString();
if (p1.equals("fst")) {
return new Fst(toCat(p2), toCat(p3));
} else if (p1.equals("snd")) {
return new Snd(toCat(p2), toCat(p3));
} else if (p1.equals("inl")) {
return new Inl(toCat(p2), toCat(p3));
} else if (p1.equals("inr")) {
return new Inr(toCat(p2), toCat(p3));
} else if (p1.equals("iso1")) {
return new Iso(true, toCat(p2), toCat(p3));
} else if (p1.equals("iso2")) {
return new Iso(false, toCat(p2), toCat(p3));
} else if (p1.equals("eval")) {
return new Eval(toCat(p2), toCat(p3));
} else if (p2.toString().equals(";")) {
return new Comp(toFtr(o1), toFtr(p3));
} else if (p2.toString().equals("*")) {
return new Prod(toFtr(o1), toFtr(p3));
} else if (p2.toString().equals("+")) {
return new Case(toFtr(o1), toFtr(p3));
} else if (p2.toString().equals("^")) {
return new Exp(toFtr(o1), toFtr(p3));
} else if (p1.equals("unit")) {
return new One(toCat(p.b), toCat(p.c));
} else if (p1.equals("void")) {
return new Zero(toCat(p.b), toCat(p.c));
} else if (p1.equals("pushout")) {
return new Pushout(p.b.toString(), p.c.toString());
}
} catch (RuntimeException re) {
}
try {
org.jparsec.functors.Pair p = (org.jparsec.functors.Pair) o;
String p1 = p.a.toString();
Object p2 = p.b;
switch(p1) {
case "id":
return new Id(toCat(p2));
case "prop":
return new Prop(toCat(p2));
case "curry":
return new Curry(toFtr(p2));
case "uncurry":
return new Uncurry(toFtr(p2));
case "delta":
case "sigma":
case "pi":
return new Migrate(toFtr(p2), p1);
case "ff":
return new FF(toCat(p2));
case "tt":
return new TT(toCat(p2));
case "dom":
return new Dom(p2.toString(), true);
case "cod":
return new Dom(p2.toString(), false);
case "pivot":
return new Pivot(toFtr(p2), true);
case "unpivot":
return new Pivot(toFtr(p2), false);
default:
break;
}
} catch (RuntimeException re) {
}
if (o instanceof String) {
return new Var(o.toString());
}
throw new RuntimeException("Bad: " + o);
}
use of catdata.fqlpp.FunctorExp.Case in project fql by CategoricalData.
the class CatOps method visit.
@Override
public Functor visit(FQLPPProgram env, Pushout e) {
Transform l = ENV.trans.get(e.l);
if (l == null) {
throw new RuntimeException("Missing transform: " + e.l);
}
Transform r = ENV.trans.get(e.r);
if (r == null) {
throw new RuntimeException("Missing transform: " + e.r);
}
if (!l.source.equals(r.source)) {
throw new RuntimeException("Source functors do not match.");
}
Category<Object, Object> D = l.source.source;
Set<String> objects = new HashSet<>();
objects.add("A");
objects.add("B");
objects.add("C");
Set<String> arrows = new HashSet<>();
arrows.add("f");
arrows.add("g");
arrows.add("a");
arrows.add("b");
arrows.add("c");
Map<String, String> sources = new HashMap<>();
sources.put("f", "A");
sources.put("g", "A");
sources.put("a", "A");
sources.put("b", "B");
sources.put("c", "C");
Map<String, String> targets = new HashMap<>();
targets.put("f", "B");
targets.put("g", "C");
targets.put("a", "A");
targets.put("b", "B");
targets.put("c", "C");
Map<Pair<String, String>, String> composition = new HashMap<>();
composition.put(new Pair<>("a", "a"), "a");
composition.put(new Pair<>("b", "b"), "b");
composition.put(new Pair<>("c", "c"), "c");
composition.put(new Pair<>("a", "f"), "f");
composition.put(new Pair<>("a", "g"), "g");
composition.put(new Pair<>("f", "b"), "f");
composition.put(new Pair<>("g", "c"), "g");
Map<String, String> identities = new HashMap<>();
identities.put("A", "a");
identities.put("B", "b");
identities.put("C", "c");
Category<String, String> span = new FiniteCategory<>(objects, arrows, sources, targets, composition, identities);
Category<Pair<Object, String>, Pair<Object, String>> Dspan = FinCat.product(D, span);
Functor<Pair<Object, String>, Pair<Object, String>, Object, Object> fst = FinCat.first(D, span);
FUNCTION<Pair<Object, String>, Set> o = p -> {
switch(p.second) {
case "A":
return (Set) l.source.applyO(p.first);
case "B":
return (Set) l.target.applyO(p.first);
case "C":
return (Set) r.target.applyO(p.first);
default:
throw new RuntimeException();
}
};
FUNCTION<Pair<Object, String>, Fn> x = fp -> {
Object f = fp.first;
String p = fp.second;
Object a = D.source(f);
// Object b = D.target(f);
// String i = span.source(p);
String j = span.target(p);
// Functor I = i == "A" ? l.source : i == "B" ? l.target : r.target;
Functor J = Objects.equals(j, "A") ? l.source : Objects.equals(j, "B") ? l.target : r.target;
// Fn If = (Fn) I.applyA(f);
Fn Jf = (Fn) J.applyA(f);
Transform P = Objects.equals(p, "f") ? l : Objects.equals(p, "g") ? r : Objects.equals(p, "a") ? Transform.id(l.source) : Objects.equals(p, "b") ? Transform.id(l.target) : Transform.id(r.target);
// Fn Pb = (Fn) P.apply(b);
Fn Pa = (Fn) P.apply(a);
return Fn.compose(Pa, Jf);
};
Functor I = new Functor(Dspan, FinSet.FinSet0(), o, x);
return FDM.sigmaF(fst).applyO(I);
}
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