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FunctorLaws.java
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package testsupport.traits;
import com.jnape.palatable.lambda.adt.Maybe;
import com.jnape.palatable.lambda.functions.Fn1;
import com.jnape.palatable.lambda.functor.Functor;
import com.jnape.palatable.lambda.io.IO;
import com.jnape.palatable.lambda.monoid.builtin.Present;
import static com.jnape.palatable.lambda.adt.Maybe.just;
import static com.jnape.palatable.lambda.adt.Maybe.nothing;
import static com.jnape.palatable.lambda.functions.builtin.fn1.Constantly.constantly;
import static com.jnape.palatable.lambda.functions.builtin.fn1.Id.id;
import static com.jnape.palatable.lambda.io.IO.throwing;
import static java.util.Arrays.asList;
public class FunctorLaws<F extends Functor<?, F>> implements EquivalenceTrait<Functor<?, F>> {
@Override
public Class<? super Functor<?, F>> type() {
return Functor.class;
}
@Override
public void test(Equivalence<Functor<?, F>> equivalence) {
Present.<String>present((x, y) -> x + "\n\t - " + y)
.<Fn1<Equivalence<Functor<?, F>>, Maybe<String>>>foldMap(
fn -> fn.apply(equivalence),
asList(this::testIdentity,
this::testComposition))
.match(IO::io,
s -> throwing(new AssertionError("The following Functor laws did not hold for instance of " +
equivalence + ": \n\t - " + s)))
.unsafePerformIO();
}
private Maybe<String> testIdentity(Equivalence<Functor<?, F>> equivalence) {
return equivalence.invMap(f -> f.fmap(id())).equals(equivalence)
? nothing()
: just("identity (f.fmap(identity()).equals(f))");
}
private Maybe<String> testComposition(Equivalence<Functor<?, F>> equivalence) {
Fn1<Integer, Integer> g = x -> x * 3;
Fn1<Integer, Integer> h = x -> x - 2;
return equivalence.invMap(f -> f.fmap(constantly(1)).fmap(g).fmap(h))
.equals(equivalence.invMap(f -> f.fmap(constantly(1)).fmap(g.fmap(h))))
? nothing()
: just("composition (functor.fmap(f.contraMap(g)).equals(functor.fmap(g).fmap(f)))");
}
}