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MonadLaws.java
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67 lines (58 loc) · 3.02 KB
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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.io.IO;
import com.jnape.palatable.lambda.monad.Monad;
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 com.jnape.palatable.lambda.monad.Monad.join;
import static java.util.Arrays.asList;
public class MonadLaws<M extends Monad<?, M>> implements EquivalenceTrait<Monad<?, M>> {
@Override
public Class<? super Monad<?, ?>> type() {
return Monad.class;
}
@Override
public void test(Equivalence<Monad<?, M>> equivalence) {
Present.<String>present((x, y) -> x + "\n\t - " + y)
.<Fn1<Equivalence<Monad<?, M>>, Maybe<String>>>foldMap(f -> f.apply(equivalence), asList(
this::testLeftIdentity,
this::testRightIdentity,
this::testAssociativity,
this::testJoin))
.match(IO::io,
s -> throwing(new AssertionError("The following Monad laws did not hold for instance of " +
equivalence + ": \n\t - " + s)))
.unsafePerformIO();
}
private Maybe<String> testLeftIdentity(Equivalence<Monad<?, M>> equivalence) {
Object a = new Object();
return equivalence.invMap(m -> m.pure(a.hashCode()))
.equals(equivalence.invMap(m -> m.pure(a.hashCode())))
? nothing()
: just("left identity (m.pure(a).flatMap(fn).equals(fn.apply(a)))");
}
private Maybe<String> testRightIdentity(Equivalence<Monad<?, M>> equivalence) {
return equivalence.invMap(m -> m.flatMap(m::pure)).equals(equivalence)
? nothing()
: just("right identity: (m.flatMap(m::pure).equals(m))");
}
private Maybe<String> testAssociativity(Equivalence<Monad<?, M>> equivalence) {
Object a = new Object();
Object b = new Object();
return equivalence.invMap(m -> m.flatMap(constantly(m.pure(a))).flatMap(constantly(m.pure(b))))
.equals(equivalence.invMap(m -> m.flatMap(__ -> m.pure(a).flatMap(constantly(m.pure(b))))))
? nothing()
: just("associativity: (m.flatMap(f).flatMap(g).equals(m.flatMap(a -> f.apply(a).flatMap(g))))");
}
private Maybe<String> testJoin(Equivalence<Monad<?, M>> equivalence) {
return equivalence.invMap(m -> m.pure(m).flatMap(id()))
.equals(equivalence.invMap(m -> join(m.pure(m))))
? nothing()
: just("join: (m.pure(m).flatMap(id())).equals(Monad.join(m.pure(m)))");
}
}