package fj.test; import static fj.Function.curry; import static fj.Function.compose2; import static fj.P.p; import fj.*; import static fj.P2.__2; import fj.data.List; import fj.data.Option; import static fj.data.Option.none; import fj.data.Stream; import static fj.test.Arg.arg; import static fj.test.CheckResult.exhausted; import static fj.test.CheckResult.falsified; import static fj.test.CheckResult.genException; import static fj.test.CheckResult.passed; import static fj.test.CheckResult.propException; import static fj.test.CheckResult.proven; import static fj.test.Result.noResult; import static java.lang.Math.round; /** * Represents an algebraic property about a program that may be {@link #check(Rand, int, int, int, * int) checked} for its truth value. For example, it is true that "for all integers (call it x) and * for all integers (call it y), then x + y is equivalent to y + x". This statement is a (algebraic) * property, proposition or theorem that, when checked, will at least (depending on arguments) fail * to be falsified — since there does not exist a counter-example to this statement. * * @version %build.number% */ public final class Property { private final F<Integer, F<Rand, Result>> f; private Property(final F<Integer, F<Rand, Result>> f) { this.f = f; } /** * Returns the result of applying the given size and random generator. * * @param i The size to use to obtain a result. * @param r The random generator to use to obtain a result. * @return The result of applying the given size and random generator. */ public Result prop(final int i, final Rand r) { return f.f(i).f(r); } /** * Returns a generator of results from this property. * * @return A generator of results from this property. */ public Gen<Result> gen() { return Gen.gen(i -> r -> f.f(i).f(r)); } /** * Performs a conjunction of this property with the given property. * * @param p The property to perform the conjunction with. * @return A conjunction of this property with the given property. */ public Property and(final Property p) { return fromGen(gen().bind(p.gen(), res1 -> res2 -> res1.isException() || res1.isFalsified() ? res1 : res2.isException() || res2.isFalsified() ? res2 : res1.isProven() || res1.isUnfalsified() ? res2 : res2.isProven() || res2.isUnfalsified() ? res1 : noResult())); } /** * Performs a disjunction of this property with the given property. * * @param p The property to perform the disjunction with. * @return A disjunction of this property with the given property. */ public Property or(final Property p) { return fromGen(gen().bind(p.gen(), res1 -> res2 -> res1.isException() || res1.isFalsified() ? res1 : res2.isException() || res2.isFalsified() ? res2 : res1.isProven() || res1.isUnfalsified() ? res1 : res2.isProven() || res2.isUnfalsified() ? res2 : noResult())); } /** * Performs a sequence of this property with the given property. The returned property holds if * and only if this property and the given property also hold. If one property does not hold, but * the other does, then the returned property will produce the same result and the property that * holds. * * @param p The property to sequence this property with. * @return A sequence of this property with the given property. */ public Property sequence(final Property p) { return fromGen(gen().bind(p.gen(), res1 -> res2 -> res1.isException() || res1.isProven() || res1.isUnfalsified() ? res1 : res2.isException() || res2.isProven() || res2.isUnfalsified() ? res2 : res1.isFalsified() ? res2 : res2.isFalsified() ? res1 : noResult())); } /** * Checks this property using the given arguments and produces a result. * * @param r The random generator to use for checking. * @param minSuccessful The minimum number of successful tests before a result is reached. * @param maxDiscarded The maximum number of tests discarded because they did not satisfy * pre-conditions (i.e. {@link #implies(boolean, F0)}). * @param minSize The minimum size to use for checking. * @param maxSize The maximum size to use for checking. * @return A result after checking this property. */ @SuppressWarnings("ThrowableResultOfMethodCallIgnored") public CheckResult check(final Rand r, final int minSuccessful, final int maxDiscarded, final int minSize, final int maxSize) { int s = 0; int d = 0; float sz = minSize; CheckResult res; while (true) { final float size = s == 0 && d == 0 ? minSize : sz + (maxSize - sz) / (minSuccessful - s); try { final Result x = f.f(round(size)).f(r); if (x.isNoResult()) if (d + 1 >= maxDiscarded) { res = exhausted(s, d + 1); break; } else { sz = size; d++; } else if (x.isProven()) { res = proven(x.args().some(), s + 1, d); break; } else if (x.isUnfalsified()) if (s + 1 >= minSuccessful) { res = passed(s + 1, d); break; } else { sz = size; s++; } else if (x.isFalsified()) { res = falsified(x.args().some(), s, d); break; } else if (x.isException()) { res = propException(x.args().some(), x.exception().some(), s, d); break; } } catch (final Throwable t) { res = genException(t, s, d); break; } } return res; } /** * Checks this property using a {@link Rand#standard standard random generator} and the given * arguments to produce a result. * * @param minSuccessful The minimum number of successful tests before a result is reached. * @param maxDiscarded The maximum number of tests discarded because they did not satisfy * pre-conditions (i.e. {@link #implies(boolean, F0)}). * @param minSize The minimum size to use for checking. * @param maxSize The maximum size to use for checking. * @return A result after checking this property. */ public CheckResult check(final int minSuccessful, final int maxDiscarded, final int minSize, final int maxSize) { return check(Rand.standard, minSuccessful, maxDiscarded, minSize, maxSize); } /** * Checks this property using the given random generator, 100 minimum successful checks, 500 * maximum discarded tests, minimum size of 0, maximum size of 100. * * @param r The random generator. * @return A result after checking this property. */ public CheckResult check(final Rand r) { return check(r, 100, 500, 0, 100); } /** * Checks this property using the given random generator, 100 minimum successful checks, 500 * maximum discarded tests, the given minimum size and the given maximum size. * * @param r The random generator. * @param minSize The minimum size to use for checking. * @param maxSize The maximum size to use for checking. * @return A result after checking this property. */ public CheckResult check(final Rand r, final int minSize, final int maxSize) { return check(r, 100, 500, minSize, maxSize); } /** * Checks this property using a {@link Rand#standard standard random generator}, 100 minimum * successful checks, 500 maximum discarded tests and the given arguments to produce a result. * * @param minSize The minimum size to use for checking. * @param maxSize The maximum size to use for checking. * @return A result after checking this property. */ public CheckResult check(final int minSize, final int maxSize) { return check(100, 500, minSize, maxSize); } /** * Checks this property using a {@link Rand#standard standard random generator}, 100 minimum * successful checks, 500 maximum discarded tests, minimum size of 0, maximum size of 100. * * @return A result after checking this property. */ public CheckResult check() { return check(0, 100); } /** * Checks this property using a {@link Rand#standard standard random generator}, the given minimum * successful checks, 500 maximum discarded tests, minimum size of 0, maximum size of 100. * * @param minSuccessful The minimum number of successful tests before a result is reached. * @return A result after checking this property. */ public CheckResult minSuccessful(final int minSuccessful) { return check(minSuccessful, 500, 0, 100); } /** * Checks this property using the given random generator, the given minimum * successful checks, 500 maximum discarded tests, minimum size of 0, maximum size of 100. * * @param r The random generator. * @param minSuccessful The minimum number of successful tests before a result is reached. * @return A result after checking this property. */ public CheckResult minSuccessful(final Rand r, final int minSuccessful) { return check(r, minSuccessful, 500, 0, 100); } /** * Checks this property using a {@link Rand#standard standard random generator}, 100 minimum * successful checks, the given maximum discarded tests, minimum size of 0, maximum size of 100. * * @param maxDiscarded The maximum number of tests discarded because they did not satisfy * pre-conditions (i.e. {@link #implies(boolean, F0)}). * @return A result after checking this property. */ public CheckResult maxDiscarded(final int maxDiscarded) { return check(100, maxDiscarded, 0, 100); } /** * Checks this property using a the given random generator}, 100 minimum * successful checks, the given maximum discarded tests, minimum size of 0, maximum size of 100. * * @param r The random generator. * @param maxDiscarded The maximum number of tests discarded because they did not satisfy * pre-conditions (i.e. {@link #implies(boolean, F0)}). * @return A result after checking this property. */ public CheckResult maxDiscarded(final Rand r, final int maxDiscarded) { return check(r, 100, maxDiscarded, 0, 100); } /** * Checks this property using a {@link Rand#standard standard random generator}, 100 minimum * successful checks, 500 maximum discarded tests, the given minimum size, maximum size of 100. * * @param minSize The minimum size to use for checking. * @return A result after checking this property. */ public CheckResult minSize(final int minSize) { return check(100, 500, minSize, 100); } /** * Checks this property using the given random generator, 100 minimum * successful checks, 500 maximum discarded tests, the given minimum size, maximum size of 100. * * @param r The random generator. * @param minSize The minimum size to use for checking. * @return A result after checking this property. */ public CheckResult minSize(final Rand r, final int minSize) { return check(r, 100, 500, minSize, 100); } /** * Checks this property using a {@link Rand#standard standard random generator}, 100 minimum * successful checks, 500 maximum discarded tests, minimum size of 0, the given maximum size. * * @param maxSize The maximum size to use for checking. * @return A result after checking this property. */ public CheckResult maxSize(final int maxSize) { return check(100, 500, 0, maxSize); } /** * Checks this property using the given random generator, 100 minimum * successful checks, 500 maximum discarded tests, minimum size of 0, the given maximum size. * * @param r The random generator. * @param maxSize The maximum size to use for checking. * @return A result after checking this property. */ public CheckResult maxSize(final Rand r, final int maxSize) { return check(r, 100, 500, 0, maxSize); } /** * Returns a property that produces a result only if the given condition satisfies. The result * will be taken from the given property. * * @param b The condition that, if satisfied, produces the given property. * @param p The property to return if the condition satisfies. * @return A property that produces a result only if the given condition satisfies. */ public static Property implies(final boolean b, final F0<Property> p) { return b ? p.f() : new Property(i -> r -> noResult()); } /** * Returns a property that produces a result only if the given condition satisfies. The result * will be taken from the given boolean b. */ public static Property impliesBoolean(final boolean a, final boolean b) { return implies(a, () -> prop(b)); } /** * Returns a property that produces a result only if the given condition satisfies. The result * will be taken from the given lazy boolean b. */ public static Property impliesBoolean(final boolean a, final F0<Boolean> b) { return implies(a, () -> prop(b.f())); } /** * Returns a property from the given function. * * @param f The function to construct the returned property with. * @return A property from the given function. */ public static Property prop(final F<Integer, F<Rand, Result>> f) { return new Property(f); } /** * Returns a property that always has the given result. * * @param r The result of the returned property. * @return A property that always has the given result. */ public static Property prop(final Result r) { return new Property(integer -> x -> r); } /** * Returns a property that is either proven (the given condition satsifies) or falsified * otherwise. * * @param b The condition that, if satisfied, returns a property that is proven; otherwise, the * property is falsified. * @return A property that is either proven (the given condition satsifies) or falsified * otherwise. */ public static Property prop(final boolean b) { return b ? prop(Result.proven(List.nil())) : prop(Result.falsified(List.nil())); } /** * Constructs a property from a generator of results. * * @param g The generator of results to constructor a property with. * @return A property from a generator of results. */ public static Property fromGen(final Gen<Result> g) { return prop(i -> r -> g.gen(i, r)); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. * * @param g The generator to produces values from to produce the property with. * @param shrink The shrink strategy to use upon falsification. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A> Property forall(final Gen<A> g, final Shrink<A> shrink, final F<A, P1<Property>> f) { return prop(i -> r -> { final class Util { @SuppressWarnings("IfMayBeConditional") Option<P2<A, Result>> first(final Stream<A> as, final int shrinks) { final Stream<Option<P2<A, Result>>> results = as.map(a -> { final Result result = exception(f.f(a)).prop(i, r); return result.toOption().map(result1 -> p(a, result1.provenAsUnfalsified().addArg(arg(a, shrinks)))); }); if (results.isEmpty()) return none(); else return results.find(this::failed).orSome(results::head); } public boolean failed(final Option<P2<A, Result>> o) { return o.isSome() && o.some()._2().failed(); } } final Util u = new Util(); Option<P2<A, Result>> x = u.first(Stream.single(g.gen(i, r)), 0); final F<P2<A, Result>, Result> __2 = __2(); if (u.failed(x)) { Option<Result> or; int shrinks = 0; do { shrinks++; or = x.map(__2); x = u.first(shrink.shrink(x.some()._1()), shrinks); } while (u.failed(x)); return noResult(or); } else return noResult(x.map(__2)); }); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. * * @param aa The arbitrrary to produces values from to produce the property with. * @param sa The shrink strategy to use upon falsification. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A> Property propertyP(final Gen<A> aa, final Shrink<A> sa, final F<A, P1<Property>> f) { return forall(aa, sa, f); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. * * @param aa The arbitrrary to produces values from to produce the property with. * @param sa The shrink strategy to use upon falsification. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A> Property property(final Gen<A> aa, final Shrink<A> sa, final F<A, Property> f) { return propertyP(aa, sa, P1.curry(f)); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. No shrinking occurs upon falsification. * * @param aa The arbitrrary to produces values from to produce the property with. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A> Property propertyP(final Gen<A> aa, final F<A, P1<Property>> f) { return propertyP(aa, Shrink.empty(), f); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. No shrinking occurs upon falsification. * * @param aa The arbitrrary to produces values from to produce the property with. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A> Property property(final Gen<A> aa, final F<A, Property> f) { return propertyP(aa, P1.curry(f)); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param sa The shrink strategy to use upon falsification. * @param sb The shrink strategy to use upon falsification. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B> Property propertyP(final Gen<A> aa, final Gen<B> ab, final Shrink<A> sa, final Shrink<B> sb, final F<A, F<B, P1<Property>>> f) { return property(aa, sa, a -> { return propertyP(ab, sb, b -> { return f.f(a).f(b); }); }); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param sa The shrink strategy to use upon falsification. * @param sb The shrink strategy to use upon falsification. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B> Property property(final Gen<A> aa, final Gen<B> ab, final Shrink<A> sa, final Shrink<B> sb, final F<A, F<B, Property>> f) { return propertyP(aa, ab, sa, sb, compose2(P.p1(), f)); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. No shrinking occurs upon falsification. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B> Property propertyP(final Gen<A> aa, final Gen<B> ab, final F<A, F<B, P1<Property>>> f) { return property(aa, a -> propertyP(ab, b -> f.f(a).f(b))); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. No shrinking occurs upon falsification. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B> Property property(final Gen<A> aa, final Gen<B> ab, final F<A, F<B, Property>> f) { return propertyP(aa, ab, compose2(P.p1(), f)); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param sa The shrink strategy to use upon falsification. * @param sb The shrink strategy to use upon falsification. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B> Property propertyP(final Gen<A> aa, final Gen<B> ab, final Shrink<A> sa, final Shrink<B> sb, final F2<A, B, P1<Property>> f) { return propertyP(aa, ab, sa, sb, curry(f)); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param sa The shrink strategy to use upon falsification. * @param sb The shrink strategy to use upon falsification. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B> Property property(final Gen<A> aa, final Gen<B> ab, final Shrink<A> sa, final Shrink<B> sb, final F2<A, B, Property> f) { return propertyP(aa, ab, sa, sb, compose2(P.p1(), curry(f))); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. No shrinking occurs upon falsification. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B> Property propertyP(final Gen<A> aa, final Gen<B> ab, final F2<A, B, P1<Property>> f) { return propertyP(aa, ab, curry(f)); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. No shrinking occurs upon falsification. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B> Property property(final Gen<A> aa, final Gen<B> ab, final F2<A, B, Property> f) { return propertyP(aa, ab, compose2(P.p1(), curry(f))); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param sa The shrink strategy to use upon falsification. * @param sb The shrink strategy to use upon falsification. * @param sc The shrink strategy to use upon falsification. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final Shrink<A> sa, final Shrink<B> sb, final Shrink<C> sc, final F<A, F<B, F<C, Property>>> f) { return property(aa, ab, sa, sb, a -> b -> property(ac, sc, c -> { return f.f(a).f(b).f(c); })); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. No shrinking occurs upon falsification. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final F<A, F<B, F<C, Property>>> f) { return property(aa, ab, a -> b -> property(ac, c -> f.f(a).f(b).f(c))); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param sa The shrink strategy to use upon falsification. * @param sb The shrink strategy to use upon falsification. * @param sc The shrink strategy to use upon falsification. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final Shrink<A> sa, final Shrink<B> sb, final Shrink<C> sc, final F3<A, B, C, Property> f) { return property(aa, ab, ac, sa, sb, sc, curry(f)); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. No shrinking occurs upon falsification. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final F3<A, B, C, Property> f) { return property(aa, ab, ac, curry(f)); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param ad The arbitrrary to produces values from to produce the property with. * @param sa The shrink strategy to use upon falsification. * @param sb The shrink strategy to use upon falsification. * @param sc The shrink strategy to use upon falsification. * @param sd The shrink strategy to use upon falsification. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C, D> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final Gen<D> ad, final Shrink<A> sa, final Shrink<B> sb, final Shrink<C> sc, final Shrink<D> sd, final F<A, F<B, F<C, F<D, Property>>>> f) { return property(aa, ab, ac, sa, sb, sc, a -> b -> c -> property(ad, sd, d -> { return f.f(a).f(b).f(c).f(d); })); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. No shrinking occurs upon falsification. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param ad The arbitrrary to produces values from to produce the property with. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C, D> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final Gen<D> ad, final F<A, F<B, F<C, F<D, Property>>>> f) { return property(aa, ab, ac, a -> b -> c -> property(ad, d -> f.f(a).f(b).f(c).f(d))); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param ad The arbitrrary to produces values from to produce the property with. * @param sa The shrink strategy to use upon falsification. * @param sb The shrink strategy to use upon falsification. * @param sc The shrink strategy to use upon falsification. * @param sd The shrink strategy to use upon falsification. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C, D> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final Gen<D> ad, final Shrink<A> sa, final Shrink<B> sb, final Shrink<C> sc, final Shrink<D> sd, final F4<A, B, C, D, Property> f) { return property(aa, ab, ac, ad, sa, sb, sc, sd, curry(f)); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. No shrinking occurs upon falsification. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param ad The arbitrrary to produces values from to produce the property with. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C, D> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final Gen<D> ad, final F4<A, B, C, D, Property> f) { return property(aa, ab, ac, ad, curry(f)); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param ad The arbitrrary to produces values from to produce the property with. * @param ae The arbitrrary to produces values from to produce the property with. * @param sa The shrink strategy to use upon falsification. * @param sb The shrink strategy to use upon falsification. * @param sc The shrink strategy to use upon falsification. * @param sd The shrink strategy to use upon falsification. * @param se The shrink strategy to use upon falsification. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C, D, E> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final Gen<D> ad, final Gen<E> ae, final Shrink<A> sa, final Shrink<B> sb, final Shrink<C> sc, final Shrink<D> sd, final Shrink<E> se, final F<A, F<B, F<C, F<D, F<E, Property>>>>> f) { return property(aa, ab, ac, ad, sa, sb, sc, sd, a -> b -> c -> d -> property(ae, se, e -> { return f.f(a).f(b).f(c).f(d).f(e); })); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. No shrinking occurs upon falsification. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param ad The arbitrrary to produces values from to produce the property with. * @param ae The arbitrrary to produces values from to produce the property with. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C, D, E> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final Gen<D> ad, final Gen<E> ae, final F<A, F<B, F<C, F<D, F<E, Property>>>>> f) { return property(aa, ab, ac, ad, a -> b -> c -> d -> property(ae, e -> f.f(a).f(b).f(c).f(d).f(e))); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param ad The arbitrrary to produces values from to produce the property with. * @param ae The arbitrrary to produces values from to produce the property with. * @param sa The shrink strategy to use upon falsification. * @param sb The shrink strategy to use upon falsification. * @param sc The shrink strategy to use upon falsification. * @param sd The shrink strategy to use upon falsification. * @param se The shrink strategy to use upon falsification. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C, D, E> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final Gen<D> ad, final Gen<E> ae, final Shrink<A> sa, final Shrink<B> sb, final Shrink<C> sc, final Shrink<D> sd, final Shrink<E> se, final F5<A, B, C, D, E, Property> f) { return property(aa, ab, ac, ad, ae, sa, sb, sc, sd, se, curry(f)); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. No shrinking occurs upon falsification. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param ad The arbitrrary to produces values from to produce the property with. * @param ae The arbitrrary to produces values from to produce the property with. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C, D, E> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final Gen<D> ad, final Gen<E> ae, final F5<A, B, C, D, E, Property> f) { return property(aa, ab, ac, ad, ae, curry(f)); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param ad The arbitrrary to produces values from to produce the property with. * @param ae The arbitrrary to produces values from to produce the property with. * @param af The arbitrrary to produces values from to produce the property with. * @param sa The shrink strategy to use upon falsification. * @param sb The shrink strategy to use upon falsification. * @param sc The shrink strategy to use upon falsification. * @param sd The shrink strategy to use upon falsification. * @param se The shrink strategy to use upon falsification. * @param sf The shrink strategy to use upon falsification. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C, D, E, F$> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final Gen<D> ad, final Gen<E> ae, final Gen<F$> af, final Shrink<A> sa, final Shrink<B> sb, final Shrink<C> sc, final Shrink<D> sd, final Shrink<E> se, final Shrink<F$> sf, final F<A, F<B, F<C, F<D, F<E, F<F$, Property>>>>>> f) { return property(aa, ab, ac, ad, ae, sa, sb, sc, sd, se, a -> b -> c -> d -> e -> property(af, sf, f$ -> { return f.f(a).f(b).f(c).f(d).f(e).f(f$); })); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. No shrinking occurs upon falsification. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param ad The arbitrrary to produces values from to produce the property with. * @param ae The arbitrrary to produces values from to produce the property with. * @param af The arbitrrary to produces values from to produce the property with. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C, D, E, F$> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final Gen<D> ad, final Gen<E> ae, final Gen<F$> af, final F<A, F<B, F<C, F<D, F<E, F<F$, Property>>>>>> f) { return property(aa, ab, ac, ad, ae, a -> b -> c -> d -> e -> property(af, f$ -> f.f(a).f(b).f(c).f(d).f(e).f(f$))); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param ad The arbitrrary to produces values from to produce the property with. * @param ae The arbitrrary to produces values from to produce the property with. * @param af The arbitrrary to produces values from to produce the property with. * @param sa The shrink strategy to use upon falsification. * @param sb The shrink strategy to use upon falsification. * @param sc The shrink strategy to use upon falsification. * @param sd The shrink strategy to use upon falsification. * @param se The shrink strategy to use upon falsification. * @param sf The shrink strategy to use upon falsification. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C, D, E, F$> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final Gen<D> ad, final Gen<E> ae, final Gen<F$> af, final Shrink<A> sa, final Shrink<B> sb, final Shrink<C> sc, final Shrink<D> sd, final Shrink<E> se, final Shrink<F$> sf, final F6<A, B, C, D, E, F$, Property> f) { return property(aa, ab, ac, ad, ae, af, sa, sb, sc, sd, se, sf, curry(f)); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. No shrinking occurs upon falsification. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param ad The arbitrrary to produces values from to produce the property with. * @param ae The arbitrrary to produces values from to produce the property with. * @param af The arbitrrary to produces values from to produce the property with. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C, D, E, F$> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final Gen<D> ad, final Gen<E> ae, final Gen<F$> af, final F6<A, B, C, D, E, F$, Property> f) { return property(aa, ab, ac, ad, ae, af, curry(f)); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param ad The arbitrrary to produces values from to produce the property with. * @param ae The arbitrrary to produces values from to produce the property with. * @param af The arbitrrary to produces values from to produce the property with. * @param ag The arbitrrary to produces values from to produce the property with. * @param sa The shrink strategy to use upon falsification. * @param sb The shrink strategy to use upon falsification. * @param sc The shrink strategy to use upon falsification. * @param sd The shrink strategy to use upon falsification. * @param se The shrink strategy to use upon falsification. * @param sf The shrink strategy to use upon falsification. * @param sg The shrink strategy to use upon falsification. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C, D, E, F$, G> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final Gen<D> ad, final Gen<E> ae, final Gen<F$> af, final Gen<G> ag, final Shrink<A> sa, final Shrink<B> sb, final Shrink<C> sc, final Shrink<D> sd, final Shrink<E> se, final Shrink<F$> sf, final Shrink<G> sg, final F<A, F<B, F<C, F<D, F<E, F<F$, F<G, Property>>>>>>> f) { return property(aa, ab, ac, ad, ae, af, sa, sb, sc, sd, se, sf, a -> b -> c -> d -> e -> f$ -> property(ag, sg, g -> { return f.f(a).f(b).f(c).f(d).f(e).f(f$).f(g); })); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. No shrinking occurs upon falsification. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param ad The arbitrrary to produces values from to produce the property with. * @param ae The arbitrrary to produces values from to produce the property with. * @param af The arbitrrary to produces values from to produce the property with. * @param ag The arbitrrary to produces values from to produce the property with. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C, D, E, F$, G> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final Gen<D> ad, final Gen<E> ae, final Gen<F$> af, final Gen<G> ag, final F<A, F<B, F<C, F<D, F<E, F<F$, F<G, Property>>>>>>> f) { return property(aa, ab, ac, ad, ae, af, a -> b -> c -> d -> e -> f$ -> property(ag, g -> f.f(a).f(b).f(c).f(d).f(e).f(f$).f(g))); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param ad The arbitrrary to produces values from to produce the property with. * @param ae The arbitrrary to produces values from to produce the property with. * @param af The arbitrrary to produces values from to produce the property with. * @param ag The arbitrrary to produces values from to produce the property with. * @param sa The shrink strategy to use upon falsification. * @param sb The shrink strategy to use upon falsification. * @param sc The shrink strategy to use upon falsification. * @param sd The shrink strategy to use upon falsification. * @param se The shrink strategy to use upon falsification. * @param sf The shrink strategy to use upon falsification. * @param sg The shrink strategy to use upon falsification. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C, D, E, F$, G> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final Gen<D> ad, final Gen<E> ae, final Gen<F$> af, final Gen<G> ag, final Shrink<A> sa, final Shrink<B> sb, final Shrink<C> sc, final Shrink<D> sd, final Shrink<E> se, final Shrink<F$> sf, final Shrink<G> sg, final F7<A, B, C, D, E, F$, G, Property> f) { return property(aa, ab, ac, ad, ae, af, ag, sa, sb, sc, sd, se, sf, sg, curry(f)); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. No shrinking occurs upon falsification. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param ad The arbitrrary to produces values from to produce the property with. * @param ae The arbitrrary to produces values from to produce the property with. * @param af The arbitrrary to produces values from to produce the property with. * @param ag The arbitrrary to produces values from to produce the property with. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C, D, E, F$, G> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final Gen<D> ad, final Gen<E> ae, final Gen<F$> af, final Gen<G> ag, final F7<A, B, C, D, E, F$, G, Property> f) { return property(aa, ab, ac, ad, ae, af, ag, curry(f)); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param ad The arbitrrary to produces values from to produce the property with. * @param ae The arbitrrary to produces values from to produce the property with. * @param af The arbitrrary to produces values from to produce the property with. * @param ag The arbitrrary to produces values from to produce the property with. * @param ah The arbitrrary to produces values from to produce the property with. * @param sa The shrink strategy to use upon falsification. * @param sb The shrink strategy to use upon falsification. * @param sc The shrink strategy to use upon falsification. * @param sd The shrink strategy to use upon falsification. * @param se The shrink strategy to use upon falsification. * @param sf The shrink strategy to use upon falsification. * @param sg The shrink strategy to use upon falsification. * @param sh The shrink strategy to use upon falsification. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C, D, E, F$, G, H> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final Gen<D> ad, final Gen<E> ae, final Gen<F$> af, final Gen<G> ag, final Gen<H> ah, final Shrink<A> sa, final Shrink<B> sb, final Shrink<C> sc, final Shrink<D> sd, final Shrink<E> se, final Shrink<F$> sf, final Shrink<G> sg, final Shrink<H> sh, final F<A, F<B, F<C, F<D, F<E, F<F$, F<G, F<H, Property>>>>>>>> f) { return property(aa, ab, ac, ad, ae, af, ag, sa, sb, sc, sd, se, sf, sg, a -> b -> c -> d -> e -> f$ -> g -> property(ah, sh, h -> { return f.f(a).f(b).f(c).f(d).f(e).f(f$).f(g).f(h); })); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. No shrinking occurs upon falsification. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param ad The arbitrrary to produces values from to produce the property with. * @param ae The arbitrrary to produces values from to produce the property with. * @param af The arbitrrary to produces values from to produce the property with. * @param ag The arbitrrary to produces values from to produce the property with. * @param ah The arbitrrary to produces values from to produce the property with. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C, D, E, F$, G, H> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final Gen<D> ad, final Gen<E> ae, final Gen<F$> af, final Gen<G> ag, final Gen<H> ah, final F<A, F<B, F<C, F<D, F<E, F<F$, F<G, F<H, Property>>>>>>>> f) { return property(aa, ab, ac, ad, ae, af, ag, a -> b -> c -> d -> e -> f$ -> g -> property(ah, h -> f.f(a).f(b).f(c).f(d).f(e).f(f$).f(g).f(h))); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param ad The arbitrrary to produces values from to produce the property with. * @param ae The arbitrrary to produces values from to produce the property with. * @param af The arbitrrary to produces values from to produce the property with. * @param ag The arbitrrary to produces values from to produce the property with. * @param ah The arbitrrary to produces values from to produce the property with. * @param sa The shrink strategy to use upon falsification. * @param sb The shrink strategy to use upon falsification. * @param sc The shrink strategy to use upon falsification. * @param sd The shrink strategy to use upon falsification. * @param se The shrink strategy to use upon falsification. * @param sf The shrink strategy to use upon falsification. * @param sg The shrink strategy to use upon falsification. * @param sh The shrink strategy to use upon falsification. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C, D, E, F$, G, H> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final Gen<D> ad, final Gen<E> ae, final Gen<F$> af, final Gen<G> ag, final Gen<H> ah, final Shrink<A> sa, final Shrink<B> sb, final Shrink<C> sc, final Shrink<D> sd, final Shrink<E> se, final Shrink<F$> sf, final Shrink<G> sg, final Shrink<H> sh, final F8<A, B, C, D, E, F$, G, H, Property> f) { return property(aa, ab, ac, ad, ae, af, ag, ah, sa, sb, sc, sd, se, sf, sg, sh, curry(f)); } /** * Returns a property where its result is derived from universal quantification across the * application of its arguments. No shrinking occurs upon falsification. * * @param aa The arbitrrary to produces values from to produce the property with. * @param ab The arbitrrary to produces values from to produce the property with. * @param ac The arbitrrary to produces values from to produce the property with. * @param ad The arbitrrary to produces values from to produce the property with. * @param ae The arbitrrary to produces values from to produce the property with. * @param af The arbitrrary to produces values from to produce the property with. * @param ag The arbitrrary to produces values from to produce the property with. * @param ah The arbitrrary to produces values from to produce the property with. * @param f The function to produce properties with results. * @return A property where its result is derived from universal quantification across the * application of its arguments. */ public static <A, B, C, D, E, F$, G, H> Property property(final Gen<A> aa, final Gen<B> ab, final Gen<C> ac, final Gen<D> ad, final Gen<E> ae, final Gen<F$> af, final Gen<G> ag, final Gen<H> ah, final F8<A, B, C, D, E, F$, G, H, Property> f) { return property(aa, ab, ac, ad, ae, af, ag, ah, curry(f)); } /** * Returns a property that has a result of exception, if the evaluation of the given property * throws an exception; otherwise, the given property is returned. * * @param p A property to evaluate to check for an exception. * @return A property that has a result of exception, if the evaluation of the given property * throws an exception; otherwise, the given property is returned. */ public static Property exception(final F0<Property> p) { try { return p.f(); } catch (final Throwable t) { return new Property(i -> r -> Result.exception(List.nil(), t)); } } }