Functional

profunctors

(+ 1 1)

functors

>>==

flatmap

filter

category theory

Category Theory

functors

filter

list.map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…)

upgrades.flatMapIndexed { idx, entry -> entry.map { Pair(it.key.position.add(-2.0*idx, 0.0, 0.0), Pair(it.value, it.value.data)) } }

default Function15<T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T12, T13, T14, T15, Function<T16, R>> curry15()

std::reduce(std::execution::seq, v.cbegin(), v.cend())

upgrades.flatMapIndexed { idx, entry -> entry.map { Pair(it.key.position.add(-2.0*idx, 0.0, 0.0), Pair(it.value, it.value.data)) } }

functors

public interface Applicative<F extends K1, Mu extends Applicative.Mu> extends Functor<F, Mu>

flatmap

A monad is a monoid in the category of endofunctors.

list.map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…).map(…)

Natural Transformations

>>==

filter

default Function15<T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T12, T13, T14, T15, Function<T16, R>> curry15()

filter

filter

map

upgrades.flatMapIndexed { idx, entry -> entry.map { Pair(it.key.position.add(-2.0*idx, 0.0, 0.0), Pair(it.value, it.value.data)) } }

filter

category theory

profunctors

map

functors

upgrades.flatMapIndexed { idx, entry -> entry.map { Pair(it.key.position.add(-2.0*idx, 0.0, 0.0), Pair(it.value, it.value.data)) } }

profunctors

A monad is a monoid in the category of endofunctors.

public interface Applicative<F extends K1, Mu extends Applicative.Mu> extends Functor<F, Mu>

Natural Transformations

profunctors

public <A, B, C, D> FunctionType<App2<Grate.Mu<A2, B2>, A, B>, App2<Grate.Mu<A2, B2>, C, D>> dimap(final Function<C, A> g, final Function<B, D> h)

flatmap

() -> a -> b -> (c, d, e) -> f -> a(b)(c)[d](e, f)

upgrades.flatMapIndexed { idx, entry -> entry.map { Pair(it.key.position.add(-2.0*idx, 0.0, 0.0), Pair(it.value, it.value.data)) } }

flatmap

filter

interface Mu extends Profunctor.Mu {}

functors

filter

map

filter