I repeatedly find myself requiring Haskell style Maybe
(especially Maybe chaining) in my project at work. E.g. withdrawal request from customer and we are given the customer ID... lookup customer in cache... if customer is found... lookup her savings account... if there is an account... withdraw... At any point in this chain, if there is a lookup failure, do nothing and return a failure.
My chains are large... sometimes as long as 6... so here is my swipe at Haskell.Data.Maybe
in C++0x... (note... this should work in C++ if I stop using variadic templates). I have worked out chaining for free-functions taking one argument or member functions taking no arguments and I am happy with the interface. However, for functions taking multiple parameters... I have to write a lambda function to simulate partial application. Is there a way to avoid it? See the last line of main()
. Even if it is uncommented it won't compile, but for const/non-const mixing. But the question still stands.
Sorry about the large chunk of code... I hope this wouldn't turn away people who might otherwise be interested in this...
#include <iostream> #include <map> #include <deque> #include <algorithm> #include <type_traits> typedef long long int int64; namespace monad { namespace maybe { struct Nothing {}; template < typename T > struct Maybe { template < typename U, typename Enable = void > struct ValueType { typedef U * const type; }; template < typename U > struct ValueType < U, typename std::enable_if < std::is_reference < U >::value >::type > { typedef typename std::remove_reference < T >::type * const type; }; typedef typename ValueType < T >::type value_type; value_type m_v; Maybe(Nothing const &) : m_v(0) {} struct Just { value_type m_v; Just() = delete; explicit Just(T &v) : m_v(&v) { } }; Maybe(Just const &just) : m_v(just.m_v) { } }; Nothing nothing() { return Nothing(); } template < typename T > Maybe < T > just(T &v) { return typename Maybe < T >::Just(v); } template < typename T > Maybe < T const > just(T const &v) { return typename Maybe < T const >::Just(v); } template < typename T, typename R, typename A > Maybe < R > operator | (Maybe < T > const &t, R (*f)(A const &)) { if (t.m_v) return just < R >(f(*t.m_v)); else return nothing(); } template < typename T, typename R, typename A > Maybe < R > operator | (Maybe < T > const &t, Maybe < R > (*f)(A const &)) { if (t.m_v) return f(*t.m_v); else return nothing(); } template < typename T, typename R, typename A > Maybe < R > operator | (Maybe < T > const &t, R (*f)(A &)) { if (t.m_v) return just < R >(f(*t.m_v)); else return nothing(); } template < typename T, typename R, typename A > Maybe < R > operator | (Maybe < T > const &t, Maybe < R > (*f)(A &)) { if (t.m_v) return f(*t.m_v); else return nothing(); } template < typename T, typename R, typename... A > Maybe < R > operator | (Maybe < T const > const &t, R (T::*f)(A const &...) const) { if (t.m_v) return just < R >(((*t.m_v).*f)()); else return nothing(); } template < typename T, typename R, typename... A > Maybe < R > operator | (Maybe < T const > const &t, Maybe < R > (T::*f)(A const &...) const) { if (t.m_v) return just < R >((t.m_v->*f)()); else return nothing(); } template < typename T, typename R, typename... A > Maybe < R > operator | (Maybe < T const > const &t, R (T::*f)(A const &...)) { if (t.m_v) return just < R >(((*t.m_v).*f)()); else return nothing(); } template < typename T, typename R, typename... A > Maybe < R > operator | (Maybe < T const > const &t, Maybe < R > (T::*f)(A const &...)) { if (t.m_v) return just < R >((t.m_v->*f)()); else return nothing(); } template < typename T, typename A > void operator | (Maybe < T > const &t, void (*f)(A const &)) { if (t.m_v) f(*t.m_v); } }} struct Account { std::string const m_id; enum Type { CHECKING, SAVINGS } m_type; int64 m_balance; int64 withdraw(int64 const amt) { if (m_balance < amt) m_balance -= amt; return m_balance; } std::string const &getId() const { return m_id; } }; std::ostream &operator << (std::ostream &os, Account const &acct) { os << "{" << acct.m_id << ", " << (acct.m_type == Account::CHECKING ? "Checking" : "Savings") << ", " << acct.m_balance << "}"; } struct Customer { std::string const m_id; std::deque < Account > const m_accounts; }; typedef std::map < std::string, Customer > Customers; using namespace monad::maybe; Maybe < Customer const > getCustomer(Customers const &customers, std::string const &id) { auto customer = customers.find(id); if (customer == customers.end()) return nothing(); else return just(customer->second); }; Maybe < Account const > getAccountByType(Customer const &customer, Account::Type const type) { auto const &accounts = customer.m_accounts; auto account = std::find_if(accounts.begin(), accounts.end(), [type](Account const &account) -> bool { return account.m_type == type; }); if (account == accounts.end()) return nothing(); else return just(*account); } Maybe < Account const > getCheckingAccount(Customer const &customer) { return getAccountByType(customer, Account::CHECKING); }; Maybe < Account const > getSavingsAccount(Customer const &customer) { return getAccountByType(customer, Account::SAVINGS); }; int64 const &getBalance(Account const &acct) { return acct.m_balance; } template < typename T > void print(T const &v) { std::cout << v << std::endl; } int main(int const argc, char const * const argv[]) { Customers customers = { { "12345", { "12345", { { "12345000", Account::CHECKING, 20000 }, { "12345001", Account::SAVINGS, 117000 } } } } , { "12346", { "12346", { { "12346000", Account::SAVINGS, 1000000 } } } } }; getCustomer(customers, "12346") | getCheckingAccount | getBalance | &print < int64 const >; getCustomer(customers, "12345") | getCheckingAccount | getBalance | &print < int64 const >; getCustomer(customers, "12345") | getSavingsAccount | &Account::getId | &print < std::string const >; // getCustomer(customers, "12345") | getSavingsAccount | [](Account &acct){ return acct.withdraw(100); } | &print < std::string const >; }
The maybe function takes a default value, a function, and a Maybe value. If the Maybe value is Nothing, the function returns the default value. Otherwise, it applies the function to the value inside the Just and returns the result.
The Maybe type is also a monad. It is a simple kind of error monad, where all errors are represented by Nothing . A richer error monad can be built using the Either type.
In FP we often loosely say things like "arrays are monads" or "maybe values are monadic" etc. However, speaking more strictly, it is not the values (like [1, 2, 3] , Nothing , or Just(6) ) that are monads, but the context (the Array or Maybe "namespace" as you put it).
Good start, but I think you're over-engineering in your zeal to make your class foolproof. Personally I'd recommend 'worse is better'. First, let's reuse Boost.Optional:
struct nothing_type { template<typename T> operator boost::optional<T>() const { return {}; } }; constexpr nothing_type nothing; template<typename T> boost::optional<T> just(T&& t) { return std::forward<T>(t); } template<typename Option, typename Functor> auto maybe_do(Option&& option, Functor&& functor) -> boost::optional< decltype( functor(*std::forward<Option>(option)) ) > { // Forwarding if(option) return functor(*std::forward<Option>(option)); else return nothing; }
Some various explanations on things that aren't really important:
nothing
doesn't have to be an object, it can still be a function (returning nothing_type
) like you're doing. That's not important.
I made sure to preserve the reference semantics of just
to match your version. As a bonus though, it can still deal with values. As such, with int i = 0; auto maybe = just(i);
then the type of maybe
will be boost::optional<int&>
, whereas with auto maybe = just(42);
it is boost::optional<int>
.
the *std::forward<Option>(option)
can actually simply be *option
as Boost.Optional is not move-aware and not many compilers support lvalue/rvalue *this
(which would be needed for it to matter). I just like future-proofing perfect-forwarding templates.
you can still name maybe_do
operator|
instead. I would however recommend putting it in a namespace and use using ns::operator|
(or using namespace ns;
) to put it into scope. You can additionally (or instead) add an SFINAE check (or write several overloads) to make sure it only participates in overload resolution at appropriate times. I'm advising this to avoid namespace pollution and annoying errors.
The important stuff:
It may look like maybe_do
is severely underpowered compared to your overloads that can deal with member pointers. But I'd recommend keeping it simple and instead putting the burden on client-code to adapt member pointers:
auto maybe = /* fetch an optional<T cv ref> from somewhere */ maybe_do(maybe, std::bind(&T::some_member, _1));
Similarly client code can use std::bind
to do the poor man's partial evaluation:
maybe_do(maybe, std::bind(some_functor, _1, "foo", _2, bar));
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