use ops::{Mul, Add};
use num::Wrapping;

/// Trait to represent types that can be created by summing up an iterator.
///
/// This trait is used to implement the [`sum`] method on iterators. Types which
/// implement the trait can be generated by the [`sum`] method. Like
/// [`FromIterator`] this trait should rarely be called directly and instead
/// interacted with through [`Iterator::sum`].
///
/// [`sum`]: ../../std/iter/trait.Sum.html#tymethod.sum
/// [`FromIterator`]: ../../std/iter/trait.FromIterator.html
/// [`Iterator::sum`]: ../../std/iter/trait.Iterator.html#method.sum
#[stable(feature = "iter_arith_traits", since = "1.12.0")]
pub trait Sum<A = Self>: Sized {
    /// Method which takes an iterator and generates `Self` from the elements by
    /// "summing up" the items.
    #[stable(feature = "iter_arith_traits", since = "1.12.0")]
    fn sum<I: Iterator<Item=A>>(iter: I) -> Self;
}

/// Trait to represent types that can be created by multiplying elements of an
/// iterator.
///
/// This trait is used to implement the [`product`] method on iterators. Types
/// which implement the trait can be generated by the [`product`] method. Like
/// [`FromIterator`] this trait should rarely be called directly and instead
/// interacted with through [`Iterator::product`].
///
/// [`product`]: ../../std/iter/trait.Product.html#tymethod.product
/// [`FromIterator`]: ../../std/iter/trait.FromIterator.html
/// [`Iterator::product`]: ../../std/iter/trait.Iterator.html#method.product
#[stable(feature = "iter_arith_traits", since = "1.12.0")]
pub trait Product<A = Self>: Sized {
    /// Method which takes an iterator and generates `Self` from the elements by
    /// multiplying the items.
    #[stable(feature = "iter_arith_traits", since = "1.12.0")]
    fn product<I: Iterator<Item=A>>(iter: I) -> Self;
}

// N.B., explicitly use Add and Mul here to inherit overflow checks
macro_rules! integer_sum_product {
    (@impls $zero:expr, $one:expr, #[$attr:meta], $($a:ty)*) => ($(
        #[$attr]
        impl Sum for $a {
            fn sum<I: Iterator<Item=$a>>(iter: I) -> $a {
                iter.fold($zero, Add::add)
            }
        }

        #[$attr]
        impl Product for $a {
            fn product<I: Iterator<Item=$a>>(iter: I) -> $a {
                iter.fold($one, Mul::mul)
            }
        }

        #[$attr]
        impl<'a> Sum<&'a $a> for $a {
            fn sum<I: Iterator<Item=&'a $a>>(iter: I) -> $a {
                iter.fold($zero, Add::add)
            }
        }

        #[$attr]
        impl<'a> Product<&'a $a> for $a {
            fn product<I: Iterator<Item=&'a $a>>(iter: I) -> $a {
                iter.fold($one, Mul::mul)
            }
        }
    )*);
    ($($a:ty)*) => (
        integer_sum_product!(@impls 0, 1,
                #[stable(feature = "iter_arith_traits", since = "1.12.0")],
                $($a)+);
        integer_sum_product!(@impls Wrapping(0), Wrapping(1),
                #[stable(feature = "wrapping_iter_arith", since = "1.14.0")],
                $(Wrapping<$a>)+);
    );
}

macro_rules! float_sum_product {
    ($($a:ident)*) => ($(
        #[stable(feature = "iter_arith_traits", since = "1.12.0")]
        impl Sum for $a {
            fn sum<I: Iterator<Item=$a>>(iter: I) -> $a {
                iter.fold(0.0, |a, b| a + b)
            }
        }

        #[stable(feature = "iter_arith_traits", since = "1.12.0")]
        impl Product for $a {
            fn product<I: Iterator<Item=$a>>(iter: I) -> $a {
                iter.fold(1.0, |a, b| a * b)
            }
        }

        #[stable(feature = "iter_arith_traits", since = "1.12.0")]
        impl<'a> Sum<&'a $a> for $a {
            fn sum<I: Iterator<Item=&'a $a>>(iter: I) -> $a {
                iter.fold(0.0, |a, b| a + *b)
            }
        }

        #[stable(feature = "iter_arith_traits", since = "1.12.0")]
        impl<'a> Product<&'a $a> for $a {
            fn product<I: Iterator<Item=&'a $a>>(iter: I) -> $a {
                iter.fold(1.0, |a, b| a * *b)
            }
        }
    )*)
}

integer_sum_product! { i8 i16 i32 i64 i128 isize u8 u16 u32 u64 u128 usize }
float_sum_product! { f32 f64 }

/// An iterator adapter that produces output as long as the underlying
/// iterator produces `Result::Ok` values.
///
/// If an error is encountered, the iterator stops and the error is
/// stored. The error may be recovered later via `reconstruct`.
struct ResultShunt<I, E> {
    iter: I,
    error: Option<E>,
}

impl<I, T, E> ResultShunt<I, E>
    where I: Iterator<Item = Result<T, E>>
{
    /// Process the given iterator as if it yielded a `T` instead of a
    /// `Result<T, _>`. Any errors will stop the inner iterator and
    /// the overall result will be an error.
    pub fn process<F, U>(iter: I, mut f: F) -> Result<U, E>
        where F: FnMut(&mut Self) -> U
    {
        let mut shunt = ResultShunt::new(iter);
        let value = f(shunt.by_ref());
        shunt.reconstruct(value)
    }

    fn new(iter: I) -> Self {
        ResultShunt {
            iter,
            error: None,
        }
    }

    /// Consume the adapter and rebuild a `Result` value. This should
    /// *always* be called, otherwise any potential error would be
    /// lost.
    fn reconstruct<U>(self, val: U) -> Result<U, E> {
        match self.error {
            None => Ok(val),
            Some(e) => Err(e),
        }
    }
}

impl<I, T, E> Iterator for ResultShunt<I, E>
    where I: Iterator<Item = Result<T, E>>
{
    type Item = T;

    fn next(&mut self) -> Option<Self::Item> {
        match self.iter.next() {
            Some(Ok(v)) => Some(v),
            Some(Err(e)) => {
                self.error = Some(e);
                None
            }
            None => None,
        }
    }

    fn size_hint(&self) -> (usize, Option<usize>) {
        if self.error.is_some() {
            (0, Some(0))
        } else {
            let (_, upper) = self.iter.size_hint();
            (0, upper)
        }
    }
}

#[stable(feature = "iter_arith_traits_result", since="1.16.0")]
impl<T, U, E> Sum<Result<U, E>> for Result<T, E>
    where T: Sum<U>,
{
    /// Takes each element in the `Iterator`: if it is an `Err`, no further
    /// elements are taken, and the `Err` is returned. Should no `Err` occur,
    /// the sum of all elements is returned.
    ///
    /// # Examples
    ///
    /// This sums up every integer in a vector, rejecting the sum if a negative
    /// element is encountered:
    ///
    /// ```
    /// let v = vec![1, 2];
    /// let res: Result<i32, &'static str> = v.iter().map(|&x: &i32|
    ///     if x < 0 { Err("Negative element found") }
    ///     else { Ok(x) }
    /// ).sum();
    /// assert_eq!(res, Ok(3));
    /// ```
    fn sum<I>(iter: I) -> Result<T, E>
        where I: Iterator<Item = Result<U, E>>,
    {
        ResultShunt::process(iter, |i| i.sum())
    }
}

#[stable(feature = "iter_arith_traits_result", since="1.16.0")]
impl<T, U, E> Product<Result<U, E>> for Result<T, E>
    where T: Product<U>,
{
    /// Takes each element in the `Iterator`: if it is an `Err`, no further
    /// elements are taken, and the `Err` is returned. Should no `Err` occur,
    /// the product of all elements is returned.
    fn product<I>(iter: I) -> Result<T, E>
        where I: Iterator<Item = Result<U, E>>,
    {
        ResultShunt::process(iter, |i| i.product())
    }
}