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+// Copyright 2013-2014 The Rust Project Developers. See the COPYRIGHT
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+// file at the top-level directory of this distribution and at
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+// http://rust-lang.org/COPYRIGHT.
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+//
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+// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
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+// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
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+// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
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+// option. This file may not be copied, modified, or distributed
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+// except according to those terms.
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+
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+//! External iterators for generic mathematics
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+
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+extern crate num_traits as traits;
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+extern crate num_integer as integer;
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+
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+use integer::Integer;
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+use traits::{Zero, One, CheckedAdd, ToPrimitive};
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+use std::ops::{Add, Sub};
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+
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+/// An iterator over the range [start, stop)
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+#[derive(Clone)]
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+pub struct Range<A> {
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+ state: A,
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+ stop: A,
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+ one: A
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+}
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+
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+/// Returns an iterator over the given range [start, stop) (that is, starting
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+/// at start (inclusive), and ending at stop (exclusive)).
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+///
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+/// # Example
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+///
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+/// ```rust
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+/// use num::iter;
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+///
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+/// let array = [0, 1, 2, 3, 4];
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+///
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+/// for i in iter::range(0, 5) {
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+/// println!("{}", i);
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+/// assert_eq!(i, array[i]);
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+/// }
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+/// ```
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+#[inline]
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+pub fn range<A>(start: A, stop: A) -> Range<A>
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+ where A: Add<A, Output = A> + PartialOrd + Clone + One
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+{
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+ Range{state: start, stop: stop, one: One::one()}
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+}
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+
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+// FIXME: rust-lang/rust#10414: Unfortunate type bound
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+impl<A> Iterator for Range<A>
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+ where A: Add<A, Output = A> + PartialOrd + Clone + ToPrimitive
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+{
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+ type Item = A;
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+
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+ #[inline]
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+ fn next(&mut self) -> Option<A> {
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+ if self.state < self.stop {
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+ let result = self.state.clone();
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+ self.state = self.state.clone() + self.one.clone();
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+ Some(result)
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+ } else {
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+ None
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+ }
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+ }
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+
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+ #[inline]
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+ fn size_hint(&self) -> (usize, Option<usize>) {
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+ // This first checks if the elements are representable as i64. If they aren't, try u64 (to
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+ // handle cases like range(huge, huger)). We don't use usize/int because the difference of
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+ // the i64/u64 might lie within their range.
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+ let bound = match self.state.to_i64() {
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+ Some(a) => {
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+ let sz = self.stop.to_i64().map(|b| b.checked_sub(a));
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+ match sz {
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+ Some(Some(bound)) => bound.to_usize(),
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+ _ => None,
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+ }
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+ },
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+ None => match self.state.to_u64() {
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+ Some(a) => {
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+ let sz = self.stop.to_u64().map(|b| b.checked_sub(a));
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+ match sz {
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+ Some(Some(bound)) => bound.to_usize(),
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+ _ => None
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+ }
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+ },
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+ None => None
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+ }
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+ };
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+
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+ match bound {
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+ Some(b) => (b, Some(b)),
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+ // Standard fallback for unbounded/unrepresentable bounds
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+ None => (0, None)
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+ }
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+ }
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+}
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+
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+/// `Integer` is required to ensure the range will be the same regardless of
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+/// the direction it is consumed.
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+impl<A> DoubleEndedIterator for Range<A>
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+ where A: Integer + Clone + ToPrimitive
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+{
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+ #[inline]
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+ fn next_back(&mut self) -> Option<A> {
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+ if self.stop > self.state {
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+ self.stop = self.stop.clone() - self.one.clone();
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+ Some(self.stop.clone())
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+ } else {
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+ None
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+ }
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+ }
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+}
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+
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+/// An iterator over the range [start, stop]
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+#[derive(Clone)]
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+pub struct RangeInclusive<A> {
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+ range: Range<A>,
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+ done: bool,
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+}
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+
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+/// Return an iterator over the range [start, stop]
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+#[inline]
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+pub fn range_inclusive<A>(start: A, stop: A) -> RangeInclusive<A>
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+ where A: Add<A, Output = A> + PartialOrd + Clone + One
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+{
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+ RangeInclusive{range: range(start, stop), done: false}
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+}
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+
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+impl<A> Iterator for RangeInclusive<A>
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+ where A: Add<A, Output = A> + PartialOrd + Clone + ToPrimitive
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+{
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+ type Item = A;
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+
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+ #[inline]
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+ fn next(&mut self) -> Option<A> {
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+ match self.range.next() {
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+ Some(x) => Some(x),
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+ None => {
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+ if !self.done && self.range.state == self.range.stop {
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+ self.done = true;
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+ Some(self.range.stop.clone())
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+ } else {
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+ None
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+ }
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+ }
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+ }
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+ }
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+
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+ #[inline]
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+ fn size_hint(&self) -> (usize, Option<usize>) {
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+ let (lo, hi) = self.range.size_hint();
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+ if self.done {
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+ (lo, hi)
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+ } else {
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+ let lo = lo.saturating_add(1);
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+ let hi = match hi {
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+ Some(x) => x.checked_add(1),
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+ None => None
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+ };
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+ (lo, hi)
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+ }
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+ }
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+}
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+
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+impl<A> DoubleEndedIterator for RangeInclusive<A>
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+ where A: Sub<A, Output = A> + Integer + Clone + ToPrimitive
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+{
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+ #[inline]
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+ fn next_back(&mut self) -> Option<A> {
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+ if self.range.stop > self.range.state {
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+ let result = self.range.stop.clone();
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+ self.range.stop = self.range.stop.clone() - self.range.one.clone();
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+ Some(result)
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+ } else if !self.done && self.range.state == self.range.stop {
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+ self.done = true;
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+ Some(self.range.stop.clone())
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+ } else {
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+ None
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+ }
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+ }
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+}
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+
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+/// An iterator over the range [start, stop) by `step`. It handles overflow by stopping.
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+#[derive(Clone)]
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+pub struct RangeStep<A> {
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+ state: A,
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+ stop: A,
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+ step: A,
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+ rev: bool,
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+}
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+
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+/// Return an iterator over the range [start, stop) by `step`. It handles overflow by stopping.
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+#[inline]
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+pub fn range_step<A>(start: A, stop: A, step: A) -> RangeStep<A>
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+ where A: CheckedAdd + PartialOrd + Clone + Zero
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+{
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+ let rev = step < Zero::zero();
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+ RangeStep{state: start, stop: stop, step: step, rev: rev}
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+}
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+
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+impl<A> Iterator for RangeStep<A>
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+ where A: CheckedAdd + PartialOrd + Clone
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+{
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+ type Item = A;
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+
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+ #[inline]
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+ fn next(&mut self) -> Option<A> {
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+ if (self.rev && self.state > self.stop) || (!self.rev && self.state < self.stop) {
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+ let result = self.state.clone();
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+ match self.state.checked_add(&self.step) {
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+ Some(x) => self.state = x,
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+ None => self.state = self.stop.clone()
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+ }
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+ Some(result)
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+ } else {
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+ None
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+ }
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+ }
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+}
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+
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+/// An iterator over the range [start, stop] by `step`. It handles overflow by stopping.
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+#[derive(Clone)]
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+pub struct RangeStepInclusive<A> {
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+ state: A,
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+ stop: A,
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+ step: A,
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+ rev: bool,
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+ done: bool,
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+}
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+
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+/// Return an iterator over the range [start, stop] by `step`. It handles overflow by stopping.
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+#[inline]
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+pub fn range_step_inclusive<A>(start: A, stop: A, step: A) -> RangeStepInclusive<A>
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+ where A: CheckedAdd + PartialOrd + Clone + Zero
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+{
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+ let rev = step < Zero::zero();
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+ RangeStepInclusive{state: start, stop: stop, step: step, rev: rev, done: false}
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+}
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+
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+impl<A> Iterator for RangeStepInclusive<A>
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+ where A: CheckedAdd + PartialOrd + Clone + PartialEq
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+{
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+ type Item = A;
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+
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+ #[inline]
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+ fn next(&mut self) -> Option<A> {
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+ if !self.done && ((self.rev && self.state >= self.stop) ||
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+ (!self.rev && self.state <= self.stop)) {
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+ let result = self.state.clone();
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+ match self.state.checked_add(&self.step) {
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+ Some(x) => self.state = x,
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+ None => self.done = true
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+ }
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+ Some(result)
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+ } else {
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+ None
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+ }
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+ }
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+}
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+
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+#[cfg(test)]
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+mod tests {
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+ use std::usize;
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+ use std::ops::{Add, Mul};
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+ use std::cmp::Ordering;
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+ use {One, ToPrimitive};
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+
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+ #[test]
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+ fn test_range() {
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+ /// A mock type to check Range when ToPrimitive returns None
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+ struct Foo;
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+
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+ impl ToPrimitive for Foo {
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+ fn to_i64(&self) -> Option<i64> { None }
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+ fn to_u64(&self) -> Option<u64> { None }
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+ }
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+
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+ impl Add<Foo> for Foo {
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+ type Output = Foo;
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+
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+ fn add(self, _: Foo) -> Foo {
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+ Foo
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+ }
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+ }
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+
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+ impl PartialEq for Foo {
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+ fn eq(&self, _: &Foo) -> bool {
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+ true
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+ }
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+ }
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+
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+ impl PartialOrd for Foo {
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+ fn partial_cmp(&self, _: &Foo) -> Option<Ordering> {
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+ None
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+ }
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+ }
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+
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+ impl Clone for Foo {
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+ fn clone(&self) -> Foo {
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+ Foo
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+ }
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+ }
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+
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+ impl Mul<Foo> for Foo {
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+ type Output = Foo;
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+
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+ fn mul(self, _: Foo) -> Foo {
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+ Foo
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+ }
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+ }
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+
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+ impl One for Foo {
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+ fn one() -> Foo {
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+ Foo
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+ }
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+ }
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+
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+ assert!(super::range(0, 5).collect::<Vec<isize>>() == vec![0, 1, 2, 3, 4]);
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+ assert!(super::range(-10, -1).collect::<Vec<isize>>() ==
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+ vec![-10, -9, -8, -7, -6, -5, -4, -3, -2]);
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+ assert!(super::range(0, 5).rev().collect::<Vec<isize>>() == vec![4, 3, 2, 1, 0]);
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+ assert_eq!(super::range(200, -5).count(), 0);
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+ assert_eq!(super::range(200, -5).rev().count(), 0);
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+ assert_eq!(super::range(200, 200).count(), 0);
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+ assert_eq!(super::range(200, 200).rev().count(), 0);
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+
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+ assert_eq!(super::range(0, 100).size_hint(), (100, Some(100)));
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+ // this test is only meaningful when sizeof usize < sizeof u64
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+ assert_eq!(super::range(usize::MAX - 1, usize::MAX).size_hint(), (1, Some(1)));
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+ assert_eq!(super::range(-10, -1).size_hint(), (9, Some(9)));
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+ }
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+
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+ #[test]
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+ fn test_range_inclusive() {
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+ assert!(super::range_inclusive(0, 5).collect::<Vec<isize>>() ==
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+ vec![0, 1, 2, 3, 4, 5]);
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+ assert!(super::range_inclusive(0, 5).rev().collect::<Vec<isize>>() ==
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+ vec![5, 4, 3, 2, 1, 0]);
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+ assert_eq!(super::range_inclusive(200, -5).count(), 0);
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+ assert_eq!(super::range_inclusive(200, -5).rev().count(), 0);
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+ assert!(super::range_inclusive(200, 200).collect::<Vec<isize>>() == vec![200]);
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+ assert!(super::range_inclusive(200, 200).rev().collect::<Vec<isize>>() == vec![200]);
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+ }
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+
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+ #[test]
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+ fn test_range_step() {
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+ assert!(super::range_step(0, 20, 5).collect::<Vec<isize>>() ==
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+ vec![0, 5, 10, 15]);
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+ assert!(super::range_step(20, 0, -5).collect::<Vec<isize>>() ==
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+ vec![20, 15, 10, 5]);
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+ assert!(super::range_step(20, 0, -6).collect::<Vec<isize>>() ==
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+ vec![20, 14, 8, 2]);
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+ assert!(super::range_step(200u8, 255, 50).collect::<Vec<u8>>() ==
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+ vec![200u8, 250]);
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+ assert!(super::range_step(200, -5, 1).collect::<Vec<isize>>() == vec![]);
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+ assert!(super::range_step(200, 200, 1).collect::<Vec<isize>>() == vec![]);
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+ }
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+
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+ #[test]
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+ fn test_range_step_inclusive() {
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+ assert!(super::range_step_inclusive(0, 20, 5).collect::<Vec<isize>>() ==
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+ vec![0, 5, 10, 15, 20]);
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+ assert!(super::range_step_inclusive(20, 0, -5).collect::<Vec<isize>>() ==
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+ vec![20, 15, 10, 5, 0]);
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+ assert!(super::range_step_inclusive(20, 0, -6).collect::<Vec<isize>>() ==
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+ vec![20, 14, 8, 2]);
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+ assert!(super::range_step_inclusive(200u8, 255, 50).collect::<Vec<u8>>() ==
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+ vec![200u8, 250]);
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+ assert!(super::range_step_inclusive(200, -5, 1).collect::<Vec<isize>>() ==
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+ vec![]);
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+ assert!(super::range_step_inclusive(200, 200, 1).collect::<Vec<isize>>() ==
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+ vec![200]);
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+ }
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+}
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