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use std::mem;
use std::default::Default;
use crate::ops::{Commutative, Identity};
pub struct PointSegment<N, O> where O: Commutative<N> + Identity<N> {
buf: Vec<N>,
n: usize,
op: O
}
impl<N, O: Commutative<N> + Identity<N>> PointSegment<N, O> {
pub fn build(mut buf: Vec<N>, op: O) -> PointSegment<N, O> {
let n = buf.len();
buf.reserve_exact(n);
for i in 0..n {
let val = mem::replace(&mut buf[i], op.identity());
buf.push(val);
}
PointSegment { buf: buf, n: n, op: op }
}
pub fn build_slice(buf: &[N], op: O) -> PointSegment<N, O> where N: Clone {
PointSegment::build_iter(buf.iter().cloned(), op)
}
pub fn build_iter<I: ExactSizeIterator<Item=N>>(iter: I, op: O) -> PointSegment<N, O> {
let n = iter.len();
let mut buf = Vec::with_capacity(2*n);
for _ in 0..n { buf.push(op.identity()); }
buf.extend(iter);
PointSegment {
buf: buf,
n: n, op: op
}
}
pub fn query(&self, mut p: usize) -> N {
p += self.n;
let mut res = self.op.identity();
while p > 0 {
res = self.op.combine_left(res, &self.buf[p]);
p >>= 1;
}
res
}
pub fn modify(&mut self, mut l: usize, mut r: usize, delta: N) {
l += self.n; r += self.n;
while l < r {
if l&1 == 1 {
self.op.combine_mut(&mut self.buf[l], &delta);
l += 1;
}
if r&1 == 1 {
r -= 1;
self.op.combine_mut(&mut self.buf[r], &delta);
}
l >>= 1; r >>= 1;
}
}
pub fn propogate(&mut self) -> &mut [N] {
for i in 1..self.n {
let prev = mem::replace(&mut self.buf[i], self.op.identity());
self.op.combine_mut(&mut self.buf[i<<1], &prev);
self.op.combine_mut(&mut self.buf[i<<1|1], &prev);
}
&mut self.buf[self.n..]
}
#[inline(always)]
pub fn len(&self) -> usize {
self.n
}
}
impl<N: Clone, O: Identity<N> + Commutative<N> + Clone> Clone for PointSegment<N, O> {
#[inline]
fn clone(&self) -> PointSegment<N, O> {
PointSegment {
buf: self.buf.clone(), n: self.n, op: self.op.clone()
}
}
}
impl<N, O: Identity<N> + Commutative<N> + Default> Default for PointSegment<N, O> {
#[inline]
fn default() -> PointSegment<N, O> {
PointSegment { buf: Vec::new(), n: 0, op: Default::default() }
}
}
#[cfg(test)]
mod tests {
use crate::propagating::*;
use crate::ops::*;
use rand::prelude::*;
use rand::distributions::Standard;
use std::num::Wrapping;
#[test]
fn test() {
let mut rng = thread_rng();
for i in 1..130 {
let mut buf: Vec<Wrapping<i32>> = rng.sample_iter(&Standard)
.map(|n| Wrapping(n)).take(i).collect();
let mut tree = match i%3 {
0 => PointSegment::build_slice(&buf[..], Add),
1 => PointSegment::build_iter(buf.iter().cloned(), Add),
2 => PointSegment::build(buf.clone(), Add),
_ => unreachable!()
};
let tests: Vec<(usize, usize, i32)> = rng.sample_iter(&Standard)
.take(10).collect();
for (n, m, v) in tests {
let n = n % i;
let m = m % i;
if n > m { continue; }
for index in n..m { buf[index] += Wrapping(v); }
tree.modify(n, m, Wrapping(v));
for index in 0..i {
assert_eq!(buf[index], tree.query(index));
}
}
assert_eq!(&mut buf[..], tree.propogate());
}
}
}