rust部分推进:进程间通信(Windows平台命名管线)、内存页表、B+树、WAL恢复系统、动态配置
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use std::io;
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use std::path::Path;
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use crate::page::{Page, PageFile, PageId};
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// 磁盘版 B+ 树:每个节点占一页,page 0 存文件头(魔数 + 页大小 + order + 根页号)。
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// 节点页布局(order = 一个节点最多几个孩子,来自配置):
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// [0] 节点类型:0=叶子,1=内部
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// [1..3] 键数量 u16
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// [3..11] 叶子的 next 页号 u64(内部保留)
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// [12..12+K*8] 键:K = order-1 个 i64
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// [后面] 叶子:K 个 u64 值;内部:order 个 u64 孩子页号
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/// 文件头放在这一页。
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const META_PAGE: PageId = 0;
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/// 文件头魔数。
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const META_MAGIC: &[u8; 4] = b"CBTR";
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/// 文件头里各字段的偏移。
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const OFF_META_PAGE_SIZE: usize = 4;
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const OFF_META_ORDER: usize = 8;
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const OFF_META_ROOT: usize = 10;
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/// 节点类型标记。
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const NODE_LEAF: u8 = 0;
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const NODE_INTERNAL: u8 = 1;
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/// 布局偏移。
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const OFF_TYPE: usize = 0;
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const OFF_COUNT: usize = 1;
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const OFF_NEXT: usize = 3;
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const OFF_KEYS: usize = 12;
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/// 一个 order 的节点占多少字节(内部节点最坏情况:order-1 个键 + order 个孩子)。
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fn node_bytes(order: usize) -> usize {
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OFF_KEYS + max_keys(order) * 8 + order * 8
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}
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/// 一个节点最多几个键。
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fn max_keys(order: usize) -> usize {
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order - 1
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}
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/// 键后面那片区域的起点。
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fn off_payload(order: usize) -> usize {
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OFF_KEYS + max_keys(order) * 8
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}
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/// 这个 order 放得进 size 字节的页吗。
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pub fn fits_in_page(page_size: usize, order: usize) -> bool {
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order >= 2 && node_bytes(order) <= page_size
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}
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/// 给定页大小,order 最大能取多少(解 12 + (order-1)*8 + order*8 <= page_size)。
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pub fn max_order(page_size: usize) -> usize {
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page_size.saturating_sub(4) / 16
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}
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/// 读一个 u8。
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fn read_u8(p: &Page, off: usize) -> u8 {
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p.data[off]
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}
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/// 写一个 u8。
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fn write_u8(p: &mut Page, off: usize, v: u8) {
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p.data[off] = v;
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}
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/// 读一个小端 u16。
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fn read_u16(p: &Page, off: usize) -> u16 {
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u16::from_le_bytes([p.data[off], p.data[off + 1]])
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}
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/// 写一个小端 u16。
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fn write_u16(p: &mut Page, off: usize, v: u16) {
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p.data[off..off + 2].copy_from_slice(&v.to_le_bytes());
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}
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/// 读一个小端 u32。
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fn read_u32(p: &Page, off: usize) -> u32 {
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u32::from_le_bytes([p.data[off], p.data[off + 1], p.data[off + 2], p.data[off + 3]])
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}
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/// 写一个小端 u32。
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fn write_u32(p: &mut Page, off: usize, v: u32) {
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p.data[off..off + 4].copy_from_slice(&v.to_le_bytes());
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}
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/// 读一个小端 u64。
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fn read_u64(p: &Page, off: usize) -> u64 {
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let mut b = [0u8; 8];
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b.copy_from_slice(&p.data[off..off + 8]);
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u64::from_le_bytes(b)
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}
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/// 写一个小端 u64。
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fn write_u64(p: &mut Page, off: usize, v: u64) {
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p.data[off..off + 8].copy_from_slice(&v.to_le_bytes());
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}
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/// 写文件头。
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fn write_meta(page: &mut Page, page_size: usize, order: usize, root: PageId) {
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page.zero();
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page.data[0..4].copy_from_slice(META_MAGIC);
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write_u32(page, OFF_META_PAGE_SIZE, page_size as u32);
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write_u16(page, OFF_META_ORDER, order as u16);
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write_u64(page, OFF_META_ROOT, root);
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}
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/// 检查文件头和当前配置是否一致(页大小 / order 改了就会对不上)。
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fn check_meta(page: &Page, page_size: usize, order: usize) -> io::Result<()> {
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if page.data[0..4] != *META_MAGIC {
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return Err(io::Error::new(
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io::ErrorKind::InvalidData,
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"not a chusql index file (bad magic)",
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));
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}
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let stored_page = read_u32(page, OFF_META_PAGE_SIZE) as usize;
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let stored_order = read_u16(page, OFF_META_ORDER) as usize;
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if stored_page != page_size || stored_order != order {
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return Err(io::Error::new(
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io::ErrorKind::InvalidData,
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format!(
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"index file was built with page.size={} btree.order={}, config says page.size={} btree.order={}",
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stored_page, stored_order, page_size, order
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),
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));
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}
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Ok(())
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}
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/// 一个节点在内存里的样子。
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enum NodeData {
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Leaf {
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keys: Vec<i64>,
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values: Vec<u64>,
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next: PageId,
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},
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Internal {
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keys: Vec<i64>,
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children: Vec<PageId>,
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},
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}
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/// 从一页里读出节点。
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fn read_node(p: &Page, order: usize) -> NodeData {
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let ty = read_u8(p, OFF_TYPE);
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let n = read_u16(p, OFF_COUNT) as usize;
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let payload = off_payload(order);
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if ty == NODE_LEAF {
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let next = read_u64(p, OFF_NEXT);
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let mut keys = Vec::with_capacity(n);
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let mut values = Vec::with_capacity(n);
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for i in 0..n {
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keys.push(read_u64(p, OFF_KEYS + i * 8) as i64);
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values.push(read_u64(p, payload + i * 8));
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}
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NodeData::Leaf { keys, values, next }
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} else {
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let mut keys = Vec::with_capacity(n);
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let mut children = Vec::with_capacity(n + 1);
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for i in 0..n {
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keys.push(read_u64(p, OFF_KEYS + i * 8) as i64);
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}
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for i in 0..(n + 1) {
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children.push(read_u64(p, payload + i * 8));
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}
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NodeData::Internal { keys, children }
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}
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}
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/// 把节点写回一页(先清零,避免残留)。
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fn write_node(p: &mut Page, node: &NodeData, order: usize) {
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p.zero();
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let payload = off_payload(order);
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match node {
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NodeData::Leaf { keys, values, next } => {
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write_u8(p, OFF_TYPE, NODE_LEAF);
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write_u16(p, OFF_COUNT, keys.len() as u16);
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write_u64(p, OFF_NEXT, *next);
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for (i, k) in keys.iter().enumerate() {
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write_u64(p, OFF_KEYS + i * 8, *k as u64);
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}
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for (i, v) in values.iter().enumerate() {
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write_u64(p, payload + i * 8, *v);
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}
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}
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NodeData::Internal { keys, children } => {
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write_u8(p, OFF_TYPE, NODE_INTERNAL);
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write_u16(p, OFF_COUNT, keys.len() as u16);
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for (i, k) in keys.iter().enumerate() {
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write_u64(p, OFF_KEYS + i * 8, *k as u64);
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}
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for (i, c) in children.iter().enumerate() {
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write_u64(p, payload + i * 8, *c);
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}
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}
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}
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}
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/// 二分找 key 应该下探到的孩子下标。
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fn child_index(keys: &[i64], key: i64) -> usize {
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let mut lo = 0;
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let mut hi = keys.len();
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while lo < hi {
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let mid = (lo + hi) / 2;
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if keys[mid] <= key {
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lo = mid + 1;
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} else {
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hi = mid;
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}
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}
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lo
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}
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/// 磁盘版 B+ 树。
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pub struct DiskBTree {
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file: PageFile,
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order: usize,
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}
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impl DiskBTree {
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/// 打开或新建索引文件;页大小 / order 和文件头里记的不一致就报错。
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pub fn open<P: AsRef<Path>>(path: P, page_size: usize, order: usize) -> io::Result<Self> {
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if !fits_in_page(page_size, order) {
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return Err(io::Error::new(
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io::ErrorKind::InvalidInput,
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format!(
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"btree order {} does not fit in a {}-byte page (max {})",
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order,
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page_size,
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max_order(page_size)
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),
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));
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}
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let mut file = PageFile::open(path, page_size)?;
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if file.num_pages()? == 0 {
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let mut meta = Page::new(META_PAGE, page_size);
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write_meta(&mut meta, page_size, order, 0);
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file.write_page(&meta)?;
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} else {
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let meta = file.read_page(META_PAGE)?;
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check_meta(&meta, page_size, order)?;
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}
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Ok(DiskBTree { file, order })
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}
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/// 读根页号;0 表示空树。
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fn root(&mut self) -> io::Result<Option<PageId>> {
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let meta = self.file.read_page(META_PAGE)?;
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let r = read_u64(&meta, OFF_META_ROOT);
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Ok(if r == 0 { None } else { Some(r) })
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}
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/// 写根页号。
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fn set_root(&mut self, r: Option<PageId>) -> io::Result<()> {
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let mut meta = self.file.read_page(META_PAGE)?;
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write_u64(&mut meta, OFF_META_ROOT, r.unwrap_or(0));
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self.file.write_page(&meta)
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}
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/// 分配一个新页。
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fn alloc(&mut self) -> io::Result<PageId> {
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Ok(self.file.append_page()?.id)
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}
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/// 清空整棵树:截断文件后重写文件头(根页号归零)。
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pub fn clear(&mut self) -> io::Result<()> {
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let page_size = self.file.page_size();
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self.file.truncate()?;
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let mut meta = Page::new(META_PAGE, page_size);
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write_meta(&mut meta, page_size, self.order, 0);
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self.file.write_page(&meta)?;
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Ok(())
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}
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/// 空页,用来拼一个新节点。
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fn new_page(&self, id: PageId) -> Page {
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Page::new(id, self.file.page_size())
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}
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/// 按 key 找 value。
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pub fn get(&mut self, key: i64) -> io::Result<Option<u64>> {
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match self.root()? {
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None => Ok(None),
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Some(r) => self.get_rec(r, key),
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}
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}
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/// 递归查找。
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fn get_rec(&mut self, page_id: PageId, key: i64) -> io::Result<Option<u64>> {
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let p = self.file.read_page(page_id)?;
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match read_node(&p, self.order) {
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NodeData::Leaf { keys, values, .. } => {
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Ok(keys.binary_search(&key).ok().map(|i| values[i]))
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}
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NodeData::Internal { keys, children } => {
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let i = child_index(&keys, key);
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self.get_rec(children[i], key)
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}
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}
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}
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/// 插入 / 覆盖一个键值对。
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pub fn insert(&mut self, key: i64, value: u64) -> io::Result<()> {
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match self.root()? {
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None => {
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let id = self.alloc()?;
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let node = NodeData::Leaf {
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keys: vec![key],
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values: vec![value],
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next: 0,
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};
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let mut p = self.new_page(id);
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write_node(&mut p, &node, self.order);
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self.file.write_page(&p)?;
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self.set_root(Some(id))
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}
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Some(r) => {
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let (_, split) = self.insert_rec(r, key, value)?;
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if let Some((sep, right_id)) = split {
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// 根分裂:长高一层。
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let root_id = self.alloc()?;
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let node = NodeData::Internal {
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keys: vec![sep],
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children: vec![r, right_id],
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};
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let mut p = self.new_page(root_id);
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write_node(&mut p, &node, self.order);
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self.file.write_page(&p)?;
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self.set_root(Some(root_id))
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} else {
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Ok(())
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}
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}
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}
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}
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/// 递归插入;返回可能上提的 (分隔键, 新右页号)。
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fn insert_rec(
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&mut self,
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page_id: PageId,
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key: i64,
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value: u64,
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) -> io::Result<(PageId, Option<(i64, PageId)>)> {
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let p = self.file.read_page(page_id)?;
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let limit = max_keys(self.order);
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match read_node(&p, self.order) {
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NodeData::Leaf { mut keys, mut values, next } => {
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match keys.binary_search(&key) {
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Ok(i) => values[i] = value,
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Err(i) => {
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keys.insert(i, key);
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values.insert(i, value);
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}
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}
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if keys.len() <= limit {
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let mut p2 = self.new_page(page_id);
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write_node(&mut p2, &NodeData::Leaf { keys, values, next }, self.order);
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self.file.write_page(&p2)?;
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Ok((page_id, None))
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} else {
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// 叶子分裂:右叶最小键复制上提。
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let mid = keys.len() / 2;
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let rkeys = keys.split_off(mid);
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let rvalues = values.split_off(mid);
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let sep = rkeys[0];
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let right_id = self.alloc()?;
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let mut rp = self.new_page(right_id);
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write_node(
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&mut rp,
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&NodeData::Leaf { keys: rkeys, values: rvalues, next },
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self.order,
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);
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self.file.write_page(&rp)?;
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let mut lp = self.new_page(page_id);
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write_node(
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&mut lp,
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&NodeData::Leaf { keys, values, next: right_id },
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self.order,
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);
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self.file.write_page(&lp)?;
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Ok((page_id, Some((sep, right_id))))
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}
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}
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NodeData::Internal { mut keys, mut children } => {
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let i = child_index(&keys, key);
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let (new_child, split) = self.insert_rec(children[i], key, value)?;
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children[i] = new_child;
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match split {
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None => {
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let mut p2 = self.new_page(page_id);
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write_node(&mut p2, &NodeData::Internal { keys, children }, self.order);
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self.file.write_page(&p2)?;
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Ok((page_id, None))
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}
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Some((sep, right_id)) => {
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keys.insert(i, sep);
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children.insert(i + 1, right_id);
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if keys.len() <= limit {
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let mut p2 = self.new_page(page_id);
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write_node(
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&mut p2,
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&NodeData::Internal { keys, children },
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self.order,
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);
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self.file.write_page(&p2)?;
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Ok((page_id, None))
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} else {
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// 内部节点分裂:中间键上提,不再保留原件。
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let mid = keys.len() / 2;
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let up = keys[mid];
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let rkeys = keys.split_off(mid + 1);
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keys.truncate(mid);
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let rchildren = children.split_off(mid + 1);
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let right_id = self.alloc()?;
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let mut rp = self.new_page(right_id);
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write_node(
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&mut rp,
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&NodeData::Internal { keys: rkeys, children: rchildren },
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self.order,
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);
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self.file.write_page(&rp)?;
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let mut lp = self.new_page(page_id);
|
||||
write_node(
|
||||
&mut lp,
|
||||
&NodeData::Internal { keys, children },
|
||||
self.order,
|
||||
);
|
||||
self.file.write_page(&lp)?;
|
||||
|
||||
Ok((page_id, Some((up, right_id))))
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/// 按 key 升序返回所有键值对。
|
||||
pub fn iter_all(&mut self) -> io::Result<Vec<(i64, u64)>> {
|
||||
let mut out = Vec::new();
|
||||
if let Some(r) = self.root()? {
|
||||
self.walk(r, &mut out)?;
|
||||
}
|
||||
Ok(out)
|
||||
}
|
||||
|
||||
/// 中序遍历一棵子树。
|
||||
fn walk(&mut self, page_id: PageId, out: &mut Vec<(i64, u64)>) -> io::Result<()> {
|
||||
let p = self.file.read_page(page_id)?;
|
||||
match read_node(&p, self.order) {
|
||||
NodeData::Leaf { keys, values, .. } => {
|
||||
for i in 0..keys.len() {
|
||||
out.push((keys[i], values[i]));
|
||||
}
|
||||
}
|
||||
NodeData::Internal { children, .. } => {
|
||||
for c in children {
|
||||
self.walk(c, out)?;
|
||||
}
|
||||
}
|
||||
}
|
||||
Ok(())
|
||||
}
|
||||
}
|
||||
Reference in new issue
Block a user