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test-repo/docs/.vitepress/theme/components/appendix/database-intro/BPlusTreeDemo.vue
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<template>
<div class="btree-demo">
<div class="demo-header">
<span class="icon">🌳</span>
<span class="title">B+ 树索引演示</span>
<span class="subtitle">理解数据库如何快速查找数据</span>
</div>
<div class="intro-text">
想象你要在<span class="highlight">字典</span>里找一个字你会先看目录定位到首字母的区域再在这个区域里找具体页码B+ 树就是这样的<span class="highlight">多层目录</span>让数据库在 10 亿条数据中 3 次就能找到目标
</div>
<div class="comparison">
<div class="compare-card scan">
<div class="card-header">
<span class="icon">🐢</span>
<span class="title">全表扫描</span>
</div>
<div class="card-content">
<div class="data-rows">
<div v-for="i in 20" :key="i" class="data-row" :class="{ found: scanMode === 'found' && i === targetId }">
<span class="row-id">{{ String(i).padStart(3, '0') }}</span>
<span class="row-name">用户{{ i }}</span>
</div>
</div>
<div class="scan-info">
<p v-if="!scanMode">👆 点击"开始查找"看全表扫描有多慢</p>
<p v-else-if="scanMode === 'scanning'">正在扫描... {{ scanCount }} </p>
<p v-else class="found"> 找到了扫描了 {{ scanCount }} 条记录耗时 {{ scanTime }}</p>
</div>
<button v-if="!scanMode" @click="startScan" class="btn">开始查找</button>
</div>
</div>
<div class="compare-card index">
<div class="card-header">
<span class="icon"></span>
<span class="title">索引查找</span>
</div>
<div class="card-content">
<div class="tree-structure">
<div class="tree-level root">
<div class="node-label">根节点</div>
<div class="node">1-100</div>
</div>
<div class="tree-level intermediate">
<div class="node-label">中间节点</div>
<div class="node">1-10</div>
</div>
<div class="tree-level leaf">
<div class="node-label">叶子节点</div>
<div
v-for="i in 10"
:key="i"
class="node leaf-node"
:class="{ found: indexMode === 'found' && i === targetId }"
>
{{ i }}
</div>
</div>
</div>
<div class="index-info">
<p v-if="!indexMode">👆 点击"开始查找"看索引有多快</p>
<p v-else-if="indexMode === 'searching'">正在搜索... {{ indexStep }} </p>
<p v-else class="found"> 找到了只用了 {{ indexSteps.length }} 耗时 {{ indexTime }}</p>
</div>
<button v-if="!indexMode" @click="startIndex" class="btn">开始查找</button>
</div>
</div>
</div>
<div class="stats-box">
<div class="stat-item">
<div class="stat-label">数据量</div>
<div class="stat-value">100 万条</div>
</div>
<div class="stat-item">
<div class="stat-label">全表扫描</div>
<div class="stat-value slow">平均 50 万次比较</div>
</div>
<div class="stat-item">
<div class="stat-label">B+ 树索引</div>
<div class="stat-value fast"> 3 次比较</div>
</div>
<div class="stat-item">
<div class="stat-label">速度提升</div>
<div class="stat-value highlight">10 万倍+</div>
</div>
</div>
<div class="info-box">
<span class="icon">💡</span>
<strong>核心原理</strong>B+ 树通过"矮胖"的设计让树的高度只有 3-4 每层可以存储成百上千个键值所以 10 亿数据也只需要 3 次磁盘 I/O这就是数据库查询飞快的秘密
</div>
</div>
</template>
<script setup>
import { ref } from 'vue'
const targetId = ref(7)
const scanMode = ref(null)
const scanCount = ref(0)
const scanTime = ref(0)
const indexMode = ref(null)
const indexStep = ref(0)
const indexSteps = ref([])
const indexTime = ref(0)
const startScan = () => {
scanMode.value = 'scanning'
scanCount.value = 0
let count = 0
const interval = setInterval(() => {
count += Math.floor(Math.random() * 3) + 1
scanCount.value = count
if (count >= targetId.value) {
clearInterval(interval)
scanMode.value = 'found'
scanTime.value = (count * 0.001).toFixed(3)
}
}, 30)
}
const startIndex = () => {
indexMode.value = 'searching'
indexStep.value = 0
indexSteps.value = ['根节点', '中间节点', '叶子节点']
const steps = ['根节点 (1-100)', '中间节点 (1-10)', '叶子节点 (找到 7)']
let currentStep = 0
const interval = setInterval(() => {
currentStep++
indexStep.value = currentStep
if (currentStep >= 3) {
clearInterval(interval)
indexMode.value = 'found'
indexTime.value = (0.003).toFixed(3)
}
}, 500)
}
</script>
<style scoped>
.btree-demo {
border: 1px solid var(--vp-c-divider);
border-radius: 8px;
background: var(--vp-c-bg-soft);
padding: 1rem;
margin: 1rem 0;
}
.demo-header {
display: flex;
align-items: center;
gap: 0.5rem;
margin-bottom: 0.75rem;
}
.demo-header .icon { font-size: 1.25rem; }
.demo-header .title { font-weight: bold; font-size: 1rem; }
.demo-header .subtitle { color: var(--vp-c-text-2); font-size: 0.85rem; margin-left: 0.5rem; }
.intro-text {
font-size: 0.9rem;
color: var(--vp-c-text-2);
line-height: 1.6;
margin-bottom: 1rem;
padding: 0.75rem;
background: var(--vp-c-bg);
border-radius: 6px;
}
.intro-text .highlight {
color: var(--vp-c-brand-1);
font-weight: 500;
}
.comparison {
display: grid;
grid-template-columns: 1fr 1fr;
gap: 1rem;
margin-bottom: 1rem;
}
@media (max-width: 768px) {
.comparison {
grid-template-columns: 1fr;
}
}
.compare-card {
background: var(--vp-c-bg);
border-radius: 8px;
overflow: hidden;
border: 1px solid var(--vp-c-divider);
}
.card-header {
display: flex;
align-items: center;
gap: 0.5rem;
padding: 0.5rem 0.75rem;
background: var(--vp-c-bg-soft);
border-bottom: 1px solid var(--vp-c-divider);
}
.card-header .icon { font-size: 1rem; }
.card-header .title { font-weight: 600; font-size: 0.85rem; }
.card-content {
padding: 0.75rem;
}
.data-rows {
display: grid;
grid-template-columns: repeat(5, 1fr);
gap: 4px;
margin-bottom: 0.75rem;
}
.data-row {
display: flex;
flex-direction: column;
align-items: center;
padding: 4px;
background: var(--vp-c-bg-soft);
border-radius: 4px;
font-size: 0.65rem;
transition: background 0.2s;
}
.data-row.found {
background: rgba(34, 197, 94, 0.2);
border: 1px solid #22c55e;
}
.row-id {
font-weight: 600;
color: var(--vp-c-text-2);
}
.row-name {
color: var(--vp-c-text-3);
}
.tree-structure {
display: flex;
flex-direction: column;
align-items: center;
gap: 0.5rem;
margin-bottom: 0.75rem;
}
.tree-level {
display: flex;
flex-direction: column;
align-items: center;
gap: 4px;
}
.node-label {
font-size: 0.65rem;
color: var(--vp-c-text-3);
}
.node {
padding: 6px 12px;
background: var(--vp-c-brand);
color: white;
border-radius: 6px;
font-size: 0.75rem;
font-weight: 500;
min-width: 60px;
text-align: center;
}
.leaf {
display: flex;
flex-wrap: wrap;
gap: 4px;
justify-content: center;
}
.leaf-node {
min-width: 28px;
padding: 4px 8px;
background: var(--vp-c-bg-soft);
color: var(--vp-c-text-1);
border: 1px solid var(--vp-c-divider);
}
.leaf-node.found {
background: rgba(34, 197, 94, 0.2);
border-color: #22c55e;
color: #22c55e;
}
.scan-info, .index-info {
text-align: center;
font-size: 0.75rem;
color: var(--vp-c-text-2);
margin-bottom: 0.75rem;
min-height: 40px;
display: flex;
align-items: center;
justify-content: center;
}
.scan-info .found, .index-info .found {
color: #22c55e;
font-weight: 500;
}
.btn {
width: 100%;
padding: 8px;
background: var(--vp-c-brand);
color: white;
border: none;
border-radius: 6px;
font-size: 0.85rem;
cursor: pointer;
transition: background 0.2s;
}
.btn:hover {
background: var(--vp-c-brand-1);
}
.stats-box {
display: grid;
grid-template-columns: repeat(4, 1fr);
gap: 0.5rem;
margin-bottom: 0.75rem;
}
@media (max-width: 640px) {
.stats-box {
grid-template-columns: repeat(2, 1fr);
}
}
.stat-item {
background: var(--vp-c-bg);
padding: 0.75rem;
border-radius: 6px;
text-align: center;
}
.stat-label {
font-size: 0.7rem;
color: var(--vp-c-text-3);
margin-bottom: 0.25rem;
}
.stat-value {
font-size: 0.9rem;
font-weight: 600;
color: var(--vp-c-text-1);
}
.stat-value.slow {
color: #ef4444;
}
.stat-value.fast {
color: #22c55e;
}
.stat-value.highlight {
color: var(--vp-c-brand-1);
}
.info-box {
background: var(--vp-c-bg-alt);
padding: 0.75rem;
border-radius: 6px;
font-size: 0.85rem;
color: var(--vp-c-text-2);
line-height: 1.5;
}
.info-box .icon { margin-right: 0.25rem; }
</style>