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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<meta name="keywords" content="Hexo Theme Redefine">
<meta name="author" content="Ikko">
<!-- Completely eliminate flash of wrong theme -->
<script>
(function() {
const THEME_KEY = "REDEFINE-THEME-STATUS";
const DARK = "dark", LIGHT = "light";
// Get preferred theme
function getTheme() {
try {
const saved = localStorage.getItem(THEME_KEY);
if (saved) {
const { isDark } = JSON.parse(saved);
return isDark ? DARK : LIGHT;
}
} catch (e) {}
return matchMedia("(prefers-color-scheme: dark)").matches ? DARK : LIGHT;
}
// Apply theme to document
function applyTheme(theme) {
const isDark = theme === DARK;
const root = document.documentElement;
// Set data attribute for CSS variables
root.setAttribute("data-theme", theme);
// Set classes for compatibility
root.classList.add(theme);
root.classList.remove(isDark ? LIGHT : DARK);
root.style.colorScheme = theme;
}
// Initial application
const theme = getTheme();
applyTheme(theme);
// Listen for system preference changes
matchMedia("(prefers-color-scheme: dark)").addEventListener("change", ({ matches }) => {
// Only update if using system preference (no localStorage entry)
if (!localStorage.getItem(THEME_KEY)) {
applyTheme(matches ? DARK : LIGHT);
}
});
// Set body classes once DOM is ready
if (document.readyState !== "loading") {
document.body.classList.add(theme + "-mode");
} else {
document.addEventListener("DOMContentLoaded", () => {
document.body.classList.add(theme + "-mode");
document.body.classList.remove((theme === DARK ? LIGHT : DARK) + "-mode");
});
}
})();
</script>
<!-- Critical CSS to prevent flash -->
<style>
:root[data-theme="dark"] {
--background-color: #202124;
--background-color-transparent: rgba(32, 33, 36, 0.6);
--second-background-color: #2d2e32;
--third-background-color: #34353a;
--third-background-color-transparent: rgba(32, 33, 36, 0.6);
--primary-color: #0066CC;
--first-text-color: #ffffff;
--second-text-color: #eeeeee;
--third-text-color: #bebec6;
--fourth-text-color: #999999;
--default-text-color: #bebec6;
--invert-text-color: #373D3F;
--border-color: rgba(255, 255, 255, 0.08);
--selection-color: #0066CC;
--shadow-color-1: rgba(255, 255, 255, 0.08);
--shadow-color-2: rgba(255, 255, 255, 0.05);
}
:root[data-theme="light"] {
--background-color: #fff;
--background-color-transparent: rgba(255, 255, 255, 0.6);
--second-background-color: #f8f8f8;
--third-background-color: #f2f2f2;
--third-background-color-transparent: rgba(241, 241, 241, 0.6);
--primary-color: #0066CC;
--first-text-color: #16171a;
--second-text-color: #2f3037;
--third-text-color: #5e5e5e;
--fourth-text-color: #eeeeee;
--default-text-color: #373D3F;
--invert-text-color: #bebec6;
--border-color: rgba(0, 0, 0, 0.08);
--selection-color: #0066CC;
--shadow-color-1: rgba(0, 0, 0, 0.08);
--shadow-color-2: rgba(0, 0, 0, 0.05);
}
body {
background-color: var(--background-color);
color: var(--default-text-color);
}
/* Apply body classes as soon as DOM is ready */
:root[data-theme="dark"] body {
background-color: var(--background-color);
color: var(--default-text-color);
}
</style>
<!-- preconnect -->
<link rel="preconnect" href="https://fonts.googleapis.com">
<link rel="preconnect" href="https://fonts.gstatic.com" crossorigin>
<link rel="preconnect" href="https://registry.npmmirror.com" crossorigin>
<!--- Seo Part-->
<link rel="canonical" href="http://ikko-debug.github.io/"/>
<meta name="robots" content="index,follow">
<meta name="googlebot" content="index,follow">
<meta name="revisit-after" content="1 days">
<meta name="description" content="Hexo Theme Redefine, Redefine Your Hexo Journey.">
<meta property="og:type" content="website">
<meta property="og:title" content="IKKO">
<meta property="og:url" content="http://ikko-debug.github.io/index.html">
<meta property="og:site_name" content="IKKO">
<meta property="og:description" content="Hexo Theme Redefine, Redefine Your Hexo Journey.">
<meta property="og:locale" content="en_US">
<meta property="og:image" content="http://ikko-debug.github.io/images/redefine-og.webp">
<meta property="article:author" content="John Doe">
<meta name="twitter:card" content="summary">
<meta name="twitter:image" content="http://ikko-debug.github.io/images/redefine-og.webp">
<!-- Google tag (gtag.js) -->
<script src="https://www.googletagmanager.com/gtag/js?id=G-P5152X2PGJ"></script>
<script>
window.dataLayer = window.dataLayer || [];
function gtag(){dataLayer.push(arguments);}
gtag('js', new Date());
gtag('config', 'G-P5152X2PGJ');
</script>
<!--- Icon Part-->
<link rel="icon" type="image/png" href="/images/idea.svg" sizes="192x192">
<link rel="apple-touch-icon" sizes="180x180" href="/images/idea.svg">
<meta name="theme-color" content="#A31F34">
<link rel="shortcut icon" href="/images/idea.svg">
<!--- Page Info-->
<title>
IKKO - Redefine Your Hexo Journey.
</title>
<link rel="stylesheet" href="https://registry.npmmirror.com/hexo-theme-redefine/2.8.5/files/source/fonts/Chillax/chillax.css">
<!--- Inject Part-->
<link rel="stylesheet" href="/css/style.css">
<link rel="stylesheet" href="https://registry.npmmirror.com/hexo-theme-redefine/2.8.5/files/source/css/build/tailwind.css">
<link rel="stylesheet" href="https://registry.npmmirror.com/hexo-theme-redefine/2.8.5/files/source/fonts/GeistMono/geist-mono.css">
<link rel="stylesheet" href="https://registry.npmmirror.com/hexo-theme-redefine/2.8.5/files/source/fonts/Geist/geist.css">
<!--- Font Part-->
<script id="hexo-configurations">
window.config = {"hostname":"ikko-debug.github.io","root":"/","language":"en","path":"search.xml"};
window.theme = {"articles":{"style":{"font_size":"16px","line_height":1.5,"image_border_radius":"14px","image_alignment":"center","image_caption":false,"link_icon":true,"delete_mask":false,"title_alignment":"left","headings_top_spacing":{"h1":"3.2rem","h2":"2.4rem","h3":"1.9rem","h4":"1.6rem","h5":"1.4rem","h6":"1.3rem"}},"word_count":{"enable":true,"count":true,"min2read":true},"author_label":{"enable":true,"auto":true,"list":[""]},"code_block":{"copy":true,"style":"mac","highlight_theme":{"light":"github","dark":"vs2015"},"font":{"enable":false,"family":null,"url":null}},"toc":{"enable":true,"max_depth":3,"number":false,"expand":true,"init_open":true},"copyright":{"enable":true,"default":"cc_by_nc_sa"},"lazyload":true,"pangu_js":false,"recommendation":{"enable":false,"title":"推荐阅读","limit":3,"mobile_limit":2,"placeholder":"/images/wallhaven-wqery6-light.webp","skip_dirs":[]}},"colors":{"primary":"#A31F34","secondary":null,"default_mode":"dark"},"global":{"fonts":{"chinese":{"enable":false,"family":null,"url":null},"english":{"enable":false,"family":null,"url":null},"title":{"enable":false,"family":null,"url":null}},"content_max_width":"1000px","sidebar_width":"210px","hover":{"shadow":true,"scale":false},"scroll_progress":{"bar":false,"percentage":true},"website_counter":{"url":"https://cn.vercount.one/js","enable":true,"site_pv":true,"site_uv":true,"post_pv":true},"single_page":true,"preloader":{"enable":false,"custom_message":null},"open_graph":{"enable":true,"image":"/images/redefine-og.webp","description":"Hexo Theme Redefine, Redefine Your Hexo Journey."},"google_analytics":{"enable":true,"id":"G-P5152X2PGJ"}},"home_banner":{"enable":true,"style":"fixed","image":{"light":"/images/light.jpg","dark":"/images/dark.jpg"},"title":"若有恒，何必三更眠五更起 最无益，只怕一日曝十日寒","subtitle":{"text":[],"hitokoto":{"enable":false,"show_author":false,"api":"https://v1.hitokoto.cn"},"typing_speed":100,"backing_speed":80,"starting_delay":500,"backing_delay":1500,"loop":true,"smart_backspace":true},"text_color":{"light":"#fff","dark":"#d1d1b6"},"text_style":{"title_size":"1.5rem","subtitle_size":"1.5rem","line_height":1.2},"custom_font":{"enable":false,"family":null,"url":null},"social_links":{"enable":false,"style":"default","links":{"github":"https://github.com/ikko-debug","instagram":null,"zhihu":null,"twitter":null,"email":null},"qrs":{"weixin":null}}},"plugins":{"feed":{"enable":false},"aplayer":{"enable":false,"type":"fixed","audios":[{"name":null,"artist":null,"url":null,"cover":null,"lrc":null}]},"mermaid":{"enable":false,"version":"11.4.1"}},"version":"2.8.5","navbar":{"auto_hide":false,"color":{"left":"#f78736","right":"#367df7","transparency":35},"width":{"home":"1200px","pages":"1000px"},"links":{"Home":{"path":"/","icon":"fa-regular fa-house"},"Archives":{"path":"/archives","icon":"fa-regular fa-archive"},"FriendLinks":{"icon":"fa-solid fa-link","submenus":{"yebao":"https://danmoliuhen.github.io/","wu-22":"https://wu-22.github.io/","jjb":"https://byjiangjb.github.io/"}},"album":{"icon":"fa-solid fa-image","path":"/masonry/"},"Bookmarks":{"icon":"fa-solid fa-bookmark","path":"/bookmarks/"}},"search":{"enable":true,"preload":true}},"page_templates":{"friends_column":2,"tags_style":"blur"},"home":{"sidebar":{"enable":true,"position":"left","first_item":"menu","announcement":"never","show_on_mobile":true,"links":null},"article_date_format":"auto","excerpt_length":200,"categories":{"enable":true,"limit":3},"tags":{"enable":true,"limit":3}},"footerStart":"2022/8/17 11:45:14"};
window.lang_ago = {"second":"%s seconds ago","minute":"%s minutes ago","hour":"%s hours ago","day":"%s days ago","week":"%s weeks ago","month":"%s months ago","year":"%s years ago"};
window.data = {"masonry":true};
</script>
<!--- Fontawesome Part-->
<link rel="stylesheet" href="https://registry.npmmirror.com/hexo-theme-redefine/2.8.5/files/source/fontawesome/fontawesome.min.css">
<link rel="stylesheet" href="https://registry.npmmirror.com/hexo-theme-redefine/2.8.5/files/source/fontawesome/brands.min.css">
<link rel="stylesheet" href="https://registry.npmmirror.com/hexo-theme-redefine/2.8.5/files/source/fontawesome/solid.min.css">
<link rel="stylesheet" href="https://registry.npmmirror.com/hexo-theme-redefine/2.8.5/files/source/fontawesome/regular.min.css">
<meta name="generator" content="Hexo 6.3.0"><style>mjx-container[jax="SVG"] {
direction: ltr;
}
mjx-container[jax="SVG"] > svg {
overflow: visible;
}
mjx-container[jax="SVG"][display="true"] {
display: block;
text-align: center;
margin: 1em 0;
}
mjx-container[jax="SVG"][justify="left"] {
text-align: left;
}
mjx-container[jax="SVG"][justify="right"] {
text-align: right;
}
g[data-mml-node="merror"] > g {
fill: red;
stroke: red;
}
g[data-mml-node="merror"] > rect[data-background] {
fill: yellow;
stroke: none;
}
g[data-mml-node="mtable"] > line[data-line] {
stroke-width: 70px;
fill: none;
}
g[data-mml-node="mtable"] > rect[data-frame] {
stroke-width: 70px;
fill: none;
}
g[data-mml-node="mtable"] > .mjx-dashed {
stroke-dasharray: 140;
}
g[data-mml-node="mtable"] > .mjx-dotted {
stroke-linecap: round;
stroke-dasharray: 0,140;
}
g[data-mml-node="mtable"] > svg {
overflow: visible;
}
[jax="SVG"] mjx-tool {
display: inline-block;
position: relative;
width: 0;
height: 0;
}
[jax="SVG"] mjx-tool > mjx-tip {
position: absolute;
top: 0;
left: 0;
}
mjx-tool > mjx-tip {
display: inline-block;
padding: .2em;
border: 1px solid #888;
font-size: 70%;
background-color: #F8F8F8;
color: black;
box-shadow: 2px 2px 5px #AAAAAA;
}
g[data-mml-node="maction"][data-toggle] {
cursor: pointer;
}
mjx-status {
display: block;
position: fixed;
left: 1em;
bottom: 1em;
min-width: 25%;
padding: .2em .4em;
border: 1px solid #888;
font-size: 90%;
background-color: #F8F8F8;
color: black;
}
foreignObject[data-mjx-xml] {
font-family: initial;
line-height: normal;
overflow: visible;
}
.MathJax path {
stroke-width: 3;
}
mjx-container[display="true"] {
overflow: auto hidden;
}
mjx-container[display="true"] + br {
display: none;
}
</style></head>
<body>
<div class="progress-bar-container">
<span class="pjax-progress-bar"></span>
<!-- <span class="swup-progress-icon">-->
<!-- <i class="fa-solid fa-circle-notch fa-spin"></i>-->
<!-- </span>-->
</div>
<main class="page-container" id="swup">
<style>
.home-banner-container {
background: none !important;
}
.home-article-item,
.sidebar-links,
.sidebar-content,
a.page-number,
a.extend,
.sidebar-links .links:hover,
.right-bottom-tools,
footer.footer {
background-color: var(--background-color-transparent-80) !important;
}
.right-bottom-tools:hover,
a.page-number:hover,
a.extend:hover {
background-color: var(--primary-color) !important;
}
.site-info,
.home-article-sticky-label {
background-color: var(--background-color-transparent-15) !important;
}
.home-article-sticky-label {
backdrop-filter: none !important;
}
</style>
<div class="home-banner-background transition-fade fixed top-0 left-0 w-screen h-screen scale-125 sm:scale-110 box-border will-change-transform bg-cover">
<img src="/images/light.jpg" alt="home-banner-background" class="w-full h-full object-cover dark:hidden">
<img src="/images/dark.jpg" alt="home-banner-background" class="w-full h-full object-cover hidden dark:block">
</div>
<div class="home-banner-container flex justify-center items-center transition-fade relative">
<div class="content mt-8 flex flex-col justify-center items-center transition-fade-down">
<div class="description flex flex-col justify-center items-center w-screen font-medium text-center"
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手撕attention
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手撕 Attention这篇用两个版本把 Scaled Dot-Product Attention 从零实现一遍：
纯 Python 版：方便看清楚每一步数学细节。
PyTorch 版：直接可用于训练和推理。
先回顾公式（单头）：
$$\text{Attention}(Q, K, V) = \text{softmax}\left(\frac{QK^T}{\sqrt{d_k}} ...
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特性1）PagedAttention把 KV Cache 按 block/page 管理，而不是给每个请求预留一整段连续显存，减少碎片，提高显存利用率。 
2）Continuous batching不是等一批请求凑齐再跑，而是在每个 decode step 动态加入新请求、移除完成请求，让 GPU 一直尽量满载。 
3）Automatic Prefix Caching相同前缀 ...
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qwen部署
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环境与部署1234567conda create -n vllm-qwen python=3.11 -yconda activate vllm-qwenpython -m pip install -U pip setuptools wheelpip install -U vllmpip install -U "transformers>=4.56.0,<5" ...
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C++面经
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构造函数初始化列表与构造函数体内赋值的区别
先看两种写法：
class A {public: A(int x) : a(x) {} // 初始化列表private: int a;};
class A {public: A(int x) { a = x; // 构造函数体内赋值 }...
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大模型
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大模型参数量和显存的换算关系1B参数对应多少G显存？B和G都是十亿（1000M或1024M）的意思，M是100万的意思，平时说模型参数有xB就是说有x十亿个参数，平时说显存有多少G/M是说有多少G/M个字节（byte），1个字节=8比特（bit），那么，1B模型参数对应多少G内存和参数的精度有关，如果是全精度训练（fp32），一个参数对应32比特，也就是4个字节...
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测试~/Learning-CUDA目录下
1234567891011121314151617# 默认 bf16make nf4# 显式指定 dtypemake nf4 DTYPE=fp16make nf4 DTYPE=bf16# 简写（等价于上面的 DTYPE）make nf4 fp16make nf4 bf16# 指定 GPUmake nf4 CUDA_DEVICE=7make ...