diff --git a/.gitignore b/.gitignore index 94f1119..43620f4 100644 --- a/.gitignore +++ b/.gitignore @@ -1,2 +1,4 @@ .DS_Store .vscode +__pycache__ +*.pyc diff --git a/Lectures/Lecture3/Codes/makefile b/Lectures/Lecture3/Codes/makefile new file mode 100644 index 0000000..f3b2213 --- /dev/null +++ b/Lectures/Lecture3/Codes/makefile @@ -0,0 +1,13 @@ +CC := gcc +CFLAGS := -Wall -Wextra -Werror -g -std=c11 +TARGET := stack + +all: $(TARGET) + +$(TARGET): %:%.c + $(CC) $(CFLAGS) -o $@ $< + +clean: + -rm -rf $(TARGET) + +.PHONY: all clean diff --git a/Lectures/Lecture3/Codes/os-exec/makefile b/Lectures/Lecture3/Codes/os-exec/makefile new file mode 100644 index 0000000..ee37e0a --- /dev/null +++ b/Lectures/Lecture3/Codes/os-exec/makefile @@ -0,0 +1,21 @@ +all: minimal static + +minimal.o: minimal.c + gcc -c -o $@ $< + +minimal: minimal.o + ld -o $@ $< + +minimal-asm: minimal + objdump -d $< + +static: minimal.o + gcc -static -o $@ $< + +static-asm: static + objdump -d $< + +clean: + -rm -f minimal.o minimal static + +.PHONY: all minimal-asm static-asm clean diff --git a/Lectures/Lecture3/Codes/os-exec/minimal.c b/Lectures/Lecture3/Codes/os-exec/minimal.c new file mode 100644 index 0000000..19311a0 --- /dev/null +++ b/Lectures/Lecture3/Codes/os-exec/minimal.c @@ -0,0 +1,17 @@ +#include +#include + +const char str[] = "\033[01;31mHello, OS World\033[0m\n"; +const int str_size = sizeof str - 1; + +int main(void) { + asm volatile("movl %0, %%eax\n\t" // 系统调用号：SYS_write + "movl $1, %%edi\n\t" // 文件描述符：STDOUT_FILENO (标准输出) + "movq %2, %%rsi\n\t" // 字符串地址 + "movl %3, %%edx\n\t" // 字符串长度 + "syscall" // 调用系统调用 + : + : "r"(SYS_write), "r"(STDOUT_FILENO), "r"(str), "r"(str_size) + : "eax", "edi", "rsi", "edx"); + return 0; +} diff --git a/Lectures/Lecture3/Codes/os-model/main.c b/Lectures/Lecture3/Codes/os-model/main.c new file mode 100644 index 0000000..9e1c054 --- /dev/null +++ b/Lectures/Lecture3/Codes/os-model/main.c @@ -0,0 +1,57 @@ +#include +#include +#include "os.h" + +/* +In this model, we have a mini Operating System that can run multiple processes. +Each process has a context that contains two variables: remainingStep and charToOutput. +remainingStep is the number of steps that a process will run and then exit by doing a syscall EXIT. +charToOutput is the character that a process will write to the console by doing a syscall WRITE. +在这个模型中，我们模拟了一个简单的操作系统，可以运行多个进程. +每个进程有一个上下文，包含两个变量：remainingStep 和 charToOutput. +程序将运行，并不断发起系统调用，请求操作系统向终端中写入字符 charToOutput. +在写入了 remainingStep 次后, 进程将会使用系统调用 SYS_EXIT 退出。 + */ + + +void run() { + Process *current; + while (process_count()) { + // The Operating System will randomly choose a process to run + // 操作系统会随机选择一个进程来运行 + current = process_schedule(); + + // Switch process context and run it until a syscall + // 切换进程上下文并运行，直到发起系统调用 + Syscall call = process_step(current); + + if (call.syscall == SYS_EXIT) { + // Process exits + // 进程退出 + process_exit(current); + } else if (call.syscall == SYS_WRITE) { + // Write the character from syscall arg to the console + // 将系统调用参数中的字符写入终端 + putchar(call.arg); + } + } + putchar('\n'); +} + +int main() { + // Initialize the Operating System + // 初始化操作系统 + init(); + + // spawn processes + // 创建进程 + spawn_process(5, 'A'); + spawn_process(5, 'B'); + spawn_process(5, 'C'); + + // start running + // 开始运行 + run(); + + return 0; +} diff --git a/Lectures/Lecture3/Codes/os-model/makefile b/Lectures/Lecture3/Codes/os-model/makefile new file mode 100644 index 0000000..87cc05b --- /dev/null +++ b/Lectures/Lecture3/Codes/os-model/makefile @@ -0,0 +1,14 @@ +CC=gcc +CFLAGS=-Wall -Wextra -Werror -std=c11 +TARGET=main + +$(TARGET): main.c os.c os.h + $(CC) -o $(TARGET) main.c os.c $(CFLAGS) + +all: $(TARGET) + +run: $(TARGET) + ./$(TARGET) + +clean: + rm -f $(TARGET) diff --git a/Lectures/Lecture3/Codes/os-model/os.c b/Lectures/Lecture3/Codes/os-model/os.c new file mode 100644 index 0000000..f6bee1a --- /dev/null +++ b/Lectures/Lecture3/Codes/os-model/os.c @@ -0,0 +1,61 @@ +#include "os.h" +#include +#include + +void init() { + srand(time(NULL)); +} + +Process procArray[MAX_PROC]; +Process *runningProcess[MAX_PROC]; + +unsigned int procCount = 0; + +int process_count() { + return procCount; +} + +int spawn_process(int var1, char var2) { + if (procCount >= MAX_PROC) { + return -1; + } else { + // Initialize process + Process *proc = &procArray[procCount]; + proc->remainingStep = var1; // A process will run var1 step(s) + proc->charToOutput = var2; // A process will write this character to console + runningProcess[procCount] = proc; + procCount ++; + return 0; + } +} + +Process *process_schedule() { + int i = rand() % procCount; + return runningProcess[i]; +} + +Syscall process_step(Process *proc) { + Syscall call; + if (proc->remainingStep > 0) { + proc->remainingStep --; + call.syscall = SYS_WRITE; + call.arg = proc->charToOutput; + } else { + call.syscall = SYS_EXIT; + call.arg = 0; + } + return call; +} + +void process_exit(Process *proc) { + for (unsigned int i = 0; i < procCount; i++) { + if (runningProcess[i] == proc) { + for (unsigned int j = i; j < procCount - 1; j++) { + runningProcess[j] = runningProcess[j + 1]; + } + runningProcess[procCount - 1] = NULL; + procCount --; + break; + } + } +} diff --git a/Lectures/Lecture3/Codes/os-model/os.h b/Lectures/Lecture3/Codes/os-model/os.h new file mode 100644 index 0000000..80c7e49 --- /dev/null +++ b/Lectures/Lecture3/Codes/os-model/os.h @@ -0,0 +1,32 @@ +#ifndef __OS_H__ +#define __OS_H__ + +#define MAX_PROC 4 + +typedef struct { + int remainingStep; // A process will run remainingStep steps + char charToOutput; // A process will write this character to console by doing a syscall +} Process; // Process's Context + +enum { + SYS_EXIT, // Process exits + SYS_WRITE, // Write to console with a character + SYS_EXEC, // Execute a new process with a character +}; +// If you know what we are doing, you can implement the exec syscall by yourself +// You can also implement other syscalls if you want +// You can do this as a lab exercise + +typedef struct { + unsigned int syscall; + char arg; +} Syscall; + +void init(); +int process_count(); +int spawn_process(int var1, char var2); +Process *process_schedule(); +Syscall process_step(Process *proc); +void process_exit(Process *proc); + +#endif \ No newline at end of file diff --git a/Lectures/Lecture3/Codes/stack.c b/Lectures/Lecture3/Codes/stack.c new file mode 100644 index 0000000..36e5899 --- /dev/null +++ b/Lectures/Lecture3/Codes/stack.c @@ -0,0 +1,11 @@ +#include +#include + +int main(void) { + int x = 1; + void *y = malloc(sizeof(int)); + printf("stack: %p\n", (void *)&x); + printf("heap : %p\n", y); + free(y); + return 0; +} diff --git a/Lectures/Lecture3/Lecture3/index.html b/Lectures/Lecture3/Lecture3/index.html new file mode 100644 index 0000000..2ec35a7 --- /dev/null +++ b/Lectures/Lecture3/Lecture3/index.html @@ -0,0 +1,444 @@ + + + + + + + + + + + lecture3 + + + + + + + + + + + + + + + + +
+
+

从软件到硬件

+ +

+

+ + 自由，M4yGem1ni + +

+
+
+

+ +

+ +

+ NekoBytes +

+ + +
+ +
+ +

计算机的数学视角

+
+

计算机系统是严格的数学对象：没有魔法；计算机系统的一切行为都是可观测、可理解的。

+
+
    +
  • 状态机模型
    • +
  • 计算机的状态机视角
    • +
  • 指令集
    • +
  • 汇编语言和机器语言
    • +
  • 冯·诺伊曼体系结构
    • +

状态机模型

+

状态机: 表示有限个状态以及在这些状态之间的转移和动作等行为的数学计算模型

+
    +
  • 状态
    • +
  • 会根据输入（激励）改变自身的状态
    • +
  • 简单的状态机
      +
    • 安静状态 → 看到人 → 吠叫状态
      • +
    • 吠叫状态 → 人给香肠 → 进食状态
      • +
    • 进食状态 → 吃完香肠 → 安静状态
      • +
    +
    • +

计算机是个状态机

+
    +
  • 状态：各个设备的电路状态
    • +
  • 激励：外部的输入（鼠标、键盘）
    • +
+

程序是个状态机

+
    +
  • 状态：寄存器、内存
    • +
  • 激励：执行新的指令
    • +

指令集

+
    +
  • 输入的指令 -> 要做什么操作
    • +
  • 程序员和CPU的一种约定
    • +
  • 常见的指令集:
      +
    • x86_64(amd64)
      • +
    • ARM
      • +
    • RISC-V
      • +
    • MISP
      • +
    • LoongArch
      • +
    +
    • +

汇编语言和机器语言

+
    +
  • 机器语言
    • +
+
00000040: 4111 06e4 22e0 0008 1705 0000 1305 0500
+00000050: 9700 0000 e780 0000 8147 3e85 a260 0264
+00000060: 4101 8280
+
+ +
    +
  • 汇编语言
    • +
+
main:
+        addi    sp,sp,-16
+        sd      ra,8(sp)
+        sd      s0,0(sp)
+        addi    s0,sp,16
+
+ +

几乎是简单的替换

汇编语言和机器语言

+

几乎是简单的替换

+
0000000000000000 <main>:
+   0: 1141        addi sp,sp,-16
+   2: e406        sd     ra,8(sp)
+   4: e022        sd     s0,0(sp)
+   6: 0800        addi s0,sp,16
+   8: 00000517    auipc a0,0x0
+   c: 00050513    mv a0,a0
+  10: 00000097    auipc ra,0x0
+  14: 000080e7    jalr ra #10 <main+0x10>
+  18: 4781        li a5,0
+  1a: 853e        mv a0,a5
+  1c: 60a2        ld ra,8(sp)
+  1e: 6402        ld s0,0(sp)
+  20: 0141        addi sp,sp,16
+  22: 8082        ret
+

体会高级语言到机器语言

+
    +
  • C语言main.c -> 汇编语言main.S
    • +
+
gcc ./main.c -S ./main.S
+
+ +
    +
  • 汇编语言main.S -> 可执行文件main
    • +
+
gcc ./main.S -o ./main
+
+ +
+

main并不只包含了机器语言，还包含了指示系统如何运行这个文件的信息。

+

图灵机

+
    +
  • CPU如何自动计算？
    • +
  • 下一条指令在哪里？ —— 程序计数器PC
    • +
+
while (1) {
+  从PC指示的存储器位置取出指令;
+  执行指令;
+  更新PC;
+}
+
+ +
    +
  • 图灵机
      +
    • 存储器、PC、加法器
      • +
    • 从PC指示的存储器位置取指 -> 执行 -> 更新PC
      • +
    +
    • +

计算机的硬件视角

+
    +
  • 冯·诺伊曼体系结构
    • +
  • 逻辑门电路
    • +
  • 运算器
    • +
  • 处理器
    • +

冯·诺伊曼体系结构

+
    +
  • +

    运算器：ALU

    +
    • +
  • +

    控制器：逻辑电路控制器

    +
    • +
  • +

    存储器：内存、寄存器

    +
    • +
  • +

    总线：

    +
      +
    • 输入设备：键盘、鼠标
      • +
    • 输出设备：显示器
      • +
    +
    • +
+
+

冯·诺伊曼体系结构的核心思想

+
    +
  • 使用二进制表示数据
    • +
  • 程序指令和数据并存
    • +
  • 计算机的五个基本组成部分
    • +
+

CPU的执行过程

+
addi x1, x0, 0xf 0x00f00093
+
+ +

逻辑电路

+
+

定义如下规则：

+
+
    +
  • 非门：一个输入，一个输出，输入输出相反。
    • +
  • 与门：两个输入，一个输出。两边全是1，则输出为1，否则为0
    • +
  • 或门：两个输入，一个输出。两边有一个是1，则输出为1，否则为0
    • +
  • 异或门：两个输入，一个输出。两边不同，则输出为1，否则为0
    • +
+

Computation Structure

加法

+

使用两个异或门和两个与门和一个或门，实现了一个加法器

+
+ +
    +
  • A,B：对应的两个加数
    • +
  • Cin：前一项的进位
    • +
  • S：计算结果（A,B,Cin有奇数个1则输出1）
    • +
  • Cout：进位(A,B,Cin有两个为1则输出1)
    • +
+
+ +

抽象

+

将之前的电路抽象成一个icon +这样便无需在意里面的具体细节

+
+ +

加法器组合

+
+ +

逐个拼接就能实现32位，乃至64位的加法

+
+
    +
  • AFN为1代表是减法
    • +
  • 减法是以加法为基础来进行计算的
    • +
+
+ +

再次抽象

+
+ +

将这个电路模型抽象为一个icon

+
+ +

按照这个思路构建ALUMNI

+
+ +
    +
  • SHIFT：实现数据的移位
    • +
  • BOOL：进行布尔运算
    • +
  • AIRTH：进行加法减法运算
    • +
  • CMP：与AIRTH紧密结合，根据其输出判断A,B大小关系
    • +
+
+ +

构建CPU

+

按照这个思路继续抽象，便能得到一个CPU的模型

+
+ +

操作系统

+
+

可执行文件并不只包含了该程序的机器语言，还包含了指示系统如何运行这个文件的信息。

+
+
    +
  • 什么是操作系统？
    • +
  • 硬件视角的操作系统
    • +
  • Three Easy Pieces
    • +

实验 - 验证可执行文件

+
wget -r -nH --cut-dirs=5 https://e1psycongroo.github.io/NekoBytes-TheMissing/_site/resources/Lecture3/Codes/os-exec
+
+ +
#include <sys/syscall.h>
+#include <unistd.h>
+const char str[] = "\033[01;31mHello, OS World\033[0m\n";
+const int str_size = sizeof str - 1;
+int main(void) {
+  asm volatile("movl %0, %%eax\n\t" // 系统调用号：SYS_write
+               "movl $1, %%edi\n\t" // 文件描述符：STDOUT_FILENO (标准输出)
+               "movq %2, %%rsi\n\t" // 字符串地址
+               "movl %3, %%edx\n\t" // 字符串长度
+               "syscall"            // 调用系统调用
+               :
+               : "r"(SYS_write), "r"(STDOUT_FILENO), "r"(str), "r"(str_size)
+               : "eax", "edi", "rsi", "edx");
+  return 0;
+}
+

什么是操作系统？

+

+
管理进程、服务进程、管理硬件

内存模型与规范

+
    +
  • 指令集、编译器、操作系统遵循同一规范
    • +
  • System V ABI
    • +
+

实验 - 栈和堆的地址

+
wget https://e1psycongroo.github.io/NekoBytes-TheMissing/_site/resources/Lecture3/Codes/stack.c
+
+ +
#include <stdio.h>
+#include <stdlib.h>
+int main(void) {
+    int x = 1;
+    void *y = malloc(sizeof(int));
+    printf("stack: %p\n", (void *)&x);
+    printf("heap : %p\n", y);
+    free(y);
+    return 0;
+}
+
+ +

可能的输出：

+
stack: 0x7ffd27bb38dc
+heap : 0x59e598fe42a0
+

硬件视角的操作系统

+
    +
  • 只是一个简单的程序（裸机程序）
    • +
  • 但是直接操作硬件
    • +
  • 直接发送指令给磁盘
    • +
  • 直接接受键盘的原始输入
    • +
  • 直接……
    • +
  • 以特殊的方式启动其它程序，就像调用一个函数一样
    • +
  • 将程序加载到内存中，并跳转到程序的入口处。
    • +

Three Easy Pieces

+
    +
  • 虚拟化
      +
    • 所有进程都以为自己有一整个苹果吃
      • +
    • 以为自己独占CPU、内存……
      • +
    +
    • +
  • 并行
      +
    • 浏览器、VSCode等程序一起运行，同时？
      • +
    • 在CPU上不断切换正在运行的程序
      • +
    +
    • +
  • 持久化
      +
    • 我的2048Game出现了16384！但是这游戏不能存档😭😭😭
      • +
    • 组织文件系统
      • +
    +
    • +

拓展 - 操作系统仿真

+
wget -r -nH --cut-dirs=5 https://e1psycongroo.github.io/NekoBytes-TheMissing/_site/resources/Lecture3/Codes/os-model
+
+ +
enum {
+    SYS_EXIT,  // Process exits
+    SYS_WRITE, // Write to console with a character
+};
+
+typedef struct {
+    unsigned int syscall;
+    char arg;
+} Syscall;
+
+ +
typedef struct {
+    int  remainingStep; // A process will run remainingStep steps
+    char charToOutput;  // A process will write this character
+                        // to console by doing a syscall
+} Process; // Process's Context
+

拓展 - 操作系统仿真

+
void run() {
+    Process *current;
+    while (process_count()) {
+        // The Operating System will randomly
+        // choose a process to run
+        current = process_schedule();
+        // Switch process context and run it until a syscall
+        Syscall call = process_step(current);
+        if (call.syscall == SYS_EXIT) {
+            // Process exits
+            process_exit(current);
+        } else if (call.syscall == SYS_WRITE) {
+            // Write the character from syscall arg to the console
+            putchar(call.arg);
+        }
+    }
+    putchar('\n');
+}
+

拓展 - 操作系统仿真

+
int main() {
+    // Initialize the Operating System
+    init();
+    // spawn processes
+    spawn_process(5, 'A');
+    spawn_process(5, 'B');
+    spawn_process(5, 'C');
+    // start running
+    run();
+    return 0;
+}
+
+ +

可能的输出：

+
AABCCCBBBCBCAAA
+BBAACCCABBACCAB
+CAAACBCCBBAACBB
+
+
+
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dense}.\32xl\:auto-rows-auto{grid-auto-rows:auto}.\32xl\:auto-rows-min{grid-auto-rows:min-content}.\32xl\:auto-rows-max{grid-auto-rows:max-content}.\32xl\:auto-rows-fr{grid-auto-rows:minmax(0,1fr)}.\32xl\:grid-cols-1{grid-template-columns:repeat(1,minmax(0,1fr))}.\32xl\:grid-cols-2{grid-template-columns:repeat(2,minmax(0,1fr))}.\32xl\:grid-cols-3{grid-template-columns:repeat(3,minmax(0,1fr))}.\32xl\:grid-cols-4{grid-template-columns:repeat(4,minmax(0,1fr))}.\32xl\:grid-cols-5{grid-template-columns:repeat(5,minmax(0,1fr))}.\32xl\:grid-cols-6{grid-template-columns:repeat(6,minmax(0,1fr))}.\32xl\:grid-cols-7{grid-template-columns:repeat(7,minmax(0,1fr))}.\32xl\:grid-cols-8{grid-template-columns:repeat(8,minmax(0,1fr))}.\32xl\:grid-cols-9{grid-template-columns:repeat(9,minmax(0,1fr))}.\32xl\:grid-cols-10{grid-template-columns:repeat(10,minmax(0,1fr))}.\32xl\:grid-cols-11{grid-template-columns:repeat(11,minmax(0,1fr))}.\32xl\:grid-cols-12{grid-template-columns:repeat(12,minmax(0,1fr))}.\32xl\:grid-cols-none{grid-template-columns:none}.\32xl\:grid-rows-1{grid-template-rows:repeat(1,minmax(0,1fr))}.\32xl\:grid-rows-2{grid-template-rows:repeat(2,minmax(0,1fr))}.\32xl\:grid-rows-3{grid-template-rows:repeat(3,minmax(0,1fr))}.\32xl\:grid-rows-4{grid-template-rows:repeat(4,minmax(0,1fr))}.\32xl\:grid-rows-5{grid-template-rows:repeat(5,minmax(0,1fr))}.\32xl\:grid-rows-6{grid-template-rows:repeat(6,minmax(0,1fr))}.\32xl\:grid-rows-none{grid-template-rows:none}.\32xl\:flex-row{flex-direction:row}.\32xl\:flex-row-reverse{flex-direction:row-reverse}.\32xl\:flex-col{flex-direction:column}.\32xl\:flex-col-reverse{flex-direction:column-reverse}.\32xl\:flex-wrap{flex-wrap:wrap}.\32xl\:flex-wrap-reverse{flex-wrap:wrap-reverse}.\32xl\:flex-nowrap{flex-wrap:nowrap}.\32xl\:place-content-center{place-content:center}.\32xl\:place-content-start{place-content:start}.\32xl\:place-content-end{place-content:end}.\32xl\:place-content-between{place-content:space-between}.\32xl\:place-content-around{place-content:space-around}.\32xl\:place-content-evenly{place-content:space-evenly}.\32xl\:place-content-stretch{place-content:stretch}.\32xl\:place-items-start{place-items:start}.\32xl\:place-items-end{place-items:end}.\32xl\:place-items-center{place-items:center}.\32xl\:place-items-stretch{place-items:stretch}.\32xl\:content-center{align-content:center}.\32xl\:content-start{align-content:flex-start}.\32xl\:content-end{align-content:flex-end}.\32xl\:content-between{align-content:space-between}.\32xl\:content-around{align-content:space-around}.\32xl\:content-evenly{align-content:space-evenly}.\32xl\:items-start{align-items:flex-start}.\32xl\:items-end{align-items:flex-end}.\32xl\:items-center{align-items:center}.\32xl\:items-baseline{align-items:baseline}.\32xl\:items-stretch{align-items:stretch}.\32xl\:justify-start{justify-content:flex-start}.\32xl\:justify-end{justify-content:flex-end}.\32xl\:justify-center{justify-content:center}.\32xl\:justify-between{justify-content:space-between}.\32xl\:justify-around{justify-content:space-around}.\32xl\:justify-evenly{justify-content:space-evenly}.\32xl\:justify-items-start{justify-items:start}.\32xl\:justify-items-end{justify-items:end}.\32xl\:justify-items-center{justify-items:center}.\32xl\:justify-items-stretch{justify-items:stretch}.\32xl\:gap-0{gap:0}.\32xl\:gap-1{gap:.25rem}.\32xl\:gap-2{gap:.5rem}.\32xl\:gap-3{gap:.75rem}.\32xl\:gap-4{gap:1rem}.\32xl\:gap-5{gap:1.25rem}.\32xl\:gap-6{gap:1.5rem}.\32xl\:gap-7{gap:1.75rem}.\32xl\:gap-8{gap:2rem}.\32xl\:gap-9{gap:2.25rem}.\32xl\:gap-10{gap:2.5rem}.\32xl\:gap-11{gap:2.75rem}.\32xl\:gap-12{gap:3rem}.\32xl\:gap-14{gap:3.5rem}.\32xl\:gap-16{gap:4rem}.\32xl\:gap-20{gap:5rem}.\32xl\:gap-24{gap:6rem}.\32xl\:gap-28{gap:7rem}.\32xl\:gap-32{gap:8rem}.\32xl\:gap-36{gap:9rem}.\32xl\:gap-40{gap:10rem}.\32xl\:gap-44{gap:11rem}.\32xl\:gap-48{gap:12rem}.\32xl\:gap-52{gap:13rem}.\32xl\:gap-56{gap:14rem}.\32xl\:gap-60{gap:15rem}.\32xl\:gap-64{gap:16rem}.\32xl\:gap-72{gap:18rem}.\32xl\:gap-80{gap:20rem}.\32xl\:gap-96{gap:24rem}.\32xl\:gap-px{gap:1px}.\32xl\:gap-0\.5{gap:.125rem}.\32xl\:gap-1\.5{gap:.375rem}.\32xl\:gap-2\.5{gap:.625rem}.\32xl\:gap-3\.5{gap:.875rem}.\32xl\:gap-x-0{column-gap:0}.\32xl\:gap-x-1{column-gap:.25rem}.\32xl\:gap-x-2{column-gap:.5rem}.\32xl\:gap-x-3{column-gap:.75rem}.\32xl\:gap-x-4{column-gap:1rem}.\32xl\:gap-x-5{column-gap:1.25rem}.\32xl\:gap-x-6{column-gap:1.5rem}.\32xl\:gap-x-7{column-gap:1.75rem}.\32xl\:gap-x-8{column-gap:2rem}.\32xl\:gap-x-9{column-gap:2.25rem}.\32xl\:gap-x-10{column-gap:2.5rem}.\32xl\:gap-x-11{column-gap:2.75rem}.\32xl\:gap-x-12{column-gap:3rem}.\32xl\:gap-x-14{column-gap:3.5rem}.\32xl\:gap-x-16{column-gap:4rem}.\32xl\:gap-x-20{column-gap:5rem}.\32xl\:gap-x-24{column-gap:6rem}.\32xl\:gap-x-28{column-gap:7rem}.\32xl\:gap-x-32{column-gap:8rem}.\32xl\:gap-x-36{column-gap:9rem}.\32xl\:gap-x-40{column-gap:10rem}.\32xl\:gap-x-44{column-gap:11rem}.\32xl\:gap-x-48{column-gap:12rem}.\32xl\:gap-x-52{column-gap:13rem}.\32xl\:gap-x-56{column-gap:14rem}.\32xl\:gap-x-60{column-gap:15rem}.\32xl\:gap-x-64{column-gap:16rem}.\32xl\:gap-x-72{column-gap:18rem}.\32xl\:gap-x-80{column-gap:20rem}.\32xl\:gap-x-96{column-gap:24rem}.\32xl\:gap-x-px{column-gap:1px}.\32xl\:gap-x-0\.5{column-gap:.125rem}.\32xl\:gap-x-1\.5{column-gap:.375rem}.\32xl\:gap-x-2\.5{column-gap:.625rem}.\32xl\:gap-x-3\.5{column-gap:.875rem}.\32xl\:gap-y-0{row-gap:0}.\32xl\:gap-y-1{row-gap:.25rem}.\32xl\:gap-y-2{row-gap:.5rem}.\32xl\:gap-y-3{row-gap:.75rem}.\32xl\:gap-y-4{row-gap:1rem}.\32xl\:gap-y-5{row-gap:1.25rem}.\32xl\:gap-y-6{row-gap:1.5rem}.\32xl\:gap-y-7{row-gap:1.75rem}.\32xl\:gap-y-8{row-gap:2rem}.\32xl\:gap-y-9{row-gap:2.25rem}.\32xl\:gap-y-10{row-gap:2.5rem}.\32xl\:gap-y-11{row-gap:2.75rem}.\32xl\:gap-y-12{row-gap:3rem}.\32xl\:gap-y-14{row-gap:3.5rem}.\32xl\:gap-y-16{row-gap:4rem}.\32xl\:gap-y-20{row-gap:5rem}.\32xl\:gap-y-24{row-gap:6rem}.\32xl\:gap-y-28{row-gap:7rem}.\32xl\:gap-y-32{row-gap:8rem}.\32xl\:gap-y-36{row-gap:9rem}.\32xl\:gap-y-40{row-gap:10rem}.\32xl\:gap-y-44{row-gap:11rem}.\32xl\:gap-y-48{row-gap:12rem}.\32xl\:gap-y-52{row-gap:13rem}.\32xl\:gap-y-56{row-gap:14rem}.\32xl\:gap-y-60{row-gap:15rem}.\32xl\:gap-y-64{row-gap:16rem}.\32xl\:gap-y-72{row-gap:18rem}.\32xl\:gap-y-80{row-gap:20rem}.\32xl\:gap-y-96{row-gap:24rem}.\32xl\:gap-y-px{row-gap:1px}.\32xl\:gap-y-0\.5{row-gap:.125rem}.\32xl\:gap-y-1\.5{row-gap:.375rem}.\32xl\:gap-y-2\.5{row-gap:.625rem}.\32xl\:gap-y-3\.5{row-gap:.875rem}.\32xl\:space-x-0>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(0px * var(--tw-space-x-reverse));margin-left:calc(0px * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-1>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(.25rem * var(--tw-space-x-reverse));margin-left:calc(.25rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-2>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(.5rem * var(--tw-space-x-reverse));margin-left:calc(.5rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-3>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(.75rem * var(--tw-space-x-reverse));margin-left:calc(.75rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-4>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(1rem * var(--tw-space-x-reverse));margin-left:calc(1rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-5>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(1.25rem * var(--tw-space-x-reverse));margin-left:calc(1.25rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-6>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(1.5rem * var(--tw-space-x-reverse));margin-left:calc(1.5rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-7>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(1.75rem * var(--tw-space-x-reverse));margin-left:calc(1.75rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-8>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(2rem * var(--tw-space-x-reverse));margin-left:calc(2rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-9>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(2.25rem * var(--tw-space-x-reverse));margin-left:calc(2.25rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-10>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(2.5rem * var(--tw-space-x-reverse));margin-left:calc(2.5rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-11>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(2.75rem * var(--tw-space-x-reverse));margin-left:calc(2.75rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-12>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(3rem * var(--tw-space-x-reverse));margin-left:calc(3rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-14>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(3.5rem * var(--tw-space-x-reverse));margin-left:calc(3.5rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-16>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(4rem * var(--tw-space-x-reverse));margin-left:calc(4rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-20>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(5rem * var(--tw-space-x-reverse));margin-left:calc(5rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-24>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(6rem * var(--tw-space-x-reverse));margin-left:calc(6rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-28>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(7rem * var(--tw-space-x-reverse));margin-left:calc(7rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-32>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(8rem * var(--tw-space-x-reverse));margin-left:calc(8rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-36>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(9rem * var(--tw-space-x-reverse));margin-left:calc(9rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-40>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(10rem * var(--tw-space-x-reverse));margin-left:calc(10rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-44>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(11rem * var(--tw-space-x-reverse));margin-left:calc(11rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-48>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(12rem * var(--tw-space-x-reverse));margin-left:calc(12rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-52>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(13rem * var(--tw-space-x-reverse));margin-left:calc(13rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-56>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(14rem * var(--tw-space-x-reverse));margin-left:calc(14rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-60>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(15rem * var(--tw-space-x-reverse));margin-left:calc(15rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-64>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(16rem * var(--tw-space-x-reverse));margin-left:calc(16rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-72>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(18rem * var(--tw-space-x-reverse));margin-left:calc(18rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-80>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(20rem * var(--tw-space-x-reverse));margin-left:calc(20rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-96>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(24rem * var(--tw-space-x-reverse));margin-left:calc(24rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-px>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(1px * var(--tw-space-x-reverse));margin-left:calc(1px * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-0\.5>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(.125rem * var(--tw-space-x-reverse));margin-left:calc(.125rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-1\.5>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(.375rem * var(--tw-space-x-reverse));margin-left:calc(.375rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-2\.5>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(.625rem * var(--tw-space-x-reverse));margin-left:calc(.625rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-x-3\.5>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(.875rem * var(--tw-space-x-reverse));margin-left:calc(.875rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-0>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(0px * var(--tw-space-x-reverse));margin-left:calc(0px * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-1>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-.25rem * var(--tw-space-x-reverse));margin-left:calc(-.25rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-2>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-.5rem * var(--tw-space-x-reverse));margin-left:calc(-.5rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-3>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-.75rem * var(--tw-space-x-reverse));margin-left:calc(-.75rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-4>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-1rem * var(--tw-space-x-reverse));margin-left:calc(-1rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-5>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-1.25rem * var(--tw-space-x-reverse));margin-left:calc(-1.25rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-6>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-1.5rem * var(--tw-space-x-reverse));margin-left:calc(-1.5rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-7>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-1.75rem * var(--tw-space-x-reverse));margin-left:calc(-1.75rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-8>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-2rem * var(--tw-space-x-reverse));margin-left:calc(-2rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-9>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-2.25rem * var(--tw-space-x-reverse));margin-left:calc(-2.25rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-10>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-2.5rem * var(--tw-space-x-reverse));margin-left:calc(-2.5rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-11>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-2.75rem * var(--tw-space-x-reverse));margin-left:calc(-2.75rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-12>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-3rem * var(--tw-space-x-reverse));margin-left:calc(-3rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-14>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-3.5rem * var(--tw-space-x-reverse));margin-left:calc(-3.5rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-16>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-4rem * var(--tw-space-x-reverse));margin-left:calc(-4rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-20>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-5rem * var(--tw-space-x-reverse));margin-left:calc(-5rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-24>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-6rem * var(--tw-space-x-reverse));margin-left:calc(-6rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-28>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-7rem * var(--tw-space-x-reverse));margin-left:calc(-7rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-32>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-8rem * var(--tw-space-x-reverse));margin-left:calc(-8rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-36>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-9rem * var(--tw-space-x-reverse));margin-left:calc(-9rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-40>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-10rem * var(--tw-space-x-reverse));margin-left:calc(-10rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-44>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-11rem * var(--tw-space-x-reverse));margin-left:calc(-11rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-48>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-12rem * var(--tw-space-x-reverse));margin-left:calc(-12rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-52>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-13rem * var(--tw-space-x-reverse));margin-left:calc(-13rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-56>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-14rem * var(--tw-space-x-reverse));margin-left:calc(-14rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-60>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-15rem * var(--tw-space-x-reverse));margin-left:calc(-15rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-64>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-16rem * var(--tw-space-x-reverse));margin-left:calc(-16rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-72>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-18rem * var(--tw-space-x-reverse));margin-left:calc(-18rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-80>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-20rem * var(--tw-space-x-reverse));margin-left:calc(-20rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-96>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-24rem * var(--tw-space-x-reverse));margin-left:calc(-24rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-px>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-1px * var(--tw-space-x-reverse));margin-left:calc(-1px * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-0\.5>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-.125rem * var(--tw-space-x-reverse));margin-left:calc(-.125rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-1\.5>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-.375rem * var(--tw-space-x-reverse));margin-left:calc(-.375rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-2\.5>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-.625rem * var(--tw-space-x-reverse));margin-left:calc(-.625rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:-space-x-3\.5>:not([hidden])~:not([hidden]){--tw-space-x-reverse:0;margin-right:calc(-.875rem * var(--tw-space-x-reverse));margin-left:calc(-.875rem * calc(1 - var(--tw-space-x-reverse)))}.\32xl\:space-y-0>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(0px * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(0px * var(--tw-space-y-reverse))}.\32xl\:space-y-1>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(.25rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(.25rem * var(--tw-space-y-reverse))}.\32xl\:space-y-2>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(.5rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(.5rem * var(--tw-space-y-reverse))}.\32xl\:space-y-3>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(.75rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(.75rem * var(--tw-space-y-reverse))}.\32xl\:space-y-4>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(1rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(1rem * var(--tw-space-y-reverse))}.\32xl\:space-y-5>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(1.25rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(1.25rem * var(--tw-space-y-reverse))}.\32xl\:space-y-6>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(1.5rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(1.5rem * var(--tw-space-y-reverse))}.\32xl\:space-y-7>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(1.75rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(1.75rem * var(--tw-space-y-reverse))}.\32xl\:space-y-8>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(2rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(2rem * var(--tw-space-y-reverse))}.\32xl\:space-y-9>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(2.25rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(2.25rem * var(--tw-space-y-reverse))}.\32xl\:space-y-10>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(2.5rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(2.5rem * var(--tw-space-y-reverse))}.\32xl\:space-y-11>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(2.75rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(2.75rem * var(--tw-space-y-reverse))}.\32xl\:space-y-12>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(3rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(3rem * var(--tw-space-y-reverse))}.\32xl\:space-y-14>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(3.5rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(3.5rem * var(--tw-space-y-reverse))}.\32xl\:space-y-16>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(4rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(4rem * var(--tw-space-y-reverse))}.\32xl\:space-y-20>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(5rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(5rem * var(--tw-space-y-reverse))}.\32xl\:space-y-24>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(6rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(6rem * var(--tw-space-y-reverse))}.\32xl\:space-y-28>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(7rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(7rem * var(--tw-space-y-reverse))}.\32xl\:space-y-32>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(8rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(8rem * var(--tw-space-y-reverse))}.\32xl\:space-y-36>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(9rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(9rem * var(--tw-space-y-reverse))}.\32xl\:space-y-40>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(10rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(10rem * var(--tw-space-y-reverse))}.\32xl\:space-y-44>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(11rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(11rem * var(--tw-space-y-reverse))}.\32xl\:space-y-48>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(12rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(12rem * var(--tw-space-y-reverse))}.\32xl\:space-y-52>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(13rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(13rem * var(--tw-space-y-reverse))}.\32xl\:space-y-56>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(14rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(14rem * var(--tw-space-y-reverse))}.\32xl\:space-y-60>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(15rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(15rem * var(--tw-space-y-reverse))}.\32xl\:space-y-64>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(16rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(16rem * var(--tw-space-y-reverse))}.\32xl\:space-y-72>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(18rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(18rem * var(--tw-space-y-reverse))}.\32xl\:space-y-80>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(20rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(20rem * var(--tw-space-y-reverse))}.\32xl\:space-y-96>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(24rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(24rem * var(--tw-space-y-reverse))}.\32xl\:space-y-px>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(1px * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(1px * var(--tw-space-y-reverse))}.\32xl\:space-y-0\.5>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(.125rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(.125rem * var(--tw-space-y-reverse))}.\32xl\:space-y-1\.5>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(.375rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(.375rem * var(--tw-space-y-reverse))}.\32xl\:space-y-2\.5>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(.625rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(.625rem * var(--tw-space-y-reverse))}.\32xl\:space-y-3\.5>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(.875rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(.875rem * var(--tw-space-y-reverse))}.\32xl\:-space-y-0>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(0px * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(0px * var(--tw-space-y-reverse))}.\32xl\:-space-y-1>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(-.25rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(-.25rem * var(--tw-space-y-reverse))}.\32xl\:-space-y-2>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(-.5rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(-.5rem * var(--tw-space-y-reverse))}.\32xl\:-space-y-3>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(-.75rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(-.75rem * var(--tw-space-y-reverse))}.\32xl\:-space-y-4>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(-1rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(-1rem * var(--tw-space-y-reverse))}.\32xl\:-space-y-5>:not([hidden])~:not([hidden]){--tw-space-y-reverse:0;margin-top:calc(-1.25rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(-1.25rem * 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低地址
低地址
高地址
高地址
保留
保留
代码段
代码段
数据段
数据段
栈段
栈段
堆
堆
操作系统
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取指
取指

0x00f00093

0x00f00093
译码
译码

操作数1：0x0

操作数1：0x0

操作数2：0xf

操作数2：0xf

加法运算

加法运算

写回到x1

写回到x1
执行
执行

写回到x1

写回到x1

运算结果=0xf

运算结果=0xf
访存
访存

无需访存

无需访存

无需访存

无需访存

写回数据=0xf

写回数据=0xf

写回到x1

写回到x1
寄存器
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