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krahets
2025-09-11 03:53:49 +08:00
parent 3f088184e4
commit ae2e2535f4
24 changed files with 456 additions and 380 deletions
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20
docs/chapter_computational_complexity/time_complexity.md
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@@ -1275,7 +1275,7 @@ $$
var count: i32 = 0;
const size: i32 = 100_000;
var i: i32 = 0;
while(i<size) : (i += 1) {
while (i < size) : (i += 1) {
count += 1;
}
return count;
@@ -2215,7 +2215,7 @@ $$
```zig title="time_complexity.zig"
// 平方阶（冒泡排序）
fn bubbleSort(nums: []i32) i32 {
var count: i32 = 0; // 计数器
var count: i32 = 0; // 计数器
// 外循环：未排序区间为 [0, i]
var i: i32 = @as(i32, @intCast(nums.len)) - 1;
while (i > 0) : (i -= 1) {
@@ -2224,10 +2224,10 @@ $$
while (j < i) : (j += 1) {
if (nums[j] > nums[j + 1]) {
// 交换 nums[j] 与 nums[j + 1]
var tmp = nums[j];
const tmp = nums[j];
nums[j] = nums[j + 1];
nums[j + 1] = tmp;
count += 3; // 元素交换包含 3 个单元操作
count += 3; // 元素交换包含 3 个单元操作
}
}
}
@@ -2870,11 +2870,9 @@ $$
// 对数阶（循环实现）
fn logarithmic(n: i32) i32 {
var count: i32 = 0;
var n_var = n;
while (n_var > 1)
{
n_var = n_var / 2;
count +=1;
var n_var: i32 = n;
while (n_var > 1) : (n_var = @divTrunc(n_var, 2)) {
count += 1;
}
return count;
}
@@ -3037,7 +3035,7 @@ $$
// 对数阶（递归实现）
fn logRecur(n: i32) i32 {
if (n <= 1) return 0;
return logRecur(n / 2) + 1;
return logRecur(@divTrunc(n, 2)) + 1;
}
```
@@ -3261,7 +3259,7 @@ $$
// 线性对数阶
fn linearLogRecur(n: i32) i32 {
if (n <= 1) return 1;
var count: i32 = linearLogRecur(n / 2) + linearLogRecur(n / 2);
var count: i32 = linearLogRecur(@divTrunc(n, 2)) + linearLogRecur(@divTrunc(n, 2));
var i: i32 = 0;
while (i < n) : (i += 1) {
count += 1;