mirror of
https://github.com/krahets/hello-algo.git
synced 2025-11-06 23:26:36 +08:00
Bug fixes and improvements (#1813)
* Sync zh and zh-hant version. * Add the Warp sponsor banner. * Update README with acknowledgments and Warp recommendation Added acknowledgments and a recommendation for the Warp terminal application. * Update README.md * Update links in README.md to use HTTPS * Sync zh and zh-hant versions. * Add special thanks for Warp spnsorship. * Use official warp image link.
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@ -1,6 +1,6 @@
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// File: time_complexity.zig
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// Created Time: 2022-12-28
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// Author: codingonion (coderonion@gmail.com)
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// Author: codingonion (coderonion@gmail.com), CreatorMetaSky (creator_meta_sky@163.com)
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const std = @import("std");
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@ -10,7 +10,7 @@ fn constant(n: i32) i32 {
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var count: i32 = 0;
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const size: i32 = 100_000;
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var i: i32 = 0;
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while(i<size) : (i += 1) {
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while (i < size) : (i += 1) {
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count += 1;
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}
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return count;
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@ -52,7 +52,7 @@ fn quadratic(n: i32) i32 {
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// 平方階(泡沫排序)
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fn bubbleSort(nums: []i32) i32 {
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var count: i32 = 0; // 計數器
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var count: i32 = 0; // 計數器
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// 外迴圈:未排序區間為 [0, i]
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var i: i32 = @as(i32, @intCast(nums.len)) - 1;
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while (i > 0) : (i -= 1) {
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@ -61,10 +61,10 @@ fn bubbleSort(nums: []i32) i32 {
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while (j < i) : (j += 1) {
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if (nums[j] > nums[j + 1]) {
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// 交換 nums[j] 與 nums[j + 1]
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var tmp = nums[j];
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const tmp = nums[j];
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nums[j] = nums[j + 1];
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nums[j + 1] = tmp;
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count += 3; // 元素交換包含 3 個單元操作
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count += 3; // 元素交換包含 3 個單元操作
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}
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}
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}
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@ -97,11 +97,9 @@ fn expRecur(n: i32) i32 {
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// 對數階(迴圈實現)
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fn logarithmic(n: i32) i32 {
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var count: i32 = 0;
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var n_var = n;
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while (n_var > 1)
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{
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n_var = n_var / 2;
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count +=1;
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var n_var: i32 = n;
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while (n_var > 1) : (n_var = @divTrunc(n_var, 2)) {
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count += 1;
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}
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return count;
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}
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@ -109,13 +107,13 @@ fn logarithmic(n: i32) i32 {
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// 對數階(遞迴實現)
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fn logRecur(n: i32) i32 {
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if (n <= 1) return 0;
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return logRecur(n / 2) + 1;
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return logRecur(@divTrunc(n, 2)) + 1;
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}
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// 線性對數階
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fn linearLogRecur(n: i32) i32 {
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if (n <= 1) return 1;
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var count: i32 = linearLogRecur(n / 2) + linearLogRecur(n / 2);
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var count: i32 = linearLogRecur(@divTrunc(n, 2)) + linearLogRecur(@divTrunc(n, 2));
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var i: i32 = 0;
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while (i < n) : (i += 1) {
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count += 1;
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@ -136,7 +134,7 @@ fn factorialRecur(n: i32) i32 {
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}
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// Driver Code
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pub fn main() !void {
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pub fn run() void {
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// 可以修改 n 執行,體會一下各種複雜度的操作數量變化趨勢
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const n: i32 = 8;
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std.debug.print("輸入資料大小 n = {}\n", .{n});
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@ -146,14 +144,14 @@ pub fn main() !void {
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count = linear(n);
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std.debug.print("線性階的操作數量 = {}\n", .{count});
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var nums = [_]i32{0}**n;
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var nums = [_]i32{0} ** n;
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count = arrayTraversal(&nums);
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std.debug.print("線性階(走訪陣列)的操作數量 = {}\n", .{count});
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count = quadratic(n);
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std.debug.print("平方階的操作數量 = {}\n", .{count});
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for (&nums, 0..) |*num, i| {
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num.* = n - @as(i32, @intCast(i)); // [n,n-1,...,2,1]
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num.* = n - @as(i32, @intCast(i)); // [n,n-1,...,2,1]
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}
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count = bubbleSort(&nums);
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std.debug.print("平方階(泡沫排序)的操作數量 = {}\n", .{count});
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@ -174,6 +172,13 @@ pub fn main() !void {
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count = factorialRecur(n);
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std.debug.print("階乘階(遞迴實現)的操作數量 = {}\n", .{count});
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_ = try std.io.getStdIn().reader().readByte();
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std.debug.print("\n", .{});
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}
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pub fn main() !void {
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run();
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}
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test "time_complexity" {
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run();
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}
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