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	code: update zig 0.14.1 for the chapter of array_and_linkedlist and computational_complexity (#1787)
* update zig array list chapter * update not need change codes. * fix some pr issues and update time space chapter
This commit is contained in:
		| @ -1,6 +1,6 @@ | ||||
| // File: iteration.zig | ||||
| // Created Time: 2023-09-27 | ||||
| // Author: QiLOL (pikaqqpika@gmail.com) | ||||
| // Author: QiLOL (pikaqqpika@gmail.com), CreatorMetaSky (creator_meta_sky@163.com) | ||||
|  | ||||
| const std = @import("std"); | ||||
| const Allocator = std.mem.Allocator; | ||||
| @ -9,20 +9,19 @@ const Allocator = std.mem.Allocator; | ||||
| fn forLoop(n: usize) i32 { | ||||
|     var res: i32 = 0; | ||||
|     // 循环求和 1, 2, ..., n-1, n | ||||
|     for (1..n+1) |i| { | ||||
|         res = res + @as(i32, @intCast(i)); | ||||
|     for (1..n + 1) |i| { | ||||
|         res += @intCast(i); | ||||
|     } | ||||
|     return res; | ||||
| }  | ||||
| } | ||||
|  | ||||
| // while 循环 | ||||
| fn whileLoop(n: i32) i32 { | ||||
|     var res: i32 = 0; | ||||
|     var i: i32 = 1; // 初始化条件变量 | ||||
|     // 循环求和 1, 2, ..., n-1, n | ||||
|     while (i <= n) { | ||||
|     while (i <= n) : (i += 1) { | ||||
|         res += @intCast(i); | ||||
|         i += 1; | ||||
|     } | ||||
|     return res; | ||||
| } | ||||
| @ -32,11 +31,12 @@ fn whileLoopII(n: i32) i32 { | ||||
|     var res: i32 = 0; | ||||
|     var i: i32 = 1; // 初始化条件变量 | ||||
|     // 循环求和 1, 4, 10, ... | ||||
|     while (i <= n) { | ||||
|         res += @intCast(i); | ||||
|     while (i <= n) : ({ | ||||
|         // 更新条件变量 | ||||
|         i += 1; | ||||
|         i *= 2; | ||||
|     }) { | ||||
|         res += @intCast(i); | ||||
|     } | ||||
|     return res; | ||||
| } | ||||
| @ -47,31 +47,45 @@ fn nestedForLoop(allocator: Allocator, n: usize) ![]const u8 { | ||||
|     defer res.deinit(); | ||||
|     var buffer: [20]u8 = undefined; | ||||
|     // 循环 i = 1, 2, ..., n-1, n | ||||
|     for (1..n+1) |i| { | ||||
|     for (1..n + 1) |i| { | ||||
|         // 循环 j = 1, 2, ..., n-1, n | ||||
|         for (1..n+1) |j| { | ||||
|             var _str = try std.fmt.bufPrint(&buffer, "({d}, {d}), ", .{i, j}); | ||||
|             try res.appendSlice(_str); | ||||
|         for (1..n + 1) |j| { | ||||
|             const str = try std.fmt.bufPrint(&buffer, "({d}, {d}), ", .{ i, j }); | ||||
|             try res.appendSlice(str); | ||||
|         } | ||||
|     } | ||||
|     return res.toOwnedSlice(); | ||||
| } | ||||
|  | ||||
| // Driver Code | ||||
| pub fn main() !void { | ||||
| pub fn run() !void { | ||||
|     var gpa = std.heap.DebugAllocator(.{}){}; | ||||
|     defer _ = gpa.deinit(); | ||||
|     const allocator = gpa.allocator(); | ||||
|  | ||||
|     const n: i32 = 5; | ||||
|     var res: i32 = 0; | ||||
|  | ||||
|     res = forLoop(n); | ||||
|     std.debug.print("\nfor 循环的求和结果 res = {}\n", .{res}); | ||||
|     std.debug.print("for 循环的求和结果 res = {}\n", .{res}); | ||||
|  | ||||
|     res = whileLoop(n); | ||||
|     std.debug.print("\nwhile 循环的求和结果 res = {}\n", .{res}); | ||||
|     std.debug.print("while 循环的求和结果 res = {}\n", .{res}); | ||||
|  | ||||
|     res = whileLoopII(n); | ||||
|     std.debug.print("\nwhile 循环(两次更新)求和结果 res = {}\n", .{res}); | ||||
|     std.debug.print("while 循环(两次更新)求和结果 res = {}\n", .{res}); | ||||
|  | ||||
|     const allocator = std.heap.page_allocator; | ||||
|     const resStr = try nestedForLoop(allocator, n); | ||||
|     std.debug.print("\n双层 for 循环的遍历结果 {s}\n", .{resStr}); | ||||
|     std.debug.print("双层 for 循环的遍历结果 {s}\n", .{resStr}); | ||||
|     allocator.free(resStr); | ||||
|  | ||||
|     std.debug.print("\n", .{}); | ||||
| } | ||||
|  | ||||
| pub fn main() !void { | ||||
|     try run(); | ||||
| } | ||||
|  | ||||
| test "interation" { | ||||
|     try run(); | ||||
| } | ||||
|  | ||||
| @ -1,7 +1,7 @@ | ||||
| // File: recursion.zig | ||||
| // Created Time: 2023-09-27 | ||||
| // Author: QiLOL (pikaqqpika@gmail.com) | ||||
|   | ||||
| // Author: QiLOL (pikaqqpika@gmail.com), CreatorMetaSky (creator_meta_sky@163.com) | ||||
|  | ||||
| const std = @import("std"); | ||||
|  | ||||
| // 递归函数 | ||||
| @ -11,7 +11,7 @@ fn recur(n: i32) i32 { | ||||
|         return 1; | ||||
|     } | ||||
|     // 递:递归调用 | ||||
|     var res: i32 = recur(n - 1); | ||||
|     const res = recur(n - 1); | ||||
|     // 归:返回结果 | ||||
|     return n + res; | ||||
| } | ||||
| @ -54,25 +54,35 @@ fn fib(n: i32) i32 { | ||||
|         return n - 1; | ||||
|     } | ||||
|     // 递归调用 f(n) = f(n-1) + f(n-2) | ||||
|     var res: i32 = fib(n - 1) + fib(n - 2); | ||||
|     const res: i32 = fib(n - 1) + fib(n - 2); | ||||
|     // 返回结果 f(n) | ||||
|     return res; | ||||
| } | ||||
|  | ||||
| // Driver Code | ||||
| pub fn main() !void { | ||||
| pub fn run() void { | ||||
|     const n: i32 = 5; | ||||
|     var res: i32 = 0; | ||||
|  | ||||
|     res = recur(n); | ||||
|     std.debug.print("\n递归函数的求和结果 res = {}\n", .{recur(n)}); | ||||
|     std.debug.print("递归函数的求和结果 res = {}\n", .{recur(n)}); | ||||
|  | ||||
|     res = forLoopRecur(n); | ||||
|     std.debug.print("\n使用迭代模拟递归的求和结果 res = {}\n", .{forLoopRecur(n)}); | ||||
|     std.debug.print("使用迭代模拟递归的求和结果 res = {}\n", .{forLoopRecur(n)}); | ||||
|  | ||||
|     res = tailRecur(n, 0); | ||||
|     std.debug.print("\n尾递归函数的求和结果 res = {}\n", .{tailRecur(n, 0)}); | ||||
|     std.debug.print("尾递归函数的求和结果 res = {}\n", .{tailRecur(n, 0)}); | ||||
|  | ||||
|     res = fib(n); | ||||
|     std.debug.print("\n斐波那契数列的第 {} 项为 {}\n", .{n, fib(n)}); | ||||
|     std.debug.print("斐波那契数列的第 {} 项为 {}\n", .{ n, fib(n) }); | ||||
|  | ||||
|     std.debug.print("\n", .{}); | ||||
| } | ||||
|  | ||||
| pub fn main() void { | ||||
|     run(); | ||||
| } | ||||
|  | ||||
| test "recursion" { | ||||
|     run(); | ||||
| } | ||||
|  | ||||
| @ -1,9 +1,11 @@ | ||||
| // File: space_complexity.zig | ||||
| // Created Time: 2023-01-07 | ||||
| // Author: codingonion (coderonion@gmail.com) | ||||
| // Author: codingonion (coderonion@gmail.com), CreatorMetaSky (creator_meta_sky@163.com) | ||||
|  | ||||
| const std = @import("std"); | ||||
| const inc = @import("include"); | ||||
| const utils = @import("utils"); | ||||
| const ListNode = utils.ListNode; | ||||
| const TreeNode = utils.TreeNode; | ||||
|  | ||||
| // 函数 | ||||
| fn function() i32 { | ||||
| @ -15,13 +17,13 @@ fn function() i32 { | ||||
| fn constant(n: i32) void { | ||||
|     // 常量、变量、对象占用 O(1) 空间 | ||||
|     const a: i32 = 0; | ||||
|     var b: i32 = 0; | ||||
|     var nums = [_]i32{0}**10000; | ||||
|     var node = inc.ListNode(i32){.val = 0}; | ||||
|     const b: i32 = 0; | ||||
|     const nums = [_]i32{0} ** 10000; | ||||
|     const node = ListNode(i32){ .val = 0 }; | ||||
|     var i: i32 = 0; | ||||
|     // 循环中的变量占用 O(1) 空间 | ||||
|     while (i < n) : (i += 1) { | ||||
|         var c: i32 = 0; | ||||
|         const c: i32 = 0; | ||||
|         _ = c; | ||||
|     } | ||||
|     // 循环中的函数占用 O(1) 空间 | ||||
| @ -38,7 +40,7 @@ fn constant(n: i32) void { | ||||
| // 线性阶 | ||||
| fn linear(comptime n: i32) !void { | ||||
|     // 长度为 n 的数组占用 O(n) 空间 | ||||
|     var nums = [_]i32{0}**n; | ||||
|     const nums = [_]i32{0} ** n; | ||||
|     // 长度为 n 的列表占用 O(n) 空间 | ||||
|     var nodes = std.ArrayList(i32).init(std.heap.page_allocator); | ||||
|     defer nodes.deinit(); | ||||
| @ -85,23 +87,35 @@ fn quadratic(n: i32) !void { | ||||
| // 平方阶(递归实现) | ||||
| fn quadraticRecur(comptime n: i32) i32 { | ||||
|     if (n <= 0) return 0; | ||||
|     var nums = [_]i32{0}**n; | ||||
|     std.debug.print("递归 n = {} 中的 nums 长度 = {}\n", .{n, nums.len}); | ||||
|     const nums = [_]i32{0} ** n; | ||||
|     std.debug.print("递归 n = {} 中的 nums 长度 = {}\n", .{ n, nums.len }); | ||||
|     return quadraticRecur(n - 1); | ||||
| } | ||||
|  | ||||
| // 指数阶(建立满二叉树) | ||||
| fn buildTree(mem_allocator: std.mem.Allocator, n: i32) !?*inc.TreeNode(i32) { | ||||
| fn buildTree(allocator: std.mem.Allocator, n: i32) !?*TreeNode(i32) { | ||||
|     if (n == 0) return null; | ||||
|     const root = try mem_allocator.create(inc.TreeNode(i32)); | ||||
|     const root = try allocator.create(TreeNode(i32)); | ||||
|     root.init(0); | ||||
|     root.left = try buildTree(mem_allocator, n - 1); | ||||
|     root.right = try buildTree(mem_allocator, n - 1); | ||||
|     root.left = try buildTree(allocator, n - 1); | ||||
|     root.right = try buildTree(allocator, n - 1); | ||||
|     return root; | ||||
| } | ||||
|  | ||||
| // 释放树的内存 | ||||
| fn freeTree(allocator: std.mem.Allocator, root: ?*const TreeNode(i32)) void { | ||||
|     if (root == null) return; | ||||
|     freeTree(allocator, root.?.left); | ||||
|     freeTree(allocator, root.?.right); | ||||
|     allocator.destroy(root.?); | ||||
| } | ||||
|  | ||||
| // Driver Code | ||||
| pub fn main() !void { | ||||
| pub fn run() !void { | ||||
|     var gpa = std.heap.DebugAllocator(.{}){}; | ||||
|     defer _ = gpa.deinit(); | ||||
|     const allocator = gpa.allocator(); | ||||
|  | ||||
|     const n: i32 = 5; | ||||
|     // 常数阶 | ||||
|     constant(n); | ||||
| @ -112,13 +126,17 @@ pub fn main() !void { | ||||
|     try quadratic(n); | ||||
|     _ = quadraticRecur(n); | ||||
|     // 指数阶 | ||||
|     var mem_arena = std.heap.ArenaAllocator.init(std.heap.page_allocator); | ||||
|     defer mem_arena.deinit(); | ||||
|     var root = blk_root: { | ||||
|         const mem_allocator = mem_arena.allocator(); | ||||
|         break :blk_root try buildTree(mem_allocator, n); | ||||
|     }; | ||||
|     try inc.PrintUtil.printTree(root, null, false); | ||||
|     const root = try buildTree(allocator, n); | ||||
|     defer freeTree(allocator, root); | ||||
|     std.debug.print("{}\n", .{utils.fmt.tree(i32, root)}); | ||||
|  | ||||
|     _ = try std.io.getStdIn().reader().readByte(); | ||||
| } | ||||
|     std.debug.print("\n", .{}); | ||||
| } | ||||
|  | ||||
| pub fn main() !void { | ||||
|     try run(); | ||||
| } | ||||
|  | ||||
| test "space_complexity" { | ||||
|     try run(); | ||||
| } | ||||
|  | ||||
| @ -1,6 +1,6 @@ | ||||
| // File: time_complexity.zig | ||||
| // Created Time: 2022-12-28 | ||||
| // Author: codingonion (coderonion@gmail.com) | ||||
| // Author: codingonion (coderonion@gmail.com), CreatorMetaSky (creator_meta_sky@163.com) | ||||
|  | ||||
| const std = @import("std"); | ||||
|  | ||||
| @ -10,7 +10,7 @@ fn constant(n: i32) i32 { | ||||
|     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; | ||||
| @ -52,7 +52,7 @@ fn quadratic(n: i32) i32 { | ||||
|  | ||||
| // 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) { | ||||
| @ -61,10 +61,10 @@ fn bubbleSort(nums: []i32) i32 { | ||||
|         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 | ||||
|             } | ||||
|         } | ||||
|     } | ||||
| @ -97,11 +97,9 @@ fn expRecur(n: i32) i32 { | ||||
| // 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; | ||||
| } | ||||
| @ -109,13 +107,13 @@ fn logarithmic(n: i32) i32 { | ||||
| // 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; | ||||
| } | ||||
|  | ||||
| // 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; | ||||
| @ -136,7 +134,7 @@ fn factorialRecur(n: i32) i32 { | ||||
| } | ||||
|  | ||||
| // Driver Code | ||||
| pub fn main() !void { | ||||
| pub fn run() void { | ||||
|     // 可以修改 n 运行,体会一下各种复杂度的操作数量变化趋势 | ||||
|     const n: i32 = 8; | ||||
|     std.debug.print("输入数据大小 n = {}\n", .{n}); | ||||
| @ -146,14 +144,14 @@ pub fn main() !void { | ||||
|  | ||||
|     count = linear(n); | ||||
|     std.debug.print("线性阶的操作数量 = {}\n", .{count}); | ||||
|     var nums = [_]i32{0}**n; | ||||
|     var nums = [_]i32{0} ** n; | ||||
|     count = arrayTraversal(&nums); | ||||
|     std.debug.print("线性阶(遍历数组)的操作数量 = {}\n", .{count}); | ||||
|  | ||||
|     count = quadratic(n); | ||||
|     std.debug.print("平方阶的操作数量 = {}\n", .{count}); | ||||
|     for (&nums, 0..) |*num, i| { | ||||
|         num.* = n - @as(i32, @intCast(i));  // [n,n-1,...,2,1] | ||||
|         num.* = n - @as(i32, @intCast(i)); // [n,n-1,...,2,1] | ||||
|     } | ||||
|     count = bubbleSort(&nums); | ||||
|     std.debug.print("平方阶(冒泡排序)的操作数量 = {}\n", .{count}); | ||||
| @ -174,6 +172,13 @@ pub fn main() !void { | ||||
|     count = factorialRecur(n); | ||||
|     std.debug.print("阶乘阶(递归实现)的操作数量 = {}\n", .{count}); | ||||
|  | ||||
|     _ = try std.io.getStdIn().reader().readByte(); | ||||
|     std.debug.print("\n", .{}); | ||||
| } | ||||
|  | ||||
| pub fn main() !void { | ||||
|     run(); | ||||
| } | ||||
|  | ||||
| test "time_complexity" { | ||||
|     run(); | ||||
| } | ||||
|  | ||||
| @ -1,9 +1,9 @@ | ||||
| // File: worst_best_time_complexity.zig | ||||
| // Created Time: 2022-12-28 | ||||
| // Author: codingonion (coderonion@gmail.com) | ||||
| // Author: codingonion (coderonion@gmail.com), CreatorMetaSky (creator_meta_sky@163.com) | ||||
|  | ||||
| const std = @import("std"); | ||||
| const inc = @import("include"); | ||||
| const utils = @import("utils"); | ||||
|  | ||||
| // 生成一个数组,元素为 { 1, 2, ..., n },顺序被打乱 | ||||
| pub fn randomNumbers(comptime n: usize) [n]i32 { | ||||
| @ -29,17 +29,25 @@ pub fn findOne(nums: []i32) i32 { | ||||
| } | ||||
|  | ||||
| // Driver Code | ||||
| pub fn main() !void { | ||||
| pub fn run() void { | ||||
|     var i: i32 = 0; | ||||
|     while (i < 10) : (i += 1) { | ||||
|         const n: usize = 100; | ||||
|         var nums = randomNumbers(n); | ||||
|         var index = findOne(&nums); | ||||
|         std.debug.print("\n数组 [ 1, 2, ..., n ] 被打乱后 = ", .{}); | ||||
|         inc.PrintUtil.printArray(i32, &nums); | ||||
|         const index = findOne(&nums); | ||||
|         std.debug.print("数组 [ 1, 2, ..., n ] 被打乱后 = ", .{}); | ||||
|         std.debug.print("{}\n", .{utils.fmt.slice(nums)}); | ||||
|  | ||||
|         std.debug.print("数字 1 的索引为 {}\n", .{index}); | ||||
|     } | ||||
|  | ||||
|     _ = try std.io.getStdIn().reader().readByte(); | ||||
|     std.debug.print("\n", .{}); | ||||
| } | ||||
|  | ||||
| pub fn main() !void { | ||||
|     run(); | ||||
| } | ||||
|  | ||||
| test "worst_best_time_complexity" { | ||||
|     run(); | ||||
| } | ||||
|  | ||||
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