From 67d7cba977e0f97b3a648ea53fdd2011bc50a95b Mon Sep 17 00:00:00 2001 From: danielsss Date: Tue, 27 Dec 2022 09:30:34 +1100 Subject: [PATCH] Add the TypeScript code and docs for Chapter of Binary Search --- .editorconfig | 16 ++++++ .../chapter_searching/binary_search.ts | 54 +++++++++++++++++++ 2 files changed, 70 insertions(+) create mode 100644 .editorconfig create mode 100644 codes/typescript/chapter_searching/binary_search.ts diff --git a/.editorconfig b/.editorconfig new file mode 100644 index 00000000..53ad327c --- /dev/null +++ b/.editorconfig @@ -0,0 +1,16 @@ +# EditorConfig is awesome: https://EditorConfig.org + +# Unix-style newlines with a newline ending every file +[*] +end_of_line = lf +insert_final_newline = true + +# Matches multiple files with brace expansion notation +# Set default charset +[*.{ts,js,py,java,go,c,cpp,cs}] +charset = utf-8 + +# 4 space indentation +[*.{ts,js,py,java,go,c,cpp,cs}] +indent_style = space +indent_size = 4 \ No newline at end of file diff --git a/codes/typescript/chapter_searching/binary_search.ts b/codes/typescript/chapter_searching/binary_search.ts new file mode 100644 index 00000000..0a96720d --- /dev/null +++ b/codes/typescript/chapter_searching/binary_search.ts @@ -0,0 +1,54 @@ +/* +* File: binary_search.ts +* Created Time: 2022-12-27 +* Author: Daniel (better.sunjian@gmail.com) +*/ + +/* 二分查找(双闭区间) */ +const binarySearch = function (nums: number[], target: number): number { + // 初始化双闭区间 [0, n-1] ,即 i, j 分别指向数组首元素、尾元素 + let i = 0, j = nums.length - 1; + // 循环,当搜索区间为空时跳出(当 i > j 时为空) + while (i <= j) { + let m = Math.floor(i + (j - i) / 2); // 计算中点索引 m + if (nums[m] < target) { // 此情况说明 target 在区间 [m+1, j] 中 + i = m + 1; + } else if (nums[m] > target) { // 此情况说明 target 在区间 [i, m-1] 中 + j = m - 1; + } else { // 找到目标元素,返回其索引 + return m; + } + } + return -1; // 未找到目标元素,返回 -1 +} + +/* 二分查找(左闭右开) */ +const binarySearch1 = function (nums: number[], target: number): number { + // 初始化左闭右开 [0, n) ,即 i, j 分别指向数组首元素、尾元素+1 + let i = 0, j = nums.length; + // 循环,当搜索区间为空时跳出(当 i = j 时为空) + while (i < j) { + const m = Math.floor(i + (j - i) / 2); // 计算中点索引 m + if (nums[m] < target) { // 此情况说明 target 在区间 [m+1, j) 中 + i = m + 1; + } else if (nums[m] > target) { // 此情况说明 target 在区间 [i, m) 中 + j = m; + } else { // 找到目标元素,返回其索引 + return m; + } + } + return -1; // 未找到目标元素,返回 -1 +} + + +/* Driver Code */ +const target = 6; +const nums = [ 1, 3, 6, 8, 12, 15, 23, 67, 70, 92 ]; + +/* 二分查找(双闭区间) */ +let index = binarySearch(nums, target); +console.info('目标元素 6 的索引 = %d', index); + +/* 二分查找(左闭右开) */ +index = binarySearch1(nums, target); +console.info('目标元素 6 的索引 = %d', index);