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Golang语言常用算法

Golang语言常用算法

作者: Diogoxiang | 来源:发表于2017-05-12 15:02 被阅读86次

    在学习golang语言,文档看的实在是乏味,就想着把常用的算法做个实现,边写变学习,想来效果还是不错的!

    1. 堆排序

    package main
        
    import "fmt"
    
    func buildHeap(array []int, length int) {
            var i, j int;
            for i = 1; i < length; i = i + 1 {
                for j = i; j > 0 && array[j] > array[(j-1)/2]; j = (j - 1)/2  {
                    array[j], array[(j-1)/2] = array[(j-1)/2], array[j]  
                }
            }
        }
    
    func heapSort(array []int, length int) {
            array[0], array[length - 1] = array[length - 1], array[0]
            if length <= 2 {
                return
            }
            i, j:= 0, 0
            for  {
                j = 2 * i + 1
                if j + 1 < length - 1 {
                    if array[j] < array[j + 1] {
                        j = j + 1
                    }
                } else if j >= length -1 {
                    break
                }   
                array[i], array[j] = array[j], array[i]
                i = j
            }
            heapSort(array, length - 1)
        }
    func main() {
            primes := [6]int{3, 11, 5, 2, 13, 7}
            fmt.Println("orginal", primes)
            buildHeap(primes[:], len(primes))
            fmt.Println("Max heap", primes)
            heapSort(primes[:], len(primes))
            fmt.Println("after sorting", primes)
    }
    
        /**
            out:
                orginal [3 11 5 2 13 7]
                Max heap [13 11 7 2 3 5]
                after sorting [2 3 5 7 11 13]
        
        **/
    

    2.冒泡排序

    package main
    
    import "fmt"
    
    func BubbleSort(vector []int) {
        fmt.Println("BubbleSort")
        fmt.Println(vector)
        for i := 0; i < len(vector); i++ {
            tag := true // 为了剪枝
            // 每一趟将最大的数冒泡
            for j := 0; j < len(vector)-i-1; j++ {
                if vector[j] > vector[j+1] { /*vector[j] < vector[j+1]*/
                    temp := vector[j]
                    vector[j] = vector[j+1]
                    vector[j+1] = temp
                    tag = false
                }
            }
            if tag {
                break //0~len(vector)-i没有发生交换说明已经有序
            }
            fmt.Println(vector)
        }
    }
    
    func main() {
            primes := [6]int{3, 11, 5, 2, 13, 7}
            fmt.Println("orginal", primes)
            BubbleSort(primes[:])
            fmt.Println("after sorting", primes)
    }
      /**
        out:
            orginal [3 11 5 2 13 7]
            BubbleSort
            [3 11 5 2 13 7]
            [3 5 2 11 7 13]
            [3 2 5 7 11 13]
            [2 3 5 7 11 13]
            after sorting [2 3 5 7 11 13]
    
      **/
        
    

    3. 插入排序

    package main
    
    import "fmt"
    
    func InsertSort(vector []int) {
        fmt.Println("InsertSort")
        fmt.Println(vector)
        for i := 1; i < len(vector); i++ {
            // 每一趟不满足条件就选择i为哨兵保存,将哨兵插入0~i-1有序序列(0~i-1始终是有序的)
            if vector[i] < vector[i-1] { /*vector[i] > vector[i-1]*/
                temp := vector[i]
                //后移直到找到哨兵合适的位置
                j := i - 1
                for ; j >= 0 && vector[j] > temp; j-- { /*vector[j] < temp*/
                    vector[j+1] = vector[j]
                }
                //插入位置前后都是有序的,最后也是有序的
                vector[j+1] = temp
            }
            fmt.Println(vector)
        }
    }
    func main() {
        primes := [6]int{3, 11, 5, 2, 13, 7}
        fmt.Println("orginal", primes)
        InsertSort(primes[:])
        fmt.Println("after sorting", primes)
    }
    
    /**
        out:
            orginal [3 11 5 2 13 7]
            InsertSort
            [3 11 5 2 13 7]
            [3 11 5 2 13 7]
            [3 5 11 2 13 7]
            [2 3 5 11 13 7]
            [2 3 5 11 13 7]
            [2 3 5 7 11 13]
            after sorting [2 3 5 7 11 13]
    **/
    
        
    

    4. 选择排序

    package main
    
    import "fmt"
    
    func SelectSort(vector []int) {
        fmt.Println("SelectSort")
        fmt.Println(vector)
        for i := 0; i < len(vector); i++ {
            // 选择最小的元素
            k := i
            for j := i + 1; j < len(vector); j++ {
                if vector[k] > vector[j] {
                    k = j
                }
            }
            // 交换
            if k != i {
                temp := vector[i]
                vector[i] = vector[k]
                vector[k] = temp
            }
            fmt.Println(vector)
        }
    }
    func main() {
        primes := [6]int{3, 11, 5, 2, 13, 7}
        fmt.Println("orginal", primes)
        SelectSort(primes[:])
        fmt.Println("after sorting", primes)
    }
    
    /**
        out:
            orginal [3 11 5 2 13 7]
            SelectSort
            [3 11 5 2 13 7]
            [2 11 5 3 13 7]
            [2 3 5 11 13 7]
            [2 3 5 11 13 7]
            [2 3 5 7 13 11]
            [2 3 5 7 11 13]
            [2 3 5 7 11 13]
            after sorting [2 3 5 7 11 13]
    **/
    

    5. 二元选择排序

    package main
    
    import "fmt"
    
    func BinarySelectSort(vector []int) {
        fmt.Println("SelectSort")
        fmt.Println(vector)
        n := len(vector)
        for i := 0; i < n/2; i++ {
            // 选择最小的元素和最大元素
            k := i
            t := n - i - 1
            for j := i + 1; j <= n-i-1; j++ {
                if vector[k] > vector[j] {
                    k = j
                }
                if vector[t] < vector[j] {
                    t = j
                }
            }
            // 交换
            if k != i {
                temp := vector[i]
                vector[i] = vector[k]
                vector[k] = temp
            }
            if t != n-i-1 {
                temp := vector[n-i-1]
                vector[n-i-1] = vector[t]
                vector[t] = temp
            }
            fmt.Println(vector)
        }
    }
    func main() {
        primes := [6]int{3, 11, 5, 2, 13, 7}
        fmt.Println("orginal", primes)
        BinarySelectSort(primes[:])
        fmt.Println("after sorting", primes)
    }
    
    /**
        out:
            orginal [3 11 5 2 13 7]
            SelectSort
            [3 11 5 2 13 7]
            [2 11 5 3 7 13]
            [2 3 5 11 7 13]
            [2 3 5 11 7 13]
            after sorting [2 3 5 11 7 13]
    **/
    
    

    6. 快速排序

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