将合并排序与从C到MIPS的链接列表进行翻译

时间:2016-12-10 23:03:04

标签: c pointers mips mergesort translate

我尝试使用链接列表在MIPS中实现合并排序算法。我基本上试图翻译此代码:http://www.geeksforgeeks.org/merge-sort-for-linked-list/ 但是,我有一些问题。排序列表不完整,就像它丢失了整个递归分支一样,例如,这是要排序的链接列表: 4 - > 3 - > 1 - > 2 输出是:1 - > 2 - > 4.当我尝试将列表写入文件时出现错误(0x004003fc处的运行时异常:地址超出范围0x00000000)。我猜这是因为我打算打印4个号码,但我在列表中只有3个号码。

我认为我需要帮助的地方在于MergeSort功能,因为我完全不了解它实际上在指针方面做了什么。这就是我认为它的作用:

它接收指向列表头部的指针作为参数。在函数内部,它创建了" head"指针,它指向headRef的VALUE(在这种情况下,& head在main上传递,所以现在" head"在函数内部有head的地址在main中)。然后它声明了两个指针a和b(在MIPS中,这就像做a = 0,b = 0?我可以' t"声明"寄存器)。然后它检查列表是否包含1或0个元素,如果是,则返回。否则,它会使用FrontBackSplit(head,& a,& b)将列表分成两半,但这是棘手的...这个函数不会返回任何内容。相反,它修改了指针" a"和" b",使它们分别指向列表的前半部分和后半部分。在MIPS中,我认为这是两个返回值$ v0和$ v1。然后它从左边开始递归地对列表进行排序,但是再一次,它不会返回任何内容......它会修改指针" a"和" b"。最后,它将指针的值更改为列表的头部,使其指向新的排序列表。

由于有很多** ptr和& ptr值,我对在堆栈上保存的内容感到困惑。关于这个功能,这就是我到目前为止所做的:

# void mergesort(node** headRef)
# input $a0: head of the list
mergesort:
    move    $t0, $s3                # node* head = headRef
    li      $t1, 0                  # node* a
    li      $t2, 0                  # node* b
    # if(head == NULL || head->next == NULL)
    beqz    $t0, mergesort_return
    lw      $t3, node_next($t0)     # $t3 = head->next
    beqz    $t3, mergesort_return

    move    $a0, $t0
    move    $a1, $t1
    move    $a2, $t2
    # save head and $ra
    addi    $sp, $sp, -8
    sw      $t0, 0($sp)
    sw      $ra, 4($sp)
    jal     frontbacksplit
    # restore head and $ra
    lw      $t0, 0($sp)
    lw      $ra, 4($sp)
    addi    $sp, $sp, 8
    # save output results
    move    $t1, $v0                # a now points to the first half + 1 (if odd) of the list (frontRef)
    move    $t2, $v1                # b now points to the second half of the list (backRef)

    # save head, a, b and $ra
    addi    $sp, $sp, -16
    sw      $t0, 0($sp)
    sw      $t1, 4($sp)
    sw      $t2, 8($sp)
    sw      $ra, 12($sp)
    # mergesort(a)
    move    $a0, $t1
    jal     mergesort
    # restore registers and $ra
    lw      $t0, 0($sp)
    lw      $t1, 4($sp)
    lw      $t2, 8($sp)
    lw      $ra, 12($sp)
    addi    $sp, $sp, 16

    # save head, a, b and $ra
    addi    $sp, $sp, -16
    sw      $t0, 0($sp)
    sw      $t1, 4($sp)
    sw      $t2, 8($sp)
    sw      $ra, 12($sp)
    # mergesort(b)
    move    $a0, $t2
    jal     mergesort
    # restore registers and $ra
    lw      $t0, 0($sp)
    lw      $t1, 4($sp)
    lw      $t2, 8($sp)
    lw      $ra, 12($sp)
    addi    $sp, $sp, 16

    move    $a0, $t1
    move    $a1, $t2
    # save head, a, b and $ra
    addi    $sp, $sp, -16
    sw      $t0, 0($sp)
    sw      $t1, 4($sp)
    sw      $t2, 8($sp)
    sw      $ra, 12($sp)
    jal     sortedmerge
    # restore registers and $ra
    lw      $t0, 0($sp)
    lw      $t1, 4($sp)
    lw      $t2, 8($sp)
    lw      $ra, 12($sp)
    addi    $sp, $sp, 16

    move    $s3, $v0        # s3 is the saved head of the original list declared in main

mergesort_return:
    jr      $ra

1 个答案:

答案 0 :(得分:0)

嗯......我做到了。这是一个家庭作业,并没有评分。我希望他们不要以为我复制了它。大声笑。

######### uses function frontbacksplit
######### WORKING
# mergesort
# input $a0: head of the list to merge
mergesort:
    li      $t0, 0      # head_one = NULL
    li      $t1, 0      # head_two = NULL
    # base case
    beqz    $a0, mergesort_return
    lw      $t2, node_next($a0)
    beqz    $t2, mergesort_return

    addi    $sp, $sp, -8
    sw      $ra, 0($sp)
    sw      $a0, 4($sp)

    # move $a0, $a0
    move    $a1, $t0
    move    $a2, $t1
    jal     frontbacksplit
    move    $t0, $v0
    move    $t1, $v1

    lw      $ra, 0($sp)
    lw      $a0, 4($sp)
    addi    $sp, $sp, 8


    # mergesort(a)
    addi    $sp, $sp, -16
    sw      $ra, 0($sp)
    sw      $t0, 4($sp)
    sw      $t1, 8($sp)
    sw      $a0, 12($sp)

    move    $a0, $t0
    jal     mergesort   # mergesort(a)
    move    $t9, $v0

    lw      $ra, 0($sp)
    lw      $t0, 4($sp)
    lw      $t1, 8($sp)
    lw      $a0, 12($sp)
    addi    $sp, $sp, 16

    # mergesort(b)
    addi    $sp, $sp, -20
    sw      $ra, 0($sp)
    sw      $t0, 4($sp)
    sw      $t1, 8($sp)
    sw      $a0, 12($sp)
    sw      $t9, 16($sp)

    move    $a0, $t1
    jal     mergesort   # mergesort(b)
    move    $t8, $v0

    lw      $ra, 0($sp)
    lw      $t0, 4($sp)
    lw      $t1, 8($sp)
    lw      $a0, 12($sp)
    lw      $t9, 16($sp)
    addi    $sp, $sp, 20
    # t8 = a, t9 = b

    addi    $sp, $sp, -24
    sw      $ra, 0($sp)
    sw      $t0, 4($sp)
    sw      $t1, 8($sp)
    sw      $a0, 12($sp)
    sw      $t9, 16($sp)
    sw      $t8, 20($sp)

    move    $a0, $t8
    move    $a1, $t9
    jal     merge

    lw      $ra, 0($sp)
    lw      $t0, 4($sp)
    lw      $t1, 8($sp)
    lw      $a0, 12($sp)
    lw      $t9, 16($sp)
    lw      $t8, 20($sp)
    addi    $sp, $sp, 24

    #move   $v0, $v0

    jr      $ra

mergesort_return:
    move    $v0, $a0
    jr      $ra 


######### WORKING
# input $a0: source node (list to split)
# input $a1: front ref (a) $s4
# input $a2: back ref (b)  $s5
# output $v0: frontRef
# output $v1: backRef
frontbacksplit:
    # $a0 = node* source, $a1 = node* frontRef, $a2 = node* backRef
    move    $t0, $a0                # $t0 = source
    move    $t1, $a1                # $t1 = frontRef
    move    $t2, $a2                # $t2 = backRef

    li      $t3, 0                  # node* fast;
    li      $t4, 0                  # node* slow;
    # if(source == NULL)
    beqz    $t0, frontbacksplit_sorted
    lw      $t5, node_next($t0)     # $t5 = source->next
    # if(source->next == NULL)
    beqz    $t5, frontbacksplit_sorted
    # else
    move    $t4, $t0                # slow = source
    lw      $t3, node_next($t0)     # fast = source->next

frontbacksplit_while:
    # while(fast != NULL)
    beqz    $t3, frontbacksplit_endwhile
    lw      $t3, node_next($t3)     # fast = fast->next
    # if(fast != NULL)
    beqz    $t3, frontbacksplit_while
    lw      $t4, node_next($t4)     # slow = slow->next
    lw      $t3, node_next($t3)     # fast = fast->next
    j       frontbacksplit_while

frontbacksplit_endwhile:
    move    $t1, $t0                # frontRef = source
    lw      $t2, node_next($t4)     # backRef = slow->next
    sw      $zero, node_next($t4)   # slow->next = NULL

    move    $v0, $t1
    move    $v1, $t2
    j       frontbacksplit_end

frontbacksplit_sorted:
    move    $v0, $t0                # frontRef = source
    li      $v1, 0                  # backRef = NULL

frontbacksplit_end:
    jr      $ra


############ WORKING
# input $a0: head of the first list
# input $a1: head of the second list
# output $v0: pointer to the head of the merged-sorted list
merge:
    beqz    $a0, merge_return2
    beqz    $a1, merge_return1
    li      $t3, 0          # head_three = NULL

    lw      $t0, node_int($a0)
    lw      $t1, node_int($a1)

    addi    $sp, $sp, -16
    sw      $ra, 0($sp)
    sw      $a0, 4($sp)
    sw      $a1, 8($sp)
    sw      $t3, 12($sp)

    bge     $t0, $t1, merge_else

    # if head_one->num < head_two->num
    lw      $a0, node_next($a0)
    # $a1 already has head_two
    jal     merge
    move    $t0, $v0        # ptr = merge(head_one->next, head_two)
    # restore values
    lw      $ra, 0($sp)
    lw      $a0, 4($sp)
    lw      $a1, 8($sp)
    lw      $t3, 12($sp)

    move    $t3, $a0
    sw      $t0, node_next($t3)
    move    $v0, $t3
    addi    $sp, $sp, 16
    jr      $ra 

merge_else:
    # $a0 already has head_one
    lw      $a1, node_next($a1)
    jal     merge
    move    $t0, $v0        # ptr = merge(head_one->next, head_two)
    # restore values
    lw      $ra, 0($sp)
    lw      $a0, 4($sp)
    lw      $a1, 8($sp)
    lw      $t3, 12($sp)

    move    $t3, $a1
    sw      $t0, node_next($t3)
    move    $v0, $t3
    addi    $sp, $sp, 16
    jr      $ra

merge_return1:
    move    $v0, $a0
    jr      $ra

merge_return2:
    move    $v0, $a1
    jr      $ra 

我知道它很乱,但它有效:P。