Zoom 2/Zoom - Release 2 (1996)(Active Software)[!].iso/programming/basic/ace/turtle/bst.b

Text File | 1994-10-02 | 7KB | 355 lines

{*
** A program that implements the Binary Search Tree operations
** from the text by Helman, Veroff and Carrano, "Intermediate Data
** Structures and Algorithms".
**
** Pascal version modified by David Benn, May 3rd 1993
**
** Rewritten (and extended) in ACE BASIC for the Amiga,
** June 19th,21st,22nd,30th,
** July 3rd 1993
*}

const nil=0&
const true=-1&,false=0&
const down=0,lt=1,rt=2
const fast=1,slow=2
const moment=0.75

struct node
  single  item
  longint lchild
  longint rchild
end struct

declare  struct node *t
longint  opt,finished
shortint speed

SUB prepare_for_output
    window output 2
    locate 14,1
    for i%=1 to 70:print " ";:next
    locate csrlin,1
END SUB

SUB Leftmost(ADDRESS paddr,ADDRESS itemaddr)
declare struct node *p
declare struct node *delnode

    p = *&paddr
    if p <> nil then
        if p->lchild = nil then
            *!itemaddr := p->item
            delnode = p
            p = p->rchild
            *&paddr := p
        else
            Leftmost(@p->lchild,itemaddr)
        end if
    end if
END SUB

SUB Delitem(ADDRESS delptraddr)
declare struct node *delptr
declare struct node *p
single  replitem

    delptr = *&delptraddr
    if delptr <> nil then
        if (delptr->lchild = nil) and (delptr->rchild = nil) then
            {leaf}
            delptr = nil
            *&delptraddr := delptr
        else
            if delptr->lchild = nil then
                {node with right child}
                p = delptr
                delptr = delptr->rchild
                *&delptraddr := delptr
            else
                if delptr->rchild = nil then
                    {node with left child}
                          p = delptr
                    delptr = delptr->lchild
                    *&delptraddr := delptr
                else
                    {node with two children}
                    Leftmost(@delptr->rchild,@replitem)
                    delptr->item = replitem
                end if
            end if
        end if
    end if
END SUB

SUB Del(ADDRESS taddr,keyval)
declare struct node *t
    t = *&taddr
    if T <> nil then
        if keyval = T->item then
            Delitem(taddr)
        else
            if keyval < T->item then
                Del(@T->lchild,keyval)
            else
                Del(@t->rchild,keyval)
            end if
        end if
    end if
END SUB

SUB DeleteItem(ADDRESS taddr)
    input "Enter item: ",item
    Del(taddr,item)
END SUB

SUB Insert(ADDRESS taddr,newitem)
declare struct node *t
    t = *&taddr
    if T = nil then
        T = Alloc(sizeof(node))
        T->item = newitem
        T->lchild = nil
        T->rchild = nil
        *&taddr := t
    else
        if newitem < T->item then
            Insert(@T->lchild, newitem)
        else
            Insert(@T->rchild, newitem)
        end if
    end if
END SUB

SUB InTree(ADDRESS taddr,single item)
'..determine whether a value exists in the tree
declare struct node *t
    t = *&taddr
    if t = nil then
        InTree = false
    else
        if t->item = item then
            InTree = true
        else
            if item < t->item then
                InTree(@t->lchild,item)
            else
                InTree(@t->rchild,item)
            end if
        end if
    end if
END SUB

SUB InsertItem(ADDRESS taddr)
    input "Enter Item: ",item
    if not InTree(taddr,item) then call Insert(taddr,item)
END SUB

SUB Traverse(ADDRESS taddr,shortint order)
'..preorder,inorder or postorder traversal
declare struct node *t
    t = taddr
    if t <> nil then
        if order=1 then print t->item;
        Traverse(t->lchild,order)
        if order=2 then print t->item;
        Traverse(t->rchild,order)
        if order=3 then print t->item;
    end if
END SUB

SUB ShowNodes(ADDRESS taddr)
    repeat
      input "1=preorder  2=inorder  3=postorder ",order
    until order>=1 and order<=3
    prepare_for_output
    Traverse(taddr,order)
    window output 1
END SUB

SUB GraphTree(ADDRESS taddr)
'..postorder traversal showing tree structure
declare struct node *t
shared  speed
    t = taddr
    if T <> nil then
        '..pause?
        if speed=slow and t->lchild then
          time0=timer
          while timer < time0+moment:wend
        end if

        {left subtree}
        setheading 135
        if t->lchild then pendown:forward 20
        GraphTree(T->lchild)
        setheading 135
        if t->lchild then penup:back 20

        '..pause?
        if speed=slow and t->rchild then
          time0=timer
          while timer < time0+moment:wend
        end if

        {right subtree}
        setheading 45
        if t->rchild then pendown:forward 20
        GraphTree(T->rchild)
        setheading 45
        if t->rchild then penup:back 20

        '..pause?
        if speed=slow then
          time0=timer
          while timer < time0+moment:wend
        end if

        {visit node}
        num$=str$(T->item)
        if sgn(T->item) <> -1 then num$=right$(num$,len(num$)-1)
        '..position number centrally
        halfnumlen%=len(num$)\2
        penup
        setxy xcor-halfnumlen%*8,ycor
        color 3
        prints num$
        color 2
        setxy xcor+halfnumlen%*8,ycor
        pendown
    end if

END SUB

SUB ShowTree(ADDRESS t)
shared speed
    window output 2
    color 2,1
    cls
    setheading 90
    penup
    setxy 320,20
    pendown
    GraphTree(t)
    window output 1
END SUB

SUB TreeDisplaySpeed
shared speed
    repeat
       input "1=fast  2=slow ",speed
    until speed=fast or speed=slow
END SUB

SUB kill_tree(ADDRESS t)
' make tree empty
    *&t := nil
END SUB

SUB max(x,y)
    if x > y then
        max = x
    else
        max = y
    end if
END SUB

SUB height(ADDRESS taddr)
' recursively determine height of tree
declare struct node *t
    t = taddr
    if t <> nil then
        height = max(height(t->lchild), height(t->rchild)) + 1
    else
        height = 0
    end if
END SUB

SUB maxitem(ADDRESS taddr)
' return maximum item in tree (rightmost node)
declare struct node *t
  t = taddr
  if t = nil then
     maxitem = 0
  else
     if t->rchild = nil then
        maxitem = t->item
     else
        maxitem = maxitem(t->rchild)
     end if
  end if
END SUB

SUB nodes(ADDRESS taddr)
' return no. of nodes in tree
declare struct node *t
  t = taddr
  if t <> nil then
    nodes = nodes(t->lchild) + nodes(t->rchild) + 1
  else
     nodes = 0
  end if
END SUB

SUB SelectMenu(ADDRESS opt)
    repeat
    CLS
    print "1.  Insert node"
    print "2.  Delete node"
    print "3.  Print node values
    print "4.  Show height of tree"
    print "5.  Find maximum value"
    print "6.  Count nodes in tree"
    print "7.  Delete all nodes"
    print "8.  Change tree display speed"
        print "0.  Quit"
        input "Make choice (0..8) ",choice
    until choice >= 0 and choice <= 8
    *&opt:=choice
END SUB

SUB DoOption(longint opt,ADDRESS taddr,longint finished)
declare struct node *t
shared  speed
      t = *&taddr
      if opt>=4 and opt<=6 then call prepare_for_output
      CASE
        opt=1  : InsertItem(@t)
        opt=2  : DeleteItem(@t)
        opt=3  : ShowNodes(t)
        opt=4  : print "Height of tree is";height(t)
        opt=5  : print "Maximum item is";maxitem(t)
        opt=6  : print "Number of nodes in tree is";nodes(t)
        opt=7  : kill_tree(@t)
        opt=8  : TreeDisplaySpeed
        opt=0  : *&finished := true
      END CASE
      if opt>=4 and opt<=6 then window output 1
      if opt=1 or opt=2 or opt=7 then call ShowTree(t)
      *&taddr := t
END SUB

{main}
window 2,"BST Output",(0,0)-(640,150),6
font "topaz",8
color 2,1
cls
window 1,"BST",(0,150)-(640,255),6
font "topaz",8
color 1

{create empty tree}
t=nil

speed=fast
finished=false

repeat
  SelectMenu(@opt)
  DoOption(opt,@t,@finished)
until finished

window close 1
window close 2