; Stack machine simulator ; Written by Teresa Carrigan ; April 2004 globals [top step numOnStack console] breeds [ node ] to startup setup end to set-console [ msg ] locals [ n x ] set n length msg set x int (n * .25) if x > (screen-size-x * .5 - 1) [ set x (screen-size-x * .5 - 1) ] ask patches with [ pycor = -11 ] [ set plabel "" ] ask patch-at x -11 [ set plabel msg] end ; initialize the stack and global variables to setup ca ask patches with [ pycor < -9 ] [ set pcolor blue ] set-console "initializing stack" set top (- screen-size-y * .4) set step 4 set numOnStack 0 set top (top + step) end ; create a new node, place it on the top of the stack to push locals [ name ] set name user-input "What should I push?" set-console "push " + name cct-node 1 [ set shape "circle" set color red setxy 0 top set size 5.0 set label name ] set top (top + step) set numOnStack (numOnStack + 1) end ; remove the node at the top of the stack to pop locals [ msg ] ifelse any? node-at 0 (top - step) [ask node-at 0 (top - step) [ set msg ("pop result = " + label ) die ] set-console msg set top (top - step) ] [ set-console "Stack is empty - can't pop!" ] set numOnStack (numOnStack - 1) end ; Remove the top two items from the stack, add them, and then push their sum onto the stack to add locals [ save ] ifelse any? node-at 0 (top - step - step) [ set-console "add" ask node-at 0 (top - step) [ set save label die ] set top (top - step) ask node-at 0 (top - step) [ set label ( "(" + label + "+" + save + ")" ) ] ] [ set-console "Two items needed to ADD" ] set numOnStack (numOnStack - 1) end ; Remove the top two items from the stack, multiply them, and then push their product onto the stack. to mul locals [ save ] ifelse any? node-at 0 (top - step - step) [ set-console "mul" ask node-at 0 (top - step) [ set save label die ] set top (top - step) ask node-at 0 (top - step) [ set label ( "(" + label + "*" + save + ")" ) ] ] [ set-console "Two items needed to MUL" ] set numOnStack (numOnStack - 1) end ; Remove the top two items from the stack, subtract them, and then push their difference onto the stack. to sub locals [ save ] ifelse any? node-at 0 (top - step - step) [ set-console "sub" ask node-at 0 (top - step) [ set save label die ] set top (top - step) ask node-at 0 (top - step) [ set label ( "(" + label + "-" + save + ")" ) ] ] [ set-console "Two items needed to SUB" ] set numOnStack (numOnStack - 1) end ; Remove the top two items from the stack, divide them, and then push their quotient onto the stack. to div locals [ save ] ifelse any? node-at 0 (top - step - step) [ set-console "div" ask node-at 0 (top - step) [ set save label die ] set top (top - step) ask node-at 0 (top - step) [ set label ( "(" + label + "/" + save + ")" ) ] ] [ set-console "Two items needed to DIV" ] set numOnStack (numOnStack - 1) end ; push a random item onto the stack to push-random locals [ name ] set name (random-one-of ["a" "b" "c" "d" "e" "f" "g"]) cct-node 1 [ set shape "circle" set color red setxy 0 top set size 5.0 set label name ] set top (top + step) set numOnStack (numOnStack + 1) set-console "push " + name end ; do a random arithmetic operation on the top two nodes of the stack to oper-random locals [oper] set oper (random-one-of ["add" "sub" "mul" "div"]) run oper end ; Generate a single random line of a stack machine program, and then execute it. ; Uses oper-random and push-random to demo ifelse (numOnStack > 4) [ oper-random ] [ ifelse (numOnStack < 1) [push-random ] [ ifelse (numOnStack > 1) and (random 100 < 50) [ oper-random ] [ ifelse (numOnStack = 1) and (random 100 < 25) [pop] [push-random ] ] ] ] end ; *** NetLogo Model Copyright Notice *** ; ; Copyright 2004 by Teresa W. Carrigan. All rights reserved. ; ; Permission to use, modify or redistribute this model is hereby granted, ; provided that both of the following requirements are followed: ; a) this copyright notice is included. ; b) this model will not be redistributed for profit without permission ; from Teresa W. Carrigan. ; Contact Teresa W. Carrigan for appropriate licenses for redistribution ; for profit. ; ; To refer to this model in academic publications, please use: ; Carrigan, T. (2004). Simple Stack Machine model. ; Blackburn College, Carlinville IL. ; ; In other publications, please use: ; Copyright 2004 by Teresa W. Carrigan. All rights reserved. ; ; *** End of NetLogo Model Copyright Notice *** @#$#@#$#@ GRAPHICS-WINDOW 240 14 618 477 11 13 16.0 1 20 1 1 1 CC-WINDOW 44 270 179 337 Command Center BUTTON 51 68 114 101 NIL setup NIL 1 T OBSERVER T BUTTON 51 120 114 153 NIL push NIL 1 T OBSERVER T BUTTON 116 120 179 153 NIL pop NIL 1 T OBSERVER T BUTTON 51 155 114 188 NIL add NIL 1 T OBSERVER T BUTTON 50 189 113 222 NIL mul NIL 1 T OBSERVER T BUTTON 116 155 179 188 NIL sub NIL 1 T OBSERVER T BUTTON 116 189 179 222 NIL div NIL 1 T OBSERVER T BUTTON 50 230 179 263 random command demo NIL 1 T OBSERVER T BUTTON 114 68 177 101 reset ca\nclear-output\nsetup NIL 1 T OBSERVER T @#$#@#$#@ WHAT IS IT? ----------- This is a model of a generic zero-address computer, also known as a stack machine. This model does not show the numeric output of a program, but rather the standard infix expression for that output. This allows students to test their stack machine programs to see if the programs correctly implement the assigned expression. HOW IT WORKS ------------ A generic stack machine assembly language has only six operations: Push, Pop, Add, Sub, Mul, and Div. Push adds an item to the top of the stack, then increments the stack pointer. Pop removes the item on the top of the stack. The items on the stack do not operate by themselves in this model; everything happens because of button clicks. This is inherent in any stack model, because only the top of the stack is allowed to be processed. HOW TO USE IT ------------- First press the Setup button, which builds the base of the stack. Now push at least two items onto the stack, and then try pressing one of the operation buttons. If you have written a Stack Machine program that you wish to test, then for each line of the program simply press the appropriate button. To see a demonstration of a random program, repeatedly press the "Random command" button. Setup - Initializes variables and builds the base of the stack. Push - Adds an item to the top of the stack. This requires the user to input the item to be added. Pop - Removes the top item from the stack, storing it somewhere. In this simulation, it is simply displayed in the console. Add - Removes the top two items from the stack, adds them, and then pushes their sum onto the stack. Sub - Removes the top two items from the stack, subtracts them, and then pushes their difference onto the stack. Mul - Removes the top two items from the stack, multiplies them, and then pushes their product onto the stack. Div - Removes the top two items from the stack, divides them, and then pushes their quotient onto the stack. Random command - Generates a single random line of a stack machine program, and then executes it. This is handy for demonstrating how the stack machine works when you do not have a program written yet. Reset - Clears the command center window and also the graphics window. You must press Setup to build the stack again. THINGS TO NOTICE ---------------- Every time you Push an item, the stack gets one more item on top. For every time you Pop, Add, Sub, Mul, or Div, the stack loses one item. What happens when you try to Pop and the stack is empty? What happens when you have a single item on the stack, and you try to Add? When you press Sub, how does the stack determine which item is subtracted? THINGS TO TRY ------------- Convert an arithmetic expression to Reverse Polish Notation (also known as postfix). Enter this RPN expression as a series of stack commands. The final result popped will be the normal infix equivalent of the expression. For example, C 4 + 3 A - * would be entered as Push C, Push 4, Add, Push 3, Push A, Sub, Mul, Pop. What is popped should be (C + 4) * (3 – A). EXTENDING THE MODEL ------------------- Add another operator to the stack, such as exponentiation, or sin. Add a memory bank, where variables may be pushed from, or popped to. Change the stack machine so that instead of simply changing the label of an item, items always have numeric values and the expressions are evaluated. Modify push to limit the number of items that can be pushed on the stack (to prevent wrapping). NETLOGO FEATURES ---------------- Several interesting NetLogo features were used in this model. The oper-random procedure uses random-one-of to select the name of a procedure to run, and then uses the run command to call the procedure. This is much cleaner than a series of nested ifelse statements to call the procedure chosen. Each procedure that removes an item from the stack uses "ifelse any? node-at x y" to check that there is a node (the name of the breed used for items) at position x y. CREDITS AND REFERENCES ---------------------- This model was written by Teresa W. Carrigan, April 2004. Permission to use, modify or redistribute this model is hereby granted, provided that both of the following requirements are followed: a) this copyright notice is included. b) this model will not be redistributed for profit without permission from Teresa W. Carrigan. Contact Teresa W. Carrigan for appropriate licenses for redistribution for profit. To refer to this model in academic publications, please use: Carrigan, T. (2004). Simple Stack Machine model. Blackburn College, Carlinville, IL. In other publications, please use: Copyright 2004 by Teresa W. Carrigan. All rights reserved. For more information on Stack Machines, see one of these textbooks: [1] Stallings, W. "Computer Organization and Architecture: Designing for Performance", Sixth Edition. Prentice Hall. pages 371-376. [2] Tanenbaum, A. "Structured Computer Organization", Fourth Edition. Prentice Hall. pages 338-341. [3] Null, L. and Lobur, J. "Essentials of Computer Organization and Architecture", First Edition. Jones & Bartlett. pages 204-207. @#$#@#$#@ default true 0 Polygon -7566196 true true 150 5 40 250 150 205 260 250 ant true 0 Polygon -7566196 true true 136 61 129 46 144 30 119 45 124 60 114 82 97 37 132 10 93 36 111 84 127 105 172 105 189 84 208 35 171 11 202 35 204 37 186 82 177 60 180 44 159 32 170 44 165 60 Polygon -7566196 true true 150 95 135 103 139 117 125 149 137 180 135 196 150 204 166 195 161 180 174 150 158 116 164 102 Polygon -7566196 true true 149 186 128 197 114 232 134 270 149 282 166 270 185 232 171 195 149 186 149 186 Polygon -7566196 true true 225 66 230 107 159 122 161 127 234 111 236 106 Polygon -7566196 true true 78 58 99 116 139 123 137 128 95 119 Polygon -7566196 true true 48 103 90 147 129 147 130 151 86 151 Polygon -7566196 true true 65 224 92 171 134 160 135 164 95 175 Polygon -7566196 true true 235 222 210 170 163 162 161 166 208 174 Polygon -7566196 true true 249 107 211 147 168 147 168 150 213 150 arrow true 0 Polygon -7566196 true true 150 0 0 150 105 150 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67 122 96 126 63 144 @#$#@#$#@ NetLogo 2.0.1 @#$#@#$#@ @#$#@#$#@ @#$#@#$#@