1. Chapter 10 The Stack

2. 10-2 Stack: An Abstract Data Type An important abstraction that you will encounter in many applications. We will describe two uses: Interrupt-Driven I/O The rest of the story… Evaluating arithmetic expressions Store intermediate results on stack instead of in registers

3. 10-3 Stacks A LIFO (last-in first-out) storage structure. The first thing you put in is the last thing you take out. The last thing you put in is the first thing you take out. Many different implementations satisfy the above definition. Two main operations: PUSH: add an item to the stack POP: remove an item from the stack

4. 10-4 A Physical Stack Coin rest in the arm of an automobile First quarter out is the last quarter in. 19951996 1998 1982 1995 1998 1982 1995 Initial StateAfter One Push After Three More Pushes After One Pop

5. 10-5 A Hardware Implementation / / / Yes Empty: TOP #18 / / / No Empty: TOP #12 #5 #31 #18 / / / No Empty: TOP #31 #18 / / / No Empty: TOP Initial StateAfter One Push After Three More Pushes After Two Pops

6. 10-6 An LC-3 Software Implementation Data items don't move in memory, just our idea about where the TOP of the stack is. / / / TOP / / / #18 / / / TOP #12 #5 #31 #18 / / / TOP #12 #5 #31 #18 / / / TOP Initial StateAfter One Push After Three More Pushes After Two Pops x3000x2FFFx2FFCx2FFE R6 R6 is used to hold the Top of Stack (TOS) pointer.

7. 10-7 Basic Push and Pop Code For our implementation, stack grows downward (when item added, TOS moves closer to 0) Push ADD R6, R6, #-1 ; decrement stack ptr STR R0, R6, #0 ; store data (R0) Pop LDR R0, R6, #0 ; load data from TOS ADD R6, R6, #1 ; increment stack ptr

8. 10-8 Pop with Underflow Detection If we try to pop too many items off the stack, an underflow condition occurs. Check for underflow by checking TOS before removing data. Return status code in R5 (0 for success, 1 for underflow) POP LD R1, EMPTY ; Value of TOS when stack EMPTY ADD R2, R6, R1 ; Compare stack pointer BRz FAIL ; with x3000 LDR R0, R6, #0 ; Load the data ADD R6, R6, #1 ; Increment stack pointer AND R5, R5, #0 ; SUCCESS: R5 = 0 RET FAIL AND R5, R5, #0 ; FAIL: R5 = 1 ADD R5, R5, #1 RET EMPTY.FILL x-3000

9. 10-9 Push with Overflow Detection If we try to push too many items onto the stack, an overflow condition occurs. Check for overflow by checking TOS before adding data. Return status code in R5 (0 for success, 1 for overflow) PUSH LD R1, FULL ; Value of TOS when stack FULL ADD R2, R6, R1 ; Compare stack pointer BRz FAIL ; with x2000 ADD R6, R6, #-1 ; decrement stack pointer STR R0, R6, #0 ; store the data AND R5, R5, #0 ; SUCCESS: R5 = 0 RET FAIL AND R5, R5, #0 ; FAIL: R5 = 1 ADD R5, R5, #1 RET FULL.FILL x-2000

10. 10-10 Interrupt Service Routine (ISR) Interrupts were introduced in Chapter 8. 1.External device signals need to be serviced. 2.Processor saves state and starts service routine. 3.When finished, processor restores state and resumes program. Chapter 8 didn’t explain how (2) and (3) occur, because it involves a stack. Now, we’re ready… Interrupt is an unscripted subroutine call, triggered by an external event.

11. 10-11 Processor State What is needed to completely capture the state of a running process? Processor Status Register Privilege [15], Priority Level [10:8], Condition Codes [2:0] Program Counter Pointer to next instruction to be executed. Registers All temporary state of the process that’s not stored in memory.

12. 10-12 Save State. How? Where? Who? Processor Status Register It’s not addressable (no instruction to read it). Program Counter We have no idea when interrupt might occur. Can the ISR save the PC? Registers Can the ISR save registers? So PSR and PC must be saved by HW during an interrupt But where? –In a special location in memory? Well, sort of, but… Interrupts may be nested – an ISR can be interrupted! Solution: Use a stack! Location of stack “hard-wired” – memory set aside for this. Push state to save, pop to restore. Performed automatically when ISR called.

13. 10-13 Supervisor Stack A special region of memory used as the stack for interrupt service routines. Manually set this for the LC-3, using R6 as stack pointer Use R6 as stack pointer. So that our PUSH/POP routines (from before) still work.

14. 10-14 Invoking the Service Routine – The Details 1.Push PSR and PC to Supervisor Stack. 2.Set PSR[15] = 0 (supervisor (aka privilege) mode). 3.Set PSR[10:8] = priority of interrupt being serviced. 4.Set PSR[2:0] = 0. 5.Set MAR = x01vv, where vv = 8-bit interrupt vector provided by interrupting device (e.g., keyboard = x80). 6.Load memory location (M[x01vv]) into MDR. 7.Set PC = MDR; now first instruction of ISR will be fetched. Note: This all happens (automatically) between the STORE RESULT of the last user instruction and the FETCH of the first ISR instruction. Cannot happen in the middle of an instruction

15. 10-15 Returning from Interrupt Special instruction – RTI – that restores state. 1.Pop PC from supervisor stack. (PC = M[R6]; R6 = R6 + 1) 2.Pop PSR from supervisor stack. (PSR = M[R6]; R6 = R6 + 1) (Both done automatically) RTI is a privileged instruction. Can only be executed in Supervisor/Privilege Mode. If executed in User Mode, causes an exception. (More about that later.)

16. 10-16 Example (1) / / / x3006 PC Program A ADD x3006 Executing ADD at location x3006 when Device B interrupts. R6

17. 10-17 Example (2) / / / x3007 PSR for A / / / x6200 PC R6 Program A ADD x3006 Push PSR and PC onto stack, then transfer to Device B service routine (at x6200). x6200 ISR for Device B x6210 RTI AND x6202

18. 10-18 Example (3) / / / x3007 PSR for A x6203 PSR for B x6300 PC R6 Program A ADD x3006 x6200 ISR for Device B AND x6202 ISR for Device C Executing AND at x6202 when Device C interrupts. Push PSR and PC onto stack, then transfer to Device C service routine (at x6300). x6300 x6315 RTI x6210 RTI

19. 10-19 Example (4) / / / x3007 PSR for A x6203 PSR for B x6203 PC R6 Program A ADD x3006 x6200 ISR for Device B AND x6202 ISR for Device C Execute RTI at x6315; pop PC and PSR from stack. x6300 x6315 RTI x6210 RTI

20. 10-20 Example (5) / / / x3007 PSR for A x6203 PSR for B x3007 PC Program A ADD x3006 x6200 ISR for Device B AND x6202 ISR for Device C Execute RTI at x6210; pop PSR and PC from stack. Restore R6. Continue Program A as if nothing happened. x6300 x6315 RTI x6210 RTI R6

21. 10-21 Exception: Internal Interrupt When something unexpected happens inside the processor, it may cause an exception. Examples: Privileged operation (e.g., RTI in user mode) Executing an illegal opcode Divide by zero Accessing an illegal address (e.g., protected system memory) Handled just like an interrupt Vector is determined internally by type of exception Priority is the same as running program

22. 10-22 Another use for a stack: Arithmetic Reverse Polish Notation (RPN) Calculators Instead of registers, some ISA's use a stack for source and destination operations: a zero-address machine. Operations: Push – place something on the top of the stack Pop – remove item on the top of the stack Arithmetic Operations – pop two items from the stack perform operation with those two items push result onto stack

23. 10-23 Comparison – Registers vs. Stack-Based Write E = (A+B)*(C+D) using General Purpose Registers (Assume A, B, C, D, and E are labels for a memory location.)

24. 10-24 Comparison – Registers vs. Stack-Based Write E = (A+B)*(C+D) using a stack:

25. Comparison – Registers vs. Stack-Based Which instructions are larger? Which requires more instructions? Which requires more memory operations? Why use a stack? Computer has few registers (registers were once expensive) Simple programming model and ISA Java’s machine model is a stack. Reality: stack is stored on-chip in cache 10-25