# PROBLEMS #20,R0,R1 #\$3A,R2,R4

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1 506 CHAPTER 8 PIPELINING (Corrisponde al cap Introduzione al pipelining) PROBLEMS 8.1 Consider the following sequence of instructions Mul And #20,R0,R1 #3,R2,R3 #\$3A,R2,R4 R0,R2,R5 In all instructions, the destination operand is given last. Initially, registers R0 and R2 contain 2000 and 50, respectively. These instructions are executed in a computer that has a four-stage pipeline similar to that shown in Figure 8.2. Assume that the first instruction is fetched in clock cycle 1, and that instruction fetch requires only one clock cycle. (a) Draw a diagram similar to Figure 8.2a. Describe the operation being performed by each pipeline stage during each of clock cycles 1 through 4. (b) Give the contents of the interstage buffers, B1, B2, and B3, during clock cycles 2 to 5.

2 PROBLEMS Repeat Problem 8.1 for the following program: Mul And #20,R0,R1 #3,R2,R3 #\$3A,R1,R4 R0,R2,R5 8.3 I 2 in Figure 8.6 is delayed because it depends on the results of I 1.By occupying the Decode stage, instruction I 2 blocks I 3, which, in turn, blocks I 4. Assuming that I 3 and I 4 do not depend on either I 1 or I 2 and that the register file allows two Write steps to proceed in parallel, how would you use additional storage buffers to make it possible for I 3 and I 4 to proceed earlier than in Figure 8.6? Redraw the figure, showing the new order of steps. 8.4 The delay bubble in Figure 8.6 arises because instruction I 2 is delayed in the Decode stage. As a result, instructions I 3 and I 4 are delayed even if they do not depend on either I 1 or I 2. Assume that the Decode stage allows two Decode steps to proceed in parallel. Show that the delay bubble can be completely eliminated if the register file also allows two Write steps to proceed in parallel. 8.5 Figure 8.4 shows an instruction being delayed as a result of a cache miss. Redraw this figure for the hardware organization of Figure Assume that the instruction queue can hold up to four instructions and that the instruction fetch unit reads two instructions at a time from the cache. 8.6 A program loop ends with a conditional branch to the beginning of the loop. How would you implement this loop on a pipelined computer that uses delayed branching with one delay slot? Under what conditions would you be able to put a useful instruction in the delay slot? 8.7 The branch instruction of the UltraSPARC II processor has an Annul bit. When set by the compiler, the instruction in the delay slot is discarded if the branch is not taken. An alternative choice is to have the instruction discarded if the branch is taken. When is each of these choices advantageous? 8.8 A computer has one delay slot. The instruction in this slot is always executed, but only on a speculative basis. If a branch does not take place, the results of that instruction are discarded. Suggest a way to implement program loops efficiently on this computer. 8.9 Rewrite the sort routine shown in Figure 2.34 for the SPARC processor. Recall that the SPARC architecture has one delay slot with an associated Annul bit and uses branch prediction. Attempt to fill the delay slots with useful instructions wherever possible Consider a statement of the form IF A>B THEN action 1 ELSE action 2 Write a sequence of assembly language instructions, first using branch instructions only, then using conditional instructions such as those available on the ARM processor.

3 508 CHAPTER 8 PIPELINING Assume a simple two-stage pipeline, and draw a diagram similar to that in Figure 8.8 to compare execution times for the two approaches The feed-forward path in Figure 8.7 (blue lines) allows the content of the RSLT register to be used directly in an ALU operation. The result of that operation is stored back in the RSLT register, replacing its previous contents. What type of register is needed to make such an operation possible? Consider the two instructions I 1 : R1,R2,R3 I 2 : Shift left R3 Assume that before instruction I 1 is executed, R1, R2, R3, and RSLT contain the values 30, 100, 45, and 198, respectively. Draw a timing diagram for a 4-stage pipeline, showing the clock signal and the contents of the RSLT register during each cycle. Use your diagram to show that correct results will be obtained during the forwarding operation Write the program in Figure 2.37 for a processor in which only load and store instructions access memory. Identify all dependencies in the program and show how you would optimize it for execution on a pipelined processor Assume that 20 percent of the dynamic count of the instructions executed on a computer are branch instructions. Delayed branching is used, with one delay slot. Estimate the gain in performance if the compiler is able to use 85 percent of the delay slots A pipelined processor has two branch delay slots. An optimizing compiler can fill one of these slots 85 percent of the time and can fill the second slot only 20 percent of the time. What is the percentage improvement in performance achieved by this optimization, assuming that 20 percent of the instructions executed are branch instructions? 8.15 A pipelined processor uses the delayed branch technique. You are asked to recommend one of two possibilities for the design of this processor. In the first possibility, the processor has a 4-stage pipeline and one delay slot, and in the second possibility, it has a 6-stage pipeline with two delay slots. Compare the performance of these two alternatives, taking only the branch penalty into account. Assume that 20 percent of the instructions are branch instructions and that an optimizing compiler has an 80 percent success rate in filling the single delay slot. For the second alternative, the compiler is able to fill the second slot 25 percent of the time Consider a processor that uses the branch prediction mechanism represented in Figure 8.15b. The initial state is either LT or LNT, depending on information provided in the branch instruction. Discuss how the compiler should handle the branch instructions used to control do while and do until loops, and discuss the suitability of the branch prediction mechanism in each case Assume that the instruction queue in Figure 8.10 can hold up to six instructions. Redraw Figure 8.11 assuming that the queue is full in clock cycle 1 and that the fetch unit can read up to two instructions at a time from the cache. When will the queue become full again after instruction I k is fetched?

4 Chapter 8 Pipelining 8.1. ( ) The operation performed in each step and the operands involved are as given in the figure below. Clock cycle I 1 : 20, 2000 R I 2 : Mul 3, 50 Mul R3 150 I 3 : And \$3A, 50 And R4 50 I 4 : 2000, 50 R ( ) Clock cycle Buffer B1 Buffer B2 Buffer B3 instruction (I ) Information from a previous instruction Information from a previous instruction Mul instruction (I ) Decoded I Source operands: 20, 2000 Information from a previous instruction And instruction (I ) Decoded I Source operands: 3, 50 Result of I : 2020 Destination R1 instruction (I ) Decoded I Source operands: \$3A, 50 Result of I : 150 Destination R3 1

5 8.2. ( ) Clock cycle , 2000 R Mul 3, 50 Mul R3 150 And \$3A,? \$3A, 2020 And R , 50 R ( ) Cycles 2 to 4 are the same as in P8.1, but contents of R1 are not available until cycle 5. In cycle 5, B1 and B2 have the same contents as in cycle 4. B3 contains the result of the multiply instruction Step D may be abandoned, to be repeated in cycle 5, as shown below. But, instruction I must remain in buffer B1. For I to proceed, buffer B1 must be capable of holding two instructions. The decode step for I has to be delayed as shown, assuming that only one instruction can be decoded at a time. Clock cycle I 1 (Mul) F 1 D 1 E 1 W 1 I 2 () F 2 D 2 D 2 E 2 W 2 I 3 I 4 F 3 D 3 E 3 W 3 F 4 D 4 E 4 W 4 2

6 8.4. If all decode and execute stages can handle two instructions at a time, only instruction I is delayed, as shown below. In this case, all buffers must be capable of holding information for two instructions. Note that completing instruction I before I could cause problems. See Section Clock cycle I 1 (Mul) F 1 D 1 E 1 W 1 I 2 () F 2 D 2 E 2 W 2 I 3 F 3 D 3 E 3 W 3 I 4 F 4 D 4 E 4 W Execution proceeds as follows. Clock cycle I 1 F 1 D 1 E 1 W 1 I 2 F 2 D 2 E 2 W 2 I 3 F 3 D 3 E 3 W 3 I 4 F 4 D 4 E 4 W The instruction immediately preceding the branch should be placed after the branch. LOOP 1 LOOP 1 Conditional Branch LOOP Conditional Branch LOOP This reorganization is possible only if the branch instruction does not depend on instruction. 3

7 8.7. The UltraSPARC arrangement is advantageous when the branch instruction is at the end of the loop and it is possible to move one instruction from the body of the loop into the delay slot. The alternative arrangement is advantageous when the branch instruction is at the beginning of the loop The instruction executed on a speculative basis should be one that is likely to be the correct choice most often. Thus, the conditional branch should be placed at the end of the loop, with an instruction from the body of the loop moved to the delay slot if possible. Alternatively, a copy of the first instruction in the loop body can be placed in the delay slot and the branch address changed to that of the second instruction in the loop The first branch (BLE) has to be followed by a NOP instruction in the delay slot, because none of the instructions around it can be moved. The inner and outer loop controls can be adjusted as shown below. The first instruction in the outer loop is duplicated in the delay slot following BLE. It will be executed one more time than in the original program, changing the value left in R3. However, this should cause no difficulty provided the contents of R3 are not needed once the sort is completed. The modified program is as follows: ADD R0,LIST,R3 ADD R0,N,R1 SUB R1,1,R1 SUB R1,1,R2 OUTER LDUB [R3+R1],R5 Get LIST(j) LDUB [R3+R2],R6 Get LIST(k) INNER SUB R6,R5,R0 BLE,pt NEXT SUB R2,1,R2 k k 1 STUB R5,[R3+R2] STUB R6,[R3+R1] OR R0,R6,R5 NEXT BGE,pt,a INNER LDUB [R3+R2],R6 Get LIST(k) SUB R1,1,R1 BGT,pt OUTER SUB R1,1,R2 4

8 8.10. Without conditional instructions: Compare A,B Branch 0 Action1 Check A B Action One or more instructions Branch Next Action One or more instructions Next... If conditional instructions are available, we can use: Compare A,B Check A B Action1 instruction(s), conditional Action2 instruction(s), conditional Next... In the second case, all Action 1 and Action 2 instructions must be fetched and decoded to determine whether they are to be executed. Hence, this approach is beneficial only if each action consists of one or two instructions. Without conditional instructions Clock cycle Compare A,B F 1 E 1 Action2 Branch>0 Action1 F 2 E 2 F 3 E 3 Branch Next F 4 E 4 Action1 Next F 6 E 1 With conditional instructions Compare A,B F 1 E 1 If >0 then action1 F 2 E 2 NEXT If 0 then action2 F 3 E 3 F 4 E 4 5

10 LOOP Load RNEXT,4(RCURRENT) Load RTEMP2,(RNEWREC) Test RNEXT Load RTEMP1,(RNEXT) Branch=0 TAIL Compare RTEMP1,RTEMP2 Branch 0 INSERT Move RNEXT,RCURRENT Branch LOOP INSERT Store RNEXT,4(RNEWREC) TAIL Store RNEWREC,4(RCURRENT) Return Note that we have assumed that the Load instruction does not affect the condition code flags Because of branch instructions, 120 clock cycles are needed to execute 100 program instructions when delay slots are not used. Using the delay slots will eliminate 0.85 of the idle cycles. Thus, the improvement is given by: That is, instruction throughput will increase by 8.1% Number of cycles needed to execute 100 instructions: Without optimization 140 With optimization (!"#\$ #%\$ ) 127 Thus, throughput improvement is!'&(*)+,, or 10.2% Throughput improvement due to pipelining is, where is the number of pipeline stages. Number of cycles needed to execute one instruction: Throughput 4-stage: \$ -,! 4/ stage:!#.# \$ - / 6/ Thus, the 6-stage pipeline leads to higher performance. 7

11 8.16. For a do while loop, the termination condition is tested at the beginning of the loop. A conditional branch at that location will be taken when exiting the loop. Hence, it should be predicted not taken. That is, the state machine should be started in the state LNT, unless the loop is not likely to be executed at all. A do until loop is executed at least once, and the branch condition is tested at the end of the loop. Assuming that the loop is likely to be executed several times, the branch should be predicted taken. That is, the state machine should be started in state LT An instruction fetched in cycle 0 reaches the head of the queue and enters the decode stage in cycle Assume that the instruction preceding I is decoded and instruction I5 is fetched in cycle 1. This leads to instructions I to I5 being in the queue at the beginning of cycle 2. Execution would then proceed as shown below. Note that the queue is always full, because at most one instruction is dispatched and up to two instructions are fetched in any given cycle. Under these conditions, the queue length would drop below 6 only in the case of a cache miss. Clock cycle Time 10 Queue length I 1 I 2 D 1 E 1 E 1 E 1 W 1 D 2 E 2 W 2 I 3 D 3 E 3 W 3 I 4 D 4 E 4 W 4 I 5 (Branch) D 5 I 6 F 6 X I k F k D k E k W k I k+1 F k+1 D k+1 E k+1 8

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