Introduction: Review: Single Cycle and Multi-cycle Datapath How do we evaluate computer architectures? Think of 5 characteristics that differentiate computers — — — — — — — — Performance Memory size Instruction set price Reliability Peripherals Power consumption /heat dissipation price July 13, 2017 Multicycle datapath 1 Single-Cycle Performance In CMPE 325 we saw a MIPS single-cycle datapath and control unit. In CMPE 421, we’ll explore factors that contribute to a processor’s execution time, and specifically at the performance of the single-cycle machine. AND we’ll explore how to improve on the single cycle machine’s performance using pipelining. July 13, 2017 2 Three Components of CPU Performance July 13, 2017 Performance 3 Instructions Executed Instructions executed: — not interested in the static instruction count, or how many lines of code are in a program. — Instead, the dynamic instruction count, or how many instructions are actually executed when the program runs. There are three lines of code below, but the number of instructions executed would be 2001. BACK: li sub bne $a0, 1000 $a0, $a0, 1 $a0, $0, BACK CPU timeX,P = Instructions executedP * CPIX,P * Clock cycle timeX Cycles Per Instruction July 13, 2017 Performance 4 CPI The average number of clock cycles per instruction, or CPI, is a function of the machine and program. — The CPI depends on the actual instructions appearing in the program—a floating-point intensive application might have a higher CPI than an integer-based program. — It also depends on the CPU implementation. For example, a Pentium can execute the same instructions as an older 80486, but faster. Remember In CMPE325, we assumed each instruction took one cycle, so we had CPI = 1. — The CPI can be >1 due to memory stalls and slow instructions. — The CPI can be <1 on machines that execute more than 1 instruction per cycle (superscalar, Duo Core, Quad core). July 13, 2017 Performance 5 Clock cycle time One “cycle” is the minimum time it takes the CPU to do any work. — The clock cycle time or clock period is just the length of a cycle. — The clock rate, or frequency, is the reciprocal of the cycle time. Generally, a higher frequency is better. Some examples illustrate some typical frequencies. — A 500MHz processor has a cycle time of 2ns. — A 2GHz (2000MHz) CPU has a cycle time of just 0.5ns (500ps). July 13, 2017 Performance 6 Execution time, again CPU timeX,P = Instructions executedP * CPIX,P * Clock cycle timeX The easiest way to remember this is match up the units: Seconds Program = Instructions * Program Clock cycles Instructions * Seconds Clock cycle Make things faster by making any component smaller!! Program Compiler ISA Organization Technology Instruction Executed CPI Clock Cycle TIme Often easy to reduce one component by increasing another July 13, 2017 Performance 7 Example 1: ISA-compatible processors Let’s compare the performances two x86-based processors. — An 800MHz AMD Duron, with a CPI of 1.2 for an MP3 compressor. — A 1GHz Pentium III with a CPI of 1.5 for the same program. Compatible processors implement identical instruction sets and will use the same executable files, with the same number of instructions. But they implement the ISA differently, which leads to different CPIs. CPU timeAMD,P = InstructionsP * CPIAMD,P * Cycle timeAMD = = N x1.2x1/800=3/2000 CPU timeP3,P July 13, 2017 = InstructionsP * CPIP3,P * Cycle timeP3 = = Nx1/5x1/1000=3/2000 Performance 8 The single-cycle design from last time 0 M u x Add PC 4 Add 1 Shift left 2 A control unit (not shown) generates all the control signals from the instruction’s “op” and “func” fields. PCSrc RegWrite Read Instruction address [31-0] MemWrite I [25 - 21] Read register 1 I [20 - 16] Instruction memory 0 I [15 - 11] M u x 1 Read register 2 Write register Write data Read data 1 Zero Read data 2 Registers July 13, 2017 0 Result M u x 1 ALUSrc RegDst I [15 - 0] ALU ALUOp Read address Read data 1 Data memory 0 Write address Write data MemToReg M u x MemRead Sign extend Multicycle datapath 10 The example add from last time Consider the instruction add $s4, $t1, $t2. 000000 01001 01010 10100 00000 100000 op rs rt rd shamt func Assume $t1 and $t2 initially contain 1 and 2 respectively. Executing this instruction involves several steps. 1. The instruction word is read from the instruction memory, and the program counter is incremented by 4. 2. The sources $t1 and $t2 are read from the register file. 3. The values 1 and 2 are added by the ALU. 4. The result (3) is stored back into $s4 in the register file. July 13, 2017 Multicycle datapath 11 Instruction execution review March 5, 2003 Multicycle datapath 13 Example: Instruction Fetch (IF) Let’s quickly review how lw is executed in the single-cycle datapath. We’ll ignore PC incrementing and branching for now. In the Instruction Fetch (IF) step, we read the instruction memory. RegWrite Read Instruction address [31-0] MemWrite I [25 - 21] Read register 1 I [20 - 16] Instruction memory 0 I [15 - 11] M u x 1 Read register 2 Write register Write data Read data 1 Zero Read data 2 July 13, 2017 0 Result M u x Registers 1 ALUSrc RegDst I [15 - 0] ALU ALUOp Read address Read data 1 Data memory 0 Write address Write data MemToReg M u x MemRead Sign extend Pipelining 14 Instruction Decode (ID) The Instruction Decode (ID) step reads the source register from the register file. RegWrite Read Instruction address [31-0] MemWrite I [25 - 21] Read register 1 I [20 - 16] Instruction memory 0 I [15 - 11] M u x 1 Read register 2 Write register Write data Read data 1 Zero Read data 2 July 13, 2017 0 Result M u x Registers 1 ALUSrc RegDst I [15 - 0] ALU ALUOp Read address Read data 1 Data memory 0 Write address Write data MemToReg M u x MemRead Sign extend Pipelining 15 Execute (EX) The third step, Execute (EX), computes the effective memory address from the source register and the instruction’s constant field. RegWrite Read Instruction address [31-0] MemWrite I [25 - 21] Read register 1 I [20 - 16] Instruction memory 0 I [15 - 11] M u x 1 Read register 2 Write register Write data Read data 1 Zero Read data 2 July 13, 2017 0 Result M u x Registers 1 ALUSrc RegDst I [15 - 0] ALU ALUOp Read address Read data 1 Data memory 0 Write address Write data MemToReg M u x MemRead Sign extend Pipelining 16 Memory (MEM) The Memory (MEM) step involves reading the data memory, from the address computed by the ALU. RegWrite Read Instruction address [31-0] MemWrite I [25 - 21] Read register 1 I [20 - 16] Instruction memory 0 I [15 - 11] M u x 1 Read register 2 Write register Write data Read data 1 Zero Read data 2 July 13, 2017 0 Result M u x Registers 1 ALUSrc RegDst I [15 - 0] ALU ALUOp Read address Read data 1 Data memory 0 Write address Write data MemToReg M u x MemRead Sign extend Pipelining 17 Writeback (WB) Finally, in the Writeback (WB) step, the memory value is stored into the destination register. RegWrite Read Instruction address [31-0] MemWrite I [25 - 21] Read register 1 I [20 - 16] Instruction memory 0 I [15 - 11] M u x 1 Read register 2 Write register Write data Read data 1 Zero Read data 2 July 13, 2017 0 Result M u x Registers 1 ALUSrc RegDst I [15 - 0] ALU ALUOp Read address Read data 1 Data memory 0 Write address Write data MemToReg M u x MemRead Sign extend Pipelining 18 How the add goes through the datapath PC+4 0 M u x Add PC 4 Add 1 Shift left 2 PCSrc=0 RegWrite=1 Read Instruction address [31-0] I [25 - 21] 01001 I [20 - 16] 01010 Instruction memory 0 I [15 - 11] 10100 M u x 1 RegDst =1 I [15 - 0] July 13, 2017 MemWrite Read register 1 Read register 2 Write register Write data Read data 1 Read data 2 Registers MemToReg=0 00...01 ALU 00...10 Zero 0 Result M u x 1 ALUSrc=0 Sign extend Multicycle datapath ALUOp =ADD Read address Read data 1 Data memory 0 Write address Write data M u x MemRead 00...11 19 Performance of Single-cycle Design CPU timeX,P = Instructions executedP * CPIX,P * Clock cycle timeX July 13, 2017 Performance 20 Edge-triggered state elements In an instruction like add $t1, $t1, $t2, how do we know $t1 is not updated until after its original value is read? We’ll assume that our state elements are positive edge triggered, and are updated only on the positive edge of a clock signal. — The register file and data memory have explicit write control signals, RegWrite and MemWrite. These units can be written to only if the control signal is asserted and there is a positive clock edge. — In a single-cycle machine the PC is updated on each clock cycle, so we don’t bother to give it an explicit write control signal. RegWrite Read register 1 Read data 1 Read register 2 Read data 2 Write register Registers Write data MemWrite Read address Read data Write address Write data Data memory MemRead PC July 13, 2017 Multicycle datapath 21 The datapath and the clock 1. On a positive clock edge, the PC is updated with a new address. 2. A new instruction can then be loaded from memory. The control unit sets the datapath signals appropriately so that — registers are read, — ALU output is generated, — data memory is read or written, and — branch target addresses are computed. 3. Several things happen on the next positive clock edge. — The register file is updated for arithmetic or lw instructions. — Data memory is written for a sw instruction. — The PC is updated to point to the next instruction. In a single-cycle datapath everything in Step 2 must complete within one clock cycle, before the next positive clock edge. How long is that clock cycle? July 13, 2017 Multicycle datapath 22 Compute the longest path in the add instruction PC+4 0 M u x Add PC 4 Add 2 ns 2 ns RegWrite Read Instruction address [31-0] Read register 1 I [20 - 16] 2 ns 0 I [15 - 11] M u x 1 RegDst I [15 - 0] July 13, 2017 PCSrc 0 ns MemWrite I [25 - 21] Instruction memory 1 Shift left 2 0 ns Read data 1 Zero Read register 2 Read data 2 Write register Write data ALU Registers 0 Result M u x 1 ALUOp 2 ns 1 ns ALUSrc Sign extend 0 ns Multicycle datapath Read address Read data 1 Data memory 0 Write address Write data MemToReg M u x 0 ns MemRead 2 ns 23 The slowest instruction... If all instructions must complete within one clock cycle, then the cycle time has to be large enough to accommodate the slowest instruction. For example, lw $t0, –4($sp) is the slowest instruction needing __ns. — Assuming the circuit latencies below. Read Instruction address [31-0] I [25 - 21] Read register 1 I [20 - 16] Instruction memory 2 ns 0 I [15 - 11] M u x 1 0 ns I [15 - 0] Read data 1 Zero Read register 2 Read data 2 Write register Write data ALU 0 M u x Registers 1 0 ns 1 ns Result 2 ns Read address Read data 1 Data memory 0 Write address Write data M u x 0 ns 2 ns Sign extend 0 ns July 13, 2017 Multicycle datapath 24 The slowest instruction... If all instructions must complete within one clock cycle, then the cycle time has to be large enough to accommodate the slowest instruction. For example, lw $t0, –4($sp) needs 8ns, assuming the delays shown here. reading the instruction memory 2n s reading the base register $sp 8ns 1n Read Instruction address [31-0] s I [25computing - 21] memory address $sp-4 Read Read register 1 I [20 - 16] Instruction memory 2 ns data 1 ALU s Read 0 data 2 Writedata memory M reading the I [15 - 11] Read register 2 u x register Write data Registers s 1 0 ns 1 ns storing data back to $t0 I [15 - 0] Sign Zero 0 M u x 1 July 13, 2017 Result 2 ns2n 0 ns Multicycle datapath Read address Read data 1 Data memory 0 Write address Write data M u x 0 ns 2 ns 0 ns extend s 2n 1n 25 ...determines the clock cycle time If we make the cycle time 8ns then every instruction will take 8ns, even if they don’t need that much time. For example, the instruction add $s4, $t1, $t2 really needs just 6ns. reading the instruction memory reading registers $t1 and $t2 computing $t1 + $t2 storing the result into $s0 Read Instruction address [31-0] I [25 - 21] Read register 1 I [20 - 16] Instruction memory 2 ns 0 I [15 - 11] M u x 1 0 ns I [15 - 0] Read data 1 6 ns ALU Zero Read register 2 Read data 2 Write register Write data 2 ns 1 ns 2 ns 1 ns 0 M u x Registers 1 0 ns 1 ns Result 2 ns Read address Read data 1 Data memory 0 Write address Write data M u x 0 ns 2 ns Sign extend 0 ns July 13, 2017 Multicycle datapath 26 How bad is this? With these same component delays, a sw instruction would need 7ns, and beq would need just 5ns. Let’s consider the gcc instruction mix from the textbook. Instruction Frequency Arithmetic Loads Stores Branches 48% 22% 11% 19% With a single-cycle datapath, each instruction would require 8ns. But if we could execute instructions as fast as possible, the average time per instruction for gcc would be: (48% x 6ns) + (22% x 8ns) + (11% x 7ns) + (19% x 5ns) = 6.36ns The single-cycle datapath is about 1.26 times slower! July 13, 2017 Multicycle datapath 27 Review of a Multiple Cycle Implementation The root of the single cycle processor’s problems: — The cycle time has to be long enough for the slowest instruction Solution: — Break the instruction into smaller steps — Execute each step (instead of the entire instruction) in one cycle • Cycle time: time it takes to execute the longest step • Keep all the steps to have similar length — This is the essence of the multiple cycle processor The advantages of the multiple cycle processor: — Cycle time is much shorter — Different instructions take different number of cycles to complete • Load takes five cycles • Jump only takes three cycles — Allows a functional unit to be used more than once per instruction • Adder + ALU • Instruction Memory + Data Memory Summary Performance is one of the most important criteria in judging systems. — Here we’ll focus on Execution time. Our main performance equation explains how performance depends on several factors related to both hardware and software. CPU timeX,P = Instructions executedP * CPIX,P * Clock cycle timeX It can be hard to measure these factors in real life, but this is a useful guide for comparing systems and designs. A single-cycle CPU has two main disadvantages. — The cycle time is limited by the worst case latency. — It isn’t efficiently using its hardware. Next time, we’ll see how this can be rectified with pipelining. July 13, 2017 Multicycle datapath 29
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