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Princess Sumaya Univ. Computer Engineering Dept. Chapter 4:

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Presentation on theme: "Princess Sumaya Univ. Computer Engineering Dept. Chapter 4:"— Presentation transcript:

1 Princess Sumaya Univ. Computer Engineering Dept. Chapter 4:

2 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 1 / 50 MUXMUXMUXMUX PC 4 DataMemory Addr Data SignExtend 0 00MUXMUX1100MUXMUX111 Addr Data 1 11MUXMUX0011MUXMUX000 InstructionMemory Shift Left 2 0 00MUXMUX1100MUXMUX111 Adder Adder ALU RsRs RtRt Offset, Addr, Immediate RtRt RdRd Sel A Sel B Sel C Data A Data B Register File Data C CPU Operation Review

3 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 2 / 50 MUXMUXMUXMUX PC 4 DataMemory Addr Data SignExtend 0 00MUXMUX1100MUXMUX111 Addr Data 1 11MUXMUX0011MUXMUX000 InstructionMemory Shift Left 2 0 00MUXMUX1100MUXMUX111 Adder Adder ALU RsRs RtRt Offset, Addr, Immediate RtRt RdRd Sel A Sel B Sel C Data A Data B Register File Data C CPU Operation Review ADD R3, R1, R2

4 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 3 / 50 MUXMUXMUXMUX PC 4 DataMemory Addr Data SignExtend 0 00MUXMUX1100MUXMUX111 Addr Data 1 11MUXMUX0011MUXMUX000 InstructionMemory Shift Left 2 0 00MUXMUX1100MUXMUX111 Adder Adder ALU RsRs RtRt Offset, Addr, Immediate RtRt RdRd Sel A Sel B Sel C Data A Data B Register File Data C CPU Operation Review ADD R2, R1, +5

5 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 4 / 50 MUXMUXMUXMUX PC 4 DataMemory Addr Data SignExtend 0 00MUXMUX1100MUXMUX111 Addr Data 1 11MUXMUX0011MUXMUX000 InstructionMemory Shift Left 2 0 00MUXMUX1100MUXMUX111 Adder Adder ALU RsRs RtRt Offset, Addr, Immediate RtRt RdRd Sel A Sel B Sel C Data A Data B Register File Data C CPU Operation Review LD R2, M[R1 + 5]

6 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 5 / 50 MUXMUXMUXMUX PC 4 DataMemory Addr Data SignExtend 0 00MUXMUX1100MUXMUX111 Addr Data 1 11MUXMUX0011MUXMUX000 InstructionMemory Shift Left 2 0 00MUXMUX1100MUXMUX111 Adder Adder ALU RsRs RtRt Offset, Addr, Immediate RtRt RdRd Sel A Sel B Sel C Data A Data B Register File Data C CPU Operation Review ST M[R1 – 4], R2

7 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 6 / 50 MUXMUXMUXMUX PC 4 DataMemory Addr Data SignExtend 0 00MUXMUX1100MUXMUX111 Addr Data 1 11MUXMUX0011MUXMUX000 InstructionMemory Shift Left 2 0 00MUXMUX1100MUXMUX111 Adder Adder ALU RsRs RtRt Offset, Addr, Immediate RtRt RdRd Sel A Sel B Sel C Data A Data B Register File Data C CPU Operation Review JMP + 3

8 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 7 / 50 MUXMUXMUXMUX PC 4 DataMemory Addr Data SignExtend 0 00MUXMUX1100MUXMUX111 Addr Data 1 11MUXMUX0011MUXMUX000 InstructionMemory Shift Left 2 0 00MUXMUX1100MUXMUX111 Adder Adder ALU RsRs RtRt Offset, Addr, Immediate RtRt RdRd Sel A Sel B Sel C Data A Data B Register File Data C CPU Operation Review JE R1, R2, + 3

9 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 8 / 50 Pipelining  Non Pipelined Process Fetch Instr.Get Operands Execute Store Result Instr. 1 Ʈ Mem Ʈ Reg Ʈ ALU Ʈ Mem PCPC PCPC Instr. Mem. Register File Data Mem. ALU

10 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 9 / 50 Pipelining  Non Pipelined Process Fetch Instr.Get Operands Execute Store Result Instr. 2 Ʈ Mem Ʈ Reg Ʈ ALU Ʈ Mem PCPC PCPC Instr. Mem. Register File Data Mem. ALU

11 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 10 / 50 Pipelining  Non Pipelined Process ●Clock Period = ●CPI (Clocks per Instruction) = Ʈ Mem Ʈ Reg Ʈ ALU Ʈ Mem PCPC PCPC Instr. Mem. Register File Data Mem. ALU

12 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 11 / 50 Instr. 1 Pipelining  Pipelined Process Fetch Instr.Get Operands Execute Store Result Instr. 2 Ʈ Mem Ʈ Reg Ʈ ALU Ʈ Mem PCPC PCPC Instr. Mem. Register File Data Mem. ALU IRIR IRIR X X Y Y ResultResult ResultResult Instr. 3 Instr. 4 Instr. 5

13 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 12 / 50 Pipelining  Pipelined Process PCPC PCPC Instr. Mem. Register File Data Mem. ALU IRIR IRIR X X Y Y ResultResult ResultResult TimeStage 1Stage 2Stage 3Stage 4 1Fetch Instr. 1 2Fetch Instr. 2Get Operands 1 3Fetch Instr. 3Get Operands 2Execute 1 4Fetch Instr. 4Get Operands 3Execute 2Store Result 1 5Fetch Instr. 5Get Operands 4Execute 3Store Result 2 6Fetch Instr. 6Get Operands 5Execute 4Store Result 3

14 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 13 / 50 Pipelining  Pipelined Process ●Clock Period = ●CPI = Ʈ Mem Ʈ Reg Ʈ ALU Ʈ Mem PCPC PCPC Instr. Mem. Register File Data Mem. ALU IRIR IRIR X X Y Y ResultResult ResultResult

15 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 14 / 50 Pipelining Hazards  Structural Hazards Hardware can’t support instruction combination at a certain time. Example: PCPC PCPC Instr. Mem. Register File Data Mem. ALU IRIR IRIR X X Y Y ResultResult ResultResult

16 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 15 / 50 Pipelining Hazards  Data Hazards One instruction has to wait for another to complete. Example: PCPC PCPC Instr. Mem. Register File Data Mem. ALU IRIR IRIR X X Y Y ResultResult ResultResult

17 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 16 / 50 Pipelining Hazards  Data Hazards One instruction has to wait for another to complete. PCPC PCPC Instr. Mem. Register File Data Mem. ALU IRIR IRIR X X Y Y ResultResult ResultResult

18 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 17 / 50 Pipelining Hazards  Data Hazards One instruction has to wait for another to complete. Forwarding: PCPC PCPC Instr. Mem. Register File Data Mem. ALU IRIR IRIR X X Y Y ResultResult ResultResult ADDR3, R1, R2

19 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 18 / 50 Pipelining Hazards  Control Hazards Decision depends on the result of unfinished instruction. Example: PCPC PCPC Instr. Mem. Register File Data Mem. ALU IRIR IRIR X X Y Y ResultResult ResultResult TimeStage 1Stage 2Stage 3Stage 4 1Fetch Instr. 24 2Fetch Instr. 28Get Operands 24 3 ? Get Operands 28Execute 24 4 ? Execute 28Store Result 24

20 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 19 / 50 Pipelining Hazards  Control Hazards Decision depends on the result of unfinished instruction. ●Stall ●Predict ●Delayed Branch PCPC PCPC Instr. Mem. Register File Data Mem. ALU IRIR IRIR X X Y Y ResultResult ResultResult

21 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 20 / 50 Multiple Issue  Multiple Instructions Execution (in single clock) ●CPI 1. ●Static / Dynamic ●Speculation Example:

22 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 21 / 50 Static Multiple Issue  Compiler Assisted  Issue Packet ●Set of instructions issued in a given clock cycle. ●Simply, one large instruction with multiple operations.  Very Long Instruction Word (VLIW)

23 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 22 / 50 Single-Issue Datapath PCPC PCPC Instr. Mem. Data Mem. A L U IFIF IFIF 012012 012012 0101 0101 Sign Extend + + 4 Sel A Sel B Sel C Data A Data B Data C IDID IDID + + Shift Left 2 EXEX EXEX Exception Address ADDR Data STST STST Register File 0101 0101

24 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 23 / 50 Two-Issue Datapath PCPC PCPC Instr. Mem. Data Mem. A L U IFIF IFIF 012012 012012 0101 0101 Sign Extend + + 4 Sel A1 Sel B1 Sel C1 Data A1 Data B1 Data C1 IDID IDID + + EXEX EXEX Exception Address ADDR Data STST STST Sel A2 Sel B2 Data A2 Data B2 Sel C2 Data C2 Sign Extend 0101 0101 + +

25 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 24 / 50 Two-Issue Datapath Example  Two 32-bit instructions ALU/JMP LD/ST  NOP Replacement Example: ALU/JMPLD/ST Loop:LD R1, M[R2] ADI R2, R2, – 4 ADD R1, R1, R3 JNE R2, 0, LoopST M[R2+4], R1

26 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 25 / 50 Single-Issue Datapath Example Loop:LD R1, M[R2] ADD R1, R1, R3 ST M[R2], R1 ADI R2, R2, – 4 JNE R2, 0, Loop ClockFetchDecodeExecuteMemoryStore 1LD R1, M[R2] 2 3 4 5ADD R1, R1, R3 PCPC PCPC Instr. Mem. Data Mem. A L U IFIF IFIF 012012 012012 0101 0101 Sign Extend + + 4 Sel A Sel B Sel C Data A Data B Data C IDID IDID + + EXEX EXEX Exception Address ADDR Data STST STST 0101 0101 Register File

27 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 26 / 50 Single-Issue Datapath Example Loop:LD R1, M[R2] ADD R1, R1, R3 ST M[R2], R1 ADI R2, R2, – 4 JNE R2, 0, Loop ClockFetchDecodeExecuteMemoryStore 1LD 2R2 3R2 + 0 4M[R2] 5ADDR1 6 7 8 9ST 10ADI 11 12 13 14JNE 15 16 Original Code:

28 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 27 / 50 Single-Issue Datapath Example ClockFetchDecodeExecuteMemoryStore 1LD 2ADIR2 3R2 + 0 4M[R2] 5ADDR1 6 7 8 9ST 10JNE 11 12 Loop:LD R1, M[R2] ADI R2, R2, – 4 ADD R1, R1, R3 ST M[R2+4], R1 JNE R2, 0, Loop Optimized Code:

29 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 28 / 50 Two-Issue Datapath Example ALU/JMPLD/ST Loop:LD R1, M[R2] ADI R2, R2, – 4 ADD R1, R1, R3 JNE R2, 0, LoopST M[R2+4], R1

30 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 29 / 50 Two-Issue Datapath Example ALU/JMPLD/ST Loop:LD R1, M[R2] ADI R2, R2, – 4 ADD R1, R1, R3 JNE R2, 0, LoopST M[R2+4], R1 ClockFetchDecodeExecuteMemoryStore 1LD 2ADI 3 4 5ADD 6 7 8 9JNEST 10 11 12

31 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 30 / 50 Dynamic Multiple Issue  Compiler Assisted (to move dependencies apart)  Hardware Decided ●0, 1 or more instructions issued in a given clock cycle.  Superscalar Processors. ●Compiled code runs correctly independent of the issue rate or pipeline structure.

32 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 31 / 50 Dynamic Pipeline Scheduling  Extension to Dynamic Multiple Issue  Hardware Decided ●Choose which instruction to execute in a given clock cycle. ●Compiled code runs correctly independent of the issue rate or pipeline structure Example:

33 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 32 / 50 Dynamic Pipeline Scheduling  Instruction Fetch, Decode & Issue Unit  Multiple Functional Units  Commit Unit Instruction Fetch & Decode Integer Functional Unit Floating Point Functional Unit Commit Unit Floating Point Functional Unit Integer Functional Unit Reservation Station

34 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 33 / 50 Dynamic Pipeline Scheduling  Out-of-Order (O-o-O) Execution An operand may be in a register, reorder buffer or yet to be produced by a functional unit.  In-Order Issue  In-Order Commit

35 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 34 / 50 Speculative Execution  Hardware-Based ●Branch Predictions ●Load Addresses  In-Order Commit ●Assures correctness in case of wrong prediction

36 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 35 / 50 Out-of-Order Scheduling Scoreboard  Scoreboarding (CDC 6600) Pipeline: ●IF ●IS ●RD ●EX ●WB Floating Point Multiply Register File Floating Point Multiply Floating Point Divide Floating Point Add Integer Unit Scoreboard

37 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 36 / 50 Out-of-Order Scheduling Scoreboard  Scoreboarding (CDC 6600) Pipeline: ●IF ●IS ●RD ●EX ●WB Instruction Issue:  If the functional unit is available.  If no other active instruction has the same destination register. 

38 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 37 / 50 Out-of-Order Scheduling Scoreboard  Scoreboarding (CDC 6600) Pipeline: ●IF ●IS ●RD ●EX ●WB Read Operands:  No previously issued instruction has my operand as its destination. 

39 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 38 / 50 Out-of-Order Scheduling Scoreboard  Scoreboarding (CDC 6600) Pipeline: ●IF ●IS ●RD ●EX ●WB Write Back Results:  Stalls instructions which write results to registers pending reads.  Example:

40 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 39 / 50 Out-of-Order Scheduling Example Example: Instruction Status Instruction Issue Rd Opr Exec Wr Res Functional Unit Status Unit Busy Op FiFi FjFj FkFk QjQj QkQk RjRj RkRk

41 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 40 / 50 Out-of-Order Scheduling Example Example: Instruction Status Instruction Issue Rd Opr Exec Wr Res ADDF3, F1, 4 SUBF4, F2, 5 MULF5, F1, F2 DIVF6, F1, F3 MULF1, F5, F2 Register Result Status F1F1 F2F2 F3F3 F4F4 F5F5 F6F6 F.U. IFISRDEXWB Functional Unit Status Unit Busy Op FiFi FjFj FkFk QjQj QkQk RjRj RkRk F.P Mul1 F.P Mul2 F.P. Div F.P. Add Integer

42 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 41 / 50 Out-of-Order Scheduling Example Example: Instruction Status Instruction Issue Rd Opr Exec Wr Res ADDF3, F1, 4 SUBF4, F2, 5 MULF5, F1, F2 DIVF6, F1, F3 MULF1, F5, F2 Register Result Status F1F1 F2F2 F3F3 F4F4 F5F5 F6F6 F.U.Add IFISRDEXWB Functional Unit Status Unit Busy Op FiFi FjFj FkFk QjQj QkQk RjRj RkRk F.P Mul1 F.P Mul2 F.P. Div F.P. Add+F3F14 Integer

43 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 42 / 50 Out-of-Order Scheduling Example Example: Instruction Status Instruction Issue Rd Opr Exec Wr Res ADDF3, F1, 4 SUBF4, F2, 5 MULF5, F1, F2 DIVF6, F1, F3 MULF1, F5, F2 Functional Unit Status Unit Busy Op FiFi FjFj FkFk QjQj QkQk RjRj RkRk F.P Mul1×F5F1F2 F.P Mul2 F.P. Div F.P. Add+F3F14 Integer Register Result Status F1F1 F2F2 F3F3 F4F4 F5F5 F6F6 F.U.AddAdd Mul 1 IFISRDEXWB

44 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 43 / 50 Out-of-Order Scheduling Example Example: Instruction Status Instruction Issue Rd Opr Exec Wr Res ADDF3, F1, 4 SUBF4, F2, 5 MULF5, F1, F2 DIVF6, F1, F3 MULF1, F5, F2 Functional Unit Status Unit Busy Op FiFi FjFj FkFk QjQj QkQk RjRj RkRk F.P Mul1×F5F1F2 F.P Mul2 F.P. Div÷F6F1F3Add F.P. Add Integer Register Result Status F1F1 F2F2 F3F3 F4F4 F5F5 F6F6 F.U.AddAdd Mul 1 Div IFISRDEXWB

45 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 44 / 50 Out-of-Order Scheduling Example Example: Instruction Status Instruction Issue Rd Opr Exec Wr Res ADDF3, F1, 4 SUBF4, F2, 5 MULF5, F1, F2 DIVF6, F1, F3 MULF1, F5, F2 Functional Unit Status Unit Busy Op FiFi FjFj FkFk QjQj QkQk RjRj RkRk F.P Mul1 F.P Mul2 F.P. Div÷F6F1F3Add F.P. Add–F4F25 Integer Register Result Status F1F1 F2F2 F3F3 F4F4 F5F5 F6F6 F.U.Add Mul 1 Div IFISRDEXWB

46 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 45 / 50 Out-of-Order Scheduling Example Example: Instruction Status Instruction Issue Rd Opr Exec Wr Res ADDF3, F1, 4 SUBF4, F2, 5 MULF5, F1, F2 DIVF6, F1, F3 MULF1, F5, F2 Functional Unit Status Unit Busy Op FiFi FjFj FkFk QjQj QkQk RjRj RkRk F.P Mul1×F1F5F2Mul F.P Mul2 F.P. Div÷F6F1F3Add F.P. Add–F4F25 Integer Register Result Status F1F1 F2F2 F3F3 F4F4 F5F5 F6F6 F.U. Mul 1 AddDiv IFISRDEXWB

47 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 46 / 50 Out-of-Order Scheduling Example Example: Instruction Status Instruction Issue Rd Opr Exec Wr Res ADDF3, F1, 4 SUBF4, F2, 5 MULF5, F1, F2 DIVF6, F1, F3 MULF1, F5, F2 Functional Unit Status Unit Busy Op FiFi FjFj FkFk QjQj QkQk RjRj RkRk F.P Mul1×F1F5F2Mul F.P Mul2 F.P. Div F.P. Add Integer Register Result Status F1F1 F2F2 F3F3 F4F4 F5F5 F6F6 F.U. Mul 1 AddDiv IFISRDEXWB

48 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 47 / 50 Out-of-Order Scheduling Example Example: Instruction Status Instruction Issue Rd Opr Exec Wr Res ADDF3, F1, 4 SUBF4, F2, 5 MULF5, F1, F2 DIVF6, F1, F3 MULF1, F5, F2 Functional Unit Status Unit Busy Op FiFi FjFj FkFk QjQj QkQk RjRj RkRk F.P Mul1×F1F5F2Mul F.P Mul2 F.P. Div F.P. Add Integer Register Result Status F1F1 F2F2 F3F3 F4F4 F5F5 F6F6 F.U. Mul 1 IFISRDEXWB

49 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 48 / 50 Out-of-Order Scheduling Example Example: Instruction Status Instruction Issue Rd Opr Exec Wr Res ADDF3, F1, 4 SUBF4, F2, 5 MULF5, F1, F2 DIVF6, F1, F3 MULF1, F5, F2 Functional Unit Status Unit Busy Op FiFi FjFj FkFk QjQj QkQk RjRj RkRk F.P Mul1×F1F5F2Mul F.P Mul2 F.P. Div F.P. Add Integer Register Result Status F1F1 F2F2 F3F3 F4F4 F5F5 F6F6 F.U. Mul 1 IFISRDEXWB

50 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 49 / 50 Out-of-Order Scheduling Example Example: Instruction Status Instruction Issue Rd Opr Exec Wr Res ADDF3, F1, 4 SUBF4, F2, 5 MULF5, F1, F2 DIVF6, F1, F3 MULF1, F5, F2 Functional Unit Status Unit Busy Op FiFi FjFj FkFk QjQj QkQk RjRj RkRk F.P Mul1 F.P Mul2 F.P. Div F.P. Add Integer Register Result Status F1F1 F2F2 F3F3 F4F4 F5F5 F6F6 F.U. Mul 1 IFISRDEXWB

51 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. 50 / 50 Register Renaming  Tomasulo’s Algorithm (IBM 360/91) ●Architectural Registers ●Physical (Hardware) Registers ●Dynamic Remap Example:

52 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept. Chapter 4

53 Princess Sumaya University 22540 – Computer Arch. & Org (2) Computer Engineering Dept.  Exercise 4.12  Exercise 4.13  Exercise 4.14  Exercise 4.16  Exercise 4.17  Exercise 4.20  Exercise 4.21  Exercise 4.22  Exercise 4.23  Exercise 4.25  Exercise 4.28  Exercise 4.29  Exercise 4.30  Exercise 4.31  Exercise 4.32  Exercise 4.33  Exercise 4.35  Exercise 4.39


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