Cycles per element (CPE): The CPE denotes performance of program that helps in improving code. It helps to understand detailed level loop performance for an iterative program. It is suitable for programs that use a repetitive calculation. The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

Question

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Answer 1

Question

Chapter 5, Problem 5.13HW

A.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

A.

Expert Solution

Explanation of Solution

Diagram for instruction sequence:

EBK COMPUTER SYSTEMS, Chapter 5, Problem 5.13HW , additional homework tip 1

EBK COMPUTER SYSTEMS, Chapter 5, Problem 5.13HW , additional homework tip 2

Explanation:

The data dependencies between instructions are been depicted in diagram.
The given instruction sequence is been decoded into operations.
It creates a critical path of operations.
The data flow between instructions is been shown in diagram.

B.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

B.

Expert Solution

Explanation of Solution

Lower bound on CPE:

The lower bound on CPE is been determined by critical path.
For data type “double”, it denotes the float add cell.
The lower bound on CPE is 3.0 based on the architecture.

C.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

C.

Expert Solution

Explanation of Solution

Lower bound on CPE:

The lower bound on CPE is been determined by critical path.
For data type “integer”, it denotes the long add cell.
The lower bound on CPE is 1.0 based on the architecture.

D.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

D.

Expert Solution

Explanation of Solution

Given C Code:

// Define method inner4

void inner4(vec_ptr u, vec_ptr v, data_t *dest)

{

// Declare variable

long i;

//Compute length of vector

long length = vec_length(u);

//Get first vector

data_t *udata = get_vec_start(u);

//Get second vector

data_t *vdata = get_vec_start(v);

//Initialize variable

data_t sum = (data_t) 0;

//Loop

for (i = 0; i < length; i++)

{

//Compute product and add

sum = sum + udata[i] * vdata[i];

}

//Store result

*dest = sum;

}

CPE value for floating-point versions:

The inner product computed is been accumulated in temporary.
The float add operation is only on key path.
The multiplication operation takes 5 clock cycles.
The overall operation takes 3 cycles to complete on average.
Hence, CPE value for floating-point versions is 3.0.

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(1 point) By dragging statements from the left column to the right column below, give a proof by induction of the following statement: an = = 9" - 1 is a solution to the recurrence relation an = 9an-18 with ao = : 0. The correct proof will use 8 of the statements below. Statements to choose from: Note that a₁ = 9a0 + 8. Now assume that P(n) is true for all n ≥ 0. Your Proof: Put chosen statements in order in this column and press the Submit Answers button. Let P(n) be the predicate, "a = 9″ – 1". απ = 90 − 1 = Note that Let P(n) be the predicate, "an 9" - 1 is a solution to the recurrence relation an = 9an-1 +8 with ao = 0." - Now assume that P(k + 1) is true. Thus P(k) is true for all k. Thus P(k+1) is true. Then ak+1 = 9ak +8, so P(k + 1) is true. = 1 − 1 = 0, as required. Then = 9k — 1. ak Now assume that P(k) is true for an arbitrary integer k ≥ 1. By the recurrence relation, we have ak+1 = ak+1 = = 9ak + 8 = 9(9k − 1) + 8 This simplifies to 9k+19+8 = 9k+1 − 1 Then 9k+1 − 1 = 9(9*…

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Answer 2

Question

Chapter 5, Problem 5.13HW

A.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

A.

Expert Solution

Explanation of Solution

Diagram for instruction sequence:

EBK COMPUTER SYSTEMS, Chapter 5, Problem 5.13HW , additional homework tip 1

EBK COMPUTER SYSTEMS, Chapter 5, Problem 5.13HW , additional homework tip 2

Explanation:

The data dependencies between instructions are been depicted in diagram.
The given instruction sequence is been decoded into operations.
It creates a critical path of operations.
The data flow between instructions is been shown in diagram.

B.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

B.

Expert Solution

Explanation of Solution

Lower bound on CPE:

The lower bound on CPE is been determined by critical path.
For data type “double”, it denotes the float add cell.
The lower bound on CPE is 3.0 based on the architecture.

C.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

C.

Expert Solution

Explanation of Solution

Lower bound on CPE:

The lower bound on CPE is been determined by critical path.
For data type “integer”, it denotes the long add cell.
The lower bound on CPE is 1.0 based on the architecture.

D.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

D.

Expert Solution

Explanation of Solution

Given C Code:

// Define method inner4

void inner4(vec_ptr u, vec_ptr v, data_t *dest)

{

// Declare variable

long i;

//Compute length of vector

long length = vec_length(u);

//Get first vector

data_t *udata = get_vec_start(u);

//Get second vector

data_t *vdata = get_vec_start(v);

//Initialize variable

data_t sum = (data_t) 0;

//Loop

for (i = 0; i < length; i++)

{

//Compute product and add

sum = sum + udata[i] * vdata[i];

}

//Store result

*dest = sum;

}

CPE value for floating-point versions:

The inner product computed is been accumulated in temporary.
The float add operation is only on key path.
The multiplication operation takes 5 clock cycles.
The overall operation takes 3 cycles to complete on average.
Hence, CPE value for floating-point versions is 3.0.

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Answer 3

Question

Chapter 5, Problem 5.13HW

A.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

A.

Expert Solution

Explanation of Solution

Diagram for instruction sequence:

EBK COMPUTER SYSTEMS, Chapter 5, Problem 5.13HW , additional homework tip 1

EBK COMPUTER SYSTEMS, Chapter 5, Problem 5.13HW , additional homework tip 2

Explanation:

The data dependencies between instructions are been depicted in diagram.
The given instruction sequence is been decoded into operations.
It creates a critical path of operations.
The data flow between instructions is been shown in diagram.

B.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

B.

Expert Solution

Explanation of Solution

Lower bound on CPE:

The lower bound on CPE is been determined by critical path.
For data type “double”, it denotes the float add cell.
The lower bound on CPE is 3.0 based on the architecture.

C.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

C.

Expert Solution

Explanation of Solution

Lower bound on CPE:

The lower bound on CPE is been determined by critical path.
For data type “integer”, it denotes the long add cell.
The lower bound on CPE is 1.0 based on the architecture.

D.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

D.

Expert Solution

Explanation of Solution

Given C Code:

// Define method inner4

void inner4(vec_ptr u, vec_ptr v, data_t *dest)

{

// Declare variable

long i;

//Compute length of vector

long length = vec_length(u);

//Get first vector

data_t *udata = get_vec_start(u);

//Get second vector

data_t *vdata = get_vec_start(v);

//Initialize variable

data_t sum = (data_t) 0;

//Loop

for (i = 0; i < length; i++)

{

//Compute product and add

sum = sum + udata[i] * vdata[i];

}

//Store result

*dest = sum;

}

CPE value for floating-point versions:

The inner product computed is been accumulated in temporary.
The float add operation is only on key path.
The multiplication operation takes 5 clock cycles.
The overall operation takes 3 cycles to complete on average.
Hence, CPE value for floating-point versions is 3.0.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 5, Problem 5.13HW

A.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

A.

Expert Solution

Explanation of Solution

Diagram for instruction sequence:

EBK COMPUTER SYSTEMS, Chapter 5, Problem 5.13HW , additional homework tip 1

EBK COMPUTER SYSTEMS, Chapter 5, Problem 5.13HW , additional homework tip 2

Explanation:

The data dependencies between instructions are been depicted in diagram.
The given instruction sequence is been decoded into operations.
It creates a critical path of operations.
The data flow between instructions is been shown in diagram.

B.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

B.

Expert Solution

Explanation of Solution

Lower bound on CPE:

The lower bound on CPE is been determined by critical path.
For data type “double”, it denotes the float add cell.
The lower bound on CPE is 3.0 based on the architecture.

C.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

C.

Expert Solution

Explanation of Solution

Lower bound on CPE:

The lower bound on CPE is been determined by critical path.
For data type “integer”, it denotes the long add cell.
The lower bound on CPE is 1.0 based on the architecture.

D.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

D.

Expert Solution

Explanation of Solution

Given C Code:

// Define method inner4

void inner4(vec_ptr u, vec_ptr v, data_t *dest)

{

// Declare variable

long i;

//Compute length of vector

long length = vec_length(u);

//Get first vector

data_t *udata = get_vec_start(u);

//Get second vector

data_t *vdata = get_vec_start(v);

//Initialize variable

data_t sum = (data_t) 0;

//Loop

for (i = 0; i < length; i++)

{

//Compute product and add

sum = sum + udata[i] * vdata[i];

}

//Store result

*dest = sum;

}

CPE value for floating-point versions:

The inner product computed is been accumulated in temporary.
The float add operation is only on key path.
The multiplication operation takes 5 clock cycles.
The overall operation takes 3 cycles to complete on average.
Hence, CPE value for floating-point versions is 3.0.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 5, Problem 5.13HW

A.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

A.

Expert Solution

Explanation of Solution

Diagram for instruction sequence:

EBK COMPUTER SYSTEMS, Chapter 5, Problem 5.13HW , additional homework tip 1

EBK COMPUTER SYSTEMS, Chapter 5, Problem 5.13HW , additional homework tip 2

Explanation:

The data dependencies between instructions are been depicted in diagram.
The given instruction sequence is been decoded into operations.
It creates a critical path of operations.
The data flow between instructions is been shown in diagram.

B.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

B.

Expert Solution

Explanation of Solution

Lower bound on CPE:

The lower bound on CPE is been determined by critical path.
For data type “double”, it denotes the float add cell.
The lower bound on CPE is 3.0 based on the architecture.

C.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

C.

Expert Solution

Explanation of Solution

Lower bound on CPE:

The lower bound on CPE is been determined by critical path.
For data type “integer”, it denotes the long add cell.
The lower bound on CPE is 1.0 based on the architecture.

D.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

D.

Expert Solution

Explanation of Solution

Given C Code:

// Define method inner4

void inner4(vec_ptr u, vec_ptr v, data_t *dest)

{

// Declare variable

long i;

//Compute length of vector

long length = vec_length(u);

//Get first vector

data_t *udata = get_vec_start(u);

//Get second vector

data_t *vdata = get_vec_start(v);

//Initialize variable

data_t sum = (data_t) 0;

//Loop

for (i = 0; i < length; i++)

{

//Compute product and add

sum = sum + udata[i] * vdata[i];

}

//Store result

*dest = sum;

}

CPE value for floating-point versions:

The inner product computed is been accumulated in temporary.
The float add operation is only on key path.
The multiplication operation takes 5 clock cycles.
The overall operation takes 3 cycles to complete on average.
Hence, CPE value for floating-point versions is 3.0.

Answer 6

Chapter 5, Problem 5.13HW

A.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

A.

Expert Solution

Explanation of Solution

Diagram for instruction sequence:

EBK COMPUTER SYSTEMS, Chapter 5, Problem 5.13HW , additional homework tip 1

EBK COMPUTER SYSTEMS, Chapter 5, Problem 5.13HW , additional homework tip 2

Explanation:

The data dependencies between instructions are been depicted in diagram.
The given instruction sequence is been decoded into operations.
It creates a critical path of operations.
The data flow between instructions is been shown in diagram.

Answer 7

Chapter 5, Problem 5.13HW

A.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

Answer 8

A.

Expert Solution

Explanation of Solution

Diagram for instruction sequence:

EBK COMPUTER SYSTEMS, Chapter 5, Problem 5.13HW , additional homework tip 1

EBK COMPUTER SYSTEMS, Chapter 5, Problem 5.13HW , additional homework tip 2

Explanation:

The data dependencies between instructions are been depicted in diagram.
The given instruction sequence is been decoded into operations.
It creates a critical path of operations.
The data flow between instructions is been shown in diagram.

Answer 9

A.

Expert Solution

Answer 10

A.

Expert Solution

Answer 11

Expert Solution

Answer 12

B.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

B.

Expert Solution

Explanation of Solution

Lower bound on CPE:

The lower bound on CPE is been determined by critical path.
For data type “double”, it denotes the float add cell.
The lower bound on CPE is 3.0 based on the architecture.

Answer 13

B.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

Answer 14

B.

Expert Solution

Explanation of Solution

Lower bound on CPE:

The lower bound on CPE is been determined by critical path.
For data type “double”, it denotes the float add cell.
The lower bound on CPE is 3.0 based on the architecture.

Answer 15

B.

Expert Solution

Answer 16

B.

Expert Solution

Answer 17

Expert Solution

Answer 18

C.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

C.

Expert Solution

Explanation of Solution

Lower bound on CPE:

The lower bound on CPE is been determined by critical path.
For data type “integer”, it denotes the long add cell.
The lower bound on CPE is 1.0 based on the architecture.

Answer 19

C.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

Answer 20

C.

Expert Solution

Explanation of Solution

Lower bound on CPE:

The lower bound on CPE is been determined by critical path.
For data type “integer”, it denotes the long add cell.
The lower bound on CPE is 1.0 based on the architecture.

Answer 21

C.

Expert Solution

Answer 22

C.

Expert Solution

Answer 23

Expert Solution

Answer 24

D.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

D.

Expert Solution

Explanation of Solution

Given C Code:

// Define method inner4

void inner4(vec_ptr u, vec_ptr v, data_t *dest)

{

// Declare variable

long i;

//Compute length of vector

long length = vec_length(u);

//Get first vector

data_t *udata = get_vec_start(u);

//Get second vector

data_t *vdata = get_vec_start(v);

//Initialize variable

data_t sum = (data_t) 0;

//Loop

for (i = 0; i < length; i++)

{

//Compute product and add

sum = sum + udata[i] * vdata[i];

}

//Store result

*dest = sum;

}

CPE value for floating-point versions:

The inner product computed is been accumulated in temporary.
The float add operation is only on key path.
The multiplication operation takes 5 clock cycles.
The overall operation takes 3 cycles to complete on average.
Hence, CPE value for floating-point versions is 3.0.

Answer 25

D.

Program Plan Intro

Cycles per element (CPE):

The CPE denotes performance of program that helps in improving code.

It helps to understand detailed level loop performance for an iterative program.

It is suitable for programs that use a repetitive calculation.

The processor’s activity sequencing is measured by a clock that provides signal of some frequency.

Answer 26

D.

Expert Solution

Explanation of Solution

Given C Code:

// Define method inner4

void inner4(vec_ptr u, vec_ptr v, data_t *dest)

{

// Declare variable

long i;

//Compute length of vector

long length = vec_length(u);

//Get first vector

data_t *udata = get_vec_start(u);

//Get second vector

data_t *vdata = get_vec_start(v);

//Initialize variable

data_t sum = (data_t) 0;

//Loop

for (i = 0; i < length; i++)

{

//Compute product and add

sum = sum + udata[i] * vdata[i];

}

//Store result

*dest = sum;

}

CPE value for floating-point versions:

The inner product computed is been accumulated in temporary.
The float add operation is only on key path.
The multiplication operation takes 5 clock cycles.
The overall operation takes 3 cycles to complete on average.
Hence, CPE value for floating-point versions is 3.0.

Answer 27

D.

Expert Solution

Answer 28

D.

Expert Solution

Answer 29

Expert Solution

Answer 30

Ch. 5.1 - Prob. 5.1PP Ch. 5.2 - Prob. 5.2PP Ch. 5.4 - Prob. 5.3PP Ch. 5.6 - Prob. 5.4PP Ch. 5.7 - Practice Problem 5.5 (solution page 575) Suppose...Ch. 5.7 - Practice Problem 5.6 (solution page 575) Let us...Ch. 5.8 - Prob. 5.7PP Ch. 5.9 - Prob. 5.8PP Ch. 5.11 - Prob. 5.9PP Ch. 5.12 - Prob. 5.10PP

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Explanation of Solution

Explanation of Solution

Explanation of Solution

Explanation of Solution

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Chapter 5 Solutions