
Concept explainers
A.
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.

Explanation of Solution
Diagram for instruction sequence:
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.
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.

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.
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.

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.
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.

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
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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