Answer the given question with a proper explanation and step-by-step solution. Solve the assembly question regarding registers written in C code
Answer the given question with a proper explanation and step-by-step solution. Solve the assembly question regarding registers written in C code
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Answer the given question with a proper explanation and step-by-step solution.
Solve the assembly question regarding registers written in C code
![The following is a segment of C code for matrix multiplication C=C+A*B. How many times each matrix element needs
to be accessed/used? How many times each matrix element needs to be loaded-from and stored-to memory?
for (i=0; i<n; i++)
for(j=0; j<n; j++)
for (k=0; k<n; k++)
C[i*n+j]+=A[i*n+k]*B[k*n+j];
The following improved code reduces the number of memory load and stores for matrix C by using a register to
store C[i*n+j]. How many times each matrix element needs to be loaded-from and stored-to memory? Report the
performance of both the original version and this improved version code for matrices of size 1000, 1500, 2000, 2500.
for (i=0; i<n; i++)
}
for (j=0; j<n; j++){
register double t=C[i*n+j];
for (k=0; k<n; k++)
t+=A[i*n+k]*B[k*n+j];
C[i*n+j]=t;
More aggressive optimization can be done by reducing the memory load and store for matrix A, B, and C. Implement
the idea discussed in the last slides of the class lecture, verify the correctness of your implementation by checking
the maximum error in the result matrix C, and compare the performance with the previous two versions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7cb6215-048b-47a5-b28f-7c86abf1a0e4%2Fce3e5229-c707-42cc-a87a-ee247e58dee8%2Fn2w539_processed.png&w=3840&q=75)
Transcribed Image Text:The following is a segment of C code for matrix multiplication C=C+A*B. How many times each matrix element needs
to be accessed/used? How many times each matrix element needs to be loaded-from and stored-to memory?
for (i=0; i<n; i++)
for(j=0; j<n; j++)
for (k=0; k<n; k++)
C[i*n+j]+=A[i*n+k]*B[k*n+j];
The following improved code reduces the number of memory load and stores for matrix C by using a register to
store C[i*n+j]. How many times each matrix element needs to be loaded-from and stored-to memory? Report the
performance of both the original version and this improved version code for matrices of size 1000, 1500, 2000, 2500.
for (i=0; i<n; i++)
}
for (j=0; j<n; j++){
register double t=C[i*n+j];
for (k=0; k<n; k++)
t+=A[i*n+k]*B[k*n+j];
C[i*n+j]=t;
More aggressive optimization can be done by reducing the memory load and store for matrix A, B, and C. Implement
the idea discussed in the last slides of the class lecture, verify the correctness of your implementation by checking
the maximum error in the result matrix C, and compare the performance with the previous two versions.
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