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A. What bit pattern does mask have, as a function of x? B. What numerical value does mask have, as a function of x? C. For what values of x do functions abs and opt abs return identical results?

A. What bit pattern does mask have, as a function of x? B. What numerical value does mask have, as a function of x? C. For what values of x do functions abs and opt abs return identical results?

Database System Concepts
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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Chapter 3: Practice Problems VIII. You are given the following C code to compute integer absolute value: int abs(int x) { } return x < 0 ? x = x; You've concerned, however, that mispredicted branches cause your machine to run slowly. So, knowing that your machine uses a two's complement representation, you try the following (recall that sizeof(int) returns the number of bytes in an int): int opt_abs(int x) { int mask = x >> (sizeof(int)*8-1); int comp = x mask; return comp; } A. What bit pattern does mask have, as a function of x? B. What numerical value does mask have, as a function of x? C. For what values of x do functions abs and opt abs return identical results? D. For the cases where they produce different results, how are the two results related? E. Show that with the addition of just one single arithmetic operation (any C operation is allowed) that you can fix opt abs. Show your modifications on the original code. (You can just provide the line that you will add). F. Are there any values of x such that abs returns a value that is not greater than 0? Which value(s)?
Transcribed Image Text:Chapter 3: Practice Problems VIII. You are given the following C code to compute integer absolute value: int abs(int x) { } return x < 0 ? x = x; You've concerned, however, that mispredicted branches cause your machine to run slowly. So, knowing that your machine uses a two's complement representation, you try the following (recall that sizeof(int) returns the number of bytes in an int): int opt_abs(int x) { int mask = x >> (sizeof(int)*8-1); int comp = x mask; return comp; } A. What bit pattern does mask have, as a function of x? B. What numerical value does mask have, as a function of x? C. For what values of x do functions abs and opt abs return identical results? D. For the cases where they produce different results, how are the two results related? E. Show that with the addition of just one single arithmetic operation (any C operation is allowed) that you can fix opt abs. Show your modifications on the original code. (You can just provide the line that you will add). F. Are there any values of x such that abs returns a value that is not greater than 0? Which value(s)?
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