Answered: Write code for a function (C++) with…

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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Question

Write code for a function (C++) with the following pro- totype:

/* Addition that saturates to TMin or TMax */ int16_t saturating_add(int16_t x, int16_t y);

Instead of overflowing the way normal two’s-complement addition does, satu- rating addition returns Tmax when there would be positive overflow, and TMin when there would be negative overflow. Saturating arithmetic is commonly used in programs that perform digital signal processing. Your function should follow the bit-level integer coding rules from as1.

Expert Solution

Step 1: Algorithm of the program:

Algorithm:

Define a function saturating_add that takes two int16_t inputs, x and y.
Calculate the sum of x and y as a 32-bit integer.
Check if the sum is greater than INT16_MAX. If it is, return INT16_MAX to saturate the result for positive overflow.
Check if the sum is less than INT16_MIN. If it is, return INT16_MIN to saturate the result for negative overflow.
Otherwise, return the sum as an int16_t.

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