📄 bits.c
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/* * CS:APP Data Lab * * bits.c - Source file with your solutions to the Lab. * This is the file you will hand in to your instructor. * * WARNING: Do not include the <stdio.h> header; it confuses the dlc * compiler. You can still use printf for debugging without including * <stdio.h>, although you might get a compiler warning. In general, * it's not good practice to ignore compiler warnings, but in this * case it's OK. */#include "btest.h"#include <limits.h>/* * Instructions to Students: * * STEP 1: Fill in the following struct with your identifying info. */team_struct team ={ /* Team name: Replace with either: Your login ID if working as a one person team or, ID1+ID2 where ID1 is the login ID of the first team member and ID2 is the login ID of the second team member */ "", /* Student name 1: Replace with the full name of first team member */ "", /* Login ID 1: Replace with the login ID of first team member */ "", /* The following should only be changed if there are two team members */ /* Student name 2: Full name of the second team member */ "", /* Login ID 2: Login ID of the second team member */ ""};#if 0/* * STEP 2: Read the following instructions carefully. */You will provide your solution to the Data Lab byediting the collection of functions in this source file.CODING RULES: Replace the "return" statement in each function with one or more lines of C code that implements the function. Your code must conform to the following style: int Funct(arg1, arg2, ...) { /* brief description of how your implementation works */ int var1 = Expr1; ... int varM = ExprM; varJ = ExprJ; ... varN = ExprN; return ExprR; } Each "Expr" is an expression using ONLY the following: 1. Integer constants 0 through 255 (0xFF), inclusive. You are not allowed to use big constants such as 0xffffffff. 2. Function arguments and local variables (no global variables). 3. Unary integer operations ! ~ 4. Binary integer operations & ^ | + << >> Some of the problems restrict the set of allowed operators even further. Each "Expr" may consist of multiple operators. You are not restricted to one operator per line. You are expressly forbidden to: 1. Use any control constructs such as if, do, while, for, switch, etc. 2. Define or use any macros. 3. Define any additional functions in this file. 4. Call any functions. 5. Use any other operations, such as &&, ||, -, or ?: 6. Use any form of casting. You may assume that your machine: 1. Uses 2s complement, 32-bit representations of integers. 2. Performs right shifts arithmetically. 3. Has unpredictable behavior when shifting an integer by more than the word size.EXAMPLES OF ACCEPTABLE CODING STYLE: /* * pow2plus1 - returns 2^x + 1, where 0 <= x <= 31 */ int pow2plus1(int x) { /* exploit ability of shifts to compute powers of 2 */ return (1 << x) + 1; } /* * pow2plus4 - returns 2^x + 4, where 0 <= x <= 31 */ int pow2plus4(int x) { /* exploit ability of shifts to compute powers of 2 */ int result = (1 << x); result += 4; return result; }NOTES: 1. Use the dlc (data lab checker) compiler (described in the handout) to check the legality of your solutions. 2. Each function has a maximum number of operators (! ~ & ^ | + << >>) that you are allowed to use for your implementation of the function. The max operator count is checked by dlc. Note that '=' is not counted; you may use as many of these as you want without penalty. 3. Use the btest test harness to check your functions for correctness. 4. The maximum number of ops for each function is given in the header comment for each function. If there are any inconsistencies between the maximum ops in the writeup and in this file, consider this file the authoritative source.#endif/* * STEP 3: Modify the following functions according the coding rules. * * IMPORTANT. TO AVOID GRADING SURPRISES: * 1. Use the dlc compiler to check that your solutions conform * to the coding rules. * 2. Use the btest test harness to check that your solutions produce * the correct answers. Watch out for corner cases around Tmin and Tmax. *//* * bitNor - ~(x|y) using only ~ and & * Example: bitNor(0x6, 0x5) = 0xFFFFFFF8 * Legal ops: ~ & * Max ops: 8 * Rating: 1 */int bitNor(int x, int y) { return 2;}/* * bitXor - x^y using only ~ and & * Example: bitXor(4, 5) = 1 * Legal ops: ~ & * Max ops: 14 * Rating: 2 */int bitXor(int x, int y) { return 2;}/* * isNotEqual - return 0 if x == y, and 1 otherwise * Examples: isNotEqual(5,5) = 0, isNotEqual(4,5) = 1 * Legal ops: ! ~ & ^ | + << >> * Max ops: 6 * Rating: 2 */int isNotEqual(int x, int y) { return 2;}/* * getByte - Extract byte n from word x * Bytes numbered from 0 (LSB) to 3 (MSB) * Examples: getByte(0x12345678,1) = 0x56 * Legal ops: ! ~ & ^ | + << >> * Max ops: 6 * Rating: 2 */int getByte(int x, int n) { return 2;}/* * bang - Compute !x without using ! * Examples: bang(3) = 0, bang(0) = 1 * Legal ops: ~ & ^ | + << >> * Max ops: 12 * Rating: 4 */int bang(int x) { return 2;}/* * bitCount - returns count of number of 1's in word * Examples: bitCount(5) = 2, bitCount(7) = 3 * Legal ops: ! ~ & ^ | + << >> * Max ops: 40 * Rating: 4 */int bitCount(int x) { return 2;}/* * tmin - return minimum two's complement integer * Legal ops: ! ~ & ^ | + << >> * Max ops: 4 * Rating: 1 */int tmin(void) { return 2;}/* * isNegative - return 1 if x < 0, return 0 otherwise * Example: isNegative(-1) = 1. * Legal ops: ! ~ & ^ | + << >> * Max ops: 6 * Rating: 3 */int isNegative(int x) { return 2;}/* * divpwr2 - Compute x/(2^n), for 0 <= n <= 30 * Round toward zero * Examples: divpwr2(15,1) = 7, divpwr2(-33,4) = -2 * Legal ops: ! ~ & ^ | + << >> * Max ops: 15 * Rating: 2 */int divpwr2(int x, int n) { return 2;}/* * fitsBits - return 1 if x can be represented as an * n-bit, two's complement integer. * 1 <= n <= 32 * Examples: fitsBits(5,3) = 0, fitsBits(-4,3) = 1 * Legal ops: ! ~ & ^ | + << >> * Max ops: 15 * Rating: 2 */int fitsBits(int x, int n) { return 2;}/* * isLessOrEqual - if x <= y then return 1, else return 0 * Example: isLessOrEqual(4,5) = 1. * Legal ops: ! ~ & ^ | + << >> * Max ops: 24 * Rating: 3 */int isLessOrEqual(int x, int y) { return 2;}/* * sum3 - x+y+z using only a single '+' * Example: sum3(3, 4, 5) = 12 * Legal ops: ! ~ & ^ | << >> * Max ops: 16 * Rating: 3 *//* A helper routine to perform the addition. Don't change this code */static int sum(int x, int y) { return x+y;}int sum3(int x, int y, int z) { int word1 = 0; int word2 = 0; /************************************************************** Fill in code below that computes values for word1 and word2 without using any '+' operations ***************************************************************/ /************************************************************** Don't change anything below here ***************************************************************/ return sum(word1,word2);}/* * tc2sm - Convert from two's complement to sign-magnitude * where the MSB is the sign bit * You can assume that x > TMin * Example: tc2sm(-5) = 0x80000005. * Legal ops: ! ~ & ^ | + << >> * Max ops: 15 * Rating: 4 */int tc2sm(int x) { return 2;}/* * satAdd - adds two numbers but when positive overflow occurs, returns * maximum possible value, and when negative overflow occurs, * it returns minimum positive value. * Examples: satAdd(0x40000000,0x40000000) = 0x7fffffff * satAdd(0x80000000,0xffffffff) = 0x80000000 * Legal ops: ! ~ & ^ | + << >> * Max ops: 30 * Rating: 4 */int satAdd(int x, int y) { return 2;}/* * isPower2 - returns 1 if x is a power of 2, and 0 otherwise * Examples: isPower2(5) = 0, isPower2(8) = 1, isPower2(0) = 0 * Note that no negative number is a power of 2. * Legal ops: ! ~ & ^ | + << >> * Max ops: 60 * Rating: 4 */int isPower2(int x) { return 2;}
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