PIC 10B留学生程序代做、C/C++程序调试、c++编程代写

日期：2021-02-25 11:50

PIC 10B Homework 4 Due Friday, Feb 26

Problem 1:

Using good coding practices, design your own ComplexVector class for vectors whose elements

are complex numbers. Provide an overloading implementation for term by term

addition, subtraction, multiplication, division, and the stream output operator. Such that if

v1 and v2 are ComplexVector objects, then one can compute v1 + v2, etc.

Hint : you may want to create a Complex class separately.

Complex numbers are expressed in the form a+bi, where a is the real part, b is the imaginary

part, and i is the imaginary unit satisfying i

2 = −1. Print your complex numbers using this

representation. When adding (or subtracting) two complex numbers, add (or subtract) their

real parts and imaginary parts separately. The multiplication of two complex numbers is

defined by,

(a + bi)(c + di) = (ac − bd) + (bc + ad)i, (1)

while division is given by,

a + bi

Using your newly defined ComplexVector class, write a recursive function to print the

first 6 terms in the sequence from equation (3) to a file titled “ComplexSequence.txt”.

fn+1 =

(2 + 3 i) n

7 + 5 n2

i

fn, (3)

f1 = 1 + i (4)

Using the vectors v1 and v2 ,

v1 = { 2 + 4 i, 3 + 5 i, -1 - 3 i , 8 + 10 i }

v2 = { -10 + 3.5 i, 4 + 7.3 i, 2 - 8 i, 10 -142 i},

write a main function that checks v1 + v2, v1 - v2, v1 * v2, and v1 / v2 by printing

them to the console. Figure 1 shows the sample outputs.

Due Friday, Feb 26 Homework 4 PIC 10B

Figure 1: Sample output.

Good Coding Practices:

❼ think about cross-platform. Don’t use Windows or Mac only commands. For example,

pause == cin.get() twice, write many \n vs. system(clear) or system(’cls).

❼ passing objects by reference & or const & when possible

❼ using field initializer list when possible in all constructors

Instructions for submission:

❼ Name your files exactly hw4.cpp, Complex.h, Complex.cpp, ComplexVector.h, and

ComplexVector.cpp.

❼ You may not use #include "stdafx.h".

❼ Add code description in the comment at the beginning of the file.

A sample description may look like:

/*

PIC 10B 2A, Homework 1

Purpose: Tic-tac-toe game

Author: Hanqin Cai

Date: 10/10/2019

*/

❼ Submit your header files and source codes to CCLE in separate files. Only .h and .cpp

files should be uploaded.