c progamming

Complex Arithmetic

Defining a new type for a complex number consisting of two parts, real and img, both of which will contain integers:

typedef struct { int real; int img; } complex;

Declaring variables of this type:

complex num;

Accessing variables of this type: printf(“Enter the real part of the number: “); scanf(“%d”, &num.real); printf(“Enter the imaginary part of the number: “); scanf(“%d”, &num.img); Note: The member notation is a PERIOD indicating which member of the structure you are referring to. Files and subprograms needed for this activity:

 main.c o The main program will consist of a menu driven program that provides the user with a menu to

manipulate complex numbers. The menu options will include add, subtract, multiply, divide, conjugate, negate, toggle menu, and quit.

o The switch statement will have a case for each menu option and will make use of a variety of subprograms to perform the necessary actions associated with the menu option selected. Example:

case 1: num1 = Read_Complex(); num2 = Read_Complex(); ans = Add_Complex(num1, num2); Write_Complex(ans); break;

 complex.h o Will contain the type definition for the complex type

 boolean.h o Will contain the #define statements for TRUE and FALSE as well as the type definition for the boolean

type

 Complex_IO (Note: Will need Complex_IO.h for prototypes and Complex_IO.c for definitions)

o Read_Complex will prompt for input of the real and imaginary part of a number and then return the complex number to the main program where it will be assigned to the appropriate variable.

o Write_Complex will take a single complex number sent to it and display it in the standard format 2 + 3i where 2 is the real part and 3 is the imaginary part. Note: If the imaginary part is negative, then this should appear as 2 – 3i and not 2 + -3i

 Complex_Arith (Note: Will need Complex_Arith.h for prototypes and Complex_Arith.c for definitions)

o Add_Complex will take two complex numbers passed to it, calculate the sum, and then return the complex answer.

o Subtract_Complex will take two complex numbers passed to it, calculate the difference (1st – 2nd), and then return the complex answer.

o Multiply_Complex will take two complex numbers passed to it, calculate the product, and then return the complex answer.

o Divide_Complex will take two complex numbers passed to it, divide 1st by the 2nd, and then print the answer locally because it will not be able to be assigned to our complex type because the parts will be real numbers and not integers. Note: Need to prevent division by zero in the main program before calling subprogram.

o Conjugate_Complex will take a single complex number sent to it, multiply the imaginary part only by negative one, and return the resulting complex number.

o Negate_Complex will take a single complex number sent to it, multiply both the real and the imaginary parts by negative one, and return the resulting complex number.