Home Backend Development C#.Net Tutorial What you should know about complex number operations in C language when learning programming

What you should know about complex number operations in C language when learning programming

Jun 17, 2020 pm 12:01 PM
c language plural

What you should know about complex number operations in C language when learning programming

What you should know about complex number operations in C language when learning programming

Complex numbers are very important in mathematical operations. When writing numerical operations or algorithms, we will use the concept of complex numbers. So, how are complex numbers represented in C/C language? We will introduce them one by one next.

Complex numbers in C language

In mathematics, a complex number can be defined in the form of (z=a bi). The C language introduced plural types in ISO C99. It is defined in complex.h. We can use complex , __complex__ , or _ComplexI type symbols to represent it. There are three complex number types in C language, namely float complex, double complex, and long double complex. The difference between them is that the data types representing the real part and imaginary step of complex numbers are different. Complex is actually an array. There are two elements in the array, one representing the real part of the complex number and one representing the imaginary part of the complex number.

Define a complex number

Two macros _Complex_I and I are defined in the complex.h header file to create a complex number.

Macro: const float complex _Complex_I;
Macro: const float complex  I;
Copy after login

These two macros represent complex numbers (0 1i). We can use this unit complex number to create any complex number.

#include <stdio.h>
#include <complex.h>
int main(int argc, char *argv[])
{
  complex  double  a = 3.0 + 4.0 * _Complex_I;
  __complex__ double b = 4.0 + 5.0 * _Complex_I;
  _Complex  double c = 5.0 + 6.0 * _Complex_I;
  printf("a=%f+%fi\n", creal(a),cimag(a));
  printf("b=%f+%fi\n", creal(b), cimag(b));
  printf("c=%f+%fi\n", creal(c), cimag(c));
  printf("the arg of a is %d", carg(a));
  return 0;
}
a=3.000000+4.000000i
b=4.000000+5.000000i
c=5.000000+6.000000i
the arg of a is 176
Copy after login

Basic operation functions for complex numbers

Defines some functions for basic operations on complex numbers in the complex.h header file.

Function function

creal Get the real part of the complex number

cimag Get the imaginary part of the complex number

conj Get the conjugate of the complex number

carg Gets the angle between the straight line on the complex plane that passes through the origin and the point represented by the complex number on the complex plane and the real axis

cproj Returns the projection of the complex number on the Riemann sphere

Numerical operations on complex numbers

Complex number types can also be directly used to perform numerical operations like ordinary numerical types, ~int, double, long~, using numerical operation symbols.

#include <stdio.h>
#include <complex.h>
int main(int argc, char *argv[])
{
  complex  double  a = 3.0 + 4.0 * _Complex_I;
  __complex__ double b = 4.0 + 5.0 * _Complex_I;
  _Complex  double c = 5.0 + 6.0 * _Complex_I;
  complex double d =a + b;
  complex double f = a *b ;
  complex double g = a/b;
  printf ("d=a+b=%f+%fi\n",creal(d),cimag(d));
  printf ("f=a*b=%f+%fi\n",creal(f),cimag(f));
  printf("g=a/b=%f+%fi\n",creal(g),cimag(g));
  return 0;
}
d=a+b=7.000000+9.000000i
f=a*b=-8.000000+31.000000i
g=a/b=0.780488+0.024390i
Copy after login

Thank you everyone for reading, I hope you will benefit a lot.

This article is reproduced from: https://blog.csdn.net/duandianR/article/details/70846638

Recommended tutorial: "C Language"

The above is the detailed content of What you should know about complex number operations in C language when learning programming. For more information, please follow other related articles on the PHP Chinese website!

Statement of this Website
The content of this article is voluntarily contributed by netizens, and the copyright belongs to the original author. This site does not assume corresponding legal responsibility. If you find any content suspected of plagiarism or infringement, please contact admin@php.cn

Hot AI Tools

Undresser.AI Undress

Undresser.AI Undress

AI-powered app for creating realistic nude photos

AI Clothes Remover

AI Clothes Remover

Online AI tool for removing clothes from photos.

Undress AI Tool

Undress AI Tool

Undress images for free

Clothoff.io

Clothoff.io

AI clothes remover

AI Hentai Generator

AI Hentai Generator

Generate AI Hentai for free.

Hot Article

R.E.P.O. Energy Crystals Explained and What They Do (Yellow Crystal)
2 weeks ago By 尊渡假赌尊渡假赌尊渡假赌
Repo: How To Revive Teammates
4 weeks ago By 尊渡假赌尊渡假赌尊渡假赌
Hello Kitty Island Adventure: How To Get Giant Seeds
4 weeks ago By 尊渡假赌尊渡假赌尊渡假赌

Hot Tools

Notepad++7.3.1

Notepad++7.3.1

Easy-to-use and free code editor

SublimeText3 Chinese version

SublimeText3 Chinese version

Chinese version, very easy to use

Zend Studio 13.0.1

Zend Studio 13.0.1

Powerful PHP integrated development environment

Dreamweaver CS6

Dreamweaver CS6

Visual web development tools

SublimeText3 Mac version

SublimeText3 Mac version

God-level code editing software (SublimeText3)

Usage of typedef struct in c language Usage of typedef struct in c language May 09, 2024 am 10:15 AM

typedef struct is used in C language to create structure type aliases to simplify the use of structures. It aliases a new data type to an existing structure by specifying the structure alias. Benefits include enhanced readability, code reuse, and type checking. Note: The structure must be defined before using an alias. The alias must be unique in the program and only valid within the scope in which it is declared.

What does real mean in c language What does real mean in c language May 09, 2024 pm 12:06 PM

real is the data type used to represent double-precision floating-point numbers in C language. It occupies 8 bytes, has a precision of about 15 decimal places, and the range is [-1.7976931348623157e+308, 1.7976931348623157e+308].

_complex usage in c language _complex usage in c language May 08, 2024 pm 01:27 PM

The complex type is used to represent complex numbers in C language, including real and imaginary parts. Its initialization form is complex_number = 3.14 + 2.71i, the real part can be accessed through creal(complex_number), and the imaginary part can be accessed through cimag(complex_number). This type supports common mathematical operations such as addition, subtraction, multiplication, division, and modulo. In addition, a set of functions for working with complex numbers is provided, such as cpow, csqrt, cexp, and csin.

How to use restrict in c language How to use restrict in c language May 08, 2024 pm 01:30 PM

The restrict keyword is used to inform the compiler that a variable can only be accessed by a pointer, preventing undefined behavior, optimizing code and improving readability: Preventing undefined behavior when multiple pointers point to the same variable. To optimize code, the compiler uses the restrict keyword to optimize variable access. Improves code readability by indicating that variables can only be accessed by a pointer.

How to implement the power function in C language How to implement the power function in C language May 09, 2024 pm 11:33 PM

In C language, there are two ways to implement the exponentiation operation: use the pow() function to calculate the power of the second parameter of the first parameter. Define a custom power function, which can be implemented recursively or iteratively: the recursive method continues to double the power until it is 0. The iterative method uses a loop to multiply the base one by one.

What to do if there is an error in scanf in C language What to do if there is an error in scanf in C language May 09, 2024 am 11:39 AM

In C language, methods for handling scanf function errors include: 1. Check the format string; 2. Check the input; 3. Check the return value; 4. Set the error flag; 5. Use the error handling function; 6. Use custom errors deal with. To prevent errors, use the correct data types, carefully validate input, check return values, and handle potential errors in your program.

_What does bool mean in c language? _What does bool mean in c language? May 08, 2024 pm 01:33 PM

_Bool represents Boolean type in C language. It is a simple data type that contains only two values, true or false. It is used to represent the results of conditions or logical expressions. It usually occupies 1 byte of memory and can only store true or false. false value.

What does reg mean in c language What does reg mean in c language May 09, 2024 am 09:57 AM

reg is the keyword used for registers in C language and is used to declare pointer variables pointing to registers. Syntax: register data_type *var_name; where data_type is the data type stored in the register, and var_name is the name of the pointer variable. The value in the register can be accessed by dereferencing the pointer, but please note that the available registers vary between platforms and compilers.

See all articles