PHPComplex
==========

---

PHP Class Library for working with Complex numbers

[![Build Status](https://github.com/MarkBaker/PHPComplex/workflows/main/badge.svg)](https://github.com/MarkBaker/PHPComplex/actions)
[![Total Downloads](https://img.shields.io/packagist/dt/markbaker/complex)](https://packagist.org/packages/markbaker/complex)
[![Latest Stable Version](https://img.shields.io/github/v/release/MarkBaker/PHPComplex)](https://packagist.org/packages/markbaker/complex)
[![License](https://img.shields.io/github/license/MarkBaker/PHPComplex)](https://packagist.org/packages/markbaker/complex)


[![Complex Numbers](https://imgs.xkcd.com/comics/complex_numbers_2x.png)](https://xkcd.com/2028/)

---

The library currently provides the following operations:

 - addition
 - subtraction
 - multiplication
 - division
    - division by
    - division into

together with functions for 

 - theta (polar theta angle)
 - rho (polar distance/radius)
 - conjugate
 * negative
 - inverse (1 / complex)
 - cos (cosine)
 - acos (inverse cosine)
 - cosh (hyperbolic cosine)
 - acosh (inverse hyperbolic cosine)
 - sin (sine)
 - asin (inverse sine)
 - sinh (hyperbolic sine)
 - asinh (inverse hyperbolic sine)
 - sec (secant)
 - asec (inverse secant)
 - sech (hyperbolic secant)
 - asech (inverse hyperbolic secant)
 - csc (cosecant)
 - acsc (inverse cosecant)
 - csch (hyperbolic secant)
 - acsch (inverse hyperbolic secant)
 - tan (tangent)
 - atan (inverse tangent)
 - tanh (hyperbolic tangent)
 - atanh (inverse hyperbolic tangent)
 - cot (cotangent)
 - acot (inverse cotangent)
 - coth (hyperbolic cotangent)
 - acoth (inverse hyperbolic cotangent)
 - sqrt (square root)
 - exp (exponential)
 - ln (natural log)
 - log10 (base-10 log)
 - log2 (base-2 log)
 - pow (raised to the power of a real number)
 
 
---

# Installation

```shell
composer require markbaker/complex:^1.0
```

# Important BC Note

If you've previously been using procedural calls to functions and operations using this library, then from version 3.0 you should use [MarkBaker/PHPComplexFunctions](https://github.com/MarkBaker/PHPComplexFunctions) instead (available on packagist as [markbaker/complex-functions](https://packagist.org/packages/markbaker/complex-functions)).

You'll need to replace `markbaker/complex`in your `composer.json` file with the new library, but otherwise there should be no difference in the namespacing, or in the way that you have called the Complex functions in the past, so no actual code changes are required.

```shell
composer require markbaker/complex-functions:^3.0
```

You should not reference this library (`markbaker/complex`) in your `composer.json`, composer wil take care of that for you.

# Usage

To create a new complex object, you can provide either the real, imaginary and suffix parts as individual values, or as an array of values passed passed to the constructor; or a string representing the value. e.g

```php
$real = 1.23;
$imaginary = -4.56;
$suffix = 'i';

$complexObject = new Complex\Complex($real, $imaginary, $suffix);
```
or as an array
```php
$real = 1.23;
$imaginary = -4.56;
$suffix = 'i';

$arguments = [$real, $imaginary, $suffix];

$complexObject = new Complex\Complex($arguments);
```
or as a string
```php
$complexString = '1.23-4.56i';

$complexObject = new Complex\Complex($complexString);
```

Complex objects are immutable: whenever you call a method or pass a complex value to a function that returns a complex value, a new Complex object will be returned, and the original will remain unchanged.
This also allows you to chain multiple methods as you would for a fluent interface (as long as they are methods that will return a Complex result).

## Performing Mathematical Operations

To perform mathematical operations with Complex values, you can call the appropriate method against a complex value, passing other values as arguments

```php
$complexString1 = '1.23-4.56i';
$complexString2 = '2.34+5.67i';

$complexObject = new Complex\Complex($complexString1);
echo $complexObject->add($complexString2);
```

or use the static Operation methods
```php
$complexString1 = '1.23-4.56i';
$complexString2 = '2.34+5.67i';

echo Complex\Operations::add($complexString1, $complexString2);
```
If you want to perform the same operation against multiple values (e.g. to add three or more complex numbers), then you can pass multiple arguments to any of the operations.

You can pass these arguments as Complex objects, or as an array, or string that will parse to a complex object.

## Using functions

When calling any of the available functions for a complex value, you can either call the relevant method for the Complex object
```php
$complexString = '1.23-4.56i';

$complexObject = new Complex\Complex($complexString);
echo $complexObject->sinh();
```

or use the static Functions methods
```php
$complexString = '1.23-4.56i';

echo Complex\Functions::sinh($complexString);
```
As with operations, you can pass these arguments as Complex objects, or as an array or string that will parse to a complex object.


In the case of the `pow()` function (the only implemented function that requires an additional argument) you need to pass both arguments when calling the function

```php
$complexString = '1.23-4.56i';

$complexObject = new Complex\Complex($complexString);
echo Complex\Functions::pow($complexObject, 2);
```
or pass the additional argument when calling the method
```php
$complexString = '1.23-4.56i';

$complexObject = new Complex\Complex($complexString);
echo $complexObject->pow(2);
```

• [D] .github
• [D] classes
• [D] examples
• [F] composer.json
  Delete
• [F] license.md
  Delete
• [F] README.md
  Delete

Secure, Swift, and Smart Payments with NFCPay !

With NFC Pay, experience seamless and secure transactions right at your fingertips. Add your cards, load your wallet, and make payments effortlessly. Activate your merchant account to receive payments or transfer money instantly to other users. NFC Pay combines security, speed, and smart features, making every transaction smooth and reliable. Embrace the future of payments with NFC Pay.

2320

Total User

2320

Happy User

Our Best Customer

How it Works

Quick Steps to NFC Pay

Getting started with NFC Pay is simple and quick. Register your account, add your cards, and you're ready to make payments in no time. Whether you're paying at a store, sending money to a friend, or managing your merchant transactions, NFC Pay makes it easy and secure.

1

Register Your Account

Download the NFC Pay app and sign up with your email or phone number. Complete the registration process by verifying your identity, and set up your secure PIN to protect your account.

2

Add Your Cards

Link your debit or credit cards to your NFC Pay wallet. Simply scan your card or enter the details manually, and you’re set to load funds, shop, and pay with ease.

3

Make Payment

To pay, simply tap your phone or scan the QR code at checkout. You can also transfer money to other users with a few taps. Enjoy fast, contactless payments with top-notch security.

Security System

Advanced Security Features Designed to Protect Your Information Effectively

NFC Pay prioritizes your security with advanced features that safeguard every transaction. From SMS or email verification to end-to-end encryption, we've implemented robust measures to ensure your data is always protected. Our security systems are designed to prevent unauthorized access and provide you with a safe and reliable payment experience.

SMS or Email Verification

Receive instant alerts for every transaction to keep track of your account activities.

KYC Solution

Verify your identity through our Know Your Customer process to prevent fraud and enhance security.

Two Factor Authentication

Dramatically supply transparent backward deliverables before caward comp internal or "organic" sources.

End-to-End Encryption

All your data and transactions are encrypted, ensuring that your sensitive information remains private.

Behavior Tracking

Monitor unusual activity patterns to detect and prevent suspicious behavior in real-time.

Why Choice Us

Top Reasons to Choose Us for Reliable and Expert Solutions

With NFC Pay, you get a trusted platform backed by proven expertise and a commitment to quality. We put our customers first, offering innovative solutions tailored to your needs, ensuring every transaction is secure, swift, and seamless.

1

Proven Expertise

Our team brings years of experience in the digital payments industry to provide reliable services.

2

Commitment to Quality

We prioritize excellence, ensuring that every aspect of our platform meets the highest standards.

3

Customer-Centric Approach

Your needs drive our solutions, and we are dedicated to delivering a superior user experience.

4

Innovative Solutions

We continuously evolve, integrating the latest technologies to enhance your payment experience.

Testimonial Section

Customer Feedback: Real Experiences from Satisfied Clients and Partners

Hear from our users who trust NFC Pay for their everyday transactions. Our commitment to security, ease of use, and exceptional service shines through in their experiences. See why our clients choose NFC Pay for their payment needs and how it has transformed the way they manage their finances.

"NFC Pay has made my transactions incredibly simple and secure. The intuitive interface and quick payment options are game-changers for my business"

Sophia Martinez

"I love how NFC Pay prioritizes security without compromising on convenience. The two-factor authentication and instant alerts give me peace of mind every time I use it."

Emily Clark

"Setting up my merchant account was a breeze, and now I can accept payments effortlessly. NFC Pay has truly streamlined my operations, saving me time and hassle."

John Carter

App Section

Get the NFC Pay App for Seamless Transactions Anytime, Anywhere

Unlock the full potential of NFC Pay by downloading our app, designed to bring secure, swift, and smart transactions to your fingertips. Whether you're paying at a store, transferring money to friends, or managing your business payments, the NFC Pay app makes it effortless. Available on both iOS and Android, it's your all-in-one solution for convenient and reliable digital payments. Download now and experience the future of payments!

Get it on

Google Pay

Download On The

Apple Store