<?php

namespace TablePress\Complex;

use InvalidArgumentException;

class Operations
{
	/**
	 * Adds two or more complex numbers
	 *
	 * @param     array of string|integer|float|Complex    $complexValues   The numbers to add
	 * @return    Complex
	 */
	public static function add(...$complexValues): Complex
	{
		if (count($complexValues) < 2) {
			throw new \Exception('This function requires at least 2 arguments');
		}

		$base = array_shift($complexValues);
		$result = clone Complex::validateComplexArgument($base);

		foreach ($complexValues as $complex) {
			$complex = Complex::validateComplexArgument($complex);

			if ($result->isComplex() && $complex->isComplex() &&
				$result->getSuffix() !== $complex->getSuffix()) {
				throw new Exception('Suffix Mismatch');
			}

			$real = $result->getReal() + $complex->getReal();
			$imaginary = $result->getImaginary() + $complex->getImaginary();

			$result = new Complex(
				$real,
				$imaginary,
				($imaginary == 0.0) ? null : max($result->getSuffix(), $complex->getSuffix())
			);
		}

		return $result;
	}

	/**
	 * Divides two or more complex numbers
	 *
	 * @param     array of string|integer|float|Complex    $complexValues   The numbers to divide
	 * @return    Complex
	 */
	public static function divideby(...$complexValues): Complex
	{
		if (count($complexValues) < 2) {
			throw new \Exception('This function requires at least 2 arguments');
		}

		$base = array_shift($complexValues);
		$result = clone Complex::validateComplexArgument($base);

		foreach ($complexValues as $complex) {
			$complex = Complex::validateComplexArgument($complex);

			if ($result->isComplex() && $complex->isComplex() &&
				$result->getSuffix() !== $complex->getSuffix()) {
				throw new Exception('Suffix Mismatch');
			}
			if ($complex->getReal() == 0.0 && $complex->getImaginary() == 0.0) {
				throw new InvalidArgumentException('Division by zero');
			}

			$delta1 = ($result->getReal() * $complex->getReal()) +
				($result->getImaginary() * $complex->getImaginary());
			$delta2 = ($result->getImaginary() * $complex->getReal()) -
				($result->getReal() * $complex->getImaginary());
			$delta3 = ($complex->getReal() * $complex->getReal()) +
				($complex->getImaginary() * $complex->getImaginary());

			$real = $delta1 / $delta3;
			$imaginary = $delta2 / $delta3;

			$result = new Complex(
				$real,
				$imaginary,
				($imaginary == 0.0) ? null : max($result->getSuffix(), $complex->getSuffix())
			);
		}

		return $result;
	}

	/**
	 * Divides two or more complex numbers
	 *
	 * @param     array of string|integer|float|Complex    $complexValues   The numbers to divide
	 * @return    Complex
	 */
	public static function divideinto(...$complexValues): Complex
	{
		if (count($complexValues) < 2) {
			throw new \Exception('This function requires at least 2 arguments');
		}

		$base = array_shift($complexValues);
		$result = clone Complex::validateComplexArgument($base);

		foreach ($complexValues as $complex) {
			$complex = Complex::validateComplexArgument($complex);

			if ($result->isComplex() && $complex->isComplex() &&
				$result->getSuffix() !== $complex->getSuffix()) {
				throw new Exception('Suffix Mismatch');
			}
			if ($result->getReal() == 0.0 && $result->getImaginary() == 0.0) {
				throw new InvalidArgumentException('Division by zero');
			}

			$delta1 = ($complex->getReal() * $result->getReal()) +
				($complex->getImaginary() * $result->getImaginary());
			$delta2 = ($complex->getImaginary() * $result->getReal()) -
				($complex->getReal() * $result->getImaginary());
			$delta3 = ($result->getReal() * $result->getReal()) +
				($result->getImaginary() * $result->getImaginary());

			$real = $delta1 / $delta3;
			$imaginary = $delta2 / $delta3;

			$result = new Complex(
				$real,
				$imaginary,
				($imaginary == 0.0) ? null : max($result->getSuffix(), $complex->getSuffix())
			);
		}

		return $result;
	}

	/**
	 * Multiplies two or more complex numbers
	 *
	 * @param     array of string|integer|float|Complex    $complexValues   The numbers to multiply
	 * @return    Complex
	 */
	public static function multiply(...$complexValues): Complex
	{
		if (count($complexValues) < 2) {
			throw new \Exception('This function requires at least 2 arguments');
		}

		$base = array_shift($complexValues);
		$result = clone Complex::validateComplexArgument($base);

		foreach ($complexValues as $complex) {
			$complex = Complex::validateComplexArgument($complex);

			if ($result->isComplex() && $complex->isComplex() &&
				$result->getSuffix() !== $complex->getSuffix()) {
				throw new Exception('Suffix Mismatch');
			}

			$real = ($result->getReal() * $complex->getReal()) -
				($result->getImaginary() * $complex->getImaginary());
			$imaginary = ($result->getReal() * $complex->getImaginary()) +
				($result->getImaginary() * $complex->getReal());

			$result = new Complex(
				$real,
				$imaginary,
				($imaginary == 0.0) ? null : max($result->getSuffix(), $complex->getSuffix())
			);
		}

		return $result;
	}

	/**
	 * Subtracts two or more complex numbers
	 *
	 * @param     array of string|integer|float|Complex    $complexValues   The numbers to subtract
	 * @return    Complex
	 */
	public static function subtract(...$complexValues): Complex
	{
		if (count($complexValues) < 2) {
			throw new \Exception('This function requires at least 2 arguments');
		}

		$base = array_shift($complexValues);
		$result = clone Complex::validateComplexArgument($base);

		foreach ($complexValues as $complex) {
			$complex = Complex::validateComplexArgument($complex);

			if ($result->isComplex() && $complex->isComplex() &&
				$result->getSuffix() !== $complex->getSuffix()) {
				throw new Exception('Suffix Mismatch');
			}

			$real = $result->getReal() - $complex->getReal();
			$imaginary = $result->getImaginary() - $complex->getImaginary();

			$result = new Complex(
				$real,
				$imaginary,
				($imaginary == 0.0) ? null : max($result->getSuffix(), $complex->getSuffix())
			);
		}

		return $result;
	}
}
