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<?php
namespace 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;
}
}
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