/**
* Convert if possible a supplied argument to a rational
*
* @param int|float|string|NumericTypeInterface $value
*
* @return \Chippyash\Math\Matrix\RationalNumber
*
* @throws \Chippyash\Matrix\Exceptions\MatrixException
* @throws \Exception
*/
protected function convertNumberToRational($value)
{
if ($value instanceof NumericTypeInterface) {
return $value->asRational();
}
switch (gettype($value)) {
case 'integer':
return RationalTypeFactory::create($value, 1);
case 'double':
return RationalTypeFactory::fromFloat($value);
case 'string':
try {
return RationalTypeFactory::fromString($value);
} catch (\Exception $e) {
try {
return ComplexTypeFactory::fromString($value)->asRational();
} catch (\Exception $ex) {
throw new MatrixException('The string representation of the number is invalid for a rational');
}
}
case 'NULL':
return RationalTypeFactory::create(0, 1);
case 'boolean':
return RationalTypeFactory::create($value ? 1 : 0, 1);
default:
throw new MatrixException('Rational expects int, float, string, Rational or NumericTypeInterface ');
}
}
/**
* @dataProvider polars
*/
public function testCreateFromPolarReturnsComplexType($r, $t)
{
$radius = RationalTypeFactory::fromString($r);
$theta = RationalTypeFactory::fromString($t);
$p = ComplexTypeFactory::fromPolar($radius, $theta);
$this->assertInstanceOf(self::CTYPE_NAME, $p);
}
/**
* Create and return a rational number matrix
* $data elements are either:
* - a RationalType
* - string representations of rational number
* - a PHP float
* - a 2 item array representing numerator & denominator e.g. [2,-4] = '-2/4'
*
* @param array $data
*
* @return \Chippyash\Math\Matrix\RationalMatrix
*
* @throws \Chippyash\Math\Matrix\Exceptions\MathMatrixException
*/
public static function createRational(array $data)
{
foreach ($data as &$row) {
foreach ($row as &$item) {
if (!$item instanceof RationalType) {
if (is_array($item) && count($item) == 2) {
$item = RationalTypeFactory::create($item[0], $item[1]);
} elseif (is_string($item)) {
try {
$item = RationalTypeFactory::fromString($item);
} catch (\InvalidArgumentException $e) {
throw new MathMatrixException('Invalid item type for Rational Matrix');
}
} elseif (is_float($item)) {
$item = RationalTypeFactory::fromFloat($item);
} else {
throw new MathMatrixException('Invalid item type for Rational Matrix');
}
}
}
}
return new RationalMatrix($data);
}
/**
* Convert to RationalType
*
* @param mixed $original
*
* @return \Chippyash\Type\Number\Rational\RationalType|\Chippyash\Type\Number\Rational\GMPRationalType
*
* @throws InvalidTypeException
*/
protected static function convertType($original)
{
if ($original instanceof AbstractRationalType) {
return RationalTypeFactory::create($original->numerator()->get(), $original->denominator()->get());
}
if (is_numeric($original)) {
if (is_int($original)) {
return RationalTypeFactory::create($original, 1);
}
//default - convert to float
return RationalTypeFactory::fromFloat(floatval($original));
}
if ($original instanceof FloatType) {
return RationalTypeFactory::fromFloat($original());
}
if ($original instanceof IntType) {
return RationalTypeFactory::create($original, 1);
}
if (is_string($original)) {
try {
return RationalTypeFactory::fromString($original);
} catch (\InvalidArgumentException $e) {
throw new InvalidTypeException("{$original} for Complex type construction");
}
}
$type = gettype($original);
throw new InvalidTypeException("{$type} for Complex type construction");
}
public function testSingleMatrixReturnsValueOfItsSingleEntry()
{
$this->assertEquals(2, $this->object->determinant(new NumericMatrix([2]))->get());
$this->assertEquals('2/5', (string) $this->object->determinant(new RationalMatrix([RationalTypeFactory::fromString('2/5')])));
$this->assertEquals('1+3i', $this->object->determinant(new ComplexMatrix([ComplexTypeFactory::fromString('1+3i')]))->get());
}