Class ComplexTypeFactory

Static Factory for creating complex types

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, which satisfies the equation i² = −1

chippyash\Type\AbstractTypeFactory

chippyash\Type\Number\Complex\ComplexTypeFactory

Abstract
Namespace: chippyash\Type\Number\Complex
Located at Number/Complex/ComplexTypeFactory.php

Methods summary
`public static chippyash\Type\Number\Complex\ComplexType`	# `create( string\|float\|integer\|chippyash\Type\Number\FloatType\|chippyash\Type\Number\IntType $realPart, float\|integer\|chippyash\Type\Number\FloatType\|chippyash\Type\Number\IntType $imaginaryPart = null )` Complex type factory Complex type factory Construct and return a complex number. You can send in a string conforming to 'a+bi', 'a-bi', '-a+bi', '-a-bi' where a & b are integer or float numbers e.g. '-12+0.67i' mixture of numeric (int,float,'1234' etc), IntType and FloatType corresponding to a & b Parameters `$realPart` `$imaginaryPart` Returns `chippyash\Type\Number\Complex\ComplexType` \chippyash\Type\Number\Complex\ComplexType Throws `InvalidArgumentException` \InvalidArgumentException
`public static chippyash\Type\Number\Complex\ComplexType`	# `fromString( string $string )` Create a complex number from a string in form '[+,-]<num>(+,-)<num>i' The trailing 'i' character is required No spaces are allowed in the string Create a complex number from a string in form '[+,-]<num>(+,-)<num>i' The trailing 'i' character is required No spaces are allowed in the string Parameters `$string` Returns `chippyash\Type\Number\Complex\ComplexType` \chippyash\Type\Number\Complex\ComplexType Throws `InvalidArgumentException` \InvalidArgumentException
`public static chippyash\Type\Number\Complex\ComplexType`	# `fromPolar( chippyash\Type\Number\Rational\AbstractRationalType $radius, chippyash\Type\Number\Rational\AbstractRationalType $theta )` Create complex type from polar co-ordinates Create complex type from polar co-ordinates Be aware that you may lose a bit of precision e.g. $c = ComplexTypeFactory::create('2/7+3/4i'); $c2 = ComplexTypeFactory::fromPolar($c->radius(), $c->theta()); returns 132664833738225/464326918083788+3382204885901775/4509606514535696i which is ~0.2857142857142854066 + ~0.75000000000000066525i whereas the original is ~0.28571428571428571429 + 0.75i formula for conversion is z = r(cos(theta) + i.sin(theta)) Parameters `$radius` `$theta` angle expressed in radians Returns `chippyash\Type\Number\Complex\ComplexType` \chippyash\Type\Number\Complex\ComplexType
`public static chippyash\Type\Number\Complex\ComplexType`	# `fromNativePolar( chippyash\Type\Number\Rational\RationalType $radius, chippyash\Type\Number\Rational\RationalType $theta )` Create complex type from polar co-ordinates - Native version Create complex type from polar co-ordinates - Native version z = radius x (cos(theta) + i.sin(theta)) real = radius x cos(theta) imag = radius x sin(theta) Parameters `$radius` `$theta` angle expressed in radians Returns `chippyash\Type\Number\Complex\ComplexType` \chippyash\Type\Number\Complex\ComplexType
`public static chippyash\Type\Number\Complex\GMPComplexType`	# `fromGmpPolar( chippyash\Type\Number\Rational\GMPRationalType $radius, chippyash\Type\Number\Rational\GMPRationalType $theta )` Create complex type from polar co-ordinates - GMP version Create complex type from polar co-ordinates - GMP version Parameters `$radius` `$theta` angle expressed in radians Returns `chippyash\Type\Number\Complex\GMPComplexType` \chippyash\Type\Number\Complex\GMPComplexType

Methods inherited from chippyash\Type\AbstractTypeFactory
`setNumberType()`

Constants inherited from chippyash\Type\AbstractTypeFactory
`TYPE_DEFAULT, TYPE_GMP, TYPE_NATIVE`

Namespaces

Classes

Class ComplexTypeFactory

Parameters

Returns

Throws

Parameters

Returns

Throws

Parameters

Returns

Parameters

Returns

Parameters

Returns