Class ComplexType

A complex number - algabraic form

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

Complex numbers use real numbers expressed as a RationalType. This allows for greater arithmetic stability

chippyash\Type\AbstractType implements chippyash\Type\Interfaces\TypeInterface

chippyash\Type\AbstractMultiValueType

chippyash\Type\Number\Complex\AbstractComplexType implements chippyash\Type\Interfaces\ComplexTypeInterface, chippyash\Type\Interfaces\NumericTypeInterface

chippyash\Type\Number\Complex\ComplexType

Namespace: chippyash\Type\Number\Complex
Link: http://en.wikipedia.org/wiki/Complex_number
Located at Number/Complex/ComplexType.php

Methods summary
`public`	# `__construct( chippyash\Type\Number\Rational\RationalType $real, chippyash\Type\Number\Rational\RationalType $imaginary )` Constructor Constructor Parameters `$real` `$imaginary` Overrides `chippyash\Type\AbstractMultiValueType::__construct()`
`public chippyash\Type\Number\Complex\ComplexType`	# `asComplex( )` Return the number as a Complex number i.e. n+0i Return the number as a Complex number i.e. n+0i Returns `chippyash\Type\Number\Complex\ComplexType` \chippyash\Type\Number\Complex\ComplexType
`public chippyash\Type\Number\Rational\RationalType`	# `asRational( )` Return number as Rational number. NB, numerator and denominator will be caste as IntTypes Return number as Rational number. NB, numerator and denominator will be caste as IntTypes Returns `chippyash\Type\Number\Rational\RationalType` \chippyash\Type\Number\Rational\RationalType Throws `chippyash\Type\Exceptions\NotRealComplexException` NotRealComplexException
`public chippyash\Type\Number\Rational\RationalType`	# `modulus( )` Return the modulus, also known as absolute value or magnitude of this number = sqrt(r² + i²); Return the modulus, also known as absolute value or magnitude of this number = sqrt(r² + i²); Returns `chippyash\Type\Number\Rational\RationalType` \chippyash\Type\Number\Rational\RationalType
`public chippyash\Type\Number\Rational\RationalType`	# `theta( )` Return the angle (sometimes known as the argument) of the number when expressed in polar notation Return the angle (sometimes known as the argument) of the number when expressed in polar notation The return value is a rational expressing theta as radians Returns `chippyash\Type\Number\Rational\RationalType` \chippyash\Type\Number\Rational\RationalType

Methods inherited from chippyash\Type\Number\Complex\AbstractComplexType
`__clone(), __invoke(), __toString(), abs(), asFloatType(), asIntType(), asPolar(), conjugate(), i(), isGaussian(), isReal(), isZero(), negate(), polarQuadrant(), polarString(), r(), radius(), toFloat()`

Methods inherited from chippyash\Type\AbstractMultiValueType
`get(), set()`

Namespaces

Classes

Class ComplexType

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