Class GMPComplexType

A complex number - algabraic form - GMP version

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 GMPRationalType. 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\GMPComplexType implements chippyash\Type\Interfaces\GMPInterface

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

Methods summary
`public`	# `__construct( chippyash\Type\Number\Rational\GMPRationalType $real, chippyash\Type\Number\Rational\GMPRationalType $imaginary )` Constructor Constructor Parameters `$real` `$imaginary` Overrides `chippyash\Type\AbstractMultiValueType::__construct()`
`public chippyash\Type\Number\Rational\GMPRationalType`	# `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\GMPRationalType` \chippyash\Type\Number\Rational\GMPRationalType
`public chippyash\Type\Number\Rational\GMPRationalType`	# `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\GMPRationalType` \chippyash\Type\Number\Rational\GMPRationalType
`public GMP\|resource`	# `gmp( )` Return the value of number array of gmp resources\|objects Return the value of number array of gmp resources\|objects Returns `GMP\|resource` array [[num,den],[num,den]] Implementation of `chippyash\Type\Interfaces\GMPInterface::gmp()`
`public chippyash\Type\Number\GMPIntType`	# `asGMPIntType( )` Return number as GMPIntType number. If number isReal() will return floor(r()) Return number as GMPIntType number. If number isReal() will return floor(r()) Returns `chippyash\Type\Number\GMPIntType` \chippyash\Type\Number\GMPIntType Throws `chippyash\Type\Exceptions\NotRealComplexException` NotRealComplexException Implementation of `chippyash\Type\Interfaces\GMPInterface::asGMPIntType()`
`public chippyash\Type\Number\Complex\GMPComplexType`	# `asGMPComplex( )` Return the number as a GMPComplex number i.e. a+bi Clones self Return the number as a GMPComplex number i.e. a+bi Clones self Returns `chippyash\Type\Number\Complex\GMPComplexType` \chippyash\Type\Number\Complex\GMPComplexType Implementation of `chippyash\Type\Interfaces\GMPInterface::asGMPComplex()`
`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\GMPRationalType`	# `asGMPRational( )` Return number as GMPRational number. If number isReal() will return GMPRationalType NB, numerator and denominator will be caste as GMPIntTypes Return number as GMPRational number. If number isReal() will return GMPRationalType NB, numerator and denominator will be caste as GMPIntTypes Returns `chippyash\Type\Number\Rational\GMPRationalType` \chippyash\Type\Number\Rational\GMPRationalType Throws `chippyash\Type\Exceptions\NotRealComplexException` NotRealComplexException Implementation of `chippyash\Type\Interfaces\GMPInterface::asGMPRational()`
`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\FloatType`	# `asFloatType( )` Return number as a FloatType number. Return number as a FloatType number. Returns `chippyash\Type\Number\FloatType` \chippyash\Type\Number\FloatType Throws `chippyash\Type\Exceptions\NotRealComplexException` NotRealComplexException Overrides `chippyash\Type\Number\Complex\AbstractComplexType::asFloatType()`

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

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

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Class GMPComplexType

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