ComplexNumbers

A module for complex numbers

Types

type Real r

= Real r

Real portion

type Imaginary i

= Imaginary i

Imaginary portion

type ComplexNumberCartesian a

= ComplexNumberCartesian (Real a) (Imaginary a)

Cartesian representation of a complex number

Arithmetic operations on complex numbers

i : ComplexNumberCartesian number

The number i

zero : ComplexNumberCartesian number

zero

one : ComplexNumberCartesian number

one

realPart : ComplexNumberCartesian a -> a

Extracts the real part of a complex number

imaginaryPart : ComplexNumberCartesian a -> a

Extracts the imaginary part of a complex number

add :

ComplexNumberCartesian number

-> ComplexNumberCartesian number

Add two complex numbers together

sum : Monoid (ComplexNumberCartesian number)

Monoidally add two complex numbers together

multiply :

ComplexNumberCartesian Float

-> ComplexNumberCartesian Float

Multiply two complex numbers together

product : Monoid (ComplexNumberCartesian Float)

Monoidally multiply two complex numbers together

subtract :

ComplexNumberCartesian number

-> ComplexNumberCartesian number

Subtract two complex numbers together

divide :

ComplexNumberCartesian Float

-> ComplexNumberCartesian Float

Divide two complex numbers together

modulus : ComplexNumberCartesian Float -> Float

Calculate the modulus of a complex number

conjugate : ComplexNumberCartesian number -> ComplexNumberCartesian number

Calculate the conjugate of a complex number

convertFromCartesianToPolar : ComplexNumberCartesian Float -> ComplexNumberPolar Float

Convert from the Cartesian representation of a complex number to the polar representation

convertFromPolarToCartesian : ComplexNumberPolar Float -> ComplexNumberCartesian Float

Convert from the polar representation of a complex number to the Cartesian representation

mapCartesian : (a -> b) -> ComplexNumberCartesian a -> ComplexNumberCartesian b

Map over a complex number

pureCartesian : a -> ComplexNumberCartesian a

Place a value in the minimal Complex Number Cartesian context

applyCartesian :

ComplexNumberCartesian (a -> b)

-> ComplexNumberCartesian a

-> ComplexNumberCartesian b

Apply for Complex Number Cartesian representaiton applicative

bindCartesian :

ComplexNumberCartesian a

-> (a -> ComplexNumberCartesian b)

-> ComplexNumberCartesian b

Monadic bind for Complex Number Cartesian representaiton

equal :

ComplexNumberCartesian Float

-> ComplexNumberCartesian Float

-> Bool

Compare two ComplexNumbers for equality

power :

Float

-> ComplexNumberCartesian Float

Calculate a complex number raised to a power

read : String -> Result (List DeadEnd) (ComplexNumberCartesian Float)

Read ComplexNumber

print : ComplexNumberCartesian Float -> String

Print ComplexNumber

Modules

ComplexNumbers

jonathanfishbein1/complex-numbers/4.1.0

ComplexNumbers

Types

Arithmetic operations on complex numbers

Modules