Arithmetic/Complex: Difference between revisions

=={{header|F#}}==

Entered into an interactive session to show the results:

<lang fsharp>

> open Microsoft.FSharp.Math;;

> let a = complex 1.0 1.0;;

val a : complex = 1r+1i

> let b = complex 3.14159 1.25;;

val b : complex = 3.14159r+1.25i

> a + b;;

val it : Complex = 4.14159r+2.25i {Conjugate = 4.14159r-2.25i;

ImaginaryPart = 2.25;

Magnitude = 4.713307515;

Phase = 0.497661247;

RealPart = 4.14159;

i = 2.25;

r = 4.14159;}

> a * b;;

val it : Complex = 1.89159r+4.39159i {Conjugate = 1.89159r-4.39159i;

ImaginaryPart = 4.39159;

Magnitude = 4.781649868;

Phase = 1.164082262;

RealPart = 1.89159;

i = 4.39159;

r = 1.89159;}

> a / b;;

val it : Complex =

0.384145932435901r+0.165463215905043i

{Conjugate = 0.384145932435901r-0.165463215905043i;

ImaginaryPart = 0.1654632159;

Magnitude = 0.418265673;

Phase = 0.4067140652;

RealPart = 0.3841459324;

i = 0.1654632159;

r = 0.3841459324;}

> -a;;

val it : complex = -1r-1i {Conjugate = -1r+1i;

ImaginaryPart = -1.0;

Magnitude = 1.414213562;

Phase = -2.35619449;

RealPart = -1.0;

i = -1.0;

r = -1.0;}

</lang>