Module Stdlib.Complex

Instructions: Use this module in your project

In the IDE (CLion, Visual Studio Code, Xcode, etc.) you use for your DkSDK project:

Add the following to your project's dependencies/CMakeLists.txt:

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DkSDKProject_DeclareAvailable(ocaml
    CONSTRAINT "= 4.14.0"
    FINDLIBS str unix runtime_events threads dynlink)
DkSDKProject_MakeAvailable(ocaml)

Add the Findlib::ocaml library to any desired targets in src/*/CMakeLists.txt:

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target_link_libraries(YourPackage_YourLibraryName
     # ... existing libraries, if any ...
     Findlib::ocaml)

Click your IDE's Build button

Not using DkSDK?

FIRST, do one or all of the following:

Run:
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```
opam install ocaml.4.14.0
```

Edit your dune-project and add:

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(package
  (name YourExistingPackage)
  (depends
  ; ... existing dependenices ...
  (ocaml (>= 4.14.0))))

Then run:

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dune build *.opam # if this fails, run: dune build

Edit your <package>.opam file and add:

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depends: [
  # ... existing dependencies ...
  "ocaml" {>= "4.14.0"}
]

Then run:

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opam install . --deps-only

FINALLY, add the library to any desired (library)and/or (executable) targets in your **/dune files:

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(library
  (name YourLibrary)
  ; ... existing library options ...
  (libraries
    ; ... existing libraries ...
    ))

(executable
  (name YourExecutable)
  ; ... existing executable options ...
  (libraries
    ; ... existing libraries ...
    ))

type t`` = ``{


re : float;

im : float;}

The type of complex numbers. re is the real part and im the imaginary part.

valzero :t

The complex number 0.

valone :t

The complex number 1.

vali :t

The complex number i.

valneg :t -> t

Unary negation.

valconj :t -> t

Conjugate: given the complex x + i.y, returns x - i.y.

valadd :t -> t -> t

Addition

valsub :t -> t -> t

Subtraction

valmul :t -> t -> t

Multiplication

valinv :t -> t

Multiplicative inverse (1/z).

valdiv :t -> t -> t

Division

valsqrt :t -> t

Square root. The result x + i.y is such that x > 0 or x = 0 and y >= 0. This function has a discontinuity along the negative real axis.

valnorm2 :t -> float

Norm squared: given x + i.y, returns x^2 + y^2.

valnorm :t -> float

Norm: given x + i.y, returns sqrt(x^2 + y^2).

valarg :t -> float

Argument. The argument of a complex number is the angle in the complex plane between the positive real axis and a line passing through zero and the number. This angle ranges from -pi to pi. This function has a discontinuity along the negative real axis.

valpolar : ``float->``float-> t

polar norm arg returns the complex having norm norm and argument arg.

valexp :t -> t

Exponentiation. exp z returns e to the z power.

vallog :t -> t

Natural logarithm (in base e).

valpow :t -> t -> t

Power function. pow z1 z2 returns z1 to the z2 power.

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