module ComplexL: sig .. end
The type of long double complex values
type
The type of long double complex values
val make : LDouble.t -> LDouble.t -> t
make x y creates the long double complex value x + y * i
val of_complex : Complex.t -> t
create a long double complex from a Complex.t
val to_complex : t -> Complex.t
Convert a long double complex to a Complex.t. The real and imaginary components
are converted by calling LDouble.to_float which can produce unspecified results.
val zero : t
0 + i0
val one : t
1 + i0
val i : t
0 + i
val re : t -> LDouble.t
return the real part of the long double complex
val im : t -> LDouble.t
return the imaginary part of the long double complex
val neg : t -> t
Unary negation
val conj : t -> t
Conjugate: given the complex x + i.y, returns x - i.y.
val add : t -> t -> t
Addition
val sub : t -> t -> t
Subtraction
val mul : t -> t -> t
Multiplication
val div : t -> t -> t
Division
val inv : t -> t
Multiplicative inverse (1/z).
val sqrt : t -> t
Square root.
val norm2 : t -> LDouble.t
Norm squared: given x + i.y, returns x^2 + y^2.
val norm : t -> LDouble.t
Norm: given x + i.y, returns sqrt(x^2 + y^2).
val polar : LDouble.t -> LDouble.t -> t
polar norm arg returns the complex having norm norm and argument arg.
val arg : t -> LDouble.t
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.
val exp : t -> t
Exponentiation. exp z returns e to the z power.
val log : t -> t
Natural logarithm (in base e).
val pow : t -> t -> t
Power function. pow z1 z2 returns z1 to the z2 power.