The type of long double complex values

make x y creates the long double complex value x + y * i

create a long double complex from a 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.

0 + i0

1 + i0

0 + i

return the real part of the long double complex

return the imaginary part of the long double complex

Unary negation

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

Addition

Subtraction

Multiplication

Division

Multiplicative inverse (1/z).

Square root.

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

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

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

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.

Exponentiation. exp z returns e to the z power.

Natural logarithm (in base e).

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