Stdlib.Complex
Complex numbers.
This module provides arithmetic operations on complex numbers. Complex numbers are represented by their real and imaginary parts (cartesian representation). Each part is represented by a double-precision floating-point number (type float
).
The type of complex numbers. re
is the real part and im
the imaginary part.
let zero: t;
The complex number 0
.
let one: t;
The complex number 1
.
let i: t;
The complex number i
.
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.
let norm2: t => float;
Norm squared: given x + i.y
, returns x^2 + y^2
.
let norm: t => float;
Norm: given x + i.y
, returns sqrt(x^2 + y^2)
.
let arg: 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.
let polar: float => float => t;
polar norm arg
returns the complex having norm norm
and argument arg
.