10
1
mirror of https://gitlab.com/scemama/QCaml.git synced 2024-12-23 04:43:32 +01:00
QCaml/common/powers.org

3.2 KiB

Powers

Contains powers of $x$, $y$ and $z$ describing the polynomials in atomic basis sets.

Type

<<<~Powers.t~>>>

type t = private {
x   : int ;
y   : int ;
z   : int ;
tot : int ;
}

tot always contains x+y+z.

Conversions

val of_int_tuple : int * int * int -> t
val to_int_tuple : t -> int * int * int

Example:

Powers.of_int_tuple (2,3,1);;
- : Powers.t = x^2 + y^3 + z^1

Powers.(to_int_tuple (of_int_tuple (2,3,1)));;
- : int * int * int = (2, 3, 1)

Operations

val get  : Coordinate.axis -> t -> int
val incr : Coordinate.axis -> t -> t
val decr : Coordinate.axis -> t -> t
get Returns the value of the power for $x$, $y$ or $z$
incr Returns a new Powers.t with the power on the given axis incremented
decr Returns a new Powers.t with the power on the given axis decremented. As opposed to of_int_tuple, the values may become negative

Example:

Powers.get Coordinate.Y (Powers.of_int_tuple (2,3,1));;
- : int = 3

Powers.incr Coordinate.Y (Powers.of_int_tuple (2,3,1));;
- : Powers.t = x^2 + y^4 + z^1

Powers.decr Coordinate.Y (Powers.of_int_tuple (2,3,1));;
- : Powers.t = x^2 + y^2 + z^1

Printers

val pp : Format.formatter -> t -> unit