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88 lines
2.3 KiB
OCaml
88 lines
2.3 KiB
OCaml
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(* ~tot~ always contains ~x+y+z~. *)
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(* [[file:~/QCaml/common/powers.org::*Type][Type:2]] *)
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type t = {
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x : int ;
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y : int ;
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z : int ;
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tot : int ;
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}
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(* Type:2 ends here *)
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(* Example:
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* #+begin_example
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* Powers.of_int_tuple (2,3,1);;
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* - : Powers.t = x^2 + y^3 + z^1
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*
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* Powers.(to_int_tuple (of_int_tuple (2,3,1)));;
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* - : int * int * int = (2, 3, 1)
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* #+end_example *)
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(* [[file:~/QCaml/common/powers.org::*Conversions][Conversions:2]] *)
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let of_int_tuple t =
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let result =
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match t with
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| (x,y,z) -> { x ; y ; z ; tot=x+y+z }
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in
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if result.x < 0 ||
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result.y < 0 ||
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result.z < 0 ||
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result.tot < 0 then
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invalid_arg (__FILE__^": of_int_tuple");
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result
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let to_int_tuple { x ; y ; z ; _ } = (x,y,z)
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(* Conversions:2 ends here *)
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(* | ~get~ | Returns the value of the power for $x$, $y$ or $z$
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* | ~incr~ | Returns a new ~Powers.t~ with the power on the given axis incremented |
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* | ~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|
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*
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* Example:
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* #+begin_example
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* Powers.get Coordinate.Y (Powers.of_int_tuple (2,3,1));;
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* - : int = 3
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*
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* Powers.incr Coordinate.Y (Powers.of_int_tuple (2,3,1));;
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* - : Powers.t = x^2 + y^4 + z^1
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*
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* Powers.decr Coordinate.Y (Powers.of_int_tuple (2,3,1));;
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* - : Powers.t = x^2 + y^2 + z^1
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* #+end_example *)
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(* [[file:~/QCaml/common/powers.org::*Operations][Operations:2]] *)
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let get coord t =
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match coord with
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| Coordinate.X -> t.x
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| Coordinate.Y -> t.y
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| Coordinate.Z -> t.z
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let incr coord t =
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match coord with
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| Coordinate.X -> let r = t.x+1 in { t with x = r ; tot = t.tot+1 }
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| Coordinate.Y -> let r = t.y+1 in { t with y = r ; tot = t.tot+1 }
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| Coordinate.Z -> let r = t.z+1 in { t with z = r ; tot = t.tot+1 }
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let decr coord t =
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match coord with
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| Coordinate.X -> let r = t.x-1 in { t with x = r ; tot = t.tot-1 }
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| Coordinate.Y -> let r = t.y-1 in { t with y = r ; tot = t.tot-1 }
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| Coordinate.Z -> let r = t.z-1 in { t with z = r ; tot = t.tot-1 }
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(* Operations:2 ends here *)
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(* [[file:~/QCaml/common/powers.org::*Printers][Printers:2]] *)
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let pp ppf t =
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Format.fprintf ppf "@[x^%d + y^%d + z^%d@]" t.x t.y t.z
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(* Printers:2 ends here *)
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