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type money = Z.t
type integer = Z.t
type decimal = Q.t
type date = CalendarLib.Date.t
type duration = CalendarLib.Date.Period.t
type source_position = {
filename : string;
start_line : int;
start_column : int;
end_line : int;
end_column : int;
law_headings : string list;
}
exception EmptyError
exception AssertionFailed
exception ConflictError
exception UncomparableDurations
exception IndivisableDurations
exception ImpossibleDate
exception NoValueProvided of source_position
type runtime_value =
| Unit
| Bool of bool
| Money of money
| Integer of integer
| Decimal of decimal
| Date of date
| Duration of duration
| Enum of string list * (string * runtime_value)
| Struct of string list * (string * runtime_value) list
| Array of runtime_value Array.t
| Unembeddable
let unembeddable _ = Unembeddable
let embed_unit () = Unit
let embed_bool x = Bool x
let embed_money x = Money x
let embed_integer x = Integer x
let embed_decimal x = Decimal x
let embed_date x = Date x
let embed_duration x = Duration x
let embed_array f x = Array (Array.map f x)
type event =
| BeginCall of string list
| EndCall of string list
| VariableDefinition of string list * runtime_value
| DecisionTaken of source_position
let log_ref : event list ref = ref []
let reset_log () = log_ref := []
let retrieve_log () = List.rev !log_ref
let log_begin_call info f x =
log_ref := BeginCall info :: !log_ref;
f x
let log_end_call info x =
log_ref := EndCall info :: !log_ref;
x
let log_variable_definition (info : string list) embed (x : 'a) =
log_ref := VariableDefinition (info, embed x) :: !log_ref;
x
let log_decision_taken pos x =
if x then log_ref := DecisionTaken pos :: !log_ref;
x
let money_of_cents_string (cents : string) : money = Z.of_string cents
let money_of_units_int (units : int) : money = Z.(of_int units * of_int 100)
let money_of_cents_integer (cents : integer) : money = cents
let money_to_float (m : money) : float = Z.to_float m /. 100.
let money_to_string (m : money) : string =
Format.asprintf "%.2f" Q.(to_float (of_bigint m / of_int 100))
let money_to_cents m = m
let decimal_of_string (d : string) : decimal = Q.of_string d
let decimal_to_float (d : decimal) : float = Q.to_float d
let decimal_of_float (d : float) : decimal = Q.of_float d
let decimal_of_integer (d : integer) : decimal = Q.of_bigint d
let decimal_to_string ~(max_prec_digits : int) (i : decimal) : string =
let sign = Q.sign i in
let n = Z.abs (Q.num i) in
let d = Z.abs (Q.den i) in
let int_part = Z.ediv n d in
let n = ref (Z.erem n d) in
let digits = ref [] in
let leading_zeroes (digits : Z.t list) : int =
match
List.fold_right
(fun digit num_leading_zeroes ->
match num_leading_zeroes with
| `End _ -> num_leading_zeroes
| `Begin i -> if Z.(digit = zero) then `Begin (i + 1) else `End i)
digits (`Begin 0)
with
| `End i -> i
| `Begin i -> i
in
while !n <> Z.zero && List.length !digits - leading_zeroes !digits < max_prec_digits do
n := Z.mul !n (Z.of_int 10);
digits := Z.ediv !n d :: !digits;
n := Z.erem !n d
done;
Format.asprintf "%s%a.%a%s"
(if sign < 0 then "-" else "")
Z.pp_print int_part
(Format.pp_print_list
~pp_sep:(fun _fmt () -> ())
(fun fmt digit -> Format.fprintf fmt "%a" Z.pp_print digit))
(List.rev !digits)
(if List.length !digits - leading_zeroes !digits = max_prec_digits then "…" else "")
let integer_of_string (s : string) : integer = Z.of_string s
let integer_to_string (i : integer) : string = Z.to_string i
let integer_to_int (i : integer) : int = Z.to_int i
let integer_of_int (i : int) : integer = Z.of_int i
let integer_exponentiation (i : integer) (e : int) : integer = Z.pow i e
let integer_log2 = Z.log2
let year_of_date (d : date) : integer = Z.of_int (CalendarLib.Date.year d)
let month_number_of_date (d : date) : integer =
Z.of_int (CalendarLib.Date.int_of_month (CalendarLib.Date.month d))
let day_of_month_of_date (d : date) : integer = Z.of_int (CalendarLib.Date.day_of_month d)
let date_of_numbers (year : int) (month : int) (day : int) : date =
try CalendarLib.Date.make year month day with _ -> raise ImpossibleDate
let date_to_string (d : date) : string = CalendarLib.Printer.Date.to_string d
let duration_of_numbers (year : int) (month : int) (day : int) : duration =
CalendarLib.Date.Period.make year month day
let duration_to_string (d : duration) : string =
let x, y, z = CalendarLib.Date.Period.ymd d in
let to_print = List.filter (fun (a, _) -> a <> 0) [ (x, "years"); (y, "months"); (z, "days") ] in
match to_print with
| [] -> "empty duration"
| _ ->
Format.asprintf "%a"
(Format.pp_print_list
~pp_sep:(fun fmt () -> Format.fprintf fmt ",@ ")
(fun fmt (d, l) -> Format.fprintf fmt "%d %s" d l))
to_print
let duration_to_years_months_days (d : duration) : int * int * int = CalendarLib.Date.Period.ymd d
let handle_default : 'a. (unit -> 'a) array -> (unit -> bool) -> (unit -> 'a) -> 'a =
fun exceptions just cons ->
let except =
Array.fold_left
(fun acc except ->
let new_val = try Some (except ()) with EmptyError -> None in
match (acc, new_val) with
| None, _ -> new_val
| Some _, None -> acc
| Some _, Some _ -> raise ConflictError)
None exceptions
in
match except with Some x -> x | None -> if just () then cons () else raise EmptyError
let no_input : unit -> 'a = fun _ -> raise EmptyError
let ( *$ ) (i1 : money) (i2 : decimal) : money =
let rat_result = Q.mul (Q.of_bigint i1) i2 in
let res, remainder = Z.div_rem (Q.num rat_result) (Q.den rat_result) in
if Z.(of_int 2 * remainder >= Q.den rat_result) then Z.add res (Z.of_int 1) else res
let ( /$ ) (m1 : money) (m2 : money) : decimal =
if Z.zero = m2 then raise Division_by_zero else Q.div (Q.of_bigint m1) (Q.of_bigint m2)
let ( +$ ) (m1 : money) (m2 : money) : money = Z.add m1 m2
let ( -$ ) (m1 : money) (m2 : money) : money = Z.sub m1 m2
let ( ~-$ ) (m1 : money) : money = Z.sub Z.zero m1
let ( +! ) (i1 : integer) (i2 : integer) : integer = Z.add i1 i2
let ( -! ) (i1 : integer) (i2 : integer) : integer = Z.sub i1 i2
let ( ~-! ) (i1 : integer) : integer = Z.sub Z.zero i1
let ( *! ) (i1 : integer) (i2 : integer) : integer = Z.mul i1 i2
let ( /! ) (i1 : integer) (i2 : integer) : integer =
if Z.zero = i2 then raise Division_by_zero else Z.div i1 i2
let ( +& ) (i1 : decimal) (i2 : decimal) : decimal = Q.add i1 i2
let ( -& ) (i1 : decimal) (i2 : decimal) : decimal = Q.sub i1 i2
let ( ~-& ) (i1 : decimal) : decimal = Q.sub Q.zero i1
let ( *& ) (i1 : decimal) (i2 : decimal) : decimal = Q.mul i1 i2
let ( /& ) (i1 : decimal) (i2 : decimal) : decimal =
if Q.zero = i2 then raise Division_by_zero else Q.div i1 i2
let ( +@ ) (d1 : date) (d2 : duration) : date = CalendarLib.Date.add d1 d2
let ( -@ ) (d1 : date) (d2 : date) : duration = CalendarLib.Date.sub d1 d2
let ( +^ ) (d1 : duration) (d2 : duration) : duration = CalendarLib.Date.Period.add d1 d2
let ( -^ ) (d1 : duration) (d2 : duration) : duration = CalendarLib.Date.Period.sub d1 d2
let ( /^ ) (d1 : duration) (d2 : duration) : decimal =
try
let nb_day1 = CalendarLib.Date.Period.nb_days d1 in
let nb_day2 = CalendarLib.Date.Period.nb_days d2 in
if 0 = nb_day2 then raise Division_by_zero else Q.(nb_day1 // nb_day2)
with CalendarLib.Date.Period.Not_computable -> raise IndivisableDurations
let ( <=$ ) (m1 : money) (m2 : money) : bool = Z.compare m1 m2 <= 0
let ( >=$ ) (m1 : money) (m2 : money) : bool = Z.compare m1 m2 >= 0
let ( <$ ) (m1 : money) (m2 : money) : bool = Z.compare m1 m2 < 0
let ( >$ ) (m1 : money) (m2 : money) : bool = Z.compare m1 m2 > 0
let ( =$ ) (m1 : money) (m2 : money) : bool = Z.compare m1 m2 = 0
let ( >=! ) (i1 : integer) (i2 : integer) : bool = Z.compare i1 i2 >= 0
let ( <=! ) (i1 : integer) (i2 : integer) : bool = Z.compare i1 i2 <= 0
let ( >! ) (i1 : integer) (i2 : integer) : bool = Z.compare i1 i2 > 0
let ( <! ) (i1 : integer) (i2 : integer) : bool = Z.compare i1 i2 < 0
let ( =! ) (i1 : integer) (i2 : integer) : bool = Z.compare i1 i2 = 0
let ( >=& ) (i1 : decimal) (i2 : decimal) : bool = Q.compare i1 i2 >= 0
let ( <=& ) (i1 : decimal) (i2 : decimal) : bool = Q.compare i1 i2 <= 0
let ( >& ) (i1 : decimal) (i2 : decimal) : bool = Q.compare i1 i2 > 0
let ( <& ) (i1 : decimal) (i2 : decimal) : bool = Q.compare i1 i2 < 0
let ( =& ) (i1 : decimal) (i2 : decimal) : bool = Q.compare i1 i2 = 0
let ( >=@ ) (d1 : date) (d2 : date) : bool = CalendarLib.Date.compare d1 d2 >= 0
let ( <=@ ) (d1 : date) (d2 : date) : bool = CalendarLib.Date.compare d1 d2 <= 0
let ( >@ ) (d1 : date) (d2 : date) : bool = CalendarLib.Date.compare d1 d2 > 0
let ( <@ ) (d1 : date) (d2 : date) : bool = CalendarLib.Date.compare d1 d2 < 0
let ( =@ ) (d1 : date) (d2 : date) : bool = CalendarLib.Date.compare d1 d2 = 0
let compare_periods (p1 : CalendarLib.Date.Period.t) (p2 : CalendarLib.Date.Period.t) : int =
try
let p1_days = CalendarLib.Date.Period.nb_days p1 in
let p2_days = CalendarLib.Date.Period.nb_days p2 in
compare p1_days p2_days
with CalendarLib.Date.Period.Not_computable -> raise UncomparableDurations
let ( >=^ ) (d1 : duration) (d2 : duration) : bool = compare_periods d1 d2 >= 0
let ( <=^ ) (d1 : duration) (d2 : duration) : bool = compare_periods d1 d2 <= 0
let ( >^ ) (d1 : duration) (d2 : duration) : bool = compare_periods d1 d2 > 0
let ( <^ ) (d1 : duration) (d2 : duration) : bool = compare_periods d1 d2 < 0
let ( =^ ) (d1 : duration) (d2 : duration) : bool = compare_periods d1 d2 = 0
let ( ~-^ ) (d1 : duration) : duration = CalendarLib.Date.Period.opp d1
let array_filter (f : 'a -> bool) (a : 'a array) : 'a array =
Array.of_list (List.filter f (Array.to_list a))
let array_length (a : 'a array) : integer = Z.of_int (Array.length a)