Source file span_float.ml
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open! Import
open Std_internal
open! Int.Replace_polymorphic_compare
module Stable = struct
module V1 = struct
module Parts = struct
type t =
{ sign : Sign.t
; hr : int
; min : int
; sec : int
; ms : int
; us : int
; ns : int
}
[@@deriving compare, sexp]
end
module type Like_a_float = sig
type t [@@deriving bin_io, hash, typerep]
include Comparable.S_common with type t := t
include Comparable.With_zero with type t := t
include Floatable with type t := t
val ( + ) : t -> t -> t
val ( - ) : t -> t -> t
val zero : t
val robust_comparison_tolerance : t
val abs : t -> t
val neg : t -> t
val scale : t -> float -> t
end
module T : sig
type underlying = float [@@deriving hash]
type t = private underlying [@@deriving bin_io, hash]
include Like_a_float with type t := t
include Robustly_comparable with type t := t
module Constant : sig
val nanoseconds_per_second : float
val microseconds_per_second : float
val milliseconds_per_second : float
val nanosecond : t
val microsecond : t
val millisecond : t
val second : t
val minute : t
val hour : t
val day : t
end
val to_parts : t -> Parts.t
val next : t -> t
val prev : t -> t
end = struct
type underlying = float [@@deriving hash]
type t = underlying [@@deriving hash]
let next t = Float.one_ulp `Up t
let prev t = Float.one_ulp `Down t
include (
struct
include Float
let sign = sign_exn
end :
Like_a_float with type t := t)
include Float.Robust_compare.Make (struct
let robust_comparison_tolerance = 1E-6
end)
module Constant = struct
let nanoseconds_per_second = 1E9
let microseconds_per_second = 1E6
let milliseconds_per_second = 1E3
let nanosecond = of_float (1. /. nanoseconds_per_second)
let microsecond = of_float (1. /. microseconds_per_second)
let millisecond = of_float (1. /. milliseconds_per_second)
let second = of_float 1.
let minute = of_float 60.
let hour = of_float (60. *. 60.)
let day = of_float (24. *. 60. *. 60.)
end
let to_parts t : Parts.t =
let sign = Float.sign_exn t in
let t = abs t in
let integral = Float.round_down t in
let fractional = t -. integral in
let seconds = Float.iround_down_exn integral in
let nanoseconds = Float.iround_nearest_exn (fractional *. 1E9) in
let seconds, nanoseconds =
if Int.equal nanoseconds 1_000_000_000
then Int.succ seconds, 0
else seconds, nanoseconds
in
let sec = seconds mod 60 in
let minutes = seconds / 60 in
let min = minutes mod 60 in
let hr = minutes / 60 in
let ns = nanoseconds mod 1000 in
let microseconds = nanoseconds / 1000 in
let us = microseconds mod 1000 in
let milliseconds = microseconds / 1000 in
let ms = milliseconds in
{ sign; hr; min; sec; ms; us; ns }
;;
end
let ( / ) t f = T.of_float ((t : T.t :> float) /. f)
let ( // ) (f : T.t) (t : T.t) = (f :> float) /. (t :> float)
let to_ns (x : T.t) = (x :> float) *. T.Constant.nanoseconds_per_second
let to_us (x : T.t) = (x :> float) *. T.Constant.microseconds_per_second
let to_ms (x : T.t) = (x :> float) *. T.Constant.milliseconds_per_second
let to_sec (x : T.t) = (x :> float)
let to_min x = x // T.Constant.minute
let to_hr x = x // T.Constant.hour
let to_day x = x // T.Constant.day
let to_int63_seconds_round_down_exn x = Float.int63_round_down_exn (to_sec x)
let ( ** ) f (t : T.t) = T.of_float (f *. (t :> float))
let of_ns x = T.of_float (x /. T.Constant.nanoseconds_per_second)
let of_us x = T.of_float (x /. T.Constant.microseconds_per_second)
let of_ms x = T.of_float (x /. T.Constant.milliseconds_per_second)
let of_sec x = T.of_float x
let of_int_sec x = of_sec (Float.of_int x)
let of_int32_seconds sec = of_sec (Int32.to_float sec)
let of_int63_seconds sec = of_sec (Int63.to_float sec)
let of_min x = x ** T.Constant.minute
let of_hr x = x ** T.Constant.hour
let of_day x = x ** T.Constant.day
let divide_by_unit_of_time t unit_of_time =
match (unit_of_time : Unit_of_time.t) with
| Nanosecond -> to_ns t
| Microsecond -> to_us t
| Millisecond -> to_ms t
| Second -> to_sec t
| Minute -> to_min t
| Hour -> to_hr t
| Day -> to_day t
;;
let scale_by_unit_of_time float unit_of_time =
match (unit_of_time : Unit_of_time.t) with
| Nanosecond -> of_ns float
| Microsecond -> of_us float
| Millisecond -> of_ms float
| Second -> of_sec float
| Minute -> of_min float
| Hour -> of_hr float
| Day -> of_day float
;;
let create
?(sign = Sign.Pos)
?(day = 0)
?(hr = 0)
?(min = 0)
?(sec = 0)
?(ms = 0)
?(us = 0)
?(ns = 0)
()
=
let ( + ) = T.( + ) in
let t =
of_day (Float.of_int day)
+ of_hr (Float.of_int hr)
+ of_min (Float.of_int min)
+ of_sec (Float.of_int sec)
+ of_ms (Float.of_int ms)
+ of_us (Float.of_int us)
+ of_ns (Float.of_int ns)
in
match sign with
| Neg -> T.( - ) T.zero t
| Pos | Zero -> t
;;
include T
include Constant
let randomize t ~percent = Span_helpers.randomize t ~percent ~scale
let to_short_string t =
let ({ sign; hr; min; sec; ms; us; ns } : Parts.t) = to_parts t in
Span_helpers.short_string ~sign ~hr ~min ~sec ~ms ~us ~ns
;;
let of_string_v1_v2 (s : string) ~is_v2 =
try
match s with
| "" -> failwith "empty string"
| _ ->
let float n =
match String.drop_suffix s n with
| "" -> failwith "no number given"
| s ->
let v = Float.of_string s in
Validate.maybe_raise (Float.validate_ordinary v);
v
in
let len = String.length s in
(match s.[Int.( - ) len 1] with
| 's' ->
if Int.( >= ) len 2 && Char.( = ) s.[Int.( - ) len 2] 'm'
then of_ms (float 2)
else if is_v2 && Int.( >= ) len 2 && Char.( = ) s.[Int.( - ) len 2] 'u'
then of_us (float 2)
else if is_v2 && Int.( >= ) len 2 && Char.( = ) s.[Int.( - ) len 2] 'n'
then of_ns (float 2)
else T.of_float (float 1)
| 'm' -> of_min (float 1)
| 'h' -> of_hr (float 1)
| 'd' -> of_day (float 1)
| _ ->
if is_v2
then failwith "Time spans must end in ns, us, ms, s, m, h, or d."
else failwith "Time spans must end in ms, s, m, h, or d.")
with
| exn ->
invalid_argf "Span.of_string could not parse '%s': %s" s (Exn.to_string exn) ()
;;
let of_sexp_error_exn exn sexp = of_sexp_error (Exn.to_string exn) sexp
exception T_of_sexp of Sexp.t * exn [@@deriving sexp]
exception T_of_sexp_expected_atom_but_got of Sexp.t [@@deriving sexp]
let t_of_sexp_v1_v2 sexp ~is_v2 =
match sexp with
| Sexp.Atom x ->
(try of_string_v1_v2 x ~is_v2 with
| exn -> of_sexp_error_exn (T_of_sexp (sexp, exn)) sexp)
| Sexp.List _ -> of_sexp_error_exn (T_of_sexp_expected_atom_but_got sexp) sexp
;;
let string ~is_v2 suffix float =
if is_v2
then !Sexplib.Conv.default_string_of_float float ^ suffix
else sprintf "%g%s" float suffix
;;
let to_string_v1_v2 (t : T.t) ~is_v2 =
let module C = Float.Class in
match Float.classify (t :> float) with
| C.Subnormal | C.Zero -> "0s"
| C.Infinite -> if T.( > ) t T.zero then "inf" else "-inf"
| C.Nan -> "nan"
| C.Normal ->
let ( < ) = T.( < ) in
let abs_t = T.of_float (Float.abs (t :> float)) in
if is_v2 && abs_t < T.Constant.microsecond
then string ~is_v2 "ns" (to_ns t)
else if is_v2 && abs_t < T.Constant.millisecond
then string ~is_v2 "us" (to_us t)
else if abs_t < T.Constant.second
then string ~is_v2 "ms" (to_ms t)
else if abs_t < T.Constant.minute
then string ~is_v2 "s" (to_sec t)
else if abs_t < T.Constant.hour
then string ~is_v2 "m" (to_min t)
else if abs_t < T.Constant.day
then string ~is_v2 "h" (to_hr t)
else string ~is_v2 "d" (to_day t)
;;
let sexp_of_t_v1_v2 t ~is_v2 = Sexp.Atom (to_string_v1_v2 t ~is_v2)
let t_of_sexp sexp = t_of_sexp_v1_v2 sexp ~is_v2:false
let sexp_of_t t = sexp_of_t_v1_v2 t ~is_v2:false
end
module V2 = struct
include V1
let t_of_sexp sexp = t_of_sexp_v1_v2 sexp ~is_v2:true
let sexp_of_t t = sexp_of_t_v1_v2 t ~is_v2:true
end
module V3 = struct
include V1
let to_unit_of_time t : Unit_of_time.t =
let open T in
let open Constant in
let abs_t = T.abs t in
if abs_t >= day
then Day
else if abs_t >= hour
then Hour
else if abs_t >= minute
then Minute
else if abs_t >= second
then Second
else if abs_t >= millisecond
then Millisecond
else if abs_t >= microsecond
then Microsecond
else Nanosecond
;;
let of_unit_of_time : Unit_of_time.t -> T.t =
let open T.Constant in
function
| Nanosecond -> nanosecond
| Microsecond -> microsecond
| Millisecond -> millisecond
| Second -> second
| Minute -> minute
| Hour -> hour
| Day -> day
;;
let suffix_of_unit_of_time unit_of_time =
match (unit_of_time : Unit_of_time.t) with
| Nanosecond -> "ns"
| Microsecond -> "us"
| Millisecond -> "ms"
| Second -> "s"
| Minute -> "m"
| Hour -> "h"
| Day -> "d"
;;
module Of_string = struct
let invalid_string string ~reason =
let message = "Time.Span.of_string: " ^ reason in
raise_s [%message message string]
;;
let rec find_unit_of_time_by_suffix string ~index unit_of_time_list =
match unit_of_time_list with
| [] -> invalid_string string ~reason:"invalid span part suffix"
| unit_of_time :: rest ->
let suffix = suffix_of_unit_of_time unit_of_time in
if String.is_substring_at string ~pos:index ~substring:suffix
then unit_of_time
else find_unit_of_time_by_suffix string ~index rest
;;
let parse_suffix string ~index =
find_unit_of_time_by_suffix string ~index Unit_of_time.all
;;
module Float_parser = struct
type state =
| In_integer_need_digit
| In_integer_have_digit
| In_decimal_need_digit
| In_decimal_have_digit
| In_exponent_need_digit_or_sign
| In_exponent_need_digit
| In_exponent_have_digit
type token =
| Digit
| Point
| Under
| Sign
| Expt
let state_is_final = function
| In_integer_have_digit | In_decimal_have_digit | In_exponent_have_digit ->
true
| In_integer_need_digit
| In_decimal_need_digit
| In_exponent_need_digit_or_sign
| In_exponent_need_digit -> false
;;
let token_of_char = function
| '0' .. '9' -> Some Digit
| '.' -> Some Point
| '_' -> Some Under
| '-' | '+' -> Some Sign
| 'E' | 'e' -> Some Expt
| _ -> None
;;
let invalid_string string =
invalid_string string ~reason:"invalid span part magnitude"
;;
let rec find_index_after_float_in_state string ~index ~len ~state =
let open Int.O in
if index = len
then if state_is_final state then index else invalid_string string
else (
match token_of_char string.[index] with
| None -> if state_is_final state then index else invalid_string string
| Some token ->
let state =
match state, token with
| In_integer_need_digit, Digit -> In_integer_have_digit
| In_integer_need_digit, Point -> In_decimal_need_digit
| In_integer_need_digit, Under
| In_integer_need_digit, Sign
| In_integer_need_digit, Expt -> invalid_string string
| In_integer_have_digit, Digit
| In_integer_have_digit, Under -> In_integer_have_digit
| In_integer_have_digit, Point -> In_decimal_have_digit
| In_integer_have_digit, Expt -> In_exponent_need_digit_or_sign
| In_integer_have_digit, Sign -> invalid_string string
| In_decimal_need_digit, Digit -> In_decimal_have_digit
| In_decimal_need_digit, Point
| In_decimal_need_digit, Under
| In_decimal_need_digit, Expt
| In_decimal_need_digit, Sign -> invalid_string string
| In_decimal_have_digit, Digit
| In_decimal_have_digit, Under -> In_decimal_have_digit
| In_decimal_have_digit, Expt -> In_exponent_need_digit_or_sign
| In_decimal_have_digit, Point
| In_decimal_have_digit, Sign -> invalid_string string
| In_exponent_need_digit_or_sign, Digit -> In_exponent_have_digit
| In_exponent_need_digit_or_sign, Sign -> In_exponent_need_digit
| In_exponent_need_digit_or_sign, Point
| In_exponent_need_digit_or_sign, Under
| In_exponent_need_digit_or_sign, Expt -> invalid_string string
| In_exponent_need_digit, Digit -> In_exponent_have_digit
| In_exponent_need_digit, Point
| In_exponent_need_digit, Under
| In_exponent_need_digit, Expt
| In_exponent_need_digit, Sign -> invalid_string string
| In_exponent_have_digit, Digit
| In_exponent_have_digit, Under -> In_exponent_have_digit
| In_exponent_have_digit, Point
| In_exponent_have_digit, Expt
| In_exponent_have_digit, Sign -> invalid_string string
in
find_index_after_float_in_state string ~index:(index + 1) ~len ~state)
;;
let find_index_after_float string ~index ~len =
find_index_after_float_in_state string ~index ~len ~state:In_integer_need_digit
;;
end
let rec accumulate_magnitude string ~magnitude ~index ~len =
if Int.equal index len
then magnitude
else (
let suffix_index = Float_parser.find_index_after_float string ~index ~len in
let unit_of_time = parse_suffix string ~index:suffix_index in
let until_index =
Int.( + ) suffix_index (String.length (suffix_of_unit_of_time unit_of_time))
in
let float_string =
String.sub string ~pos:index ~len:(Int.( - ) suffix_index index)
in
let float = Float.of_string float_string in
let magnitude = magnitude + scale_by_unit_of_time float unit_of_time in
accumulate_magnitude string ~magnitude ~index:until_index ~len)
;;
let parse_magnitude string ~index ~len =
accumulate_magnitude string ~magnitude:T.zero ~index ~len
;;
let of_string string =
let open Int.O in
match string with
| "NANs" -> of_sec Float.nan
| "-INFs" -> of_sec Float.neg_infinity
| "INFs" -> of_sec Float.infinity
| _ ->
let len = String.length string in
if len = 0 then invalid_string string ~reason:"empty input";
let negative, index =
match string.[0] with
| '-' -> true, 1
| '+' -> false, 1
| _ -> false, 0
in
if index >= len then invalid_string string ~reason:"empty input";
let magnitude = parse_magnitude string ~index ~len in
if negative then T.neg magnitude else magnitude
;;
end
let of_string = Of_string.of_string
module To_string = struct
let string_of_float_without_trailing_decimal float =
let string = Float.to_string float in
let suffix = "." in
if String.is_suffix string ~suffix
then String.chop_suffix_exn string ~suffix
else string
;;
let sum ~sum_t ~unit_of_time ~magnitude =
sum_t + scale_by_unit_of_time magnitude unit_of_time
;;
let to_float_string ~abs_t ~unit_of_time ~fixup_unit_of_time =
let magnitude = divide_by_unit_of_time abs_t unit_of_time in
let sum_t = sum ~sum_t:zero ~unit_of_time ~magnitude in
if sum_t = abs_t
then
string_of_float_without_trailing_decimal magnitude
^ suffix_of_unit_of_time unit_of_time
else (
let magnitude =
if sum_t < abs_t
then magnitude
else divide_by_unit_of_time (prev abs_t) unit_of_time
in
let sum_t = sum ~sum_t:zero ~unit_of_time ~magnitude in
let rem_t = abs_t - sum_t in
let fixup_magnitude = divide_by_unit_of_time rem_t fixup_unit_of_time in
string_of_float_without_trailing_decimal magnitude
^ suffix_of_unit_of_time unit_of_time
^ sprintf "%.1g" fixup_magnitude
^ suffix_of_unit_of_time fixup_unit_of_time)
;;
let to_int_string_and_sum unit_of_time ~abs_t ~sum_t =
let unit_span = of_unit_of_time unit_of_time in
let rem_t = abs_t - sum_t in
let magnitude = Float.round_down (rem_t // unit_span) in
let new_sum_t = sum ~sum_t ~unit_of_time ~magnitude in
let new_rem_t = abs_t - new_sum_t in
let magnitude =
if new_rem_t = zero
then magnitude
else if new_rem_t < zero
then magnitude -. 1.
else (
let next_magnitude = magnitude +. 1. in
let next_sum_t = sum ~sum_t ~unit_of_time ~magnitude:next_magnitude in
let next_rem_t = abs_t - next_sum_t in
if next_rem_t < zero then magnitude else next_magnitude)
in
if Float.( <= ) magnitude 0.
then "", sum_t
else (
let new_sum_t = sum ~sum_t ~unit_of_time ~magnitude in
let string =
Int63.to_string (Int63.of_float magnitude)
^ suffix_of_unit_of_time unit_of_time
in
string, new_sum_t)
;;
let decimal_order_of_magnitude t = Float.log10 (to_sec t)
let to_float_string_after_int_strings ~sum_t ~abs_t =
if sum_t >= abs_t
then ""
else (
let rem_t = abs_t - sum_t in
let unit_of_time = to_unit_of_time rem_t in
let unit_span = of_unit_of_time unit_of_time in
let magnitude = rem_t // unit_span in
let new_sum_t = sum ~sum_t ~unit_of_time ~magnitude in
let new_rem_t = abs_t - new_sum_t in
if abs rem_t <= abs new_rem_t
then ""
else (
let order_of_magnitude_of_first_digit =
Float.iround_down_exn (decimal_order_of_magnitude rem_t)
in
let half_ulp = (abs_t - prev abs_t) / 2. in
let order_of_magnitude_of_final_digit =
Int.pred (Float.iround_up_exn (decimal_order_of_magnitude half_ulp))
in
let number_of_digits =
let open Int.O in
1 + order_of_magnitude_of_first_digit - order_of_magnitude_of_final_digit
in
let suffix = suffix_of_unit_of_time unit_of_time in
sprintf "%.*g" number_of_digits magnitude ^ suffix))
;;
let ( ^? ) x y =
if String.is_empty x then y else if String.is_empty y then x else x ^ y
;;
let to_string t =
let float = to_float t in
if not (Float.is_finite float)
then
if
Float.is_nan float
then "NANs"
else if Float.is_negative float
then "-INFs"
else "INFs"
else if t = zero
then "0s"
else (
let unit_of_time = to_unit_of_time t in
let abs_t = abs t in
let sign = if t < zero then "-" else "" in
let magnitude_string =
match unit_of_time with
| Nanosecond | Microsecond | Millisecond | Second ->
to_float_string ~abs_t ~unit_of_time ~fixup_unit_of_time:Nanosecond
| Day
when next abs_t - abs_t >= day ->
to_float_string ~abs_t ~unit_of_time ~fixup_unit_of_time:Day
| Minute | Hour | Day ->
let sum_t = zero in
let day_string, sum_t = to_int_string_and_sum ~abs_t ~sum_t Day in
let hour_string, sum_t = to_int_string_and_sum ~abs_t ~sum_t Hour in
let minute_string, sum_t = to_int_string_and_sum ~abs_t ~sum_t Minute in
let float_string = to_float_string_after_int_strings ~abs_t ~sum_t in
day_string ^? hour_string ^? minute_string ^? float_string
in
sign ^? magnitude_string)
;;
end
let to_string = To_string.to_string
let sexp_of_t t = Sexp.Atom (to_string t)
let t_of_sexp s =
match s with
| Sexp.Atom x ->
(try of_string x with
| exn -> of_sexp_error (Exn.to_string exn) s)
| Sexp.List _ ->
of_sexp_error "Time.Span.Stable.V3.t_of_sexp: sexp must be an Atom" s
;;
end
end
include Stable.V3
let to_proportional_float = to_float
let to_string_hum
?(delimiter = '_')
?(decimals = 3)
?(align_decimal = false)
?unit_of_time
t
=
let float, suffix =
match Option.value unit_of_time ~default:(to_unit_of_time t) with
| Day -> to_day t, "d"
| Hour -> to_hr t, "h"
| Minute -> to_min t, "m"
| Second -> to_sec t, "s"
| Millisecond -> to_ms t, "ms"
| Microsecond -> to_us t, "us"
| Nanosecond -> to_ns t, "ns"
in
let prefix =
Float.to_string_hum float ~delimiter ~decimals ~strip_zero:(not align_decimal)
in
let suffix =
if align_decimal && Int.( = ) (String.length suffix) 1 then suffix ^ " " else suffix
in
prefix ^ suffix
;;
include Pretty_printer.Register (struct
type nonrec t = t
let to_string = to_string
let module_name = "Core_kernel.Time.Span"
end)
include Hashable.Make_binable (struct
type nonrec t = t [@@deriving bin_io, compare, hash, sexp_of]
let t_of_sexp sexp =
match Float.t_of_sexp sexp with
| float -> of_float float
| exception _ -> t_of_sexp sexp
;;
end)
module C = struct
type t = T.t [@@deriving bin_io]
type comparator_witness = T.comparator_witness
let comparator = T.comparator
let sexp_of_t = sexp_of_t
let t_of_sexp sexp =
match Option.try_with (fun () -> T.of_float (Float.t_of_sexp sexp)) with
| Some t -> t
| None -> t_of_sexp sexp
;;
end
module Map = Map.Make_binable_using_comparator (C)
module Set = Set.Make_binable_using_comparator (C)
module Private = struct
let suffix_of_unit_of_time = suffix_of_unit_of_time
let parse_suffix = Stable.V3.Of_string.parse_suffix
end