1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
open Ast
(** Helper: extract numeric values from a VVector or VList, tolerating NA.
Returns an array of (float option) — None for NA positions — or an error
for non-numeric values. *)
let extract_floats_na label values =
let len = Array.length values in
let result = Array.make len None in
let had_error = ref None in
for i = 0 to len - 1 do
if !had_error = None then
match values.(i) with
| VInt n -> result.(i) <- Some (float_of_int n)
| VFloat f -> result.(i) <- Some f
| VNA _ -> result.(i) <- None
| _ -> had_error := Some (Error.type_error (Printf.sprintf "Function `%s` requires numeric values." label))
done;
match !had_error with Some e -> Error e | None -> Ok result
(** Helper: convert args to a (float option) array, tolerating NA *)
let to_float_array_na label = function
| VVector arr -> extract_floats_na label arr
| VList items ->
let arr = Array.of_list (List.map snd items) in
extract_floats_na label arr
| VNA _ -> Ok [|None|]
| _ -> Error (Error.type_error (Printf.sprintf "Function `%s` expects a numeric Vector or List." label))
(** Collect indices of non-NA positions and their float values *)
let non_na_indices (nums : float option array) : (int * float) array =
let n = Array.length nums in
let count = ref 0 in
Array.iter (fun v -> if v <> None then incr count) nums;
let result = Array.make !count (0, 0.0) in
let pos = ref 0 in
for i = 0 to n - 1 do
match nums.(i) with
| Some f -> result.(!pos) <- (i, f); incr pos
| None -> ()
done;
result
(** Compute sorted indices (ascending) for an array of (original_index, float) pairs.
Returns sorted array of (original_index, float). *)
let argsort_pairs (pairs : (int * float) array) : (int * float) array =
let copy = Array.copy pairs in
Array.stable_sort (fun (_, a) (_, b) -> compare a b) copy;
copy
let register env =
(*
--# Row Number
--#
--# Returns the rank of the current row, breaking ties by index.
--#
--# @name row_number
--# @param x :: Vector The input vector.
--# @return :: Vector The ranks (1 to n).
--# @family colcraft
--# @seealso min_rank, dense_rank
--# @export
*)
(* row_number(x): rank from 1..n among non-NA values, NA positions get NA *)
let env = Env.add "row_number"
(make_builtin ~name:"row_number" 1 (fun args _env ->
match args with
| [arg] ->
(match to_float_array_na "row_number" arg with
| Error e -> e
| Ok nums ->
let n = Array.length nums in
if n = 0 then VVector [||]
else
let result = Array.make n (VNA NAInt) in
let pairs = non_na_indices nums in
let sorted = argsort_pairs pairs in
Array.iteri (fun rank_minus_1 (orig_idx, _) ->
result.(orig_idx) <- VInt (rank_minus_1 + 1)
) sorted;
VVector result)
| _ -> Error.arity_error_named "row_number" 1 (List.length args)
))
env
in
(*
--# Minimum Rank
--#
--# Assigns the minimum rank to ties, leaving gaps in ranks.
--#
--# @name min_rank
--# @param x :: Vector The input vector.
--# @return :: Vector The ranks.
--# @example
--# min_rank([1, 2, 2, 4])
--# -- Returns = [1, 2, 2, 4]
--# @family colcraft
--# @seealso dense_rank, row_number
--# @export
*)
(* min_rank(x): ties get minimum rank, gaps after ties; NA positions get NA *)
let env = Env.add "min_rank"
(make_builtin ~name:"min_rank" 1 (fun args _env ->
match args with
| [arg] ->
(match to_float_array_na "min_rank" arg with
| Error e -> e
| Ok nums ->
let n = Array.length nums in
if n = 0 then VVector [||]
else
let result = Array.make n (VNA NAInt) in
let pairs = non_na_indices nums in
let m = Array.length pairs in
if m = 0 then VVector result
else begin
let sorted = argsort_pairs pairs in
let i = ref 0 in
while !i < m do
let (_, cur_val) = sorted.(!i) in
let start = !i in
while !i < m && snd sorted.(!i) = cur_val do
incr i
done;
for j = start to !i - 1 do
let (orig_idx, _) = sorted.(j) in
result.(orig_idx) <- VInt (start + 1)
done
done;
VVector result
end)
| _ -> Error.arity_error_named "min_rank" 1 (List.length args)
))
env
in
(*
--# Dense Rank
--#
--# Assigns ranks to unique values, with no gaps.
--#
--# @name dense_rank
--# @param x :: Vector The input vector.
--# @return :: Vector The ranks.
--# @example
--# dense_rank([1, 2, 2, 4])
--# -- Returns = [1, 2, 2, 3]
--# @family colcraft
--# @seealso min_rank
--# @export
*)
(* dense_rank(x): ties get same rank, no gaps; NA positions get NA *)
let env = Env.add "dense_rank"
(make_builtin ~name:"dense_rank" 1 (fun args _env ->
match args with
| [arg] ->
(match to_float_array_na "dense_rank" arg with
| Error e -> e
| Ok nums ->
let n = Array.length nums in
if n = 0 then VVector [||]
else
let result = Array.make n (VNA NAInt) in
let pairs = non_na_indices nums in
let m = Array.length pairs in
if m = 0 then VVector result
else begin
let sorted = argsort_pairs pairs in
let cur_rank = ref 1 in
let i = ref 0 in
while !i < m do
let (_, cur_val) = sorted.(!i) in
while !i < m && snd sorted.(!i) = cur_val do
let (orig_idx, _) = sorted.(!i) in
result.(orig_idx) <- VInt !cur_rank;
incr i
done;
incr cur_rank
done;
VVector result
end)
| _ -> Error.arity_error_named "dense_rank" 1 (List.length args)
))
env
in
(*
--# Cumulative Distribution
--#
--# Calculates the cumulative distribution function (proportion of values <= current).
--#
--# @name cume_dist
--# @param x :: Vector The input vector.
--# @return :: Vector The cumulative distribution (0 to 1).
--# @family colcraft
--# @seealso percent_rank
--# @export
*)
(* cume_dist(x): proportion of non-NA values <= current value; NA positions get NA *)
let env = Env.add "cume_dist"
(make_builtin ~name:"cume_dist" 1 (fun args _env ->
match args with
| [arg] ->
(match to_float_array_na "cume_dist" arg with
| Error e -> e
| Ok nums ->
let n = Array.length nums in
if n = 0 then VVector [||]
else
let result = Array.make n (VNA NAFloat) in
let pairs = non_na_indices nums in
let m = Array.length pairs in
if m = 0 then VVector result
else begin
let sorted = argsort_pairs pairs in
let i = ref 0 in
while !i < m do
let (_, cur_val) = sorted.(!i) in
let start = !i in
while !i < m && snd sorted.(!i) = cur_val do
incr i
done;
let cd = float_of_int !i /. float_of_int m in
for j = start to !i - 1 do
let (orig_idx, _) = sorted.(j) in
result.(orig_idx) <- VFloat cd
done
done;
VVector result
end)
| _ -> Error.arity_error_named "cume_dist" 1 (List.length args)
))
env
in
(*
--# Percent Rank
--#
--# Calculates the proportional rank (0 to 1).
--#
--# @name percent_rank
--# @param x :: Vector The input vector.
--# @return :: Vector The percent rank.
--# @family colcraft
--# @seealso cume_dist
--# @export
*)
(* percent_rank(x): (rank - 1) / (n - 1) among non-NA values; NA positions get NA *)
let env = Env.add "percent_rank"
(make_builtin ~name:"percent_rank" 1 (fun args _env ->
match args with
| [arg] ->
(match to_float_array_na "percent_rank" arg with
| Error e -> e
| Ok nums ->
let n = Array.length nums in
if n = 0 then VVector [||]
else
let result = Array.make n (VNA NAFloat) in
let pairs = non_na_indices nums in
let m = Array.length pairs in
if m = 0 then VVector result
else if m = 1 then begin
let (orig_idx, _) = pairs.(0) in
result.(orig_idx) <- VFloat 0.0;
VVector result
end else begin
let sorted = argsort_pairs pairs in
let min_ranks = Array.make m 0 in
let i = ref 0 in
while !i < m do
let (_, cur_val) = sorted.(!i) in
let start = !i in
while !i < m && snd sorted.(!i) = cur_val do
incr i
done;
for j = start to !i - 1 do
min_ranks.(j) <- start + 1
done
done;
let denom = float_of_int (m - 1) in
Array.iteri (fun sorted_pos rank ->
let (orig_idx, _) = sorted.(sorted_pos) in
result.(orig_idx) <- VFloat (float_of_int (rank - 1) /. denom)
) min_ranks;
VVector result
end)
| _ -> Error.arity_error_named "percent_rank" 1 (List.length args)
))
env
in
(*
--# N-tiles
--#
--# Divides the vector into n buckets.
--#
--# @name ntile
--# @param x :: Vector The input vector.
--# @param n :: Int Number of buckets.
--# @return :: Vector Bucket indices (1 to n).
--# @family colcraft
--# @seealso min_rank
--# @export
*)
(* ntile(x, n): divide non-NA values into n approximately equal-sized groups; NA positions get NA *)
(* Matches R's dplyr::ntile: first (len %% n) groups have (len / n + 1) elements,
remaining groups have (len / n) elements. Assignment is based on rank. *)
let env = Env.add "ntile"
(make_builtin ~name:"ntile" 2 (fun args _env ->
match args with
| [arg; VInt num_tiles] when num_tiles > 0 ->
(match to_float_array_na "ntile" arg with
| Error e -> e
| Ok nums ->
let n = Array.length nums in
if n = 0 then VVector [||]
else
let result = Array.make n (VNA NAInt) in
let pairs = non_na_indices nums in
let m = Array.length pairs in
if m = 0 then VVector result
else begin
let sorted = argsort_pairs pairs in
let grp_len = m / num_tiles in
let remainder = m mod num_tiles in
let tiles_for_sorted = Array.make m 0 in
let pos = ref 0 in
for tile = 1 to num_tiles do
let size = if tile <= remainder then grp_len + 1 else grp_len in
for _ = 1 to size do
if !pos < m then begin
tiles_for_sorted.(!pos) <- tile;
incr pos
end
done
done;
Array.iteri (fun sorted_pos (orig_idx, _) ->
result.(orig_idx) <- VInt tiles_for_sorted.(sorted_pos)
) sorted;
VVector result
end)
| [_; VInt n] when n <= 0 ->
Error.value_error "Function `ntile` requires a positive number of tiles."
| [_; _] -> Error.type_error "Function `ntile` expects an integer as second argument."
| _ -> Error.arity_error_named "ntile" 2 (List.length args)
))
env
in
env