Code Snippet
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
| #!/usr/bin/env -S dotnet fsi --langversion:10.0 --optimize --warnaserror+:25,26
#time "on"
open System
open System.Security.Cryptography
[<RequireQualifiedAccess>]
module Date =
[<RequireQualifiedAccess>]
module ISO8601 =
open System.Globalization
let inline timestamp
( )
: string =
DateTime.UtcNow.ToString
( format = "yyyy-MM-ddTHH:mm:ss.fffffffZ"
, provider = CultureInfo.InvariantCulture
)
[<RequireQualifiedAccess>]
module Output =
let inline stdout
( x : 'a )
: unit =
Console.WriteLine x
let inline stderr
( x : 'a )
: unit =
Console.Error.WriteLine x
[<RequireQualifiedAccess>]
module Logger =
[<RequireQualifiedAccess>]
module Message =
type message =
| Started
| Verbose
| Warning
| Stopped
| Failure
[<RequireQualifiedAccess>]
module Utils =
let nl = " [NL] "
let flatten flag (str:string) =
if flag then
str.Replace(Environment.NewLine, nl)
else
str
let inline custom
( msg : Message.message )
( one : bool )
( app : string )
( log : string )
: unit =
let log =
sprintf "%s | %A | %s | %s"
( Date.ISO8601.timestamp () )
( msg )
( app )
( log.Trim() )
|> flatten one
if Message.Warning = msg || Message.Failure = msg then
Output.stderr log
else
Output.stdout log
let inline started one app log =
try
Console.ForegroundColor <- ConsoleColor.White
Utils.custom Message.Started one app log
finally
Console.ResetColor ()
let inline verbose one app log =
try
Console.ForegroundColor <- ConsoleColor.Yellow
Utils.custom Message.Verbose one app log
finally
Console.ResetColor ()
let inline warning one app log =
try
Console.BackgroundColor <- ConsoleColor.DarkYellow
Console.ForegroundColor <- ConsoleColor.Black
Utils.custom Message.Warning one app log
finally
Console.ResetColor ()
let inline stopped one app log =
try
Console.ForegroundColor <- ConsoleColor.White
Utils.custom Message.Stopped one app log
finally
Console.ResetColor ()
let inline failure one app log =
try
Console.BackgroundColor <- ConsoleColor.Red
Console.ForegroundColor <- ConsoleColor.White
Utils.custom Message.Failure one app log
finally
Console.ResetColor ()
[<RequireQualifiedAccess>]
module Hex =
open System.Numerics (* #INumberBase<'a> *)
let inline show pad (n:#INumberBase<'a>) =
let tmp =
let cs =
(int64 n).ToString "X2"
|> Seq.toArray
|> Array.rev
cs[0 .. pad - 1]
|> Array.rev
|> Array.map string
|> Array.fold (+) String.Empty
tmp.PadLeft(pad, '0')
module Hash =
[<RequireQualifiedAccess>]
module SHA256 =
[<RequireQualifiedAccess>]
module Bytes =
let inline bytes
( bs : byte [] )
: byte [] =
use sha = SHA256.Create()
bs
|> sha.ComputeHash
open Hash
let inline rng count =
RandomNumberGenerator.GetBytes(count = count)
let _ =
Logger.started false "psi" String.Empty
try
Logger.verbose false "psi" String.Empty
let ran = Random()
let m,n = ran.Next(75, 150), ran.Next(50, 100)
let pub = rng 032
let sok = 001
let ali =
fun _ -> rng sok
|> Seq.init m
|> Set.ofSeq
let bob =
fun _ -> rng sok
|> Seq.init n
|> Set.ofSeq
let src =
ali
|> Set.map (Array.append pub >> SHA256.Bytes.bytes)
let tgt =
bob
|> Set.map (Array.append pub >> SHA256.Bytes.bytes)
let com =
Set.intersect src tgt
let acu =
ali
|> Set.filter (
fun bs ->
let x =
bs
|> Array.append pub
|> SHA256.Bytes.bytes
Set.contains x com
)
let bcu =
bob
|> Set.filter (
fun bs ->
let x =
bs
|> Array.append pub
|> SHA256.Bytes.bytes
Set.contains x com
)
sprintf "# Alice"
|> Logger.verbose false "psi"
sprintf "Number of users: %i" (Set.count ali)
|> Logger.verbose false "psi"
ali
|> Set.map (Array.map (Hex.show 2) >> Array.fold (+) "0x")
|> sprintf "Users uids [SEC]:\n%A"
|> Logger.verbose false "psi"
sprintf "# Bob"
|> Logger.verbose false "psi"
sprintf "Number of users: %i" (Set.count bob)
|> Logger.verbose false "psi"
bob
|> Set.map (Array.map (Hex.show 2) >> Array.fold (+) "0x")
|> sprintf "Users uids [SEC]:\n%A"
|> Logger.verbose false "psi"
sprintf "# Common"
|> Logger.verbose false "psi"
pub
|> Array.map (Hex.show 2)
|> Array.fold (+) "0x"
|> sprintf "Random 32-byte salt [PUB]:\n%s"
|> Logger.warning false "psi"
src
|> Set.map (Array.map (Hex.show 2) >> Array.fold (+) "0x")
|> sprintf "Alice [SEC] uids SHA256 + salt:\n%A"
|> Logger.verbose false "psi"
tgt
|> Set.map (Array.map (Hex.show 2) >> Array.fold (+) "0x")
|> sprintf "Bob [SEC] uids SHA256 + salt:\n%A"
|> Logger.verbose false "psi"
com
|> Set.map (Array.map (Hex.show 2) >> Array.fold (+) "0x")
|> sprintf "Shared [PUB] users (%i):\n%A" (Set.count com)
|> Logger.warning false "psi"
acu
|> Set.map (Array.map (Hex.show 2) >> Array.fold (+) "0x")
|> sprintf "Alice common users [SEC]:\n%A"
|> Logger.verbose false "psi"
bcu
|> Set.map (Array.map (Hex.show 2) >> Array.fold (+) "0x")
|> sprintf "Bob common users [SEC]:\n%A"
|> Logger.verbose false "psi"
Logger.stopped false "psi" String.Empty
00
with ex ->
sprintf "Error: %A" ex
|> Logger.failure false "psi"
-1
|
Code Output:
2025-12-04T13:17:16.9429684Z | Started | psi |
2025-12-04T13:17:16.9475723Z | Verbose | psi |
2025-12-04T13:17:16.9518858Z | Verbose | psi | # Alice
2025-12-04T13:17:16.9523190Z | Verbose | psi | Number of users: 109
2025-12-04T13:17:16.9578911Z | Verbose | psi | Users uids [SEC]:
set
["0x02"; "0x05"; "0x07"; "0x0D"; "0x0E"; "0x0F"; "0x16"; "0x17"; "0x18"; ...]
2025-12-04T13:17:16.9581590Z | Verbose | psi | # Bob
2025-12-04T13:17:16.9584088Z | Verbose | psi | Number of users: 73
2025-12-04T13:17:16.9593064Z | Verbose | psi | Users uids [SEC]:
set
["0x02"; "0x0D"; "0x19"; "0x1F"; "0x21"; "0x22"; "0x2B"; "0x2C"; "0x2E"; ...]
2025-12-04T13:17:16.9595569Z | Verbose | psi | # Common
2025-12-04T13:17:16.9600587Z | Warning | psi | Random 32-byte salt [PUB]:
0x8C42650DE6EF8219974EE6B1E8EC9E8D8E92E6D6F9637D29A58CFEB4E7F6A66D
2025-12-04T13:17:16.9623277Z | Verbose | psi | Alice [SEC] uids SHA256 + salt:
set
["0x035AAA91A8B0A57A91570133A99836225E04D28E10CCF4E9FE83282F1144AB13";
"0x0404927C0400BFF8C281E56508076EC953E388E2179DCF0C23320CF100AF1B96";
"0x06A2EF214A35A5D54298578DF90612BD5EE1137265036440A78E637F1F134C1D";
"0x06A4EAD38AF0003F889311627A2BF9929B0082F6E14F72870E3950D69420535D";
"0x08B0E433E9E62E65589824D2E6FBFAEFFC4DC36CE9648C5985D71F15D9722AE4";
"0x0AEE53DADBF1825C0B7F110AFAC4D7C9BB8F936942F92FD51C465498AB6FFC41";
"0x0EE458564E00A90D43686B22700A8877BC375CB05ABE82DCC03E238D3B659646";
"0x10907AA05D8AD492A8806D4856474881843EA6C77C6510203E5BC77CF1D4A0C2";
"0x10A5559D959B4F3F0275A8BDF6CDF126E50EFB4906FFC80E13F9FCE6D2C55A45"; ...]
2025-12-04T13:17:16.9639498Z | Verbose | psi | Bob [SEC] uids SHA256 + salt:
set
["0x00644E591EECEC0FAC1B6968889F11DE444799792FD237D3040D26720F5B0FC5";
"0x035AAA91A8B0A57A91570133A99836225E04D28E10CCF4E9FE83282F1144AB13";
"0x0404927C0400BFF8C281E56508076EC953E388E2179DCF0C23320CF100AF1B96";
"0x05470CB1A671412C738C491BA537C176C409954850C782099885175C41C339C1";
"0x099C9AA75F67E68553A3E1C6871991E19BD19FFD5650CA2DE06614BB143E8F08";
"0x0A582B3FEBD804BE9DB213515602D78FCF4B1BFD222E6847092C345C88B5A3AF";
"0x101250BD15C022D087AD195307B23A1818E4F0F0EF3871C86A8D961E8AE091AF";
"0x10907AA05D8AD492A8806D4856474881843EA6C77C6510203E5BC77CF1D4A0C2";
"0x20276614AC18493D1A534836E4F1CC319DA3DCDEE5DF43B6C82AB9487FF2324C"; ...]
2025-12-04T13:17:16.9658466Z | Warning | psi | Shared [PUB] users (34):
set
["0x035AAA91A8B0A57A91570133A99836225E04D28E10CCF4E9FE83282F1144AB13";
"0x0404927C0400BFF8C281E56508076EC953E388E2179DCF0C23320CF100AF1B96";
"0x10907AA05D8AD492A8806D4856474881843EA6C77C6510203E5BC77CF1D4A0C2";
"0x20276614AC18493D1A534836E4F1CC319DA3DCDEE5DF43B6C82AB9487FF2324C";
"0x2971B59935E66C3D7300398CEA87DBDCFF5B917A54892F571CB248EC8DE23B89";
"0x35CFF015DCFC62D944EF8EF366297B743F300F29612015D5CEB05D27298CF7F8";
"0x3C8022207892C1DD2443B348EF5299862BFBA87E6C447E88F464083F67688406";
"0x41920EB0C76E373BEB50F75B482F1A7F6B90EECCC468A5474A36E1BBE5392CDC";
"0x45058195A78F7A6DDE9693EBEF08650EFB78558578C5A4A261DA03A01934C980"; ...]
2025-12-04T13:17:16.9667738Z | Verbose | psi | Alice common users [SEC]:
set
["0x02"; "0x0D"; "0x19"; "0x1F"; "0x2C"; "0x2E"; "0x32"; "0x33"; "0x40"; ...]
2025-12-04T13:17:16.9676192Z | Verbose | psi | Bob common users [SEC]:
set
["0x02"; "0x0D"; "0x19"; "0x1F"; "0x2C"; "0x2E"; "0x32"; "0x33"; "0x40"; ...]
2025-12-04T13:17:16.9678977Z | Stopped | psi |
Real: 00:00:00.028, CPU: 00:00:00.028, GC gen0: 0, gen1: 0, gen2: 0
Private set intersection (PIT)
References: