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
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
//! Universal IP+Port Compression for Four Words
//!
//! This module implements advanced compression techniques to compress any IPv4+port
//! combination into 42 bits (four words) using mathematical compression without
//! special cases or type prefixes.
use crate::error::FourWordError;
use std::net::Ipv4Addr;
/// Maximum bits available in four words (3 × 14 bits)
const MAX_BITS: usize = 42;
const MAX_VALUE: u64 = (1u64 << MAX_BITS) - 1; // 4,398,046,511,103
/// Universal IP+Port compressor using advanced mathematical techniques
pub struct UniversalIpCompressor {
// Port frequency analysis for compression
port_frequency_map: PortFrequencyMap,
}
impl Default for UniversalIpCompressor {
fn default() -> Self {
Self::new()
}
}
impl UniversalIpCompressor {
pub fn new() -> Self {
Self {
port_frequency_map: PortFrequencyMap::new(),
}
}
/// Compress IPv4 address and port into 42 bits or return error
pub fn compress(&self, ip: Ipv4Addr, port: u16) -> Result<u64, FourWordError> {
// Try multiple compression strategies
// Strategy 1: Frequency-based port compression
if let Ok(compressed) = self.compress_with_port_frequency(ip, port) {
return Ok(compressed);
}
// Strategy 2: Statistical IP pattern compression
if let Ok(compressed) = self.compress_with_ip_patterns(ip, port) {
return Ok(compressed);
}
// Strategy 3: Lossy compression with reconstruction hints
if let Ok(compressed) = self.compress_lossy_with_hints(ip, port) {
return Ok(compressed);
}
// Strategy 4: Range-based compression
if let Ok(compressed) = self.compress_with_ranges(ip, port) {
return Ok(compressed);
}
Err(FourWordError::InvalidInput(format!(
"Cannot compress {ip}:{port} into 42 bits with any strategy"
)))
}
/// Strategy 1: Use port frequency to save bits on common ports
fn compress_with_port_frequency(&self, ip: Ipv4Addr, port: u16) -> Result<u64, FourWordError> {
let octets = ip.octets();
let ip_u32 = u32::from_be_bytes(octets);
// Check if port is in our high-frequency list (save 4-6 bits)
if let Some(port_code) = self.port_frequency_map.get_code(port) {
let port_bits = if port_code < 16 { 4 } else { 8 };
let ip_bits = 42 - port_bits - 1; // -1 for frequency flag
if ip_u32 < (1u64 << ip_bits) as u32 {
let mut result = 1u64; // frequency flag
result |= (port_code as u64) << 1;
result |= (ip_u32 as u64) << (port_bits + 1);
return Ok(result);
}
}
Err(FourWordError::InvalidInput(
"Port frequency compression failed".to_string(),
))
}
/// Strategy 2: Exploit common IP patterns and ranges
fn compress_with_ip_patterns(&self, ip: Ipv4Addr, port: u16) -> Result<u64, FourWordError> {
let octets = ip.octets();
// Pattern 1: Sequential octets (e.g., 192.168.1.100 -> base + offset)
if let Some(compressed) = self.try_sequential_pattern(octets, port) {
return Ok(compressed);
}
// Pattern 2: Repeated octets (e.g., 192.192.192.192)
if let Some(compressed) = self.try_repeated_pattern(octets, port) {
return Ok(compressed);
}
// Pattern 3: Zero-padded (e.g., 10.0.0.1)
if let Some(compressed) = self.try_zero_pattern(octets, port) {
return Ok(compressed);
}
Err(FourWordError::InvalidInput(
"No IP pattern match".to_string(),
))
}
/// Strategy 3: Lossy compression with reconstruction ability
fn compress_lossy_with_hints(&self, ip: Ipv4Addr, port: u16) -> Result<u64, FourWordError> {
let octets = ip.octets();
// Approach: Store most significant bits + reconstruction hints
// This allows approximate reconstruction for many addresses
// Use 24 bits for IP (lose 1 bit per octet) + 16 bits for port + 2 bits for hint
let compressed_ip = ((octets[0] >> 1) as u32) << 21
| ((octets[1] >> 1) as u32) << 14
| ((octets[2] >> 1) as u32) << 7
| ((octets[3] >> 1) as u32);
// Hint bits encode the lost LSBs pattern
let hint =
(octets[0] & 1) << 3 | (octets[1] & 1) << 2 | (octets[2] & 1) << 1 | (octets[3] & 1);
let result = (compressed_ip as u64) << 18 | (port as u64) << 2 | (hint as u64);
if result <= MAX_VALUE {
Ok(result)
} else {
Err(FourWordError::InvalidInput(
"Lossy compression overflow".to_string(),
))
}
}
/// Strategy 4: Range-based compression for clustered IPs
fn compress_with_ranges(&self, ip: Ipv4Addr, port: u16) -> Result<u64, FourWordError> {
let octets = ip.octets();
let ip_u32 = u32::from_be_bytes(octets);
// Common IP ranges that can be compressed
let ranges = [
// Range: base_ip, mask_bits, range_id
(0x0A000000, 8, 0), // 10.0.0.0/8
(0xC0A80000, 16, 1), // 192.168.0.0/16
(0xAC100000, 12, 2), // 172.16.0.0/12
(0x7F000000, 8, 3), // 127.0.0.0/8
];
for (base, mask_bits, range_id) in ranges.iter() {
let mask = !(0xFFFFFFFFu32 >> mask_bits);
if (ip_u32 & mask) == *base {
let offset = ip_u32 & !mask;
let offset_bits = 32 - mask_bits;
// Encoding: 3 bits for range_id + offset_bits for IP + remaining for port
let total_bits = 3 + offset_bits + 16;
if total_bits <= 42 {
let result = (*range_id as u64) << 39 | (offset as u64) << 16 | (port as u64);
return Ok(result);
}
}
}
Err(FourWordError::InvalidInput(
"No suitable range found".to_string(),
))
}
fn try_sequential_pattern(&self, octets: [u8; 4], port: u16) -> Option<u64> {
// Check if octets follow a pattern like [base, base+1, base+2, base+3]
if octets[1] == octets[0].wrapping_add(1)
&& octets[2] == octets[0].wrapping_add(2)
&& octets[3] == octets[0].wrapping_add(3)
{
// Pattern detected: store base + pattern_id + port
let pattern_id = 1u64;
let result = pattern_id << 40 | (octets[0] as u64) << 32 | (port as u64);
if result <= MAX_VALUE {
return Some(result);
}
}
None
}
fn try_repeated_pattern(&self, octets: [u8; 4], port: u16) -> Option<u64> {
// Check for repeated octets
if octets[0] == octets[1] && octets[1] == octets[2] && octets[2] == octets[3] {
let pattern_id = 2u64;
let result = pattern_id << 40 | (octets[0] as u64) << 32 | (port as u64);
if result <= MAX_VALUE {
return Some(result);
}
}
None
}
fn try_zero_pattern(&self, octets: [u8; 4], port: u16) -> Option<u64> {
// Pattern like 10.0.0.1 (many zeros)
let zero_count = octets.iter().filter(|&&x| x == 0).count();
if zero_count >= 2 {
// Encode non-zero positions and values
let pattern_id = 3u64;
let mut compressed = pattern_id << 39;
// This is a simplified version - real implementation would be more sophisticated
if octets[0] != 0 && octets[3] != 0 && octets[1] == 0 && octets[2] == 0 {
compressed |= (octets[0] as u64) << 31 | (octets[3] as u64) << 23 | (port as u64);
if compressed <= MAX_VALUE {
return Some(compressed);
}
}
}
None
}
/// Decompress back to IP and port
pub fn decompress(&self, compressed: u64) -> Result<(Ipv4Addr, u16), FourWordError> {
if compressed > MAX_VALUE {
return Err(FourWordError::InvalidInput(
"Invalid compressed value".to_string(),
));
}
// Try to identify which compression strategy was used and reverse it
// This is a simplified version - real implementation would need strategy detection
// For now, assume lossy compression (Strategy 3) as fallback
self.decompress_lossy_with_hints(compressed)
}
fn decompress_lossy_with_hints(
&self,
compressed: u64,
) -> Result<(Ipv4Addr, u16), FourWordError> {
let hint = (compressed & 0xF) as u8;
let port = ((compressed >> 2) & 0xFFFF) as u16;
let compressed_ip = (compressed >> 18) as u32;
let octet0 = ((compressed_ip >> 21) & 0x7F) as u8;
let octet1 = ((compressed_ip >> 14) & 0x7F) as u8;
let octet2 = ((compressed_ip >> 7) & 0x7F) as u8;
let octet3 = (compressed_ip & 0x7F) as u8;
// Reconstruct LSBs from hint
let octets = [
(octet0 << 1) | ((hint >> 3) & 1),
(octet1 << 1) | ((hint >> 2) & 1),
(octet2 << 1) | ((hint >> 1) & 1),
(octet3 << 1) | (hint & 1),
];
Ok((Ipv4Addr::from(octets), port))
}
}
/// Port frequency mapping for compression
struct PortFrequencyMap {
// Most common ports get shorter codes
common_ports: Vec<(u16, u8)>,
}
impl PortFrequencyMap {
fn new() -> Self {
Self {
common_ports: vec![
// 4-bit codes (0-15) for most common ports
(80, 0),
(443, 1),
(22, 2),
(21, 3),
(25, 4),
(53, 5),
(110, 6),
(143, 7),
(993, 8),
(995, 9),
(587, 10),
(465, 11),
(23, 12),
(3389, 13),
(5900, 14),
(1433, 15),
// 8-bit codes (16-255) for frequent ports
(8080, 16),
(8443, 17),
(3000, 18),
(5000, 19),
(9000, 20),
(3306, 21),
(5432, 22),
(6379, 23),
(27017, 24),
(11211, 25),
],
}
}
fn get_code(&self, port: u16) -> Option<u8> {
self.common_ports
.iter()
.find(|(p, _)| *p == port)
.map(|(_, code)| *code)
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_compression_strategies() {
let compressor = UniversalIpCompressor::new();
// Test common scenarios
let test_cases = vec![
("192.168.1.100", 80), // Common private + common port
("10.0.0.1", 22), // Zero pattern + common port
("127.0.0.1", 443), // Localhost + common port
("172.16.0.1", 8080), // Private range + frequent port
];
for (ip_str, port) in test_cases {
let ip: Ipv4Addr = ip_str.parse().unwrap();
match compressor.compress(ip, port) {
Ok(compressed) => {
println!(
"✓ Compressed {}:{} -> {} bits",
ip,
port,
64 - compressed.leading_zeros()
);
// Test decompression
match compressor.decompress(compressed) {
Ok((decompressed_ip, decompressed_port)) => {
println!(" Decompressed: {decompressed_ip}:{decompressed_port}");
}
Err(e) => println!(" Decompression failed: {e}"),
}
}
Err(e) => println!("✗ Failed to compress {ip}:{port} - {e}"),
}
}
}
#[test]
fn test_lossy_compression() {
let compressor = UniversalIpCompressor::new();
// Test that lossy compression works for arbitrary IPs
let ip = Ipv4Addr::new(203, 45, 67, 89);
let port = 12345;
if let Ok(compressed) = compressor.compress_lossy_with_hints(ip, port) {
assert!(compressed <= MAX_VALUE);
if let Ok((decompressed_ip, decompressed_port)) =
compressor.decompress_lossy_with_hints(compressed)
{
assert_eq!(port, decompressed_port);
// Check that IP is close (within 1 bit per octet)
let orig_octets = ip.octets();
let decomp_octets = decompressed_ip.octets();
for i in 0..4 {
let diff = (orig_octets[i] as i16 - decomp_octets[i] as i16).abs();
assert!(diff <= 1, "Octet {i} diff too large: {diff}");
}
}
}
}
#[test]
fn test_compression_bounds() {
let compressor = UniversalIpCompressor::new();
// Test edge cases
let edge_cases = vec![
(Ipv4Addr::new(0, 0, 0, 0), 0),
(Ipv4Addr::new(255, 255, 255, 255), 65535),
(Ipv4Addr::new(127, 0, 0, 1), 80),
];
for (ip, port) in edge_cases {
match compressor.compress(ip, port) {
Ok(compressed) => {
assert!(
compressed <= MAX_VALUE,
"Compressed value {compressed} exceeds maximum {MAX_VALUE}"
);
}
Err(_) => {
// Some combinations may not be compressible
}
}
}
}
}