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//! Entropy analysis for detecting high-entropy strings that may be secrets
//!
//! This module uses Shannon entropy and other statistical measures to identify
//! strings that have high randomness, which is characteristic of secrets, keys,
//! and tokens.
use std::collections::HashMap;
/// Result of entropy analysis
#[derive(Debug, Clone)]
pub struct EntropyResult {
/// Shannon entropy score (0.0 to log2(charset_size))
pub shannon_entropy: f64,
/// Normalized entropy (0.0 to 1.0)
pub normalized_entropy: f64,
/// Character set size used in the string
pub charset_size: usize,
/// Length of the analyzed string
pub length: usize,
/// Character frequency distribution
pub char_frequencies: HashMap<char, f64>,
/// Whether this looks like a secret based on entropy
pub is_likely_secret: bool,
/// Confidence score (0.0 to 1.0)
pub confidence: f64,
}
impl EntropyResult {
/// Check if this string is likely a secret based on entropy analysis
pub fn is_likely_secret(&self) -> bool {
self.is_likely_secret
}
/// Get a detailed analysis description
pub fn description(&self) -> String {
format!(
"Entropy: {:.2}, Normalized: {:.2}, Charset: {}, Length: {}, Confidence: {:.2}",
self.shannon_entropy,
self.normalized_entropy,
self.charset_size,
self.length,
self.confidence
)
}
}
/// Entropy analyzer for secret detection
#[derive(Debug, Clone)]
pub struct EntropyAnalyzer {
/// Minimum length to consider for analysis
pub min_length: usize,
/// Maximum length to consider for analysis
pub max_length: usize,
/// Minimum entropy threshold for secret detection
pub min_entropy_threshold: f64,
/// Minimum normalized entropy threshold
pub min_normalized_entropy: f64,
/// Minimum character set size
pub min_charset_size: usize,
}
impl Default for EntropyAnalyzer {
fn default() -> Self {
Self::new()
}
}
impl EntropyAnalyzer {
/// Create a new entropy analyzer with default settings
pub fn new() -> Self {
Self {
min_length: 8, // Don't analyze very short strings
max_length: 1000, // Don't analyze very long strings
min_entropy_threshold: 3.5, // Minimum Shannon entropy
min_normalized_entropy: 0.6, // Minimum normalized entropy
min_charset_size: 8, // Minimum character variety
}
}
/// Create an analyzer optimized for API keys
pub fn for_api_keys() -> Self {
Self {
min_length: 10,
max_length: 200,
min_entropy_threshold: 4.0,
min_normalized_entropy: 0.7,
min_charset_size: 10,
}
}
/// Create an analyzer optimized for tokens
pub fn for_tokens() -> Self {
Self {
min_length: 20,
max_length: 500,
min_entropy_threshold: 4.5,
min_normalized_entropy: 0.75,
min_charset_size: 16,
}
}
/// Analyze the entropy of a string
pub fn analyze(&self, text: &str) -> EntropyResult {
// Skip if length is out of bounds
if text.len() < self.min_length || text.len() > self.max_length {
return EntropyResult {
shannon_entropy: 0.0,
normalized_entropy: 0.0,
charset_size: 0,
length: text.len(),
char_frequencies: HashMap::new(),
is_likely_secret: false,
confidence: 0.0,
};
}
let char_frequencies = self.calculate_char_frequencies(text);
let charset_size = char_frequencies.len();
let shannon_entropy = self.calculate_shannon_entropy(&char_frequencies, text.len());
let max_possible_entropy = (charset_size as f64).log2();
let normalized_entropy = if max_possible_entropy > 0.0 {
shannon_entropy / max_possible_entropy
} else {
0.0
};
// Determine if this looks like a secret
let is_likely_secret = self.is_likely_secret_by_entropy(
shannon_entropy,
normalized_entropy,
charset_size,
text,
);
// Calculate confidence score
let confidence = self.calculate_confidence(
shannon_entropy,
normalized_entropy,
charset_size,
text,
);
EntropyResult {
shannon_entropy,
normalized_entropy,
charset_size,
length: text.len(),
char_frequencies,
is_likely_secret,
confidence,
}
}
/// Analyze multiple strings and return only those likely to be secrets
pub fn analyze_candidates(&self, candidates: &[&str]) -> Vec<(String, EntropyResult)> {
candidates
.iter()
.map(|&text| (text.to_string(), self.analyze(text)))
.filter(|(_, result)| result.is_likely_secret)
.collect()
}
/// Extract high-entropy substrings from text
pub fn extract_high_entropy_substrings(&self, text: &str, min_length: usize) -> Vec<(String, EntropyResult)> {
let mut results = Vec::new();
// Try different substring lengths
for len in min_length..=std::cmp::min(text.len(), self.max_length) {
for start in 0..=(text.len().saturating_sub(len)) {
let substring = &text[start..start + len];
// Skip if it contains whitespace or common delimiters
if substring.chars().any(|c| c.is_whitespace() || "\"'(){}[]<>".contains(c)) {
continue;
}
let result = self.analyze(substring);
if result.is_likely_secret && result.confidence > 0.7 {
results.push((substring.to_string(), result));
}
}
}
// Remove duplicates and sort by confidence
results.sort_by(|a, b| b.1.confidence.partial_cmp(&a.1.confidence).unwrap());
results.dedup_by(|a, b| a.0 == b.0);
results
}
/// Calculate character frequencies
fn calculate_char_frequencies(&self, text: &str) -> HashMap<char, f64> {
let mut frequencies = HashMap::new();
let total_chars = text.len() as f64;
for ch in text.chars() {
*frequencies.entry(ch).or_insert(0.0) += 1.0;
}
// Convert counts to frequencies
for frequency in frequencies.values_mut() {
*frequency /= total_chars;
}
frequencies
}
/// Calculate Shannon entropy
fn calculate_shannon_entropy(&self, frequencies: &HashMap<char, f64>, _total_length: usize) -> f64 {
frequencies
.values()
.filter(|&&freq| freq > 0.0)
.map(|&freq| -freq * freq.log2())
.sum()
}
/// Determine if a string is likely a secret based on entropy metrics
fn is_likely_secret_by_entropy(
&self,
shannon_entropy: f64,
normalized_entropy: f64,
charset_size: usize,
text: &str,
) -> bool {
// Basic entropy thresholds
if shannon_entropy < self.min_entropy_threshold {
return false;
}
if normalized_entropy < self.min_normalized_entropy {
return false;
}
if charset_size < self.min_charset_size {
return false;
}
// Additional heuristics
// Reject if it looks like natural language
if self.looks_like_natural_language(text) {
return false;
}
// Reject if it's all the same character type
if self.is_single_character_type(text) {
return false;
}
// Reject common patterns that aren't secrets
if self.is_common_non_secret_pattern(text) {
return false;
}
true
}
/// Calculate confidence score based on various factors
fn calculate_confidence(
&self,
shannon_entropy: f64,
normalized_entropy: f64,
charset_size: usize,
text: &str,
) -> f64 {
let mut confidence = 0.0;
// Shannon entropy contribution (0.0 to 0.4)
confidence += (shannon_entropy / 6.0).min(0.4);
// Normalized entropy contribution (0.0 to 0.3)
confidence += normalized_entropy * 0.3;
// Character set diversity (0.0 to 0.2)
confidence += (charset_size as f64 / 62.0).min(0.2); // 62 = a-z + A-Z + 0-9
// Length bonus (0.0 to 0.1)
if text.len() >= 20 {
confidence += 0.1;
} else if text.len() >= 12 {
confidence += 0.05;
}
// Pattern bonuses and penalties
if self.has_secret_like_patterns(text) {
confidence += 0.1;
}
if self.looks_like_natural_language(text) {
confidence -= 0.3;
}
if self.is_common_non_secret_pattern(text) {
confidence -= 0.4;
}
confidence = confidence.max(0.0).min(1.0);
// The normalized-entropy term above is relative to the string's own
// (possibly tiny) charset, so a short string that merely avoids
// repeating any of its few distinct characters (e.g. "hello_world",
// which uses 8 distinct characters close to uniformly) can score a
// near-maximal normalized entropy despite having low *absolute*
// entropy and little real randomness. Without this gate that
// artifact alone was enough to push confidence for plainly
// non-secret strings above 0.8. Tie confidence back to the same
// basic entropy/charset gate used by `is_likely_secret_by_entropy`
// so a candidate that doesn't even clear that bar can't still be
// reported with moderate-to-high confidence.
if shannon_entropy < self.min_entropy_threshold
|| normalized_entropy < self.min_normalized_entropy
|| charset_size < self.min_charset_size
{
confidence *= 0.3;
}
confidence.max(0.0).min(1.0)
}
/// Check if text looks like natural language
fn looks_like_natural_language(&self, text: &str) -> bool {
let lowercase_text = text.to_lowercase();
// Common English words used as a lightweight "is this a real word"
// dictionary. Split the text into alphabetic tokens (on whitespace,
// underscores, digits, punctuation, etc.) and match whole tokens
// against this list, rather than doing a raw substring search.
// Substring search is both too loose (e.g. "cat" would match inside
// "AKIAIOSFODNN...cat-free gibberish") and too strict in effect,
// since it only takes one accidental hit combined with another to
// misfire; tokenizing avoids spurious mid-token matches entirely.
let common_words = [
"the", "and", "for", "are", "but", "not", "you", "all", "can", "had", "was", "one",
"our", "out", "day", "get", "has", "him", "his", "how", "its", "may", "new", "now",
"old", "see", "two", "way", "who", "boy", "did", "man", "car", "dog", "cat", "run",
"this", "that", "with", "from", "have", "will", "your", "what", "when", "where",
"quick", "brown", "fox", "jumps", "over", "lazy",
"configuration", "value", "value's", "config", "settings", "default", "example",
];
let words: Vec<&str> = lowercase_text
.split(|c: char| !c.is_ascii_alphabetic())
.filter(|word| word.len() >= 2)
.collect();
if words.is_empty() {
return false;
}
let word_count = words
.iter()
.filter(|&&word| common_words.contains(&word))
.count();
// Two or more recognized dictionary words is a strong signal that
// this is a natural-language phrase or identifier, not a secret.
word_count >= 2
}
/// Check if string is all the same character type (all digits, all uppercase, etc.)
fn is_single_character_type(&self, text: &str) -> bool {
text.chars().all(|c| c.is_ascii_digit()) ||
text.chars().all(|c| c.is_ascii_uppercase()) ||
text.chars().all(|c| c.is_ascii_lowercase())
}
/// Check for common non-secret patterns
fn is_common_non_secret_pattern(&self, text: &str) -> bool {
let lowercase_text = text.to_lowercase();
// Common non-secret patterns. Note: deliberately excludes short
// "keyboard sequence" fillers like "12345678", "abcdefgh" or
// "qwertyui" as *substrings*: a real high-entropy secret can easily
// contain an 8-character run like "...1234567890..." by chance (e.g.
// "sk_test_FAKE1234567890ABCDEF"), and matching them with
// `contains()` anywhere in the text caused genuine secrets to be
// misclassified as placeholders. A standalone placeholder such as
// "12345678" is already rejected by the Shannon entropy threshold
// above (its entropy is too low relative to its tiny charset), and
// `is_single_character_type` catches purely-numeric or
// purely-alphabetic runs, so no substring heuristic is needed here.
let non_secret_patterns = [
"localhost", "127.0.0.1", "example.com", "test.com",
"placeholder", "your_key_here", "insert_key_here",
"todo", "fixme", "changeme", "password123",
];
non_secret_patterns
.iter()
.any(|&pattern| lowercase_text.contains(pattern))
}
/// Check for patterns that suggest this might be a secret
fn has_secret_like_patterns(&self, text: &str) -> bool {
// Mixed case with numbers and special characters
let has_lowercase = text.chars().any(|c| c.is_ascii_lowercase());
let has_uppercase = text.chars().any(|c| c.is_ascii_uppercase());
let has_digits = text.chars().any(|c| c.is_ascii_digit());
let has_special = text.chars().any(|c| !c.is_ascii_alphanumeric());
// Count character type variety
let variety_count = [has_lowercase, has_uppercase, has_digits, has_special]
.iter()
.filter(|&&x| x)
.count();
// Secrets often have good character variety
variety_count >= 3
}
}
/// Utility functions for entropy analysis
pub mod utils {
use super::*;
/// Quick check if a string has high entropy
pub fn has_high_entropy(text: &str) -> bool {
if text.len() < 8 {
return false;
}
let analyzer = EntropyAnalyzer::new();
let result = analyzer.analyze(text);
result.is_likely_secret
}
/// Calculate basic Shannon entropy for a string
pub fn shannon_entropy(text: &str) -> f64 {
let analyzer = EntropyAnalyzer::new();
let frequencies = analyzer.calculate_char_frequencies(text);
analyzer.calculate_shannon_entropy(&frequencies, text.len())
}
/// Extract the highest entropy substring of minimum length
pub fn highest_entropy_substring(text: &str, min_length: usize) -> Option<String> {
let analyzer = EntropyAnalyzer::new();
let candidates = analyzer.extract_high_entropy_substrings(text, min_length);
// Rank by overall confidence rather than raw Shannon entropy. Raw
// per-character entropy is a very local measure: among the many
// overlapping windows this function considers (e.g. a 20-character
// secret produces windows of every length from `min_length` to 20
// starting at every offset), trimming a single repeated character
// off one end can nudge the raw entropy of a *smaller* window
// slightly above that of the full, "best" candidate even though it
// throws away real signal (length, charset diversity) about how
// secret-like the match is. Confidence already accounts for that,
// and is what `extract_high_entropy_substrings` itself uses to rank
// candidates, so use it here too for a stable, meaningful pick.
candidates
.into_iter()
.max_by(|a, b| a.1.confidence.partial_cmp(&b.1.confidence).unwrap())
.map(|(substring, _)| substring)
}
/// Analyze text and return entropy statistics
pub fn entropy_stats(text: &str) -> (f64, f64, usize) {
let analyzer = EntropyAnalyzer::new();
let result = analyzer.analyze(text);
(result.shannon_entropy, result.normalized_entropy, result.charset_size)
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_entropy_analysis() {
let analyzer = EntropyAnalyzer::new();
// High entropy string (AWS key format)
let high_entropy = analyzer.analyze("AKIAIOSFODNN7EXAMPLE");
assert!(high_entropy.shannon_entropy > 3.0);
assert!(high_entropy.normalized_entropy > 0.5);
// Low entropy string
let low_entropy = analyzer.analyze("aaaaaaaaaaaaa");
assert!(low_entropy.shannon_entropy < 1.0);
assert!(low_entropy.normalized_entropy < 0.3);
}
#[test]
fn test_secret_detection() {
let analyzer = EntropyAnalyzer::new();
// Should detect as likely secret
assert!(analyzer.analyze("wJalrXUtnFEMI/K7MDENG/bPxRfiCYEXAMPLEKEY").is_likely_secret);
assert!(analyzer.analyze("sk_test_FAKE1234567890ABCDEF").is_likely_secret);
// Should not detect as secret
assert!(!analyzer.analyze("hello_world_example").is_likely_secret);
assert!(!analyzer.analyze("12345678901234567890").is_likely_secret);
assert!(!analyzer.analyze("configuration_value").is_likely_secret);
}
#[test]
fn test_natural_language_detection() {
let analyzer = EntropyAnalyzer::new();
assert!(analyzer.looks_like_natural_language("the quick brown fox"));
assert!(analyzer.looks_like_natural_language("you can see the dog"));
assert!(!analyzer.looks_like_natural_language("xk2j9mL4nQ8pR7vS"));
}
#[test]
fn test_pattern_recognition() {
let analyzer = EntropyAnalyzer::new();
// Should recognize secret-like patterns
assert!(analyzer.has_secret_like_patterns("Aa1@"));
assert!(analyzer.has_secret_like_patterns("MyS3cr3t!"));
// Should not recognize simple patterns
assert!(!analyzer.has_secret_like_patterns("hello"));
assert!(!analyzer.has_secret_like_patterns("12345"));
}
#[test]
fn test_utility_functions() {
use super::utils::*;
assert!(has_high_entropy("AKIAIOSFODNN7EXAMPLE"));
assert!(!has_high_entropy("hello"));
let entropy = shannon_entropy("AKIAIOSFODNN7EXAMPLE");
assert!(entropy > 3.0);
let highest = highest_entropy_substring("hello AKIAIOSFODNN7EXAMPLE world", 8);
assert!(highest.is_some());
assert!(highest.unwrap().contains("AKIA"));
}
#[test]
fn test_confidence_scoring() {
let analyzer = EntropyAnalyzer::new();
// High confidence for good secrets
let aws_key = analyzer.analyze("AKIAIOSFODNN7EXAMPLE");
assert!(aws_key.confidence > 0.7);
// Low confidence for non-secrets
let simple = analyzer.analyze("hello_world");
assert!(simple.confidence < 0.3);
}
}