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package signature
import (
"crypto/sha256"
"encoding/binary"
"encoding/hex"
"sort"
)
// What a signature is.
const (
// KindCue is a show's own furniture: its opening, its break stinger, its credits. It
// belongs to one show and does not expire -- it is part of what the show is.
KindCue = "cue"
// KindCopy is one advertisement. It belongs to nobody, turns up in any show running the
// same campaign, and stops being worth matching against once the campaign ends.
KindCopy = "copy"
)
// CopyLifetimeSeconds is how long an advertisement is kept after it was last heard.
//
// Six months. Campaigns run for weeks and return, and a signature costs little to hold, so this
// errs towards remembering. A cue is never aged out at all; see [Library.Age].
const CopyLifetimeSeconds = int64(180 * 24 * 60 * 60)
// matchVotes is how much agreement on one offset counts as the same audio.
//
// Measured on the live corpus: real repeats scored 813-1564 votes and coincidences 27-94, so
// anything in between separates them. Set near the bottom of that gap rather than the middle,
// because a match is proposed here and confirmed by correlation before anything is published --
// missing a real advertisement is worse than proposing one that gets thrown out.
const matchVotes = 150
// Observation is one sighting of a stretch of audio worth remembering.
type Observation struct {
Fingerprint Fingerprint
// Kind is [KindCue] or [KindCopy].
Kind string
// FeedURL is the show a cue belongs to. Ignored for a copy.
FeedURL string
DurationMs int64
// Partners is how many episodes in this one batch carried the audio, as detection
// measured it. Within-batch corroboration, which is not the same thing as independence.
Partners int
// Confirmed is set when the listener said so himself -- pressing "this is an ad", or
// marking a break the detector found as right. The strongest evidence there is: detection
// infers from repetition, and he heard it.
Confirmed bool
// Occasion is what makes two sightings independent. A whole batch of episodes mirrored in
// one minute is one occasion, however many of them carried the audio -- they all ran
// whatever campaign was running that minute, which is exactly why eight agreeing episodes
// proved nothing about an intro.
Occasion string
}
// Entry is a signature the library holds.
type Entry struct {
ID string `json:"id"`
Kind string `json:"kind"`
FeedURL string `json:"feedUrl,omitempty"`
DurationMs int64 `json:"durationMs"`
// Partners is the most episodes ever seen sharing this in a single batch.
Partners int `json:"partners,omitempty"`
// Confirmed is whether the listener ever said this is what it is. Never unset once set --
// he does not un-hear it next week.
Confirmed bool `json:"confirmed,omitempty"`
Fingerprint Fingerprint `json:"fingerprint"`
// Occasions are the distinct times this was seen, in order. Its length is the confidence.
Occasions []string `json:"occasions"`
FirstSeenUnix int64 `json:"firstSeenUnix"`
LastSeenUnix int64 `json:"lastSeenUnix"`
}
// Confidence is how many separate occasions this signature has been seen on.
func (e *Entry) Confidence() int { return len(e.Occasions) }
// Trusted says whether this is worth matching against, and the rule differs by kind.
//
// A cue needs [minOccasions] separate occasions, no exceptions. That is the independence test
// the withheld intro and outro offsets have been waiting for: eight episodes mirrored in one
// minute all carry whatever campaign is running, so agreement across them says nothing about
// whether audio is the show's own. Only agreement across *weeks* does.
//
// An advertisement is different, and the difference is not a loophole. Detection publishes a
// break only because the audio recurred across several episodes, verified by correlating them
// against each other -- so a copy that arrived with partners is already a confirmed repeat, not
// a single unsupported sighting. Holding it back for a second week would mean the library could
// only ever propose advertising that detection had already found twice, which is precisely when
// it has nothing to add.
func (e *Entry) Trusted(minOccasions int) bool {
// Nothing outranks the listener. Detection and the occasion count are both ways of
// inferring what this audio is; he was there.
if e.Confirmed {
return true
}
if e.Confidence() >= minOccasions {
return true
}
return e.Kind == KindCopy && e.Partners >= 2
}
func (e *Entry) seenOn(occasion string) bool {
for _, o := range e.Occasions {
if o == occasion {
return true
}
}
return false
}
// Library is every signature worth matching against.
type Library struct {
entries []*Entry
index *Index
}
// NewLibrary returns an empty library.
func NewLibrary() *Library { return &Library{index: NewIndex()} }
// Len is how many signatures are held, trusted or not.
func (l *Library) Len() int { return len(l.entries) }
// Observe records a sighting, merging it into an existing signature when it is the same audio.
// It returns the entry and whether it was new.
func (l *Library) Observe(o Observation, atUnix int64) (*Entry, bool) {
if len(o.Fingerprint.Hashes) == 0 {
return nil, false
}
if existing := l.same(o); existing != nil {
if !existing.seenOn(o.Occasion) {
existing.Occasions = append(existing.Occasions, o.Occasion)
}
if atUnix > existing.LastSeenUnix {
existing.LastSeenUnix = atUnix
}
if o.Partners > existing.Partners {
existing.Partners = o.Partners
}
if o.Confirmed {
existing.Confirmed = true
}
return existing, false
}
e := &Entry{
ID: fingerprintID(o.Fingerprint),
Kind: o.Kind,
DurationMs: o.DurationMs,
Partners: o.Partners,
Confirmed: o.Confirmed,
Fingerprint: o.Fingerprint,
Occasions: []string{o.Occasion},
FirstSeenUnix: atUnix,
LastSeenUnix: atUnix,
}
if o.Kind == KindCue {
e.FeedURL = o.FeedURL
}
l.entries = append(l.entries, e)
l.reindex()
return e, true
}
// same finds the held signature that is this audio, if any. By matching rather than by id,
// because the same advertisement re-encoded by a different CDN is not byte-identical and would
// otherwise accumulate as a new signature every week.
func (l *Library) same(o Observation) *Entry {
for _, hit := range l.index.Search(o.Fingerprint) {
if hit.Votes < matchVotes {
continue
}
if e := l.byID(hit.ID); e != nil && e.Kind == o.Kind {
return e
}
}
return nil
}
func (l *Library) byID(id string) *Entry {
for _, e := range l.entries {
if e.ID == id {
return e
}
}
return nil
}
// Confident returns the signatures seen on at least minSightings separate occasions.
func (l *Library) Confident(minSightings int) []*Entry {
var out []*Entry
for _, e := range l.entries {
if e.Confidence() >= minSightings {
out = append(out, e)
}
}
return out
}
// Trusted returns the signatures worth matching against; see [Entry.Trusted].
func (l *Library) Trusted(minOccasions int) []*Entry {
var out []*Entry
for _, e := range l.entries {
if e.Trusted(minOccasions) {
out = append(out, e)
}
}
return out
}
// Age forgets advertisements nobody has heard in a long time, and returns how many went.
//
// Cues are never aged out: a show's break stinger is not a campaign, and a show that goes quiet
// for a year comes back using the same one. They go when the show does; see [Library.Forget].
func (l *Library) Age(nowUnix int64) int {
kept := l.entries[:0]
dropped := 0
for _, e := range l.entries {
if e.Kind == KindCopy && nowUnix-e.LastSeenUnix > CopyLifetimeSeconds {
dropped++
continue
}
kept = append(kept, e)
}
l.entries = kept
if dropped > 0 {
l.reindex()
}
return dropped
}
// Disown drops every signature matching this audio, and returns how many went.
//
// For audio the listener says is the programme. It is the worst failure this system has: a
// signature built from programme would cut the programme, in every episode carrying it, until
// somebody noticed. So his "no" removes it outright rather than lowering a score.
func (l *Library) Disown(fp Fingerprint) int {
if len(fp.Hashes) == 0 {
return 0
}
doomed := map[string]bool{}
for _, hit := range l.index.Search(fp) {
if hit.Votes >= matchVotes {
doomed[hit.ID] = true
}
}
if len(doomed) == 0 {
return 0
}
kept := l.entries[:0]
for _, e := range l.entries {
if !doomed[e.ID] {
kept = append(kept, e)
}
}
l.entries = kept
l.reindex()
return len(doomed)
}
// Forget drops the cues belonging to a show, for when it is unsubscribed. Copies are untouched:
// an advertisement heard in that show is not the show's.
func (l *Library) Forget(feedURL string) int {
kept := l.entries[:0]
dropped := 0
for _, e := range l.entries {
if e.Kind == KindCue && e.FeedURL == feedURL {
dropped++
continue
}
kept = append(kept, e)
}
l.entries = kept
if dropped > 0 {
l.reindex()
}
return dropped
}
// Match is where a held signature turns up in an episode.
type Match struct {
Entry *Entry
StartMs int64
EndMs int64
Votes int
}
// Match reports which trusted signatures appear in the given audio, and where.
//
// A proposal, not a verdict. The offset is accurate to about a frame and the extent is assumed
// to be the signature's own length, both of which want confirming by correlation before anything
// is cut from what somebody is listening to.
func (l *Library) Match(fp Fingerprint, minSightings int) []Match {
trusted := map[string]*Entry{}
for _, e := range l.Trusted(minSightings) {
trusted[e.ID] = e
}
if len(trusted) == 0 {
return nil
}
// The query here is the episode and the index holds the signatures, so a hit's offset is
// where the episode sits inside the signature -- negated, where the signature sits in the
// episode.
var out []Match
for _, hit := range l.index.Search(fp) {
e, ok := trusted[hit.ID]
if !ok || hit.Votes < matchVotes {
continue
}
start := -hit.OffsetMs
if start < 0 {
start = 0
}
out = append(out, Match{Entry: e, StartMs: start, EndMs: start + e.DurationMs, Votes: hit.Votes})
}
sort.Slice(out, func(i, j int) bool { return out[i].StartMs < out[j].StartMs })
return out
}
func (l *Library) reindex() {
l.index = NewIndex()
for _, e := range l.entries {
l.index.Add(e.ID, e.Fingerprint)
}
}
// fingerprintID names a signature by its own contents, so the same audio observed twice gets the
// same name without anything having to remember it.
func fingerprintID(fp Fingerprint) string {
h := sha256.New()
buf := make([]byte, 4)
for _, v := range fp.Hashes {
binary.LittleEndian.PutUint32(buf, v)
h.Write(buf)
}
return hex.EncodeToString(h.Sum(nil))[:16]
}
|