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reasampler/src/core/instrument/engine/period_detect.h
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#pragma once
// period_detect — the source's own fundamental period, estimated ONCE per load from decoded
// PCM, for the Preserve splice's pitch-synchronous jump (pitch_shift.h's periodAlignedJump).
//
// Runs off the audio thread BY LINK GRAPH: sampler_core does not link this module, so no
// translation unit on the render path can name detectPeriod. A sampler's source is fixed and
// fully known at load, which is the whole reason a detector is affordable here at all.
#include <cstddef>
#include <cstdint>
#include <vector>
#include "core/audio/peaks.h" // AudioSample (float)
namespace reasampler::instrument::engine {
using audio::AudioSample;
// The period the source repeats at, in SOURCE frames, or none. Derived from the audio, never
// authored and never persisted — this is a cache, not state.
struct PeriodEstimate {
double frames = 0.0; // 0 = no single period (inharmonic, polyphonic, percussive, noise)
// 1 - the accepted dissimilarity, [0,1]; 0 when frames == 0. Diagnostic: the accept decision
// is `valid()` alone and the loader takes `.frames` without reading this — its only reader is
// tests/test_period_detect.cpp. It is deliberately NOT a second accept gate: every
// accepted probe already cleared kPeriodDetectThreshold, so confidence > 0.88 holds by
// construction and any gate below that is a no-op while any gate above it is a tuned number
// with nothing to derive it from.
double confidence = 0.0;
bool valid() const { return frames > 0.0; }
};
// Fundamental bounds the search runs over. The LOW bound is the load-bearing one: a period
// only buys anything while it fits the splice's reachable jump (~1.25 windows, i.e. ~16 Hz at
// the product's 50 ms window), so searching below it would return periods the shifter must
// reject anyway. The high bound is generous — a period that short already has dozens of
// aligned landing points inside the search interval, so alignment was never in question there.
inline constexpr double kPeriodDetectMinHz = 15.0;
inline constexpr double kPeriodDetectMaxHz = 2000.0;
// YIN's absolute threshold: the first dissimilarity dip below this IS the period. A source
// that never dips below it has no single period, and detection returns none rather than the
// global minimum — the difference between "quiet but real" and "the least bad of nothing".
inline constexpr double kPeriodDetectThreshold = 0.12;
// The longest lag searched, in frames — THE one derivation of it. A probe block is twice this,
// and `periodAnalysisSpan`'s minimum is one block; both read this rather than re-deriving the
// same expression, so "choosing the loop never narrows the search band" is a fact and not a
// coincidence between two literals.
inline std::size_t longestLagFrames(int sampleRate) {
return static_cast<std::size_t>(static_cast<double>(sampleRate) / kPeriodDetectMinHz);
}
// How many blocks across the sample are estimated independently, and how far apart two of them
// may land and still be called the same period. Agreement is what separates a genuinely
// periodic source from one whose opening happens to look periodic.
//
// Probes are placed by POSITION and may overlap: what the rule needs is estimates from
// different places in the source, and two blocks a full longest-lag apart already differ by a
// whole cycle of the lowest frequency in the band, so neither can be a trivially shifted copy
// of the other at any period searched. Requiring DISJOINT blocks instead left every source
// under ~4x the longest lag with a single probe and so with no agreement to check at all.
inline constexpr int kPeriodDetectProbes = 4;
inline constexpr double kPeriodDetectAgreeTolerance = 0.02; // 2% of the median
// Estimates the fundamental period of `pcm[from, from+count)` at `sampleRate`. Cost is bounded
// by the constants above, not by the span length: at most kPeriodDetectProbes blocks of ~2 x
// the longest searched lag are analysed however long the span is. Allocates; never call from
// process(). An out-of-range span estimates nothing and returns none.
//
// Returns an invalid estimate (frames == 0) for silence, noise, and anything whose probes
// disagree — the caller's documented fallback is the fixed-window splice geometry.
//
// A STRICT MAJORITY of the probes that CARRIED SIGNAL must agree. Silence is excluded from that
// denominator and a failure to find a period is not: a silent block is no evidence either way,
// whereas a block that carries signal and repeats at no lag is evidence against a single period.
// A capture with a silent head or tail therefore still detects, while a mostly-noise source with
// one pitched burst is refused rather than accepted on that burst alone. A LONE piece of
// evidence — the whole span too short for a second probe position, or every other probe silent —
// is accepted on the absolute threshold alone, because there is nothing to rule against it and
// refusing would deny every short one-shot a period.
//
// The answer is NOT monotone in span length, and cannot be made so: no rule that refuses a
// two-and-two split at four probes can also accept a lone probe unconditionally, and the probe
// count steps at 3x, 4x, 5x and 6x the longest lag before saturating. What IS pinned, by a
// length sweep in the tests, is that a STATIONARY source detects at every length — a source
// whose period varies by more than kPeriodDetectAgreeTolerance is the only class that moves
// with the count, and refusing it is this contract's own answer.
PeriodEstimate detectPeriod(const std::vector<AudioSample>& pcm, int sampleRate,
std::size_t from, std::size_t count);
// The whole source.
PeriodEstimate detectPeriod(const std::vector<AudioSample>& pcm, int sampleRate);
// The frames detection should analyse for a capture that carries a sustain loop, and the reason
// the answer is not simply "all of them": under Gate the loop region is asymptotically ALL the
// splicer plays, so a phrase whose head is pitched differently from its sustain would otherwise
// disagree its way to none over the whole source. `[loopStart, loopEnd)` is used only when it is
// at least one full probe block — `2 * longestLagFrames(sampleRate)`, the span below which
// detectPeriod starts shortening its own search band — so choosing the narrower span never costs
// search-band WIDTH. It can still change the ANSWER: the agreement rule rules on content, so a
// source periodic over most of its length whose loop region is noisy detects whole and refuses
// over the loop. That is the intent — the loop is what a Gate voice plays.
// Anything else (no loop, an out-of-range span, a short one) yields the whole source.
//
// It takes NO play mode, deliberately, even though loop_span's resolveLoop does and refuses the
// loop outright under Trigger. A loop edit is structurally reload-bound — it moves the PCM span
// this cache was derived from — whereas play mode's exclusion from live delivery is a listed,
// reversible decision (deck_groups' isLiveDeckParam). Keying a load-time cache on it would work
// today and silently serve a stale period the day that decision is revisited.
//
// The read path's loop-validity authority is loop_span's resolveLoop; the bounds check here is
// on a cache input, not a second validity rule, and it refuses rather than repairs the same way.
struct AnalysisSpan {
std::size_t from = 0;
std::size_t count = 0;
};
AnalysisSpan periodAnalysisSpan(std::size_t frameCount, std::int64_t loopStart,
std::int64_t loopEnd, bool hasLoop, int sampleRate);
} // namespace reasampler::instrument::engine