note: close every value type's domain at construction, so resolveNote is finite for every constructible input

Division and OffsetAmount get single normalizing doors and private constructors; fromBpm validates by running the conversions rather than their reciprocal. Readers drop their re-clamps and default labels.
This commit is contained in:
2026-07-30 20:37:12 -04:00
parent d923b352ae
commit a80eb76c1f
11 changed files with 398 additions and 119 deletions
+23 -3
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@@ -31,6 +31,19 @@ diverge: the capture-signal popup that edits it and the bake that renders it.
the ladder ever gained a rung or a modifier. the ladder ever gained a rung or a modifier.
- **An offset stores the denomination it was entered in** — see `OffsetAmount` in - **An offset stores the denomination it was entered in** — see `OffsetAmount` in
`note_program.h` for why. `note_program.h` for why.
- **Every value type establishes its domain at construction, and nothing downstream can
fail.** `Tempo::fromBpm` rejects, alone, because an unusable BPM has no nearest usable one
to fall to. `Division`, `OffsetAmount`, and `Velocity` clamp, because an off-ladder rung,
an unrepresentable magnitude, and an out-of-range velocity each do. Each has exactly one
door (`makeDivision`, `offsetOf`, `Velocity::of`) and a private constructor behind it, so
an out-of-domain value cannot be held, only passed in. That is what lets every reader
branch without a fallback, equality compare fields raw, and `resolveNote` return finite
times for every constructible input with no failure path and no validity flag.
- **The module will not tell a caller a record is junk, because a junk record cannot exist
here.** Corruption is only visible where raw bytes are: a codec sees both the bytes it
read and the value construction produced, and reporting the difference is the codec's job.
Do not add a validity flag to `NoteProgram` or `ResolvedNote` to carry that signal upward
`windowCollapsed` describes a legal program, and is not the seed of an error channel.
- **Does not carry a MIDI note number.** `NoteProgram` describes timing and velocity only; - **Does not carry a MIDI note number.** `NoteProgram` describes timing and velocity only;
render pitch is deferred to a later additive field (Ξ-W2) rather than assumed to live render pitch is deferred to a later additive field (Ξ-W2) rather than assumed to live
here. here.
@@ -41,9 +54,11 @@ diverge: the capture-signal popup that edits it and the bake that renders it.
exponent of its length in quarter notes, -4..8), each straight, dotted (x3/2), or triplet exponent of its length in quarter notes, -4..8), each straight, dotted (x3/2), or triplet
(x2/3); the 39-entry picker order; and the `"1/8."` / `"1/4t"` label notation. Beats only (x2/3); the 39-entry picker order; and the `"1/8."` / `"1/4t"` label notation. Beats only
— see `musical_division.h` for why it links no tempo. — see `musical_division.h` for why it links no tempo.
- `tempo` — a validated project tempo plus every beats <-> seconds <-> ms conversion. - `tempo` — a validated project tempo plus every beats <-> seconds <-> ms conversion, and
Construction (`Tempo::fromBpm`) is the only place a bad BPM is rejected, which is what `kMaxConvertibleMagnitude`, the beats-or-ms ceiling the whole directory caps its domains
lets each conversion be total and every downstream resolver be failure-free. to. `fromBpm` validates by running the extreme conversions rather than by testing the
`60/bpm` reciprocal they start from — that reciprocal stays finite well past the point the
multiply after it overflows.
- `note_program``Velocity` (clamped 1..127), the denominated `OffsetAmount` and its unit - `note_program``Velocity` (clamped 1..127), the denominated `OffsetAmount` and its unit
toggle, the anchored `StartOffset` / `EndOffset`, the `NoteProgram` record, and toggle, the anchored `StartOffset` / `EndOffset`, the `NoteProgram` record, and
`resolveNote`. `resolveNote`.
@@ -64,3 +79,8 @@ diverge: the capture-signal popup that edits it and the bake that renders it.
Both are legal; `resolveNote` only refuses to invert the window. Both are legal; `resolveNote` only refuses to invert the window.
- **ms <-> beats round-trips are lossless to double precision, not bit-identical.** The - **ms <-> beats round-trips are lossless to double precision, not bit-identical.** The
conversion is a multiply/divide pair; compare with an epsilon. conversion is a multiply/divide pair; compare with an epsilon.
- **Editing the ms field of a beats-stored offset stores beats, and the ms readout will then
move with the tempo.** `withMsView` keeps the stored denomination on purpose, so typing 250
into the ms field of a beats offset stores 0.5 beats at 120 BPM. That is the intended
semantic, but it is a UI-visible surprise worth a word in the popup: `redenominate` — the
unit toggle — is the only thing that changes which denomination is stored.
+1 -2
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@@ -6,8 +6,7 @@ reasampler_test(musical_division LINK musical_division)
reasampler_pure_library(tempo SOURCES tempo.cpp) reasampler_pure_library(tempo SOURCES tempo.cpp)
reasampler_test(tempo LINK tempo) reasampler_test(tempo LINK tempo)
# note_program links exactly these two: it composes the ladder and the tempo and nothing # note_program links exactly these two: it composes the ladder and the tempo and nothing else.
# else (see note_program.h).
reasampler_pure_library(note_program reasampler_pure_library(note_program
SOURCES note_program.cpp SOURCES note_program.cpp
LINK PUBLIC musical_division tempo) LINK PUBLIC musical_division tempo)
+14 -18
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@@ -21,28 +21,26 @@ int clampExponent(int quarterExponent) {
return (std::max)(kMinQuarterExponent, (std::min)(kMaxQuarterExponent, quarterExponent)); return (std::max)(kMinQuarterExponent, (std::min)(kMaxQuarterExponent, quarterExponent));
} }
// The underlying type is unsigned, so an out-of-enum byte can only be too large.
DivisionModifier clampModifier(DivisionModifier m) {
return static_cast<int>(m) < kModifierCount ? m : DivisionModifier::Straight;
}
} // namespace } // namespace
bool operator==(Division a, Division b) { bool operator==(Division a, Division b) {
// Normalize both sides through makeDivision first: a persisted off-ladder exponent must return a.quarterExponent() == b.quarterExponent() && a.modifier() == b.modifier();
// compare equal to its clamped form, the same as every other reader in this file.
const Division la = makeDivision(a.quarterExponent, a.modifier);
const Division lb = makeDivision(b.quarterExponent, b.modifier);
return la.quarterExponent == lb.quarterExponent && la.modifier == lb.modifier;
} }
bool operator!=(Division a, Division b) { return !(a == b); } bool operator!=(Division a, Division b) { return !(a == b); }
Division makeDivision(int quarterExponent, DivisionModifier modifier) { Division makeDivision(int quarterExponent, DivisionModifier modifier) {
Division d; return Division(static_cast<std::int8_t>(clampExponent(quarterExponent)),
d.quarterExponent = static_cast<std::int8_t>(clampExponent(quarterExponent)); clampModifier(modifier));
d.modifier = modifier;
return d;
} }
double divisionBeats(Division d) { double divisionBeats(Division d) {
const Division legal = makeDivision(d.quarterExponent, d.modifier); return std::ldexp(1.0, d.quarterExponent()) * modifierFactor(d.modifier());
return std::ldexp(1.0, legal.quarterExponent) * modifierFactor(legal.modifier);
} }
Division divisionAt(int index) { Division divisionAt(int index) {
@@ -52,20 +50,18 @@ Division divisionAt(int index) {
} }
int divisionIndex(Division d) { int divisionIndex(Division d) {
const Division legal = makeDivision(d.quarterExponent, d.modifier); return (d.quarterExponent() - kMinQuarterExponent) * kModifierCount
return (legal.quarterExponent - kMinQuarterExponent) * kModifierCount + static_cast<int>(d.modifier());
+ static_cast<int>(legal.modifier);
} }
std::string divisionLabel(Division d) { std::string divisionLabel(Division d) {
const Division legal = makeDivision(d.quarterExponent, d.modifier); const int e = d.quarterExponent();
const int e = legal.quarterExponent;
// Both branches meet at e == 2 ("1/1"): a division's written form is its length in // Both branches meet at e == 2 ("1/1"): a division's written form is its length in
// whole notes, which is 2^(e-2). // whole notes, which is 2^(e-2).
std::string label = e <= 2 ? "1/" + std::to_string(1 << (2 - e)) std::string label = e <= 2 ? "1/" + std::to_string(1 << (2 - e))
: std::to_string(1 << (e - 2)) + "/1"; : std::to_string(1 << (e - 2)) + "/1";
if (legal.modifier == DivisionModifier::Dotted) label += '.'; if (d.modifier() == DivisionModifier::Dotted) label += '.';
else if (legal.modifier == DivisionModifier::Triplet) label += 't'; else if (d.modifier() == DivisionModifier::Triplet) label += 't';
return label; return label;
} }
+33 -8
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@@ -6,6 +6,7 @@
#include <cstdint> #include <cstdint>
#include <string> #include <string>
#include <type_traits>
namespace reasampler::instrument::note { namespace reasampler::instrument::note {
@@ -24,19 +25,43 @@ inline constexpr int kRungCount = kMaxQuarterExponent - kMinQuarterExponent + 1;
inline constexpr int kModifierCount = 3; inline constexpr int kModifierCount = 3;
inline constexpr int kDivisionCount = kRungCount * kModifierCount; inline constexpr int kDivisionCount = kRungCount * kModifierCount;
struct Division { // The longest programmable note — the dotted top rung — so a caller composing this ladder
std::int8_t quarterExponent = 0; // 1/4 // with the tempo conversions can check the two domains against each other at compile time.
DivisionModifier modifier = DivisionModifier::Straight; inline constexpr double kMaxDivisionBeats = (1 << kMaxQuarterExponent) * 1.5;
class Division;
// Off-ladder inputs clamp rather than reject: the only ways to reach one are a corrupt
// persisted record or a picker bug, and the nearest legal length beats a nonsense duration.
// An unnamed modifier byte has no nearest rung to fall to, so it takes the field's default.
Division makeDivision(int quarterExponent, DivisionModifier modifier);
// In-domain by construction — `makeDivision` is the only door and it clamps BOTH fields, so
// every reader below trusts the stored pair instead of re-clamping it, and equality compares
// the two fields raw without disagreeing with any of them.
class Division {
public:
Division() = default; // 1/4 straight
constexpr std::int8_t quarterExponent() const { return quarterExponent_; }
constexpr DivisionModifier modifier() const { return modifier_; }
private:
Division(std::int8_t quarterExponent, DivisionModifier modifier)
: quarterExponent_(quarterExponent), modifier_(modifier) {}
friend Division makeDivision(int quarterExponent, DivisionModifier modifier);
std::int8_t quarterExponent_ = 0;
DivisionModifier modifier_ = DivisionModifier::Straight;
}; };
static_assert(!std::is_constructible_v<Division, int, DivisionModifier>,
"makeDivision must be the only way to give a Division a rung");
bool operator==(Division a, Division b); bool operator==(Division a, Division b);
bool operator!=(Division a, Division b); bool operator!=(Division a, Division b);
// Off-ladder exponents clamp rather than reject: the only ways to reach one are a corrupt // Length in beats (quarter notes). Always > 0, and never above kMaxDivisionBeats.
// persisted record or a picker bug, and the nearest legal length beats a nonsense duration.
Division makeDivision(int quarterExponent, DivisionModifier modifier);
// Length in beats (quarter notes). Always > 0.
double divisionBeats(Division d); double divisionBeats(Division d);
// Picker order: shortest rung first, straight/dotted/triplet within each rung. Index is // Picker order: shortest rung first, straight/dotted/triplet within each rung. Index is
+41 -28
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@@ -3,6 +3,7 @@
#include "core/instrument/note/note_program.h" #include "core/instrument/note/note_program.h"
#include <algorithm> #include <algorithm>
#include <cmath>
namespace reasampler::instrument::note { namespace reasampler::instrument::note {
@@ -15,56 +16,69 @@ Velocity Velocity::of(int value) {
bool operator==(Velocity a, Velocity b) { return a.value() == b.value(); } bool operator==(Velocity a, Velocity b) { return a.value() == b.value(); }
bool operator==(OffsetAmount a, OffsetAmount b) { bool operator==(OffsetAmount a, OffsetAmount b) {
return a.magnitude == b.magnitude && a.denomination == b.denomination; return a.magnitude() == b.magnitude() && a.denomination() == b.denomination();
} }
bool operator!=(OffsetAmount a, OffsetAmount b) { return !(a == b); } bool operator!=(OffsetAmount a, OffsetAmount b) { return !(a == b); }
OffsetAmount offsetFromMs(double ms) { return {ms, Denomination::Milliseconds}; } OffsetAmount offsetOf(double magnitude, Denomination denomination) {
const double bounded =
OffsetAmount offsetFromBeats(double beats) { return {beats, Denomination::Beats}; } std::isnan(magnitude) ? 0.0
: (std::max)(-kMaxConvertibleMagnitude,
// All three readers switch on Denomination with the same default (Milliseconds, the (std::min)(kMaxConvertibleMagnitude, magnitude));
// struct's own default value) so a corrupt persisted record reads identically everywhere — const bool named = denomination == Denomination::Milliseconds
// a popup and a bake must never disagree on an out-of-range denomination byte. || denomination == Denomination::Beats;
double offsetMs(OffsetAmount amount, Tempo tempo) { return OffsetAmount(bounded, named ? denomination : Denomination::Milliseconds);
switch (amount.denomination) {
case Denomination::Beats: return tempo.beatsToMs(amount.magnitude);
case Denomination::Milliseconds:
default: return amount.magnitude;
} }
OffsetAmount offsetFromMs(double ms) { return offsetOf(ms, Denomination::Milliseconds); }
OffsetAmount offsetFromBeats(double beats) { return offsetOf(beats, Denomination::Beats); }
// Milliseconds is pinned AFTER the switch rather than by a `default:` inside it, so the
// switch stays exhaustive over the enum and a third denomination trips switch-exhaustiveness
// diagnostics here instead of silently resolving as ms in all three. Those diagnostics are
// off at this project's warning level, so read it as a signpost — the tests are the gate.
double offsetMs(OffsetAmount amount, Tempo tempo) {
switch (amount.denomination()) {
case Denomination::Beats: return tempo.beatsToMs(amount.magnitude());
case Denomination::Milliseconds: break;
}
return amount.magnitude();
} }
double offsetBeats(OffsetAmount amount, Tempo tempo) { double offsetBeats(OffsetAmount amount, Tempo tempo) {
switch (amount.denomination) { switch (amount.denomination()) {
case Denomination::Beats: return amount.magnitude; case Denomination::Beats: return amount.magnitude();
case Denomination::Milliseconds: case Denomination::Milliseconds: break;
default: return tempo.msToBeats(amount.magnitude);
} }
return tempo.msToBeats(amount.magnitude());
} }
double offsetSeconds(OffsetAmount amount, Tempo tempo) { double offsetSeconds(OffsetAmount amount, Tempo tempo) {
switch (amount.denomination) { switch (amount.denomination()) {
case Denomination::Beats: return tempo.beatsToSeconds(amount.magnitude); case Denomination::Beats: return tempo.beatsToSeconds(amount.magnitude());
case Denomination::Milliseconds: case Denomination::Milliseconds: break;
default: return msToSeconds(amount.magnitude);
} }
return msToSeconds(amount.magnitude());
} }
OffsetAmount redenominate(OffsetAmount amount, Denomination to, Tempo tempo) { OffsetAmount redenominate(OffsetAmount amount, Denomination to, Tempo tempo) {
if (amount.denomination == to) return amount; // Route the requested target through the same door a stored denomination goes through,
return to == Denomination::Beats ? offsetFromBeats(offsetBeats(amount, tempo)) // so an out-of-enum target lands where a corrupt stored one does.
const Denomination target = offsetOf(0.0, to).denomination();
if (amount.denomination() == target) return amount;
return target == Denomination::Beats ? offsetFromBeats(offsetBeats(amount, tempo))
: offsetFromMs(offsetMs(amount, tempo)); : offsetFromMs(offsetMs(amount, tempo));
} }
OffsetAmount withMsView(OffsetAmount amount, double ms, Tempo tempo) { OffsetAmount withMsView(OffsetAmount amount, double ms, Tempo tempo) {
return amount.denomination == Denomination::Milliseconds return amount.denomination() == Denomination::Beats ? offsetFromBeats(tempo.msToBeats(ms))
? offsetFromMs(ms) : offsetFromMs(ms);
: offsetFromBeats(tempo.msToBeats(ms));
} }
OffsetAmount withBeatsView(OffsetAmount amount, double beats, Tempo tempo) { OffsetAmount withBeatsView(OffsetAmount amount, double beats, Tempo tempo) {
return amount.denomination == Denomination::Beats return amount.denomination() == Denomination::Beats
? offsetFromBeats(beats) ? offsetFromBeats(beats)
: offsetFromMs(tempo.beatsToMs(beats)); : offsetFromMs(tempo.beatsToMs(beats));
} }
@@ -83,7 +97,6 @@ ResolvedNote resolveNote(const NoteProgram& program, Tempo tempo) {
const double rawEndSeconds = out.noteOffSeconds + offsetSeconds(program.end.amount(), tempo); const double rawEndSeconds = out.noteOffSeconds + offsetSeconds(program.end.amount(), tempo);
// An inverted window has no meaning to a renderer, so a far-negative end offset yields a // An inverted window has no meaning to a renderer, so a far-negative end offset yields a
// zero-length capture the caller can reject rather than a negative one it cannot. // zero-length capture the caller can reject rather than a negative one it cannot.
// windowCollapsed distinguishes that from a genuinely zero-length program.
out.windowCollapsed = rawEndSeconds < out.captureStartSeconds; out.windowCollapsed = rawEndSeconds < out.captureStartSeconds;
out.captureEndSeconds = (std::max)(rawEndSeconds, out.captureStartSeconds); out.captureEndSeconds = (std::max)(rawEndSeconds, out.captureStartSeconds);
out.velocity = program.velocity.value(); out.velocity = program.velocity.value();
+37 -8
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@@ -13,6 +13,11 @@
namespace reasampler::instrument::note { namespace reasampler::instrument::note {
// The ladder and the offsets both feed the tempo conversions, so both must sit inside the
// domain fromBpm validates — checked here because this is the one file that composes them.
static_assert(kMaxDivisionBeats <= kMaxConvertibleMagnitude,
"the note-length ladder must stay inside the tempo conversions' domain");
class Velocity { class Velocity {
public: public:
static constexpr int kMin = 1; // 0 is note-off in MIDI; a programmed note must sound static constexpr int kMin = 1; // 0 is note-off in MIDI; a programmed note must sound
@@ -21,7 +26,7 @@ public:
Velocity() = default; Velocity() = default;
static Velocity of(int value); // clamped into [kMin, kMax] static Velocity of(int value); // clamped into [kMin, kMax]
std::uint8_t value() const { return value_; } constexpr std::uint8_t value() const { return value_; }
private: private:
std::uint8_t value_ = 100; std::uint8_t value_ = 100;
@@ -31,20 +36,42 @@ bool operator==(Velocity a, Velocity b);
enum class Denomination : std::uint8_t { Milliseconds, Beats }; enum class Denomination : std::uint8_t { Milliseconds, Beats };
class OffsetAmount;
// The one door. Normalizes both fields so nothing downstream has to: a magnitude past
// +/-kMaxConvertibleMagnitude clamps to it, a NaN magnitude — which names no value to clamp
// toward — becomes zero, and a denomination outside the enum becomes Milliseconds, the
// field's own default. A corrupt persisted record therefore resolves to a plausible offset
// rather than an unrepresentable one, and no two readers can disagree about which.
OffsetAmount offsetOf(double magnitude, Denomination denomination);
OffsetAmount offsetFromMs(double ms);
OffsetAmount offsetFromBeats(double beats);
// One magnitude, in the denomination it was entered in; the other view is derived on demand // One magnitude, in the denomination it was entered in; the other view is derived on demand
// and never stored. Which one was entered is itself the intent: a beats offset must follow a // and never stored. Which one was entered is itself the intent: a beats offset must follow a
// tempo change and a ms offset must hold still, and only a stored denomination says which. // tempo change and a ms offset must hold still, and only a stored denomination says which.
struct OffsetAmount { class OffsetAmount {
double magnitude = 0.0; public:
Denomination denomination = Denomination::Milliseconds; OffsetAmount() = default;
constexpr double magnitude() const { return magnitude_; }
constexpr Denomination denomination() const { return denomination_; }
private:
OffsetAmount(double magnitude, Denomination denomination)
: magnitude_(magnitude), denomination_(denomination) {}
friend OffsetAmount offsetOf(double magnitude, Denomination denomination);
double magnitude_ = 0.0;
Denomination denomination_ = Denomination::Milliseconds;
}; };
static_assert(!std::is_constructible_v<OffsetAmount, double, Denomination>,
"offsetOf must be the only way to give an OffsetAmount a value");
bool operator==(OffsetAmount a, OffsetAmount b); bool operator==(OffsetAmount a, OffsetAmount b);
bool operator!=(OffsetAmount a, OffsetAmount b); bool operator!=(OffsetAmount a, OffsetAmount b);
OffsetAmount offsetFromMs(double ms);
OffsetAmount offsetFromBeats(double beats);
double offsetMs(OffsetAmount amount, Tempo tempo); double offsetMs(OffsetAmount amount, Tempo tempo);
double offsetBeats(OffsetAmount amount, Tempo tempo); double offsetBeats(OffsetAmount amount, Tempo tempo);
double offsetSeconds(OffsetAmount amount, Tempo tempo); double offsetSeconds(OffsetAmount amount, Tempo tempo);
@@ -100,7 +127,7 @@ struct ResolvedNote {
double noteOffSeconds = 0.0; // == the note's sounding length, note-on being 0 double noteOffSeconds = 0.0; // == the note's sounding length, note-on being 0
double captureStartSeconds = 0.0; // negative when the capture opens before the note double captureStartSeconds = 0.0; // negative when the capture opens before the note
double captureEndSeconds = 0.0; double captureEndSeconds = 0.0;
std::uint8_t velocity = 100; // resolveNote always overwrites this; matches Velocity's own default std::uint8_t velocity = Velocity{}.value(); // resolveNote always overwrites this
// True when the programmed end offset inverted the window and resolveNote collapsed it // True when the programmed end offset inverted the window and resolveNote collapsed it
// to zero length instead — lets a popup explain an empty window rather than just show one. // to zero length instead — lets a popup explain an empty window rather than just show one.
bool windowCollapsed = false; bool windowCollapsed = false;
@@ -108,6 +135,8 @@ struct ResolvedNote {
double captureLengthSeconds() const { return captureEndSeconds - captureStartSeconds; } double captureLengthSeconds() const { return captureEndSeconds - captureStartSeconds; }
}; };
// Total: every field of the result is finite for every constructible program and tempo,
// which is why there is no failure path here. See this directory's CLAUDE.md.
ResolvedNote resolveNote(const NoteProgram& program, Tempo tempo); ResolvedNote resolveNote(const NoteProgram& program, Tempo tempo);
} // namespace reasampler::instrument::note } // namespace reasampler::instrument::note
+9 -5
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@@ -11,11 +11,15 @@ constexpr double kSecondsPerMinute = 60.0;
std::optional<Tempo> Tempo::fromBpm(double beatsPerMinute) { std::optional<Tempo> Tempo::fromBpm(double beatsPerMinute) {
if (!std::isfinite(beatsPerMinute) || beatsPerMinute <= 0.0) return std::nullopt; if (!std::isfinite(beatsPerMinute) || beatsPerMinute <= 0.0) return std::nullopt;
// A subnormal BPM is finite and positive but overflows 60/bpm to +inf, which then turns // Guard by running the conversions, not by testing the 60/bpm reciprocal they start
// any beatsToSeconds(0) into NaN downstream — reject it here so every conversion below // from: that reciprocal stays finite for BPMs whose beatsToMs has already overflowed,
// stays total. // because the conversions scale it by up to kMaxConvertibleMagnitude. Both directions
if (!std::isfinite(kSecondsPerMinute / beatsPerMinute)) return std::nullopt; // are checked — one overflows at an absurdly slow tempo, the other at an absurdly fast
return Tempo(beatsPerMinute); // one. Calling them here is what keeps the guard from drifting away from what they do.
const Tempo candidate(beatsPerMinute);
if (!std::isfinite(candidate.beatsToMs(kMaxConvertibleMagnitude))) return std::nullopt;
if (!std::isfinite(candidate.msToBeats(kMaxConvertibleMagnitude))) return std::nullopt;
return candidate;
} }
double Tempo::secondsPerBeat() const { return kSecondsPerMinute / bpm_; } double Tempo::secondsPerBeat() const { return kSecondsPerMinute / bpm_; }
+8 -2
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@@ -16,10 +16,16 @@ inline constexpr double kMsPerSecond = 1000.0;
constexpr double msToSeconds(double ms) { return ms / kMsPerSecond; } constexpr double msToSeconds(double ms) { return ms / kMsPerSecond; }
constexpr double secondsToMs(double seconds) { return seconds * kMsPerSecond; } constexpr double secondsToMs(double seconds) { return seconds * kMsPerSecond; }
// The largest magnitude, in beats or in milliseconds, the conversions below are required to
// keep finite. `fromBpm` validates against it and every caller caps its own domain to it, so
// the two halves of the totality claim meet at one number. Astronomically above anything
// musical — a billion milliseconds is eleven days — so nothing real is excluded.
inline constexpr double kMaxConvertibleMagnitude = 1e9;
class Tempo { class Tempo {
public: public:
// The only place a bad BPM is rejected, which is what lets every conversion below be // Rejects rather than clamps, alone among this module's doors: an unusable BPM has no
// total — no resolver downstream needs a failure path. // nearest usable one to fall to. See this directory's CLAUDE.md for the rule.
static std::optional<Tempo> fromBpm(double beatsPerMinute); static std::optional<Tempo> fromBpm(double beatsPerMinute);
double bpm() const { return bpm_; } double bpm() const { return bpm_; }
+49 -19
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@@ -3,7 +3,8 @@
// //
// Covers: the beat length of all 39 divisions against a literal rung table (NOT the module's // Covers: the beat length of all 39 divisions against a literal rung table (NOT the module's
// own exponent formula); the 1/64 and 64/1 extremes; the four named example divisions; the // own exponent formula); the 1/64 and 64/1 extremes; the four named example divisions; the
// label notation; picker order and index round-trip; off-ladder clamping. // label notation; picker order and index round-trip; off-ladder clamping of BOTH persisted
// fields, measured through the readers rather than by comparing two clamped values.
#include "../src/core/instrument/note/musical_division.h" #include "../src/core/instrument/note/musical_division.h"
@@ -76,9 +77,14 @@ static void testExtremes() {
0.0625)); 0.0625));
CHECK(almostEqual(divisionBeats(makeDivision(kMaxQuarterExponent, DivisionModifier::Straight)), CHECK(almostEqual(divisionBeats(makeDivision(kMaxQuarterExponent, DivisionModifier::Straight)),
256.0)); 256.0));
// The dotted 64/1 is the single longest programmable note. // The dotted 64/1 is the single longest programmable note, and kMaxDivisionBeats — which
// note_program checks the tempo conversions' domain against — must name exactly it.
CHECK(almostEqual(divisionBeats(makeDivision(kMaxQuarterExponent, DivisionModifier::Dotted)), CHECK(almostEqual(divisionBeats(makeDivision(kMaxQuarterExponent, DivisionModifier::Dotted)),
384.0)); 384.0));
CHECK(almostEqual(kMaxDivisionBeats, 384.0));
for (int i = 0; i < kDivisionCount; ++i) {
CHECK(divisionBeats(divisionAt(i)) <= kMaxDivisionBeats);
}
// The 1/64 triplet is the shortest. // The 1/64 triplet is the shortest.
CHECK(almostEqual(divisionBeats(makeDivision(kMinQuarterExponent, DivisionModifier::Triplet)), CHECK(almostEqual(divisionBeats(makeDivision(kMinQuarterExponent, DivisionModifier::Triplet)),
0.0625 * 2.0 / 3.0)); 0.0625 * 2.0 / 3.0));
@@ -144,24 +150,47 @@ static void testEverySetMemberIsDistinct() {
// --- Clamping ----------------------------------------------------------------- // --- Clamping -----------------------------------------------------------------
static void testOffLadderExponentClampsToTheNearestRung() { static void testOffLadderExponentClampsToTheNearestRung() {
CHECK(makeDivision(-99, DivisionModifier::Straight) // Asserted through the readers, never by comparing two clamped Divisions: a clamp that
== makeDivision(kMinQuarterExponent, DivisionModifier::Straight)); // collapsed every exponent to one rung would make Division-to-Division comparisons agree
CHECK(makeDivision(99, DivisionModifier::Triplet) // with their own mistake.
== makeDivision(kMaxQuarterExponent, DivisionModifier::Triplet)); CHECK(almostEqual(divisionBeats(makeDivision(-99, DivisionModifier::Straight)), 0.0625));
// A record carrying an off-ladder exponent still resolves to a real length. CHECK(divisionLabel(makeDivision(-99, DivisionModifier::Straight)) == "1/64");
Division corrupt; CHECK(divisionIndex(makeDivision(-99, DivisionModifier::Straight)) == 0);
corrupt.quarterExponent = 120;
CHECK(almostEqual(divisionBeats(corrupt), 256.0)); CHECK(almostEqual(divisionBeats(makeDivision(99, DivisionModifier::Triplet)),
256.0 * 2.0 / 3.0));
CHECK(divisionLabel(makeDivision(99, DivisionModifier::Triplet)) == "64/1t");
CHECK(divisionIndex(makeDivision(99, DivisionModifier::Triplet)) == kDivisionCount - 1);
// The exponent that only a corrupt persisted record could carry still names a real rung.
CHECK(almostEqual(divisionBeats(makeDivision(120, DivisionModifier::Straight)), 256.0));
} }
static void testEqualityNormalizesOffLadderExponentsLikeEveryOtherReader() { static void testUnnamedModifierClampsToStraight() {
// divisionBeats/divisionIndex/divisionLabel all re-clamp through makeDivision; equality // The other half of the persisted pair. Neither divisionBeats nor divisionLabel can see
// must too, or a corrupt persisted value reads as a spurious diff on every reload. // an unnamed modifier — both already fall through to the straight case — so the clamp is
Division corrupt; // measured where it does show: the picker index and equality.
corrupt.quarterExponent = 120; const DivisionModifier junk = static_cast<DivisionModifier>(7);
corrupt.modifier = DivisionModifier::Straight; CHECK(divisionIndex(makeDivision(0, junk))
CHECK(corrupt == makeDivision(kMaxQuarterExponent, DivisionModifier::Straight)); == divisionIndex(makeDivision(0, DivisionModifier::Straight)));
CHECK(corrupt != makeDivision(kMaxQuarterExponent, DivisionModifier::Dotted)); CHECK(divisionLabel(makeDivision(0, junk)) == "1/4"); // and no junk reaches the readout
CHECK(makeDivision(0, junk) == makeDivision(0, DivisionModifier::Straight));
CHECK(makeDivision(0, junk) != makeDivision(0, DivisionModifier::Dotted));
}
static void testEveryConstructibleDivisionIndexesIntoThePickerSet() {
// divisionIndex is what a picker array is subscripted with, so an out-of-set index is an
// overrun in the caller. Both corrupt fields at once is the worst case: 12*3+7 without a
// modifier clamp.
const int exponents[] = {-9000, -99, kMinQuarterExponent, 0, kMaxQuarterExponent, 120, 9000};
for (int e : exponents) {
for (int m = 0; m < 260; ++m) {
const Division d = makeDivision(e, static_cast<DivisionModifier>(m));
const int index = divisionIndex(d);
CHECK(index >= 0 && index < kDivisionCount);
CHECK(divisionAt(index) == d); // and the picker round-trips it back
}
}
} }
static void testOutOfRangeIndexClampsIntoTheSet() { static void testOutOfRangeIndexClampsIntoTheSet() {
@@ -182,7 +211,8 @@ int main() {
testEverySetMemberIsDistinct(); testEverySetMemberIsDistinct();
testOffLadderExponentClampsToTheNearestRung(); testOffLadderExponentClampsToTheNearestRung();
testEqualityNormalizesOffLadderExponentsLikeEveryOtherReader(); testUnnamedModifierClampsToStraight();
testEveryConstructibleDivisionIndexesIntoThePickerSet();
testOutOfRangeIndexClampsIntoTheSet(); testOutOfRangeIndexClampsIntoTheSet();
if (g_fail == 0) std::printf("musical_division: all tests passed\n"); if (g_fail == 0) std::printf("musical_division: all tests passed\n");
+140 -25
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@@ -1,16 +1,20 @@
// Standalone tests for reasampler::instrument::note::note_program — no VST3, no REAPER, no // Standalone tests for reasampler::instrument::note::note_program — no VST3, no REAPER, no
// framework. Same fast assert loop as the sibling pure tests. // framework. Same fast assert loop as the sibling pure tests.
// //
// Covers: velocity clamping; the ms/beats denomination seam and its round-trip, including a // Covers: velocity clamping; the ms/beats denomination seam and its round-trip; anchoring
// corrupt denomination byte; anchoring (start to note-on, end to note-off); the resolved // (start to note-on, end to note-off); the resolved window against hand-computed values and
// window against hand-computed values and its windowCollapsed flag; every division resolving // its windowCollapsed flag, including the zero-length window the flag exists to distinguish;
// to its duration in seconds; proportionality across two tempos; record equality and copy // every division resolving to its duration in seconds; proportionality across two tempos;
// round-trip; editing an offset via its non-stored view (withMsView/withBeatsView). // record equality and copy round-trip; editing an offset via its non-stored view
// (withMsView/withBeatsView); what `offsetOf` does to a corrupt magnitude or denomination,
// asserted through EVERY function that branches on one; and the module's headline claim —
// that resolveNote returns finite times for every constructible input.
#include "../src/core/instrument/note/note_program.h" #include "../src/core/instrument/note/note_program.h"
#include <cmath> #include <cmath>
#include <cstdio> #include <cstdio>
#include <limits>
using namespace reasampler::instrument::note; using namespace reasampler::instrument::note;
@@ -101,9 +105,9 @@ static void testRedenominationRoundTripsLosslessly() {
const OffsetAmount original = offsetFromMs(ms); const OffsetAmount original = offsetFromMs(ms);
const OffsetAmount there = redenominate(original, Denomination::Beats, t); const OffsetAmount there = redenominate(original, Denomination::Beats, t);
const OffsetAmount back = redenominate(there, Denomination::Milliseconds, t); const OffsetAmount back = redenominate(there, Denomination::Milliseconds, t);
CHECK(there.denomination == Denomination::Beats); CHECK(there.denomination() == Denomination::Beats);
CHECK(back.denomination == Denomination::Milliseconds); CHECK(back.denomination() == Denomination::Milliseconds);
CHECK(almostEqual(back.magnitude, ms, 1e-9 + 1e-9 * std::fabs(ms))); CHECK(almostEqual(back.magnitude(), ms, 1e-9 + 1e-9 * std::fabs(ms)));
// Re-denominating never moves the instant it names. // Re-denominating never moves the instant it names.
CHECK(almostEqual(offsetSeconds(there, t), offsetSeconds(original, t))); CHECK(almostEqual(offsetSeconds(there, t), offsetSeconds(original, t)));
} }
@@ -112,7 +116,7 @@ static void testRedenominationRoundTripsLosslessly() {
const OffsetAmount back = const OffsetAmount back =
redenominate(redenominate(original, Denomination::Milliseconds, t), redenominate(redenominate(original, Denomination::Milliseconds, t),
Denomination::Beats, t); Denomination::Beats, t);
CHECK(almostEqual(back.magnitude, beats, 1e-9 + 1e-9 * std::fabs(beats))); CHECK(almostEqual(back.magnitude(), beats, 1e-9 + 1e-9 * std::fabs(beats)));
} }
} }
} }
@@ -327,19 +331,71 @@ static void testDefaultRecordIsAQuarterNoteWithNoOffsets() {
CHECK(r.velocity == 100); // NoteProgram{}'s default Velocity, documented in note_program.h CHECK(r.velocity == 100); // NoteProgram{}'s default Velocity, documented in note_program.h
} }
// --- Corrupt denomination byte -------------------------------------------------- // --- The door: what a corrupt persisted field becomes ----------------------------
static void testOutOfRangeDenominationReadsAsMillisecondsEverywhere() { static void testUnnamedDenominationBecomesMilliseconds() {
// A denomination byte outside {Milliseconds, Beats} is well-defined but unnamed; all // A denomination byte outside {Milliseconds, Beats} is well-defined but unnamed. The
// three readers must default it to the same interpretation or a popup and a bake can // door pins it, so it is not merely that the readers agree — the value they read from
// report different instants for one record. // is already Milliseconds by the time any of them sees it.
OffsetAmount corrupt; const OffsetAmount corrupt = offsetOf(250.0, static_cast<Denomination>(7));
corrupt.magnitude = 250.0; CHECK(corrupt.denomination() == Denomination::Milliseconds);
corrupt.denomination = static_cast<Denomination>(7);
const Tempo t = at(120.0); const Tempo t = at(120.0);
CHECK(almostEqual(offsetMs(corrupt, t), 250.0)); CHECK(almostEqual(offsetMs(corrupt, t), 250.0));
CHECK(almostEqual(offsetSeconds(corrupt, t), 0.25)); CHECK(almostEqual(offsetSeconds(corrupt, t), 0.25));
CHECK(almostEqual(offsetBeats(corrupt, t), t.msToBeats(250.0))); CHECK(almostEqual(offsetBeats(corrupt, t), 0.5));
}
static void testEveryDenominationBranchingFunctionAgreesWithThePin() {
// The pin is worth nothing if one branching function disagrees with it: an editor that
// flipped a corrupt record to beats would silently change whether it follows the tempo,
// and an equality that saw the raw byte would report a diff on every reload. All six.
const Tempo t = at(120.0); // one beat is 500 ms
const OffsetAmount corrupt = offsetOf(250.0, static_cast<Denomination>(7));
const OffsetAmount asMs = offsetFromMs(250.0);
CHECK(corrupt == asMs); // offsetMs / offsetBeats / offsetSeconds covered above
CHECK(!(corrupt != asMs));
CHECK(redenominate(corrupt, Denomination::Milliseconds, t) == corrupt);
CHECK(redenominate(corrupt, Denomination::Beats, t).denomination() == Denomination::Beats);
CHECK(withMsView(corrupt, 40.0, t) == withMsView(asMs, 40.0, t));
CHECK(withMsView(corrupt, 40.0, t).denomination() == Denomination::Milliseconds);
CHECK(withBeatsView(corrupt, 1.0, t) == withBeatsView(asMs, 1.0, t));
CHECK(withBeatsView(corrupt, 1.0, t).denomination() == Denomination::Milliseconds);
CHECK(almostEqual(withBeatsView(corrupt, 1.0, t).magnitude(), 500.0, 1e-6));
// An unnamed TARGET denomination pins the same way an unnamed stored one does.
CHECK(redenominate(offsetFromBeats(1.0), static_cast<Denomination>(7), t)
== offsetFromMs(500.0));
}
static void testCorruptMagnitudeIsBoundedAtTheDoor() {
const double inf = std::numeric_limits<double>::infinity();
const double nan = std::numeric_limits<double>::quiet_NaN();
// NaN names no value to clamp toward, so it takes the field's own default; an infinity
// does have a nearest representable magnitude, so it clamps like any other overshoot.
CHECK(almostEqual(offsetFromMs(nan).magnitude(), 0.0));
CHECK(almostEqual(offsetFromBeats(nan).magnitude(), 0.0));
CHECK(almostEqual(offsetFromMs(inf).magnitude(), kMaxConvertibleMagnitude));
CHECK(almostEqual(offsetFromBeats(-inf).magnitude(), -kMaxConvertibleMagnitude));
CHECK(almostEqual(offsetFromMs(1e300).magnitude(), kMaxConvertibleMagnitude));
// A NaN offset is a value, not a hole: it equals itself, so it is not a spurious diff.
CHECK(offsetFromMs(nan) == offsetFromMs(0.0));
// Anything inside the domain passes through untouched.
CHECK(almostEqual(offsetFromMs(-12345.678).magnitude(), -12345.678));
}
static void testANanMagnitudeCannotReachTheResolvedWindow() {
// The witness the door exists for: at an unremarkable tempo, a NaN magnitude used to
// make captureStart, rawEnd and captureEnd all NaN, and windowCollapsed read false.
const Tempo t = at(120.0);
const double nan = std::numeric_limits<double>::quiet_NaN();
const ResolvedNote r = resolveNote(
program(makeDivision(0, DivisionModifier::Straight), offsetOf(nan, Denomination::Beats),
offsetOf(nan, Denomination::Milliseconds), 100),
t);
CHECK(almostEqual(r.captureStartSeconds, 0.0));
CHECK(almostEqual(r.captureEndSeconds, 0.5));
CHECK(!r.windowCollapsed);
} }
// --- windowCollapsed ------------------------------------------------------------- // --- windowCollapsed -------------------------------------------------------------
@@ -359,18 +415,71 @@ static void testWindowCollapsedFlagsAnInvertedWindow() {
CHECK(!normal.windowCollapsed); CHECK(!normal.windowCollapsed);
} }
static void testWindowCollapsedIsFalseForAGenuinelyZeroLengthWindow() {
// The discrimination the flag exists for. A 1/4 at 120 BPM is 500 ms, so an end offset
// of -500 ms puts the raw end EXACTLY on the start: zero-length, but programmed that way
// rather than collapsed, and a popup must be able to tell the two apart.
const Tempo t = at(120.0);
const ResolvedNote r = resolveNote(program(makeDivision(0, DivisionModifier::Straight),
offsetFromMs(0.0), offsetFromMs(-500.0), 100),
t);
CHECK(almostEqual(r.captureLengthSeconds(), 0.0));
CHECK(!r.windowCollapsed);
// One millisecond further in is the same zero length, but collapsed.
const ResolvedNote collapsed = resolveNote(
program(makeDivision(0, DivisionModifier::Straight), offsetFromMs(0.0),
offsetFromMs(-501.0), 100),
t);
CHECK(almostEqual(collapsed.captureLengthSeconds(), 0.0));
CHECK(collapsed.windowCollapsed);
}
// --- Totality --------------------------------------------------------------------
static void testResolveNoteIsFiniteForEveryConstructibleInput() {
// The claim that lets resolveNote have no failure path, swept rather than argued: every
// division, both denominations, the magnitude extremes the door admits plus the garbage
// it normalizes, across tempos from rejected-subnormal to rejected-astronomical.
const double inf = std::numeric_limits<double>::infinity();
const double nan = std::numeric_limits<double>::quiet_NaN();
const double magnitudes[] = {-inf, -kMaxConvertibleMagnitude, -1e300, 0.0, 1e300,
kMaxConvertibleMagnitude, inf, nan};
int accepted = 0, rejected = 0;
for (double bpm : {1e-320, 1e-306, 1e-200, 1e-6, 0.5, 120.0, 1e6, 1e100, 1e308}) {
const std::optional<Tempo> tempo = Tempo::fromBpm(bpm);
if (!tempo) { ++rejected; continue; }
++accepted;
for (int i = 0; i < kDivisionCount; ++i) {
for (double m : magnitudes) {
for (Denomination d : {Denomination::Milliseconds, Denomination::Beats}) {
const ResolvedNote r = resolveNote(
program(divisionAt(i), offsetOf(m, d), offsetOf(-m, d), 100), *tempo);
CHECK(std::isfinite(r.noteOffSeconds));
CHECK(std::isfinite(r.captureStartSeconds));
CHECK(std::isfinite(r.captureEndSeconds));
CHECK(std::isfinite(r.captureLengthSeconds()));
CHECK(r.captureLengthSeconds() >= 0.0);
}
}
}
}
// Neither half of the tempo sweep may be empty, or the loop above proves nothing.
CHECK(accepted > 0);
CHECK(rejected > 0);
}
// --- Editing via the non-stored view --------------------------------------------- // --- Editing via the non-stored view ---------------------------------------------
static void testWithMsViewPreservesTheStoredDenomination() { static void testWithMsViewPreservesTheStoredDenomination() {
const Tempo t = at(120.0); // one beat is 500 ms const Tempo t = at(120.0); // one beat is 500 ms
const OffsetAmount msOffset = offsetFromMs(10.0); const OffsetAmount msOffset = offsetFromMs(10.0);
const OffsetAmount editedMs = withMsView(msOffset, 40.0, t); const OffsetAmount editedMs = withMsView(msOffset, 40.0, t);
CHECK(editedMs.denomination == Denomination::Milliseconds); CHECK(editedMs.denomination() == Denomination::Milliseconds);
CHECK(almostEqual(editedMs.magnitude, 40.0)); CHECK(almostEqual(editedMs.magnitude(), 40.0));
const OffsetAmount beatsOffset = offsetFromBeats(1.0); const OffsetAmount beatsOffset = offsetFromBeats(1.0);
const OffsetAmount editedBeats = withMsView(beatsOffset, 250.0, t); const OffsetAmount editedBeats = withMsView(beatsOffset, 250.0, t);
CHECK(editedBeats.denomination == Denomination::Beats); // stays beats-denominated CHECK(editedBeats.denomination() == Denomination::Beats); // stays beats-denominated
CHECK(almostEqual(offsetMs(editedBeats, t), 250.0, 1e-6)); // but reads back as 250 ms CHECK(almostEqual(offsetMs(editedBeats, t), 250.0, 1e-6)); // but reads back as 250 ms
} }
@@ -378,12 +487,12 @@ static void testWithBeatsViewPreservesTheStoredDenomination() {
const Tempo t = at(120.0); // one beat is 500 ms const Tempo t = at(120.0); // one beat is 500 ms
const OffsetAmount beatsOffset = offsetFromBeats(0.5); const OffsetAmount beatsOffset = offsetFromBeats(0.5);
const OffsetAmount editedBeats = withBeatsView(beatsOffset, 2.0, t); const OffsetAmount editedBeats = withBeatsView(beatsOffset, 2.0, t);
CHECK(editedBeats.denomination == Denomination::Beats); CHECK(editedBeats.denomination() == Denomination::Beats);
CHECK(almostEqual(editedBeats.magnitude, 2.0)); CHECK(almostEqual(editedBeats.magnitude(), 2.0));
const OffsetAmount msOffset = offsetFromMs(100.0); const OffsetAmount msOffset = offsetFromMs(100.0);
const OffsetAmount editedMs = withBeatsView(msOffset, 1.0, t); const OffsetAmount editedMs = withBeatsView(msOffset, 1.0, t);
CHECK(editedMs.denomination == Denomination::Milliseconds); // stays ms-denominated CHECK(editedMs.denomination() == Denomination::Milliseconds); // stays ms-denominated
CHECK(almostEqual(offsetBeats(editedMs, t), 1.0)); // but reads back as 1 beat CHECK(almostEqual(offsetBeats(editedMs, t), 1.0)); // but reads back as 1 beat
} }
@@ -414,13 +523,19 @@ int main() {
testRedenominatedRecordDescribesTheSameWindow(); testRedenominatedRecordDescribesTheSameWindow();
testDefaultRecordIsAQuarterNoteWithNoOffsets(); testDefaultRecordIsAQuarterNoteWithNoOffsets();
testOutOfRangeDenominationReadsAsMillisecondsEverywhere(); testUnnamedDenominationBecomesMilliseconds();
testEveryDenominationBranchingFunctionAgreesWithThePin();
testCorruptMagnitudeIsBoundedAtTheDoor();
testANanMagnitudeCannotReachTheResolvedWindow();
testWindowCollapsedFlagsAnInvertedWindow(); testWindowCollapsedFlagsAnInvertedWindow();
testWindowCollapsedIsFalseForAGenuinelyZeroLengthWindow();
testWithMsViewPreservesTheStoredDenomination(); testWithMsViewPreservesTheStoredDenomination();
testWithBeatsViewPreservesTheStoredDenomination(); testWithBeatsViewPreservesTheStoredDenomination();
testResolveNoteIsFiniteForEveryConstructibleInput();
if (g_fail == 0) std::printf("note_program: all tests passed\n"); if (g_fail == 0) std::printf("note_program: all tests passed\n");
else std::printf("note_program: %d FAILED\n", g_fail); else std::printf("note_program: %d FAILED\n", g_fail);
return g_fail == 0 ? 0 : 1; return g_fail == 0 ? 0 : 1;
+45 -3
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@@ -2,9 +2,10 @@
// framework. Same fast assert loop as the sibling pure tests. // framework. Same fast assert loop as the sibling pure tests.
// //
// Covers: BPM validation (the only rejection point, which is what makes the conversions // Covers: BPM validation (the only rejection point, which is what makes the conversions
// total); seconds-per-beat at several tempos; beats<->seconds and beats<->ms round-trips // total) including the tempos whose reciprocal is finite but whose conversions overflow;
// across tempos and signs; the proportionality between two tempos, asserted as a ratio // seconds-per-beat at several tempos; beats<->seconds and beats<->ms round-trips across
// rather than against any fixed seconds value. // tempos and signs; the proportionality between two tempos, asserted as a ratio rather than
// against any fixed seconds value.
#include "../src/core/instrument/note/tempo.h" #include "../src/core/instrument/note/tempo.h"
@@ -46,6 +47,44 @@ static void testUnusableBpmIsRejected() {
CHECK(!Tempo::fromBpm(1e-310).has_value()); CHECK(!Tempo::fromBpm(1e-310).has_value());
} }
static void testBpmWhoseReciprocalIsFineButWhoseConversionsOverflowIsRejected() {
// The gap a guard on 60/bpm alone leaves open: the reciprocal is an ordinary finite
// double, and the multiply that follows it is what blows up.
CHECK(std::isfinite(60.0 / 1e-306));
CHECK(!Tempo::fromBpm(1e-306).has_value());
// The fast end fails in the other direction — the divide, not the multiply.
CHECK(!Tempo::fromBpm(1e308).has_value());
}
static void testTheGuardAdmitsEveryRealTempoAndFarBeyond() {
// The guard is structural, not musical, so it must not have narrowed onto the range of
// tempos anyone would type. The extremes here are orders of magnitude past that.
for (double bpm : {1e-200, 1e-6, 0.001, 1.0, 20.0, 120.0, 240.0, 960.0, 1e6, 1e100}) {
CHECK(Tempo::fromBpm(bpm).has_value());
}
}
static void testEveryAcceptedTempoConvertsTheWholeDomainFinitely() {
// What the guard is FOR: past it, no conversion of a magnitude the module admits can
// reach inf or NaN, in either unit or either direction.
int accepted = 0, rejected = 0;
for (double bpm : {1e-320, 1e-306, 1e-300, 1e-100, 1e-6, 0.5, 120.0, 1e6, 1e100, 1e250,
1e308}) {
const std::optional<Tempo> t = Tempo::fromBpm(bpm);
if (!t) { ++rejected; continue; }
++accepted;
for (double m : {-kMaxConvertibleMagnitude, -1.0, 0.0, 1.0, kMaxConvertibleMagnitude}) {
CHECK(std::isfinite(t->beatsToSeconds(m)));
CHECK(std::isfinite(t->beatsToMs(m)));
CHECK(std::isfinite(t->msToBeats(m)));
CHECK(std::isfinite(t->secondsToBeats(msToSeconds(m))));
}
}
// Neither half of the sweep may be empty, or the loop above proves nothing.
CHECK(accepted > 0);
CHECK(rejected > 0);
}
// --- Conversions --------------------------------------------------------------- // --- Conversions ---------------------------------------------------------------
static void testSecondsPerBeatFollowsBpm() { static void testSecondsPerBeatFollowsBpm() {
@@ -121,6 +160,9 @@ static void testMillisecondsAreTempoFree() {
int main() { int main() {
testUsableBpmIsAccepted(); testUsableBpmIsAccepted();
testUnusableBpmIsRejected(); testUnusableBpmIsRejected();
testBpmWhoseReciprocalIsFineButWhoseConversionsOverflowIsRejected();
testTheGuardAdmitsEveryRealTempoAndFarBeyond();
testEveryAcceptedTempoConvertsTheWholeDomainFinitely();
testSecondsPerBeatFollowsBpm(); testSecondsPerBeatFollowsBpm();
testBeatsToSecondsAtAKnownTempo(); testBeatsToSecondsAtAKnownTempo();