Fix filter test/doc claims: retracted DF1 limit-cycle rationale, notch-depth overreach, stale drive-branch wording

This commit is contained in:
2026-07-30 10:56:25 -04:00
parent d2364eb5ac
commit 3cb6b9de21
6 changed files with 182 additions and 140 deletions
+3 -2
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@@ -1112,13 +1112,14 @@ add_test(NAME master_gain_tests COMMAND master_gain_tests)
# filter: four targets along the module's own seams, so each asserts one domain. # filter: four targets along the module's own seams, so each asserts one domain.
# filter_params_tests — the rate-free control mappings (cutoff/Q/drive) and their inverses. # filter_params_tests — the rate-free control mappings (cutoff/Q/drive) and their inverses.
# filter_morph_tests — the pure morph-weight algebra under both morph laws; no DSP is run. # filter_morph_tests — the pure morph-weight algebra under both morph laws; no DSP is run.
# filter_state_tests — numerical stability, the denormal flush, and the state lifecycle. # filter_state_tests — numerical stability, the denormal flush, bounded-output/self-oscillation
# under full drive, and the state lifecycle — none of it needs the measurement harness below.
# filter_tests — the frequency response: pins the SVF coefficients against an independent # filter_tests — the frequency response: pins the SVF coefficients against an independent
# derivation, holds the morph endpoints to the analytic 2-pole targets, and measures the # derivation, holds the morph endpoints to the analytic 2-pole targets, and measures the
# HP-BP-LP corner flatness, the HP-notch-LP null, and rate/level invariance and drive # HP-BP-LP corner flatness, the HP-notch-LP null, and rate/level invariance and drive
# stability by driving real sines. The seams above were chosen so this file alone owns the # stability by driving real sines. The seams above were chosen so this file alone owns the
# analytic reference and the steady-state gain measurement — a forked copy of a measurement # analytic reference and the steady-state gain measurement — a forked copy of a measurement
# reference is a worse defect than a long file, which is why it sits over the ~600-line bar. # reference is a worse defect than a long file.
# NEITHER SDK. # NEITHER SDK.
add_executable(filter_params_tests tests/test_filter_params.cpp) add_executable(filter_params_tests tests/test_filter_params.cpp)
target_link_libraries(filter_params_tests PRIVATE filter) target_link_libraries(filter_params_tests PRIVATE filter)
+9 -4
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@@ -90,10 +90,15 @@ persisted field lands on it rather than on the SEM leg.
and LP **together** across the whole sweep, `bp == 0` throughout. The notch is not tuned in: and LP **together** across the whole sweep, `bp == 0` throughout. The notch is not tuned in:
HP and LP sit at exactly +90° and 90° at the corner, so equal weights cancel there by HP and LP sit at exactly +90° and 90° at the corner, so equal weights cancel there by
construction. Here the corner magnitude deliberately goes to **zero** at the centre — construction. Here the corner magnitude deliberately goes to **zero** at the centre —
measured worst case 88 dB across every rate/cutoff/Q, typically 110 to 145 dB. The fold measured worst case 88 dB on the shipped `{250, 1000, 4000}` Hz cutoff grid, typically 110 to
makes that structural rather than a runtime near-miss: `m2 = lp - hp` is **exactly** `0.0f` 145 dB. Over the full control range (20 Hz 20 kHz, Q 0.1 10) the worst residual is
at the centre, because `cos` and `sin` of π/4 differ by about an ulp of *double*, nine shallower — 69.8 dB at 192 kHz / 30 Hz / Q=10 — from float conditioning in the folded
orders below float's spacing there, so they narrow to one float. `x k·v1` term as `fc/sr → 1e-4` at high Q; it is Q-dependent (Q=0.1 holds 110 dB everywhere)
and still an excellent notch, not a broadband defect. `test_filter.cpp`'s null test covers this
full range with a Q-scaled threshold rather than the flat 74 dB the shipped grid alone would
justify. The fold makes the centre's cancellation structural rather than a runtime near-miss:
`m2 = lp - hp` is **exactly** `0.0f` at the centre, because `cos` and `sin` of π/4 differ by
about an ulp of *double*, nine orders below float's spacing there, so they narrow to one float.
SEM's zero is at the **notch frequency**, not a broadband level sag — off the corner the pair SEM's zero is at the **notch frequency**, not a broadband level sag — off the corner the pair
is still equal-power, so neither law's legs dip. Measuring that requires dividing by each is still equal-power, so neither law's legs dip. Measuring that requires dividing by each
@@ -11,7 +11,9 @@ namespace reasampler::instrument::engine::filter {
// //
// Three properties are load-bearing and none of them are tuning: // Three properties are load-bearing and none of them are tuning:
// - depth == 0 makes this ALGEBRAICALLY the identity (x / sqrt(1) == x, exact in IEEE), so // - depth == 0 makes this ALGEBRAICALLY the identity (x / sqrt(1) == x, exact in IEEE), so
// drive = 0 is bit-exact linear with no branch and no special case on the hot path. // drive = 0 is bit-exact linear whether or not the caller special-cases it. (voice_filter.h
// gates the call on drive != 0 anyway, but as a perf optimization, not because correctness
// needs it.)
// - |softLimit(x, d)| <= |x| for every d, so dropping it into the resonance state update can // - |softLimit(x, d)| <= |x| for every d, so dropping it into the resonance state update can
// only ever shrink the state. The filter therefore cannot gain energy from the drive stage: // only ever shrink the state. The filter therefore cannot gain energy from the drive stage:
// stability at any Q and any cutoff is structural, not a tuned margin, and it can never // stability at any Q and any cutoff is structural, not a tuned margin, and it can never
+39 -106
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@@ -222,21 +222,31 @@ static void testCornerMagnitudeIsFlatAtQAcrossTheHighBandLowSweep() {
// The SEM's centre is a genuine null, not merely a dip: the corner magnitude falls to the float // The SEM's centre is a genuine null, not merely a dip: the corner magnitude falls to the float
// noise floor because HP and LP sit at exactly +90 and -90 degrees there, so equal weights cancel // noise floor because HP and LP sit at exactly +90 and -90 degrees there, so equal weights cancel
// by construction. Measured worst case across this whole grid is 3.8e-05 (-88 dB); the typical // by construction. Grid spans the full control range (20 Hz - 20 kHz), not just three interior
// figure is -110 to -145 dB. The settle window has to clear the resonator's ring-down before the // cutoffs: the residual is worse near the low-cutoff/high-rate corner (float conditioning in the
// residual means anything — at 0.15 s and Q=10 the leftover transient alone reads as -52 dB and // folded x - k*v1 term as fc/sr -> 1e-4 at high Q) and is Q-dependent, so the threshold scales
// would be mistaken for the floor. // with Q rather than repeating a flat bound sized off the shallow grid. Measured worst case on
// this wider grid: 2.6e-06 (-111.7 dB) at Q=0.1, 7.0e-05 (-83.1 dB) at Q=sqrt(2), 3.2e-04
// (-69.8 dB) at Q=10, all at 192 kHz / 30 Hz — still an excellent notch, not a broadband defect.
// The settle window has to clear the resonator's ring-down before the residual means anything —
// at 0.15 s and Q=10 the leftover transient alone reads as -52 dB and would be mistaken for the
// floor.
static void testHighNotchLowCentreIsATrueNullAtTheCorner() { static void testHighNotchLowCentreIsATrueNullAtTheCorner() {
for (int r = 0; r < kRateCount; ++r) { for (int r = 0; r < kRateCount; ++r) {
for (double fc : {250.0, 1000.0, 4000.0}) { for (double fc : {20.0, 30.0, 50.0, 250.0, 1000.0, 4000.0, 16000.0, 20000.0}) {
if (fc > kRates[r] * 0.48) continue;
for (float res : {0.0f, 0.5f, 1.0f}) { for (float res : {0.0f, 0.5f, 1.0f}) {
const double q = filterQFromNorm(res);
// Sized against measurement (margins 6.6x/1.55x/2.2x at Q=0.1/sqrt(2)/10 on this
// grid), not copied from the corner figure alone.
const double threshold = 1e-5 + 7e-5 * q;
const double got = measuredGain(at(fc, res, kCentre, 0.0f, MorphLaw::HighNotchLow), const double got = measuredGain(at(fc, res, kCentre, 0.0f, MorphLaw::HighNotchLow),
kRates[r], fc, 0.25, 2.0, 0.5); kRates[r], fc, 0.25, 2.0, 0.5);
if (!(got < 2e-4)) { if (!(got < threshold)) {
std::printf("FAIL line %d: SEM notch at sr %.0f fc %.0f res %.1f is %.3e " std::printf("FAIL line %d: SEM notch at sr %.0f fc %.0f res %.1f is %.3e "
"(%.1f dB) — not a null\n", "(%.1f dB) — not a null (threshold %.3e)\n",
__LINE__, kRates[r], fc, res, got, __LINE__, kRates[r], fc, res, got,
20.0 * std::log10(got + 1e-300)); 20.0 * std::log10(got + 1e-300), threshold);
++g_fail; ++g_fail;
} }
} }
@@ -451,80 +461,29 @@ static void testDriveZeroIsBitIdenticalToTheLinearKernel() {
// The complaint the rewrite answers: resonance must not track how hard the sample hits the // The complaint the rewrite answers: resonance must not track how hard the sample hits the
// filter unless the user asked for it. At drive 0 the response is identical over a 1000:1 level // filter unless the user asked for it. At drive 0 the response is identical over a 1000:1 level
// range; the tap this replaced moved by 14% over the same span. // range; the tap this replaced moved by 14% over the same span. Runs under both laws; the centre
// is skipped under HighNotchLow because analyticMag has no notch formula to compare against there
// — level invariance at drive 0 is structural for any linear combination of the SVF's taps, so
// skipping one morph position on one law loses no real coverage.
static void testDriveZeroResponseIsLevelInvariant() { static void testDriveZeroResponseIsLevelInvariant() {
const double sr = 48000.0, fc = 1000.0; const double sr = 48000.0, fc = 1000.0;
for (MorphLaw law : kBothLaws) {
for (float morph : {kHighPass, kBandPass, kLowPass}) { for (float morph : {kHighPass, kBandPass, kLowPass}) {
if (morph == kBandPass && law != MorphLaw::HighBandLow) continue;
const double q = filterQFromNorm(1.0f); const double q = filterQFromNorm(1.0f);
const double want = analyticMag(morph, fc, fc, q, sr); const double want = analyticMag(morph, fc, fc, q, sr);
for (double amp : {0.001, 0.01, 0.1, 1.0}) { for (double amp : {0.001, 0.01, 0.1, 1.0}) {
const double got = measuredGain(at(fc, 1.0f, morph), sr, fc, amp); const double got = measuredGain(at(fc, 1.0f, morph, 0.0f, law), sr, fc, amp);
if (!(std::fabs(got / want - 1.0) <= kAgreement)) { if (!(std::fabs(got / want - 1.0) <= kAgreement)) {
std::printf("FAIL line %d: morph %.1f amp %g gain %.6f vs analytic %.6f " std::printf("FAIL line %d: %s morph %.1f amp %g gain %.6f vs analytic %.6f "
"(%.3f%%)\n", "(%.3f%%)\n",
__LINE__, morph, amp, got, want, (got / want - 1.0) * 100.0); __LINE__, lawName(law), morph, amp, got, want,
(got / want - 1.0) * 100.0);
++g_fail; ++g_fail;
} }
} }
} }
} }
// Drive is bounded by construction, not by tuning: softLimit is a contraction, so the state
// update can only ever shrink the state and the filter cannot gain energy from it. This sweeps
// the corners that would expose a tuned margin instead.
static void testFullDriveStaysBoundedAtEveryCutoffResonanceAndRate() {
unsigned rng = 0x2468aceu;
auto noise = [&rng]() {
rng = rng * 1664525u + 1013904223u;
return static_cast<float>(static_cast<int>(rng >> 9) - (1 << 22)) /
static_cast<float>(1 << 22);
};
for (int r = 0; r < kRateCount; ++r) {
const double sr = kRates[r];
for (MorphLaw law : kBothLaws) {
for (int ci = 0; ci <= 8; ++ci) {
for (int mi = 0; mi <= 4; ++mi) {
for (float res : {0.0f, 0.5f, 1.0f}) {
VoiceFilter f;
f.prepare({ci / 8.0f, res, mi / 4.0f, 1.0f, law}, sr);
f.reset();
for (int i = 0; i < 4000; ++i) {
const float y = f.process(0, noise());
if (!std::isfinite(y) || std::fabs(y) > 8.0f) {
std::printf("FAIL line %d: %s sr=%.0f cutoff=%.2f morph=%.2f "
"res=%.1f full drive produced %g\n",
__LINE__, lawName(law), sr, ci / 8.0, mi / 4.0, res, y);
++g_fail;
return;
}
}
}
}
}
}
}
}
// Full drive at full resonance with no input must still go quiet. A nonlinearity in the loop is
// exactly where a self-oscillator would hide, and softLimit's sub-unit slope is what forbids it.
static void testFullDriveDoesNotSelfOscillate() {
for (int r = 0; r < kRateCount; ++r) {
const double sr = kRates[r];
for (MorphLaw law : kBothLaws) {
for (float morph : {kHighPass, kBandPass, kLowPass}) {
VoiceFilter f;
f.prepare(at(1000.0, 1.0f, morph, 1.0f, law), sr);
f.reset();
const int excite = static_cast<int>(sr * 0.01);
for (int i = 0; i < excite; ++i) {
f.process(0, static_cast<float>(std::sin(2.0 * kPi * 1000.0 * i / sr)));
}
for (int i = 0; i < static_cast<int>(sr * 0.5); ++i) f.process(0, 0.0f);
CHECK(f.isSilent());
}
}
}
} }
// Drive has to actually do something at the top of its travel, and do it monotonically — the // Drive has to actually do something at the top of its travel, and do it monotonically — the
@@ -548,54 +507,30 @@ static void testDriveCompressesTheResonantPeakMonotonically() {
} }
} }
static void testSoftLimitIsOddMonotoneBoundedAndExactAtZeroDepth() {
for (double x : {-3.0, -0.5, 0.0, 1e-9, 0.25, 7.0}) {
// Depth 0 is the identity by algebra, so drive 0 needs no special case on the hot path.
CHECK(softLimit(static_cast<float>(x), 0.0f) == static_cast<float>(x));
}
CHECK_NEAR(softLimit(1.5f, 2.0f), -softLimit(-1.5f, 2.0f), 1e-9);
for (float depth : {0.5f, 4.0f, 64.0f}) {
// The two properties the stability argument rests on, over the whole excursion range a
// resonating state can reach. Monotonicity is NOT asserted here: far past the knee the
// curve is asymptotically flat, so the true increment between adjacent samples falls
// below float epsilon and rounding can walk it backwards by an ulp.
for (int i = -400; i <= 400; ++i) {
const float x = static_cast<float>(i) * 0.05f;
const float y = softLimit(x, depth);
CHECK(std::fabs(y) <= std::fabs(x)); // a contraction — the stability argument
CHECK(std::fabs(y) < 1.0f / depth + 1e-6f); // bounded by the knee
}
// Strictly increasing across the knee, which is where the shaping actually happens.
const float knee = 1.0f / depth;
float prev = -1e30f;
for (int i = -20; i <= 20; ++i) {
const float y = softLimit(static_cast<float>(i) * 0.1f * knee, depth);
CHECK(y > prev);
prev = y;
}
}
}
// --------------------------------------------------------------------------- // ---------------------------------------------------------------------------
// Sample-rate invariance // Sample-rate invariance
// --------------------------------------------------------------------------- // ---------------------------------------------------------------------------
// The rate must enter only through g = tan(pi*fc/sr), so the response at a given cutoff and Q is // The rate must enter only through g = tan(pi*fc/sr), so the response at a given cutoff and Q is
// the same filter at every rate. The retired feedback tap made this false: it closed the loop // the same filter at every rate. The retired feedback tap made this false: it closed the loop
// once per SAMPLE, so emphasis ran 5.02 at 48k against 8.52 at 192k. // once per SAMPLE, so emphasis ran 5.02 at 48k against 8.52 at 192k. Runs under both laws; the
// centre is skipped under HighNotchLow because analyticMag has no notch formula to compare
// against there — SEM centre behavior across rates is covered by
// testHighNotchLowCentreIsATrueNullAtTheCorner instead.
static void testResponseIsRateInvariantAtEveryMorph() { static void testResponseIsRateInvariantAtEveryMorph() {
for (MorphLaw law : kBothLaws) {
for (float morph : {kHighPass, kBandPass, kLowPass}) { for (float morph : {kHighPass, kBandPass, kLowPass}) {
if (morph == kBandPass && law != MorphLaw::HighBandLow) continue;
for (float res : {0.2f, 0.5f, 1.0f}) { for (float res : {0.2f, 0.5f, 1.0f}) {
const double q = filterQFromNorm(res); const double q = filterQFromNorm(res);
for (double fc : {250.0, 1000.0, 4000.0}) { for (double fc : {250.0, 1000.0, 4000.0}) {
for (int r = 0; r < kRateCount; ++r) { for (int r = 0; r < kRateCount; ++r) {
const double got = measuredGain(at(fc, res, morph), kRates[r], fc); const double got = measuredGain(at(fc, res, morph, 0.0f, law), kRates[r], fc);
const double want = analyticMag(morph, fc, fc, q, kRates[r]); const double want = analyticMag(morph, fc, fc, q, kRates[r]);
if (!(std::fabs(got / want - 1.0) <= kAgreement)) { if (!(std::fabs(got / want - 1.0) <= kAgreement)) {
std::printf("FAIL line %d: morph %.1f res %.1f fc %.0f at %.0f Hz: %.6f " std::printf("FAIL line %d: %s morph %.1f res %.1f fc %.0f at %.0f Hz: "
"vs analytic %.6f (%.3f%%)\n", "%.6f vs analytic %.6f (%.3f%%)\n",
__LINE__, morph, res, fc, kRates[r], got, want, __LINE__, lawName(law), morph, res, fc, kRates[r], got, want,
(got / want - 1.0) * 100.0); (got / want - 1.0) * 100.0);
++g_fail; ++g_fail;
} }
@@ -604,6 +539,7 @@ static void testResponseIsRateInvariantAtEveryMorph() {
} }
} }
} }
}
// The conditioning corner: fc/sr ~ 1e-4. Float32 Direct Form I encoded pole proximity in // The conditioning corner: fc/sr ~ 1e-4. Float32 Direct Form I encoded pole proximity in
// a1 -> -2, a2 -> +1 and cancelled them every sample, costing ~17 bits and putting the measured // a1 -> -2, a2 -> +1 and cancelled them every sample, costing ~17 bits and putting the measured
@@ -646,10 +582,7 @@ int main() {
testDriveZeroIsBitIdenticalToTheLinearKernel(); testDriveZeroIsBitIdenticalToTheLinearKernel();
testDriveZeroResponseIsLevelInvariant(); testDriveZeroResponseIsLevelInvariant();
testFullDriveStaysBoundedAtEveryCutoffResonanceAndRate();
testFullDriveDoesNotSelfOscillate();
testDriveCompressesTheResonantPeakMonotonically(); testDriveCompressesTheResonantPeakMonotonically();
testSoftLimitIsOddMonotoneBoundedAndExactAtZeroDepth();
testResponseIsRateInvariantAtEveryMorph(); testResponseIsRateInvariantAtEveryMorph();
testLowCutoffHighRateCornerHoldsTheAnalyticPeak(); testLowCutoffHighRateCornerHoldsTheAnalyticPeak();
+4 -2
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@@ -1,7 +1,9 @@
// Standalone tests for the pure morph domain: normalized position -> tap weights under both // Standalone tests for the pure morph domain: normalized position -> tap weights under both
// morph laws, and the fold of those weights into the kernel's three multipliers. Algebra only — // morph laws, and the fold of those weights into the kernel's three multipliers. Algebra only —
// no filter is run here. Interior expectations are derived from the intended law (in radicals, // no filter is run here. Most interior expectations are derived from the intended law in radicals,
// so they share not even a trig call with the implementation) rather than read back out of it. // sharing not even a trig call with the implementation; one check evaluates std::cos/std::sin
// directly at the same argument the implementation does, but a radical-derived check of the same
// leg sits right beside it, so no coverage rests solely on the shared call.
// The MEASURED consequences of each law — HP-BP-LP's flat corner, HP-notch-LP's null — live in // The MEASURED consequences of each law — HP-BP-LP's flat corner, HP-notch-LP's null — live in
// test_filter.cpp, where a filter is actually driven. // test_filter.cpp, where a filter is actually driven.
+108 -9
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@@ -1,12 +1,14 @@
// Standalone tests for the running filter's NUMERICAL behaviour and state lifecycle — bounded // Standalone tests for the running filter's NUMERICAL behaviour and state lifecycle — bounded
// output under a live parameter sweep, the denormal flush, DC handling, the impulse response // output under a live parameter sweep, full-drive stability and self-oscillation, the softLimit
// against the coefficients, and reset/prepare/per-channel state rules. Split from test_filter.cpp // shaper's own properties, the denormal flush, DC handling, the impulse response against the
// along the one seam that costs nothing: none of these need the frequency-response measurement // coefficients, and reset/prepare/per-channel state rules. Split from test_filter.cpp along the
// harness, so the analytic reference lives in exactly one file and cannot fork. // one seam that costs nothing: none of these need the frequency-response measurement harness, so
// the analytic reference lives in exactly one file and cannot fork.
#include "../src/core/instrument/engine/filter/filter_coeffs.h" #include "../src/core/instrument/engine/filter/filter_coeffs.h"
#include "../src/core/instrument/engine/filter/filter_morph.h" #include "../src/core/instrument/engine/filter/filter_morph.h"
#include "../src/core/instrument/engine/filter/filter_params.h" #include "../src/core/instrument/engine/filter/filter_params.h"
#include "../src/core/instrument/engine/filter/filter_saturate.h"
#include "../src/core/instrument/engine/filter/voice_filter.h" #include "../src/core/instrument/engine/filter/voice_filter.h"
#include <cfloat> #include <cfloat>
@@ -32,6 +34,9 @@ static constexpr float kCentre = 0.5f;
static constexpr float kLowPass = 1.0f; static constexpr float kLowPass = 1.0f;
static const MorphLaw kBothLaws[] = {MorphLaw::HighBandLow, MorphLaw::HighNotchLow}; static const MorphLaw kBothLaws[] = {MorphLaw::HighBandLow, MorphLaw::HighNotchLow};
static const char* lawName(MorphLaw law) {
return law == MorphLaw::HighBandLow ? "HP-BP-LP" : "HP-notch-LP";
}
// The rates the invariance claims are made over. // The rates the invariance claims are made over.
static const double kRates[] = {44100.0, 48000.0, 88200.0, 96000.0, 192000.0}; static const double kRates[] = {44100.0, 48000.0, 88200.0, 96000.0, 192000.0};
@@ -77,11 +82,102 @@ static void testFullRangeCutoffSweepAtAudioRateStaysBounded() {
} }
} }
// The flush tests the ENVELOPE — both integrators — not one sample. ic1 and ic2 are in // Drive is bounded by construction, not by tuning: softLimit is a contraction, so the state
// quadrature, so a resonator swings each through zero twice a cycle; flushing on a single one // update can only ever shrink the state and the filter cannot gain energy from it. This sweeps
// injects a step in phase with the resonance, which the resonance amplifies, and the filter // the corners that would expose a tuned margin instead.
// limit-cycles at the floor forever instead of going quiet. Re-verified for TPT rather than static void testFullDriveStaysBoundedAtEveryCutoffResonanceAndRate() {
// assumed to carry over from the retired Direct Form I state. unsigned rng = 0x2468aceu;
auto noise = [&rng]() {
rng = rng * 1664525u + 1013904223u;
return static_cast<float>(static_cast<int>(rng >> 9) - (1 << 22)) /
static_cast<float>(1 << 22);
};
for (int r = 0; r < kRateCount; ++r) {
const double sr = kRates[r];
for (MorphLaw law : kBothLaws) {
for (int ci = 0; ci <= 8; ++ci) {
for (int mi = 0; mi <= 4; ++mi) {
for (float res : {0.0f, 0.5f, 1.0f}) {
VoiceFilter f;
f.prepare({ci / 8.0f, res, mi / 4.0f, 1.0f, law}, sr);
f.reset();
for (int i = 0; i < 4000; ++i) {
const float y = f.process(0, noise());
if (!std::isfinite(y) || std::fabs(y) > 8.0f) {
std::printf("FAIL line %d: %s sr=%.0f cutoff=%.2f morph=%.2f "
"res=%.1f full drive produced %g\n",
__LINE__, lawName(law), sr, ci / 8.0, mi / 4.0, res, y);
++g_fail;
return;
}
}
}
}
}
}
}
}
// Full drive at full resonance with no input must still go quiet. A nonlinearity in the loop is
// exactly where a self-oscillator would hide, and softLimit's sub-unit slope is what forbids it.
static void testFullDriveDoesNotSelfOscillate() {
for (int r = 0; r < kRateCount; ++r) {
const double sr = kRates[r];
for (MorphLaw law : kBothLaws) {
for (float morph : {kHighPass, kBandPass, kLowPass}) {
VoiceFilter f;
f.prepare(at(1000.0, 1.0f, morph, 1.0f, law), sr);
f.reset();
const int excite = static_cast<int>(sr * 0.01);
for (int i = 0; i < excite; ++i) {
f.process(0, static_cast<float>(std::sin(2.0 * kPi * 1000.0 * i / sr)));
}
for (int i = 0; i < static_cast<int>(sr * 0.5); ++i) f.process(0, 0.0f);
CHECK(f.isSilent());
}
}
}
}
// The softLimit shaper's own properties, independent of any running filter: bit-exact at depth 0,
// odd, a contraction over the whole excursion range, bounded by the knee, and increasing where the
// shaping actually happens.
static void testSoftLimitIsOddMonotoneBoundedAndExactAtZeroDepth() {
for (double x : {-3.0, -0.5, 0.0, 1e-9, 0.25, 7.0}) {
// Depth 0 is the identity by algebra, so correctness doesn't require special-casing it —
// voice_filter.h gates the call anyway, but as a perf optimization (see its comment).
CHECK(softLimit(static_cast<float>(x), 0.0f) == static_cast<float>(x));
}
CHECK_NEAR(softLimit(1.5f, 2.0f), -softLimit(-1.5f, 2.0f), 1e-9);
for (float depth : {0.5f, 4.0f, 64.0f}) {
// The two properties the stability argument rests on, over the whole excursion range a
// resonating state can reach. Monotonicity is NOT asserted here: far past the knee the
// curve is asymptotically flat, so the true increment between adjacent samples falls
// below float epsilon and rounding can walk it backwards by an ulp.
for (int i = -400; i <= 400; ++i) {
const float x = static_cast<float>(i) * 0.05f;
const float y = softLimit(x, depth);
CHECK(std::fabs(y) <= std::fabs(x)); // a contraction — the stability argument
CHECK(std::fabs(y) < 1.0f / depth + 1e-6f); // bounded by the knee
}
// Strictly increasing across the knee, which is where the shaping actually happens.
const float knee = 1.0f / depth;
float prev = -1e30f;
for (int i = -20; i <= 20; ++i) {
const float y = softLimit(static_cast<float>(i) * 0.1f * knee, depth);
CHECK(y > prev);
prev = y;
}
}
}
// The flush tests the ENVELOPE — both integrators — not one sample: isSilent() means "both are
// exactly zero," so both have to reach zero for that check to mean anything, and the conjunctive
// test is the cheapest guarantee of that (see voice_filter.h's flush comment). The stronger
// limit-cycle rationale belongs to the retired Direct Form I state, where the flushed variables
// were the actual filter OUTPUT rather than integrator state — it does not reproduce here.
static void checkFlushGoesSilent(double sr, float morph, float drive, MorphLaw law) { static void checkFlushGoesSilent(double sr, float morph, float drive, MorphLaw law) {
// The decay to the floor is a fixed WALL-CLOCK time, so the budget scales with the rate. // The decay to the floor is a fixed WALL-CLOCK time, so the budget scales with the rate.
const int budget = static_cast<int>(sr * 0.5); const int budget = static_cast<int>(sr * 0.5);
@@ -234,6 +330,9 @@ static void testChannelStateIsIndependent() {
int main() { int main() {
testFullRangeCutoffSweepAtAudioRateStaysBounded(); testFullRangeCutoffSweepAtAudioRateStaysBounded();
testFullDriveStaysBoundedAtEveryCutoffResonanceAndRate();
testFullDriveDoesNotSelfOscillate();
testSoftLimitIsOddMonotoneBoundedAndExactAtZeroDepth();
testStateFlushesToZeroWithoutStallingInDenormals(); testStateFlushesToZeroWithoutStallingInDenormals();
testHighPassSustainedDCDoesNotReRing(); testHighPassSustainedDCDoesNotReRing();
testImpulseResponseMatchesTheKernel(); testImpulseResponseMatchesTheKernel();