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<head>
<title>Test Biquad Tail-Time</title>
<script src="../../imported/w3c/web-platform-tests/resources/testharness.js"></script>
<script src="../../resources/testharnessreport.js"></script>
<script src="../resources/audit-util.js"></script>
<script src="../resources/audit.js"></script>
<script src="../resources/biquad-filters.js"></script>
<script src="test-tail-time.js"></script>
</head>
<body>
<script>
let audit = Audit.createTaskRunner();
let sampleRate = 16384;
let renderSeconds = 1;
let renderFrames = renderSeconds * sampleRate;
// For a peaking filter:
// b0 = 1 - alpha*A
// b1 = -2*cos(w0)
// b2 = 1 + alpha*A
// a0 = 1 + alpha/A
// a1 = -2*cos(w0)
// a2 = 1 - alpha/A
//
// where alpha = sin(w0)/(2*Q), w0 = 2*%pi*f0/Fs, and A = 10^(G/40)
//
// Equivalently a1 = -2*cos(w0)/(1+alpha/A), a2 = (1-alpha/A)/(1+alpha/A).
// The poles of this filter are at
//
// A*cos(w0)/(A + alpha) +/- sqrt(alpha^2-A^2*sin(w0)^2)/(A + alpha)
//
// But alpha^2-A^2*sin(w0)^2 = sin(w0)^2*(1/4/Q^2-1).
// Thus, the poles are complex if 1/(4*Q^2) < A^2; real and distinct if
// 1/(4*Q^2)>A^2; and repeated if 1/(4*Q^2) = A^2 or w0 = 0.
// Array of tests to run. |descripton| is the task description for
// audit.define. |parameters| is option for |testTailTime|.
let tests = [
{
descripton:
{label: 'peaking-complex-roots', description: 'complex roots'},
parameters: {
prefix: 'Peaking complex roots',
// A gain of 40 gives A = 10.
filterOptions:
{type: 'peaking', Q: 10, gain: 40, frequency: sampleRate / 4},
// Node computed tail frame is 2077.4 frames, which matches the
// actual tail, so tail output should be exactly zero.
threshold: 0
}
},
{
descripton: {
label: 'peaking-real-distinct-roots',
description: 'real distinct roots'
},
parameters: {
prefix: 'Peaking real distinct roots',
filterOptions: {
type: 'peaking',
Q: 0.001,
gain: 40,
frequency: sampleRate / 4
},
// Node computed tail frame is 588 frames, which matches the actual
// tail, so tail output should be exactly zero.
threshold: 0
}
},
{
descripton: {
label: 'peaking-repeated-roots',
description: 'repeated real root'
},
parameters: {
prefix: 'Peaking repeated roots',
filterOptions:
{type: 'peaking', Q: 1 / 2, gain: 0, frequency: sampleRate / 8},
// Node computed tail frame is 0 frames, which matches the actual
// tail, so tail output should be exactly zero.
threshold: 0
}
},
{
descripton: {
label: 'peaking-repeated-roots 2',
description: 'repeated real root'
},
parameters: {
prefix: 'Peaking repeated roots 2',
filterOptions: {type: 'peaking', Q: 1, gain: 40, frequency: 0},
// Node computed tail frame is 1 frames, which matches the actual
// tail, so tail output should be exactly zero.
threshold: 0
}
}
];
// Define an appropriate task for each test.
tests.forEach(entry => {
audit.define(entry.descripton, (task, should) => {
let context = new OfflineAudioContext(1, renderFrames, sampleRate);
testTailTime(should, context, entry.parameters).then(() => task.done());
});
});
audit.run();
</script>
</body>
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