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+<!DOCTYPE html>
+<html>
+ <head>
+ <title>
+ Test IIRFilter getFrequencyResponse() functionality
+ </title>
+ <script src="/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>
+ </head>
+ <body>
+ <script id="layout-test-code">
+ let sampleRate = 48000;
+ // Some short duration; we're not actually looking at the rendered output.
+ let testDurationSec = 0.01;
+
+ // Number of frequency samples to take.
+ let numberOfFrequencies = 1000;
+
+ let audit = Audit.createTaskRunner();
+
+
+ // Compute a set of linearly spaced frequencies.
+ function createFrequencies(nFrequencies, sampleRate) {
+ let frequencies = new Float32Array(nFrequencies);
+ let nyquist = sampleRate / 2;
+ let freqDelta = nyquist / nFrequencies;
+
+ for (let k = 0; k < nFrequencies; ++k) {
+ frequencies[k] = k * freqDelta;
+ }
+
+ return frequencies;
+ }
+
+ audit.define('1-pole IIR', (task, should) => {
+ let context = new OfflineAudioContext(
+ 1, testDurationSec * sampleRate, sampleRate);
+
+ let iir = context.createIIRFilter([1], [1, -0.9]);
+ let frequencies =
+ createFrequencies(numberOfFrequencies, context.sampleRate);
+
+ let iirMag = new Float32Array(numberOfFrequencies);
+ let iirPhase = new Float32Array(numberOfFrequencies);
+ let trueMag = new Float32Array(numberOfFrequencies);
+ let truePhase = new Float32Array(numberOfFrequencies);
+
+ // The IIR filter is
+ // H(z) = 1/(1 - 0.9*z^(-1)).
+ //
+ // The frequency response is
+ // H(exp(j*w)) = 1/(1 - 0.9*exp(-j*w)).
+ //
+ // Thus, the magnitude is
+ // |H(exp(j*w))| = 1/sqrt(1.81-1.8*cos(w)).
+ //
+ // The phase is
+ // arg(H(exp(j*w)) = atan(0.9*sin(w)/(.9*cos(w)-1))
+
+ let frequencyScale = Math.PI / (sampleRate / 2);
+
+ for (let k = 0; k < frequencies.length; ++k) {
+ let omega = frequencyScale * frequencies[k];
+ trueMag[k] = 1 / Math.sqrt(1.81 - 1.8 * Math.cos(omega));
+ truePhase[k] =
+ Math.atan(0.9 * Math.sin(omega) / (0.9 * Math.cos(omega) - 1));
+ }
+
+ iir.getFrequencyResponse(frequencies, iirMag, iirPhase);
+
+ // Thresholds were experimentally determined.
+ should(iirMag, '1-pole IIR Magnitude Response')
+ .beCloseToArray(trueMag, {absoluteThreshold: 2.8611e-6});
+ should(iirPhase, '1-pole IIR Phase Response')
+ .beCloseToArray(truePhase, {absoluteThreshold: 1.7882e-7});
+
+ task.done();
+ });
+
+ audit.define('compare IIR and biquad', (task, should) => {
+ // Create an IIR filter equivalent to the biquad filter. Compute the
+ // frequency response for both and verify that they are the same.
+ let context = new OfflineAudioContext(
+ 1, testDurationSec * sampleRate, sampleRate);
+
+ let biquad = context.createBiquadFilter();
+ let coef = createFilter(
+ biquad.type, biquad.frequency.value / (context.sampleRate / 2),
+ biquad.Q.value, biquad.gain.value);
+
+ let iir = context.createIIRFilter(
+ [coef.b0, coef.b1, coef.b2], [1, coef.a1, coef.a2]);
+
+ let frequencies =
+ createFrequencies(numberOfFrequencies, context.sampleRate);
+ let biquadMag = new Float32Array(numberOfFrequencies);
+ let biquadPhase = new Float32Array(numberOfFrequencies);
+ let iirMag = new Float32Array(numberOfFrequencies);
+ let iirPhase = new Float32Array(numberOfFrequencies);
+
+ biquad.getFrequencyResponse(frequencies, biquadMag, biquadPhase);
+ iir.getFrequencyResponse(frequencies, iirMag, iirPhase);
+
+ // Thresholds were experimentally determined.
+ should(iirMag, 'IIR Magnitude Response').beCloseToArray(biquadMag, {
+ absoluteThreshold: 2.7419e-5
+ });
+ should(iirPhase, 'IIR Phase Response').beCloseToArray(biquadPhase, {
+ absoluteThreshold: 2.7657e-5
+ });
+
+ task.done();
+ });
+
+ audit.define(
+ {
+ label: 'getFrequencyResponse',
+ description: 'Test out-of-bounds frequency values'
+ },
+ (task, should) => {
+ let context = new OfflineAudioContext(1, 1, sampleRate);
+ let filter = new IIRFilterNode(
+ context, {feedforward: [1], feedback: [1, -.9]});
+
+ // Frequencies to test. These are all outside the valid range of
+ // frequencies of 0 to Nyquist.
+ let freq = new Float32Array(2);
+ freq[0] = -1;
+ freq[1] = context.sampleRate / 2 + 1;
+
+ let mag = new Float32Array(freq.length);
+ let phase = new Float32Array(freq.length);
+
+ filter.getFrequencyResponse(freq, mag, phase);
+
+ // Verify that the returned magnitude and phase entries are alL NaN
+ // since the frequencies are outside the valid range
+ for (let k = 0; k < mag.length; ++k) {
+ should(mag[k],
+ 'Magnitude response at frequency ' + freq[k])
+ .beNaN();
+ }
+
+ for (let k = 0; k < phase.length; ++k) {
+ should(phase[k],
+ 'Phase response at frequency ' + freq[k])
+ .beNaN();
+ }
+
+ task.done();
+ });
+
+ audit.run();
+ </script>
+ </body>
+</html>