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static double normalizedAutocorrelationOfAudioSamples(short[] samples) {
  ret normalizedAutocorrelationOfAudioSamples(samples, 0, l(samples));
}

static double normalizedAutocorrelationOfAudioSamples(short[] samples, int start, int end) {
  ret doubleRatio(autocorrelationOfAudioSamples(samples, start, end), autocorrelationNormalizationFactorForAudioSamples(samples, start, end));
}

static double normalizedAutocorrelationOfAudioSamples(short[] samples, IntRange r) {
  ret normalizedAutocorrelationOfAudioSamples(samples, r.start, r.end);
}