//! Timbral feature extraction module. //! //! Contains functions to extract & summarize the zero-crossing rate, //! spectral centroid, spectral flatness and spectral roll-off of //! a given Song. use aubio_rs::vec::CVec; use aubio_rs::{bin_to_freq, PVoc, SpecDesc, SpecShape}; use ndarray::{arr1, Axis}; use super::utils::{geometric_mean, mean, number_crossings, Normalize}; use crate::{BlissError, SAMPLE_RATE}; /** * General object holding all the spectral descriptor. * * Holds 3 spectral descriptors together. It would be better conceptually * to have 3 different spectral descriptor objects, but this avoids re-computing * the same FFT three times. * * Current spectral descriptors are spectral centroid, spectral rolloff and * spectral flatness (see `values_object` for a further description of the * object. * * All descriptors are currently summarized by their mean only. */ pub(crate) struct SpectralDesc { phase_vocoder: PVoc, sample_rate: u32, centroid_aubio_desc: SpecDesc, rolloff_aubio_desc: SpecDesc, values_centroid: Vec, values_rolloff: Vec, values_flatness: Vec, } impl SpectralDesc { pub const WINDOW_SIZE: usize = 512; pub const HOP_SIZE: usize = SpectralDesc::WINDOW_SIZE / 4; /** * Compute score related to the * [spectral centroid](https://en.wikipedia.org/wiki/Spectral_centroid) values, * obtained after repeatedly calling `do_` on all of the song's chunks. * * Spectral centroid is used to determine the "brightness" of a sound, i.e. * how much high frequency there is in an audio signal. * * It of course depends of the instrument used: a piano-only track that makes * use of high frequencies will still score less than a song using a lot of * percussive sound, because the piano frequency range is lower. * * The value range is between 0 and `sample_rate / 2`. */ pub fn get_centroid(&mut self) -> Vec { vec![ self.normalize(mean(&self.values_centroid)), self.normalize( arr1(&self.values_centroid) .std_axis(Axis(0), 0.) .into_scalar(), ), ] } /** * Compute score related to the spectral roll-off values, obtained * after repeatedly calling `do_` on all of the song's chunks. * * Spectral roll-off is the bin frequency number below which a certain * percentage of the spectral energy is found, here, 95%. * * It can be used to distinguish voiced speech (low roll-off) and unvoiced * speech (high roll-off). It is also a good indication of the energy * repartition of a song. * * The value range is between 0 and `sample_rate / 2` */ pub fn get_rolloff(&mut self) -> Vec { vec![ self.normalize(mean(&self.values_rolloff)), self.normalize( arr1(&self.values_rolloff) .std_axis(Axis(0), 0.) .into_scalar(), ), ] } /** * Compute score related to the * [spectral flatness](https://en.wikipedia.org/wiki/Spectral_flatness) values, * obtained after repeatedly calling `do_` on all of the song's chunks. * * Spectral flatness is the ratio between the geometric mean of the spectrum * and its arithmetic mean. * * It is used to distinguish between tone-like and noise-like signals. * Tone-like audio is f.ex. a piano key, something that has one or more * specific frequencies, while (white) noise has an equal distribution * of intensity among all frequencies. * * The value range is between 0 and 1, since the geometric mean is always less * than the arithmetic mean. */ pub fn get_flatness(&mut self) -> Vec { let max_value = 1.; let min_value = 0.; // Range is different from the other spectral algorithms, so normalizing // manually here. vec![ 2. * (mean(&self.values_flatness) - min_value) / (max_value - min_value) - 1., 2. * (arr1(&self.values_flatness) .std_axis(Axis(0), 0.) .into_scalar() - min_value) / (max_value - min_value) - 1., ] } pub fn new(sample_rate: u32) -> Result { Ok(SpectralDesc { centroid_aubio_desc: SpecDesc::new(SpecShape::Centroid, SpectralDesc::WINDOW_SIZE) .map_err(|e| { BlissError::AnalysisError(format!( "error while loading aubio centroid object: {}", e.to_string() )) })?, rolloff_aubio_desc: SpecDesc::new(SpecShape::Rolloff, SpectralDesc::WINDOW_SIZE) .map_err(|e| { BlissError::AnalysisError(format!( "error while loading aubio rolloff object: {}", e.to_string() )) })?, phase_vocoder: PVoc::new(SpectralDesc::WINDOW_SIZE, SpectralDesc::HOP_SIZE).map_err( |e| { BlissError::AnalysisError(format!( "error while loading aubio pvoc object: {}", e.to_string() )) }, )?, values_centroid: Vec::new(), values_rolloff: Vec::new(), values_flatness: Vec::new(), sample_rate, }) } /** * Compute all the descriptors' value for the given chunk. * * After using this on all the song's chunks, you can call * `get_centroid`, `get_flatness` and `get_rolloff` to get the respective * descriptors' values. */ pub fn do_(&mut self, chunk: &[f32]) -> Result<(), BlissError> { let mut fftgrain: Vec = vec![0.0; SpectralDesc::WINDOW_SIZE]; self.phase_vocoder .do_(chunk, fftgrain.as_mut_slice()) .map_err(|e| { BlissError::AnalysisError(format!( "error while processing aubio pv object: {}", e.to_string() )) })?; let bin = self .centroid_aubio_desc .do_result(fftgrain.as_slice()) .map_err(|e| { BlissError::AnalysisError(format!( "error while processing aubio centroid object: {}", e.to_string() )) })?; let freq = bin_to_freq( bin, self.sample_rate as f32, SpectralDesc::WINDOW_SIZE as f32, ); self.values_centroid.push(freq); let mut bin = self .rolloff_aubio_desc .do_result(fftgrain.as_slice()) .unwrap(); // Until https://github.com/aubio/aubio/pull/318 is in if bin > SpectralDesc::WINDOW_SIZE as f32 / 2. { bin = SpectralDesc::WINDOW_SIZE as f32 / 2.; } let freq = bin_to_freq( bin, self.sample_rate as f32, SpectralDesc::WINDOW_SIZE as f32, ); self.values_rolloff.push(freq); let cvec: CVec = fftgrain.as_slice().into(); let geo_mean = geometric_mean(&cvec.norm()); if geo_mean == 0.0 { self.values_flatness.push(0.0); return Ok(()); } let flatness = geo_mean / mean(&cvec.norm()); self.values_flatness.push(flatness); Ok(()) } } impl Normalize for SpectralDesc { const MAX_VALUE: f32 = SAMPLE_RATE as f32 / 2.; const MIN_VALUE: f32 = 0.; } /** * [Zero-crossing rate](https://en.wikipedia.org/wiki/Zero-crossing_rate) * detection object. * * Zero-crossing rate is mostly used to detect percussive sounds in an audio * signal, as well as whether an audio signal contains speech or not. * * It is a good metric to differentiate between songs with people speaking clearly, * (e.g. slam) and instrumental songs. * * The value range is between 0 and 1. */ #[derive(Default)] pub(crate) struct ZeroCrossingRateDesc { values: Vec, number_samples: usize, } impl ZeroCrossingRateDesc { #[allow(dead_code)] pub fn new(_sample_rate: u32) -> Self { ZeroCrossingRateDesc::default() } /// Count the number of zero-crossings for the current `chunk`. pub fn do_(&mut self, chunk: &[f32]) { self.values.push(number_crossings(chunk)); self.number_samples += chunk.len(); } /// Sum the number of zero-crossings witnessed and divide by /// the total number of samples. pub fn get_value(&mut self) -> f32 { self.normalize((self.values.iter().sum::()) as f32 / self.number_samples as f32) } } impl Normalize for ZeroCrossingRateDesc { const MAX_VALUE: f32 = 1.; const MIN_VALUE: f32 = 0.; } #[cfg(test)] mod tests { use super::*; use crate::Song; #[test] fn test_zcr_boundaries() { let mut zcr_desc = ZeroCrossingRateDesc::default(); let chunk = vec![0.; 1024]; zcr_desc.do_(&chunk); assert_eq!(-1., zcr_desc.get_value()); let one_chunk = vec![-1., 1.]; let chunks = std::iter::repeat(one_chunk.iter()) .take(512) .flatten() .cloned() .collect::>(); let mut zcr_desc = ZeroCrossingRateDesc::default(); zcr_desc.do_(&chunks); assert!(0.001 > (0.9980469 - zcr_desc.get_value()).abs()); } #[test] fn test_zcr() { let song = Song::decode("data/s16_mono_22_5kHz.flac").unwrap(); let mut zcr_desc = ZeroCrossingRateDesc::default(); for chunk in song.sample_array.chunks_exact(SpectralDesc::HOP_SIZE) { zcr_desc.do_(&chunk); } assert!(0.001 > (-0.85036 - zcr_desc.get_value()).abs()); } #[test] fn test_spectral_flatness_boundaries() { let mut spectral_desc = SpectralDesc::new(10).unwrap(); let chunk = vec![0.; 1024]; let expected_values = vec![-1., -1.]; spectral_desc.do_(&chunk).unwrap(); for (expected, actual) in expected_values .iter() .zip(spectral_desc.get_flatness().iter()) { assert!(0.0000001 > (expected - actual).abs()); } let song = Song::decode("data/white_noise.flac").unwrap(); let mut spectral_desc = SpectralDesc::new(22050).unwrap(); for chunk in song.sample_array.chunks_exact(SpectralDesc::HOP_SIZE) { spectral_desc.do_(&chunk).unwrap(); } // White noise - as close to 1 as possible let expected_values = vec![0.6706717, -0.9685736]; for (expected, actual) in expected_values .iter() .zip(spectral_desc.get_flatness().iter()) { assert!(0.001 > (expected - actual).abs()); } } #[test] fn test_spectral_flatness() { let song = Song::decode("data/s16_mono_22_5kHz.flac").unwrap(); let mut spectral_desc = SpectralDesc::new(SAMPLE_RATE).unwrap(); for chunk in song.sample_array.chunks_exact(SpectralDesc::HOP_SIZE) { spectral_desc.do_(&chunk).unwrap(); } // Spectral flatness mean value computed here with phase vocoder before normalization: 0.111949615 // Essentia value with spectrum / hann window: 0.11197535695207445 let expected_values = vec![-0.77610075, -0.8148179]; for (expected, actual) in expected_values .iter() .zip(spectral_desc.get_flatness().iter()) { assert!(0.01 > (expected - actual).abs()); } } #[test] fn test_spectral_roll_off_boundaries() { let mut spectral_desc = SpectralDesc::new(10).unwrap(); let chunk = vec![0.; 512]; let expected_values = vec![-1., -1.]; spectral_desc.do_(&chunk).unwrap(); for (expected, actual) in expected_values .iter() .zip(spectral_desc.get_rolloff().iter()) { assert!(0.0000001 > (expected - actual).abs()); } let song = Song::decode("data/tone_11080Hz.flac").unwrap(); let mut spectral_desc = SpectralDesc::new(SAMPLE_RATE).unwrap(); for chunk in song.sample_array.chunks_exact(SpectralDesc::HOP_SIZE) { spectral_desc.do_(&chunk).unwrap(); } let expected_values = vec![0.9967681, -0.99615175]; for (expected, actual) in expected_values .iter() .zip(spectral_desc.get_rolloff().iter()) { assert!(0.0001 > (expected - actual).abs()); } } #[test] fn test_spectral_roll_off() { let song = Song::decode("data/s16_mono_22_5kHz.flac").unwrap(); let mut spectral_desc = SpectralDesc::new(SAMPLE_RATE).unwrap(); for chunk in song.sample_array.chunks_exact(SpectralDesc::HOP_SIZE) { spectral_desc.do_(&chunk).unwrap(); } let expected_values = vec![-0.6326486, -0.7260933]; // Roll-off mean value computed here with phase vocoder before normalization: 2026.7644 // Essentia value with spectrum / hann window: 1979.632683520047 for (expected, actual) in expected_values .iter() .zip(spectral_desc.get_rolloff().iter()) { assert!(0.01 > (expected - actual).abs()); } } #[test] fn test_spectral_centroid() { let song = Song::decode("data/s16_mono_22_5kHz.flac").unwrap(); let mut spectral_desc = SpectralDesc::new(SAMPLE_RATE).unwrap(); for chunk in song.sample_array.chunks_exact(SpectralDesc::HOP_SIZE) { spectral_desc.do_(&chunk).unwrap(); } // Spectral centroid mean value computed here with phase vocoder before normalization: 1354.2273 // Essentia value with spectrum / hann window: 1351 let expected_values = vec![-0.75483, -0.87916887]; for (expected, actual) in expected_values .iter() .zip(spectral_desc.get_centroid().iter()) { assert!(0.0001 > (expected - actual).abs()); } } #[test] fn test_spectral_centroid_boundaries() { let mut spectral_desc = SpectralDesc::new(10).unwrap(); let chunk = vec![0.; 512]; spectral_desc.do_(&chunk).unwrap(); let expected_values = vec![-1., -1.]; for (expected, actual) in expected_values .iter() .zip(spectral_desc.get_centroid().iter()) { assert!(0.0000001 > (expected - actual).abs()); } let song = Song::decode("data/tone_11080Hz.flac").unwrap(); let mut spectral_desc = SpectralDesc::new(SAMPLE_RATE).unwrap(); for chunk in song.sample_array.chunks_exact(SpectralDesc::HOP_SIZE) { spectral_desc.do_(&chunk).unwrap(); } let expected_values = vec![0.97266, -0.9609926]; for (expected, actual) in expected_values .iter() .zip(spectral_desc.get_centroid().iter()) { assert!(0.00001 > (expected - actual).abs()); } } } #[cfg(all(feature = "bench", test))] mod bench { extern crate test; use crate::timbral::{SpectralDesc, ZeroCrossingRateDesc}; use test::Bencher; #[bench] fn bench_spectral_desc(b: &mut Bencher) { let mut spectral_desc = SpectralDesc::new(10).unwrap(); let chunk = vec![0.; 512]; b.iter(|| { spectral_desc.do_(&chunk).unwrap(); }); } #[bench] fn bench_zcr_desc(b: &mut Bencher) { let mut zcr_desc = ZeroCrossingRateDesc::new(10); let chunk = vec![0.; 512]; b.iter(|| { zcr_desc.do_(&chunk); }); } }