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extern crate num;
use num::{Float, FromPrimitive};
extern crate hertz;
extern crate apodize;
extern crate itertools_num;
use itertools_num::linspace;
macro_rules! f64_from_usize {
($val:expr) => {
<f64>::from_usize($val)
.expect("type `f64` can't represent a specific value of type `usize` on this architecture.");
}
}
macro_rules! usize_from_f64 {
($val:expr) => {
<usize>::from_f64($val)
.expect("type `usize` can't represent a specific value of type `f64` on this architecture.");
}
}
#[inline]
pub fn hertz_from_mel(mel: f64) -> f64 {
700. * ((10.).powf(mel / 2595.) - 1.)
}
#[inline]
pub fn mel_from_hertz(hertz: f64) -> f64 {
2595. * (1. + hertz / 700.).log10()
}
pub struct MelScalingMatrixEnumerator<WindowIter> {
input_size: usize,
output_size: usize,
mel_from_hertz: fn(f64) -> f64,
hertz_from_mel: fn(f64) -> f64,
max_hertz: f64,
window_function: fn(usize) -> WindowIter,
row_index: usize,
col_index: usize,
start_mels_iter: itertools_num::Linspace<f64>,
end_mels_iter: itertools_num::Linspace<f64>,
window_start: usize,
window_size: usize,
window_iter: WindowIter
}
impl<WindowIter> MelScalingMatrixEnumerator<WindowIter>
where WindowIter: Iterator<Item=f64>
{
#[inline]
pub fn is_done(&self) -> bool {
self.is_after_last_row() && self.is_after_last_col()
}
#[inline]
pub fn is_after_last_row(&self) -> bool {
self.output_size <= self.row_index
}
#[inline]
pub fn is_after_last_col(&self) -> bool {
self.input_size <= self.col_index
}
#[inline]
pub fn index(&self) -> usize {
self.row_index * self.input_size + self.col_index
}
#[inline]
pub fn remaining(&self) -> usize {
self.len() - self.index()
}
}
impl<WindowIter> Iterator for MelScalingMatrixEnumerator<WindowIter>
where WindowIter: Iterator<Item=f64>
{
type Item = (usize, usize, f64);
#[inline]
fn next(&mut self) -> Option<(usize, usize, f64)> {
if self.is_done() {
return None;
}
if self.is_after_last_col() {
self.col_index = 0;
self.row_index += 1;
if self.is_after_last_row() {
return None;
}
let start_mel = self.start_mels_iter.next()
.expect("self.start_mels_iter.next()");
let end_mel = self.end_mels_iter.next()
.expect("self.end_mels_iter.next()");
let hertz_from_mel = self.hertz_from_mel;
let start_hertz = hertz_from_mel(start_mel);
let end_hertz = hertz_from_mel(end_mel);
self.window_start = usize_from_f64!((
start_hertz /
self.max_hertz *
f64_from_usize!(self.input_size)).floor());
let window_end = usize_from_f64!((
end_hertz /
self.max_hertz *
f64_from_usize!(self.input_size)).floor());
self.window_size = std::cmp::max(
window_end - self.window_start, 1);
let window_function = self.window_function;
self.window_iter = window_function(self.window_size);
}
let col = self.col_index;
let value = if col < self.window_start {
0.
} else {
match self.window_iter.next() {
Some(value) => {
value / f64_from_usize!(self.window_size)
},
None => 0.
}
};
self.col_index += 1;
Some((self.row_index, col, value))
}
#[inline]
fn size_hint(&self) -> (usize, Option<usize>) {
let remaining = self.remaining();
(remaining, Some(remaining))
}
}
impl<WindowIter> ExactSizeIterator for MelScalingMatrixEnumerator<WindowIter>
where WindowIter: Iterator<Item=f64>
{
#[inline]
fn len(&self) -> usize {
self.input_size * self.output_size
}
}
pub fn enumerate_mel_scaling_matrix_base<WindowIter>(
min_hertz: f64,
max_hertz: f64,
input_size: usize,
output_size: usize,
mel_from_hertz: fn(f64) -> f64,
hertz_from_mel: fn(f64) -> f64,
window_function: fn(usize) -> WindowIter
) -> MelScalingMatrixEnumerator<WindowIter>
where WindowIter: Iterator<Item=f64>
{
assert!(min_hertz < max_hertz);
assert!(output_size < input_size);
assert!(0 < output_size);
assert!(0 < input_size);
let min_mel = mel_from_hertz(min_hertz);
let max_mel = mel_from_hertz(max_hertz);
let mut start_mels_iter = linspace(min_mel, max_mel, output_size + 2);
let mut end_mels_iter = linspace(min_mel, max_mel, output_size + 2);
end_mels_iter.next();
end_mels_iter.next();
let start_mel = start_mels_iter.next().unwrap();
let end_mel = end_mels_iter.next().unwrap();
let start_hertz = hertz_from_mel(start_mel);
let end_hertz = hertz_from_mel(end_mel);
let start_index = usize_from_f64!((
start_hertz / max_hertz * f64_from_usize!(input_size)).floor());
let end_index = usize_from_f64!((
end_hertz / max_hertz * f64_from_usize!(input_size)).floor());
let window_size = std::cmp::max(end_index - start_index, 1);
let window_iter = window_function(window_size);
MelScalingMatrixEnumerator::<WindowIter> {
input_size: input_size,
output_size: output_size,
window_function: window_function,
hertz_from_mel: hertz_from_mel,
mel_from_hertz: mel_from_hertz,
max_hertz: max_hertz,
row_index: 0,
col_index: 0,
start_mels_iter: start_mels_iter,
end_mels_iter: end_mels_iter,
window_start: start_index,
window_size: window_size,
window_iter: window_iter,
}
}
pub fn enumerate_mel_scaling_matrix(
sample_rate: usize,
window_size: usize,
input_size: usize,
output_size: usize,
) -> MelScalingMatrixEnumerator<apodize::TriangularWindowIter>
{
enumerate_mel_scaling_matrix_base(
hertz::rayleigh(
f64_from_usize!(sample_rate),
f64_from_usize!(window_size)),
hertz::nyquist(f64_from_usize!(sample_rate)),
input_size,
output_size,
mel_from_hertz,
hertz_from_mel,
apodize::triangular_iter
)
}