2020-12-22 23:49:12 +08:00
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use serde::{Deserialize, Serialize};
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2021-01-18 05:19:14 +08:00
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#[derive(Copy, Clone, Default, Deserialize, Serialize)]
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pub struct IIRState(pub [i32; 5]);
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2020-12-22 23:49:12 +08:00
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fn macc(y0: i32, x: &[i32], a: &[i32], shift: u32) -> i32 {
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// Rounding bias, half up
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let y0 = ((y0 as i64) << shift) + (1 << (shift - 1));
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let y = x
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.iter()
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.zip(a)
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.map(|(x, a)| *x as i64 * *a as i64)
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.fold(y0, |y, xa| y + xa);
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(y >> shift) as i32
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}
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/// Integer biquad IIR
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///
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/// See `dsp::iir::IIR` for general implementation details.
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/// Offset and limiting disabled to suit lowpass applications.
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/// Coefficient scaling fixed and optimized.
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2021-01-18 05:19:14 +08:00
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#[derive(Copy, Clone, Default, Deserialize, Serialize)]
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2020-12-22 23:49:12 +08:00
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pub struct IIR {
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pub ba: IIRState,
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// pub y_offset: i32,
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// pub y_min: i32,
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// pub y_max: i32,
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}
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impl IIR {
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2021-01-22 22:11:16 +08:00
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/// Coefficient fixed point format: signed Q2.30.
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/// Tailored to low-passes, PI, II etc.
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2021-01-18 05:19:14 +08:00
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pub const SHIFT: u32 = 30;
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2020-12-22 23:49:12 +08:00
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/// Feed a new input value into the filter, update the filter state, and
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/// return the new output. Only the state `xy` is modified.
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///
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/// # Arguments
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/// * `xy` - Current filter state.
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/// * `x0` - New input.
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pub fn update(&self, xy: &mut IIRState, x0: i32) -> i32 {
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2021-01-18 05:19:14 +08:00
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let n = self.ba.0.len();
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debug_assert!(xy.0.len() == n);
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2020-12-22 23:49:12 +08:00
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// `xy` contains x0 x1 y0 y1 y2
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// Increment time x1 x2 y1 y2 y3
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// Shift x1 x1 x2 y1 y2
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// This unrolls better than xy.rotate_right(1)
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2021-01-18 05:19:14 +08:00
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xy.0.copy_within(0..n - 1, 1);
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2020-12-22 23:49:12 +08:00
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// Store x0 x0 x1 x2 y1 y2
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2021-01-18 05:19:14 +08:00
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xy.0[0] = x0;
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2020-12-22 23:49:12 +08:00
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// Compute y0 by multiply-accumulate
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2021-01-18 05:19:14 +08:00
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let y0 = macc(0, &xy.0, &self.ba.0, IIR::SHIFT);
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2020-12-22 23:49:12 +08:00
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// Limit y0
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// let y0 = y0.max(self.y_min).min(self.y_max);
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// Store y0 x0 x1 y0 y1 y2
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2021-01-18 05:19:14 +08:00
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xy.0[n / 2] = y0;
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2020-12-22 23:49:12 +08:00
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y0
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}
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}
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