// Copyright (c) 2021 Weird Constructor // This is a part of HexoDSP. Released under (A)GPLv3 or any later. // See README.md and COPYING for details. static FAST_COS_TAB_LOG2_SIZE : usize = 9; static FAST_COS_TAB_SIZE : usize = 1 << FAST_COS_TAB_LOG2_SIZE; // =512 static mut FAST_COS_TAB : [f32; 513] = [0.0; 513]; pub fn init_cos_tab() { for i in 0..(FAST_COS_TAB_SIZE+1) { let phase : f32 = (i as f32) * ((std::f32::consts::TAU) / (FAST_COS_TAB_SIZE as f32)); unsafe { // XXX: note: mutable statics can be mutated by multiple // threads: aliasing violations or data races // will cause undefined behavior FAST_COS_TAB[i] = phase.cos(); } } } const PHASE_SCALE : f32 = 1.0_f32 / (std::f32::consts::TAU); pub fn fast_cos(mut x: f32) -> f32 { x = x.abs(); // cosine is symmetrical around 0, let's get rid of negative values // normalize range from 0..2PI to 1..2 let phase = x * PHASE_SCALE; let index = FAST_COS_TAB_SIZE as f32 * phase; let fract = index.fract(); let index = index.floor() as usize; unsafe { // XXX: note: mutable statics can be mutated by multiple // threads: aliasing violations or data races // will cause undefined behavior let left = FAST_COS_TAB[index as usize]; let right = FAST_COS_TAB[index as usize + 1]; return left + (right - left) * fract; } } pub fn fast_sin(x: f32) -> f32 { fast_cos(x - (std::f32::consts::PI / 2.0)) } static mut WHITE_NOISE_TAB: [f64; 1024] = [0.0; 1024]; pub fn init_white_noise_tab() { let mut rng = RandGen::new(); unsafe { for i in 0..WHITE_NOISE_TAB.len() { WHITE_NOISE_TAB[i as usize] = rng.next_open01(); } } } #[derive(Debug, Copy, Clone, PartialEq)] pub struct RandGen { r: [u64; 2], } // Taken from xoroshiro128 crate under MIT License // Implemented by Matthew Scharley (Copyright 2016) // https://github.com/mscharley/rust-xoroshiro128 pub fn next_xoroshiro128(state: &mut [u64; 2]) -> u64 { let s0: u64 = state[0]; let mut s1: u64 = state[1]; let result: u64 = s0.wrapping_add(s1); s1 ^= s0; state[0] = s0.rotate_left(55) ^ s1 ^ (s1 << 14); // a, b state[1] = s1.rotate_left(36); // c result } // Taken from rand::distributions // Licensed under the Apache License, Version 2.0 // Copyright 2018 Developers of the Rand project. pub fn u64_to_open01(u: u64) -> f64 { use core::f64::EPSILON; let float_size = std::mem::size_of::() as u32 * 8; let fraction = u >> (float_size - 52); let exponent_bits: u64 = (1023 as u64) << 52; f64::from_bits(fraction | exponent_bits) - (1.0 - EPSILON / 2.0) } impl RandGen { pub fn new() -> Self { RandGen { r: [0x193a6754a8a7d469, 0x97830e05113ba7bb], } } pub fn next(&mut self) -> u64 { next_xoroshiro128(&mut self.r) } pub fn next_open01(&mut self) -> f64 { u64_to_open01(self.next()) } } #[derive(Debug, Copy, Clone)] pub struct Rng { sm: SplitMix64, } impl Rng { pub fn new() -> Self { Self { sm: SplitMix64::new(0x193a67f4a8a6d769) } } pub fn seed(&mut self, seed: u64) { println!("SEED {}", seed); self.sm = SplitMix64::new(seed); } #[inline] pub fn next(&mut self) -> f32 { self.sm.next_open01() as f32 } } // Copyright 2018 Developers of the Rand project. // // Licensed under the Apache License, Version 2.0 or the MIT license // , at your // option. This file may not be copied, modified, or distributed // except according to those terms. //- splitmix64 (http://xoroshiro.di.unimi.it/splitmix64.c) // /// A splitmix64 random number generator. /// /// The splitmix algorithm is not suitable for cryptographic purposes, but is /// very fast and has a 64 bit state. /// /// The algorithm used here is translated from [the `splitmix64.c` /// reference source code](http://xoshiro.di.unimi.it/splitmix64.c) by /// Sebastiano Vigna. For `next_u32`, a more efficient mixing function taken /// from [`dsiutils`](http://dsiutils.di.unimi.it/) is used. #[derive(Debug, Copy, Clone)] pub struct SplitMix64(pub u64); const PHI: u64 = 0x9e3779b97f4a7c15; impl SplitMix64 { pub fn new(seed: u64) -> Self { Self(seed) } pub fn new_from_i64(seed: i64) -> Self { Self::new(u64::from_be_bytes(seed.to_be_bytes())) } #[inline] pub fn next_u64(&mut self) -> u64 { self.0 = self.0.wrapping_add(PHI); let mut z = self.0; z = (z ^ (z >> 30)).wrapping_mul(0xbf58476d1ce4e5b9); z = (z ^ (z >> 27)).wrapping_mul(0x94d049bb133111eb); z ^ (z >> 31) } #[inline] pub fn next_i64(&mut self) -> i64 { i64::from_be_bytes( self.next_u64().to_be_bytes()) } #[inline] pub fn next_open01(&mut self) -> f64 { u64_to_open01(self.next_u64()) } } #[inline] pub fn crossfade(v1: f32, v2: f32, mix: f32) -> f32 { v1 * (1.0 - mix) + v2 * mix } #[inline] pub fn clamp(f: f32, min: f32, max: f32) -> f32 { if f < min { min } else if f > max { max } else { f } } pub fn square_135(phase: f32) -> f32 { fast_sin(phase) + fast_sin(phase * 3.0) / 3.0 + fast_sin(phase * 5.0) / 5.0 } pub fn square_35(phase: f32) -> f32 { fast_sin(phase * 3.0) / 3.0 + fast_sin(phase * 5.0) / 5.0 } // note: MIDI note value? pub fn note_to_freq(note: f32) -> f32 { 440.0 * (2.0_f32).powf((note - 69.0) / 12.0) } // Ported from LMMS under GPLv2 // * DspEffectLibrary.h - library with template-based inline-effects // * Copyright (c) 2006-2014 Tobias Doerffel // /// Signal distortion /// ```text /// gain: 0.1 - 5.0 default = 1.0 /// threshold: 0.0 - 100.0 default = 0.8 /// i: signal /// ``` pub fn f_distort(gain: f32, threshold: f32, i: f32) -> f32 { gain * ( i * ( i.abs() + threshold ) / ( i * i + (threshold - 1.0) * i.abs() + 1.0 )) } // Ported from LMMS under GPLv2 // * DspEffectLibrary.h - library with template-based inline-effects // * Copyright (c) 2006-2014 Tobias Doerffel // /// Foldback Signal distortion /// ```text /// gain: 0.1 - 5.0 default = 1.0 /// threshold: 0.0 - 100.0 default = 0.8 /// i: signal /// ``` pub fn f_fold_distort(gain: f32, threshold: f32, i: f32) -> f32 { if i >= threshold || i < -threshold { gain * (( ((i - threshold) % threshold * 4.0).abs() - threshold * 2.0).abs() - threshold) } else { gain * i } } pub fn lerp(x: f32, a: f32, b: f32) -> f32 { (a * (1.0 - x)) + (b * x) } pub fn lerp64(x: f64, a: f64, b: f64) -> f64 { (a * (1.0 - x)) + (b * x) } pub fn p2range(x: f32, a: f32, b: f32) -> f32 { lerp(x, a, b) } pub fn p2range_exp(x: f32, a: f32, b: f32) -> f32 { let x = x * x; (a * (1.0 - x)) + (b * x) } pub fn p2range_exp4(x: f32, a: f32, b: f32) -> f32 { let x = x * x * x * x; (a * (1.0 - x)) + (b * x) } pub fn range2p(v: f32, a: f32, b: f32) -> f32 { ((v - a) / (b - a)).abs() } pub fn range2p_exp(v: f32, a: f32, b: f32) -> f32 { (((v - a) / (b - a)).abs()).sqrt() } pub fn range2p_exp4(v: f32, a: f32, b: f32) -> f32 { (((v - a) / (b - a)).abs()).sqrt().sqrt() } /// ```text /// gain: 24.0 - -90.0 default = 0.0 /// ``` pub fn gain2coef(gain: f32) -> f32 { if gain > -90.0 { 10.0_f32.powf(gain * 0.05) } else { 0.0 } } // quickerTanh / quickerTanh64 credits to mopo synthesis library: // Under GPLv3 or any later. // Little IO // Matt Tytel pub fn quicker_tanh64(v: f64) -> f64 { let square = v * v; v / (1.0 + square / (3.0 + square / 5.0)) } pub fn quicker_tanh(v: f32) -> f32 { let square = v * v; v / (1.0 + square / (3.0 + square / 5.0)) } // quickTanh / quickTanh64 credits to mopo synthesis library: // Under GPLv3 or any later. // Little IO // Matt Tytel pub fn quick_tanh64(v: f64) -> f64 { let abs_v = v.abs(); let square = v * v; let num = v * (2.45550750702956 + 2.45550750702956 * abs_v + square * (0.893229853513558 + 0.821226666969744 * abs_v)); let den = 2.44506634652299 + (2.44506634652299 + square) * (v + 0.814642734961073 * v * abs_v).abs(); num / den } pub fn quick_tanh(v: f32) -> f32 { let abs_v = v.abs(); let square = v * v; let num = v * (2.45550750702956 + 2.45550750702956 * abs_v + square * (0.893229853513558 + 0.821226666969744 * abs_v)); let den = 2.44506634652299 + (2.44506634652299 + square) * (v + 0.814642734961073 * v * abs_v).abs(); num / den } /// A helper function for exponential envelopes: #[inline] pub fn sqrt4_to_pow4(x: f32, v: f32) -> f32 { if v > 0.75 { let xsq1 = x.sqrt(); let xsq = xsq1.sqrt(); let v = (v - 0.75) * 4.0; xsq1 * (1.0 - v) + xsq * v } else if v > 0.5 { let xsq = x.sqrt(); let v = (v - 0.5) * 4.0; x * (1.0 - v) + xsq * v } else if v > 0.25 { let xx = x * x; let v = (v - 0.25) * 4.0; x * v + xx * (1.0 - v) } else { let xx = x * x; let xxxx = xx * xx; let v = v * 4.0; xx * v + xxxx * (1.0 - v) } } /// A-100 Eurorack states, that a trigger is usually 2-10 milliseconds. const TRIG_SIGNAL_LENGTH_MS : f32 = 2.0; #[derive(Debug, Clone, Copy)] pub struct TrigSignal { length: u32, scount: u32, } impl TrigSignal { pub fn new() -> Self { Self { length: ((44100.0 * TRIG_SIGNAL_LENGTH_MS) / 1000.0).ceil() as u32, scount: 0, } } pub fn reset(&mut self) { self.scount = 0; } pub fn set_sample_rate(&mut self, srate: f32) { self.length = ((srate * TRIG_SIGNAL_LENGTH_MS) / 1000.0).ceil() as u32; self.scount = 0; } #[inline] pub fn trigger(&mut self) { self.scount = self.length; } #[inline] pub fn next(&mut self) -> f32 { if self.scount > 0 { self.scount -= 1; 1.0 } else { 0.0 } } } impl Default for TrigSignal { fn default() -> Self { Self::new() } } #[derive(Debug, Clone, Copy)] pub struct Trigger { triggered: bool, } impl Trigger { pub fn new() -> Self { Self { triggered: false, } } #[inline] pub fn reset(&mut self) { self.triggered = false; } #[inline] pub fn check_trigger(&mut self, input: f32) -> bool { if self.triggered { if input <= 0.25 { self.triggered = false; } false } else if input > 0.75 { self.triggered = true; true } else { false } } } #[derive(Debug, Clone, Copy)] pub struct TriggerPhaseClock { clock_phase: f64, clock_inc: f64, prev_trigger: bool, clock_samples: u32, } impl TriggerPhaseClock { pub fn new() -> Self { Self { clock_phase: 0.0, clock_inc: 0.0, prev_trigger: true, clock_samples: 0, } } #[inline] pub fn reset(&mut self) { self.clock_samples = 0; self.clock_inc = 0.0; self.prev_trigger = true; self.clock_samples = 0; } #[inline] pub fn sync(&mut self) { self.clock_phase = 0.0; } #[inline] pub fn next_phase(&mut self, clock_limit: f64, trigger_in: f32) -> f64 { if self.prev_trigger { if trigger_in <= 0.25 { self.prev_trigger = false; } } else if trigger_in > 0.75 { self.prev_trigger = true; if self.clock_samples > 0 { self.clock_inc = 1.0 / (self.clock_samples as f64); } self.clock_samples = 0; } self.clock_samples += 1; self.clock_phase += self.clock_inc; self.clock_phase = self.clock_phase % clock_limit; self.clock_phase } } #[derive(Debug, Clone, Copy)] pub struct TriggerSampleClock { prev_trigger: bool, clock_samples: u32, counter: u32, } impl TriggerSampleClock { pub fn new() -> Self { Self { prev_trigger: true, clock_samples: 0, counter: 0, } } #[inline] pub fn reset(&mut self) { self.clock_samples = 0; self.counter = 0; } #[inline] pub fn next(&mut self, trigger_in: f32) -> u32 { if self.prev_trigger { if trigger_in <= 0.25 { self.prev_trigger = false; } } else if trigger_in > 0.75 { self.prev_trigger = true; self.clock_samples = self.counter; self.counter = 0; } self.counter += 1; self.clock_samples } } /// Default size of the delay buffer: 5 seconds at 8 times 48kHz const DEFAULT_DELAY_BUFFER_SAMPLES : usize = 8 * 48000 * 5; #[derive(Debug, Clone)] pub struct DelayBuffer { data: Vec, wr: usize, srate: f32, } impl DelayBuffer { pub fn new() -> Self { Self { data: vec![0.0; DEFAULT_DELAY_BUFFER_SAMPLES], wr: 0, srate: 44100.0, } } pub fn new_with_size(size: usize) -> Self { Self { data: vec![0.0; size], wr: 0, srate: 44100.0, } } pub fn set_sample_rate(&mut self, srate: f32) { self.srate = srate; } pub fn reset(&mut self) { self.data.fill(0.0); self.wr = 0; } /// Feed one sample into the delay line and increment the write pointer. /// Please note: For sample accurate feedback you need to retrieve the /// output of the delay line before feeding in a new signal. #[inline] pub fn feed(&mut self, input: f32) { self.data[self.wr] = input; self.wr = (self.wr + 1) % self.data.len(); } #[inline] pub fn cubic_interpolate_at(&self, delay_time: f32) -> f32 { let data = &self.data[..]; let len = data.len(); let s_offs = (delay_time * self.srate) / 1000.0; let offs = s_offs.floor() as usize % len; let fract = s_offs.fract(); let i = (self.wr + len) - offs; // Hermite interpolation, take from // https://github.com/eric-wood/delay/blob/main/src/delay.rs#L52 // // Thanks go to Eric Wood! // // For the interpolation code: // MIT License, Copyright (c) 2021 Eric Wood let xm1 = data[(i - 1) % len]; let x0 = data[i % len]; let x1 = data[(i + 1) % len]; let x2 = data[(i + 2) % len]; let c = (x1 - xm1) * 0.5; let v = x0 - x1; let w = c + v; let a = w + v + (x2 - x0) * 0.5; let b_neg = w + a; let fract = fract as f32; (((a * fract) - b_neg) * fract + c) * fract + x0 } #[inline] pub fn nearest_at(&self, delay_time: f32) -> f32 { let len = self.data.len(); let offs = (delay_time * self.srate).floor() as usize % len; let idx = ((self.wr + len) - offs) % len; self.data[idx] } #[inline] pub fn at(&self, delay_sample_count: usize) -> f32 { let len = self.data.len(); let idx = ((self.wr + len) - delay_sample_count) % len; self.data[idx] } } /// Default size of the delay buffer: 1 seconds at 8 times 48kHz const DEFAULT_ALLPASS_COMB_SAMPLES : usize = 8 * 48000; #[derive(Debug, Clone)] pub struct AllPass { delay: DelayBuffer, } impl AllPass { pub fn new() -> Self { Self { delay: DelayBuffer::new_with_size(DEFAULT_ALLPASS_COMB_SAMPLES), } } pub fn set_sample_rate(&mut self, srate: f32) { self.delay.set_sample_rate(srate); } pub fn reset(&mut self) { self.delay.reset(); } #[inline] pub fn next(&mut self, time: f32, g: f32, v: f32) -> f32 { let s = self.delay.cubic_interpolate_at(time); self.delay.feed(v + s * g); s + -1.0 * g * v } } #[derive(Debug, Clone)] pub struct Comb { delay: DelayBuffer, } impl Comb { pub fn new() -> Self { Self { delay: DelayBuffer::new_with_size(DEFAULT_ALLPASS_COMB_SAMPLES), } } pub fn set_sample_rate(&mut self, srate: f32) { self.delay.set_sample_rate(srate); } pub fn reset(&mut self) { self.delay.reset(); } #[inline] pub fn next_feedback(&mut self, time: f32, g: f32, v: f32) -> f32 { let s = self.delay.cubic_interpolate_at(time); self.delay.feed(v + s * g); v } #[inline] pub fn next_feedforward(&mut self, time: f32, g: f32, v: f32) -> f32 { let s = self.delay.cubic_interpolate_at(time); self.delay.feed(v); v + s * g } } // translated from Odin 2 Synthesizer Plugin // Copyright (C) 2020 TheWaveWarden // under GPLv3 or any later #[derive(Debug, Clone)] pub struct DCBlockFilter { xm1: f64, ym1: f64, r: f64, } impl DCBlockFilter { pub fn new() -> Self { Self { xm1: 0.0, ym1: 0.0, r: 0.995, } } pub fn reset(&mut self) { self.xm1 = 0.0; self.ym1 = 0.0; } pub fn set_sample_rate(&mut self, srate: f32) { self.r = 0.995; if srate > 90000.0 { self.r = 0.9965; } else if srate > 120000.0 { self.r = 0.997; } } pub fn next(&mut self, input: f32) -> f32 { let y = input as f64 - self.xm1 + self.r * self.ym1; self.xm1 = input as f64; self.ym1 = y; y as f32 } } #[cfg(test)] mod tests { use super::*; #[test] fn check_range2p_exp() { let a = p2range_exp(0.5, 1.0, 100.0); let x = range2p_exp(a, 1.0, 100.0); assert!((x - 0.5).abs() < std::f32::EPSILON); } #[test] fn check_range2p() { let a = p2range(0.5, 1.0, 100.0); let x = range2p(a, 1.0, 100.0); assert!((x - 0.5).abs() < std::f32::EPSILON); } }