1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
//! # cic-fixed
//!
//! A CIC filter implementation for fixed point numbers.  
//! Implemented for use in converting PDM to PCM.  
//!
//! ## Example
//!
//! ```rust
//! use cic_fixed::CicDecimationFilter;
//!
//! let mut filter = CicDecimationFilter::<4, 2>::new();
//! let result = filter.filter(0);
//! assert!(result.is_none());
//! let result = filter.filter(1);
//! assert!(result.is_none());
//! let result = filter.filter(2);
//! assert!(result.is_none());
//! let result = filter.filter(3);
//! assert!(result.is_some());
//! assert_eq!(result.unwrap(), 10);
//! ```
//!
#![cfg_attr(not(test), no_std)]

mod decimator;
mod differentiator;
mod integrator;

/// CIC decimation filter.  
/// - `M` - Decimation factor  
/// - `N` - Number of stages  
pub struct CicDecimationFilter<const M: usize, const N: usize> {
    decimator: decimator::Decimator<M>,
    integrators: [integrator::Integrator; N],
    differentiators: [differentiator::Differentiator; N],
}

impl<const M: usize, const N: usize> CicDecimationFilter<M, N> {
    pub fn new() -> Self {
        Self {
            decimator: decimator::Decimator::new(),
            integrators: [integrator::Integrator::new(); N],
            differentiators: [differentiator::Differentiator::new(); N],
        }
    }

    /// Process the input and return the output when the decimator is ready to output a value.     
    ///
    /// # Arguments
    ///
    /// * `input` - The input to filter.
    ///
    /// # Returns
    ///
    /// The output of the filter.  
    /// When the decimator is ready to output a value, it will return some(input). Otherwise, it will return None.  
    #[inline]
    pub fn filter(&mut self, input: i32) -> Option<i32> {
        let mut output = input;
        for integrator in self.integrators.iter_mut() {
            output = integrator.integrate(output);
        }

        if let Some(output) = self.decimator.decimate(output) {
            let mut v = output;
            for differentiator in self.differentiators.iter_mut() {
                v = differentiator.differentiate(v);
            }
            // TODO 出力はM^Nで割らないといけないかも
            Some(v)
        } else {
            None
        }
    }
}

impl<const M: usize, const N: usize> Default for CicDecimationFilter<M, N> {
    fn default() -> Self {
        Self::new()
    }
}

#[cfg(test)]
mod tests {
    use super::*;

    #[test]
    fn cic_decimation_test() {
        let mut filter = CicDecimationFilter::<4, 2>::new();
        let result = filter.filter(0);
        assert!(result.is_none());
        let result = filter.filter(1);
        assert!(result.is_none());
        let result = filter.filter(2);
        assert!(result.is_none());
        let result = filter.filter(3);
        assert!(result.is_some());
        assert_eq!(result.unwrap(), 10);

        let result = filter.filter(2);
        assert!(result.is_none());
        let result = filter.filter(-1);
        assert!(result.is_none());
        let result = filter.filter(-2);
        assert!(result.is_none());
        let result = filter.filter(1);
        assert!(result.is_some());
        assert_eq!(result.unwrap(), 16);

        let result = filter.filter(2);
        assert!(result.is_none());
        let result = filter.filter(-1);
        assert!(result.is_none());
        let result = filter.filter(-2);
        assert!(result.is_none());
        let result = filter.filter(1);
        assert!(result.is_some());
        assert_eq!(result.unwrap(), 0);

        let result = filter.filter(2);
        assert!(result.is_none());
        let result = filter.filter(-1);
        assert!(result.is_none());
        let result = filter.filter(-2);
        assert!(result.is_none());
        let result = filter.filter(1);
        assert!(result.is_some());
        assert_eq!(result.unwrap(), 0);

        let result = filter.filter(0);
        assert!(result.is_none());
        let result = filter.filter(1);
        assert!(result.is_none());
        let result = filter.filter(2);
        assert!(result.is_none());
        let result = filter.filter(3);
        assert!(result.is_some());
        assert_eq!(result.unwrap(), 8);

        let result = filter.filter(3);
        assert!(result.is_none());
        let result = filter.filter(3);
        assert!(result.is_none());
        let result = filter.filter(-2);
        assert!(result.is_none());
        let result = filter.filter(1);
        assert!(result.is_some());
        assert_eq!(result.unwrap(), 32);
    }

    #[test]
    fn overflow_test() {
        let mut filter = CicDecimationFilter::<4, 2>::new();

        for _ in 0..1000 {
            filter.filter(i32::MAX);
        }
    }
}