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| 1 | +use ndarray::{ArrayBase, Data, Dimension, Zip}; |
| 2 | +use num_traits::{Signed, ToPrimitive}; |
| 3 | +use std::convert::Into; |
| 4 | +use std::ops::AddAssign; |
| 5 | + |
| 6 | +use crate::errors::{MultiInputError, ShapeMismatch}; |
| 7 | + |
| 8 | +/// Extension trait for `ArrayBase` providing functions |
| 9 | +/// to compute different deviation measures. |
| 10 | +pub trait DeviationExt<A, S, D> |
| 11 | +where |
| 12 | + S: Data<Elem = A>, |
| 13 | + D: Dimension, |
| 14 | +{ |
| 15 | + fn count_eq(&self, other: &ArrayBase<S, D>) -> Result<usize, MultiInputError> |
| 16 | + where |
| 17 | + A: PartialEq; |
| 18 | + |
| 19 | + fn count_neq(&self, other: &ArrayBase<S, D>) -> Result<usize, MultiInputError> |
| 20 | + where |
| 21 | + A: PartialEq; |
| 22 | + |
| 23 | + fn sq_l2_dist(&self, other: &ArrayBase<S, D>) -> Result<A, MultiInputError> |
| 24 | + where |
| 25 | + A: AddAssign + Clone + Signed; |
| 26 | + |
| 27 | + fn l2_dist(&self, other: &ArrayBase<S, D>) -> Result<f64, MultiInputError> |
| 28 | + where |
| 29 | + A: AddAssign + Clone + Signed + ToPrimitive; |
| 30 | + |
| 31 | + fn l1_dist(&self, other: &ArrayBase<S, D>) -> Result<A, MultiInputError> |
| 32 | + where |
| 33 | + A: AddAssign + Clone + Signed; |
| 34 | + |
| 35 | + fn linf_dist(&self, other: &ArrayBase<S, D>) -> Result<A, MultiInputError> |
| 36 | + where |
| 37 | + A: Clone + PartialOrd + Signed; |
| 38 | + |
| 39 | + fn mean_abs_dev(&self, other: &ArrayBase<S, D>) -> Result<f64, MultiInputError> |
| 40 | + where |
| 41 | + A: AddAssign + Clone + Signed + ToPrimitive; |
| 42 | + |
| 43 | + fn max_abs_dev(&self, other: &ArrayBase<S, D>) -> Result<A, MultiInputError> |
| 44 | + where |
| 45 | + A: Clone + PartialOrd + Signed; |
| 46 | + |
| 47 | + fn mean_sq_dev(&self, other: &ArrayBase<S, D>) -> Result<f64, MultiInputError> |
| 48 | + where |
| 49 | + A: AddAssign + Clone + Signed + ToPrimitive; |
| 50 | + |
| 51 | + fn root_mean_sq_dev(&self, other: &ArrayBase<S, D>) -> Result<f64, MultiInputError> |
| 52 | + where |
| 53 | + A: AddAssign + Clone + Signed + ToPrimitive; |
| 54 | + |
| 55 | + fn peak_signal_to_noise_ratio( |
| 56 | + &self, |
| 57 | + other: &ArrayBase<S, D>, |
| 58 | + maxv: A, |
| 59 | + ) -> Result<f64, MultiInputError> |
| 60 | + where |
| 61 | + A: AddAssign + Clone + Signed + ToPrimitive; |
| 62 | + |
| 63 | + private_decl! {} |
| 64 | +} |
| 65 | + |
| 66 | +macro_rules! return_err_if_empty { |
| 67 | + ($arr:expr) => { |
| 68 | + if $arr.len() == 0 { |
| 69 | + return Err(MultiInputError::EmptyInput); |
| 70 | + } |
| 71 | + }; |
| 72 | +} |
| 73 | +macro_rules! return_err_unless_same_shape { |
| 74 | + ($arr_a:expr, $arr_b:expr) => { |
| 75 | + if $arr_a.shape() != $arr_b.shape() { |
| 76 | + return Err(ShapeMismatch { |
| 77 | + first_shape: $arr_a.shape().to_vec(), |
| 78 | + second_shape: $arr_b.shape().to_vec(), |
| 79 | + } |
| 80 | + .into()); |
| 81 | + } |
| 82 | + }; |
| 83 | +} |
| 84 | + |
| 85 | +impl<A, S, D> DeviationExt<A, S, D> for ArrayBase<S, D> |
| 86 | +where |
| 87 | + S: Data<Elem = A>, |
| 88 | + D: Dimension, |
| 89 | +{ |
| 90 | + fn count_eq(&self, other: &ArrayBase<S, D>) -> Result<usize, MultiInputError> |
| 91 | + where |
| 92 | + A: PartialEq, |
| 93 | + { |
| 94 | + return_err_if_empty!(self); |
| 95 | + return_err_unless_same_shape!(self, other); |
| 96 | + |
| 97 | + let mut count = 0; |
| 98 | + |
| 99 | + Zip::from(self).and(other).apply(|a, b| { |
| 100 | + if a == b { |
| 101 | + count += 1; |
| 102 | + } |
| 103 | + }); |
| 104 | + |
| 105 | + Ok(count) |
| 106 | + } |
| 107 | + |
| 108 | + fn count_neq(&self, other: &ArrayBase<S, D>) -> Result<usize, MultiInputError> |
| 109 | + where |
| 110 | + A: PartialEq, |
| 111 | + { |
| 112 | + self.count_eq(other).map(|n_eq| self.len() - n_eq) |
| 113 | + } |
| 114 | + |
| 115 | + fn sq_l2_dist(&self, other: &ArrayBase<S, D>) -> Result<A, MultiInputError> |
| 116 | + where |
| 117 | + A: AddAssign + Clone + Signed, |
| 118 | + { |
| 119 | + return_err_if_empty!(self); |
| 120 | + return_err_unless_same_shape!(self, other); |
| 121 | + |
| 122 | + let mut result = A::zero(); |
| 123 | + |
| 124 | + Zip::from(self).and(other).apply(|self_i, other_i| { |
| 125 | + let (a, b) = (self_i.clone(), other_i.clone()); |
| 126 | + let abs_diff = (a - b).abs(); |
| 127 | + result += abs_diff.clone() * abs_diff; |
| 128 | + }); |
| 129 | + |
| 130 | + Ok(result) |
| 131 | + } |
| 132 | + |
| 133 | + fn l2_dist(&self, other: &ArrayBase<S, D>) -> Result<f64, MultiInputError> |
| 134 | + where |
| 135 | + A: AddAssign + Clone + Signed + ToPrimitive, |
| 136 | + { |
| 137 | + let sq_l2_dist = self |
| 138 | + .sq_l2_dist(other)? |
| 139 | + .to_f64() |
| 140 | + .expect("failed cast from type A to f64"); |
| 141 | + |
| 142 | + Ok(sq_l2_dist.sqrt()) |
| 143 | + } |
| 144 | + |
| 145 | + fn l1_dist(&self, other: &ArrayBase<S, D>) -> Result<A, MultiInputError> |
| 146 | + where |
| 147 | + A: AddAssign + Clone + Signed, |
| 148 | + { |
| 149 | + return_err_if_empty!(self); |
| 150 | + return_err_unless_same_shape!(self, other); |
| 151 | + |
| 152 | + let mut result = A::zero(); |
| 153 | + |
| 154 | + Zip::from(self).and(other).apply(|self_i, other_i| { |
| 155 | + let (a, b) = (self_i.clone(), other_i.clone()); |
| 156 | + result += (a - b).abs(); |
| 157 | + }); |
| 158 | + |
| 159 | + Ok(result) |
| 160 | + } |
| 161 | + |
| 162 | + fn linf_dist(&self, other: &ArrayBase<S, D>) -> Result<A, MultiInputError> |
| 163 | + where |
| 164 | + A: Clone + PartialOrd + Signed, |
| 165 | + { |
| 166 | + return_err_if_empty!(self); |
| 167 | + return_err_unless_same_shape!(self, other); |
| 168 | + |
| 169 | + let mut max = A::zero(); |
| 170 | + |
| 171 | + Zip::from(self).and(other).apply(|self_i, other_i| { |
| 172 | + let (a, b) = (self_i.clone(), other_i.clone()); |
| 173 | + let diff = (a - b).abs(); |
| 174 | + if diff > max { |
| 175 | + max = diff; |
| 176 | + } |
| 177 | + }); |
| 178 | + |
| 179 | + Ok(max) |
| 180 | + } |
| 181 | + |
| 182 | + fn mean_abs_dev(&self, other: &ArrayBase<S, D>) -> Result<f64, MultiInputError> |
| 183 | + where |
| 184 | + A: AddAssign + Clone + Signed + ToPrimitive, |
| 185 | + { |
| 186 | + let a = self |
| 187 | + .l1_dist(other)? |
| 188 | + .to_f64() |
| 189 | + .expect("failed cast from type A to f64"); |
| 190 | + let b = self.len() as f64; |
| 191 | + |
| 192 | + Ok(a / b) |
| 193 | + } |
| 194 | + |
| 195 | + #[inline] |
| 196 | + fn max_abs_dev(&self, other: &ArrayBase<S, D>) -> Result<A, MultiInputError> |
| 197 | + where |
| 198 | + A: Clone + PartialOrd + Signed, |
| 199 | + { |
| 200 | + self.linf_dist(other) |
| 201 | + } |
| 202 | + |
| 203 | + fn mean_sq_dev(&self, other: &ArrayBase<S, D>) -> Result<f64, MultiInputError> |
| 204 | + where |
| 205 | + A: AddAssign + Clone + Signed + ToPrimitive, |
| 206 | + { |
| 207 | + let a = self |
| 208 | + .sq_l2_dist(other)? |
| 209 | + .to_f64() |
| 210 | + .expect("failed cast from type A to f64"); |
| 211 | + let b = self.len() as f64; |
| 212 | + |
| 213 | + Ok(a / b) |
| 214 | + } |
| 215 | + |
| 216 | + fn root_mean_sq_dev(&self, other: &ArrayBase<S, D>) -> Result<f64, MultiInputError> |
| 217 | + where |
| 218 | + A: AddAssign + Clone + Signed + ToPrimitive, |
| 219 | + { |
| 220 | + let msd = self.mean_sq_dev(other)?; |
| 221 | + Ok(msd.sqrt()) |
| 222 | + } |
| 223 | + |
| 224 | + fn peak_signal_to_noise_ratio( |
| 225 | + &self, |
| 226 | + other: &ArrayBase<S, D>, |
| 227 | + maxv: A, |
| 228 | + ) -> Result<f64, MultiInputError> |
| 229 | + where |
| 230 | + A: AddAssign + Clone + Signed + ToPrimitive, |
| 231 | + { |
| 232 | + let maxv_f = maxv.to_f64().expect("failed cast from type A to f64"); |
| 233 | + let msd = self.mean_sq_dev(&other)?; |
| 234 | + let psnr = 10. * f64::log10(maxv_f * maxv_f / msd); |
| 235 | + |
| 236 | + Ok(psnr) |
| 237 | + } |
| 238 | + |
| 239 | + private_impl! {} |
| 240 | +} |
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