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| 1 | +//! A LRM (linear reference model) is an abstract representation |
| 2 | +//! where the geometry and real distances are not considered |
| 3 | +
|
| 4 | +use thiserror::Error; |
| 5 | + |
| 6 | +/// Errors when manipulating an LrmScale |
| 7 | +#[derive(Error, Debug, PartialEq)] |
| 8 | +pub enum LrmScaleError { |
| 9 | + /// Returned when building a scale from a builder and no name anchor was provided |
| 10 | + #[error("a scale needs at least one named anchor")] |
| 11 | + NoNamedAnchor, |
| 12 | + /// All the named anchors must be unique within a same scale |
| 13 | + #[error("duplicated anchor: {0}")] |
| 14 | + DuplicatedAnchorName(String), |
| 15 | + /// Could not find the position on the curve as the anchor is not known |
| 16 | + #[error("anchor is unknown in the LrmScale")] |
| 17 | + UnknownAnchorName, |
| 18 | + /// Could not find an anchor that matches a given offset |
| 19 | + #[error("no anchor found")] |
| 20 | + NoAnchorFound, |
| 21 | +} |
| 22 | + |
| 23 | +/// An anchor is a reference point that is well known from which the location is computed |
| 24 | +#[derive(PartialEq, Debug)] |
| 25 | + |
| 26 | +pub struct Anchor { |
| 27 | + /// Some anchors might not be named |
| 28 | + /// e.g. the first anchor of the LRM |
| 29 | + pub id: Option<String>, |
| 30 | + /// Offset to the start of the scale. Can be negative |
| 31 | + pub offset: f64, |
| 32 | +} |
| 33 | + |
| 34 | +impl Anchor { |
| 35 | + /// Build a named anchor |
| 36 | + pub fn new(name: &str, offset: f64) -> Self { |
| 37 | + Self { |
| 38 | + id: Some(name.to_owned()), |
| 39 | + offset, |
| 40 | + } |
| 41 | + } |
| 42 | + |
| 43 | + /// Build an unamed anchor |
| 44 | + pub fn new_unamed(offset: f64) -> Self { |
| 45 | + Self { id: None, offset } |
| 46 | + } |
| 47 | +} |
| 48 | + |
| 49 | +/// A helper to build a scale by adding consecutives anchors |
| 50 | +
|
| 51 | +pub struct ScaleBuilder { |
| 52 | + anchors: Vec<Anchor>, |
| 53 | + cummulative_distances: Vec<f64>, |
| 54 | +} |
| 55 | + |
| 56 | +impl ScaleBuilder { |
| 57 | + /// Create a new builder with the initial anchor |
| 58 | + pub fn new(start: Anchor) -> Self { |
| 59 | + Self { |
| 60 | + anchors: vec![start], |
| 61 | + cummulative_distances: vec![0.], |
| 62 | + } |
| 63 | + } |
| 64 | + /// Distance_to_previous is measured along a curve |
| 65 | + /// The curve might not start at the same 0 (e.g. the curve is longer than the scale) |
| 66 | + /// or the curve might not progress at the same rate (e.g. the curve is a schematic representation that distorts distances) |
| 67 | + pub fn add(&mut self, anchor: Anchor, distance_to_previous: f64) -> &mut Self { |
| 68 | + self.anchors.push(anchor); |
| 69 | + let last_distance = self.cummulative_distances.last().unwrap_or(&0.); |
| 70 | + self.cummulative_distances |
| 71 | + .push(distance_to_previous + last_distance); |
| 72 | + self |
| 73 | + } |
| 74 | + |
| 75 | + /// Requires at least one named anchor |
| 76 | + /// Will fail if none is present and if the anchors names are duplicated |
| 77 | + /// This will consume the builder that can not be used after |
| 78 | + pub fn build(self) -> Result<LrmScale, LrmScaleError> { |
| 79 | + let mut names = std::collections::HashSet::new(); |
| 80 | + for anchor in self.anchors.iter() { |
| 81 | + if let Some(name) = &anchor.id { |
| 82 | + if names.contains(&name) { |
| 83 | + return Err(LrmScaleError::DuplicatedAnchorName(name.to_string())); |
| 84 | + } else { |
| 85 | + names.insert(name); |
| 86 | + } |
| 87 | + } |
| 88 | + } |
| 89 | + |
| 90 | + if names.is_empty() { |
| 91 | + Err(LrmScaleError::NoNamedAnchor) |
| 92 | + } else { |
| 93 | + Ok(LrmScale { |
| 94 | + anchors: self.anchors, |
| 95 | + cummulated_distances: self.cummulative_distances, |
| 96 | + }) |
| 97 | + } |
| 98 | + } |
| 99 | +} |
| 100 | + |
| 101 | +/// A measure defines a location on the LRM scale |
| 102 | +/// It is given as an anchor name and an offset on that scale |
| 103 | +/// It is often represented as 12+100 to say “100 meters after the anchor 12” |
| 104 | +pub struct LrmMeasure { |
| 105 | + /// Name of the anchor. While it is often named after a kilometer position |
| 106 | + /// it can be anything (a letter, a landmark) and where it is named after a position, |
| 107 | + /// there is no guarantee that its value matches actual distance |
| 108 | + anchor_name: String, |
| 109 | + /// The offset from the anchor |
| 110 | + offset: f64, |
| 111 | +} |
| 112 | + |
| 113 | +/// Represents an a LRM Scale and allows to map [Measure] to a position along a curve |
| 114 | +#[derive(PartialEq, Debug)] |
| 115 | +pub struct LrmScale { |
| 116 | + // The anchors are milestones from which positions are measured |
| 117 | + anchors: Vec<Anchor>, |
| 118 | + // The distances between anchors |
| 119 | + // Implementation detail: the first distance is 0. |
| 120 | + // This allows to have two vectors of the same size and iterate by zipping them |
| 121 | + cummulated_distances: Vec<f64>, |
| 122 | +} |
| 123 | + |
| 124 | +impl LrmScale { |
| 125 | + /// Locates a point along a curve given an anchor and a offset |
| 126 | + /// The offset might be negative |
| 127 | + pub fn locate_point(&self, measure: LrmMeasure) -> Result<f64, LrmScaleError> { |
| 128 | + self.iter_named() |
| 129 | + .find(|(anchor_id, _distance)| anchor_id == &&measure.anchor_name) |
| 130 | + .map(|(_anchor_id, distance)| distance + measure.offset) |
| 131 | + .ok_or(LrmScaleError::UnknownAnchorName) |
| 132 | + } |
| 133 | + |
| 134 | + /// Returns a measure given a distance along the curve |
| 135 | + /// The corresponding anchor is the named anchor that gives the smallest positive offset |
| 136 | + /// If such an anchor does not exists, the first named anchor is used |
| 137 | + pub fn locate_anchor(&self, offset: f64) -> Result<LrmMeasure, LrmScaleError> { |
| 138 | + let smallest_measure = self |
| 139 | + .iter_named() |
| 140 | + .rev() |
| 141 | + .find(|(_anchor_id, distance)| distance < &&offset) |
| 142 | + .map(|(anchor_id, distance)| LrmMeasure { |
| 143 | + anchor_name: anchor_id.to_owned(), |
| 144 | + offset: offset - distance, |
| 145 | + }); |
| 146 | + |
| 147 | + // If we found a solution, let’s return it |
| 148 | + // Otherwise we use the first named anchor with a negative offset |
| 149 | + if let Some(measure) = smallest_measure { |
| 150 | + Ok(measure) |
| 151 | + } else { |
| 152 | + self.iter_named() |
| 153 | + .next() |
| 154 | + .map(|(anchor_id, distance)| LrmMeasure { |
| 155 | + anchor_name: anchor_id.to_owned(), |
| 156 | + offset: offset - distance, |
| 157 | + }) |
| 158 | + .ok_or(LrmScaleError::NoAnchorFound) |
| 159 | + } |
| 160 | + } |
| 161 | + |
| 162 | + // Private helper function that iterates only over named anchors names and their cummulated distances |
| 163 | + fn iter_named(&self) -> impl DoubleEndedIterator<Item = (&String, &f64)> { |
| 164 | + self.anchors |
| 165 | + .iter() |
| 166 | + .zip(self.cummulated_distances.iter()) |
| 167 | + .filter_map(|(anchor, distance)| anchor.id.as_ref().map(|id| (id, distance))) |
| 168 | + } |
| 169 | +} |
| 170 | + |
| 171 | +#[cfg(test)] |
| 172 | +mod tests { |
| 173 | + use super::*; |
| 174 | + fn scale() -> LrmScale { |
| 175 | + let mut b = ScaleBuilder::new(Anchor::new("a", 0.)); |
| 176 | + b.add(Anchor::new("b", 100.), 100.); |
| 177 | + b.build().unwrap() |
| 178 | + } |
| 179 | + |
| 180 | + #[test] |
| 181 | + fn builder() { |
| 182 | + // Everything as planed |
| 183 | + let scale = scale(); |
| 184 | + assert_eq!(scale.cummulated_distances, vec![0., 100.]); |
| 185 | + |
| 186 | + // Missing named anchor |
| 187 | + let b = ScaleBuilder::new(Anchor::new_unamed(0.)); |
| 188 | + let scale = b.build(); |
| 189 | + assert_eq!(scale, Err(LrmScaleError::NoNamedAnchor)); |
| 190 | + |
| 191 | + // Duplicated name |
| 192 | + let mut b = ScaleBuilder::new(Anchor::new("a", 0.)); |
| 193 | + b.add(Anchor::new("a", 100.), 100.); |
| 194 | + let scale = b.build(); |
| 195 | + assert_eq!( |
| 196 | + scale, |
| 197 | + Err(LrmScaleError::DuplicatedAnchorName("a".to_string())) |
| 198 | + ); |
| 199 | + } |
| 200 | + |
| 201 | + #[test] |
| 202 | + fn locate_point() { |
| 203 | + let scale = scale(); |
| 204 | + |
| 205 | + // Everything a usual |
| 206 | + let p = scale.locate_point(LrmMeasure { |
| 207 | + anchor_name: "b".to_string(), |
| 208 | + offset: 50., |
| 209 | + }); |
| 210 | + assert_eq!(p, Ok(150.)); |
| 211 | + |
| 212 | + // Negative offsets |
| 213 | + let p = scale.locate_point(LrmMeasure { |
| 214 | + anchor_name: "a".to_string(), |
| 215 | + offset: -50., |
| 216 | + }); |
| 217 | + assert_eq!(p, Ok(-50.)); |
| 218 | + |
| 219 | + // Unknown anchor |
| 220 | + let p = scale.locate_point(LrmMeasure { |
| 221 | + anchor_name: "c".to_string(), |
| 222 | + offset: 50., |
| 223 | + }); |
| 224 | + assert_eq!(p, Err(LrmScaleError::UnknownAnchorName)); |
| 225 | + } |
| 226 | + |
| 227 | + #[test] |
| 228 | + fn locate_anchor() { |
| 229 | + let scale = scale(); |
| 230 | + |
| 231 | + let anchor = scale.locate_anchor(150.).unwrap(); |
| 232 | + assert_eq!(anchor.anchor_name, "b"); |
| 233 | + assert_eq!(anchor.offset, 50.); |
| 234 | + |
| 235 | + let anchor = scale.locate_anchor(40.).unwrap(); |
| 236 | + assert_eq!(anchor.anchor_name, "a"); |
| 237 | + assert_eq!(anchor.offset, 40.); |
| 238 | + |
| 239 | + let anchor = scale.locate_anchor(-10.).unwrap(); |
| 240 | + assert_eq!(anchor.anchor_name, "a"); |
| 241 | + assert_eq!(anchor.offset, -10.); |
| 242 | + } |
| 243 | +} |
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