Add Spline::sample_with_key and Spline::clamped_sample_with_key.
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@ -1,3 +1,12 @@
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# 2.1
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> Mon Sep 30th 2019
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- Add `Spline::sample_with_key` and `Spline::clamped_sample_with_key`. Those methods allow one to
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perform the regular `Spline::sample` and `Spline::clamped_sample` but also retreive the base
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key that was used to perform the interpolation. The key can be inspected to get the base time,
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interpolation, etc. The next key is also returned, if present.
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# 2.0.1
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> Tue Sep 24th 2019
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@ -1,6 +1,6 @@
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[package]
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name = "splines"
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version = "2.0.1"
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version = "2.1.0"
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license = "BSD-3-Clause"
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authors = ["Dimitri Sabadie <dimitri.sabadie@gmail.com>"]
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description = "Spline interpolation made easy"
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@ -69,7 +69,8 @@ impl<T, V> Spline<T, V> {
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self.0.is_empty()
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}
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/// Sample a spline at a given time.
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/// Sample a spline at a given time, returning the interpolated value along with its associated
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/// key.
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///
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/// The current implementation, based on immutability, cannot perform in constant time. This means
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/// that sampling’s processing complexity is currently *O(log n)*. It’s possible to achieve *O(1)*
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@ -84,7 +85,7 @@ impl<T, V> Spline<T, V> {
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/// you’re near the beginning of the spline or its end, ensure you have enough keys around to make
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/// the sampling.
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///
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pub fn sample(&self, t: T) -> Option<V>
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pub fn sample_with_key(&self, t: T) -> Option<(V, &Key<T, V>, Option<&Key<T, V>>)>
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where T: Additive + One + Trigo + Mul<T, Output = T> + Div<T, Output = T> + PartialOrd,
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V: Interpolate<T> {
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let keys = &self.0;
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@ -95,14 +96,17 @@ impl<T, V> Spline<T, V> {
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Interpolation::Step(threshold) => {
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let cp1 = &keys[i + 1];
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let nt = normalize_time(t, cp0, cp1);
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Some(if nt < threshold { cp0.value } else { cp1.value })
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let value = if nt < threshold { cp0.value } else { cp1.value };
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Some((value, cp0, Some(cp1)))
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}
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Interpolation::Linear => {
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let cp1 = &keys[i + 1];
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let nt = normalize_time(t, cp0, cp1);
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let value = Interpolate::lerp(cp0.value, cp1.value, nt);
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Some(Interpolate::lerp(cp0.value, cp1.value, nt))
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Some((value, cp0, Some(cp1)))
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}
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Interpolation::Cosine => {
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@ -110,8 +114,9 @@ impl<T, V> Spline<T, V> {
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let cp1 = &keys[i + 1];
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let nt = normalize_time(t, cp0, cp1);
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let cos_nt = (T::one() - (nt * T::pi()).cos()) / two_t;
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let value = Interpolate::lerp(cp0.value, cp1.value, cos_nt);
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Some(Interpolate::lerp(cp0.value, cp1.value, cos_nt))
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Some((value, cp0, Some(cp1)))
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}
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Interpolation::CatmullRom => {
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@ -124,8 +129,9 @@ impl<T, V> Spline<T, V> {
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let cpm0 = &keys[i - 1];
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let cpm1 = &keys[i + 2];
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let nt = normalize_time(t, cp0, cp1);
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let value = Interpolate::cubic_hermite((cpm0.value, cpm0.t), (cp0.value, cp0.t), (cp1.value, cp1.t), (cpm1.value, cpm1.t), nt);
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Some(Interpolate::cubic_hermite((cpm0.value, cpm0.t), (cp0.value, cp0.t), (cp1.value, cp1.t), (cpm1.value, cpm1.t), nt))
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Some((value, cp0, Some(cp1)))
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}
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}
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@ -134,18 +140,30 @@ impl<T, V> Spline<T, V> {
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let cp1 = &keys[i + 1];
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let nt = normalize_time(t, cp0, cp1);
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let value =
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if let Interpolation::Bezier(v) = cp1.interpolation {
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Some(Interpolate::cubic_bezier(cp0.value, u, v, cp1.value, nt))
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Interpolate::cubic_bezier(cp0.value, u, v, cp1.value, nt)
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} else {
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Some(Interpolate::quadratic_bezier(cp0.value, u, cp1.value, nt))
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}
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Interpolate::quadratic_bezier(cp0.value, u, cp1.value, nt)
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};
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Some((value, cp0, Some(cp1)))
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}
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Interpolation::__NonExhaustive => unreachable!(),
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}
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}
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/// Sample a spline at a given time with clamping.
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/// Sample a spline at a given time.
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///
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pub fn sample(&self, t: T) -> Option<V>
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where T: Additive + One + Trigo + Mul<T, Output = T> + Div<T, Output = T> + PartialOrd,
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V: Interpolate<T> {
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self.sample_with_key(t).map(|(v, _, _)| v)
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}
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/// Sample a spline at a given time with clamping, returning the interpolated value along with its
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/// associated key.
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///
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/// # Return
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///
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@ -155,22 +173,23 @@ impl<T, V> Spline<T, V> {
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/// # Error
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///
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/// This function returns [`None`] if you have no key.
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pub fn clamped_sample(&self, t: T) -> Option<V>
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pub fn clamped_sample_with_key(&self, t: T) -> Option<(V, &Key<T, V>, Option<&Key<T, V>>)>
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where T: Additive + One + Trigo + Mul<T, Output = T> + Div<T, Output = T> + PartialOrd,
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V: Interpolate<T> {
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if self.0.is_empty() {
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return None;
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}
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self.sample(t).or_else(move || {
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self.sample_with_key(t).or_else(move || {
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let first = self.0.first().unwrap();
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if t <= first.t {
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Some(first.value)
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let second = if self.0.len() >= 2 { Some(&self.0[1]) } else { None };
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Some((first.value, &first, second))
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} else {
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let last = self.0.last().unwrap();
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if t >= last.t {
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Some(last.value)
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Some((last.value, &last, None))
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} else {
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None
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}
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@ -178,6 +197,13 @@ impl<T, V> Spline<T, V> {
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})
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}
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/// Sample a spline at a given time with clamping.
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pub fn clamped_sample(&self, t: T) -> Option<V>
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where T: Additive + One + Trigo + Mul<T, Output = T> + Div<T, Output = T> + PartialOrd,
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V: Interpolate<T> {
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self.clamped_sample_with_key(t).map(|(v, _, _)| v)
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}
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/// Add a key into the spline.
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pub fn add(&mut self, key: Key<T, V>) where T: PartialOrd {
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self.0.push(key);
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@ -16,6 +16,8 @@ fn step_interpolation_f32() {
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assert_eq!(spline.sample(0.9), Some(10.));
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assert_eq!(spline.sample(1.), None);
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assert_eq!(spline.clamped_sample(1.), Some(10.));
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assert_eq!(spline.sample_with_key(0.2), Some((10., &start, Some(&end))));
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assert_eq!(spline.clamped_sample_with_key(1.), Some((10., &end, None)));
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}
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#[test]
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@ -31,6 +33,8 @@ fn step_interpolation_f64() {
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assert_eq!(spline.sample(0.9), Some(10.));
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assert_eq!(spline.sample(1.), None);
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assert_eq!(spline.clamped_sample(1.), Some(10.));
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assert_eq!(spline.sample_with_key(0.2), Some((10., &start, Some(&end))));
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assert_eq!(spline.clamped_sample_with_key(1.), Some((10., &end, None)));
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}
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#[test]
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