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Bezier-rs: Add lookup table function for subpath and make it support euclidean parameterization (#1082)

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* Add euclidean option for lut

* Add lut for subpath

* Fix rust formatting

* Fixed breakages caused by UI updates

* Code cleanup

* Make ProjectionOptions optional

---------

Co-authored-by: Rob Nadal <robnadal44@gmail.com>
Co-authored-by: Keavon Chambers <keavon@keavon.com>
This commit is contained in:
Linda Zheng
2023-03-27 21:05:00 -04:00
committed by Keavon Chambers
co-authored by Rob Nadal Keavon Chambers
parent d0ac86b713
commit 3733804d18
11 changed files with 99 additions and 37 deletions
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libraries/bezier-rs/src/bezier/lookup.rs
+23 -21
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@@ -1,4 +1,4 @@
use crate::utils::{f64_compare, TValue};
use crate::utils::{f64_compare, TValue, TValueType};
use super::*;
@@ -74,16 +74,19 @@ impl Bezier {
/// Return a selection of equidistant points on the bezier curve.
/// If no value is provided for `steps`, then the function will default `steps` to be 10.
/// <iframe frameBorder="0" width="100%" height="375px" src="https://graphite.rs/bezier-rs-demos#bezier/lookup-table/solo" title="Lookup-Table Demo"></iframe>
pub fn compute_lookup_table(&self, steps: Option<usize>) -> Vec<DVec2> {
let steps_unwrapped = steps.unwrap_or(DEFAULT_LUT_STEP_SIZE);
let ratio: f64 = 1. / (steps_unwrapped as f64);
let mut steps_array = Vec::with_capacity(steps_unwrapped + 1);
pub fn compute_lookup_table(&self, steps: Option<usize>, tvalue_type: Option<TValueType>) -> Vec<DVec2> {
let steps = steps.unwrap_or(DEFAULT_LUT_STEP_SIZE);
let tvalue_type = tvalue_type.unwrap_or(TValueType::Parametric);
for t in 0..steps_unwrapped + 1 {
steps_array.push(self.evaluate(TValue::Parametric(f64::from(t as i32) * ratio)))
}
steps_array
(0..=steps)
.map(|t| {
let tvalue = match tvalue_type {
TValueType::Parametric => TValue::Parametric(t as f64 / steps as f64),
TValueType::Euclidean => TValue::Euclidean(t as f64 / steps as f64),
};
self.evaluate(tvalue)
})
.collect()
}
/// Return an approximation of the length of the bezier curve.
@@ -97,7 +100,7 @@ impl Bezier {
// We will use an approximate approach where we split the curve into many subdivisions
// and calculate the euclidean distance between the two endpoints of the subdivision
let lookup_table = self.compute_lookup_table(Some(num_subdivisions.unwrap_or(DEFAULT_LENGTH_SUBDIVISIONS)));
let lookup_table = self.compute_lookup_table(Some(num_subdivisions.unwrap_or(DEFAULT_LENGTH_SUBDIVISIONS)), Some(TValueType::Parametric));
let mut approx_curve_length = 0.;
let mut previous_point = lookup_table[0];
// Calculate approximate distance between subdivision
@@ -114,9 +117,10 @@ impl Bezier {
}
/// Returns the parametric `t`-value that corresponds to the closest point on the curve to the provided point.
/// Uses a searching algorithm akin to binary search that can be customized using the [ProjectionOptions] structure.
/// Uses a searching algorithm akin to binary search that can be customized using the optional [ProjectionOptions] struct.
/// <iframe frameBorder="0" width="100%" height="325px" src="https://graphite.rs/bezier-rs-demos#bezier/project/solo" title="Project Demo"></iframe>
pub fn project(&self, point: DVec2, options: ProjectionOptions) -> f64 {
pub fn project(&self, point: DVec2, options: Option<ProjectionOptions>) -> f64 {
let options = options.unwrap_or_default();
let ProjectionOptions {
lut_size,
convergence_epsilon,
@@ -126,7 +130,7 @@ impl Bezier {
// TODO: Consider optimizations from precomputing useful values, or using the GPU
// First find the closest point from the results of a lookup table
let lut = self.compute_lookup_table(Some(lut_size));
let lut = self.compute_lookup_table(Some(lut_size), Some(TValueType::Parametric));
let (minimum_position, minimum_distance) = utils::get_closest_point_in_lut(&lut, point);
// Get the t values to the left and right of the closest result in the lookup table
@@ -228,11 +232,11 @@ mod tests {
#[test]
fn test_compute_lookup_table() {
let bezier1 = Bezier::from_quadratic_coordinates(10., 10., 30., 30., 50., 10.);
let lookup_table1 = bezier1.compute_lookup_table(Some(2));
let lookup_table1 = bezier1.compute_lookup_table(Some(2), Some(TValueType::Parametric));
assert_eq!(lookup_table1, vec![bezier1.start(), bezier1.evaluate(TValue::Parametric(0.5)), bezier1.end()]);
let bezier2 = Bezier::from_cubic_coordinates(10., 10., 30., 30., 70., 70., 90., 10.);
let lookup_table2 = bezier2.compute_lookup_table(Some(4));
let lookup_table2 = bezier2.compute_lookup_table(Some(4), Some(TValueType::Parametric));
assert_eq!(
lookup_table2,
vec![
@@ -264,13 +268,11 @@ mod tests {
#[test]
fn test_project() {
let project_options = ProjectionOptions::default();
let bezier1 = Bezier::from_cubic_coordinates(4., 4., 23., 45., 10., 30., 56., 90.);
assert_eq!(bezier1.project(DVec2::ZERO, project_options), 0.);
assert_eq!(bezier1.project(DVec2::new(100., 100.), project_options), 1.);
assert_eq!(bezier1.project(DVec2::ZERO, None), 0.);
assert_eq!(bezier1.project(DVec2::new(100., 100.), None), 1.);
let bezier2 = Bezier::from_quadratic_coordinates(0., 0., 0., 100., 100., 100.);
assert_eq!(bezier2.project(DVec2::new(100., 0.), project_options), 0.);
assert_eq!(bezier2.project(DVec2::new(100., 0.), None), 0.);
}
}