https://github.com/marcbone/s_curve
S-Curve trajectory generator written in rust
https://github.com/marcbone/s_curve
robotics robotics-algorithms s-curve scurve trajectory-generation
Last synced: about 2 months ago
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S-Curve trajectory generator written in rust
- Host: GitHub
- URL: https://github.com/marcbone/s_curve
- Owner: marcbone
- License: apache-2.0
- Created: 2020-10-07T13:03:12.000Z (over 4 years ago)
- Default Branch: main
- Last Pushed: 2023-08-08T13:02:17.000Z (over 1 year ago)
- Last Synced: 2025-03-16T06:41:10.471Z (about 2 months ago)
- Topics: robotics, robotics-algorithms, s-curve, scurve, trajectory-generation
- Language: Rust
- Homepage:
- Size: 23.4 KB
- Stars: 60
- Watchers: 6
- Forks: 11
- Open Issues: 6
-
Metadata Files:
- Readme: README.md
- Changelog: CHANGELOG.md
- License: LICENSE-APACHE
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README
[](https://crates.io/crates/s_curve)
[](https://github.com/marcbone/s_curve/actions)
[](https://crates.io/crates/s_curve)
[](https://crates.io/crates/s_curve)
[](https://docs.rs/s_curve)
[](https://codecov.io/gh/marcbone/s_curve)A library to compute S-Curve trajectories. It can be used to generate motion profiles for robotics.
## What is an S-Curve?
An S-Curve is a trajectory which is constrained to maximum jerk, acceleration and velocity.
An S-Curve consists of 7 phases:
* constant maximum jerk until the desired acceleration is reached
* constant maximum acceleration phase
* constant minimum jerk until the desired velocity is reached with an acceleration of zero
* constant velocity phase
* constant minimum jerk until the minimum acceleration is reached
* constant minimum acceleration phase
* constant maximum jerk until the acceleration is zero and the desired position and end velocity is reached
In the picture below you can see an S-Curve Profile which goes from Position 0 to position 10 within 5.5 seconds with a start and end velocity of 0
, a maximum jerk of 3, a maximum acceleration of 2 and a maximum velocity of 3.
[](http://i.imgur.com/BQPhS8n.png)
## Example
```rust
use s_curve::*;
let constraints = SCurveConstraints {
max_jerk: 3.,
max_acceleration: 2.0,
max_velocity: 3.};
let start_conditions = SCurveStartConditions {
q0: 0., // start position
q1: 10., // end position
v0: 0., // start velocity
v1: 0. // end velocity
};
let input = SCurveInput{constraints, start_conditions};
let (params,s_curve) = s_curve_generator( & input,Derivative::Velocity);
for i in 0..101 {
println!("{}", s_curve(i as f64 * params.time_intervals.total_duration() / 100.));
}
```
#### License
Copyright (c) 2020 Marco Boneberger
Licensed under either of [Apache License, Version 2.0](LICENSE-APACHE) or [MIT license](LICENSE-MIT) at your option.