diff --git a/Cargo.lock b/Cargo.lock index 7085855..02a5951 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -1387,6 +1387,7 @@ dependencies = [ "paste", "pretty_assertions", "roxmltree", + "rust_decimal", "serde", "serde_json", "serde_repr", diff --git a/lib/Cargo.toml b/lib/Cargo.toml index cc6df98..134c749 100644 --- a/lib/Cargo.toml +++ b/lib/Cargo.toml @@ -12,6 +12,7 @@ serde = ["dep:serde", "dep:serde_repr", "g-code/serde"] [dependencies] g-code.workspace = true +rust_decimal = { version = "1", default-features = false } lyon_geom = "=1.0.6" euclid = "0.22" log.workspace = true diff --git a/lib/src/turtle/g_code.rs b/lib/src/turtle/g_code.rs index 36959de..81b3636 100644 --- a/lib/src/turtle/g_code.rs +++ b/lib/src/turtle/g_code.rs @@ -2,6 +2,7 @@ use std::{borrow::Cow, fmt::Debug}; use ::g_code::{command, emit::Token}; use lyon_geom::{CubicBezierSegment, Point, QuadraticBezierSegment, SvgArc}; +use rust_decimal::{Decimal, prelude::*}; use super::Turtle; use crate::{ @@ -19,20 +20,77 @@ pub struct GCodeTurtle<'input> { } impl<'input> GCodeTurtle<'input> { + /// Converts [`Self::tolerance`] to a [`Decimal`]. + fn tolerance_to_decimal(&self) -> Decimal { + Decimal::from_f64(self.tolerance) + .unwrap_or_default() + .normalize() + } + + /// Rounds `val` to the number of decimal places in [`Self::tolerance`]. + /// + /// i.e. 3 decimal places for 0.002 + fn round(&self, val: f64) -> f64 { + let places = self.tolerance_to_decimal().scale(); + Decimal::from_f64(val) + .unwrap_or_default() + .round_dp(places) + .to_f64() + .unwrap_or(val) + } + + /// Tolerance passed to [`lyon_geom`] calls for line segments. + /// + /// Reserves some headroom so that [`Self::round`] won't take + /// the measurement outside of the overall tolernace bounds. + /// + /// i.e. e.g. 0.002 & 3 dp returns 0.0015 so we have +/- 0.0005 + fn flattening_tolerance(&self) -> f64 { + let tolerance = self.tolerance_to_decimal(); + let rounding_epsilon = Decimal::new(5, tolerance.scale() + 1); + if rounding_epsilon < tolerance { + (tolerance - rounding_epsilon) + .to_f64() + .unwrap_or(self.tolerance) + } else { + self.tolerance + } + } + + /// Tolerance passed to [`lyon_geom`] calls when circular interpolation is used. + /// + /// For G2/G3 arcs, X, Y, and R are all rounded independently. + /// The worst-case combined error is: + /// - endpoint 2D: `rounding_epsilon * sqrt(2)` + /// - radius: `rounding_epsilon` + /// - total: `rounding_epsilon * (sqrt(2) + 1)` + fn arc_flattening_tolerance(&self) -> f64 { + let tolerance = self.tolerance_to_decimal(); + let rounding_epsilon = Decimal::new(5, tolerance.scale() + 1) + * Decimal::from_f64(std::f64::consts::SQRT_2 + 1.).unwrap(); + if rounding_epsilon < tolerance { + (tolerance - rounding_epsilon) + .to_f64() + .unwrap_or(self.tolerance) + } else { + self.tolerance + } + } + fn circular_interpolation(&self, svg_arc: SvgArc) -> Vec> { debug_assert!((svg_arc.radii.x.abs() - svg_arc.radii.y.abs()).abs() < f64::EPSILON); match (svg_arc.flags.large_arc, svg_arc.flags.sweep) { (false, true) => command!(CounterclockwiseCircularInterpolation { - X: svg_arc.to.x, - Y: svg_arc.to.y, - R: svg_arc.radii.x, + X: self.round(svg_arc.to.x), + Y: self.round(svg_arc.to.y), + R: self.round(svg_arc.radii.x), F: self.feedrate, }) .into_token_vec(), (false, false) => command!(ClockwiseCircularInterpolation { - X: svg_arc.to.x, - Y: svg_arc.to.y, - R: svg_arc.radii.x, + X: self.round(svg_arc.to.x), + Y: self.round(svg_arc.to.y), + R: self.round(svg_arc.radii.x), F: self.feedrate, }) .into_token_vec(), @@ -80,16 +138,21 @@ impl<'input> Turtle for GCodeTurtle<'input> { fn move_to(&mut self, to: Point) { self.tool_off(); - self.program - .append(&mut command!(RapidPositioning { X: to.x, Y: to.y }).into_token_vec()); + self.program.append( + &mut command!(RapidPositioning { + X: self.round(to.x), + Y: self.round(to.y), + }) + .into_token_vec(), + ); } fn line_to(&mut self, to: Point) { self.tool_on(); self.program.append( &mut command!(LinearInterpolation { - X: to.x, - Y: to.y, + X: self.round(to.x), + Y: self.round(to.y), F: self.feedrate, }) .into_token_vec(), @@ -109,7 +172,7 @@ impl<'input> Turtle for GCodeTurtle<'input> { .supported_functionality() .circular_interpolation { - FlattenWithArcs::flattened(&svg_arc, self.tolerance) + FlattenWithArcs::flattened(&svg_arc, self.arc_flattening_tolerance()) .into_iter() .for_each(|segment| match segment { ArcOrLineSegment::Arc(arc) => { @@ -122,7 +185,7 @@ impl<'input> Turtle for GCodeTurtle<'input> { } else { svg_arc .to_arc() - .flattened(self.tolerance) + .flattened(self.flattening_tolerance()) .for_each(|point| self.line_to(point)); }; } @@ -135,7 +198,7 @@ impl<'input> Turtle for GCodeTurtle<'input> { .supported_functionality() .circular_interpolation { - FlattenWithArcs::::flattened(&cbs, self.tolerance) + FlattenWithArcs::::flattened(&cbs, self.arc_flattening_tolerance()) .into_iter() .for_each(|segment| match segment { ArcOrLineSegment::Arc(arc) => { @@ 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