diff --git a/.github/workflows/lib.yml b/.github/workflows/lib.yml index 8772ef9..8123aa7 100644 --- a/.github/workflows/lib.yml +++ b/.github/workflows/lib.yml @@ -24,8 +24,6 @@ jobs: with: components: clippy - uses: Swatinem/rust-cache@v2 - - name: Install dependencies - run: sudo apt-get update && sudo apt-get install -y libcairo2-dev - name: Fmt run: cargo +nightly-${{ steps.stable-date.outputs.date }} fmt --check -p svg2gcode - name: Clippy @@ -48,8 +46,6 @@ jobs: with: toolchain: nightly components: llvm-tools-preview - - name: Install dependencies - run: sudo apt-get update && sudo apt-get install -y libcairo2-dev - run: cargo install grcov - run: cargo build -p svg2gcode env: diff --git a/Cargo.lock b/Cargo.lock index 02a5951..28eae46 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -94,12 +94,6 @@ dependencies = [ "serde", ] -[[package]] -name = "bitflags" -version = "2.11.0" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "843867be96c8daad0d758b57df9392b6d8d271134fce549de6ce169ff98a92af" - [[package]] name = "boolinator" version = "2.4.0" @@ -124,37 +118,6 @@ version = "1.11.1" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "1e748733b7cbc798e1434b6ac524f0c1ff2ab456fe201501e6497c8417a4fc33" -[[package]] -name = "cairo-rs" -version = "0.22.0" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "5cc8d9aa793480744cd9a0524fef1a2e197d9eaa0f739cde19d16aba530dcb95" -dependencies = [ - "bitflags", - "cairo-sys-rs", - "libc", -] - -[[package]] -name = "cairo-sys-rs" -version = "0.22.0" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "f8b4985713047f5faee02b8db6a6ef32bbb50269ff53c1aee716d1d195b76d54" -dependencies = [ - "libc", - "system-deps", -] - -[[package]] -name = "cfg-expr" -version = "0.20.6" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "78cef5b5a1a6827c7322ae2a636368a573006b27cfa76c7ebd53e834daeaab6a" -dependencies = [ - "smallvec", - "target-lexicon", -] - [[package]] name = "cfg-if" version = "1.0.4" @@ -1083,12 +1046,6 @@ dependencies = [ "thiserror", ] -[[package]] -name = "pkg-config" -version = "0.3.32" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "7edddbd0b52d732b21ad9a5fab5c704c14cd949e5e9a1ec5929a24fded1b904c" - [[package]] name = "portable-atomic" version = "1.13.1" @@ -1330,15 +1287,6 @@ dependencies = [ "syn 2.0.117", ] -[[package]] -name = "serde_spanned" -version = "1.0.4" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "f8bbf91e5a4d6315eee45e704372590b30e260ee83af6639d64557f51b067776" -dependencies = [ - "serde_core", -] - [[package]] name = "serde_urlencoded" version = "0.7.1" @@ -1379,7 +1327,6 @@ checksum = "7da8b5736845d9f2fcb837ea5d9e2628564b3b043a70948a3f0b778838c5fb4f" name = "svg2gcode" version = "0.3.4" dependencies = [ - "cairo-rs", "euclid", "g-code", "log", @@ -1469,25 +1416,6 @@ dependencies = [ "unicode-ident", ] -[[package]] -name = "system-deps" -version = "7.0.7" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "48c8f33736f986f16d69b6cb8b03f55ddcad5c41acc4ccc39dd88e84aa805e7f" -dependencies = [ - "cfg-expr", - "heck", - "pkg-config", - "toml", - "version-compare", -] - -[[package]] -name = "target-lexicon" -version = "0.13.3" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "df7f62577c25e07834649fc3b39fafdc597c0a3527dc1c60129201ccfcbaa50c" - [[package]] name = "termcolor" version = "1.4.1" @@ -1537,36 +1465,12 @@ dependencies = [ "tokio", ] -[[package]] -name = "toml" -version = "0.9.12+spec-1.1.0" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "cf92845e79fc2e2def6a5d828f0801e29a2f8acc037becc5ab08595c7d5e9863" -dependencies = [ - "indexmap", - "serde_core", - "serde_spanned", - "toml_datetime 0.7.5+spec-1.1.0", - "toml_parser", - "toml_writer", - "winnow 0.7.14", -] - [[package]] name = "toml_datetime" version = "0.6.11" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "22cddaf88f4fbc13c51aebbf5f8eceb5c7c5a9da2ac40a13519eb5b0a0e8f11c" -[[package]] -name = "toml_datetime" -version = "0.7.5+spec-1.1.0" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "92e1cfed4a3038bc5a127e35a2d360f145e1f4b971b551a2ba5fd7aedf7e1347" -dependencies = [ - "serde_core", -] - [[package]] name = "toml_edit" version = "0.19.15" @@ -1574,25 +1478,10 @@ source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "1b5bb770da30e5cbfde35a2d7b9b8a2c4b8ef89548a7a6aeab5c9a576e3e7421" dependencies = [ "indexmap", - "toml_datetime 0.6.11", - "winnow 0.5.40", + "toml_datetime", + "winnow", ] -[[package]] -name = "toml_parser" -version = "1.0.9+spec-1.1.0" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "702d4415e08923e7e1ef96cd5727c0dfed80b4d2fa25db9647fe5eb6f7c5a4c4" -dependencies = [ - "winnow 0.7.14", -] - -[[package]] -name = "toml_writer" -version = "1.0.6+spec-1.1.0" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "ab16f14aed21ee8bfd8ec22513f7287cd4a91aa92e44edfe2c17ddd004e92607" - [[package]] name = "tracing" version = "0.1.44" @@ -1658,12 +1547,6 @@ version = "0.2.2" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "06abde3611657adf66d383f00b093d7faecc7fa57071cce2578660c9f1010821" -[[package]] -name = "version-compare" -version = "0.2.1" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "03c2856837ef78f57382f06b2b8563a2f512f7185d732608fd9176cb3b8edf0e" - [[package]] name = "version_check" version = "0.9.5" @@ -1789,12 +1672,6 @@ dependencies = [ "memchr", ] -[[package]] -name = "winnow" -version = "0.7.14" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "5a5364e9d77fcdeeaa6062ced926ee3381faa2ee02d3eb83a5c27a8825540829" - [[package]] name = "yansi" version = "1.0.1" diff --git a/lib/Cargo.toml b/lib/Cargo.toml index 134c749..e182533 100644 --- a/lib/Cargo.toml +++ b/lib/Cargo.toml @@ -32,9 +32,5 @@ optional = true version = "0.1" [dev-dependencies] -cairo-rs = { version = "0.22", default-features = false, features = [ - "svg", - "v1_16", -] } serde_json.workspace = true pretty_assertions = "1.4.1" diff --git a/lib/src/arc.rs b/lib/src/arc.rs index 7bc9769..b12ff7b 100644 --- a/lib/src/arc.rs +++ b/lib/src/arc.rs @@ -1,6 +1,6 @@ use euclid::Angle; use lyon_geom::{ - ArcFlags, CubicBezierSegment, Line, LineSegment, Point, Scalar, SvgArc, Transform, Vector, + Arc, ArcFlags, CubicBezierSegment, Line, LineSegment, Point, Scalar, SvgArc, Transform, Vector, }; pub enum ArcOrLineSegment { @@ -8,39 +8,16 @@ pub enum ArcOrLineSegment { Line(LineSegment), } -/// Golden-section search for the maximum of a unimodal function f on [0, 1]. -/// Returns (t_max, f(t_max)). -/// -/// https://en.wikipedia.org/wiki/Golden-section_search -fn golden_section_max S>(f: F) -> (S, S) { - let tolerance = S::from(1E-5_f64).unwrap(); +/// Calcuates the distance from `p` to the nearest point on `arc`. +fn point_to_arc_dist(p: Point, arc: &Arc) -> S { + let t_raw = (p - arc.center).angle_from_x_axis().radians / arc.sweep_angle.radians + - arc.start_angle.radians / arc.sweep_angle.radians; + let full_rev = S::TWO * S::PI() / arc.sweep_angle.radians.abs(); + let calc_dist = |t: S| (arc.sample(t.clamp(S::ZERO, S::ONE)) - p).length(); - let inv_phi = (S::from(5.0_f64).unwrap().sqrt() - S::ONE) / S::TWO; - let mut x_1 = S::ZERO; - let mut x_4 = S::ONE; - let mut x_2 = x_4 - inv_phi * (x_4 - x_1); - let mut x_3 = x_1 + inv_phi * (x_4 - x_1); - let mut f_x_2 = f(x_2); - let mut f_x_3 = f(x_3); - - while x_4 - x_1 > tolerance { - if f_x_2 < f_x_3 { - x_1 = x_2; - x_2 = x_3; - f_x_2 = f_x_3; - x_3 = x_1 + inv_phi * (x_4 - x_1); - f_x_3 = f(x_3); - } else { - x_4 = x_3; - x_3 = x_2; - f_x_3 = f_x_2; - x_2 = x_4 - inv_phi * (x_4 - x_1); - f_x_2 = f(x_2); - } - } - - let t_max = (x_1 + x_4) / S::TWO; - (t_max, f(t_max)) + calc_dist(t_raw) + .min(calc_dist(t_raw + full_rev)) + .min(calc_dist(t_raw - full_rev)) } fn arc_from_endpoints_and_tangents( @@ -49,42 +26,22 @@ fn arc_from_endpoints_and_tangents( to: Point, to_tangent: Vector, ) -> Option> { - let from_to = (from - to).length(); - let incenter = { - let from_tangent = Line { - point: from, - vector: from_tangent, - }; - let to_tangent = Line { - point: to, - vector: to_tangent, - }; - - let intersection = from_tangent.intersection(&to_tangent)?; - let from_intersection = (from - intersection).length(); - let to_intersection = (to - intersection).length(); - - (((from * to_intersection).to_vector() - + (to * from_intersection).to_vector() - + (intersection * from_to).to_vector()) - / (from_intersection + to_intersection + from_to)) - .to_point() - }; - - let get_perpendicular_bisector = |a, b| { - let vector: Vector = a - b; - let perpendicular_vector = Vector::from([-vector.y, vector.x]).normalize(); - Line { - point: LineSegment { from: a, to: b }.sample(S::HALF), - vector: perpendicular_vector, - } - }; - - let from_incenter_bisector = get_perpendicular_bisector(from, incenter); - let to_incenter_bisector = get_perpendicular_bisector(to, incenter); - let center = from_incenter_bisector.intersection(&to_incenter_bisector)?; + // The arc center must be perpendicular to the tangent at each endpoint. + // Intersect the two normal lines to find it. + let perp = |v: Vector| Vector::from([-v.y, v.x]); + let center = Line { + point: from, + vector: perp(from_tangent), + } + .intersection(&Line { + point: to, + vector: perp(to_tangent), + })?; let radius = (from - center).length(); + if radius < S::EPSILON { + return None; + } // Use the 2D determinant + dot product to identify winding direction // See https://www.w3.org/TR/SVG/paths.html#PathDataEllipticalArcCommands for @@ -122,8 +79,6 @@ where { /// Implementation of [Modeling of Bézier Curves Using a Combination of Linear and Circular Arc Approximations](https://sci-hub.st/https://doi.org/10.1109/CGIV.2012.20) /// - /// There are some slight deviations like using monotonic ranges instead of bounding by inflection points. - /// /// Kaewsaiha, P., & Dejdumrong, N. (2012). Modeling of Bézier Curves Using a Combination of Linear and Circular Arc Approximations. 2012 Ninth International Conference on Computer Graphics, Imaging and Visualization. doi:10.1109/cgiv.2012.20 fn flattened(&self, tolerance: S) -> Vec> { if (self.to - self.from).square_length() < S::EPSILON { @@ -133,14 +88,23 @@ where } let mut acc = vec![]; - self.for_each_monotonic_range(&mut |range| { - let inner_bezier = self.split_range(range); + let mut splits = Vec::with_capacity(4); + splits.push(S::ZERO); + self.for_each_inflection_t(&mut |t| { + if t > S::ZERO { + splits.push(t); + } + }); + splits.push(S::ONE); + + for window in splits.windows(2) { + let inner_bezier = self.split_range(window[0]..window[1]); if (inner_bezier.to - inner_bezier.from).square_length() < S::EPSILON { - return; + continue; } else if inner_bezier.is_linear(tolerance) { acc.push(ArcOrLineSegment::Line(inner_bezier.baseline())); - return; + continue; } if let Some(svg_arc) = arc_from_endpoints_and_tangents( @@ -151,8 +115,12 @@ where ) .filter(|svg_arc| { let arc = svg_arc.to_arc(); - let (_, max_deviation) = - golden_section_max(|t| (arc.sample(t) - inner_bezier.sample(t)).length()); + let mut max_deviation = S::ZERO; + for i in 1..20 { + let t = S::from(i).unwrap() / S::from(20).unwrap(); + max_deviation = + max_deviation.max(point_to_arc_dist(inner_bezier.sample(t), &arc)); + } max_deviation < tolerance }) { acc.push(ArcOrLineSegment::Arc(svg_arc)); @@ -161,7 +129,7 @@ where acc.append(&mut FlattenWithArcs::flattened(&left, tolerance)); acc.append(&mut FlattenWithArcs::flattened(&right, tolerance)); } - }); + } acc } } @@ -191,8 +159,12 @@ where ) .filter(|approx_svg_arc| { let approx_arc = approx_svg_arc.to_arc(); - let (_, max_deviation) = - golden_section_max(|t| (approx_arc.sample(t) - self_arc.sample(t)).length()); + let mut max_deviation = S::ZERO; + for i in 1..20 { + let t = S::from(i).unwrap() / S::from(20).unwrap(); + max_deviation = + max_deviation.max(point_to_arc_dist(self_arc.sample(t), &approx_arc)); + } max_deviation < tolerance }) { vec![ArcOrLineSegment::Arc(svg_arc)] @@ -299,138 +271,88 @@ impl Transformed for SvgArc { #[cfg(test)] mod tests { - use std::path::PathBuf; - - use cairo::{Context, SvgSurface}; - use lyon_geom::{CubicBezierSegment, Point, Vector, point, vector}; - use svgtypes::PathParser; + use lyon_geom::{CubicBezierSegment, point}; use crate::arc::{ArcOrLineSegment, FlattenWithArcs}; - #[test] - #[ignore = "Creates an image file, will revise later"] - fn flatten_returns_expected_arcs() { - const PATH: &str = "M 8.0549,11.9023 - c - 0.13447,1.69916 8.85753,-5.917903 7.35159,-6.170957 - z"; - let mut surf = - SvgSurface::new(128., 128., Some(PathBuf::from("approx_circle.svg"))).unwrap(); - surf.set_document_unit(cairo::SvgUnit::Mm); - let ctx = Context::new(&surf).unwrap(); - ctx.set_line_width(0.2); - - let mut current_position = Point::zero(); - - let mut acc = 0; - - for path in PathParser::from(PATH) { - use svgtypes::PathSegment::*; - match path.unwrap() { - MoveTo { x, y, abs } => { - if abs { - ctx.move_to(x, y); - current_position = point(x, y); - } else { - ctx.rel_move_to(x, y); - current_position += vector(x, y); - } - } - LineTo { x, y, abs } => { - if abs { - ctx.line_to(x, y); - current_position = point(x, y); - } else { - ctx.rel_line_to(x, y); - current_position += vector(x, y); - } - } - ClosePath { .. } => ctx.close_path(), - CurveTo { - x1, - y1, - x2, - y2, - x, - y, - abs, - } => { - ctx.set_dash(&[], 0.); - match acc { - 0 => ctx.set_source_rgb(1., 0., 0.), - 1 => ctx.set_source_rgb(0., 1., 0.), - 2 => ctx.set_source_rgb(0., 0., 1.), - 3 => ctx.set_source_rgb(0., 0., 0.), - _ => unreachable!(), - } - let curve = CubicBezierSegment { - from: current_position, - ctrl1: (vector(x1, y1) - + if !abs { - current_position.to_vector() - } else { - Vector::zero() - }) - .to_point(), - ctrl2: (vector(x2, y2) - + if !abs { - current_position.to_vector() - } else { - Vector::zero() - }) - .to_point(), - to: (vector(x, y) - + if !abs { - current_position.to_vector() - } else { - Vector::zero() - }) - .to_point(), - }; - for segment in FlattenWithArcs::flattened(&curve, 0.02) { - match segment { - ArcOrLineSegment::Arc(svg_arc) => { - let arc = svg_arc.to_arc(); - if svg_arc.flags.sweep { - ctx.arc( - arc.center.x, - arc.center.y, - arc.radii.x, - arc.start_angle.radians, - (arc.start_angle + arc.sweep_angle).radians, - ) - } else { - ctx.arc_negative( - arc.center.x, - arc.center.y, - arc.radii.x, - arc.start_angle.radians, - (arc.start_angle + arc.sweep_angle).radians, - ) - } - } - ArcOrLineSegment::Line(line) => ctx.line_to(line.to.x, line.to.y), + /// Magic constant for cubic Bézier approximation of a quarter circle: 4(√2-1)/3 + const KAPPA: f64 = 4.0 * (std::f64::consts::SQRT_2 - 1.0) / 3.0; + + /// Approximate one-sided Hausdorff distance: for each of `samples` on the Bézier, + /// find the closest point on any flattened segment and return the maximum deviation. + fn approx_max_bezier_deviation( + curve: &CubicBezierSegment, + segments: &[ArcOrLineSegment], + samples: usize, + ) -> f64 { + (0..=samples) + .map(|i| { + let t = i as f64 / samples as f64; + let p = curve.sample(t); + segments + .iter() + .map(|seg| match seg { + ArcOrLineSegment::Arc(svg_arc) => { + let arc = svg_arc.to_arc(); + let q_angle = (p - arc.center).angle_from_x_axis().radians; + let start = arc.start_angle.radians; + let sweep = arc.sweep_angle.radians; + let t_raw = (q_angle - start) / sweep; + let full_rev = std::f64::consts::TAU / sweep.abs(); + // Try t_raw and ±one full revolution to handle angle wrapping + [t_raw, t_raw + full_rev, t_raw - full_rev] + .iter() + .map(|&t| arc.sample(t.clamp(0.0, 1.0))) + .map(|pt| (p - pt).length()) + .fold(f64::INFINITY, f64::min) } - } - - ctx.stroke().unwrap(); + ArcOrLineSegment::Line(line) => (line.closest_point(p) - p).length(), + }) + .fold(f64::INFINITY, f64::min) + }) + .fold(0.0_f64, f64::max) + } - current_position = curve.to; - ctx.set_dash(&[0.1], 0.); - ctx.move_to(curve.from.x, curve.from.y); - ctx.curve_to( - curve.ctrl1.x, - curve.ctrl1.y, - curve.ctrl2.x, - curve.ctrl2.y, - curve.to.x, - curve.to.y, - ); - ctx.stroke().unwrap(); - acc += 1; - } - other => unimplemented!("{:?}", other), - } + #[test] + fn flattened_arcs_within_hausdorff_tolerance() { + let curves: &[CubicBezierSegment] = &[ + // Quarter circle approximation + CubicBezierSegment { + from: point(1.0, 0.0), + ctrl1: point(1.0, KAPPA), + ctrl2: point(KAPPA, 1.0), + to: point(0.0, 1.0), + }, + // S-curve with inflection + CubicBezierSegment { + from: point(0.0, 0.0), + ctrl1: point(1.0, 0.0), + ctrl2: point(0.0, 1.0), + to: point(1.0, 1.0), + }, + // Highly asymmetric curve + CubicBezierSegment { + from: point(0.0, 0.0), + ctrl1: point(0.1, 1.0), + ctrl2: point(0.9, 1.0), + to: point(1.0, 0.0), + }, + // Near-straight curve + CubicBezierSegment { + from: point(0.0, 0.0), + ctrl1: point(0.33, 0.01), + ctrl2: point(0.66, 0.01), + to: point(1.0, 0.0), + }, + ]; + let tolerance = 0.002; + for (i, curve) in curves.iter().enumerate() { + let segments = FlattenWithArcs::flattened(curve, tolerance); + let dist = approx_max_bezier_deviation(curve, &segments, 1_000); + assert!( + dist < tolerance, + "curve {i}: Hausdorff distance {dist} exceeds tolerance {tolerance}" + ); } } } diff --git a/lib/tests/circular_interpolation.gcode b/lib/tests/circular_interpolation.gcode index 2bd7454..a5f1e6b 100644 --- a/lib/tests/circular_interpolation.gcode +++ b/lib/tests/circular_interpolation.gcode @@ -1,233 +1,81 @@ G21 G90;svg#svg8 > g#layer1 > path G0 X1 Y9 -G1 X1.108 Y8.888 F300 -G1 X1.215 Y8.769 F300 -G1 X1.321 Y8.644 F300 -G1 X1.424 Y8.514 F300 -G1 X1.524 Y8.379 F300 -G1 X1.619 Y8.24 F300 -G2 X1.794 Y7.956 R4.602 F300 -G2 X1.872 Y7.812 R4.042 F300 -G2 X1.942 Y7.668 R3.605 F300 -G2 X2.003 Y7.524 R3.153 F300 -G1 X2.031 Y7.453 F300 -G1 X2.055 Y7.382 F300 -G1 X2.078 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Y1.745 R2.184 F300 +G3 X6.54 Y1.811 R2.149 F300 +G3 X7 Y2 R1.703 F300 diff --git a/lib/tests/smooth_curves_circular_interpolation.gcode b/lib/tests/smooth_curves_circular_interpolation.gcode index a008904..509b37b 100644 --- a/lib/tests/smooth_curves_circular_interpolation.gcode +++ b/lib/tests/smooth_curves_circular_interpolation.gcode @@ -49,47 +49,39 @@ G1 X32.249 Y40.411 F300 G1 X32.325 Y40.59 F300 G1 X32.398 Y40.771 F300 G1 X32.468 Y40.953 F300 -G3 X32.717 Y41.699 R11.044 F300 -G3 X32.822 Y42.082 R10.888 F300 -G3 X32.914 Y42.471 R10.842 F300 +G1 X32.535 Y41.137 F300 +G1 X32.599 Y41.323 F300 +G1 X32.659 Y41.51 F300 +G1 X32.717 Y41.699 F300 +G3 X32.914 Y42.471 R10.865 F300 G3 X32.914 Y42.786 R0.627 F300 G3 X37.56 Y43.185 R12.52 F300 G3 X37.155 Y40.719 R7.938 F300 G3 X40.481 Y34.057 R8.326 F300 -G1 X40.612 Y33.961 F300 -G1 X40.746 Y33.868 F300 -G1 X40.882 Y33.777 F300 -G1 X41.02 Y33.689 F300 -G1 X41.161 Y33.603 F300 -G1 X41.303 Y33.52 F300 -G3 X41.595 Y33.362 R8.398 F300 -G3 X42.198 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a/lib/tests/smooth_curves_circular_interpolation_release.gcode b/lib/tests/smooth_curves_circular_interpolation_release.gcode index a008904..509b37b 100644 --- a/lib/tests/smooth_curves_circular_interpolation_release.gcode +++ b/lib/tests/smooth_curves_circular_interpolation_release.gcode @@ -49,47 +49,39 @@ G1 X32.249 Y40.411 F300 G1 X32.325 Y40.59 F300 G1 X32.398 Y40.771 F300 G1 X32.468 Y40.953 F300 -G3 X32.717 Y41.699 R11.044 F300 -G3 X32.822 Y42.082 R10.888 F300 -G3 X32.914 Y42.471 R10.842 F300 +G1 X32.535 Y41.137 F300 +G1 X32.599 Y41.323 F300 +G1 X32.659 Y41.51 F300 +G1 X32.717 Y41.699 F300 +G3 X32.914 Y42.471 R10.865 F300 G3 X32.914 Y42.786 R0.627 F300 G3 X37.56 Y43.185 R12.52 F300 G3 X37.155 Y40.719 R7.938 F300 G3 X40.481 Y34.057 R8.326 F300 -G1 X40.612 Y33.961 F300 -G1 X40.746 Y33.868 F300 -G1 X40.882 Y33.777 F300 -G1 X41.02 Y33.689 F300 -G1 X41.161 Y33.603 F300 -G1 X41.303 Y33.52 F300 -G3 X41.595 Y33.362 R8.398 F300 -G3 X42.198 Y33.078 R8.592 F300 -G3 X42.826 Y32.84 R8.723 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