//! Parameter parsing, deterministic noise and path-mapping helpers. use serde_json::Value; use vectorcraft_geom::{Anchor, CubicBez, ParamCurve, PathData, Point, Rect, SubPath, Vec2}; /// Number param (also accepts numeric strings such as `"10 pt"`); non-finite → default. pub fn num(p: &Value, key: &str, default: f64) -> f64 { match p.get(key) { Some(Value::Number(n)) => n.as_f64(), Some(Value::String(s)) => { let t: String = s.trim().chars().take_while(|c| c.is_ascii_digit() || matches!(c, '.' | '-' | '+' | 'e' | 'E')).collect(); t.parse().ok() } Some(Value::Bool(b)) => Some(if *b { 1.0 } else { 0.0 }), _ => None, } .filter(|v| v.is_finite()) .unwrap_or(default) } pub fn flag(p: &Value, key: &str, default: bool) -> bool { match p.get(key) { Some(Value::Bool(b)) => *b, Some(Value::Number(n)) => n.as_f64().is_some_and(|v| v != 0.0), _ => default, } } pub fn text<'a>(p: &'a Value, key: &str, default: &'a str) -> &'a str { p.get(key).and_then(Value::as_str).unwrap_or(default) } pub fn join(p: &Value, key: &str) -> vectorcraft_pathops::Join { match text(p, key, "miter").to_ascii_lowercase().as_str() { "round" => vectorcraft_pathops::Join::Round, "bevel" => vectorcraft_pathops::Join::Bevel, _ => vectorcraft_pathops::Join::Miter, } } /// "smooth" (default) vs "corner" points. pub fn smooth_points(p: &Value) -> bool { !text(p, "points", "smooth").eq_ignore_ascii_case("corner") } /// Deterministic hash noise in [-1, 1] for (seed, a, b, c). pub fn noise(seed: u64, a: u64, b: u64, c: u64) -> f64 { let mut x = seed.wrapping_mul(0x9E37_79B9_7F4A_7C15) ^ a.wrapping_mul(0xBF58_476D_1CE4_E5B9) ^ b.wrapping_mul(0x94D0_49BB_1331_11EB) ^ c; // splitmix64 finaliser x = x.wrapping_add(0x9E37_79B9_7F4A_7C15); x = (x ^ (x >> 30)).wrapping_mul(0xBF58_476D_1CE4_E5B9); x = (x ^ (x >> 27)).wrapping_mul(0x94D0_49BB_1331_11EB); x ^= x >> 31; (x >> 11) as f64 / (1u64 << 53) as f64 * 2.0 - 1.0 } pub fn seed(p: &Value) -> u64 { num(p, "seed", 0.0).abs() as u64 } /// Mean side of a box (the reference for "relative" sizes). pub fn mean_size(b: Rect) -> f64 { (b.width().abs() + b.height().abs()) / 2.0 } /// Segment as a cubic; straight lines get handles at 1/3 and 2/3 so a non-linear map bends them. pub fn seg_cubic(sp: &SubPath, i: usize) -> CubicBez { let c = sp.segment(i); if sp.segment_is_line(i) { CubicBez::new(c.p0, c.p0.lerp(c.p3, 1.0 / 3.0), c.p0.lerp(c.p3, 2.0 / 3.0), c.p3) } else { c } } /// Non-linear path mapping (shared with live envelopes in `vectorcraft-doc`), and the split of /// segments into pieces within an anchor budget. pub use vectorcraft_doc::live::{fit_piece, map_nonlinear_within, pieces}; /// About how many lines the renderer flattens `path` into at 1 px/pt: one for a straight /// segment, and for a curve the count Wang's formula gives at vello's tolerance of 0.25 px, /// `sqrt(0.75 × d / 0.25)` for the largest second difference `d` of its control points. pub fn line_estimate(path: &PathData) -> usize { let curve = |c: CubicBez| { let d = (c.p0.to_vec2() - c.p1.to_vec2() * 2.0 + c.p2.to_vec2()).hypot().max((c.p1.to_vec2() - c.p2.to_vec2() * 2.0 + c.p3.to_vec2()).hypot()); // A NaN casts to 0 and an infinity to the largest count. ((3.0 * d).sqrt().ceil() as usize).max(1) }; path.subpaths .iter() .flat_map(|sp| (0..sp.segment_count()).map(move |i| if sp.segment_is_line(i) { 1 } else { curve(sp.segment(i)) })) .fold(0, usize::saturating_add) } /// Smooth subpath through `pts` (Catmull-Rom tangents, see [`turn_tangent`] for sharp turns). pub fn catmull_rom(pts: &[Point], closed: bool, tension: f64) -> SubPath { let n = pts.len(); if n < 3 { return SubPath::polyline(pts, closed); } let anchors = (0..n) .map(|i| { let prev = if i == 0 { if closed { pts[n - 1] } else { pts[0] } } else { pts[i - 1] }; let next = if i == n - 1 { if closed { pts[0] } else { pts[n - 1] } } else { pts[i + 1] }; let t: Vec2 = turn_tangent(prev, pts[i], next) * (tension / 6.0); Anchor::with_handles(pts[i], pts[i] - t, pts[i] + t) }) .collect(); SubPath::new(anchors, closed) } /// The Catmull-Rom tangent `next − prev` at `p`. Where the path turns back sharply, `next` /// nearly meets `prev` and that tangent shrinks to nothing: the anchor would be a cusp, which /// PDF viewers draw with a miter spike (#1643). So it is kept at least half as long as the /// longer chord, and there it follows the bisector of the two chords (the perpendicular of the /// incoming one when the path reverses exactly): the turn becomes a round hairpin. Turns of /// less than about 150° keep the plain Catmull-Rom tangent. fn turn_tangent(prev: Point, p: Point, next: Point) -> Vec2 { let t = next - prev; let (a, b) = (p - prev, next - p); let floor = 0.5 * a.hypot().max(b.hypot()); if t.hypot() >= floor { return t; } let unit = |v: Vec2| { let l = v.hypot(); if l > 1e-12 { v / l } else { Vec2::ZERO } }; let (u, v) = (unit(a), unit(b)); let mut d = unit(u + v); if d == Vec2::ZERO { d = Vec2::new(-u.y, u.x); } if d == Vec2::ZERO { t } else { d * floor } } /// Unit normal (left of travel direction in y-down coordinates) of cubic `c` at `t`. pub fn normal_at(c: &CubicBez, t: f64) -> Vec2 { let eps = 1e-4; let a = c.eval((t - eps).max(0.0)); let b = c.eval((t + eps).min(1.0)); let mut d = b - a; if d.hypot() < 1e-12 { d = c.p3 - c.p0; } let len = d.hypot(); if len < 1e-12 { Vec2::ZERO } else { Vec2::new(d.y / len, -d.x / len) } }