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deckcraft/crates/geom/src/warp.rs
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Brandon Thomas b267a921cd Merge PR #519 from NikitkaRa: UI: WordArt adjust handles drag a text warp
# Conflicts:
#	crates/engine/src/tests.rs
#	crates/engine/src/tools.rs
#	crates/geom/src/warp.rs
2026-10-14 14:46:54 -04:00

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//! WordArt text warps (DrawingML `a:bodyPr/a:prstTxWarp`).
//!
//! A warp preset is a list of bands laid over the shape's text rectangle (insets are ignored).
//! Text lines are shared out over the bands in order (the first ⌈n/k⌉ lines to the first band
//! and so on). A band either
//! - stretches its lines between a top and a bottom guide ([`Band::Fill`]): the ink box of the
//! band's lines fills the band vertically (a band whose ink is shorter than the tallest band's
//! keeps the same scale, centred), and horizontally the text is scaled so that the
//! widest band is filled along the mean length of its guides (one scale for the whole text), or
//! - sets its lines at their natural size along one guide ([`Band::Follow`], arches and circles):
//! glyphs keep their size, are placed by arc length (aligned as in the paragraph, the whole
//! guide being the line's width: insets don't count) and stand on
//! the guide's left normal; lines further from the guide stack outwards. Lines that are longer
//! than the guide are shrunk to fit.
//!
//! Positions along a guide are by arc length; a fill band maps the same fraction of its top and
//! bottom guide's length and interpolates between them. The guide curves were derived from
//! observation: synthetic decks of `I` bars were drawn with PowerPoint and every curve fitted to
//! the measured bar ends (most fit within a point on a 420 × 200 pt box).
use kurbo::{Arc, BezPath, PathEl, Point, Rect, Vec2};
/// Flattening tolerance for guides, in points.
const TOL: f64 = 0.02;
/// A guide curve flattened to a polyline with cumulative arc lengths.
#[derive(Clone, Debug, Default)]
pub struct Guide {
pts: Vec<Point>,
cum: Vec<f64>,
closed: bool,
}
impl Guide {
fn from_points(raw: impl IntoIterator<Item = Point>, closed: bool) -> Guide {
let mut pts: Vec<Point> = Vec::new();
let mut cum: Vec<f64> = Vec::new();
for p in raw {
if !(p.x.is_finite() && p.y.is_finite()) {
continue;
}
match pts.last() {
Some(q) => {
let d = (p - *q).hypot();
if d > 1e-9 {
cum.push(cum.last().copied().unwrap_or(0.0) + d);
pts.push(p);
}
}
None => {
pts.push(p);
cum.push(0.0);
}
}
if pts.len() > 100_000 {
break;
}
}
Guide { pts, cum, closed }
}
/// A guide through `path` (any curves), flattened.
pub fn from_path(path: &BezPath, closed: bool) -> Guide {
let mut pts = Vec::new();
kurbo::flatten(path.iter(), TOL, |el| match el {
PathEl::MoveTo(p) | PathEl::LineTo(p) => pts.push(p),
_ => {}
});
Guide::from_points(pts, closed)
}
/// Total arc length.
pub fn length(&self) -> f64 {
self.cum.last().copied().unwrap_or(0.0)
}
/// Whether the guide is a closed loop (positions past its end wrap around).
pub fn is_closed(&self) -> bool {
self.closed
}
/// Point and unit tangent at arc length `s`. Open guides continue along their end tangents
/// past either end; closed guides wrap.
pub fn at(&self, s: f64) -> (Point, Vec2) {
let len = self.length();
let (Some(&first), Some(&last)) = (self.pts.first(), self.pts.last()) else {
return (Point::ZERO, Vec2::new(1.0, 0.0));
};
if self.pts.len() < 2 || len <= 1e-9 {
return (first, Vec2::new(1.0, 0.0));
}
let s = if s.is_finite() { s } else { 0.0 };
let s = if self.closed { s.rem_euclid(len) } else { s };
let seg = |i: usize| -> (Point, Point, f64) {
let a = self.pts.get(i).copied().unwrap_or(first);
let b = self.pts.get(i + 1).copied().unwrap_or(last);
(a, b, self.cum.get(i).copied().unwrap_or(0.0))
};
let n = self.pts.len();
let i = if s <= 0.0 {
0
} else if s >= len {
n - 2
} else {
self.cum.partition_point(|c| *c <= s).saturating_sub(1).min(n - 2)
};
let (a, b, c0) = seg(i);
let d = b - a;
let l = d.hypot();
let t = if l > 1e-12 { d / l } else { Vec2::new(1.0, 0.0) };
(a + t * (s - c0), t)
}
/// The parallel curve `d` points away on the left of the direction of travel (above a
/// guide running left to right).
pub fn offset(&self, d: f64) -> Guide {
let n = self.pts.len();
if n < 2 || !d.is_finite() || d == 0.0 {
return self.clone();
}
let unit = |i: usize| -> Vec2 {
let (a, b) = (self.pts.get(i).copied().unwrap_or(Point::ZERO), self.pts.get(i + 1).copied().unwrap_or(Point::ZERO));
let v = b - a;
let l = v.hypot();
if l > 1e-12 { v / l } else { Vec2::ZERO }
};
let pts = (0..n).map(|i| {
let before = if i > 0 {
unit(i - 1)
} else if self.closed {
unit(n - 2)
} else {
Vec2::ZERO
};
let after = if i + 1 < n {
unit(i)
} else if self.closed {
unit(0)
} else {
Vec2::ZERO
};
let t = before + after;
let l = t.hypot();
let t = if l > 1e-12 { t / l } else { Vec2::new(1.0, 0.0) };
self.pts.get(i).copied().unwrap_or(Point::ZERO) + Vec2::new(t.y, -t.x) * d
});
Guide::from_points(pts.collect::<Vec<_>>(), self.closed)
}
/// The point at fraction `t` of the length.
pub fn at_frac(&self, t: f64) -> Point {
self.at(t * self.length()).0
}
}
/// Which line of a follow band sits on its guide.
#[derive(Clone, Copy, Debug, PartialEq, Eq)]
pub enum LineAnchor {
/// The last line; earlier lines stack outwards (arch up, circle).
Last,
/// The first line; later lines stack below it (arch down).
First,
/// The middle of the band's lines.
Middle,
}
#[derive(Clone, Debug)]
pub enum Band {
/// Text stretched between two guides.
Fill { top: Guide, bottom: Guide },
/// Text at its natural size along a guide.
Follow { path: Guide, anchor: LineAnchor },
}
impl Band {
/// The length text is measured against: the mean of a fill band's guides.
pub fn length(&self) -> f64 {
match self {
Band::Fill { top, bottom } => (top.length() + bottom.length()) / 2.0,
Band::Follow { path, .. } => path.length(),
}
}
}
/// A resolved warp: its bands in shape-local points.
#[derive(Clone, Debug)]
pub struct Warp {
pub bands: Vec<Band>,
}
/// Presets whose text follows a guide at its natural size (no wrapping).
pub fn is_follow(name: &str) -> bool {
matches!(name, "textArchUp" | "textArchDown" | "textCircle" | "textButton")
}
/// Default adjust values of a warp preset (`adj`, or `adj1`, `adj2`); empty for unknown presets.
pub fn adjust_defaults(name: &str) -> &'static [f64] {
match name {
"textPlain" => &[50_000.0],
"textStop" => &[25_000.0],
"textTriangle" | "textTriangleInverted" => &[50_000.0],
"textChevron" => &[25_000.0],
"textChevronInverted" => &[75_000.0],
"textRingInside" | "textRingOutside" => &[60_000.0],
"textArchUp" | "textCircle" | "textButton" => &[10_800_000.0],
"textArchDown" => &[0.0],
"textArchUpPour" | "textCirclePour" | "textButtonPour" => &[10_800_000.0, 50_000.0],
"textArchDownPour" => &[0.0, 25_000.0],
"textCurveUp" | "textCurveDown" => &[45_977.0],
"textCanUp" => &[85_000.0],
"textCanDown" => &[14_286.0],
"textWave1" | "textWave2" => &[12_500.0, 0.0],
"textDoubleWave1" | "textWave4" => &[6_250.0, 0.0],
"textInflate" | "textDeflate" => &[18_750.0],
"textInflateBottom" => &[60_000.0],
"textDeflateBottom" | "textDeflateTop" => &[50_000.0],
"textInflateTop" => &[40_000.0],
"textDeflateInflate" => &[35_000.0],
"textDeflateInflateDeflate" => &[25_000.0],
"textFadeRight" | "textFadeLeft" | "textFadeUp" | "textFadeDown" => &[33_333.0],
"textSlantUp" => &[55_556.0],
"textSlantDown" => &[44_444.0],
"textCascadeUp" | "textCascadeDown" => &[44_444.0],
_ => &[],
}
}
/// Number of adjust values a warp preset takes.
pub fn adjust_count(name: &str) -> usize {
adjust_defaults(name).len()
}
/// Whether `name` is a warp preset DeckCraft draws.
pub fn is_supported(name: &str) -> bool {
!adjust_defaults(name).is_empty()
}
/// One DrawingML text-warp preset, in gallery order.
pub struct Preset {
/// `prstTxWarp` value, e.g. `textArchUp`.
pub id: &'static str,
/// Name shown on the Transform gallery tile.
pub label: &'static str,
}
/// The 40 presets DeckCraft draws, Follow Path first, then Warp.
pub const CATALOG: &[Preset] = &[
Preset { id: "textArchUp", label: "Arch Up" },
Preset { id: "textArchDown", label: "Arch Down" },
Preset { id: "textCircle", label: "Circle" },
Preset { id: "textButton", label: "Button" },
Preset { id: "textPlain", label: "Plain" },
Preset { id: "textStop", label: "Stop" },
Preset { id: "textTriangle", label: "Triangle" },
Preset { id: "textTriangleInverted", label: "Inverted Triangle" },
Preset { id: "textChevron", label: "Chevron" },
Preset { id: "textChevronInverted", label: "Inverted Chevron" },
Preset { id: "textRingInside", label: "Ring Inside" },
Preset { id: "textRingOutside", label: "Ring Outside" },
Preset { id: "textArchUpPour", label: "Arch Up Pour" },
Preset { id: "textArchDownPour", label: "Arch Down Pour" },
Preset { id: "textCirclePour", label: "Circle Pour" },
Preset { id: "textButtonPour", label: "Button Pour" },
Preset { id: "textCurveUp", label: "Curve Up" },
Preset { id: "textCurveDown", label: "Curve Down" },
Preset { id: "textCanUp", label: "Can Up" },
Preset { id: "textCanDown", label: "Can Down" },
Preset { id: "textWave1", label: "Wave 1" },
Preset { id: "textWave2", label: "Wave 2" },
Preset { id: "textDoubleWave1", label: "Double Wave 1" },
Preset { id: "textWave4", label: "Wave 4" },
Preset { id: "textInflate", label: "Inflate" },
Preset { id: "textDeflate", label: "Deflate" },
Preset { id: "textInflateBottom", label: "Inflate Bottom" },
Preset { id: "textDeflateBottom", label: "Deflate Bottom" },
Preset { id: "textInflateTop", label: "Inflate Top" },
Preset { id: "textDeflateTop", label: "Deflate Top" },
Preset { id: "textDeflateInflate", label: "Deflate Inflate" },
Preset { id: "textDeflateInflateDeflate", label: "Deflate Inflate Deflate" },
Preset { id: "textFadeRight", label: "Fade Right" },
Preset { id: "textFadeLeft", label: "Fade Left" },
Preset { id: "textFadeUp", label: "Fade Up" },
Preset { id: "textFadeDown", label: "Fade Down" },
Preset { id: "textSlantUp", label: "Slant Up" },
Preset { id: "textSlantDown", label: "Slant Down" },
Preset { id: "textCascadeUp", label: "Cascade Up" },
Preset { id: "textCascadeDown", label: "Cascade Down" },
];
/// A yellow adjust handle for one warp guide value. `pos` is in the same space as `rect`
/// (shape-local points). Dragging projects the pointer onto the handle's axis, or around the
/// text rectangle's centre for an angle.
#[derive(Clone, Copy, Debug, PartialEq)]
pub struct WarpHandle {
pub index: usize,
pub pos: Point,
kind: HandleKind,
}
#[derive(Clone, Copy, Debug, PartialEq)]
enum HandleKind {
/// `pos = origin + dir * raw`. `value_at` projects onto that line and clamps.
Line { origin: Point, dir: Vec2, min: f64, max: f64 },
/// Angle about `center` (y down, 0° at +x). `invert` is arch-down, whose guide angle is `180° − adj`.
Angle { center: Point, invert: bool },
}
impl WarpHandle {
/// The raw guide value (`adj` / `adjN`) for a pointer at `p`.
pub fn value_at(&self, p: Point) -> f64 {
match self.kind {
HandleKind::Line { origin, dir, min, max } => {
let l2 = dir.hypot2();
if l2 < 1e-18 || !(p.x.is_finite() && p.y.is_finite()) {
return min;
}
let v = (p - origin).dot(dir) / l2;
if !v.is_finite() {
return min;
}
let (lo, hi) = (min.min(max), max.max(min));
v.clamp(lo, hi).round()
}
HandleKind::Angle { center, invert } => {
let d = p - center;
if !(d.x.is_finite() && d.y.is_finite()) || d.hypot() < 1e-9 {
return 0.0;
}
let mut deg = d.y.atan2(d.x).to_degrees();
if invert {
deg = 180.0 - deg;
}
(deg.rem_euclid(360.0) * 60_000.0).round()
}
}
}
}
fn stored_raw(adj: &[f64], defaults: &[f64], i: usize) -> f64 {
adj.get(i).copied().filter(|v| v.is_finite()).or_else(|| defaults.get(i).copied()).unwrap_or(0.0)
}
fn unit(rect: Rect, u: f64, v: f64) -> Point {
Point::new(rect.x0 + u * rect.width(), rect.y0 + v * rect.height())
}
/// A fraction handle: unit position `(x, sign * frac)`, raw = frac × 100 000, clamped to `lo..=hi`.
fn frac_handle(rect: Rect, index: usize, x: f64, frac: f64, lo: f64, hi: f64, sign: f64) -> WarpHandle {
let frac = frac.clamp(lo, hi);
WarpHandle {
index,
pos: unit(rect, x, sign * frac),
kind: HandleKind::Line {
origin: unit(rect, x, 0.0),
dir: Vec2::new(0.0, sign * rect.height() / 100_000.0),
min: lo * 100_000.0,
max: hi * 100_000.0,
},
}
}
/// A fraction handle that slides horizontally: unit `(frac, y)`.
fn frac_x_handle(rect: Rect, index: usize, y: f64, frac: f64, lo: f64, hi: f64) -> WarpHandle {
let frac = frac.clamp(lo, hi);
WarpHandle {
index,
pos: unit(rect, frac, y),
kind: HandleKind::Line {
origin: unit(rect, 0.0, y),
dir: Vec2::new(rect.width() / 100_000.0, 0.0),
min: lo * 100_000.0,
max: hi * 100_000.0,
},
}
}
/// Angle handle, inset from the ellipse so it doesn't sit on a resize handle.
fn angle_handle(rect: Rect, index: usize, deg: f64, invert: bool) -> WarpHandle {
let geom = if invert { 180.0 - deg } else { deg };
let rad = geom.to_radians();
let c = rect.center();
WarpHandle {
index,
pos: Point::new(c.x + rect.width() * 0.36 * rad.cos(), c.y + rect.height() * 0.36 * rad.sin()),
kind: HandleKind::Angle { center: c, invert },
}
}
/// Inner-ellipse radius (pour presets): the handle sits on the downward point of that ellipse.
fn radius_handle(rect: Rect, r: f64) -> WarpHandle {
let r = r.clamp(0.0, 0.99);
WarpHandle {
index: 1,
pos: unit(rect, 0.5, 0.5 + 0.5 * r),
kind: HandleKind::Line { origin: unit(rect, 0.5, 0.5), dir: Vec2::new(0.0, 0.5 * rect.height() / 100_000.0), min: 0.0, max: 99_000.0 },
}
}
/// Wave phase: slides sideways around the middle of the lower half.
fn shift_handle(rect: Rect, s: f64) -> WarpHandle {
let s = s.clamp(-0.1, 0.1);
WarpHandle {
index: 1,
pos: unit(rect, 0.5 + s, 0.78),
kind: HandleKind::Line { origin: unit(rect, 0.5, 0.78), dir: Vec2::new(rect.width() / 100_000.0, 0.0), min: -10_000.0, max: 10_000.0 },
}
}
/// Yellow handles for warp `name` over text rectangle `rect`. Empty when `name` isn't a drawn
/// preset or `rect` isn't a usable box. Missing adjust values take the preset defaults.
pub fn handles(name: &str, adj: &[f64], rect: Rect) -> Vec<WarpHandle> {
if ![rect.x0, rect.y0, rect.x1, rect.y1].iter().all(|v| v.is_finite()) {
return Vec::new();
}
let rect = Rect::new(rect.x0.min(rect.x1), rect.y0.min(rect.y1), rect.x0.max(rect.x1), rect.y0.max(rect.y1));
if rect.width() < 1e-3 || rect.height() < 1e-3 {
return Vec::new();
}
let defaults = adjust_defaults(name);
if defaults.is_empty() {
return Vec::new();
}
let raw = |i| stored_raw(adj, defaults, i);
let frac = |i| raw(i) / 100_000.0;
let deg = |i| (raw(i) / 60_000.0).rem_euclid(360.0);
let y = |out: &mut Vec<WarpHandle>, x, lo, hi, sign| out.push(frac_handle(rect, 0, x, frac(0), lo, hi, sign));
let xh = |out: &mut Vec<WarpHandle>, yy, lo, hi| out.push(frac_x_handle(rect, 0, yy, frac(0), lo, hi));
let mut out = Vec::with_capacity(defaults.len());
match name {
"textPlain" => xh(&mut out, 0.28, 0.3, 0.7),
"textStop" => y(&mut out, 0.5, 0.14286, 0.5, 1.0),
"textTriangle" | "textTriangleInverted" => y(&mut out, 0.18, 0.0, 1.0, 1.0),
"textChevron" => y(&mut out, 0.18, 0.0, 0.5, 1.0),
"textChevronInverted" => y(&mut out, 0.18, 0.5, 1.0, 1.0),
"textFadeRight" => y(&mut out, 0.82, 0.0, 0.49999, 1.0),
"textFadeLeft" => y(&mut out, 0.18, 0.0, 0.49999, 1.0),
"textFadeUp" => xh(&mut out, 0.22, 0.0, 0.49999),
"textFadeDown" => xh(&mut out, 0.78, 0.0, 0.49999),
"textSlantUp" => y(&mut out, 0.18, 0.44444, 1.0, 1.0),
"textSlantDown" => y(&mut out, 0.18, 0.0, 0.55556, 1.0),
"textCascadeUp" => y(&mut out, 0.82, 0.0, 1.0, 1.0),
"textCascadeDown" => y(&mut out, 0.18, 0.0, 1.0, 1.0),
"textInflate" => y(&mut out, 0.62, 0.0, 0.2, -1.0),
"textDeflate" => y(&mut out, 0.62, 0.0, 0.375, 1.0),
"textInflateBottom" => y(&mut out, 0.62, 0.6, 1.0, 1.0),
"textDeflateBottom" => y(&mut out, 0.62, 0.0625, 1.0, 1.0),
"textInflateTop" => y(&mut out, 0.62, 0.0, 0.5, 1.0),
"textDeflateTop" => y(&mut out, 0.62, 0.0, 0.9375, 1.0),
"textDeflateInflate" => y(&mut out, 0.5, 0.05, 0.95, 1.0),
"textDeflateInflateDeflate" => y(&mut out, 0.5, 0.01, 1.0 / 3.0, 1.0),
"textCurveUp" | "textCurveDown" => y(&mut out, 0.18, 0.0, 0.56818, 1.0),
"textCanUp" => y(&mut out, 0.62, 0.5, 1.0, 1.0),
"textCanDown" => y(&mut out, 0.62, 0.0, 0.5, 1.0),
"textRingInside" | "textRingOutside" => y(&mut out, 0.5, 0.5, 0.99, 1.0),
"textArchUp" | "textCircle" | "textButton" => out.push(angle_handle(rect, 0, deg(0), false)),
"textArchDown" => out.push(angle_handle(rect, 0, deg(0), true)),
"textArchUpPour" | "textCirclePour" | "textButtonPour" => {
out.push(angle_handle(rect, 0, deg(0), false));
out.push(radius_handle(rect, frac(1)));
}
"textArchDownPour" => {
out.push(angle_handle(rect, 0, deg(0), true));
out.push(radius_handle(rect, frac(1)));
}
"textWave1" | "textWave2" => {
y(&mut out, 0.32, 0.0, 0.2, 1.0);
out.push(shift_handle(rect, frac(1)));
}
"textDoubleWave1" | "textWave4" => {
y(&mut out, 0.32, 0.0, 0.125, 1.0);
out.push(shift_handle(rect, frac(1)));
}
_ => return Vec::new(),
}
out
}
/// Segments of a guide in unit coordinates (x, y in 0..1 over the text rectangle).
#[derive(Clone, Copy, Debug)]
enum Seg {
M(f64, f64),
L(f64, f64),
Q(f64, f64, f64, f64),
C(f64, f64, f64, f64, f64, f64),
/// Elliptical arc: centre, radii, start and sweep in degrees (y down: positive = clockwise).
A(f64, f64, f64, f64, f64, f64),
}
enum Spec {
Fill(Vec<Seg>, Vec<Seg>),
Follow(Vec<Seg>, LineAnchor),
}
struct Adj<'a> {
raw: &'a [f64],
defaults: &'static [f64],
}
impl Adj<'_> {
fn raw(&self, i: usize) -> f64 {
self.raw.get(i).copied().filter(|v| v.is_finite()).or_else(|| self.defaults.get(i).copied()).unwrap_or(0.0)
}
/// Adjust `i` as a fraction (1/100 000), pinned to `lo..=hi` (fractions).
fn frac(&self, i: usize, lo: f64, hi: f64) -> f64 {
(self.raw(i) / 100_000.0).clamp(lo, hi)
}
/// Adjust `i` as an angle in degrees (1/60 000), in 0..360.
fn angle(&self, i: usize) -> f64 {
(self.raw(i) / 60_000.0).rem_euclid(360.0)
}
}
fn line(pts: &[(f64, f64)]) -> Vec<Seg> {
pts.iter().enumerate().map(|(i, &(x, y))| if i == 0 { Seg::M(x, y) } else { Seg::L(x, y) }).collect()
}
/// Quadratic from (0, y0) through control (0.5, c) to (1, y0).
fn quad(y0: f64, c: f64) -> Vec<Seg> {
vec![Seg::M(0.0, y0), Seg::Q(0.5, c, 1.0, y0)]
}
/// A sweep in (0, 360]: zero means a full turn.
fn turn(deg: f64) -> f64 {
let d = deg.rem_euclid(360.0);
if d < 1e-9 { 360.0 } else { d }
}
/// Arc of the ellipse inscribed in the rectangle, scaled by `s` about its centre.
fn ellipse(s: f64, start: f64, sweep: f64) -> Vec<Seg> {
vec![Seg::A(0.5, 0.5, 0.5 * s, 0.5 * s, start, sweep)]
}
/// The arch-up arc for adjust angle `a`: symmetric about the top (270°), clockwise.
fn arch_up(a: f64) -> (f64, f64) {
(a, turn(2.0 * (270.0 - a)))
}
/// The arch-down arc for adjust angle `a`: symmetric about the bottom (90°), counter-clockwise.
fn arch_down(a: f64) -> (f64, f64) {
(180.0 - a, -turn(180.0 - 2.0 * a))
}
/// The circle arc for adjust angle `a`: from `a` clockwise, symmetric about 0°.
fn circle(a: f64) -> (f64, f64) {
(a, turn(2.0 * (360.0 - a)))
}
/// One cubic wave period from x0 to x1 at height y: up first when `k` > 0 (y decreases).
fn wave(out: &mut Vec<Seg>, x0: f64, x1: f64, y: f64, k: f64) {
let l = x1 - x0;
out.push(Seg::C(x0 + l / 3.0, y - k, x0 + 2.0 * l / 3.0, y + k, x1, y));
}
/// Wave guides: `periods` cubic waves over the width, shifted apart by `shift` (fraction).
fn waves(a: f64, shift: f64, periods: usize, up_first: bool) -> Spec {
let d = 2.0 * shift;
let (top_x, bot_x) = if d >= 0.0 { ((0.0, 1.0 - d), (d, 1.0)) } else { ((-d, 1.0), (0.0, 1.0 + d)) };
let k = if up_first { a * 10.0 / 3.0 } else { -a * 10.0 / 3.0 };
let guide = |(x0, x1): (f64, f64), y: f64| {
let mut v = vec![Seg::M(x0, y)];
let n = periods.max(1) as f64;
for i in 0..periods.max(1) {
let f = i as f64;
wave(&mut v, x0 + (x1 - x0) * f / n, x0 + (x1 - x0) * (f + 1.0) / n, y, k);
}
v
};
Spec::Fill(guide(top_x, a), guide(bot_x, 1.0 - a))
}
fn spec(name: &str, a: &Adj) -> Option<Vec<Spec>> {
use Seg::*;
let fill = |t: Vec<Seg>, b: Vec<Seg>| vec![Spec::Fill(t, b)];
let top = || line(&[(0.0, 0.0), (1.0, 0.0)]);
let bottom = || line(&[(0.0, 1.0), (1.0, 1.0)]);
Some(match name {
"textPlain" => {
let d = 2.0 * (a.frac(0, 0.3, 0.7) - 0.5);
if d < 0.0 {
fill(line(&[(-d, 0.0), (1.0, 0.0)]), line(&[(0.0, 1.0), (1.0 + d, 1.0)]))
} else {
fill(line(&[(0.0, 0.0), (1.0 - d, 0.0)]), line(&[(d, 1.0), (1.0, 1.0)]))
}
}
"textStop" => {
let y = a.frac(0, 0.14286, 0.5);
let t = 1.0 / 3.0;
fill(line(&[(0.0, y), (t, 0.0), (1.0 - t, 0.0), (1.0, y)]), line(&[(0.0, 1.0 - y), (t, 1.0), (1.0 - t, 1.0), (1.0, 1.0 - y)]))
}
"textTriangle" => {
let y = a.frac(0, 0.0, 1.0);
fill(line(&[(0.0, y), (0.5, 0.0), (1.0, y)]), bottom())
}
"textTriangleInverted" => {
let y = a.frac(0, 0.0, 1.0);
fill(top(), line(&[(0.0, y), (0.5, 1.0), (1.0, y)]))
}
"textChevron" => {
let y = a.frac(0, 0.0, 0.5);
fill(line(&[(0.0, y), (0.5, 0.0), (1.0, y)]), line(&[(0.0, 1.0), (0.5, 1.0 - y), (1.0, 1.0)]))
}
"textChevronInverted" => {
let y = a.frac(0, 0.5, 1.0);
fill(line(&[(0.0, 0.0), (0.5, 1.0 - y), (1.0, 0.0)]), line(&[(0.0, y), (0.5, 1.0), (1.0, y)]))
}
"textFadeRight" => {
let y = a.frac(0, 0.0, 0.49999);
fill(line(&[(0.0, 0.0), (1.0, y)]), line(&[(0.0, 1.0), (1.0, 1.0 - y)]))
}
"textFadeLeft" => {
let y = a.frac(0, 0.0, 0.49999);
fill(line(&[(0.0, y), (1.0, 0.0)]), line(&[(0.0, 1.0 - y), (1.0, 1.0)]))
}
"textFadeUp" => {
let x = a.frac(0, 0.0, 0.49999);
fill(line(&[(x, 0.0), (1.0 - x, 0.0)]), bottom())
}
"textFadeDown" => {
let x = a.frac(0, 0.0, 0.49999);
fill(top(), line(&[(x, 1.0), (1.0 - x, 1.0)]))
}
"textSlantUp" => {
let y = a.frac(0, 0.44444, 1.0);
fill(line(&[(0.0, y), (1.0, 0.0)]), line(&[(0.0, 1.0), (1.0, 1.0 - y)]))
}
"textSlantDown" => {
let y = a.frac(0, 0.0, 0.55556);
fill(line(&[(0.0, 0.0), (1.0, 1.0 - y)]), line(&[(0.0, y), (1.0, 1.0)]))
}
"textCascadeUp" => {
let y = a.frac(0, 0.0, 1.0);
fill(line(&[(0.0, (1.0 - y) / 4.0), (1.0, 0.0)]), line(&[(0.0, 1.0), (1.0, y)]))
}
"textCascadeDown" => {
let y = a.frac(0, 0.0, 1.0);
fill(line(&[(0.0, 0.0), (1.0, (1.0 - y) / 4.0)]), line(&[(0.0, y), (1.0, 1.0)]))
}
"textInflate" => {
let y = a.frac(0, 0.0, 0.2);
fill(quad(y, -y), quad(1.0 - y, 1.0 + y))
}
"textDeflate" => {
let y = a.frac(0, 0.0, 0.375);
fill(quad(0.0, 2.0 * y), quad(1.0, 1.0 - 2.0 * y))
}
"textInflateBottom" => {
let y = a.frac(0, 0.6, 1.0);
fill(top(), quad(y, 1.0))
}
"textDeflateBottom" => {
let y = a.frac(0, 0.0625, 1.0);
fill(top(), quad(1.0, 2.0 * y - 1.0))
}
"textInflateTop" => {
let y = a.frac(0, 0.0, 0.5);
fill(quad(y, 0.0), bottom())
}
"textDeflateTop" => {
let y = a.frac(0, 0.0, 0.9375);
fill(quad(0.0, 2.0 * y), bottom())
}
"textDeflateInflate" => {
// The bands are split by a curve from mid-height up to `y`, with a gap of a tenth of
// a band's height.
let y = a.frac(0, 0.05, 0.95);
let g = 0.05;
vec![Spec::Fill(top(), quad(0.5 - g, 2.0 * y - 0.5 - g)), Spec::Fill(quad(0.5 + g, 2.0 * y - 0.5 + g), bottom())]
}
"textDeflateInflateDeflate" => {
let y = a.frac(0, 0.01, 1.0 / 3.0);
let g = 1.0 / 30.0;
let (t1, t2) = (1.0 / 3.0, 2.0 / 3.0);
let (c1, c2) = (2.0 * y - t1, 2.0 * (1.0 - y) - t2);
vec![
Spec::Fill(top(), quad(t1 - g, c1 - g)),
Spec::Fill(quad(t1 + g, c1 + g), quad(t2 - g, c2 - g)),
Spec::Fill(quad(t2 + g, c2 + g), bottom()),
]
}
"textCurveUp" | "textCurveDown" => {
let y = a.frac(0, 0.0, 0.56818);
let b = vec![M(0.0, 1.0 - 3.0 * y / 8.0), C(1.0 / 3.0, 1.0 + y / 8.0, 2.0 / 3.0, 1.0 + y / 8.0, 1.0, 1.0 - 3.0 * y / 8.0)];
let t = if name == "textCurveUp" {
vec![M(0.0, y), C(1.0 / 3.0, 1.25 * y, 2.0 / 3.0, 0.75 * y, 1.0, 0.0)]
} else {
vec![M(0.0, 0.0), C(1.0 / 3.0, 0.75 * y, 2.0 / 3.0, 1.25 * y, 1.0, y)]
};
fill(t, b)
}
"textCanUp" => {
let r = 1.0 - a.frac(0, 0.5, 1.0);
fill(vec![A(0.5, r, 0.5, r, 180.0, 180.0)], vec![A(0.5, 1.0, 0.5, r, 180.0, 180.0)])
}
"textCanDown" => {
let r = a.frac(0, 0.0, 0.5);
fill(vec![A(0.5, 0.0, 0.5, r, 180.0, -180.0)], vec![A(0.5, 1.0 - r, 0.5, r, 180.0, -180.0)])
}
"textRingInside" | "textRingOutside" => {
let h = a.frac(0, 0.5, 0.99);
let sweep = if name == "textRingInside" { 360.0 } else { -360.0 };
fill(vec![A(0.5, h / 2.0, 0.5, h / 2.0, 180.0, sweep)], vec![A(0.5, 1.0 - h / 2.0, 0.5, h / 2.0, 180.0, sweep)])
}
"textWave1" => vec![waves(a.frac(0, 0.0, 0.2), a.frac(1, -0.1, 0.1), 1, true)],
"textWave2" => vec![waves(a.frac(0, 0.0, 0.2), a.frac(1, -0.1, 0.1), 1, false)],
"textDoubleWave1" => vec![waves(a.frac(0, 0.0, 0.125), a.frac(1, -0.1, 0.1), 2, true)],
"textWave4" => vec![waves(a.frac(0, 0.0, 0.125), a.frac(1, -0.1, 0.1), 2, false)],
"textArchUp" => {
let (s, w) = arch_up(a.angle(0));
vec![Spec::Follow(ellipse(1.0, s, w), LineAnchor::Last)]
}
"textArchDown" => {
let (s, w) = arch_down(a.angle(0));
vec![Spec::Follow(ellipse(1.0, s, w), LineAnchor::First)]
}
"textCircle" => {
let (s, w) = circle(a.angle(0));
vec![Spec::Follow(ellipse(1.0, s, w), LineAnchor::Last)]
}
"textButton" => {
let t = a.angle(0);
let (s, w) = arch_up(t);
let half = 0.5 * t.to_radians().cos().abs();
vec![
Spec::Follow(ellipse(1.0, s, w), LineAnchor::Last),
Spec::Follow(line(&[(0.5 - half, 0.5), (0.5 + half, 0.5)]), LineAnchor::Middle),
Spec::Follow(ellipse(1.0, 360.0 - s, -w), LineAnchor::First),
]
}
"textArchUpPour" => {
let (s, w) = arch_up(a.angle(0));
let r = a.frac(1, 0.0, 0.99);
fill(ellipse(1.0, s, w), ellipse(r, s, w))
}
"textArchDownPour" => {
let (s, w) = arch_down(a.angle(0));
let r = a.frac(1, 0.0, 0.99);
fill(ellipse(r, s, w), ellipse(1.0, s, w))
}
"textCirclePour" => {
let (s, w) = circle(a.angle(0));
let r = a.frac(1, 0.0, 0.99);
fill(ellipse(1.0, s, w), ellipse(r, s, w))
}
"textButtonPour" => {
let (s, w) = arch_up(a.angle(0));
let r = a.frac(1, 0.0, 0.99);
// The middle band runs between chords of the inner ellipse halfway to its top and
// bottom.
let (dy, half) = (0.25 * r, 0.25 * r * 3f64.sqrt());
vec![
Spec::Fill(ellipse(1.0, s, w), ellipse(r, s, w)),
Spec::Fill(line(&[(0.5 - half, 0.5 - dy), (0.5 + half, 0.5 - dy)]), line(&[(0.5 - half, 0.5 + dy), (0.5 + half, 0.5 + dy)])),
Spec::Fill(ellipse(r, 360.0 - s, -w), ellipse(1.0, 360.0 - s, -w)),
]
}
_ => return None,
})
}
/// Build a guide from unit-space segments mapped onto `r`.
fn guide(segs: &[Seg], r: Rect) -> Guide {
let mut p = BezPath::new();
let mut started = false;
let mut closed = false;
for s in segs {
match *s {
Seg::M(x, y) => {
p.move_to((x, y));
started = true;
}
Seg::L(x, y) => {
if started {
p.line_to((x, y))
} else {
p.move_to((x, y))
}
started = true;
}
Seg::Q(cx, cy, x, y) => {
if started {
p.quad_to((cx, cy), (x, y));
}
}
Seg::C(x1, y1, x2, y2, x, y) => {
if started {
p.curve_to((x1, y1), (x2, y2), (x, y));
}
}
Seg::A(cx, cy, rx, ry, start, sweep) => {
let arc = Arc::new((cx, cy), (rx.max(0.0), ry.max(0.0)), start.to_radians(), sweep.to_radians(), 0.0);
let s0 = Point::new(cx + rx * start.to_radians().cos(), cy + ry * start.to_radians().sin());
if started {
p.line_to(s0);
} else {
p.move_to(s0);
}
started = true;
for el in arc.append_iter(1e-5) {
p.push(el);
}
closed = sweep.abs() >= 359.999;
}
}
}
let m = kurbo::Affine::new([r.width(), 0.0, 0.0, r.height(), r.x0, r.y0]);
p.apply_affine(m);
Guide::from_path(&p, closed)
}
/// The warp `name` with adjust values `adj` (raw guide values; missing ones take the defaults)
/// over text rectangle `rect`. `None` for unknown presets, `textNoShape` or a non-finite rect.
pub fn warp(name: &str, adj: &[f64], rect: Rect) -> Option<Warp> {
if ![rect.x0, rect.y0, rect.x1, rect.y1].iter().all(|v| v.is_finite()) {
return None;
}
let r = Rect::new(rect.x0.min(rect.x1), rect.y0.min(rect.y1), rect.x0.max(rect.x1), rect.y0.max(rect.y1));
let a = Adj { raw: adj, defaults: adjust_defaults(name) };
let specs = spec(name, &a)?;
let bands = specs
.into_iter()
.map(|s| match s {
Spec::Fill(t, b) => Band::Fill { top: guide(&t, r), bottom: guide(&b, r) },
Spec::Follow(p, anchor) => Band::Follow { path: guide(&p, r), anchor },
})
.collect();
Some(Warp { bands })
}
/// The band line `line` of `lines` goes to when there are `bands` bands: the first ⌈n/k⌉ lines
/// share the first band, and so on.
pub fn band_of_line(line: usize, lines: usize, bands: usize) -> usize {
if bands <= 1 || lines == 0 {
return 0;
}
// Band b holds lines ceil(b·n/k) .. ceil((b+1)·n/k).
(0..bands).rev().find(|&b| (b * lines).div_ceil(bands) <= line).unwrap_or(0)
}
/// One laid-out line as the warp sees it (layout coordinates, points).
#[derive(Clone, Copy, Debug)]
pub struct WarpLine {
/// Ink box of the line's glyphs; `None` for a line without ink.
pub ink: Option<Rect>,
/// Advance extent of the line (left, right).
pub extent: (f64, f64),
/// Reference height for follow bands: the y that sits on the guide.
pub ref_y: f64,
}
#[derive(Clone, Copy, Debug)]
enum LineMap {
Fill {
band: usize,
cx: f64,
k: f64,
len: f64,
y0: f64,
y1: f64,
},
/// `guide`: the line's own parallel guide in [`Mapper::offsets`], if it is off the band's.
Follow {
band: usize,
guide: Option<usize>,
e0: f64,
s0: f64,
k: f64,
ref_y: f64,
},
}
/// Maps points of laid-out lines onto a warp.
#[derive(Clone, Debug)]
pub struct Mapper<'a> {
warp: &'a Warp,
lines: Vec<LineMap>,
offsets: Vec<Guide>,
zoom: f64,
}
impl Warp {
/// Plan the mapping of `lines`, laid out in the inner text box `inner` (the line's place in
/// it gives its alignment along follow guides; the insets themselves don't shorten a guide).
pub fn mapper(&self, lines: &[WarpLine], inner: Rect) -> Mapper<'_> {
let nb = self.bands.len().max(1);
let n = lines.len();
let band_of: Vec<usize> = (0..n).map(|i| band_of_line(i, n, nb).min(nb - 1)).collect();
// Ink of the whole text, for the shared horizontal centre and scale of fill bands.
let ink_all = lines.iter().filter_map(|l| l.ink).reduce(|a, b| a.union(b));
let cx = ink_all.map(|r| r.center().x).unwrap_or(0.0);
let mut k_fill = f64::INFINITY;
let mut zoom: f64 = 1.0;
let mut band_y: Vec<Option<(f64, f64)>> = vec![None; nb];
for (i, l) in lines.iter().enumerate() {
let Some(r) = l.ink else { continue };
let b = band_of.get(i).copied().unwrap_or(0);
if let Some(slot) = band_y.get_mut(b) {
*slot = Some(match *slot {
Some((y0, y1)) => (y0.min(r.y0), y1.max(r.y1)),
None => (r.y0, r.y1),
});
}
}
// Every fill band maps a box as tall as the tallest band's ink, centred on its own ink, so
// a band with fewer lines keeps them at the same size, centred between its guides.
let tallest = band_y.iter().flatten().map(|(y0, y1)| y1 - y0).fold(0.0, f64::max);
let band_y: Vec<Option<(f64, f64)>> =
band_y.iter().map(|r| r.map(|(y0, y1)| ((y0 + y1 - tallest) / 2.0, (y0 + y1 + tallest) / 2.0))).collect();
for (b, band) in self.bands.iter().enumerate() {
if let Band::Fill { top, bottom } = band {
let half = lines
.iter()
.enumerate()
.filter(|(i, _)| band_of.get(*i) == Some(&b))
.filter_map(|(_, l)| l.ink)
.map(|r| (r.x0 - cx).abs().max((r.x1 - cx).abs()))
.fold(0.0, f64::max);
if half > 1e-9 {
k_fill = k_fill.min(band.length() / (2.0 * half));
}
if let Some(Some((y0, y1))) = band_y.get(b) {
let thick = [0.0, 0.25, 0.5, 0.75, 1.0].iter().map(|&u| (top.at_frac(u) - bottom.at_frac(u)).hypot()).fold(0.0, f64::max);
if y1 - y0 > 1e-9 {
zoom = zoom.max(thick / (y1 - y0));
}
}
}
}
if !k_fill.is_finite() {
k_fill = 1.0;
}
zoom = zoom.max(k_fill);
let mut maps = Vec::with_capacity(n);
let mut offsets = Vec::new();
for (i, l) in lines.iter().enumerate() {
let b = band_of.get(i).copied().unwrap_or(0);
let in_band = |j: &usize| band_of.get(*j) == Some(&b);
match self.bands.get(b) {
Some(Band::Fill { .. }) | None => {
let (y0, y1) = band_y.get(b).copied().flatten().unwrap_or((0.0, 1.0));
let len = self.bands.get(b).map(Band::length).unwrap_or(0.0);
maps.push(LineMap::Fill { band: b, cx, k: k_fill, len, y0, y1 });
}
Some(Band::Follow { path, anchor }) => {
let len = path.length();
let widest = (0..n).filter(in_band).filter_map(|j| lines.get(j)).map(|l| l.extent.1 - l.extent.0).fold(0.0, f64::max);
let k = if widest > len && widest > 1e-9 { len / widest } else { 1.0 };
let members: Vec<&WarpLine> = (0..n).filter(in_band).filter_map(|j| lines.get(j)).collect();
let ref_y = match anchor {
LineAnchor::Last => members.last().map(|l| l.ref_y),
LineAnchor::First => members.first().map(|l| l.ref_y),
LineAnchor::Middle => match (members.first(), members.last()) {
(Some(a), Some(z)) => Some((a.ref_y + z.ref_y) / 2.0),
_ => None,
},
}
.unwrap_or(l.ref_y);
// Lines off the guide run on a parallel curve at their natural length.
let d = (ref_y - l.ref_y) * k;
let (guide, len) = if d.abs() > 1e-6 && d.is_finite() && offsets.len() < 4096 {
let g = path.offset(d);
let len = g.length();
offsets.push(g);
(Some(offsets.len() - 1), len)
} else {
(None, len)
};
let (e0, e1) = l.extent;
let w = (e1 - e0).max(0.0) * k;
let (gl, gr) = ((e0 - inner.x0).max(0.0), (inner.x1 - e1).max(0.0));
let f = if gl + gr > 1e-9 { gl / (gl + gr) } else { 0.5 };
let s0 = f * (len - w);
maps.push(LineMap::Follow { band: b, guide, e0, s0, k, ref_y: l.ref_y });
}
}
}
Mapper { warp: self, lines: maps, offsets, zoom: if zoom.is_finite() { zoom.clamp(1.0, 1.0e4) } else { 1.0 } }
}
}
impl Mapper<'_> {
/// How much the warp magnifies text at most (for flattening tolerances), ≥ 1.
pub fn zoom(&self) -> f64 {
self.zoom
}
/// Map point `p` of line `line` (layout coordinates) onto the warp.
pub fn map(&self, line: usize, p: Point) -> Point {
let out = match self.lines.get(line) {
Some(&LineMap::Fill { band, cx, k, len, y0, y1 }) => {
let Some(Band::Fill { top, bottom }) = self.warp.bands.get(band) else { return p };
let u = if len > 1e-9 { 0.5 + (p.x - cx) * k / len } else { 0.5 };
let v = if y1 - y0 > 1e-9 { (p.y - y0) / (y1 - y0) } else { 0.5 };
let (t, b) = (top.at_frac(u), bottom.at_frac(u));
t.lerp(b, v)
}
Some(&LineMap::Follow { band, guide, e0, s0, k, ref_y }) => {
let path = match (guide.and_then(|g| self.offsets.get(g)), self.warp.bands.get(band)) {
(Some(g), _) => g,
(None, Some(Band::Follow { path, .. })) => path,
_ => return p,
};
let s = s0 + (p.x - e0) * k;
let d = (ref_y - p.y) * k;
let (q, t) = path.at(s);
q + Vec2::new(t.y, -t.x) * d
}
None => p,
};
if out.x.is_finite() && out.y.is_finite() { out } else { p }
}
}
#[cfg(test)]
mod tests;