From a1012c8cd67968a673353b8d62d39db711a2e7f2 Mon Sep 17 00:00:00 2001 From: Johannes Wolf <519002+johannes-wolf@users.noreply.github.com> Date: Mon, 15 Jan 2024 18:26:11 +0100 Subject: [PATCH] Path Decorations (#329) Adds some path replacing decorations: - Zig-zag (sawtooth and triangle waves) - Wave (wave drawn using a catmull curve) - Coil/Loops **TODOs** - [x] Add documentation - [x] Fix 3D paths (add an up-vector) --- CHANGES.md | 4 + gallery/karls-picture.typ | 4 +- manual.typ | 53 ++-- src/coordinate.typ | 52 ++-- src/drawable.typ | 1 + src/lib/decorations.typ | 404 +-------------------------- src/lib/decorations/brace.typ | 402 +++++++++++++++++++++++++++ src/lib/decorations/path.typ | 420 +++++++++++++++++++++++++++++ src/lib/plot/legend.typ | 2 +- src/mark.typ | 2 +- src/util.typ | 4 +- tests/anchor-on-path/ref.png | Bin 78270 -> 78266 bytes tests/anchor/copy-anchors/ref.png | Bin 11497 -> 11497 bytes tests/anchor/path-anchors/ref.png | Bin 310064 -> 310047 bytes tests/angle/ref.png | Bin 179084 -> 179083 bytes tests/angle/right-angle/ref.png | Bin 132812 -> 132807 bytes tests/arc/arc-through/ref.png | Bin 139220 -> 139217 bytes tests/arc/ref.png | Bin 242912 -> 242891 bytes tests/bezier/ref.png | Bin 5259 -> 5259 bytes tests/chart/piechart/ref.png | Bin 232779 -> 232779 bytes tests/circle-through/ref.png | Bin 10317 -> 10317 bytes tests/circle/ref.png | Bin 148647 -> 148588 bytes tests/content/intersection/ref.png | Bin 12901 -> 12901 bytes tests/content/ref.png | Bin 129750 -> 129746 bytes tests/content/transform/ref.png | Bin 35076 -> 35075 bytes tests/coordinate/lerp/ref.png | Bin 0 -> 206894 bytes tests/coordinate/lerp/test.typ | 85 ++++++ tests/decorations/path/ref.png | Bin 0 -> 497230 bytes tests/decorations/path/test.typ | 109 ++++++++ tests/gradient/ref.png | Bin 79971 -> 79971 bytes tests/group/nested-anchor/ref.png | Bin 25615 -> 25613 bytes tests/image/ref.png | Bin 22963 -> 22963 bytes tests/image/test.typ | 2 +- tests/intersection/ref.png | Bin 173712 -> 173706 bytes tests/line/element-element/ref.png | Bin 93202 -> 93198 bytes tests/plot/legend/ref.png | Bin 568488 -> 568488 bytes tests/plot/line/line-type/ref.png | Bin 64949 -> 64949 bytes tests/plot/line/mark/ref.png | Bin 61889 -> 61889 bytes tests/plot/test.typ | 2 +- tests/rect/ref.png | Bin 9896 -> 9896 bytes tests/rect/rounded/ref.png | Bin 141448 -> 141440 bytes tests/relative-no-update/ref.png | Bin 23752 -> 23746 bytes tests/rotation/ref.png | Bin 46349 -> 46349 bytes tests/set-get-ctx/ref.png | Bin 14012 -> 14009 bytes tests/translation/ref.png | Bin 30208 -> 30208 bytes tests/tree/test.typ | 2 +- tests/viewport/ref.png | Bin 75755 -> 75754 bytes 47 files changed, 1087 insertions(+), 461 deletions(-) create mode 100644 src/lib/decorations/brace.typ create mode 100644 src/lib/decorations/path.typ create mode 100644 tests/coordinate/lerp/ref.png create mode 100644 tests/coordinate/lerp/test.typ create mode 100644 tests/decorations/path/ref.png create mode 100644 tests/decorations/path/test.typ diff --git a/CHANGES.md b/CHANGES.md index 3b7edd7c..3965d28c 100644 --- a/CHANGES.md +++ b/CHANGES.md @@ -9,6 +9,7 @@ CeTZ 0.2.0 requires Typst 0.10.0 - **BREAKING** Removed the `shadow` function - **BREAKING** Changed the behaviour of `mark` - **BREAKING** Changed the behaviour of `translate` by changing the transformation order, changed arguments of `scale` and `translate` +- **BREAKING** LERP coordinates now use ratio instead of float for relative interpolation. - Content padding has been improved to be configurable per side - Groups support same padding options as content - Fixed mark offsetting @@ -40,6 +41,9 @@ CeTZ 0.2.0 requires Typst 0.10.0 - Added `piechart` for drawing pie- and donut charts - Added `boxwhisker` for drawing boxwhisker charts +### Decorations +- New path decorations `zigzag`, `wave` and `coil` + # 0.1.2 CeTZ requires Typst 0.8.0. diff --git a/gallery/karls-picture.typ b/gallery/karls-picture.typ index cbcae72d..80993875 100644 --- a/gallery/karls-picture.typ +++ b/gallery/karls-picture.typ @@ -47,9 +47,9 @@ set-style(stroke: (thickness: 1.2pt)) line((30deg, 1), ((), "|-", (0,0)), stroke: (paint: red), name: "sin") - content(("sin.start", .5, "sin.end"), text(red)[$ sin alpha $]) + content(("sin.start", 50%, "sin.end"), text(red)[$ sin alpha $]) line("sin.end", (0,0), stroke: (paint: blue), name: "cos") - content(("cos.start", .5, "cos.end"), text(blue)[$ cos alpha $], anchor: "north") + content(("cos.start", 50%, "cos.end"), text(blue)[$ cos alpha $], anchor: "north") line((1, 0), (1, calc.tan(30deg)), name: "tan", stroke: (paint: orange)) content("tan.end", $ text(#orange, tan alpha) = text(#red, sin alpha) / text(#blue, cos alpha) $, anchor: "west") }) diff --git a/manual.typ b/manual.typ index c559e945..95a3ec5d 100644 --- a/manual.typ +++ b/manual.typ @@ -105,7 +105,7 @@ Some elements support compass anchors. TODO for-each-anchor("group", n => { if n != "center" { content( - (rel: ("group.center", .75, "group." + n), + (rel: ("group.center", 75%, "group." + n), to: "group." + n), n) } else { content((rel: (0, .5), to: "group.center"), n) @@ -397,28 +397,25 @@ An angle can also be given for the general meaning: "First consider the line fro #def-arg("a", ``, [The coordinate to interpolate from.]) #def-arg("b", ``, [The coordinate to interpolate to.]) -#def-arg("number", [`` or ``], [ +#def-arg("number", [`` or ``], [ The factor to interpolate by or the distance away from `a` towards `b`. ]) #def-arg("angle", ``, default: 0deg, "") -#def-arg("abs", ``, default: false, [ - Interpret `number` as absolute distance, instead of a factor. -]) Can be used implicitly as an array in the form `(a, number, b)` or `(a, number, angle, b)`. ```example grid((0,0), (3,3), help-lines: true) -line((0,0), (2,2)) -for i in (0, 0.2, 0.5, 0.8, 1, 1.5) { /* Relative distance */ - content(((0,0), i, (2,2)), +line((0,0), (2,2), name: "a") +for i in (0%, 20%, 50%, 80%, 100%, 125%) { /* Relative distance */ + content(("a.start", i, "a.end"), box(fill: white, inset: 1pt, [#i])) } -line((1,0), (3,2)) +line((1,0), (3,2), name: "b") for i in (0, 0.5, 1, 2) { /* Absolute distance */ - content((a: (1,0), number: i, abs: true, b: (3,2)), + content(("b.start", i, "b.end"), box(fill: white, inset: 1pt, text(red, [#i]))) } ``` @@ -429,7 +426,7 @@ line((1,0), (3,2)) line((1,0), ((1, 0), 1, 10deg, (3,2))) fill(red) stroke(none) -circle(((1, 0), 0.5, 10deg, (3, 2)), radius: 2pt) +circle(((1, 0), 50%, 10deg, (3, 2)), radius: 2pt) ``` ```example @@ -454,7 +451,7 @@ fill(red) stroke(none) circle( ( // a - (((0, 0), 0.3, (3, 2))), + (((0, 0), .3, (3, 2))), 0.7, (3,0) ), @@ -785,9 +782,35 @@ The `angle` function of the angle module allows drawing angles with an optional == Decorations -Various pre-made shapes and lines. - -#doc-style.parse-show-module("/src/lib/decorations.typ") +Various pre-made shapes and path modifications. + +=== Braces +#doc-style.parse-show-module("/src/lib/decorations/brace.typ") + +=== Path Decorations +Path decorations are elements that accept a path as input and generate +one or more shapes that follow that path. + +All path decoration functions support the following style keys: +#def-arg("start", [`` or ``], default: 0%, + [Absolute or relative start of the decoration on the path.]) +#def-arg("stop", [`` or ``], default: 100%, + [Absolute or relative end of the decoration on the path.]) +#def-arg("rest", [``], default: "LINE", + [If set to `"LINE"`, generate lines between the paths start/end and + the decorations start/end if the path is _not closed_.]) +#def-arg("width", [``], default: 1, + [Width or thickness of the decoration.]) +#def-arg("segments", [``], default: 10, + [Number of repetitions/phases to generate. + This key is ignored if `segment-length` is set != `none`.]) +#def-arg("segment-length", [`none` or ``], default: none, + [Length of one repetition/phase of the decoration.]) +#def-arg("align", [`"START"`, `"MID"`, `"END"`], default: "START", + [Alignment of the decoration on the path _if `segment-length` is set_ and + the decoration does not fill up the full range between start and stop.]) + +#doc-style.parse-show-module("/src/lib/decorations/path.typ") ==== Styling diff --git a/src/coordinate.typ b/src/coordinate.typ index 502652d5..da14c517 100644 --- a/src/coordinate.typ +++ b/src/coordinate.typ @@ -185,32 +185,27 @@ } #let resolve-lerp(resolve, ctx, c) = { - // (a: , number: , - // abs?: , angle?: , b: ) - // (a, number, b) - // (a, number, angle, b) + // (a: , number: , + // angle?: , b: ) + // (a, , b) + // (a, , angle, b) - let (a, number, angle, b, abs) = if type(c) == array { + let (a, number, angle, b) = if type(c) == array { if c.len() == 3 { ( ..c.slice(0, 2), none, // angle c.last(), - false, ) } else { - ( - ..c, - false - ) + c } } else { ( c.a, c.number, c.at("angle", default: 0deg), - c.b, - c.at("abs", default: false), + c.b ) } @@ -228,34 +223,21 @@ ) } - if type(number) == length { - let dist = vector.dist(a, b) - number = if dist != 0 { - util.resolve-number(ctx, number) / dist - } else { - 0 - } - } + let ab = vector.sub(b, a) - if abs { - let dist = vector.dist(a, b) - number = if dist != 0 { - number / dist + let is-absolute = type(number) != ratio + let distance = if is-absolute { + let dist = vector.len(ab) + if dist != 0 { + util.resolve-number(ctx, number) / dist } else { 0 } + } else { + number / 100% } - return vector.add( - vector.scale( - a, - (1 - number) - ), - vector.scale( - b, - number - ) - ) + return vector.add(a, vector.scale(ab, distance)) } #let resolve-function(resolve, ctx, c) = { @@ -301,7 +283,7 @@ "polar" } else if len == 3 and c.at(1) in ("-|", "|-") { "perpendicular" - } else if len in (3, 4) and types.at(1) in ("integer", "float", "length") and (len == 3 or (len == 4 and types.at(2) == "angle")) { + } else if len in (3, 4) and types.at(1) in ("integer", "float", "length", "ratio") and (len == 3 or (len == 4 and types.at(2) == "angle")) { "lerp" } else if len >= 2 and types.first() == "function" { "function" diff --git a/src/drawable.typ b/src/drawable.typ index 195a7722..39ab1f31 100644 --- a/src/drawable.typ +++ b/src/drawable.typ @@ -94,6 +94,7 @@ ), stroke: stroke, fill: fill, + close: true, ) } diff --git a/src/lib/decorations.typ b/src/lib/decorations.typ index 3e1f3bf4..82a291c5 100644 --- a/src/lib/decorations.typ +++ b/src/lib/decorations.typ @@ -1,402 +1,2 @@ -#import "../vector.typ" -#import "../matrix.typ" -#import "../util.typ" -#import "../draw.typ": * -#import "../coordinate.typ" -#import "../styles.typ" - -// Rotates the vector 'ab' around 'a' and scales it to 'len', returns the absolute point 'c'. -#let _rotate-around(a, b, angle: 90deg, len: auto) = { - let rel = vector.sub(b, a) - let rotated = util.apply-transform(matrix.transform-rotate-z(angle), rel) - let scaled = if len == auto { - rotated - } else { - vector.scale(vector.norm(rotated), len) - } - return vector.add(a, scaled) -} - -#let brace-default-style = ( - amplitude: .5, - pointiness: 15deg, - outer-pointiness: 0deg, - content-offset: .3, - debug-text-size: 6pt, -) - -/// Draw a curly brace between two points. -/// -/// #example(``` -/// cetz.decorations.brace((0,1),(2,1)) -/// -/// cetz.decorations.brace((0,0),(2,0), -/// pointiness: 45deg, outer-pointiness: 45deg) -/// cetz.decorations.brace((0,-1),(2,-1), -/// pointiness: 90deg, outer-pointiness: 90deg) -/// ```) -/// -/// *Style Root:* `brace`. \ -/// *Style Keys:* -/// #show-parameter-block("amplitude", ("number"), [ -/// Sets the height of the brace, from its baseline to its middle tip.], default: .5) -/// #show-parameter-block("pointiness", ("ratio", "angle"), [ -/// How pointy the spike should be. #0deg or `0%` for maximum pointiness, #90deg or `100%` for minimum.], default: 15deg) -/// #show-parameter-block("outer-pointiness", ("ratio", "angle"), [ -/// How pointy the outer edges should be. #0deg or `0` for maximum pointiness (allowing for a smooth transition to a straight line), #90deg or `1` for minimum. Setting this to #auto will use the value set for `pointiness`.], default: 15deg) -/// #show-parameter-block("content-offset", ("number","length"), [ -/// Offset of the `"content"` anchor from the spike of the brace.], default: .3) -/// -/// *Anchors:* -/// / start: Where the brace starts, same as the `start` parameter. -/// / end: Where the brace end, same as the `end` parameter. -/// / spike: Point of the spike, halfway between `start` and `end` and shifted -/// by `amplitude` towards the pointing direction. -/// / content: Point to place content/text at, in front of the spike. -/// / center: Center of the enclosing rectangle. -/// -/// - start (coordinate): Start point -/// - end (coordinate): End point -/// - flip (bool): Flip the brace around -/// - name (string, none): Element name used for querying anchors -/// - ..style (style): Style key-value pairs -#let brace( - start, - end, - flip: false, - debug: false, - name: none, - ..style, -) = { - // Validate coordinates - let t = (start, end).map(coordinate.resolve-system) - - group(name: name, ctx => { - // Get styles and validate types and values - let style = styles.resolve(ctx.style, merge: style.named(), - root: "brace", base: brace-default-style) - - let amplitude = style.amplitude - assert( - type(amplitude) in (int, float), - message: "amplitude must be a number, got " + repr(amplitude), - ) - - let pointiness = style.pointiness - assert( - (type(pointiness) in (int, float) - and pointiness >= 0 and pointiness <= 1) - or (type(pointiness) == ratio - and pointiness >= 0% and pointiness <= 100%) - or (type(pointiness) == angle - and pointiness >= 0deg and pointiness <= 90deg), - message: "pointiness must be a factor between 0 and 1 or an angle between 0deg and 90deg, got " + repr(pointiness), - ) - let pointiness = if type(pointiness) == angle { pointiness } else { pointiness * 90deg } - - let outer-pointiness = style.outer-pointiness - assert( - outer-pointiness == auto - or (type(outer-pointiness) in (int, float) - and outer-pointiness >= 0 and outer-pointiness <= 1) - or (type(outer-pointiness) == ratio) - and outer-pointiness >= 0% and outer-pointiness <= 100% - or (type(outer-pointiness) == angle - and outer-pointiness >= 0deg and outer-pointiness <= 90deg), - message: "outer-pointiness must be a factor between 0 and 1 or an angle between 0deg and 90deg or auto, got " + repr(outer-pointiness), - ) - let outer-pointiness = if outer-pointiness == auto { - pointiness - } else if type(outer-pointiness) == angle { - outer-pointiness - } else { - outer-pointiness * 90deg - } - - let content-offset = style.content-offset - assert( - type(content-offset) in (int, float), - message: "content-offset must be a number, got " + repr(content-offset), - ) - - // we flip the brace by inverting the amplitude and pointiness values - if flip { - amplitude *= -1 - pointiness *= -1 - outer-pointiness *= -1 - } - - // 'abcd' is a rectangle with the base line 'ab' and the height 'amplitude' - let a = start - let b = end - let c = (_rotate-around.with(len: amplitude, angle: -90deg), b, a) - let d = (_rotate-around.with(len: amplitude, angle: +90deg), a, b) - if debug { - line(a, b, stroke: red) - line(b, c, stroke: blue) - line(c, d, stroke: olive) - line(d, a, stroke: yellow) - } - - // 'ef' is the perpendicular line in the center of that rectangle, with length 'amplitude' - let e = (a, .5, b) - let f = (c, .5, d) - if debug { - line(e, f, stroke: eastern) - } - - // 'g' and 'h' are the control points for the middle spike - let g = (_rotate-around.with(angle: -pointiness), f, e) - let h = (_rotate-around.with(angle: +pointiness), f, e) - if debug { - line(f, g, stroke: purple) - line(f, h, stroke: orange) - } - - // 'i' and 'j' are the control points for the outer ends - let i = (_rotate-around.with(angle: -outer-pointiness), a, d) - let j = (_rotate-around.with(angle: +outer-pointiness), b, c) - if debug { - line(a, i, stroke: purple) - line(b, j, stroke: orange) - } - - // 'k' is the point where the content should be placed. It is offset from the spike (point 'f') - // by 'content-offset' in the direction the spike is pointing - let k = ((a, b) => { - let rel = vector.sub(b, a) - let scaled = vector.scale(vector.norm(rel), vector.len(rel) + content-offset) - return vector.add(a, scaled) - }, e, f) - - let points = (a: a, b: b, c: c, d: d, e: e, f: f, g: g, h: h, i: i, j: j, k: k) - // combine the two bezier curves using 'merge-path' and apply styling - merge-path({ - bezier(a, f, i, g) - bezier(f, b, h, j) - }, ..style) - // define some named anchors - anchor("spike", f) - anchor("content", k) - anchor("start", a) - anchor("end", b) - anchor("center", (e, .5, f)) - // define anchors for all points - for (name, point) in points { - anchor(name, point) - } - - // label all points in debug mode - if debug { - for (name, point) in points { - content(point, box(fill: luma(240), inset: .5pt, text(style.debug-text-size, raw(name)))) - } - } - }) - // move to end point so the current position after this is the end position - move-to(end) -} - -#let flat-brace-default-style = ( - amplitude: .3, - aspect: 50%, - curves: (1, .5, .6, .15), - outer-curves: auto, - content-offset: .3, - debug-text-size: 6pt, -) - -/// Draw a flat curly brace between two points. -/// -/// #example(``` -/// cetz.decorations.flat-brace((0,1),(2,1)) -/// -/// cetz.decorations.flat-brace((0,0),(2,0), -/// curves: .2, -/// aspect: 25%) -/// cetz.decorations.flat-brace((0,-1),(2,-1), -/// outer-curves: 0, -/// aspect: 75%) -/// ```) -/// -/// This mimics the braces from TikZ's `decorations.pathreplacing` library#footnote[https://github.com/pgf-tikz/pgf/blob/6e5fd71581ab04351a89553a259b57988bc28140/tex/generic/pgf/libraries/decorations/pgflibrarydecorations.pathreplacing.code.tex#L136-L185]. -/// In contrast to @@brace(), these braces use straight line segments, resulting -/// in better looks for long braces with a small amplitude. -/// -/// *Style Root:* `flat-brace` \ -/// *Style Keys:* -/// #show-parameter-block("amplitude", ("number"), [ -/// Determines how much the brace rises above the base line.], default: .3) -/// #show-parameter-block("aspect", ("ratio"), [ -/// Determines the fraction of the total length where the spike will be placed.], default: 50%) -/// #show-parameter-block("curves", ("number"), [ -/// Curviness factor of the brace, a factor of 0 means no curves.], default: auto) -/// #show-parameter-block("outer-curves", ("auto", "number"), [ -/// Curviness factor of the outer curves of the brace. A factor of 0 means no curves.], default: auto) -/// -/// *Anchors:* -/// / start: Where the brace starts, same as the `start` parameter. -/// / end: Where the brace end, same as the `end` parameter. -/// / spike: Point of the spike's top. -/// / content: Point to place content/text at, in front of the spike. -/// / center: Center of the enclosing rectangle. -/// -/// - start (coordinate): Start point -/// - end (coordinate): End point -/// - flip (bool): Flip the brace around -/// - name (string, none): Element name for querying anchors -/// - ..style (style): Style key-value pairs -#let flat-brace( - start, - end, - flip: false, - debug: false, - name: none, - ..style, -) = { - // Validate coordinates - let t = (start, end).map(coordinate.resolve-system) - - group(name: name, ctx => { - // Get styles and validate their types and values - let style = styles.resolve(ctx.style, merge: style.named(), - root: "flat-brace", base: flat-brace-default-style) - - let amplitude = style.amplitude - assert( - type(amplitude) in (int, float), - message: "amplitude must be a number, got " + repr(amplitude), - ) - // we achieve flipping by inverting the amplitude - if flip { amplitude *= -1 } - - let aspect = style.aspect - assert( - (type(aspect) == ratio - and aspect >= 0% and aspect <= 100%) - or (type(aspect) in (int, float) - and aspect >= 0 and aspect <= 1), - message: "aspect must be a ratio between 0% and 100%, got " + repr(aspect), - ) - if type(aspect) == ratio { aspect /= 100% } - - let inner-curves = style.curves - assert( - type(inner-curves) in (int, float) - or type(inner-curves) == array - and inner-curves.all(v => type(v) in (int, float, type(auto))), - message: "curves must be a number, or an array of numbers or auto, got " + repr(inner-curves), - ) - if type(inner-curves) in (int, float) { inner-curves = (inner-curves,) } - while inner-curves.len() < flat-brace-default-style.curves.len() { - inner-curves.push(auto) - } - inner-curves = inner-curves.enumerate().map(((idx, v)) => if v == auto { - flat-brace-default-style.curves.at(idx) - } else { v }) - - let outer-curves = style.outer-curves - assert( - type(outer-curves) in (int, float, type(auto)) - or type(outer-curves) == array - and outer-curves.all(v => type(v) in (int, float, type(auto))), - message: "outer-curves must be auto, a number, or an array of numbers or auto, got " + repr(outer-curves), - ) - if outer-curves == auto { - outer-curves = inner-curves - } else { - if type(outer-curves) in (int, float) { outer-curves = (outer-curves,) } - while outer-curves.len() < inner-curves.len() { outer-curves.push(auto) } - outer-curves = outer-curves.enumerate() - .map(((idx, v)) => if v == auto { inner-curves.at(idx) } else { v }) - } - - let content-offset = style.content-offset - assert( - type(content-offset) in (int, float), - message: "content-offset must be a number, got " + repr(content-offset), - ) - - // all the following code assumes the brace to start at (0, 0), growing to the right, - // pointing upwards, so we set the origin and rotate the entire group accordingly - let (_, start, end) = coordinate.resolve(ctx, start, end) - set-origin(start) - rotate(vector.angle2(start, end) * -1) - - let length = vector.dist(start, end) - let middle = aspect * length - let horizon = amplitude / 2 - - let normal-outer = calc.abs(amplitude * outer-curves.at(0)) - let normal-inner = calc.abs(amplitude * inner-curves.at(0)) - let length-left = middle - let length-right = length - middle - - // width of left-outer, left-inner, right-inner, right-outer curve segments - let lo = if 2 * normal-outer > length-left { length-left / 2 } else { normal-outer } - let li = if 2 * normal-inner > length-left { length-left / 2 } else { normal-inner } - let ri = if 2 * normal-inner > length-right { length-right / 2 } else { normal-inner } - let ro = if 2 * normal-outer > length-right { length-right / 2 } else { normal-outer } - - // 'a' and 'b' are start and end - let a = ( 0, 0) - let b = (length, 0) - // 'c' is the spike's top - let c = (middle, amplitude) - // 'de' is the left line, 'fg' is the right line - let d = ( lo, horizon) - let e = (middle - li, horizon) - let f = (middle + ri, horizon) - let g = (length - ro, horizon) - // 'h' is where to place content, above the spike - let h = (middle, amplitude + content-offset) - - // list of all named points to show in debug mode - let points = (a: a, b: b, c: c, d: d, e: e, f: f, g: g, h: h) - - // bezier control points: in 'dlc' 'd' stands for the point 'd' where the control point is used, - // 'l' stands for left of spike, 'c' stands for control point - let dlc = ( (1 - outer-curves.at(1)) * lo, horizon) - let elc = (middle - (1 - inner-curves.at(1)) * li, horizon) - let frc = (middle + (1 - inner-curves.at(1)) * ri, horizon) - let grc = (length - (1 - outer-curves.at(1)) * ro, horizon) - let alc = ( outer-curves.at(3) * lo, outer-curves.at(2) / 2 * amplitude) - let clc = (middle - inner-curves.at(3) * li, (1 - inner-curves.at(2) / 2) * amplitude) - let crc = (middle + inner-curves.at(3) * ri, (1 - inner-curves.at(2) / 2) * amplitude) - let brc = (length - outer-curves.at(3) * ro, outer-curves.at(2) / 2 * amplitude) - - merge-path({ - bezier(a, d, alc, dlc) - bezier(e, c, elc, clc) - bezier(c, f, crc, frc) - bezier(g, b, grc, brc) - }) - // define some named anchors - anchor("spike", c) - anchor("content", h) - anchor("start", a) - anchor("end", b) - anchor("center", (d, .5, g)) - // define anchors for all points - for (name, point) in points { - anchor(name, point) - } - if debug { - // show bezier control points using colored lines - line(stroke: purple, a, alc) - line(stroke: blue, d, dlc) - line(stroke: olive, e, elc) - line(stroke: red, c, clc) - line(stroke: red, c, crc) - line(stroke: olive, f, frc) - line(stroke: blue, g, grc) - line(stroke: purple, b, brc) - // show all named points - for (name, point) in points { - content(point, box(fill: luma(240), inset: .5pt, text(style.debug-text-size, raw(name)))) - } - } - }) - // move to end point so the current position after this is the end position - move-to(end) -} +#import "decorations/brace.typ": brace, brace-default-style, flat-brace, flat-brace-default-style +#import "decorations/path.typ": zigzag, wave, coil diff --git a/src/lib/decorations/brace.typ b/src/lib/decorations/brace.typ new file mode 100644 index 00000000..cc3ad5fa --- /dev/null +++ b/src/lib/decorations/brace.typ @@ -0,0 +1,402 @@ +#import "/src/vector.typ" +#import "/src/matrix.typ" +#import "/src/util.typ" +#import "/src/draw.typ": * +#import "/src/coordinate.typ" +#import "/src/styles.typ" + +// Rotates the vector 'ab' around 'a' and scales it to 'len', returns the absolute point 'c'. +#let _rotate-around(a, b, angle: 90deg, len: auto) = { + let rel = vector.sub(b, a) + let rotated = util.apply-transform(matrix.transform-rotate-z(angle), rel) + let scaled = if len == auto { + rotated + } else { + vector.scale(vector.norm(rotated), len) + } + return vector.add(a, scaled) +} + +#let brace-default-style = ( + amplitude: .5, + pointiness: 15deg, + outer-pointiness: 0deg, + content-offset: .3, + debug-text-size: 6pt, +) + +/// Draw a curly brace between two points. +/// +/// #example(``` +/// cetz.decorations.brace((0,1),(2,1)) +/// +/// cetz.decorations.brace((0,0),(2,0), +/// pointiness: 45deg, outer-pointiness: 45deg) +/// cetz.decorations.brace((0,-1),(2,-1), +/// pointiness: 90deg, outer-pointiness: 90deg) +/// ```) +/// +/// *Style Root:* `brace`. \ +/// *Style Keys:* +/// #show-parameter-block("amplitude", ("number"), [ +/// Sets the height of the brace, from its baseline to its middle tip.], default: .5) +/// #show-parameter-block("pointiness", ("ratio", "angle"), [ +/// How pointy the spike should be. #0deg or `0%` for maximum pointiness, #90deg or `100%` for minimum.], default: 15deg) +/// #show-parameter-block("outer-pointiness", ("ratio", "angle"), [ +/// How pointy the outer edges should be. #0deg or `0` for maximum pointiness (allowing for a smooth transition to a straight line), #90deg or `1` for minimum. Setting this to #auto will use the value set for `pointiness`.], default: 15deg) +/// #show-parameter-block("content-offset", ("number","length"), [ +/// Offset of the `"content"` anchor from the spike of the brace.], default: .3) +/// +/// *Anchors:* +/// / start: Where the brace starts, same as the `start` parameter. +/// / end: Where the brace end, same as the `end` parameter. +/// / spike: Point of the spike, halfway between `start` and `end` and shifted +/// by `amplitude` towards the pointing direction. +/// / content: Point to place content/text at, in front of the spike. +/// / center: Center of the enclosing rectangle. +/// +/// - start (coordinate): Start point +/// - end (coordinate): End point +/// - flip (bool): Flip the brace around +/// - name (string, none): Element name used for querying anchors +/// - ..style (style): Style key-value pairs +#let brace( + start, + end, + flip: false, + debug: false, + name: none, + ..style, +) = { + // Validate coordinates + let t = (start, end).map(coordinate.resolve-system) + + group(name: name, ctx => { + // Get styles and validate types and values + let style = styles.resolve(ctx.style, merge: style.named(), + root: "brace", base: brace-default-style) + + let amplitude = style.amplitude + assert( + type(amplitude) in (int, float), + message: "amplitude must be a number, got " + repr(amplitude), + ) + + let pointiness = style.pointiness + assert( + (type(pointiness) in (int, float) + and pointiness >= 0 and pointiness <= 1) + or (type(pointiness) == ratio + and pointiness >= 0% and pointiness <= 100%) + or (type(pointiness) == angle + and pointiness >= 0deg and pointiness <= 90deg), + message: "pointiness must be a factor between 0 and 1 or an angle between 0deg and 90deg, got " + repr(pointiness), + ) + let pointiness = if type(pointiness) == angle { pointiness } else { pointiness * 90deg } + + let outer-pointiness = style.outer-pointiness + assert( + outer-pointiness == auto + or (type(outer-pointiness) in (int, float) + and outer-pointiness >= 0 and outer-pointiness <= 1) + or (type(outer-pointiness) == ratio) + and outer-pointiness >= 0% and outer-pointiness <= 100% + or (type(outer-pointiness) == angle + and outer-pointiness >= 0deg and outer-pointiness <= 90deg), + message: "outer-pointiness must be a factor between 0 and 1 or an angle between 0deg and 90deg or auto, got " + repr(outer-pointiness), + ) + let outer-pointiness = if outer-pointiness == auto { + pointiness + } else if type(outer-pointiness) == angle { + outer-pointiness + } else { + outer-pointiness * 90deg + } + + let content-offset = style.content-offset + assert( + type(content-offset) in (int, float), + message: "content-offset must be a number, got " + repr(content-offset), + ) + + // we flip the brace by inverting the amplitude and pointiness values + if flip { + amplitude *= -1 + pointiness *= -1 + outer-pointiness *= -1 + } + + // 'abcd' is a rectangle with the base line 'ab' and the height 'amplitude' + let a = start + let b = end + let c = (_rotate-around.with(len: amplitude, angle: -90deg), b, a) + let d = (_rotate-around.with(len: amplitude, angle: +90deg), a, b) + if debug { + line(a, b, stroke: red) + line(b, c, stroke: blue) + line(c, d, stroke: olive) + line(d, a, stroke: yellow) + } + + // 'ef' is the perpendicular line in the center of that rectangle, with length 'amplitude' + let e = (a, 50%, b) + let f = (c, 50%, d) + if debug { + line(e, f, stroke: eastern) + } + + // 'g' and 'h' are the control points for the middle spike + let g = (_rotate-around.with(angle: -pointiness), f, e) + let h = (_rotate-around.with(angle: +pointiness), f, e) + if debug { + line(f, g, stroke: purple) + line(f, h, stroke: orange) + } + + // 'i' and 'j' are the control points for the outer ends + let i = (_rotate-around.with(angle: -outer-pointiness), a, d) + let j = (_rotate-around.with(angle: +outer-pointiness), b, c) + if debug { + line(a, i, stroke: purple) + line(b, j, stroke: orange) + } + + // 'k' is the point where the content should be placed. It is offset from the spike (point 'f') + // by 'content-offset' in the direction the spike is pointing + let k = ((a, b) => { + let rel = vector.sub(b, a) + let scaled = vector.scale(vector.norm(rel), vector.len(rel) + content-offset) + return vector.add(a, scaled) + }, e, f) + + let points = (a: a, b: b, c: c, d: d, e: e, f: f, g: g, h: h, i: i, j: j, k: k) + // combine the two bezier curves using 'merge-path' and apply styling + merge-path({ + bezier(a, f, i, g) + bezier(f, b, h, j) + }, ..style) + // define some named anchors + anchor("spike", f) + anchor("content", k) + anchor("start", a) + anchor("end", b) + anchor("center", (e, 50%, f)) + // define anchors for all points + for (name, point) in points { + anchor(name, point) + } + + // label all points in debug mode + if debug { + for (name, point) in points { + content(point, box(fill: luma(240), inset: .5pt, text(style.debug-text-size, raw(name)))) + } + } + }) + // move to end point so the current position after this is the end position + move-to(end) +} + +#let flat-brace-default-style = ( + amplitude: .3, + aspect: 50%, + curves: (1, .5, .6, .15), + outer-curves: auto, + content-offset: .3, + debug-text-size: 6pt, +) + +/// Draw a flat curly brace between two points. +/// +/// #example(``` +/// cetz.decorations.flat-brace((0,1),(2,1)) +/// +/// cetz.decorations.flat-brace((0,0),(2,0), +/// curves: .2, +/// aspect: 25%) +/// cetz.decorations.flat-brace((0,-1),(2,-1), +/// outer-curves: 0, +/// aspect: 75%) +/// ```) +/// +/// This mimics the braces from TikZ's `decorations.pathreplacing` library#footnote[https://github.com/pgf-tikz/pgf/blob/6e5fd71581ab04351a89553a259b57988bc28140/tex/generic/pgf/libraries/decorations/pgflibrarydecorations.pathreplacing.code.tex#L136-L185]. +/// In contrast to @@brace(), these braces use straight line segments, resulting +/// in better looks for long braces with a small amplitude. +/// +/// *Style Root:* `flat-brace` \ +/// *Style Keys:* +/// #show-parameter-block("amplitude", ("number"), [ +/// Determines how much the brace rises above the base line.], default: .3) +/// #show-parameter-block("aspect", ("ratio"), [ +/// Determines the fraction of the total length where the spike will be placed.], default: 50%) +/// #show-parameter-block("curves", ("number"), [ +/// Curviness factor of the brace, a factor of 0 means no curves.], default: auto) +/// #show-parameter-block("outer-curves", ("auto", "number"), [ +/// Curviness factor of the outer curves of the brace. A factor of 0 means no curves.], default: auto) +/// +/// *Anchors:* +/// / start: Where the brace starts, same as the `start` parameter. +/// / end: Where the brace end, same as the `end` parameter. +/// / spike: Point of the spike's top. +/// / content: Point to place content/text at, in front of the spike. +/// / center: Center of the enclosing rectangle. +/// +/// - start (coordinate): Start point +/// - end (coordinate): End point +/// - flip (bool): Flip the brace around +/// - name (string, none): Element name for querying anchors +/// - ..style (style): Style key-value pairs +#let flat-brace( + start, + end, + flip: false, + debug: false, + name: none, + ..style, +) = { + // Validate coordinates + let t = (start, end).map(coordinate.resolve-system) + + group(name: name, ctx => { + // Get styles and validate their types and values + let style = styles.resolve(ctx.style, merge: style.named(), + root: "flat-brace", base: flat-brace-default-style) + + let amplitude = style.amplitude + assert( + type(amplitude) in (int, float), + message: "amplitude must be a number, got " + repr(amplitude), + ) + // we achieve flipping by inverting the amplitude + if flip { amplitude *= -1 } + + let aspect = style.aspect + assert( + (type(aspect) == ratio + and aspect >= 0% and aspect <= 100%) + or (type(aspect) in (int, float) + and aspect >= 0 and aspect <= 1), + message: "aspect must be a ratio between 0% and 100%, got " + repr(aspect), + ) + if type(aspect) == ratio { aspect /= 100% } + + let inner-curves = style.curves + assert( + type(inner-curves) in (int, float) + or type(inner-curves) == array + and inner-curves.all(v => type(v) in (int, float, type(auto))), + message: "curves must be a number, or an array of numbers or auto, got " + repr(inner-curves), + ) + if type(inner-curves) in (int, float) { inner-curves = (inner-curves,) } + while inner-curves.len() < flat-brace-default-style.curves.len() { + inner-curves.push(auto) + } + inner-curves = inner-curves.enumerate().map(((idx, v)) => if v == auto { + flat-brace-default-style.curves.at(idx) + } else { v }) + + let outer-curves = style.outer-curves + assert( + type(outer-curves) in (int, float, type(auto)) + or type(outer-curves) == array + and outer-curves.all(v => type(v) in (int, float, type(auto))), + message: "outer-curves must be auto, a number, or an array of numbers or auto, got " + repr(outer-curves), + ) + if outer-curves == auto { + outer-curves = inner-curves + } else { + if type(outer-curves) in (int, float) { outer-curves = (outer-curves,) } + while outer-curves.len() < inner-curves.len() { outer-curves.push(auto) } + outer-curves = outer-curves.enumerate() + .map(((idx, v)) => if v == auto { inner-curves.at(idx) } else { v }) + } + + let content-offset = style.content-offset + assert( + type(content-offset) in (int, float), + message: "content-offset must be a number, got " + repr(content-offset), + ) + + // all the following code assumes the brace to start at (0, 0), growing to the right, + // pointing upwards, so we set the origin and rotate the entire group accordingly + let (_, start, end) = coordinate.resolve(ctx, start, end) + set-origin(start) + rotate(vector.angle2(start, end) * -1) + + let length = vector.dist(start, end) + let middle = aspect * length + let horizon = amplitude / 2 + + let normal-outer = calc.abs(amplitude * outer-curves.at(0)) + let normal-inner = calc.abs(amplitude * inner-curves.at(0)) + let length-left = middle + let length-right = length - middle + + // width of left-outer, left-inner, right-inner, right-outer curve segments + let lo = if 2 * normal-outer > length-left { length-left / 2 } else { normal-outer } + let li = if 2 * normal-inner > length-left { length-left / 2 } else { normal-inner } + let ri = if 2 * normal-inner > length-right { length-right / 2 } else { normal-inner } + let ro = if 2 * normal-outer > length-right { length-right / 2 } else { normal-outer } + + // 'a' and 'b' are start and end + let a = ( 0, 0) + let b = (length, 0) + // 'c' is the spike's top + let c = (middle, amplitude) + // 'de' is the left line, 'fg' is the right line + let d = ( lo, horizon) + let e = (middle - li, horizon) + let f = (middle + ri, horizon) + let g = (length - ro, horizon) + // 'h' is where to place content, above the spike + let h = (middle, amplitude + content-offset) + + // list of all named points to show in debug mode + let points = (a: a, b: b, c: c, d: d, e: e, f: f, g: g, h: h) + + // bezier control points: in 'dlc' 'd' stands for the point 'd' where the control point is used, + // 'l' stands for left of spike, 'c' stands for control point + let dlc = ( (1 - outer-curves.at(1)) * lo, horizon) + let elc = (middle - (1 - inner-curves.at(1)) * li, horizon) + let frc = (middle + (1 - inner-curves.at(1)) * ri, horizon) + let grc = (length - (1 - outer-curves.at(1)) * ro, horizon) + let alc = ( outer-curves.at(3) * lo, outer-curves.at(2) / 2 * amplitude) + let clc = (middle - inner-curves.at(3) * li, (1 - inner-curves.at(2) / 2) * amplitude) + let crc = (middle + inner-curves.at(3) * ri, (1 - inner-curves.at(2) / 2) * amplitude) + let brc = (length - outer-curves.at(3) * ro, outer-curves.at(2) / 2 * amplitude) + + merge-path({ + bezier(a, d, alc, dlc) + bezier(e, c, elc, clc) + bezier(c, f, crc, frc) + bezier(g, b, grc, brc) + }) + // define some named anchors + anchor("spike", c) + anchor("content", h) + anchor("start", a) + anchor("end", b) + anchor("center", (d, 50%, g)) + // define anchors for all points + for (name, point) in points { + anchor(name, point) + } + if debug { + // show bezier control points using colored lines + line(stroke: purple, a, alc) + line(stroke: blue, d, dlc) + line(stroke: olive, e, elc) + line(stroke: red, c, clc) + line(stroke: red, c, crc) + line(stroke: olive, f, frc) + line(stroke: blue, g, grc) + line(stroke: purple, b, brc) + // show all named points + for (name, point) in points { + content(point, box(fill: luma(240), inset: .5pt, text(style.debug-text-size, raw(name)))) + } + } + }) + // move to end point so the current position after this is the end position + move-to(end) +} diff --git a/src/lib/decorations/path.typ b/src/lib/decorations/path.typ new file mode 100644 index 00000000..e99503a9 --- /dev/null +++ b/src/lib/decorations/path.typ @@ -0,0 +1,420 @@ +// Library for drawing springs +#import "/src/draw.typ" +#import "/src/styles.typ" +#import "/src/coordinate.typ" +#import "/src/vector.typ" +#import "/src/process.typ" +#import "/src/path-util.typ" +#import "/src/util.typ" +#import "/src/bezier.typ" + +#let default-style = ( + /// Number of segments + segments: 10, + /// Length of a single segments + segment-length: none, + + /// Amplitude of a segment in the direction of the segments normal + amplitude: 1, + /// Decoration start + start: 0%, + /// Decoration stop + stop: 100%, + /// Decoration alignment on the target path + align: "START", + /// Draw remaining space as line ("LINE") or none + rest: "LINE", + + /// Up-vector for 3D lines + z-up: (0, 1, 0), + /// Up-vector for 2D lines + xy-up: (0, 0, -1), + + stroke: auto, + fill: none, + mark: auto, +) + +// Zig-Zag default style +#let zigzag-default-style = ( + ..default-style, + /// Midpoint factor + /// 0%: Sawtooth (up-down) + /// 50%: Triangle + /// 100%: Sawtooth (down-up) + factor: 50%, +) + +// Wave default style +#let wave-default-style = ( + ..default-style, + /// Wave (catmull-rom) tension + tension: .5, +) + +// Coil default style +#let coil-default-style = ( + ..default-style, + /// Coil "overshoot" factor + factor: 150%, +) + +#let resolve-style(ctx, segments, style) = { + assert(not (style.segments == none and style.segment-length == none), + message: "Only one of segments or segment-length must be set, while the other must be auto") + assert(style.segments != none or style.segment-length != none, + message: "Either segments or segment-length must be not equal to none") + + // Calculate absolute start/stop distances + let len = path-util.length(segments) + if type(style.start) == ratio { + style.start = len * style.start / 100% + } + style.start = calc.max(0, calc.min(style.start, len)) + if type(style.stop) == ratio { + style.stop = len * style.stop / 100% + } + style.stop = calc.max(0, calc.min(style.stop, len)) + + if style.segment-length != none { + // Calculate number of divisions + let n = (style.stop - style.start) / style.segment-length + style.segments = calc.floor(n) + + // Divides the rest between start, stop or both + let r = (n - calc.floor(n)) * style.segment-length + if style.align == "MID" { + let m = (style.start + style.stop) / 2 + style.start = m - n * style.segment-length / 2 + style.stop = m + n * style.segment-length / 2 + } else if style.align == "STOP" { + style.start = style.stop - n * style.segment-length + } else if style.align == "START" { + style.stop = style.start + n * style.segment-length + } + } + + return style +} + +#let get-segments(ctx, target) = { + if type(target) == array { + assert.eq(target.len(), 1, + message: "Expected a single element, got " + str(target.len())) + target = target.first() + } + + let (ctx, drawables, ..) = process.element(ctx, target) + if drawables == none or drawables == () { + return () + } + + let first = drawables.first() + return (segments: first.segments, close: first.close) +} + +// Add optional line elements from segments start to mid-path start +// and mid-path end to sgements end +#let finalize-path(ctx, segments, style, mid-path, close: false) = { + let add = style.rest == "LINE" and not close + + let (ctx, drawables, ..) = process.many(ctx, mid-path) + let mid-first = drawables.first().segments.first() + let mid-last = drawables.last().segments.last() + + if add { + let start = path-util.segment-start(segments.first()) + start = util.revert-transform(ctx.transform, start) + + let mid-start = path-util.segment-start(mid-first) + mid-start = util.revert-transform(ctx.transform, mid-start) + draw.line(start, mid-start, mark: none) + } + mid-path; + if add { + let end = path-util.segment-end(segments.last()) + end = util.revert-transform(ctx.transform, end) + + let mid-end = path-util.segment-end(mid-last) + mid-end = util.revert-transform(ctx.transform, mid-end) + draw.line(mid-end, end, mark: none) + } + // TODO: Add marks on path. +} + +// Call callback `fn` for each decoration segment +// on path `segments`. +// +// The callback gets called with the following arguments: +// - i Segment index +// - start Segment start point +// - end Segment end point +// - norm Normal vector (length 1) +// Result values get returned as an array +#let _path-effect(ctx, segments, fn, close: false, style) = { + let n = style.segments + assert(n > 0, + message: "Number of segments must be greater than 0") + + let (start, stop) = (style.start, style.stop) + let inc = (stop - start) / n + let pts = () + let len = path-util.length(segments) + for i in range(0, n) { + let p0 = path-util.point-on-path(segments, calc.max(start, + start + inc * i)) + let p1 = path-util.point-on-path(segments, calc.min(stop, + start + inc * (i + 1))) + if p0 == p1 { continue } + + (p0, p1) = util.revert-transform(ctx.transform, p0, p1) + + let dir = vector.sub(p1, p0) + let norm = vector.norm(vector.cross(dir, if p0.at(2) != p1.at(2) { + style.z-up + } else { + style.xy-up + })) + + pts += fn(i, p0, p1, norm) + } + return pts +} + +/// Draw a zig-zag or saw-tooth wave along a path +/// +/// The number of tooths can be controlled via the `segments` or `segment-length` style key, +/// and the width via `amplitude`. +/// +/// ```example +/// line((0,0), (2,1), stroke: gray) +/// cetz.decorations.zigzag(line((0,0), (2,1)), amplitude: .25, start: 10%, stop: 90%) +/// ``` +/// +/// = Styling +/// *Root* `zigzag` +/// == Keys +/// #show-parameter-block("factor", ("ratio",), default: 100%, [ +/// Triangle mid between its start and end. Setting this to 0% leads to +/// a falling sawtooth shape, while 100% results in a raising sawtooth]) +/// +/// - target (drawable): Target path +/// - close (auto,bool): Close the path +/// - name (none,string): Element name +/// - ..style (style): Style +#let zigzag(target, name: none, close: auto, ..style) = draw.get-ctx(ctx => { + let style = styles.resolve(ctx, merge: style.named(), + base: zigzag-default-style, root: "zigzag") + + let (segments, close) = get-segments(ctx, target) + let style = resolve-style(ctx, segments, style) + let num-segments = style.segments + + // Return points for a zigzag line + // + // m1 ▲ + // / \ │ Up + // ..a....\....b.. ' + // \ / + // m2 + // |--| + // q-dir (quarter length between a and b) + // + // For the first/last segment, a/b get added. For all + // other segments we only have to add m1 and m2 to the + // list of points for the line-strip. + let fn(i, a, b, norm) = { + let ab = vector.sub(b, a) + + let f = .25 - (50% - style.factor) / 50% * .25 + let q-dir = vector.scale(ab, f) + let up = vector.scale(norm, style.amplitude / 2) + let down = vector.scale(up, -1) + + let m1 = vector.add(vector.add(a, q-dir), up) + let m2 = vector.add(vector.sub(b, q-dir), down) + + return if not close and i == 0 { + (a, m1, m2) // First segment: add a + } else if not close and i == num-segments - 1 { + (m1, m2, b) // Last segment: add b + } else { + (m1, m2) + } + } + + let pts = _path-effect(ctx, segments, fn, close: close, style) + return draw.merge-path( + finalize-path(ctx, segments, style, + draw.line(..pts, name: name, ..style, mark: none), + close: close), + close: close, + ..style) +}) + +/// Draw a stretched coil/loop spring along a path +/// +/// The number of windings can be controlled via the `segments` or `segment-length` style key, +/// and the width via `amplitude`. +/// +/// ```example +/// line((0,0), (2,1), stroke: gray) +/// cetz.decorations.coil(line((0,0), (2,1)), amplitude: .25, start: 10%, stop: 90%) +/// ``` +/// +/// = Styling +/// *Root* `coil` +/// == Keys +/// #show-parameter-block("factor", ("ratio",), default: 150%, [ +/// Factor of how much the coil overextends its length to form a curl.]) +/// +/// - target (drawable): Target path +/// - close (auto,bool): Close the path +/// - name (none,string): Element name +/// - ..style (style): Style +#let coil(target, close: auto, name: none, ..style) = draw.get-ctx(ctx => { + let style = styles.resolve(ctx, merge: style.named(), + base: coil-default-style, root: "coil") + + let (segments, close) = get-segments(ctx, target) + let style = resolve-style(ctx, segments, style) + + let num-segments = calc.max(style.segments, 1) + let length = path-util.length(segments) + let phase-length = length / num-segments + let overshoot = calc.max(0, (style.factor - 100%) / 100% * phase-length) + + // Offset both control points so the curve approximates + // an elliptic arc + let ellipsize-cubic(s, e, c1, c2) = { + let m = vector.scale(vector.add(c1, c2), .5) + let d = vector.sub(e, s) + + c1 = vector.sub(m, vector.scale(d, .5)) + c2 = vector.add(m, vector.scale(d, .5)) + + return (s, e, c1, c2) + } + + // Return a list of drawables to form a coil-like loop + // + // ____ ┐ + // / \ │ Upper curve + // | | ┘ + // ..a...b..|.. ┐ Lower curve + // \_/ ┘ + // + // └──┘ + // Overshoot + // + let fn(i, a, b, norm) = { + let ab = vector.sub(b, a) + let up = vector.scale(norm, style.amplitude / 2) + let dist = vector.dist(a, b) + + let d = vector.norm(ab) + let overshoot-at(i) = if num-segments <= 1 { + 0 + } else if close { + overshoot / 2 + } else { + i / (num-segments - 1) * overshoot + } + + let next-a = vector.sub(b, vector.scale(d, overshoot-at(i + 1))) + let a = vector.sub(a, vector.scale(d, overshoot-at(i))) + let b = vector.add(b, vector.scale(d, overshoot-at(num-segments - i))) + let m = vector.scale(vector.add(a, b), .5) + let m-up = vector.add(m, up) + let m-down = vector.sub(vector.scale(vector.add(next-a, b), .5), up) + + let upper = bezier.cubic-through-3points(a, m-up, b) + upper = ellipsize-cubic(..upper) + + let lower = bezier.cubic-through-3points(b, m-down, next-a) + lower = ellipsize-cubic(..lower) + + if i < num-segments - 1 or close { + return ( + draw.bezier(..upper, mark: none), + draw.bezier(..lower, mark: none), + ) + } else { + return (draw.bezier(..upper, mark: none),) + } + } + + return draw.merge-path( + finalize-path(ctx, segments, style, + _path-effect(ctx, segments, fn, close: close, style).flatten(), + close: close), + ..style, + name: name, + close: close) +}) + +/// Draw a wave along a path using a catmull-rom curve +/// +/// The number of phases can be controlled via the `segments` or `segment-length` style key, +/// and the width via `amplitude`. +/// +/// ```example +/// line((0,0), (2,1), stroke: gray) +/// cetz.decorations.wave(line((0,0), (2,1)), amplitude: .25, start: 10%, stop: 90%) +/// ``` +/// +/// = Styling +/// *Root* `wave` +/// == Keys +/// #show-parameter-block("tension", ("float",), default: .5, [ +/// Catmull-Rom curve tension, see @@catmull().]) +/// +/// - target (drawable): Target path +/// - close (auto,bool): Close the path +/// - name (none,string): Element name +/// - ..style (style): Style +#let wave(target, close: auto, name: none, ..style) = draw.get-ctx(ctx => { + let style = styles.resolve(ctx, merge: style.named(), + base: wave-default-style, root: "wave") + + let (segments, close) = get-segments(ctx, target) + let style = resolve-style(ctx, segments, style) + let num-segments = style.segments + + // Return a list of points for the catmull-rom curve + // + // ╭ ma ╮ ▲ + // │ │ │ Up + // ..a....m....b.. ' + // │ │ + // ╰ mb ╯ + // + let fn(i, a, b, norm) = { + let ab = vector.sub(b, a) + let up = vector.scale(norm, style.amplitude / 2) + let down = vector.scale( + up, -1) + + let ma = vector.add(vector.add(a, vector.scale(ab, .25)), up) + let m = vector.add(a, vector.scale(ab, .50)) + let mb = vector.add(vector.sub(b, vector.scale(ab, .25)), down) + + if not close { + if i == 0 { + return (a, ma, mb) + } else if i == num-segments - 1 { + return (ma, mb, b,) + } + } + + return (ma, mb) + } + + return draw.merge-path( + finalize-path(ctx, segments, style, draw.catmull( + .._path-effect(ctx, segments, fn, close: close, style), + close: close), close: close) , + name: name, + close: close, + ..style) +}) diff --git a/src/lib/plot/legend.typ b/src/lib/plot/legend.typ index 6a9316ad..14b1980b 100644 --- a/src/lib/plot/legend.typ +++ b/src/lib/plot/legend.typ @@ -148,7 +148,7 @@ // Draw mark preview let mark = item.at("mark", default: none) if mark != none { - draw-mark-shape((preview-a, .5, preview-b), + draw-mark-shape((preview-a, 50%, preview-b), calc.min(style.item.preview.width / 2, item.mark-size), mark, item.mark-style) diff --git a/src/mark.typ b/src/mark.typ index 59c231f8..f929c80f 100644 --- a/src/mark.typ +++ b/src/mark.typ @@ -8,7 +8,7 @@ #import "styles.typ" #import "mark-shapes.typ": get-mark -#let check-mark(style) = (style.start, style.end, style.symbol).any(v => v != none) +#let check-mark(style) = style != none and (style.start, style.end, style.symbol).any(v => v != none) #let process-style(ctx, style, root, path-length) = { let base-style = ( diff --git a/src/util.typ b/src/util.typ index a5c649f3..4ef402ea 100644 --- a/src/util.typ +++ b/src/util.typ @@ -50,8 +50,8 @@ /// - transform (matrix): Transformation matrix /// - vec (vector): Vector to get transformed /// -> vector -#let revert-transform(transform, vec) = { - apply-transform(matrix.inverse(transform), vec) +#let revert-transform(transform, ..vecs) = { + 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Cxof5X literal 0 HcmV?d00001 diff --git a/tests/decorations/path/test.typ b/tests/decorations/path/test.typ new file mode 100644 index 00000000..8b6080e4 --- /dev/null +++ b/tests/decorations/path/test.typ @@ -0,0 +1,109 @@ +#set page(width: auto, height: auto) +#import "/src/lib.typ": * +#import "/tests/helper.typ": * + +#import decorations: zigzag, coil, wave + +#box(stroke: 2pt + red, canvas(length: 1cm, { + import draw: * + + zigzag(line((0,0), (4,0))) + zigzag(line((0,1), (4,1)), amplitude: .5) +})) + +#box(stroke: 2pt + red, canvas(length: 1cm, { + import draw: * + + wave(line((0,0), (4,0))) + wave(line((0,1), (4,1)), amplitude: .5) +})) + +#box(stroke: 2pt + red, canvas(length: 1cm, { + import draw: * + + coil(line((0,0), (4,0))) + coil(line((0,1), (4,1)), amplitude: .5) +})) + +#box(stroke: 2pt + red, canvas(length: 1cm, { + import draw: * + + zigzag(hobby((0,0), (4,0), (6,2))) +})) + +#box(stroke: 2pt + red, canvas(length: 1cm, { + import draw: * + + coil(hobby((0,0), (4,0), (6,2))) +})) + +#box(stroke: 2pt + red, canvas(length: 1cm, { + import draw: * + + wave(hobby((0,0), (4,0), (6,2))) +})) + +#box(stroke: 2pt + red, canvas(length: 1cm, { + import draw: * + + set-style(radius: .9) + zigzag(circle((0,0)), amplitude: .2, segments: 20, factor: 0%) + zigzag(circle((0,2)), amplitude: .2, segments: 20, factor: 50%, stroke: blue) + zigzag(circle((0,4)), amplitude: .2, segments: 20, factor: 100%, stroke: red) +})) + +#box(stroke: 2pt + red, canvas(length: 1cm, { + import draw: * + + set-style(radius: .9) + coil(circle((0,0)), amplitude: .2, segments: 30, factor: 100%) + coil(circle((0,2)), amplitude: .2, segments: 30, factor: 120%, stroke: blue) + coil(circle((0,4)), amplitude: .2, segments: 30, factor: 150%, stroke: red) +})) + +#box(stroke: 2pt + red, canvas(length: 1cm, { + import draw: * + + set-style(radius: .9) + wave(circle((0,0)), amplitude: .2, segments: 20, tension: .3) + wave(circle((0,2)), amplitude: .2, segments: 20, tension: .5, stroke: blue) + wave(circle((0,4)), amplitude: .2, segments: 20, tension: 1, stroke: red) +})) + + +#test-case({ + import draw: * + + zigzag(line((0,0), (3,0)), start: 10%, stop: 90%) + zigzag(line((0,2), (3,2)), start: 1, stop: 2) +}) + +#test-case({ + import draw: * + + coil(line((0,0), (3,0)), start: 10%, stop: 90%) + coil(line((0,2), (3,2)), start: 1, stop: 2) +}) + +#test-case({ + import draw: * + + wave(line((0,0), (3,0)), start: 10%, stop: 90%) + wave(line((0,2), (3,2)), start: 1, stop: 2) +}) + +#test-case({ + import draw: * + + wave(line((0,0,-1), (0,0,1)), start: 10%, stop: 90%) +}) + +#test-case({ + import draw: * + + // Keep the fixed amplitude + for i in range(0, 6) { + wave(line((0,i), (3,i)), start: 10%, stop: 1 + i / 5, + segment-length: .22, amplitude: .8) + } +}) diff --git a/tests/gradient/ref.png b/tests/gradient/ref.png index 0e0b0f2c187292874b036f72060161cf926eb310..9b675e73efb7a2994bcea336dad1f600531a2a74 100644 GIT binary patch delta 40 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