From c0f030b513bb41ccceb82473e6f0193bb1eae64d Mon Sep 17 00:00:00 2001 From: Belleve Invis Date: Mon, 23 Mar 2020 22:59:20 -0700 Subject: [PATCH] Fix srtail, Sswash and sswash. Add zero.reverse-slashed. Closes #458. --- README.md | 1 + gen/build-glyphs.ptl | 1 - glyphs/common-shapes.ptl | 1 - glyphs/letters-unified-basic.ptl | 114 +++++++++-------- glyphs/numbers.ptl | 20 +++ images/charvars.png | Bin 174707 -> 177372 bytes images/languages.png | Bin 405837 -> 407966 bytes images/ligations.png | Bin 345979 -> 345091 bytes images/matrix.png | Bin 178266 -> 177851 bytes images/preview-all.png | Bin 344121 -> 345059 bytes images/stylesets.png | Bin 982687 -> 982270 bytes images/weights.png | Bin 326245 -> 326241 bytes snapshot/index.html | 5 + support/curve-util.js | 202 ++++++++++++------------------ support/fairify.js | 203 ++++++++++++++++--------------- support/point.ptl | 35 ++++++ support/regulate-glyph.js | 33 ++--- support/spirokit.ptl | 6 +- variants.toml | 6 + 19 files changed, 327 insertions(+), 300 deletions(-) diff --git a/README.md b/README.md index 3de40eb57..0f00ce784 100644 --- a/README.md +++ b/README.md @@ -304,6 +304,7 @@ The current available styles for `design`/`upright`/`italic`/`oblique` options a * `v-zero-slashed`, `cv13`: Slashed Zero `0` (default). * `v-zero-dotted`, `cv14`: Dotted Zero `0`. * `v-zero-unslashed`, `cv15`: O-like `0`. + * `v-zero-reverse-slashed`, `cv93`: Reverse-slashed `0`. * Styles for `1`: * `v-one-nobase`, `cv50`: `1` with bottom serif (default for Sans). * `v-one-base`, `cv51`: `1` without bottom serif (default for Slab). diff --git a/gen/build-glyphs.ptl b/gen/build-glyphs.ptl index 3c40c79aa..baec06834 100644 --- a/gen/build-glyphs.ptl +++ b/gen/build-glyphs.ptl @@ -4,7 +4,6 @@ import '../support/spirokit' as spirokit import '../support/transform' as : Transform && [object [transformPoint tp] [unTransform utp] inverse] import '../support/anchor' as Anchor import '../support/monotonic-interpolate' as smoothreg -import '../support/fairify' as fairify import [mix linreg clamp fallback TempFont includeGlyphPart compsiteMarkSet] from '../support/utils' import [calculateMetrics setFontMetrics MarksetDiv GenDivFrame] from '../meta/aesthetics' diff --git a/glyphs/common-shapes.ptl b/glyphs/common-shapes.ptl index 40282bda9..4218b465c 100644 --- a/glyphs/common-shapes.ptl +++ b/glyphs/common-shapes.ptl @@ -1,7 +1,6 @@ $$include '../meta/macros.ptl' import '../support/transform' as : Transform && [object [transformPoint tp] [unTransform utp] inverse] -import '../support/fairify' as fairify import [mix linreg clamp fallback] from '../support/utils' import [designParameters] from '../meta/aesthetics' diff --git a/glyphs/letters-unified-basic.ptl b/glyphs/letters-unified-basic.ptl index 3e7c28643..303f96fc2 100644 --- a/glyphs/letters-unified-basic.ptl +++ b/glyphs/letters-unified-basic.ptl @@ -4211,13 +4211,11 @@ glyph-block LetterUnified-Basic : begin define tension : 0.46 - 0.005 * strokeCoeff + slantCoeff * TANSLANT return : alsothruthem {{0.4 tension} {0.6 (1 - tension)}} [widths.center stroke] - sketch # S - set-width WIDTH - include MarkSet.capital + define [SStroke] : begin local stroke : adviceBlackness2 2.875 2 CAP local ess : ESS * stroke / STROKE define smooth : adviceSSmooth CAP (-1) stroke - include : dispiro + return : dispiro widths.lhs stroke g4 RIGHTSB (CAP - HOOK) hookstart CAPO (sw -- stroke) (swItalicAdj -- STROKE) @@ -4226,34 +4224,12 @@ glyph-block LetterUnified-Basic : begin g4 RIGHTSB smooth [widths 0 stroke] hookend O (sw -- stroke) (swItalicAdj -- STROKE) g4 SB HOOK - save 'S' 'S' - save 'cyrDze' 0x405 - sketch # s - set-width WIDTH - include MarkSet.e - define stroke : adviceBlackness2 2.875 2 XH - define ess : mix stroke (ESS * stroke / STROKE) 0.5 - define strokeCoeff : linreg 18 0 126 1 stroke - define smooth : adviceSSmooth XH (-1) stroke - include : dispiro - widths.lhs stroke - g4 (RIGHTSB + OX / 4) (XH - SHOOK) - hookstart XO (sw -- stroke) (swItalicAdj -- STROKE) - g4 (SB + OX / 8) (XH - smooth) - SNeck stroke (slantCoeff -- -0.01) - g4 (RIGHTSB - OX / 8) (smooth) [widths 0 stroke] - hookend O (sw -- stroke) (swItalicAdj -- STROKE) - g4 (SB - OX / 4) SHOOK - save 's' 's' - save 'cyrdze' 0x455 - - sketch # revS - include MarkSet.capital + define [RevSStroke] : begin local stroke : adviceBlackness2 2.875 2 CAP local ess : ESS * stroke / STROKE local smooth : adviceSSmooth CAP 0.5 stroke - include : dispiro + return : dispiro widths.rhs stroke g4 SB (CAP - HOOK) hookstart CAPO (sw -- stroke) (swItalicAdj -- STROKE) @@ -4263,15 +4239,27 @@ glyph-block LetterUnified-Basic : begin hookend O (sw -- stroke) (swItalicAdj -- STROKE) g4 RIGHTSB HOOK - save 'revS' 0x1A7 + define [sStroke] : begin + define stroke : adviceBlackness2 2.875 2 XH + define ess : mix stroke (ESS * stroke / STROKE) 0.5 + define strokeCoeff : linreg 18 0 126 1 stroke + define smooth : adviceSSmooth XH (-1) stroke + return : dispiro + widths.lhs stroke + g4 (RIGHTSB + OX / 4) (XH - SHOOK) + hookstart XO (sw -- stroke) (swItalicAdj -- STROKE) + g4 (SB + OX / 8) (XH - smooth) + SNeck stroke (slantCoeff -- -0.01) + g4 (RIGHTSB - OX / 8) (smooth) [widths 0 stroke] + hookend O (sw -- stroke) (swItalicAdj -- STROKE) + g4 (SB - OX / 4) SHOOK - sketch # revs - include MarkSet.e + define [RevsStroke] : begin define stroke : adviceBlackness2 2.875 2 XH define ess : ESS * stroke / STROKE define strokeCoeff : linreg 18 0 126 1 stroke define smooth : adviceSSmooth XH 1 stroke - include : dispiro + return : dispiro widths.rhs stroke g4 SB (XH - SHOOK) hookstart XO (sw -- stroke) (swItalicAdj -- STROKE) @@ -4281,43 +4269,73 @@ glyph-block LetterUnified-Basic : begin hookend O (sw -- stroke) (swItalicAdj -- STROKE) g4 RIGHTSB SHOOK + sketch # S + include MarkSet.capital + include : SStroke + save 'S' 'S' + save 'cyrDze' 0x405 + + sketch # s + include MarkSet.e + include : sStroke + save 's' 's' + save 'cyrdze' 0x455 + + sketch # revS + include MarkSet.capital + include : RevSStroke + save 'revS' 0x1A7 + + sketch # revs + include MarkSet.e + include : RevsStroke save 'revs' 0x1A8 save 'cyrghe.italic' sketch # srtail - include glyphs.rtailBR - local stroke : adviceBlackness2 2.875 2 XH - apply-transform : Upright - apply-transform : Translate (SB + stroke * HVCONTRAST + OXHOOK) 0 - apply-transform : Italify include MarkSet.p - include glyphs.s - include : VBarLeft (SB + OXHOOK) 0 SHOOK + local stroke : [sStroke].call currentGlyph + local start : utp currentGlyph.gizmo stroke.lhsKnots.(stroke.lhsKnots.length - 1) + + include : create-glyph : glyph-construction + local sw : adviceBlackness2 2.875 2 XH + include glyphs.rtailBR + apply-transform : Upright + apply-transform : Translate (start.x + sw * HVCONTRAST) 0 + apply-transform : Italify + + include : VBarLeft start.x 0 start.y save 'srtail' 0x282 sketch # Sswash include MarkSet.if - include glyphs.S - local stroke : adviceBlackness2 2.875 2 CAP + + local stroke : [SStroke].call currentGlyph + local start : utp currentGlyph.gizmo stroke.lhsKnots.(stroke.lhsKnots.length - 1) + + local sw : adviceBlackness2 2.875 2 CAP include : dispiro widths.lhs [adviceBlackness 4.5] - g4 (SB + OXHOOK) HOOK + g4 start.x start.y alsothru 0.15 0.6 important - flat (RIGHTSB - 1) DESCENDER [widths stroke 0] + flat (RIGHTSB - 1) DESCENDER [widths sw 0] curl RIGHTSB DESCENDER save 'Sswash' 0x2C7E sketch # sswash include MarkSet.p - include glyphs.s - local stroke : adviceBlackness2 2.875 2 XH + + local stroke : [sStroke].call currentGlyph + local start : utp currentGlyph.gizmo stroke.lhsKnots.(stroke.lhsKnots.length - 1) + + local sw : adviceBlackness2 2.875 2 XH include : dispiro widths.lhs [adviceBlackness 4.5] - g4 (SB + OXHOOK) SHOOK - alsothru 0.2 0.6 important - flat (RIGHTSB - 1) DESCENDER [widths stroke 0] + g4 start.x start.y + alsothru 0.15 0.6 important + flat (RIGHTSB - 1) DESCENDER [widths sw 0] curl RIGHTSB DESCENDER save 'sswash' 0x23F diff --git a/glyphs/numbers.ptl b/glyphs/numbers.ptl index 7eec22318..573a87353 100644 --- a/glyphs/numbers.ptl +++ b/glyphs/numbers.ptl @@ -24,6 +24,14 @@ glyph-block Numbers : begin flat 0 (top * (1 - 0.77)) [widths fine fine] curl WIDTH (top * 0.77) + define [ZeroReverseSlashShape top] : begin + local fine : 0.5 * OVERLAYSTROKE + return : intersection + OShapeOutline (top + O) (0 - O) (SB - O) (RIGHTSB + O) + dispiro + flat 0 (top * 0.77) [widths fine fine] + curl WIDTH (top * (1 - 0.77)) + define [ZeroDotShape top] : begin local radius : Math.min DOTRADIUS ((RIGHTSB - SB - STROKE * 2) / 4) return : Ring (top / 2 + radius) (top / 2 - radius) (MIDDLE + radius) (MIDDLE - radius) @@ -39,6 +47,12 @@ glyph-block Numbers : begin include : ZeroSlashShape CAP save 'zero.lnum.slashed' + sketch # zero.lnum.reverse-slashed + include MarkSet.capital + include glyphs.'zero.lnum.unslashed' + include : ZeroReverseSlashShape CAP + save 'zero.lnum.reverse-slashed' + sketch # zero.lnum.dotted include MarkSet.capital include glyphs.'zero.lnum.unslashed' @@ -56,6 +70,12 @@ glyph-block Numbers : begin include : ZeroSlashShape XH save 'zero.onum.slashed' + sketch # zero.onum.reverse-slashed + include MarkSet.e + include glyphs.'zero.onum.unslashed' + include : ZeroReverseSlashShape XH + save 'zero.onum.reverse-slashed' + sketch # zero.onum.dotted include MarkSet.e include glyphs.'zero.onum.unslashed' diff --git a/images/charvars.png b/images/charvars.png index 0f6aa2d5f2c2431b1891db8cf635199b220d1b3b..d84deac430da2c52d9cecc706af62257d469f48b 100644 GIT binary patch literal 177372 zcmd?Rc{rPE_b6=dYPB_0wN;d4?{2gdZOv0O9jGd*iW)*y%wx?2*`=r&TSd(+MF~;2w8e%E)-`My6~xt`~~?=`P=ueI*`5&1w@ zlk=p&Nfs6sPOZDQAF{BVY-3^JK6e~=!BYPHqdV}!Y6sPUvapoKvF}+O1)jmycOUAo zump&*u>Aglg@pmU`hA{-#rrA?%igVcEG%5p0G{(KEI)Gt?|!~^oPFZ(_o=q#Z5C!k+*dry&t+{|x1o>xMwZ8z zZss#}(hMs1SLuU^yF2abzev>F_xVh ziergY|AVvko)5|i<5`iIuhiMOkww@*|xyq;RmkfVJy zwMNUyV28dIrTEu<^puYr`?@_f=Rb(Zq^kCuoMmBo&wlhCz$%!Xg(c()3(IlLpMT)C zpMSjkr-8$l{}}i&`yVU*W#Hd}IUM}Y!2BKlAtnDr&ELWN)4;z_^LH@+g!tc*`QHTQ z?_~aaq5YlA|JS+w&&m9^Li^9b{9nTDe@y28Cv^KCbNf3O#rkg|#s3B~xKX??}x=J%w1IgU1*RSEXDQ2&|L(|>I!pMaO=5#cX#o)|*nQ_%L%nE- 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    1. diff --git a/support/curve-util.js b/support/curve-util.js index c7ecc2522..844f0276c 100644 --- a/support/curve-util.js +++ b/support/curve-util.js @@ -92,43 +92,49 @@ function removeMids(contour) { contour = contour.filter(x => !x.rem); last = contour.length - 1; - for (let j = 1; j < contour.length - 1; j++) { - if (!contour[j - 1].on && contour[j].on && !contour[j + 1].on) { - const mx = contour[j - 1].x + contour[j + 1].x; - const my = contour[j - 1].y + contour[j + 1].y; - const dy = contour[j - 1].y - contour[j + 1].y; - if ( - Math.abs(dy) >= 1 && - Math.abs(contour[j].x * 2 - mx) < 1 && - Math.abs(contour[j].y * 2 - my) < 1 - ) { - contour[j].rem = true; + let zPre, z, zPost; + for (let j = 1; j < contour.length; j++) { + if (j < contour.length - 1) { + zPre = contour[j - 1]; + z = contour[j]; + zPost = contour[j + 1]; + } else { + zPre = contour[last]; + z = contour[0]; + zPost = contour[1]; + } + // if (!zPre || !zPost) continue; + const mx = zPre.x + zPost.x; + const my = zPre.y + zPost.y; + const dx = zPre.x - zPost.x; + const dy = zPre.y - zPost.y; + + if (!zPre.on && z.on && !zPost.on) { + if (Math.abs(dy) >= 1 && Math.abs(z.x * 2 - mx) < 1 && Math.abs(z.y * 2 - my) < 1) { + z.rem = true; + } + } else if (!zPre.rem && zPre.on && z.on && !zPost.rem && zPost.on) { + if (Math.abs(dy) >= 1 && Math.abs(z.x * 2 - mx) < 1 && Math.abs(dx) < 1) { + z.rem = true; + } else if (Math.abs(dx) >= 1 && Math.abs(z.y * 2 - my) < 1 && Math.abs(dy) < 1) { + z.rem = true; } } } - if (!contour[last].rem && !contour[last].on && contour[0].on && !contour[1].on) { - const mx = contour[last].x + contour[1].x; - const my = contour[last].y + contour[1].y; - if (Math.abs(contour[0].x * 2 - mx) < 1 && Math.abs(contour[0].y * 2 - my) < 1) { - contour[0].rem = true; - } - } + contour = contour.filter(x => !x.rem); const n = contour.length; if (n >= n0) break; } return contour; } + function extPrior(a, b) { return a.y < b.y || (a.y === b.y && ((a.on && !b.on) || (a.on === b.on && a.x < b.x))); } function canonicalStart(_points) { - const points = _points.reverse().map(z => { - z.x = Math.round(z.x * 1024) / 1024; - z.y = Math.round(z.y * 1024) / 1024; - return z; - }); + const points = _points.reverse(); let jm = 0; for (var j = 0; j < points.length * 2; j++) { if (extPrior(points[j % points.length], points[jm])) { @@ -138,93 +144,8 @@ function canonicalStart(_points) { return points.slice(jm).concat(points.slice(0, jm)); } -function colinear(x1, y1, x2, y2, x3, y3, err) { - const det = x1 * (y2 - y3) + x2 * (y3 - y1) + x3 * (y1 - y2); - return det <= err && det >= -err; -} - -function inspan(a, b, c) { - if (a > c) return inspan(c, b, a); - return a <= b && b <= c; -} - -function handle(z1, z2, z3, z4, err) { - if ( - colinear(z1.x, z1.y, z2.x, z2.y, z4.x, z4.y, err) && - colinear(z1.x, z1.y, z3.x, z3.y, z4.x, z4.y, err) && - inspan(z1.x, z2.x, z4.x) && - inspan(z1.y, z2.y, z4.y) && - inspan(z1.x, z3.x, z4.x) && - inspan(z1.y, z3.y, z4.y) - ) { - return []; - } - - const curve = new typoGeom.Curve.Bez3(z1, z2, z3, z4); - const offPoints = typoGeom.Quadify.auto(curve, err); - const ans = []; - for (const z of offPoints) { - ans.push(Point.offFrom(z)); - } - return ans; -} - -function convertContourToTt(contour, err) { - if (contour.length === 0) return []; - if (contour.length === 1) return [contour[0]]; - err = err || 1 / 4; - - const newContour = []; - let z0 = contour[0]; - newContour.push(Point.cornerFrom(z0)); - - for (let j = 1; j < contour.length; j++) { - const z = contour[j]; - if (z.on) { - newContour.push(Point.cornerFrom(z)); - z0 = z; - } else if (z.cubic) { - const z1 = z; - const z2 = contour[j + 1]; - const z3 = contour[j + 2]; - const quadZs = handle(z0, z1, z2, z3, err); - for (const z of quadZs) newContour.push(z); - newContour.push(Point.cornerFrom(z3)); - z0 = z3; - j += 2; - } else { - const zc = z; - let zf = contour[j + 1] ? contour[j + 1] : contour[0]; - if (!zf.on) { - zf = Point.cornerFromXY(mix(zc.x, zf.x, 0.5), mix(zc.y, zf.y, 0.5)); - } - newContour.push(Point.offFrom(zc)); - newContour.push(Point.cornerFrom(zf)); - z0 = zf; - j++; - } - } - return newContour; -} - -function byFirstPointCoord(a, b) { - if (!a.length) return -1; - if (!b.length) return 1; - let z1 = a[0]; - let z2 = b[0]; - return z1.y !== z2.y - ? z1.y - z2.y - : z1.x !== z2.x - ? z1.x - z2.x - : byFirstPointCoord(a.slice(1), b.slice(1)); -} -function convertContourListToTt(contours, err) { - err = err || 1 / 4; - let ans = []; - for (let c of contours) { - ans.push(canonicalStart(removeMids(convertContourToTt(c, err)))); - } - return ans.sort(byFirstPointCoord); +function cleanupQuadContour(c) { + return canonicalStart(removeMids(c)); } function convertContourToCubic(contour) { @@ -243,34 +164,67 @@ function convertContourToCubic(contour) { const z1 = z; const z2 = contour[j + 1]; const z3 = contour[j + 2]; + newContour.push(Point.cubicOffFrom(z1)); newContour.push(Point.cubicOffFrom(z2)); newContour.push(Point.cornerFrom(z3)); + z0 = z3; j += 2; } else { const zc = z; - let zf = contour[j + 1] ? contour[j + 1] : contour[0]; - if (!zf.on) { - zf = Point.cornerFromXY(mix(zc.x, zf.x, 0.5), mix(zc.y, zf.y, 0.5)); - } + let zf = contour[j + 1] || contour[0]; + const zfIsCorner = zf.on; + if (!zfIsCorner) zf = Point.cornerFrom(zc).mix(0.5, zf); - const x1 = mix(z0.x, zc.x, 2 / 3); - const y1 = mix(z0.y, zc.y, 2 / 3); - const x2 = mix(zf.x, zc.x, 2 / 3); - const y2 = mix(zf.y, zc.y, 2 / 3); - - newContour.push(Point.cubicOffFromXY(x1, y1)); - newContour.push(Point.cubicOffFromXY(x2, y2)); + newContour.push(Point.cubicOffFrom(z0).mix(2 / 3, zc)); + newContour.push(Point.cubicOffFrom(zf).mix(2 / 3, zc)); newContour.push(Point.cornerFrom(zf)); + z0 = zf; - j++; + if (zfIsCorner) j++; } } return newContour; } -exports.convertContourToTt = convertContourToTt; +function autoCubify(arc, err) { + const MaxSegments = 16; + const Hits = 64; + let offPoints = []; + for (let nSeg = 1; nSeg <= MaxSegments; nSeg++) { + const perSegHits = Math.ceil(Hits / nSeg); + offPoints.length = 0; + let good = true; + out: for (let s = 0; s < nSeg; s++) { + const tBefore = s / nSeg; + const tAfter = (s + 1) / nSeg; + const z0 = Point.cornerFrom(arc.eval(tBefore)); + const z3 = Point.cornerFrom(arc.eval(tAfter)); + const z1 = Point.cubicOffFrom(z0).addScale(1 / (3 * nSeg), arc.derivative(tBefore)); + const z2 = Point.cubicOffFrom(z3).addScale(-1 / (3 * nSeg), arc.derivative(tAfter)); + + if (s > 0) offPoints.push(z0); + offPoints.push(z1, z2); + + const bezArc = new typoGeom.Curve.Bez3(z0, z1, z2, z3); + + for (let k = 1; k < perSegHits; k++) { + const tk = k / perSegHits; + const zTest = arc.eval(mix(tBefore, tAfter, tk)); + const zBez = bezArc.eval(tk); + if (Math.hypot(zTest.x - zBez.x, zTest.y - zBez.y) > err) { + good = false; + break out; + } + } + } + if (good) break; + } + return offPoints; +} + +exports.cleanupQuadContour = cleanupQuadContour; exports.convertContourToCubic = convertContourToCubic; -exports.convertContourListToTt = convertContourListToTt; +exports.autoCubify = autoCubify; diff --git a/support/fairify.js b/support/fairify.js index 2ecbb7c6f..42979d87e 100644 --- a/support/fairify.js +++ b/support/fairify.js @@ -1,9 +1,11 @@ "use strict"; -const Transform = require("./transform.js"); +const Transform = require("./transform"); const typoGeom = require("typo-geom"); +const Point = require("./point"); +const curveUtil = require("./curve-util"); -const SMALL = 1e-4; +const SMALL = 1e-6; function solveTS(a, b, c, out, flag) { const delta = b * b - 4 * a * c; @@ -43,7 +45,7 @@ function fineAllExtrema(z1, z2, z3, z4) { return exs.sort(ASCEND); } -function mix(z1, z2, t) { +function bez1(z1, z2, t) { if (t <= 0) return z1; if (t >= 1) return z2; let x = (1 - t) * z1.x + t * z2.x, @@ -74,10 +76,10 @@ function bez3(z1, z2, z3, z4, t) { }; } function splitBefore(z1, z2, z3, z4, t) { - return [z1, mix(z1, z2, t), bez2(z1, z2, z3, t), bez3(z1, z2, z3, z4, t)]; + return [z1, bez1(z1, z2, t), bez2(z1, z2, z3, t), bez3(z1, z2, z3, z4, t)]; } function splitAfter(z1, z2, z3, z4, t) { - return [bez3(z1, z2, z3, z4, t), bez2(z2, z3, z4, t), mix(z3, z4, t), z4]; + return [bez3(z1, z2, z3, z4, t), bez2(z2, z3, z4, t), bez1(z3, z4, t), z4]; } function splitAtExtrema(z1, z2, z3, z4, curve) { const ts = fineAllExtrema(z1, z2, z3, z4); @@ -109,41 +111,33 @@ function veryClose(z1, z2) { return (z1.x - z2.x) * (z1.x - z2.x) + (z1.y - z2.y) * (z1.y - z2.y) <= SMALL; } -function splitCurve(sourceCurve) { +function toSpansForm(sourceCurve, fSplit) { const curve = [sourceCurve[0]]; let last = sourceCurve[0]; for (let j = 1; j < sourceCurve.length; j++) { if (sourceCurve[j].on) { const z1 = last, z4 = sourceCurve[j]; - // const z2 = mix(z1, z4, 1 / 3); - //const z3 = mix(z1, z4, 2 / 3); if (!veryClose(z1, z4)) { curve.push(z4); - // splitAtExtrema(z1, z2, z3, z4, ANGLES, curve); last = z4; } } else if (sourceCurve[j].cubic) { const z1 = last, z2 = sourceCurve[j], - z3 = sourceCurve[j + 1], - z4 = sourceCurve[j + 2]; + z3 = sourceCurve[(j + 1) % sourceCurve.length], + z4 = sourceCurve[(j + 2) % sourceCurve.length]; if (!(veryClose(z1, z2) && veryClose(z2, z3) && veryClose(z3, z4))) { - splitAtExtrema(z1, z2, z3, z4, curve); + if (fSplit) { + splitAtExtrema(z1, z2, z3, z4, curve); + } else { + curve.push(z2, z3, z4); + } last = z4; } j += 2; } else { - const z1 = last, - zm = sourceCurve[j], - z4 = sourceCurve[j + 1]; - if (!(veryClose(z1, zm) && veryClose(zm, z4))) { - const z2 = mix(zm, z1, 1 / 3); - const z3 = mix(zm, z4, 1 / 3); - splitAtExtrema(z1, z2, z3, z4, curve); - last = z4; - } - j += 1; + throw new Error("Unreachable."); } } return curve; @@ -157,35 +151,47 @@ function dot(z1, z2, z3) { } function markCorners(curve) { + for (const z of curve) z.mark = 0; for (let j = 0; j < curve.length; j++) { if (!curve[j].on) continue; const z1 = curve[j], z0 = curve[(j - 1 + curve.length) % curve.length], z2 = curve[(j + 1) % curve.length]; - if (Math.abs(cross(z1, z0, z2)) < 1e-6) { + + const almostLinear = Math.abs(cross(z1, z0, z2)) < SMALL; + const inBetween = dot(z1, z0, z2) < 0; + if (z0.on && z2.on && almostLinear && inBetween) { + z1.mark = 0; + } else if (z0.on || z2.on) { + z1.mark = 1; + } else if (almostLinear && inBetween) { // Z0 -- Z1 -- Z2 are linear - if (!z0.on && !z2.on && dot(z1, z0, z2) < 0) { - const angle0 = Math.atan2(z2.y - z0.y, z2.x - z0.x); - const angle = Math.abs(((angle0 / Math.PI) * 2) % 1); - if ( - Math.abs(Math.abs(angle0) - Math.PI / 2) <= SMALL || - angle <= SMALL || - angle >= 1 - SMALL - ) { - z1.mark = true; // curve extremum - } - } else if (z0.on && z2.on && dot(z1, z0, z2) < 0) { - // Colinear on-knots - // Remove - } else { - z1.mark = true; // also corner + const angle = Math.abs(Math.atan2(z2.y - z0.y, z2.x - z0.x)) % Math.PI; + if (Math.abs(angle) <= SMALL || Math.abs(angle - Math.PI) <= SMALL) { + z1.mark = 4; + } else if (Math.abs(angle - Math.PI / 2) <= SMALL) { + z1.mark = 2; } } else { - z1.mark = true; // corner + z1.mark = 1; } } } +function canonicalStart(curve) { + let jm = 0, + rank = 0; + for (let j = 0; j < curve.length; j++) { + const zRank = (curve[j].on ? 1 : 0) + (2 * curve[j].mark || 0); + if (zRank > rank) { + jm = j; + rank = zRank; + } + } + + return toSpansForm(curve.slice(jm).concat(curve.slice(0, jm)), false); +} + class BezierCurveCluster { constructor(zs) { let segments = []; @@ -195,9 +201,7 @@ class BezierCurveCluster { if (zs[j].on) { const z1 = last, z4 = zs[j]; - const z2 = mix(z1, z4, 1 / 3); - const z3 = mix(z1, z4, 2 / 3); - const seg = new typoGeom.Curve.Bez3(z1, z2, z3, z4); + const seg = new typoGeom.Curve.StraightSegment(z1, z4); segments.push(seg); lengths.push(this.measureLength(seg)); last = z4; @@ -212,16 +216,7 @@ class BezierCurveCluster { last = z4; j += 2; } else { - const z1 = last, - zm = zs[j], - z4 = zs[j + 1]; - const z2 = mix(zm, z1, 1 / 3); - const z3 = mix(zm, z4, 1 / 3); - const seg = new typoGeom.Curve.Bez3(z1, z2, z3, z4); - segments.push(seg); - lengths.push(this.measureLength(seg)); - last = z4; - j += 1; + throw new Error("Unreachable."); } } @@ -281,7 +276,7 @@ class BezierCurveCluster { return det < err * err && det > -err * err; } isAlmostLinear(err) { - const N = 16; + const N = 64; let z0 = this.eval(0); let z1 = this.eval(1); for (let k = 1; k < N; k++) { @@ -292,60 +287,72 @@ class BezierCurveCluster { } } -function buildCurve(curve) { - let exitPoints = []; +const QuadBuilder = { + corner(sink, gizmo, z) { + sink.push(Transform.transformPoint(gizmo, Point.cornerFrom(z)).round(1024)); + }, + arc(sink, gizmo, arc) { + if (arc.isAlmostLinear(1 / 4)) return; + const offPoints = typoGeom.Quadify.auto(arc, 1 / 4); + if (!offPoints) return; + for (const z of offPoints) { + sink.push(Transform.transformPoint(gizmo, Point.offFrom(z)).round(1024)); + } + }, + split: false, + canonicalStart: true, + duplicateStart: true +}; + +const SpiroBuilder = { + corner(sink, gizmo, z) { + sink.push(Transform.transformPoint(gizmo, Point.cornerFrom(z))); + }, + arc(sink, gizmo, arc) { + if (arc.isAlmostLinear(1 / 4)) return; + const offPoints = curveUtil.autoCubify(arc, 1 / 4); + for (const z of offPoints) { + sink.push(Transform.transformPoint(gizmo, z)); + } + }, + split: true, + canonicalStart: false, + duplicateStart: false +}; + +function buildCurve(curve, gizmo, builder) { + let sink = []; for (let j = 0; j < curve.length; j++) { if (!curve[j].mark) continue; + builder.corner(sink, gizmo, curve[j]); + let k = j; for (; k < curve.length && (k === j || !curve[k].mark); k++); - exitPoints.push(curve[j]); const pts = curve.slice(j, k + 1); - let nPtsOffPoints = 0; - for (const z of pts) { - if (!z.on) nPtsOffPoints += 1; - } - if (nPtsOffPoints > 0) { - const curve = new BezierCurveCluster(pts); - if (curve.isAlmostLinear(1)) continue; - const offPoints = typoGeom.Quadify.auto(curve, 1 / 4); - if (!offPoints) continue; - for (let k = 0; k < offPoints.length; k++) { - const z = offPoints[k]; - if (k > 0) { - const z0 = offPoints[k - 1]; - exitPoints.push({ - x: (z.x + z0.x) / 2, - y: (z.y + z0.y) / 2, - on: true - }); - } - exitPoints.push({ - x: z.x, - y: z.y, - cubic: false, - on: false - }); - } - } + if (pts.length > 1) builder.arc(sink, gizmo, new BezierCurveCluster(pts)); j = k - 1; } - return exitPoints; + return sink; } -module.exports = function(sourceCurve, gizmo) { - for (let j = 0; j < sourceCurve.length; j++) { - if (!isFinite(sourceCurve[j].x)) sourceCurve[j].x = 0; - if (!isFinite(sourceCurve[j].y)) sourceCurve[j].y = 0; - sourceCurve[j] = Transform.unTransform(gizmo, sourceCurve[j]); +function fairifyImpl(sourceCubicContour, gizmo, builder) { + for (let j = 0; j < sourceCubicContour.length; j++) { + if (!isFinite(sourceCubicContour[j].x)) sourceCubicContour[j].x = 0; + if (!isFinite(sourceCubicContour[j].y)) sourceCubicContour[j].y = 0; + sourceCubicContour[j] = Transform.unTransform(gizmo, sourceCubicContour[j]); } - const curve = splitCurve(sourceCurve); - markCorners(curve); - const builtCurve = buildCurve(curve); - const ans = []; - for (let j = 0; j < builtCurve.length; j++) { - if (builtCurve[j] && !builtCurve[j].remove) { - ans.push(Transform.transformPoint(gizmo, builtCurve[j])); - } + let splitContour = toSpansForm(sourceCubicContour, builder.split); + markCorners(splitContour); + if (builder.canonicalStart) { + splitContour = canonicalStart(splitContour); + markCorners(splitContour); } - return ans; + return buildCurve(splitContour, gizmo, builder); +} + +exports.fairifyQuad = function(sourceCubicContour, gizmo) { + return fairifyImpl(sourceCubicContour, gizmo, QuadBuilder); +}; +exports.fairifySpiro = function(sourceCubicContour, gizmo) { + return fairifyImpl(sourceCubicContour, gizmo, SpiroBuilder); }; diff --git a/support/point.ptl b/support/point.ptl index b8917689d..c94f9b4f4 100644 --- a/support/point.ptl +++ b/support/point.ptl @@ -6,6 +6,41 @@ export all : class Point this.cubic = cubic || false this.subdivided = subdivided || false + public [add z2] : new Point + this.x + z2.x + this.y + z2.y + * this.on + * this.cubic + * this.subdivided + + public [addScale scale z2] : new Point + this.x + scale * z2.x + this.y + scale * z2.y + * this.on + * this.cubic + * this.subdivided + + public [mix scale z2] : new Point + this.x + scale * (z2.x - this.x) + this.y + scale * (z2.y - this.y) + * this.on + * this.cubic + * this.subdivided + + public [scale t] : new Point + t * this.x + t * this.y + * this.on + * this.cubic + * this.subdivided + + public [round d] : new Point + [Math.round (this.x * d)] / d + [Math.round (this.y * d)] / d + * this.on + * this.cubic + * this.subdivided + static [from z on cubic subdivided] : new Point * z.x * z.y diff --git a/support/regulate-glyph.js b/support/regulate-glyph.js index 15fb4b723..30f183a4f 100644 --- a/support/regulate-glyph.js +++ b/support/regulate-glyph.js @@ -4,6 +4,8 @@ const Glyph = require("./glyph"); const autoRef = require("./autoref"); const caryllShapeOps = require("caryll-shapeops"); const curveUtil = require("./curve-util"); +const { fairifyQuad } = require("./fairify"); +const Transform = require("./transform"); function regulateGlyph(g, skew) { if (!g.contours) return; @@ -13,31 +15,11 @@ function regulateGlyph(g, skew) { const contour = g.contours[k]; for (let p = 0; p < contour.length; p++) { contour[p].x += contour[p].y * skew; - if (!contour[p].on) continue; - contour[p].x = Math.round(contour[p].x); - } - let offJ = null, - mx = null; - for (let p = 0; p < contour.length; p++) { - if (!contour[p].on) continue; - if (offJ) { - const origX = contour[p].x; - const rx = Math.round(contour[p].x * 4) / 4; - const origX0 = mx; - const rx0 = contour[offJ - 1].x; - if (origX === origX0) continue; - for (let pOff = offJ; pOff < p; pOff++) { - contour[pOff].x = - ((contour[pOff].x - origX0) / (origX - origX0)) * (rx - rx0) + rx0; - } - } - mx = contour[p].x; - contour[p].x = Math.round(contour[p].x * 4) / 4; - offJ = p + 1; } } g.contours = simplifyContours(g.contours); + for (let k = 0; k < g.contours.length; k++) { const contour = g.contours[k]; for (let p = 0; p < contour.length; p++) { @@ -47,16 +29,17 @@ function regulateGlyph(g, skew) { } function simplifyContours(contours) { + const gizmo = Transform.Id(); const source = []; for (const contour of contours) { if (contour.length > 2) source.push(curveUtil.convertContourToCubic(contour)); } - const simplified = curveUtil.convertContourListToTt( - caryllShapeOps.removeOverlap(source, 1, 1 << 17, true) - ); + const simplified = caryllShapeOps.removeOverlap(source, 1, 1 << 17, true); + const result = []; for (const contour of simplified) { - if (contour.length > 2) result.push(contour); + if (contour.length <= 2) continue; + result.push(curveUtil.cleanupQuadContour(fairifyQuad(contour, gizmo))); } return result; } diff --git a/support/spirokit.ptl b/support/spirokit.ptl index dbfcf8e6d..aa7444bf0 100644 --- a/support/spirokit.ptl +++ b/support/spirokit.ptl @@ -1,6 +1,6 @@ import 'spiro' as SpiroJs import './spiroexpand' as SpiroExpansionContext -import './fairify' as fairify +import [fairifySpiro] from './fairify' import 'caryll-shapeops' as ShapeOps import './curve-util' as CurveUtil @@ -190,7 +190,7 @@ export : define [SetupBuilders args] : begin lhs.0.type = rhs.0.type = lhs.(lhs.length - 1).type = rhs.(rhs.length - 1).type = 'corner' SpiroJs.spiroToBezierOnContext [lhs.concat : rhs.reverse] true g QUAD PRECISION foreach [j : range 0 g.contours.length] : begin - set g.contours.(j) : fairify g.contours.(j) globalTransform + set g.contours.(j) : fairifySpiro g.contours.(j) globalTransform set g.knots knots set g.lhsKnots lhs set g.rhsKnots rhs @@ -204,7 +204,7 @@ export : define [SetupBuilders args] : begin SpiroJs.spiroToBezierOnContext knots closed g QUAD PRECISION foreach af [items-of lastafs] : if af : af.call g foreach [j : range 0 g.contours.length] : begin - set g.contours.(j) : fairify g.contours.(j) (g.fairGizmo || g.gizmo) + set g.contours.(j) : fairifySpiro g.contours.(j) (g.fairGizmo || g.gizmo) if [not dontinc] : this.include g return g diff --git a/variants.toml b/variants.toml index 320f9fb26..79932c4f9 100644 --- a/variants.toml +++ b/variants.toml @@ -357,6 +357,12 @@ sampler = '0' description = 'O-like `0`' zero = 'unslashed' +[simple.v-zero-reverse-slashed] +tag = 'cv93' +sampler = '0' +description = 'Reverse-slashed `0`' +zero = 'reverse-slashed' + [simple.v-one-nobase] tag = "cv50" sampler = '1'
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