Add (#2452)

- MATHEMATICAL FRAKTUR CAPITAL B (`U+1D505`).
  - MATHEMATICAL FRAKTUR CAPITAL M (`U+1D510`).
  - MATHEMATICAL FRAKTUR CAPITAL N (`U+1D511`).
  - MATHEMATICAL FRAKTUR CAPITAL P (`U+1D513`).
  - MATHEMATICAL FRAKTUR CAPITAL V (`U+1D519`).
  - MATHEMATICAL FRAKTUR CAPITAL W (`U+1D51A`).

changes/31.1.0.md

@@ -1,7 +1,3 @@
-* Add separate variant selectors for Cyrillic Capital En/Er (`VXAA`, `VXAB`).
-* Add variant selectors for Greek lower Beta/Gamma/Nu/Upsilon (`VXAC`, `VXAD`, `VXAE`, `VXAF`).
-* Optimize glyph for VERTICAL LINE WITH MIDDLE DOT (`U+2327`).
-* Improve `k` (`cv46`) and `x` (`cv58`) variants used by `ss03`, `ss08`, `ss09`, `ss10`, `ss12`, `ss14`, and `ss18` under slab italic.
 * Add characters:
   - BLACK-LETTER CAPITAL H (`U+210C`) (#714).
   - BLACK-LETTER CAPITAL I (`U+2111`) (#714).
@@ -12,9 +8,19 @@
   - LATIN SMALL LETTER BLACKLETTER O (`U+AB3D`) (#2443).
   - LATIN SMALL LETTER BLACKLETTER O WITH STROKE (`U+AB3E`) (#2443).
   - MATHEMATICAL FRAKTUR CAPITAL A (`U+1D504`) (#444).
+  - MATHEMATICAL FRAKTUR CAPITAL B (`U+1D505`) (#444).
   - MATHEMATICAL FRAKTUR CAPITAL E (`U+1D508`) (#444).
   - MATHEMATICAL FRAKTUR CAPITAL G (`U+1D50A`) (#444).
   - MATHEMATICAL FRAKTUR CAPITAL J (`U+1D50D`) (#444).
   - MATHEMATICAL FRAKTUR CAPITAL K (`U+1D50E`) (#444).
+  - MATHEMATICAL FRAKTUR CAPITAL M (`U+1D510`) (#444).
+  - MATHEMATICAL FRAKTUR CAPITAL N (`U+1D511`) (#444).
+  - MATHEMATICAL FRAKTUR CAPITAL P (`U+1D513`) (#444).
+  - MATHEMATICAL FRAKTUR CAPITAL V (`U+1D519`) (#444).
+  - MATHEMATICAL FRAKTUR CAPITAL W (`U+1D51A`) (#444).
   - MATHEMATICAL FRAKTUR SMALL E (`U+1D522`) (#444).
   - MATHEMATICAL FRAKTUR SMALL O (`U+1D52C`) (#444).
+* Add separate variant selectors for Cyrillic Capital En/Er (`VXAA`, `VXAB`).
+* Add variant selectors for Greek lower Beta/Gamma/Nu/Upsilon (`VXAC`, `VXAD`, `VXAE`, `VXAF`).
+* Optimize glyph for VERTICAL LINE WITH MIDDLE DOT (`U+2327`).
+* Improve `k` (`cv46`) and `x` (`cv58`) variants used by `ss03`, `ss08`, `ss09`, `ss10`, `ss12`, `ss14`, and `ss18` under slab italic.

packages/font-glyphs/src/letter-like/fraktur.ptl

@@ -5,9 +5,11 @@ export : define [apply] : begin
 	run-glyph-module "./fraktur/common.mjs"
 
 	run-glyph-module "./fraktur/upper-a.mjs"
+	run-glyph-module "./fraktur/upper-bvw.mjs"
 	run-glyph-module "./fraktur/upper-ceg.mjs"
 	run-glyph-module "./fraktur/upper-hkr.mjs"
 	run-glyph-module "./fraktur/upper-ij.mjs"
+	run-glyph-module "./fraktur/upper-mnp.mjs"
 	run-glyph-module "./fraktur/upper-z.mjs"
 
 	run-glyph-module "./fraktur/lower-e.mjs"

packages/font-glyphs/src/letter-like/fraktur/common.ptl

@@ -37,10 +37,9 @@ glyph-block LetterLike-Fraktur-Common : begin
 		public [new profile knots] : begin
 			this.profile = profile
 			this.knots   = knots
-
 		public [applyToGlyph glyph] : begin
 			local defaultProfile : this.profile.getPenShape glyph.gizmo
-			local collector : new PenKnotCollector glyph.gizmo defaultProfile
+			local collector : new PenKnotCollector glyph.gizmo defaultProfile this.profile.fixed
 			local c : spiro-collect collector this.knots
 
 			local proxy : new FrakturProxy glyph.gizmo defaultProfile collector
@@ -56,6 +55,7 @@ glyph-block LetterLike-Fraktur-Common : begin
 	# simplify the math.
 	class FrakturProfile
 		public [new thick thin] : begin
+			this.fixed = false
 			# .thick is the half length of the flat tip, projected to the X/Y axis
 			this.thick = 0.25 * [Math.sqrt 2] * thick
 			# .thin is the half width of the thin tip, projected to the X/Y axis
@@ -92,15 +92,30 @@ glyph-block LetterLike-Fraktur-Common : begin
 	define frakThick : 1.0 * Stroke
 	define frakFine  : 1.0 * [AdviceStroke 4] # For decoration
 
+	class MaskingProfile
+		public [new dx dy] : begin
+			this.fixed = true
+			this.dx = dx
+			this.dy = dy
+		public [getPenShape gizmo] : begin
+			local tf : gizmo.applyOffsetXY this.dx this.dy
+			list [new Vec2 0 0] [new Vec2 tf.x tf.y]
+
 	glyph-block-export S
 	define S : new FrakturProfile frakThick (0.875 * frakThin)
 
+	glyph-block-export M
+	define M : new FrakturProfile [AdviceStroke 3 para.diversityM] (0.875 * frakThin)
+
 	glyph-block-export F
 	define F : new FrakturProfile frakFine (0.875 * frakThin)
 
 	glyph-block-export T
 	define T : new FrakturProfile frakThin (0.875 * frakThin)
 
+	glyph-block-export CutMaskLeft
+	define CutMaskLeft : new MaskingProfile (-VERY-FAR) 0
+
 	# Key metrics
 	glyph-block-export DecoSizeX DecoSizeY FHook Wave.DepthY Wave.DepthX LbFootRise
 	define DecoSizeX  : 0.15 * (RightSB - SB)
@@ -117,19 +132,32 @@ glyph-block LetterLike-Fraktur-Common : begin
 	define Wave : namespace
 		export : define DepthY : 0.4 * SHook   - 0.25  * S.thick
 		export : define DepthX : 1 * DecoSizeX
+		export : define LTDecoSize : 0.75 * DecoSizeX
 
-		export : define [vc waveDepth] : Interpolator vcWaveBlender [object waveDepth]
+		export : define [h] : Interpolator hBlender
-		define [vcWaveBlender before after args] : begin
+		define [hBlender before after] : begin
+			return : list
+				g2 [mix before.x after.x 0.375]  after.y
+				g2 [mix before.x after.x 0.625]  before.y
+
+		export : define [vc waveDepth] : Interpolator vcBlender [object waveDepth]
+		define [vcBlender before after args] : begin
 			local [object waveDepth] args
 			return : list
 				g2 (before.x + 0.5 * waveDepth) [mix before.y after.y 0.375]
 				g2 (after.x - 0.5 * waveDepth)  [mix before.y after.y 0.625]
 
-		export : define [h] : Interpolator hWaveBlender [object h]
+		export : define [v] : Interpolator vBlender
-		define [hWaveBlender before after] : begin
+		define [vBlender before after] : begin
 			return : list
-				g2 [mix before.x after.x 0.375]  after.y
+				g2 after.x  [mix before.y after.y 0.375]
-				g2 [mix before.x after.x 0.625]  before.y
+				g2 before.x [mix before.y after.y 0.625]
+
+		export : define [vDistAfter d] : Interpolator vDistAfterBlender [object d]
+		define [vDistAfterBlender before after args] : begin
+			return : list
+				g2 after.x  [mix before.y after.y 0.375]
+				g2 (after.x - args.d) [mix before.y after.y 0.625]
 
 	glyph-block-export PHexTop
 	define PHexTop : 0.5 + 0.5 * ([Math.max DecoSizeX frakThin] / (RightSB - SB))

packages/font-glyphs/src/letter-like/fraktur/upper-bvw.ptl

@@ -0,0 +1,135 @@
+$$include '../../meta/macros.ptl'
+
+import [mix fallback] from "@iosevka/util"
+
+glyph-module
+
+glyph-block LetterLike-Fraktur-Upper-BVW : begin
+	glyph-block-import Common-Derivatives
+	glyph-block-import CommonShapes
+	glyph-block-import LetterLike-Fraktur-Common : FrakDf S M F fraktur-stroke change-profile
+	glyph-block-import LetterLike-Fraktur-Common : DecoSizeX DecoSizeY SlopeA SlopeB
+	glyph-block-import LetterLike-Fraktur-Common : Wave LbFootRise FHook PHexTop PHexBot
+	glyph-block-import LetterLike-Fraktur-Common : CutMaskLeft
+
+	define [deriveBoxes box] : begin
+		local body : box.padLeft (+1.50 * DecoSizeX)
+		local deco : box.padLeft (-0.25 * DecoSizeX)
+		return { body deco }
+
+	define [StartStroke mode box profile pRight] : glyph-proc
+		local { body deco } : deriveBoxes box
+
+		local [knots] : list
+			g2.ru.start (post@) ([deco.yp 0.625] - 2 * F.thick) [change-profile F]
+			~~~ [Wave.vc Wave.LTDecoSize]
+			g2.ru.mid deco.left (post@ <-> DecoSizeY) [change-profile M]
+			arch.rhs (sw -- S.thick) (blendPre -- null) deco.top 0.4
+			match mode
+				[Just "P"] : list
+					flat body.left [mix@ 0.375]
+					virt pre@      body.bot
+					curl body.left Descender
+				_ : list
+					straight.down.mid body.left [mix@ 0.375]
+					corner deco.left [post@slope SlopeB]
+					virt   [body.xp : pRight * PHexBot] body.bot
+
+		local s : include : fraktur-stroke profile [knots]
+		return : object
+			lbKnot : s.last
+			maskLeft : function [] : fraktur-stroke CutMaskLeft [knots]
+
+	create-glyph 'frak/B' 0x1D505 : glyph-proc
+		local df : include : FrakDf 1
+		include : df.markSet.capital
+
+		local box : S.box CAP 0 df.leftSB df.rightSB
+		local { body deco } : deriveBoxes box
+
+		local leftStroke : include : StartStroke 'B' box S 1
+		local rightStroke : include : difference
+			union
+				fraktur-stroke S
+					corner leftStroke.lbKnot.x leftStroke.lbKnot.y
+					corner [body.xp PHexBot] body.bot
+					decor@ : g2.up.mid body.right [mix@ 0.5]
+					corner [body.xp 0.625] [body.yp 0.55]
+				fraktur-stroke S
+					corner deco.left [post@slope SlopeA]
+					corner [body.xp PHexTop] body.top
+					decor@ : g2.down.mid body.right [mix@ 0.5]
+					corner [body.xp 0.625] [body.yp 0.55]
+					corner deco.left [pre@slope : 0.5 * SlopeA]
+			leftStroke.maskLeft
+
+	create-glyph 'frak/P' 0x1D513 : glyph-proc
+		local df : include : FrakDf 1
+		include : df.markSet.capDesc
+
+		local box : S.box CAP 0 df.leftSB df.rightSB
+		local { body deco } : deriveBoxes box
+
+		local leftStroke : include : StartStroke "P" box S 1
+
+		local rightStroke : include : difference
+			fraktur-stroke S
+				g2 deco.left (post@ <+> Wave.DepthY)
+				~~~ [g2 [deco.xp 0.21] (pre@ <+> Wave.DepthY)]
+				g2 [deco.xp 0.625] body.bottom
+				~~~ [Wave.vDistAfter : 1.5 * Wave.DepthX]
+				[g2c.sr SlopeA].end (body.right + 0.25 * DecoSizeX) ([body.yp 0.75] + S.thick)
+				~~~ [curl [pre@tang-in 1] [pre@tang-in SlopeB]]
+				g2 (pre@ <-> Wave.DepthX) [mix@ 0.5]
+				arch.rhs (sw -- S.thick) (blendPre -- {}) body.top
+				corner (body.left - S.thick) (pre@ <-> ArchDepthA)
+			intersection [leftStroke.maskLeft] [MaskAbove body.yMid]
+
+	create-glyph 'frak/V' 0x1D519 : glyph-proc
+		local df : include : FrakDf 1
+		include : df.markSet.capital
+
+		local box : S.box CAP 0 df.leftSB df.rightSB
+		local { body deco } : deriveBoxes box
+
+		local leftStroke : include : StartStroke 'V' box S 1
+		local rightStroke : include : difference
+			fraktur-stroke S
+				corner leftStroke.lbKnot.x leftStroke.lbKnot.y
+				[cg2.sr SlopeA].start [body.xp PHexBot] body.bottom
+				~~~ [Wave.vDistAfter : 1.5 * Wave.DepthX]
+				[g2c.sr SlopeA].end (body.right + 0.25 * DecoSizeX) ([body.yp 0.75] + S.thick)
+				~~~ [curl [pre@tang-in 1] [pre@tang-in SlopeB]]
+				g2 (pre@ <-> Wave.DepthX) [mix@ 0.5]
+				arch.rhs (sw -- S.thick) (blendPre -- {}) body.top
+				corner (body.left - S.thick) (pre@ <-> ArchDepthA)
+			leftStroke.maskLeft
+
+	create-glyph 'frak/W' 0x1D51A : glyph-proc
+		local df : include : FrakDf para.diversityM 3
+		include : df.markSet.capital
+
+		local box : M.box CAP 0 df.leftSB df.rightSB
+		local { body deco } : deriveBoxes box
+
+		local leftStroke : include : StartStroke 'W' box M 0.5 1
+
+		local rightStroke : include : fraktur-stroke M
+			corner leftStroke.lbKnot.x leftStroke.lbKnot.y
+			corner [deco.xp : 0.5 * PHexBot] box.bottom
+			corner deco.xMid [post@slope SlopeB]
+			[cg2.sr SlopeA].start [deco.xp : mix 0.5 1 PHexBot] body.bot
+			~~~ [Wave.vDistAfter : 0.75 * Wave.DepthX]
+			[g2c.sr SlopeA].end (body.right + 0.5 * DecoSizeX) ([body.yp 0.75] + S.thick)
+			~~~ [curl [pre@tang-in 1] [pre@tang-in SlopeB]]
+			g2 (pre@ <-> 0.75 * Wave.DepthX) [mix@ 0.5]
+			arch.rhs (sw -- M.thick) (blendPre -- {}) body.top
+			corner body.xMid (body.top - 0.5 * Wave.DepthY)
+			~~~ [arch.rhs (sw -- M.thick) (blendPre -- {}) (blendPost -- {}) body.top]
+			corner body.left pre@
+
+		local middleStroke : include : fraktur-stroke M
+			virt [deco.xp : mix 0.5 1 PHexBot] body.bot
+			corner deco.xMid [pre@slope SlopeB]
+			~~~ [Wave.vDistAfter : 0.375 * Wave.DepthX]
+			corner body.xMid (body.top - 0.5 * Wave.DepthY)

packages/font-glyphs/src/letter-like/fraktur/upper-hkr.ptl

@@ -92,7 +92,7 @@ glyph-block LetterLike-Fraktur-Upper-HKR : begin
 		# Left stroke
 		include : fraktur-stroke F
 			g2.ru.start    post@                  ([rDeco.yp 0.625] - 2 * F.thick)
-			~~~ [Wave.vc Wave.DepthX]
+			~~~ [Wave.vc Wave.LTDecoSize]
 			g2.ru.mid      rDeco.left             (post@ <-> DecoSizeY)  [change-profile S]
 			arch.rhs (blendPre -- {})             rBody.top 0.625
 			flat           rBody.left             (pre@ <-> 0.6 * ArchDepthA)

packages/font-glyphs/src/letter-like/fraktur/upper-mnp.ptl

@@ -0,0 +1,86 @@
+$$include '../../meta/macros.ptl'
+
+import [mix fallback] from "@iosevka/util"
+
+glyph-module
+
+glyph-block LetterLike-Fraktur-Upper-MNP : begin
+	glyph-block-import Common-Derivatives
+	glyph-block-import CommonShapes
+	glyph-block-import LetterLike-Fraktur-Common : FrakDf S M F T fraktur-stroke change-profile
+	glyph-block-import LetterLike-Fraktur-Common : DecoSizeX DecoSizeY SlopeA SlopeB CutMaskLeft
+	glyph-block-import LetterLike-Fraktur-Common : Wave LbFootRise FHook PHexTop PHexBot
+
+	define [deriveBoxes box] : begin
+		local body : box.padLeft (+1.50 * DecoSizeX)
+		local deco : box.padLeft (-0.25 * DecoSizeX)
+		return { body deco }
+
+	define [LeftStroke box profile] : glyph-proc
+		local { body deco } : deriveBoxes box
+
+		local [knots] : list
+			g2.ru.start (post@) ([deco.yp 0.625] - 2 * F.thick) [change-profile F]
+			~~~ [Wave.vc Wave.LTDecoSize]
+			g2.ru.mid deco.left (post@ <-> DecoSizeY) [change-profile profile]
+			arch.rhs (sw -- profile.thick) (blendPre -- null) deco.top 0.4
+			flat body.left (pre@ <-> ArchDepthA)
+			curl pre@      (post@ <+> ArchDepthB)
+			corner (deco.left + 0.5 * DecoSizeX) deco.bot
+			corner (pre@ <-> DecoSizeX) (pre@ <+> DecoSizeY)
+
+		local s : include : fraktur-stroke profile [knots]
+
+		return : object
+			maskLeft : function [] : fraktur-stroke CutMaskLeft [knots]
+
+
+	create-glyph 'frak/M' 0x1D510 : glyph-proc
+		local df : include : FrakDf para.diversityM 3
+		include : df.markSet.capital
+
+		local box : M.box CAP 0 df.leftSB df.rightSB
+		local { body deco } : deriveBoxes box
+
+		local leftStroke : include : LeftStroke box M
+
+		local rightStroke : include : fraktur-stroke M
+			corner (post@ <+> DecoSizeX) (post@ <+> DecoSizeY)
+			corner (body.right + 0.25 * DecoSizeX) body.bottom
+			~~~ [straight.up.mid (pre@ <-> Wave.DepthX) [mix@ 0.5]]
+			corner (pre@ <+> 0.25 * DecoSizeX) ([body.yp 0.75] + S.thick)
+			~~~ [curl [pre@tang-in 1] [pre@tang-in SlopeB]]
+			g2 (pre@ <-> 0.75 * Wave.DepthX) [mix@ 0.5]
+			arch.rhs (sw -- M.thick) (blendPre -- {}) body.top
+			corner (body.xMid - 0.25 * Wave.DepthX) (body.top - 0.5 * Wave.DepthY)
+			~~~ [arch.rhs (sw -- M.thick) (blendPre -- {}) (blendPost -- {}) body.top]
+			corner body.left pre@
+
+		local middleStroke : include : fraktur-stroke M
+			corner (post@ <-> DecoSizeX) (post@ <+> DecoSizeY)
+			corner deco.xMid deco.bot
+			flat post@     [mix@ 0.5]
+			# flat   post@ (pre@ <+> ArchDepthB)
+			flat post@     ([body.yp 0.75] + S.thick)
+			curl (body.xMid - 0.25 * Wave.DepthX) (body.top - 0.5 * Wave.DepthY)
+
+	create-glyph 'frak/N' 0x1D511 : glyph-proc
+		local df : include : FrakDf 1
+		include : df.markSet.capital
+
+		local box : S.box CAP 0 df.leftSB df.rightSB
+		local { body deco } : deriveBoxes box
+
+		local leftStroke : include : LeftStroke box S
+
+		local rightStroke : include : difference
+			fraktur-stroke S
+				corner (post@ <+> DecoSizeX) (post@ <+> DecoSizeY)
+				corner (body.right + 0.25 * DecoSizeX) body.bottom
+				~~~ [straight.up.mid (pre@ <-> Wave.DepthX) [mix@ 0.5]]
+				corner pre@ ([body.yp 0.75] + S.thick)
+				~~~ [curl [pre@tang-in 1] [pre@tang-in SlopeB]]
+				g2 (pre@ <-> Wave.DepthX) [mix@ 0.5]
+				arch.rhs (sw -- S.thick) (blendPre -- {}) body.top
+				corner (body.left - S.thick) (pre@ <-> ArchDepthA)
+			leftStroke.maskLeft

packages/geometry/src/spiro-pen-expand.mjs

@@ -6,11 +6,12 @@ import { Point } from "./point.mjs";
 import { MonoKnot } from "./spiro-to-outline.mjs";
 
 export class PenKnotCollector {
-	constructor(gizmo, defaultProfile) {
+	constructor(gizmo, defaultProfile, fProfileFixed) {
 		this.gizmo = gizmo;
 		this.m_profile = defaultProfile;
 		this.m_lastKnot = null;
 		this.m_finished = false;
+		this.m_profileFixed = fProfileFixed;
 
 		this.knots = [];
 		this.closed = false;
@@ -35,6 +36,7 @@ export class PenKnotCollector {
 	setContrast() {}
 
 	setProfile(profile) {
+		if (this.m_profileFixed) return;
 		if (profile.length !== this.m_profile.length)
 			throw new Error("Pen profile length mismatch");
 		if (this.m_lastKnot) this.m_lastKnot.profile = profile;