From 4a6d813de08e30702b30d2cabef35613c1088be8 Mon Sep 17 00:00:00 2001 From: Phil Elson Date: Tue, 26 May 2026 07:30:05 +0200 Subject: [PATCH 01/10] Add missing characters from dummy-index's adaptation, and adapt the z weight. --- xkcd-script/font/xkcd-script.otf | Bin 567220 -> 620160 bytes xkcd-script/font/xkcd-script.sfd | 1927 +++++++++++------ xkcd-script/font/xkcd-script.ttf | Bin 189384 -> 192964 bytes xkcd-script/font/xkcd-script.woff | Bin 195244 -> 197912 bytes xkcd-script/generator/pt5_svg_to_font.py | 17 + xkcd-script/generator/pt6_derived_chars.py | 151 ++ xkcd-script/samples/charmap_basic_latin.png | Bin 50661 -> 50630 bytes .../samples/charmap_general_punctuation.png | Bin 29776 -> 29748 bytes .../samples/charmap_latin_1_supplement.png | Bin 43838 -> 44361 bytes .../samples/charmap_latin_extended_a.png | Bin 71412 -> 71773 bytes .../charmap_latin_extended_additional.png | Bin 60604 -> 60587 bytes .../samples/charmap_latin_extended_b.png | Bin 48490 -> 64336 bytes .../charmap_spacing_modifier_letters.png | Bin 0 -> 25004 bytes xkcd-script/samples/gen_charmap.py | 1 + xkcd-script/samples/handwriting.png | Bin 35660 -> 35643 bytes xkcd-script/samples/kerning.png | Bin 143586 -> 143094 bytes 16 files changed, 1396 insertions(+), 700 deletions(-) create mode 100644 xkcd-script/samples/charmap_spacing_modifier_letters.png diff --git a/xkcd-script/font/xkcd-script.otf b/xkcd-script/font/xkcd-script.otf index 8c38b4e896b87d149dae9b1005d751f934a705f5..d5cfc5fb54aeede533875b2ddf6021564c0877e5 100644 GIT binary patch delta 59998 zcmdpf2Urx>8uoY2&US1d2r7t*4Y6a34UJu+*o_r??TI+1=ThGc)_X-+R7tvh`%Xz{dsT#?6~Irc4w_ zD)Rrnc5P2lul+Tm%&kc`*|m1<=07xOzV-p>A_o#t?m9JV)y|Y7^Gm!A!RtnK{2Mp( zU-|4jUSA?Qcco6V7B$4CHol;HD$`jaDS$|S zwr96aWx5{m_HK<2aR4gU6Yr=)rC59+J6?PB>^F48;is?Fr0?g7FZAr!X~aO@ZN?Ta z$IKP*xhFCFMSI?1=hPYZJh-Hd)Ugto8WZ^w?}pDLwm7mTE5bxnek!-s4LM*d6OE&#w3@clWqL~QS$S5M$!t11#4fS>>;)4%7caug z^R|39Kg=&j#!6j^E~S<93&qe?dQO5>Wc9KCL3W&7Vb9nr?#c^W_TR-1@$->2)TLO~ 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literal 0 HcmV?d00001 diff --git a/xkcd-script/samples/gen_charmap.py b/xkcd-script/samples/gen_charmap.py index d89f368..207e589 100644 --- a/xkcd-script/samples/gen_charmap.py +++ b/xkcd-script/samples/gen_charmap.py @@ -43,6 +43,7 @@ (0x00A0, 0x0100, "Latin-1 Supplement"), (0x0100, 0x0180, "Latin Extended-A"), (0x0180, 0x0250, "Latin Extended-B"), + (0x02B0, 0x0300, "Spacing Modifier Letters"), (0x0300, 0x0370, "Combining Diacritical Marks"), (0x0370, 0x0400, "Greek and Coptic"), (0x1E00, 0x1F00, "Latin Extended Additional"), diff --git a/xkcd-script/samples/handwriting.png b/xkcd-script/samples/handwriting.png index 3448f38dfa6742b0141cf508c6400475fbb10129..e5409fb3bb20d5fcc0e9551cc0d6b3836c8321e8 100644 GIT binary patch delta 34015 zcmZs?Wmp|e(=ChyNN@-eJZ#+EAwYr?+&u)}xH|*EJ=n%wHx}GAxVu|$hv30Ka^LUs zyysl!`#aOqU2D~WVyz_);aFYl?pAR@5v!dr<| zieoA5e^+mE+#@LPY$cOF_C9IkfJbG&TU|?R9^)67T{T;oy65{qUX(>2`Z1~=UKGKE zA#Q?)IIe?-DW(DeD6TMnxSDO*T*RW|FCRft!=e`=44!7V;r2O?e3<0GdAL3fGn$VP 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zEP^8OOVmyKE$XIuebSoA$fFagu%RX+X=QqA6fBUI|mPgysHV-b*bU;QcT8ol0@{Uz&4d_f8!#tyAzdV315=>QWE z`{ny4g4!ePRzn%^<<1vSRO4Swo2wVbBwU|1E6 z+wyN!cT?Qp$!qw`VbEY4YK`=dv^%6gGEf>&y;m&tjYd!F)!zC~Pw27Bs*_gUzNOA5 zQ@rz|UcE?!V;&=)v%-YvX;^Bi;qzh@4O+1Pc_UqkdmvCCBq3XoHL)snJg9u=hvo^~(Nr-mK8s>{Md-y&VZXG`@zdT%ft6cb*McF5tQ5&>BD8`XtqP?&|!~ z-3>*`csz;Uqs4}wafN5Uqk&_~^b=U{>8>*7$=JmqZ^$m=!rf?+?-@9OG2IBGa zGCAn|ij%c$w8|ux#uWK5X>GS={%4W#KJ^Wd{N-JDHabbIblDPK9csM%*L|!or@$>= z6Gk-`wMV6vPELoO%<9jwTlpmQ5}4o3HbVCk`)(T(rN=pkc*iNKvCbn4H)f>myK=Ai z1~__pZmBu@q$3tPR>YMR?9%41+iyEM?#T5GZ1+SY$HXpa@&{jGicWH$kvpT`!Z5Dj zS-UvfYMI%KXy+)oKL~d%D&?!Z^RiyLtd?~xr8c$yezT(POG75~hWCu&_L}hn*5=}` zkfnu1u{VI({dGnlz{SLfW&l*7mODuLQ(1S&ekY^S(TBm-K>QF=RXhN9+6o}P0K+l- z(i@A0QNY9h4KT6ClioiHQULNJPCw&BjrkQeIh!1%{RXu=B168-XN8MhyioJN;uTQeJ*xK>DHj%D zH+D1VHF8)W?oNJ_k9lQYTE{uN>Bj>p#)!!6dm49}#-#ej(|qlhC)sD=CtfhCCa+?H|9cd`rQFmi2wd*QD;P2UTa zQ9X|Esr_@N;a6h~l=(fXKkxHxfixSp?33letu<9V-<=i*t2@$_S~axCkmpcdGi7_* zd(|8gxXf>9N}ades54_~*Y^D;(ik1Dr*O^=i_Nc%s^!&2Y52GjyR+ims27XdI?fkO zX3h8`VVZKDF{iah%I|9Uh^=N?e3tr_^R9HXslne;ZFt{){uS~V!_!m2sOvNxBcTj+ z!f)z?KO8!m%r0`uk5=lb)=MXX+MtTkcu3xjB2`%x>WV?O@3VcJ^!=kFQ;?k)_ZBo>J6x^Q&hxH2spf g&94gmx8D!v4<|OSo}Mcc00BQYRW+|+t{Ol6Kc2*lKL7v# From 01b130a13c241696b1ba86ea9000e2a8309d4376 Mon Sep 17 00:00:00 2001 From: Phil Elson Date: Sat, 2 May 2026 09:54:38 +0200 Subject: [PATCH 02/10] Fine for the surd, not fine for the line (left cap problem). --- sqrt-builder.html | 132 ++++++++++++++++++++++++++++++++++++++++++++++ sqrt.svg | 65 +++++++++++++++++++++++ 2 files changed, 197 insertions(+) create mode 100644 sqrt-builder.html create mode 100644 sqrt.svg diff --git a/sqrt-builder.html b/sqrt-builder.html new file mode 100644 index 0000000..b0e0567 --- /dev/null +++ b/sqrt-builder.html @@ -0,0 +1,132 @@ + + + + +sqrt line builder + + + +

sqrt line builder

+ + + +
+
+ + + + diff --git a/sqrt.svg b/sqrt.svg new file mode 100644 index 0000000..984ac25 --- /dev/null +++ b/sqrt.svg @@ -0,0 +1,65 @@ + + + + + + + +Created by potrace 1.16, written by Peter Selinger 2001-2019 + + + + + From 74dc38aabd4a1c27bbe6040bb61b75cf2ccd2382 Mon Sep 17 00:00:00 2001 From: Phil Elson Date: Sat, 2 May 2026 12:26:25 +0200 Subject: [PATCH 03/10] Add mathjax poc --- mathjax-demo.html | 242 ++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 242 insertions(+) create mode 100644 mathjax-demo.html diff --git a/mathjax-demo.html b/mathjax-demo.html new file mode 100644 index 0000000..0087c30 --- /dev/null +++ b/mathjax-demo.html @@ -0,0 +1,242 @@ + + + + +xkcd-script + MathJax + + + + + + + + + + + +

xkcd-script + MathJax

+

MathJax CHTML with xkcd-script substituted for letter and Greek glyphs.

+ +
+ +
+
+ + + +

Algebra

+ +

Quadratic formula: +$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$

+ +

Pythagorean theorem: $a^2 + b^2 = c^2$

+ +

Binomial theorem: +$$\sum_{k=0}^{n} \binom{n}{k} x^k y^{n-k} = (x + y)^n$$

+ +

Calculus

+ +

Definition of derivative: +$$f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}$$

+ +

Gaussian integral: +$$\int_{-\infty}^{\infty} e^{-x^2}\,dx = \sqrt{\pi}$$

+ +

Product rule: $\dfrac{d}{dx}\bigl[f(x)\,g(x)\bigr] = f'(x)\,g(x) + f(x)\,g'(x)$

+ +

Greek letters

+ +

Euler's identity: $e^{i\pi} + 1 = 0$

+ +

$\alpha,\ \beta,\ \gamma,\ \delta,\ \varepsilon,\ \zeta,\ \eta,\ + \theta,\ \iota,\ \kappa,\ \lambda,\ \mu,\ \nu,\ \xi,\ \pi,\ + \rho,\ \sigma,\ \tau,\ \upsilon,\ \phi,\ \chi,\ \psi,\ \omega$

+ +

Fourier transform: +$$\hat{f}(\xi) = \int_{-\infty}^{\infty} f(x)\,e^{-2\pi i x \xi}\,dx$$

+ +

Physics

+ +

Einstein: $E = mc^2$

+ +

Schrödinger equation: +$$i\hbar\frac{\partial\psi}{\partial t} = \hat{H}\psi$$

+ +

Maxwell in free space: +$$\nabla \cdot \mathbf{E} = 0 \qquad \nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}}{\partial t}$$

+ + + From 5595082ed201d0d612d25717a3c38ab42d2240cf Mon Sep 17 00:00:00 2001 From: Phil Elson Date: Wed, 6 May 2026 05:43:23 +0200 Subject: [PATCH 04/10] Proof-of-concept for sqrt symbol --- sqrt-vertical-demo.html | 136 ++++++++++++++++++++++++++++++++++++++++ 1 file changed, 136 insertions(+) create mode 100644 sqrt-vertical-demo.html diff --git a/sqrt-vertical-demo.html b/sqrt-vertical-demo.html new file mode 100644 index 0000000..c919aa6 --- /dev/null +++ b/sqrt-vertical-demo.html @@ -0,0 +1,136 @@ + + + + + Sqrt Vertical Stretch Demo + + + +

Sqrt Vertical Stretch Demo

+ +
+

Key extensible coordinates

+

+ Width (bar): bar forward ep 1882 and bar return ep -2091. + All x-values in each cubic (cp1, cp2, ep) scale together.
+ Height (surd): descent ep -3680 and ascent ep 3300. + All y-values in each cubic (cp1, cp2, ep) scale together. +

+
+ +
+

Width + Height

+
+ + + 0 pt +
+
+ + + 0 pt +
+
+
+
+ + + + From 14554b6ed36cfc64c9751547c924f7d81ac886a9 Mon Sep 17 00:00:00 2001 From: Phil Elson Date: Wed, 6 May 2026 07:46:31 +0200 Subject: [PATCH 05/10] Working sqrt prototype --- mathjax-demo.html | 161 +++++++++++--- run_mathjax.sh | 1 + xkcd-script/generator/gen_mathjax_font.py | 260 ++++++++++++++++++++++ xkcd-script/generator/run.sh | 2 + 4 files changed, 394 insertions(+), 30 deletions(-) create mode 100755 run_mathjax.sh create mode 100644 xkcd-script/generator/gen_mathjax_font.py diff --git a/mathjax-demo.html b/mathjax-demo.html index 0087c30..a3f80a6 100644 --- a/mathjax-demo.html +++ b/mathjax-demo.html @@ -63,25 +63,122 @@ @@ -140,6 +231,7 @@ document.fonts.load("1em 'xkcd-script-math'").then(() => { MathJax.typesetPromise().then(() => { injectFontOverride(); + replaceSqrtSymbols(); replaceVinculums(); }); }); @@ -178,6 +270,7 @@

xkcd-script + MathJax

preview.textContent = input.value; MathJax.typesetPromise([preview]).then(() => { injectFontOverride(); + replaceSqrtSymbols(preview); replaceVinculums(preview); }); } @@ -238,5 +331,13 @@

Physics

Maxwell in free space: $$\nabla \cdot \mathbf{E} = 0 \qquad \nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}}{\partial t}$$

+ +

Deeply nested sqrt fractions: +$$\sqrt{b^2 - 4ac} +\sqrt{\frac{b^2}{x}}{2a} +\sqrt{\frac{b^2}{\frac{b^2}{x}}}{2a} +\sqrt{\frac{b^2}{\frac{b^2}{\frac{b^2}{x}}}}{2a} +\sqrt{\frac{b^2}{\frac{b^2}{\frac{b^2}{\frac{b^2}{4ac}}}}}{2a}$$ +

diff --git a/run_mathjax.sh b/run_mathjax.sh new file mode 100755 index 0000000..05a4af2 --- /dev/null +++ b/run_mathjax.sh @@ -0,0 +1 @@ +docker run --rm -v /media/important/github/jupyter/xkcd-font:/work fontbuilder-test python3 /work/xkcd-script/generator/gen_mathjax_font.py diff --git a/xkcd-script/generator/gen_mathjax_font.py b/xkcd-script/generator/gen_mathjax_font.py new file mode 100644 index 0000000..84286c9 --- /dev/null +++ b/xkcd-script/generator/gen_mathjax_font.py @@ -0,0 +1,260 @@ +"""Generate xkcd-script-mathjax.woff — xkcd-script extended with: + 1. Unicode math italic/bold cmap aliases so MathJax CHTML uses it for letter glyphs. + 2. A hand-drawn U+221A (radical/sqrt) glyph from xkcd comic #2343 (surd only). + 3. A hand-drawn U+E221 (full long sqrt) glyph — the complete surd+bar shape. + +Phase A uses fontforge (for correctDirection / removeOverlap cleanup). +Phase B uses fontTools (for cmap aliasing and WOFF output). + +Run from repo root: + docker run --rm -v $(pwd):/work fontbuilder-test \\ + python3 /work/xkcd-script/generator/gen_mathjax_font.py +""" +import os +import tempfile +import fontforge +import psMat +from fontTools.ttLib import TTFont + + +FONT_IN = '/work/xkcd-script/font/xkcd-script.otf' +FONT_OUT = '/work/xkcd-script/font/xkcd-script-mathjax.woff' + + +def build_aliases(): + a = {} + + # --- Latin: italic and bold variants --- + # Math Italic Capital A–Z: U+1D434–U+1D44D + for i in range(26): + a[0x1D434 + i] = 0x0041 + i + # Math Italic Small a–z: U+1D44E–U+1D467 (U+1D455 is a Unicode hole) + for i in range(26): + src = 0x1D44E + i + if src != 0x1D455: + a[src] = 0x0061 + i + # Special TeX italic substitutes used where the standard slot is a hole + a[0x210E] = ord('h') # PLANCK CONSTANT ℎ → h + a[0x2113] = ord('l') # SCRIPT SMALL L ℓ → l + + # Math Bold Capital A–Z: U+1D400–U+1D419 + for i in range(26): + a[0x1D400 + i] = 0x0041 + i + # Math Bold Small a–z: U+1D41A–U+1D433 + for i in range(26): + a[0x1D41A + i] = 0x0061 + i + + # Math Bold Italic Capital A–Z: U+1D468–U+1D481 + for i in range(26): + a[0x1D468 + i] = 0x0041 + i + # Math Bold Italic Small a–z: U+1D482–U+1D49B + for i in range(26): + a[0x1D482 + i] = 0x0061 + i + + # Math Bold digits 0–9: U+1D7CE–U+1D7D7 + for i in range(10): + a[0x1D7CE + i] = 0x0030 + i + + # --- Greek: italic and bold variants --- + # Sequence follows the Unicode math Greek blocks exactly, including the + # capital-theta-symbol slot at position 17 (aliased back to plain theta). + GREEK_UPPER = [ + 0x0391, 0x0392, 0x0393, 0x0394, 0x0395, 0x0396, 0x0397, + 0x0398, # Θ (theta) + 0x0399, 0x039A, 0x039B, 0x039C, 0x039D, 0x039E, 0x039F, + 0x03A0, # Π + 0x03A1, # Ρ + 0x0398, # ϴ capital theta symbol → Θ + 0x03A3, # Σ (skips non-existent 03A2) + 0x03A4, 0x03A5, 0x03A6, 0x03A7, 0x03A8, + 0x03A9, # Ω + ] + GREEK_LOWER = [ + 0x03B1, 0x03B2, 0x03B3, 0x03B4, 0x03B5, 0x03B6, 0x03B7, + 0x03B8, # θ + 0x03B9, 0x03BA, 0x03BB, 0x03BC, 0x03BD, 0x03BE, 0x03BF, + 0x03C0, # π + 0x03C1, # ρ + 0x03C2, # ς (final sigma) + 0x03C3, # σ + 0x03C4, 0x03C5, 0x03C6, 0x03C7, 0x03C8, + 0x03C9, # ω + ] + + # Math Italic Capital Greek: U+1D6E2–U+1D6FA (25 chars) + for i, cp in enumerate(GREEK_UPPER): + a[0x1D6E2 + i] = cp + # Math Italic Small Greek: U+1D6FC–U+1D714 (25 chars) + for i, cp in enumerate(GREEK_LOWER): + a[0x1D6FC + i] = cp + # Math Italic Greek variants (∂, ϵ, θ-symbol, κ-symbol, φ-symbol, ρ-symbol, π-symbol) + a[0x1D715] = 0x2202 # ∂ partial differential + a[0x1D716] = 0x03F5 # ϵ epsilon symbol + a[0x1D717] = 0x03B8 # θ theta symbol + a[0x1D718] = 0x03BA # κ kappa symbol + a[0x1D719] = 0x03C6 # φ phi symbol + a[0x1D71A] = 0x03C1 # ρ rho symbol + a[0x1D71B] = 0x03C0 # π pi symbol + + # Math Bold Capital Greek: U+1D6A8–U+1D6C0 (25 chars) + for i, cp in enumerate(GREEK_UPPER): + a[0x1D6A8 + i] = cp + # Math Bold Small Greek: U+1D6C2–U+1D6DA (25 chars) + for i, cp in enumerate(GREEK_LOWER): + a[0x1D6C2 + i] = cp + + return a + + +def build_operator_glyphs(ff_font): + """Create/resize large-operator glyphs to match MathJax Size1 font proportions. + + Target height fractions (from MathJax_Size1-Regular.woff, UPM 1000): + U+2211 ∑: 1.000 × UPM + U+222B ∫: 1.111 × UPM — xkcd already has 951/856 = 1.111, no change needed. + + Scaling from origin (baseline) keeps the glyph sitting on the baseline. + """ + upem = ff_font.em + + # ∑ (U+2211): scaled copy of Σ (U+03A3), sized to exactly 1.000 × UPM + ff_font.selection.select(0x03A3) + ff_font.copy() + g = ff_font.createChar(0x2211, 'summation') + ff_font.selection.select(0x2211) + ff_font.paste() + + bb = g.boundingBox() + scale = upem / (bb[3] - bb[1]) + g.transform(psMat.scale(scale)) + g.width = round(g.width * scale) + print(f" U+2211 (summation): scale={scale:.3f}, bounds={g.boundingBox()}, advance={g.width}") + + +def build_sqrt_glyphs(ff_font): + """Replace U+221A with hand-drawn surd; add U+E221 as the full long sqrt. + + Source: potrace of 2343_mathematical_symbol_fight_2x__long_sqrt.png + (170×61 px, potrace space 1700×610 units, Y-up convention). + + Coordinate transform (potrace → font units, UPM=856): + font_x = round(x_pot * 0.65 + 20) + font_y = round(y_pot * 1.228 − 101) + + U+221A: surd stroke only (potrace segs 1–11), closed with a straight bar + cap back to the start — the horizontal overline is handled by CSS in + mathjax-demo.html. + + U+E221: the complete surd+bar shape (segs 1–16, closes naturally at M). + Wide advance width so the glyph extends visually to the right. + """ + SX, OX = 0.65, 20 + SY, OY = 1.228, -101 + + def tx(x): return round(x * SX + OX) + def ty(y): return round(y * SY + OY) + + def draw_surd(pen, close_with_bar): + """Potrace segs 1–11: the surd tick + ascending stroke.""" + pen.moveTo((tx(845), ty(602))) + pen.curveTo((tx(844), ty(601)), (tx(727), ty(598)), (tx(586), ty(597))) + pen.curveTo((tx(377), ty(595)), (tx(327), ty(591)), (tx(316), ty(580))) + pen.curveTo((tx(305), ty(568)), (tx(269), ty(462)), (tx(254), ty(400))) + pen.curveTo((tx(237), ty(323)), (tx(165), ty(101)), (tx(160), ty(107))) + pen.curveTo((tx(156), ty(112)), (tx(142), ty(135)), (tx(129), ty(160))) + pen.curveTo((tx( 95), ty(224)), (tx( 70), ty(252)), (tx( 55), ty(240))) + pen.curveTo((tx( 45), ty(232)), (tx( 55), ty(203)), (tx( 97), ty(120))) + pen.curveTo((tx(127), ty( 59)), (tx(155), ty( 10)), (tx(158), ty( 10))) + pen.curveTo((tx(172), ty( 10)), (tx(186), ty( 26)), (tx(198), ty( 53))) + pen.curveTo((tx(208), ty( 76)), (tx(283), ty(325)), (tx(332), ty(500))) + pen.curveTo((tx(337), ty(519)), (tx(346), ty(539)), (tx(350), ty(544))) + if close_with_bar: + pen.lineTo((tx(350), ty(602))) + pen.closePath() + + def draw_bar(pen): + """Potrace segs 12–16: bar extending right, closing back to M(845,602).""" + pen.curveTo((tx( 355), ty(549)), (tx( 656), ty(554)), (tx(1020), ty(555))) + pen.curveTo((tx(1384), ty(557)), (tx(1684), ty(560)), (tx(1687), ty(563))) + pen.curveTo((tx(1690), ty(566)), (tx(1689), ty(577)), (tx(1686), ty(587))) + pen.curveTo((tx(1681), ty(604)), (tx(1658), ty(605)), (tx(1264), ty(605))) + pen.curveTo((tx(1036), ty(605)), (tx( 847), ty(604)), (tx( 845), ty(602))) + pen.closePath() + + def draw_serif(pen): + """Small left serif stroke (potrace path 1).""" + pen.moveTo((tx(0), ty(467))) + pen.curveTo((tx( 0), ty(430)), (tx( 3), ty(400)), (tx( 8), ty(400))) + pen.curveTo((tx(17), ty(400)), (tx(17), ty(516)), (tx( 7), ty(526))) + pen.curveTo((tx( 3), ty(530)), (tx( 0), ty(503)), (tx( 0), ty(467))) + pen.closePath() + + # --- U+221A: surd only --- + g = ff_font[0x221A] + g.clear() + pen = g.glyphPen() + draw_surd(pen, close_with_bar=True) + draw_serif(pen) + del pen + g.correctDirection() + g.removeOverlap() + g.addExtrema() + g.width = 570 + print(f" U+221A (radical): bounds={g.boundingBox()}, advance={g.width}") + + # --- U+E221: full long sqrt --- + try: + glong = ff_font[0xE221] + glong.clear() + except TypeError: + glong = ff_font.createChar(0xE221, 'longsqrt') + pen2 = glong.glyphPen() + draw_surd(pen2, close_with_bar=False) + draw_bar(pen2) + draw_serif(pen2) + del pen2 + glong.correctDirection() + glong.removeOverlap() + glong.addExtrema() + glong.width = tx(1750) + print(f" U+E221 (longsqrt): bounds={glong.boundingBox()}, advance={glong.width}") + + +# ── Phase A: fontforge — glyph editing ──────────────────────────────────────── +_tmp = tempfile.NamedTemporaryFile(suffix='.otf', delete=False) +FONT_TEMP = _tmp.name +_tmp.close() + +ff_font = fontforge.open(FONT_IN) +build_operator_glyphs(ff_font) +build_sqrt_glyphs(ff_font) +ff_font.generate(FONT_TEMP, flags=('opentype',)) +ff_font.close() +print(f"Phase A complete: intermediate OTF at {FONT_TEMP}") + +# ── Phase B: fontTools — cmap aliases + WOFF output ─────────────────────────── +font = TTFont(FONT_TEMP) +base_cmap = font.getBestCmap() +aliases = build_aliases() + +added = 0 +skipped = 0 +for src_cp, dst_cp in sorted(aliases.items()): + glyph = base_cmap.get(dst_cp) + if not glyph: + print(f" skip U+{dst_cp:04X} ({chr(dst_cp)!r}): no glyph in source font") + skipped += 1 + continue + for t in font['cmap'].tables: + if t.format == 4 and src_cp <= 0xFFFF: + t.cmap[src_cp] = glyph + elif t.format == 12: + t.cmap[src_cp] = glyph + added += 1 + +print(f"Added {added} aliases ({skipped} skipped — no source glyph)") + +font.flavor = 'woff' +font.save(FONT_OUT) +os.unlink(FONT_TEMP) +print(f"Saved {FONT_OUT}") diff --git a/xkcd-script/generator/run.sh b/xkcd-script/generator/run.sh index d4870f6..2db5683 100755 --- a/xkcd-script/generator/run.sh +++ b/xkcd-script/generator/run.sh @@ -19,3 +19,5 @@ set -ex [ "$FROM" -le 6 ] && $RUN_CTXT python3 pt6_derived_chars.py [ "$FROM" -le 7 ] && $RUN_CTXT python3 pt7_font_properties.py [ "$FROM" -le 8 ] && $RUN_CTXT python3 pt8_gen_reprod_font.py + +$RUN_CTXT python3 gen_mathjax_font.py From 7c8fc332aa772a9c5836624994f300f17f8c4916 Mon Sep 17 00:00:00 2001 From: Phil Elson Date: Thu, 7 May 2026 05:08:39 +0200 Subject: [PATCH 06/10] Inline stuff for mathjax --- mathjax-demo.html | 21 ++++++++++---- xkcd-script/generator/gen_mathjax_font.py | 34 +++++++++++++++-------- 2 files changed, 39 insertions(+), 16 deletions(-) diff --git a/mathjax-demo.html b/mathjax-demo.html index a3f80a6..1334914 100644 --- a/mathjax-demo.html +++ b/mathjax-demo.html @@ -249,14 +249,15 @@

xkcd-script + MathJax

MathJax CHTML with xkcd-script substituted for letter and Greek glyphs.

- +$$\int_0^\infty e^{-x}\,dx = 1$$ + +$$\prod_{p\;\text{prime}} \frac{1}{1-p^{-s}} = \sum_{n=1}^{\infty} \frac{1}{n^s}$$
@@ -290,6 +291,16 @@

xkcd-script + MathJax

}); +

Large operators: inline vs display

+ +

Inline: $\sum_{k=1}^{n} k$ and $\int_0^1 x^2\,dx$ and $\prod_{k=1}^{n} k$

+ +

Display: +$$\sum_{k=1}^{n} k = \frac{n(n+1)}{2}$$ +$$\int_0^\infty e^{-x}\,dx = 1 \qquad \int_{-\infty}^{\infty} e^{-x^2}\,dx = \sqrt{\pi}$$ +$$\prod_{p\;\text{prime}} \frac{1}{1-p^{-s}} = \sum_{n=1}^{\infty} \frac{1}{n^s}$$ +

+

Algebra

Quadratic formula: diff --git a/xkcd-script/generator/gen_mathjax_font.py b/xkcd-script/generator/gen_mathjax_font.py index 84286c9..9e50275 100644 --- a/xkcd-script/generator/gen_mathjax_font.py +++ b/xkcd-script/generator/gen_mathjax_font.py @@ -109,26 +109,38 @@ def build_aliases(): def build_operator_glyphs(ff_font): """Create/resize large-operator glyphs to match MathJax Size1 font proportions. + MathJax CHTML uses the same Unicode codepoints for both inline and display-mode + large operators (U+2211, U+222B, U+220F, etc.) — it achieves the display-mode + size increase via CSS font-size scaling combined with different glyph metrics in + the MJXTEX-S1 font. Our !important font-family override intercepts Size1 usage, + so we must supply glyphs at the metrics MathJax expects from Size1: + Target height fractions (from MathJax_Size1-Regular.woff, UPM 1000): U+2211 ∑: 1.000 × UPM + U+220F ∏: 1.000 × UPM U+222B ∫: 1.111 × UPM — xkcd already has 951/856 = 1.111, no change needed. Scaling from origin (baseline) keeps the glyph sitting on the baseline. """ upem = ff_font.em + def _scale_greek_to_upem(src_cp, dst_cp, dst_name): + ff_font.selection.select(src_cp) + ff_font.copy() + g = ff_font.createChar(dst_cp, dst_name) + ff_font.selection.select(dst_cp) + ff_font.paste() + bb = g.boundingBox() + scale = upem / (bb[3] - bb[1]) + g.transform(psMat.scale(scale)) + g.width = round(g.width * scale) + print(f" U+{dst_cp:04X} ({dst_name}): scale={scale:.3f}, bounds={g.boundingBox()}, advance={g.width}") + # ∑ (U+2211): scaled copy of Σ (U+03A3), sized to exactly 1.000 × UPM - ff_font.selection.select(0x03A3) - ff_font.copy() - g = ff_font.createChar(0x2211, 'summation') - ff_font.selection.select(0x2211) - ff_font.paste() - - bb = g.boundingBox() - scale = upem / (bb[3] - bb[1]) - g.transform(psMat.scale(scale)) - g.width = round(g.width * scale) - print(f" U+2211 (summation): scale={scale:.3f}, bounds={g.boundingBox()}, advance={g.width}") + _scale_greek_to_upem(0x03A3, 0x2211, 'summation') + + # ∏ (U+220F): scaled copy of Π (U+03A0), sized to exactly 1.000 × UPM + _scale_greek_to_upem(0x03A0, 0x220F, 'product') def build_sqrt_glyphs(ff_font): From 87288fdb006d67c2192e54d32f89b53b2cedbff0 Mon Sep 17 00:00:00 2001 From: Phil Elson Date: Thu, 7 May 2026 06:05:04 +0200 Subject: [PATCH 07/10] Add correct and programatic vinculum handling --- mathjax-demo.html | 152 +++++++++++++++++++--- xkcd-script/generator/gen_mathjax_font.py | 77 ++++++++--- xkcd-script/generator/run.sh | 2 +- 3 files changed, 191 insertions(+), 40 deletions(-) diff --git a/mathjax-demo.html b/mathjax-demo.html index 1334914..883f24a 100644 --- a/mathjax-demo.html +++ b/mathjax-demo.html @@ -63,9 +63,68 @@ @@ -289,6 +392,19 @@

xkcd-script + MathJax

document.addEventListener('mathjax-ready', renderMath); } }); + +// Reposition overlays on resize/zoom (BCR coordinates change). +let resizeTimer; +window.addEventListener('resize', () => { + clearTimeout(resizeTimer); + resizeTimer = setTimeout(() => { + resetOverlays(); + replaceSqrtSymbols(); + replaceVinculums(); + // Also re-render the live preview with fresh layout. + renderMath(); + }, 150); +});

Large operators: inline vs display

diff --git a/xkcd-script/generator/gen_mathjax_font.py b/xkcd-script/generator/gen_mathjax_font.py index 9e50275..8221cbd 100644 --- a/xkcd-script/generator/gen_mathjax_font.py +++ b/xkcd-script/generator/gen_mathjax_font.py @@ -110,37 +110,72 @@ def build_operator_glyphs(ff_font): """Create/resize large-operator glyphs to match MathJax Size1 font proportions. MathJax CHTML uses the same Unicode codepoints for both inline and display-mode - large operators (U+2211, U+222B, U+220F, etc.) — it achieves the display-mode - size increase via CSS font-size scaling combined with different glyph metrics in - the MJXTEX-S1 font. Our !important font-family override intercepts Size1 usage, - so we must supply glyphs at the metrics MathJax expects from Size1: + large operators — display-mode sizing is achieved via CSS font-size scaling plus + different glyph metrics in MJXTEX-S1. Our !important font-family override + intercepts Size1 usage, so we supply glyphs with appropriate metrics here. + + Tuning knobs (adjust and rebuild to iterate): + MATH_AXIS — y-position of the math axis (fraction-bar centre) in xkcd-script. + Theoretical: ~0.30 × UPM ≈ 257. Measured mid-height of Σ/Π ≈ 296; + 260 is a conservative compromise. + OP_WEIGHT — stroke thinning for ∑ and ∏ after scale-up (negative = thinner). + INTEGRAL_H — display-mode ∫ height in font units. Current xkcd ∫ is 951 + (≈1.11 × UPM); Size1 fonts target ≈1.4–1.6 × UPM. + """ + upem = ff_font.em # 856 - Target height fractions (from MathJax_Size1-Regular.woff, UPM 1000): - U+2211 ∑: 1.000 × UPM - U+220F ∏: 1.000 × UPM - U+222B ∫: 1.111 × UPM — xkcd already has 951/856 = 1.111, no change needed. + MATH_AXIS = 260 + OP_WEIGHT = -20 + INTEGRAL_H = round(1.4 * upem) # ≈ 1198 - Scaling from origin (baseline) keeps the glyph sitting on the baseline. - """ - upem = ff_font.em + def _make_largeop(src_cp, dst_cp, dst_name, target_h, weight=0, rbear=0): + """Scale src to target_h, optionally thin strokes, centre on MATH_AXIS. - def _scale_greek_to_upem(src_cp, dst_cp, dst_name): + rbear: right bearing in font units (advance = right glyph edge + rbear). + Note: MathJax CHTML ignores the font advance width — it pre-bakes + character widths from its own JS metric tables, so rbear only + affects non-MathJax uses. Inline limit spacing in MathJax is + controlled via CSS margin-right in mathjax-demo.html instead. + """ ff_font.selection.select(src_cp) ff_font.copy() - g = ff_font.createChar(dst_cp, dst_name) + try: + g = ff_font[dst_cp] + g.clear() + except TypeError: + g = ff_font.createChar(dst_cp, dst_name) ff_font.selection.select(dst_cp) ff_font.paste() + g = ff_font[dst_cp] + bb = g.boundingBox() - scale = upem / (bb[3] - bb[1]) + scale = target_h / (bb[3] - bb[1]) g.transform(psMat.scale(scale)) - g.width = round(g.width * scale) - print(f" U+{dst_cp:04X} ({dst_name}): scale={scale:.3f}, bounds={g.boundingBox()}, advance={g.width}") - - # ∑ (U+2211): scaled copy of Σ (U+03A3), sized to exactly 1.000 × UPM - _scale_greek_to_upem(0x03A3, 0x2211, 'summation') - # ∏ (U+220F): scaled copy of Π (U+03A0), sized to exactly 1.000 × UPM - _scale_greek_to_upem(0x03A0, 0x220F, 'product') + if weight != 0: + g.correctDirection() + g.removeOverlap() + g.changeWeight(weight) + g.correctDirection() + g.addExtrema() + + # Centre the glyph's y-midpoint on MATH_AXIS so display-mode operators + # straddle the text baseline and MathJax places limits at expected positions. + bb2 = g.boundingBox() + g.transform(psMat.translate(0, MATH_AXIS - (bb2[3] + bb2[1]) / 2)) + + bb3 = g.boundingBox() + g.width = round(bb3[2] + rbear) + + print(f" U+{dst_cp:04X} ({dst_name}): scale={scale:.3f} weight={weight} " + f"bounds={g.boundingBox()} advance={g.width}") + + # ∑ (U+2211): Σ scaled to 1.0 × UPM, strokes thinned, centred on math axis + _make_largeop(0x03A3, 0x2211, 'summation', upem, weight=OP_WEIGHT, rbear=20) + # ∏ (U+220F): Π scaled to 1.0 × UPM, strokes thinned, centred on math axis + _make_largeop(0x03A0, 0x220F, 'product', upem, weight=OP_WEIGHT, rbear=5000) + # ∫ (U+222B): existing xkcd ∫ scaled to INTEGRAL_H, strokes thinned, centred + _make_largeop(0x222B, 0x222B, 'integral', INTEGRAL_H, weight=-15, rbear=5000) def build_sqrt_glyphs(ff_font): diff --git a/xkcd-script/generator/run.sh b/xkcd-script/generator/run.sh index 2db5683..9cc80cc 100755 --- a/xkcd-script/generator/run.sh +++ b/xkcd-script/generator/run.sh @@ -20,4 +20,4 @@ set -ex [ "$FROM" -le 7 ] && $RUN_CTXT python3 pt7_font_properties.py [ "$FROM" -le 8 ] && $RUN_CTXT python3 pt8_gen_reprod_font.py -$RUN_CTXT python3 gen_mathjax_font.py +# $RUN_CTXT python3 gen_mathjax_font.py From 804fa266e5ba4b26829168d65d16e5a92106b140 Mon Sep 17 00:00:00 2001 From: Phil Elson Date: Thu, 7 May 2026 06:53:24 +0200 Subject: [PATCH 08/10] Pretty much perfect for the cases that I've tested (very slight horizontal line join) --- mathjax-demo.html | 64 +++++++++++++++++------ xkcd-script/generator/gen_mathjax_font.py | 39 ++++++++++++-- 2 files changed, 82 insertions(+), 21 deletions(-) diff --git a/mathjax-demo.html b/mathjax-demo.html index 883f24a..8edcda5 100644 --- a/mathjax-demo.html +++ b/mathjax-demo.html @@ -104,26 +104,42 @@ .replace(/-326 -2 -632 -4 -680 -6/, `${f1(-326)} -2 ${f1(-632)} -4 ${f1(-680)} -6`); } -// Return HTML for a mirrored hand-drawn bar of the given pixel dimensions. -// The viewBox half-width is quartered (÷4) relative to the pixel half-width, -// producing a uniform 4× zoom so the bar stroke appears 4× thicker. -// pixelHeight is the CSS border thickness; the SVG is rendered at 4× that -// height and centred on the border via a negative top offset in the caller. +// Return an SVG for a mirrored hand-drawn bar of the given pixel dimensions. +// Each half is a nested that clips to its own viewport, preventing the +// surd checkmark portion of the path from bleeding into the join area. +// Both nested elements share one outer , so there is no inter-HTML-element +// boundary that could produce a sub-pixel seam. +// +// Transform derivation (path units -> nested-SVG px): +// gGroup: path (x,y) -> SVG pt (x/10, BAR_PATH_H - y/10) +// viewport: SVG pt u -> nested px (u - cx) * sx [right half] +// nested px (cx + halfPt - u) * sx [left half, mirrored] function mirrorBarHTML(pixelWidth, pixelHeight) { - const halfPx = pixelWidth / 2; const Sx = pixelHeight / BAR_VB_H; - const halfPt = halfPx / Sx / 3; // ÷3 → 3× zoom + const halfPt = pixelWidth / 2 / Sx / 3; const maxHalf = BAR_BASE_W - BAR_LEFT_X; const delta = Math.max(0, halfPt - maxHalf); const totalW = BAR_BASE_W + delta; const cx = totalW - halfPt; const path = buildBarPath(delta); - const g = ``; - const dims = `width="${halfPx}px" height="${pixelHeight * 3}px"`; // 3× height - const vb = `viewBox="${cx} 0 ${halfPt} ${BAR_VB_H}"`; - const right = `${g}`; - const mirrored = `${g}`; - return `
${mirrored}${right}
`; + const svgH = pixelHeight * 3; + const hw = pixelWidth / 2; + const sx = hw / halfPt; + const sy = svgH / BAR_VB_H; + const a = 0.1 * sx; + const d = -0.1 * sy; + const e = -cx * sx; // right half: path x=cx*10 -> nested px 0 + const f = BAR_PATH_H * sy; + const matR = `matrix(${a},0,0,${d},${e},${f})`; + const matL = `matrix(${-a},0,0,${d},${hw - e},${f})`; // mirror: path x=cx*10 -> nested px hw + return ` + + + + + + + `; } // ── Hand-drawn sqrt surd (from sqrt_vertical.svg) ───────────────────────── @@ -206,9 +222,9 @@ const vinculumRect = vinculumEl ? vinculumEl.getBoundingClientRect() : null; // Sx: uniform scale based on font size — keeps stroke weight consistent. - // dh: path height extension so the surd body reaches the required pixel height - // without needing non-uniform SVG scaling. - const Sx = parseFloat(getComputedStyle(msqrt).fontSize) / SURD_HEIGHT_SVG; + // ×1.5 thickens strokes; dw/dh are recomputed at the new Sx so the bar + // width and overall surd height stay matched to the radicand. + const Sx = parseFloat(getComputedStyle(msqrt).fontSize) / SURD_HEIGHT_SVG * 1.5; const W_bar = vinculumRect ? vinculumRect.width : surdRect.height; // SURD_GAP_SVG pushes the bar junction left of the vinculum edge, adding // whitespace between the surd body and the first character of the radicand. @@ -270,6 +286,22 @@ mjx-container[jax="CHTML"][display="true"] mjx-munderover:has(.mjx-c2211) mjx-over { margin-left: -0.15em !important; } + /* xkcd capitals are ~0.20em narrower than MJXTEX-I metrics so MathJax + centres \hat (U+02C6) too far right. Nudge it back; tune visually. */ + mjx-container[jax="CHTML"] mjx-mover mjx-over:has(.mjx-c2C6) { + margin-left: -0.10em !important; + } + /* MJXTEX-I applies ~0.133em italic-correction padding to f (U+1D453) as + the superscript base, positioning the prime too far right for xkcd's + upright f shape. Zeroing it closes the equal gap on both sides of '. */ + mjx-container[jax="CHTML"] mjx-msup mjx-base mjx-mi:has(.mjx-c1D453) { + padding-right: 0 !important; + } + /* xkcd italic g (U+1D454) descender crowds the following '(' — add a + small nudge after it. Tune visually if needed. */ + mjx-container[jax="CHTML"] mjx-mi:has(.mjx-c1D454) { + margin-right: 0.05em; + } `; document.head.appendChild(s); } diff --git a/xkcd-script/generator/gen_mathjax_font.py b/xkcd-script/generator/gen_mathjax_font.py index 8221cbd..1c9aecd 100644 --- a/xkcd-script/generator/gen_mathjax_font.py +++ b/xkcd-script/generator/gen_mathjax_font.py @@ -20,6 +20,9 @@ FONT_IN = '/work/xkcd-script/font/xkcd-script.otf' FONT_OUT = '/work/xkcd-script/font/xkcd-script-mathjax.woff' +# y-position of the math axis (fraction-bar centre) in xkcd-script font units. +MATH_AXIS = 260 + def build_aliases(): a = {} @@ -35,7 +38,9 @@ def build_aliases(): a[src] = 0x0061 + i # Special TeX italic substitutes used where the standard slot is a hole a[0x210E] = ord('h') # PLANCK CONSTANT ℎ → h + a[0x210F] = ord('h') # PLANCK CONSTANT OVER TWO PI ℏ → h (no hbar glyph) a[0x2113] = ord('l') # SCRIPT SMALL L ℓ → l + a[0x03D5] = 0x03C6 # GREEK PHI SYMBOL ϕ → φ (closest available) # Math Bold Capital A–Z: U+1D400–U+1D419 for i in range(26): @@ -115,17 +120,14 @@ def build_operator_glyphs(ff_font): intercepts Size1 usage, so we supply glyphs with appropriate metrics here. Tuning knobs (adjust and rebuild to iterate): - MATH_AXIS — y-position of the math axis (fraction-bar centre) in xkcd-script. - Theoretical: ~0.30 × UPM ≈ 257. Measured mid-height of Σ/Π ≈ 296; - 260 is a conservative compromise. + MATH_AXIS — module-level constant; y-position of the math axis in xkcd-script. OP_WEIGHT — stroke thinning for ∑ and ∏ after scale-up (negative = thinner). INTEGRAL_H — display-mode ∫ height in font units. Current xkcd ∫ is 951 (≈1.11 × UPM); Size1 fonts target ≈1.4–1.6 × UPM. """ upem = ff_font.em # 856 - MATH_AXIS = 260 - OP_WEIGHT = -20 + OP_WEIGHT = -20 INTEGRAL_H = round(1.4 * upem) # ≈ 1198 def _make_largeop(src_cp, dst_cp, dst_name, target_h, weight=0, rbear=0): @@ -267,6 +269,32 @@ def draw_serif(pen): print(f" U+E221 (longsqrt): bounds={glong.boundingBox()}, advance={glong.width}") +def build_misc_glyphs(ff_font): + """Create U+22C5 (⋅, cdot): period scaled to 75%, centred on math axis.""" + ff_font.selection.select(ord('.')) + ff_font.copy() + try: + g = ff_font[0x22C5] + g.clear() + except TypeError: + g = ff_font.createChar(0x22C5, 'cdot') + ff_font.selection.select(0x22C5) + ff_font.paste() + g = ff_font[0x22C5] + + TARGET_W = 220 + g.transform(psMat.scale(0.75)) + bb = g.boundingBox() + cx = (bb[0] + bb[2]) / 2 + cy = (bb[1] + bb[3]) / 2 + g.transform(psMat.translate(TARGET_W / 2 - cx, MATH_AXIS - cy)) + g.correctDirection() + g.addExtrema() + g.width = TARGET_W + print(f" U+22C5 (cdot): bounds={g.boundingBox()}, advance={g.width}") + + + # ── Phase A: fontforge — glyph editing ──────────────────────────────────────── _tmp = tempfile.NamedTemporaryFile(suffix='.otf', delete=False) FONT_TEMP = _tmp.name @@ -275,6 +303,7 @@ def draw_serif(pen): ff_font = fontforge.open(FONT_IN) build_operator_glyphs(ff_font) build_sqrt_glyphs(ff_font) +build_misc_glyphs(ff_font) ff_font.generate(FONT_TEMP, flags=('opentype',)) ff_font.close() print(f"Phase A complete: intermediate OTF at {FONT_TEMP}") From 634f35280e2d06921875f2e1954261d046f9f422 Mon Sep 17 00:00:00 2001 From: Phil Elson Date: Tue, 26 May 2026 07:35:57 +0200 Subject: [PATCH 09/10] Include a mathjax integration, and bring it into the normal pipeline workflow --- mathjax-demo.html | 363 +----------- xkcd-script/font/xkcd-script-mathjax.woff | Bin 0 -> 199308 bytes xkcd-script/generator/gen_mathjax_font.py | 336 ------------ xkcd-script/generator/pt6_derived_chars.py | 116 ++++ xkcd-script/generator/pt7_font_properties.py | 4 +- xkcd-script/generator/pt8_derivative_fonts.py | 120 ++++ xkcd-script/generator/pt8_gen_reprod_font.py | 155 ------ xkcd-script/generator/pt9_gen_reprod_font.py | 226 ++++++++ xkcd-script/generator/run.sh | 5 +- xkcd-script/samples/math/.gitignore | 1 + xkcd-script/samples/math/Dockerfile | 29 + xkcd-script/samples/math/binomial-theorem.png | Bin 0 -> 8439 bytes .../samples/math/deeply-nested-sqrt.png | Bin 0 -> 5093 bytes .../samples/math/derivative-definition.png | Bin 0 -> 9867 bytes .../samples/math/display-euler-product.png | Bin 0 -> 8890 bytes xkcd-script/samples/math/display-int-exp.png | Bin 0 -> 7463 bytes .../samples/math/display-sum-closed.png | Bin 0 -> 9955 bytes xkcd-script/samples/math/eulers-identity.png | Bin 0 -> 4461 bytes xkcd-script/samples/math/formulas.json | 27 + .../samples/math/fourier-transform.png | Bin 0 -> 13366 bytes .../samples/math/gaussian-integral.png | Bin 0 -> 9346 bytes xkcd-script/samples/math/generate.js | 134 +++++ xkcd-script/samples/math/greek-letters.png | Bin 0 -> 20193 bytes xkcd-script/samples/math/inline-int.png | Bin 0 -> 5094 bytes xkcd-script/samples/math/inline-prod.png | Bin 0 -> 2926 bytes xkcd-script/samples/math/inline-sum.png | Bin 0 -> 3173 bytes .../samples/math/maxwell-free-space.png | Bin 0 -> 7335 bytes xkcd-script/samples/math/package-lock.json | 98 ++++ xkcd-script/samples/math/package.json | 9 + xkcd-script/samples/math/product-rule.png | Bin 0 -> 8068 bytes xkcd-script/samples/math/pythagoras.png | Bin 0 -> 3282 bytes .../samples/math/quadratic-formula.png | Bin 0 -> 10471 bytes xkcd-script/samples/math/run.sh | 30 + xkcd-script/samples/math/schrodinger.png | Bin 0 -> 5308 bytes xkcd-script/samples/math/sqrt-pi-short.png | Bin 0 -> 1531 bytes xkcd-script/xkcd-mathjax.js | 516 ++++++++++++++++++ 36 files changed, 1327 insertions(+), 842 deletions(-) create mode 100644 xkcd-script/font/xkcd-script-mathjax.woff delete mode 100644 xkcd-script/generator/gen_mathjax_font.py create mode 100644 xkcd-script/generator/pt8_derivative_fonts.py delete mode 100644 xkcd-script/generator/pt8_gen_reprod_font.py create mode 100644 xkcd-script/generator/pt9_gen_reprod_font.py create mode 100644 xkcd-script/samples/math/.gitignore create mode 100644 xkcd-script/samples/math/Dockerfile create mode 100644 xkcd-script/samples/math/binomial-theorem.png create mode 100644 xkcd-script/samples/math/deeply-nested-sqrt.png create mode 100644 xkcd-script/samples/math/derivative-definition.png create mode 100644 xkcd-script/samples/math/display-euler-product.png create mode 100644 xkcd-script/samples/math/display-int-exp.png create mode 100644 xkcd-script/samples/math/display-sum-closed.png create mode 100644 xkcd-script/samples/math/eulers-identity.png create mode 100644 xkcd-script/samples/math/formulas.json create mode 100644 xkcd-script/samples/math/fourier-transform.png create mode 100644 xkcd-script/samples/math/gaussian-integral.png create mode 100755 xkcd-script/samples/math/generate.js create mode 100644 xkcd-script/samples/math/greek-letters.png create mode 100644 xkcd-script/samples/math/inline-int.png create mode 100644 xkcd-script/samples/math/inline-prod.png create mode 100644 xkcd-script/samples/math/inline-sum.png create mode 100644 xkcd-script/samples/math/maxwell-free-space.png create mode 100644 xkcd-script/samples/math/package-lock.json create mode 100644 xkcd-script/samples/math/package.json create mode 100644 xkcd-script/samples/math/product-rule.png create mode 100644 xkcd-script/samples/math/pythagoras.png create mode 100644 xkcd-script/samples/math/quadratic-formula.png create mode 100755 xkcd-script/samples/math/run.sh create mode 100644 xkcd-script/samples/math/schrodinger.png create mode 100644 xkcd-script/samples/math/sqrt-pi-short.png create mode 100644 xkcd-script/xkcd-mathjax.js diff --git a/mathjax-demo.html b/mathjax-demo.html index 8edcda5..ace45e1 100644 --- a/mathjax-demo.html +++ b/mathjax-demo.html @@ -5,15 +5,6 @@ xkcd-script + MathJax - - + @@ -401,41 +87,26 @@

xkcd-script + MathJax

const preview = document.getElementById('latex-preview'); let renderTimer; -function renderMath() { +function renderPreview() { MathJax.typesetClear([preview]); preview.textContent = input.value; - MathJax.typesetPromise([preview]).then(() => { - injectFontOverride(); - replaceSqrtSymbols(preview); - replaceVinculums(preview); - }); + MathJax.typesetPromise([preview]).then(() => XkcdMathJax.refresh(preview)); } input.addEventListener('input', () => { clearTimeout(renderTimer); - renderTimer = setTimeout(renderMath, 350); + renderTimer = setTimeout(renderPreview, 350); }); -// Render initial content once MathJax + font are both ready. -document.fonts.load("1em 'xkcd-script-math'").then(() => { - if (window.MathJax && MathJax.startup && MathJax.startup.promise) { - MathJax.startup.promise.then(renderMath); - } else { - document.addEventListener('mathjax-ready', renderMath); - } -}); +// Initial preview render fires once MathJax + xkcd-mathjax finish setup. +XkcdMathJax.ready.then(renderPreview); -// Reposition overlays on resize/zoom (BCR coordinates change). +// On resize the library already re-places overlays on the static formulae; +// we additionally re-render the live preview so its layout stays in sync. let resizeTimer; window.addEventListener('resize', () => { clearTimeout(resizeTimer); - resizeTimer = setTimeout(() => { - resetOverlays(); - replaceSqrtSymbols(); - replaceVinculums(); - // Also re-render the live preview with fresh layout. - renderMath(); - }, 150); + resizeTimer = setTimeout(renderPreview, 150); }); @@ -492,10 +163,10 @@

Physics

Deeply nested sqrt fractions: -$$\sqrt{b^2 - 4ac} -\sqrt{\frac{b^2}{x}}{2a} -\sqrt{\frac{b^2}{\frac{b^2}{x}}}{2a} -\sqrt{\frac{b^2}{\frac{b^2}{\frac{b^2}{x}}}}{2a} +$$\sqrt{b^2 - 4ac} +\sqrt{\frac{b^2}{x}}{2a} +\sqrt{\frac{b^2}{\frac{b^2}{x}}}{2a} +\sqrt{\frac{b^2}{\frac{b^2}{\frac{b^2}{x}}}}{2a} \sqrt{\frac{b^2}{\frac{b^2}{\frac{b^2}{\frac{b^2}{4ac}}}}}{2a}$$

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zvykyT?2j>TC!U*9$h^#YBbdwi@9plXXihx;dewyKc8R@DqJ`~IS9=rvsE$;lrq^e>vlO+|7Bz{!Oy6t9HKuw~{o6lG|0TS?{HkCflg4d%BS-oknp?{?dC(fF ps^6`#UWX#8Yqfj4zOA-9LMhA+uY@;3UznyZAI?1l1Jc-c007MM|1SUl literal 0 HcmV?d00001 diff --git a/xkcd-script/generator/gen_mathjax_font.py b/xkcd-script/generator/gen_mathjax_font.py deleted file mode 100644 index 1c9aecd..0000000 --- a/xkcd-script/generator/gen_mathjax_font.py +++ /dev/null @@ -1,336 +0,0 @@ -"""Generate xkcd-script-mathjax.woff — xkcd-script extended with: - 1. Unicode math italic/bold cmap aliases so MathJax CHTML uses it for letter glyphs. - 2. A hand-drawn U+221A (radical/sqrt) glyph from xkcd comic #2343 (surd only). - 3. A hand-drawn U+E221 (full long sqrt) glyph — the complete surd+bar shape. - -Phase A uses fontforge (for correctDirection / removeOverlap cleanup). -Phase B uses fontTools (for cmap aliasing and WOFF output). - -Run from repo root: - docker run --rm -v $(pwd):/work fontbuilder-test \\ - python3 /work/xkcd-script/generator/gen_mathjax_font.py -""" -import os -import tempfile -import fontforge -import psMat -from fontTools.ttLib import TTFont - - -FONT_IN = '/work/xkcd-script/font/xkcd-script.otf' -FONT_OUT = '/work/xkcd-script/font/xkcd-script-mathjax.woff' - -# y-position of the math axis (fraction-bar centre) in xkcd-script font units. -MATH_AXIS = 260 - - -def build_aliases(): - a = {} - - # --- Latin: italic and bold variants --- - # Math Italic Capital A–Z: U+1D434–U+1D44D - for i in range(26): - a[0x1D434 + i] = 0x0041 + i - # Math Italic Small a–z: U+1D44E–U+1D467 (U+1D455 is a Unicode hole) - for i in range(26): - src = 0x1D44E + i - if src != 0x1D455: - a[src] = 0x0061 + i - # Special TeX italic substitutes used where the standard slot is a hole - a[0x210E] = ord('h') # PLANCK CONSTANT ℎ → h - a[0x210F] = ord('h') # PLANCK CONSTANT OVER TWO PI ℏ → h (no hbar glyph) - a[0x2113] = ord('l') # SCRIPT SMALL L ℓ → l - a[0x03D5] = 0x03C6 # GREEK PHI SYMBOL ϕ → φ (closest available) - - # Math Bold Capital A–Z: U+1D400–U+1D419 - for i in range(26): - a[0x1D400 + i] = 0x0041 + i - # Math Bold Small a–z: U+1D41A–U+1D433 - for i in range(26): - a[0x1D41A + i] = 0x0061 + i - - # Math Bold Italic Capital A–Z: U+1D468–U+1D481 - for i in range(26): - a[0x1D468 + i] = 0x0041 + i - # Math Bold Italic Small a–z: U+1D482–U+1D49B - for i in range(26): - a[0x1D482 + i] = 0x0061 + i - - # Math Bold digits 0–9: U+1D7CE–U+1D7D7 - for i in range(10): - a[0x1D7CE + i] = 0x0030 + i - - # --- Greek: italic and bold variants --- - # Sequence follows the Unicode math Greek blocks exactly, including the - # capital-theta-symbol slot at position 17 (aliased back to plain theta). - GREEK_UPPER = [ - 0x0391, 0x0392, 0x0393, 0x0394, 0x0395, 0x0396, 0x0397, - 0x0398, # Θ (theta) - 0x0399, 0x039A, 0x039B, 0x039C, 0x039D, 0x039E, 0x039F, - 0x03A0, # Π - 0x03A1, # Ρ - 0x0398, # ϴ capital theta symbol → Θ - 0x03A3, # Σ (skips non-existent 03A2) - 0x03A4, 0x03A5, 0x03A6, 0x03A7, 0x03A8, - 0x03A9, # Ω - ] - GREEK_LOWER = [ - 0x03B1, 0x03B2, 0x03B3, 0x03B4, 0x03B5, 0x03B6, 0x03B7, - 0x03B8, # θ - 0x03B9, 0x03BA, 0x03BB, 0x03BC, 0x03BD, 0x03BE, 0x03BF, - 0x03C0, # π - 0x03C1, # ρ - 0x03C2, # ς (final sigma) - 0x03C3, # σ - 0x03C4, 0x03C5, 0x03C6, 0x03C7, 0x03C8, - 0x03C9, # ω - ] - - # Math Italic Capital Greek: U+1D6E2–U+1D6FA (25 chars) - for i, cp in enumerate(GREEK_UPPER): - a[0x1D6E2 + i] = cp - # Math Italic Small Greek: U+1D6FC–U+1D714 (25 chars) - for i, cp in enumerate(GREEK_LOWER): - a[0x1D6FC + i] = cp - # Math Italic Greek variants (∂, ϵ, θ-symbol, κ-symbol, φ-symbol, ρ-symbol, π-symbol) - a[0x1D715] = 0x2202 # ∂ partial differential - a[0x1D716] = 0x03F5 # ϵ epsilon symbol - a[0x1D717] = 0x03B8 # θ theta symbol - a[0x1D718] = 0x03BA # κ kappa symbol - a[0x1D719] = 0x03C6 # φ phi symbol - a[0x1D71A] = 0x03C1 # ρ rho symbol - a[0x1D71B] = 0x03C0 # π pi symbol - - # Math Bold Capital Greek: U+1D6A8–U+1D6C0 (25 chars) - for i, cp in enumerate(GREEK_UPPER): - a[0x1D6A8 + i] = cp - # Math Bold Small Greek: U+1D6C2–U+1D6DA (25 chars) - for i, cp in enumerate(GREEK_LOWER): - a[0x1D6C2 + i] = cp - - return a - - -def build_operator_glyphs(ff_font): - """Create/resize large-operator glyphs to match MathJax Size1 font proportions. - - MathJax CHTML uses the same Unicode codepoints for both inline and display-mode - large operators — display-mode sizing is achieved via CSS font-size scaling plus - different glyph metrics in MJXTEX-S1. Our !important font-family override - intercepts Size1 usage, so we supply glyphs with appropriate metrics here. - - Tuning knobs (adjust and rebuild to iterate): - MATH_AXIS — module-level constant; y-position of the math axis in xkcd-script. - OP_WEIGHT — stroke thinning for ∑ and ∏ after scale-up (negative = thinner). - INTEGRAL_H — display-mode ∫ height in font units. Current xkcd ∫ is 951 - (≈1.11 × UPM); Size1 fonts target ≈1.4–1.6 × UPM. - """ - upem = ff_font.em # 856 - - OP_WEIGHT = -20 - INTEGRAL_H = round(1.4 * upem) # ≈ 1198 - - def _make_largeop(src_cp, dst_cp, dst_name, target_h, weight=0, rbear=0): - """Scale src to target_h, optionally thin strokes, centre on MATH_AXIS. - - rbear: right bearing in font units (advance = right glyph edge + rbear). - Note: MathJax CHTML ignores the font advance width — it pre-bakes - character widths from its own JS metric tables, so rbear only - affects non-MathJax uses. Inline limit spacing in MathJax is - controlled via CSS margin-right in mathjax-demo.html instead. - """ - ff_font.selection.select(src_cp) - ff_font.copy() - try: - g = ff_font[dst_cp] - g.clear() - except TypeError: - g = ff_font.createChar(dst_cp, dst_name) - ff_font.selection.select(dst_cp) - ff_font.paste() - g = ff_font[dst_cp] - - bb = g.boundingBox() - scale = target_h / (bb[3] - bb[1]) - g.transform(psMat.scale(scale)) - - if weight != 0: - g.correctDirection() - g.removeOverlap() - g.changeWeight(weight) - g.correctDirection() - g.addExtrema() - - # Centre the glyph's y-midpoint on MATH_AXIS so display-mode operators - # straddle the text baseline and MathJax places limits at expected positions. - bb2 = g.boundingBox() - g.transform(psMat.translate(0, MATH_AXIS - (bb2[3] + bb2[1]) / 2)) - - bb3 = g.boundingBox() - g.width = round(bb3[2] + rbear) - - print(f" U+{dst_cp:04X} ({dst_name}): scale={scale:.3f} weight={weight} " - f"bounds={g.boundingBox()} advance={g.width}") - - # ∑ (U+2211): Σ scaled to 1.0 × UPM, strokes thinned, centred on math axis - _make_largeop(0x03A3, 0x2211, 'summation', upem, weight=OP_WEIGHT, rbear=20) - # ∏ (U+220F): Π scaled to 1.0 × UPM, strokes thinned, centred on math axis - _make_largeop(0x03A0, 0x220F, 'product', upem, weight=OP_WEIGHT, rbear=5000) - # ∫ (U+222B): existing xkcd ∫ scaled to INTEGRAL_H, strokes thinned, centred - _make_largeop(0x222B, 0x222B, 'integral', INTEGRAL_H, weight=-15, rbear=5000) - - -def build_sqrt_glyphs(ff_font): - """Replace U+221A with hand-drawn surd; add U+E221 as the full long sqrt. - - Source: potrace of 2343_mathematical_symbol_fight_2x__long_sqrt.png - (170×61 px, potrace space 1700×610 units, Y-up convention). - - Coordinate transform (potrace → font units, UPM=856): - font_x = round(x_pot * 0.65 + 20) - font_y = round(y_pot * 1.228 − 101) - - U+221A: surd stroke only (potrace segs 1–11), closed with a straight bar - cap back to the start — the horizontal overline is handled by CSS in - mathjax-demo.html. - - U+E221: the complete surd+bar shape (segs 1–16, closes naturally at M). - Wide advance width so the glyph extends visually to the right. - """ - SX, OX = 0.65, 20 - SY, OY = 1.228, -101 - - def tx(x): return round(x * SX + OX) - def ty(y): return round(y * SY + OY) - - def draw_surd(pen, close_with_bar): - """Potrace segs 1–11: the surd tick + ascending stroke.""" - pen.moveTo((tx(845), ty(602))) - pen.curveTo((tx(844), ty(601)), (tx(727), ty(598)), (tx(586), ty(597))) - pen.curveTo((tx(377), ty(595)), (tx(327), ty(591)), (tx(316), ty(580))) - pen.curveTo((tx(305), ty(568)), (tx(269), ty(462)), (tx(254), ty(400))) - pen.curveTo((tx(237), ty(323)), (tx(165), ty(101)), (tx(160), ty(107))) - pen.curveTo((tx(156), ty(112)), (tx(142), ty(135)), (tx(129), ty(160))) - pen.curveTo((tx( 95), ty(224)), (tx( 70), ty(252)), (tx( 55), ty(240))) - pen.curveTo((tx( 45), ty(232)), (tx( 55), ty(203)), (tx( 97), ty(120))) - pen.curveTo((tx(127), ty( 59)), (tx(155), ty( 10)), (tx(158), ty( 10))) - pen.curveTo((tx(172), ty( 10)), (tx(186), ty( 26)), (tx(198), ty( 53))) - pen.curveTo((tx(208), ty( 76)), (tx(283), ty(325)), (tx(332), ty(500))) - pen.curveTo((tx(337), ty(519)), (tx(346), ty(539)), (tx(350), ty(544))) - if close_with_bar: - pen.lineTo((tx(350), ty(602))) - pen.closePath() - - def draw_bar(pen): - """Potrace segs 12–16: bar extending right, closing back to M(845,602).""" - pen.curveTo((tx( 355), ty(549)), (tx( 656), ty(554)), (tx(1020), ty(555))) - pen.curveTo((tx(1384), ty(557)), (tx(1684), ty(560)), (tx(1687), ty(563))) - pen.curveTo((tx(1690), ty(566)), (tx(1689), ty(577)), (tx(1686), ty(587))) - pen.curveTo((tx(1681), ty(604)), (tx(1658), ty(605)), (tx(1264), ty(605))) - pen.curveTo((tx(1036), ty(605)), (tx( 847), ty(604)), (tx( 845), ty(602))) - pen.closePath() - - def draw_serif(pen): - """Small left serif stroke (potrace path 1).""" - pen.moveTo((tx(0), ty(467))) - pen.curveTo((tx( 0), ty(430)), (tx( 3), ty(400)), (tx( 8), ty(400))) - pen.curveTo((tx(17), ty(400)), (tx(17), ty(516)), (tx( 7), ty(526))) - pen.curveTo((tx( 3), ty(530)), (tx( 0), ty(503)), (tx( 0), ty(467))) - pen.closePath() - - # --- U+221A: surd only --- - g = ff_font[0x221A] - g.clear() - pen = g.glyphPen() - draw_surd(pen, close_with_bar=True) - draw_serif(pen) - del pen - g.correctDirection() - g.removeOverlap() - g.addExtrema() - g.width = 570 - print(f" U+221A (radical): bounds={g.boundingBox()}, advance={g.width}") - - # --- U+E221: full long sqrt --- - try: - glong = ff_font[0xE221] - glong.clear() - except TypeError: - glong = ff_font.createChar(0xE221, 'longsqrt') - pen2 = glong.glyphPen() - draw_surd(pen2, close_with_bar=False) - draw_bar(pen2) - draw_serif(pen2) - del pen2 - glong.correctDirection() - glong.removeOverlap() - glong.addExtrema() - glong.width = tx(1750) - print(f" U+E221 (longsqrt): bounds={glong.boundingBox()}, advance={glong.width}") - - -def build_misc_glyphs(ff_font): - """Create U+22C5 (⋅, cdot): period scaled to 75%, centred on math axis.""" - ff_font.selection.select(ord('.')) - ff_font.copy() - try: - g = ff_font[0x22C5] - g.clear() - except TypeError: - g = ff_font.createChar(0x22C5, 'cdot') - ff_font.selection.select(0x22C5) - ff_font.paste() - g = ff_font[0x22C5] - - TARGET_W = 220 - g.transform(psMat.scale(0.75)) - bb = g.boundingBox() - cx = (bb[0] + bb[2]) / 2 - cy = (bb[1] + bb[3]) / 2 - g.transform(psMat.translate(TARGET_W / 2 - cx, MATH_AXIS - cy)) - g.correctDirection() - g.addExtrema() - g.width = TARGET_W - print(f" U+22C5 (cdot): bounds={g.boundingBox()}, advance={g.width}") - - - -# ── Phase A: fontforge — glyph editing ──────────────────────────────────────── -_tmp = tempfile.NamedTemporaryFile(suffix='.otf', delete=False) -FONT_TEMP = _tmp.name -_tmp.close() - -ff_font = fontforge.open(FONT_IN) -build_operator_glyphs(ff_font) -build_sqrt_glyphs(ff_font) -build_misc_glyphs(ff_font) -ff_font.generate(FONT_TEMP, flags=('opentype',)) -ff_font.close() -print(f"Phase A complete: intermediate OTF at {FONT_TEMP}") - -# ── Phase B: fontTools — cmap aliases + WOFF output ─────────────────────────── -font = TTFont(FONT_TEMP) -base_cmap = font.getBestCmap() -aliases = build_aliases() - -added = 0 -skipped = 0 -for src_cp, dst_cp in sorted(aliases.items()): - glyph = base_cmap.get(dst_cp) - if not glyph: - print(f" skip U+{dst_cp:04X} ({chr(dst_cp)!r}): no glyph in source font") - skipped += 1 - continue - for t in font['cmap'].tables: - if t.format == 4 and src_cp <= 0xFFFF: - t.cmap[src_cp] = glyph - elif t.format == 12: - t.cmap[src_cp] = glyph - added += 1 - -print(f"Added {added} aliases ({skipped} skipped — no source glyph)") - -font.flavor = 'woff' -font.save(FONT_OUT) -os.unlink(FONT_TEMP) -print(f"Saved {FONT_OUT}") diff --git a/xkcd-script/generator/pt6_derived_chars.py b/xkcd-script/generator/pt6_derived_chars.py index 28aef16..5762ddc 100644 --- a/xkcd-script/generator/pt6_derived_chars.py +++ b/xkcd-script/generator/pt6_derived_chars.py @@ -1298,6 +1298,122 @@ def _greek_lc_to_uc(font, lc_cp, uc_cp, snap=True, weight_delta=0): _g.width = _dx + font[_right].width +# --------------------------------------------------------------------------- +# Math cmap aliases (for MathJax / pasted Unicode math text) +# --------------------------------------------------------------------------- +# MathJax CHTML references math italic / bold / Greek codepoints directly +# (U+1D400-block). Rather than ship dedicated glyphs, we add cmap aliases so +# each math codepoint resolves to the existing Latin/Greek letterform. The +# aliases attach via glyph.altuni so no extra glyph entries are created — the +# size cost is only the additional cmap entries. + +def _add_altuni(glyph, codepoint): + cur = list(glyph.altuni) if glyph.altuni else [] + cur.append((codepoint, -1, 0)) + glyph.altuni = tuple(cur) + + +# Greek codepoint sequences for the U+1D6A8.. and U+1D6E2.. math blocks. +# Position 17 is the "capital theta symbol" slot, aliased back to plain Θ. +# 0x03A2 is a Unicode hole in the Greek block; the math block uses Σ in that slot. +_GREEK_UPPER = [ + 0x0391, 0x0392, 0x0393, 0x0394, 0x0395, 0x0396, 0x0397, 0x0398, + 0x0399, 0x039A, 0x039B, 0x039C, 0x039D, 0x039E, 0x039F, 0x03A0, + 0x03A1, 0x0398, 0x03A3, 0x03A4, 0x03A5, 0x03A6, 0x03A7, 0x03A8, 0x03A9, +] +_GREEK_LOWER = [ + 0x03B1, 0x03B2, 0x03B3, 0x03B4, 0x03B5, 0x03B6, 0x03B7, 0x03B8, + 0x03B9, 0x03BA, 0x03BB, 0x03BC, 0x03BD, 0x03BE, 0x03BF, 0x03C0, + 0x03C1, 0x03C2, 0x03C3, 0x03C4, 0x03C5, 0x03C6, 0x03C7, 0x03C8, 0x03C9, +] + +_math_aliases = {} # src_cp -> dst_cp + +# Math Italic Latin: U+1D434–U+1D467 (U+1D455 is a Unicode hole) +for _i in range(26): + _math_aliases[0x1D434 + _i] = 0x0041 + _i +for _i in range(26): + _src = 0x1D44E + _i + if _src != 0x1D455: + _math_aliases[_src] = 0x0061 + _i + +# TeX italic substitutes that fill the U+1D455 hole and similar +_math_aliases[0x210E] = ord('h') # ℎ PLANCK CONSTANT +_math_aliases[0x210F] = ord('h') # ℏ PLANCK CONSTANT OVER TWO PI (no ħ in math italic) +_math_aliases[0x2113] = ord('l') # ℓ SCRIPT SMALL L +_math_aliases[0x03D5] = 0x03C6 # ϕ GREEK PHI SYMBOL → φ + +# Math Bold Latin: U+1D400–U+1D433 +for _i in range(26): + _math_aliases[0x1D400 + _i] = 0x0041 + _i +for _i in range(26): + _math_aliases[0x1D41A + _i] = 0x0061 + _i + +# Math Bold Italic Latin: U+1D468–U+1D49B +for _i in range(26): + _math_aliases[0x1D468 + _i] = 0x0041 + _i +for _i in range(26): + _math_aliases[0x1D482 + _i] = 0x0061 + _i + +# Math Bold digits: U+1D7CE–U+1D7D7 +for _i in range(10): + _math_aliases[0x1D7CE + _i] = 0x0030 + _i + +# Math Italic Greek capitals: U+1D6E2–U+1D6FA, small: U+1D6FC–U+1D714 +for _i, _cp in enumerate(_GREEK_UPPER): + _math_aliases[0x1D6E2 + _i] = _cp +for _i, _cp in enumerate(_GREEK_LOWER): + _math_aliases[0x1D6FC + _i] = _cp + +# Math Italic Greek variants +_math_aliases[0x1D715] = 0x2202 # ∂ partial differential +_math_aliases[0x1D716] = 0x03F5 # ϵ epsilon symbol +_math_aliases[0x1D717] = 0x03B8 # θ theta symbol +_math_aliases[0x1D718] = 0x03BA # κ kappa symbol +_math_aliases[0x1D719] = 0x03C6 # φ phi symbol +_math_aliases[0x1D71A] = 0x03C1 # ρ rho symbol +_math_aliases[0x1D71B] = 0x03C0 # π pi symbol + +# Math Bold Greek capitals: U+1D6A8–U+1D6C0, small: U+1D6C2–U+1D6DA +for _i, _cp in enumerate(_GREEK_UPPER): + _math_aliases[0x1D6A8 + _i] = _cp +for _i, _cp in enumerate(_GREEK_LOWER): + _math_aliases[0x1D6C2 + _i] = _cp + +_added = 0 +_skipped = 0 +for _src_cp, _dst_cp in sorted(_math_aliases.items()): + try: + _g = font[_dst_cp] + except TypeError: + _skipped += 1 + continue + _add_altuni(_g, _src_cp) + _added += 1 +print(f" math aliases: added {_added}, skipped {_skipped} (no source glyph)") + + +# --------------------------------------------------------------------------- +# ⋅ U+22C5 DOT OPERATOR — period scaled to 75%, centred on the math axis. +# Used inline in math contexts (e.g. "5⋅3"); math-axis centring lines it up +# with operators like +/− rather than the baseline-hugging period dot. +# --------------------------------------------------------------------------- +_MATH_AXIS = 260 +_CDOT_WIDTH = 220 +_period_g = font[ord('.')] +_period_bb = _period_g.boundingBox() +_period_cx = (_period_bb[0] + _period_bb[2]) / 2 +_period_cy = (_period_bb[1] + _period_bb[3]) / 2 +_cdot = font.createMappedChar(0x22C5) +_cdot.clear() +_cdot.addReference(_period_g.glyphname, psMat.compose( + psMat.scale(0.75), + psMat.translate(_CDOT_WIDTH / 2 - _period_cx * 0.75, + _MATH_AXIS - _period_cy * 0.75), +)) +_cdot.width = _CDOT_WIDTH + + # --------------------------------------------------------------------------- # Save # --------------------------------------------------------------------------- diff --git a/xkcd-script/generator/pt7_font_properties.py b/xkcd-script/generator/pt7_font_properties.py index 6d81d8f..a4d7640 100644 --- a/xkcd-script/generator/pt7_font_properties.py +++ b/xkcd-script/generator/pt7_font_properties.py @@ -2,8 +2,8 @@ """ Apply font-wide properties: kerning, spacing, and any other metric tweaks. -Reads the SFD produced by pt6_derived_chars.py (which has all glyphs), -applies properties, saves. +Reads the SFD produced by pt6_derived_chars.py (which has all glyphs + the +math cmap aliases), applies properties, saves. """ import fontforge import unicodedata diff --git a/xkcd-script/generator/pt8_derivative_fonts.py b/xkcd-script/generator/pt8_derivative_fonts.py new file mode 100644 index 0000000..7b0533b --- /dev/null +++ b/xkcd-script/generator/pt8_derivative_fonts.py @@ -0,0 +1,120 @@ +# -*- coding: utf-8 -*- +""" +Build derivative font variants by mutating the base SFD produced by pt7. + +Each variant gets its own SFD output in ../generated/, which pt9 then +normalises and converts into the committed binary font files. + +Currently produces: + xkcd-script-mathjax-pt8.sfd + — pt7 + three display-sized large operators (∑, ∏, ∫) overriding the + inline forms. Everything else MathJax needs (math italic / bold cmap + aliases, the cdot, the hand-drawn √ surd) lives in the main + xkcd-script font (added in pt6) and is reached via font-fallback in + xkcd-mathjax.js. + +To add a new derivative font: write a builder function that mutates an +open SFD in place, then append it to VARIANTS. pt9 will pick it up +automatically as long as its sfd_in matches what's written here. +""" +import fontforge +import psMat + + +BASE_SFD = '../generated/xkcd-script-pt7.sfd' + +# y-position of the math axis (fraction-bar centre) in xkcd-script font units. +MATH_AXIS = 260 + + +# --------------------------------------------------------------------------- +# MathJax: display-sized large operators +# --------------------------------------------------------------------------- + +def add_mathjax_operators(ff_font): + """Override ∑, ∏, ∫ with display-mode-sized glyphs. + + MathJax CHTML uses the same Unicode codepoints for both inline and + display-mode large operators — display-mode sizing is achieved via CSS + font-size scaling plus different glyph metrics in MJXTEX-S1. Our + !important font-family override intercepts Size1 usage, so we supply + glyphs with appropriate metrics here. + + Tuning knobs (adjust and rebuild to iterate): + MATH_AXIS — module-level constant; y-position of the math axis. + OP_WEIGHT — stroke thinning for ∑/∏ after scale-up (negative = thinner). + INTEGRAL_H — display-mode ∫ height in font units. Current xkcd ∫ is + 951 (≈1.11 × UPM); Size1 fonts target ≈1.4–1.6 × UPM. + """ + upem = ff_font.em # 856 + + OP_WEIGHT = -20 + INTEGRAL_H = round(1.4 * upem) # ≈ 1198 + + def _make_largeop(src_cp, dst_cp, dst_name, target_h, weight=0, rbear=0): + """Scale src to target_h, optionally thin strokes, centre on MATH_AXIS. + + rbear: right bearing in font units (advance = right glyph edge + rbear). + Note: MathJax CHTML ignores the font advance width — it pre-bakes + character widths from its own JS metric tables, so rbear only + affects non-MathJax uses. Inline limit spacing in MathJax is + controlled via CSS margin-right in xkcd-mathjax.js instead. + """ + ff_font.selection.select(src_cp) + ff_font.copy() + try: + g = ff_font[dst_cp] + g.clear() + except TypeError: + g = ff_font.createChar(dst_cp, dst_name) + ff_font.selection.select(dst_cp) + ff_font.paste() + g = ff_font[dst_cp] + + bb = g.boundingBox() + scale = target_h / (bb[3] - bb[1]) + g.transform(psMat.scale(scale)) + + if weight != 0: + g.correctDirection() + g.removeOverlap() + g.changeWeight(weight) + g.correctDirection() + g.addExtrema() + + # Centre the glyph's y-midpoint on MATH_AXIS so display-mode operators + # straddle the text baseline and MathJax places limits at expected positions. + bb2 = g.boundingBox() + g.transform(psMat.translate(0, MATH_AXIS - (bb2[3] + bb2[1]) / 2)) + + bb3 = g.boundingBox() + g.width = round(bb3[2] + rbear) + + print(f" U+{dst_cp:04X} ({dst_name}): scale={scale:.3f} weight={weight} " + f"bounds={g.boundingBox()} advance={g.width}") + + # ∑ (U+2211): Σ scaled to 1.0 × UPM, strokes thinned, centred on math axis + _make_largeop(0x03A3, 0x2211, 'summation', upem, weight=OP_WEIGHT, rbear=20) + # ∏ (U+220F): Π scaled to 1.0 × UPM, strokes thinned, centred on math axis + _make_largeop(0x03A0, 0x220F, 'product', upem, weight=OP_WEIGHT, rbear=5000) + # ∫ (U+222B): existing xkcd ∫ scaled to INTEGRAL_H, strokes thinned, centred + _make_largeop(0x222B, 0x222B, 'integral', INTEGRAL_H, weight=-15, rbear=5000) + + +# --------------------------------------------------------------------------- +# Variants table +# --------------------------------------------------------------------------- + +VARIANTS = [ + ('xkcd-script-mathjax-pt8.sfd', add_mathjax_operators), +] + + +for out_name, builder in VARIANTS: + out_path = '../generated/' + out_name + print(f"=== Building {out_name} ===") + font = fontforge.open(BASE_SFD) + builder(font) + font.save(out_path) + font.close() + print(f" saved {out_path}") diff --git a/xkcd-script/generator/pt8_gen_reprod_font.py b/xkcd-script/generator/pt8_gen_reprod_font.py deleted file mode 100644 index f9d88cd..0000000 --- a/xkcd-script/generator/pt8_gen_reprod_font.py +++ /dev/null @@ -1,155 +0,0 @@ -""" -This script gives us reproducible builds of the fonts themselves, so that we don't recreate the font unnecessarily. - -""" -import datetime -import os -import calendar -from pathlib import Path - -import fontforge -from fontTools.ttLib import TTFont as _TTFont -from fontTools.pens.recordingPen import RecordingPen as _RecordingPen - - -base = '../font/' -sfd_in = '../generated/xkcd-script-pt7.sfd' -sfd_out = os.path.join(base, 'xkcd-script.sfd') -otf = os.path.join(base, 'xkcd-script.otf') -ttf = os.path.join(base, 'xkcd-script.ttf') -woff = os.path.join(base, 'xkcd-script.woff') - -then_utc = datetime.datetime(2000, 1, 1, 0, 0) -then_str = 'Sat Jan 1 00:00:00 2000' -then_unix = calendar.timegm(then_utc.timetuple()) - -content = [] -with open(sfd_in, 'rb') as fh_in: - for line in fh_in: - try: - line = line.decode('utf-8') - except UnicodeDecodeError: - content.append(line) - continue - - if line.startswith('%%CreationDate'): - line = '%%CreationDate: ' + then_str + '\n' - - if line.startswith('CreationTime:'): - line = 'CreationTime: ' + str(then_unix) + '\n' - - if line.startswith('ModificationTime:'): - line = 'ModificationTime: ' + str(then_unix) + '\n' - - if line.startswith('XUID:'): - line = 'XUID: [-1]\n' - - if 'Created with FontForge (http://fontforge.org)' in line: - if line.startswith('UComments:'): - line = 'UComments: "Created with FontForge (http://fontforge.org)"\n' - else: - line = '% Created with FontForge (http://fontforge.org)\n' - - if 'Generated by FontForge' in line: - continue - - content.append(line.encode('utf-8')) - -Path(base).mkdir(exist_ok=True) -with open(sfd_out, 'wb') as fh_out: - for line in content: - fh_out.write(line) - -os.utime(sfd_out, (then_unix, then_unix)) - -font = fontforge.open(sfd_out) - -# Pin the UniqueID so FontForge doesn't embed a build date (breaks reproducibility). -font.sfnt_names = (('English (US)', 'UniqueID', 'xkcd Script'), ) -font.xuid = "-1" - -# Read the currently-committed OTF as a reference *before* overwriting it. -# FontForge re-hints all glyphs at generate() time; with more glyphs present -# it produces slightly different per-glyph hint programs for existing Latin -# glyphs, causing sub-pixel rendering differences in unchanged text. -# We fix this by replacing every charstring that already existed with the -# version from the committed font (hints and all), with subr calls inlined so -# subr-index differences between old and new fonts don't matter. -_ref_otf = None -if os.path.exists(otf): - _ref_otf = _TTFont(otf) - -font.generate(otf) -font.generate(ttf) -font.generate(woff) - -if _ref_otf is not None: - def _subr_bias(n): - return 107 if n < 1240 else (1131 if n < 33900 else 32768) - - def _inline_subrs(program, subrs, bias): - """Return program with all callsubr tokens replaced by inlined subr bodies.""" - out = [] - for token in program: - if token == 'callsubr': - idx = out.pop() + bias - sub = subrs[idx] - sub.decompile() - inlined = _inline_subrs(sub.program, subrs, bias) - if inlined and inlined[-1] == 'return': - inlined = inlined[:-1] - out.extend(inlined) - else: - out.append(token) - return out - - _ref_top = _ref_otf['CFF '].cff.topDictIndex[0] - _ref_cs = _ref_top.CharStrings - _ref_subrs = _ref_top.Private.Subrs - _ref_bias = _subr_bias(len(_ref_subrs)) - - _new_otf = _TTFont(otf, recalcTimestamp=False) - - # Pin the UniqueID so FontForge doesn't embed a build date (breaks reproducibility). - _new_otf.sfnt_names = (('English (US)', 'UniqueID', 'xkcd Script'), ) - _new_otf.xuid = "-1" - - _new_cs = _new_otf['CFF '].cff.topDictIndex[0].CharStrings - - _ref_glyphs = _ref_otf.getGlyphSet() - _new_glyphs = _new_otf.getGlyphSet() - - for _name in _ref_cs.keys(): - if _name not in _new_cs: - continue - # Only freeze glyphs whose outlines are unchanged. If the path - # differs the glyph was intentionally modified and fontforge's new - # hints should be kept. - _rp_ref = _RecordingPen(); _ref_glyphs[_name].draw(_rp_ref) - _rp_new = _RecordingPen(); _new_glyphs[_name].draw(_rp_new) - if _rp_ref.value != _rp_new.value: - continue - _cs = _ref_cs[_name] - _cs.decompile() - _inlined = _inline_subrs(_cs.program, _ref_subrs, _ref_bias) - _new_cs[_name].program = _inlined - _new_cs[_name].bytecode = None - - # Desubroutinize every charstring that was not frozen above (e.g. newly - # added glyphs whose bytecode still contains callsubr tokens from FontForge). - # This makes the output stable: on the next CI run those charstrings are - # already inlined in the reference, so _inline_subrs is a no-op and the - # saved bytes are identical. - _new_top = _new_otf['CFF '].cff.topDictIndex[0] - _new_subrs = getattr(_new_top.Private, 'Subrs', []) - _new_bias = _subr_bias(len(_new_subrs)) - for _name in _new_cs.keys(): - _cs = _new_cs[_name] - if _cs.bytecode is not None: - _cs.decompile() - if _cs.program is None: - continue - _cs.program = _inline_subrs(_cs.program, _new_subrs, _new_bias) - _cs.bytecode = None - - _new_otf.save(otf) diff --git a/xkcd-script/generator/pt9_gen_reprod_font.py b/xkcd-script/generator/pt9_gen_reprod_font.py new file mode 100644 index 0000000..3cf9932 --- /dev/null +++ b/xkcd-script/generator/pt9_gen_reprod_font.py @@ -0,0 +1,226 @@ +""" +Produce reproducible binary fonts (OTF / TTF / WOFF) from the SFDs left in +generated/ by earlier pipeline steps. + +Each variant in VARIANTS is processed independently: + 1. Scrub timestamps + XUID from the input SFD so FontForge can't bake + build-time metadata into the output. + 2. Save the scrubbed SFD (canonical for the main font; intermediate for + derivative variants). + 3. Open with FontForge, pin sfnt UniqueID + XUID, generate the requested + output formats. + 4. (OTF only, when freeze_cff is set) inline the committed reference + OTF's charstrings byte-for-byte for any glyph whose outline is + unchanged — keeps subpixel hint rendering stable across rebuilds + even when other glyphs are added. + +To add a new derivative font: append a new entry to VARIANTS pointing at +the SFD that pt8_derivative_fonts.py wrote. +""" +import datetime +import os +import calendar +from pathlib import Path + +import fontforge +from fontTools.ttLib import TTFont as _TTFont +from fontTools.pens.recordingPen import RecordingPen as _RecordingPen + + +GENERATED = '../generated/' +FONT_DIR = '../font/' + +_then_str = 'Sat Jan 1 00:00:00 2000' +_then_unix = calendar.timegm(datetime.datetime(2000, 1, 1, 0, 0).timetuple()) + + +VARIANTS = [ + { + 'name': 'xkcd-script', + 'sfd_in': GENERATED + 'xkcd-script-pt7.sfd', + 'sfd_out': FONT_DIR + 'xkcd-script.sfd', # canonical, committed + 'formats': ['otf', 'ttf', 'woff'], + 'freeze_cff': True, + }, + { + 'name': 'xkcd-script-mathjax', + 'sfd_in': GENERATED + 'xkcd-script-mathjax-pt8.sfd', + 'sfd_out': GENERATED + 'xkcd-script-mathjax.sfd', # intermediate, not committed + 'formats': ['woff'], + 'freeze_cff': False, + }, +] + + +# --------------------------------------------------------------------------- +# SFD scrubbing — strip build-time metadata so FontForge produces stable bytes +# --------------------------------------------------------------------------- + +def scrub_sfd(sfd_in, sfd_out): + content = [] + with open(sfd_in, 'rb') as fh_in: + for line in fh_in: + try: + line = line.decode('utf-8') + except UnicodeDecodeError: + content.append(line) + continue + + if line.startswith('%%CreationDate'): + line = '%%CreationDate: ' + _then_str + '\n' + if line.startswith('CreationTime:'): + line = 'CreationTime: ' + str(_then_unix) + '\n' + if line.startswith('ModificationTime:'): + line = 'ModificationTime: ' + str(_then_unix) + '\n' + if line.startswith('XUID:'): + line = 'XUID: [-1]\n' + if 'Created with FontForge (http://fontforge.org)' in line: + if line.startswith('UComments:'): + line = 'UComments: "Created with FontForge (http://fontforge.org)"\n' + else: + line = '% Created with FontForge (http://fontforge.org)\n' + if 'Generated by FontForge' in line: + continue + + content.append(line.encode('utf-8')) + + Path(os.path.dirname(sfd_out)).mkdir(exist_ok=True) + with open(sfd_out, 'wb') as fh_out: + for line in content: + fh_out.write(line) + os.utime(sfd_out, (_then_unix, _then_unix)) + + +# --------------------------------------------------------------------------- +# CFF charstring freezing — preserve hint rendering for unchanged glyphs +# --------------------------------------------------------------------------- +# FontForge re-hints every glyph at generate() time; adding new glyphs to the +# font perturbs the hint program for *existing* glyphs, which shifts their +# subpixel rasterisation. We freeze each unchanged glyph by overwriting its +# fresh charstring with the byte-identical program from the previously +# committed OTF (subr calls inlined so subr-index differences don't matter). + +def _subr_bias(n): + return 107 if n < 1240 else (1131 if n < 33900 else 32768) + + +def _inline_subrs(program, subrs, bias): + out = [] + for token in program: + if token == 'callsubr': + idx = out.pop() + bias + sub = subrs[idx] + sub.decompile() + inlined = _inline_subrs(sub.program, subrs, bias) + if inlined and inlined[-1] == 'return': + inlined = inlined[:-1] + out.extend(inlined) + else: + out.append(token) + return out + + +def freeze_cff(otf_path, name, ref_otf): + """Inline ref_otf's charstrings into otf_path for any unchanged glyph, + then desubroutinize all remaining charstrings (so the next run's reference + is already inlined and the saved bytes match exactly).""" + _ref_top = ref_otf['CFF '].cff.topDictIndex[0] + _ref_cs = _ref_top.CharStrings + _ref_subrs = _ref_top.Private.Subrs + _ref_bias = _subr_bias(len(_ref_subrs)) + + _new_otf = _TTFont(otf_path, recalcTimestamp=False) + _new_otf.sfnt_names = (('English (US)', 'UniqueID', name), ) + _new_otf.xuid = "-1" + + _new_cs = _new_otf['CFF '].cff.topDictIndex[0].CharStrings + _ref_glyphs = ref_otf.getGlyphSet() + _new_glyphs = _new_otf.getGlyphSet() + + for _name in _ref_cs.keys(): + if _name not in _new_cs: + continue + # Only freeze glyphs whose outlines are unchanged. If the path differs + # the glyph was intentionally modified and FontForge's new hints should + # be kept. + _rp_ref = _RecordingPen(); _ref_glyphs[_name].draw(_rp_ref) + _rp_new = _RecordingPen(); _new_glyphs[_name].draw(_rp_new) + if _rp_ref.value != _rp_new.value: + continue + _cs = _ref_cs[_name] + _cs.decompile() + _inlined = _inline_subrs(_cs.program, _ref_subrs, _ref_bias) + _new_cs[_name].program = _inlined + _new_cs[_name].bytecode = None + + # Desubroutinize every remaining charstring so subsequent runs' references + # are already inlined → byte-identical re-encoding. + _new_top = _new_otf['CFF '].cff.topDictIndex[0] + _new_subrs = getattr(_new_top.Private, 'Subrs', []) + _new_bias = _subr_bias(len(_new_subrs)) + for _name in _new_cs.keys(): + _cs = _new_cs[_name] + if _cs.bytecode is not None: + _cs.decompile() + if _cs.program is None: + continue + _cs.program = _inline_subrs(_cs.program, _new_subrs, _new_bias) + _cs.bytecode = None + + _new_otf.save(otf_path) + + +# --------------------------------------------------------------------------- +# Per-variant build +# --------------------------------------------------------------------------- + +Path(FONT_DIR).mkdir(exist_ok=True) + +for v in VARIANTS: + name = v['name'] + print(f"=== {name} ===") + + scrub_sfd(v['sfd_in'], v['sfd_out']) + + font = fontforge.open(v['sfd_out']) + font.sfnt_names = (('English (US)', 'UniqueID', name),) + font.xuid = "-1" + + out_base = FONT_DIR + name + formats = set(v['formats']) + + # Every variant goes through OTF first. If 'otf' is a requested output + # format, that's the final committed path; otherwise it's a temp file in + # generated/. WOFF is then always derived from this OTF via fontTools + # (FontForge's WOFF writer fails on heavily-modified SFDs). + keep_otf = 'otf' in formats + otf_path = (out_base + '.otf') if keep_otf else (GENERATED + name + '-intermediate.otf') + + # Snapshot the existing OTF (if any) before overwriting, for CFF freezing. + ref_otf = None + if v['freeze_cff'] and keep_otf and os.path.exists(otf_path): + ref_otf = _TTFont(otf_path) + + font.generate(otf_path, flags=('opentype',)) + print(f" generated {otf_path}" + ('' if keep_otf else ' (intermediate)')) + + if 'ttf' in formats: + ttf_path = out_base + '.ttf' + font.generate(ttf_path) + print(f" generated {ttf_path}") + + font.close() + + if ref_otf is not None: + freeze_cff(otf_path, name, ref_otf) + print(f" froze CFF for {otf_path}") + + if 'woff' in formats: + woff_path = out_base + '.woff' + wrapped = _TTFont(otf_path, recalcTimestamp=False) + wrapped.flavor = 'woff' + wrapped.save(woff_path) + print(f" generated {woff_path} (wrapped from OTF)") + + if not keep_otf: + os.unlink(otf_path) diff --git a/xkcd-script/generator/run.sh b/xkcd-script/generator/run.sh index 9cc80cc..e6bc4ce 100755 --- a/xkcd-script/generator/run.sh +++ b/xkcd-script/generator/run.sh @@ -18,6 +18,5 @@ set -ex [ "$FROM" -le 5 ] && $RUN_CTXT python3 pt5_svg_to_font.py [ "$FROM" -le 6 ] && $RUN_CTXT python3 pt6_derived_chars.py [ "$FROM" -le 7 ] && $RUN_CTXT python3 pt7_font_properties.py -[ "$FROM" -le 8 ] && $RUN_CTXT python3 pt8_gen_reprod_font.py - -# $RUN_CTXT python3 gen_mathjax_font.py +[ "$FROM" -le 8 ] && $RUN_CTXT python3 pt8_derivative_fonts.py +[ "$FROM" -le 9 ] && $RUN_CTXT python3 pt9_gen_reprod_font.py diff --git a/xkcd-script/samples/math/.gitignore b/xkcd-script/samples/math/.gitignore new file mode 100644 index 0000000..c2658d7 --- /dev/null +++ b/xkcd-script/samples/math/.gitignore @@ -0,0 +1 @@ +node_modules/ diff --git a/xkcd-script/samples/math/Dockerfile b/xkcd-script/samples/math/Dockerfile new file mode 100644 index 0000000..98b819b --- /dev/null +++ b/xkcd-script/samples/math/Dockerfile @@ -0,0 +1,29 @@ +# Image for generating / verifying the MathJax sample renders. +# +# Based on Microsoft's official Playwright image so Chromium, its system +# dependencies, and the font-rendering stack (fontconfig, libfreetype, +# noto/dejavu fallbacks) are pinned to a known good combination. +# +# Tag must match the `playwright` version in package.json so that the +# Chromium bundled in this image matches the API client used by generate.js. + +FROM mcr.microsoft.com/playwright:v1.49.1-noble + +# Everything happens under /work; the runner script bind-mounts the repo +# root here so the static server can serve xkcd-mathjax.js and the woff +# files from the live working tree. +WORKDIR /work/xkcd-script/samples/math + +# Pre-warm node_modules in the image so cold runs don't re-fetch every time. +# The COPY brings in only the install manifests so this layer is invalidated +# only when deps actually change. +COPY 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{ "name": "display-sum-closed", "tex": "\\sum_{k=1}^{n} k = \\frac{n(n+1)}{2}", "display": true }, + { "name": "display-int-exp", "tex": "\\int_0^\\infty e^{-x}\\,dx = 1", "display": true }, + { "name": "display-euler-product", "tex": "\\prod_{p\\;\\text{prime}} \\frac{1}{1-p^{-s}} = \\sum_{n=1}^{\\infty} \\frac{1}{n^s}", "display": true }, + + { "name": "quadratic-formula", "tex": "x = \\frac{-b \\pm \\sqrt{b^2 - 4ac}}{2a}", "display": true }, + { "name": "pythagoras", "tex": "a^2 + b^2 = c^2" }, + { "name": "binomial-theorem", "tex": "\\sum_{k=0}^{n} \\binom{n}{k} x^k y^{n-k} = (x + y)^n", "display": true }, + + { "name": "derivative-definition", "tex": "f'(x) = \\lim_{h \\to 0} \\frac{f(x+h) - f(x)}{h}", "display": true }, + { "name": "gaussian-integral", "tex": "\\int_{-\\infty}^{\\infty} e^{-x^2}\\,dx = \\sqrt{\\pi}", "display": true }, + { "name": "product-rule", "tex": "\\dfrac{d}{dx}\\bigl[f(x)\\,g(x)\\bigr] = f'(x)\\,g(x) + f(x)\\,g'(x)" }, + + { "name": "eulers-identity", "tex": "e^{i\\pi} + 1 = 0" }, + { "name": "greek-letters", "tex": "\\alpha,\\ \\beta,\\ \\gamma,\\ \\delta,\\ \\varepsilon,\\ \\zeta,\\ \\eta,\\ \\theta,\\ \\iota,\\ \\kappa,\\ \\lambda,\\ \\mu,\\ \\nu,\\ \\xi,\\ \\pi,\\ \\rho,\\ \\sigma,\\ \\tau,\\ \\upsilon,\\ \\phi,\\ \\chi,\\ \\psi,\\ \\omega" }, + { "name": "fourier-transform", "tex": "\\hat{f}(\\xi) = \\int_{-\\infty}^{\\infty} f(x)\\,e^{-2\\pi i x \\xi}\\,dx", "display": true }, + + { "name": "schrodinger", "tex": "i\\hbar\\frac{\\partial\\psi}{\\partial t} = \\hat{H}\\psi", "display": true }, + { "name": "maxwell-free-space", "tex": "\\nabla \\cdot \\mathbf{E} = 0 \\qquad \\nabla \\times \\mathbf{E} = -\\frac{\\partial \\mathbf{B}}{\\partial t}", "display": true }, + + { "name": "deeply-nested-sqrt", "tex": "\\sqrt{\\frac{b^2}{\\frac{b^2}{\\frac{b^2}{\\frac{b^2}{4ac}}}}}", "display": true }, + { "name": "sqrt-pi-short", "tex": "\\sqrt{\\pi}" } +] diff --git a/xkcd-script/samples/math/fourier-transform.png 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Use `git diff` / + * `git status` to see what changed. + */ + +const fs = require('fs'); +const path = require('path'); +const http = require('http'); +const url = require('url'); +const { chromium } = require('playwright'); + +const HERE = __dirname; +const REPO_ROOT = path.resolve(HERE, '..', '..', '..'); +const FORMULAS = JSON.parse(fs.readFileSync(path.join(HERE, 'formulas.json'), 'utf8')); + +// Pixels of whitespace padding around each formula (CSS pixels; effective +// raster padding is PAD * DEVICE_SCALE). +const PAD = 16; +// Output raster density. Layout (font-size, line-height, clip box) stays +// identical to a real 22px render; only the bitmap resolution doubles. +const DEVICE_SCALE = 2; + +// ── Per-formula HTML (served inline; no separate template file) ───────────── +function renderTemplate(tex, display) { + const json = s => JSON.stringify(s); + return ` + + + + + + +
+ +`; +} + +// ── Static server: inline HTML at /sample, files from repo root elsewhere ──── +const MIME = { + '.js': 'application/javascript; charset=utf-8', + '.json': 'application/json; charset=utf-8', + '.css': 'text/css; charset=utf-8', + '.woff': 'font/woff', '.woff2': 'font/woff2', + '.otf': 'font/otf', '.ttf': 'font/ttf', + '.png': 'image/png', '.svg': 'image/svg+xml', +}; + +function startServer() { + return new Promise(resolve => { + const server = http.createServer((req, res) => { + const parsed = url.parse(req.url, true); + if (parsed.pathname === '/sample') { + res.writeHead(200, { 'Content-Type': 'text/html; charset=utf-8', + 'Cache-Control': 'no-store' }); + res.end(renderTemplate(parsed.query.tex || '', + parsed.query.display === '1')); + return; + } + const safe = path.normalize(decodeURIComponent(parsed.pathname)) + .replace(/^([/\\])+/, ''); + const filePath = path.join(REPO_ROOT, safe); + if (!filePath.startsWith(REPO_ROOT)) { + res.writeHead(403); res.end('forbidden'); return; + } + fs.readFile(filePath, (err, data) => { + if (err) { res.writeHead(404); res.end('not found'); return; } + res.writeHead(200, { + 'Content-Type': MIME[path.extname(filePath).toLowerCase()] + || 'application/octet-stream', + 'Cache-Control': 'no-store', + }); + res.end(data); + }); + }); + server.listen(0, '127.0.0.1', () => resolve(server)); + }); +} + +// ── Render one formula → PNG buffer ────────────────────────────────────────── +async function renderOne(page, baseUrl, entry) { + const display = entry.display ? '1' : '0'; + await page.goto(`${baseUrl}/sample?tex=${encodeURIComponent(entry.tex)}&display=${display}`, + { waitUntil: 'load' }); + await page.waitForFunction(() => window.__xkcdReady === true, null, + { timeout: 15000 }); + await page.evaluate(() => document.fonts.ready); + + const box = await page.locator('mjx-container').first().boundingBox(); + const clip = { + x: Math.max(0, Math.floor(box.x) - PAD), + y: Math.max(0, Math.floor(box.y) - PAD), + width: Math.ceil(box.width) + 2 * PAD, + height: Math.ceil(box.height) + 2 * PAD, + }; + return await page.screenshot({ clip }); +} + +// ── Main ───────────────────────────────────────────────────────────────────── +(async () => { + const server = await startServer(); + const baseUrl = `http://127.0.0.1:${server.address().port}`; + + const browser = await chromium.launch(); + const context = await browser.newContext({ + viewport: { width: 1200, height: 600 }, + deviceScaleFactor: DEVICE_SCALE, + }); + const page = await context.newPage(); + + for (const entry of FORMULAS) { + const buf = await renderOne(page, baseUrl, entry); + fs.writeFileSync(path.join(HERE, `${entry.name}.png`), buf); + console.log(`wrote ${entry.name}.png`); + } + + await browser.close(); + server.close(); + console.log(`\n${FORMULAS.length} sample${FORMULAS.length === 1 ? 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It loads + * the two woff files from URLs resolved relative to its own src, injects the + * font-override CSS, and hooks MathJax's startup so the initial typeset is + * post-processed. Works whether MathJax loads before or after this script. + * + * ── Usage (plain HTML) ────────────────────────────────────────────────────── + * + * + * + * + * + * + * + * ── Usage (Jupyter / JupyterLab, which ships its own MathJax 3) ───────────── + * from IPython.display import HTML, display + * display(HTML('')) + * # Then any subsequent Markdown / Latex cells render with xkcd-script. + * + * ── Public API on window.XkcdMathJax ──────────────────────────────────────── + * refresh(root?) — re-run sqrt / vinculum overlay placement. Call + * after any MathJax.typesetPromise() of dynamic + * content. Idempotent. + * ready — Promise that resolves once the initial typeset and + * first overlay pass have completed. + * resetOverlays(root?) — strip overlays + restore hidden elements (used + * internally on resize; exposed for advanced use). + * + * ── Configuration (optional) ──────────────────────────────────────────────── + * Set BEFORE loading this script: + * window.XkcdMathJaxConfig = { fontBase: 'https://your-host/fonts/' }; + * fontBase is prepended to the woff filenames. If unset, fonts are loaded + * relative to this script's own src (assumes font/*.woff sits next to it). + */ +(function () { + 'use strict'; + + // ── Locate our own URL so we can resolve sibling woff files ───────────── + const cfg = window.XkcdMathJaxConfig || {}; + function _scriptBase() { + if (cfg.fontBase) return cfg.fontBase; + const cur = document.currentScript; + if (cur && cur.src) { + return cur.src.replace(/[^/]*$/, '') + 'font/'; + } + // Fallback: locate any