feat: Add commonly used physics macros

docs/support_table.md

@@ -69,6 +69,8 @@ $\gdef\VERT{|}$
 |\aa|$\text{\aa}$|`\text{\aa}`|
 |\above|${a \above{2pt} b+1}$|`{a \above{2pt} b+1}`|
 |\abovewithdelims|<span style="color:firebrick;">Not supported</span>||
+|\abs|$\abs{a}$|`\abs{a}`|
+|\Abs|$\Abs{\frac{a}{b}}$|`\Abs{\frac{a}{b}}`|
 |\acute|$\acute e$|`\acute e`|
 |\AE|$\text{\AE}$|`\text{\AE}`|
 |\ae|$\text{\ae}$|`\text{\ae}`|
@@ -281,12 +283,14 @@ use `\ce` instead|
 |\cotg|$\cotg$||
 |\coth|$\coth$||
 |\cr|$\begin{matrix} a & b\cr c & d \end{matrix}$|`\begin{matrix}`<br>&nbsp;&nbsp;&nbsp;`a & b \cr`<br>&nbsp;&nbsp;&nbsp;`c & d`<br>`\end{matrix}`|
+|\crossproduct|$\crossproduct$||
 |\csc|$\csc$||
 |\cssId|<span style="color:firebrick;">Not supported</span>|A PR is pending.
 |\ctg|$\ctg$||
 |\cth|$\cth$||
 |\Cup|$\Cup$||
 |\cup|$\cup$||
+|\curl|$\curl{E}$|`\curl{E}`|
 |\curlyeqprec|$\curlyeqprec$||
 |\curlyeqsucc|$\curlyeqsucc$||
 |\curlyvee|$\curlyvee$||
@@ -312,6 +316,7 @@ use `\ce` instead|
 |\dbinom|$\dbinom n k$|`\dbinom n k`|
 |\dblcolon|$\dblcolon$||
 |{dcases}|$\begin{dcases}a&\text{if }b\\c&\text{if }d\end{dcases}$|`\begin{dcases}`<br>&nbsp;&nbsp;&nbsp;`a &\text{if } b \\`<br>&nbsp;&nbsp;&nbsp;`c &\text{if } d`<br>`\end{dcases}`|
+|\dd|$\dd$||
 |\ddag|$\ddag$||
 |\ddagger|$\ddagger$||
 |\ddddot|<span style="color:firebrick;">Not supported</span>||
@@ -339,12 +344,14 @@ use `\ce` instead|
 |\displaylines|<span style="color:firebrick;">Not supported</span>||
 |\displaystyle|$\displaystyle\sum_0^n$|`\displaystyle\sum_0^n`|
 |\div|$\div$||
+|\divergence|$\divergence{B}$|`\divergence{B}`|
 |\divideontimes|$\divideontimes$||
 |\dot|$\dot x$|`\dot x`|
 |\Doteq|$\Doteq$||
 |\doteq|$\doteq$||
 |\doteqdot|$\doteqdot$||
 |\dotplus|$\dotplus$||
+|\dotproduct|$\dotproduct$||
 |\dots|$x_1 + \dots + x_n$|`x_1 + \dots + x_n`|
 |\dotsb|$x_1 +\dotsb + x_n$|`x_1 +\dotsb + x_n`|
 |\dotsc|$x,\dotsc,y$|`x,\dotsc,y`|
@@ -399,6 +406,7 @@ use `\ce` instead|
 |\eta|$\eta$||
 |\eth|$\eth$||
 |\euro|<span style="color:firebrick;">Not supported</span>||
+|\eval|$f(x)\eval{0}{1}$|`f(x)\eval{0}{1}`|
 |\exist|$\exist$||
 |\exists|$\exists$||
 |\exp|$\exp$||
@@ -446,6 +454,7 @@ use `\ce` instead|
 |\gggtr|$\gggtr$||
 |\gimel|$\gimel$||
 |\global|$\global\def\add#1#2{#1+#2} \add 2 3$|`\global\def\add#1#2{#1+#2} \add 2 3`|
+|\gradient|$\gradient{\psi}$|`\gradient{\psi}`|
 |\gnapprox|$\gnapprox$||
 |\gneq|$\gneq$||
 |\gneqq|$\gneqq$||
@@ -557,6 +566,7 @@ use `\ce` instead|
 |\land|$\land$||
 |\lang|$\lang A\rangle$|`\lang A\rangle`|
 |\langle|$\langle A\rangle$|`\langle A\rangle`|
+|\laplacian|$\laplacian{\psi}$|`\laplacian{\psi}`|
 |\Larr|$\Larr$||
 |\lArr|$\lArr$||
 |\larr|$\larr$||
@@ -752,6 +762,8 @@ use `\ce` instead|
 |\noexpand|||
 |\nolimits|$\lim\nolimits_x$|`\lim\nolimits_x`|
 |\nonumber|$$\begin{align}a&=b+c\nonumber\\d+e&=f\end{align}$$|`\begin{align}`<br>&nbsp;&nbsp;&nbsp;`a&=b+c \nonumber\\`<br>&nbsp;&nbsp;&nbsp;`d+e&=f`<br>`\end{align}`|
+|\norm|$\norm{a}$|`\norm{a}`|
+|\Norm|$\Norm{\frac{a}{b}}$|`\Norm{\frac{a}{b}}`|
 |\normalfont|<span style="color:firebrick;">Not supported</span>||
 |\normalsize|$\normalsize normalsize$|`\normalsize normalsize`|
 |\not|$\not =$|`\not =`|
@@ -888,6 +900,7 @@ use `\ce` instead|
 |\rang|$\langle A\rang$|`\langle A\rang`|
 |\rangle|$\langle A\rangle$|`\langle A\rangle`|
 |\Rarr|$\Rarr$||
+|\rank|$\rank$||
 |\rArr|$\rArr$||
 |\rarr|$\rarr$||
 |\ratio|$\ratio$||
@@ -897,6 +910,7 @@ use `\ce` instead|
 |{rcases}|$\begin{rcases}a&\text{if }b\\c&\text{if }d\end{rcases}$|`\begin{rcases}`<br>&nbsp;&nbsp;&nbsp;`a &\text{if } b \\`<br>&nbsp;&nbsp;&nbsp;`c &\text{if } d`<br>`\end{rcases}`|
 |\rceil|$\rceil$||
 |\Re|$\Re$||
+|\Res|$\Res||
 |\real|$\real$||
 |\Reals|$\Reals$||
 |\reals|$\reals$||
@@ -1110,6 +1124,9 @@ use `\ce` instead|
 |\to|$\to$||
 |\toggle|<span style="color:firebrick;">Not supported</span>||
 |\top|$\top$||
+|\tr|$\tr$||
+|\Tr|$\Tr$||
+|\trace|$\trace$||
 |\triangle|$\triangle$||
 |\triangledown|$\triangledown$||
 |\triangleleft|$\triangleleft$||
@@ -1201,6 +1218,7 @@ use `\ce` instead|
 |\vartriangleright|$\vartriangleright$||
 |\varUpsilon|$\varUpsilon$||
 |\varXi|$\varXi$||
+|\vb|$\vb{a}$|`\vb{a}`|
 |\vcentcolon|$\mathrel{\vcentcolon =}$|`\mathrel{\vcentcolon =}`|
 |\vcenter|$a+\left(\vcenter{\frac{\frac a b}c}\right)$|`a+\left(\vcenter{\hbox{$\frac{\frac a b}c$}}\right)`<br>TeX (strict) syntax|
 |\vcenter|$a+\left(\vcenter{\frac{\frac a b}c}\right)$|`a+\left(\vcenter{\frac{\frac a b}c}\right)`<br>non-strict syntax|
@@ -1209,6 +1227,9 @@ use `\ce` instead|
 |\vdash|$\vdash$||
 |\vdots|$\vdots$||
 |\vec|$\vec{F}$|`\vec{F}`|
+|\vectorarrow|$\vectorarrow{a}$|`\vectorarrow{a}`|
+|\vectorbold|$\vectorbold{a}$|`\vectorbold{a}`|
+|\vectorunit|$\vectorunit{a}$|`\vectorunit{a}`|
 |\vee|$\vee$||
 |\veebar|$\veebar$||
 |\verb|$\verb!\frac a b!$|`\verb!\frac a b!`|

docs/supported.md

@@ -415,14 +415,17 @@ Direct Input: $+ - / * ⋅ ∘ ∙ ± × ÷ ∓ ∔ ∧ ∨ ∩ ∪ ≀ ⊎ ⊓
 
 |||||
 |:--------------------|:--------------------|:----------------|:--------------|
-| $\arcsin$ `\arcsin` | $\cosec$ `\cosec` | $\deg$ `\deg` | $\sec$ `\sec` |
-| $\arccos$ `\arccos` | $\cosh$ `\cosh` | $\dim$ `\dim` | $\sin$ `\sin` |
-| $\arctan$ `\arctan` | $\cot$ `\cot` | $\exp$ `\exp` | $\sinh$ `\sinh` |
-| $\arctg$ `\arctg` | $\cotg$ `\cotg` | $\hom$ `\hom` | $\sh$ `\sh` |
-| $\arcctg$ `\arcctg` | $\coth$ `\coth` | $\ker$ `\ker` | $\tan$ `\tan` |
-| $\arg$ `\arg` | $\csc$ `\csc` | $\lg$ `\lg` | $\tanh$ `\tanh` |
-| $\ch$ `\ch` | $\ctg$ `\ctg` | $\ln$ `\ln` | $\tg$ `\tg` |
-| $\cos$ `\cos` | $\cth$ `\cth` | $\log$ `\log` | $\th$ `\th` |
+| $\abs{a}$ `\abs{a}` | $\cosh$ `\cosh` | $f\eval{0}{1}$ `f\eval{0}{1}` | $\sin$ `\sin` |
+| $\Abs{a}$ `\Abs{a}` | $\cot$ `\cot` | $\hom$ `\hom` | $\sinh$ `\sinh` |
+| $\arcsin$ `\arcsin` | $\cotg$ `\cotg` | $\ker$ `\ker` | $\sh$ `\sh` |
+| $\arccos$ `\arccos` | $\coth$ `\coth` | $\lg$ `\lg` | $\tan$ `\tan` |
+| $\arctan$ `\arctan` | $\csc$ `\csc` | $\ln$ `\ln` | $\tanh$ `\tanh` |
+| $\arctg$ `\arctg` | $\ctg$ `\ctg` | $\log$ `\log` | $\tg$ `\tg` |
+| $\arcctg$ `\arcctg` | $\cth$ `\cth` | $\norm{a}$ `\norm{a}` | $\th$ `\th` |
+| $\arg$ `\arg` | $\deg$ `\deg` | $\Norm{a}$ `\Norm{a}` | $\tr$ `\tr` |
+| $\ch$ `\ch` | $\dim$ `\dim` | $\rank$ `\rank` | $\Tr$ `\Tr` |
+| $\cos$ `\cos` | $\dd$ `\dd` | $\Res$ `\Res` | $\trace$ `\trace` |
+| $\cosec$ `\cosec` | $\exp$ `\exp` | $\sec$ `\sec` ||
 | $\operatorname{f}$ `\operatorname{f}` | |||
 | $\argmax$ `\argmax` | $\injlim$ `\injlim` | $\min$ `\min` | $\varinjlim$ `\varinjlim` |
 | $\argmin$ `\argmin` | $\lim$ `\lim` | $\plim$ `\plim` | $\varliminf$ `\varliminf` |
@@ -568,6 +571,16 @@ Extensible arrows all can take an optional argument in the same manner<br>as `\x
 |$\bra{\phi}$ `\bra{\phi}` |$\ket{\psi}$ `\ket{\psi}` |$\braket{\phi\VERT\psi}$ <code>\braket{\phi&#124;\psi}</code> |
 |$\Bra{\phi}$ `\Bra{\phi}` |$\Ket{\psi}$ `\Ket{\psi}` |$\Braket{ ϕ \VERT \frac{∂^2}{∂ t^2} \VERT ψ }$ <code>\Braket{ ϕ &#124; \frac{∂^2}{∂ t^2} &#124; ψ }</code>|
 
+**Physics Notation**
+
+|||
+|:----------------|:----------------|
+|$\vb{a}$ `\vb{a}`|$\vectorbold{a}$ `\vectorbold{a}`|
+|$\vectorarrow{a}$ `\vectorarrow{a}`|$\vectorunit{a}$ `\vectorunit{a}`|
+|$a \dotproduct b$ `a \dotproduct b`|$a \crossproduct b$ `a \crossproduct b`|
+|$\gradient{\psi}$ `\gradient{\psi}`|$\laplacian{\psi}$ `\laplacian{\psi}`|
+|$\divergence{B}$ `\divergence{B}`|$\curl{E}$ `\curl{E}`|
+
 ## Style, Color, Size, and Font
 
 **Class Assignment**

src/functions/op.js

@@ -262,8 +262,9 @@ defineFunction({
  "\\arcsin", "\\arccos", "\\arctan", "\\arctg", "\\arcctg",
  "\\arg", "\\ch", "\\cos", "\\cosec", "\\cosh", "\\cot", "\\cotg",
  "\\coth", "\\csc", "\\ctg", "\\cth", "\\deg", "\\dim", "\\exp",
- "\\hom", "\\ker", "\\lg", "\\ln", "\\log", "\\sec", "\\sin",
- "\\sinh", "\\sh", "\\tan", "\\tanh", "\\tg", "\\th",
+ "\\hom", "\\ker", "\\lg", "\\ln", "\\log", "\\rank", "\\Res",
+ "\\sec", "\\sin", "\\sinh", "\\sh", "\\tan", "\\tanh", "\\tr", "\\Tr",
+ "\\trace", "\\tg", "\\th",
  ],
  props: {
  numArgs: 0,

src/macros.js

@@ -961,6 +961,29 @@ defineMacro("\\set", "\\bra@set{\\{\\,}{\\mid}{}{\\,\\}}");
 // actuarialangle.dtx
 defineMacro("\\angln", "{\\angl n}");
 
+//////////////////////////////////////////////////////////////////////
+// physics.sty
+
+// This package contains some macros widely useful in physics.
+// https://ctan.math.washington.edu/tex-archive/macros/latex/contrib/physics/physics.pdf
+
+defineMacro("\\abs", "\\lvert{#1}\\rvert");
+defineMacro("\\Abs", "\\Big\\lvert{#1}\\Big\\rvert");
+defineMacro("\\norm", "\\lVert{#1}\\rVert");
+defineMacro("\\Norm", "\\Big\\lVert{#1}\\Big\\rVert");
+defineMacro("\\eval", "\\Big\\vert_{#1}^{#2}");
+defineMacro("\\vb", "\\bold{#1}");
+defineMacro("\\vectorbold", "\\vb{#1}");
+defineMacro("\\vectorarrow", "\\overrightarrow{\\vb{#1}}");
+defineMacro("\\vectorunit", "\\widehat{\\vb{#1}}");
+defineMacro("\\dotproduct", "\\cdot");
+defineMacro("\\crossproduct", "\\times");
+defineMacro("\\dd", "\\textnormal{d}");
+defineMacro("\\gradient", "\\mathinner{\\nabla{#1}}");
+defineMacro("\\laplacian", "\\mathinner{\\nabla^2{#1}}");
+defineMacro("\\divergence", "\\mathinner{\\nabla\\dotproduct{#1}}");
+defineMacro("\\curl", "\\mathinner{\\nabla\\crossproduct{#1}}");
+
 // Custom Khan Academy colors, should be moved to an optional package
 defineMacro("\\blue", "\\textcolor{##6495ed}{#1}");
 defineMacro("\\orange", "\\textcolor{##ffa500}{#1}");