From d2ef1e532c98da3ec1331c6aca1ef17e83e19eb4 Mon Sep 17 00:00:00 2001 From: Leedehai Date: Mon, 25 Dec 2023 18:19:06 -0500 Subject: [PATCH] Init preparation for v0.9.2 --- README.md | 13 +++-- changelog.md | 62 ++++++++++++++++++++ physica-manual.pdf | Bin 336201 -> 345235 bytes physica-manual.typ | 139 ++++++++++++++++++++++++++++----------------- physica.typ | 120 +++++++++++++++++++++++++++++--------- 5 files changed, 249 insertions(+), 85 deletions(-) create mode 100644 changelog.md diff --git a/README.md b/README.md index 536fe98..addfaa3 100644 --- a/README.md +++ b/README.md @@ -1,9 +1,9 @@ -:green_book: The [manual](https://github.com/Leedehai/typst-physics/blob/master/physica-manual.pdf). +:green_book: The [manual](https://github.com/Leedehai/typst-physics/blob/v0.9.1/physica-manual.pdf).

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-# The physica package for Typst +# The physica package for Typst (v0.9.1) [![CI](https://github.com/Leedehai/typst-physics/actions/workflows/ci.yml/badge.svg)](https://github.com/Leedehai/typst-physics/actions/workflows/ci.yml) [![Latest release](https://img.shields.io/github/v/release/Leedehai/typst-physics.svg?color=gold)][latest-release] @@ -27,7 +27,7 @@ natural sciences, including: ## A quick look -See the [manual](https://github.com/Leedehai/typst-physics/blob/master/physica-manual.pdf) for more details and examples. +See the [manual](https://github.com/Leedehai/typst-physics/blob/v0.9.1/physica-manual.pdf)for more details and examples. ![demo-quick](https://github.com/Leedehai/typst-physics/assets/18319900/4a9f40df-f753-4324-8114-c682d270e9c7) @@ -89,7 +89,7 @@ typst 0.10.0 (70ca0d25) ## Manual -See the manual [physica-manual.pdf](https://github.com/Leedehai/typst-physics/blob/master/physica-manual.pdf) for a more comprehensive coverage, a PDF file +See the [manual](https://github.com/Leedehai/typst-physics/blob/v0.9.1/physica-manual.pdf) for a more comprehensive coverage, a PDF file generated directly with the [Typst](https://typst.app) binary. To regenerate the manual, use command @@ -107,8 +107,9 @@ request. If it is large, the best first step is creating an issue and let us explore the design together. Some features might warrant a package on its own. * Testing: currently testing is done by closely inspecting the generated -[physica-manual.pdf](https://github.com/Leedehai/typst-physics/blob/master/physica-manual.pdf). This does not scale well. I plan to add programmatic -testing by comparing rendered pictures with golden images. +[manual](https://github.com/Leedehai/typst-physics/blob/v0.9.1/physica-manual.pdf). +This does not scale well. I plan to add programmatic testing by comparing +rendered pictures with golden images. ## License diff --git a/changelog.md b/changelog.md new file mode 100644 index 0000000..27dc7e0 --- /dev/null +++ b/changelog.md @@ -0,0 +1,62 @@ +# Changelog + +## 0.9.2 (pending) + +* Let `braket()` take an optional third argument to render `braket(u,A,v)` as +`⟨u|A|v⟩`. The one argument case `braket(a)` is still rendered as `⟨a|a⟩` and +the two argument case `braket(u,v)` is still rendered as `⟨u|v⟩`. +* Let `expval()` take an optional second argument to render `expval(A,a)` as +`⟨a|A|a⟩`. The one argument case `expval(A)` is still rendered as `⟨A⟩`. +* **(breaking)** Differentiated big-O `Order(...)` and little-o `order(...)`. +* Let Taylor series term `taylorterm(...)` automatically add parenthesis, so +that e.g. `tarlorterm(f,x,1+a,n-1)`'s `1+a` and `n-1` can be put inside +parenthesis when needed. +* Fixed a rendering issue of `Set(...)` when it contains tall contents. +* Removed the `box(..)` layer from `tensor(...)`'s phantom index. +* Added 2D and 3D rotation matrix `rot2mat(...)` and `rot3mat(...)`. +* Added Gram matrix `grammat(...)`. + +## 0.9.1 + +* Added show rules `super-T-as-transpose` and `super-plus-as-dagger`, so that +`..^T` and `..^+` can be rendered as a transpose operator and a dagger +(i.e. conjugate transpose) operator, respectively, just like handwriting. +* Adjusted spacing for `dd()`, following advice in TeXBook Chapter 18. The +intra spacing can be disabled by a new optional argument `compact:#true`. +* Fixed a spacing issue of `vecrow(..)`. +* **(breaking)** Let `iprod(..)` be rendered in the more familiar inner +product `⟨a,b⟩`, instead of `⟨a|b⟩`--that can be done with `braket(a,b)`. +* Added optional argument `big:#true` to Jacobian matrix and Hessian matrix, so +that the fractions can be rendered in an "uncramped" form. The default is the +"cramped" form just like LaTeX. +* Added `taylorterm(...)` to display terms in the Taylor series. + +## 0.9.0 + +Changed the minimum Typst version to 0.10.0. + +* Fixed the appearance of `braket`, `ketra`, and `mel`. +* Fixed Hessian matrix `hmax(...)`. + +## 0.8.1 + +## 0.8.0 + +* Added CI. +* **(breaking)** Let `va(...)` (vector arrow) be not bold, according to the ISO +standard. + +## 0.7.5 + +* First appeared in the official package collection +[typst/packages](https://github.com/typst/packages). + +## 0.7.4 + +* Renamed from `physics` to `physica`, meaning _natural sciences_. + +## 0.7.1 + +## 0.6 + +## 0.5 diff --git a/physica-manual.pdf b/physica-manual.pdf index f062981398aaecb2d7a38131bcf2e21fa51d2e8c..ebd9dc364348502d21caa467217f490d848ee90c 100644 GIT binary patch delta 267474 zcmV)5K*_(!!W5H<6|j9-22@E*O;k*igIS{nR7p%tR7{gBTJe)CTXqIiNlZ;tOp~Zv z>jF44r(Yrg0s=TSmtiCUAG5YzJ_3{LwqcV93>~v%VO|0QIWjVn!1X1Q>SG^&H-uFY zLKYGri&59M*%MA4+Qr1b~qc{hfsKm4pn&RjOWR 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[`norm(phi(x))` #sym.arrow $norm(phi(x))$], [norm], + [`Order(`_content_`)`], + [], + [`Order(x^2)` #sym.arrow $Order(x^2)$], + [big O], + [`order(`_content_`)`], [], - [`order(x^2)` #sym.arrow $order(x^2)$], - [order of magnitude], + [`order(1)` #sym.arrow $order(1)$], + [small O], [`Set(`_content_`)`], [], @@ -134,9 +139,9 @@ All symbols need to be used in *math mode* `$...$`. [`expval`], [ `expval(u)` #sym.arrow $expval(u)$ \ - `expval(f/N)` #sym.arrow $expval(f/N)$ \ + `expval(p,psi)` #sym.arrow $expval(p,psi)$ \ ], - [expectation value], + [expectation value, also see bra-ket @dirac-braket below], ) == Vector notations @@ -225,6 +230,8 @@ All symbols need to be used in *math mode* `$...$`. #v(1em) +=== Determinant, (anti-)diagonal, identity, zero matrix + #table( columns: (auto, auto, auto, auto), align: left, @@ -279,24 +286,11 @@ All symbols need to be used in *math mode* `$...$`. #hl(`zmat(3,delim:"[")`) #sym.arrow \ $zmat(3,delim:"[")$ ], [zero matrix], - - [`jacobianmatrix(`...`)`], - [`jmat`], - [See below], - [Jacobian matrix], - - [`hessianmatrix(`...`)`], - [`hmat`], - [See below], - [Hessian matrix], - - [`xmatrix(`...`)`], - [`xmat`], - [See below], - [Matrix built with an element building function], ) -Jacobian matrix: `jacobianmatrix(`...`)`, i.e. `jmat(`...`)`. +=== Jacobian matrix + +`jacobianmatrix(`...`)`, i.e. `jmat(`...`)`. #table( columns: (25%, auto, auto), @@ -328,7 +322,9 @@ Jacobian matrix: `jacobianmatrix(`...`)`, i.e. `jmat(`...`)`. ], ) -Hessian matrix: `hessianmatrix(`...`)`, i.e. `hmat(`...`)`. +=== Hessian matrix + +`hessianmatrix(`...`)`, i.e. `hmat(`...`)`. #table( columns: (25%, auto, auto), @@ -360,7 +356,10 @@ Hessian matrix: `hessianmatrix(`...`)`, i.e. `hmat(`...`)`. ], ) -Matrix built with an element building function: `xmatrix(`_m, n, func_`)`, i.e. `xmat(`...`)`. The element building function _func_ takes two integers which are the row and column numbers starting from 1. +=== Matrix with an element builder + +`xmatrix(`_m, n, func_`)`, i.e. `xmat(`...`)`. The element building function +_func_ takes two integers which are the row and column numbers starting from 1. #table( columns: (auto, auto), @@ -385,7 +384,42 @@ xmat(2, 2, #g)`) ], ) -== Dirac braket notations +=== Rotation matrices, 2D and 3D + +#table( + columns: (auto, auto, auto), + align: center, + stroke: none, + column-gutter: 1em, + + [ + #hl(`rot2mat(theta)`) + $ rot2mat(theta) $ + ], + [ + #hl(`rot2mat(-a/2,delim:"[")`) + $ rot2mat(-a/2, delim:"[") $ + ], + [ + #hl(`rot2mat(display(a/2),delim:"[")`) + $ rot2mat(display(a/2),delim:"[") $ + ], + + [ + #hl(`rot3xmat(theta)`) + $ rot3xmat(theta) $ + ], + [ + #hl(`rot3ymat(45^degree)`) + $ rot3ymat(45^degree) $ + ], + [ + #hl(`rot3zmat(theta,delim:"[")`) + $ rot3zmat(theta,delim:"[") $ + ], +) + +== Dirac braket notations #v(1em) @@ -411,37 +445,36 @@ xmat(2, 2, #g)`) ], [ket], - [`expval(`_content_`)`], + [`braket(`..`)`], [], [ - `expval(u)` #sym.arrow $expval(u)$ \ - `expval(vec(1,2))` #sym.arrow $expval(vec(1,2))$ + `braket(a), braket(u, v)` \ #sym.arrow $braket(a), braket(u, v)$ \ + `braket(psi,A/N,phi)` #sym.arrow $braket(psi,A/N,phi)$ ], - [expectation], + [braket, with 1, 2, or 3 arguments], - [`braket(`_a_, _b_`)`], + [`ketbra(`..`)`], [], [ - `braket(a), braket(u, v)` \ #sym.arrow $braket(a), braket(u, v)$ \ - `braket(vec(1,2), b)` #sym.arrow $braket(vec(1,2), b)$ + `ketbra(a), ketbra(u, v)` \ #sym.arrow $ketbra(a), ketbra(u, v)$ \ + `ketbra(a/N, b)` #sym.arrow $ketbra(a/N, b)$ ], - [braket], + [ketbra, with 1 or 2 arguments], - [`ketbra(`_a_, _b_`)`], + [`expval(`_content_`)`], [], [ - `ketbra(a), ketbra(u, v)` \ #sym.arrow $ketbra(a), ketbra(u, v)$ \ - `ketbra(vec(1,2), b)` #sym.arrow $ketbra(vec(1,2), b)$ + `expval(u)` #sym.arrow $expval(u)$ \ + `expval(A,psi)` #sym.arrow $expval(A,psi)$ ], - [ketbra], + [expectation], - [`matrixelement(`_n_, _M_, _m_`)`], + [`matrixelement(`..`)`], [`mel`], [ - `mel(n, diff_nu H, m)` \ #sym.arrow $mel(n, diff_nu H, m)$ \ - `mel(vec(U,V),A,m)` #sym.arrow $mel(vec(U,V),A,m)$ + `mel(n, diff_nu H, m)` \ #sym.arrow $mel(n, diff_nu H, m)$ ], - [matrix element], + [matrix element, same as `braket(n,M,n)`], ) == Math functions @@ -962,8 +995,8 @@ Function: `tensor(`_symbol_, \*_args_`)`. $ tensor(AA,+a,+b,-c,-d,+e,-f,+g,-h) $ ], [ - *(7)* #hl(`tensor(R, -a, -b, -c, +d)`) \ - $ tensor(R, -a, -b, -c, +d) $ + *(7)* #hl(`tensor(R, -a, -b, +d)`) \ + $ tensor(R, -a, -b, +d) $ ], [ *(8)* #hl(`tensor(T,+1,-I(1,-1),+a_bot,-+,+-)`) \ @@ -1001,11 +1034,11 @@ Function: `isotope(`_element_, _a_: ..., _z_: ...`)`. ], ) -*(3)* #hl(`isotope("Bi",a:211,z:83) --> isotope("Tl",a:207,z:81) + isotope("He",a:4,z:2)`) -$ isotope("Bi",a:211,z:83) --> isotope("Tl",a:207,z:81) + isotope("He",a:4,z:2) $ +*(3)* #hl(`isotope("Bi",a:211,z:83) -> isotope("Tl",a:207,z:81) + isotope("He",a:4,z:2)`) +$ isotope("Bi",a:211,z:83) -> isotope("Tl",a:207,z:81) + isotope("He",a:4,z:2) $ -*(4)* #hl(`isotope("Tl",a:207,z:81) --> isotope("Pb",a:207,z:82) + isotope(e,a:0,z:-1)`) -$ isotope("Tl",a:207,z:81) --> isotope("Pb",a:207,z:82) + isotope(e,a:0,z:-1) $ +*(4)* #hl(`isotope("Tl",a:207,z:81) -> isotope("Pb",a:207,z:82) + isotope(e,a:0,z:-1)`) +$ isotope("Tl",a:207,z:81) -> isotope("Pb",a:207,z:82) + isotope(e,a:0,z:-1) $ === The n-th term in Taylor series @@ -1016,8 +1049,8 @@ Function: `taylorterm(`_func_, _x_, _x0_, _idx_`)`. - _x_: the variable name e.g. `x`, - _x0_: the variable value at the expansion point e.g. `x_0`, `(1+a)`, - _idx_: the index of the term, e.g. `0`, `1`, `2`, `n`, `(n+1)`. -If _x0_ or _idx_ is in a parenthesis e.g. `(1+k)`, then the function -automatically removes the outer parenthesis where appropriate. +If _x0_ or _idx_ is an add/sub sequence e.g. `-a`, `a+b`, then the function +automatically adds a parenthesis where appropriate. #align(center, [*Examples*]) @@ -1034,20 +1067,20 @@ automatically removes the outer parenthesis where appropriate. $ taylorterm(f,x,x_0,1) $ ], [ - *(3)* #hl(`taylorterm(f,x,(1+a),2)`) \ - $ taylorterm(f,x,(1+a),2) $ + *(3)* #hl(`taylorterm(F,x^nu,x^nu_0,n)`) \ + $ taylorterm(F,x^nu,x^nu_0,n) $ ], [ *(4)* #hl(`taylorterm(f,x,x_0,n)`) \ $ taylorterm(f,x,x_0,n) $ ], [ - *(5)* #hl(`taylorterm(F,x^nu,x^nu_0,n)`) \ - $ taylorterm(F,x^nu,x^nu_0,n) $ + *(5)* #hl(`taylorterm(f,x,1+a,2)`) \ + $ taylorterm(f,x,1+a,2) $ ], [ - *(6)* #hl(`taylorterm(f_p,x,x_0,(n+1))`) \ - $ taylorterm(f_p,x,x_0,(n+1)) $ + *(6)* #hl(`taylorterm(f_p,x,x_0,n-1)`) \ + $ taylorterm(f_p,x,x_0,n-1) $ ], ) diff --git a/physica.typ b/physica.typ index 4b78249..2e98064 100644 --- a/physica.typ +++ b/physica.typ @@ -3,8 +3,32 @@ // Repository: https://github.com/Leedehai/typst-physics // Please see physica-manual.pdf for user docs. +// Returns whether a Content object is an add/sub sequence, e.g. -a, a+b, a-b. +// The caller is responsible for ensuring the input is a Content object. +#let __is_add_sub_sequence(content) = { + if not content.has("children") { return false } + + let impl(seq) = { + // Only check the top level, don't descend into the child, since we don't + // care if the child is a parenthesis group that contains +/-. + for child in seq.at("children") { + if child == [+] or child == [#sym.minus] { return true } + } + return false + } + + // Before my https://github.com/typst/typst/pull/3063: + return impl(content) + // After my https://github.com/typst/typst/pull/3063: + // if content.func() == math.math-style { + // return impl(content.at("body")) + // } else { + // return impl(content) + // } +} + // Returns whether a Content object holds an integer. The caller is responsible -// for ensuring the input argument is a Content object. +// for ensuring the input is a Content object. #let __content_holds_number(content) = { return content.func() == text and regex("^\d+$") in content.text } @@ -123,28 +147,37 @@ // == Braces -#let Set(..sink) = style(styles => { +#let Set(..sink) = { let args = sink.pos() // array let expr = args.at(0, default: none) let cond = args.at(1, default: none) - let height = measure($ expr cond $, styles).height; - let phantom = box(height: height, width: 0pt, inset: 0pt, stroke: none); if expr == none { - if cond == none { ${}$ } else { ${lr(|phantom#h(0pt))#cond}$ } + if cond == none { ${}$ } else { ${mid(|) #cond}$ } } else { - if cond == none { ${#expr}$ } else { ${#expr lr(|phantom#h(0pt))#cond}$ } + if cond == none { ${#expr}$ } else { ${#expr mid(|) #cond}$ } } -}) +} -#let order(content) = $cal(O)(content)$ +#let Order(content) = $cal(O)(content)$ +#let order(content) = $cal(o)(content)$ #let evaluated(content) = { $lr(zwj#content|)$ } #let eval = evaluated -#let expectationvalue(f) = $lr(angle.l #f angle.r)$ +#let expectationvalue(..sink) = { + let args = sink.pos() // array + let expr = args.at(0, default: none) + let func = args.at(1, default: none) + + if func == none { + $lr(angle.l expr angle.r)$ + } else { + $lr(angle.l func#h(0pt)mid(|)#h(0pt)expr#h(0pt)mid(|)#h(0pt)func angle.r)$ + } +} #let expval = expectationvalue // == Vector notations @@ -361,6 +394,41 @@ } #let xmat = xmatrix +#let rot2mat(theta, delim:"(") = { + let operand = if type(theta) == "content" and __is_add_sub_sequence(theta) { + $(theta)$ + } else { theta } + $mat(cos operand, -sin operand; + sin operand, cos operand; delim: delim)$ +} + +#let rot3xmat(theta, delim:"(") = { + let operand = if type(theta) == "content" and __is_add_sub_sequence(theta) { + $(theta)$ + } else { theta } + $mat(1, 0, 0; + 0, cos operand, -sin operand; + 0, sin operand, cos operand; delim: delim)$ +} + +#let rot3ymat(theta, delim:"(") = { + let operand = if type(theta) == "content" and __is_add_sub_sequence(theta) { + $(theta)$ + } else { theta } + $mat(cos operand, 0, sin operand; + 0, 1, 0; + -sin operand, 0, cos operand; delim: delim)$ +} + +#let rot3zmat(theta, delim:"(") = { + let operand = if type(theta) == "content" and __is_add_sub_sequence(theta) { + $(theta)$ + } else { theta } + $mat(cos operand, -sin operand, 0; + sin operand, cos operand, 0; + 0, 0, 1; delim: delim)$ +} + // == Dirac braket notations #let bra(f) = $lr(angle.l #f|)$ @@ -368,12 +436,16 @@ #let braket(..sink) = style(styles => { let args = sink.pos() // array - assert(args.len() == 1 or args.len() == 2, message: "expecting 1 or 2 args") - let bra = args.at(0) - let ket = args.at(1, default: bra) + let bra = args.at(0, default: none) + let ket = args.at(-1, default: bra) - $ lr(angle.l bra#h(0pt)mid(bar.v)#h(0pt)ket angle.r) $ + if args.len() <= 2 { + $ lr(angle.l bra#h(0pt)mid(|)#h(0pt)ket angle.r) $ + } else { + let middle = args.at(1) + $ lr(angle.l bra#h(0pt)mid(|)#h(0pt)middle#h(0pt)mid(|)#h(0pt)ket angle.r) $ + } }) #let ketbra(..sink) = style(styles => { @@ -383,11 +455,11 @@ let ket = args.at(0) let bra = args.at(1, default: ket) - $ lr(bar.v ket#h(0pt)mid(angle.r#h(0pt)angle.l)#h(0pt)bra bar.v) $ + $ lr(|ket#h(0pt)mid(angle.r#h(0pt)angle.l)#h(0pt)bra|) $ }) #let matrixelement(n, M, m) = style(styles => { - $ lr(angle.l #n#h(0pt)mid(bar.v)#h(0pt)#M#h(0pt)mid(bar.v)#h(0pt)#m angle.r) $ + $ lr(angle.l #n#h(0pt)mid(|)#h(0pt)#M#h(0pt)mid(|)#h(0pt)#m angle.r) $ }) #let mel = matrixelement @@ -713,7 +785,7 @@ let args = sink.pos() let (uppers, lowers) = ((), ()) // array, array - let hphantom(s) = { hide(box(height: 0em, s)) } // Like Latex's \hphantom + let hphantom(s) = { hide($#s$) } // Like Latex's \hphantom for i in range(args.len()) { let arg = args.at(i) @@ -751,21 +823,17 @@ } #let taylorterm(fn, xv, x0, idx) = { - let noparen(expr) = { - if type(expr) == content and expr.func() == math.lr { - let children = expr.at("body").at("children") - children.slice(1, children.len() - 1).join() - } else { - expr - } + let maybeparen(expr) = { + if __is_add_sub_sequence(expr) { $(expr)$ } + else { expr } } if idx == [0] or idx == 0 { - $fn (noparen(x0))$ + $fn (x0)$ } else if idx == [1] or idx == 1 { - $fn^((1)) (noparen(x0))(xv - x0)$ + $fn^((1)) (x0)(xv - maybeparen(x0))$ } else { - $frac(fn^((noparen(idx))) (noparen(x0)), idx !)(xv - x0)^noparen(idx)$ + $frac(fn^((idx)) (x0), maybeparen(idx) !)(xv - maybeparen(x0))^idx$ } }