main.typ

#import "@preview/touying:0.4.2": *
#import "@preview/cetz:0.2.2"
#import "@preview/fletcher:0.4.4" as fletcher: node, edge
#import "@preview/ctheorems:1.1.2": *

// cetz and fletcher bindings for touying
#let cetz-canvas = touying-reducer.with(reduce: cetz.canvas, cover: cetz.draw.hide.with(bounds: true))
#let fletcher-diagram = touying-reducer.with(reduce: fletcher.diagram, cover: fletcher.hide)

// Register university theme
// You can replace it with other themes and it can still work normally
#let s = themes.university.register(aspect-ratio: "16-9")

// Set the numbering of section and subsection
#let s = (s.methods.numbering)(self: s, section: "1.", "1.1")

// Set the speaker notes configuration
// #let s = (s.methods.show-notes-on-second-screen)(self: s, right)

// Global information configuration
#let s = (s.methods.info)(
  self: s,
  title: [Title],
  subtitle: [Subtitle],
  author: [Authors],
  date: datetime.today(),
  institution: [Institution],
)

// Pdfpc configuration
// typst query --root . ./example.typ --field value --one "<pdfpc-file>" > ./example.pdfpc
#let s = (s.methods.append-preamble)(self: s, pdfpc.config(
  duration-minutes: 30,
  start-time: datetime(hour: 14, minute: 10, second: 0),
  end-time: datetime(hour: 14, minute: 40, second: 0),
  last-minutes: 5,
  note-font-size: 12,
  disable-markdown: false,
  default-transition: (
    type: "push",
    duration-seconds: 2,
    angle: ltr,
    alignment: "vertical",
    direction: "inward",
  ),
))

// Theroems configuration by ctheorems
#show: thmrules.with(qed-symbol: $square$)
#let theorem = thmbox("theorem", "Theorem", fill: rgb("#eeffee"))
#let corollary = thmplain(
  "corollary",
  "Corollary",
  base: "theorem",
  titlefmt: strong
)
#let definition = thmbox("definition", "Definition", inset: (x: 1.2em, top: 1em))
#let example = thmplain("example", "Example").with(numbering: none)
#let proof = thmproof("proof", "Proof")

// Extract methods
#let (init, slides, touying-outline, alert, speaker-note) = utils.methods(s)
#show: init

#show strong: alert

// Extract slide functions
#let (slide, empty-slide) = utils.slides(s)
#show: slides

= Animation

== Simple Animation

We can use `#pause` to #pause display something later.

#pause

Just like this.

#meanwhile

Meanwhile, #pause we can also use `#meanwhile` to #pause display other content synchronously.

#speaker-note[
  + This is a speaker note.
  + You won't see it unless you use `#let s = (s.math.show-notes-on-second-screen)(self: s, right)`
]


== Complex Animation - Mark-Style

At subslide #utils.touying-wrapper((self: none) => str(self.subslide)), we can

use #uncover("2-")[`#uncover` function] for reserving space,

use #only("2-")[`#only` function] for not reserving space,

#alternatives[call `#only` multiple times \u{2717}][use `#alternatives` function #sym.checkmark] for choosing one of the alternatives.


== Complex Animation - Callback-Style

#slide(repeat: 3, self => [
  #let (uncover, only, alternatives) = utils.methods(self)

  At subslide #self.subslide, we can

  use #uncover("2-")[`#uncover` function] for reserving space,

  use #only("2-")[`#only` function] for not reserving space,

  #alternatives[call `#only` multiple times \u{2717}][use `#alternatives` function #sym.checkmark] for choosing one of the alternatives.
])


== Math Equation Animation

Touying equation with `pause`:

#touying-equation(`
  f(x) &= pause x^2 + 2x + 1  \
        &= pause (x + 1)^2  \
`)

#meanwhile

Here, #pause we have the expression of $f(x)$.

#pause

By factorizing, we can obtain this result.


== CeTZ Animation

CeTZ Animation in Touying:

#cetz-canvas({
  import cetz.draw: *
  
  rect((0,0), (5,5))

  (pause,)

  rect((0,0), (1,1))
  rect((1,1), (2,2))
  rect((2,2), (3,3))

  (pause,)

  line((0,0), (2.5, 2.5), name: "line")
})


== Fletcher Animation

Fletcher Animation in Touying:

#fletcher-diagram(
  node-stroke: .1em,
  node-fill: gradient.radial(blue.lighten(80%), blue, center: (30%, 20%), radius: 80%),
  spacing: 4em,
  edge((-1,0), "r", "-|>", `open(path)`, label-pos: 0, label-side: center),
  node((0,0), `reading`, radius: 2em),
  edge((0,0), (0,0), `read()`, "--|>", bend: 130deg),
  pause,
  edge(`read()`, "-|>"),
  node((1,0), `eof`, radius: 2em),
  pause,
  edge(`close()`, "-|>"),
  node((2,0), `closed`, radius: 2em, extrude: (-2.5, 0)),
  edge((0,0), (2,0), `close()`, "-|>", bend: -40deg),
)

= Theroems

== Prime numbers

#definition[
  A natural number is called a #highlight[_prime number_] if it is greater
  than 1 and cannot be written as the product of two smaller natural numbers.
]
#example[
  The numbers $2$, $3$, and $17$ are prime.
  @cor_largest_prime shows that this list is not exhaustive!
]

#theorem("Euclid")[
  There are infinitely many primes.
]
#proof[
  Suppose to the contrary that $p_1, p_2, dots, p_n$ is a finite enumeration
  of all primes. Set $P = p_1 p_2 dots p_n$. Since $P + 1$ is not in our list,
  it cannot be prime. Thus, some prime factor $p_j$ divides $P + 1$.  Since
  $p_j$ also divides $P$, it must divide the difference $(P + 1) - P = 1$, a
  contradiction.
]

#corollary[
  There is no largest prime number.
] <cor_largest_prime>
#corollary[
  There are infinitely many composite numbers.
]

#theorem[
  There are arbitrarily long stretches of composite numbers.
]

#proof[
  For any $n > 2$, consider $
    n! + 2, quad n! + 3, quad ..., quad n! + n #qedhere
  $
]


= Others

== Side-by-side

#slide(composer: (1fr, 1fr))[
  First column.
][
  Second column.
]


== Multiple Pages

#lorem(200)


// appendix by freezing last-slide-number
#let s = (s.methods.appendix)(self: s)
#let (slide, empty-slide) = utils.slides(s)

== Appendix

#slide[
  Please pay attention to the current slide number.
]