Qualification-Thesis/presentation.typ

#import "@preview/touying:0.5.5": *
#import themes.university: *
#import "@preview/cetz:0.3.1"
#import "@preview/fletcher:0.5.3" as fletcher: node, edge
#import "@preview/ctheorems:1.1.3": *
#import "@preview/numbly:0.1.0": numbly


#set text(
  font: (
    "Times New Roman",
    "New Computer Modern",
  ),
  size: 12pt,
  hyphenate: auto,
  lang: "lv",
  region: "lv",
)
#show raw: set text(
  font: (
    "JetBrainsMono NF",
    "JetBrains Mono",
    "Fira Code",
  ),
  features: (calt: 0),
)

// 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,
)

// Theorems 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")

#show: university-theme.with(
  aspect-ratio: "16-9",
  config-info(
    title: [Kvalifikācijas darbs],
    subtitle: [Spēles izstrāde, izmantojot Bevy spēļu dzinēju],
    author: [Kristiāns Francis Cagulis kc22015],
    institution: [Latvijas Universitāte],
    // logo: emoji.school,
  ),
  config-colors(
    primary: rgb("#575279"),
    secondary: rgb("#797593"),
    tertiary: rgb("#286983"),
    neutral-lightest: rgb("#faf4ed"),
    neutral-darkest: rgb("#575279"),
  ),
)

#set heading(numbering: numbly("{1}.", default: "1.1"))

#title-slide()

= 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 `config-common(show-notes-on-second-screen: right)`
]


== Complex Animation

At subslide #touying-fn-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.


== Callback Style Animation

#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

Equation with `pause`:

$
  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),
)


= Theorems

== 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)


#show: appendix

= Appendix

== Appendix

Please pay attention to the current slide number.