Hack in ReX for now

This commit is contained in:
Laurenz 2022-05-18 19:09:19 +02:00
parent 486f7b1bca
commit 3965e10281
10 changed files with 525 additions and 21 deletions

350
Cargo.lock generated
View File

@ -23,6 +23,15 @@ dependencies = [
"memchr",
]
[[package]]
name = "approx"
version = "0.3.2"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "f0e60b75072ecd4168020818c0107f2857bb6c4e64252d8d3983f6263b40a5c3"
dependencies = [
"num-traits",
]
[[package]]
name = "arrayref"
version = "0.3.6"
@ -83,6 +92,12 @@ version = "1.3.2"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "bef38d45163c2f1dde094a7dfd33ccf595c92905c8f8f4fdc18d06fb1037718a"
[[package]]
name = "bumpalo"
version = "3.9.1"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "a4a45a46ab1f2412e53d3a0ade76ffad2025804294569aae387231a0cd6e0899"
[[package]]
name = "bytemuck"
version = "1.7.3"
@ -135,6 +150,18 @@ dependencies = [
"matches",
]
[[package]]
name = "decorum"
version = "0.3.1"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "281759d3c8a14f5c3f0c49363be56810fcd7f910422f97f2db850c2920fde5cf"
dependencies = [
"approx",
"num-traits",
"serde",
"serde_derive",
]
[[package]]
name = "deflate"
version = "0.8.6"
@ -214,6 +241,25 @@ version = "1.0.7"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "3f9eec918d3f24069decb9af1554cad7c880e2da24a9afd88aca000531ab82c1"
[[package]]
name = "font"
version = "0.1.0"
source = "git+https://github.com/pdf-rs/font#f0ea791543140ccbe0d4fb20bac363ab66c53f68"
dependencies = [
"decorum",
"indexmap",
"itertools",
"log",
"nom",
"pathfinder_color",
"pathfinder_content",
"pathfinder_geometry",
"pdf_encoding",
"rand 0.7.3",
"slotmap",
"tuple",
]
[[package]]
name = "fxhash"
version = "0.2.1"
@ -223,6 +269,19 @@ dependencies = [
"byteorder",
]
[[package]]
name = "getrandom"
version = "0.1.16"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "8fc3cb4d91f53b50155bdcfd23f6a4c39ae1969c2ae85982b135750cccaf5fce"
dependencies = [
"cfg-if",
"js-sys",
"libc",
"wasi 0.9.0+wasi-snapshot-preview1",
"wasm-bindgen",
]
[[package]]
name = "getrandom"
version = "0.2.4"
@ -231,7 +290,7 @@ checksum = "418d37c8b1d42553c93648be529cb70f920d3baf8ef469b74b9638df426e0b4c"
dependencies = [
"cfg-if",
"libc",
"wasi",
"wasi 0.10.2+wasi-snapshot-preview1",
]
[[package]]
@ -280,6 +339,15 @@ dependencies = [
"hashbrown",
]
[[package]]
name = "itertools"
version = "0.9.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "284f18f85651fe11e8a991b2adb42cb078325c996ed026d994719efcfca1d54b"
dependencies = [
"either",
]
[[package]]
name = "itoa"
version = "0.4.8"
@ -298,6 +366,15 @@ version = "0.1.22"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "229d53d58899083193af11e15917b5640cd40b29ff475a1fe4ef725deb02d0f2"
[[package]]
name = "js-sys"
version = "0.3.57"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "671a26f820db17c2a2750743f1dd03bafd15b98c9f30c7c2628c024c05d73397"
dependencies = [
"wasm-bindgen",
]
[[package]]
name = "kurbo"
version = "0.8.3"
@ -319,6 +396,19 @@ version = "1.3.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "830d08ce1d1d941e6b30645f1a0eb5643013d835ce3779a5fc208261dbe10f55"
[[package]]
name = "lexical-core"
version = "0.7.6"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "6607c62aa161d23d17a9072cc5da0be67cdfc89d3afb1e8d9c842bebc2525ffe"
dependencies = [
"arrayvec 0.5.2",
"bitflags",
"cfg-if",
"ryu",
"static_assertions",
]
[[package]]
name = "libc"
version = "0.2.118"
@ -339,8 +429,8 @@ name = "lipsum"
version = "0.8.0"
source = "git+https://github.com/reknih/lipsum#c97ce95ba01ed2cce1d1b0b230b6b78295b0720b"
dependencies = [
"rand",
"rand_chacha",
"rand 0.8.5",
"rand_chacha 0.3.1",
]
[[package]]
@ -410,6 +500,17 @@ dependencies = [
"adler",
]
[[package]]
name = "nom"
version = "5.1.2"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "ffb4262d26ed83a1c0a33a38fe2bb15797329c85770da05e6b828ddb782627af"
dependencies = [
"lexical-core",
"memchr",
"version_check",
]
[[package]]
name = "num-integer"
version = "0.1.44"
@ -489,6 +590,46 @@ dependencies = [
"windows-sys",
]
[[package]]
name = "pathfinder_color"
version = "0.5.0"
source = "git+https://github.com/servo/pathfinder/#038a3476d803fd77a6e66a74117b5b8803a2cb49"
dependencies = [
"pathfinder_simd",
]
[[package]]
name = "pathfinder_content"
version = "0.5.0"
source = "git+https://github.com/servo/pathfinder/#038a3476d803fd77a6e66a74117b5b8803a2cb49"
dependencies = [
"arrayvec 0.5.2",
"bitflags",
"image",
"log",
"pathfinder_color",
"pathfinder_geometry",
"pathfinder_simd",
"smallvec",
]
[[package]]
name = "pathfinder_geometry"
version = "0.5.1"
source = "git+https://github.com/servo/pathfinder/#038a3476d803fd77a6e66a74117b5b8803a2cb49"
dependencies = [
"log",
"pathfinder_simd",
]
[[package]]
name = "pathfinder_simd"
version = "0.5.1"
source = "git+https://github.com/servo/pathfinder/#038a3476d803fd77a6e66a74117b5b8803a2cb49"
dependencies = [
"rustc_version",
]
[[package]]
name = "pdf-writer"
version = "0.4.1"
@ -500,6 +641,24 @@ dependencies = [
"ryu",
]
[[package]]
name = "pdf_encoding"
version = "0.3.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "ed7468173909bb32dbc74ca454c82dfdfe994ad1133ddf78d6c31715c9b88c40"
dependencies = [
"lazy_static",
]
[[package]]
name = "pest"
version = "2.1.3"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "10f4872ae94d7b90ae48754df22fd42ad52ce740b8f370b03da4835417403e53"
dependencies = [
"ucd-trie",
]
[[package]]
name = "pico-args"
version = "0.4.2"
@ -576,13 +735,36 @@ dependencies = [
"proc-macro2",
]
[[package]]
name = "rand"
version = "0.7.3"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "6a6b1679d49b24bbfe0c803429aa1874472f50d9b363131f0e89fc356b544d03"
dependencies = [
"getrandom 0.1.16",
"libc",
"rand_chacha 0.2.2",
"rand_core 0.5.1",
"rand_hc",
]
[[package]]
name = "rand"
version = "0.8.5"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "34af8d1a0e25924bc5b7c43c079c942339d8f0a8b57c39049bef581b46327404"
dependencies = [
"rand_core",
"rand_core 0.6.3",
]
[[package]]
name = "rand_chacha"
version = "0.2.2"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "f4c8ed856279c9737206bf725bf36935d8666ead7aa69b52be55af369d193402"
dependencies = [
"ppv-lite86",
"rand_core 0.5.1",
]
[[package]]
@ -592,7 +774,16 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "e6c10a63a0fa32252be49d21e7709d4d4baf8d231c2dbce1eaa8141b9b127d88"
dependencies = [
"ppv-lite86",
"rand_core",
"rand_core 0.6.3",
]
[[package]]
name = "rand_core"
version = "0.5.1"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "90bde5296fc891b0cef12a6d03ddccc162ce7b2aff54160af9338f8d40df6d19"
dependencies = [
"getrandom 0.1.16",
]
[[package]]
@ -601,6 +792,15 @@ version = "0.6.3"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "d34f1408f55294453790c48b2f1ebbb1c5b4b7563eb1f418bcfcfdbb06ebb4e7"
[[package]]
name = "rand_hc"
version = "0.2.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "ca3129af7b92a17112d59ad498c6f81eaf463253766b90396d39ea7a39d6613c"
dependencies = [
"rand_core 0.5.1",
]
[[package]]
name = "rctree"
version = "0.4.0"
@ -622,7 +822,7 @@ version = "0.4.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "528532f3d801c87aec9def2add9ca802fe569e44a544afe633765267840abe64"
dependencies = [
"getrandom",
"getrandom 0.2.4",
"redox_syscall",
]
@ -659,6 +859,15 @@ dependencies = [
"usvg",
]
[[package]]
name = "rex"
version = "0.1.2"
source = "git+https://github.com/laurmaedje/ReX#b44e59bfa68cc4b0288bd2be80e093ed3b279af5"
dependencies = [
"font",
"unicode-math",
]
[[package]]
name = "rgb"
version = "0.8.31"
@ -677,6 +886,15 @@ dependencies = [
"xmlparser",
]
[[package]]
name = "rustc_version"
version = "0.3.3"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "f0dfe2087c51c460008730de8b57e6a320782fbfb312e1f4d520e6c6fae155ee"
dependencies = [
"semver",
]
[[package]]
name = "rustybuzz"
version = "0.4.0"
@ -729,6 +947,24 @@ version = "1.1.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "d29ab0c6d3fc0ee92fe66e2d99f700eab17a8d57d1c1d3b748380fb20baa78cd"
[[package]]
name = "semver"
version = "0.11.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "f301af10236f6df4160f7c3f04eec6dbc70ace82d23326abad5edee88801c6b6"
dependencies = [
"semver-parser",
]
[[package]]
name = "semver-parser"
version = "0.10.2"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "00b0bef5b7f9e0df16536d3961cfb6e84331c065b4066afb39768d0e319411f7"
dependencies = [
"pest",
]
[[package]]
name = "serde"
version = "1.0.136"
@ -775,12 +1011,24 @@ version = "0.3.9"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "a86232ab60fa71287d7f2ddae4a7073f6b7aac33631c3015abb556f08c6d0a3e"
[[package]]
name = "slotmap"
version = "0.4.3"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "6bf34684c5767b87de9119790e92e9a1d60056be2ceeaf16a8e6ef13082aeab1"
[[package]]
name = "smallvec"
version = "1.8.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "f2dd574626839106c320a323308629dcb1acfc96e32a8cba364ddc61ac23ee83"
[[package]]
name = "static_assertions"
version = "1.1.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "a2eb9349b6444b326872e140eb1cf5e7c522154d69e7a0ffb0fb81c06b37543f"
[[package]]
name = "svg2pdf"
version = "0.2.1"
@ -874,6 +1122,15 @@ version = "0.12.3"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "7ae2f58a822f08abdaf668897e96a5656fe72f5a9ce66422423e8849384872e6"
[[package]]
name = "tuple"
version = "0.5.1"
source = "git+https://github.com/s3bk/tuple/#fdf8b4400ffb10506c711018a3cb918412a3c8c1"
dependencies = [
"num-traits",
"serde",
]
[[package]]
name = "typed-arena"
version = "2.0.1"
@ -904,6 +1161,7 @@ dependencies = [
"pixglyph",
"regex",
"resvg",
"rex",
"roxmltree",
"rustybuzz",
"same-file",
@ -933,6 +1191,12 @@ dependencies = [
"syn",
]
[[package]]
name = "ucd-trie"
version = "0.1.3"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "56dee185309b50d1f11bfedef0fe6d036842e3fb77413abef29f8f8d1c5d4c1c"
[[package]]
name = "unicode-bidi"
version = "0.3.7"
@ -957,6 +1221,14 @@ version = "0.4.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "07547e3ee45e28326cc23faac56d44f58f16ab23e413db526debce3b0bfd2742"
[[package]]
name = "unicode-math"
version = "0.1.0"
source = "git+https://github.com/s3bk/unicode-math/#8ab17ee2b125747876f48dfb579d58482bf876e5"
dependencies = [
"regex",
]
[[package]]
name = "unicode-script"
version = "0.5.4"
@ -1006,6 +1278,12 @@ dependencies = [
"svgtypes",
]
[[package]]
name = "version_check"
version = "0.9.4"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "49874b5167b65d7193b8aba1567f5c7d93d001cafc34600cee003eda787e483f"
[[package]]
name = "walkdir"
version = "2.3.2"
@ -1017,12 +1295,72 @@ dependencies = [
"winapi-util",
]
[[package]]
name = "wasi"
version = "0.9.0+wasi-snapshot-preview1"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "cccddf32554fecc6acb585f82a32a72e28b48f8c4c1883ddfeeeaa96f7d8e519"
[[package]]
name = "wasi"
version = "0.10.2+wasi-snapshot-preview1"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "fd6fbd9a79829dd1ad0cc20627bf1ed606756a7f77edff7b66b7064f9cb327c6"
[[package]]
name = "wasm-bindgen"
version = "0.2.80"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "27370197c907c55e3f1a9fbe26f44e937fe6451368324e009cba39e139dc08ad"
dependencies = [
"cfg-if",
"wasm-bindgen-macro",
]
[[package]]
name = "wasm-bindgen-backend"
version = "0.2.80"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "53e04185bfa3a779273da532f5025e33398409573f348985af9a1cbf3774d3f4"
dependencies = [
"bumpalo",
"lazy_static",
"log",
"proc-macro2",
"quote",
"syn",
"wasm-bindgen-shared",
]
[[package]]
name = "wasm-bindgen-macro"
version = "0.2.80"
source = "registry+https://github.com/rust-lang/crates.io-index"
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dependencies = [
"quote",
"wasm-bindgen-macro-support",
]
[[package]]
name = "wasm-bindgen-macro-support"
version = "0.2.80"
source = "registry+https://github.com/rust-lang/crates.io-index"
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dependencies = [
"proc-macro2",
"quote",
"syn",
"wasm-bindgen-backend",
"wasm-bindgen-shared",
]
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version = "0.2.80"
source = "registry+https://github.com/rust-lang/crates.io-index"
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[[package]]
name = "winapi"
version = "0.3.9"

View File

@ -42,6 +42,7 @@ usvg = { version = "0.20", default-features = false }
# External implementation of user-facing features
syntect = { version = "4.6", default-features = false, features = ["dump-load", "parsing", "regex-fancy", "assets"] }
rex = { git = "https://github.com/laurmaedje/ReX" }
# PDF export
miniz_oxide = "0.4"

View File

@ -211,13 +211,13 @@ impl Eval for RawNode {
}
}
impl Eval for MathNode {
impl Eval for Spanned<MathNode> {
type Output = Content;
fn eval(&self, _: &mut Context, _: &mut Scopes) -> TypResult<Self::Output> {
Ok(Content::show(library::math::MathNode {
formula: self.formula.clone(),
display: self.display,
formula: self.clone().map(|math| math.formula),
display: self.v.display,
}))
}
}

View File

@ -1,14 +1,17 @@
//! Mathematical formulas.
mod rex;
use crate::library::layout::BlockSpacing;
use crate::library::prelude::*;
use crate::library::text::FontFamily;
use crate::syntax::Spanned;
/// A mathematical formula.
#[derive(Debug, Hash)]
pub struct MathNode {
/// The formula.
pub formula: EcoString,
pub formula: Spanned<EcoString>,
/// Whether the formula is display-level.
pub display: bool,
}
@ -40,17 +43,23 @@ impl Show for MathNode {
fn encode(&self, _: StyleChain) -> Dict {
dict! {
"formula" => Value::Str(self.formula.clone()),
"formula" => Value::Str(self.formula.v.clone()),
"display" => Value::Bool(self.display)
}
}
fn realize(&self, _: &mut Context, _: StyleChain) -> TypResult<Content> {
let mut realized = Content::Text(self.formula.trim().into());
if self.display {
realized = Content::block(realized);
}
Ok(realized)
fn realize(&self, _: &mut Context, styles: StyleChain) -> TypResult<Content> {
let node = self::rex::RexNode {
tex: self.formula.clone(),
display: self.display,
family: styles.get(Self::FAMILY).clone(),
};
Ok(if self.display {
Content::block(node)
} else {
Content::inline(node)
})
}
fn finalize(

148
src/library/math/rex.rs Normal file
View File

@ -0,0 +1,148 @@
use rex::font::{FontContext, MathFont};
use rex::layout::{LayoutSettings, Style};
use rex::parser::color::RGBA;
use rex::render::{Backend, Cursor, Renderer};
use rex::error::{Error, LayoutError};
use crate::font::FaceId;
use crate::library::prelude::*;
use crate::library::text::{variant, FontFamily, Lang, TextNode};
/// A layout node that renders with ReX.
#[derive(Debug, Hash)]
pub struct RexNode {
/// The TeX formula.
pub tex: Spanned<EcoString>,
/// Whether the formula is display-level.
pub display: bool,
/// The font family.
pub family: FontFamily,
}
impl Layout for RexNode {
fn layout(
&self,
ctx: &mut Context,
_: &Regions,
styles: StyleChain,
) -> TypResult<Vec<Arc<Frame>>> {
// Load the font.
let face_id = match ctx.fonts.select(self.family.as_str(), variant(styles)) {
Some(id) => id,
None => return Ok(vec![]),
};
// Prepare the font.
let data = ctx.fonts.get(face_id).buffer();
let font = match MathFont::parse(data) {
Ok(font) => font,
Err(_) => return Ok(vec![]),
};
// Layout the formula.
let ctx = FontContext::new(&font);
let em = styles.get(TextNode::SIZE);
let style = if self.display { Style::Display } else { Style::Text };
let settings = LayoutSettings::new(&ctx, em.to_pt(), style);
let renderer = Renderer::new();
let layout = renderer.layout(&self.tex.v, settings)
.map_err(|err| match err {
Error::Parse(err) => err.to_string(),
Error::Layout(LayoutError::Font(err)) => err.to_string(),
})
.at(self.tex.span)?;
// Determine the metrics.
let (x0, y0, x1, y1) = renderer.size(&layout);
let width = Length::pt(x1 - x0);
let height = Length::pt(y1 - y0);
let size = Size::new(width, height);
let baseline = Length::pt(y1);
// Prepare a frame rendering backend.
let mut backend = FrameBackend {
frame: {
let mut frame = Frame::new(size);
frame.baseline = Some(baseline);
frame
},
baseline,
face_id,
fill: styles.get(TextNode::FILL),
lang: styles.get(TextNode::LANG),
colors: vec![],
};
// Render into the frame.
renderer.render(&layout, &mut backend);
Ok(vec![Arc::new(backend.frame)])
}
}
/// A ReX rendering backend that renders into a frame.
struct FrameBackend {
frame: Frame,
baseline: Length,
face_id: FaceId,
fill: Paint,
lang: Lang,
colors: Vec<RGBA>,
}
impl FrameBackend {
/// The currently active fill paint.
fn fill(&self) -> Paint {
self.colors
.last()
.map(|&RGBA(r, g, b, a)| RgbaColor::new(r, g, b, a).into())
.unwrap_or(self.fill)
}
/// Convert a cursor to a point.
fn transform(&self, cursor: Cursor) -> Point {
Point::new(Length::pt(cursor.x), self.baseline + Length::pt(cursor.y))
}
}
impl Backend for FrameBackend {
fn symbol(&mut self, pos: Cursor, gid: u16, scale: f64, _: &MathFont) {
self.frame.push(
self.transform(pos),
Element::Text(Text {
face_id: self.face_id,
size: Length::pt(scale),
fill: self.fill(),
lang: self.lang,
glyphs: vec![Glyph {
id: gid,
x_advance: Em::new(0.0),
x_offset: Em::new(0.0),
c: ' ',
}],
}),
);
}
fn rule(&mut self, pos: Cursor, width: f64, height: f64) {
self.frame.push(
self.transform(pos),
Element::Shape(Shape {
geometry: Geometry::Rect(Size::new(
Length::pt(width),
Length::pt(height),
)),
fill: Some(self.fill()),
stroke: None,
}),
);
}
fn begin_color(&mut self, color: RGBA) {
self.colors.push(color);
}
fn end_color(&mut self) {
self.colors.pop();
}
}

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@ -510,7 +510,7 @@ fn track_and_space(ctx: &mut ShapingContext) {
}
/// Resolve the font variant with `STRONG` and `EMPH` factored in.
fn variant(styles: StyleChain) -> FontVariant {
pub fn variant(styles: StyleChain) -> FontVariant {
let mut variant = FontVariant::new(
styles.get(TextNode::STYLE),
styles.get(TextNode::WEIGHT),

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@ -5,7 +5,7 @@
use std::num::NonZeroUsize;
use std::ops::Deref;
use super::{Green, GreenData, NodeKind, RedNode, RedRef, Span};
use super::{Green, GreenData, NodeKind, RedNode, RedRef, Span, Spanned};
use crate::geom::{AngleUnit, LengthUnit};
use crate::util::EcoString;
@ -77,7 +77,7 @@ impl Markup {
NodeKind::Strong => node.cast().map(MarkupNode::Strong),
NodeKind::Emph => node.cast().map(MarkupNode::Emph),
NodeKind::Raw(raw) => Some(MarkupNode::Raw(raw.as_ref().clone())),
NodeKind::Math(math) => Some(MarkupNode::Math(math.as_ref().clone())),
NodeKind::Math(math) => Some(MarkupNode::Math(Spanned::new(math.as_ref().clone(), node.span()))),
NodeKind::Heading => node.cast().map(MarkupNode::Heading),
NodeKind::List => node.cast().map(MarkupNode::List),
NodeKind::Enum => node.cast().map(MarkupNode::Enum),
@ -106,7 +106,7 @@ pub enum MarkupNode {
/// A raw block with optional syntax highlighting: `` `...` ``.
Raw(RawNode),
/// A math formula: `$a^2 = b^2 + c^2$`.
Math(MathNode),
Math(Spanned<MathNode>),
/// A section heading: `= Introduction`.
Heading(HeadingNode),
/// An item in an unordered list: `- ...`.

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@ -7,6 +7,14 @@ The sum of $a$ and $b$ is $a + b$.
We will show that:
$[ a^2 + b^2 = c^2 ]$
---
Prove by induction:
$[ \sum_{k=0}^n k = \frac{n(n+1)}{2} ]$
---
// Error: 1-10 expected '}' found EOF
$\sqrt{x$
---
// Error: 2:1 expected closing bracket and dollar sign
$[a