typst_library/math/frac.rs
1use typst_syntax::Spanned;
2
3use crate::diag::bail;
4use crate::foundations::{Cast, Content, Value, elem};
5use crate::layout::Em;
6use crate::math::Mathy;
7
8/// How much padding to add around each side of a fraction.
9pub const FRAC_PADDING: Em = Em::new(0.1);
10
11/// A mathematical fraction.
12///
13/// = Example <example>
14/// ```example
15/// $ 1/2 < (x+1)/2 $
16/// $ ((x+1)) / 2 = frac(a, b) $
17/// ```
18///
19/// = Syntax <syntax>
20/// This function also has dedicated syntax: Use a slash to turn neighbouring
21/// expressions into a fraction. Multiple atoms can be grouped into a single
22/// expression using round grouping parentheses. Such parentheses are removed
23/// from the output, but you can nest multiple to force them.
24#[elem(title = "Fraction", Mathy)]
25pub struct FracElem {
26 /// The fraction's numerator.
27 #[required]
28 pub num: Content,
29
30 /// The fraction's denominator.
31 #[required]
32 pub denom: Content,
33
34 /// How the fraction should be laid out.
35 ///
36 /// #example(
37 /// title: "Styles",
38 /// ```
39 /// $ frac(x, y, style: "vertical") $
40 /// $ frac(x, y, style: "skewed") $
41 /// $ frac(x, y, style: "horizontal") $
42 /// ```
43 /// )
44 ///
45 /// #example(
46 /// title: "Setting the default",
47 /// ```
48 /// #set math.frac(style: "skewed")
49 /// $ a / b $
50 /// ```
51 /// )
52 ///
53 /// #example(
54 /// title: "Handling of grouping parentheses",
55 /// ```
56 /// // Grouping parentheses are removed.
57 /// #set math.frac(style: "vertical")
58 /// $ (a + b) / b $
59 ///
60 /// // Grouping parentheses are removed.
61 /// #set math.frac(style: "skewed")
62 /// $ (a + b) / b $
63 ///
64 /// // Grouping parentheses are retained.
65 /// #set math.frac(style: "horizontal")
66 /// $ (a + b) / b $
67 /// ```
68 /// )
69 ///
70 /// #example(
71 /// title: "Different styles in inline vs block equations",
72 /// ```
73 /// // This changes the style for inline equations only.
74 /// #show math.equation.where(block: false): set math.frac(style: "horizontal")
75 ///
76 /// This $(x-y)/z = 3$ is inline math, and this is block math:
77 /// $ (x-y)/z = 3 $
78 /// ```
79 /// )
80 ///
81 /// #example(
82 /// title: "Use LaTeX-like convention",
83 /// ```
84 /// // Change the default style.
85 /// #set math.frac(style: "horizontal")
86 /// // Define a shorthand with the original style.
87 /// #let frac = math.frac.with(style: "vertical")
88 ///
89 /// $ p/q = frac(p, q) $
90 ///
91 /// // The shadowed definition can still be accessed.
92 /// #assert.eq($p/q$, $std.math.frac(p, q)$)
93 /// ```
94 /// )
95 #[default(FracStyle::Vertical)]
96 pub style: FracStyle,
97
98 /// Whether the numerator was originally surrounded by parentheses that were
99 /// stripped by the parser.
100 #[internal]
101 #[parse(None)]
102 #[default(false)]
103 pub num_deparenthesized: bool,
104
105 /// Whether the denominator was originally surrounded by parentheses that
106 /// were stripped by the parser.
107 #[internal]
108 #[parse(None)]
109 #[default(false)]
110 pub denom_deparenthesized: bool,
111}
112
113/// Fraction style
114#[derive(Debug, Default, Copy, Clone, Eq, PartialEq, Hash, Cast)]
115pub enum FracStyle {
116 /// Stacked numerator and denominator with a bar.
117 #[default]
118 Vertical,
119 /// Numerator and denominator separated by a slash.
120 Skewed,
121 /// Numerator and denominator placed inline and parentheses are not
122 /// absorbed.
123 Horizontal,
124}
125
126/// A binomial expression.
127///
128/// = Example <example>
129/// ```example
130/// $ binom(n, k) $
131/// $ binom(n, k_1, k_2, k_3, ..., k_m) $
132/// ```
133#[elem(title = "Binomial", Mathy)]
134pub struct BinomElem {
135 /// The binomial's upper index.
136 #[required]
137 pub upper: Content,
138
139 /// The binomial's lower index.
140 #[required]
141 #[variadic]
142 #[parse(
143 let values = args.all::<Spanned<Value>>()?;
144 if values.is_empty() {
145 // Prevents one element binomials
146 bail!(args.span, "missing argument: lower");
147 }
148 values.into_iter().map(|spanned| spanned.v.display()).collect()
149 )]
150 pub lower: Vec<Content>,
151}