mirror of
https://github.com/typst/typst
synced 2025-05-13 20:46:23 +08:00
284 lines
7.1 KiB
Typst
284 lines
7.1 KiB
Typst
// Test matrices.
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--- math-mat-semicolon ---
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// Test semicolon syntax.
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#set align(center)
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$mat() dot
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mat(;) dot
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mat(1, 2) dot
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mat(1, 2;) \
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mat(1; 2) dot
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mat(1, 2; 3, 4) dot
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mat(1 + &2, 1/2; &3, 4)$
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--- math-mat-sparse ---
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// Test sparse matrix.
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$ mat(
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1, 2, ..., 10;
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2, 2, ..., 10;
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dots.v, dots.v, dots.down, dots.v;
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10, 10, ..., 10;
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) $
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--- math-mat-baseline ---
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// Test baseline alignment.
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$ mat(
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a, b^2;
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sum_(x \ y) x, a^(1/2);
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zeta, alpha;
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) $
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--- math-mat-delim-set ---
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// Test alternative delimiter with set rule.
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#set math.mat(delim: "[")
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$ mat(1, 2; 3, 4) $
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$ a + mat(delim: #none, 1, 2; 3, 4) + b $
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--- math-mat-delim-direct ---
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// Test alternative math delimiter directly in call.
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#set align(center)
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#grid(
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columns: 3,
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gutter: 10pt,
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$ mat(1, 2, delim: "[") $,
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$ mat(1, 2; delim: "[") $,
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$ mat(delim: "[", 1, 2) $,
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$ mat(1; 2; delim: "[") $,
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$ mat(1; delim: "[", 2) $,
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$ mat(delim: "[", 1; 2) $,
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$ mat(1, 2; delim: "[", 3, 4) $,
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$ mat(delim: "[", 1, 2; 3, 4) $,
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$ mat(1, 2; 3, 4; delim: "[") $,
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)
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--- math-mat-spread ---
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// Test argument spreading in matrix.
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$ mat(..#range(1, 5).chunks(2))
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mat(#(..range(2).map(_ => range(2)))) $
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#let nums = ((1,) * 5).intersperse(0).chunks(3)
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$ mat(..nums, delim: "[") $
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--- math-mat-spread-1d ---
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$ mat(..#range(1, 5) ; 1, ..#range(2, 5))
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mat(..#range(1, 3), ..#range(3, 5) ; ..#range(1, 4), 4) $
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--- math-mat-spread-2d ---
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#let nums = range(0, 2).map(i => (i, i+1))
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$ mat(..nums, delim: "|",)
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mat(..nums; delim: "|",) $
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$ mat(..nums) mat(..nums;) \
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mat(..nums;,) mat(..nums,) $
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--- math-mat-spread-expected-array-error ---
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#let nums = range(0, 2).map(i => (i, i+1))
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// Error: 15-16 expected array, found content
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$ mat(..nums, 0, 1) $
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--- math-mat-gap ---
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#set math.mat(gap: 1em)
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$ mat(1, 2; 3, 4) $
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--- math-mat-gaps ---
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#set math.mat(row-gap: 1em, column-gap: 2em)
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$ mat(1, 2; 3, 4) $
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$ mat(column-gap: #1em, 1, 2; 3, 4)
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mat(row-gap: #2em, 1, 2; 3, 4) $
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--- math-mat-augment ---
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// Test matrix line drawing (augmentation).
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#grid(
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columns: 2,
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gutter: 10pt,
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$ mat(10, 2, 3, 4; 5, 6, 7, 8; augment: #3) $,
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$ mat(10, 2, 3, 4; 5, 6, 7, 8; augment: #(-1)) $,
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$ mat(100, 2, 3; 4, 5, 6; 7, 8, 9; augment: #(hline: 2)) $,
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$ mat(100, 2, 3; 4, 5, 6; 7, 8, 9; augment: #(hline: -1)) $,
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$ mat(100, 2, 3; 4, 5, 6; 7, 8, 9; augment: #(hline: 1, vline: 1)) $,
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$ mat(100, 2, 3; 4, 5, 6; 7, 8, 9; augment: #(hline: -2, vline: -2)) $,
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$ mat(100, 2, 3; 4, 5, 6; 7, 8, 9; augment: #(vline: 2, stroke: 1pt + blue)) $,
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$ mat(100, 2, 3; 4, 5, 6; 7, 8, 9; augment: #(vline: -1, stroke: 1pt + blue)) $,
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)
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--- math-mat-augment-set ---
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// Test using matrix line drawing with a set rule.
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#set math.mat(augment: (hline: 2, vline: 1, stroke: 2pt + green))
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$ mat(1, 0, 0, 0; 0, 1, 0, 0; 0, 0, 1, 1) $
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#set math.mat(augment: 2)
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$ mat(1, 0, 0, 0; 0, 1, 0, 0; 0, 0, 1, 1) $
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#set math.mat(augment: none)
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--- math-mat-augment-line-out-of-bounds ---
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// Error: 3-37 cannot draw a vertical line after column 3 of a matrix with 3 columns
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$ mat(1, 0, 0; 0, 1, 1; augment: #3) $,
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--- math-mat-align ---
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$ mat(-1, 1, 1; 1, -1, 1; 1, 1, -1; align: #left) $
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$ mat(-1, 1, 1; 1, -1, 1; 1, 1, -1; align: #center) $
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$ mat(-1, 1, 1; 1, -1, 1; 1, 1, -1; align: #right) $
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--- math-mat-align-explicit-alternating ---
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// Test alternating explicit alignment in a matrix.
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$ mat(
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"a" & "a a a" & "a a";
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"a a" & "a a" & "a";
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"a a a" & "a" & "a a a";
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) $
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--- math-mat-align-implicit ---
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// Test alignment in a matrix.
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$ mat(
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"a", "a a a", "a a";
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"a a", "a a", "a";
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"a a a", "a", "a a a";
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) $
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--- math-mat-align-explicit-left ---
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// Test explicit left alignment in a matrix.
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$ mat(
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&"a", &"a a a", &"a a";
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&"a a", &"a a", &"a";
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&"a a a", &"a", &"a a a";
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) $
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--- math-mat-align-explicit-right ---
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// Test explicit right alignment in a matrix.
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$ mat(
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"a"&, "a a a"&, "a a"&;
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"a a"&, "a a"&, "a"&;
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"a a a"&, "a"&, "a a a"&;
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) $
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--- math-mat-align-explicit-mixed ---
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// Test explicit alignment in some columns with align parameter in a matrix.
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#let data = (
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($&18&&.02$, $1$, $+1$),
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($-&9&&.3$, $-1$, $-&21$),
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($&&&.011$, $1$, $&0$)
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)
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$ #math.mat(align: left, ..data) $
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$ #math.mat(align: center, ..data) $
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$ #math.mat(align: right, ..data) $
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--- math-mat-align-complex ---
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// Test #460 equations.
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#let stop = {
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math.class("punctuation",$.$)
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}
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$ mat(&a+b,c;&d, e) $
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$ mat(&a+b&,c;&d&, e) $
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$ mat(&&&a+b,c;&&&d, e) $
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$ mat(stop &a+b&stop,c;...stop stop&d&...stop stop, e) $
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--- math-mat-align-signed-numbers ---
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// Test #454 equations.
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$ mat(-1, 1, 1; 1, -1, 1; 1, 1, -1) $
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$ mat(-1&, 1&, 1&; 1&, -1&, 1&; 1&, 1&, -1&) $
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$ mat(-1&, 1&, 1&; 1, -1, 1; 1, 1, -1) $
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$ mat(&-1, &1, &1; 1, -1, 1; 1, 1, -1) $
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--- math-mat-bad-comma ---
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// This error message is bad.
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// Error: 13-14 expected array, found content
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$ mat(1, 2; 3, 4, delim: "[") $,
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--- issue-852-mat-type ---
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$ mat(B, A B) $
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$ mat(B, A B, dots) $
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$ mat(B, A B, dots;) $
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$ mat(#1, #(foo: "bar")) $
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--- issue-2268-mat-augment-color ---
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// The augment line should be of the same color as the text
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#set text(
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font: "New Computer Modern",
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lang: "en",
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fill: yellow,
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)
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$mat(augment: #1, M, v) arrow.r.squiggly mat(augment: #1, R, b)$
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--- math-mat-delims ---
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$ mat(delim: #none, 1, 2; 3, 4) $
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$ mat(delim: "(", 1, 2; 3, 4) $
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$ mat(delim: \(, 1, 2; 3, 4) $
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$ mat(delim: paren.l, 1, 2; 3, 4) $
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$ mat(delim: "[", 1, 2; 3, 4) $
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$ mat(delim: \[, 1, 2; 3, 4) $
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$ mat(delim: bracket.l, 1, 2; 3, 4) $
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$ mat(delim: "⟦", 1, 2; 3, 4) $
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$ mat(delim: bracket.double.l, 1, 2; 3, 4) $
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$ mat(delim: "{", 1, 2; 3, 4) $
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$ mat(delim: \{, 1, 2; 3, 4) $
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$ mat(delim: brace.l, 1, 2; 3, 4) $
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$ mat(delim: "|", 1, 2; 3, 4) $
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$ mat(delim: \|, 1, 2; 3, 4) $
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$ mat(delim: bar.v, 1, 2; 3, 4) $
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$ mat(delim: "‖", 1, 2; 3, 4) $
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$ mat(delim: bar.v.double, 1, 2; 3, 4) $
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$ mat(delim: "⟨", 1, 2; 3, 4) $
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$ mat(delim: angle.l, 1, 2; 3, 4) $
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--- math-mat-delims-inverted ---
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$ mat(delim: ")", 1, 2; 3, 4) $
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$ mat(delim: \), 1, 2; 3, 4) $
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$ mat(delim: paren.r, 1, 2; 3, 4) $
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$ mat(delim: "]", 1, 2; 3, 4) $
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$ mat(delim: \], 1, 2; 3, 4) $
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$ mat(delim: bracket.r, 1, 2; 3, 4) $
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$ mat(delim: "⟧", 1, 2; 3, 4) $
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$ mat(delim: bracket.double.r, 1, 2; 3, 4) $
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$ mat(delim: "}", 1, 2; 3, 4) $
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$ mat(delim: \}, 1, 2; 3, 4) $
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$ mat(delim: brace.r, 1, 2; 3, 4) $
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$ mat(delim: "⟩", 1, 2; 3, 4) $
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$ mat(delim: angle.r, 1, 2; 3, 4) $
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--- math-mat-delims-pair ---
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$ mat(delim: #(none, "["), 1, 2; 3, 4) $
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$ mat(delim: #(sym.angle.r, sym.bracket.double.r), 1, 2; 3, 4) $
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--- math-mat-linebreaks ---
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// Warning: 20-29 linebreaks are ignored in cells
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// Hint: 20-29 use commas instead to separate each line
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$ mat(a; b; c) mat(a \ b \ c) $
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--- math-mat-vec-cases-unity ---
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// Test that matrices, vectors, and cases are all laid out the same.
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$ mat(z_(n_p); a^2)
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vec(z_(n_p), a^2)
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cases(reverse: #true, delim: \(, z_(n_p), a^2)
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cases(delim: \(, z_(n_p), a^2) $
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--- issue-1617-mat-align ---
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#set page(width: auto)
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$ mat(a, b; c, d) mat(x; y) $
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$ x mat(a; c) + y mat(b; d)
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= mat(a x+b y; c x+d y) $
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$ mat(
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-d_0, lambda_0, 0, 0, dots;
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mu_1, -d_1, lambda_1, 0, dots;
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0, mu_2, -d_2, lambda_2, dots;
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dots.v, dots.v, dots.v, dots.v, dots.down;
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)
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mat(p_0; p_1; p_2; dots.v) $
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