User:Salix alba/TortureTest

Recreating the MathML torture test old version 20+ years old, new version from 2021 that allows different font's to be used. This performs very well if the DejaVu font is used.

Rendering of TortureTest

Number	LaTex	Rendered
1	x^2y^2	Dummy $x^{2}y^{2}$ text
2b	{}_2F_3	${}_{2}F_{3}$
3a	\frac{x+y^2}{k+1}	${\frac {x+y^{2}}{k+1}}$
3b	{x+y^2 \over k + 1}	${x+y^{2} \over k+1}$
4	x + y^{\frac{2}{k+1}}	$x+y^{\frac {2}{k+1}}$
5	\frac{a}{b/2} T375337	${\frac {a}{b/2}}$
6	a_0 + \frac{1}{\displaystyle a_1 + \frac{1}{\displaystyle a_2 + \frac{1}{\displaystyle a_3 + \frac{1}{a_4}}}}	$a_{0}+{\frac {1}{\displaystyle a_{1}+{\frac {1}{\displaystyle a_{2}+{\frac {1}{\displaystyle a_{3}+{\frac {1}{a_{4}}}}}}}}}$
7	a_0 + \tfrac{1}{a_1+\tfrac{1}{a_2+\tfrac{1}{a_3+\tfrac{1}{4}}}}	$a_{0}+{\tfrac {1}{a_{1}+{\tfrac {1}{a_{2}+{\tfrac {1}{a_{3}+{\tfrac {1}{4}}}}}}}}$
8	\binom{n}{k/2}	${\binom {n}{k/2}}$
9	\binom{p}{2}x^2y^{p-2}-\frac{1}{1-x}\frac{1}{1-x^2}	${\binom {p}{2}}x^{2}y^{p-2}-{\frac {1}{1-x}}{\frac {1}{1-x^{2}}}$
10a	\sum_\substack{0 \le i \le m \\ 0 < j < n} P(i,j)	Not currently supported T318784. See [1]
10b	\sum_{{}^{0 \le i \le m}_{0 < j < n}} P(i,j)	$\sum _{{}_{0<j<n}^{0\leq i\leq m}}P(i,j)$
11	x^{2y}	$x^{2y}$
12	\sum_{i=1}^p \sum_{j=1}^q \sum_{k=1}^r a_{ij} b_{jk} c_{ki}	$\sum _{i=1}^{p}\sum _{j=1}^{q}\sum _{k=1}^{r}a_{ij}b_{jk}c_{ki}$
13	\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+x}}}}}}}	${\sqrt {1+{\sqrt {1+{\sqrt {1+{\sqrt {1+{\sqrt {1+{\sqrt {1+{\sqrt {1+x}}}}}}}}}}}}}}$
14	\left( \frac{\partial}{\partial x^2}+\frac{\partial}{\partial x^2} \right) \left|\varphi(x+i y)\right|^2 = 0	$\left({\frac {\partial }{\partial x^{2}}}+{\frac {\partial }{\partial x^{2}}}\right)\left|\varphi (x+iy)\right|^{2}=0$
15	2^{2^{2^x}}	$2^{2^{2^{x}}}$
16	\int_1^x \frac{dt}{t}	$\int _{1}^{x}{\frac {dt}{t}}$
17	\iint_D dx dy	$\iint _{D}dxdy$
18	f(x) = \begin{cases} 1/3 & \text{if } 0 \le x \le 1 \\ 2/3 & \text{if } 3 \le x \le 4 \\ 0 & \text{elsewhere} \end{cases}	$f(x)={\begin{cases}1/3&{\text{if }}0\leq x\leq 1\\2/3&{\text{if }}3\leq x\leq 4\\0&{\text{elsewhere}}\end{cases}}$
19	\overbrace{ x+\cdots+x }^{k\text{ times}}	$\overbrace {x+\cdots +x} ^{k{\text{ times}}}$
20	y_{x^2}	$y_{x^{2}}$
21	\sum_{p\text{ prime}} f(p) = \int_{t>1} f(t) d\pi(t)	$\sum _{p{\text{ prime}}}f(p)=\int _{t>1}f(t)d\pi (t)$
22	\underbrace{ \overbrace{a,\ldots,a}^{k\,a\text{'s}}, \overbrace{b,\ldots,b}^{l\ b\text{'s}} }_{k+l\text{ elements}}	$\underbrace {\overbrace {a,\ldots ,a} ^{k\,a{\text{'s}}},\overbrace {b,\ldots ,b} ^{l\ b{\text{'s}}}} _{k+l{\text{ elements}}}$
23	\begin{pmatrix} \begin{pmatrix}a&b\\c&d\end{pmatrix} & \begin{pmatrix}e&f\\g&h\end{pmatrix} \\ 0 & \begin{pmatrix}i&j\\k&l\end{pmatrix} \end{pmatrix}	${\begin{pmatrix}{\begin{pmatrix}a&b\\c&d\end{pmatrix}}&{\begin{pmatrix}e&f\\g&h\end{pmatrix}}\\0&{\begin{pmatrix}i&j\\k&l\end{pmatrix}}\end{pmatrix}}$
24	\det\begin{vmatrix} c_0 & c_1 & c_2 & \ldots & c_n \\ c_1 & c_2 & c_3 & \ldots & c_{n+1} \\ c_2 & c_3 & c_4 & \ldots & c_{n+2} \\ \vdots & \vdots & \vdots & & \vdots \\ c_n & c_{n+1} & c_{n+2} & \ldots & c_{2n} \end{vmatrix}>0	$\det {\begin{vmatrix}c_{0}&c_{1}&c_{2}&\ldots &c_{n}\\c_{1}&c_{2}&c_{3}&\ldots &c_{n+1}\\c_{2}&c_{3}&c_{4}&\ldots &c_{n+2}\\\vdots &\vdots &\vdots &&\vdots \\c_{n}&c_{n+1}&c_{n+2}&\ldots &c_{2n}\end{vmatrix}}>0$
25	y_{x_2}	$y_{x_{2}}$
26	x^{31415}_{92}	$x_{92}^{31415}$
27	x^{z^d_c}_{y^a_b}	$x_{y_{b}^{a}}^{z_{c}^{d}}$
28	y^{\prime\prime\prime}_3	$y_{3}^{\prime \prime \prime }$
29	\lim_{n \to +\infty}\frac{\sqrt{2\pi n}}{n!}\left(\frac{n}{e}\right)^n = 1	$\lim _{n\to +\infty }{\frac {\sqrt {2\pi n}}{n!}}\left({\frac {n}{e}}\right)^{n}=1$
30	\det(A)=\sum_{\sigma\in S_n} e(\sigma)\prod_{i=1}^n a_{i,\sigma_i}	$\det(A)=\sum _{\sigma \in S_{n}}e(\sigma )\prod _{i=1}^{n}a_{i,\sigma _{i}}$

Rendering of Matrices

Number	LaTex	Rendered
1	\begin{pmatrix}a&b\\c&d\end{pmatrix} \begin{pmatrix}a&b\\c&d\\e&f\end{pmatrix} \begin{pmatrix}a&b\\c&d\\e&f\\g&h\end{pmatrix} \begin{pmatrix}a&b\\c&d\\e&f\\g&h\\i&j\end{pmatrix}	${\begin{pmatrix}a&b\\c&d\end{pmatrix}}{\begin{pmatrix}a&b\\c&d\\e&f\end{pmatrix}}{\begin{pmatrix}a&b\\c&d\\e&f\\g&h\end{pmatrix}}{\begin{pmatrix}a&b\\c&d\\e&f\\g&h\\i&j\end{pmatrix}}$
2	\begin{pmatrix}a&b\\c&d\end{pmatrix} \begin{pmatrix}a&b\\c&d\\e&f\end{pmatrix} \begin{pmatrix}a&b\\c&d\\e&f\\g&h\end{pmatrix} \begin{pmatrix}a&b\\c&d\\e&f\\g&h\\i&j\end{pmatrix}	${\begin{vmatrix}a&b\\c&d\end{vmatrix}}{\begin{vmatrix}a&b\\c&d\\e&f\end{vmatrix}}{\begin{vmatrix}a&b\\c&d\\e&f\\g&h\end{vmatrix}}{\begin{vmatrix}a&b\\c&d\\e&f\\g&h\\i&j\end{vmatrix}}$
3	\textstyle \int\limits_{-N}^{N} e^x dx	$\textstyle \int \limits _{-N}^{N}e^{x}dx$
4	\textstyle \int_{-N}^{N} e^x dx	$\textstyle \int _{-N}^{N}e^{x}dx$
3	\displaystyle \int\limits_{-N}^{N} e^x dx	$\displaystyle \int \limits _{-N}^{N}e^{x}dx$
4	\displaystyle \int_{-N}^{N} e^x dx	$\displaystyle \int _{-N}^{N}e^{x}dx$
5	\int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx	$\int \limits _{1}^{3}{\frac {e^{3}/x}{x^{2}}}\,dx$
6	\int_{1}^{3}\frac{e^3/x}{x^2}\, dx	$\int _{1}^{3}{\frac {e^{3}/x}{x^{2}}}\,dx$
7	\int\limits_{1}^{3}\frac{\frac{e^3}{x}}{\frac{x^2}{5}}\, dx	$\int \limits _{1}^{3}{\frac {\frac {e^{3}}{x}}{\frac {x^{2}}{5}}}\,dx$
8	\int_{1}^{3}\frac{\frac{e^3}{x}}{\frac{x^2}{5}}\, dx	$\int _{1}^{3}{\frac {\frac {e^{3}}{x}}{\frac {x^{2}}{5}}}\,dx$
9		${\displaystyle }$