mtable

Tests for MathML 4 mtable presentation attributes via mtable/mtable.js. Each row repeats the same MathML twice: the middle column is outside any polyfill wrapper (native mtable); the right column is wrapped in mtable-test-polyfill-root and processed with _MathTransforms.transform so you can compare native rendering with the polyfill. Unless a case is explicitly a 0×0 or 1×1 table, every mtable here has at least two non-empty rows or two non-empty columns. mlabeledtr tests are at the end of the page.

`align` (whole table)

Baseline reference x on both sides of the table in each row.

`align` values
Description	Native `mtable` (no polyfill on this subtree)	After `_MathTransforms.transform`
`align="top"`	$x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x$	$x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x$
`align="bottom"`	$x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x$	$x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x$
`align="center"`	$x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x$	$x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x$
`align="baseline"`	$x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x$	$x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x$
`align="axis"` (default)	$x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x$	$x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x$

`align` with row number

`align` and row index
Description	Native `mtable` (no polyfill on this subtree)	After `_MathTransforms.transform`
`align="baseline,1"` and `align="baseline, 2"`	$x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x$	$x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x$
`align="baseline,-2"` and `align="baseline, -1"` (should display the same as above row)	$x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x$	$x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x$
`align="axis,1"` and `align="axis,2"`	$x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x$	$x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x$
`align="axis,-2"` and `align="axis,-1"` (should display the same as above row)	$x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x$	$x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x - \begin{matrix} \frac{1}{2} \\ r \end{matrix} - x$

`rowalign`

`rowalign` list
Description	Native `mtable` (no polyfill on this subtree)	After `_MathTransforms.transform`
Test all the rowalign attributes.	$\begin{matrix} top & - j & t - \frac{\frac{1}{2}}{3} & - \frac{1}{\frac{2}{3}} \\ bottom & t - j & - \frac{\frac{1}{2}}{3} & - \frac{1}{\frac{2}{3}} \\ center & t - j & - \frac{\frac{1}{2}}{3} & - \frac{1}{\frac{2}{3}} \\ baseline & t - j & - \frac{\frac{1}{2}}{3} & - \frac{1}{\frac{2}{3}} \\ axis & t - j & - \frac{\frac{1}{2}}{3} & x - \frac{1}{\frac{2}{3}} \end{matrix}$	$\begin{matrix} top & - j & t - \frac{\frac{1}{2}}{3} & - \frac{1}{\frac{2}{3}} \\ bottom & t - j & - \frac{\frac{1}{2}}{3} & - \frac{1}{\frac{2}{3}} \\ center & t - j & - \frac{\frac{1}{2}}{3} & - \frac{1}{\frac{2}{3}} \\ baseline & t - j & - \frac{\frac{1}{2}}{3} & - \frac{1}{\frac{2}{3}} \\ axis & t - j & - \frac{\frac{1}{2}}{3} & x - \frac{1}{\frac{2}{3}} \end{matrix}$

`mtr` `rowalign` and `columnalign`

Per MathML 4, mtr may set rowalign and columnalign (space- or comma-separated lists, one token per column, last repeated) to override the enclosing mtable for that row only; mtd can override again.

`mtr` overrides `mtable`
Description	Native `mtable` (no polyfill on this subtree)	After `_MathTransforms.transform`
`mtable` `rowalign="center"` `columnalign="right"`; second `mtr` uses `rowalign="top, baseline, bottom"` and `columnalign="left center right"`.	$\begin{array}{r} a & \frac{1}{2} & z \\ x & \frac{1}{2} & \sqrt{t} \end{array}$	$\begin{array}{r} a & \frac{1}{2} & z \\ x & \frac{1}{2} & \sqrt{t} \end{array}$

`mtable` → `mtr` → `mtd`

mtable sets rowalign="bottom" and columnalign="right" (lists repeat per row / column).
Each mtr overrides with its own rowalign / columnalign lists
Selected mtd elements override again.
Each cell is prefixed with (r, c) for the resolved alignment (bot for bottom; otherwise the first letter of rowalign / columnalign).

Inherited alignment overrides
Description	Native `mtable` (no polyfill on this subtree)	After `_MathTransforms.transform`
Defaults on `mtable`; per-row lists on `mtr`; `mtd` overrides as in the list below. Each cell starts with `(r, c)`, telling what the `rowalign` / `columnalign` should be. The first letter of the attr value is used, except `bot` = bottom.	$\begin{array}{r} (b, r) Q_{a + b} + c \frac{2}{3} + y & (b, c) - \frac{\sqrt{x}}{4} & (bot, r) x \\ (b, r) k + k & (b, c) \frac{1}{\frac{2}{3} + y} & (c, c) n^{2} \\ (b, l) u & (t, l) \frac{1}{t} & (c, r) r + s + t + u + v \\ (bot, c) \frac{x^{2}}{3} + y & (t, l) X_{i}^{2 + 1} & (b, r) p \\ (t, r) \frac{1}{\frac{2}{3}} & (b, l) L_{a + b} + d & (bot, l) g \\ Label & (t, r) \frac{1}{\frac{2}{3}} & (b, l) L_{a + b} + d & (bot, l) g \end{array}$	$\begin{array}{r} (b, r) Q_{a + b} + c \frac{2}{3} + y & (b, c) - \frac{\sqrt{x}}{4} & (bot, r) x \\ (b, r) k + k & (b, c) \frac{1}{\frac{2}{3} + y} & (c, c) n^{2} \\ (b, l) u & (t, l) \frac{1}{t} & (c, r) r + s + t + u + v \\ (bot, c) \frac{x^{2}}{3} + y & (t, l) X_{i}^{2 + 1} & (b, r) p \\ (t, r) \frac{1}{\frac{2}{3}} & (b, l) L_{a + b} + d & (bot, l) g \\ Label & (t, r) \frac{1}{\frac{2}{3}} & (b, l) L_{a + b} + d & (bot, l) g \end{array}$
Override map (row 0 = top of `mtable`): Row 0 — `mtr`: `rowalign="top baseline bottom"`, `columnalign="left center right"`; `mtd` (0,0): `rowalign="axis"`, `columnalign="right"`. Row 1 — `mtr`: `rowalign="center"` (×3), `columnalign="right center left"`; `mtd` (1,2): `columnalign="center"`. Row 2 — `mtr`: `rowalign="baseline axis center"`, `columnalign="left center right"`; `mtd` (2,1): `rowalign="top"`, `columnalign="left"`. Row 3 — `mtr` only: `rowalign="bottom top baseline"`, `columnalign="center left right"`. Row 4 — `mtr`: `rowalign="top baseline bottom"`, `columnalign="right left center"`; `mtd` (4,2): `rowalign="center"`, `columnalign="left"`. Row 5 — `mlabeledtr` (same lists as row 4 `mtr`): row lists apply to the three equation `mtd`s only; the label column uses `mtable` `rowalign` / `columnalign` for that row/column.

`columnalign`

Three rows; columnalign="left center right"; columns have very different widths.

`columnalign` list
Description	Native `mtable` (no polyfill on this subtree)	After `_MathTransforms.transform`
Left, center, and right alignment per column	$\begin{array}{lcr} w + w + w & m & Z_{a + b} + x^{2} + y + k \\ \sqrt{x} + 1 + s & \frac{1}{2} + t x + t & w + i + d i + d + e \\ x - a & \frac{b + b + b + b + b + b + b}{b_{0}^{2}} & i \cdot i + 0 \end{array}$	$\begin{array}{lcr} w + w + w & m & Z_{a + b} + x^{2} + y + k \\ \sqrt{x} + 1 + s & \frac{1}{2} + t x + t & w + i + d i + d + e \\ x - a & \frac{b + b + b + b + b + b + b}{b_{0}^{2}} & i \cdot i + 0 \end{array}$

Column and table sizing

`columnwidth`, `width`
Description	Native `mtable` (no polyfill on this subtree)	After `_MathTransforms.transform`
`columnwidth="auto 6em fit"` with `width="28em"`	$\begin{matrix} auto grows & 6em & fit column \end{matrix}$	$\begin{matrix} auto grows & 6em & fit column \end{matrix}$
`width="50%"`	$\begin{matrix} half width table & b \end{matrix}$	$\begin{matrix} half width table & b \end{matrix}$

Spacing between rows and columns

`rowspacing`, `columnspacing`
Description	Native `mtable` (no polyfill on this subtree)	After `_MathTransforms.transform`
`rowspacing="0.1ex 0.7ex 2ex"`	$\begin{matrix} 1 \\ 2 \\ 3 \\ 4 \\ 5 \end{matrix}$	$\begin{matrix} 1 \\ 2 \\ 3 \\ 4 \\ 5 \end{matrix}$
`columnspacing="0.1em 2em"`	$\begin{matrix} a & b & c & d \end{matrix}$	$\begin{matrix} a & b & c & d \end{matrix}$

Frames and row/column lines

`rowlines`, `columnlines`, `frame`, `framespacing`
Description	Native `mtable` (no polyfill on this subtree)	After `_MathTransforms.transform`
`rowlines="dashed none solid"`	$\begin{matrix} 1 & a \\ 2 & b \\ 3 & c \\ 4 & d \\ 5 & e \end{matrix}$	$\begin{matrix} 1 & a \\ 2 & b \\ 3 & c \\ 4 & d \\ 5 & e \end{matrix}$
`columnlines="dashed none solid"`	$\begin{matrix} 1 & 2 & 3 & 4 & 5 \\ a & b & c & d & e \end{matrix}$	$\begin{matrix} 1 & 2 & 3 & 4 & 5 \\ a & b & c & d & e \end{matrix}$
`frame="solid"`	$\begin{matrix} framed & b \end{matrix}$	$\begin{matrix} framed & b \end{matrix}$
`frame="dashed"`	$\begin{matrix} dashed frame & c \end{matrix}$	$\begin{matrix} dashed frame & c \end{matrix}$
`frame="solid"` with `framespacing="2em 2ex"`	$\begin{matrix} padded frame & d \end{matrix}$	$\begin{matrix} padded frame & d \end{matrix}$
`frame="solid"`, `rowlines="dashed dashed"`, `columnlines="dashed dashed"`	$\begin{matrix} 1 & a & \frac{1}{2} \\ \sqrt{x} & + x & n^{k^{2}} \\ π & long text & y = 0 \end{matrix}$	$\begin{matrix} 1 & a & \frac{1}{2} \\ \sqrt{x} & + x & n^{k^{2}} \\ π & long text & y = 0 \end{matrix}$

`equalrows`, `equalcolumns`

Equal sizing
Description	Native `mtable` (no polyfill on this subtree)	After `_MathTransforms.transform`
`equalrows="true"`	$\begin{matrix} x & x^{2} \\ \frac{y}{x^{2}} & \frac{z^{3} + k + m}{\sqrt{z}} \end{matrix}$	$\begin{matrix} x & x^{2} \\ \frac{y}{x^{2}} & \frac{z^{3} + k + m}{\sqrt{z}} \end{matrix}$
`equalcolumns="true"`	$\begin{matrix} WW & MMMMMMMMMMMM \\ \frac{a + b + c}{d} & ii \end{matrix}$	$\begin{matrix} WW & MMMMMMMMMMMM \\ \frac{a + b + c}{d} & ii \end{matrix}$
`equalrows="true"` `equalcolumns="true"`	$\begin{matrix} x & x^{2} \\ \frac{y}{x^{2}} & \frac{z^{3} + k + m}{\sqrt{z}} \end{matrix}$	$\begin{matrix} x & x^{2} \\ \frac{y}{x^{2}} & \frac{z^{3} + k + m}{\sqrt{z}} \end{matrix}$

`displaystyle`

Display style inside cells
Description	Native `mtable` (no polyfill on this subtree)	After `_MathTransforms.transform`
No `displaystyle` attribute (MathML 4 default `false` inside table).	$\begin{matrix} \sum_{k = 1}^{n} k & \int_{0}^{\frac{3}{2}} x d x \end{matrix}$	$\begin{matrix} \sum_{k = 1}^{n} k & \int_{0}^{\frac{3}{2}} x d x \end{matrix}$
`displaystyle="true"`	$\begin{matrix} \sum_{k = 1}^{n} k & \int_{0}^{\frac{3}{2}} x d x \end{matrix}$	$\begin{matrix} \sum_{k = 1}^{n} k & \int_{0}^{\frac{3}{2}} x d x \end{matrix}$

`mathcolor` with rules

Lines use `currentColor`
Description	Native `mtable` (no polyfill on this subtree)	After `_MathTransforms.transform`
`mathcolor` on parent `math` with frame and row/column lines.	$\begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix}$	$\begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix}$

`mlabeledtr`

Labeled equation rows are expanded to mtr inside mtable/mtable.js (padding mtd on other rows, intent on the label). On mlabeledtr, rowalign / columnalign lists apply to equation mtds only; the label column uses mtable defaults for that row/column. On mtable, column-wise lists (columnalign, columnwidth, and mtr rowalign / columnalign) use list index n−1 for the label column so the first token is for the first equation column. columnspacing and rowspacing still use physical column/row gaps. columnlines list tokens apply only between equation columns (no rule between the label column and the equation block). The frame border wraps equation columns only (the label sits outside that outline). rowlines are drawn on equation cells only so they do not extend through the label column. Compare native (middle) with the polyfill (right).

`mlabeledtr` expansion, `intent`, and column-wise lists
Description	Native (no polyfill on this subtree)	After `_MathTransforms.transform`
Default `mtable@side` (`right`): label `(2.1)` on the right of the first row.	$\begin{matrix} (2.1) & E = m c^{2} \\ a^{2} + b^{2} = c^{2} \end{matrix}$	$\begin{matrix} (2.1) & E = m c^{2} \\ a^{2} + b^{2} = c^{2} \end{matrix}$
`mtable side="left"`: label on the left of the labeled row (second row here).	$\begin{matrix} a^{2} + b^{2} = c^{2} \\ (2.1) & E = m c^{2} \end{matrix}$	$\begin{matrix} a^{2} + b^{2} = c^{2} \\ (2.1) & E = m c^{2} \end{matrix}$
Label `intent`: with property `:equation-label` (console error if `data-expected` does not match).	$\begin{matrix} (intent="foo") & E = m c^{2} \\ (intent "foo(1)") & E = m c^{2} \\ (intent=":my-property") & E = m c^{2} \\ (intent=":equation-label") & E = m c^{2} \end{matrix}$	$\begin{matrix} (intent="foo") & E = m c^{2} \\ (intent "foo(1)") & E = m c^{2} \\ (intent=":my-property") & E = m c^{2} \\ (intent=":equation-label") & E = m c^{2} \end{matrix}$
`mtable columnalign="left center right"` `columnlines="solid dashed"` the first row is labeled	$\begin{array}{lcr} (Label) & a & bbb & c \\ xxx & y & zzzz \end{array}$	$\begin{array}{lcr} (Label) & a & bbb & c \\ xxx & y & zzzz \end{array}$
`mtable columnwidth="7em auto"` `columnlines="solid"` `columnspacing="1em 1em"` the first row is labeled	$\begin{matrix} (Label) & w + w + w & z \\ 1 & 2 \end{matrix}$	$\begin{matrix} (Label) & w + w + w & z \\ 1 & 2 \end{matrix}$
Label on the first and third row. `mtable`: `frame="solid" rowlines="solid" columnlines="dashed" rowspacing="0.6ex" columnspacing="0.5em 1.2em"`	$\begin{matrix} (Label 1) & p & q \\ rrr & s \\ (Label 2) & s & tttt \end{matrix}$	$\begin{matrix} (Label 1) & p & q \\ rrr & s \\ (Label 2) & s & tttt \end{matrix}$
Label on the left side of the table. `mtable side="left"` with `columnalign="center right left"` `columnlines="solid"` on `mlabeledtr`.	$\begin{array}{crl} α & βββ \\ (Label) & uuuu & v \end{array}$	$\begin{array}{crl} α & βββ \\ (Label) & uuuu & v \end{array}$
First row should align on top, then baseline, and label falls back to the mtable's `rowalign="bottom"`. Second row should align on bottom `mtable` with `rowalign="bottom"` `mlabeledtr` with `rowalign="top baseline" columnalign="left right"`	$\begin{matrix} (1.1) & x & \int_{0}^{\frac{3}{2}} x d x \\ yyyy & \frac{1}{2} \end{matrix}$	$\begin{matrix} (1.1) & x & \int_{0}^{\frac{3}{2}} x d x \\ yyyy & \frac{1}{2} \end{matrix}$

mtable

align (whole table)

align with row number

rowalign

mtr rowalign and columnalign

mtable → mtr → mtd

columnalign