File Format Specification

This page describes the technical specification for the Radical Pie native file format. This information is provided for developers, and it is not necessary to know how any of this works in order to use Radical Pie.

The native file format used by Radical Pie is a text format that uses the syntax defined by the Open Data Description Language (OpenDDL). Equation data is written in this form to files with the .pie extension. The same text is embedded in the SVG, PDF, and EMF formats when they are saved by Radical Pie.

A Radical Pie equation is stored in the five sections shown in the following table, and they must occur in the order listed. Only the main equation group is required, and each of the other sections may be omitted in the case that they are empty.

Design Structures

Drawing Structures
for Background Layer

Main Equation Group

Annotation Equation Groups

Drawing Structures
for Foreground Layer

The following table lists every type of structure that can appear in the .pie format. As indicated in the table, all of the structure types belong to one of four categories: equation structures, drawing structures, modifier structures, and a special connector structure.

Structure	Category	Type
`Al`	Equation	Aligner structure.
`Ar`	Equation	Arrow structure.
`Bg`	Equation	Begin structure.
`Br`	Equation	Bracket structure.
`Bx`	Equation	Box structure.
`Cn`	Drawing	Corner structure.
`D`	Design	Design structure.
`Dv`	Equation	Division structure.
`El`	Drawing	Ellipse structure.
`En`	Modifier	Enclose structure.
`F`	Design	Font structure.
`Fr`	Equation	Fraction structure.
`Gr`	Equation	Group structure.
`In`	Equation	Integral structure.
`It`	Equation	Iteration structure.
`Jo`	Drawing	Joist structure.
`Kt`	Equation	Strike structure.
`Ln`	Drawing	Line structure.
`M`	Design	Map structure.
`Mk`	Modifier	Mark structure.
`Mx`	Equation	Matrix structure.
`Ng`	Modifier	Negate structure.
`P`	Design	Palette structure.
`Ph`	Equation	Phantom structure.
`Pr`	Equation	Prime structure.
`Rd`	Equation	Radical structure.
`Rr`	Drawing	Rounded rectangle structure.
`Rt`	Drawing	Rectangle structure.
`Sb`	Equation	Symbol structure.
`Sc`	Equation	Script structure.
`Sl`	Modifier	Slash structure.
`Sp`	Equation	Space structure.
`St`	Equation	Stack structure.
`V`	Design	Value structure.
`Wm`	Equation	Widemark structure.
`X`	Connector	Connector structure.
`Zg`	Drawing	Zigzag structure.

General Equation Structure Properties

The following properties are available for all structures in the equation category that generate visible graphics.

Property	Type	Default	Description
`pi`	`int32`	0	The palette index used by the structure. This must be in the range 0–15.
`co`	`uint32`	`0xFF000000`	The color of the structure as an ABGR value. The alpha component should always be `0xFF`.

General Drawing Structure Properties

The following properties are available for all structures in the drawing category.

Property	Type	Default	Description
`f`	`bool`	—	The fill flag.
`s`	`bool`	—	The stroke flag.
`w`	`uint8`	0	The stroke width index. This must be in the range 0–4.
`d`	`uint8`	0	The stroke dash index. This must be in the range 0–3.
`fpi`	`int32`	0	The fill palette index used by the structure. This must be in the range 0–15.
`fco`	`uint32`	`0xFF000000`	The fill color of the structure as an ABGR value. The alpha component should always be `0xFF`.
`spi`	`int32`	0	The stroke palette index used by the structure. This must be in the range 0–15.
`sco`	`uint32`	`0xFF000000`	The stroke color of the structure as an ABGR value. The alpha component should always be `0xFF`.

`Al` — Aligner Structure

The Al structure represents an aligner.

Properties

The properties listed in the following table may be specified for an Al structure.

Property	Type	Default	Description
`al`	`uint32`	`'left'`	The alignment of the expression preceding the aligner. This must be `'left'`, `'rght'`, or `'cent'`.

`Ar` — Arrow Structure

The Ar structure represents a big arrow.

Substructures

The following structures compose the data stored inside an Ar structure.

Substructure	Min	Max	Description
`Gr`	0	2	An arrow structure may contain the following subgroups. A group of type `'uppr'` containing the upper label. A group of type `'lowr'` containing the lower label.
`uint32`	2	4	Arrays containing information about the arrows and the charms attached to them.

The first array of uint32 values contains the types of the arrows from top to bottom. The number of entries determines how many arrows are drawn, and there must be one, two, or three entries. Each arrow type can be one of the following values.

Value	Description
`'long'`	A full-length arrow.
`'left'`	A short arrow aligned left.
`'rght'`	A short arrow aligned right.
`'cent'`	A short arrow aligned center.

An additional array of uint32 values follows the arrow type array for each of the one to three arrows specified. Each of these arrays contains information about the charms belonging to the corresponding arrow. The values stored in these arrays are a mixture of charm types and alignment specifiers that are processed in order. When the array is interpreted by Radical Pie, the initial alignment is right, but values of 'left', 'rght', and 'cent' occurring in the array change the current alignment. Each charm type occurring in the array causes a new charm of that type to be added to the arrow at the position corresponding to the current alignment. Up to three charms can be specified for each of the left, right, and center alignments. The charms placed at the left and center alignments stack from left to right, and the charms placed at the right alignment stack from right to left.

The charm type can be one of the following values. Each type of charm is valid only for the positions on an arrow indicated by a bullet in the Left, Right, and Interior columns. The left position corresponds to the leftmost charm on the left end of an arrow, and the right position corresponds to the rightmost charm on the right end of an arrow. All other positions, including those belonging to the left and right ends of an arrow but not at the farthest extremes, are considered interior positions.

Value	Left	Right	Interior	Description
`'larw'`	•	•	•	Arrow pointing left.
`'rarw'`	•	•	•	Arrow pointing right.
`'labr'`	•			Arrow pointing left to bar.
`'rabr'`		•		Arrow pointing right to bar.
`'luhp'`	•			Upward harpoon pointing left.
`'ruhp'`		•		Upward harpoon pointing right.
`'ldhp'`	•			Downward harpoon pointing left.
`'rdhp'`		•		Downward harpoon pointing right.
`'luhb'`	•			Upward harpoon pointing left to bar.
`'ruhb'`		•		Upward harpoon pointing right to bar.
`'ldhb'`	•			Downward harpoon pointing left to bar.
`'rdhb'`		•		Downward harpoon pointing right to bar.
`'barr'`	•	•	•	Bar.
`'line'`	•	•	•	Line.
`'dbln'`	•	•	•	Double line.
`'slsh'`	•	•	•	Slash.
`'dbsl'`	•	•	•	Double slash.
`'back'`	•	•	•	Backslash.
`'dbbk'`	•	•	•	Double backslash.
`'exxx'`	•	•	•	X.
`'circ'`	•	•	•	Open circle.
`'sdcr'`	•	•	•	Solid circle.
`'squa'`	•	•	•	Open square.
`'sdsq'`	•	•	•	Solid square.
`'diam'`	•	•	•	Open diamond.
`'sddm'`	•	•	•	Solid diamond.
`'ltri'`	•	•	•	Open left-pointing triangle.
`'sdlt'`	•	•	•	Solid left-pointing triangle.
`'rtri'`	•	•	•	Open right-pointing triangle.
`'sdrt'`	•	•	•	Solid right-pointing triangle.
`'luhk'`	•			Left upward hook.
`'ldhk'`	•			Left downward hook.
`'ruhk'`		•		Right upward hook.
`'rdhk'`		•		Right downward hook.
`'lfsh'`	•			Left fishtail.
`'rfsh'`		•		Right fishtail.
`'lulp'`	•			Left upward loop.
`'ldlp'`	•			Left downward loop.
`'rulp'`		•		Right upward looploop.
`'rdlp'`		•		Right downward loop.

`Bg` — Begin Structure

The Bg structure specifies the beginning of a line within a group.

Properties

The properties listed in the following table may be specified for a Bg structure.

Property	Type	Default	Description
`lg`	`float`	−1.0	The line gap preceding the begin structure, in math units. If this is negative, then the line gap defined by the equation design is used.

`Br` — Bracket Structure

The Br structure represents a bracket.

Properties

The properties listed in the following table may be specified for a Br structure.

Property	Type	Default	Description
`as`	`bool`	`false`	The asymmetric flag.
`ca`	`bool`	`false`	The center axis flag.

Substructures

The following structures compose the data stored inside a Br structure.

Substructure	Min	Max	Description
`Gr`	1	9	A bracket structure must contain at least one subgroup. For a multi-component bracket, groups should be listed in order from left to right. All groups should have the default group type.
`uint32`	1	1	An array of two or three Unicode character values for the left, right, and center parts of the bracket in that order. The center character should be omitted for single-component brackets. A value of zero specified for either the left or right character means the corresponding part of the bracket is not drawn.

`Bx` — Box Structure

The Bx structure represents a box.

Properties

The properties listed in the following table may be specified for a Bx structure.

Property	Type	Default	Description
`t`	`uint32`	`'full'`	The type of box. This must be one of the values listed below.

The box type can be one of the following values.

Value	Description
`'full'`	A full four-sided box.
`'lwlf'`	A box with bottom and left sides only.
`'lwrt'`	A box with bottom and right sides only.
`'uplf'`	A box with top and left sides only.
`'uprt'`	A box with top and right sides only.

Substructures

The following structures compose the data stored inside a Bx structure.

Substructure	Min	Max	Description
`Gr`	1	1	A box structure must contain a subgroup of the default type.

`Cn` — Corner Structure

The Cn structure represents a corner drawing object.

Properties

The properties listed in the following table may be specified for a Cn structure.

Property	Type	Default	Description
`v`	`bool`	`false`	The vertical flag.

Substructures

The following structures compose the data stored inside a Cn structure.

Substructure	Min	Max	Description
`X`	1	1	Each drawing structure must contain a connector structure.

`D` — Design Structure

The D structure contains a design specification.

Substructures

The following structures compose the data stored inside a D structure.

Substructure	Max	Description
`V`	—	A value structure containing a design parameter.
`F`	15	A font structure containing a font specification.
`M`	21	A map structure containing a style mapping.
`P`	1	A palette structure containing a palette specification.

`Dv` — Division Structure

The Dv structure represents a long division.

Substructures

The following structures compose the data stored inside a Dv structure.

Substructure	Min	Max	Description
`Gr`	1	2	A division structure may contain the following subgroups. A group of the default type containing the dividend. This subgroup is required. A group of type `'quot'` containing the quotient.

`El` — Ellipse Structure

The El structure represents an ellipse drawing object.

Substructures

The following structures compose the data stored inside an El structure.

Substructure	Min	Max	Description
`X`	1	1	Each drawing structure must contain a connector structure.

`En` — Enclose Structure

The En structure represents an enclosure applied to a single symbol.

Properties

The properties listed in the following table may be specified for an En structure.

Property	Type	Default	Description
`t`	`uint32`	`'circ'`	The type of enclosure. This must be `'circ'`, `'squa'`, or `'rdsq'`.

`F` — Font Structure

The F structure specifies a font in a design.

Properties

The properties listed in the following table may be specified for an F structure.

Property	Type	Default	Description
`i`	`int32`	0	The font index. This must be in the range 0–15.

`Fr` — Fraction Structure

The Fr structure represents a fraction.

Properties

The properties listed in the following table may be specified for an Fr structure.

Property	Type	Default	Description
`t`	`uint32`	`'vert'`	The type of fraction. This must be `'vert'`, `'horz'`, or `'diag'`.
`sm`	`bool`	`false`	The small layout flag. This can be `true` only if the fraction type is `'vert'` or `'diag'`.
`at`	`bool`	`false`	The atop flag. This can be `true` only if the fraction type is `'vert'`.

Substructures

The following structures compose the data stored inside an Fr structure.

Substructure	Min	Max	Description
`Gr`	2	2	A fraction structure must contain both of the following subgroups. A group of type `'numr'` containing the numerator. A group of type `'dnom'` containing the denominator.

`Gr` — Group Structure

The Gr structure specifies a group within an equation.

Properties

The properties listed in the following table may be specified for a Gr structure.

Property	Type	Default	Description
`t`	`uint32`	0	The group type.
`al`	`uint32`	0	The group horizontal alignment.
`ba`	`uint32`	`'last'`	The group baseline alignment.
`as`	`float`	1.0	The adjustment scale. This must be greater than 0.0.
`ax`	`float`	0.0	The adjustment x offset (nudge), in math units.
`ay`	`float`	0.0	The adjustment y offset (nudge), in math units.

The group type can be one of the following values.

Value	Description
0	Main group. This type is used for the main equation as well as the primary subgroup for various mathematical structures.
`'anno'`	Annotation group. This type is used only for top-level groups containing annotation equations.
`'subs'`	Subscript group. This type applies only to a subgroup of the script structure.
`'sups'`	Superscript group. This type applies only to a subgroup of the script structure.
`'numr'`	Numerator group. This type applies only to a subgroup of the fraction structure.
`'dnom'`	Denominator group. This type applies only to a subgroup of the fraction structure.
`'degr'`	Degree group. This type applies only to a subgroup of the radical structure.
`'quot'`	Quotient group. This type applies only to a subgroup of the division structure.
`'mdfr'`	Modifier group. This type applies only to a subgroup of the iteration structure.
`'lowr'`	Lower limit group. This type applies to subgroups of the iteration structure, integral structure, stack structure, and arrow structure.
`'uppr'`	Upper limit group. This type applies to subgroups of the iteration structure, integral structure, stack structure, and arrow structure.
`'labl'`	Label group. This type applies only to a subgroup of the widemark structure.

Substructures

The following structures compose the data stored inside a Gr structure.

Substructure	Min	Max	Description
Equation	0	—	Groups may contain any number of structures in the equation category.
`Bg`	1	—	The first substructure of every group must be a begin structure.
`X`	0	1	An annotation group must contain a connector structure.

`In` — Integral Structure

The In structure represents an integral.

Properties

The properties listed in the following table may be specified for an In structure.

Property	Type	Default	Description
`sm`	`bool`	`false`	The small layout flag.
`il`	`bool`	`false`	The inline limits flag.
`kg`	`bool`	`false`	The keep glyph flag.
`gr`	`bool`	`false`	The grow integral flag.

Substructures

The following structures compose the data stored inside an In structure.

Substructure	Min	Max	Description
`Gr`	1	3	An integral structure may contain the following subgroups. A group of the default type containing the integrand. This subgroup is required. A group of type `'lowr'` containing the lower limit. A group of type `'uppr'` containing the upper limit.
`uint32`	0	1	The Unicode value of the integral character. If this is omitted, then the default value of `0x222B` is used.

`It` — Iteration Structure

The It structure represents an iteration.

Properties

The properties listed in the following table may be specified for an It structure.

Property	Type	Default	Description
`sm`	`bool`	`false`	The small layout flag.
`il`	`bool`	`false`	The inline limits flag.

Substructures

The following structures compose the data stored inside an It structure.

Substructure	Min	Max	Description
`Gr`	1	4	An iteration structure may contain the following subgroups. A group of the default type containing the iterand. This subgroup is required. A group of type `'lowr'` containing the lower limit. A group of type `'uppr'` containing the upper limit. A group of type `'mdfr'` containing the modifier.
`uint32`	0	1	The Unicode value of the iteration character. If this is omitted, then the default value of `0x2211` is used.

`Jo` — Joist Structure

The Jo structure represents a joist drawing object.

Properties

The properties listed in the following table may be specified for a Jo structure.

Property	Type	Default	Description
`t`	`uint32`	`'brac'`	The joist type. This must be one of the values listed below.
`os`	`uint32`	0	The start offset type for the line. This must be one of the values listed for the Line structure.
`of`	`uint32`	0	The finish offset type for the line. This must be one of the values listed for the Line structure.

The joist type can be one of the following values.

Value	Description
`'brac'`	A brace.
`'brck'`	A square bracket.
`'shel'`	A tortoise shell bracket.

Substructures

The following structures compose the data stored inside a Jo structure.

Substructure	Min	Max	Description
`X`	1	1	Each drawing structure must contain a connector structure.

`Kt` — Strike Structure

The Kt structure represents a strike.

Properties

The properties listed in the following table may be specified for a Kt structure.

Property	Type	Default	Description
`t`	`uint32`	`'horz'`	The type of strike. This must be one of the values listed below.

The strike type can be one of the following values.

Value	Description
`'horz'`	A horizontal strike.
`'lwup'`	A diagonal strike from the lower left to the upper right.
`'uplw'`	A diagonal strike from the upper left to the lower right.
`'exxx'`	Two diagonal strikes forming an X.

Substructures

The following structures compose the data stored inside a Kt structure.

Substructure	Min	Max	Description
`Gr`	1	1	A strike structure must contain a subgroup of the default type.

`Ln` — Line Structure

The Ln structure represents a line drawing object.

Properties

The properties listed in the following table may be specified for an Ln structure.

Property	Type	Description
`es`	`uint32`	The start endpoint type for the line. This must be one of the values listed below.
`ef`	`uint32`	The finish endpoint type for the line. This must be one of the values listed below.
`os`	`uint32`	The start offset type for the line. This must be one of the values listed below.
`of`	`uint32`	The finish offset type for the line. This must be one of the values listed below.

Each endpoint type can be one of the following values.

Value	Description
0	No endpoint.
`'sdcr'`	A solid circle.
`'sdsq'`	A solid square.
`'wedg'`	A wedge.
`'arr1'`	An arrow of type 1.
`'arr2'`	An arrow of type 2.

Each offset type can be one of the following values.

Value	Description
0	No offset. The line ends exactly at the anchor.
`'long'`	A long offset. This overshoots the anchor.
`'shrt'`	A short offset. This undershoots the anchor.

Substructures

The following structures compose the data stored inside a Ln structure.

Substructure	Min	Max	Description
`X`	1	1	Each drawing structure must contain a connector structure.

`M` — Map Structure

The M structure specifies a style mapping in a design.

Properties

The properties listed in the following table may be specified for an M structure.

Property	Type	Default	Description
`t`	`uint32`	—	The style type. This must be one of the style values listed for the symbol structure.

`Mk` — Mark Structure

The Mk structure represents a mark applied to a single symbol.

Properties

The properties listed in the following table may be specified for an Mk structure.

Property	Type	Default	Description
`un`	`bool`	`false`	The under flag.

Substructures

The following structures compose the data stored inside an Mk structure.

Substructure	Min	Max	Description
`uint32`	1	1	The Unicode value of the mark character.

`Mx` — Matrix Structure

The Mx structure represents a matrix.

Properties

The properties listed in the following table may be specified for an Mx structure.

Property	Type	Default	Description
`r`	`int32`	—	The number of rows in the matrix. This must be in the range 1–32. The number of rows and number of columns cannot both be 1.
`c`	`int32`	—	The number of columns in the matrix. This must be in the range 1–32. The number of rows and number of columns cannot both be 1.
`al`	`uint32`	`'cent'`	The default entry alignment. This must be `'cent'`, `'left'`, or `'rght'`.
`mb`	`bool`	`false`	The middle baseline flag.
`eh`	`bool`	`false`	The equal row heights flag.
`ew`	`bool`	`false`	The equal column widths flag.
`rg`	`bool`	`false`	The outer row gap flag.
`cg`	`bool`	`false`	The outer column gap flag.

Substructures

The following structures compose the data stored inside an Mx structure.

Substructure	Min	Max	Description
`Gr`	2	1024	There must be one subgroup with the default type for each matrix entry. Entries are listed in column-major order.

`Ng` — Negate Structure

The Ng structure represents a negation applied to a single symbol.

Properties

The properties listed in the following table may be specified for an Ng structure.

Property	Type	Default	Description
`t`	`uint32`	`'frwd'`	The type of negation. This must be `'frwd'`, `'bkwd'`, or `'vert'`.

`P` — Palette Structure

The P structure specifies a color palette in a design.

`Ph` — Phantom Structure

The Ph structure represents a phantom.

Properties

The properties listed in the following table may be specified for a Ph structure.

Property	Type	Default	Description
`t`	`uint32`	`'vert'`	The type of phantom. This must be one of the values listed below.

The phantom type can be one of the following values.

Value	Description
`'vert'`	A phantom with vertical extent but no horizontal extent.
`'horz'`	A phantom with horizontal extent but no vertical extent.
`'full'`	A phantom with both horizontal and vertical extent.
`'hzov'`	A phantom with horizontal extent but no vertical extent. Structures that follow the phantom overlap the same horizontal space.
`'flov'`	A phantom with both horizontal and vertical extent. Structures that follow the phantom overlap the same horizontal space.

`Pr` — Prime Structure

The Pr structure represents a prime mark applied to the preceding structure.

Properties

The properties listed in the following table may be specified for a Pr structure.

Property	Type	Default	Description
`nb`	`bool`	`false`	The disable bold flag.

Substructures

The following structures compose the data stored inside an Pr structure.

Substructure	Min	Max	Description
`uint32`	0	1	The Unicode value of the prime character. If this is omitted, then the default value of `0x2032` is used.

`Rd` — Radical Structure

The Rd structure represents a radical.

Properties

The properties listed in the following table may be specified for an Rd structure.

Property	Type	Default	Description
`ns`	`bool`	`false`	The disable slant kerning flag.

Substructures

The following structures compose the data stored inside an Rd structure.

Substructure	Min	Max	Description
`Gr`	1	2	A radical structure may contain the following subgroups. A group of the default type containing the radicand. This subgroup is required. A group of type `'degr'` containing the degree.

`Rr` — Rounded Rectangle Structure

The Rr structure represents a rounded rectangle drawing object.

Properties

The properties listed in the following table may be specified for an Rr structure.

Property	Type	Default	Description
`r`	`uint8`	0	The radius index. This must be in the range 0–2.

Substructures

The following structures compose the data stored inside an Rr structure.

Substructure	Min	Max	Description
`X`	1	1	Each drawing structure must contain a connector structure.

`Rt` — Rectangle Structure

The Rt structure represents a rectangle drawing object.

Substructures

The following structures compose the data stored inside an Rr structure.

Substructure	Min	Max	Description
`X`	1	1	Each drawing structure must contain a connector structure.

`Sb` — Symbol Structure

The Sb structure represents a general symbol in a mathematical expression.

Properties

The properties listed in the following table may be specified for an Sb structure.

Property	Type	Default	Description
`ro`	`uint32`	`'math'`	The role of the symbol. This must be one of the values listed below.
`st`	`uint32`	0	The style of the symbol. If this value is 0, then the style is set to the default for the role. Otherwise, this must be one of the values listed below.
`ns`	`bool`	`false`	The disable mark slant flag.
`nb`	`bool`	`false`	The disable mark bold flag.

The role can be one of the following values.

Role Value	Description
`'math'`	A mathematical symbol such as a variable or symbol that does not fall under any other role.
`'chem'`	A chemical element.
`'text'`	General text.
`'func'`	A standard function name such as cos or log.
`'unit'`	Physical units.
`'nmbr'`	A literal number.
`'oper'`	A binary operator.
`'rltn'`	A binary relation.
`'arrw'`	An arrow.
`'unry'`	A unary operator.
`'pnct'`	Punctuation.
`'elps'`	An ellipsis.

The style can be one of the following values. The default style is 'uprt' for all roles except 'math', 'oper', and 'rltn'. The default role for the 'math' role is 'ital', and the default style for the 'oper' and 'rltn' roles is 'sym1'.

Style Value	Description
`'uprt'`	Upright.
`'ital'`	Italic.
`'bold'`	Bold.
`'bitl'`	Bold italic.
`'grek'`	Greek upright.
`'itgk'`	Greek italic.
`'bdgk'`	Greek bold.
`'bigk'`	Greek bold italic.
`'scpt'`	Script.
`'bdsc'`	Bold script.
`'frkt'`	Fraktur.
`'bdfk'`	Bold fraktur.
`'doub'`	Double-struck.
`'sans'`	Sans-serif upright.
`'itsn'`	Sans-serif italic.
`'dbsn'`	Sans-serif bold.
`'bisn'`	Sans-serif bold italic.
`'sym1'`	Symbol 1.
`'sym2'`	Symbol 2.
`'nary'`	Iteration symbol.
`'gral'`	Integral symbol.

Substructures

The following structures compose the data stored inside an Sb structure.

Substructure	Min	Max	Description
`string`	1	1	The text characters belonging to the symbol. This must not be the empty string.
`Mk`	0	—	Mark structures are substructures of the symbol to which they are applied.
`Ng`	0	—	Negate structures are substructures of the symbol to which they are applied.
`Sl`	0	—	Slash structures are substructures of the symbol to which they are applied.
`En`	0	1	Enclose structures are substructures of the symbol to which they are applied.

`Sc` — Script Structure

The Sc structure represents a subscript, superscript, or combination of both.

Properties

The properties listed in the following table may be specified for an Sc structure.

Property	Type	Default	Description
`pr`	`bool`	`false`	The preceding script flag.
`ow`	`bool`	`false`	The outward alignment flag.
`ns`	`bool`	`false`	The disable slant kerning flag.

Substructures

The following structures compose the data stored inside an Sc structure.

Substructure	Min	Max	Description
`Gr`	1	2	A script structure must contain one or both of the following subgroups. A group of type `'subs'` containing the subscript. A group of type `'sups'` containing the superscript.

`Sl` — Slash Structure

The Sl structure represents a slash applied to a single symbol.

Properties

The properties listed in the following table may be specified for an Sl structure.

Property	Type	Default	Description
`t`	`uint32`	`'frwd'`	The type of slash. This must be `'frwd'` or `'bkwd'`.

`Sp` — Space Structure

The Sp structure represents a mathematical space.

Properties

The properties listed in the following table may be specified for an Sp structure.

Property	Type	Default	Description
`s`	`float`	0.0	The space width, in math units. This must be a nonnegative value.
`t`	`bool`	`false`	The tabular space flag.

`St` — Stack Structure

The St structure represents a stack.

Properties

The properties listed in the following table may be specified for an St structure.

Property	Type	Default	Description
`sm`	`bool`	`false`	The small layout flag.

Substructures

The following structures compose the data stored inside an St structure.

Substructure	Min	Max	Description
`Gr`	1	3	A stack structure may contain the following subgroups. A group of the default type containing the main expression. This subgroup is required. A group of type `'lowr'` containing the lower limit. A group of type `'uppr'` containing the upper limit.

`V` — Value Structure

The V structure specifies a value in a design.

Properties

The properties listed in the following table may be specified for a V structure.

Property	Type	Default	Description
`d`	`uint32`	0	The domain for the value. This must be one of the values listed below.
`n`	`uint32`	—	The name of the value. This must specify a value that exists in the domain.

The domain type can be one of the following values.

Value	Description
0	Common settings.
`'symb'`	Symbol settings.
`'mark'`	Mark settings.
`'brck'`	Bracket settings.
`'scpt'`	Script settings.
`'frac'`	Fraction settings.
`'rdcl'`	Radical settings.
`'divs'`	Division settings.
`'wide'`	Widemark settings.
`'stck'`	Stack settings.
`'boxx'`	Box settings.
`'strk'`	Strike settings.
`'arrw'`	Arrow settings.
`'chrm'`	Charm settings.
`'iter'`	Iteration settings.
`'intg'`	Integral settings.
`'mtrx'`	Matrix settings.
`'line'`	Line settings.
`'jost'`	Joist settings.
`'shap'`	Shape settings.
`'anno'`	Annotation settings.

`Wm` — Widemark Structure

The Wm structure represents a wide mark.

Properties

The properties listed in the following table may be specified for a Wm structure.

Property	Type	Default	Description
`t`	`uint32`	`'line'`	The type of widemark. This must be one of the values listed below.
`un`	`bool`	`false`	The under flag.
`sm`	`bool`	`false`	The small layout flag.

The widemark type can be one of the following values.

Value	Description
`'line'`	Horizontal line.
`'dlin'`	Double horizontal line.
`'what'`	Hat.
`'chck'`	Check.
`'smil'`	Smile.
`'frwn'`	Frown.
`'tild'`	Tilde.
`'brck'`	Bracket.
`'brac'`	Brace.
`'shel'`	Tortoise shell.
`'larw'`	Arrow pointing left.
`'rarw'`	Arrow pointing right.
`'barw'`	Arrow pointing both left and right.
`'luhp'`	Upward harpoon pointing left.
`'ruhp'`	Upward harpoon pointing right.
`'buhp'`	Upward harpoon pointing both left and right.
`'ldhp'`	Downward harpoon pointing left.
`'rdhp'`	Downward harpoon pointing right.
`'bdhp'`	Downward harpoon pointing both left and right.

Substructures

The following structures compose the data stored inside a Wm structure.

Substructure	Min	Max	Description
`Gr`	1	2	A widemark structure may contain the following subgroups. A group of the default type containing the main expression. This subgroup is required. A group of type `'labl'` containing the label.

`X` — Connector Structure

The X structure connects a node to one or more anchors.

Substructures

The following structures compose the data stored inside an Ar structure.

Substructure	Min	Max	Description
`ref`	1	1	References to the nodes containing the anchors.
`uint32`	1	1	The types of the anchors.
`int32`	1	1	The indexes of the anchors.
`float`	0	1	The relative offsets for rail anchors.

The anchor type can be one of the following values.

Value	Description
0	Main anchor. This type applies to all structures in the equation category except group, aligner, and phantom.
`'cent'`	Center anchor. This type applies to all structures in the equation category except group, begin, aligner, and phantom.
`'axis'`	Math axis anchor. This type applies only to top-level group structures.
`'lmnl'`	Liminal anchor. This type applies only to top-level group structures.
`'xxx!'`	Horizontal rail anchor. This type applies only to top-level group structures.
`'yyy!'`	Vertical rail anchor. This type applies only to top-level group structures.
`'mtrx'`	Matrix anchor. This type applies only to matrix structures.
`'cell'`	Cell anchor. This type applies only to matrix structures.
`'mrow'`	Row anchor. This type applies only to matrix structures.
`'mcol'`	Column anchor. This type applies only to matrix structures.
`'orow'`	Outer row anchor. This type applies only to matrix structures.
`'ocol'`	Outer column anchor. This type applies only to matrix structures.
`'lrow'`	Liminal row anchor. This type applies only to matrix structures.
`'lcol'`	Liminal column anchor. This type applies only to matrix structures.
`'bord'`	Border anchor. This type applies only to top-level group structures.
`'line'`	Line anchor. This type applies only to line structures.
`'edge'`	Edge anchor. This type applies only to rectangle structures, rounded rectangle structures, and ellipse structures.
`'jost'`	Joist anchor. This type applies only to joist structures.
`'anno'`	Annotation anchor. This type applies to all structures in the drawing category and group structures of type `'anno'`.

`Zg` — Zigzag Structure

The Zg structure represents a zigzag drawing object.

Properties

The properties listed in the following table may be specified for a Zg structure.

Property	Type	Default	Description
`v`	`bool`	`false`	The vertical flag.

Substructures

The following structures compose the data stored inside a Zg structure.

Substructure	Min	Max	Description
`X`	1	1	Each drawing structure must contain a connector structure.

File Format Specification

General Equation Structure Properties

General Drawing Structure Properties

Al — Aligner Structure

Properties

Ar — Arrow Structure

Substructures

Bg — Begin Structure

Properties

Br — Bracket Structure

Properties

Substructures

Bx — Box Structure

Properties

Substructures

Cn — Corner Structure

Properties

Substructures

D — Design Structure

Substructures

Dv — Division Structure

Substructures

El — Ellipse Structure

Substructures

En — Enclose Structure

Properties

F — Font Structure

Properties

Fr — Fraction Structure

Properties

Substructures

Gr — Group Structure

Properties

Substructures

In — Integral Structure

Properties

Substructures

It — Iteration Structure

Properties

Substructures

Jo — Joist Structure

Properties

Substructures

Kt — Strike Structure

Properties

Substructures

Ln — Line Structure

Properties

Substructures

M — Map Structure

Properties

Mk — Mark Structure

Properties

Substructures

Mx — Matrix Structure

Properties

Substructures

Ng — Negate Structure

Properties

P — Palette Structure

Ph — Phantom Structure

Properties

Pr — Prime Structure

Properties

Substructures

Rd — Radical Structure

Properties

Substructures

Rr — Rounded Rectangle Structure

Properties

Substructures

Rt — Rectangle Structure

Substructures

Sb — Symbol Structure

Properties

Substructures

Sc — Script Structure

Properties

Substructures

Sl — Slash Structure

`Al` — Aligner Structure

`Ar` — Arrow Structure

`Bg` — Begin Structure

`Br` — Bracket Structure

`Bx` — Box Structure

`Cn` — Corner Structure

`D` — Design Structure

`Dv` — Division Structure

`El` — Ellipse Structure

`En` — Enclose Structure

`F` — Font Structure

`Fr` — Fraction Structure

`Gr` — Group Structure

`In` — Integral Structure

`It` — Iteration Structure

`Jo` — Joist Structure

`Kt` — Strike Structure

`Ln` — Line Structure

`M` — Map Structure

`Mk` — Mark Structure

`Mx` — Matrix Structure

`Ng` — Negate Structure

`P` — Palette Structure

`Ph` — Phantom Structure

`Pr` — Prime Structure

`Rd` — Radical Structure

`Rr` — Rounded Rectangle Structure

`Rt` — Rectangle Structure

`Sb` — Symbol Structure

`Sc` — Script Structure

`Sl` — Slash Structure

`Sp` — Space Structure

`St` — Stack Structure

`V` — Value Structure

`Wm` — Widemark Structure

`X` — Connector Structure

`Zg` — Zigzag Structure