mathtext

mathtext

matplotlib.mathtext

mathtext is a module for parsing a subset of the TeX math syntax and drawing them to a matplotlib backend.

For a tutorial of its usage see Writing mathematical expressions. This document is primarily concerned with implementation details.

The module uses pyparsing to parse the TeX expression.

The Bakoma distribution of the TeX Computer Modern fonts, and STIX fonts are supported. There is experimental support for using arbitrary fonts, but results may vary without proper tweaking and metrics for those fonts.

class matplotlib.mathtext.Accent(c, state)

Bases: matplotlib.mathtext.Char

The font metrics need to be dealt with differently for accents, since they are already offset correctly from the baseline in TrueType fonts.

grow()

render(x, y)

Render the character to the canvas.

shrink()

class matplotlib.mathtext.AutoHeightChar(c, height, depth, state, always=False, factor=None)

Bases: matplotlib.mathtext.Hlist

AutoHeightChar will create a character as close to the given height and depth as possible. When using a font with multiple height versions of some characters (such as the BaKoMa fonts), the correct glyph will be selected, otherwise this will always just return a scaled version of the glyph.

class matplotlib.mathtext.AutoWidthChar(c, width, state, always=False, char_class=)

Bases: matplotlib.mathtext.Hlist

AutoWidthChar will create a character as close to the given width as possible. When using a font with multiple width versions of some characters (such as the BaKoMa fonts), the correct glyph will be selected, otherwise this will always just return a scaled version of the glyph.

class matplotlib.mathtext.BakomaFonts(*args, **kwargs)

Bases: matplotlib.mathtext.TruetypeFonts

Use the Bakoma TrueType fonts for rendering.

Symbols are strewn about a number of font files, each of which has its own proprietary 8-bit encoding.

alias = '\\]'

get_sized_alternatives_for_symbol(fontname, sym)

target = ']'

class matplotlib.mathtext.Box(width, height, depth)

Bases: matplotlib.mathtext.Node

Represents any node with a physical location.

grow()

render(x1, y1, x2, y2)

shrink()

class matplotlib.mathtext.Char(c, state)

Bases: matplotlib.mathtext.Node

Represents a single character. Unlike TeX, the font information and metrics are stored with each Char to make it easier to lookup the font metrics when needed. Note that TeX boxes have a width, height, and depth, unlike Type1 and Truetype which use a full bounding box and an advance in the x-direction. The metrics must be converted to the TeX way, and the advance (if different from width) must be converted into a Kern node when the Char is added to its parent Hlist.

get_kerning(next)

Return the amount of kerning between this and the given character. Called when characters are strung together into Hlist to create Kern nodes.

grow()

is_slanted()

render(x, y)

Render the character to the canvas

shrink()

matplotlib.mathtext.Error(msg)

Helper class to raise parser errors.

class matplotlib.mathtext.Fil

Bases: matplotlib.mathtext.Glue

class matplotlib.mathtext.Fill

Bases: matplotlib.mathtext.Glue

class matplotlib.mathtext.Filll

Bases: matplotlib.mathtext.Glue

class matplotlib.mathtext.Fonts(default_font_prop, mathtext_backend)

Bases: object

An abstract base class for a system of fonts to use for mathtext.

The class must be able to take symbol keys and font file names and return the character metrics. It also delegates to a backend class to do the actual drawing.

default_font_prop: A FontProperties object to use for the default non-math font, or the base font for Unicode (generic) font rendering.

mathtext_backend: A subclass of MathTextBackend used to delegate the actual rendering.

destroy()

Fix any cyclical references before the object is about to be destroyed.

get_kern(font1, fontclass1, sym1, fontsize1, font2, fontclass2, sym2, fontsize2, dpi)

Get the kerning distance for font between sym1 and sym2.

fontX: one of the TeX font names:

tt, it, rm, cal, sf, bf or default/regular (non-math)

fontclassX: TODO

symX: a symbol in raw TeX form. e.g., ?1?, ?x? or ?sigma?

fontsizeX: the fontsize in points

dpi: the current dots-per-inch

get_metrics(font, font_class, sym, fontsize, dpi)

font: one of the TeX font names:

tt, it, rm, cal, sf, bf or default/regular (non-math)

font_class: TODO

sym: a symbol in raw TeX form. e.g., ?1?, ?x? or ?sigma?

fontsize: font size in points

dpi: current dots-per-inch

Returns an object with the following attributes:

• advance: The advance distance (in points) of the glyph.
• height: The height of the glyph in points.
• width: The width of the glyph in points.
• xmin, xmax, ymin, ymax - the ink rectangle of the glyph
• iceberg - the distance from the baseline to the top of the glyph. This corresponds to TeX?s definition of ?height?.

get_results(box)

Get the data needed by the backend to render the math expression. The return value is backend-specific.

get_sized_alternatives_for_symbol(fontname, sym)

Override if your font provides multiple sizes of the same symbol. Should return a list of symbols matching sym in various sizes. The expression renderer will select the most appropriate size for a given situation from this list.

get_underline_thickness(font, fontsize, dpi)

Get the line thickness that matches the given font. Used as a base unit for drawing lines such as in a fraction or radical.

get_used_characters()

Get the set of characters that were used in the math expression. Used by backends that need to subset fonts so they know which glyphs to include.

get_xheight(font, fontsize, dpi)

Get the xheight for the given font and fontsize.

render_glyph(ox, oy, facename, font_class, sym, fontsize, dpi)

Draw a glyph at

• ox, oy: position
• facename: One of the TeX face names
• font_class:
• sym: TeX symbol name or single character
• fontsize: fontsize in points
• dpi: The dpi to draw at.

render_rect_filled(x1, y1, x2, y2)

Draw a filled rectangle from (x1, y1) to (x2, y2).

set_canvas_size(w, h, d)

Set the size of the buffer used to render the math expression. Only really necessary for the bitmap backends.

class matplotlib.mathtext.Glue(glue_type, copy=False)

Bases: matplotlib.mathtext.Node

Most of the information in this object is stored in the underlying GlueSpec class, which is shared between multiple glue objects. (This is a memory optimization which probably doesn?t matter anymore, but it?s easier to stick to what TeX does.)

grow()

shrink()

class matplotlib.mathtext.GlueSpec(width=0.0, stretch=0.0, stretch_order=0, shrink=0.0, shrink_order=0)

Bases: object

See Glue.

copy()

classmethod factory(glue_type)

class matplotlib.mathtext.HCentered(elements)

Bases: matplotlib.mathtext.Hlist

A convenience class to create an Hlist whose contents are centered within its enclosing box.

class matplotlib.mathtext.Hbox(width)

Bases: matplotlib.mathtext.Box

A box with only width (zero height and depth).

class matplotlib.mathtext.Hlist(elements, w=0.0, m='additional', do_kern=True)

Bases: matplotlib.mathtext.List

A horizontal list of boxes.

hpack(w=0.0, m='additional')

The main duty of hpack() is to compute the dimensions of the resulting boxes, and to adjust the glue if one of those dimensions is pre-specified. The computed sizes normally enclose all of the material inside the new box; but some items may stick out if negative glue is used, if the box is overfull, or if a \vbox includes other boxes that have been shifted left.

• w: specifies a width
• m: is either ?exactly? or ?additional?.

Thus, hpack(w, 'exactly') produces a box whose width is exactly w, while hpack(w, 'additional') yields a box whose width is the natural width plus w. The default values produce a box with the natural width.

kern()

Insert Kern nodes between Char nodes to set kerning. The Char nodes themselves determine the amount of kerning they need (in get_kerning()), and this function just creates the linked list in the correct way.

class matplotlib.mathtext.Hrule(state, thickness=None)

Bases: matplotlib.mathtext.Rule

Convenience class to create a horizontal rule.

class matplotlib.mathtext.Kern(width)

Bases: matplotlib.mathtext.Node

A Kern node has a width field to specify a (normally negative) amount of spacing. This spacing correction appears in horizontal lists between letters like A and V when the font designer said that it looks better to move them closer together or further apart. A kern node can also appear in a vertical list, when its width denotes additional spacing in the vertical direction.

depth = 0

grow()

height = 0

shrink()

class matplotlib.mathtext.List(elements)

Bases: matplotlib.mathtext.Box

A list of nodes (either horizontal or vertical).

grow()

shrink()

class matplotlib.mathtext.MathTextParser(output)

Bases: object

Create a MathTextParser for the given backend output.

get_depth(texstr, dpi=120, fontsize=14)

Returns the offset of the baseline from the bottom of the image in pixels.

texstr

A valid mathtext string, e.g., r?IQ: $sigma_i=15$?

dpi

The dots-per-inch to render the text

fontsize

The font size in points

parse(s, dpi=72, prop=None)

Parse the given math expression s at the given dpi. If prop is provided, it is a FontProperties object specifying the ?default? font to use in the math expression, used for all non-math text.

The results are cached, so multiple calls to parse() with the same expression should be fast.

to_mask(texstr, dpi=120, fontsize=14)

texstr

A valid mathtext string, e.g., r?IQ: $sigma_i=15$?

dpi

The dots-per-inch to render the text

fontsize

The font size in points

Returns a tuple (array, depth)

• array is an NxM uint8 alpha ubyte mask array of rasterized tex.
• depth is the offset of the baseline from the bottom of the image in pixels.

to_png(filename, texstr, color='black', dpi=120, fontsize=14)

Writes a tex expression to a PNG file.

Returns the offset of the baseline from the bottom of the image in pixels.

filename

A writable filename or fileobject

texstr

A valid mathtext string, e.g., r?IQ: $sigma_i=15$?

color

A valid matplotlib color argument

dpi

The dots-per-inch to render the text

fontsize

The font size in points

Returns the offset of the baseline from the bottom of the image in pixels.

to_rgba(texstr, color='black', dpi=120, fontsize=14)

texstr

A valid mathtext string, e.g., r?IQ: $sigma_i=15$?

color

Any matplotlib color argument

dpi

The dots-per-inch to render the text

fontsize

The font size in points

Returns a tuple (array, depth)

• array is an NxM uint8 alpha ubyte mask array of rasterized tex.
• depth is the offset of the baseline from the bottom of the image in pixels.

exception matplotlib.mathtext.MathTextWarning

Bases: Warning

class matplotlib.mathtext.MathtextBackend

Bases: object

The base class for the mathtext backend-specific code. The purpose of MathtextBackend subclasses is to interface between mathtext and a specific matplotlib graphics backend.

Subclasses need to override the following:

• render_glyph()
• render_rect_filled()
• get_results()

And optionally, if you need to use a Freetype hinting style:

• get_hinting_type()

get_hinting_type()

Get the Freetype hinting type to use with this particular backend.

get_results(box)

Return a backend-specific tuple to return to the backend after all processing is done.

render_glyph(ox, oy, info)

Draw a glyph described by info to the reference point (ox, oy).

render_rect_filled(x1, y1, x2, y2)

Draw a filled black rectangle from (x1, y1) to (x2, y2).

set_canvas_size(w, h, d)

Dimension the drawing canvas

class matplotlib.mathtext.MathtextBackendAgg

Bases: matplotlib.mathtext.MathtextBackend

Render glyphs and rectangles to an FTImage buffer, which is later transferred to the Agg image by the Agg backend.

get_hinting_type()

get_results(box, used_characters)

render_glyph(ox, oy, info)

render_rect_filled(x1, y1, x2, y2)

set_canvas_size(w, h, d)

class matplotlib.mathtext.MathtextBackendBitmap

Bases: matplotlib.mathtext.MathtextBackendAgg

get_results(box, used_characters)

class matplotlib.mathtext.MathtextBackendCairo

Bases: matplotlib.mathtext.MathtextBackend

Store information to write a mathtext rendering to the Cairo backend.

get_results(box, used_characters)

render_glyph(ox, oy, info)

render_rect_filled(x1, y1, x2, y2)

class matplotlib.mathtext.MathtextBackendPath

Bases: matplotlib.mathtext.MathtextBackend

Store information to write a mathtext rendering to the text path machinery.

get_results(box, used_characters)

render_glyph(ox, oy, info)

render_rect_filled(x1, y1, x2, y2)

class matplotlib.mathtext.MathtextBackendPdf

Bases: matplotlib.mathtext.MathtextBackend

Store information to write a mathtext rendering to the PDF backend.

get_results(box, used_characters)

render_glyph(ox, oy, info)

render_rect_filled(x1, y1, x2, y2)

class matplotlib.mathtext.MathtextBackendPs

Bases: matplotlib.mathtext.MathtextBackend

Store information to write a mathtext rendering to the PostScript backend.

get_results(box, used_characters)

render_glyph(ox, oy, info)

render_rect_filled(x1, y1, x2, y2)

class matplotlib.mathtext.MathtextBackendSvg

Bases: matplotlib.mathtext.MathtextBackend

Store information to write a mathtext rendering to the SVG backend.

get_results(box, used_characters)

render_glyph(ox, oy, info)

render_rect_filled(x1, y1, x2, y2)

class matplotlib.mathtext.NegFil

Bases: matplotlib.mathtext.Glue

class matplotlib.mathtext.NegFill

Bases: matplotlib.mathtext.Glue

class matplotlib.mathtext.NegFilll

Bases: matplotlib.mathtext.Glue

class matplotlib.mathtext.Node

Bases: object

A node in the TeX box model

get_kerning(next)

grow()

Grows one level larger. There is no limit to how big something can get.

render(x, y)

shrink()

Shrinks one level smaller. There are only three levels of sizes, after which things will no longer get smaller.

class matplotlib.mathtext.Parser

Bases: object

This is the pyparsing-based parser for math expressions. It actually parses full strings containing math expressions, in that raw text may also appear outside of pairs of $.

The grammar is based directly on that in TeX, though it cuts a few corners.

class State(font_output, font, font_class, fontsize, dpi)

Bases: object

Stores the state of the parser.

States are pushed and popped from a stack as necessary, and the ?current? state is always at the top of the stack.

copy()

font

Parser.accent(s, loc, toks)

Parser.auto_delim(s, loc, toks)

Parser.binom(s, loc, toks)

Parser.c_over_c(s, loc, toks)

Parser.customspace(s, loc, toks)

Parser.end_group(s, loc, toks)

Parser.font(s, loc, toks)

Parser.frac(s, loc, toks)

Parser.function(s, loc, toks)

Parser.genfrac(s, loc, toks)

Parser.get_state()

Get the current State of the parser.

Parser.group(s, loc, toks)

Parser.is_dropsub(nucleus)

Parser.is_overunder(nucleus)

Parser.is_slanted(nucleus)

Parser.main(s, loc, toks)

Parser.math(s, loc, toks)

Parser.math_string(s, loc, toks)

Parser.non_math(s, loc, toks)

Parser.operatorname(s, loc, toks)

Parser.overline(s, loc, toks)

Parser.parse(s, fonts_object, fontsize, dpi)

Parse expression s using the given fonts_object for output, at the given fontsize and dpi.

Returns the parse tree of Node instances.

Parser.pop_state()

Pop a State off of the stack.

Parser.push_state()

Push a new State onto the stack which is just a copy of the current state.

Parser.required_group(s, loc, toks)

Parser.simple_group(s, loc, toks)

Parser.snowflake(s, loc, toks)

Parser.space(s, loc, toks)

Parser.sqrt(s, loc, toks)

Parser.stackrel(s, loc, toks)

Parser.start_group(s, loc, toks)

Parser.subsuper(s, loc, toks)

Parser.symbol(s, loc, toks)

Parser.unknown_symbol(s, loc, toks)

class matplotlib.mathtext.Rule(width, height, depth, state)

Bases: matplotlib.mathtext.Box

A Rule node stands for a solid black rectangle; it has width, depth, and height fields just as in an Hlist. However, if any of these dimensions is inf, the actual value will be determined by running the rule up to the boundary of the innermost enclosing box. This is called a ?running dimension.? The width is never running in an Hlist; the height and depth are never running in a Vlist.

render(x, y, w, h)

class matplotlib.mathtext.Ship

Bases: object

Once the boxes have been set up, this sends them to output. Since boxes can be inside of boxes inside of boxes, the main work of Ship is done by two mutually recursive routines, hlist_out() and vlist_out(), which traverse the Hlist nodes and Vlist nodes inside of horizontal and vertical boxes. The global variables used in TeX to store state as it processes have become member variables here.

static clamp(value)

hlist_out(box)

vlist_out(box)

class matplotlib.mathtext.SsGlue

Bases: matplotlib.mathtext.Glue

class matplotlib.mathtext.StandardPsFonts(default_font_prop)

Bases: matplotlib.mathtext.Fonts

Use the standard postscript fonts for rendering to backend_ps

Unlike the other font classes, BakomaFont and UnicodeFont, this one requires the Ps backend.

basepath = '/home/tcaswell/.virtualenvs/dd35/lib/python3.5/site-packages/matplotlib/mpl-data/fonts/afm'

fontmap = {'tt': 'pcrr8a', 'sf': 'phvr8a', 'cal': 'pzcmi8a', 'rm': 'pncr8a', None: 'psyr', 'it': 'pncri8a', 'bf': 'pncb8a'}

get_kern(font1, fontclass1, sym1, fontsize1, font2, fontclass2, sym2, fontsize2, dpi)

get_underline_thickness(font, fontsize, dpi)

get_xheight(font, fontsize, dpi)

class matplotlib.mathtext.StixFonts(*args, **kwargs)

Bases: matplotlib.mathtext.UnicodeFonts

A font handling class for the STIX fonts.

In addition to what UnicodeFonts provides, this class:

• supports ?virtual fonts? which are complete alpha numeric character sets with different font styles at special Unicode code points, such as ?Blackboard?.
• handles sized alternative characters for the STIXSizeX fonts.

cm_fallback = False

get_sized_alternatives_for_symbol(fontname, sym)

use_cmex = False

class matplotlib.mathtext.StixSansFonts(*args, **kwargs)

Bases: matplotlib.mathtext.StixFonts

A font handling class for the STIX fonts (that uses sans-serif characters by default).

class matplotlib.mathtext.SubSuperCluster

Bases: matplotlib.mathtext.Hlist

SubSuperCluster is a sort of hack to get around that fact that this code do a two-pass parse like TeX. This lets us store enough information in the hlist itself, namely the nucleus, sub- and super-script, such that if another script follows that needs to be attached, it can be reconfigured on the fly.

class matplotlib.mathtext.TruetypeFonts(default_font_prop, mathtext_backend)

Bases: matplotlib.mathtext.Fonts

A generic base class for all font setups that use Truetype fonts (through FT2Font).

class CachedFont(font)

Bases: object

TruetypeFonts.destroy()

TruetypeFonts.get_kern(font1, fontclass1, sym1, fontsize1, font2, fontclass2, sym2, fontsize2, dpi)

TruetypeFonts.get_underline_thickness(font, fontsize, dpi)

TruetypeFonts.get_xheight(font, fontsize, dpi)

class matplotlib.mathtext.UnicodeFonts(*args, **kwargs)

Bases: matplotlib.mathtext.TruetypeFonts

An abstract base class for handling Unicode fonts.

While some reasonably complete Unicode fonts (such as DejaVu) may work in some situations, the only Unicode font I?m aware of with a complete set of math symbols is STIX.

This class will ?fallback? on the Bakoma fonts when a required symbol can not be found in the font.

get_sized_alternatives_for_symbol(fontname, sym)

use_cmex = True

class matplotlib.mathtext.VCentered(elements)

Bases: matplotlib.mathtext.Hlist

A convenience class to create a Vlist whose contents are centered within its enclosing box.

class matplotlib.mathtext.Vbox(height, depth)

Bases: matplotlib.mathtext.Box

A box with only height (zero width).

class matplotlib.mathtext.Vlist(elements, h=0.0, m='additional')

Bases: matplotlib.mathtext.List

A vertical list of boxes.

vpack(h=0.0, m='additional', l=inf)

The main duty of vpack() is to compute the dimensions of the resulting boxes, and to adjust the glue if one of those dimensions is pre-specified.

• h: specifies a height
• m: is either ?exactly? or ?additional?.
• l: a maximum height

Thus, vpack(h, 'exactly') produces a box whose height is exactly h, while vpack(h, 'additional') yields a box whose height is the natural height plus h. The default values produce a box with the natural width.

class matplotlib.mathtext.Vrule(state)

Bases: matplotlib.mathtext.Rule

Convenience class to create a vertical rule.

matplotlib.mathtext.get_unicode_index(symbol) ? integer

Return the integer index (from the Unicode table) of symbol. symbol can be a single unicode character, a TeX command (i.e. r?pi?), or a Type1 symbol name (i.e. ?phi?).

matplotlib.mathtext.math_to_image(s, filename_or_obj, prop=None, dpi=None, format=None)

Given a math expression, renders it in a closely-clipped bounding box to an image file.

s

A math expression. The math portion should be enclosed in dollar signs.

filename_or_obj

A filepath or writable file-like object to write the image data to.

prop

If provided, a FontProperties() object describing the size and style of the text.

dpi

Override the output dpi, otherwise use the default associated with the output format.

format

The output format, e.g., ?svg?, ?pdf?, ?ps? or ?png?. If not provided, will be deduced from the filename.

matplotlib.mathtext.unichr_safe(index)

Return the Unicode character corresponding to the index, or the replacement character if this is a narrow build of Python and the requested character is outside the BMP.