a nearley grammar of BNF for svg path data

svg-path-data-1.1.ne

# The grammar for path data
# it's implementing the svg 1.1 spec
# https://www.w3.org/TR/SVG11/paths.html#PathDataBNF
#
# N.B. This Implementation Is Ambiguous!
# e.g. M0.6.5 -> M 0 6.5 | M 0.6 0.5
#

@{%
const it = (it) => it;
const nullish = () => null;
const arr2str = (arr) => arr.join('');
const sign2coef = (sign) => sign === '-'? -1: 1;
const inArr = ([id]) => [id];
const joinArr = ([head, _, rest]) => [head, ...(rest||[])];
const cmdWithParams = ([cmd, _, params]) => [cmd, params];
%}

#test -> digit:+ {% ([digits]) => arr2str(digits) %}
#test -> digit_sequence {% id %}
#test -> exponent {% id %}
#test -> fractional_constant {% id %}
#test -> floating_point_constant {% id %}
#test -> integer_constant {% id %}
#test -> flag {% id %}
#test -> number {% id %}
#test -> nonnegative_number {% id %}
#test -> coordinate_pair {% id %}
#test -> moveto_argument_sequence {% id %}
#test -> moveto {% id %}
#test -> closepath {% id %}
#test -> drawto_commands {% id %}
#test -> moveto_drawto_command_group {% id %}
#test -> moveto_drawto_command_groups {% id %}

svg_path ->
    wsp:* moveto_drawto_command_groups:? wsp:* {% ([_, cgs, __]) => (cgs || []).flatMap(it)  %}

moveto_drawto_command_groups ->
    moveto_drawto_command_group {% inArr %}
    | moveto_drawto_command_group wsp:* moveto_drawto_command_groups {% joinArr %}

moveto_drawto_command_group ->
    moveto wsp:* drawto_commands:? {% ([head, _, rest]) => [head, ...(rest||[]).flatMap(it)] %}

drawto_commands ->
    drawto_command {% inArr %}
    | drawto_command wsp:* drawto_commands {% joinArr %}

drawto_command ->
    closepath
    | lineto
    | horizontal_lineto
    | vertical_lineto
    | curveto
    | smooth_curveto
    | quadratic_bezier_curveto
    | smooth_quadratic_bezier_curveto
    | elliptical_arc

moveto ->
    [Mm] wsp:* moveto_argument_sequence {% cmdWithParams %}

moveto_argument_sequence ->
    coordinate_pair {% inArr %}
    | coordinate_pair comma_wsp:? lineto_argument_sequence {% joinArr %}

closepath ->
    [Zz] {% it %}

lineto ->
    [Ll] wsp:* lineto_argument_sequence {% cmdWithParams %}

lineto_argument_sequence ->
    coordinate_pair {% inArr %}
    | coordinate_pair comma_wsp:? lineto_argument_sequence {% joinArr %}

horizontal_lineto ->
    [Hh] wsp:* horizontal_lineto_argument_sequence {% cmdWithParams %}

horizontal_lineto_argument_sequence ->
    coordinate {% inArr %}
    | coordinate comma_wsp:? horizontal_lineto_argument_sequence {% joinArr %}

vertical_lineto ->
    [Vv] wsp:* vertical_lineto_argument_sequence {% cmdWithParams %}

vertical_lineto_argument_sequence ->
    coordinate {% inArr %}
    | coordinate comma_wsp:? vertical_lineto_argument_sequence {% joinArr %}

curveto ->
    [Cc] wsp:* curveto_argument_sequence {% cmdWithParams %}

curveto_argument_sequence ->
    curveto_argument {% inArr %}
    | curveto_argument comma_wsp:? curveto_argument_sequence {% joinArr %}

curveto_argument ->
    coordinate_pair comma_wsp:? coordinate_pair comma_wsp:? coordinate_pair {% ([cp0, _, cp1, __, cp2]) => [cp0, cp1, cp2] %}

smooth_curveto ->
    [Ss] wsp:* smooth_curveto_argument_sequence {% cmdWithParams %}

smooth_curveto_argument_sequence ->
    smooth_curveto_argument {% inArr %}
    | smooth_curveto_argument comma_wsp:? smooth_curveto_argument_sequence {% joinArr %}

smooth_curveto_argument ->
    coordinate_pair comma_wsp:? coordinate_pair {% ([cp0, _, cp1]) => [cp0, cp1] %}

quadratic_bezier_curveto ->
    [Qq] wsp:* quadratic_bezier_curveto_argument_sequence {% cmdWithParams %}

quadratic_bezier_curveto_argument_sequence ->
    quadratic_bezier_curveto_argument {% inArr %}
    | quadratic_bezier_curveto_argument comma_wsp:? quadratic_bezier_curveto_argument_sequence {% joinArr %}

quadratic_bezier_curveto_argument ->
    coordinate_pair comma_wsp:? coordinate_pair {% ([cp0, _, cp1]) => [cp0, cp1] %}

smooth_quadratic_bezier_curveto ->
    [Tt] wsp:* smooth_quadratic_bezier_curveto_argument_sequence

smooth_quadratic_bezier_curveto_argument_sequence ->
    coordinate_pair {% inArr %}
    | coordinate_pair comma_wsp:? smooth_quadratic_bezier_curveto_argument_sequence {% joinArr %}

elliptical_arc ->
    [Aa] wsp:* elliptical_arc_argument_sequence {% cmdWithParams %}

elliptical_arc_argument_sequence ->
    elliptical_arc_argument {% inArr %}
    | elliptical_arc_argument comma_wsp:? elliptical_arc_argument_sequence {% joinArr %}

elliptical_arc_argument ->
    nonnegative_number comma_wsp:? nonnegative_number comma_wsp:? number comma_wsp flag comma_wsp:? flag comma_wsp:? coordinate_pair
    {% ([rx, _, ry, __, rotate, ___, largeArc, ____, sweep, _____, [x, y]]) => [rx, ry, rotate, sweep, largeArc, x, y] %}

coordinate_pair ->
    coordinate comma_wsp:? coordinate {% ([x, _, y]) => [x, y] %}

coordinate ->
    number {% id %}

nonnegative_number ->
    integer_constant {% ([int]) => parseInt(int) %}
    | floating_point_constant {% ([float]) => parseFloat(float) %}

number ->
    sign:? integer_constant {% ([sign, int]) => sign2coef(sign) * parseInt(int) %}
    | sign:? floating_point_constant {% ([sign, float]) => sign2coef(sign) * parseFloat(float) %}

flag ->
    [01] {% ([f]) => parseInt(f) %}

comma_wsp ->
    (wsp:+ comma:? wsp:*) {% nullish %}
    | (comma wsp:*) {% nullish %}

comma ->
    "," {% nullish %}

integer_constant ->
    digit_sequence {% ([ds]) => arr2str(ds) %}

floating_point_constant ->
    fractional_constant exponent:? {% ([frac, exp]) => `${frac}${exp||''}` %}
    | digit_sequence exponent {% ([ds, exp]) => `${arr2str(ds)}${exp}` %}

fractional_constant ->
    digit_sequence:? "." digit_sequence {% ([ds0, _, ds1]) => `${ds0?arr2str(ds0):''}.${arr2str(ds1)}` %}
    | digit_sequence "." {% ([ds, _]) => arr2str(ds) %}

exponent ->
    ( "e" | "E" ) sign:? digit_sequence {% ([e, sign, ds]) => `e${sign||''}${arr2str(ds)}` %}

sign ->
    [+-] {% id %}

digit_sequence ->
    digit {% ([digit]) => [digit] %}
    | digit digit_sequence {% ([d, ds]) => [d, ...ds] %}

digit ->
    [0-9] {% id %}

wsp -> [ \t\n\v\f] {% nullish %}

https://www.w3.org/TR/SVG/paths.html#PathDataBNF