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if not modules then modules = { } end modules ['x-asciimath'] = {
version = 1.001,
comment = "companion to x-asciimath.mkiv",
author = "Hans Hagen, PRAGMA-ADE, Hasselt NL",
copyright = "PRAGMA ADE / ConTeXt Development Team",
license = "see context related readme files"
}
--[[ldx--
<p>Some backgrounds are discussed in <t>x-asciimath.mkiv</t>.</p>
--ldx]]--
local trace_mapping = false if trackers then trackers.register("modules.asciimath.mapping", function(v) trace_mapping = v end) end
local asciimath = { }
local moduledata = moduledata or { }
moduledata.asciimath = asciimath
local report_asciimath = logs.reporter("mathematics","asciimath")
local format = string.format
local lpegmatch = lpeg.match
local S, P, R, C, V, Cc, Ct, Cs = lpeg.S, lpeg.P, lpeg.R, lpeg.C, lpeg.V, lpeg.Cc, lpeg.Ct, lpeg.Cs
local letter = lpeg.patterns.utf8
local space = S(" \n\r\t")
local spaces = space^0/""
local integer = P("-")^-1 * R("09")^1
local realpart = P("-")^-1 * R("09")^1 * S(".")^1 * R("09")^1
local number = integer -- so we can support nice formatting if needed
local real = realpart -- so we can support nice formatting if needed
local float = realpart * P("E") * integer -- so we can support nice formatting if needed
local texnic = P("\\") * (R("az","AZ")^1)
local premapper = Cs ( (
P("@") / "\\degrees " +
P("O/") / "\\varnothing " +
P("o+") / "\\oplus " +
P("o.") / "\\ocirc " +
P("!in") / "\\not\\in " +
P("!=") / "\\neq " +
P("**") / "\\star " +
P("*") / "\\cdot " +
P("//") / "\\slash " +
P("/_") / "\\angle " +
P("\\\\") / "\\backslash " +
P("^^^") / "\\wedge " +
P("^^") / "\\wedge " +
P("<<") / "\\left\\langle " +
P(">>") / "\\right\\rangle " +
P("<=") / "\\leq " +
P(">=") / "\\geq " +
P("-<") / "\\precc " +
P(">-") / "\\succ " +
P("~=") / "\\cong " +
P("~~") / "\\approx " +
P("=>") / "\\Rightarrow " +
P("(:") / "\\left\\langle " +
P(":)") / "\\right\\rangle " +
P(":.") / "\\therefore " +
P("~|") / "\\right\\rceil " +
P("_|_") / "\\bot " +
P("_|") / "\\right\\rfloor " +
P("+-") / "\\pm " +
P("|--") / "\\vdash " +
P("|==") / "\\models " +
P("|_") / "\\left\\lfloor " +
P("|~") / "\\left\\lceil " +
P("-:") / "\\div " +
P("_=") / "\\equiv " +
P("|") / "\\middle\\| " +
P("dx") / "(dx)" +
P("dy") / "(dy)" +
P("dz") / "(dz)" +
letter + P(1)
)^0 )
local reserved = {
["aleph"] = "\\aleph ",
["vdots"] = "\\vdots ",
["ddots"] = "\\ddots ",
["oint"] = "\\oint ",
["grad"] = "\\nabla ",
["prod"] = "\\prod ",
["prop"] = "\\propto ",
["sube"] = "\\subseteq ",
["supe"] = "\\supseteq ",
["sinh"] = "\\sinh ",
["cosh"] = "\\cosh ",
["tanh"] = "\\tanh ",
["sum"] = "\\sum ",
["vvv"] = "\\vee ",
["nnn"] = "\\cap ",
["uuu"] = "\\cup ",
["sub"] = "\\subset ",
["sup"] = "\\supset ",
["not"] = "\\lnot ",
["iff"] = "\\Leftrightarrow ",
["int"] = "\\int ",
["del"] = "\\partial ",
["and"] = "\\and ",
["not"] = "\\not ",
["sin"] = "\\sin ",
["cos"] = "\\cos ",
["tan"] = "\\tan ",
["csc"] = "\\csc ",
["sec"] = "\\sec ",
["cot"] = "\\cot ",
["log"] = "\\log ",
["det"] = "\\det ",
["lim"] = "\\lim ",
["mod"] = "\\mod ",
["gcd"] = "\\gcd ",
["lcm"] = "\\lcm ",
["min"] = "\\min ",
["max"] = "\\max ",
["xx"] = "\\times ",
["in"] = "\\in ",
["ox"] = "\\otimes ",
["vv"] = "\\vee ",
["nn"] = "\\cap ",
["uu"] = "\\cup ",
["oo"] = "\\infty ",
["ln"] = "\\ln ",
["or"] = "\\or ",
["AA"] = "\\forall ",
["EE"] = "\\exists ",
["TT"] = "\\top ",
["CC"] = "\\Bbb{C}",
["NN"] = "\\Bbb{N}",
["QQ"] = "\\Bbb{Q}",
["RR"] = "\\Bbb{R}",
["ZZ"] = "\\Bbb{Z}",
}
table.setmetatableindex(reserved,characters.entities)
local postmapper = Cs ( (
P("\\mathoptext ") * spaces * (P("\\bgroup ")/"{") * (1-P("\\egroup "))^1 * (P("\\egroup ")/"}") +
(P("\\bgroup ")) / "{" +
(P("\\egroup ")) / "}" +
P("\\") * (R("az","AZ")^2) +
(R("AZ","az")^2) / reserved +
P("{:") / "\\left." +
P(":}") / "\\right." +
P("(") / "\\left(" +
P(")") / "\\right)" +
P("[") / "\\left[" +
P("]") / "\\right]" +
P("{") / "\\left\\{" +
P("}") / "\\right\\}" +
letter + P(1)
)^0 )
local parser
local function converted(original,totex)
local ok, result
if trace_mapping then
report_asciimath("original : %s",original)
end
local premapped = lpegmatch(premapper,original)
if premapped then
if trace_mapping then
report_asciimath("prepared : %s",premapped)
end
local parsed = lpegmatch(parser,premapped)
if parsed then
if trace_mapping then
report_asciimath("parsed : %s",parsed)
end
local postmapped = lpegmatch(postmapper,parsed)
if postmapped then
if trace_mapping then
report_asciimath("finalized: %s",postmapped)
end
result, ok = postmapped, true
else
result = "error in postmapping"
end
else
result = "error in mapping"
end
else
result = "error in premapping"
end
if totex then
if ok then
context.mathematics(result)
else
context.type(result) -- some day monospaced
end
else
return result
end
end
local function onlyconverted(str)
local parsed = lpegmatch(parser,str)
return parsed or str
end
local sqrt = P("sqrt") / "\\rootradical \\bgroup \\egroup "
local root = P("root") / "\\rootradical "
local frac = P("frac") / "\\frac "
local stackrel = P("stackrel") / "\\stackrel "
local text = P("text") / "\\mathoptext "
local hat = P("hat") / "\\widehat "
local overbar = P("bar") / "\\overbar "
local underline = P("ul") / "\\underline "
local vec = P("vec") / "\\overrightarrow "
local dot = P("dot") / "\\dot "
local ddot = P("ddot") / "\\ddot "
local left = P("(:") + P("{:") + P("(") + P("[") + P("{")
local right = P(":)") + P(":}") + P(")") + P("]") + P("}")
local leftnorright = 1 - left - right
local singles = sqrt + text + hat + underline + overbar + vec + ddot + dot
local doubles = root + frac + stackrel
local ignoreleft = (left/"") * spaces * spaces
local ignoreright = spaces * (right/"") * spaces
local ignoreslash = spaces * (P("/")/"") * spaces
local comma = P(",")
local nocomma = 1-comma
local anychar = P(1)
local openmatrix = left * spaces * Cc("\\matrix\\bgroup ")
local closematrix = Cc("\\egroup ") * spaces * right
local nextcolumn = spaces * (comma/"&") * spaces
local nextrow = spaces * (comma/"\\cr ") * spaces
local finishrow = Cc("\\cr ")
local opengroup = left/"\\bgroup "
local closegroup = right/"\\egroup "
local somescript = S("^_") * spaces
local beginargument = Cc("\\bgroup ")
local endargument = Cc("\\egroup ")
parser = Cs { "main",
scripts = somescript * V("argument"),
division = Cc("\\frac") * V("argument") * spaces * ignoreslash * spaces * V("argument"),
double = doubles * spaces * V("argument") * spaces * V("argument"),
single = singles * spaces * V("argument"),
balanced = opengroup * (C((leftnorright + V("balanced"))^0)/onlyconverted) * closegroup,
argument = V("balanced") + V("token"),
element = (V("step") + (V("argument") + V("step")) - ignoreright - nextcolumn - comma)^1,
commalist = ignoreleft * V("element") * (nextcolumn * spaces * V("element"))^0 * ignoreright,
matrix = openmatrix * spaces * (V("commalist") * (nextrow * V("commalist"))^0) * finishrow * closematrix,
token = beginargument * (texnic + float + real + number + letter) * endargument,
step = V("scripts") + V("division") + V("single") + V("double"),
main = (V("matrix") + V("step") + anychar)^0,
}
asciimath.reserved = reserved
asciimath.convert = converted
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