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%D \module
%D [ file=m-mathfun,
%D version=2021.02.20,
%D title=\CONTEXT\ Extra Modules,
%D subtitle=Wried Math Stuff,
%D author=Hans Hagen,
%D date=\currentdate,
%D copyright={PRAGMA ADE \& \CONTEXT\ Development Team}]
%C
%C This module is part of the \CONTEXT\ macro||package and is
%C therefore copyrighted by \PRAGMA. See mreadme.pdf for
%C details.
%D Occasionaly some experiment results in some weird feature. It doesn't make sense
%D to make this core functionality but if also makes no sense to throw it away. By
%D making it a module the user can decide. It's actually an example of abusing a
%D \LUA\ interfacing mechanism that is meant for something else.
\ifdefined\compute \else
\permanent\protected\def\compute{\thewithproperty\plusone}
\fi
%D At some point this will move to \type {m-mathfun.lmt}:
\startluacode
local type, load = type, load
local gmatch = string.gmatch
local xmath = xmath
local xcomplex = xcomplex
local xdecimal = xdecimal
local context = context
local ctx_mfunction = context.mfunction
local scanoptional = tokens.scanners.optional
local scanargument = tokens.scanners.argument
local createtoken = tokens.create
local defined = tokens.defined
local implement = interfaces.implement
local compute_code = 1
local function smart(what,name,kind)
if what == "value" or what == compute_code then
local temp = scanoptional()
if temp and temp ~= "" then
temp = "%" .. temp
else
temp = "%.6N"
end
if kind == "constant" then
context(temp,math[name])
else
local code = scanargument()
local func = load("return "..name.."("..code..")","mathfunction","t",math)
if type(func) == "function" then
context(temp,func())
else
context(code)
end
end
elseif kind == "constant" then
-- context[name]() -- recursion
name = "normal"..name
if defined(name) then
context(createtoken(name))
else
context(name)
end
else
ctx_mfunction(name)
end
end
local template = { name = false, usage = "value", public = true, protected = true, actions = false, overload = true }
local function install(str,kind)
for name in gmatch(str,"[^ ,]+") do
template.name = name
template.actions = function(what) smart(what,name,kind) end
implement(template)
end
end
local function mathexpr()
local temp = scanoptional()
local code = scanargument()
local func = load("return " .. code,"mathexpr","t",xmath)
if type(func) == "function" then
if temp and temp ~= "" then
temp = "%" .. temp
else
temp = "%.6N"
end
context(temp,func())
else
context(code)
end
end
local tostring = xdecimal.tostring
local toengstring = xdecimal.toengstring -- todo
local function decimalexpr()
local temp = scanoptional()
local code = scanargument()
local func = load("return " .. code,"decimalexpr","t",xdecimal)
if type(func) == "function" then
local result = tostring(func())
if temp and temp ~= "" then
context("%"..temp,result)
else
context(result)
end
else
context(code)
end
end
local topair = xcomplex.topair
local function complexexpr()
local temp = scanoptional()
local code = scanargument()
local func = load("return " .. code,"complexexpr","t",xcomplex)
if type(func) == "function" then
-- local result = tostring(func())
-- if temp and temp ~= "" then
-- context("%"..temp,result)
-- else
-- context(result)
-- end
if temp and temp ~= "" then
temp = "%" .. temp
else
temp = "%.6N + %.6Ni"
end
local result = func()
context(temp,topair(result))
else
context(code)
end
end
implement {
name = "registermathfunction",
public = true,
protected = true,
actions = install,
arguments = { "optional", "optional" },
}
implement {
name = "mathexpr",
public = true,
actions = mathexpr,
}
implement {
name = "decimalexpr",
public = true,
actions = decimalexpr,
}
implement {
name = "complexexpr",
public = true,
actions = complexexpr,
}
-- install("sind cosd tand sin cos tan")
-- install("sqrt")
\stopluacode
\pushoverloadmode
\ifdefined\normalpi \else\let\normalpi\pi \fi
\registermathfunction[sind,cosd,tand,sin,cos,tan]
\registermathfunction[sqrt]
\registermathfunction[pi][constant]
\popoverloadmode
\continueifinputfile{m-mathfun.mkxl}
% \pushoverloadmode
% \let\normalpi\pi
% \registermathfunction[sind,cosd,tand,sin,cos,tan]
% \registermathfunction[sqrt]
% \registermathfunction[pi][constant]
% \popoverloadmode
\usemodule[scite] \setupbodyfont[dejavu] \setuplayout[tight] \setuppapersize[A5]
\starttext
\startbuffer
$ \sin (x) = \luaexpr {math.sin(math.pi/2)} $
$ \sin (x) = \luaexpr [.4N] {math.sin(math.pi/2)} $
$ \sin (x) = \the\sin {pi/2} $
$ \sind(x) = \luaexpr [.4N] {math.sind(120)} $
$ \sind(x) = \the\sind[.4N] {120} $
$ \sqrt(x) = \luaexpr {math.sqrt(2)} $
$ \sqrt(x) = \luaexpr [.6N] {math.sqrt(2)} $
$ \sqrt(x) = \the\sqrt {2} $
$ \sqrt(x) = \the\sqrt[.3N] {2} $
$ \sqrt(x) = \compute\sqrt[.3N] {2} $
$ \sind(x) = \luaexpr [.4N] {math.pi} $
$ \pi = \compute\pi[.4N] $
$ \pi = \mathexpr[.40N]{pi} $
$ \pi = \mathexpr[.80N]{sqrt(11)} $
$ \pi = \decimalexpr[.80N]{sqrt(11)} $
$ \pi = \decimalexpr{sqrt(11)} $
$ c = \complexexpr{123 + new(456,789)} $
\stopbuffer
Take your choice:
\typebuffer[option=TEX]
And get:
\startlines
\getbuffer
\stoplines
\stoptext
|
