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-rw-r--r--tex/context/base/mkxl/math-ali.lmt327
1 files changed, 259 insertions, 68 deletions
diff --git a/tex/context/base/mkxl/math-ali.lmt b/tex/context/base/mkxl/math-ali.lmt
index 718975a50..87ea67c72 100644
--- a/tex/context/base/mkxl/math-ali.lmt
+++ b/tex/context/base/mkxl/math-ali.lmt
@@ -8,94 +8,285 @@ if not modules then modules = { } end modules ['math-ali'] = {
local unpack = unpack
local gsub = string.gsub
-local lpegmatch = lpeg.match
+local sort, keys = table.sort, table.keys
local settings_to_array = utilities.parsers.settings_to_array
-
-local rows = utilities.parsers.groupedsplitat(";")
-local cols = utilities.parsers.groupedsplitat(",")
+local P, R, S, C, Cc, Ct, Cs = lpeg.P, lpeg.R, lpeg.S, lpeg.C, lpeg.Cc, lpeg.Ct, lpeg.Cs
+local lpegmatch = lpeg.match
local context = context
-local actions = {
- transpose = function(m)
- local t = { }
- for j=1,#m[1] do
- local r = { }
- for i=1,#m do
- r[i] = m[i][j]
- end
- t[j] = r
- end
- return t
- end,
- negate = function(m)
- for i=1,#m do
- local mi = m[i]
- for j=1,#mi do
- mi[j] = - mi[j]
+do
+
+ local rows = utilities.parsers.groupedsplitat(";")
+ local cols = utilities.parsers.groupedsplitat(",")
+
+ local actions = {
+ transpose = function(m)
+ local t = { }
+ for j=1,#m[1] do
+ local r = { }
+ for i=1,#m do
+ r[i] = m[i][j]
+ end
+ t[j] = r
end
- end
- return m
- end,
- scale = function(m,s)
- s = tonumber(s)
- if s then
+ return t
+ end,
+ negate = function(m)
for i=1,#m do
local mi = m[i]
for j=1,#mi do
- mi[j] = s*mi[j]
+ mi[j] = - mi[j]
end
end
- end
- return m
- end,
-}
+ return m
+ end,
+ scale = function(m,s)
+ s = tonumber(s)
+ if s then
+ for i=1,#m do
+ local mi = m[i]
+ for j=1,#mi do
+ mi[j] = s*mi[j]
+ end
+ end
+ end
+ return m
+ end,
+ }
-local useractions = {
-}
+ local useractions = {
+ }
-interfaces.implement {
- name = "simplematrix",
- arguments = "2 strings",
- actions = function(method,data)
- local m = lpegmatch(rows,(gsub(data,"%s+"," ")))
- for i=1,#m do
- m[i] = lpegmatch(cols,m[i])
- end
- local methods = settings_to_array(method)
- for i=1,#methods do
- local detail = settings_to_array(methods[i])
- local method = detail[1]
- local action = actions[method] or useractions[method]
- if action then
- m = action(m,unpack(detail,2)) or m
+ interfaces.implement {
+ name = "simplematrix",
+ arguments = "2 strings",
+ actions = function(method,data)
+ local m = lpegmatch(rows,(gsub(data,"%s+"," ")))
+ for i=1,#m do
+ m[i] = lpegmatch(cols,m[i])
+ end
+ local methods = settings_to_array(method)
+ for i=1,#methods do
+ local detail = settings_to_array(methods[i])
+ local method = detail[1]
+ local action = actions[method] or useractions[method]
+ if action then
+ m = action(m,unpack(detail,2)) or m
+ end
+ end
+ for i=1,#m do
+ context("\\NC %{ \\NC }t \\NR",m[i])
end
end
- for i=1,#m do
- context("\\NC %{ \\NC }t \\NR",m[i])
+ }
+
+ function mathematics.registersimplematrix(name,action)
+ if type(action) == "function" then
+ useractions[name] = action
end
end
-}
-function mathematics.registersimplematrix(name,action)
- if type(action) == "function" then
- useractions[name] = action
- end
+ -- \cases{1, x>0 ; -1, x<0 }
+
+ interfaces.implement {
+ name = "simplecases",
+ arguments = "2 strings",
+ actions = function(method,data)
+ -- no methods yet
+ local m = lpegmatch(rows,(gsub(data,"%s+"," ")))
+ for i=1,#m do
+ m[i] = lpegmatch(cols,m[i])
+ end
+ for i=1,#m do
+ context("\\NC %{ \\NC }t \\NR",m[i])
+ end
+ end
+ }
+
end
--- \cases{1, x>0 ; -1, x<0 }
+do
+
+ local relations = {
+ ["<"] = "<", [">"] = ">",
+ ["!<"] = "≮", ["!>"] = "≯",
+ ["<<"] = "≪", [">>"] = "≫",
+ ["="] = "=", ["=="] = "=",
+ ["<>"] = "≠", ["!="] = "≠",
+ ["<="] = "≤", [">="] = "≥",
+ ["=<"] = "≦", ["=>"] = "≧",
+ ["!=<"] = "≰", ["!=>"] = "≱",
+ ["~"] = "≈", ["~~"] = "≈",
+ }
+
+ for k, v in next, table.copy(relations) do relations[v] = v end
+
+ -- local binaries = {
+ -- ["+"] = "+",
+ -- ["-"] = "-",
+ -- ["/"] = "/",
+ -- ["*"] = "",
+ -- }
+
+ local separators = {
+ [","] = true,
+ [";"] = true,
+ }
+
+ local alternatives = {
+ -- not that many
+ }
+
+ local p_sign = S("-+")
+ local p_script = S("^")^1
+ local p_number = R("09","..")^1 + lpeg.patterns.nestedbraces
+ local p_alpha = R("az","AZ")^1
+ local p_variable = p_alpha * (P("_") * (p_number + p_alpha))^-1
+
+ local spacing = P(" ")^0
+ local script = Cs(p_script * Cc("{") * p_sign^0 * (p_number + p_variable) * Cc("}"))
+ local sign = C(p_sign) + Cc("+")
+ local number = C(p_number)
+ local variable = C(p_variable)
+ -- local binary = lpeg.utfchartabletopattern(binaries) / binaries
+ local relation = lpeg.utfchartabletopattern(relations) / relations
+ local separator = lpeg.utfchartabletopattern(separators)
+
+ local snippet = Ct (
+ (
+ spacing * sign * spacing * number * spacing * variable
+ + spacing * sign * spacing * number * spacing * Cc(false)
+ + spacing * sign * spacing * Cc(false) * spacing * variable
+ ) * (script + Cc(false))
+ )
+
+ local parser = Ct ( Ct (
+ ( Ct ( snippet^1 ) * spacing * relation )^1
+ * ( Ct ( snippet^1 ) * spacing * separator^0 )
+ )^1 )
+
+ local num = "!"
+
+ local ctx_NC, ctx_NR = context.NC, context.NR
+ local ctx_typ = context.typ
+ local ctx_ord, ctx_rel = context.mathord, context.mathrel
+
+ local clean = table.setmetatableindex(function(t,k)
+ local v = gsub(k,"[{}]","")
+ t[k] = v
+ return v
+ end)
-interfaces.implement {
- name = "simplecases",
- arguments = "2 strings",
- actions = function(method,data)
- -- no methods yet
- local m = lpegmatch(rows,(gsub(data,"%s+"," ")))
- for i=1,#m do
- m[i] = lpegmatch(cols,m[i])
+ alternatives.equationsystem = function(action,str)
+ local rows = lpegmatch(parser,str)
+ if not rows then
+ ctx_typ("bad system, case 1: %s",1,str)
+ return
end
- for i=1,#m do
- context("\\NC %{ \\NC }t \\NR",m[i])
+ local nrow = #rows
+ local all = table.setmetatableindex("table")
+ for r=1,nrow do
+ local row = rows[r]
+ for s=1,#row,2 do
+ local set = row[s]
+ for v=1,#set do
+ local vvv = set[v]
+ local var = vvv[3]
+ if not var then
+ var = num
+ end
+ if set[var] then
+ print("bad system, two constants")
+ end
+ set[var] = set[v]
+ all[s][var] = true
+ set[v] = nil
+ end
+ end
+ end
+ --
+ local cnt = #rows[1]
+ for r=1,nrow do
+ if #rows[r] ~= cnt then
+ ctx_typ("bad system, case %i: %s",2,str)
+ return
+ end
+ end
+ for r=1,#rows[1] do
+ local a = keys(all[r])
+ sort(a,function(a,b)
+ return clean[a] < clean[b]
+ end)
+ all[r] = a
+ end
+ --
+ for r=1,nrow do
+ local row = rows[r]
+ for r=1,#row do
+ local set = row[r]
+ local how = all[r]
+ if #how > 0 then
+ -- local done = false
+ for i=1,#how do
+ local k = how[i]
+ local e = set[k]
+ if e then
+ ctx_NC()
+ -- if not done and e[1] == "+" then
+ if i == 1 and e[1] == "+" then
+ -- ctx_ord("")
+ -- ctx_hphantom(e[1])
+ -- ctx_ord("")
+ else
+ ctx_ord("")
+ context(e[1])
+ ctx_ord("")
+ -- done = true
+ end
+ ctx_NC()
+ if e[2] then
+ context(e[2])
+ -- done = true
+ end
+ if e[3] then
+ context(e[3])
+ -- done = true
+ end
+ if e[4] then
+ context(e[4])
+ -- done = true
+ end
+ else
+ ctx_NC()
+ -- ctx_mathord("")
+ ctx_NC()
+ end
+ end
+ else
+ ctx_NC()
+ ctx_ord("")
+ context(set)
+ ctx_ord("")
+ end
+ end
+ ctx_NR()
end
end
-}
+
+ interfaces.implement {
+ name = "simplealign",
+ -- public = true,
+ protected = true,
+ arguments = "3 strings",
+ actions = function(alternative,action,str)
+ local a = alternatives[alternative]
+ if a then
+ a(action,str)
+ else
+ context(str)
+ end
+ end
+ }
+
+end
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