|
Warning: this is an htmlized version!
The original is here, and the conversion rules are here. |
-- This file:
-- http://angg.twu.net/dednat5/newrect.lua
-- http://angg.twu.net/dednat5/newrect.lua.html
-- (find-angg "dednat5/newrect.lua")
--
-- (find-lua51manualw3m "")
-- (find-books "__comp/__comp.el" "ierusalimschy")
-- (find-pil2page 8 "Contents")
-- (find-pil2text 8 "Contents")
-- «.V» (to "V")
-- «.V-tests» (to "V-tests")
-- «.BoundingBox» (to "BoundingBox")
-- «.BoundingBox-tests» (to "BoundingBox-tests")
-- «.AsciiPicture» (to "AsciiPicture")
-- «.AsciiPicture-tests» (to "AsciiPicture-tests")
-- «.copyopts» (to "copyopts")
-- «.copyopts-tests» (to "copyopts-tests")
-- «.makepicture» (to "makepicture")
-- «.LPicture» (to "LPicture")
-- «.LPicture-tests» (to "LPicture-tests")
-- «.ZHA» (to "ZHA")
-- «.ZHA-tests» (to "ZHA-tests")
-- «.ZHA-tests-walls» (to "ZHA-tests-walls")
-- «.ZHA-test-connectives» (to "ZHA-test-connectives")
-- «.ZHA-test-generators» (to "ZHA-test-generators")
-- «.shortoperators» (to "shortoperators")
-- «.shortoperators-tests» (to "shortoperators-tests")
-- «.Cuts» (to "Cuts")
-- «.Cuts-tests» (to "Cuts-tests")
-- «.MixedPicture» (to "MixedPicture")
-- «.MixedPicture-tests» (to "MixedPicture-tests")
-- «.MixedPicture-arch-tests» (to "MixedPicture-arch-tests")
-- «.MixedPicture-zset-tests» (to "MixedPicture-zset-tests")
-- «.MixedPicture-J-tests» (to "MixedPicture-J-tests")
-- «.asciirectpoints» (to "asciirectpoints")
-- «.asciirectpoints-tests» (to "asciirectpoints-tests")
minmax = function (a, b, c) return Min(a, b), Max(b, c) end
checkrange = function(a, b, c, err)
if a <= b and b <= c then return true end
if err then error(format("%s", err, a, b, c)) end
end
isint = function (n) return math.floor(n) == n end
-- «V» (to ".V")
V = Class {
type = "V",
__tostring = function (v) return "("..v[1]..","..v[2]..")" end,
__add = function (v, w) return V{v[1]+w[1], v[2]+w[2]} end,
__sub = function (v, w) return V{v[1]-w[1], v[2]-w[2]} end,
__unm = function (v) return v*-1 end,
__mul = function (v, w)
local ktimesv = function (k, v) return V{k*v[1], k*v[2]} end
local innerprod = function (v, w) return v[1]*w[1] + v[2]*w[2] end
if type(v) == "number" and type(w) == "table" then return ktimesv(v, w)
elseif type(v) == "table" and type(w) == "number" then return ktimesv(w, v)
elseif type(v) == "table" and type(w) == "table" then return innerprod(v, w)
else error("Can't multiply "..tostring(v).."*"..tostring(w))
end
end,
--
-- isdd = function (s)
-- return type(s) == "string" and s:match"^%d%d$"
-- end,
-- ispxcyp = function (s)
-- return type(s) == "string" and s:match"^%((.-),(.-)%)$"
-- end,
-- fromdd = function (s) return V{s:sub(1,1)+0, s:sub(2,2)+0} end,
-- frompxcyp = function (s)
-- local x, y = a:match("^%((.-),(.-)%)$")
-- return V{x+0, y+0}
-- end,
--
fromab = function (a, b)
if type(a) == "table" then return a
elseif type(a) == "number" then return V{a,b}
elseif type(a) == "string" then
local l, r = a:match("^(%d)(%d)$")
if l then return V{l+0, r+0}:lrtoxy() end
local x, y = a:match("^%((.-),(.-)%)$")
if x then return V{x+0, y+0} end
error("V() got bad string: "..a)
end
end,
__call = function () print "hi"
end,
__index = {
xytolr = function (v)
local x, y = v[1], v[2]
local l = (y - x) / 2
local r = (y + x) / 2
return V{l, r}
end,
lrtoxy = function (v)
local l, r = v[1], v[2]
local x = r - l
local y = r + l
return V{x, y}
end,
todd = function (v) return v[1]..v[2] end,
to12 = function (v) return v[1], v[2] end,
to_x_y = function (v) return v:to12() end,
to_l_r = function (v) return v:xytolr():to12() end,
xy = function (v) return "("..v[1]..","..v[2]..")" end,
lr = function (v) local l, r = v:to_l_r(); return l..r end,
torowcol = function (v, nlines, w, rectw)
local x, y = v[1], v[2]
if checkrange(0, y, nlines-1) and
checkrange(0, x, rectw/w - 1)
then return nlines-y, x*w+1
end
end,
naiveprod = function (v, w)
return V{v[1]*w[1], v[2]*w[2]}
end,
naivemin = function (v, w)
return V{min(v[1], w[1]), min(v[2], w[2])}
end,
naivemax = function (v, w)
return V{max(v[1], w[1]), max(v[2], w[2])}
end,
s = function (v) return v+V{ 0, -1} end,
n = function (v) return v+V{ 0, 1} end,
w = function (v) return v+V{-1, 0} end,
e = function (v) return v+V{ 1, 0} end,
se = function (v) return v+V{ 1, -1} end,
sw = function (v) return v+V{-1, -1} end,
ne = function (v) return v+V{ 1, 1} end,
nw = function (v) return v+V{-1, 1} end,
--
-- to_l_r_l_r = function (P, Q)
-- local Pl,Pr = P:to_l_r()
-- local Ql,Qr = Q:to_l_r()
-- return Pl, Pr, Ql, Qr
-- end,
--
And = function (P, Q)
-- local Pl, Pr, Ql, Qr = P:to_l_r_l_r(Q)
local Pl, Pr = P:to_l_r()
local Ql, Qr = Q:to_l_r()
return V{min(Pl, Ql), min(Pr, Qr)}:lrtoxy()
end,
Or = function (P, Q)
-- local Pl, Pr, Ql, Qr = P:to_l_r_l_r(Q)
local Pl, Pr = P:to_l_r()
local Ql, Qr = Q:to_l_r()
return V{max(Pl, Ql), max(Pr, Qr)}:lrtoxy()
end,
--
above = function (P, Q)
local Pl, Pr = P:to_l_r()
local Ql, Qr = Q:to_l_r()
return Pl >= Ql and Pr >= Qr
end,
below = function (P, Q)
local Pl, Pr = P:to_l_r()
local Ql, Qr = Q:to_l_r()
return Pl <= Ql and Pr <= Qr
end,
leftof = function (P, Q)
local Pl, Pr = P:to_l_r()
local Ql, Qr = Q:to_l_r()
return Pl >= Ql and Pr <= Qr
end,
rightof = function (P, Q)
local Pl, Pr = P:to_l_r()
local Ql, Qr = Q:to_l_r()
return Pl <= Ql and Pr >= Qr
end,
},
}
v = V.fromab
lr = function (l, r) return V{l, r}:lrtoxy() end
-- lr = function (l, r)
-- if V.isdd(l) then return V.fromdd(l):lrtoxy() end
-- return V{l, r}:lrtoxy()
-- end
-- «V-tests» (to ".V-tests")
--[[
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
= V{3,4} --> (3,4)
= V{3,4} - V{2,1} --> (1,3)
= V{3,4} + V{2,1} --> (5,5)
= V{3,4} * V{2,1} --> 10
= V{3,4} * -10 --> (-30,-40)
= -10 * V{3,4} --> (-30,-40)
= V{-3,3}:xytolr() --> (3,0)
= V{3,3}:xytolr() --> (0,3)
= V{2,4}:xytolr() --> (1,3)
= V{0,0}:torowcol(4, 2, 6) --> 4 1
= V{1,0}:torowcol(4, 2, 6) --> 4 3
= V{2,0}:torowcol(4, 2, 6) --> 4 5
= V{3,0}:torowcol(4, 2, 6) --> (nothing)
= V{0,1}:torowcol(4, 2, 6) --> 3 1
= V{0,2}:torowcol(4, 2, 6) --> 3 5
= V{0,3}:torowcol(4, 2, 6) --> 3 5
= V{0,4}:torowcol(4, 2, 6) --> (nothing)
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
= v{2, 3}
= v(2, 3)
= v(2, 3):to12()
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
= lr"00"
= lr"10"
= lr"03"
= lr"03":s()
--]]
-- ____ _ _ ____
-- | __ ) ___ _ _ _ __ __| (_)_ __ __ _| __ ) _____ __
-- | _ \ / _ \| | | | '_ \ / _` | | '_ \ / _` | _ \ / _ \ \/ /
-- | |_) | (_) | |_| | | | | (_| | | | | | (_| | |_) | (_) > <
-- |____/ \___/ \__,_|_| |_|\__,_|_|_| |_|\__, |____/ \___/_/\_\
-- |___/
-- «BoundingBox» (to ".BoundingBox")
BoundingBox = Class {
type = "BoundingBox",
new = function () return BoundingBox {} end,
__tostring = function (b)
return bb.x0y0 and tostring(bb.x0y0).." to "..tostring(bb.x1y1) or "empty"
end,
__index = {
addpoint = function (bb, v)
if bb.x0y0 then bb.x0y0 = bb.x0y0:naivemin(v) else bb.x0y0 = v end
if bb.x1y1 then bb.x1y1 = bb.x1y1:naivemax(v) else bb.x1y1 = v end
return bb
end,
addbox = function (bb, v, delta0, delta1)
bb:addpoint(v+delta0)
return bb:addpoint(v+(delta1 or -delta0))
end,
x0y0x1y1 = function (bb)
local x0, y0 = bb.x0y0:to_x_y()
local x1, y1 = bb.x1y1:to_x_y()
return x0, y0, x1, y1
end,
x0x1y0y1 = function (bb)
local x0, y0 = bb.x0y0:to_x_y()
local x1, y1 = bb.x1y1:to_x_y()
return x0, x1, y0, y1
end,
--
merge = function (bb1, bb2)
if bb2.x0y0 then bb1:addpoint(bb2.x0y0) end
if bb2.x1y1 then bb1:addpoint(bb2.x1y1) end
return bb1
end,
},
}
-- «BoundingBox-tests» (to ".BoundingBox-tests")
--[[
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
bb = BoundingBox.new()
= bb
= bb:addpoint(v(2, 4))
= bb:addbox(v(6, 7), v(.5, .5))
= bb:addbox(v(1, 2), v(.5, .5))
= bb:x0x1y0y1()
--]]
-- _ _ _ ____ _ _
-- / \ ___ ___(_|_) _ \(_) ___| |_ _ _ _ __ ___
-- / _ \ / __|/ __| | | |_) | |/ __| __| | | | '__/ _ \
-- / ___ \\__ \ (__| | | __/| | (__| |_| |_| | | | __/
-- /_/ \_\___/\___|_|_|_| |_|\___|\__|\__,_|_| \___|
--
-- «AsciiPicture» (to ".AsciiPicture")
-- This is a minimalistic, and V-based, reimplementation of the
-- ascii side of the "Picture" class from:
-- (find-dn5 "picture.lua" "Picture")
pad = function (spaces, str)
return ((str or "")..spaces):sub(1, #spaces)
end
AsciiPicture = Class {
type = "AsciiPicture",
new = function (s)
return AsciiPicture {s=s or " ", bb=BoundingBox.new()}
end,
__tostring = function (ap) return ap:tostring() end,
__index = {
get = function (ap, v) return pad(ap.s, ap:get0(v)) end,
get0 = function (ap, v)
local x, y = v:to_x_y()
return ap[y] and ap[y][x]
end,
put = function (ap, v, str)
local x, y = v:to_x_y()
ap[y] = ap[y] or {}
ap[y][x] = str
ap.bb:addpoint(v)
return ap
end,
--
tolines = function (ap)
local x0, x1, y0, y1 = ap.bb:x0x1y0y1()
local lines = {}
for y=y1,y0,-1 do
local line = ""
for x=x0,x1 do line = line..ap:get(v(x, y)) end
table.insert(lines, line)
end
return lines
end,
tostring = function (ap) return table.concat(ap:tolines(), "\n") end,
},
}
-- «AsciiPicture-tests» (to ".AsciiPicture-tests")
--[[
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
ap = AsciiPicture.new(" ")
ap = AsciiPicture.new(" ")
for l=0,2 do
for r=0,3 do
local pos=lr(l, r)
ap:put(pos, "..")
ap:put(pos, pos:lr())
ap:put(pos, pos:xy())
end
end
= ap
--]]
-- _
-- ___ ___ _ __ _ _ ___ _ __ | |_ ___
-- / __/ _ \| '_ \| | | |/ _ \| '_ \| __/ __|
-- | (_| (_) | |_) | |_| | (_) | |_) | |_\__ \
-- \___\___/| .__/ \__, |\___/| .__/ \__|___/
-- |_| |___/ |_|
--
-- «copyopts» (to ".copyopts")
copyopts = function (A, B)
if type(A) == "string" then
if A:match(" ")
then for _,a in ipairs(split(A)) do copyopts(a, B) end; return B
else return copyopts(metaopts[A] or error("No metaopt[\""..A.."\"]"), B)
end
end
for k,v in pairs(A) do
if k == "meta" then copyopts(v, B) else B[k] = v end
end
return B
end
metaopts = {}
metaopts["b"] = {bhbox = 1}
metaopts["p"] = {paren = 1}
metaopts["()"] = {paren = 1}
metaopts["s"] = {cellfont="\\scriptsize", celllower="2pt"}
metaopts["ss"] = {cellfont="\\scriptscriptsize", celllower="1.5pt"} -- ?
metaopts["t"] = {cellfont="\\tiny", celllower="1.5pt"} -- ?
metaopts["t"] = {cellfont="\\tiny", celllower="1.25pt"} -- ?
metaopts["10pt"] = {scale="10pt"}
metaopts["8pt"] = {scale="8pt", meta="s"}
-- «copyopts-tests» (to ".copyopts-tests")
--[[
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
PP(copyopts("8pt", {}))
PP(copyopts({hello=1, meta="8pt"}, {}))
--]]
-- _ _ _
-- _ __ ___ __ _| | _____ _ __ (_) ___| |_ _ _ _ __ ___
-- | '_ ` _ \ / _` | |/ / _ \ '_ \| |/ __| __| | | | '__/ _ \
-- | | | | | | (_| | < __/ |_) | | (__| |_| |_| | | | __/
-- |_| |_| |_|\__,_|_|\_\___| .__/|_|\___|\__|\__,_|_| \___|
-- |_|
-- «makepicture» (to ".makepicture")
-- (find-LATEX "edrx15.sty" "picture-cells")
--
makepicture = function (options, bb, body)
local x0, y0, x1, y1 = bb:x0y0x1y1()
local a = {}
a.xdimen = x1 - x0
a.ydimen = y1 - y0
-- a.xoffset = (x0 + x1)/2
-- a.yoffset = (y0 + y1)/2
a.xoffset = x0
a.yoffset = y0
a.setscale = "\\unitlength="..(options.scale or "10pt").."%\n"
a.setlower = "\\celllower="..(options.celllower or "2.5pt").."%\n"
a.setfont = "\\def\\cellfont{"..(options.cellfont or "").."}%\n"
a.body = body
local fmt = "!setscale!setlower!setfont"..
"\\begin{picture}(!xdimen,!ydimen)(!xoffset,!yoffset)\n"..
"!body"..
"\\end{picture}"
local latex = (fmt:gsub("!([a-z]+)", a))
latex = "\\vcenter{\\hbox{"..latex.."}}"
if options.bhbox then latex = "\\bhbox{$"..latex.."$}" end
if options.paren then latex = "\\left("..latex.."\\right)" end
if options.def then latex = "\\def\\"..options.def.."{"..latex.."}" end
return latex
end
-- _ ____ _ _
-- | | | _ \(_) ___| |_ _ _ _ __ ___
-- | | | |_) | |/ __| __| | | | '__/ _ \
-- | |___| __/| | (__| |_| |_| | | | __/
-- |_____|_| |_|\___|\__|\__,_|_| \___|
--
-- «LPicture» (to ".LPicture")
-- This is a minimalistic, and V-based, reimplementation of the
-- LaTeX side of the "Picture" class from:
-- (find-dn5 "picture.lua" "Picture")
LPicture = Class {
type = "LPicture",
new = function (opts)
local lp = {latex="", bb=BoundingBox.new()} -- start empty
-- for k,v in pairs(opts or {}) do lp[k] = v end -- copy options
copyopts(opts, lp)
return LPicture(lp) -- set metatable
end,
__tostring = function (lp) return lp:tolatex() end,
__index = {
addpoint = function (lp, v) lp.bb:addpoint(v); return lp end,
put = function (lp, v, tex)
local x, y = v:to_x_y()
lp.latex = lp.latex .. " \\put("..x..","..y.."){\\cell{"..tex.."}}\n"
lp:addpoint(v-V{.5,.5})
lp:addpoint(v+V{.5,.5})
return lp
end,
putarrow = function (lp, v, dx, dy, tex)
lp:put(v+V{dx,dy}*0.5, tex)
end,
addlineorvector = function (lp, src, tgt, cmd)
lp:addpoint(src)
lp:addpoint(tgt)
local x0, y0 = src:to_x_y()
local x1, y1 = tgt:to_x_y()
local dx, dy = x1-x0, y1-y0
local adx, ady = math.abs(dx), math.abs(dy)
local len = max(adx, ady)
local udx, udy = dx/len, dy/len
local put = " \\put("..x0..","..y0..")"..
"{\\"..(cmd or "line").."("..udx..","..udy.."){"..len.."}}"
lp.latex = lp.latex..put.."\n"
end,
tolatex = function (lp)
return makepicture(lp, lp.bb, lp.latex)
end,
},
}
-- «LPicture-tests» (to ".LPicture-tests")
--[[
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
lp = LPicture.new {cellfont="\\scriptsize"}
for l=0,2 do
for r=0,3 do
local pos=lr(l, r)
lp:put(pos, pos:xy())
end
end
= lp
--]]
-- ______ _ _
-- |__ / | | | / \
-- / /| |_| | / _ \
-- / /_| _ |/ ___ \
-- /____|_| |_/_/ \_\
--
-- «ZHA» (to ".ZHA")
specwidths = function (spec)
local copydigit = function (s) return s:sub(1, 1):rep(#s) end
return (spec:gsub("[1-9][LRV]+", copydigit))
end
specx0 = function (spec) return -(ZHA.fromspec(spec).minx) end
ZHA = Class {
type = "ZHA",
fromspec = function (spec)
return ZHA.fromspec0(spec):calcminmaxlr()
end,
fromspec0 = function (spec, x0)
x0 = x0 or 0
local widths = specwidths(spec)
local z = ZHA {spec=spec, widths=widths,
maxy=#spec-1, minx=x0, maxx=x0,
L={[0]=x0}, R={[0]=x0}}
local getc = function (y) return spec :sub(y+1, y+1) end
local getw = function (y) return widths:sub(y+1, y+1)+0 end
local w, LR = 1, V{x0, x0}
local getdeltaLRw = function (y)
local c = getc(y)
if c == "L" then return V{-1, -1} end -- move left
if c == "R" then return V{ 1, 1} end -- move right
if c == (w+1).."" then w = w+1; return V{-1, 1} end -- become wider
if c == (w-1).."" then w = w-1; return V{ 1, -1} end -- become thinner
error("Bad char: "..c)
end
for y=1,z.maxy do
-- PP(y, getc(y), w)
-- LR = LR + PP(getdeltaLRw(y))
LR = LR + getdeltaLRw(y)
local xL, xR = LR[1], LR[2]
z.L[y], z.R[y] = xL, xR
z.minx = min(z.minx, xL)
z.maxx = max(z.maxx, xR)
end
return z
end,
--
__tostring = function (z) return z:tostring() end,
--
__index = {
PP = function (z) PP(z); return z end,
print = function (z) print(z); return z end,
hasxy = function (z, x,y)
local x, y = v(x, y):to12()
local L, R = z.L[y], z.R[y]
if not L then return false end
if not checkrange(L, x, R) then return false end
if not isint((x-L)/2) then return false end
return true
end,
xycontents = function (z, x,y)
local xy = v(x, y)
if z:hasxy(xy) then return xy:xytolr():todd() end
end,
tolines = function (z)
local lines = {}
for y=z.maxy,0,-1 do
local f = function (x) return z:xycontents(x, y) or " " end
table.insert(lines, mapconcat(f, seq(z.minx, z.maxx)))
end
return lines
end,
tostring = function (z) return table.concat(z:tolines(), "\n") end,
--
-- Compute minl[], maxl[], minr[], maxr[], lrtop
-- (find-dn5file "zha.lua" "calclrminmax =")
leftpoint = function (z, y) return v(z.L[y], y) end,
rightpoint = function (z, y) return v(z.R[y], y) end,
setminmaxlr0 = function (z, v)
local l, r = v:to_l_r()
z.minl[r], z.maxl[r] = minmax(z.minl[r], l, z.maxl[r])
z.minr[l], z.maxr[l] = minmax(z.minr[l], r, z.maxr[l])
end,
calcminmaxlr = function (z)
z.minl, z.minr, z.maxl, z.maxr = {}, {}, {}, {}
for y=0,z.maxy do
z:setminmaxlr0(z:leftpoint(y))
z:setminmaxlr0(z:rightpoint(y))
end
z.top = z:leftpoint(z.maxy)
z.topl, z.topr = z.top:to_l_r()
return z
end,
sw = function (z, v) local l,r = v:to_l_r(); return lr(l, z.minr[l]) end,
ne = function (z, v) local l,r = v:to_l_r(); return lr(l, z.maxr[l]) end,
se = function (z, v) local l,r = v:to_l_r(); return lr(z.minl[r], r) end,
nw = function (z, v) local l,r = v:to_l_r(); return lr(z.maxl[r], r) end,
--
points = function (z)
return cow(function ()
for l=z.topl,0,-1 do
for r=z.minr[l],z.maxr[l] do
coy(lr(l, r)) -- v
end
end
end)
end,
arrows = function (z)
return cow(function ()
for y=z.maxy,1,-1 do
for x=z.L[y],z.R[y],2 do
if z:hasxy(x-1, y-1) then coy(v(x, y), -1, -1) end -- v,dx,dy
if z:hasxy(x+1, y-1) then coy(v(x, y), 1, -1) end -- v,dx,dy
end
end
end)
end,
--
Le = function (z, P, Q) return P:below(Q) end,
T = function (z) return z.top end,
F = function (z) return V{0, 0} end,
And = function (z, P, Q) return P:And(Q) end,
Or = function (z, P, Q) return P:Or(Q) end,
Imp = function (z, P, Q)
if P:below(Q) then return z.top
elseif P:leftof(Q) then return z:ne(P:And(Q))
elseif P:rightof(Q) then return z:nw(P:And(Q))
else return Q
end
end,
Bic = function (z, P, Q) return z:And(z:Imp(P, Q), z:Imp(Q, P)) end,
Not = function (z, P) return z:Imp(P, z:F()) end,
--
-- See:
-- (find-angg "LUA/lua50init.lua" "eval-and-L")
getcuts = function (z, J)
if type(J) == "string" then J = L(J) end
local cuts = ""
local add = function (c) cuts = cuts..c end
local ltoP = function (l) return lr(l, z.maxr[l]) end
local rtoP = function (r) return lr(z.maxl[r], r) end
local isstable = function (P) return J(P):lr() == P:lr() end
add(z.topl)
for l=z.topl-1,0,-1 do
if isstable(ltoP(l)) then add("/") end
add(l)
end
add(" ")
for r=0,z.topr-1 do
add(r)
if isstable(rtoP(r)) then add("|") end
end
add(z.topr)
return cuts
end,
--
rightwallgenerators = function (z, all)
local A = {}
for r=1,z.topr do
if all or z.minl[r-1] < z.minl[r] then
table.insert(A, lr(z.minl[r], r))
end
end
return A
end,
leftwallgenerators = function (z, all)
local A = {}
for l=1,z.topl do
if all or z.minr[l-1] < z.minr[l] then
table.insert(A, lr(l, z.minr[l]))
end
end
return A
end,
rightwallcorners = function (z)
local l, r = 0, 0
local A = {}
-- local dbg = function (str) PP(str, l, r) end
local push = function () table.insert(A, lr(l, r)) end
local nextoutercorner = function () r = z.maxr[l]; push() end
local nextinnercorner = function ()
if r < z.topr then l = z.minl[r+1]; push(); return true end
end
push()
nextoutercorner()
while nextinnercorner() do nextoutercorner() end
l, r = z.topl, z.topr
push()
return A
end,
leftwallcorners = function (z)
local l, r = 0, 0
local A = {}
-- local dbg = function (str) PP(str, l, r) end
local push = function () table.insert(A, lr(l, r)) end
local nextoutercorner = function () l = z.maxl[r]; push() end
local nextinnercorner = function ()
if l < z.topl then r = z.minr[l+1]; push(); return true end
end
push()
nextoutercorner()
while nextinnercorner() do nextoutercorner() end
l, r = z.topl, z.topr
push()
return A
end,
},
}
-- «ZHA-tests» (to ".ZHA-tests")
--[[
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
-- (find-dn5 "zha.lua" "ZHA")
dofile "newrect.lua"
ZHA.fromspec("12L1RRR2RL1"):PP()
ZHA.fromspec("12L1RRR2RL1", 100):PP()
ZHA.fromspec("123LLR432L1"):PP()
ZHA.fromspec("123RRL432R1"):PP()
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
-- (find-dn5 "zha.lua" "ZHA")
dofile "newrect.lua"
z = ZHA.fromspec("123RRL432R1"):PP()
= z
for y=z.maxy-1,0,-1 do
for x=z.minx,z.maxx do
printf(z:xycontents(x, y) or " ")
end
print()
end
= z
PP(z)
PP(z:tolines())
PP(z:tostring())
= z:hasxy(0,0)
= z
= z.xytolr
-- «ZHA-tests-walls» (to ".ZHA-tests-walls")
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
-- (find-dn5 "zha.lua" "ZHA")
dofile "newrect.lua"
z = ZHA.fromspec("12RRL1LLRR")
= z
for y=z.maxy,0,-1 do print(z:leftpoint(y):lr()) end
for y=z.maxy,0,-1 do print(z:rightpoint(y):lr()) end
for _,P in ipairs(z:rightwallgenerators("all")) do print(P:lr()) end
for _,P in ipairs(z:rightwallgenerators()) do print(P:lr()) end
for _,P in ipairs(z:leftwallgenerators("all")) do print(P:lr()) end
for _,P in ipairs(z:leftwallgenerators()) do print(P:lr()) end
for _,P in ipairs(z:rightwallcorners()) do print(P:lr()) end
for _,P in ipairs(z:leftwallcorners()) do print(P:lr()) end
-- 45
-- 44
-- 43
-- 33
-- 23
-- 22 13
-- 12 03
-- 11 02
-- 10 01
-- 00
-- «ZHA-test-connectives» (to ".ZHA-test-connectives")
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
-- (find-dn5 "zha.lua" "ZHA")
dofile "newrect.lua"
z = ZHA.fromspec("12RRL1LLRR")
= z:Imp(v"11", v"02"):lr() --> 03
= z:Imp(v"03", v"12"):lr() --> 22
= z:Imp(v"23", v"12"):lr() --> 12
= z:Imp(v"12", v"23"):lr() --> 45
= z:ne(v"10"):lr()
= z:nw(v"02"):lr()
= v"12":And(v"03"):lr()
= v"11":And(v"02"):lr()
= z:ne(v"11":And(v"02")):lr()
= v("11"):leftof(v"02")
= v("11"):above(v"02")
= v("11"):below(v"02")
= v("23"):below(v"12")
= v("23"):above(v"12")
-- «ZHA-test-generators» (to ".ZHA-test-generators")
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
z = ZHA.fromspec("123RRL432R1")
for v in z:points() do printf("%s ", v:lr()) end
ap = AsciiPicture.new(" ")
for v in z:points() do ap:put(v, v:lr()) end
= ap
ap = AsciiPicture.new(" ")
for P in z:points() do ap:put(P, P:And(v"23"):lr()) end
= ap
z = ZHA.fromspec("121L")
= z
for P,dx,dy in z:arrows() do print(P:lr().."->"..(P+v(dx,dy)):lr()) end
--]]
-- _ _ _
-- ___| |__ ___ _ __| |_ ___ _ __ ___ _ __ __ _| |_ ___ _ __ ___
-- / __| '_ \ / _ \| '__| __/ _ \| '_ \ / _ \ '__/ _` | __/ _ \| '__/ __|
-- \__ \ | | | (_) | | | || (_) | |_) | __/ | | (_| | || (_) | | \__ \
-- |___/_| |_|\___/|_| \__\___/| .__/ \___|_| \__,_|\__\___/|_| |___/
-- |_|
-- «shortoperators» (to ".shortoperators")
function shortoperators ()
True = function () return z:T() end
False = function () return z:F() end
And = function (P, Q) return P:And(Q) end
Or = function (P, Q) return P:Or(Q) end
Imp = function (P, Q) return z:Imp(P, Q) end
Not = function (P) return Imp(P, False()) end
Bic = function (P, Q) return z:Bic(P, Q) end
--
Cloq = function (A) return function (P) return Or(A, P) end end
Opnq = function (A) return function (P) return Imp(A, P) end end
Booq = function (A) return function (P) return Imp(Imp(P, A), A) end end
Forq = function (A, B) return function (P) return And(Or(A, P), Imp(B, P)) end end
Jand = function (J, K) return function (P) return And(J(P), K(P)) end end
end
-- «shortoperators-tests» (to ".shortoperators-tests")
--[[
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
shortoperators()
= mpnewJ({}, "1234567654321", Opnq(v"23")):zhaPs("23")
= mpnewJ({}, "1234567654321", Cloq(v"23")):zhaPs("23")
= mpnewJ({}, "1234567654321", Booq(v"23")):zhaPs("23")
= mpnewJ({}, "1234567654321", Forq(v"42", v"24")):zhaPs("42 24")
--]]
-- ____ _
-- / ___| _| |_ ___
-- | | | | | | __/ __|
-- | |__| |_| | |_\__ \
-- \____\__,_|\__|___/
--
-- «Cuts» (to ".Cuts")
Cuts = Class {
type = "Cuts",
new = function ()
return Cuts {minicuts={}, asciibb=BoundingBox.new(),
latex="", latexbb=BoundingBox.new()}
end,
__tostring = function (c) return c:tostring() end,
__index = {
get = function (c, v)
return (c.minicuts[v[2]] or {})[v[1]] or " "
end,
tolines = function (c)
local x0, x1, y0, y1 = c.asciibb:x0x1y0y1()
local lines = {}
for y=y1,y0,-1 do
local s = ""
for x=x0,x1 do
local char = (c.minicuts[y] or {})[x] or " "
s = s..char
end
table.insert(lines, s)
end
return lines
end,
tostring = function (c) return table.concat(c:tolines(), "\n") end,
print = function (c) print(c); return c end,
--
-- Low-level functions for adding cuts
addminicut = function (c, x, y, slash)
c.minicuts[y] = c.minicuts[y] or {}
c.minicuts[y][x] = slash
c.asciibb:addpoint(v(x, y))
end,
addcut0 = function (c, src, tgt)
c.latexbb:addpoint(src)
c.latexbb:addpoint(tgt)
--
local x0, y0 = src:to_x_y()
local x1, y1 = tgt:to_x_y()
if y1 < y0 then x0, y0, x1, y1 = x1, y1, x0, y0 end
local dx, dy = x1-x0, y1-y0
if dy == dx then -- northeast, with "/"s
for a=0.5,dy-0.5 do
c:addminicut(x0+a, y0+a, "/")
end
elseif dy == -dx then -- northwest, with "\"s
for a=0.5,dy-0.5 do
c:addminicut(x0-a, y0+a, "\\")
end
else PP("dx=", dx, "dy=", dy); error()
end
c:addlatexcut(src, tgt) -- defined below
return c
end,
addcuts0 = function (c, list)
for i=1,#list-1 do c:addcut0(list[i], list[i+1]) end
return c
end,
--
-- Medium-level functions for adding cuts
addcontour = function (c, zha)
local leftwall = zha:leftwallcorners()
local rightwall = zha:rightwallcorners()
local corners = {}
table.insert(corners, leftwall[1]:s())
for i=2,#leftwall-1 do table.insert(corners, leftwall[i]:w()) end
table.insert(corners, leftwall[#leftwall]:n())
for i=#rightwall-1,2,-1 do table.insert(corners, rightwall[i]:e()) end
table.insert(corners, rightwall[1]:s())
c:addcuts0(corners)
return c
end,
addlcut = function (c, zha, l)
local westcell = lr(l+1, zha.minr[l+1])
local eastcell = lr(l, zha.maxr[l])
c:addcut0(westcell:s(), eastcell:n())
return c
end,
addrcut = function (c, zha, r)
local eastcell = lr(zha.minl[r+1], r+1)
local westcell = lr(zha.maxl[r], r)
c:addcut0(westcell:n(), eastcell:s())
return c
end,
--
-- A high-level function for adding (all kinds of) cuts.
addcuts = function (c, zha, str)
if str:match"c" then c:addcontour(zha) end
for l in str:gmatch"/(%d)" do c:addlcut(zha, l+0) end
for r in str:gmatch"(%d)|" do c:addrcut(zha, r+0) end
--
local f = function (lr, dir) local P = v(lr); return P[dir](P) end
local pat = "(%d%d)([ensw])-(%d%d)([ensw])"
for src,sdir,tgt,tdir in str:gmatch(pat) do
c:addcut0(f(src, sdir), f(tgt, tdir))
end
return c
end,
--
-- Communication with Picture objects
-- Similar to: (find-dn5 "newrect.lua" "LPicture" "addlineorvector =")
addlatexcut = function (c, src, tgt)
local x0, y0 = src:to_x_y()
local x1, y1 = tgt:to_x_y()
local dx, dy = x1-x0, y1-y0
local len = math.abs(dx)
local udx, udy = dx/len, dy/len
local put = " \\put("..x0..","..y0..")"..
"{\\line("..udx..","..udy.."){"..len.."}}"
c.latex = c.latex..put.."\n"
end,
-- copylatexcuts = function (c, pic)
-- end,
},
}
--[[
-- «Cuts-tests» (to ".Cuts-tests")
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
c = Cuts.new()
z = ZHA.fromspec("12RRL1LLRR")
= z
= c:addcuts0{v"00":w(), v"01":n(), v"01":e()}
PP(c)
= c:addcontour(z)
= c.latex
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
c = Cuts.new()
z = ZHA.fromspec("12RRL1LLRR")
= c:addcontour(z)
= c:addlcut(z, 0)
= c:addlcut(z, 1)
= c:addlcut(z, 2)
= c:addrcut(z, 0)
= c:addrcut(z, 1)
= c:addrcut(z, 2)
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
c = Cuts.new()
z = ZHA.fromspec("12RRL1LLRR"):print()
= c:addcuts(z, "c 432/1/0 0|1|2|345")
z = ZHA.fromspec("1234567654321"):print()
c = Cuts.new()
= c:addcuts(z, "c 01e-41n 40w-44n 14n-64n 11n-16n")
--]]
-- __ __ _ _ ____ _ _
-- | \/ (_)_ _____ __| | _ \(_) ___| |_ _ _ _ __ ___
-- | |\/| | \ \/ / _ \/ _` | |_) | |/ __| __| | | | '__/ _ \
-- | | | | |> < __/ (_| | __/| | (__| |_| |_| | | | __/
-- |_| |_|_/_/\_\___|\__,_|_| |_|\___|\__|\__,_|_| \___|
--
-- «MixedPicture» (to ".MixedPicture")
-- A MixedPicture object has both and ascii representation and a LaTeX
-- representation...
strtotex = function (str) -- Used by MixedPicture:put(...)
if str:match"^%.+$" then return "\\cdot" end
if str:match"^%*+$" then return "\\bullet" end
end
MixedPicture = Class {
type = "MixedPicture",
new = function (options, zha, J)
return MixedPicture {
ap = AsciiPicture.new(options.s or " "),
lp = LPicture.new(options),
cuts = Cuts.new(),
zha = zha,
J = J,
}
end,
__tostring = function (mp) return mp:tostring() end,
__index = {
tolines_mixed = function (mp)
local x0, x1, y0, y1 = mp.ap .bb:x0x1y0y1()
local cx0, cx1, cy0, cy1 = mp.cuts.asciibb:x0x1y0y1()
local lines = {}
for y=max(y1, cy1),min(y0, cy0),-.5 do
local line = ""
for x=min(x0, cx0),max(x1, cx1),.5 do
if isint(x)
then line = line..mp.ap:get(v(x, y))
else line = line..mp.cuts:get(v(x, y))
end
end
table.insert(lines, line)
end
return lines
end,
tolines = function (mp)
local hascuts = mp.cuts.asciibb.x0y0
local hasnodes = mp.ap.bb.x0y0
if hasnodes and hascuts then return mp:tolines_mixed() end
if hasnodes then return mp.ap:tolines() end
if hascuts then return mp.cuts:tolines() end
return {"empty"}
end,
tostring = function (mp) return table.concat(mp:tolines(), "\n") end,
print = function (mp) print(mp); return mp end,
lprint = function (mp) print(mp:tolatex()); return mp end,
output = function (mp) output(mp:tolatex()); return mp end,
--
addcontour = function (mp) mp.cuts:addcontour(mp.zha); return mp end,
addlcut = function (mp, ...) mp.cuts:addlcut(mp.zha, ...); return mp end,
addrcut = function (mp, ...) mp.cuts:addrcut(mp.zha, ...); return mp end,
addcuts = function (mp, ...) mp.cuts:addcuts(mp.zha, ...); return mp end,
--
points = function (mp, ...) return mp.zha:points() end,
--
put = function (mp, v, str, tex)
mp.ap:put(v, str)
mp.lp:put(v, tex or strtotex(str) or str)
return mp
end,
--
zfunction = function (mp, asciirect)
for x,y,c in asciirectpoints(asciirect) do
if c:match"%d" then
mp:put(v(x, y), "#"..c)
mp.lp.def = mp.lp.def.."#"..c
end
end
return mp
end,
zsetbullets = function (mp, asciirect)
for x,y,c in asciirectpoints(asciirect) do
if c:match"%d" then mp:put(v(x, y), "**") end
end
return mp
end,
zhabullets = function (mp)
for v in mp.zha:points() do mp:put(v, "**") end
return mp
end,
zhadots = function (mp)
for v in mp.zha:points() do mp:put(v, "..") end
return mp
end,
zhalr = function (mp)
for v in mp.zha:points() do mp:put(v, v:lr()) end
return mp
end,
zhaPs = function (mp, str)
for _,w in ipairs(split(str)) do mp:put(v(w), w) end
return mp
end,
--
putpiledef = function (mp, v)
local L, R = mp.zha.topl, mp.zha.topr
local l, r = v:to_l_r()
local pile = function (h, n) return ("0"):rep(h-n)..("1"):rep(n) end
local piledef = function (A, B, a, b)
return "\\foo{"..a..b.."}{"..pile(A, a).." "..pile(B, b).."}"
end
mp:put(v, v:lr(), piledef(L, R, l, r))
return mp
end,
zhapiledefs = function (mp)
for v in mp.zha:points() do mp:putpiledef(v) end
return mp
end,
--
-- (find-angg "LUA/lua50init.lua" "eval-and-L")
setz = function (mp) z = mp.zha; return mp end,
zhalrf = function (mp, f)
if type(f) == "string" then f = L(f) end
for v in mp.zha:points() do mp:put(v, f(v):lr()) end
return mp
end,
zhaJ = function (mp) return mp:zhalrf(mp.J) end,
zhaJcuts = function (mp) return mp:addcuts(mp.zha:getcuts(mp.J)) end,
--
tolatex = function (mp)
local body = mp.cuts.latex .. mp.lp.latex
local bb = BoundingBox.new():merge(mp.lp.bb):merge(mp.cuts.latexbb)
return makepicture(mp.lp, bb, body)
end,
},
}
mpnew = function (opts, spec, J)
local z = ZHA.fromspec(spec)
local mp = MixedPicture.new(opts, z, J)
return mp, z
end
mpnewJ = function (opts, spec, J)
return mpnew({}, spec, J):setz():zhaJcuts():addcontour()
end
-- «MixedPicture-tests» (to ".MixedPicture-tests")
--[[
latex = mp:tolatex()
latex = "\\def\\foo{%\n"..latex.."}"
latex = "\\def\\foo#1{\\hbox#1%\n".. mp:tolatex() .."}"
= latex
writefile("/tmp/o.tex", latex) -- (find-fline "/tmp/o.tex")
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
z = ZHA.fromspec("12RRL1LLRR")
= z
mp = MixedPicture.new({}, z)
mp = MixedPicture.new({bhbox=1, paren=1, scale="10pt", def="foo"}, z)
= mp:put(v"02", "02")
= mp:tolatex()
for v in z:points() do mp:put(v, v:lr()) end
= mp:addcontour()
= mp:addlcut(0):addrcut(2)
latex = mp:tolatex()
= latex
-- latex = "\\def\\foo{"..latex.."}"
-- = latex
writefile("/tmp/o.tex", latex) -- (find-fline "/tmp/o.tex")
-- (find-ist "-handouts.tex" "mixedpicture-tests")
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
z = ZHA.fromspec("1234R3L21L")
= z
mp = MixedPicture.new({bhbox=1, paren=1, scale="10pt", def="foo"}, z)
mp = MixedPicture.new({def="foo"}, z)
for v in z:points() do mp:put(v, v:lr()) end
= mp:addcontour()
= mp:addrcut(0):addrcut(2)
= mp:addlcut(1)
= mp:put(v"20", "P")
= mp:put(v"30", "P*", "P^*")
= mp:put(v"11", "Q")
= mp:put(v"12", "Q*", "Q^*")
= mp:put(v"03", "R")
= mp:put(v"14", "R*", "R^*")
latex = mp:tolatex()
-- latex = "\\def\\foo{"..latex.."}"
= latex
writefile("/tmp/o.tex", latex) -- (find-fline "/tmp/o.tex")
-- (find-ist "-handouts.tex" "mixedpicture-tests")
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
z = ZHA.fromspec("121L")
= z
mp = MixedPicture.new({bhbox=1, paren=1, scale="20pt"}, z)
mp = MixedPicture.new({bhbox=1, scale="14pt", cellfont="\\scriptsize"}, z)
-- for v in z:points() do mp:put(v, v:lr()) end
for v in z:points() do mp:put(v, v:xy()) end
= mp
for v,dx,dy in mp.zha:arrows() do print(v, dx, dy) end
for v,dx,dy in mp.zha:arrows() do
local tex = (dx==-1) and "\\swarrow" or "\\searrow"
mp.lp:putarrow(v, dx, dy, tex)
end
= mp.lp
latex = mp:tolatex()
latex = "\\def\\foo{"..latex.."}"
= latex
writefile("/tmp/o.tex", latex) -- (find-fline "/tmp/o.tex")
-- (find-ist "-handouts.tex" "mixedpicture-tests")
-- «MixedPicture-arch-tests» (to ".MixedPicture-arch-tests")
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
-- The (v*) cube
mp = mpnew({def="orStarCubeArchetypal"}, "12321L"):addcuts("c 21/0 0|12")
mp:put(v"10", "P"):put(v"20", "P*", "P^*")
mp:put(v"01", "Q"):put(v"02", "Q*", "Q^*"):print()
-- The (&*) cube
mp = mpnew({def="andStarCubeArchetypal"}, "12321"):addcuts("c 2/10 01|2")
mp:put(v"20", "P"):put(v"21", "P*", "P^*")
mp:put(v"02", "Q"):put(v"12", "Q*", "Q^*"):print()
-- The (->*) cube
mp = mpnew({def="impStarCubeArchetypal"}, "12321"):addcuts("c 2/10 01|2")
mp:put(v"10", "P")
mp:put(v"00", "Q"):print()
-- (&R) is *-functorial
mp = mpnew({def="andRIsStarFunctorial"}, "1234R321"):addcuts("c 32/10 01|23|4")
mp:put(v"30", "P"):put(v"31", "P*", "P^*")
mp:put(v"22", "Q"):put(v"33", "Q*", "Q^*")
mp:put(v"04", "R"):put(v"14", "R*", "R^*"):print()
-- (Pv) is *-functorial
mp = mpnew({def="PvIsStarFunctorial"}, "1234R3L21L"):addcuts("c 5432/10 0|12|34")
mp:put(v"20", "P"):put(v"30", "P*", "P^*")
mp:put(v"11", "Q"):put(v"12", "Q*", "Q^*")
mp:put(v"03", "R"):put(v"14", "R*", "R^*"):print()
-- «MixedPicture-zset-tests» (to ".MixedPicture-zset-tests")
-- (find-dn5file "newrect.lua" "zfunction =")
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
z = ZHA.fromspec("12321L"):print()
house = ".1.|2.3|4.5"
mp = MixedPicture.new({def="dagHouse"}):zfunction(house):print():lprint()
mp = MixedPicture.new({def="dagHouse", meta="t", scale="5pt"}, z):zfunction(house):lprint()
mp = MixedPicture.new({def="House"}):zsetbullets(house):print():lprint()
mp = MixedPicture.new({def="Ten"}, z):zhabullets():print()
mp = MixedPicture.new({def="Ten"}, z):zhadots():print()
mp = MixedPicture.new({def="Ten"}, z):zhalr():print()
mp = mpnew({scale="15pt"}, "121L"):zhapiledefs():print():lprint()
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
threefour = "..1|2.3|4.5|6.7"
MixedPicture.new({def="dagThreeFour", meta="s"}):zfunction(threefour):print():lprint()
-- «MixedPicture-J-tests» (to ".MixedPicture-J-tests")
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
= mpnewJ({}, "1234RR321", "P -> z:Or(P, v'12')")
= mpnewJ({}, "1234RR321", "P -> z:Imp(v'12', P)")
= mpnewJ("", "1234RR321", "P -> z:Imp(v'12', P)")
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
--]]
-- _ _ _ _ _
-- __ _ ___ ___(_|_)_ __ ___ ___| |_ _ __ ___ (_)_ __ | |_ ___
-- / _` / __|/ __| | | '__/ _ \/ __| __| '_ \ / _ \| | '_ \| __/ __|
-- | (_| \__ \ (__| | | | | __/ (__| |_| |_) | (_) | | | | | |_\__ \
-- \__,_|___/\___|_|_|_| \___|\___|\__| .__/ \___/|_|_| |_|\__|___/
-- |_|
--
-- Asciirects are a good way to specify ZSets and ZFunctions - for
-- example, ".1.|2.3|4.5" is (reading order on) the "House" ZSet.
--
-- «asciirectpoints» (to ".asciirectpoints")
asciirectpoints = function (lines)
return cow(function ()
if type(lines) == "string" then
lines = splitlines((lines:gsub("|", "\n")))
end
for y=#lines-1,0,-1 do
local line = lines[#lines-y]
for x=0,#line-1 do
local c = line:sub(x+1, x+1)
coy(x, y, c)
end
end
end)
end
-- «asciirectpoints-tests» (to ".asciirectpoints-tests")
--[[
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
str = ".1.|2.3|4.5"
for x,y,c in asciirectpoints(str) do print(x, y, c) end
for x,y,c in asciirectpoints(str) do
if c:match"%d" then
local p = "#"..c
print(v(x, y), c)
end
end
opts = {def="dagHouse", scale="4pt", meta="p b s"}
mp = MixedPicture.new(opts)
PP(mp.lp)
for x,y,c in asciirectpoints(str) do
if c:match"%d" then
mp:put(v(x, y), "#"..c)
mp.lp.def = mp.lp.def.."#"..c
end
end
= mp
= mp:tolatex()
opts = {def="PvSTbullets", meta="p b s", scale="4pt"}
z = ZHA.fromspec("1234R3L21L"):print()
mp = MixedPicture.new(opts, z)
for v in z:points() do mp:put(v, "**") end
= mp
= mp:tolatex()
-- (find-istfile "1.org" "* 2-column graphs")
-- (find-istfile "1.org" "* 2-column graphs" "how to convert between proper")
z = ZHA.fromspec("12RR1234321L"):print()
-- 56 56
-- 46 ..
-- 45 36 .. ..
-- 44 35 26 .. .. ..
-- 43 34 25 16 43 .. .. 16
-- 33 24 15 33 .. 15
-- 23 14 23 14
-- 13 ..
-- 12 03 .. 03
-- 11 02 .. 02
-- 10 01 10 01
-- 00 ..
-- (find-istfile "1.org" "* ZQuotients")
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
z = ZHA.fromspec("12345RR4321"):print()
z = ZHA.fromspec("1234543RR21"):print()
z = ZHA.fromspec("1234543RR21"):print()
z = ZHA.fromspec("1R2R3212RL1"):print()
mp = MixedPicture.new({def="foo"}, z):zhalr()
mp:addcuts("c 4321/0 0123|45|6"):print()
--]]
--[[
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
opts = {def="graphid", scale="6pt", meta="p b s"}
mp = MixedPicture.new(opts)
spec = "012345"
for y=0,5 do mp:put(v(-1, y), y.."") end
for x=0,5 do mp:put(v(x, -1), x.."") end
for a=0,5 do local aP = spec:sub(a+1, a+1)+0; mp:put(v(a, aP), "*") end
mp.lp:addlineorvector(v(0, 0), v(6, 0), "vector")
mp.lp:addlineorvector(v(0, 0), v(0, 6), "vector")
mp:put(v(7, 0), "a")
mp:put(v(0, 7), "aP", "a^P")
= mp.lp
= mp
= mp.lp
= mp
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
z = ZHA.fromspec("1R2R3212RL1")
mp = MixedPicture.new({def="ZQ", scale="1pt", meta="b ss"}, z)
mp:zhadots()
mp:lprint()
-- (find-dn5 "newrect.lua" "LPicture" "addlineorvector =")
-- (find-dn5 "newrect.lua" "LPicture")
-- (find-dn5 "newrect.lua" "MixedPicture")
--]]
--[[
* (eepitch-lua51)
* (eepitch-kill)
* (eepitch-lua51)
dofile "newrect.lua"
--]]
-- Local Variables:
-- coding: raw-text-unix
-- End: