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initial commit. This is icculus version 5542b94cae02a6333845854bbbd1abe0a259f1a4

This commit is contained in:
fgenesis 2011-08-03 22:05:33 +02:00
commit 3096eaf5e2
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These are simple tests for Lua. Some of them contain useful code.
They are meant to be run to make sure Lua is built correctly and also
to be read, to see how Lua programs look.
Here is a one-line summary of each program:
bisect.lua bisection method for solving non-linear equations
cf.lua temperature conversion table (celsius to farenheit)
echo.lua echo command line arguments
env.lua environment variables as automatic global variables
factorial.lua factorial without recursion
fib.lua fibonacci function with cache
fibfor.lua fibonacci numbers with coroutines and generators
globals.lua report global variable usage
hello.lua the first program in every language
life.lua Conway's Game of Life
luac.lua bare-bones luac
printf.lua an implementation of printf
readonly.lua make global variables readonly
sieve.lua the sieve of of Eratosthenes programmed with coroutines
sort.lua two implementations of a sort function
table.lua make table, grouping all data for the same item
trace-calls.lua trace calls
trace-globals.lua trace assigments to global variables
xd.lua hex dump

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-- bisection method for solving non-linear equations
delta=1e-6 -- tolerance
function bisect(f,a,b,fa,fb)
local c=(a+b)/2
io.write(n," c=",c," a=",a," b=",b,"\n")
if c==a or c==b or math.abs(a-b)<delta then return c,b-a end
n=n+1
local fc=f(c)
if fa*fc<0 then return bisect(f,a,c,fa,fc) else return bisect(f,c,b,fc,fb) end
end
-- find root of f in the inverval [a,b]. needs f(a)*f(b)<0
function solve(f,a,b)
n=0
local z,e=bisect(f,a,b,f(a),f(b))
io.write(string.format("after %d steps, root is %.17g with error %.1e, f=%.1e\n",n,z,e,f(z)))
end
-- our function
function f(x)
return x*x*x-x-1
end
-- find zero in [1,2]
solve(f,1,2)

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-- temperature conversion table (celsius to farenheit)
for c0=-20,50-1,10 do
io.write("C ")
for c=c0,c0+10-1 do
io.write(string.format("%3.0f ",c))
end
io.write("\n")
io.write("F ")
for c=c0,c0+10-1 do
f=(9/5)*c+32
io.write(string.format("%3.0f ",f))
end
io.write("\n\n")
end

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-- echo command line arguments
for i=0,table.getn(arg) do
print(i,arg[i])
end

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-- read environment variables as if they were global variables
local f=function (t,i) return os.getenv(i) end
setmetatable(getfenv(),{__index=f})
-- an example
print(a,USER,PATH)

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-- function closures are powerful
-- traditional fixed-point operator from functional programming
Y = function (g)
local a = function (f) return f(f) end
return a(function (f)
return g(function (x)
local c=f(f)
return c(x)
end)
end)
end
-- factorial without recursion
F = function (f)
return function (n)
if n == 0 then return 1
else return n*f(n-1) end
end
end
factorial = Y(F) -- factorial is the fixed point of F
-- now test it
function test(x)
io.write(x,"! = ",factorial(x),"\n")
end
for n=0,16 do
test(n)
end

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-- fibonacci function with cache
-- very inefficient fibonacci function
function fib(n)
N=N+1
if n<2 then
return n
else
return fib(n-1)+fib(n-2)
end
end
-- a general-purpose value cache
function cache(f)
local c={}
return function (x)
local y=c[x]
if not y then
y=f(x)
c[x]=y
end
return y
end
end
-- run and time it
function test(s,f)
N=0
local c=os.clock()
local v=f(n)
local t=os.clock()-c
print(s,n,v,t,N)
end
n=arg[1] or 24 -- for other values, do lua fib.lua XX
n=tonumber(n)
print("","n","value","time","evals")
test("plain",fib)
fib=cache(fib)
test("cached",fib)

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-- example of for with generator functions
function generatefib (n)
return coroutine.wrap(function ()
local a,b = 1, 1
while a <= n do
coroutine.yield(a)
a, b = b, a+b
end
end)
end
for i in generatefib(1000) do print(i) end

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-- reads luac listings and reports global variable usage
-- lines where a global is written to are marked with "*"
-- typical usage: luac -p -l file.lua | lua globals.lua | sort | lua table.lua
while 1 do
local s=io.read()
if s==nil then break end
local ok,_,l,op,g=string.find(s,"%[%-?(%d*)%]%s*([GS])ETGLOBAL.-;%s+(.*)$")
if ok then
if op=="S" then op="*" else op="" end
io.write(g,"\t",l,op,"\n")
end
end

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-- the first program in every language
io.write("Hello world, from ",_VERSION,"!\n")

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-- life.lua
-- original by Dave Bollinger <DBollinger@compuserve.com> posted to lua-l
-- modified to use ANSI terminal escape sequences
-- modified to use for instead of while
local write=io.write
ALIVE="¥" DEAD="þ"
ALIVE="O" DEAD="-"
function delay() -- NOTE: SYSTEM-DEPENDENT, adjust as necessary
for i=1,10000 do end
-- local i=os.clock()+1 while(os.clock()<i) do end
end
function ARRAY2D(w,h)
local t = {w=w,h=h}
for y=1,h do
t[y] = {}
for x=1,w do
t[y][x]=0
end
end
return t
end
_CELLS = {}
-- give birth to a "shape" within the cell array
function _CELLS:spawn(shape,left,top)
for y=0,shape.h-1 do
for x=0,shape.w-1 do
self[top+y][left+x] = shape[y*shape.w+x+1]
end
end
end
-- run the CA and produce the next generation
function _CELLS:evolve(next)
local ym1,y,yp1,yi=self.h-1,self.h,1,self.h
while yi > 0 do
local xm1,x,xp1,xi=self.w-1,self.w,1,self.w
while xi > 0 do
local sum = self[ym1][xm1] + self[ym1][x] + self[ym1][xp1] +
self[y][xm1] + self[y][xp1] +
self[yp1][xm1] + self[yp1][x] + self[yp1][xp1]
next[y][x] = ((sum==2) and self[y][x]) or ((sum==3) and 1) or 0
xm1,x,xp1,xi = x,xp1,xp1+1,xi-1
end
ym1,y,yp1,yi = y,yp1,yp1+1,yi-1
end
end
-- output the array to screen
function _CELLS:draw()
local out="" -- accumulate to reduce flicker
for y=1,self.h do
for x=1,self.w do
out=out..(((self[y][x]>0) and ALIVE) or DEAD)
end
out=out.."\n"
end
write(out)
end
-- constructor
function CELLS(w,h)
local c = ARRAY2D(w,h)
c.spawn = _CELLS.spawn
c.evolve = _CELLS.evolve
c.draw = _CELLS.draw
return c
end
--
-- shapes suitable for use with spawn() above
--
HEART = { 1,0,1,1,0,1,1,1,1; w=3,h=3 }
GLIDER = { 0,0,1,1,0,1,0,1,1; w=3,h=3 }
EXPLODE = { 0,1,0,1,1,1,1,0,1,0,1,0; w=3,h=4 }
FISH = { 0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0; w=5,h=4 }
BUTTERFLY = { 1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1; w=5,h=5 }
-- the main routine
function LIFE(w,h)
-- create two arrays
local thisgen = CELLS(w,h)
local nextgen = CELLS(w,h)
-- create some life
-- about 1000 generations of fun, then a glider steady-state
thisgen:spawn(GLIDER,5,4)
thisgen:spawn(EXPLODE,25,10)
thisgen:spawn(FISH,4,12)
-- run until break
local gen=1
write("\027[2J") -- ANSI clear screen
while 1 do
thisgen:evolve(nextgen)
thisgen,nextgen = nextgen,thisgen
write("\027[H") -- ANSI home cursor
thisgen:draw()
write("Life - generation ",gen,"\n")
gen=gen+1
if gen>2000 then break end
--delay() -- no delay
end
end
LIFE(40,20)

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-- bare-bones luac in Lua
-- usage: lua luac.lua file.lua
assert(arg[1]~=nil and arg[2]==nil,"usage: lua luac.lua file.lua")
f=assert(io.open("luac.out","wb"))
assert(f:write(string.dump(assert(loadfile(arg[1])))))
assert(f:close())

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-- an implementation of printf
function printf(...)
io.write(string.format(...))
end
printf("Hello %s from %s on %s\n",os.getenv"USER" or "there",_VERSION,os.date())

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-- make global variables readonly
local f=function (t,i) error("cannot redefine global variable `"..i.."'",2) end
local g={}
local G=getfenv()
setmetatable(g,{__index=G,__newindex=f})
setfenv(1,g)
-- an example
rawset(g,"x",3)
x=2
y=1 -- cannot redefine `y'

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-- the sieve of of Eratosthenes programmed with coroutines
-- typical usage: lua -e N=1000 sieve.lua | column
-- generate all the numbers from 2 to n
function gen (n)
return coroutine.wrap(function ()
for i=2,n do coroutine.yield(i) end
end)
end
-- filter the numbers generated by `g', removing multiples of `p'
function filter (p, g)
return coroutine.wrap(function ()
while 1 do
local n = g()
if n == nil then return end
if math.mod(n, p) ~= 0 then coroutine.yield(n) end
end
end)
end
N=N or 1000 -- from command line
x = gen(N) -- generate primes up to N
while 1 do
local n = x() -- pick a number until done
if n == nil then break end
print(n) -- must be a prime number
x = filter(n, x) -- now remove its multiples
end

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-- two implementations of a sort function
-- this is an example only. Lua has now a built-in function "sort"
-- extracted from Programming Pearls, page 110
function qsort(x,l,u,f)
if l<u then
local m=math.random(u-(l-1))+l-1 -- choose a random pivot in range l..u
x[l],x[m]=x[m],x[l] -- swap pivot to first position
local t=x[l] -- pivot value
m=l
local i=l+1
while i<=u do
-- invariant: x[l+1..m] < t <= x[m+1..i-1]
if f(x[i],t) then
m=m+1
x[m],x[i]=x[i],x[m] -- swap x[i] and x[m]
end
i=i+1
end
x[l],x[m]=x[m],x[l] -- swap pivot to a valid place
-- x[l+1..m-1] < x[m] <= x[m+1..u]
qsort(x,l,m-1,f)
qsort(x,m+1,u,f)
end
end
function selectionsort(x,n,f)
local i=1
while i<=n do
local m,j=i,i+1
while j<=n do
if f(x[j],x[m]) then m=j end
j=j+1
end
x[i],x[m]=x[m],x[i] -- swap x[i] and x[m]
i=i+1
end
end
function show(m,x)
io.write(m,"\n\t")
local i=1
while x[i] do
io.write(x[i])
i=i+1
if x[i] then io.write(",") end
end
io.write("\n")
end
function testsorts(x)
local n=1
while x[n] do n=n+1 end; n=n-1 -- count elements
show("original",x)
qsort(x,1,n,function (x,y) return x<y end)
show("after quicksort",x)
selectionsort(x,n,function (x,y) return x>y end)
show("after reverse selection sort",x)
qsort(x,1,n,function (x,y) return x<y end)
show("after quicksort again",x)
end
-- array to be sorted
x={"Jan","Feb","Mar","Apr","May","Jun","Jul","Aug","Sep","Oct","Nov","Dec"}
testsorts(x)

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-- make table, grouping all data for the same item
-- input is 2 columns (item, data)
local A
while 1 do
local l=io.read()
if l==nil then break end
local _,_,a,b=string.find(l,'"?([_%w]+)"?%s*(.*)$')
if a~=A then A=a io.write("\n",a,":") end
io.write(" ",b)
end
io.write("\n")

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-- trace calls
-- example: lua -ltrace-calls bisect.lua
local level=0
local function hook(event)
local t=debug.getinfo(3)
io.write(level," >>> ",string.rep(" ",level))
if t~=nil and t.currentline>=0 then io.write(t.short_src,":",t.currentline," ") end
t=debug.getinfo(2)
if event=="call" then
level=level+1
else
level=level-1 if level<0 then level=0 end
end
if t.what=="main" then
if event=="call" then
io.write("begin ",t.short_src)
else
io.write("end ",t.short_src)
end
elseif t.what=="Lua" then
-- table.foreach(t,print)
io.write(event," ",t.name or "(Lua)"," <",t.linedefined,":",t.short_src,">")
else
io.write(event," ",t.name or "(C)"," [",t.what,"] ")
end
io.write("\n")
end
debug.sethook(hook,"cr")
level=0

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-- trace assigments to global variables
do
-- a tostring that quotes strings. note the use of the original tostring.
local _tostring=tostring
local tostring=function(a)
if type(a)=="string" then
return string.format("%q",a)
else
return _tostring(a)
end
end
local log=function (name,old,new)
local t=debug.getinfo(3,"Sl")
local line=t.currentline
io.write(t.short_src)
if line>=0 then io.write(":",line) end
io.write(": ",name," is now ",tostring(new)," (was ",tostring(old),")","\n")
end
local g={}
local set=function (t,name,value)
log(name,g[name],value)
g[name]=value
end
setmetatable(getfenv(),{__index=g,__newindex=set})
end
-- an example
a=1
b=2
a=10
b=20
b=nil
b=200
print(a,b,c)

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-- hex dump
-- usage: lua xd.lua < file
local offset=0
while true do
local s=io.read(16)
if s==nil then return end
io.write(string.format("%08X ",offset))
string.gsub(s,"(.)",
function (c) io.write(string.format("%02X ",string.byte(c))) end)
io.write(string.rep(" ",3*(16-string.len(s))))
io.write(" ",string.gsub(s,"%c","."),"\n")
offset=offset+16
end