Data update

This commit is contained in:
Ingy döt Net 2026-04-30 12:34:36 -04:00
parent 4bb20c9b71
commit cbaf4c4b64
12390 changed files with 318560 additions and 27248 deletions

View file

@ -1,4 +1,4 @@
A [[wp:Truth table|truth table]] is a display of the inputs to, and the output of a Boolean function organized as a table where each row gives one combination of input values and the corresponding value of the function.
A [[wp:Truth rtable|truth table]] is a display of the inputs to, and the output of a Boolean function organized as a table where each row gives one combination of input values and the corresponding value of the function.
;Task:

View file

@ -0,0 +1,86 @@
record Op, name : Char, prio : Int32, assoc : Symbol, arity : Int32, eval : Bs -> Bool
def op (name, prio, assoc, arity, eval)
Op.new name, prio, assoc, arity, eval
end
alias Bs = Array(Bool)
OPS = {
'T' => op('T', 1, :left, 0, ->(p : Bs) { true }),
'F' => op('F', 1, :left, 0, ->(p : Bs) { false }),
'~' => op('~', 2, :right, 1, ->(p : Bs) { !p[0] }),
'&' => op('&', 3, :left, 2, ->(p : Bs) { p[0] && p[1] }),
'|' => op('|', 4, :left, 2, ->(p : Bs) { p[0] || p[1] }),
'^' => op('^', 4, :left, 2, ->(p : Bs) { p[0] != p[1] }),
'>' => op('>', 5, :left, 2, ->(p : Bs) { !p[0] || p[1] }),
'=' => op('=', 6, :left, 2, ->(p : Bs) { p[0] == p[1] }),
}
def to_rpn (string)
tokens = string.delete(' ').chars
output = [] of Char | Op
opstack = [] of Op
mark = op('x', -1, :none, 0, ->(p : Bs) { raise "?" })
tokens.each do |token|
if token == '('
opstack << mark
elsif token == ')'
while opstack.present? && opstack.last != mark
output << opstack.pop
end
opstack.pop
elsif opdata = OPS[token]?
while opstack.present? && OPS.has_key?(opstack.last.name) &&
(opdata.prio > opstack.last.prio ||
opdata.prio == opstack.last.prio && opdata.assoc == :left)
output << opstack.pop
end
opstack << opdata
else
raise "unknown symbol #{token}" unless token.letter?
output << token.downcase
end
end
while opstack.present?
output << opstack.pop
end
output
end
def eval (expr)
stack = [] of Bool
expr.each do |op|
if op.is_a? Op
params = stack.pop(op.arity)
stack.push op.eval[params]
else
stack.push op
end
end
stack.pop
end
puts <<-EOT
Enter Boolean expressions. Operators are:
= (eqv), > (impl), & (and), | (or), ^ (xor), ~ (not)
Constants are: T (true), F (false) (case is important!)
Variables are any letter (case isn't important, except for f and t)
EOT
loop do
print "expression> "
s = gets
break if s.nil? || s == ""
stack = to_rpn(s)
vars = stack.select(Char).uniq.sort
puts vars.join(" ") + " | " + s
puts "--" * vars.size + "+-" + "-" * s.size
Indexable.each_cartesian([[true, false]] * vars.size) do |bools|
print bools.map(&.to_s[0].upcase).join(" ")
vals = Hash.zip(vars, bools)
result = eval stack.map {|elt| elt.is_a?(Char) ? vals[elt] : elt }
puts " | #{result.to_s[0].upcase}"
end
end

View file

@ -0,0 +1,120 @@
global expr$ vars$[] vals[] stack[] .
#
func isop c$ .
return if strpos "&|!^" c$ > 0
.
func$ isvar c$ .
for i = 1 to len vars$[]
if vars$[i] = c$ : return 1
.
return 0
.
func varval c$ .
for i = 1 to len vars$[]
if vars$[i] = c$ : return vals[i]
.
return 0
.
proc push v .
stack[] &= v
.
func pop .
v = stack[$]
len stack[] (len stack[] - 1)
return v
.
func evalexpr .
len stack[] 0
for i = 1 to len expr$
c$ = substr expr$ i 1
if c$ = "T"
push 1
elif c$ = "F"
push 0
elif isvar c$ = 1
push varval c$
elif isop c$ = 1
a = pop
if c$ = "!"
push (1 - a)
elif c$ = "&"
b = pop
push (a * b)
elif c$ = "|"
b = pop
if a = 1 or b = 1 : push 1
if not (a = 1 or b = 1) : push 0
else
# ^
b = pop
push ((a + b) mod 2)
.
else
print "ERROR: syntax"
.
.
if len stack[] <> 1
print "ERROR: stack not single"
return 0
.
return stack[1]
.
proc setvars pos .
if pos > len vars$[]
line$ = ""
for i = 1 to len vars$[]
line$ &= substr "FT" (vals[i] + 1) 1 & " "
.
r = evalexpr
line$ &= substr "FT" (r + 1) 1
print line$
return
.
vals[pos] = 0
setvars pos + 1
vals[pos] = 1
setvars pos + 1
.
print "Enter postfix Boolean expressions."
print "Operators: & | ! ^"
print "Variables: single letters except T/F"
print "Empty line = exit"
repeat
write "\nBoolean expression: "
expr$ = input
until expr$ = ""
h$ = strjoin strtok expr$ " \t" ""
expr$ = ""
for c$ in strchars h$
c = strcode c$
if c >= 97 and c <= 122 : c$ = strchar (c - 32)
expr$ &= c$
.
vars$[] = [ ]
for i = 1 to len expr$
c$ = substr expr$ i 1
if isop c$ = 0
if c$ <> "T" and c$ <> "F" and isvar c$ = 0
vars$[] &= c$
.
.
.
if len vars$[] = 0
print "No variables; quitting."
break 1
.
len vals[] len vars$[]
head$ = ""
for i = 1 to len vars$[] : head$ &= vars$[i] & " "
head$ &= expr$
print ""
print head$
for i = 1 to len head$ : write "="
print ""
setvars 1
.
print ""
#
input_data
A B ^
A B C ^ |

View file

@ -1,188 +1,186 @@
(phixonline)-->
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">bFT</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">false</span> <span style="color: #000080;font-style:italic;">-- true: use F/T, false: use 0/1, as next</span>
with javascript_semantics
constant bFT = false -- true: use F/T, false: use 0/1, as next
<span style="color: #008080;">function</span> <span style="color: #000000;">fmt</span><span style="color: #0000FF;">(</span><span style="color: #004080;">bool</span> <span style="color: #000000;">b</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">return</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">bFT</span><span style="color: #0000FF;">?{</span><span style="color: #008000;">"F"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"T"</span><span style="color: #0000FF;">}:{</span><span style="color: #008000;">"0"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"1"</span><span style="color: #0000FF;">})[</span><span style="color: #000000;">b</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
function fmt(bool b)
return iff(bFT?{"F","T"}:{"0","1"})[b+1]
end function
<span style="color: #004080;">sequence</span> <span style="color: #000000;">opstack</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{}</span>
<span style="color: #004080;">object</span> <span style="color: #000000;">token</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">op</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span> <span style="color: #000080;font-style:italic;">-- 0 = none</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">s</span> <span style="color: #000080;font-style:italic;">-- the expression being parsed</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">sidx</span><span style="color: #0000FF;">,</span> <span style="color: #000080;font-style:italic;">-- idx to ""</span>
<span style="color: #000000;">ch</span> <span style="color: #000080;font-style:italic;">-- s[sidx]</span>
sequence opstack = {}
object token,
op = 0 -- 0 = none
string s -- the expression being parsed
integer sidx, -- idx to ""
ch -- s[sidx]
<span style="color: #008080;">procedure</span> <span style="color: #000000;">err</span><span style="color: #0000FF;">(</span><span style="color: #004080;">string</span> <span style="color: #000000;">msg</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"%s\n%s^ %s\n\nPressEnter..."</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">s</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #008000;">' '</span><span style="color: #0000FF;">,</span><span style="color: #000000;">sidx</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">),</span><span style="color: #000000;">msg</span><span style="color: #0000FF;">})</span>
<span style="color: #0000FF;">{}</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">wait_key</span><span style="color: #0000FF;">()</span>
<span style="color: #7060A8;">abort</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
procedure err(string msg)
printf(1,"%s\n%s^ %s\n\nPressEnter...",{s,repeat(' ',sidx-1),msg})
{} = wait_key()
abort(0)
end procedure
<span style="color: #008080;">procedure</span> <span style="color: #000000;">nxtch</span><span style="color: #0000FF;">()</span>
<span style="color: #000000;">sidx</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
<span style="color: #000000;">ch</span> <span style="color: #0000FF;">=</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sidx</span><span style="color: #0000FF;">></span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">)?-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">:</span><span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">sidx</span><span style="color: #0000FF;">])</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
procedure nxtch()
sidx += 1
ch = iff(sidx>length(s)?-1:s[sidx])
end procedure
<span style="color: #008080;">procedure</span> <span style="color: #000000;">skipspaces</span><span style="color: #0000FF;">()</span>
<span style="color: #008080;">while</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ch</span><span style="color: #0000FF;">,</span><span style="color: #008000;">" \t\r\n"</span><span style="color: #0000FF;">)!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">do</span> <span style="color: #000000;">nxtch</span><span style="color: #0000FF;">()</span> <span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
procedure skipspaces()
while find(ch," \t\r\n")!=0 do nxtch() end while
end procedure
<span style="color: #008080;">procedure</span> <span style="color: #000000;">get_token</span><span style="color: #0000FF;">()</span>
<span style="color: #000000;">skipspaces</span><span style="color: #0000FF;">()</span>
<span style="color: #008080;">if</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ch</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"()!"</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">token</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">sidx</span><span style="color: #0000FF;">..</span><span style="color: #000000;">sidx</span><span style="color: #0000FF;">]</span>
<span style="color: #000000;">nxtch</span><span style="color: #0000FF;">()</span>
<span style="color: #008080;">else</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">tokstart</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">sidx</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">ch</span><span style="color: #0000FF;">=-</span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span> <span style="color: #000000;">token</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">"eof"</span> <span style="color: #008080;">return</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">while</span> <span style="color: #000000;">1</span> <span style="color: #008080;">do</span>
<span style="color: #000000;">nxtch</span><span style="color: #0000FF;">()</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">ch</span><span style="color: #0000FF;"><</span><span style="color: #008000;">'A'</span> <span style="color: #008080;">then</span> <span style="color: #008080;">exit</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
<span style="color: #000000;">token</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">tokstart</span><span style="color: #0000FF;">..</span><span style="color: #000000;">sidx</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
procedure get_token()
skipspaces()
if find(ch,"()!") then
token = s[sidx..sidx]
nxtch()
else
integer tokstart = sidx
if ch=-1 then token = "eof" return end if
while 1 do
nxtch()
if ch<'A' then exit end if
end while
token = s[tokstart..sidx-1]
end if
end procedure
<span style="color: #008080;">procedure</span> <span style="color: #000000;">Match</span><span style="color: #0000FF;">(</span><span style="color: #004080;">string</span> <span style="color: #000000;">t</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">token</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">t</span> <span style="color: #008080;">then</span> <span style="color: #000000;">err</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">&</span><span style="color: #008000;">" expected"</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">get_token</span><span style="color: #0000FF;">()</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
procedure Match(string t)
if token!=t then err(t&" expected") end if
get_token()
end procedure
<span style="color: #008080;">procedure</span> <span style="color: #000000;">PopFactor</span><span style="color: #0000FF;">()</span>
<span style="color: #004080;">object</span> <span style="color: #000000;">p2</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">opstack</span><span style="color: #0000FF;">[$]</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">op</span><span style="color: #0000FF;">=</span><span style="color: #008000;">"not"</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">opstack</span><span style="color: #0000FF;">[$]</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">op</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p2</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">else</span>
<span style="color: #000000;">opstack</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">opstack</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">..$-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span>
<span style="color: #000000;">opstack</span><span style="color: #0000FF;">[$]</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">opstack</span><span style="color: #0000FF;">[$],</span><span style="color: #000000;">op</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p2</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">op</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
procedure PopFactor()
object p2 = opstack[$]
if op="not" then
opstack[$] = {0,op,p2}
else
opstack = opstack[1..$-1]
opstack[$] = {opstack[$],op,p2}
end if
op = 0
end procedure
<span style="color: #004080;">sequence</span> <span style="color: #000000;">names</span><span style="color: #0000FF;">,</span> <span style="color: #000080;font-style:italic;">-- {"false","true",...}</span>
<span style="color: #000000;">flags</span> <span style="color: #000080;font-style:italic;">-- { 0, 1, ,...}</span>
sequence names, -- {"false","true",...}
flags -- { 0, 1, ,...}
<span style="color: #008080;">procedure</span> <span style="color: #000000;">PushFactor</span><span style="color: #0000FF;">(</span><span style="color: #004080;">string</span> <span style="color: #000000;">t</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">op</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span> <span style="color: #000000;">PopFactor</span><span style="color: #0000FF;">()</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span><span style="color: #000000;">names</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">names</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">names</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">names</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">opstack</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">opstack</span><span style="color: #0000FF;">,</span><span style="color: #000000;">k</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
procedure PushFactor(string t)
if op!=0 then PopFactor() end if
integer k = find(t,names)
if k=0 then
names = append(names,t)
k = length(names)
end if
opstack = append(opstack,k)
end procedure
<span style="color: #008080;">procedure</span> <span style="color: #000000;">PushOp</span><span style="color: #0000FF;">(</span><span style="color: #004080;">string</span> <span style="color: #000000;">t</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">op</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span> <span style="color: #000000;">PopFactor</span><span style="color: #0000FF;">()</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">op</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">t</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
procedure PushOp(string t)
if op!=0 then PopFactor() end if
op = t
end procedure
<span style="color: #008080;">forward</span> <span style="color: #008080;">procedure</span> <span style="color: #000000;">Expr</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">p</span><span style="color: #0000FF;">)</span>
forward procedure Expr(integer p)
<span style="color: #008080;">procedure</span> <span style="color: #000000;">Factor</span><span style="color: #0000FF;">()</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">token</span><span style="color: #0000FF;">=</span><span style="color: #008000;">"not"</span>
<span style="color: #008080;">or</span> <span style="color: #000000;">token</span><span style="color: #0000FF;">=</span><span style="color: #008000;">"!"</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">get_token</span><span style="color: #0000FF;">()</span>
<span style="color: #000000;">Factor</span><span style="color: #0000FF;">()</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">op</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span> <span style="color: #000000;">PopFactor</span><span style="color: #0000FF;">()</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">PushOp</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"not"</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">elsif</span> <span style="color: #000000;">token</span><span style="color: #0000FF;">=</span><span style="color: #008000;">"("</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">get_token</span><span style="color: #0000FF;">()</span>
<span style="color: #000000;">Expr</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">Match</span><span style="color: #0000FF;">(</span><span style="color: #008000;">")"</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">elsif</span> <span style="color: #008080;">not</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #000000;">token</span><span style="color: #0000FF;">,{</span><span style="color: #008000;">"and"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"or"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"xor"</span><span style="color: #0000FF;">})</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">PushFactor</span><span style="color: #0000FF;">(</span><span style="color: #000000;">token</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">ch</span><span style="color: #0000FF;">!=-</span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">get_token</span><span style="color: #0000FF;">()</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">else</span>
<span style="color: #000000;">err</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"syntax error"</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
procedure Factor()
if token="not"
or token="!" then
get_token()
Factor()
if op!=0 then PopFactor() end if
PushOp("not")
elsif token="(" then
get_token()
Expr(0)
Match(")")
elsif not find(token,{"and","or","xor"}) then
PushFactor(token)
if ch!=-1 then
get_token()
end if
else
err("syntax error")
end if
end procedure
<span style="color: #008080;">constant</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">operators</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">precedence</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">columnize</span><span style="color: #0000FF;">({{</span><span style="color: #008000;">"not"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">6</span><span style="color: #0000FF;">},</span>
<span style="color: #0000FF;">{</span><span style="color: #008000;">"and"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">},</span>
<span style="color: #0000FF;">{</span><span style="color: #008000;">"xor"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">4</span><span style="color: #0000FF;">},</span>
<span style="color: #0000FF;">{</span><span style="color: #008000;">"or"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">3</span><span style="color: #0000FF;">}})</span>
<span style="color: #008080;">procedure</span> <span style="color: #000000;">Expr</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">p</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">Factor</span><span style="color: #0000FF;">()</span>
<span style="color: #008080;">while</span> <span style="color: #000000;">1</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #000000;">token</span><span style="color: #0000FF;">,</span><span style="color: #000000;">operators</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span> <span style="color: #008080;">exit</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">thisp</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">precedence</span><span style="color: #0000FF;">[</span><span style="color: #000000;">k</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">thisp</span><span style="color: #0000FF;"><</span><span style="color: #000000;">p</span> <span style="color: #008080;">then</span> <span style="color: #008080;">exit</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">get_token</span><span style="color: #0000FF;">()</span>
<span style="color: #000000;">Expr</span><span style="color: #0000FF;">(</span><span style="color: #000000;">thisp</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">PushOp</span><span style="color: #0000FF;">(</span><span style="color: #000000;">operators</span><span style="color: #0000FF;">[</span><span style="color: #000000;">k</span><span style="color: #0000FF;">])</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
constant {operators,
precedence} = columnize({{"not",6},
{"and",5},
{"xor",4},
{"or",3}})
procedure Expr(integer p)
Factor()
while 1 do
integer k = find(token,operators)
if k=0 then exit end if
integer thisp = precedence[k]
if thisp<p then exit end if
get_token()
Expr(thisp)
PushOp(operators[k])
end while
end procedure
<span style="color: #008080;">function</span> <span style="color: #000000;">evaluate</span><span style="color: #0000FF;">(</span><span style="color: #004080;">object</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #004080;">atom</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">>=</span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span> <span style="color: #000000;">s</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">flags</span><span style="color: #0000FF;">[</span><span style="color: #000000;">s</span><span style="color: #0000FF;">]</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">s</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #004080;">object</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">lhs</span><span style="color: #0000FF;">,</span><span style="color: #000000;">op</span><span style="color: #0000FF;">,</span><span style="color: #000000;">rhs</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">s</span>
<span style="color: #000000;">lhs</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">evaluate</span><span style="color: #0000FF;">(</span><span style="color: #000000;">lhs</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">rhs</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">evaluate</span><span style="color: #0000FF;">(</span><span style="color: #000000;">rhs</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">op</span><span style="color: #0000FF;">=</span><span style="color: #008000;">"and"</span> <span style="color: #008080;">then</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">lhs</span> <span style="color: #008080;">and</span> <span style="color: #000000;">rhs</span>
<span style="color: #008080;">elsif</span> <span style="color: #000000;">op</span><span style="color: #0000FF;">=</span><span style="color: #008000;">"or"</span> <span style="color: #008080;">then</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">lhs</span> <span style="color: #008080;">or</span> <span style="color: #000000;">rhs</span>
<span style="color: #008080;">elsif</span> <span style="color: #000000;">op</span><span style="color: #0000FF;">=</span><span style="color: #008000;">"xor"</span> <span style="color: #008080;">then</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">lhs</span> <span style="color: #008080;">xor</span> <span style="color: #000000;">rhs</span>
<span style="color: #008080;">elsif</span> <span style="color: #000000;">op</span><span style="color: #0000FF;">=</span><span style="color: #008000;">"not"</span> <span style="color: #008080;">then</span>
<span style="color: #008080;">return</span> <span style="color: #008080;">not</span> <span style="color: #000000;">rhs</span>
<span style="color: #008080;">else</span>
<span style="color: #0000FF;">?</span><span style="color: #000000;">9</span><span style="color: #0000FF;">/</span><span style="color: #000000;">0</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
function evaluate(object s)
if atom(s) then
if s>=1 then s = flags[s] end if
return s
end if
object {lhs,op,rhs} = s
lhs = evaluate(lhs)
rhs = evaluate(rhs)
if op="and" then
return lhs and rhs
elsif op="or" then
return lhs or rhs
elsif op="xor" then
return lhs xor rhs
elsif op="not" then
return not rhs
else
?9/0
end if
end function
<span style="color: #008080;">function</span> <span style="color: #000000;">next_comb</span><span style="color: #0000FF;">()</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">fdx</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">flags</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">while</span> <span style="color: #000000;">flags</span><span style="color: #0000FF;">[</span><span style="color: #000000;">fdx</span><span style="color: #0000FF;">]=</span><span style="color: #000000;">1</span> <span style="color: #008080;">do</span>
<span style="color: #000000;">flags</span><span style="color: #0000FF;">[</span><span style="color: #000000;">fdx</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #000000;">fdx</span> <span style="color: #0000FF;">-=</span> <span style="color: #000000;">1</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">fdx</span><span style="color: #0000FF;"><=</span><span style="color: #000000;">2</span> <span style="color: #008080;">then</span> <span style="color: #008080;">return</span> <span style="color: #004600;">false</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span> <span style="color: #000080;font-style:italic;">-- all done</span>
<span style="color: #000000;">flags</span><span style="color: #0000FF;">[</span><span style="color: #000000;">fdx</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span>
<span style="color: #008080;">return</span> <span style="color: #004600;">true</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
function next_comb()
integer fdx = length(flags)
while flags[fdx]=1 do
flags[fdx] = 0
fdx -= 1
end while
if fdx<=2 then return false end if -- all done
flags[fdx] = 1
return true
end function
<span style="color: #008080;">procedure</span> <span style="color: #000000;">test</span><span style="color: #0000FF;">(</span><span style="color: #004080;">string</span> <span style="color: #000000;">expr</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">opstack</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{}</span>
<span style="color: #000000;">op</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #000000;">names</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #008000;">"false"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"true"</span><span style="color: #0000FF;">}</span>
<span style="color: #000000;">s</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">expr</span>
<span style="color: #000000;">sidx</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #000000;">nxtch</span><span style="color: #0000FF;">()</span>
<span style="color: #000000;">get_token</span><span style="color: #0000FF;">()</span>
<span style="color: #000000;">Expr</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">op</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span> <span style="color: #000000;">PopFactor</span><span style="color: #0000FF;">()</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">if</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">opstack</span><span style="color: #0000FF;">)!=</span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span> <span style="color: #000000;">err</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"some error"</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">flags</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">names</span><span style="color: #0000FF;">))</span>
<span style="color: #000000;">flags</span><span style="color: #0000FF;">[</span><span style="color: #000000;">2</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span> <span style="color: #000080;font-style:italic;">-- set "true" true</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"%s %s\n"</span><span style="color: #0000FF;">,{</span><span style="color: #7060A8;">join</span><span style="color: #0000FF;">(</span><span style="color: #000000;">names</span><span style="color: #0000FF;">[</span><span style="color: #000000;">3</span><span style="color: #0000FF;">..$]),</span><span style="color: #000000;">s</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">while</span> <span style="color: #000000;">1</span> <span style="color: #008080;">do</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">3</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">flags</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span> <span style="color: #000080;font-style:italic;">-- (skipping true&false)</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"%s%s"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">fmt</span><span style="color: #0000FF;">(</span><span style="color: #000000;">flags</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]),</span><span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #008000;">' '</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">names</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]))})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">" %s\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">fmt</span><span style="color: #0000FF;">(</span><span style="color: #000000;">evaluate</span><span style="color: #0000FF;">(</span><span style="color: #000000;">opstack</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]))})</span>
<span style="color: #008080;">if</span> <span style="color: #008080;">not</span> <span style="color: #000000;">next_comb</span><span style="color: #0000FF;">()</span> <span style="color: #008080;">then</span> <span style="color: #008080;">exit</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
<span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"\n"</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
procedure test(string expr)
opstack = {}
op = 0
names = {"false","true"}
s = expr
sidx = 0
nxtch()
get_token()
Expr(0)
if op!=0 then PopFactor() end if
if length(opstack)!=1 then err("some error") end if
flags = repeat(0,length(names))
flags[2] = 1 -- set "true" true
printf(1,"%s %s\n",{join(names[3..$]),s})
while 1 do
for i=3 to length(flags) do -- (skipping true&false)
printf(1,"%s%s",{fmt(flags[i]),repeat(' ',length(names[i]))})
end for
printf(1," %s\n",{fmt(evaluate(opstack[1]))})
if not next_comb() then exit end if
end while
puts(1,"\n")
end procedure
<span style="color: #000000;">test</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"young and not (ugly or poor)"</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #7060A8;">platform</span><span style="color: #0000FF;">()!=</span><span style="color: #004600;">JS</span> <span style="color: #008080;">then</span> <span style="color: #000080;font-style:italic;">-- (no gets(0) in a browser)</span>
<span style="color: #008080;">while</span> <span style="color: #000000;">1</span> <span style="color: #008080;">do</span>
<span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"input expression:"</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">t</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">trim</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">gets</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">))</span>
<span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"\n"</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">t</span><span style="color: #0000FF;">=</span><span style="color: #008000;">""</span> <span style="color: #008080;">then</span> <span style="color: #008080;">exit</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">test</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<!--
test("young and not (ugly or poor)")
if platform()!=JS then -- (no gets(0) in a browser)
while 1 do
puts(1,"input expression:")
string t = trim(gets(0))
puts(1,"\n")
if t="" then exit end if
test(t)
end while
end if

View file

@ -0,0 +1,84 @@
require "queue"
require "io2"
class Variable
function __construct(public name, public value) end
end
-- Use integer constants as bools don't support bitwise operators.
local FALSE = 0
local TRUE = 1
local expr = ""
local variables = {}
local is_operator = |op| -> op in "&|!~"
local is_variable = |s| -> variables:mapped(|v| -> v.name):contains(s)
local function eval_expression()
local stk = new stack()
for expr:split("") as e do
local v
if (e == "T") then
v = TRUE
elseif e == "F" then
v = FALSE
elseif is_variable(e) then
local vs = variables:filtered(|va| -> va.name == e):reorder()
assert(#vs == 1, $"Can only be one variable with name {e}.")
v = vs[1].value
elseif e == "&" then
v = stk:pop() & stk:pop()
elseif e == "|" then
v = stk:pop() | stk:pop()
elseif e == "!" then
v = (stk:pop() == TRUE) ? FALSE : TRUE
elseif e == "~" then
v = stk:pop() ~ stk:pop()
else
Fiber.abort($"Non-conformant character {e} in expression.")
end
stk:push(v)
end
assert(stk:size() == 1, "Something went wrong!")
return stk:peek()
end
local function set_variables(pos)
local vc = #variables
assert(pos <= vc, $"Argument cannot exceed {vc}.")
if pos == vc then
local vs = variables:mapped(|v| -> (v.value == TRUE) ? "T" : "F")
local es = eval_expression() == TRUE ? "T" : "F"
print($"{vs:concat(" ")} {es}")
return
end
variables[pos + 1].value = FALSE
set_variables(pos + 1)
variables[pos + 1].value = TRUE
set_variables(pos + 1)
end
print("Accepts single-character variables (except for 'T' and 'F',")
print("which specify explicit true or false values), postfix, with")
print("&|!~ for and, or, not, xor, respectively; optionally")
print("seperated by spaces or tabs. Just enter nothing to quit.")
while true do
expr = io.readStr("\nBoolean expression: ")
if expr == "" then break end
expr = expr:upper():replace(" ", ""):replace("\t", "")
variables:clear()
for expr:split("") as e do
if !is_operator(e) and !"TF":contains(e) and !is_variable(e) then
variables:insert(new Variable(e, FALSE))
end
end
if #variables == 0 then break end
local vs = variables:mapped(|v| -> v.name):concat(" ")
print($"\n{vs} {expr}")
local h = #vs + #expr + 2
print(string.rep("=", h))
set_variables(0)
end

View file

@ -0,0 +1,26 @@
load "stdlib.ring"
table1 = "A or B"
table2 = "A and B"
vars = ["A", "B"]
see table1 + nl
see "A | B | Output" + nl
see "----------" + nl
result("A","B",table1)
see nl+table2 + nl
see "A | B | Output" + nl
see "----------" + nl
result("A","B",table2)
func result(A,B,table)
for a_res = 0 to 1
for b_res = 0 to 1
A = a_res
B = b_res
output = eval("return " + table)
see "" + A + " | " + B + " | " + output + nl
next
next