How to resolve the algorithm Execute a Markov algorithm step by step in the CLU programming language
How to resolve the algorithm Execute a Markov algorithm step by step in the CLU programming language
Table of Contents
Problem Statement
Create an interpreter for a Markov Algorithm.
Rules have the syntax:
There is one rule per line.
If there is a . (period) present before the
Rulesets Use the following tests on entries:
Sample text of: Should generate the output:
A test of the terminating rule Sample text of: Should generate:
This tests for correct substitution order and may trap simple regexp based replacement routines if special regexp characters are not escaped. Sample text of: Should generate:
This tests for correct order of scanning of rules, and may trap replacement routines that scan in the wrong order. It implements a general unary multiplication engine. (Note that the input expression must be placed within underscores in this implementation.) Sample text of: should generate the output:
A simple Turing machine, implementing a three-state busy beaver. The tape consists of 0s and 1s, the states are A, B, C and H (for Halt), and the head position is indicated by writing the state letter before the character where the head is. All parts of the initial tape the machine operates on have to be given in the input. Besides demonstrating that the Markov algorithm is Turing-complete, it also made me catch a bug in the C++ implementation which wasn't caught by the first four rulesets. This ruleset should turn into
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Execute a Markov algorithm step by step in the CLU programming language
Source code in the clu programming language
markov = cluster is make, run
rule = struct[from, to: string, term: bool]
rep = array[rule]
% Remove leading and trailing whitespace from a string
trim = proc (s: string) returns (string)
ac = array[char]
sc = sequence[char]
own ws: string := "\n\t "
a: ac := string$s2ac(s)
while ~ac$empty(a) cand string$indexc(ac$bottom(a), ws) ~= 0 do
ac$reml(a)
end
while ~ac$empty(a) cand string$indexc(ac$top(a), ws) ~= 0 do
ac$remh(a)
end
return(string$sc2s(sc$a2s(a)))
end trim
% Parse a single Markov rule
parse = proc (s: string) returns (rule) signals (comment, invalid(string))
if string$empty(s) cor s[1]='#' then signal comment end
arrow: int := string$indexs(" -> ", s)
if arrow=0 then signal invalid(s) end
left: string := trim(string$substr(s, 1, arrow-1))
right: string := trim(string$rest(s, arrow+4))
if ~string$empty(right) cand right[1] = '.' then
right := string$rest(right, 2)
return(rule${from: left, to: right, term: true})
else
return(rule${from: left, to: right, term: false})
end
end parse
% Add a rule to the list
add_rule = proc (m: cvt, s: string) signals (invalid(string))
rep$addh(m, parse(s)) resignal invalid
except when comment: end
end add_rule
% Read rules in sequence from a stream
add_rules = proc (m: cvt, s: stream) signals (invalid(string))
while true do
add_rule(up(m), stream$getl(s)) resignal invalid
except when end_of_file: break end
end
end add_rules
make = proc (s: stream) returns (cvt) signals (invalid(string))
a: rep := rep$new()
add_rules(up(a), s)
return(a)
end make
% Apply a rule to a string
apply_rule = proc (r: rule, s: string) returns (string) signals (no_match)
match: int := string$indexs(r.from, s)
if match = 0 then signal no_match end
new: string := string$substr(s, 1, match-1)
|| r.to
|| string$rest(s, match+string$size(r.from))
return(new)
end apply_rule
% Apply all rules to a string repeatedly
run = proc (c: cvt, s: string) returns (string)
i: int := 1
while i <= rep$high(c) do
r: rule := c[i]
begin
s := apply_rule(r, s)
i := 1
if r.term then break end
end except when no_match:
i := i+1
end
end
return(s)
end run
end markov
start_up = proc ()
po: stream := stream$primary_output()
eo: stream := stream$error_output()
begin
args: sequence[string] := get_argv()
file: string := args[1]
input: string := args[2]
fs: stream := stream$open(file_name$parse(file), "read")
mkv: markov := markov$make(fs)
stream$close(fs)
stream$putl(po, markov$run(mkv, input))
end except
when bounds: stream$putl(eo, "Arguments: markov [filename] [string]")
when not_possible(s: string): stream$putl(eo, "File error: " || s)
when invalid(s: string): stream$putl(eo, "Parse error: " || s)
end
end start_up
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