summaryrefslogtreecommitdiff
path: root/data/rbot/plugins/math.rb
blob: f54733b33c0435e3e6a0d2ebd32a5e70f422b407 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
class MathPlugin < Plugin
  @@digits = {
     "first" => "1",
     "second" => "2",
     "third" => "3",
     "fourth" => "4",
     "fifth" => "5",
     "sixth" => "6",
     "seventh" => "7",
     "eighth" => "8",
     "ninth" => "9",
     "tenth" => "10",
     "one" => "1",
     "two" => "2",
     "three" => "3",
     "four" => "4",
     "five" => "5",
     "six" => "6",
     "seven" => "7",
     "eight" => "8",
     "nine" => "9",
     "ten" => "10"
  };

  def name
    "math"
  end
  def help(plugin, topic="")
    "math <expression>, evaluate mathematical expression"
  end
  def privmsg(m)
    unless(m.params)
      m.reply "incorrect usage: " + help(m.plugin)
      return
    end

    expr = m.params.dup
    @@digits.each {|k,v|
      expr.gsub!(/\b#{k}\b/, v)
    }

    while expr =~ /(exp ([\w\d]+))/
      exp = $1
      val = Math.exp($2).to_s
      expr.gsub!(/#{Regexp.escape exp}/, "+#{val}")
    end
    
    while expr =~ /^\s*(dec2hex\s*(\d+))\s*\?*/
      exp = $1
      val = sprintf("%x", $2)
      expr.gsub!(/#{Regexp.escape exp}/, "+#{val}")
    end

    expr.gsub(/\be\b/, Math.exp(1).to_s)

    while expr =~ /(log\s*((\d+\.?\d*)|\d*\.?\d+))\s*/
      exp = $1
      res = $2
      
      if res == 0
        val = "Infinity"
      else
        val = Math.log(res).to_s
      end
      
      expr.gsub!(/#{Regexp.escape exp}/, "+#{val}")
    end

    while expr =~ /(bin2dec ([01]+))/
      exp = $1
      val = join('', unpack('B*', pack('N', $2)))
      val.gsub!(/^0+/, "")
      expr.gsub!(/#{Regexp.escape exp}/, "+#{val}")
    end

    expr.gsub!(/ to the power of /, " ** ")
    expr.gsub!(/ to the /, " ** ")
    expr.gsub!(/\btimes\b/, "*")
    expr.gsub!(/\bdiv(ided by)? /, "/ ")
    expr.gsub!(/\bover /, "/ ")
    expr.gsub!(/\bsquared/, "**2 ")
    expr.gsub!(/\bcubed/, "**3 ")
    expr.gsub!(/\bto\s+(\d+)(r?st|nd|rd|th)?( power)?/, '**\1 ')
    expr.gsub!(/\bpercent of/, "*0.01*")
    expr.gsub!(/\bpercent/, "*0.01")
    expr.gsub!(/\% of\b/, "*0.01*")
    expr.gsub!(/\%/, "*0.01")
    expr.gsub!(/\bsquare root of (\d+(\.\d+)?)/, '\1 ** 0.5 ')
    expr.gsub!(/\bcubed? root of (\d+(\.\d+)?)/, '\1 **(1.0/3.0) ')
    expr.gsub!(/ of /, " * ")
    expr.gsub!(/(bit(-| )?)?xor(\'?e?d( with))?/, "^")
    expr.gsub!(/(bit(-| )?)?or(\'?e?d( with))?/, "|")
    expr.gsub!(/bit(-| )?and(\'?e?d( with))?/, "& ")
    expr.gsub!(/(plus|and)/, "+")

    debug expr
    if (expr =~ /^\s*[-\d*+\s()\/^\.\|\&\*\!]+\s*$/ &&
       expr !~ /^\s*\(?\d+\.?\d*\)?\s*$/ &&
       expr !~ /^\s*$/ &&
       expr !~ /^\s*[( )]+\s*$/)

       begin
         debug "evaluating expression \"#{expr}\""
         answer = eval(expr)
         if answer =~ /^[-+\de\.]+$/
           answer = sprintf("%1.12f", answer)
           answer.gsub!(/\.?0+$/, "")
           answer.gsub!(/(\.\d+)000\d+/, '\1')
           if (answer.length > 30)
             answer = "a number with >30 digits..."
           end
         end
         m.reply answer
       rescue Exception => e
         error "couldn't evaluate expression \"#{m.params}\": #{e.inspect}"
         m.reply "illegal expression \"#{m.params}\""
         return
       end
    else
      m.reply "illegal expression \"#{m.params}\""
      return
    end
  end
end
plugin = MathPlugin.new
plugin.register("math")
plugin.register("maths")