# Class: Matrix

Inherits:
Object
• Object
show all
Includes:
Enumerable
Defined in:
lib/TrueSkill/Mathematics/matrix.rb

## Constructor Details

### #initialize(src = nil, width = nil, height = nil, options = {}) ⇒ Matrix

Returns a new instance of Matrix

 ``` 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``` ```# File 'lib/TrueSkill/Mathematics/matrix.rb', line 6 def initialize(src=nil,width=nil,height=nil,options={}) if options.include? :func f,src=options[:func],{} @size=[width,height] if width.nil? @size[0]=Proc.new do |w| @size[0]=w end end if height.nil? @size[1]=Proc.new do |h| @size[1]=h end end arr=Array(f.call(@size[0],@size[1])) #pp arr arr.each do|v,val| src[[v[0],v[1]]]=val end width=@size[0] height=@size[1] end if src.is_a? Array unique_col_sizes=Set.new(src.map { |x| x.length }) if not unique_col_sizes.length==1 raise "Must be a rectangular range of numbers" end num=true src.flatten.each { |x| if not x.is_a? Numeric then num=false end } if num==false raise "Must be a rectangular range of numbers" end two_dimensional_array=src elsif src.is_a? Hash if width.nil? or height.nil? w,h=0,0 src.each_key do |x| r=x[0] c=x[1] if width.nil? w=[w,r+1].max end if height.nil? h=[h,c+1].max end end if width.nil? width=w end if height.nil? height=h end end two_dimensional_array=[] (0...height).each do |r| row=[] (0...width).each do |c| if src.include? [r,c] val=src[[r,c]] else val=0 end row << val end two_dimensional_array << row end end @base=two_dimensional_array end```

## Instance Method Details

### #*(other) ⇒ Object

 ``` 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246``` ```# File 'lib/TrueSkill/Mathematics/matrix.rb', line 214 def *(other) if other.is_a? Matrix w,h=other.width,height #pp w #pp h #pp other.width #pp other.height if not width== other.height raise "Must be same size" end src={} (0...h).each do |r| (0...w).each do |c| lst=[] #pp r #pp c (0...width).each { |x| lst << (self[r,x] * other[x,c])} src[[r,c]]=lst.inject(:+) end end return Matrix.new(src,w,h) else w,h=width,height src={} (0...h).each do |r| (0...w).each do |c| src[[r,c]]=other*self[r,c] end end return Matrix.new(src,w,h) end end```

### #+(other) ⇒ Object

 ``` 200 201 202 203 204 205 206 207 208 209 210 211 212``` ```# File 'lib/TrueSkill/Mathematics/matrix.rb', line 200 def +(other) w,h=width,height if not (w== other.width and h==other.height) raise "Must be same size" end src={} (0...h).each do |r| (0...w).each do |c| src[[r,c]]=self[r,c]+other[r,c] end end return Matrix.new(src,w,h) end```

### #[](r, c) ⇒ Object

 ``` 86 87 88``` ```# File 'lib/TrueSkill/Mathematics/matrix.rb', line 86 def [](r,c) return @base[r][c] end```

### #[]=(r, c, val) ⇒ Object

 ``` 89 90 91``` ```# File 'lib/TrueSkill/Mathematics/matrix.rb', line 89 def []=(r,c,val) @base[r][c]=val end```

 ``` 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185``` ```# File 'lib/TrueSkill/Mathematics/matrix.rb', line 164 def adjucate w,h=width,height if h==2 a,b=self[0,0],self[0,1] c,d=self[1,0],self[1,1] return Matrix.new([[d,-b],[-c,a]]) else src={} (0...height).each do |r| (0...width).each do |c| v=0 if (r+c) % 2==1 v=-1 else v=1 end src[[r,c]]=self.minor(r,c).determinant*v end end return Matrix.new(src,w,h) end end```

### #clone ⇒ Object

 ``` 247 248 249 250 251 252 253``` ```# File 'lib/TrueSkill/Mathematics/matrix.rb', line 247 def clone rows=[] @base.each do |x| rows << x.clone end Matrix.new(rows) end```

### #coerce(other) ⇒ Object

 ``` 196 197 198``` ```# File 'lib/TrueSkill/Mathematics/matrix.rb', line 196 def coerce(other) return self, other end```

### #determinant ⇒ Object

 ``` 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162``` ```# File 'lib/TrueSkill/Mathematics/matrix.rb', line 130 def determinant w,h=width,height if not w==h raise "Must be a square matrix" end tmp,rv=self.clone,1 (w-1).downto(1) do |c| p=[] (0..c).each {|r| p << [tmp[r,c].abs,r]} pivot,r=p.max pivot=tmp[r,c] if pivot.nil? return 0 end val=tmp.row(r) tmp.setrow(r,tmp.row(c)) tmp.setrow(c,val) if not r==c rv=-rv end rv*=pivot fact=-1.0/pivot (0...c).each do |r| f=fact*tmp[r,c] (0...c).each do |x| tmp[r,x]+=f*tmp[c,x] end end end return rv*tmp[0,0] end```

### #each(&block) ⇒ Object

 ``` 83 84 85``` ```# File 'lib/TrueSkill/Mathematics/matrix.rb', line 83 def each(&block) return end```

### #height ⇒ Object

 ``` 80 81 82``` ```# File 'lib/TrueSkill/Mathematics/matrix.rb', line 80 def height return @base.length end```

### #inverse ⇒ Object

 ``` 187 188 189 190 191 192 193``` ```# File 'lib/TrueSkill/Mathematics/matrix.rb', line 187 def inverse if width==1 and height==1 return Matrix.new([[1.0/self[0,0]]]) else return (1.0/self.determinant())*self.adjucate() end end```

### #minor(row_n, col_n) ⇒ Object

 ``` 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123``` ```# File 'lib/TrueSkill/Mathematics/matrix.rb', line 103 def minor(row_n,col_n) w,h=width,height if row_n < 0 or row_n >= w or col_n < 0 or col_n >= h raise 'invalid row or column number' end two_dimensional_array=[] (0...h).each do |r| if r==row_n next end row=[] (0...w).each do |c| if c==col_n next end row << @base[r][c] end two_dimensional_array << row end return Matrix.new(two_dimensional_array) end```

### #row(r) ⇒ Object

 ``` 124 125 126``` ```# File 'lib/TrueSkill/Mathematics/matrix.rb', line 124 def row(r) @base[r] end```

### #setrow(r, val) ⇒ Object

 ``` 127 128 129``` ```# File 'lib/TrueSkill/Mathematics/matrix.rb', line 127 def setrow(r,val) @base[r]=val end```

### #transpose ⇒ Object

 ``` 93 94 95 96 97 98 99 100 101 102``` ```# File 'lib/TrueSkill/Mathematics/matrix.rb', line 93 def transpose w,h=width,height src={} (0...w).each do |c| (0...h).each do |r| src[[c,r]]=@base[r][c] end end return Matrix.new(src,h,w) end```

### #width ⇒ Object

 ``` 76 77 78``` ```# File 'lib/TrueSkill/Mathematics/matrix.rb', line 76 def width return @base[0].length end```