1 | package agents.anac.y2015.Phoenix.GP;/* This file is part of the jgpml Project.
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2 | * http://github.com/renzodenardi/jgpml
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3 | *
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4 | * Copyright (c) 2011 Renzo De Nardi and Hugo Gravato-Marques
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5 | *
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6 | * Permission is hereby granted, free of charge, to any person
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7 | * obtaining a copy of this software and associated documentation
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8 | * files (the "Software"), to deal in the Software without
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9 | * restriction, including without limitation the rights to use,
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10 | * copy, modify, merge, publish, distribute, sublicense, and/or sell
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11 | * copies of the Software, and to permit persons to whom the
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12 | * Software is furnished to do so, subject to the following
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13 | * conditions:
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14 | *
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15 | * The above copyright notice and this permission notice shall be
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16 | * included in all copies or substantial portions of the Software.
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17 | *
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18 | * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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19 | * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
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20 | * OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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21 | * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
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22 | * HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
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23 | * WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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24 | * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
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25 | * OTHER DEALINGS IN THE SOFTWARE.
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26 | */
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27 |
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28 | import agents.Jama.Matrix;
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29 |
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30 | /**
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31 | * Some useful operations defined over Matrices
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32 | */
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33 | public class MatrixOperations {
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34 |
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35 |
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36 | /**
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37 | * Computes the exponential of the input <code>Matrix</code>
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38 | * @param A input <code>Matrix</code>
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39 | * @return exp(A) result
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40 | */
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41 | public static Matrix exp(Matrix A){
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42 |
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43 | Matrix out = new Matrix(A.getRowDimension(),A.getColumnDimension());
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44 | for(int i=0; i<A.getRowDimension(); i++)
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45 | for(int j=0; j<A.getColumnDimension(); j++)
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46 | out.set(i,j,Math.exp(A.get(i,j)));
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47 |
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48 | return out;
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49 | }
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50 |
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51 | /**
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52 | * Sums across the rows of the <code>Matrix</code> and return the result as a single column <code>MAtrix</code>
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53 | * @param A input <code>Matrix</code>
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54 | * @return result
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55 | */
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56 |
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57 | public static Matrix sumRows(Matrix A){
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58 | Matrix sum = new Matrix(A.getRowDimension(),1);
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59 | for(int i=0; i<A.getColumnDimension(); i++)
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60 | sum.plusEquals(A.getMatrix(0,A.getRowDimension()-1,i,i));
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61 | return sum;
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62 | }
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63 |
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64 |
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65 | /**
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66 | * Adds a value to each elemnts of the <code>Matrix</code>
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67 | * @param A <code>Matrix</code>
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68 | * @param val value to be added
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69 | * @return result
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70 | */
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71 | public static Matrix addValue(Matrix A,double val){
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72 | for(int i=0; i<A.getRowDimension(); i++)
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73 | for(int j=0; j<A.getColumnDimension(); j++)
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74 | A.set(i,j,A.get(i,j)+val);
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75 |
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76 | return A;
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77 | }
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78 |
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79 | /**
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80 | * Computes the arcsin of the input <code>Matrix</code> (element by element)
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81 | * @param A input <code>Matrix</code>
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82 | * @return asin(A) result
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83 | */
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84 | public static Matrix asin(Matrix A){
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85 |
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86 | Matrix out = new Matrix(A.getRowDimension(),A.getColumnDimension());
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87 | for(int i=0; i<A.getRowDimension(); i++)
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88 | for(int j=0; j<A.getColumnDimension(); j++)
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89 | out.set(i,j,Math.asin(A.get(i,j)));
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90 |
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91 | return out;
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92 | }
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93 |
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94 | /**
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95 | * Computes the square root of the input <code>Matrix</code> (element by element)
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96 | * @param A input <code>Matrix</code>
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97 | * @return sqrt(A) result
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98 | */
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99 | public static Matrix sqrt(Matrix A){
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100 |
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101 | Matrix out = new Matrix(A.getRowDimension(),A.getColumnDimension());
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102 | for(int i=0; i<A.getRowDimension(); i++)
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103 | for(int j=0; j<A.getColumnDimension(); j++)
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104 | out.set(i,j,Math.sqrt(A.get(i,j)));
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105 |
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106 | return out;
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107 | }
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108 |
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109 | /**
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110 | * If the argument is a row or column <code>Matrix</code> it returns a new diagonal <code>Matrix</code>
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111 | * with the input as diagonal elements.
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112 | * If the argument is a <code>Matrix</code> it returns the diagonal elements as a single column <code>Matrix</code>
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113 | * Is a clone of the Matlab's function diag(A)
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114 | * @param A input <code>Matrix</code>
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115 | * @return diag(A) result
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116 | */
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117 | public static Matrix diag(Matrix A){
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118 | Matrix diag =null;
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119 | if(A.getColumnDimension()==1 || A.getRowDimension()==1){
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120 | if(A.getColumnDimension()==1) {
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121 | diag = new Matrix(A.getRowDimension(),A.getRowDimension());
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122 | for(int i=0; i<diag.getColumnDimension(); i++)
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123 | diag.set(i,i,A.get(i,0));
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124 | } else {
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125 | diag = new Matrix(A.getColumnDimension(),A.getColumnDimension());
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126 | for(int i=0; i<diag.getRowDimension(); i++)
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127 | diag.set(i,i,A.get(0,i));
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128 | }
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129 | } else {
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130 |
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131 | diag = new Matrix(A.getRowDimension(),1);
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132 | for(int i=0; i<diag.getRowDimension(); i++)
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133 | diag.set(i,0,A.get(i,i));
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134 | }
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135 |
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136 | return diag;
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137 | }
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138 |
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139 |
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140 | public static Matrix mean(Matrix A){
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141 |
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142 | if(A.getRowDimension()==1) {
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143 | double m = 0;
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144 | for(int i=0; i<A.getColumnDimension(); i++) m+=A.get(0,i);
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145 |
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146 | Matrix M = new Matrix(1,1);
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147 | M.set(0,0,m/A.getColumnDimension());
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148 | return M;
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149 | } else {
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150 | Matrix M = new Matrix(1,A.getColumnDimension());
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151 | for(int i=0; i<A.getColumnDimension(); i++){
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152 | double m=0;
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153 | for(int j=0; j<A.getRowDimension(); j++){
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154 | m+=A.get(j,i);
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155 | }
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156 | M.set(0,i,m/A.getRowDimension());
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157 | }
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158 | return M;
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159 | }
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160 | }
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161 |
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162 | public static Matrix std(Matrix A){
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163 |
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164 | if(A.getRowDimension()==1) {
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165 | double m = 0; double var=0;
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166 | for(int i=0; i<A.getColumnDimension(); i++){
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167 | m = (m*(i-1) + A.get(0,i))/i;
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168 | var = var*(i-1)/i + ((A.get(0,i)-m)*(A.get(0,i)-m))/(i-1);
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169 | }
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170 | Matrix M = new Matrix(1,1);
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171 | M.set(0,0,Math.sqrt(var));
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172 | return M;
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173 | } else {
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174 | Matrix M = new Matrix(1,A.getColumnDimension());
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175 | for(int i=0; i<A.getColumnDimension(); i++){
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176 | double m=0; double var=0;
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177 | for(int j=0; j<A.getRowDimension(); j++){
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178 | m = (m*(j-1) + A.get(j,i))/j;
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179 | var = var*(j-1)/j + ((A.get(j,i)-m)*(A.get(j,i)-m))/(j-1);
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180 | }
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181 | M.set(0,i,Math.sqrt(var));
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182 | }
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183 | return M;
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184 | }
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185 | }
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186 |
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187 |
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188 |
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189 | }
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190 |
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