[1] | 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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