1 | !********************************************************************** |
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2 | ! Copyright 1998,1999,2000,2001,2002,2005,2007,2008,2009,2010 * |
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3 | ! Andreas Stohl, Petra Seibert, A. Frank, Gerhard Wotawa, * |
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4 | ! Caroline Forster, Sabine Eckhardt, John Burkhart, Harald Sodemann * |
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5 | ! * |
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6 | ! This file is part of FLEXPART. * |
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7 | ! * |
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8 | ! FLEXPART is free software: you can redistribute it and/or modify * |
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9 | ! it under the terms of the GNU General Public License as published by* |
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10 | ! the Free Software Foundation, either version 3 of the License, or * |
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11 | ! (at your option) any later version. * |
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12 | ! * |
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13 | ! FLEXPART is distributed in the hope that it will be useful, * |
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14 | ! but WITHOUT ANY WARRANTY; without even the implied warranty of * |
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15 | ! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * |
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16 | ! GNU General Public License for more details. * |
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17 | ! * |
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18 | ! You should have received a copy of the GNU General Public License * |
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19 | ! along with FLEXPART. If not, see <http://www.gnu.org/licenses/>. * |
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20 | !********************************************************************** |
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21 | |
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22 | subroutine mean(x,xm,xs,number) |
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23 | |
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24 | !***************************************************************************** |
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25 | ! * |
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26 | ! This subroutine calculates mean and standard deviation of a given element.* |
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27 | ! * |
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28 | ! AUTHOR: Andreas Stohl, 25 January 1994 * |
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29 | ! * |
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30 | !***************************************************************************** |
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31 | ! * |
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32 | ! Variables: * |
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33 | ! x(number) field of input data * |
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34 | ! xm mean * |
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35 | ! xs standard deviation * |
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36 | ! number number of elements of field x * |
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37 | ! * |
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38 | ! Constants: * |
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39 | ! eps tiny number * |
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40 | ! * |
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41 | !***************************************************************************** |
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42 | |
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43 | implicit none |
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44 | |
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45 | integer :: number,i |
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46 | real :: x(number),xm,xs,xl,xq,xaux |
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47 | real,parameter :: eps=1.0e-30 |
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48 | |
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49 | xl=0. |
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50 | xq=0. |
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51 | do i=1,number |
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52 | xl=xl+x(i) |
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53 | xq=xq+x(i)*x(i) |
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54 | end do |
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55 | |
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56 | xm=xl/real(number) |
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57 | |
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58 | xaux=xq-xl*xl/real(number) |
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59 | |
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60 | if (xaux.lt.eps) then |
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61 | xs=0. |
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62 | else |
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63 | xs=sqrt(xaux/real(number-1)) |
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64 | endif |
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65 | |
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66 | end subroutine mean |
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