[92fab65] | 1 | ! SPDX-FileCopyrightText: FLEXPART 1998-2019, see flexpart_license.txt |
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| 2 | ! SPDX-License-Identifier: GPL-3.0-or-later |
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[332fbbd] | 3 | |
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[6a678e3] | 4 | module mean_mod |
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| 5 | public |
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| 6 | |
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| 7 | ! Interface to select single or double precision version of the 'mean' |
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| 8 | ! function from type of input arguments ("function overloading") |
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| 9 | !******************************************************************** |
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| 10 | interface mean |
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| 11 | module procedure mean_sp |
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| 12 | module procedure mean_dp |
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[4c64400] | 13 | module procedure mean_mixed_dss |
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| 14 | module procedure mean_mixed_dsd |
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| 15 | |
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[6a678e3] | 16 | end interface mean |
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| 17 | |
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| 18 | contains |
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| 19 | |
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| 20 | subroutine mean_sp(x_sp,xm,xs,number) |
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| 21 | |
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| 22 | !***************************************************************************** |
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| 23 | ! * |
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| 24 | ! This subroutine calculates mean and standard deviation of a given element.* |
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| 25 | ! * |
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| 26 | ! AUTHOR: Andreas Stohl, 25 January 1994 * |
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| 27 | ! * |
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| 28 | ! Single precision version ESO 2016 * |
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| 29 | !***************************************************************************** |
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| 30 | ! * |
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| 31 | ! Variables: * |
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| 32 | ! x_sp(number) field of input data * |
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| 33 | ! xm mean * |
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| 34 | ! xs standard deviation * |
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| 35 | ! number number of elements of field x_sp * |
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| 36 | ! * |
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| 37 | ! Constants: * |
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| 38 | ! eps tiny number * |
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| 39 | ! * |
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| 40 | !***************************************************************************** |
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| 41 | |
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| 42 | use par_mod, only: sp |
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| 43 | |
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| 44 | implicit none |
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| 45 | |
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| 46 | ! integer :: number,i |
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| 47 | ! real(sp) :: x_sp(number),xm,xs,xl,xq,xaux |
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| 48 | ! real(sp),parameter :: eps=1.0e-30 |
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| 49 | |
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[16b61a5] | 50 | integer,intent(in) :: number |
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[6a678e3] | 51 | real(sp), intent(in) :: x_sp(number) |
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| 52 | real(sp), intent(out) ::xm,xs |
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| 53 | real(sp) :: xl,xq,xaux |
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| 54 | real(sp),parameter :: eps=1.0e-30 |
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| 55 | integer :: i |
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| 56 | |
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| 57 | xl=0. |
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| 58 | xq=0. |
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| 59 | do i=1,number |
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| 60 | xl=xl+x_sp(i) |
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| 61 | xq=xq+x_sp(i)*x_sp(i) |
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| 62 | end do |
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| 63 | |
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| 64 | xm=xl/real(number,kind=sp) |
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| 65 | |
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| 66 | xaux=xq-xl*xl/real(number,kind=sp) |
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| 67 | |
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| 68 | if (xaux.lt.eps) then |
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| 69 | xs=0. |
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| 70 | else |
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| 71 | xs=sqrt(xaux/real(number-1,kind=sp)) |
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| 72 | endif |
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| 73 | |
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| 74 | end subroutine mean_sp |
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| 75 | |
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| 76 | subroutine mean_dp(x_dp,xm,xs,number) |
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| 77 | |
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| 78 | !***************************************************************************** |
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| 79 | ! * |
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| 80 | ! This subroutine calculates mean and standard deviation of a given element.* |
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| 81 | ! * |
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| 82 | ! AUTHOR: Andreas Stohl, 25 January 1994 * |
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| 83 | ! * |
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| 84 | ! Double precision version ESO 2016 * |
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| 85 | !***************************************************************************** |
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| 86 | ! * |
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| 87 | ! Variables: * |
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| 88 | ! x_dp(number) field of input data * |
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| 89 | ! xm mean * |
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| 90 | ! xs standard deviation * |
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| 91 | ! number number of elements of field x_dp * |
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| 92 | ! * |
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| 93 | ! Constants: * |
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| 94 | ! eps tiny number * |
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| 95 | ! * |
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| 96 | !***************************************************************************** |
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| 97 | |
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| 98 | use par_mod, only: dp |
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| 99 | |
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| 100 | implicit none |
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| 101 | |
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[16b61a5] | 102 | integer,intent(in) :: number |
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[6a678e3] | 103 | real(dp), intent(in) :: x_dp(number) |
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| 104 | real(dp), intent(out) ::xm,xs |
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| 105 | real(dp) :: xl,xq,xaux |
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| 106 | real(dp),parameter :: eps=1.0e-30 |
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| 107 | integer :: i |
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| 108 | |
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| 109 | xl=0._dp |
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| 110 | xq=0._dp |
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| 111 | do i=1,number |
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| 112 | xl=xl+x_dp(i) |
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| 113 | xq=xq+x_dp(i)*x_dp(i) |
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| 114 | end do |
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| 115 | |
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| 116 | xm=xl/real(number,kind=dp) |
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| 117 | |
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| 118 | xaux=xq-xl*xl/real(number,kind=dp) |
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| 119 | |
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| 120 | if (xaux.lt.eps) then |
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| 121 | xs=0._dp |
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| 122 | else |
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| 123 | xs=sqrt(xaux/real(number-1,kind=dp)) |
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| 124 | endif |
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| 125 | |
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| 126 | end subroutine mean_dp |
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| 127 | |
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[4c64400] | 128 | subroutine mean_mixed_dss(x_dp,xm,xs,number) |
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[6a678e3] | 129 | |
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| 130 | !***************************************************************************** |
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| 131 | ! * |
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| 132 | ! This subroutine calculates mean and standard deviation of a given element.* |
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| 133 | ! * |
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| 134 | ! AUTHOR: Andreas Stohl, 25 January 1994 * |
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| 135 | ! * |
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[4c64400] | 136 | ! Mixed precision version ESO 2016 (dp in, sp out, sp out) * |
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[6a678e3] | 137 | !***************************************************************************** |
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| 138 | ! * |
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| 139 | ! Variables: * |
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| 140 | ! x_dp(number) field of input data * |
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| 141 | ! xm mean * |
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| 142 | ! xs standard deviation * |
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| 143 | ! number number of elements of field x_dp * |
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| 144 | ! * |
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| 145 | ! Constants: * |
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| 146 | ! eps tiny number * |
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| 147 | ! * |
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| 148 | !***************************************************************************** |
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| 149 | |
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| 150 | use par_mod, only: sp,dp |
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| 151 | |
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| 152 | implicit none |
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| 153 | |
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[16b61a5] | 154 | integer,intent(in) :: number |
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[6a678e3] | 155 | real(dp), intent(in) :: x_dp(number) |
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| 156 | real(sp), intent(out) ::xm,xs |
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| 157 | real(sp) :: xl,xq,xaux |
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| 158 | real(sp),parameter :: eps=1.0e-30 |
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| 159 | integer :: i |
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| 160 | |
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| 161 | xl=0._sp |
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| 162 | xq=0._sp |
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| 163 | do i=1,number |
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[b5127f9] | 164 | xl=xl+real(x_dp(i),kind=sp) |
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| 165 | xq=xq+real(x_dp(i),kind=sp)*real(x_dp(i),kind=sp) |
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[6a678e3] | 166 | end do |
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| 167 | |
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| 168 | xm=xl/real(number,kind=sp) |
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| 169 | |
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| 170 | xaux=xq-xl*xl/real(number,kind=sp) |
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| 171 | |
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| 172 | if (xaux.lt.eps) then |
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| 173 | xs=0._sp |
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| 174 | else |
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| 175 | xs=sqrt(xaux/real(number-1,kind=sp)) |
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| 176 | endif |
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| 177 | |
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[4c64400] | 178 | end subroutine mean_mixed_dss |
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| 179 | |
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| 180 | subroutine mean_mixed_dsd(x_dp,xm,xs_dp,number) |
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| 181 | |
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| 182 | !***************************************************************************** |
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| 183 | ! * |
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| 184 | ! This subroutine calculates mean and standard deviation of a given element.* |
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| 185 | ! * |
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| 186 | ! AUTHOR: Andreas Stohl, 25 January 1994 * |
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| 187 | ! * |
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| 188 | ! Mixed precision version ESO 2016 (dp in, sp out, dp out) * |
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| 189 | !***************************************************************************** |
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| 190 | ! * |
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| 191 | ! Variables: * |
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| 192 | ! x_dp(number) field of input data * |
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| 193 | ! xm mean * |
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| 194 | ! xs_dp standard deviation * |
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| 195 | ! number number of elements of field x_dp * |
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| 196 | ! * |
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| 197 | ! Constants: * |
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| 198 | ! eps tiny number * |
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| 199 | ! * |
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| 200 | !***************************************************************************** |
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| 201 | |
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| 202 | use par_mod, only: sp,dp |
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| 203 | |
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| 204 | implicit none |
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| 205 | |
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| 206 | integer,intent(in) :: number |
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| 207 | real(dp), intent(in) :: x_dp(number) |
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| 208 | real(sp), intent(out) ::xm |
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| 209 | real(dp), intent(out) ::xs_dp |
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| 210 | real(dp) :: xl,xq,xaux |
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| 211 | real(dp),parameter :: eps=1.0e-30_dp |
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| 212 | integer :: i |
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| 213 | |
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| 214 | xl=0._dp |
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| 215 | xq=0._dp |
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| 216 | do i=1,number |
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| 217 | xl=xl+x_dp(i) |
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| 218 | xq=xq+x_dp(i)*x_dp(i) |
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| 219 | end do |
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| 220 | |
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[b5127f9] | 221 | xm=real(xl,kind=sp)/real(number,kind=sp) |
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[4c64400] | 222 | |
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| 223 | xaux=xq-xl*xl/real(number,kind=dp) |
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| 224 | |
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| 225 | if (xaux.lt.eps) then |
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| 226 | xs_dp=0._dp |
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| 227 | else |
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| 228 | xs_dp=sqrt(xaux/real(number-1,kind=dp)) |
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| 229 | endif |
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| 230 | |
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| 231 | end subroutine mean_mixed_dsd |
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| 232 | |
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[6a678e3] | 233 | end module mean_mod |
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