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