1 |
guez |
9 |
module regr1_step_av_m |
2 |
|
|
|
3 |
guez |
36 |
! Author: Lionel GUEZ |
4 |
|
|
|
5 |
guez |
9 |
implicit none |
6 |
|
|
|
7 |
|
|
interface regr1_step_av |
8 |
|
|
|
9 |
|
|
! Each procedure regrids a step function by averaging it. |
10 |
|
|
! The regridding operation is done on the first dimension of the |
11 |
|
|
! input array. |
12 |
|
|
! Source grid contains edges of steps. |
13 |
|
|
! Target grid contains positions of cell edges. |
14 |
|
|
! The target grid should be included in the source grid: no |
15 |
|
|
! extrapolation is allowed. |
16 |
|
|
! The difference between the procedures is the rank of the first argument. |
17 |
|
|
|
18 |
guez |
36 |
module procedure regr11_step_av, regr12_step_av, regr13_step_av, & |
19 |
|
|
regr14_step_av |
20 |
guez |
9 |
end interface |
21 |
|
|
|
22 |
|
|
private |
23 |
|
|
public regr1_step_av |
24 |
|
|
|
25 |
|
|
contains |
26 |
|
|
|
27 |
|
|
function regr11_step_av(vs, xs, xt) result(vt) |
28 |
|
|
|
29 |
|
|
! "vs" has rank 1. |
30 |
|
|
|
31 |
guez |
36 |
use nr_util, only: assert_eq, assert |
32 |
|
|
use numer_rec, only: locate |
33 |
guez |
9 |
|
34 |
|
|
real, intent(in):: vs(:) ! values of steps on the source grid |
35 |
|
|
! (Step "is" is between "xs(is)" and "xs(is + 1)".) |
36 |
|
|
|
37 |
|
|
real, intent(in):: xs(:) |
38 |
|
|
! (edges of of steps on the source grid, in strictly increasing order) |
39 |
|
|
|
40 |
|
|
real, intent(in):: xt(:) |
41 |
|
|
! (edges of cells of the target grid, in strictly increasing order) |
42 |
|
|
|
43 |
|
|
real vt(size(xt) - 1) ! average values on the target grid |
44 |
|
|
! (Cell "it" is between "xt(it)" and "xt(it + 1)".) |
45 |
|
|
|
46 |
|
|
! Variables local to the procedure: |
47 |
|
|
integer is, it, ns, nt |
48 |
|
|
real left_edge |
49 |
|
|
|
50 |
|
|
!--------------------------------------------- |
51 |
|
|
|
52 |
|
|
ns = assert_eq(size(vs), size(xs) - 1, "regr11_step_av ns") |
53 |
|
|
nt = size(xt) - 1 |
54 |
|
|
! Quick check on sort order: |
55 |
|
|
call assert(xs(1) < xs(2), "regr11_step_av xs bad order") |
56 |
|
|
call assert(xt(1) < xt(2), "regr11_step_av xt bad order") |
57 |
|
|
|
58 |
|
|
call assert(xs(1) <= xt(1) .and. xt(nt + 1) <= xs(ns + 1), & |
59 |
|
|
"regr11_step_av extrapolation") |
60 |
|
|
|
61 |
|
|
is = locate(xs, xt(1)) ! 1 <= is <= ns, because we forbid extrapolation |
62 |
|
|
do it = 1, nt |
63 |
|
|
! 1 <= is <= ns |
64 |
|
|
! xs(is) <= xt(it) < xs(is + 1) |
65 |
|
|
! Compute "vt(it)": |
66 |
|
|
left_edge = xt(it) |
67 |
|
|
vt(it) = 0. |
68 |
|
|
do while (xs(is + 1) < xt(it + 1)) |
69 |
|
|
! 1 <= is <= ns - 1 |
70 |
|
|
vt(it) = vt(it) + (xs(is + 1) - left_edge) * vs(is) |
71 |
|
|
is = is + 1 |
72 |
|
|
left_edge = xs(is) |
73 |
|
|
end do |
74 |
|
|
! 1 <= is <= ns |
75 |
|
|
vt(it) = (vt(it) + (xt(it + 1) - left_edge) * vs(is)) & |
76 |
|
|
/ (xt(it + 1) - xt(it)) |
77 |
|
|
if (xs(is + 1) == xt(it + 1)) is = is + 1 |
78 |
|
|
! 1 <= is <= ns .or. it == nt |
79 |
|
|
end do |
80 |
|
|
|
81 |
|
|
end function regr11_step_av |
82 |
|
|
|
83 |
|
|
!******************************************** |
84 |
|
|
|
85 |
|
|
function regr12_step_av(vs, xs, xt) result(vt) |
86 |
|
|
|
87 |
|
|
! "vs" has rank 2. |
88 |
|
|
|
89 |
guez |
36 |
use nr_util, only: assert_eq, assert |
90 |
|
|
use numer_rec, only: locate |
91 |
guez |
9 |
|
92 |
|
|
real, intent(in):: vs(:, :) ! values of steps on the source grid |
93 |
|
|
! (Step "is" is between "xs(is)" and "xs(is + 1)".) |
94 |
|
|
|
95 |
|
|
real, intent(in):: xs(:) |
96 |
|
|
! (edges of steps on the source grid, in strictly increasing order) |
97 |
|
|
|
98 |
|
|
real, intent(in):: xt(:) |
99 |
|
|
! (edges of cells of the target grid, in strictly increasing order) |
100 |
|
|
|
101 |
|
|
real vt(size(xt) - 1, size(vs, 2)) ! average values on the target grid |
102 |
|
|
! (Cell "it" is between "xt(it)" and "xt(it + 1)".) |
103 |
|
|
|
104 |
|
|
! Variables local to the procedure: |
105 |
|
|
integer is, it, ns, nt |
106 |
|
|
real left_edge |
107 |
|
|
|
108 |
|
|
!--------------------------------------------- |
109 |
|
|
|
110 |
|
|
ns = assert_eq(size(vs, 1), size(xs) - 1, "regr12_step_av ns") |
111 |
|
|
nt = size(xt) - 1 |
112 |
|
|
|
113 |
|
|
! Quick check on sort order: |
114 |
|
|
call assert(xs(1) < xs(2), "regr12_step_av xs bad order") |
115 |
|
|
call assert(xt(1) < xt(2), "regr12_step_av xt bad order") |
116 |
|
|
|
117 |
|
|
call assert(xs(1) <= xt(1) .and. xt(nt + 1) <= xs(ns + 1), & |
118 |
|
|
"regr12_step_av extrapolation") |
119 |
|
|
|
120 |
|
|
is = locate(xs, xt(1)) ! 1 <= is <= ns, because we forbid extrapolation |
121 |
|
|
do it = 1, nt |
122 |
|
|
! 1 <= is <= ns |
123 |
|
|
! xs(is) <= xt(it) < xs(is + 1) |
124 |
|
|
! Compute "vt(it, :)": |
125 |
|
|
left_edge = xt(it) |
126 |
|
|
vt(it, :) = 0. |
127 |
|
|
do while (xs(is + 1) < xt(it + 1)) |
128 |
|
|
! 1 <= is <= ns - 1 |
129 |
|
|
vt(it, :) = vt(it, :) + (xs(is + 1) - left_edge) * vs(is, :) |
130 |
|
|
is = is + 1 |
131 |
|
|
left_edge = xs(is) |
132 |
|
|
end do |
133 |
|
|
! 1 <= is <= ns |
134 |
|
|
vt(it, :) = (vt(it, :) + (xt(it + 1) - left_edge) * vs(is, :)) & |
135 |
|
|
/ (xt(it + 1) - xt(it)) |
136 |
|
|
if (xs(is + 1) == xt(it + 1)) is = is + 1 |
137 |
|
|
! 1 <= is <= ns .or. it == nt |
138 |
|
|
end do |
139 |
|
|
|
140 |
|
|
end function regr12_step_av |
141 |
|
|
|
142 |
|
|
!******************************************** |
143 |
|
|
|
144 |
|
|
function regr13_step_av(vs, xs, xt) result(vt) |
145 |
|
|
|
146 |
|
|
! "vs" has rank 3. |
147 |
|
|
|
148 |
guez |
36 |
use nr_util, only: assert_eq, assert |
149 |
|
|
use numer_rec, only: locate |
150 |
guez |
9 |
|
151 |
|
|
real, intent(in):: vs(:, :, :) ! values of steps on the source grid |
152 |
|
|
! (Step "is" is between "xs(is)" and "xs(is + 1)".) |
153 |
|
|
|
154 |
|
|
real, intent(in):: xs(:) |
155 |
|
|
! (edges of steps on the source grid, in strictly increasing order) |
156 |
|
|
|
157 |
|
|
real, intent(in):: xt(:) |
158 |
|
|
! (edges of cells of the target grid, in strictly increasing order) |
159 |
|
|
|
160 |
|
|
real vt(size(xt) - 1, size(vs, 2), size(vs, 3)) |
161 |
|
|
! (average values on the target grid) |
162 |
|
|
! (Cell "it" is between "xt(it)" and "xt(it + 1)".) |
163 |
|
|
|
164 |
|
|
! Variables local to the procedure: |
165 |
|
|
integer is, it, ns, nt |
166 |
|
|
real left_edge |
167 |
|
|
|
168 |
|
|
!--------------------------------------------- |
169 |
|
|
|
170 |
|
|
ns = assert_eq(size(vs, 1), size(xs) - 1, "regr13_step_av ns") |
171 |
|
|
nt = size(xt) - 1 |
172 |
|
|
|
173 |
|
|
! Quick check on sort order: |
174 |
|
|
call assert(xs(1) < xs(2), "regr13_step_av xs bad order") |
175 |
|
|
call assert(xt(1) < xt(2), "regr13_step_av xt bad order") |
176 |
|
|
|
177 |
|
|
call assert(xs(1) <= xt(1) .and. xt(nt + 1) <= xs(ns + 1), & |
178 |
|
|
"regr13_step_av extrapolation") |
179 |
|
|
|
180 |
|
|
is = locate(xs, xt(1)) ! 1 <= is <= ns, because we forbid extrapolation |
181 |
|
|
do it = 1, nt |
182 |
|
|
! 1 <= is <= ns |
183 |
|
|
! xs(is) <= xt(it) < xs(is + 1) |
184 |
|
|
! Compute "vt(it, :, :)": |
185 |
|
|
left_edge = xt(it) |
186 |
|
|
vt(it, :, :) = 0. |
187 |
|
|
do while (xs(is + 1) < xt(it + 1)) |
188 |
|
|
! 1 <= is <= ns - 1 |
189 |
|
|
vt(it, :, :) = vt(it, :, :) + (xs(is + 1) - left_edge) * vs(is, :, :) |
190 |
|
|
is = is + 1 |
191 |
|
|
left_edge = xs(is) |
192 |
|
|
end do |
193 |
|
|
! 1 <= is <= ns |
194 |
|
|
vt(it, :, :) = (vt(it, :, :) & |
195 |
|
|
+ (xt(it + 1) - left_edge) * vs(is, :, :)) / (xt(it + 1) - xt(it)) |
196 |
|
|
if (xs(is + 1) == xt(it + 1)) is = is + 1 |
197 |
|
|
! 1 <= is <= ns .or. it == nt |
198 |
|
|
end do |
199 |
|
|
|
200 |
|
|
end function regr13_step_av |
201 |
|
|
|
202 |
guez |
36 |
!******************************************** |
203 |
|
|
|
204 |
|
|
function regr14_step_av(vs, xs, xt) result(vt) |
205 |
|
|
|
206 |
|
|
! "vs" has rank 4. |
207 |
|
|
|
208 |
|
|
use nr_util, only: assert_eq, assert |
209 |
|
|
use numer_rec, only: locate |
210 |
|
|
|
211 |
|
|
real, intent(in):: vs(:, :, :, :) ! values of steps on the source grid |
212 |
|
|
! (Step "is" is between "xs(is)" and "xs(is + 1)".) |
213 |
|
|
|
214 |
|
|
real, intent(in):: xs(:) |
215 |
|
|
! (edges of steps on the source grid, in strictly increasing order) |
216 |
|
|
|
217 |
|
|
real, intent(in):: xt(:) |
218 |
|
|
! (edges of cells of the target grid, in strictly increasing order) |
219 |
|
|
|
220 |
|
|
real vt(size(xt) - 1, size(vs, 2), size(vs, 3), size(vs, 4)) |
221 |
|
|
! (average values on the target grid) |
222 |
|
|
! (Cell "it" is between "xt(it)" and "xt(it + 1)".) |
223 |
|
|
|
224 |
|
|
! Variables local to the procedure: |
225 |
|
|
integer is, it, ns, nt |
226 |
|
|
real left_edge |
227 |
|
|
|
228 |
|
|
!--------------------------------------------- |
229 |
|
|
|
230 |
|
|
ns = assert_eq(size(vs, 1), size(xs) - 1, "regr14_step_av ns") |
231 |
|
|
nt = size(xt) - 1 |
232 |
|
|
|
233 |
|
|
! Quick check on sort order: |
234 |
|
|
call assert(xs(1) < xs(2), "regr14_step_av xs bad order") |
235 |
|
|
call assert(xt(1) < xt(2), "regr14_step_av xt bad order") |
236 |
|
|
|
237 |
|
|
call assert(xs(1) <= xt(1) .and. xt(nt + 1) <= xs(ns + 1), & |
238 |
|
|
"regr14_step_av extrapolation") |
239 |
|
|
|
240 |
|
|
is = locate(xs, xt(1)) ! 1 <= is <= ns, because we forbid extrapolation |
241 |
|
|
do it = 1, nt |
242 |
|
|
! 1 <= is <= ns |
243 |
|
|
! xs(is) <= xt(it) < xs(is + 1) |
244 |
|
|
! Compute "vt(it, :, :, :)": |
245 |
|
|
left_edge = xt(it) |
246 |
|
|
vt(it, :, :, :) = 0. |
247 |
|
|
do while (xs(is + 1) < xt(it + 1)) |
248 |
|
|
! 1 <= is <= ns - 1 |
249 |
|
|
vt(it, :, :, :) = vt(it, :, :, :) + (xs(is + 1) - left_edge) & |
250 |
|
|
* vs(is, :, :, :) |
251 |
|
|
is = is + 1 |
252 |
|
|
left_edge = xs(is) |
253 |
|
|
end do |
254 |
|
|
! 1 <= is <= ns |
255 |
|
|
vt(it, :, :, :) = (vt(it, :, :, :) + (xt(it + 1) - left_edge) & |
256 |
|
|
* vs(is, :, :, :)) / (xt(it + 1) - xt(it)) |
257 |
|
|
if (xs(is + 1) == xt(it + 1)) is = is + 1 |
258 |
|
|
! 1 <= is <= ns .or. it == nt |
259 |
|
|
end do |
260 |
|
|
|
261 |
|
|
end function regr14_step_av |
262 |
|
|
|
263 |
guez |
9 |
end module regr1_step_av_m |