1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
|
#include "cctk.h"
#include "cctk_Functions.h"
#include "cctk_Parameters.h"
subroutine deriv2_gf_4_2_opt ( var, ni, nj, nk, dir, bb, gsize, delta, dvar2 )
use All_Coeffs_mod
implicit none
DECLARE_CCTK_FUNCTIONS
DECLARE_CCTK_PARAMETERS
CCTK_INT, intent(IN) :: ni, nj, nk
CCTK_REAL, dimension(ni,nj,nk), intent(IN) :: var
CCTK_INT, intent(IN) :: dir
CCTK_INT, intent(IN) :: bb(2)
CCTK_INT, intent(IN) :: gsize
CCTK_REAL, intent(IN) :: delta
CCTK_REAL, dimension(ni,nj,nk), intent(OUT) :: dvar2
CCTK_REAL, dimension(3), save :: a
CCTK_REAL, dimension(6,4), save :: q
CCTK_REAL :: idel2
CCTK_INT :: il, ir, jl, jr, kl, kr
logical, save :: first = .true.
if ( first ) then
call coeffs_2_4_2_opt ( a, q )
first = .false.
end if
idel2 = 1.0_wp / delta**2
direction: select case (dir)
case (0) direction
if ( bb(1) == 0 ) then
il = 1 + gsize
else
dvar2(1,:,:) = ( q(1,1) * var(1,:,:) + q(2,1) * var(2,:,:) + &
q(3,1) * var(3,:,:) + q(4,1) * var(4,:,:) ) * idel2
dvar2(2,:,:) = ( q(1,2) * var(1,:,:) + q(2,2) * var(2,:,:) + &
q(3,2) * var(3,:,:) ) * idel2
dvar2(3,:,:) = ( q(1,3) * var(1,:,:) + q(2,3) * var(2,:,:) + &
q(3,3) * var(3,:,:) + q(4,3) * var(4,:,:) + &
q(5,3) * var(5,:,:) ) * idel2
dvar2(4,:,:) = ( q(1,4) * var(1,:,:) + q(3,4) * var(3,:,:) + &
q(4,4) * var(4,:,:) + q(5,4) * var(5,:,:) + &
q(6,4) * var(6,:,:) ) * idel2
il = 5
end if
if ( bb(2) == 0 ) then
ir = ni - gsize
else
dvar2(ni-3,:,:) = ( q(1,4) * var(ni,:,:) + &
q(3,4) * var(ni-2,:,:) + &
q(4,4) * var(ni-3,:,:) + &
q(5,4) * var(ni-4,:,:) + &
q(6,4) * var(ni-5,:,:) ) * idel2
dvar2(ni-2,:,:) = ( q(1,3) * var(ni,:,:) + &
q(2,3) * var(ni-1,:,:) + &
q(3,3) * var(ni-2,:,:) + &
q(4,3) * var(ni-3,:,:) + &
q(5,3) * var(ni-4,:,:) ) * idel2
dvar2(ni-1,:,:) = ( q(1,2) * var(ni,:,:) + &
q(2,2) * var(ni-1,:,:) + &
q(3,2) * var(ni-2,:,:) ) * idel2
dvar2(ni,:,:) = ( q(1,1) * var(ni,:,:) + &
q(2,1) * var(ni-1,:,:) + &
q(3,1) * var(ni-2,:,:) + &
q(4,1) * var(ni-3,:,:) ) * idel2
ir = ni - 4
end if
dvar2(il:ir,:,:) = ( a(1) * var(il:ir,:,:) + &
a(2) * ( var(il+1:ir+1,:,:) + &
var(il-1:ir-1,:,:) ) + &
a(3) * ( var(il+2:ir+2,:,:) + &
var(il-2:ir-2,:,:) ) ) * idel2
case (1) direction
if ( zero_derivs_y /= 0 ) then
dvar2 = zero
else
if ( bb(1) == 0 ) then
jl = 1 + gsize
else
dvar2(:,1,:) = ( q(1,1) * var(:,1,:) + q(2,1) * var(:,2,:) + &
q(3,1) * var(:,3,:) + q(4,1) * var(:,4,:) ) * idel2
dvar2(:,2,:) = ( q(1,2) * var(:,1,:) + q(2,2) * var(:,2,:) + &
q(3,2) * var(:,3,:) ) * idel2
dvar2(:,3,:) = ( q(1,3) * var(:,1,:) + q(2,3) * var(:,2,:) + &
q(3,3) * var(:,3,:) + q(4,3) * var(:,4,:) + &
q(5,3) * var(:,5,:) ) * idel2
dvar2(:,4,:) = ( q(1,4) * var(:,1,:) + q(3,4) * var(:,3,:) + &
q(4,4) * var(:,4,:) + q(5,4) * var(:,5,:) + &
q(6,4) * var(:,6,:) ) * idel2
jl = 5
end if
if ( bb(2) == 0 ) then
jr = nj - gsize
else
dvar2(:,nj-3,:) = ( q(1,4) * var(:,nj,:) + &
q(3,4) * var(:,nj-2,:) + &
q(4,4) * var(:,nj-3,:) + &
q(5,4) * var(:,nj-4,:) + &
q(6,4) * var(:,nj-5,:) ) * idel2
dvar2(:,nj-2,:) = ( q(1,3) * var(:,nj,:) + &
q(2,3) * var(:,nj-1,:) + &
q(3,3) * var(:,nj-2,:) + &
q(4,3) * var(:,nj-3,:) + &
q(5,3) * var(:,nj-4,:) ) * idel2
dvar2(:,nj-1,:) = ( q(1,2) * var(:,nj,:) + &
q(2,2) * var(:,nj-1,:) + &
q(3,2) * var(:,nj-2,:) ) * idel2
dvar2(:,nj,:) = ( q(1,1) * var(:,nj,:) + &
q(2,1) * var(:,nj-1,:) + &
q(3,1) * var(:,nj-2,:) + &
q(4,1) * var(:,nj-3,:) ) * idel2
jr = nj - 4
end if
dvar2(:,jl:jr,:) = ( a(1) * var(:,jl:jr,:) + &
a(2) * ( var(:,jl+1:jr+1,:) + &
var(:,jl-1:jr-1,:) ) + &
a(3) * ( var(:,jl+2:jr+2,:) + &
var(:,jl-2:jr-2,:) ) ) * idel2
end if
case (2) direction
if ( zero_derivs_z /= 0 ) then
dvar2 = zero
else
if ( bb(1) == 0 ) then
kl = 1 + gsize
else
dvar2(:,:,1) = ( q(1,1) * var(:,:,1) + q(2,1) * var(:,:,2) + &
q(3,1) * var(:,:,3) + q(4,1) * var(:,:,4) ) * idel2
dvar2(:,:,2) = ( q(1,2) * var(:,:,1) + q(2,2) * var(:,:,2) + &
q(3,2) * var(:,:,3) ) * idel2
dvar2(:,:,3) = ( q(1,3) * var(:,:,1) + q(2,3) * var(:,:,2) + &
q(3,3) * var(:,:,3) + q(4,3) * var(:,:,4) + &
q(5,3) * var(:,:,5) ) * idel2
dvar2(:,:,4) = ( q(1,4) * var(:,:,1) + q(3,4) * var(:,:,3) + &
q(4,4) * var(:,:,4) + q(5,4) * var(:,:,5) + &
q(6,4) * var(:,:,6) ) * idel2
kl = 5
end if
if ( bb(2) == 0 ) then
kr = nk - gsize
else
dvar2(:,:,nk-3) = ( q(1,4) * var(:,:,nk) + &
q(3,4) * var(:,:,nk-2) + &
q(4,4) * var(:,:,nk-3) + &
q(5,4) * var(:,:,nk-4) + &
q(6,4) * var(:,:,nk-5) ) * idel2
dvar2(:,:,nk-2) = ( q(1,3) * var(:,:,nk) + &
q(2,3) * var(:,:,nk-1) + &
q(3,3) * var(:,:,nk-2) + &
q(4,3) * var(:,:,nk-3) + &
q(5,3) * var(:,:,nk-4) ) * idel2
dvar2(:,:,nk-1) = ( q(1,2) * var(:,:,nk) + &
q(2,2) * var(:,:,nk-1) + &
q(3,2) * var(:,:,nk-2) ) * idel2
dvar2(:,:,nk) = ( q(1,1) * var(:,:,nk) + &
q(2,1) * var(:,:,nk-1) + &
q(3,1) * var(:,:,nk-2) + &
q(4,1) * var(:,:,nk-3) ) * idel2
kr = nk - 4
end if
dvar2(:,:,kl:kr) = ( a(1) * var(:,:,kl:kr) + &
a(2) * ( var(:,:,kl+1:kr+1) + &
var(:,:,kl-1:kr-1) ) + &
a(3) * ( var(:,:,kl+2:kr+2) + &
var(:,:,kl-2:kr-2) ) ) * idel2
end if
end select direction
end subroutine deriv2_gf_4_2_opt
|
