/usr/share/openturns/validation/ValidNatafEllipticalcopula.txt is in openturns-validation 1.5-7build2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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 | > restart:
> G:=<<G11,G21>|<G12,G22>>;
> Y:=<Q(x[1]),Q(x[2])>;
> T:=G.Y;
> J:=array(1..2,1..2):
> for i from 1 to 2 do
> for j from 1 to 2 do
> J[i, j] := diff(T[i],x[j]);
> od:
> od:
> print(J);
> H:=array(1..2,1..2,1..2):
> for i from 1 to 2 do
> for j from 1 to 2 do
> for k from 1 to 2 do
> H[i, j, k] := diff(diff(T[i],x[j]),x[k]);
> od:
> od:
> od:
> print(H);
[G11 G12]
G := [ ]
[G21 G22]
[Q(x[1])]
Y := [ ]
[Q(x[2])]
[G11 Q(x[1]) + G12 Q(x[2])]
T := [ ]
[G21 Q(x[1]) + G22 Q(x[2])]
[ / d \ / d \]
[G11 |----- Q(x[1])| G12 |----- Q(x[2])|]
[ \dx[1] / \dx[2] /]
[ ]
[ / d \ / d \]
[G21 |----- Q(x[1])| G22 |----- Q(x[2])|]
[ \dx[1] / \dx[2] /]
array(1 .. 2, 1 .. 2, 1 .. 2, [
/ 2 \
| d |
(1, 1, 1) = G11 |------ Q(x[1])|
| 2 |
\dx[1] /
(1, 1, 2) = 0
(1, 2, 1) = 0
/ 2 \
| d |
(1, 2, 2) = G12 |------ Q(x[2])|
| 2 |
\dx[2] /
/ 2 \
| d |
(2, 1, 1) = G21 |------ Q(x[1])|
| 2 |
\dx[1] /
(2, 1, 2) = 0
(2, 2, 1) = 0
/ 2 \
| d |
(2, 2, 2) = G22 |------ Q(x[2])|
| 2 |
\dx[2] /
])
> D2:=array(1..2,1..2,1..2):
> for i from 1 to 2 do
> for j from 1 to 2 do
> for k from 1 to 2 do
> D2[i, j, k] := H[k, j, i];
> od:
> od:
> od:
> print(D2);
array(1 .. 2, 1 .. 2, 1 .. 2, [
/ 2 \
| d |
(1, 1, 1) = G11 |------ Q(x[1])|
| 2 |
\dx[1] /
/ 2 \
| d |
(1, 1, 2) = G21 |------ Q(x[1])|
| 2 |
\dx[1] /
(1, 2, 1) = 0
(1, 2, 2) = 0
(2, 1, 1) = 0
(2, 1, 2) = 0
/ 2 \
| d |
(2, 2, 1) = G12 |------ Q(x[2])|
| 2 |
\dx[2] /
/ 2 \
| d |
(2, 2, 2) = G22 |------ Q(x[2])|
| 2 |
\dx[2] /
])
>
>
|