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[ 0.110095 ]
[ 0.474412 ]
[ 1.91384 ]
[ 1.52594 ]
[ 6.19579 ]
[ 4.73176 ]
[ 2.20507 ]
[ -0.79069 ]
[ -13.4743 ]
[ -1.73554 ]
[ 5.42698 ]
[ 8.4065 ]
[ 12.1404 ]
[ 13.465 ]
[ 6.99712 ]
[ 9.77491 ]
[ 9.60899 ]
[ 6.53785 ]
[ 5.50686 ]
[ 2.28048 ]
[ 5.40428 ]
[ 1.23115 ]
[ 1.14522 ]
[ 3.23159 ]
[ 28.8617 ]
[ 10.3456 ]
[ 17.1628 ]
[ 8.56801 ]
[ 8.1565 ]
[ 4.90219 ]
[ 16.7566 ]
[ 75.7101 ]
[ 10.5274 ]
*** Matrix-Vector multiplication b = A x ***
b <--> b_orig:
./run_examples.sh: Zeile 12: 234335 Speicherzugriffsfehler (Speicherabzug geschrieben) "${EXAMPLE}" $@
0 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
Starting new domain after 16 nodes.
0 1 3 6
2 4 7 10
5 8 11 13
9 12 14 15
16 17 19 22
18 20 23 25
21 24 26 27
2 domains
Domain info: last node = 16 : minDeg = 2 : halfBandWidth = 4
Domain info: last node = 28 : minDeg = 2 : halfBandWidth = 4
[ 1 2 4 10 11 18 18 8 14 19 8 9 3 14 2 4 18 9 12 11 ] [ 6 ]
[ 16 0 9 18 15 1 7 13 9 14 16 10 17 0 1 9 19 19 18 13 ] [ 13 ]
[ 18 7 3 1 2 5 6 0 15 18 11 11 18 1 9 14 2 17 7 12 ] [ 16 ]
[ 12 4 3 10 4 4 19 3 3 18 17 2 6 0 4 8 6 10 9 1 ] [ 16 ]
[ 9 0 13 8 1 3 3 4 0 10 16 12 14 19 2 19 3 2 3 7 ] [ 15 ]
[ 1 0 9 7 1 14 15 7 5 4 9 14 5 3 3 7 6 6 12 6 ] [ 6 ]
[ 17 8 19 11 8 2 11 11 5 14 19 6 15 9 14 17 3 10 5 8 ] [ 14 ]
[ 14 14 3 0 17 6 8 4 13 0 11 10 8 10 2 16 13 13 8 18 ] [ 16 ]
[ 8 7 5 4 16 19 1 0 9 6 9 4 1 12 4 19 19 13 3 12 ] [ 4 ]
[ 13 14 3 2 5 5 19 18 19 7 16 7 15 2 11 12 1 13 13 10 ] [ 13 ]
[ 19 2 14 1 14 19 0 14 13 4 7 6 18 10 9 4 16 8 2 15 ] [ 7 ]
[ 16 19 2 12 1 14 5 2 7 18 13 7 0 8 9 15 8 10 9 1 ] [ 18 ]
[ 14 17 7 13 7 17 17 3 5 0 18 1 19 1 14 1 16 19 4 4 ] [ 9 ]
[ 17 17 11 18 5 1 13 13 11 3 15 5 0 3 18 8 0 16 11 5 ] [ 0 ]
[ 16 10 7 16 12 1 18 9 1 2 13 18 0 5 16 6 6 10 0 17 ] [ 7 ]
[ 13 15 2 14 18 1 2 18 18 14 4 15 5 11 12 17 13 10 6 14 ] [ 14 ]
[ 13 0 13 13 5 10 19 11 0 19 8 14 14 11 8 13 12 11 11 11 ] [ 9 ]
[ 5 15 6 10 7 18 8 1 9 15 16 2 15 9 15 0 19 15 11 0 ] [ 17 ]
[ 14 0 14 9 11 3 2 4 14 14 15 19 10 2 10 17 1 18 19 10 ] [ 18 ]
[ 13 15 13 9 5 9 9 4 4 1 5 19 1 19 8 13 2 11 17 16 ] [ 14 ]
*** Equation system solving with LU and backsolving ***
A = LU with main diagonal of L set to 1 and not stored:
x:
0.64
-0.13
-1.2
1.4
0.88
0.29
0.18
-2.1
0.43
-0.28
-0.05
-0.94
1.4
-0.66
1.6
0.92
-0.16
-4.1
2.3
1.2
*** Matrix-Vector multiplication b = A x ***
[ 1 2 4 10 11 18 18 8 14 19 8 9 3 14 2 4 18 9 12 11 ] [ 0.64 ]
[ 16 0 9 18 15 1 7 13 9 14 16 10 17 0 1 9 19 19 18 13 ] [ -0.13 ]
[ 18 7 3 1 2 5 6 0 15 18 11 11 18 1 9 14 2 17 7 12 ] [ -1.2 ]
[ 12 4 3 10 4 4 19 3 3 18 17 2 6 0 4 8 6 10 9 1 ] [ 1.4 ]
[ 9 0 13 8 1 3 3 4 0 10 16 12 14 19 2 19 3 2 3 7 ] [ 0.88 ]
[ 1 0 9 7 1 14 15 7 5 4 9 14 5 3 3 7 6 6 12 6 ] [ 0.29 ]
[ 17 8 19 11 8 2 11 11 5 14 19 6 15 9 14 17 3 10 5 8 ] [ 0.18 ]
[ 14 14 3 0 17 6 8 4 13 0 11 10 8 10 2 16 13 13 8 18 ] [ -2.1 ]
[ 8 7 5 4 16 19 1 0 9 6 9 4 1 12 4 19 19 13 3 12 ] [ 0.43 ]
[ 13 14 3 2 5 5 19 18 19 7 16 7 15 2 11 12 1 13 13 10 ] [ -0.28 ]
[ 19 2 14 1 14 19 0 14 13 4 7 6 18 10 9 4 16 8 2 15 ] [ -0.05 ]
[ 16 19 2 12 1 14 5 2 7 18 13 7 0 8 9 15 8 10 9 1 ] [ -0.94 ]
[ 14 17 7 13 7 17 17 3 5 0 18 1 19 1 14 1 16 19 4 4 ] [ 1.4 ]
[ 17 17 11 18 5 1 13 13 11 3 15 5 0 3 18 8 0 16 11 5 ] [ -0.66 ]
[ 16 10 7 16 12 1 18 9 1 2 13 18 0 5 16 6 6 10 0 17 ] [ 1.6 ]
[ 13 15 2 14 18 1 2 18 18 14 4 15 5 11 12 17 13 10 6 14 ] [ 0.92 ]
[ 13 0 13 13 5 10 19 11 0 19 8 14 14 11 8 13 12 11 11 11 ] [ -0.16 ]
[ 5 15 6 10 7 18 8 1 9 15 16 2 15 9 15 0 19 15 11 0 ] [ -4.1 ]
[ 14 0 14 9 11 3 2 4 14 14 15 19 10 2 10 17 1 18 19 10 ] [ 2.3 ]
[ 13 15 13 9 5 9 9 4 4 1 5 19 1 19 8 13 2 11 17 16 ] [ 1.2 ]
b <--> b_orig:
6 <--> 6
13 <--> 13
16 <--> 16
16 <--> 16
15 <--> 15
6 <--> 6
14 <--> 14
16 <--> 16
4 <--> 4
13 <--> 13
7 <--> 7
18 <--> 18
9 <--> 9
4.4e-15 <--> 0
7 <--> 7
14 <--> 14
9 <--> 9
17 <--> 17
18 <--> 18
14 <--> 14
Original Matrix A, restored
[ 1 2 4 10 11 18 18 8 14 19 8 9 3 14 2 4 18 9 12 11 ]
[ 16 0 9 18 15 1 7 13 9 14 16 10 17 0 1 9 19 19 18 13 ]
[ 18 7 3 1 2 5 6 0 15 18 11 11 18 1 9 14 2 17 7 12 ]
[ 12 4 3 10 4 4 19 3 3 18 17 2 6 0 4 8 6 10 9 1 ]
[ 9 0 13 8 1 3 3 4 0 10 16 12 14 19 2 19 3 2 3 7 ]
[ 1 0 9 7 1 14 15 7 5 4 9 14 5 3 3 7 6 6 12 6 ]
[ 17 8 19 11 8 2 11 11 5 14 19 6 15 9 14 17 3 10 5 8 ]
[ 14 14 3 0 17 6 8 4 13 0 11 10 8 10 2 16 13 13 8 18 ]
[ 8 7 5 4 16 19 1 0 9 6 9 4 1 12 4 19 19 13 3 12 ]
[ 13 14 3 2 5 5 19 18 19 7 16 7 15 2 11 12 1 13 13 10 ]
[ 19 2 14 1 14 19 0 14 13 4 7 6 18 10 9 4 16 8 2 15 ]
[ 16 19 2 12 1 14 5 2 7 18 13 7 0 8 9 15 8 10 9 1 ]
[ 14 17 7 13 7 17 17 3 5 0 18 1 19 1 14 1 16 19 4 4 ]
[ 17 17 11 18 5 1 13 13 11 3 15 5 0 3 18 8 0 16 11 5 ]
[ 16 10 7 16 12 1 18 9 1 2 13 18 0 5 16 6 6 10 0 17 ]
[ 13 15 2 14 18 1 2 18 18 14 4 15 5 11 12 17 13 10 6 14 ]
[ 13 0 13 13 5 10 19 11 0 19 8 14 14 11 8 13 12 11 11 11 ]
[ 5 15 6 10 7 18 8 1 9 15 16 2 15 9 15 0 19 15 11 0 ]
[ 14 0 14 9 11 3 2 4 14 14 15 19 10 2 10 17 1 18 19 10 ]
[ 13 15 13 9 5 9 9 4 4 1 5 19 1 19 8 13 2 11 17 16 ]
Original grid (2D)
0 1
2 3
4 5 7 9
6 8 10 11
ADI mapping:
indexX[0] = 0 indexY[0] = 0
indexX[1] = 1 indexY[1] = 2
indexX[2] = 2 indexY[2] = 4
indexX[3] = 3 indexY[3] = 6
indexX[4] = 4 indexY[4] = 1
indexX[5] = 5 indexY[5] = 3
indexX[6] = 7 indexY[6] = 5
indexX[7] = 9 indexY[7] = 8
indexX[8] = 6 indexY[8] = 7
indexX[9] = 8 indexY[9] = 10
indexX[10] = 10 indexY[10] = 9
indexX[11] = 11 indexY[11] = 11
Sparse Matrix Index Array, blocksize 1x1:
0 1 2 2 2
0 1 3 3 3
0 2 3 4 4
1 2 3 5 5
2 4 5 6 6
3 4 5 7 8
4 6 8 8 8
5 7 9 10 10
5 6 8 10 10
7 9 11 11 11
7 8 10 11 11
9 10 11 11 11
Sparse Matrix Index Array, blocksize 2x2:
0 1 2 3 4 5 5 5 5 5 0 1 2 3 4 5 5 5 5 5
0 1 2 3 6 7 7 7 7 7 0 1 2 3 6 7 7 7 7 7
0 1 4 5 6 7 8 9 9 9 0 1 4 5 6 7 8 9 9 9
2 3 4 5 6 7 10 11 11 11 2 3 4 5 6 7 10 11 11 11
4 5 8 9 10 11 12 13 13 13 4 5 8 9 10 11 12 13 13 13
6 7 8 9 10 11 14 15 16 17 6 7 8 9 10 11 14 15 16 17
8 9 12 13 16 17 17 17 17 17 8 9 12 13 16 17 17 17 17 17
10 11 14 15 18 19 20 21 21 21 10 11 14 15 18 19 20 21 21 21
10 11 12 13 16 17 20 21 21 21 10 11 12 13 16 17 20 21 21 21
14 15 18 19 22 23 23 23 23 23 14 15 18 19 22 23 23 23 23 23
14 15 16 17 20 21 22 23 23 23 14 15 16 17 20 21 22 23 23 23
18 19 20 21 22 23 23 23 23 23 18 19 20 21 22 23 23 23 23 23
0 0 55281 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Sparse Matrix Index Array, blocksize 3x3:
0 1 2 3 4 5 6 7 8 8 8 8 8 8 8 0 1 2 3 4 5 6 7 8 8 8 8 8 8 8 0 1 2 3 4 5 6 7 8 8 8 8 8 8 8
0 1 2 3 4 5 9 10 11 11 11 11 11 11 11 0 1 2 3 4 5 9 10 11 11 11 11 11 11 11 0 1 2 3 4 5 9 10 11 11 11 11 11 11 11
0 1 2 6 7 8 9 10 11 12 13 14 14 14 14 0 1 2 6 7 8 9 10 11 12 13 14 14 14 14 0 1 2 6 7 8 9 10 11 12 13 14 14 14 14
3 4 5 6 7 8 9 10 11 15 16 17 17 17 17 3 4 5 6 7 8 9 10 11 15 16 17 17 17 17 3 4 5 6 7 8 9 10 11 15 16 17 17 17 17
6 7 8 12 13 14 15 16 17 18 19 20 20 20 20 6 7 8 12 13 14 15 16 17 18 19 20 20 20 20 6 7 8 12 13 14 15 16 17 18 19 20 20 20 20
9 10 11 12 13 14 15 16 17 21 22 23 24 25 26 9 10 11 12 13 14 15 16 17 21 22 23 24 25 26 9 10 11 12 13 14 15 16 17 21 22 23 24 25 26
12 13 14 18 19 20 24 25 26 26 26 26 26 26 26 12 13 14 18 19 20 24 25 26 26 26 26 26 26 26 12 13 14 18 19 20 24 25 26 26 26 26 26 26 26
15 16 17 21 22 23 27 28 29 30 31 32 32 32 32 15 16 17 21 22 23 27 28 29 30 31 32 32 32 32 15 16 17 21 22 23 27 28 29 30 31 32 32 32 32
15 16 17 18 19 20 24 25 26 30 31 32 32 32 32 15 16 17 18 19 20 24 25 26 30 31 32 32 32 32 15 16 17 18 19 20 24 25 26 30 31 32 32 32 32
21 22 23 27 28 29 33 34 35 35 35 35 35 35 35 21 22 23 27 28 29 33 34 35 35 35 35 35 35 35 21 22 23 27 28 29 33 34 35 35 35 35 35 35 35
21 22 23 24 25 26 30 31 32 33 34 35 35 35 35 21 22 23 24 25 26 30 31 32 33 34 35 35 35 35 21 22 23 24 25 26 30 31 32 33 34 35 35 35 35
27 28 29 30 31 32 33 34 35 35 35 35 35 35 35 27 28 29 30 31 32 33 34 35 35 35 35 35 35 35 27 28 29 30 31 32 33 34 35 35 35 35 35 35 35
0 0 53105 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
f(-135.623) = 3.38332e+08 > f(10) = 9500 < f(100) = 9.9995e+07
GoldenSection: f(2.32079) = -87.0298 after 57 Iterations, (63 function evals).
Brent (2nd Order): f(2.32079) = -87.0298 after 27 Iterations, (27 function evals).
Brent Deriv: f(2.32079) = -87.0298 after 22 Iterations, (22 function evals).
Brent Deriv (approx): f(2.32079) = -87.0298 after 23 Iterations, (69 function evals).
*** Starting performance test - EID matrix format ***
Grid dimensions = 1000x1000, Matrix dimensions = 1000000x1000000, cycles = 50
Matrix memory consumption: 5 x 1000000 x (8Bytes + 4Bytes) = 57.2205 MB
Vector memory consumption: 1000000 x 8Bytes = 7.62939 MB
Total mem for multiply: 2 x vector + matrix = 72.4792 MB
Total mem for one row: 5x8 (A) + 5x4 (index) + nx8 (b) = 0.000102997 MB
Cache per CPU: 8 Mb / NumThreads (1) = 8 MB
Optimal chunk size: 8 / 0.000102997 = 77672.3
Composing index vector and filling matrix.
489 ms Starting multiplication loop: n,k=1000000,50, ops*1e-9 = 0.5
Version 1 5.007844648e+31 0.561 s, 0.891 GFlops
Version 2 5.007844648e+31 0.511 s, 0.978 GFlops
Version 3 5.007844648e+31 0.466 s, 1.07 GFlops
Version 4 5.007844648e+31 0.527 s, 0.948 GFlops
Version 5 5.007844648e+31 0.523 s, 0.957 GFlops
Version 6 5.007844648e+31 0.457 s, 1.09 GFlops
[ 1 2 0 0 0 ]
[ 3 4 5 0 0 ]
[ 0 6 7 0 0 ]
[ 8 9 0 10 0 ]
[ 0 11 12 0 13 ]
iaT 0 3 8 11 12 13
jaT 0 1 3 0 1 2 3 4 1 2 4 3 4
Index vector:
0 1 . 3 . . . . .
0 1 2 . 4 . . . .
. 1 2 . . 5 . . .
0 . . 3 4 . 6 . .
. 1 . 3 4 5 . 7 .
. . 2 . 4 5 . . 8
. . . 3 . . 6 7 .
. . . . 4 . 6 7 8
. . . . . 5 . 7 8
Index out of range. No element at (5,0) in sparsity pattern.
Matrix content:
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
Matrix original
[ 1 2 0 3 0 0 0 0 0 ]
[ 4 5 6 0 7 0 0 0 0 ]
[ 0 8 9 0 0 10 0 0 0 ]
[ 11 0 0 12 13 0 14 0 0 ]
[ 0 15 0 16 17 18 0 19 0 ]
[ 0 0 20 0 21 22 0 0 23 ]
[ 0 0 0 24 0 0 25 26 0 ]
[ 0 0 0 0 27 0 28 29 30 ]
[ 0 0 0 0 0 31 0 32 33 ]
Matrix parsed from ellpack-itpack:
[ 1 2 0 3 0 0 0 0 0 ]
[ 4 5 6 0 7 0 0 0 0 ]
[ 0 8 9 0 0 10 0 0 0 ]
[ 11 0 0 12 13 0 14 0 0 ]
[ 0 15 0 16 17 18 0 19 0 ]
[ 0 0 20 0 21 22 0 0 23 ]
[ 0 0 0 24 0 0 25 26 0 ]
[ 0 0 0 0 27 0 28 29 30 ]
[ 0 0 0 0 0 31 0 32 33 ]
LU-factorization
[ 1 2 0 3 0 0 0 0 0 ]
[ 4 -3 -2 0 -2.33333 0 0 0 0 ]
[ 0 8 25 0 0 0.4 0 0 0 ]
[ 11 0 0 -21 -0.619048 0 -0.666667 0 0 ]
[ 0 15 0 16 61.9048 0.290769 0 0.306923 0 ]
[ 0 0 20 0 21 7.89385 0 0 2.91366 ]
[ 0 0 0 24 0 0 41 0.634146 0 ]
[ 0 0 0 0 27 0 28 2.95698 10.1455 ]
[ 0 0 0 0 0 31 0 32 -381.979 ]
LU-factorization ellpack-itpack:
[ 1 2 0 3 0 0 0 0 0 ]
[ 4 -3 -2 0 -2.33333 0 0 0 0 ]
[ 0 8 25 0 0 0.4 0 0 0 ]
[ 11 0 0 -21 -0.619048 0 -0.666667 0 0 ]
[ 0 15 0 16 61.9048 0.290769 0 0.306923 0 ]
[ 0 0 20 0 21 7.89385 0 0 2.91366 ]
[ 0 0 0 24 0 0 41 0.634146 0 ]
[ 0 0 0 0 27 0 28 2.95698 10.1455 ]
[ 0 0 0 0 0 31 0 32 -381.979 ]
Backsolving result:
[ -0.451381]
[ 0.171368]
[ -0.125269]
[ 0.369548]
[ -0.104898]
[ 0.079838]
[ 0.151727]
[ -0.277724]
[ 0.467036]
Backsolving result ellpack-itpack:
[ -0.451381]
[ 0.171368]
[ -0.125269]
[ 0.369548]
[ -0.104898]
[ 0.079838]
[ 0.151727]
[ -0.277724]
[ 0.467036]
Matrix non-symmetric:
[ 11 2 3 4 5 0 0 0 ] [ 8 ]
[ 6 17 8 9 10 11 0 0 ] [ 7 ]
[ 12 13 24 15 16 17 18 0 ] [ 6 ]
[ 0 19 20 31 22 23 24 25 ] [ 5 ]
[ 0 0 26 27 38 29 30 31 ] [ 4 ]
[ 0 0 0 32 33 44 35 36 ] [ 3 ]
[ 0 0 0 0 37 38 49 40 ] [ 2 ]
[ 0 0 0 0 0 41 42 53 ] [ 1 ]
Backsolving result:
[ 0.636646]
[ 0.160549]
[ -0.030335]
[ -0.00333655]
[ 0.15603]
[ -0.0760725]
[ -0.230669]
[ 0.260511]
Back multiply
[ 8]
[ 7]
[ 6]
[ 5]
[ 4]
[ 3]
[ 2]
[ 1]
A original (symmetric), restored from file:
[ 1 2 0 3 0 0 0 0 0 ]
[ 4 5 6 0 7 0 0 0 0 ]
[ 0 8 9 0 0 10 0 0 0 ]
[ 11 0 0 12 13 0 14 0 0 ]
[ 0 15 0 16 17 18 0 19 0 ]
[ 0 0 20 0 21 22 0 0 23 ]
[ 0 0 0 24 0 0 25 26 0 ]
[ 0 0 0 0 27 0 28 29 30 ]
[ 0 0 0 0 0 31 0 32 33 ]
A original (asymmetric), restored from file:
[ 11 2 3 4 5 0 0 0 ]
[ 6 17 8 9 10 11 0 0 ]
[ 12 13 24 15 16 17 18 0 ]
[ 0 19 20 31 22 23 24 25 ]
[ 0 0 26 27 38 29 30 31 ]
[ 0 0 0 32 33 44 35 36 ]
[ 0 0 0 0 37 38 49 40 ]
[ 0 0 0 0 0 41 42 53 ]
Index vector:
0 1 3 . .
0 1 2 4 .
1 2 5 . .
0 3 4 6 .
1 3 4 5 7
2 4 5 8 .
3 6 7 . .
4 6 7 8 .
5 7 8 . .
Index out of range. No element at (5,0) in sparsity pattern.
Matrix content:
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 . .
Matrix original
[ 1 2 0 3 0 0 0 0 0 ]
[ 4 5 6 0 7 0 0 0 0 ]
[ 0 8 9 0 0 10 0 0 0 ]
[ 11 0 0 12 13 0 14 0 0 ]
[ 0 15 0 16 17 18 0 19 0 ]
[ 0 0 20 0 21 22 0 0 23 ]
[ 0 0 0 24 0 0 25 26 0 ]
[ 0 0 0 0 27 0 28 29 30 ]
[ 0 0 0 0 0 31 0 32 33 ]
[ 1 2 0 3 0 0 0 0 0 ]
[ 4 5 6 0 7 0 0 0 0 ]
[ 0 8 9 0 0 10 0 0 0 ]
[ 11 0 0 12 13 0 14 0 0 ]
[ 0 15 0 16 17 18 0 19 0 ]
[ 0 0 20 0 21 22 0 0 23 ]
[ 0 0 0 24 0 0 25 26 0 ]
[ 0 0 0 0 27 0 28 29 30 ]
[ 0 0 0 0 0 31 0 32 33 ]
Newly composed matrix A:
[ 11 2 3 0 0 0 0 0 ]
[ 4 15 6 7 0 0 0 0 ]
[ 8 9 20 11 12 0 0 0 ]
[ 0 13 14 25 16 17 0 0 ]
[ 0 0 18 19 30 21 22 0 ]
[ 0 0 0 23 24 35 26 27 ]
[ 0 0 0 0 28 29 40 31 ]
[ 0 0 0 0 0 32 33 44 ]
terminate called after throwing an instance of 'IBK::Exception'
what(): 497 bytes written, though only 489 bytes are allocated for matrix storage.
./run_examples.sh: Zeile 12: 234358 Abgebrochen (Speicherabzug geschrieben) "${EXAMPLE}" $@
*** Starting performance test ***
Matrix dimensions 10000x10000, cycles = 5000
Filling matrix and rhs vector.
0 ms done
Starting equation solving loop.
Done.
time(copy) = 132.87 ms
time(lu) = 737.662 ms
time(solve) = 897.558 ms
Square-sum of differences = 0
A b:
[ 4 2 0 0 ] [ 3 ]
[ 5 1 7 0 ] [ 4 ]
[ 0 8 10 0.7 ] [ 5 ]
[ 0 0 3 9 ] [ 19 ]
Writing matrix A to file A.bin
x:
[ 0.592789 ]
[ 0.314422 ]
[ 0.10309 ]
[ 2.07675 ]
r = Ax:
[ 3 ]
[ 4 ]
[ 5 ]
[ 19 ]
Restoring original matrix A from file A.bin
[ 4 2 0 0 ]
[ 5 1 7 0 ]
[ 0 8 10 0.7 ]
[ 0 0 3 9 ]
Finished: SUCCESS
