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[ 8.29593 ]
[ 4.74443 ]
[ 1.75807 ]
[ 2.26912 ]
[ 2.26012 ]
*** Matrix-Vector multiplication b = A x ***
b <--> b_orig:
./run_examples.sh: Zeile 12: 1641732 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 1 14 12 9 10 17 16 6 10 19 0 19 9 14 0 17 2 16 5 ] [ 19 ]
[ 16 4 13 18 17 3 11 11 12 8 13 14 10 8 6 19 19 4 15 5 ] [ 6 ]
[ 14 15 6 14 5 1 15 3 4 11 8 0 15 1 18 12 5 10 4 18 ] [ 16 ]
[ 18 17 12 8 5 19 8 5 4 3 10 18 19 17 13 4 18 8 8 3 ] [ 16 ]
[ 19 17 3 15 19 2 8 4 12 12 3 11 10 16 19 16 15 7 1 0 ] [ 19 ]
[ 11 12 18 11 9 12 16 8 0 4 11 19 1 15 15 0 18 3 5 10 ] [ 11 ]
[ 15 8 1 6 4 1 2 0 9 3 1 0 15 0 12 5 12 8 13 12 ] [ 5 ]
[ 12 4 12 14 19 7 15 17 10 0 8 6 9 10 12 14 12 14 15 1 ] [ 13 ]
[ 18 16 2 14 16 14 19 8 2 12 1 15 17 13 10 16 0 5 14 11 ] [ 11 ]
[ 5 3 17 15 13 10 10 6 5 5 7 3 2 10 17 18 4 17 7 7 ] [ 0 ]
[ 9 8 2 6 1 13 3 2 18 18 14 4 1 11 19 15 2 9 1 7 ] [ 15 ]
[ 15 9 11 17 19 8 16 4 6 3 11 15 12 14 2 14 7 6 16 5 ] [ 12 ]
[ 4 11 10 6 2 9 2 5 19 4 12 14 14 3 12 13 12 8 18 18 ] [ 8 ]
[ 12 9 14 4 4 16 18 12 3 15 18 8 6 8 14 9 18 17 14 17 ] [ 0 ]
[ 2 7 12 16 10 4 10 3 12 8 2 4 18 16 9 2 13 7 15 16 ] [ 11 ]
[ 3 13 5 9 1 0 18 19 17 13 17 19 0 9 15 11 14 6 15 6 ] [ 1 ]
[ 14 17 11 12 13 1 15 7 8 10 3 11 3 8 1 5 8 19 5 6 ] [ 19 ]
[ 13 2 6 13 11 1 5 6 8 0 12 2 17 4 14 11 5 10 18 14 ] [ 0 ]
[ 0 2 6 4 10 7 9 19 7 14 6 1 17 12 14 9 14 0 15 2 ] [ 0 ]
[ 0 8 4 18 12 19 9 18 9 7 13 10 10 0 14 0 7 4 0 15 ] [ 9 ]
*** Equation system solving with LU and backsolving ***
A = LU with main diagonal of L set to 1 and not stored:
x:
0.58
-2.1
1.1
-2.1
0.91
-0.29
2.7
-1.3
2.5
0.17
-0.42
1.5
2
-1
0.75
-0.96
-0.81
0.21
-2.1
-0.51
*** Matrix-Vector multiplication b = A x ***
[ 1 1 14 12 9 10 17 16 6 10 19 0 19 9 14 0 17 2 16 5 ] [ 0.58 ]
[ 16 4 13 18 17 3 11 11 12 8 13 14 10 8 6 19 19 4 15 5 ] [ -2.1 ]
[ 14 15 6 14 5 1 15 3 4 11 8 0 15 1 18 12 5 10 4 18 ] [ 1.1 ]
[ 18 17 12 8 5 19 8 5 4 3 10 18 19 17 13 4 18 8 8 3 ] [ -2.1 ]
[ 19 17 3 15 19 2 8 4 12 12 3 11 10 16 19 16 15 7 1 0 ] [ 0.91 ]
[ 11 12 18 11 9 12 16 8 0 4 11 19 1 15 15 0 18 3 5 10 ] [ -0.29 ]
[ 15 8 1 6 4 1 2 0 9 3 1 0 15 0 12 5 12 8 13 12 ] [ 2.7 ]
[ 12 4 12 14 19 7 15 17 10 0 8 6 9 10 12 14 12 14 15 1 ] [ -1.3 ]
[ 18 16 2 14 16 14 19 8 2 12 1 15 17 13 10 16 0 5 14 11 ] [ 2.5 ]
[ 5 3 17 15 13 10 10 6 5 5 7 3 2 10 17 18 4 17 7 7 ] [ 0.17 ]
[ 9 8 2 6 1 13 3 2 18 18 14 4 1 11 19 15 2 9 1 7 ] [ -0.42 ]
[ 15 9 11 17 19 8 16 4 6 3 11 15 12 14 2 14 7 6 16 5 ] [ 1.5 ]
[ 4 11 10 6 2 9 2 5 19 4 12 14 14 3 12 13 12 8 18 18 ] [ 2 ]
[ 12 9 14 4 4 16 18 12 3 15 18 8 6 8 14 9 18 17 14 17 ] [ -1 ]
[ 2 7 12 16 10 4 10 3 12 8 2 4 18 16 9 2 13 7 15 16 ] [ 0.75 ]
[ 3 13 5 9 1 0 18 19 17 13 17 19 0 9 15 11 14 6 15 6 ] [ -0.96 ]
[ 14 17 11 12 13 1 15 7 8 10 3 11 3 8 1 5 8 19 5 6 ] [ -0.81 ]
[ 13 2 6 13 11 1 5 6 8 0 12 2 17 4 14 11 5 10 18 14 ] [ 0.21 ]
[ 0 2 6 4 10 7 9 19 7 14 6 1 17 12 14 9 14 0 15 2 ] [ -2.1 ]
[ 0 8 4 18 12 19 9 18 9 7 13 10 10 0 14 0 7 4 0 15 ] [ -0.51 ]
b <--> b_orig:
19 <--> 19
6 <--> 6
16 <--> 16
16 <--> 16
19 <--> 19
11 <--> 11
5 <--> 5
13 <--> 13
11 <--> 11
-5.8e-15 <--> 0
15 <--> 15
12 <--> 12
8 <--> 8
-1.8e-15 <--> 0
11 <--> 11
1 <--> 1
19 <--> 19
-4.4e-15 <--> 0
-9.8e-15 <--> 0
9 <--> 9
Original Matrix A, restored
[ 1 1 14 12 9 10 17 16 6 10 19 0 19 9 14 0 17 2 16 5 ]
[ 16 4 13 18 17 3 11 11 12 8 13 14 10 8 6 19 19 4 15 5 ]
[ 14 15 6 14 5 1 15 3 4 11 8 0 15 1 18 12 5 10 4 18 ]
[ 18 17 12 8 5 19 8 5 4 3 10 18 19 17 13 4 18 8 8 3 ]
[ 19 17 3 15 19 2 8 4 12 12 3 11 10 16 19 16 15 7 1 0 ]
[ 11 12 18 11 9 12 16 8 0 4 11 19 1 15 15 0 18 3 5 10 ]
[ 15 8 1 6 4 1 2 0 9 3 1 0 15 0 12 5 12 8 13 12 ]
[ 12 4 12 14 19 7 15 17 10 0 8 6 9 10 12 14 12 14 15 1 ]
[ 18 16 2 14 16 14 19 8 2 12 1 15 17 13 10 16 0 5 14 11 ]
[ 5 3 17 15 13 10 10 6 5 5 7 3 2 10 17 18 4 17 7 7 ]
[ 9 8 2 6 1 13 3 2 18 18 14 4 1 11 19 15 2 9 1 7 ]
[ 15 9 11 17 19 8 16 4 6 3 11 15 12 14 2 14 7 6 16 5 ]
[ 4 11 10 6 2 9 2 5 19 4 12 14 14 3 12 13 12 8 18 18 ]
[ 12 9 14 4 4 16 18 12 3 15 18 8 6 8 14 9 18 17 14 17 ]
[ 2 7 12 16 10 4 10 3 12 8 2 4 18 16 9 2 13 7 15 16 ]
[ 3 13 5 9 1 0 18 19 17 13 17 19 0 9 15 11 14 6 15 6 ]
[ 14 17 11 12 13 1 15 7 8 10 3 11 3 8 1 5 8 19 5 6 ]
[ 13 2 6 13 11 1 5 6 8 0 12 2 17 4 14 11 5 10 18 14 ]
[ 0 2 6 4 10 7 9 19 7 14 6 1 17 12 14 9 14 0 15 2 ]
[ 0 8 4 18 12 19 9 18 9 7 13 10 10 0 14 0 7 4 0 15 ]
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.
445 ms Starting multiplication loop: n,k=1000000,50, ops*1e-9 = 0.5
Version 1 5.010725497e+31 0.508 s, 0.984 GFlops
Version 2 5.010725497e+31 0.447 s, 1.12 GFlops
Version 3 5.010725497e+31 0.429 s, 1.17 GFlops
Version 4 5.010725497e+31 0.488 s, 1.03 GFlops
Version 5 5.010725497e+31 0.468 s, 1.07 GFlops
Version 6 5.010725497e+31 0.428 s, 1.17 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: 1641744 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) = 128.991 ms
time(lu) = 706.261 ms
time(solve) = 872.231 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
