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
|
import numpy
import time
from string import Template
from simulation import Lattice, Geometry
from symbolic.generator import LBM
import symbolic.D2Q9 as D2Q9
import itertools
lid_speed = 0.1
relaxation_time = 0.52
def MLUPS(cells, steps, time):
return cells * steps / time * 1e-6
def cavity(geometry, x, y):
if x == 1 or y == 1 or x == geometry.size_x-2:
return 2
elif y == geometry.size_y-2:
return 3
else:
return 1
boundary = Template("""
if ( m == 2 ) {
u_0 = 0.0;
u_1 = 0.0;
}
if ( m == 3 ) {
u_0 = $lid_speed;
u_1 = 0.0;
}
""").substitute({
'lid_speed': lid_speed
})
base_2_sizes = {32, 64, 128, 256, 512, 1024, 2048}
base_10_sizes = {50, 100, 200, 400, 600, 800, 1000}
precisions = {'single', 'double'}
base_2_layouts = {
( 16, 1),
( 32, 1),
( 64, 1),
( 128, 1),
( 256, 1),
( 512, 1),
(1024, 1),
}
base_10_layouts = {
( 10, 1),
( 30, 1),
( 50, 1),
( 100, 1),
( 200, 1)
}
base_2_configs = list(filter(
lambda config: config[0] % config[1][0] == 0,
itertools.product(*[base_2_sizes, base_2_layouts, precisions, {True, False}, {True}])
))
align_configs = list(filter(
lambda config: config[0] % config[1][0] == 0,
itertools.product(*[base_10_sizes, base_10_layouts, precisions, {True}, {True, False}])
))
pad_configs = list(filter(
lambda config: config[0] - config[1][0] >= -100,
itertools.product(*[base_10_sizes, base_2_layouts, precisions, {True}, {True}])
))
lbm = LBM(D2Q9)
measurements = []
for size, layout, precision, opti, align in base_2_configs + align_configs + pad_configs:
lattice = Lattice(
descriptor = D2Q9,
geometry = Geometry(size, size),
precision = precision,
layout = layout,
padding = layout,
align = align,
moments = lbm.moments(optimize = opti),
collide = lbm.bgk(f_eq = lbm.equilibrium(), tau = relaxation_time, optimize = opti),
boundary_src = boundary)
lattice.setup_geometry(cavity)
nUpdates = 500
nStat = 100
stats = []
lastStat = time.time()
for i in range(1,nUpdates+1):
lattice.evolve()
if i % nStat == 0:
lattice.sync()
mlups = round(MLUPS(lattice.geometry.volume, nStat, time.time() - lastStat))
stats.append(mlups)
lastStat = time.time()
print('%s: ~%d MLUPS' % ((size, layout, precision, opti, align), numpy.average(stats)))
measurements.append(((size, layout, precision, opti, align), stats))
del lattice
with open('result/ldc_2d_benchmark.data', 'w') as f:
f.write(str(measurements))
|
