I can make my observation now a bit more precise, and I am sure that there
is a memory problem.
I used
sage -pip install memory_profiler
Let memory.py be the following file:
###################################################
from memory_profiler import profile
@profile
def check_good(n):
for P in Posets(n):
Q = P.with_bounds()
print get_memory_usage()
@profile
def check_bad(n):
for P in Posets(n):
Q = P.with_bounds()
x = Q.moebius_function(Q.bottom(), Q.top())
print get_memory_usage()
##########################################################
The session below shows that no additional memory is allocated by
check_good and, for n<7 by check_bad(n). However, check_bad(7) allocates
additional memory on every run. Eventually, my computer runs out of memory
and the process is killed :-(
Help is very much appreciated!
Martin
┌────────────────────────────────────────────────────────────────────┐
│ SageMath version 8.5.beta4, Release Date: 2018-11-18 │
│ Using Python 2.7.15. Type "help()" for help. │
└────────────────────────────────────────────────────────────────────┘
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ Warning: this is a prerelease version, and it may be unstable. ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
sage: load('/home/martin/memory.py')
sage: %load_ext memory_profiler
sage: check_bad(3)
6216.8828125
Filename: /home/martin/memory.py
Line # Mem usage Increment Line Contents
================================================
21 210.5 MiB 210.5 MiB @profile
22 def check_bad(n):
23 227.0 MiB 2.9 MiB for P in Posets(n):
24 227.0 MiB 13.5 MiB Q = P.with_bounds()
25 227.0 MiB 0.0 MiB x =
Q.moebius_function(Q.bottom(), Q.top())
26 227.0 MiB 0.0 MiB print get_memory_usage()
sage: check_bad(3)
6217.1328125
Filename: /home/martin/memory.py
Line # Mem usage Increment Line Contents
================================================
21 227.2 MiB 227.2 MiB @profile
22 def check_bad(n):
23 227.2 MiB 0.0 MiB for P in Posets(n):
24 227.2 MiB 0.0 MiB Q = P.with_bounds()
25 227.2 MiB 0.0 MiB x =
Q.moebius_function(Q.bottom(), Q.top())
26 227.2 MiB 0.0 MiB print get_memory_usage()
sage: check_good(7)
6247.0390625
Filename: /home/martin/memory.py
Line # Mem usage Increment Line Contents
================================================
15 227.2 MiB 227.2 MiB @profile
16 def check_good(n):
17 256.9 MiB 18.8 MiB for P in Posets(n):
18 256.9 MiB 10.9 MiB Q = P.with_bounds()
19 256.9 MiB 0.0 MiB print get_memory_usage()
sage: check_good(7)
6247.296875
Filename: /home/martin/memory.py
Line # Mem usage Increment Line Contents
================================================
15 256.9 MiB 256.9 MiB @profile
16 def check_good(n):
17 257.2 MiB 0.3 MiB for P in Posets(n):
18 257.2 MiB 0.0 MiB Q = P.with_bounds()
19 257.2 MiB 0.0 MiB print get_memory_usage()
sage: check_bad(7)
6250.765625
Filename: /home/martin/memory.py
Line # Mem usage Increment Line Contents
================================================
21 257.4 MiB 257.4 MiB @profile
22 def check_bad(n):
23 260.5 MiB 2.6 MiB for P in Posets(n):
24 260.5 MiB 0.5 MiB Q = P.with_bounds()
25 260.5 MiB 0.0 MiB x =
Q.moebius_function(Q.bottom(), Q.top())
26 260.5 MiB 0.0 MiB print get_memory_usage()
sage: check_bad(7)
6255.66796875
Filename: /home/martin/memory.py
Line # Mem usage Increment Line Contents
================================================
21 260.5 MiB 260.5 MiB @profile
22 def check_bad(n):
23 265.4 MiB 3.4 MiB for P in Posets(n):
24 265.4 MiB 1.5 MiB Q = P.with_bounds()
25 265.4 MiB 0.0 MiB x =
Q.moebius_function(Q.bottom(), Q.top())
26 265.4 MiB 0.0 MiB print get_memory_usage()
sage: check_bad(7)
6258.890625
Filename: /home/martin/memory.py
Line # Mem usage Increment Line Contents
================================================
21 265.4 MiB 265.4 MiB @profile
22 def check_bad(n):
23 268.8 MiB 2.8 MiB for P in Posets(n):
24 268.8 MiB 0.5 MiB Q = P.with_bounds()
25 268.8 MiB 0.0 MiB x =
Q.moebius_function(Q.bottom(), Q.top())
26 268.8 MiB 0.0 MiB print get_memory_usage()
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