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Merge branch 'coryab/code' into janitaws/latex

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Janita Willumsen 2023-12-04 13:45:18 +01:00
commit 08a6b32adb
122 changed files with 2213 additions and 1113 deletions
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19
.gitignore vendored
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@ -41,17 +41,8 @@
latex/*.pdf latex/*.pdf
latex/*Notes.bib latex/*Notes.bib
# C++
# C++ specifics build
src/* bin
!src/Makefile prof
!src/*.cpp debug
!src/*.hpp
!src/*.py
!src/scripts
!src/output
!src/fox_output
# Job
!src/jobs/*

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Makefile Normal file
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# The compiler
CC=mpicxx
# Flags
CFLAGS=-Wall -larmadillo -std=c++11 -O3 -fopenmp
PROFFLAGS=-fno-inline-functions
DBGFLAGS=-DDBG -g
MKDIR=mkdir -p
RMDIR=rm -rf
INSTRUMENT=scorep
# Directories for binaries
BINDIR=./bin
PROFDIR=./prof
DEBUGDIR=./debug
# Directories for object files
BUILDDIR=./build
BINOBJDIR=$(BUILDDIR)/objs
PROFOBJDIR=$(BUILDDIR)/prof
DEBUGOBJDIR=$(BUILDDIR)/debug
# Directory for latex source
LATEXDIR=./latex
# Source directories
SRC=./src
INCLUDE=./include
# Source files and object file locations
SRCFILES=utils.cpp testlib.cpp data_type.cpp IsingModel.cpp monte_carlo.cpp
SRCS=$(addprefix $(SRC)/, $(SRCS))
BINOBJS=$(addprefix $(BINOBJDIR)/, $(SRCFILES:.cpp=.o))
PROFOBJS=$(addprefix $(PROFOBJDIR)/, $(SRCFILES:.cpp=.o))
DEBUGOBJS=$(addprefix $(DEBUGOBJDIR)/, $(SRCFILES:.cpp=.o))
# Location for Binaries
EXEC=main test_suite phase_transition phase_transition_mpi time pd_estimate mcmc_progression
BINS=$(addprefix $(BINDIR)/, $(EXEC))
PROFBINS=$(PROFDIR)/phase_transition_mpi
DEBUGBINS=$(addprefix $(DEBUGDIR)/, $(EXEC))
# List phony targets
.PHONY: all profile debug latex clean binclean objclean latexclean
# "Commands"
all: $(BINS)
profile: $(PROFBINS)
debug: $(DEBUGBINS)
# build latex file
latex:
$(MAKE) -C $(LATEXDIR)
# Rule for binaries
$(BINDIR)/%: $(BINOBJDIR)/%.o $(BINOBJS)
$(MKDIR) $(BINDIR)
$(CC) $^ -o $@ $(CFLAGS) -I$(INCLUDE)
# Rule for profiling binaries
$(PROFDIR)/%: $(PROFOBJDIR)/%.o $(PROFOBJS)
$(MKDIR) $(PROFDIR)
$(INSTRUMENT) $(CC) $^ -o $@ $(CFLAGS) $(PROFFLAGS) -I$(INCLUDE)
# Rule for debug binaries
$(DEBUGDIR)/%: $(DEBUGOBJDIR)/%.o $(DEBUGOBJS)
$(MKDIR) $(DEBUGDIR)
$(CC) $^ -o $@ $(CFLAGS) $(DBGFLAGS) -I$(INCLUDE)
# Rule for object files
$(BINOBJDIR)/%.o: $(SRC)/%.cpp
$(MKDIR) $(BINOBJDIR)
$(CC) -c $^ -o $@ $(CFLAGS) -I$(INCLUDE)
# Rule for instrumented object files
$(PROFOBJDIR)/%.o: $(SRC)/%.cpp
$(MKDIR) $(PROFOBJDIR)
$(INSTRUMENT) $(CC) -c $^ -o $@ $(CFLAGS) $(PROFFLAGS) -I$(INCLUDE)
# Rule for debug object files
$(DEBUGOBJDIR)/%.o: $(SRC)/%.cpp
$(MKDIR) $(DEBUGOBJDIR)
$(CC) -c $^ -o $@ $(CFLAGS) $(DBGFLAGS) -I$(INCLUDE)
# Cleaning
clean: objclean binclean latexclean
latexclean:
$(MAKE) -C $(LATEXDIR) clean
objclean:
$(RMDIR) $(BUILDDIR)
binclean:
$(RMDIR) $(BINDIR) $(PROFDIR) $(DEBUGDIR)

105
README.md
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@ -19,13 +19,12 @@
### Tools ### Tools
- Profiling - Profiling
- [gprof](https://ftp.gnu.org/old-gnu/Manuals/gprof-2.9.1/html_mono/gprof.html)
- [scalasca](https://www.scalasca.org/)
- [score-p](https://www.vi-hps.org/projects/score-p) - [score-p](https://www.vi-hps.org/projects/score-p)
### Libraries ### Libraries
- Python - Python
- [matplotlib](https://matplotlib.org/) - [matplotlib](https://matplotlib.org/)
- [numpy](https://numpy.org/) - [numpy](https://numpy.org/)
@ -34,23 +33,55 @@
- [OpenMPI](https://www.open-mpi.org/) - [OpenMPI](https://www.open-mpi.org/)
- [Armadillo](https://arma.sourceforge.net/) - [Armadillo](https://arma.sourceforge.net/)
## Compiling ## Compiling
Compiling is as easy as running this command while being inside the src directory: The commands shown here should be run from the root of this project.
### Normal binaries
Compiling regular binaries is as easy as running this command:
```shell ```shell
make make
``` ```
The binaries will then be inside the **./bin** directory.
### Profiling binaries
If you want to profile the programs (specifically the MPI program), then run this command
```shell
make profile
```
The binaries will then be inside the **./prof** directory.
### Debugging binaries
If you want to debug the code, then use this command:
```shell
make debug
```
The binaries will then be inside the **./debug** directory.
## Running programs ## Running programs
### C++ binaries ### C++ binaries
To run **main** or **test_suite**, just run this command while being inside src: To run any of the programs, just use the following command:
```shell ```shell
./<program-name> ./<bin|prof|debug>/<program-name> <args>
```
If you need help with any of the programs, you can use the **-h** or **--help**
flag to show you how to use the programs. Here is an example:
```shell
./bin/main --help
``` ```
### Python scripts ### Python scripts
@ -68,46 +99,51 @@ This recursively install all the packages that are listed in **requirements.txt*
#### Running scripts #### Running scripts
For the Python scripts, run them from the src directory like this: For the Python scripts, run them from the root of the project:
```shell ```shell
python scripts/<script-name> python python_scripts/<script-name>
``` ```
If you have any problems running the scripts, you might have to run this instead: If you have any problems running the scripts, you might have to run this instead:
```shell ```shell
python3 scripts/<script-name> python3 python_scripts/<script-name>
``` ```
### Batch system ### Batch system
For the **phase_transition_mpi** program, there are scripts in the **src/jobs** For the **phase_transition_mpi** program, there are scripts in the **./slurm_scripts**
directory that come along with it. This is to be able to run it on a directory that come along with it. This is to be able to run it on a
batch system using Slurm if you have access to one. batch system using Slurm if you have access to one.
The only program that should be executed by the user is the **./slurm_scripts/execute.script**
script. You can see how to use this script by doing:
```shell
./slurm_scripts/execute.script --help
```
This is the recommended way to use this program as it takes approximately 90 This is the recommended way to use this program as it takes approximately 90
minutes to complete when using 8 processes where each process has 10 threads. minutes to complete when using 8 processes where each process has 10 threads.
If you happen to have such a system available to you, then you should clone If you happen to have such a system available to you, then you should clone
this repo on that system, then compile it by running: this repo on that system, then compile the MPI program like this:
```shell ```shell
make phase_transition_mpi make bin/phase_transition_mpi
``` ```
You might have to load the Armadillo library using the **module** system before compiling. After compiling, you can schedule it by using the **./slurm_scripts/execute.script**:
After compiling, you can schedule it by running:
```shell ```shell
sbatch jobs/<script-name> ./slurm_scripts/execute.script <parameters>
``` ```
## Performance ## Performance
This section aims to give an idea to the time it takes for the program to This section aims to give an idea to the time it takes for the phase transition
run so that you know a bit what to expect if you decide to run it for program to run so that you know a bit what to expect if you decide to run it
yourself. for yourself.
### CPU ### CPU
@ -123,6 +159,37 @@ specifications:
### Times ### Times
Note that all times here are recorded using the OpenMP implementation of the
MCMC algorithm.
| lattice size | points | samples | burn-in time | time (seconds) |
| ------------ | ------ | ------- | ------------ | -------------- |
| 20 | 20 | 100000 | 0 | 3.20 |
| 20 | 40 | 100000 | 0 | 6.17 |
| 20 | 80 | 100000 | 0 | 12.11 |
| lattice size | points | samples | burn-in time | time (seconds) |
| ------------ | ------ | ------- | ------------ | -------------- |
| 20 | 20 | 100000 | 0 | 3.20 |
| 40 | 20 | 100000 | 0 | 11.91 |
| 80 | 20 | 100000 | 0 | 47.88 |
| lattice size | points | samples | burn-in time | time (seconds) |
| ------------ | ------ | -------- | ------------ | -------------- |
| 20 | 20 | 100000 | 0 | 3.20 |
| 20 | 20 | 1000000 | 0 | 29.95 |
| 20 | 20 | 10000000 | 0 | 305.849 |
| lattice size | points | samples | burn-in time | time (seconds) |
| ------------ | ------ | ------- | ------------ | -------------- |
| 20 | 20 | 100000 | 0 | 3.20 |
| 20 | 20 | 100000 | 5000 | 4.93 |
| 20 | 20 | 100000 | 10000 | 6.58 |
We can see that changing the number of points, samples and burn-in time
changes the time in a linear fashion, while changing the size of the lattice
changes the time in a square fashion.
## Credits ## Credits
The Doxygen theme used here is The Doxygen theme used here is

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@ -0,0 +1,40 @@
2.1000000000e+00, -1.6620471860e+00, 8.6837847062e-01, 9.6987901915e-01, 2.1418681981e+00
2.1075000000e+00, -1.6547036218e+00, 8.6419527824e-01, 9.9055450045e-01, 1.5516821620e+00
2.1150000000e+00, -1.6471712127e+00, 8.5889498242e-01, 1.0307044416e+00, 5.0154079785e+00
2.1225000000e+00, -1.6394554821e+00, 8.5410134604e-01, 1.0554197754e+00, 5.0853102382e+00
2.1300000000e+00, -1.6317009068e+00, 8.5030836330e-01, 1.0644327099e+00, 1.3879469469e+00
2.1375000000e+00, -1.6235855819e+00, 8.4457168236e-01, 1.0964297345e+00, 3.2163187667e+00
2.1450000000e+00, -1.6153651211e+00, 8.3921329408e-01, 1.1282891384e+00, 2.8603834041e+00
2.1525000000e+00, -1.6069284413e+00, 8.3381877564e-01, 1.1501591168e+00, 1.8910182298e+00
2.1600000000e+00, -1.5981165811e+00, 8.2747150680e-01, 1.1817661410e+00, 2.1354099415e+00
2.1675000000e+00, -1.5891378106e+00, 8.2084448842e-01, 1.2197566339e+00, 2.4155794425e+00
2.1750000000e+00, -1.5797094049e+00, 8.1321068938e-01, 1.2641513812e+00, 3.0149765488e+00
2.1825000000e+00, -1.5701584039e+00, 8.0541423312e-01, 1.3124122049e+00, 3.9587707947e+00
2.1900000000e+00, -1.5603483824e+00, 7.9735695412e-01, 1.3476320531e+00, 3.8540398382e+00
2.1975000000e+00, -1.5500480560e+00, 7.8831603064e-01, 1.3922915052e+00, 4.3804288919e+00
2.2050000000e+00, -1.5392950705e+00, 7.7778908650e-01, 1.4515119877e+00, 5.5484814383e+00
2.2125000000e+00, -1.5281208523e+00, 7.6629541204e-01, 1.5125757969e+00, 6.9204334142e+00
2.2200000000e+00, -1.5166346270e+00, 7.5366782028e-01, 1.5796162879e+00, 8.9312669120e+00
2.2275000000e+00, -1.5044004974e+00, 7.3859931438e-01, 1.6675760695e+00, 1.1992997980e+01
2.2350000000e+00, -1.4915752215e+00, 7.2154055728e-01, 1.7572918622e+00, 1.5859942066e+01
2.2425000000e+00, -1.4779456611e+00, 6.9995845836e-01, 1.8877650612e+00, 2.5128222072e+01
2.2500000000e+00, -1.4631248324e+00, 6.7183295970e-01, 2.0375643049e+00, 4.0950597375e+01
2.2575000000e+00, -1.4483340448e+00, 6.4481081136e-01, 2.1363904619e+00, 5.0989634294e+01
2.2650000000e+00, -1.4301678584e+00, 5.9447742824e-01, 2.3549214218e+00, 8.6520442728e+01
2.2725000000e+00, -1.4125256168e+00, 5.4541705588e-01, 2.4409857833e+00, 1.1143673443e+02
2.2800000000e+00, -1.3932486989e+00, 4.7747014982e-01, 2.4869007197e+00, 1.4756130892e+02
2.2875000000e+00, -1.3758151084e+00, 4.2227933526e-01, 2.3765851530e+00, 1.5334621858e+02
2.2950000000e+00, -1.3584812141e+00, 3.6214249800e-01, 2.2164213315e+00, 1.5204633512e+02
2.3025000000e+00, -1.3428821801e+00, 3.1406428052e-01, 2.0388367451e+00, 1.3861456664e+02
2.3100000000e+00, -1.3281767473e+00, 2.7180898806e-01, 1.8560155209e+00, 1.2007248997e+02
2.3175000000e+00, -1.3147565932e+00, 2.3751001854e-01, 1.7054312111e+00, 1.0111227357e+02
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2.3325000000e+00, -1.2909072244e+00, 1.9102327048e-01, 1.5158086569e+00, 7.4343094525e+01
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2.3550000000e+00, -1.2586897696e+00, 1.4379981552e-01, 1.3288944041e+00, 4.5759935334e+01
2.3625000000e+00, -1.2488592337e+00, 1.3380434730e-01, 1.2871413834e+00, 4.0125030469e+01
2.3700000000e+00, -1.2393790596e+00, 1.2494057972e-01, 1.2462862615e+00, 3.5082953700e+01
2.3775000000e+00, -1.2301411634e+00, 1.1821908046e-01, 1.2175194819e+00, 3.1990631554e+01
2.3850000000e+00, -1.2211819087e+00, 1.1084843416e-01, 1.1803579575e+00, 2.8150549990e+01
2.3925000000e+00, -1.2124257007e+00, 1.0527035490e-01, 1.1487733808e+00, 2.5296046050e+01

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@ -0,0 +1,40 @@
2.1000000000e+00, -1.6622528070e+00, 8.6880915500e-01, 9.6239316922e-01, 9.5212282251e-01
2.1075000000e+00, -1.6547466880e+00, 8.6426446250e-01, 9.8568668070e-01, 1.0606086002e+00
2.1150000000e+00, -1.6473733840e+00, 8.6007684050e-01, 1.0068394779e+00, 1.1148792535e+00
2.1225000000e+00, -1.6395861480e+00, 8.5518518350e-01, 1.0343943640e+00, 1.2324309483e+00
2.1300000000e+00, -1.6314132270e+00, 8.5002981000e-01, 1.0616707461e+00, 1.3481443589e+00
2.1375000000e+00, -1.6236834090e+00, 8.4511414300e-01, 1.0853696854e+00, 1.4619561069e+00
2.1450000000e+00, -1.6156703270e+00, 8.3992619550e-01, 1.1116490731e+00, 1.5835111870e+00
2.1525000000e+00, -1.6068605780e+00, 8.3370922550e-01, 1.1449166697e+00, 1.7649671682e+00
2.1600000000e+00, -1.5982437110e+00, 8.2788822850e-01, 1.1705193552e+00, 1.8981076553e+00
2.1675000000e+00, -1.5892297800e+00, 8.2140612200e-01, 1.2028598884e+00, 2.0786506142e+00
2.1750000000e+00, -1.5803012150e+00, 8.1507840300e-01, 1.2290730057e+00, 2.2390879297e+00
2.1825000000e+00, -1.5713317960e+00, 8.0845139750e-01, 1.2601658304e+00, 2.4161179891e+00
2.1900000000e+00, -1.5614643610e+00, 8.0038829950e-01, 1.2958486101e+00, 2.7080794942e+00
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2.2425000000e+00, -1.4869949950e+00, 7.3532944700e-01, 1.5242443492e+00, 4.8138149636e+00
2.2500000000e+00, -1.4755208370e+00, 7.2427309400e-01, 1.5494194180e+00, 5.1799770840e+00
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2.3325000000e+00, -1.3407528720e+00, 5.7756805350e-01, 1.6414055091e+00, 8.5559261751e+00
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2.3475000000e+00, -1.3161797220e+00, 5.4862106600e-01, 1.6102371340e+00, 8.8576819784e+00
2.3550000000e+00, -1.3047913030e+00, 5.3546741300e-01, 1.5902774218e+00, 8.9258956374e+00
2.3625000000e+00, -1.2923619650e+00, 5.2001313450e-01, 1.5634557468e+00, 9.0070643081e+00
2.3700000000e+00, -1.2809659240e+00, 5.0623037950e-01, 1.5341348723e+00, 9.0528915306e+00
2.3775000000e+00, -1.2691424380e+00, 4.9201866550e-01, 1.5027036651e+00, 9.0511938906e+00
2.3850000000e+00, -1.2580611990e+00, 4.7877589400e-01, 1.4740335328e+00, 8.9969868813e+00
2.3925000000e+00, -1.2474349490e+00, 4.6652526800e-01, 1.4409392754e+00, 8.9108344581e+00

40
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@ -0,0 +1,40 @@
2.1000000000e+00, -1.6620890500e+00, 8.6878439100e-01, 9.6254309255e-01, 9.4150920982e-01
2.1075000000e+00, -1.6548179380e+00, 8.6456392875e-01, 9.8477459730e-01, 1.0273234014e+00
2.1150000000e+00, -1.6472381530e+00, 8.5992612000e-01, 1.0116370041e+00, 1.1651341675e+00
2.1225000000e+00, -1.6396535407e+00, 8.5540678350e-01, 1.0310553746e+00, 1.2300692954e+00
2.1300000000e+00, -1.6317551280e+00, 8.5043887187e-01, 1.0618596639e+00, 1.3522717064e+00
2.1375000000e+00, -1.6237664988e+00, 8.4525669800e-01, 1.0905898589e+00, 1.4947867934e+00
2.1450000000e+00, -1.6154652197e+00, 8.3971780137e-01, 1.1191601397e+00, 1.6879726623e+00
2.1525000000e+00, -1.6069655835e+00, 8.3390703637e-01, 1.1496442564e+00, 1.8486914676e+00
2.1600000000e+00, -1.5981715542e+00, 8.2740224363e-01, 1.1861726464e+00, 2.1788207390e+00
2.1675000000e+00, -1.5889084872e+00, 8.2053559200e-01, 1.2222690350e+00, 2.4203728383e+00
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40
data/fox/phase_transition/wide/10M/size_500.txt Normal file
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40
data/fox/phase_transition/wide/10M/size_60.txt Normal file
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40
data/fox/phase_transition/wide/10M/size_80.txt Normal file
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40
data/fox/phase_transition/wide/1M/size_100.txt Normal file
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40
data/fox/phase_transition/wide/1M/size_20.txt Normal file
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40
data/fox/phase_transition/wide/1M/size_40.txt Normal file
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40
data/fox/phase_transition/wide/1M/size_500.txt Normal file
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@ -0,0 +1,40 @@
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2.3925000000e+00, -1.2124954842e+00, 2.0222789768e-02, 1.1475795017e+00, 2.4301031288e+01

40
data/fox/phase_transition/wide/1M/size_60.txt Normal file
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@ -0,0 +1,40 @@
2.1000000000e+00, -1.6621374444e+00, 8.6880037278e-01, 9.6310382294e-01, 9.5184320173e-01
2.1075000000e+00, -1.6548363000e+00, 8.6472097556e-01, 9.8218155041e-01, 9.9613041622e-01
2.1150000000e+00, -1.6470161222e+00, 8.5881513722e-01, 1.0273822711e+00, 2.6006282047e+00
2.1225000000e+00, -1.6394751122e+00, 8.5508365944e-01, 1.0464819658e+00, 1.3561769059e+00
2.1300000000e+00, -1.6317157522e+00, 8.5019721611e-01, 1.0582430200e+00, 1.3887887313e+00
2.1375000000e+00, -1.6234471956e+00, 8.4483037500e-01, 1.1029577415e+00, 1.5443726636e+00
2.1450000000e+00, -1.6154387656e+00, 8.3991471833e-01, 1.1153045909e+00, 1.6149448529e+00
2.1525000000e+00, -1.6069498533e+00, 8.3396505278e-01, 1.1540640039e+00, 1.8570758622e+00
2.1600000000e+00, -1.5980379211e+00, 8.2737086333e-01, 1.1866990327e+00, 2.1177261362e+00
2.1675000000e+00, -1.5892331800e+00, 8.2107258056e-01, 1.2198523918e+00, 2.3591055352e+00
2.1750000000e+00, -1.5796912089e+00, 8.1340622500e-01, 1.2619910204e+00, 2.7896689197e+00
2.1825000000e+00, -1.5701141578e+00, 8.0571700444e-01, 1.3011720635e+00, 3.2519530615e+00
2.1900000000e+00, -1.5609880644e+00, 7.9872172500e-01, 1.3422740497e+00, 3.6920546784e+00
2.1975000000e+00, -1.5504511233e+00, 7.8945491889e-01, 1.3881209324e+00, 4.2586373002e+00
2.2050000000e+00, -1.5402254589e+00, 7.7950725500e-01, 1.4293549661e+00, 5.4285162896e+00
2.2125000000e+00, -1.5285299244e+00, 7.6747972667e-01, 1.5108159132e+00, 6.4369502445e+00
2.2200000000e+00, -1.5160477078e+00, 7.5123072833e-01, 1.6099218983e+00, 9.8468114355e+00
2.2275000000e+00, -1.5054135822e+00, 7.4219906444e-01, 1.6410408618e+00, 9.5186325290e+00
2.2350000000e+00, -1.4918189333e+00, 7.2506985278e-01, 1.7008689450e+00, 1.1240915917e+01
2.2425000000e+00, -1.4788734011e+00, 7.0252808333e-01, 1.8769214986e+00, 2.0763895436e+01
2.2500000000e+00, -1.4650525922e+00, 6.8465015556e-01, 1.9011676055e+00, 2.0772215967e+01
2.2575000000e+00, -1.4471524167e+00, 6.4353316667e-01, 2.0782355413e+00, 3.6222049561e+01
2.2650000000e+00, -1.4332974878e+00, 6.2144001611e-01, 2.1473317631e+00, 4.0069280817e+01
2.2725000000e+00, -1.4162593722e+00, 5.8452624833e-01, 2.1993538485e+00, 4.6706028622e+01
2.2800000000e+00, -1.3993857089e+00, 5.4166454722e-01, 2.2638212660e+00, 5.7272948612e+01
2.2875000000e+00, -1.3855448700e+00, 5.1899580278e-01, 2.1843326929e+00, 5.6273828563e+01
2.2950000000e+00, -1.3673432000e+00, 4.7456821556e-01, 2.1635728279e+00, 6.0439390642e+01
2.3025000000e+00, -1.3519606633e+00, 4.3713216111e-01, 2.0655434070e+00, 6.2153569048e+01
2.3100000000e+00, -1.3371129189e+00, 4.0223401111e-01, 1.9605092565e+00, 6.0794217382e+01
2.3175000000e+00, -1.3216065278e+00, 3.6184146444e-01, 1.8670689828e+00, 5.9338122858e+01
2.3250000000e+00, -1.3075071989e+00, 3.2874724667e-01, 1.7603843326e+00, 5.6709492859e+01
2.3325000000e+00, -1.2949128233e+00, 3.0075970500e-01, 1.6429460860e+00, 5.1702163253e+01
2.3400000000e+00, -1.2830647767e+00, 2.7998198000e-01, 1.5481828326e+00, 4.6003396556e+01
2.3475000000e+00, -1.2711644544e+00, 2.5661422333e-01, 1.4609137814e+00, 4.1337336586e+01
2.3550000000e+00, -1.2606927467e+00, 2.3942903556e-01, 1.4095712913e+00, 3.8627558690e+01
2.3625000000e+00, -1.2512289344e+00, 2.2948117056e-01, 1.3584028126e+00, 3.5546239076e+01
2.3700000000e+00, -1.2402958922e+00, 2.0912210222e-01, 1.2950851543e+00, 3.0943889862e+01
2.3775000000e+00, -1.2308948700e+00, 1.9323292556e-01, 1.2374475507e+00, 2.8359189498e+01
2.3850000000e+00, -1.2216211878e+00, 1.8725841833e-01, 1.2046635072e+00, 2.5974863667e+01
2.3925000000e+00, -1.2132363211e+00, 1.7718845167e-01, 1.1618116031e+00, 2.3798040566e+01

40
data/fox/phase_transition/wide/1M/size_80.txt Normal file
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@ -0,0 +1,40 @@
2.1000000000e+00, -1.6620294612e+00, 8.6867685625e-01, 9.6366077937e-01, 9.5567403867e-01
2.1075000000e+00, -1.6543594356e+00, 8.6235023375e-01, 1.0202846124e+00, 5.3255936997e+00
2.1150000000e+00, -1.6470931856e+00, 8.5983486781e-01, 1.0090775225e+00, 1.1363784078e+00
2.1225000000e+00, -1.6393608575e+00, 8.5299281594e-01, 1.0733043489e+00, 6.5757689162e+00
2.1300000000e+00, -1.6317870487e+00, 8.5047987531e-01, 1.0580594378e+00, 1.3454562425e+00
2.1375000000e+00, -1.6236384887e+00, 8.4520665562e-01, 1.0953794604e+00, 1.5155089196e+00
2.1450000000e+00, -1.6151493825e+00, 8.3899040000e-01, 1.1230195561e+00, 2.0189161598e+00
2.1525000000e+00, -1.6066627037e+00, 8.3298220875e-01, 1.1572561520e+00, 2.3711098064e+00
2.1600000000e+00, -1.5978830837e+00, 8.2696963500e-01, 1.1954055223e+00, 2.2967963781e+00
2.1675000000e+00, -1.5892290288e+00, 8.2093539937e-01, 1.2155121890e+00, 2.4563605008e+00
2.1750000000e+00, -1.5795307087e+00, 8.1157015531e-01, 1.2820283812e+00, 6.8190804152e+00
2.1825000000e+00, -1.5701937869e+00, 8.0598879625e-01, 1.3034749028e+00, 3.1489004002e+00
2.1900000000e+00, -1.5602793275e+00, 7.9746370062e-01, 1.3603431032e+00, 3.7641337201e+00
2.1975000000e+00, -1.5498111062e+00, 7.8805819406e-01, 1.3877441228e+00, 4.2585090550e+00
2.2050000000e+00, -1.5398495719e+00, 7.7899755937e-01, 1.4347231348e+00, 5.0633503739e+00
2.2125000000e+00, -1.5280316450e+00, 7.6616825344e-01, 1.5186924693e+00, 6.9732421594e+00
2.2200000000e+00, -1.5166193694e+00, 7.5136781781e-01, 1.6347138476e+00, 1.3980286343e+01
2.2275000000e+00, -1.5041013900e+00, 7.3634896469e-01, 1.6981363918e+00, 1.4744058135e+01
2.2350000000e+00, -1.4913677169e+00, 7.2101087656e-01, 1.7560498428e+00, 1.7492723240e+01
2.2425000000e+00, -1.4787462006e+00, 7.0424664250e-01, 1.8280138751e+00, 1.8978445907e+01
2.2500000000e+00, -1.4629398644e+00, 6.7277856469e-01, 2.0585449612e+00, 3.5621147160e+01
2.2575000000e+00, -1.4483950769e+00, 6.4990828656e-01, 2.0339885651e+00, 3.4362958942e+01
2.2650000000e+00, -1.4315351162e+00, 6.0524639719e-01, 2.2930240917e+00, 6.5640470166e+01
2.2725000000e+00, -1.4124599469e+00, 5.5261286687e-01, 2.3875978947e+00, 8.4263575928e+01
2.2800000000e+00, -1.3974585087e+00, 5.2232083000e-01, 2.3422447036e+00, 8.6025546760e+01
2.2875000000e+00, -1.3786457131e+00, 4.5610626250e-01, 2.3511600590e+00, 1.0906723445e+02
2.2950000000e+00, -1.3621142112e+00, 4.1654975625e-01, 2.1910629832e+00, 1.0099794235e+02
2.3025000000e+00, -1.3450351456e+00, 3.6047871375e-01, 2.0557471524e+00, 9.9440062902e+01
2.3100000000e+00, -1.3312283400e+00, 3.2722928594e-01, 1.9441652607e+00, 9.3101245659e+01
2.3175000000e+00, -1.3173336769e+00, 2.9090231625e-01, 1.8024754462e+00, 8.6187856701e+01
2.3250000000e+00, -1.3040473037e+00, 2.5752053500e-01, 1.6728059349e+00, 7.6626960662e+01
2.3325000000e+00, -1.2915401719e+00, 2.3342392000e-01, 1.5617091909e+00, 6.4544103441e+01
2.3400000000e+00, -1.2808505806e+00, 2.1801623719e-01, 1.4919006169e+00, 5.6758699164e+01
2.3475000000e+00, -1.2692913506e+00, 1.9040237344e-01, 1.4120836819e+00, 4.7984647261e+01
2.3550000000e+00, -1.2597224606e+00, 1.8347845750e-01, 1.3450194117e+00, 4.4387984526e+01
2.3625000000e+00, -1.2497304800e+00, 1.7118447406e-01, 1.3035494339e+00, 4.0370977711e+01
2.3700000000e+00, -1.2402236944e+00, 1.6158830469e-01, 1.2753451916e+00, 3.7050674260e+01
2.3775000000e+00, -1.2303322550e+00, 1.4625122563e-01, 1.2022778351e+00, 3.0664927724e+01
2.3850000000e+00, -1.2212019625e+00, 1.3823494094e-01, 1.1869640523e+00, 2.7626555037e+01
2.3925000000e+00, -1.2126564944e+00, 1.3490855437e-01, 1.1492783947e+00, 2.5431462101e+01

0
src/output/burn_in_time/ordered_1_0_611577739.txt → data/hp/burn_in_time/ordered_1_0_611577739.txt
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0
src/output/burn_in_time/ordered_2_4_2408603856.txt → data/hp/burn_in_time/ordered_2_4_2408603856.txt
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0
src/output/burn_in_time/unordered_1_0_1421110368.txt → data/hp/burn_in_time/unordered_1_0_1421110368.txt
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0
src/output/burn_in_time/unordered_2_4_1212892317.txt → data/hp/burn_in_time/unordered_2_4_1212892317.txt
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0
src/output/pd_estimate/estimate_1_0.txt → data/hp/pd_estimate/estimate_1_0.txt
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0
src/output/pd_estimate/estimate_2_4.txt → data/hp/pd_estimate/estimate_2_4.txt
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40
data/hp/phase_transition/size_100.txt Normal file
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@ -0,0 +1,40 @@
2.1000000000e+00, -1.6371038000e+00, 6.2581558000e-01, 3.6095027156e+00, 5.7489856111e+02
2.1075000000e+00, -1.6435150000e+00, 7.6123262000e-01, 2.7802993399e+00, 2.6283062960e+02
2.1150000000e+00, -1.6426767600e+00, 8.0966756000e-01, 2.0542410004e+00, 1.4408710107e+02
2.1225000000e+00, -1.6344794400e+00, 8.0711036000e-01, 1.9355643586e+00, 1.2446169727e+02
2.1300000000e+00, -1.6205608000e+00, 7.5877138000e-01, 2.3655508902e+00, 2.4568489619e+02
2.1375000000e+00, -1.6214138000e+00, 8.3175844000e-01, 1.2795666043e+00, 1.6550405618e+01
2.1450000000e+00, -1.5997560800e+00, 7.0787784000e-01, 2.8037685495e+00, 3.3526314188e+02
2.1525000000e+00, -1.6022970800e+00, 8.0693338000e-01, 1.6353496690e+00, 3.9968711163e+01
2.1600000000e+00, -1.5910621600e+00, 7.8979922000e-01, 2.0517331450e+00, 6.9106446608e+01
2.1675000000e+00, -1.5737732400e+00, 7.1176228000e-01, 2.6975867475e+00, 2.1452131824e+02
2.1750000000e+00, -1.5703215200e+00, 7.3718808000e-01, 2.9152273809e+00, 1.6346322951e+02
2.1825000000e+00, -1.5595029200e+00, 6.9398684000e-01, 3.0152367370e+00, 3.0678720650e+02
2.1900000000e+00, -1.5579498800e+00, 7.8180838000e-01, 1.7652682137e+00, 1.8918956154e+01
2.1975000000e+00, -1.5414566400e+00, 7.5852508000e-01, 1.6257635448e+00, 2.2866553788e+01
2.2050000000e+00, -1.5353448000e+00, 7.6352362000e-01, 1.7077478149e+00, 1.4140458821e+01
2.2125000000e+00, -1.5235996000e+00, 7.2657998000e-01, 1.9721825546e+00, 8.3525849651e+01
2.2200000000e+00, -1.5142174800e+00, 7.3260968000e-01, 2.0123672073e+00, 4.9415163434e+01
2.2275000000e+00, -1.4978134400e+00, 6.8860188000e-01, 2.2215399948e+00, 1.0344524048e+02
2.2350000000e+00, -1.4895944000e+00, 7.1125768000e-01, 1.9917621661e+00, 2.0736451298e+01
2.2425000000e+00, -1.4731659200e+00, 6.5048836000e-01, 2.1611034359e+00, 1.3983721961e+02
2.2500000000e+00, -1.4582628400e+00, 6.0240854000e-01, 2.5233645415e+00, 1.8999851461e+02
2.2575000000e+00, -1.4342181600e+00, 5.4278660000e-01, 2.9292893735e+00, 1.9665956180e+02
2.2650000000e+00, -1.4163180000e+00, 4.7247974000e-01, 2.5186964158e+00, 2.0925954189e+02
2.2725000000e+00, -1.4044106800e+00, 5.1675614000e-01, 2.1712364524e+00, 8.0965986501e+01
2.2800000000e+00, -1.3794140000e+00, 4.1114440000e-01, 1.8470556402e+00, 1.1785915286e+02
2.2875000000e+00, -1.3795225600e+00, 4.3814352000e-01, 1.8879332023e+00, 1.1085340238e+02
2.2950000000e+00, -1.3634137600e+00, 3.8549398000e-01, 2.3566285458e+00, 1.6461073243e+02
2.3025000000e+00, -1.3401594400e+00, 2.7885920000e-01, 1.6345388537e+00, 1.1631028666e+02
2.3100000000e+00, -1.3286336400e+00, 2.3732102000e-01, 1.8529493607e+00, 1.3040063449e+02
2.3175000000e+00, -1.3153785200e+00, 2.5855216000e-01, 1.7975766127e+00, 1.2587585557e+02
2.3250000000e+00, -1.2975899600e+00, 1.8450448000e-01, 1.6637427480e+00, 7.2576349574e+01
2.3325000000e+00, -1.2898033600e+00, 1.7513594000e-01, 1.4415488723e+00, 4.9205481279e+01
2.3400000000e+00, -1.2776915200e+00, 1.8441732000e-01, 1.7936402222e+00, 6.7629297898e+01
2.3475000000e+00, -1.2684242400e+00, 1.3368142000e-01, 1.4821594993e+00, 4.3481206044e+01
2.3550000000e+00, -1.2595402000e+00, 1.1940780000e-01, 1.2813379672e+00, 3.3634558383e+01
2.3625000000e+00, -1.2501786000e+00, 1.2643562000e-01, 1.2677058475e+00, 4.1110495015e+01
2.3700000000e+00, -1.2414689200e+00, 1.0299240000e-01, 1.1768081362e+00, 2.3291583993e+01
2.3775000000e+00, -1.2277807200e+00, 1.2098908000e-01, 1.1489779287e+00, 3.0403697366e+01
2.3850000000e+00, -1.2214528000e+00, 9.8867520000e-02, 1.1575416025e+00, 2.2113722101e+01
2.3925000000e+00, -1.2150054800e+00, 1.0544216000e-01, 1.0150515519e+00, 2.7953452667e+01

40
data/hp/phase_transition/size_20.txt Normal file
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@ -0,0 +1,40 @@
2.1000000000e+00, -1.6633820000e+00, 8.7217500000e-01, 9.4065869170e-01, 6.8398845238e-01
2.1075000000e+00, -1.6631970000e+00, 8.7274250000e-01, 9.0778714699e-01, 6.9725953855e-01
2.1150000000e+00, -1.6410690000e+00, 8.5440500000e-01, 1.0088548856e+00, 1.2448938014e+00
2.1225000000e+00, -1.6441870000e+00, 8.6097100000e-01, 1.0100779799e+00, 9.6000700287e-01
2.1300000000e+00, -1.6324500000e+00, 8.5283250000e-01, 1.0136751967e+00, 9.5938768897e-01
2.1375000000e+00, -1.6291370000e+00, 8.5151600000e-01, 1.0276249578e+00, 1.1057210281e+00
2.1450000000e+00, -1.6146600000e+00, 8.4156050000e-01, 1.1239273336e+00, 1.2672675692e+00
2.1525000000e+00, -1.6027580000e+00, 8.3147850000e-01, 1.2134302683e+00, 1.6029178235e+00
2.1600000000e+00, -1.6002170000e+00, 8.3018700000e-01, 1.2131518271e+00, 1.8304361169e+00
2.1675000000e+00, -1.5808490000e+00, 8.0474700000e-01, 1.4520378890e+00, 3.9671300560e+00
2.1750000000e+00, -1.5735720000e+00, 8.0057350000e-01, 1.3269976645e+00, 3.0731344548e+00
2.1825000000e+00, -1.5544580000e+00, 7.8539300000e-01, 1.4133700713e+00, 3.8531354962e+00
2.1900000000e+00, -1.5603920000e+00, 7.9077350000e-01, 1.4411347833e+00, 3.8114181183e+00
2.1975000000e+00, -1.5516290000e+00, 7.9317550000e-01, 1.3774590877e+00, 3.1017590352e+00
2.2050000000e+00, -1.5452250000e+00, 7.9452500000e-01, 1.2624772086e+00, 2.4223808390e+00
2.2125000000e+00, -1.5329150000e+00, 7.8416500000e-01, 1.3252081810e+00, 2.3383869424e+00
2.2200000000e+00, -1.5126680000e+00, 7.5319500000e-01, 1.4819285590e+00, 4.6464724279e+00
2.2275000000e+00, -1.5043160000e+00, 7.4698400000e-01, 1.3768908655e+00, 4.4946260371e+00
2.2350000000e+00, -1.4981210000e+00, 7.4906400000e-01, 1.5292748062e+00, 4.4037778799e+00
2.2425000000e+00, -1.4863420000e+00, 7.3355600000e-01, 1.5522315290e+00, 5.0380137996e+00
2.2500000000e+00, -1.4948450000e+00, 7.5502650000e-01, 1.2933606696e+00, 3.2092972085e+00
2.2575000000e+00, -1.4706010000e+00, 7.2001950000e-01, 1.6160652668e+00, 5.5085540854e+00
2.2650000000e+00, -1.4445820000e+00, 6.9717150000e-01, 1.5540312775e+00, 5.5032824879e+00
2.2725000000e+00, -1.4404120000e+00, 6.9900050000e-01, 1.5075758687e+00, 4.8577027062e+00
2.2800000000e+00, -1.4363140000e+00, 6.9108150000e-01, 1.6333374426e+00, 5.6838689224e+00
2.2875000000e+00, -1.4161260000e+00, 6.5841300000e-01, 1.5819645805e+00, 7.2228924907e+00
2.2950000000e+00, -1.3723670000e+00, 5.9858850000e-01, 1.6375321789e+00, 8.6130536240e+00
2.3025000000e+00, -1.3922380000e+00, 6.2280050000e-01, 1.7943346841e+00, 8.8856529337e+00
2.3100000000e+00, -1.3855960000e+00, 6.4045900000e-01, 1.5783036138e+00, 6.7738838648e+00
2.3175000000e+00, -1.3755240000e+00, 6.2698900000e-01, 1.4448650367e+00, 6.7283812520e+00
2.3250000000e+00, -1.3577870000e+00, 5.9204150000e-01, 1.6835672198e+00, 9.2397272736e+00
2.3325000000e+00, -1.3431380000e+00, 5.7499100000e-01, 1.5596061859e+00, 8.1372724406e+00
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2.3550000000e+00, -1.3136910000e+00, 5.5699450000e-01, 1.6070007992e+00, 8.2531956637e+00
2.3625000000e+00, -1.2810650000e+00, 5.0656800000e-01, 1.5315621059e+00, 8.5437225610e+00
2.3700000000e+00, -1.2705500000e+00, 4.8302350000e-01, 1.5720327939e+00, 9.4004313836e+00
2.3775000000e+00, -1.2660460000e+00, 4.7766650000e-01, 1.4751591568e+00, 9.4165269868e+00
2.3850000000e+00, -1.2688070000e+00, 5.0859250000e-01, 1.4145239860e+00, 7.7400321080e+00
2.3925000000e+00, -1.2634280000e+00, 4.7654750000e-01, 1.5547582235e+00, 1.0112374962e+01

40
data/hp/phase_transition/size_40.txt Normal file
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@ -0,0 +1,40 @@
2.1000000000e+00, -1.6618637500e+00, 8.6914825000e-01, 9.4657625794e-01, 7.8171606433e-01
2.1075000000e+00, -1.6554270000e+00, 8.6478112500e-01, 9.3051760261e-01, 8.5981926452e-01
2.1150000000e+00, -1.6495877500e+00, 8.6263700000e-01, 1.0075976683e+00, 1.0616654703e+00
2.1225000000e+00, -1.6417240000e+00, 8.5760462500e-01, 1.0228919257e+00, 1.0832180145e+00
2.1300000000e+00, -1.6280545000e+00, 8.4701462500e-01, 1.0739928250e+00, 1.2274745576e+00
2.1375000000e+00, -1.6233147500e+00, 8.4533325000e-01, 1.0287470643e+00, 1.3463538298e+00
2.1450000000e+00, -1.6151915000e+00, 8.3899750000e-01, 1.0697245341e+00, 1.4334978974e+00
2.1525000000e+00, -1.6091277500e+00, 8.3641712500e-01, 1.0756102013e+00, 1.4665726182e+00
2.1600000000e+00, -1.6021390000e+00, 8.3302962500e-01, 1.0681278906e+00, 1.5453437249e+00
2.1675000000e+00, -1.5910662500e+00, 8.2424787500e-01, 1.2668847840e+00, 2.2545947602e+00
2.1750000000e+00, -1.5799065000e+00, 8.1256562500e-01, 1.2308661144e+00, 2.7052847629e+00
2.1825000000e+00, -1.5708057500e+00, 8.0642325000e-01, 1.2051117282e+00, 2.2093461512e+00
2.1900000000e+00, -1.5613202500e+00, 8.0310512500e-01, 1.2202081074e+00, 2.0689586155e+00
2.1975000000e+00, -1.5566255000e+00, 8.0027450000e-01, 1.2860576438e+00, 2.3301207916e+00
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2.2500000000e+00, -1.4772240000e+00, 7.2461725000e-01, 1.5824727147e+00, 5.7691422684e+00
2.2575000000e+00, -1.4544367500e+00, 6.8046800000e-01, 2.0368005551e+00, 1.6904981644e+01
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2.2875000000e+00, -1.4004285000e+00, 5.8964362500e-01, 1.9828067667e+00, 2.3147417287e+01
2.2950000000e+00, -1.3677495000e+00, 5.1665737500e-01, 2.0157809009e+00, 3.0799995522e+01
2.3025000000e+00, -1.3649300000e+00, 5.3004400000e-01, 1.9130095640e+00, 2.6416010598e+01
2.3100000000e+00, -1.3391515000e+00, 4.6904875000e-01, 1.7899462297e+00, 2.9462253982e+01
2.3175000000e+00, -1.3299217500e+00, 4.5027100000e-01, 1.7626406097e+00, 3.0877758789e+01
2.3250000000e+00, -1.2996680000e+00, 3.6859825000e-01, 1.6039558130e+00, 2.7303325013e+01
2.3325000000e+00, -1.3065957500e+00, 3.9702187500e-01, 1.7889786051e+00, 3.2283859800e+01
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2.3475000000e+00, -1.2864965000e+00, 3.8651312500e-01, 1.6351579296e+00, 2.6456978690e+01
2.3550000000e+00, -1.2611245000e+00, 3.2140812500e-01, 1.4595269224e+00, 2.2599238957e+01
2.3625000000e+00, -1.2681550000e+00, 3.7901825000e-01, 1.5642139577e+00, 2.5785949785e+01
2.3700000000e+00, -1.2458772500e+00, 3.2177900000e-01, 1.4574814741e+00, 2.1969821626e+01
2.3775000000e+00, -1.2365882500e+00, 3.1228725000e-01, 1.3400701572e+00, 2.2506270065e+01
2.3850000000e+00, -1.2311935000e+00, 2.8255362500e-01, 1.3351273714e+00, 2.2128293144e+01
2.3925000000e+00, -1.2161842500e+00, 2.5981187500e-01, 1.2826870950e+00, 1.8611641849e+01

40
data/hp/phase_transition/size_60.txt Normal file
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@ -0,0 +1,40 @@
2.1000000000e+00, -1.6540002222e+00, 8.3136433333e-01, 1.5948383572e+00, 2.7441570607e+01
2.1075000000e+00, -1.6456700000e+00, 8.1050638889e-01, 1.8360357273e+00, 5.8141814297e+01
2.1150000000e+00, -1.6455295556e+00, 8.5688011111e-01, 1.1035588194e+00, 1.7200446495e+00
2.1225000000e+00, -1.6373152222e+00, 8.5282188889e-01, 1.0622621783e+00, 1.3272186864e+00
2.1300000000e+00, -1.6334084444e+00, 8.5176111111e-01, 1.0499880538e+00, 1.2364094418e+00
2.1375000000e+00, -1.6219742222e+00, 8.4388461111e-01, 1.1900590789e+00, 1.5892464409e+00
2.1450000000e+00, -1.6187030000e+00, 8.4498055556e-01, 1.0632710085e+00, 1.1914796037e+00
2.1525000000e+00, -1.6052558889e+00, 8.3113783333e-01, 1.2842649745e+00, 2.2802348620e+00
2.1600000000e+00, -1.5971676667e+00, 8.2197594444e-01, 1.3456056519e+00, 5.6152718030e+00
2.1675000000e+00, -1.5914575556e+00, 8.2436555556e-01, 1.1892870998e+00, 1.8853101812e+00
2.1750000000e+00, -1.5803726667e+00, 8.1594855556e-01, 1.2535770943e+00, 2.2379198903e+00
2.1825000000e+00, -1.5697217778e+00, 8.0372377778e-01, 1.2746857639e+00, 3.6961260899e+00
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2.2050000000e+00, -1.5408311111e+00, 7.8028094444e-01, 1.6083598418e+00, 6.1169180990e+00
2.2125000000e+00, -1.5262208889e+00, 7.6525616667e-01, 1.4749366794e+00, 4.9293569802e+00
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2.2650000000e+00, -1.4395602222e+00, 6.4825694444e-01, 2.0388618800e+00, 2.4495736960e+01
2.2725000000e+00, -1.4128195556e+00, 5.2779483333e-01, 2.5006491163e+00, 8.8246141136e+01
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2.2950000000e+00, -1.3747425556e+00, 4.8167055556e-01, 2.1949381842e+00, 7.4455205883e+01
2.3025000000e+00, -1.3581913333e+00, 4.6851994444e-01, 1.8882411157e+00, 5.8578195329e+01
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2.3175000000e+00, -1.3210327778e+00, 3.7945038889e-01, 2.0615709894e+00, 5.8056373767e+01
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2.3625000000e+00, -1.2472958889e+00, 2.1884622222e-01, 1.4084660747e+00, 3.2260524163e+01
2.3700000000e+00, -1.2390235556e+00, 2.3409666667e-01, 1.3265727126e+00, 3.0474220874e+01
2.3775000000e+00, -1.2330763333e+00, 2.2147583333e-01, 1.3166904310e+00, 2.9393336094e+01
2.3850000000e+00, -1.2278515556e+00, 2.2068633333e-01, 1.3087975724e+00, 3.5630587741e+01
2.3925000000e+00, -1.2153211111e+00, 1.5936911111e-01, 1.1906943158e+00, 1.5990571932e+01

40
data/hp/phase_transition/size_80.txt Normal file
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@ -0,0 +1,40 @@
2.1000000000e+00, -1.6622397500e+00, 8.6950137500e-01, 9.6774841896e-01, 8.7185793471e-01
2.1075000000e+00, -1.6485877500e+00, 8.3777900000e-01, 1.4234366658e+00, 2.5774540364e+01
2.1150000000e+00, -1.6357380625e+00, 7.7913865625e-01, 2.0164574637e+00, 1.4696931883e+02
2.1225000000e+00, -1.6378415625e+00, 8.5321990625e-01, 1.0661366107e+00, 1.6008261679e+00
2.1300000000e+00, -1.6244474375e+00, 7.9782031250e-01, 1.8411852075e+00, 9.8287771413e+01
2.1375000000e+00, -1.6226639375e+00, 8.4229471875e-01, 1.1971758551e+00, 3.5724814568e+00
2.1450000000e+00, -1.6098387500e+00, 8.2094300000e-01, 1.4568576763e+00, 1.1992312206e+01
2.1525000000e+00, -1.6003519375e+00, 8.0945571875e-01, 1.5786649068e+00, 1.9990437393e+01
2.1600000000e+00, -1.5955675000e+00, 8.2184993750e-01, 1.2226626457e+00, 3.2348256273e+00
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2.1825000000e+00, -1.5668628125e+00, 7.8546015625e-01, 1.4439178248e+00, 1.7483438271e+01
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2.1975000000e+00, -1.5539325000e+00, 7.9745615625e-01, 1.1612061674e+00, 2.2160880022e+00
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2.3025000000e+00, -1.3464116250e+00, 3.8140221875e-01, 1.8968177799e+00, 7.9994460215e+01
2.3100000000e+00, -1.3301356250e+00, 2.7506562500e-01, 2.0210043435e+00, 1.1369933017e+02
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2.3850000000e+00, -1.2230078750e+00, 1.4301137500e-01, 1.1279431990e+00, 3.2181757651e+01
2.3925000000e+00, -1.2149005625e+00, 1.5206834375e-01, 1.2603890760e+00, 3.1794743864e+01

20
data/hp/test_burn_in_time/burn_in.txt Normal file
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@ -0,0 +1,20 @@
2.1000000000e+00, -1.6617635000e+00, 8.6787264000e-01, 9.7103663200e-01, 1.0491729980e+00
2.1150000000e+00, -1.6475635100e+00, 8.6042474000e-01, 1.0056565468e+00, 1.0814171340e+00
2.1300000000e+00, -1.6323857000e+00, 8.5085071500e-01, 1.0535043784e+00, 1.3276792036e+00
2.1450000000e+00, -1.6156031600e+00, 8.4019954000e-01, 1.1063124063e+00, 1.5055458525e+00
2.1600000000e+00, -1.5989340800e+00, 8.2866907500e-01, 1.1619684169e+00, 1.8416158173e+00
2.1750000000e+00, -1.5811273500e+00, 8.1612870500e-01, 1.2190148221e+00, 2.1546852138e+00
2.1900000000e+00, -1.5615252500e+00, 8.0009336000e-01, 1.2980841694e+00, 2.7870317048e+00
2.2050000000e+00, -1.5401519400e+00, 7.8183459000e-01, 1.3845035774e+00, 3.4239365586e+00
2.2200000000e+00, -1.5203860000e+00, 7.6566219000e-01, 1.4280835812e+00, 3.8484026044e+00
2.2350000000e+00, -1.4976508100e+00, 7.4582481000e-01, 1.4829979115e+00, 4.3874835595e+00
2.2500000000e+00, -1.4768044700e+00, 7.2660411500e-01, 1.5463351378e+00, 5.0174060871e+00
2.2650000000e+00, -1.4526503400e+00, 7.0177143000e-01, 1.5879520058e+00, 5.8441503021e+00
2.2800000000e+00, -1.4250755100e+00, 6.7062376000e-01, 1.6437067943e+00, 6.8291521971e+00
2.2950000000e+00, -1.4019157200e+00, 6.4690484000e-01, 1.6546429164e+00, 7.3222261760e+00
2.3100000000e+00, -1.3790397900e+00, 6.2285967000e-01, 1.6637922450e+00, 7.7567580411e+00
2.3250000000e+00, -1.3512864000e+00, 5.8877510500e-01, 1.6490082368e+00, 8.4528378679e+00
2.3400000000e+00, -1.3280151900e+00, 5.6273393000e-01, 1.6334073073e+00, 8.6790014832e+00
2.3550000000e+00, -1.3055916300e+00, 5.3744482000e-01, 1.5801579815e+00, 8.8512376399e+00
2.3700000000e+00, -1.2817610500e+00, 5.0701832000e-01, 1.5422366361e+00, 9.0734743855e+00
2.3850000000e+00, -1.2570240200e+00, 4.7704696500e-01, 1.4616775773e+00, 8.9758142573e+00

20
data/hp/test_burn_in_time/no_burn_in.txt Normal file
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@ -0,0 +1,20 @@
2.1000000000e+00, -1.6619132900e+00, 8.6811622000e-01, 9.7288988856e-01, 1.0204055948e+00
2.1150000000e+00, -1.6467313100e+00, 8.5922790500e-01, 1.0183842544e+00, 1.1808654363e+00
2.1300000000e+00, -1.6313887100e+00, 8.4978376500e-01, 1.0682193026e+00, 1.3637763225e+00
2.1450000000e+00, -1.6146207800e+00, 8.3897405500e-01, 1.1176808813e+00, 1.5827014568e+00
2.1600000000e+00, -1.5982241700e+00, 8.2737717000e-01, 1.1857006282e+00, 1.9734006968e+00
2.1750000000e+00, -1.5811020700e+00, 8.1643799000e-01, 1.2181415134e+00, 2.1513857259e+00
2.1900000000e+00, -1.5610766000e+00, 7.9925653500e-01, 1.3132862728e+00, 2.8646846639e+00
2.2050000000e+00, -1.5417696200e+00, 7.8465401000e-01, 1.3639974821e+00, 3.1811652682e+00
2.2200000000e+00, -1.5203607000e+00, 7.6661311500e-01, 1.4266606197e+00, 3.7332090964e+00
2.2350000000e+00, -1.4978702200e+00, 7.4525522000e-01, 1.4973796966e+00, 4.5058703736e+00
2.2500000000e+00, -1.4743290500e+00, 7.2207903500e-01, 1.5639320989e+00, 5.3120951891e+00
2.2650000000e+00, -1.4514933700e+00, 6.9985274500e-01, 1.5971968127e+00, 5.9381039013e+00
2.2800000000e+00, -1.4290269000e+00, 6.7864666000e-01, 1.6275890487e+00, 6.3599046352e+00
2.2950000000e+00, -1.4033562500e+00, 6.4872791500e-01, 1.6552866854e+00, 7.3340586884e+00
2.3100000000e+00, -1.3790494300e+00, 6.2305609500e-01, 1.6653072556e+00, 7.7525182698e+00
2.3250000000e+00, -1.3535413400e+00, 5.9245705000e-01, 1.6731399541e+00, 8.4699155536e+00
2.3400000000e+00, -1.3275875500e+00, 5.6172020000e-01, 1.6281734228e+00, 8.7488559850e+00
2.3550000000e+00, -1.3023641600e+00, 5.3023305000e-01, 1.5892477908e+00, 9.0404514374e+00
2.3700000000e+00, -1.2793240300e+00, 5.0275315000e-01, 1.5314670060e+00, 9.0780012515e+00
2.3850000000e+00, -1.2564623100e+00, 4.7551642500e-01, 1.4737595119e+00, 9.0526098751e+00

0
data/hp/timing/lattice_sizes.txt Normal file
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3
data/hp/timing/sample_sizes.txt Normal file
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@ -0,0 +1,3 @@
1.0000000000e+03, 4.4863519060e+00
1.0000000000e+04, 5.1105693560e+00
1.0000000000e+05, 1.1682900080e+01

11
include/IsingModel.hpp
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@ -18,6 +18,7 @@
#include "utils.hpp" #include "utils.hpp"
#include <armadillo> #include <armadillo>
#include <cstdint>
#include <random> #include <random>
#include <unordered_map> #include <unordered_map>
@ -53,7 +54,8 @@ private:
/** @brief A hash map containing all possible energy changes. /** @brief A hash map containing all possible energy changes.
* */ * */
std::unordered_map<int, double> energy_diff; //std::unordered_map<int, double> energy_diff;
double energy_diff[17];
/** @brief The temperature of the model. /** @brief The temperature of the model.
* */ * */
@ -65,12 +67,15 @@ private:
/** @brief The current energy state. unit: \f$ J \f$. /** @brief The current energy state. unit: \f$ J \f$.
* */ * */
int E; int64_t E;
/** @brief The current magnetic strength. unit: Unitless. /** @brief The current magnetic strength. unit: Unitless.
* */ * */
int M; int64_t M;
std::mt19937 engine;
void initialize_engine();
/** @brief Initialize the lattice with a random distribution of 1s and /** @brief Initialize the lattice with a random distribution of 1s and
* -1s. * -1s.
* */ * */

8
include/data_type.hpp
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@ -49,7 +49,7 @@ public:
return res; return res;
} }
template <class T> data_t& operator/=(T num) template <class T> data_t &operator/=(T num)
{ {
this->E /= (double)num; this->E /= (double)num;
this->E2 /= (double)num; this->E2 /= (double)num;
@ -72,7 +72,7 @@ public:
return res; return res;
} }
template <class T> data_t& operator*=(T num) template <class T> data_t &operator*=(T num)
{ {
this->E *= (double)num; this->E *= (double)num;
this->E2 *= (double)num; this->E2 *= (double)num;
@ -95,7 +95,7 @@ public:
return res; return res;
} }
data_t& operator+=(const data_t &b) data_t &operator+=(const data_t &b)
{ {
this->E += b.E; this->E += b.E;
this->E2 += b.E2; this->E2 += b.E2;
@ -116,4 +116,6 @@ public:
} }
}; };
#pragma omp declare reduction(+ : data_t : omp_out += omp_in)
#endif #endif

44
include/monte_carlo.hpp
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@ -5,7 +5,7 @@
* *
* @version 1.0 * @version 1.0
* *
* @brief Functions for monte carlo simulations. * @brief Functions for Monte Carlo simulations.
* *
* @bug No known bugs * @bug No known bugs
* */ * */
@ -17,23 +17,13 @@
#include "utils.hpp" #include "utils.hpp"
#include <functional> #include <functional>
#include <string>
#include <omp.h> #include <omp.h>
#include <string>
//#define BURN_IN_TIME 12500 // #define BURN_IN_TIME 12500
#define BURN_IN_TIME 5000 #define BURN_IN_TIME 5000
#pragma omp declare reduction(+: data_t: omp_out += omp_in) namespace montecarlo {
/** @brief Test numerical data with analytical data.
*
* @param tol The tolerance between the analytical and numerical solution.
* @param max_cycles The max number of Monte Carlo cycles.
*
* return int
* */
int test_2x2_lattice(double tol, int max_cycles);
/** @brief Write the expected values for each Monte Carlo cycles to file. /** @brief Write the expected values for each Monte Carlo cycles to file.
* *
* @param T Temperature * @param T Temperature
@ -41,8 +31,8 @@ int test_2x2_lattice(double tol, int max_cycles);
* @param cycles The amount of Monte Carlo cycles to do * @param cycles The amount of Monte Carlo cycles to do
* @param filename The file to write to * @param filename The file to write to
* */ * */
void monte_carlo_progression(double T, int L, int cycles, void progression(double T, int L, int cycles, const std::string filename,
const std::string filename); int burn_in_time = BURN_IN_TIME);
/** @brief Write the expected values for each Monte Carlo cycles to file. /** @brief Write the expected values for each Monte Carlo cycles to file.
* *
@ -52,8 +42,8 @@ void monte_carlo_progression(double T, int L, int cycles,
* @param value The value to set the elements in the lattice * @param value The value to set the elements in the lattice
* @param filename The file to write to * @param filename The file to write to
* */ * */
void monte_carlo_progression(double T, int L, int cycles, int value, void progression(double T, int L, int cycles, int value,
const std::string filename); const std::string filename, int burn_in_time = BURN_IN_TIME);
/** @brief Estimate the probability distribution for the energy. /** @brief Estimate the probability distribution for the energy.
* *
@ -62,7 +52,8 @@ void monte_carlo_progression(double T, int L, int cycles, int value,
* @param cycles The amount of Monte Carlo cycles to do * @param cycles The amount of Monte Carlo cycles to do
* @param filename The file to write to * @param filename The file to write to
* */ * */
void pd_estimate(double T, int L, int cycles, const std::string filename); void pd_estimate(double T, int L, int cycles, const std::string filename,
int burn_in_time = BURN_IN_TIME);
/** @brief Execute the Metropolis algorithm for a certain amount of Monte /** @brief Execute the Metropolis algorithm for a certain amount of Monte
* Carlo cycles. * Carlo cycles.
@ -73,7 +64,8 @@ void pd_estimate(double T, int L, int cycles, const std::string filename);
* *
* @return data_t * @return data_t
* */ * */
data_t monte_carlo_serial(int L, double T, int cycles); data_t mcmc_serial(int L, double T, int cycles,
int burn_in_time = BURN_IN_TIME);
/** @brief Execute the Metropolis algorithm for a certain amount of Monte /** @brief Execute the Metropolis algorithm for a certain amount of Monte
* Carlo cycles in parallel. * Carlo cycles in parallel.
@ -84,7 +76,8 @@ data_t monte_carlo_serial(int L, double T, int cycles);
* *
* @return data_t * @return data_t
* */ * */
data_t monte_carlo_parallel(int L, double T, int cycles); data_t mcmc_parallel(int L, double T, int cycles,
int burn_in_time = BURN_IN_TIME);
/** @brief Perform the MCMC algorithm using a range of temperatures. /** @brief Perform the MCMC algorithm using a range of temperatures.
* *
@ -95,9 +88,10 @@ data_t monte_carlo_parallel(int L, double T, int cycles);
* @param monte_carlo Which Monte Carlo implementation to use * @param monte_carlo Which Monte Carlo implementation to use
* @param outfile The file to write the data to * @param outfile The file to write the data to
* */ * */
void phase_transition( void phase_transition(int L, double start_T, double end_T, int points_T,
int L, double start_T, double end_T, int points_T, int cycles,
std::function<data_t(int, double, int)> monte_carlo, std::function<data_t(int, double, int, int)> monte_carlo,
std::string outfile); std::string outfile, int burn_in_time = BURN_IN_TIME);
}; // namespace montecarlo
#endif #endif

15
include/utils.hpp
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@ -114,6 +114,21 @@ bool mkpath(std::string path, int mode = 0777);
* */ * */
std::string dirname(const std::string &path); std::string dirname(const std::string &path);
/** @brief Take 2 strings and concatenate them and make sure there is a
* directory separator (/) between them.
*
* @details This function doesn't care whether or not the values given as
* parameters are valid path strings. It is the responsibility of the user to make
* sure that the values given are valid path strings.
* The function only guarantees that the output string is a valid path string.
*
* @param left The left hand side of the result string
* @param right The right hand side of the result string
*
* @return string
* */
std::string concatpath(const std::string &left, const std::string &right);
} // namespace utils } // namespace utils
#endif #endif

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latex/Makefile Normal file
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@ -0,0 +1,14 @@
SRC=ising_model
PDFLATEX=pdflatex
BIBTEX=bibtex
.PHONY: clean
all:
$(PDFLATEX) $(SRC)
$(BIBTEX) $(SRC)
$(PDFLATEX) $(SRC)
$(PDFLATEX) $(SRC)
clean:
$(RM) *.aux *.log *.out *Notes.bib

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python_scripts/burn_in_time.py Normal file
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@ -0,0 +1,112 @@
import matplotlib.pyplot as plt
import seaborn as sns
sns.set_theme()
params = {
"font.family": "Serif",
"font.serif": "Roman",
"text.usetex": True,
"axes.titlesize": "large",
"axes.labelsize": "large",
"xtick.labelsize": "large",
"ytick.labelsize": "large",
"legend.fontsize": "medium",
}
plt.rcParams.update(params)
def plot_1_0():
files = [
"data/hp/burn_in_time/unordered_1_0_1421110368.txt",
"data/hp/burn_in_time/ordered_1_0_611577739.txt",
]
labels = [
"Unordered",
"Ordered",
]
colors = [
"darkred",
"seagreen",
]
fig1, ax1 = plt.subplots()
fig2, ax2 = plt.subplots()
for infile, label, color in zip(files, labels, colors):
with open(infile) as f:
lines = f.readlines()
t = []
energy = []
magnetization = []
for line in lines:
items = line.strip().split(",")
t.append(int(items[0]))
energy.append(float(items[1]))
magnetization.append(float(items[5]))
ax1.plot(t, energy, label=f"{label}", color=color)
ax2.plot(t, magnetization, label=f"{label}", color=color)
ax1.set_xlabel("t")
ax1.set_ylabel(r"$\langle \epsilon \rangle$")
ax1.legend(title="Initial state", loc="upper right")
fig1.savefig("./latex/images/burn_in_time_energy_1_0.pdf", bbox_inches="tight")
ax2.set_ylabel(r"$\langle |m| \rangle$")
ax2.set_xlabel("t")
ax2.legend(title="Initial state", loc="upper right")
fig2.savefig(
"./latex/images/burn_in_time_magnetization_1_0.pdf", bbox_inches="tight"
)
def plot_2_4():
files = [
"data/hp/burn_in_time/unordered_2_4_1212892317.txt",
"data/hp/burn_in_time/ordered_2_4_2408603856.txt",
]
labels = [
"Unordered",
"Ordered",
]
colors = [
"darkred",
"seagreen",
]
fig1, ax1 = plt.subplots()
fig2, ax2 = plt.subplots()
for infile, label, color in zip(files, labels, colors):
with open(infile) as f:
lines = f.readlines()
t = []
energy = []
magnetization = []
for line in lines:
items = line.strip().split(",")
t.append(int(items[0]))
energy.append(float(items[1]))
magnetization.append(float(items[5]))
ax1.plot(t, energy, label=f"{label}", color=color)
ax2.plot(t, magnetization, label=f"{label}", color=color)
ax1.set_xlabel("t")
ax1.set_ylabel(r"$\langle \epsilon \rangle$")
ax1.legend(title="Initial state", loc="upper right")
fig1.savefig("./latex/images/burn_in_time_energy_2_4.pdf", bbox_inches="tight")
ax2.set_ylabel(r"$\langle |m| \rangle$")
ax2.set_xlabel("t")
ax2.legend(title="Initial state", loc="upper right")
fig2.savefig(
"./latex/images/burn_in_time_magnetization_2_4.pdf", bbox_inches="tight"
)
if __name__ == "__main__":
plot_1_0()
plot_2_4()

29
src/scripts/pd_estimate.py → python_scripts/pd_estimate.py
View File

@ -1,4 +1,4 @@
import os from os import makedirs
from pathlib import Path from pathlib import Path
import matplotlib.pyplot as plt import matplotlib.pyplot as plt
@ -15,14 +15,14 @@ params = {
"axes.labelsize": "large", "axes.labelsize": "large",
"xtick.labelsize": "large", "xtick.labelsize": "large",
"ytick.labelsize": "large", "ytick.labelsize": "large",
"legend.fontsize": "medium" "legend.fontsize": "medium",
} }
plt.rcParams.update(params) plt.rcParams.update(params)
def plot(infile, outfile): def plot(infile, outfile):
if not (outdir := Path(outfile).parent).exists(): if not (outdir := Path(outfile).parent).exists():
os.makedirs(outdir) makedirs(outdir)
figure1, ax1 = plt.subplots() figure1, ax1 = plt.subplots()
eps = [] eps = []
@ -32,21 +32,32 @@ def plot(infile, outfile):
vals = line.strip().split(",") vals = line.strip().split(",")
eps.append(float(vals[0])) eps.append(float(vals[0]))
ax1.hist(eps, np.arange(min(eps), max(eps) + 0.02, 0.02), color="steelblue", density=True, ec="white", lw=0.2) ax1.hist(
eps,
np.arange(min(eps), max(eps) + 0.02, 0.02),
color="steelblue",
density=True,
ec="white",
lw=0.2,
)
ax1.set_xlabel(r"$\epsilon$") ax1.set_xlabel(r"$\epsilon$")
ax1.set_ylabel("Density") ax1.set_ylabel("Density")
mu, sigma = np.mean(eps), np.std(eps) mu, sigma = np.mean(eps), np.std(eps)
x = np.arange(min(eps), max(eps) + 0.02, 0.02) x = np.arange(min(eps), max(eps) + 0.02, 0.02)
stats = (f"$\\langle \\epsilon \\rangle$ = {np.mean(eps):.4f}\n" stats = (
f"Var$(\\epsilon)$ = {np.var(eps):.4f}") f"$\\langle \\epsilon \\rangle$ = {np.mean(eps):.4f}\n"
f"Var$(\\epsilon)$ = {np.var(eps):.4f}"
)
bbox = dict(boxstyle="round", pad=0.3, fc="white", ec="white", alpha=0.5) bbox = dict(boxstyle="round", pad=0.3, fc="white", ec="white", alpha=0.5)
ax1.text(0.95, 0.9, stats, bbox=bbox, transform=ax1.transAxes, ha="right", va="center") ax1.text(
0.95, 0.9, stats, bbox=bbox, transform=ax1.transAxes, ha="right", va="center"
)
ax1.plot(x, norm.pdf(x, mu, sigma), color="mediumseagreen") ax1.plot(x, norm.pdf(x, mu, sigma), color="mediumseagreen")
figure1.savefig(outfile, bbox_inches="tight") figure1.savefig(outfile, bbox_inches="tight")
if __name__ == "__main__": if __name__ == "__main__":
plot("output/pd_estimate/estimate_1_0.txt", "../latex/images/pd_estimate_1_0.pdf") plot("./data/hp/pd_estimate/estimate_1_0.txt", "./latex/images/pd_estimate_1_0.pdf")
plot("output/pd_estimate/estimate_2_4.txt", "../latex/images/pd_estimate_2_4.pdf") plot("./data/hp/pd_estimate/estimate_2_4.txt", "./latex/images/pd_estimate_2_4.pdf")

198
python_scripts/phase_transition.py Normal file
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@ -0,0 +1,198 @@
from os import makedirs
from pathlib import Path
import matplotlib.pyplot as plt
import numpy as np
from scipy.stats import linregress
def plot_phase_transition_alt(indir, outdir):
if not (path := Path(outdir)).exists():
makedirs(path)
files = [
"size_20.txt",
"size_40.txt",
"size_60.txt",
"size_80.txt",
"size_100.txt",
"size_500.txt",
]
labels = ["L = 20", "L = 40", "L = 60", "L = 80", "L = 100", "L = 500"]
figure1, ax1 = plt.subplots()
figure2, ax2 = plt.subplots()
figure3, ax3 = plt.subplots()
figure4, ax4 = plt.subplots()
figure5, ax5 = plt.subplots()
# For linear regression
L = []
Tc = []
size = 20
for file, label in zip(files, labels):
t = []
e = []
m = []
CV = []
X = []
# Append the lattice size
L.append(size)
size += 20
with open(Path(indir, file)) as f:
lines = f.readlines()
for line in lines:
l = line.strip().split(",")
t.append(float(l[0]))
e.append(float(l[1]))
m.append(float(l[2]))
CV.append(float(l[3]))
X.append(float(l[4]))
# Append the critical temp for the current lattice size
Tc.append(t[X.index(max(X))])
ax1.plot(t, e, label=label)
ax2.plot(t, m, label=label)
ax3.plot(t, CV, label=label)
ax4.plot(t, X, label=label)
inv_L = list(map(lambda x: 1 / x, L))
# Attempt linear regression
x = np.linspace(0, 1 / 20, 1001)
regression = linregress(inv_L, Tc)
f = lambda x: regression[0] * x + regression[1]
ax5.scatter(inv_L, Tc)
ax5.plot(x, f(x), label=f"m = {regression[0]}, i = {regression[1]}")
figure1.legend()
figure2.legend()
figure3.legend()
figure4.legend()
figure5.legend()
figure1.savefig(Path(outdir, "energy.pdf"))
figure2.savefig(Path(outdir, "magnetization.pdf"))
figure3.savefig(Path(outdir, "heat_capacity.pdf"))
figure4.savefig(Path(outdir, "susceptibility.pdf"))
figure5.savefig(Path(outdir, "linreg.pdf"))
plt.close(figure1)
plt.close(figure2)
plt.close(figure3)
plt.close(figure4)
plt.close(figure5)
def plot_phase_transition(indir, outdir):
if not (path := Path(outdir)).exists():
makedirs(path)
files = [
"size_20.txt",
"size_40.txt",
"size_60.txt",
"size_80.txt",
"size_100.txt",
]
labels = [
"L = 20",
"L = 40",
"L = 60",
"L = 80",
"L = 100",
]
figure1, ax1 = plt.subplots()
figure2, ax2 = plt.subplots()
figure3, ax3 = plt.subplots()
figure4, ax4 = plt.subplots()
figure5, ax5 = plt.subplots()
# For linear regression
L = []
Tc = []
size = 20
for file, label in zip(files, labels):
t = []
e = []
m = []
CV = []
X = []
# Append the lattice size
L.append(size)
size += 20
with open(Path(indir, file)) as f:
lines = f.readlines()
for line in lines:
l = line.strip().split(",")
t.append(float(l[0]))
e.append(float(l[1]))
m.append(float(l[2]))
CV.append(float(l[3]))
X.append(float(l[4]))
# Append the critical temp for the current lattice size
Tc.append(t[X.index(max(X))])
ax1.plot(t, e, label=label)
ax2.plot(t, m, label=label)
ax3.plot(t, CV, label=label)
ax4.plot(t, X, label=label)
inv_L = list(map(lambda x: 1 / x, L))
# Attempt linear regression
x = np.linspace(0, 1 / 20, 1001)
regression = linregress(inv_L, Tc)
f = lambda x: regression[0] * x + regression[1]
ax5.scatter(inv_L, Tc)
ax5.plot(x, f(x), label=f"m = {regression[0]}, i = {regression[1]}")
figure1.legend()
figure2.legend()
figure3.legend()
figure4.legend()
figure5.legend()
figure1.savefig(Path(outdir, "energy.pdf"))
figure2.savefig(Path(outdir, "magnetization.pdf"))
figure3.savefig(Path(outdir, "heat_capacity.pdf"))
figure4.savefig(Path(outdir, "susceptibility.pdf"))
figure5.savefig(Path(outdir, "linreg.pdf"))
plt.close(figure1)
plt.close(figure2)
plt.close(figure3)
plt.close(figure4)
plt.close(figure5)
if __name__ == "__main__":
plot_phase_transition_alt(
"data/fox/phase_transition/wide/10M/",
"latex/images/phase_transition/fox/wide/10M/",
)
plot_phase_transition(
"data/fox/phase_transition/wide/1M/",
"latex/images/phase_transition/fox/wide/1M/",
)
plot_phase_transition(
"data/fox/phase_transition/narrow/10M/",
"latex/images/phase_transition/fox/narrow/10M/",
)
plot_phase_transition(
"data/hp/phase_transition/", "latex/images/phase_transition/hp/"
)
plot_phase_transition(
"data/hp/phase_transition/", "latex/images/phase_transition/hp/"
)
plot_phase_transition(
"data/hp/phase_transition/",
"latex/images/phase_transition/hp/",
)

67
python_scripts/test_burn_in.py Normal file
View File

@ -0,0 +1,67 @@
from os import makedirs
from pathlib import Path
import matplotlib.pyplot as plt
def plot(indir, outdir):
if not (path := Path(outdir)).exists():
makedirs(path)
files = [
"no_burn_in.txt",
"burn_in.txt",
]
labels = [
"Without burn-in time",
"With burn-in time",
]
figure1, ax1 = plt.subplots()
figure2, ax2 = plt.subplots()
figure3, ax3 = plt.subplots()
figure4, ax4 = plt.subplots()
for file, label in zip(files, labels):
t = []
e = []
m = []
CV = []
X = []
with open(Path(indir, file)) as f:
lines = f.readlines()
for line in lines:
l = line.strip().split(",")
t.append(float(l[0]))
e.append(float(l[1]))
m.append(float(l[2]))
CV.append(float(l[3]))
X.append(float(l[4]))
ax1.plot(t, e, label=label)
ax2.plot(t, m, label=label)
ax3.plot(t, CV, label=label)
ax4.plot(t, X, label=label)
figure1.legend()
figure2.legend()
figure3.legend()
figure4.legend()
figure1.savefig(Path(outdir, "energy.pdf"))
figure2.savefig(Path(outdir, "magnetization.pdf"))
figure3.savefig(Path(outdir, "heat_capacity.pdf"))
figure4.savefig(Path(outdir, "susceptibility.pdf"))
plt.close(figure1)
plt.close(figure2)
plt.close(figure3)
plt.close(figure4)
if __name__ == "__main__":
plot(
"./data/hp/test_burn_in_time/",
"./latex/images/test_burn_in",
)

49
python_scripts/timing.py Normal file
View File

@ -0,0 +1,49 @@
from os import makedirs
from pathlib import Path
import matplotlib.pyplot as plt
def plot_timing(indir, outdir):
if not (path := Path(outdir)).exists():
makedirs(path)
files = [
"lattice_sizes.txt",
"sample_sizes.txt",
]
labels = [
"Lattice sizes",
"Sample sizes",
]
xlabels = ["Lattice size", "Sampling size"]
outfiles = ["lattice_size.pdf", "sample_sizes.pdf"]
for file, label, xlabel, outfile in zip(files, labels, xlabels, outfiles):
figure1, ax1 = plt.subplots()
x = []
t = []
with open(Path(indir, file)) as f:
lines = f.readlines()
for line in lines:
l = line.strip().split(",")
x.append(float(l[0]))
t.append(float(l[1]))
ax1.plot(x, t, label=label)
ax1.set_xlabel(xlabel)
ax1.set_ylabel("time (seconds)")
figure1.legend()
figure1.savefig(Path(outdir, outfile))
plt.close(figure1)
if __name__ == "__main__":
plot_timing(
"data/hp/timing/",
"./latex/images/timing",
)

3
requirements.txt
View File

@ -0,0 +1,3 @@
numpy
matplotlib
seaborn

76
slurm_scripts/execute.script Executable file
View File

@ -0,0 +1,76 @@
#!/bin/bash
usage() {
>&2 cat << EOF
Usage: $0
[ -h | --help ]
[ --start-temp input ]
[ --end-temp input ]
[ --points input ]
[ --samples input ]
[ --array input ]
[ --time input ]
[ --account input (required) ]
EOF
exit 1
}
# Defaults
start_temp=2.1
end_temp=2.4
points_temp=40
samples=1000000
array_arg=20
time_arg="0-00:30:00"
account=""
VALID_ARGS=$(getopt -o h --long help,start-temp:,end-temp:,points:,samples:,array:,time:,account: -- "$@")
if [[ $? -ne 0 ]]; then
usage
fi
eval set -- ${VALID_ARGS}
while :
do
case "$1" in
-h | --help)
usage
shift
;;
--start-temp)
start_temp=$2
shift 2
;;
--end-temp)
end_temp=$2
shift 2
;;
--points)
points=$2
shift 2
;;
--samples)
samples=$2
shift 2
;;
--array)
array_arg=$(echo "${2// /}")
shift 2
;;
--time)
time_arg=$2
shift 2
;;
--account)
account=$2
shift 2
;;
--) shift; break ;;
esac
done
if [ -z "$account" ]; then
usage
fi
sbatch --array=$array_arg --time=$time_arg --account=$account ./slurm_scripts/pt.script $start_temp $end_temp $points_temp $samples

21
slurm_scripts/pt.script Executable file
View File

@ -0,0 +1,21 @@
#!/bin/bash
#SBATCH --job-name=pt
#SBATCH --ntasks=10
#SBATCH --mem-per-cpu=1G
#SBATCH --cpus-per-task=10
set -o errexit # Exit the script on any error
set -o nounset # Treat any unset variables as an error
module --quiet purge # Reset the modules to the system default
module load Armadillo/11.4.3-foss-2022b
module load OpenMPI/4.1.5-GCC-12.3.0
# Args
start_temp=$1
end_temp=$2
points_temp=$3
samples=$4
srun ./bin/phase_transition_mpi $start_temp $end_temp $points_temp ${SLURM_ARRAY_TASK_ID} $samples 0 ./output/$samples/size_${SLURM_ARRAY_TASK_ID}.txt

17
slurm_scripts/pt_narrow.script Normal file
View File

@ -0,0 +1,17 @@
#!/bin/bash
#SBATCH --account=ec54
#SBATCH --job-name=pt_narrow
#SBATCH --time=0-02:00:00
#SBATCH --ntasks=8
#SBATCH --mem-per-cpu=1G
#SBATCH --cpus-per-task=10
set -o errexit # Exit the script on any error
set -o nounset # Treat any unset variables as an error
module --quiet purge # Reset the modules to the system default
module load Armadillo/11.4.3-foss-2022b
module load OpenMPI/4.1.5-GCC-12.3.0
srun ./phase_transition_mpi 2.25 2.35 40 10000000

22
src/IsingModel.cpp
View File

@ -10,18 +10,18 @@
* @bug No known bugs * @bug No known bugs
* */ * */
#include "IsingModel.hpp" #include "IsingModel.hpp"
#include <cmath>
#include <random> #include <random>
IsingModel::IsingModel() IsingModel::IsingModel()
{ {
this->initialize_engine();
} }
IsingModel::IsingModel(int L, double T) IsingModel::IsingModel(int L, double T)
{ {
this->L = L; this->L = L;
this->T = T; this->T = T;
this->initialize_engine();
this->initialize_lattice(); this->initialize_lattice();
this->initialize_neighbors(); this->initialize_neighbors();
this->initialize_energy_diff(); this->initialize_energy_diff();
@ -33,6 +33,7 @@ IsingModel::IsingModel(int L, double T, int val)
{ {
this->L = L; this->L = L;
this->T = T; this->T = T;
this->initialize_engine();
this->lattice.set_size(this->L, this->L); this->lattice.set_size(this->L, this->L);
this->lattice.fill(val); this->lattice.fill(val);
this->initialize_neighbors(); this->initialize_neighbors();
@ -41,16 +42,20 @@ IsingModel::IsingModel(int L, double T, int val)
this->initialize_energy(); this->initialize_energy();
} }
void IsingModel::initialize_engine()
{
std::random_device rd{};
this->engine = std::mt19937{rd()};
}
void IsingModel::initialize_lattice() void IsingModel::initialize_lattice()
{ {
this->lattice.set_size(this->L, this->L); this->lattice.set_size(this->L, this->L);
std::random_device rd{};
std::mt19937 engine{rd()};
std::uniform_int_distribution<> coin_flip(0, 1); std::uniform_int_distribution<> coin_flip(0, 1);
for (size_t i = 0; i < this->lattice.n_elem; i++) for (size_t i = 0; i < this->lattice.n_elem; i++)
this->lattice(i) = 2 * coin_flip(engine) - 1; this->lattice(i) = 2 * coin_flip(this->engine) - 1;
} }
void IsingModel::initialize_neighbors() void IsingModel::initialize_neighbors()
@ -67,7 +72,7 @@ void IsingModel::initialize_neighbors()
void IsingModel::initialize_energy_diff() void IsingModel::initialize_energy_diff()
{ {
for (int i = -8; i <= 8; i += 4) { for (int i = -8; i <= 8; i += 4) {
this->energy_diff.insert({i, std::exp(-(double)i / this->T)}); this->energy_diff[i+8] = std::exp(-(double)i / this->T);
} }
} }
@ -95,9 +100,6 @@ void IsingModel::initialize_energy()
data_t IsingModel::Metropolis() data_t IsingModel::Metropolis()
{ {
std::random_device rd{};
std::mt19937_64 engine{rd()};
int ri, rj; int ri, rj;
int dE; int dE;
@ -120,7 +122,7 @@ data_t IsingModel::Metropolis()
+ this->lattice(this->neighbors(ri, DOWN), rj)); + this->lattice(this->neighbors(ri, DOWN), rj));
// Choose whether or not to accept the new configuration // Choose whether or not to accept the new configuration
if (random_number(engine) <= this->energy_diff[dE]) { if (random_number(engine) <= this->energy_diff[dE+8]) {
// Update if the configuration is accepted // Update if the configuration is accepted
this->lattice(ri, rj) *= -1; this->lattice(ri, rj) *= -1;
this->M += 2 * this->lattice(ri, rj); this->M += 2 * this->lattice(ri, rj);

23
src/Makefile
View File

@ -3,9 +3,11 @@ CC=mpic++
LIBSRCS=utils.cpp testlib.cpp data_type.cpp LIBSRCS=utils.cpp testlib.cpp data_type.cpp
LIBOBJS=$(LIBSRCS:.cpp=.o) LIBOBJS=$(LIBSRCS:.cpp=.o)
LIBPROFOBJS=$(addprefix prof/, $(LIBOBJS))
CLASSSRCS=IsingModel.cpp monte_carlo.cpp CLASSSRCS=IsingModel.cpp monte_carlo.cpp
CLASSOBJS=$(CLASSSRCS:.cpp=.o) CLASSOBJS=$(CLASSSRCS:.cpp=.o)
CLASSPROFOBJS=$(addprefix prof/, $(CLASSOBJS))
INCLUDE=../include INCLUDE=../include
@ -29,16 +31,14 @@ else
PROFFLAG= PROFFLAG=
endif endif
.PHONY: clean .PHONY: clean instrument
all: main phase_transition_mpi test_suite all: main phase_transition_mpi test_suite time
#all: main #all: main
# Instrumentation using scorep for parallel analysis # Instrumentation using scorep for parallel analysis
instrument: instrument: prof/phase_transition_mpi.o $(LIBPROFOBJS) $(CLASSPROFOBJS)
scorep $(CC) -c utils.cpp -o utils.o $(CFLAGS) $(DBGFLAG) $(PROFFLAG) -I$(INCLUDE) $(OPENMP) scorep $(CC) $(LIBPROFOBJS) $(CLASSPROFOBJS) $< -o phase_transition_mpi_prof $(CFLAGS) $(DBGFLAG) $(PROFFLAG) -I$(INCLUDE) $(OPENMP)
scorep $(CC) -c main.cpp -o main.o $(CFLAGS) $(DBGFLAG) $(PROFFLAG) -I$(INCLUDE) $(OPENMP)
scorep $(CC) $(LIBOBJS) $(CLASSOBJS) main.o -o main $(CFLAGS) $(DBGFLAG) $(PROFFLAG) -I$(INCLUDE) $(OPENMP)
# Rules for executables # Rules for executables
main: main.o $(LIBOBJS) $(CLASSOBJS) main: main.o $(LIBOBJS) $(CLASSOBJS)
@ -50,10 +50,17 @@ phase_transition_mpi: phase_transition_mpi.o $(LIBOBJS) $(CLASSOBJS)
test_suite: test_suite.o $(LIBOBJS) $(CLASSOBJS) test_suite: test_suite.o $(LIBOBJS) $(CLASSOBJS)
$(CC) $^ -o $@ $(CFLAGS) $(DBGFLAG) $(PROFFLAG) -I$(INCLUDE) $(OPENMP) $(CC) $^ -o $@ $(CFLAGS) $(DBGFLAG) $(PROFFLAG) -I$(INCLUDE) $(OPENMP)
time: time.o $(LIBOBJS) $(CLASSOBJS)
$(CC) $^ -o $@ $(CFLAGS) $(DBGFLAG) $(PROFFLAG) -I$(INCLUDE) $(OPENMP)
# Rule for object files # Rule for object files
%.o: %.cpp %.o: %.cpp
$(CC) -c $^ -o $@ $(CFLAGS) $(DBGFLAG) $(PROFFLAG) -I$(INCLUDE) $(OPENMP) $(CC) -c $^ -o $@ $(CFLAGS) $(DBGFLAG) $(PROFFLAG) -I$(INCLUDE) $(OPENMP)
# Rule for instrumented object files
prof/%.o: %.cpp
scorep $(CC) -c $^ -o $@ $(CFLAGS) $(DBGFLAG) $(PROFFLAG) -I$(INCLUDE) $(OPENMP)
clean: clean:
rm *.o find . -maxdepth 2 -name "*.o" -type f -delete
rm test_suite main rm test_suite main phase_transition_mpi phase_transition_mpi_prof time

40
src/fox_output/phase_transition/wide/10M/size_100.txt
View File

@ -1,40 +0,0 @@
2.1000000000e+00, -1.6620153162e+00, 8.6825921642e-01, 9.7151756678e-01, 2.4628207208e+00
2.1075000000e+00, -1.6547871402e+00, 8.6452546472e-01, 9.8586055596e-01, 1.0371424746e+00
2.1150000000e+00, -1.6470173946e+00, 8.5757567470e-01, 1.0527091921e+00, 9.2735057990e+00
2.1225000000e+00, -1.6395359027e+00, 8.5477023382e-01, 1.0458114211e+00, 2.8269978139e+00
2.1300000000e+00, -1.6317611242e+00, 8.5029719252e-01, 1.0648418813e+00, 1.5413540397e+00
2.1375000000e+00, -1.6235958872e+00, 8.4427437198e-01, 1.1067537915e+00, 4.1393110834e+00
2.1450000000e+00, -1.6154378059e+00, 8.3939453442e-01, 1.1249379789e+00, 2.4765189498e+00
2.1525000000e+00, -1.6068788967e+00, 8.3370064048e-01, 1.1529855330e+00, 1.9209173052e+00
2.1600000000e+00, -1.5981243397e+00, 8.2742933888e-01, 1.1832514097e+00, 2.1549193408e+00
2.1675000000e+00, -1.5891135955e+00, 8.2073828886e-01, 1.2185666891e+00, 2.4512526099e+00
2.1750000000e+00, -1.5799324034e+00, 8.1374150226e-01, 1.2592266595e+00, 2.7899402229e+00
2.1825000000e+00, -1.5701165092e+00, 8.0492814328e-01, 1.3164080508e+00, 5.6569919297e+00
2.1900000000e+00, -1.5603238432e+00, 7.9743303536e-01, 1.3446888670e+00, 3.8003080360e+00
2.1975000000e+00, -1.5498866007e+00, 7.8783085350e-01, 1.4001363797e+00, 4.9784343082e+00
2.2050000000e+00, -1.5392398990e+00, 7.7702621460e-01, 1.4673061547e+00, 7.9625339130e+00
2.2125000000e+00, -1.5281262918e+00, 7.6584789506e-01, 1.5232488352e+00, 8.4644768325e+00
2.2200000000e+00, -1.5165880163e+00, 7.5355556686e-01, 1.5748237550e+00, 8.7046281768e+00
2.2275000000e+00, -1.5043489448e+00, 7.3824513410e-01, 1.6730531386e+00, 1.3329874777e+01
2.2350000000e+00, -1.4919062936e+00, 7.2266862052e-01, 1.7605738773e+00, 1.5774847194e+01
2.2425000000e+00, -1.4779197153e+00, 6.9984947662e-01, 1.8842107989e+00, 2.5222532538e+01
2.2500000000e+00, -1.4630838121e+00, 6.7200043076e-01, 2.0414383332e+00, 4.0176409902e+01
2.2575000000e+00, -1.4466727990e+00, 6.3374453586e-01, 2.2394490921e+00, 6.5386553201e+01
2.2650000000e+00, -1.4302620022e+00, 5.9545725882e-01, 2.3367695957e+00, 8.4146921469e+01
2.2725000000e+00, -1.4129940982e+00, 5.4893978964e-01, 2.4264999588e+00, 1.0572940572e+02
2.2800000000e+00, -1.3938477486e+00, 4.8383973028e-01, 2.4843359422e+00, 1.4080896856e+02
2.2875000000e+00, -1.3755483071e+00, 4.2131611852e-01, 2.3668657423e+00, 1.5146279797e+02
2.2950000000e+00, -1.3587650193e+00, 3.6670820910e-01, 2.2238630418e+00, 1.4922116201e+02
2.3025000000e+00, -1.3424890747e+00, 3.1314528658e-01, 2.0388866034e+00, 1.3710935397e+02
2.3100000000e+00, -1.3278909358e+00, 2.6988360328e-01, 1.8428420582e+00, 1.1799184878e+02
2.3175000000e+00, -1.3146870617e+00, 2.3717208746e-01, 1.7132885225e+00, 1.0132633890e+02
2.3250000000e+00, -1.3022142125e+00, 2.0584315460e-01, 1.5883836563e+00, 8.4059694596e+01
2.3325000000e+00, -1.2906006156e+00, 1.8736295758e-01, 1.5132478295e+00, 7.2347213446e+01
2.3400000000e+00, -1.2797137160e+00, 1.7238447366e-01, 1.4469027063e+00, 6.2533751699e+01
2.3475000000e+00, -1.2689956506e+00, 1.5705407798e-01, 1.3862572655e+00, 5.3347428555e+01
2.3550000000e+00, -1.2590990874e+00, 1.4659499200e-01, 1.3372004012e+00, 4.7210919387e+01
2.3625000000e+00, -1.2489784134e+00, 1.3360769622e-01, 1.2889592617e+00, 3.9916238102e+01
2.3700000000e+00, -1.2394002512e+00, 1.2499840328e-01, 1.2447122211e+00, 3.5011112489e+01
2.3775000000e+00, -1.2301743490e+00, 1.1724050656e-01, 1.2126831520e+00, 3.1619751217e+01
2.3850000000e+00, -1.2212667213e+00, 1.1158216368e-01, 1.1817854995e+00, 2.8398360387e+01
2.3925000000e+00, -1.2125286096e+00, 1.0569096110e-01, 1.1511183772e+00, 2.5508811996e+01

40
src/fox_output/phase_transition/wide/10M/size_20.txt
View File

@ -1,40 +0,0 @@
2.1000000000e+00, -1.6619125180e+00, 8.6839291850e-01, 9.6555027618e-01, 9.7850361363e-01
2.1075000000e+00, -1.6549793570e+00, 8.6471839850e-01, 9.8240289303e-01, 1.0129724485e+00
2.1150000000e+00, -1.6468503490e+00, 8.5960125050e-01, 1.0138192976e+00, 1.1321474962e+00
2.1225000000e+00, -1.6395326080e+00, 8.5511700950e-01, 1.0365371568e+00, 1.2364229543e+00
2.1300000000e+00, -1.6317730720e+00, 8.5044005850e-01, 1.0587209589e+00, 1.3211835025e+00
2.1375000000e+00, -1.6234235200e+00, 8.4479707150e-01, 1.0873989398e+00, 1.4801573993e+00
2.1450000000e+00, -1.6159038850e+00, 8.4040335200e-01, 1.1054118047e+00, 1.5387845869e+00
2.1525000000e+00, -1.6068533790e+00, 8.3360464950e-01, 1.1465611095e+00, 1.7801980041e+00
2.1600000000e+00, -1.5982328140e+00, 8.2758169400e-01, 1.1760701126e+00, 1.9407916428e+00
2.1675000000e+00, -1.5893305490e+00, 8.2146220800e-01, 1.2027020856e+00, 2.0857388287e+00
2.1750000000e+00, -1.5800474730e+00, 8.1475079550e-01, 1.2322647833e+00, 2.2571138933e+00
2.1825000000e+00, -1.5712991630e+00, 8.0836790150e-01, 1.2576266534e+00, 2.4328877997e+00
2.1900000000e+00, -1.5610119330e+00, 7.9991190450e-01, 1.2986390210e+00, 2.7318627483e+00
2.1975000000e+00, -1.5512947190e+00, 7.9200833000e-01, 1.3324471512e+00, 2.9999142363e+00
2.2050000000e+00, -1.5412811640e+00, 7.8410793550e-01, 1.3603249592e+00, 3.2210726936e+00
2.2125000000e+00, -1.5312122480e+00, 7.7582262450e-01, 1.3914119268e+00, 3.4663325824e+00
2.2200000000e+00, -1.5202567750e+00, 7.6603557500e-01, 1.4290506271e+00, 3.7902650810e+00
2.2275000000e+00, -1.5101140570e+00, 7.5720912050e-01, 1.4571094065e+00, 4.0922499338e+00
2.2350000000e+00, -1.4983236510e+00, 7.4583789950e-01, 1.4940343199e+00, 4.4949431726e+00
2.2425000000e+00, -1.4872285410e+00, 7.3583214850e-01, 1.5209645562e+00, 4.7834776118e+00
2.2500000000e+00, -1.4755721230e+00, 7.2430785100e-01, 1.5494637112e+00, 5.1408071955e+00
2.2575000000e+00, -1.4646817370e+00, 7.1429082850e-01, 1.5665735040e+00, 5.4168636675e+00
2.2650000000e+00, -1.4525830090e+00, 7.0183889150e-01, 1.5930316440e+00, 5.8246607718e+00
2.2725000000e+00, -1.4401881130e+00, 6.8829875200e-01, 1.6210749189e+00, 6.2825629079e+00
2.2800000000e+00, -1.4275341280e+00, 6.7503738350e-01, 1.6377412939e+00, 6.6272843184e+00
2.2875000000e+00, -1.4153101170e+00, 6.6202681500e-01, 1.6474807652e+00, 6.9374221274e+00
2.2950000000e+00, -1.4025377850e+00, 6.4792210650e-01, 1.6613566237e+00, 7.2965666268e+00
2.3025000000e+00, -1.3901966580e+00, 6.3424726400e-01, 1.6643516967e+00, 7.5997720797e+00
2.3100000000e+00, -1.3777599550e+00, 6.2029042850e-01, 1.6655967518e+00, 7.8821870275e+00
2.3175000000e+00, -1.3658680790e+00, 6.0696951250e-01, 1.6640990107e+00, 8.1240659854e+00
2.3250000000e+00, -1.3536401310e+00, 5.9312723750e-01, 1.6552818870e+00, 8.3112943885e+00
2.3325000000e+00, -1.3397610860e+00, 5.7579100100e-01, 1.6468905936e+00, 8.6230949277e+00
2.3400000000e+00, -1.3279296500e+00, 5.6190994250e-01, 1.6315188349e+00, 8.7733425063e+00
2.3475000000e+00, -1.3157471180e+00, 5.4756469250e-01, 1.6092786419e+00, 8.8885122002e+00
2.3550000000e+00, -1.3041730460e+00, 5.3377897100e-01, 1.5875278057e+00, 8.9753683844e+00
2.3625000000e+00, -1.2926410050e+00, 5.2069073550e-01, 1.5603029077e+00, 8.9820705976e+00
2.3700000000e+00, -1.2802206010e+00, 5.0476759600e-01, 1.5297678965e+00, 9.0498806419e+00
2.3775000000e+00, -1.2699025730e+00, 4.9361168400e-01, 1.5059390703e+00, 9.0215829651e+00
2.3850000000e+00, -1.2586695900e+00, 4.8012205450e-01, 1.4771256938e+00, 8.9961790709e+00
2.3925000000e+00, -1.2478550800e+00, 4.6736909300e-01, 1.4420816831e+00, 8.9036470785e+00

40
src/fox_output/phase_transition/wide/10M/size_40.txt
View File

@ -1,40 +0,0 @@
2.1000000000e+00, -1.6620241095e+00, 8.6870001213e-01, 9.6315452544e-01, 9.6226340795e-01
2.1075000000e+00, -1.6546474007e+00, 8.6435499912e-01, 9.8726491216e-01, 1.0486145186e+00
2.1150000000e+00, -1.6471901245e+00, 8.5999019563e-01, 1.0078816808e+00, 1.1309322111e+00
2.1225000000e+00, -1.6396131488e+00, 8.5534986700e-01, 1.0341186299e+00, 1.2401952685e+00
2.1300000000e+00, -1.6316233365e+00, 8.5028545800e-01, 1.0616281311e+00, 1.3647625002e+00
2.1375000000e+00, -1.6237929958e+00, 8.4533017437e-01, 1.0891759248e+00, 1.5241163310e+00
2.1450000000e+00, -1.6151386912e+00, 8.3903778937e-01, 1.1269490234e+00, 1.8646375755e+00
2.1525000000e+00, -1.6066617845e+00, 8.3330123700e-01, 1.1561499936e+00, 2.0164316252e+00
2.1600000000e+00, -1.5981390215e+00, 8.2754810150e-01, 1.1833323029e+00, 2.1355953037e+00
2.1675000000e+00, -1.5890042950e+00, 8.2053784450e-01, 1.2212535753e+00, 2.5182897415e+00
2.1750000000e+00, -1.5797295040e+00, 8.1340160300e-01, 1.2605568049e+00, 2.8268774622e+00
2.1825000000e+00, -1.5702464250e+00, 8.0565077875e-01, 1.3025929004e+00, 3.3805882500e+00
2.1900000000e+00, -1.5604939612e+00, 7.9764172887e-01, 1.3454520516e+00, 3.7938587164e+00
2.1975000000e+00, -1.5499313592e+00, 7.8792353400e-01, 1.3967813619e+00, 4.4756538550e+00
2.2050000000e+00, -1.5391499830e+00, 7.7744365112e-01, 1.4501456064e+00, 5.3798585716e+00
2.2125000000e+00, -1.5282690012e+00, 7.6690028637e-01, 1.4995460425e+00, 6.1870897661e+00
2.2200000000e+00, -1.5167300260e+00, 7.5423927662e-01, 1.5624874280e+00, 7.4548031568e+00
2.2275000000e+00, -1.5050149717e+00, 7.4142832087e-01, 1.6204433824e+00, 8.6979351346e+00
2.2350000000e+00, -1.4926378615e+00, 7.2640746162e-01, 1.6863439690e+00, 1.0422107961e+01
2.2425000000e+00, -1.4794847920e+00, 7.0900366487e-01, 1.7621420318e+00, 1.2536468715e+01
2.2500000000e+00, -1.4656867717e+00, 6.8967846612e-01, 1.8323331829e+00, 1.4893634634e+01
2.2575000000e+00, -1.4520555287e+00, 6.7119788675e-01, 1.8799168754e+00, 1.6547383769e+01
2.2650000000e+00, -1.4382698593e+00, 6.5065610625e-01, 1.9337012711e+00, 1.8914026717e+01
2.2725000000e+00, -1.4230305128e+00, 6.2540010162e-01, 1.9788823072e+00, 2.1651635903e+01
2.2800000000e+00, -1.4088086143e+00, 6.0163930987e-01, 2.0112447617e+00, 2.4199800899e+01
2.2875000000e+00, -1.3935304780e+00, 5.7577379412e-01, 2.0196168621e+00, 2.6064061662e+01
2.2950000000e+00, -1.3789640860e+00, 5.5077936987e-01, 2.0095359588e+00, 2.7512401284e+01
2.3025000000e+00, -1.3624053932e+00, 5.1785586512e-01, 1.9954287230e+00, 2.9529693197e+01
2.3100000000e+00, -1.3484675187e+00, 4.9407736975e-01, 1.9489026021e+00, 3.0040369409e+01
2.3175000000e+00, -1.3343921728e+00, 4.6778955013e-01, 1.9013520152e+00, 3.0603632810e+01
2.3250000000e+00, -1.3197310500e+00, 4.3895860962e-01, 1.8406235015e+00, 3.0679867277e+01
2.3325000000e+00, -1.3061023918e+00, 4.1355581687e-01, 1.7586976734e+00, 3.0281483045e+01
2.3400000000e+00, -1.2935458417e+00, 3.9148407650e-01, 1.6936163462e+00, 2.9309538353e+01
2.3475000000e+00, -1.2810342150e+00, 3.6986715562e-01, 1.6246099121e+00, 2.8219898740e+01
2.3550000000e+00, -1.2689798297e+00, 3.4784880125e-01, 1.5474347136e+00, 2.6988405432e+01
2.3625000000e+00, -1.2578110195e+00, 3.2940204463e-01, 1.4903891730e+00, 2.5855851530e+01
2.3700000000e+00, -1.2467082168e+00, 3.1144425187e-01, 1.4161229966e+00, 2.4265691669e+01
2.3775000000e+00, -1.2364888132e+00, 2.9590345237e-01, 1.3601555797e+00, 2.2803242240e+01
2.3850000000e+00, -1.2262656265e+00, 2.8063338050e-01, 1.3049288010e+00, 2.1507061243e+01
2.3925000000e+00, -1.2169632957e+00, 2.6823971300e-01, 1.2562566007e+00, 2.0148598349e+01

40
src/fox_output/phase_transition/wide/10M/size_60.txt
View File

@ -1,40 +0,0 @@
2.1000000000e+00, -1.6620843629e+00, 8.6872799750e-01, 9.6264519505e-01, 9.5544569044e-01
2.1075000000e+00, -1.6547580499e+00, 8.6444806406e-01, 9.8544566002e-01, 1.0407756357e+00
2.1150000000e+00, -1.6473603679e+00, 8.6015627483e-01, 1.0101358749e+00, 1.1153310968e+00
2.1225000000e+00, -1.6396375339e+00, 8.5537835589e-01, 1.0356576220e+00, 1.2426188107e+00
2.1300000000e+00, -1.6317903722e+00, 8.5046221944e-01, 1.0630158285e+00, 1.3653424965e+00
2.1375000000e+00, -1.6236858849e+00, 8.4515188072e-01, 1.0898866806e+00, 1.5272736843e+00
2.1450000000e+00, -1.6154040312e+00, 8.3963544883e-01, 1.1163642113e+00, 1.6903490533e+00
2.1525000000e+00, -1.6068627261e+00, 8.3359092411e-01, 1.1525313123e+00, 1.9475784050e+00
2.1600000000e+00, -1.5981171297e+00, 8.2743907661e-01, 1.1856925219e+00, 2.1377189985e+00
2.1675000000e+00, -1.5891169522e+00, 8.2076692411e-01, 1.2202497445e+00, 2.4484997455e+00
2.1750000000e+00, -1.5798256027e+00, 8.1368407967e-01, 1.2558053037e+00, 2.7636023484e+00
2.1825000000e+00, -1.5703361263e+00, 8.0594987944e-01, 1.2983724079e+00, 3.3113282521e+00
2.1900000000e+00, -1.5602543071e+00, 7.9732757833e-01, 1.3446361432e+00, 3.7573016387e+00
2.1975000000e+00, -1.5500343039e+00, 7.8784426106e-01, 1.3953317819e+00, 4.7951647288e+00
2.2050000000e+00, -1.5392068992e+00, 7.7743896250e-01, 1.4609661357e+00, 5.7612740711e+00
2.2125000000e+00, -1.5282624559e+00, 7.6657300889e-01, 1.5089569958e+00, 6.7976296683e+00
2.2200000000e+00, -1.5167714741e+00, 7.5381184083e-01, 1.5765989542e+00, 8.7762464988e+00
2.2275000000e+00, -1.5046375629e+00, 7.3963954711e-01, 1.6538283053e+00, 1.0539882793e+01
2.2350000000e+00, -1.4916838380e+00, 7.2188930672e-01, 1.7479448742e+00, 1.4442688054e+01
2.2425000000e+00, -1.4783546668e+00, 7.0308972833e-01, 1.8379170953e+00, 1.8151938776e+01
2.2500000000e+00, -1.4641366169e+00, 6.8038036333e-01, 1.9265609125e+00, 2.3389888284e+01
2.2575000000e+00, -1.4486397249e+00, 6.5150604822e-01, 2.0422100075e+00, 3.1244165172e+01
2.2650000000e+00, -1.4336962390e+00, 6.2459981533e-01, 2.1075014455e+00, 3.6826447778e+01
2.2725000000e+00, -1.4180692170e+00, 5.9268105344e-01, 2.1893689007e+00, 4.4273470662e+01
2.2800000000e+00, -1.4010261546e+00, 5.5387566789e-01, 2.2234627988e+00, 5.2006827283e+01
2.2875000000e+00, -1.3842963302e+00, 5.1342188850e-01, 2.2093928783e+00, 5.8110524167e+01
2.2950000000e+00, -1.3674547366e+00, 4.7283667406e-01, 2.1664555299e+00, 6.1848500693e+01
2.3025000000e+00, -1.3514448674e+00, 4.3301724944e-01, 2.0844304859e+00, 6.2928742602e+01
2.3100000000e+00, -1.3361684618e+00, 3.9658430828e-01, 1.9897540506e+00, 6.2376495709e+01
2.3175000000e+00, -1.3221636203e+00, 3.6519162828e-01, 1.8755791202e+00, 5.9468771468e+01
2.3250000000e+00, -1.3086887623e+00, 3.3479607911e-01, 1.7751338406e+00, 5.5802216522e+01
2.3325000000e+00, -1.2953904763e+00, 3.0499253439e-01, 1.6542669252e+00, 5.1362305497e+01
2.3400000000e+00, -1.2832488826e+00, 2.8106546444e-01, 1.5692606461e+00, 4.7060215979e+01
2.3475000000e+00, -1.2720185431e+00, 2.6190353806e-01, 1.4883311872e+00, 4.2947040348e+01
2.3550000000e+00, -1.2610647641e+00, 2.4192990383e-01, 1.4150400094e+00, 3.8804813518e+01
2.3625000000e+00, -1.2506554469e+00, 2.2450839061e-01, 1.3515257395e+00, 3.5046451463e+01
2.3700000000e+00, -1.2409339288e+00, 2.1300559106e-01, 1.2983897866e+00, 3.1817431753e+01
2.3775000000e+00, -1.2311690934e+00, 1.9878405622e-01, 1.2474793538e+00, 2.8725909191e+01
2.3850000000e+00, -1.2220091820e+00, 1.8858339594e-01, 1.2096871264e+00, 2.6268765485e+01
2.3925000000e+00, -1.2128942612e+00, 1.7742550372e-01, 1.1741821474e+00, 2.3917176967e+01

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