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. !text !filter !merge !diff

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# Score-p # Score-p
scorep* scorep*
data/animation.txt

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@ -511,7 +511,7 @@ EXTRACT_PRIVATE = YES
# methods of a class will be included in the documentation. # methods of a class will be included in the documentation.
# The default value is: NO. # The default value is: NO.
EXTRACT_PRIV_VIRTUAL = YES EXTRACT_PRIV_VIRTUAL = NO
# If the EXTRACT_PACKAGE tag is set to YES, all members with package or internal # If the EXTRACT_PACKAGE tag is set to YES, all members with package or internal
# scope will be included in the documentation. # scope will be included in the documentation.

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@ -3,18 +3,22 @@ CC=g++
# Flags # Flags
CFLAGS=-Wall -larmadillo -std=c++11 -O3 -fopenmp CFLAGS=-Wall -larmadillo -std=c++11 -O3 -fopenmp
PROFFLAGS=-fno-inline-functions
DBGFLAGS=-DDBG -g DBGFLAGS=-DDBG -g
MKDIR=mkdir -p MKDIR=mkdir -p
RMDIR=rm -rf RMDIR=rm -rf
INSTRUMENT=scorep
# Directories for binaries # Directories for binaries
BINDIR=./bin BINDIR=./bin
PROFDIR=./prof
DEBUGDIR=./debug DEBUGDIR=./debug
# Directories for object files # Directories for object files
BUILDDIR=./build BUILDDIR=./build
BINOBJDIR=$(BUILDDIR)/objs BINOBJDIR=$(BUILDDIR)/objs
PROFOBJDIR=$(BUILDDIR)/prof
DEBUGOBJDIR=$(BUILDDIR)/debug DEBUGOBJDIR=$(BUILDDIR)/debug
# Directory for latex source # Directory for latex source
@ -25,14 +29,23 @@ SRC=./src
LIB=./lib LIB=./lib
INCLUDE=./include INCLUDE=./include
# Source files and object file locations
#SRCFILES=utils.cpp testlib.cpp
#SRCS=$(addprefix $(SRC)/, $(SRCS))
#BINOBJS=$(addprefix $(BINOBJDIR)/, $(SRCFILES:.cpp=.o))
#PROFOBJS=$(addprefix $(PROFOBJDIR)/, $(SRCFILES:.cpp=.o))
#DEBUGOBJS=$(addprefix $(DEBUGOBJDIR)/, $(SRCFILES:.cpp=.o))
# Lib files # Lib files
LIBSRCS=$(notdir $(shell find $(LIB) -type f)) LIBSRCS=$(notdir $(shell find $(LIB) -type f))
LIBBINOBJS=$(addprefix $(BINOBJDIR)/, $(LIBSRCS:.cpp=.o)) LIBBINOBJS=$(addprefix $(BINOBJDIR)/, $(LIBSRCS:.cpp=.o))
LIBPROFOBJS=$(addprefix $(PROFOBJDIR)/, $(LIBSRCS:.cpp=.o))
LIBDEBUGOBJS=$(addprefix $(DEBUGOBJDIR)/, $(LIBSRCS:.cpp=.o)) LIBDEBUGOBJS=$(addprefix $(DEBUGOBJDIR)/, $(LIBSRCS:.cpp=.o))
# Location for Binaries # Location for Binaries
EXEC=$(basename $(notdir $(shell find $(SRC) -type f))) EXEC=$(basename $(notdir $(shell find $(SRC) -type f)))
BINS=$(addprefix $(BINDIR)/, $(EXEC)) BINS=$(addprefix $(BINDIR)/, $(EXEC))
PROFBINS=$(addprefix $(PROFDIR)/, $(EXEC))
DEBUGBINS=$(addprefix $(DEBUGDIR)/, $(EXEC)) DEBUGBINS=$(addprefix $(DEBUGDIR)/, $(EXEC))
# List phony targets # List phony targets
@ -41,6 +54,8 @@ DEBUGBINS=$(addprefix $(DEBUGDIR)/, $(EXEC))
# "Commands" # "Commands"
all: $(BINS) all: $(BINS)
profile: $(PROFBINS)
debug: $(DEBUGBINS) debug: $(DEBUGBINS)
# build latex file # build latex file
@ -52,6 +67,11 @@ $(BINDIR)/%: $(BINOBJDIR)/%.o $(LIBBINOBJS)
$(MKDIR) $(BINDIR) $(MKDIR) $(BINDIR)
$(CC) $^ -o $@ $(CFLAGS) -I$(INCLUDE) $(CC) $^ -o $@ $(CFLAGS) -I$(INCLUDE)
# Rule for profiling binaries
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# Rule for debug binaries # Rule for debug binaries
$(DEBUGDIR)/%: $(DEBUGOBJDIR)/%.o $(LIBDEBUGOBJS) $(DEBUGDIR)/%: $(DEBUGOBJDIR)/%.o $(LIBDEBUGOBJS)
$(MKDIR) $(DEBUGDIR) $(MKDIR) $(DEBUGDIR)
@ -63,6 +83,11 @@ $(BINOBJDIR)/%.o: $(SRC)/%.cpp
echo $(LIBBINOBJS) echo $(LIBBINOBJS)
$(CC) -c $^ -o $@ $(CFLAGS) -I$(INCLUDE) $(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 # Rule for debug object files
$(DEBUGOBJDIR)/%.o: $(SRC)/%.cpp $(DEBUGOBJDIR)/%.o: $(SRC)/%.cpp
$(MKDIR) $(DEBUGOBJDIR) $(MKDIR) $(DEBUGOBJDIR)
@ -73,6 +98,11 @@ $(BINOBJDIR)/%.o: $(LIB)/%.cpp
$(MKDIR) $(BINOBJDIR) $(MKDIR) $(BINOBJDIR)
$(CC) -c $^ -o $@ $(CFLAGS) -I$(INCLUDE) $(CC) -c $^ -o $@ $(CFLAGS) -I$(INCLUDE)
# Rule for instrumented object files
$(PROFOBJDIR)/%.o: $(LIB)/%.cpp
$(MKDIR) $(PROFOBJDIR)
$(INSTRUMENT) $(CC) -c $^ -o $@ $(CFLAGS) $(PROFFLAGS) -I$(INCLUDE)
# Rule for debug object files # Rule for debug object files
$(DEBUGOBJDIR)/%.o: $(LIB)/%.cpp $(DEBUGOBJDIR)/%.o: $(LIB)/%.cpp
$(MKDIR) $(DEBUGOBJDIR) $(MKDIR) $(DEBUGOBJDIR)
@ -88,4 +118,4 @@ objclean:
$(RMDIR) $(BUILDDIR) $(RMDIR) $(BUILDDIR)
binclean: binclean:
$(RMDIR) $(BINDIR) $(DEBUGDIR) $(RMDIR) $(BINDIR) $(PROFDIR) $(DEBUGDIR)

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# Simulating the Schrödinger wave equation using the Crank-Nicolson method in 2+1 dimensions # Simulating the Schrödinger wave equation using the Crank-Nicolson method in 2+1 dimensions
[Gitea repo](https://gitea.balaton.dev/FYS3150/Project-5)
[GitHub repo](https://github.uio.no/FYS3150-G2-2023/Project-5)
[Documentation](https://pages.github.uio.no/FYS3150-G2-2023/Project-5/)
![Double slit animation](./images/animation.gif)
## Requirements
### Operating systems
- Linux
- Has been tested on [Fedora 38](https://fedoraproject.org/)
- Will most likely work on other Linux distributions
- macOS
- Will most likely not work due to the use of getopt, which is GNU specific.
- Windows
- Will most likely not work
### Libraries
- Python
- [matplotlib](https://matplotlib.org/)
- [numpy](https://numpy.org/)
- [seaborn](https://seaborn.pydata.org/)
- C++
- [Armadillo](https://arma.sourceforge.net/)
## Compiling
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
make
```
The binaries will then be inside the **bin** 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
### C++ binaries
To run any of the programs, just use the following command:
```shell
./<bin|debug>/<program-name> <args>
```
For the **wave_simulation** program, you can use a file where each line contains
a configuration for the WaveSimulation class and what to output to a file.
This different values should be separated by semicolons.
Here is the order of what variables should be in one line:
h; dt; T; x_c; y_c; sigma_x; sigma_y; p_x; p_y; <thickness; pos_x; ap_sep; ap; slits>; <write_each step || the steps to write to file>
where <> is optional.
An example of a file can be found under the args directory.
### Python scripts
#### Install libraries
Before running the scripts, make sure that all libraries are installed.
Using pip, you can install all requirements like this:
```shell
pip install -r requirements.txt
```
This recursively install all the packages that are listed in **requirements.txt**.
#### Running scripts
For the Python scripts, run them from the root of the project:
```shell
python python_scripts/<script-name>
```
If you have any problems running the scripts, you might have to run this instead:
```shell
python3 python_scripts/<script-name>
```
## Credits
The Doxygen theme used here is
[doxygen-awesome-css](https://github.com/jothepro/doxygen-awesome-css).

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<p>The definition of the <a class="el" href="classWaveSimulation.html" title="Simulate the evolution of a wave packet in 2 + 1 domensions.">WaveSimulation</a> class.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &quot;<a class="el" href="constants_8hpp_source.html">constants.hpp</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="literals_8hpp_source.html">literals.hpp</a>&quot;</code><br />
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<code>#include &lt;cstdint&gt;</code><br />
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<p><a href="WaveSimulation_8hpp_source.html">Go to the source code of this file.</a></p>
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Classes</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html">WaveSimulation</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Simulate the evolution of a wave packet in 2 + 1 domensions. <a href="classWaveSimulation.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>The definition of the <a class="el" href="classWaveSimulation.html" title="Simulate the evolution of a wave packet in 2 + 1 domensions.">WaveSimulation</a> class. </p>
<dl class="section author"><dt>Author</dt><dd>Cory Alexander Balaton (coryab) </dd>
<dd>
Janita Ovidie Sandtrøen Willumsen (janitaws)</dd></dl>
<dl class="section version"><dt>Version</dt><dd>0.1</dd></dl>
<dl class="bug"><dt><b><a class="el" href="bug.html#_bug000005">Bug:</a></b></dt><dd>No known bugs </dd></dl>
<p class="definition">Definition in file <a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a>.</p>
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<a href="WaveSimulation_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="preprocessor">#ifndef __WAVE_SIMULATION__</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="preprocessor">#define __WAVE_SIMULATION__</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span> </div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include &quot;<a class="code" href="constants_8hpp.html">constants.hpp</a>&quot;</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include &quot;<a class="code" href="literals_8hpp.html">literals.hpp</a>&quot;</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> </div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include &lt;armadillo&gt;</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include &lt;cstdint&gt;</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"><a class="line" href="classWaveSimulation.html"> 22</a></span><span class="keyword">class </span><a class="code hl_class" href="classWaveSimulation.html">WaveSimulation</a> {</div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="keyword">private</span>:</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"><a class="line" href="classWaveSimulation.html#a2e7becba595a864b5754be9e858ac3e9"> 24</a></span> int32_t <a class="code hl_variable" href="classWaveSimulation.html#a2e7becba595a864b5754be9e858ac3e9">M</a>; </div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"><a class="line" href="classWaveSimulation.html#a36dda9ea37cc41e36c27f9729831786d"> 25</a></span> int32_t <a class="code hl_variable" href="classWaveSimulation.html#a36dda9ea37cc41e36c27f9729831786d">N</a>; </div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"><a class="line" href="classWaveSimulation.html#ac40056e5c4b7ae3a022195cb447439b6"> 26</a></span> arma::cx_mat <a class="code hl_variable" href="classWaveSimulation.html#ac40056e5c4b7ae3a022195cb447439b6">V</a>; </div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"><a class="line" href="classWaveSimulation.html#a02052a447cf7fb49001e231d3a856814"> 27</a></span> arma::cx_mat <a class="code hl_variable" href="classWaveSimulation.html#a02052a447cf7fb49001e231d3a856814">U</a>; </div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"><a class="line" href="classWaveSimulation.html#a3e7fa7128020c39d51fa933aa7706fd1"> 28</a></span> arma::sp_cx_mat <a class="code hl_variable" href="classWaveSimulation.html#a3e7fa7128020c39d51fa933aa7706fd1">B</a>; </div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"><a class="line" href="classWaveSimulation.html#a09e997b44ad67b6e3497d77704cd47e7"> 29</a></span> arma::sp_cx_mat <a class="code hl_variable" href="classWaveSimulation.html#a09e997b44ad67b6e3497d77704cd47e7">A</a>; </div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"><a class="line" href="classWaveSimulation.html#a66f2d3a7d278888687822bc20df97f38"> 30</a></span> <span class="keywordtype">double</span> <a class="code hl_variable" href="classWaveSimulation.html#a66f2d3a7d278888687822bc20df97f38">h</a>; </div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"><a class="line" href="classWaveSimulation.html#a07dbefef86c9ed894d526eea4b039be6"> 31</a></span> <span class="keywordtype">double</span> <a class="code hl_variable" href="classWaveSimulation.html#a07dbefef86c9ed894d526eea4b039be6">dt</a>; </div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"><a class="line" href="classWaveSimulation.html#aebd53edf928035c7a2438cdd3b1d7d7e"> 32</a></span> <span class="keywordtype">double</span> <a class="code hl_variable" href="classWaveSimulation.html#aebd53edf928035c7a2438cdd3b1d7d7e">T</a>; </div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> </div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"><a class="line" href="classWaveSimulation.html#aed4433e3c80ceaad874471a994b6bf0e"> 44</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classWaveSimulation.html#aed4433e3c80ceaad874471a994b6bf0e">initialize_U</a>(<span class="keywordtype">double</span> x_c, <span class="keywordtype">double</span> y_c, <span class="keywordtype">double</span> sigma_x, <span class="keywordtype">double</span> sigma_y,</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keywordtype">double</span> p_x, <span class="keywordtype">double</span> p_y);</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> </div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"><a class="line" href="classWaveSimulation.html#a657df266bf09298fcb1b901b25fb2498"> 55</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classWaveSimulation.html#a657df266bf09298fcb1b901b25fb2498">initialize_V</a>(<span class="keywordtype">double</span> thickness, <span class="keywordtype">double</span> pos_x,</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordtype">double</span> aperture_separation, <span class="keywordtype">double</span> aperture,</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> uint32_t slits);</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> </div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"><a class="line" href="classWaveSimulation.html#aad9e34b8466636b0a346dd30aef35eca"> 61</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classWaveSimulation.html#aad9e34b8466636b0a346dd30aef35eca">initialize_V</a>();</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> </div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"><a class="line" href="classWaveSimulation.html#a6c1e7fb0526a7f7947beaedeb383d4c0"> 65</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classWaveSimulation.html#a6c1e7fb0526a7f7947beaedeb383d4c0">initialize_A</a>();</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> </div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"><a class="line" href="classWaveSimulation.html#a25100ad1ffbb0ba16e4928f0c2d58ae7"> 69</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classWaveSimulation.html#a25100ad1ffbb0ba16e4928f0c2d58ae7">initialize_B</a>();</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> </div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"><a class="line" href="classWaveSimulation.html#acb893267a27945645510d736cba2939d"> 75</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classWaveSimulation.html#acb893267a27945645510d736cba2939d">write_U</a>(std::ofstream &amp;ofile);</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span><span class="keyword">public</span>:</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"><a class="line" href="classWaveSimulation.html#acb9ed0a8b77ef23ad8682fdef00b5076"> 94</a></span> <a class="code hl_function" href="classWaveSimulation.html#acb9ed0a8b77ef23ad8682fdef00b5076">WaveSimulation</a>(<span class="keywordtype">double</span> <a class="code hl_variable" href="classWaveSimulation.html#a66f2d3a7d278888687822bc20df97f38">h</a>, <span class="keywordtype">double</span> <a class="code hl_variable" href="classWaveSimulation.html#a07dbefef86c9ed894d526eea4b039be6">dt</a>, <span class="keywordtype">double</span> <a class="code hl_variable" href="classWaveSimulation.html#aebd53edf928035c7a2438cdd3b1d7d7e">T</a>, <span class="keywordtype">double</span> x_c, <span class="keywordtype">double</span> y_c,</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="keywordtype">double</span> sigma_x, <span class="keywordtype">double</span> sigma_y, <span class="keywordtype">double</span> p_x, <span class="keywordtype">double</span> p_y,</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="keywordtype">double</span> thickness, <span class="keywordtype">double</span> pos_x, <span class="keywordtype">double</span> ap_sep, <span class="keywordtype">double</span> ap,</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> uint32_t slits);</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> </div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"><a class="line" href="classWaveSimulation.html#a94cf5bb27a79ceefdcc1456704ba17e4"> 111</a></span> <a class="code hl_function" href="classWaveSimulation.html#a94cf5bb27a79ceefdcc1456704ba17e4">WaveSimulation</a>(<span class="keywordtype">double</span> <a class="code hl_variable" href="classWaveSimulation.html#a66f2d3a7d278888687822bc20df97f38">h</a>, <span class="keywordtype">double</span> <a class="code hl_variable" href="classWaveSimulation.html#a07dbefef86c9ed894d526eea4b039be6">dt</a>, <span class="keywordtype">double</span> <a class="code hl_variable" href="classWaveSimulation.html#aebd53edf928035c7a2438cdd3b1d7d7e">T</a>, <span class="keywordtype">double</span> x_c, <span class="keywordtype">double</span> y_c,</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keywordtype">double</span> sigma_x, <span class="keywordtype">double</span> sigma_y, <span class="keywordtype">double</span> p_x, <span class="keywordtype">double</span> p_y);</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> </div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"><a class="line" href="classWaveSimulation.html#af9d988b741c59e6de3a32d506538019f"> 116</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classWaveSimulation.html#af9d988b741c59e6de3a32d506538019f">step</a>();</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> </div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"><a class="line" href="classWaveSimulation.html#a82742cffc7c344d705c6a532ed605b0c"> 125</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classWaveSimulation.html#a82742cffc7c344d705c6a532ed605b0c">simulate</a>(std::string outfile, <span class="keywordtype">bool</span> write_each_step = <span class="keyword">false</span>);</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> </div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"><a class="line" href="classWaveSimulation.html#ab142a9563a302f6cd4b015e3a388c1a4"> 133</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classWaveSimulation.html#ab142a9563a302f6cd4b015e3a388c1a4">simulate</a>(std::string outfile, std::vector&lt;double&gt; &amp;steps);</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> </div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"><a class="line" href="classWaveSimulation.html#af0752a10a110644d99ef5c6cab7421c9"> 139</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classWaveSimulation.html#af0752a10a110644d99ef5c6cab7421c9">probability_deviation</a>(std::string outfile,</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="keywordtype">bool</span> write_each_step = <span class="keyword">false</span>);</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span>};</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> </div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span><span class="preprocessor">#endif</span></div>
<div class="ttc" id="aclassWaveSimulation_html"><div class="ttname"><a href="classWaveSimulation.html">WaveSimulation</a></div><div class="ttdoc">Simulate the evolution of a wave packet in 2 + 1 domensions.</div><div class="ttdef"><b>Definition:</b> <a href="WaveSimulation_8hpp_source.html#l00022">WaveSimulation.hpp:22</a></div></div>
<div class="ttc" id="aclassWaveSimulation_html_a02052a447cf7fb49001e231d3a856814"><div class="ttname"><a href="classWaveSimulation.html#a02052a447cf7fb49001e231d3a856814">WaveSimulation::U</a></div><div class="ttdeci">arma::cx_mat U</div><div class="ttdoc">The particle wave matrix.</div><div class="ttdef"><b>Definition:</b> <a href="WaveSimulation_8hpp_source.html#l00027">WaveSimulation.hpp:27</a></div></div>
<div class="ttc" id="aclassWaveSimulation_html_a07dbefef86c9ed894d526eea4b039be6"><div class="ttname"><a href="classWaveSimulation.html#a07dbefef86c9ed894d526eea4b039be6">WaveSimulation::dt</a></div><div class="ttdeci">double dt</div><div class="ttdoc">The step size int the time direction.</div><div class="ttdef"><b>Definition:</b> <a href="WaveSimulation_8hpp_source.html#l00031">WaveSimulation.hpp:31</a></div></div>
<div class="ttc" id="aclassWaveSimulation_html_a09e997b44ad67b6e3497d77704cd47e7"><div class="ttname"><a href="classWaveSimulation.html#a09e997b44ad67b6e3497d77704cd47e7">WaveSimulation::A</a></div><div class="ttdeci">arma::sp_cx_mat A</div><div class="ttdoc">The A matrix.</div><div class="ttdef"><b>Definition:</b> <a href="WaveSimulation_8hpp_source.html#l00029">WaveSimulation.hpp:29</a></div></div>
<div class="ttc" id="aclassWaveSimulation_html_a25100ad1ffbb0ba16e4928f0c2d58ae7"><div class="ttname"><a href="classWaveSimulation.html#a25100ad1ffbb0ba16e4928f0c2d58ae7">WaveSimulation::initialize_B</a></div><div class="ttdeci">void initialize_B()</div><div class="ttdoc">Initialize the B matrix according to the Crank-Nicolson method.</div></div>
<div class="ttc" id="aclassWaveSimulation_html_a2e7becba595a864b5754be9e858ac3e9"><div class="ttname"><a href="classWaveSimulation.html#a2e7becba595a864b5754be9e858ac3e9">WaveSimulation::M</a></div><div class="ttdeci">int32_t M</div><div class="ttdoc">The size.</div><div class="ttdef"><b>Definition:</b> <a href="WaveSimulation_8hpp_source.html#l00024">WaveSimulation.hpp:24</a></div></div>
<div class="ttc" id="aclassWaveSimulation_html_a36dda9ea37cc41e36c27f9729831786d"><div class="ttname"><a href="classWaveSimulation.html#a36dda9ea37cc41e36c27f9729831786d">WaveSimulation::N</a></div><div class="ttdeci">int32_t N</div><div class="ttdoc">The size of the inner part.</div><div class="ttdef"><b>Definition:</b> <a href="WaveSimulation_8hpp_source.html#l00025">WaveSimulation.hpp:25</a></div></div>
<div class="ttc" id="aclassWaveSimulation_html_a3e7fa7128020c39d51fa933aa7706fd1"><div class="ttname"><a href="classWaveSimulation.html#a3e7fa7128020c39d51fa933aa7706fd1">WaveSimulation::B</a></div><div class="ttdeci">arma::sp_cx_mat B</div><div class="ttdoc">The B matrix.</div><div class="ttdef"><b>Definition:</b> <a href="WaveSimulation_8hpp_source.html#l00028">WaveSimulation.hpp:28</a></div></div>
<div class="ttc" id="aclassWaveSimulation_html_a657df266bf09298fcb1b901b25fb2498"><div class="ttname"><a href="classWaveSimulation.html#a657df266bf09298fcb1b901b25fb2498">WaveSimulation::initialize_V</a></div><div class="ttdeci">void initialize_V(double thickness, double pos_x, double aperture_separation, double aperture, uint32_t slits)</div><div class="ttdoc">Initialize the V matrix.</div></div>
<div class="ttc" id="aclassWaveSimulation_html_a66f2d3a7d278888687822bc20df97f38"><div class="ttname"><a href="classWaveSimulation.html#a66f2d3a7d278888687822bc20df97f38">WaveSimulation::h</a></div><div class="ttdeci">double h</div><div class="ttdoc">The step size in both x and y direction.</div><div class="ttdef"><b>Definition:</b> <a href="WaveSimulation_8hpp_source.html#l00030">WaveSimulation.hpp:30</a></div></div>
<div class="ttc" id="aclassWaveSimulation_html_a6c1e7fb0526a7f7947beaedeb383d4c0"><div class="ttname"><a href="classWaveSimulation.html#a6c1e7fb0526a7f7947beaedeb383d4c0">WaveSimulation::initialize_A</a></div><div class="ttdeci">void initialize_A()</div><div class="ttdoc">Initialize the A matrix according to the Crank-Nicolson method.</div></div>
<div class="ttc" id="aclassWaveSimulation_html_a82742cffc7c344d705c6a532ed605b0c"><div class="ttname"><a href="classWaveSimulation.html#a82742cffc7c344d705c6a532ed605b0c">WaveSimulation::simulate</a></div><div class="ttdeci">void simulate(std::string outfile, bool write_each_step=false)</div><div class="ttdoc">Evolve the wave packet until the time T has been reached and write U to file.</div></div>
<div class="ttc" id="aclassWaveSimulation_html_a94cf5bb27a79ceefdcc1456704ba17e4"><div class="ttname"><a href="classWaveSimulation.html#a94cf5bb27a79ceefdcc1456704ba17e4">WaveSimulation::WaveSimulation</a></div><div class="ttdeci">WaveSimulation(double h, double dt, double T, double x_c, double y_c, double sigma_x, double sigma_y, double p_x, double p_y)</div><div class="ttdoc">Constructor for the WaveSimulation class with no wall.</div></div>
<div class="ttc" id="aclassWaveSimulation_html_aad9e34b8466636b0a346dd30aef35eca"><div class="ttname"><a href="classWaveSimulation.html#aad9e34b8466636b0a346dd30aef35eca">WaveSimulation::initialize_V</a></div><div class="ttdeci">void initialize_V()</div><div class="ttdoc">Initialize the V matrix with no wall.</div></div>
<div class="ttc" id="aclassWaveSimulation_html_ab142a9563a302f6cd4b015e3a388c1a4"><div class="ttname"><a href="classWaveSimulation.html#ab142a9563a302f6cd4b015e3a388c1a4">WaveSimulation::simulate</a></div><div class="ttdeci">void simulate(std::string outfile, std::vector&lt; double &gt; &amp;steps)</div><div class="ttdoc">Evolve the wave packet and write U to fileto file at each time step in the vector given.</div></div>
<div class="ttc" id="aclassWaveSimulation_html_ac40056e5c4b7ae3a022195cb447439b6"><div class="ttname"><a href="classWaveSimulation.html#ac40056e5c4b7ae3a022195cb447439b6">WaveSimulation::V</a></div><div class="ttdeci">arma::cx_mat V</div><div class="ttdoc">The potential matrix.</div><div class="ttdef"><b>Definition:</b> <a href="WaveSimulation_8hpp_source.html#l00026">WaveSimulation.hpp:26</a></div></div>
<div class="ttc" id="aclassWaveSimulation_html_acb893267a27945645510d736cba2939d"><div class="ttname"><a href="classWaveSimulation.html#acb893267a27945645510d736cba2939d">WaveSimulation::write_U</a></div><div class="ttdeci">void write_U(std::ofstream &amp;ofile)</div><div class="ttdoc">Write the U matrix in a single line to the file buffer given.</div></div>
<div class="ttc" id="aclassWaveSimulation_html_acb9ed0a8b77ef23ad8682fdef00b5076"><div class="ttname"><a href="classWaveSimulation.html#acb9ed0a8b77ef23ad8682fdef00b5076">WaveSimulation::WaveSimulation</a></div><div class="ttdeci">WaveSimulation(double h, double dt, double T, double x_c, double y_c, double sigma_x, double sigma_y, double p_x, double p_y, double thickness, double pos_x, double ap_sep, double ap, uint32_t slits)</div><div class="ttdoc">Constructor for the WaveSimulation class.</div></div>
<div class="ttc" id="aclassWaveSimulation_html_aebd53edf928035c7a2438cdd3b1d7d7e"><div class="ttname"><a href="classWaveSimulation.html#aebd53edf928035c7a2438cdd3b1d7d7e">WaveSimulation::T</a></div><div class="ttdeci">double T</div><div class="ttdoc">The end time.</div><div class="ttdef"><b>Definition:</b> <a href="WaveSimulation_8hpp_source.html#l00032">WaveSimulation.hpp:32</a></div></div>
<div class="ttc" id="aclassWaveSimulation_html_aed4433e3c80ceaad874471a994b6bf0e"><div class="ttname"><a href="classWaveSimulation.html#aed4433e3c80ceaad874471a994b6bf0e">WaveSimulation::initialize_U</a></div><div class="ttdeci">void initialize_U(double x_c, double y_c, double sigma_x, double sigma_y, double p_x, double p_y)</div><div class="ttdoc">Initialize the U matrix using an unormalized Gaussian wave packet.</div></div>
<div class="ttc" id="aclassWaveSimulation_html_af0752a10a110644d99ef5c6cab7421c9"><div class="ttname"><a href="classWaveSimulation.html#af0752a10a110644d99ef5c6cab7421c9">WaveSimulation::probability_deviation</a></div><div class="ttdeci">void probability_deviation(std::string outfile, bool write_each_step=false)</div><div class="ttdoc">Write the deviation of the sum of the probability of U from 1.</div></div>
<div class="ttc" id="aclassWaveSimulation_html_af9d988b741c59e6de3a32d506538019f"><div class="ttname"><a href="classWaveSimulation.html#af9d988b741c59e6de3a32d506538019f">WaveSimulation::step</a></div><div class="ttdeci">void step()</div><div class="ttdoc">Evolve a step forward in time.</div></div>
<div class="ttc" id="aconstants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div><div class="ttdoc">Library of constants.</div></div>
<div class="ttc" id="aliterals_8hpp_html"><div class="ttname"><a href="literals_8hpp.html">literals.hpp</a></div><div class="ttdoc">Useful literals.</div></div>
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<tr id="row_0_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classWaveSimulation.html" target="_self">WaveSimulation</a></td><td class="desc">Simulate the evolution of a wave packet in 2 + 1 domensions </td></tr>
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<p>This is the complete list of members for <a class="el" href="classWaveSimulation.html">WaveSimulation</a>, including all inherited members.</p>
<table class="directory">
<tr class="even"><td class="entry"><a class="el" href="classWaveSimulation.html#a09e997b44ad67b6e3497d77704cd47e7">A</a></td><td class="entry"><a class="el" href="classWaveSimulation.html">WaveSimulation</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr class="odd"><td class="entry"><a class="el" href="classWaveSimulation.html#a3e7fa7128020c39d51fa933aa7706fd1">B</a></td><td class="entry"><a class="el" href="classWaveSimulation.html">WaveSimulation</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr class="even"><td class="entry"><a class="el" href="classWaveSimulation.html#a07dbefef86c9ed894d526eea4b039be6">dt</a></td><td class="entry"><a class="el" href="classWaveSimulation.html">WaveSimulation</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr class="odd"><td class="entry"><a class="el" href="classWaveSimulation.html#a66f2d3a7d278888687822bc20df97f38">h</a></td><td class="entry"><a class="el" href="classWaveSimulation.html">WaveSimulation</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr class="even"><td class="entry"><a class="el" href="classWaveSimulation.html#a6c1e7fb0526a7f7947beaedeb383d4c0">initialize_A</a>()</td><td class="entry"><a class="el" href="classWaveSimulation.html">WaveSimulation</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr class="odd"><td class="entry"><a class="el" href="classWaveSimulation.html#a25100ad1ffbb0ba16e4928f0c2d58ae7">initialize_B</a>()</td><td class="entry"><a class="el" href="classWaveSimulation.html">WaveSimulation</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr class="even"><td class="entry"><a class="el" href="classWaveSimulation.html#aed4433e3c80ceaad874471a994b6bf0e">initialize_U</a>(double x_c, double y_c, double sigma_x, double sigma_y, double p_x, double p_y)</td><td class="entry"><a class="el" href="classWaveSimulation.html">WaveSimulation</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr class="odd"><td class="entry"><a class="el" href="classWaveSimulation.html#a657df266bf09298fcb1b901b25fb2498">initialize_V</a>(double thickness, double pos_x, double aperture_separation, double aperture, uint32_t slits)</td><td class="entry"><a class="el" href="classWaveSimulation.html">WaveSimulation</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr class="even"><td class="entry"><a class="el" href="classWaveSimulation.html#aad9e34b8466636b0a346dd30aef35eca">initialize_V</a>()</td><td class="entry"><a class="el" href="classWaveSimulation.html">WaveSimulation</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr class="odd"><td class="entry"><a class="el" href="classWaveSimulation.html#a2e7becba595a864b5754be9e858ac3e9">M</a></td><td class="entry"><a class="el" href="classWaveSimulation.html">WaveSimulation</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr class="even"><td class="entry"><a class="el" href="classWaveSimulation.html#a36dda9ea37cc41e36c27f9729831786d">N</a></td><td class="entry"><a class="el" href="classWaveSimulation.html">WaveSimulation</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr class="odd"><td class="entry"><a class="el" href="classWaveSimulation.html#af0752a10a110644d99ef5c6cab7421c9">probability_deviation</a>(std::string outfile, bool write_each_step=false)</td><td class="entry"><a class="el" href="classWaveSimulation.html">WaveSimulation</a></td><td class="entry"></td></tr>
<tr class="even"><td class="entry"><a class="el" href="classWaveSimulation.html#a82742cffc7c344d705c6a532ed605b0c">simulate</a>(std::string outfile, bool write_each_step=false)</td><td class="entry"><a class="el" href="classWaveSimulation.html">WaveSimulation</a></td><td class="entry"></td></tr>
<tr class="odd"><td class="entry"><a class="el" href="classWaveSimulation.html#ab142a9563a302f6cd4b015e3a388c1a4">simulate</a>(std::string outfile, std::vector&lt; double &gt; &amp;steps)</td><td class="entry"><a class="el" href="classWaveSimulation.html">WaveSimulation</a></td><td class="entry"></td></tr>
<tr class="even"><td class="entry"><a class="el" href="classWaveSimulation.html#af9d988b741c59e6de3a32d506538019f">step</a>()</td><td class="entry"><a class="el" href="classWaveSimulation.html">WaveSimulation</a></td><td class="entry"></td></tr>
<tr class="odd"><td class="entry"><a class="el" href="classWaveSimulation.html#aebd53edf928035c7a2438cdd3b1d7d7e">T</a></td><td class="entry"><a class="el" href="classWaveSimulation.html">WaveSimulation</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr class="even"><td class="entry"><a class="el" href="classWaveSimulation.html#a02052a447cf7fb49001e231d3a856814">U</a></td><td class="entry"><a class="el" href="classWaveSimulation.html">WaveSimulation</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr class="odd"><td class="entry"><a class="el" href="classWaveSimulation.html#ac40056e5c4b7ae3a022195cb447439b6">V</a></td><td class="entry"><a class="el" href="classWaveSimulation.html">WaveSimulation</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr class="even"><td class="entry"><a class="el" href="classWaveSimulation.html#acb9ed0a8b77ef23ad8682fdef00b5076">WaveSimulation</a>(double h, double dt, double T, double x_c, double y_c, double sigma_x, double sigma_y, double p_x, double p_y, double thickness, double pos_x, double ap_sep, double ap, uint32_t slits)</td><td class="entry"><a class="el" href="classWaveSimulation.html">WaveSimulation</a></td><td class="entry"></td></tr>
<tr class="odd"><td class="entry"><a class="el" href="classWaveSimulation.html#a94cf5bb27a79ceefdcc1456704ba17e4">WaveSimulation</a>(double h, double dt, double T, double x_c, double y_c, double sigma_x, double sigma_y, double p_x, double p_y)</td><td class="entry"><a class="el" href="classWaveSimulation.html">WaveSimulation</a></td><td class="entry"></td></tr>
<tr class="even"><td class="entry"><a class="el" href="classWaveSimulation.html#acb893267a27945645510d736cba2939d">write_U</a>(std::ofstream &amp;ofile)</td><td class="entry"><a class="el" href="classWaveSimulation.html">WaveSimulation</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
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<a href="#pub-methods">Public Member Functions</a> &#124;
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<a href="classWaveSimulation-members.html">List of all members</a> </div>
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<p>Simulate the evolution of a wave packet in 2 + 1 domensions.
<a href="classWaveSimulation.html#details">More...</a></p>
<p><code>#include &lt;<a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a>&gt;</code></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pub-methods" name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:acb9ed0a8b77ef23ad8682fdef00b5076"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#acb9ed0a8b77ef23ad8682fdef00b5076">WaveSimulation</a> (double <a class="el" href="classWaveSimulation.html#a66f2d3a7d278888687822bc20df97f38">h</a>, double <a class="el" href="classWaveSimulation.html#a07dbefef86c9ed894d526eea4b039be6">dt</a>, double <a class="el" href="classWaveSimulation.html#aebd53edf928035c7a2438cdd3b1d7d7e">T</a>, double x_c, double y_c, double sigma_x, double sigma_y, double p_x, double p_y, double thickness, double pos_x, double ap_sep, double ap, uint32_t slits)</td></tr>
<tr class="memdesc:acb9ed0a8b77ef23ad8682fdef00b5076"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructor for the <a class="el" href="classWaveSimulation.html" title="Simulate the evolution of a wave packet in 2 + 1 domensions.">WaveSimulation</a> class. <br /></td></tr>
<tr class="separator:acb9ed0a8b77ef23ad8682fdef00b5076"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a94cf5bb27a79ceefdcc1456704ba17e4"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#a94cf5bb27a79ceefdcc1456704ba17e4">WaveSimulation</a> (double <a class="el" href="classWaveSimulation.html#a66f2d3a7d278888687822bc20df97f38">h</a>, double <a class="el" href="classWaveSimulation.html#a07dbefef86c9ed894d526eea4b039be6">dt</a>, double <a class="el" href="classWaveSimulation.html#aebd53edf928035c7a2438cdd3b1d7d7e">T</a>, double x_c, double y_c, double sigma_x, double sigma_y, double p_x, double p_y)</td></tr>
<tr class="memdesc:a94cf5bb27a79ceefdcc1456704ba17e4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructor for the <a class="el" href="classWaveSimulation.html" title="Simulate the evolution of a wave packet in 2 + 1 domensions.">WaveSimulation</a> class with no wall. <br /></td></tr>
<tr class="separator:a94cf5bb27a79ceefdcc1456704ba17e4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af9d988b741c59e6de3a32d506538019f"><td class="memItemLeft" align="right" valign="top"><a id="af9d988b741c59e6de3a32d506538019f" name="af9d988b741c59e6de3a32d506538019f"></a>
void&#160;</td><td class="memItemRight" valign="bottom"><b>step</b> ()</td></tr>
<tr class="memdesc:af9d988b741c59e6de3a32d506538019f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Evolve a step forward in time. <br /></td></tr>
<tr class="separator:af9d988b741c59e6de3a32d506538019f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a82742cffc7c344d705c6a532ed605b0c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#a82742cffc7c344d705c6a532ed605b0c">simulate</a> (std::string outfile, bool write_each_step=false)</td></tr>
<tr class="memdesc:a82742cffc7c344d705c6a532ed605b0c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Evolve the wave packet until the time T has been reached and write U to file. <br /></td></tr>
<tr class="separator:a82742cffc7c344d705c6a532ed605b0c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab142a9563a302f6cd4b015e3a388c1a4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#ab142a9563a302f6cd4b015e3a388c1a4">simulate</a> (std::string outfile, std::vector&lt; double &gt; &amp;steps)</td></tr>
<tr class="memdesc:ab142a9563a302f6cd4b015e3a388c1a4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Evolve the wave packet and write U to fileto file at each time step in the vector given. <br /></td></tr>
<tr class="separator:ab142a9563a302f6cd4b015e3a388c1a4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af0752a10a110644d99ef5c6cab7421c9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#af0752a10a110644d99ef5c6cab7421c9">probability_deviation</a> (std::string outfile, bool write_each_step=false)</td></tr>
<tr class="memdesc:af0752a10a110644d99ef5c6cab7421c9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Write the deviation of the sum of the probability of U from 1. <br /></td></tr>
<tr class="separator:af0752a10a110644d99ef5c6cab7421c9"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pri-methods" name="pri-methods"></a>
Private Member Functions</h2></td></tr>
<tr class="memitem:aed4433e3c80ceaad874471a994b6bf0e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#aed4433e3c80ceaad874471a994b6bf0e">initialize_U</a> (double x_c, double y_c, double sigma_x, double sigma_y, double p_x, double p_y)</td></tr>
<tr class="memdesc:aed4433e3c80ceaad874471a994b6bf0e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize the U matrix using an unormalized Gaussian wave packet. <br /></td></tr>
<tr class="separator:aed4433e3c80ceaad874471a994b6bf0e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a657df266bf09298fcb1b901b25fb2498"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#a657df266bf09298fcb1b901b25fb2498">initialize_V</a> (double thickness, double pos_x, double aperture_separation, double aperture, uint32_t slits)</td></tr>
<tr class="memdesc:a657df266bf09298fcb1b901b25fb2498"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize the V matrix. <br /></td></tr>
<tr class="separator:a657df266bf09298fcb1b901b25fb2498"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aad9e34b8466636b0a346dd30aef35eca"><td class="memItemLeft" align="right" valign="top"><a id="aad9e34b8466636b0a346dd30aef35eca" name="aad9e34b8466636b0a346dd30aef35eca"></a>
void&#160;</td><td class="memItemRight" valign="bottom"><b>initialize_V</b> ()</td></tr>
<tr class="memdesc:aad9e34b8466636b0a346dd30aef35eca"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize the V matrix with no wall. <br /></td></tr>
<tr class="separator:aad9e34b8466636b0a346dd30aef35eca"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6c1e7fb0526a7f7947beaedeb383d4c0"><td class="memItemLeft" align="right" valign="top"><a id="a6c1e7fb0526a7f7947beaedeb383d4c0" name="a6c1e7fb0526a7f7947beaedeb383d4c0"></a>
void&#160;</td><td class="memItemRight" valign="bottom"><b>initialize_A</b> ()</td></tr>
<tr class="memdesc:a6c1e7fb0526a7f7947beaedeb383d4c0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize the A matrix according to the Crank-Nicolson method. <br /></td></tr>
<tr class="separator:a6c1e7fb0526a7f7947beaedeb383d4c0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a25100ad1ffbb0ba16e4928f0c2d58ae7"><td class="memItemLeft" align="right" valign="top"><a id="a25100ad1ffbb0ba16e4928f0c2d58ae7" name="a25100ad1ffbb0ba16e4928f0c2d58ae7"></a>
void&#160;</td><td class="memItemRight" valign="bottom"><b>initialize_B</b> ()</td></tr>
<tr class="memdesc:a25100ad1ffbb0ba16e4928f0c2d58ae7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize the B matrix according to the Crank-Nicolson method. <br /></td></tr>
<tr class="separator:a25100ad1ffbb0ba16e4928f0c2d58ae7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acb893267a27945645510d736cba2939d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#acb893267a27945645510d736cba2939d">write_U</a> (std::ofstream &amp;ofile)</td></tr>
<tr class="memdesc:acb893267a27945645510d736cba2939d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Write the U matrix in a single line to the file buffer given. <br /></td></tr>
<tr class="separator:acb893267a27945645510d736cba2939d"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pri-attribs" name="pri-attribs"></a>
Private Attributes</h2></td></tr>
<tr class="memitem:a2e7becba595a864b5754be9e858ac3e9"><td class="memItemLeft" align="right" valign="top">int32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#a2e7becba595a864b5754be9e858ac3e9">M</a></td></tr>
<tr class="memdesc:a2e7becba595a864b5754be9e858ac3e9"><td class="mdescLeft">&#160;</td><td class="mdescRight">The size. <br /></td></tr>
<tr class="separator:a2e7becba595a864b5754be9e858ac3e9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a36dda9ea37cc41e36c27f9729831786d"><td class="memItemLeft" align="right" valign="top">int32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#a36dda9ea37cc41e36c27f9729831786d">N</a></td></tr>
<tr class="memdesc:a36dda9ea37cc41e36c27f9729831786d"><td class="mdescLeft">&#160;</td><td class="mdescRight">The size of the inner part. <br /></td></tr>
<tr class="separator:a36dda9ea37cc41e36c27f9729831786d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac40056e5c4b7ae3a022195cb447439b6"><td class="memItemLeft" align="right" valign="top">arma::cx_mat&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#ac40056e5c4b7ae3a022195cb447439b6">V</a></td></tr>
<tr class="memdesc:ac40056e5c4b7ae3a022195cb447439b6"><td class="mdescLeft">&#160;</td><td class="mdescRight">The potential matrix. <br /></td></tr>
<tr class="separator:ac40056e5c4b7ae3a022195cb447439b6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a02052a447cf7fb49001e231d3a856814"><td class="memItemLeft" align="right" valign="top">arma::cx_mat&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#a02052a447cf7fb49001e231d3a856814">U</a></td></tr>
<tr class="memdesc:a02052a447cf7fb49001e231d3a856814"><td class="mdescLeft">&#160;</td><td class="mdescRight">The particle wave matrix. <br /></td></tr>
<tr class="separator:a02052a447cf7fb49001e231d3a856814"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3e7fa7128020c39d51fa933aa7706fd1"><td class="memItemLeft" align="right" valign="top">arma::sp_cx_mat&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#a3e7fa7128020c39d51fa933aa7706fd1">B</a></td></tr>
<tr class="memdesc:a3e7fa7128020c39d51fa933aa7706fd1"><td class="mdescLeft">&#160;</td><td class="mdescRight">The B matrix. <br /></td></tr>
<tr class="separator:a3e7fa7128020c39d51fa933aa7706fd1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a09e997b44ad67b6e3497d77704cd47e7"><td class="memItemLeft" align="right" valign="top">arma::sp_cx_mat&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#a09e997b44ad67b6e3497d77704cd47e7">A</a></td></tr>
<tr class="memdesc:a09e997b44ad67b6e3497d77704cd47e7"><td class="mdescLeft">&#160;</td><td class="mdescRight">The A matrix. <br /></td></tr>
<tr class="separator:a09e997b44ad67b6e3497d77704cd47e7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a66f2d3a7d278888687822bc20df97f38"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#a66f2d3a7d278888687822bc20df97f38">h</a></td></tr>
<tr class="memdesc:a66f2d3a7d278888687822bc20df97f38"><td class="mdescLeft">&#160;</td><td class="mdescRight">The step size in both x and y direction. <br /></td></tr>
<tr class="separator:a66f2d3a7d278888687822bc20df97f38"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a07dbefef86c9ed894d526eea4b039be6"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#a07dbefef86c9ed894d526eea4b039be6">dt</a></td></tr>
<tr class="memdesc:a07dbefef86c9ed894d526eea4b039be6"><td class="mdescLeft">&#160;</td><td class="mdescRight">The step size int the time direction. <br /></td></tr>
<tr class="separator:a07dbefef86c9ed894d526eea4b039be6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aebd53edf928035c7a2438cdd3b1d7d7e"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#aebd53edf928035c7a2438cdd3b1d7d7e">T</a></td></tr>
<tr class="memdesc:aebd53edf928035c7a2438cdd3b1d7d7e"><td class="mdescLeft">&#160;</td><td class="mdescRight">The end time. <br /></td></tr>
<tr class="separator:aebd53edf928035c7a2438cdd3b1d7d7e"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Simulate the evolution of a wave packet in 2 + 1 domensions. </p>
<p class="definition">Definition at line <a class="el" href="WaveSimulation_8hpp_source.html#l00022">22</a> of file <a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a>.</p>
</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
<a id="acb9ed0a8b77ef23ad8682fdef00b5076" name="acb9ed0a8b77ef23ad8682fdef00b5076"></a>
<h2 class="memtitle"><span class="permalink"><a href="#acb9ed0a8b77ef23ad8682fdef00b5076">&#9670;&#160;</a></span>WaveSimulation() <span class="overload">[1/2]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">WaveSimulation::WaveSimulation </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>h</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>dt</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>T</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>x_c</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>y_c</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>sigma_x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>sigma_y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>p_x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>p_y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>thickness</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>pos_x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>ap_sep</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>ap</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t&#160;</td>
<td class="paramname"><em>slits</em>&#160;</td>
</tr>
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<td></td>
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<p>Constructor for the <a class="el" href="classWaveSimulation.html" title="Simulate the evolution of a wave packet in 2 + 1 domensions.">WaveSimulation</a> class. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">h</td><td>The step size in the x and y direction. </td></tr>
<tr><td class="paramname">dt</td><td>The step size in the temporal dimension. </td></tr>
<tr><td class="paramname">T</td><td>The total time to simulate. </td></tr>
<tr><td class="paramname">x_c</td><td>The center of the packet in the x direction. </td></tr>
<tr><td class="paramname">y_c</td><td>The center of the packet in the y direction. </td></tr>
<tr><td class="paramname">sigma_x</td><td>The The initial width in the x direction. </td></tr>
<tr><td class="paramname">sigma_y</td><td>The The initial width in the y direction. </td></tr>
<tr><td class="paramname">p_x</td><td>The wave packet momentum in the x direction. </td></tr>
<tr><td class="paramname">p_y</td><td>The wave packet momentum in the y direction. </td></tr>
<tr><td class="paramname">thickness</td><td>The thickness of the wall in the x direction. </td></tr>
<tr><td class="paramname">pos_x</td><td>The center of the wall in the x direction. </td></tr>
<tr><td class="paramname">ap_sep</td><td>The separation between each aperture. </td></tr>
<tr><td class="paramname">ap</td><td>The aperture width. </td></tr>
<tr><td class="paramname">slits</td><td>The number of slits. </td></tr>
</table>
</dd>
</dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a94cf5bb27a79ceefdcc1456704ba17e4">&#9670;&#160;</a></span>WaveSimulation() <span class="overload">[2/2]</span></h2>
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<td class="memname">WaveSimulation::WaveSimulation </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>h</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>dt</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>T</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>x_c</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>y_c</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>sigma_x</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>sigma_y</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>p_x</em>, </td>
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<td class="paramtype">double&#160;</td>
<td class="paramname"><em>p_y</em>&#160;</td>
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<td>)</td>
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<p>Constructor for the <a class="el" href="classWaveSimulation.html" title="Simulate the evolution of a wave packet in 2 + 1 domensions.">WaveSimulation</a> class with no wall. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">h</td><td>The step size in the x and y direction. </td></tr>
<tr><td class="paramname">dt</td><td>The step size in the temporal dimension. </td></tr>
<tr><td class="paramname">T</td><td>The total time to simulate. </td></tr>
<tr><td class="paramname">x_c</td><td>The center of the packet in the x direction. </td></tr>
<tr><td class="paramname">y_c</td><td>The center of the packet in the y direction. </td></tr>
<tr><td class="paramname">sigma_x</td><td>The The initial width in the x direction. </td></tr>
<tr><td class="paramname">sigma_y</td><td>The The initial width in the y direction. </td></tr>
<tr><td class="paramname">p_x</td><td>The wave packet momentum in the x direction. </td></tr>
<tr><td class="paramname">p_y</td><td>The wave packet momentum in the y direction. </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<h2 class="groupheader">Member Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#aed4433e3c80ceaad874471a994b6bf0e">&#9670;&#160;</a></span>initialize_U()</h2>
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<td class="memname">void WaveSimulation::initialize_U </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>x_c</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>y_c</em>, </td>
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<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>sigma_x</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>sigma_y</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>p_x</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>p_y</em>&#160;</td>
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<tr>
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<td>)</td>
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<p>Initialize the U matrix using an unormalized Gaussian wave packet. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x_c</td><td>The center of the packet in the x direction. </td></tr>
<tr><td class="paramname">y_c</td><td>The center of the packet in the y direction. </td></tr>
<tr><td class="paramname">sigma_x</td><td>The The initial width in the x direction. </td></tr>
<tr><td class="paramname">sigma_y</td><td>The The initial width in the y direction. </td></tr>
<tr><td class="paramname">p_x</td><td>The wave packet momentum in the x direction. </td></tr>
<tr><td class="paramname">p_y</td><td>The wave packet momentum in the y direction. </td></tr>
</table>
</dd>
</dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a657df266bf09298fcb1b901b25fb2498">&#9670;&#160;</a></span>initialize_V()</h2>
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<td class="memname">void WaveSimulation::initialize_V </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>thickness</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>pos_x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>aperture_separation</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>aperture</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t&#160;</td>
<td class="paramname"><em>slits</em>&#160;</td>
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<td></td>
<td>)</td>
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<p>Initialize the V matrix. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">thickness</td><td>The thickness of the wall in the x direction. </td></tr>
<tr><td class="paramname">pos_x</td><td>The center of the wall in the x direction. </td></tr>
<tr><td class="paramname">ap_sep</td><td>The separation between each aperture. </td></tr>
<tr><td class="paramname">ap</td><td>The aperture width. </td></tr>
<tr><td class="paramname">slits</td><td>The number of slits. </td></tr>
</table>
</dd>
</dl>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#af0752a10a110644d99ef5c6cab7421c9">&#9670;&#160;</a></span>probability_deviation()</h2>
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<td class="memname">void WaveSimulation::probability_deviation </td>
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<p>Write the deviation of the sum of the probability of U from 1. </p>
<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">outfile</td><td>The name of the file to write to to file </td></tr>
</table>
</dd>
</dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a82742cffc7c344d705c6a532ed605b0c">&#9670;&#160;</a></span>simulate() <span class="overload">[1/2]</span></h2>
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<td class="memname">void WaveSimulation::simulate </td>
<td>(</td>
<td class="paramtype">std::string&#160;</td>
<td class="paramname"><em>outfile</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">bool&#160;</td>
<td class="paramname"><em>write_each_step</em> = <code>false</code>&#160;</td>
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<p>Evolve the wave packet until the time T has been reached and write U to file. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">outfile</td><td>The name of the file to write to </td></tr>
<tr><td class="paramname">write_each_step</td><td>Boolean for deciding to write each step to file or just the last step </td></tr>
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</dd>
</dl>
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<h2 class="memtitle"><span class="permalink"><a href="#ab142a9563a302f6cd4b015e3a388c1a4">&#9670;&#160;</a></span>simulate() <span class="overload">[2/2]</span></h2>
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<td class="memname">void WaveSimulation::simulate </td>
<td>(</td>
<td class="paramtype">std::string&#160;</td>
<td class="paramname"><em>outfile</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">std::vector&lt; double &gt; &amp;&#160;</td>
<td class="paramname"><em>steps</em>&#160;</td>
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<p>Evolve the wave packet and write U to fileto file at each time step in the vector given. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">outfile</td><td>The name of the file to write to </td></tr>
<tr><td class="paramname">steps</td><td>What time steps to write U to file. </td></tr>
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</dd>
</dl>
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<h2 class="memtitle"><span class="permalink"><a href="#acb893267a27945645510d736cba2939d">&#9670;&#160;</a></span>write_U()</h2>
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<td class="memname">void WaveSimulation::write_U </td>
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<td class="paramtype">std::ofstream &amp;&#160;</td>
<td class="paramname"><em>ofile</em></td><td>)</td>
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<p>Write the U matrix in a single line to the file buffer given. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">ofile</td><td>The file buffer to write to </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<h2 class="groupheader">Member Data Documentation</h2>
<a id="a09e997b44ad67b6e3497d77704cd47e7" name="a09e997b44ad67b6e3497d77704cd47e7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a09e997b44ad67b6e3497d77704cd47e7">&#9670;&#160;</a></span>A</h2>
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<td class="memname">arma::sp_cx_mat WaveSimulation::A</td>
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<p>The A matrix. </p>
<p class="definition">Definition at line <a class="el" href="WaveSimulation_8hpp_source.html#l00029">29</a> of file <a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a3e7fa7128020c39d51fa933aa7706fd1">&#9670;&#160;</a></span>B</h2>
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<p>The B matrix. </p>
<p class="definition">Definition at line <a class="el" href="WaveSimulation_8hpp_source.html#l00028">28</a> of file <a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a>.</p>
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<td class="memname">double WaveSimulation::dt</td>
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<p>The step size int the time direction. </p>
<p class="definition">Definition at line <a class="el" href="WaveSimulation_8hpp_source.html#l00031">31</a> of file <a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a66f2d3a7d278888687822bc20df97f38">&#9670;&#160;</a></span>h</h2>
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<p>The step size in both x and y direction. </p>
<p class="definition">Definition at line <a class="el" href="WaveSimulation_8hpp_source.html#l00030">30</a> of file <a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a2e7becba595a864b5754be9e858ac3e9">&#9670;&#160;</a></span>M</h2>
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<td class="memname">int32_t WaveSimulation::M</td>
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<p>The size. </p>
<p class="definition">Definition at line <a class="el" href="WaveSimulation_8hpp_source.html#l00024">24</a> of file <a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a>.</p>
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<p>The size of the inner part. </p>
<p class="definition">Definition at line <a class="el" href="WaveSimulation_8hpp_source.html#l00025">25</a> of file <a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#aebd53edf928035c7a2438cdd3b1d7d7e">&#9670;&#160;</a></span>T</h2>
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<td class="memname">double WaveSimulation::T</td>
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<p>The end time. </p>
<p class="definition">Definition at line <a class="el" href="WaveSimulation_8hpp_source.html#l00032">32</a> of file <a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a02052a447cf7fb49001e231d3a856814">&#9670;&#160;</a></span>U</h2>
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<p>The particle wave matrix. </p>
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Janita Ovidie Sandtrøen Willumsen (janitaws)</dd></dl>
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<div class="textblock"><p><a class="anchor" id="md_README"></a> <a href="https://gitea.balaton.dev/FYS3150/Project-5">Gitea repo</a></p>
<p><a href="https://github.uio.no/FYS3150-G2-2023/Project-5">GitHub repo</a></p>
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Double slit animation</div></div>
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Operating systems</h2>
<ul>
<li>Linux<ul>
<li>Has been tested on <a href="https://fedoraproject.org/">Fedora 38</a></li>
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<li>macOS<ul>
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<li>Windows<ul>
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<li><a href="https://matplotlib.org/">matplotlib</a></li>
<li><a href="https://numpy.org/">numpy</a></li>
<li><a href="https://seaborn.pydata.org/">seaborn</a></li>
</ul>
</li>
<li>C++<ul>
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</li>
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</div><!-- fragment --><p>The binaries will then be inside the <b>bin</b> directory.</p>
<h2><a class="anchor" id="autotoc_md6"></a>
Debugging binaries</h2>
<p>If you want to debug the code, then use this command:</p>
<div class="fragment"><div class="line">make debug</div>
</div><!-- fragment --><p>The binaries will then be inside the <b>debug</b> directory.</p>
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<h2><a class="anchor" id="autotoc_md8"></a>
C++ binaries</h2>
<p>To run any of the programs, just use the following command:</p>
<div class="fragment"><div class="line">./&lt;bin|debug&gt;/&lt;program-name&gt; &lt;args&gt;</div>
</div><!-- fragment --><p>For the <b>wave_simulation</b> program, you can use a file where each line contains a configuration for the <a class="el" href="classWaveSimulation.html" title="Simulate the evolution of a wave packet in 2 + 1 domensions.">WaveSimulation</a> class and what to output to a file. This different values should be separated by semicolons. Here is the order of what variables should be in one line: </p><pre class="fragment">h; dt; T; x_c; y_c; sigma_x; sigma_y; p_x; p_y; &lt;thickness; pos_x; ap_sep; ap; slits&gt;; &lt;write_each step || the steps to write to file&gt;
</pre><p> where &lt;&gt; is optional.</p>
<p>An example of a file can be found under the args directory.</p>
<h2><a class="anchor" id="autotoc_md9"></a>
Python scripts</h2>
<h3><a class="anchor" id="autotoc_md10"></a>
Install libraries</h3>
<p>Before running the scripts, make sure that all libraries are installed. Using pip, you can install all requirements like this:</p>
<div class="fragment"><div class="line">pip install -r requirements.txt</div>
</div><!-- fragment --><p>This recursively install all the packages that are listed in <b>requirements.txt</b>.</p>
<h3><a class="anchor" id="autotoc_md11"></a>
Running scripts</h3>
<p>For the Python scripts, run them from the root of the project:</p>
<div class="fragment"><div class="line">python python_scripts/&lt;script-name&gt;</div>
</div><!-- fragment --><p>If you have any problems running the scripts, you might have to run this instead:</p>
<div class="fragment"><div class="line">python3 python_scripts/&lt;script-name&gt;</div>
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std::complex&lt; double &gt;&#160;</td><td class="memItemRight" valign="bottom"><b>operator&quot;&quot;_i</b> (long double magnitude)</td></tr>
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<div class="textblock"><p>Useful literals. </p>
<dl class="section author"><dt>Author</dt><dd>Cory Alexander Balaton (coryab) </dd>
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Janita Ovidie Sandtrøen Willumsen (janitaws)</dd></dl>
<dl class="section version"><dt>Version</dt><dd>1.0</dd></dl>
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<a href="literals_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="preprocessor">#ifndef __LITERALS__</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="preprocessor">#define __LITERALS__</span></div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span>std::complex&lt;double&gt; <span class="keyword">operator</span> <span class="stringliteral">&quot;&quot;</span>_i(<span class="keywordtype">long</span> <span class="keywordtype">double</span> magnitude);</div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> </div>
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<p>The main program.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &quot;<a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="utils_8hpp_source.html">utils.hpp</a>&quot;</code><br />
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Functions</h2></td></tr>
<tr class="memitem:a32f6d94ffc998867c45d4f5c56dfbeab"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="main_8cpp.html#a32f6d94ffc998867c45d4f5c56dfbeab">probability_deviation</a> ()</td></tr>
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<tr class="memitem:a26ece0f99a529fdc2fff951c15c78eb4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="main_8cpp.html#a26ece0f99a529fdc2fff951c15c78eb4">color_map</a> ()</td></tr>
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<tr class="memitem:accf163fd68bac120403784dd0abb7422"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="main_8cpp.html#accf163fd68bac120403784dd0abb7422">detector_screen</a> ()</td></tr>
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<tr class="memitem:a039d55c986652a41321402fe8e41baa5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="main_8cpp.html#a039d55c986652a41321402fe8e41baa5">animation</a> ()</td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="main_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>The main program. </p>
<dl class="section author"><dt>Author</dt><dd>Cory Alexander Balaton (coryab) </dd>
<dd>
Janita Ovidie Sandtrøen Willumsen (janitaws)</dd></dl>
<dl class="section version"><dt>Version</dt><dd>1.0</dd></dl>
<dl class="bug"><dt><b><a class="el" href="bug.html#_bug000006">Bug:</a></b></dt><dd>No known bugs </dd></dl>
<p class="definition">Definition in file <a class="el" href="main_8cpp_source.html">main.cpp</a>.</p>
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<a id="a039d55c986652a41321402fe8e41baa5" name="a039d55c986652a41321402fe8e41baa5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a039d55c986652a41321402fe8e41baa5">&#9670;&#160;</a></span>animation()</h2>
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<td class="memname">void animation </td>
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<p class="definition">Definition at line <a class="el" href="main_8cpp_source.html#l00064">64</a> of file <a class="el" href="main_8cpp_source.html">main.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a26ece0f99a529fdc2fff951c15c78eb4">&#9670;&#160;</a></span>color_map()</h2>
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<td class="memname">void color_map </td>
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<p class="definition">Definition at line <a class="el" href="main_8cpp_source.html#l00035">35</a> of file <a class="el" href="main_8cpp_source.html">main.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#accf163fd68bac120403784dd0abb7422">&#9670;&#160;</a></span>detector_screen()</h2>
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<td class="memname">void detector_screen </td>
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<p class="definition">Definition at line <a class="el" href="main_8cpp_source.html#l00044">44</a> of file <a class="el" href="main_8cpp_source.html">main.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
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<td class="memname">int main </td>
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<p class="definition">Definition at line <a class="el" href="main_8cpp_source.html#l00073">73</a> of file <a class="el" href="main_8cpp_source.html">main.cpp</a>.</p>
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<a id="a32f6d94ffc998867c45d4f5c56dfbeab" name="a32f6d94ffc998867c45d4f5c56dfbeab"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a32f6d94ffc998867c45d4f5c56dfbeab">&#9670;&#160;</a></span>probability_deviation()</h2>
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<td class="memname">void probability_deviation </td>
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<td></td>
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<p class="definition">Definition at line <a class="el" href="main_8cpp_source.html#l00017">17</a> of file <a class="el" href="main_8cpp_source.html">main.cpp</a>.</p>
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<a href="main_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="preprocessor">#include &quot;<a class="code" href="WaveSimulation_8hpp.html">WaveSimulation.hpp</a>&quot;</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="preprocessor">#include &quot;<a class="code" href="utils_8hpp.html">utils.hpp</a>&quot;</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span> </div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include &lt;fstream&gt;</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="keywordtype">void</span> probability_deviation()</div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span>{</div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> <a class="code hl_define" href="utils_8hpp.html#aecc1f7a8a2493b9e021e5bff76a00a5b">DEBUG</a>(<span class="stringliteral">&quot;Sim no slits&quot;</span>);</div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> <a class="code hl_class" href="classWaveSimulation.html">WaveSimulation</a> sim_no_slits(.005, 2.5e-5, .008, .25, .5, .05, .05, 200.,</div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> 0.);</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> </div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> <a class="code hl_define" href="utils_8hpp.html#aecc1f7a8a2493b9e021e5bff76a00a5b">DEBUG</a>(<span class="stringliteral">&quot;Sim with slits&quot;</span>);</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> <a class="code hl_class" href="classWaveSimulation.html">WaveSimulation</a> sim_slits(.005, 2.5e-5, .008, .25, .5, .05, .10, 200., 0.,</div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> 0.02, .5, .05, .05, 2);</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> </div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <a class="code hl_define" href="utils_8hpp.html#aecc1f7a8a2493b9e021e5bff76a00a5b">DEBUG</a>(<span class="stringliteral">&quot;Probability deviation&quot;</span>);</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> sim_no_slits.probability_deviation(</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> <span class="stringliteral">&quot;data/probability_deviation_no_slits.txt&quot;</span>, <span class="keyword">true</span>);</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> <a class="code hl_define" href="utils_8hpp.html#aecc1f7a8a2493b9e021e5bff76a00a5b">DEBUG</a>(<span class="stringliteral">&quot;Probability deviation with slits&quot;</span>);</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> sim_slits.probability_deviation(<span class="stringliteral">&quot;data/probability_deviation_slits.txt&quot;</span>,</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keyword">true</span>);</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span>}</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> </div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="keywordtype">void</span> color_map()</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span>{</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <a class="code hl_class" href="classWaveSimulation.html">WaveSimulation</a> sim(.005, 2.5e-5, .002, .25, .5, .05, .20, 200., 0., 0.02,</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> .5, .05, .05, 2);</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> </div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> std::vector&lt;double&gt; times{0., .001, .002};</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> sim.simulate(<span class="stringliteral">&quot;data/color_map.txt&quot;</span>, times);</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span>}</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> </div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span><span class="keywordtype">void</span> detector_screen()</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span>{</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <a class="code hl_class" href="classWaveSimulation.html">WaveSimulation</a> *sim = <span class="keyword">new</span> <a class="code hl_class" href="classWaveSimulation.html">WaveSimulation</a>(</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> .005, 2.5e-5, .002, .25, .5, .05, .20, 200., 0., 0.02, .5, .05, .05, 1);</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> sim-&gt;<a class="code hl_function" href="classWaveSimulation.html#a82742cffc7c344d705c6a532ed605b0c">simulate</a>(<span class="stringliteral">&quot;data/screen/single_slit.txt&quot;</span>);</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> </div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="keyword">delete</span> sim;</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> sim = <span class="keyword">new</span> <a class="code hl_class" href="classWaveSimulation.html">WaveSimulation</a>(.005, 2.5e-5, .002, .25, .5, .05, .20, 200., 0.,</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> 0.02, .5, .05, .05, 2);</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> </div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> sim-&gt;<a class="code hl_function" href="classWaveSimulation.html#a82742cffc7c344d705c6a532ed605b0c">simulate</a>(<span class="stringliteral">&quot;data/screen/double_slit.txt&quot;</span>);</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> </div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keyword">delete</span> sim;</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> sim = <span class="keyword">new</span> <a class="code hl_class" href="classWaveSimulation.html">WaveSimulation</a>(.005, 2.5e-5, .002, .25, .5, .05, .20, 200., 0.,</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> 0.02, .5, .05, .05, 3);</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> </div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> sim-&gt;<a class="code hl_function" href="classWaveSimulation.html#a82742cffc7c344d705c6a532ed605b0c">simulate</a>(<span class="stringliteral">&quot;data/screen/triple_slit.txt&quot;</span>);</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span>}</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> </div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span><span class="keywordtype">void</span> animation()</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span>{</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> std::ofstream ofile;</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> ofile.open(<span class="stringliteral">&quot;test.txt&quot;</span>);</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <a class="code hl_class" href="classWaveSimulation.html">WaveSimulation</a> sim(.005, 2.5e-5, .008, .25, .5, .05, .10, 200., 0., 0.02,</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> .5, .05, .05, 2);</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> sim.<a class="code hl_function" href="classWaveSimulation.html#a82742cffc7c344d705c6a532ed605b0c">simulate</a>(<span class="stringliteral">&quot;data/animation.txt&quot;</span>, <span class="keyword">true</span>);</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span>}</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> </div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span><span class="keywordtype">int</span> main()</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span>{</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> probability_deviation();</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> color_map();</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> detector_screen();</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> animation();</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> </div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span>}</div>
<div class="ttc" id="aWaveSimulation_8hpp_html"><div class="ttname"><a href="WaveSimulation_8hpp.html">WaveSimulation.hpp</a></div><div class="ttdoc">The definition of the WaveSimulation class.</div></div>
<div class="ttc" id="aclassWaveSimulation_html"><div class="ttname"><a href="classWaveSimulation.html">WaveSimulation</a></div><div class="ttdoc">Simulate the evolution of a wave packet in 2 + 1 domensions.</div><div class="ttdef"><b>Definition:</b> <a href="WaveSimulation_8hpp_source.html#l00022">WaveSimulation.hpp:22</a></div></div>
<div class="ttc" id="aclassWaveSimulation_html_a82742cffc7c344d705c6a532ed605b0c"><div class="ttname"><a href="classWaveSimulation.html#a82742cffc7c344d705c6a532ed605b0c">WaveSimulation::simulate</a></div><div class="ttdeci">void simulate(std::string outfile, bool write_each_step=false)</div><div class="ttdoc">Evolve the wave packet until the time T has been reached and write U to file.</div></div>
<div class="ttc" id="autils_8hpp_html"><div class="ttname"><a href="utils_8hpp.html">utils.hpp</a></div><div class="ttdoc">Function prototypes and macros that are useful.</div></div>
<div class="ttc" id="autils_8hpp_html_aecc1f7a8a2493b9e021e5bff76a00a5b"><div class="ttname"><a href="utils_8hpp.html#aecc1f7a8a2493b9e021e5bff76a00a5b">DEBUG</a></div><div class="ttdeci">#define DEBUG(msg)</div><div class="ttdoc">Writes a debug message.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8hpp_source.html#l00039">utils.hpp:39</a></div></div>
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sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all copies or
substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING
BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,
DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
@licend The above is the entire license notice for the JavaScript code in this file
*/
var menudata={children:[
{text:"Main Page",url:"index.html"},
{text:"Related Pages",url:"pages.html"},
{text:"Classes",url:"annotated.html",children:[
{text:"Class List",url:"annotated.html"},
{text:"Class Index",url:"classes.html"},
{text:"Class Members",url:"functions.html",children:[
{text:"All",url:"functions.html"},
{text:"Functions",url:"functions_func.html"},
{text:"Variables",url:"functions_vars.html"}]}]},
{text:"Files",url:"files.html",children:[
{text:"File List",url:"files.html"},
{text:"File Members",url:"globals.html",children:[
{text:"All",url:"globals.html"},
{text:"Macros",url:"globals_defs.html"}]}]}]}

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margin:0;
padding:4px;
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list-style:none outside none;
margin:0px;
padding:0px;
}
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white-space:nowrap;
margin:0px;
padding:0px;
}
#nav-tree .plus {
margin:0px;
}
#nav-tree .selected {
background-image: url('tab_a.png');
background-repeat:repeat-x;
color: white;
text-shadow: 0px 1px 1px rgba(0, 0, 0, 1.0);
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#nav-tree .selected .arrow {
color: #9CAFD4;
text-shadow: none;
}
#nav-tree img {
margin:0px;
padding:0px;
border:0px;
vertical-align: middle;
}
#nav-tree a {
text-decoration:none;
padding:0px;
margin:0px;
outline:none;
}
#nav-tree .label {
margin:0px;
padding:0px;
font: 12px 'Lucida Grande',Geneva,Helvetica,Arial,sans-serif;
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#nav-tree .label a {
padding:2px;
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#nav-tree .selected a {
text-decoration:none;
color:white;
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margin:0px;
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font-size:14px;
overflow:auto;
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#doc-content {
overflow:auto;
display:block;
padding:0px;
margin:0px;
-webkit-overflow-scrolling : touch; /* iOS 5+ */
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padding:0 6px 0 0;
margin: 0px;
display:block;
position: absolute;
left: 0px;
width: $width;
overflow : hidden;
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display:block;
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background-attachment: scroll;
cursor:ew-resize;
height:100%;
right:0;
top:0;
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display:none;
font-size:0.1px;
position:absolute;
z-index:1;
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margin: 6px 0px 0px 0px;
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#nav-tree {
background-repeat:repeat-x;
background-color: #F9FAFC;
-webkit-overflow-scrolling : touch; /* iOS 5+ */
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#nav-sync {
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top:5px;
right:24px;
z-index:0;
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/*
@licstart The following is the entire license notice for the JavaScript code in this file.
The MIT License (MIT)
Copyright (C) 1997-2020 by Dimitri van Heesch
Permission is hereby granted, free of charge, to any person obtaining a copy of this software
and associated documentation files (the "Software"), to deal in the Software without restriction,
including without limitation the rights to use, copy, modify, merge, publish, distribute,
sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all copies or
substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING
BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,
DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
@licend The above is the entire license notice for the JavaScript code in this file
*/
var navTreeSubIndices = new Array();
var arrowDown = '&#9660;';
var arrowRight = '&#9658;';
function getData(varName)
{
var i = varName.lastIndexOf('/');
var n = i>=0 ? varName.substring(i+1) : varName;
return eval(n.replace(/\-/g,'_'));
}
function stripPath(uri)
{
return uri.substring(uri.lastIndexOf('/')+1);
}
function stripPath2(uri)
{
var i = uri.lastIndexOf('/');
var s = uri.substring(i+1);
var m = uri.substring(0,i+1).match(/\/d\w\/d\w\w\/$/);
return m ? uri.substring(i-6) : s;
}
function hashValue()
{
return $(location).attr('hash').substring(1).replace(/[^\w\-]/g,'');
}
function hashUrl()
{
return '#'+hashValue();
}
function pathName()
{
return $(location).attr('pathname').replace(/[^-A-Za-z0-9+&@#/%?=~_|!:,.;\(\)]/g, '');
}
function localStorageSupported()
{
try {
return 'localStorage' in window && window['localStorage'] !== null && window.localStorage.getItem;
}
catch(e) {
return false;
}
}
function storeLink(link)
{
if (!$("#nav-sync").hasClass('sync') && localStorageSupported()) {
window.localStorage.setItem('navpath',link);
}
}
function deleteLink()
{
if (localStorageSupported()) {
window.localStorage.setItem('navpath','');
}
}
function cachedLink()
{
if (localStorageSupported()) {
return window.localStorage.getItem('navpath');
} else {
return '';
}
}
function getScript(scriptName,func,show)
{
var head = document.getElementsByTagName("head")[0];
var script = document.createElement('script');
script.id = scriptName;
script.type = 'text/javascript';
script.onload = func;
script.src = scriptName+'.js';
head.appendChild(script);
}
function createIndent(o,domNode,node,level)
{
var level=-1;
var n = node;
while (n.parentNode) { level++; n=n.parentNode; }
if (node.childrenData) {
var imgNode = document.createElement("span");
imgNode.className = 'arrow';
imgNode.style.paddingLeft=(16*level).toString()+'px';
imgNode.innerHTML=arrowRight;
node.plus_img = imgNode;
node.expandToggle = document.createElement("a");
node.expandToggle.href = "javascript:void(0)";
node.expandToggle.onclick = function() {
if (node.expanded) {
$(node.getChildrenUL()).slideUp("fast");
node.plus_img.innerHTML=arrowRight;
node.expanded = false;
} else {
expandNode(o, node, false, false);
}
}
node.expandToggle.appendChild(imgNode);
domNode.appendChild(node.expandToggle);
} else {
var span = document.createElement("span");
span.className = 'arrow';
span.style.width = 16*(level+1)+'px';
span.innerHTML = '&#160;';
domNode.appendChild(span);
}
}
var animationInProgress = false;
function gotoAnchor(anchor,aname,updateLocation)
{
var pos, docContent = $('#doc-content');
var ancParent = $(anchor.parent());
if (ancParent.hasClass('memItemLeft') ||
ancParent.hasClass('memtitle') ||
ancParent.hasClass('fieldname') ||
ancParent.hasClass('fieldtype') ||
ancParent.is(':header'))
{
pos = ancParent.position().top;
} else if (anchor.position()) {
pos = anchor.position().top;
}
if (pos) {
var dist = Math.abs(Math.min(
pos-docContent.offset().top,
docContent[0].scrollHeight-
docContent.height()-docContent.scrollTop()));
animationInProgress=true;
docContent.animate({
scrollTop: pos + docContent.scrollTop() - docContent.offset().top
},Math.max(50,Math.min(500,dist)),function(){
if (updateLocation) window.location.href=aname;
animationInProgress=false;
});
}
}
function newNode(o, po, text, link, childrenData, lastNode)
{
var node = new Object();
node.children = Array();
node.childrenData = childrenData;
node.depth = po.depth + 1;
node.relpath = po.relpath;
node.isLast = lastNode;
node.li = document.createElement("li");
po.getChildrenUL().appendChild(node.li);
node.parentNode = po;
node.itemDiv = document.createElement("div");
node.itemDiv.className = "item";
node.labelSpan = document.createElement("span");
node.labelSpan.className = "label";
createIndent(o,node.itemDiv,node,0);
node.itemDiv.appendChild(node.labelSpan);
node.li.appendChild(node.itemDiv);
var a = document.createElement("a");
node.labelSpan.appendChild(a);
node.label = document.createTextNode(text);
node.expanded = false;
a.appendChild(node.label);
if (link) {
var url;
if (link.substring(0,1)=='^') {
url = link.substring(1);
link = url;
} else {
url = node.relpath+link;
}
a.className = stripPath(link.replace('#',':'));
if (link.indexOf('#')!=-1) {
var aname = '#'+link.split('#')[1];
var srcPage = stripPath(pathName());
var targetPage = stripPath(link.split('#')[0]);
a.href = srcPage!=targetPage ? url : "javascript:void(0)";
a.onclick = function(){
storeLink(link);
if (!$(a).parent().parent().hasClass('selected'))
{
$('.item').removeClass('selected');
$('.item').removeAttr('id');
$(a).parent().parent().addClass('selected');
$(a).parent().parent().attr('id','selected');
}
var anchor = $(aname);
gotoAnchor(anchor,aname,true);
};
} else {
a.href = url;
a.onclick = function() { storeLink(link); }
}
} else {
if (childrenData != null)
{
a.className = "nolink";
a.href = "javascript:void(0)";
a.onclick = node.expandToggle.onclick;
}
}
node.childrenUL = null;
node.getChildrenUL = function() {
if (!node.childrenUL) {
node.childrenUL = document.createElement("ul");
node.childrenUL.className = "children_ul";
node.childrenUL.style.display = "none";
node.li.appendChild(node.childrenUL);
}
return node.childrenUL;
};
return node;
}
function showRoot()
{
var headerHeight = $("#top").height();
var footerHeight = $("#nav-path").height();
var windowHeight = $(window).height() - headerHeight - footerHeight;
(function (){ // retry until we can scroll to the selected item
try {
var navtree=$('#nav-tree');
navtree.scrollTo('#selected',100,{offset:-windowHeight/2});
} catch (err) {
setTimeout(arguments.callee, 0);
}
})();
}
function expandNode(o, node, imm, showRoot)
{
if (node.childrenData && !node.expanded) {
if (typeof(node.childrenData)==='string') {
var varName = node.childrenData;
getScript(node.relpath+varName,function(){
node.childrenData = getData(varName);
expandNode(o, node, imm, showRoot);
}, showRoot);
} else {
if (!node.childrenVisited) {
getNode(o, node);
}
$(node.getChildrenUL()).slideDown("fast");
node.plus_img.innerHTML = arrowDown;
node.expanded = true;
}
}
}
function glowEffect(n,duration)
{
n.addClass('glow').delay(duration).queue(function(next){
$(this).removeClass('glow');next();
});
}
function highlightAnchor()
{
var aname = hashUrl();
var anchor = $(aname);
if (anchor.parent().attr('class')=='memItemLeft'){
var rows = $('.memberdecls tr[class$="'+hashValue()+'"]');
glowEffect(rows.children(),300); // member without details
} else if (anchor.parent().attr('class')=='fieldname'){
glowEffect(anchor.parent().parent(),1000); // enum value
} else if (anchor.parent().attr('class')=='fieldtype'){
glowEffect(anchor.parent().parent(),1000); // struct field
} else if (anchor.parent().is(":header")) {
glowEffect(anchor.parent(),1000); // section header
} else {
glowEffect(anchor.next(),1000); // normal member
}
}
function selectAndHighlight(hash,n)
{
var a;
if (hash) {
var link=stripPath(pathName())+':'+hash.substring(1);
a=$('.item a[class$="'+link+'"]');
}
if (a && a.length) {
a.parent().parent().addClass('selected');
a.parent().parent().attr('id','selected');
highlightAnchor();
} else if (n) {
$(n.itemDiv).addClass('selected');
$(n.itemDiv).attr('id','selected');
}
var topOffset=5;
if (typeof page_layout!=='undefined' && page_layout==1) {
topOffset+=$('#top').outerHeight();
}
if ($('#nav-tree-contents .item:first').hasClass('selected')) {
topOffset+=25;
}
$('#nav-sync').css('top',topOffset+'px');
showRoot();
}
function showNode(o, node, index, hash)
{
if (node && node.childrenData) {
if (typeof(node.childrenData)==='string') {
var varName = node.childrenData;
getScript(node.relpath+varName,function(){
node.childrenData = getData(varName);
showNode(o,node,index,hash);
},true);
} else {
if (!node.childrenVisited) {
getNode(o, node);
}
$(node.getChildrenUL()).css({'display':'block'});
node.plus_img.innerHTML = arrowDown;
node.expanded = true;
var n = node.children[o.breadcrumbs[index]];
if (index+1<o.breadcrumbs.length) {
showNode(o,n,index+1,hash);
} else {
if (typeof(n.childrenData)==='string') {
var varName = n.childrenData;
getScript(n.relpath+varName,function(){
n.childrenData = getData(varName);
node.expanded=false;
showNode(o,node,index,hash); // retry with child node expanded
},true);
} else {
var rootBase = stripPath(o.toroot.replace(/\..+$/, ''));
if (rootBase=="index" || rootBase=="pages" || rootBase=="search") {
expandNode(o, n, true, true);
}
selectAndHighlight(hash,n);
}
}
}
} else {
selectAndHighlight(hash);
}
}
function removeToInsertLater(element) {
var parentNode = element.parentNode;
var nextSibling = element.nextSibling;
parentNode.removeChild(element);
return function() {
if (nextSibling) {
parentNode.insertBefore(element, nextSibling);
} else {
parentNode.appendChild(element);
}
};
}
function getNode(o, po)
{
var insertFunction = removeToInsertLater(po.li);
po.childrenVisited = true;
var l = po.childrenData.length-1;
for (var i in po.childrenData) {
var nodeData = po.childrenData[i];
po.children[i] = newNode(o, po, nodeData[0], nodeData[1], nodeData[2],
i==l);
}
insertFunction();
}
function gotoNode(o,subIndex,root,hash,relpath)
{
var nti = navTreeSubIndices[subIndex][root+hash];
o.breadcrumbs = $.extend(true, [], nti ? nti : navTreeSubIndices[subIndex][root]);
if (!o.breadcrumbs && root!=NAVTREE[0][1]) { // fallback: show index
navTo(o,NAVTREE[0][1],"",relpath);
$('.item').removeClass('selected');
$('.item').removeAttr('id');
}
if (o.breadcrumbs) {
o.breadcrumbs.unshift(0); // add 0 for root node
showNode(o, o.node, 0, hash);
}
}
function navTo(o,root,hash,relpath)
{
var link = cachedLink();
if (link) {
var parts = link.split('#');
root = parts[0];
if (parts.length>1) hash = '#'+parts[1].replace(/[^\w\-]/g,'');
else hash='';
}
if (hash.match(/^#l\d+$/)) {
var anchor=$('a[name='+hash.substring(1)+']');
glowEffect(anchor.parent(),1000); // line number
hash=''; // strip line number anchors
}
var url=root+hash;
var i=-1;
while (NAVTREEINDEX[i+1]<=url) i++;
if (i==-1) { i=0; root=NAVTREE[0][1]; } // fallback: show index
if (navTreeSubIndices[i]) {
gotoNode(o,i,root,hash,relpath)
} else {
getScript(relpath+'navtreeindex'+i,function(){
navTreeSubIndices[i] = eval('NAVTREEINDEX'+i);
if (navTreeSubIndices[i]) {
gotoNode(o,i,root,hash,relpath);
}
},true);
}
}
function showSyncOff(n,relpath)
{
n.html('<img src="'+relpath+'sync_off.png" title="'+SYNCOFFMSG+'"/>');
}
function showSyncOn(n,relpath)
{
n.html('<img src="'+relpath+'sync_on.png" title="'+SYNCONMSG+'"/>');
}
function toggleSyncButton(relpath)
{
var navSync = $('#nav-sync');
if (navSync.hasClass('sync')) {
navSync.removeClass('sync');
showSyncOff(navSync,relpath);
storeLink(stripPath2(pathName())+hashUrl());
} else {
navSync.addClass('sync');
showSyncOn(navSync,relpath);
deleteLink();
}
}
var loadTriggered = false;
var readyTriggered = false;
var loadObject,loadToRoot,loadUrl,loadRelPath;
$(window).on('load',function(){
if (readyTriggered) { // ready first
navTo(loadObject,loadToRoot,loadUrl,loadRelPath);
showRoot();
}
loadTriggered=true;
});
function initNavTree(toroot,relpath)
{
var o = new Object();
o.toroot = toroot;
o.node = new Object();
o.node.li = document.getElementById("nav-tree-contents");
o.node.childrenData = NAVTREE;
o.node.children = new Array();
o.node.childrenUL = document.createElement("ul");
o.node.getChildrenUL = function() { return o.node.childrenUL; };
o.node.li.appendChild(o.node.childrenUL);
o.node.depth = 0;
o.node.relpath = relpath;
o.node.expanded = false;
o.node.isLast = true;
o.node.plus_img = document.createElement("span");
o.node.plus_img.className = 'arrow';
o.node.plus_img.innerHTML = arrowRight;
if (localStorageSupported()) {
var navSync = $('#nav-sync');
if (cachedLink()) {
showSyncOff(navSync,relpath);
navSync.removeClass('sync');
} else {
showSyncOn(navSync,relpath);
}
navSync.click(function(){ toggleSyncButton(relpath); });
}
if (loadTriggered) { // load before ready
navTo(o,toroot,hashUrl(),relpath);
showRoot();
} else { // ready before load
loadObject = o;
loadToRoot = toroot;
loadUrl = hashUrl();
loadRelPath = relpath;
readyTriggered=true;
}
$(window).bind('hashchange', function(){
if (window.location.hash && window.location.hash.length>1){
var a;
if ($(location).attr('hash')){
var clslink=stripPath(pathName())+':'+hashValue();
a=$('.item a[class$="'+clslink.replace(/</g,'\\3c ')+'"]');
}
if (a==null || !$(a).parent().parent().hasClass('selected')){
$('.item').removeClass('selected');
$('.item').removeAttr('id');
}
var link=stripPath2(pathName());
navTo(o,link,hashUrl(),relpath);
} else if (!animationInProgress) {
$('#doc-content').scrollTop(0);
$('.item').removeClass('selected');
$('.item').removeAttr('id');
navTo(o,toroot,hashUrl(),relpath);
}
})
}
/* @license-end */

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docs/navtreedata.js
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@ -1,70 +0,0 @@
/*
@licstart The following is the entire license notice for the JavaScript code in this file.
The MIT License (MIT)
Copyright (C) 1997-2020 by Dimitri van Heesch
Permission is hereby granted, free of charge, to any person obtaining a copy of this software
and associated documentation files (the "Software"), to deal in the Software without restriction,
including without limitation the rights to use, copy, modify, merge, publish, distribute,
sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all copies or
substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING
BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,
DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
@licend The above is the entire license notice for the JavaScript code in this file
*/
var NAVTREE =
[
[ "Simulating the Schrödinger wave equation using the Crank-Nicolson method in 2+1 dimensions", "index.html", [
[ "Requirements", "index.html#autotoc_md1", [
[ "Operating systems", "index.html#autotoc_md2", null ],
[ "Libraries", "index.html#autotoc_md3", null ]
] ],
[ "Compiling", "index.html#autotoc_md4", [
[ "Normal binaries", "index.html#autotoc_md5", null ],
[ "Debugging binaries", "index.html#autotoc_md6", null ]
] ],
[ "Running programs", "index.html#autotoc_md7", [
[ "C++ binaries", "index.html#autotoc_md8", null ],
[ "Python scripts", "index.html#autotoc_md9", [
[ "Install libraries", "index.html#autotoc_md10", null ],
[ "Running scripts", "index.html#autotoc_md11", null ]
] ]
] ],
[ "Credits", "index.html#autotoc_md12", null ],
[ "Bug List", "bug.html", null ],
[ "Classes", "annotated.html", [
[ "Class List", "annotated.html", "annotated_dup" ],
[ "Class Index", "classes.html", null ],
[ "Class Members", "functions.html", [
[ "All", "functions.html", null ],
[ "Functions", "functions_func.html", null ],
[ "Variables", "functions_vars.html", null ]
] ]
] ],
[ "Files", "files.html", [
[ "File List", "files.html", "files_dup" ],
[ "File Members", "globals.html", [
[ "All", "globals.html", null ],
[ "Macros", "globals_defs.html", null ]
] ]
] ]
] ]
];
var NAVTREEINDEX =
[
"WaveSimulation_8hpp.html"
];
var SYNCONMSG = 'click to disable panel synchronisation';
var SYNCOFFMSG = 'click to enable panel synchronisation';

78
docs/navtreeindex0.js
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@ -1,78 +0,0 @@
var NAVTREEINDEX0 =
{
"WaveSimulation_8hpp.html":[6,0,0,4],
"WaveSimulation_8hpp_source.html":[6,0,0,4],
"annotated.html":[5,0],
"bug.html":[4],
"classWaveSimulation.html":[5,0,0],
"classWaveSimulation.html#a02052a447cf7fb49001e231d3a856814":[5,0,0,19],
"classWaveSimulation.html#a07dbefef86c9ed894d526eea4b039be6":[5,0,0,14],
"classWaveSimulation.html#a09e997b44ad67b6e3497d77704cd47e7":[5,0,0,12],
"classWaveSimulation.html#a25100ad1ffbb0ba16e4928f0c2d58ae7":[5,0,0,3],
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