diff --git a/Normal/__pycache__/graph.cpython-311.pyc b/Normal/__pycache__/graph.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..b59c4400bf93d9e94ba27ea8950223aa6fb57a78
Binary files /dev/null and b/Normal/__pycache__/graph.cpython-311.pyc differ
diff --git a/Normal/graph.py b/Normal/graph.py
new file mode 100644
index 0000000000000000000000000000000000000000..fd363423b724f6c816199c884cd9a3ae7f58284a
--- /dev/null
+++ b/Normal/graph.py
@@ -0,0 +1,170 @@
+"""
+Module for graphing
+"""
+
+import matplotlib.pyplot as plt
+import numpy as np
+import seaborn as sns
+import scipy
+
+def hist_distributivity_graph(N, RESOLUTION, seed, data):
+ """
+ graphs histograms
+ see values function in main module
+ """
+ plt.clf()
+ for name in data:
+ print("building " + str(name) + " histogram...")
+ xlabel = "Value"
+ ylabel = "Count"
+
+ ## Fitted Normal for comparaison
+ mu, std = scipy.stats.norm.fit(data[name])
+ x_pdf = np.linspace(-7,7,1000)
+ y_pdf = scipy.stats.norm.pdf(x_pdf, mu, std)
+
+ title_name = name + "\n N = " + str(N) + "\n seed = " + str(seed)
+ if seed == 0:
+ title_name = name + "\n N = " + str(N)
+
+ graph = sns.displot(data[name], kde=True, bins=RESOLUTION
+ , stat="density")
+ graph.set(title=title_name)
+ graph.set_axis_labels(xlabel, ylabel)
+
+ plt.plot(x_pdf, y_pdf, c='r', label="Fitted normal distrib."
+ , linewidth=1, linestyle='dotted')
+ plt.legend(loc="lower right")
+
+ graph.savefig(name + "_hist.png", bbox_inches="tight", dpi=500)
+
+ return
+
+def kde_2distributivity_graph(N, RESOLUTION, seed, data, cov, name):
+ """
+ graphs histograms
+ see values function in main module
+ """
+ plt.clf()
+
+ title_name = name + "\n N = " + str(N) + "\n seed = " + str(seed)
+ if seed == 0:
+ title_name = name + "\n N = " + str(N)
+ title_name = title_name + "\n covariance = \n" + str(cov)
+ print("building " + str(name) + " 2D kdeplot...")
+
+ cmap = sns.cubehelix_palette(start=0, light=1, as_cmap=True)
+
+ x, y = data[0], data[1]
+ print("graphing with "+str(N)+" values...")
+ graph = sns.kdeplot(x=x, y=y, fill=True, levels=10, cmap=cmap)
+ graph.set(title=title_name)
+ print("saving picture...")
+ plt.savefig(name + "_2D.png", bbox_inches="tight", dpi=500)
+ return
+
+
+def ecdf_graph(N, RESOLUTION, seed, data):
+ """
+ graphs histograms
+ see values function in main module
+ """
+ plt.clf()
+ for name in data:
+ print("building " + str(name) + " ecdf...")
+ xlabel = "Value"
+ ylabel = "Cumulative Probability"
+ title_name = name + "\n N = " + str(N) + "\n seed = " + str(seed)
+ if N == 0:
+ title_name = name + "\n seed = " + str(seed)
+ graph = sns.displot(data[name], kind="ecdf")
+ graph.set(title=title_name)
+ graph.set_axis_labels(xlabel, ylabel)
+ graph.savefig(name + "_ecdf.png", bbox_inches="tight")
+ return
+
+
+def compare_ecdf(N, RESOLUTION, seed, data):
+ """
+ Create graphs superposing ecdf
+ """
+ plt.clf()
+ BW = 0.337
+ name = "compare_ecdf_"
+ for e in data:
+ name += e + "_"
+
+ # subdata = {k : data[k] for k in names}
+ print("graphing " + str(name) + "...")
+
+ xlabel = "Value"
+ ylabel = "Density"
+ title_name = "N = " + str(N) + "\n seed = " + str(seed)
+ if N == 0:
+ title_name = "seed = " + str(seed)
+ graph = sns.displot(data, legend=True, kind="ecdf")
+ graph.set(title=title_name)
+ plt.xlabel(xlabel)
+ plt.ylabel(ylabel)
+ # plt.legend()
+ plt.savefig(name + ".png", bbox_inches="tight")
+ return
+
+
+def compare(N, RESOLUTION, seed, data):
+ """
+ Create graphs superposing two, already generated,
+ distributivity
+ """
+ plt.clf()
+ BW = 0.337
+ name = "compare_"
+ for e in data:
+ name += e + "_"
+
+ # subdata = {k : data[k] for k in names}
+ print("graphing " + str(name) + "...")
+
+ xlabel = "Value"
+ ylabel = "Density"
+ title_name = "N = " + str(N) + "\n seed = " + str(seed)
+ if N == 0:
+ title_name = "seed = " + str(seed)
+ for e in data:
+ graph = sns.kdeplot(
+ data[e], legend=True, bw_adjust=BW, common_norm=False, label=str(e)
+ )
+ graph.set(title=title_name)
+ plt.xlabel(xlabel)
+ plt.ylabel(ylabel)
+ graph.axes.set
+ plt.legend()
+ plt.savefig(name + ".png", bbox_inches="tight")
+ return
+
+
+def lineplot_wrap(data, xlabel, ylabel, title, iterN):
+ plt.clf()
+ print("graphing " + str(title) + "...")
+ for e in data:
+ plt.plot(iterN, data[e], marker="o", label="seed=" + str(e))
+ # graph = sns.lineplot(data, legend=True, x=iterN)
+ plt.title(title)
+ plt.legend()
+ plt.xscale("log")
+ plt.xlabel(xlabel)
+ plt.ylabel(ylabel)
+ plt.savefig(title.replace(" ", "_") + ".png", bbox_inches="tight")
+
+
+def lineplot_mean_alot(data, xlabel, ylabel, title, iterN):
+ plt.clf()
+ print("graphing " + str(title) + "...")
+ for e in data:
+ plt.plot(iterN, data[e], marker="o", alpha=0.05, color="red")
+ plt.plot(iterN, [0.5] * len(iterN), color="blue", linestyle="dotted")
+ plt.title(title)
+ plt.xscale("log")
+ plt.xlabel(xlabel)
+ plt.ylabel(ylabel)
+ plt.savefig(title + ".png", bbox_inches="tight")
diff --git a/Normal/main.py b/Normal/main.py
new file mode 100644
index 0000000000000000000000000000000000000000..f5fe83b4e894ecdd3cef5f72d0e3232a423b7944
--- /dev/null
+++ b/Normal/main.py
@@ -0,0 +1,268 @@
+import graph
+from datetime import datetime
+import matplotlib.pyplot as plt
+import seaborn as sns
+import numpy as np
+import scipy
+import csv
+import random
+import multiprocessing
+
+# shut up stupid warnings from not "the-most-up-to-date" libraries
+import warnings
+
+warnings.simplefilter(action="ignore", category=FutureWarning)
+
+
+def values(N, seed):
+ """
+ Return number sets of
+ N values following MersenneTwister
+ (Random.random()) of python
+ """
+ print(
+ "creating "
+ + str(N)
+ + " random values with random.random() of seed "
+ + str(seed)
+ )
+ random.seed(seed)
+ return np.array([random.random() for i in range(N)])
+
+def Marsaglia_pair(N, seed):
+ """
+ Return a pair of two N random uniform values W1 W2
+ in [-1;1]
+ respecting :
+ for each x,y W1,W2
+ 0 <= x**x + y**y < 1
+ """
+ print(
+ "creating "
+ + str(N)
+ + " random pair values for Marsaglia with random.random() of seed "
+ + str(seed)
+ )
+ W0 = np.zeros(N)
+ W1 = np.zeros(N)
+ random.seed(seed)
+ i=0
+ while i < N:
+ w0 = 2*random.random() - 1
+ w1 = 2*random.random() - 1
+ while (w0**2 + w1**2 >= 1):
+ w0 = 2*random.random() - 1
+ w1 = 2*random.random() - 1
+
+ W0[i] = w0
+ W1[i] = w1
+ i+=1
+ return [W0, W1]
+
+def reject_val(N, seed, Inv, c, g, f):
+ """
+ Return N random values
+ following reject method on c*g(X)*rand < f(X)
+ """
+ print(
+ "creating "
+ + str(N)
+ + " random pair values with reject method with random.random() of seed "
+ + str(seed)
+ )
+ i=0
+ random.seed(seed)
+ res = np.zeros(N)
+ while i < N:
+ u = Inv(random.random())
+ while (c*g(u)*random.random() > f(u)):
+ u = Inv(random.random())
+ res[i] = u
+ i += 1
+ return res
+
+def append_values(N, seed, where):
+ where.append(values(N, seed))
+ return
+
+
+def more_values(N, seed, number):
+ with multiprocessing.Pool(number) as pool:
+ res = pool.starmap(values, [(N, seed + i) for i in range(number)])
+ pool.close()
+ pool.join()
+ # res.append(values(N, seed+i))
+ #print(res)
+ return np.array(res)
+
+
+def job_erfinv(uniform):
+ name="erfinv"
+ print("\033[32;1mSarting erfinv job\033[0m")
+ data_erfinv = NormCenterErfInv(uniform)
+ graph.hist_distributivity_graph(N, RESOLUTION
+ , seed, {"erfinv": data_erfinv})
+ do_stats_tests(data_erfinv, name)
+ return data_erfinv
+
+
+def job_CentralLimitTheo(uniforms):
+ name="CentralLimitTheorem"
+ print("\033[32;1mSarting Central Limit job\033[0m")
+ n = len(uniforms)
+ res = np.divide(np.sum(uniforms, axis=0) - (n * 0.5), np.sqrt(n / 12))
+ #print(res)
+ graph.hist_distributivity_graph(N, RESOLUTION, 0
+ , {"CentralLimitTheorem" + str(n): res})
+ do_stats_tests(res,name)
+ return
+
+def NormCenterErfInv(uniform):
+ return np.sqrt(2) * scipy.special.erfinv(2 * uniform - 1)
+
+def job_BoxMuller(uniforms):
+ name="BoxMuller"
+ print("\033[32;1mSarting BoxMuller job\033[0m")
+ if (len(uniforms) != 2):
+ raise ValueError("need two uniforms values exactly.")
+ U0 = uniforms[0]
+ U1 = uniforms[1]
+ Y0 = np.sqrt(-2*np.log(U0)) * np.cos(2*np.pi*U1)
+ Y1 = np.sqrt(-2*np.log(U1)) * np.cos(2*np.pi*U0)
+ graph.hist_distributivity_graph(N, RESOLUTION, 0
+ , {"BoxMuller1" : Y0})
+ graph.hist_distributivity_graph(N, RESOLUTION, 0
+ , {"BoxMuller2" : Y1})
+ do_stats_tests(Y0, name+"1")
+ do_stats_tests(Y1, name+"2")
+ return
+
+def job_Marsagalia():
+ name = "Marsaglia"
+ print("\033[32;1mSarting Marsaglia job\033[0m")
+ pair = Marsaglia_pair(N,seed)
+ W0 = pair[0]
+ W1 = pair[1]
+ squared = np.square(W1)+np.square(W0)
+ Y0 = np.sqrt(-2*np.log(squared)) * np.divide(W1,np.sqrt(squared))
+ Y1 = np.sqrt(-2*np.log(squared)) * np.divide(W0,np.sqrt(squared))
+ graph.hist_distributivity_graph(N, RESOLUTION, 0
+ , {"Marsaglia1" : Y0})
+ graph.hist_distributivity_graph(N, RESOLUTION, 0
+ , {"Marsaglia2" : Y1})
+
+ do_stats_tests(Y0, name+"1")
+ do_stats_tests(Y1, name+"2")
+ return
+
+def GINVcauchy(x):
+ return np.tan(np.pi*(x - (1/2)))
+
+def gcauchy(x):
+ return (1/np.pi) * (1/(1+np.square(x)))
+
+cCauchy = np.sqrt(2*np.pi / np.e)
+
+def job_rejectCauchy():
+ name = "rejectCauchy"
+ print("\033[32;1mStarting Cauchy reject job\033[0m")
+ number = 10
+ with multiprocessing.Pool(number) as pool:
+ res = pool.starmap(reject_val
+ ,[(int(N/10), seed+i, GINVcauchy, cCauchy, gcauchy
+ ,scipy.stats.norm.pdf) for i in range(number)])
+ pool.close()
+ pool.join()
+ fres = np.array(res).flatten()
+ graph.hist_distributivity_graph(N, RESOLUTION, 0
+ , {name : fres})
+ do_stats_tests(fres, name)
+
+def job_MultiDim(two_uniform):
+ name = "MultiDim"
+ print("\033[32;1mStarting "+str(name)+" job\033[0m")
+
+ cov = np.array([[1,0.5],[0.5,1]])
+ res = np.array([np.zeros(N),np.zeros(N)])
+ U0 = two_uniform[0]
+ U1 = two_uniform[1]
+ res[0] = NormCenterErfInv(U0)
+ res[1] = NormCenterErfInv(U1)
+
+ print(res)
+
+ evalues, evectors = np.linalg.eig(cov)
+ D = np.diag(np.flip(evalues))
+ U = np.transpose(evectors)
+ Uinv = np.linalg.inv(U)
+ X = np.matmul(U, np.matmul(D,res))
+
+ graph.kde_2distributivity_graph(N*2,RESOLUTION, 0, X, cov, name)
+ return
+
+def job_MultiDimBox(two_uniform):
+ name = "MultiDimE"
+ print("\033[32;1mStarting "+str(name)+" job\033[0m")
+
+ cov = np.array([[1,0],[0,1]])
+ res = np.array([np.zeros(N),np.zeros(N)])
+ U0 = two_uniform[0]
+ U1 = two_uniform[1]
+ res[0] = np.sqrt(-2*np.log(U0)) * np.cos(2*np.pi*U1)
+ res[1] = np.sqrt(-2*np.log(U1)) * np.cos(2*np.pi*U0)
+
+ print(scipy.stats.pearsonr(res[0],res[1]))
+
+ #res[0] = NormCenterErfInv(U0)
+ #res[1] = NormCenterErfInv(U1)
+
+ #print(scipy.stats.pearsonr(res[0],res[1]))
+ graph.kde_2distributivity_graph(N*2,RESOLUTION, 0, res, cov, name)
+ return
+
+def write_stats_fields(data, name, testname):
+ fields={"name" : name}
+ for k in data:
+ fields[k] = data[k]
+
+ #write file
+ with open('stats_'+str(testname)+'.csv', 'a', newline='') as csvfile:
+ datawriter = csv.DictWriter(csvfile, fieldnames=fields)
+ datawriter.writerow(fields)
+ return
+
+def do_stats_tests(normals, name):
+ shap = scipy.stats.shapiro(normals)
+ write_stats_fields({"W" : shap[0], "pvalue" : shap[1]}, name
+ , "shapiroWilk")
+ #Lilli = statsmodels.stats.diagnostic.lilliefors(normals)
+ #write_stats_fields({"Kolmogorov-Smirnov" : Lilli[0], "pvalue" : Lilli[1]}
+ # , name, "LillieFors")
+
+ ander = scipy.stats.anderson(normals)
+ write_stats_fields({"test" : ander[0]}, name, "AndersonDarling")
+ ago = scipy.stats.normaltest(normals)
+ write_stats_fields({"test" : ago[0], "pvalue" : ago[1]}, name, "Agostino")
+ return
+
+
+if __name__ == "__main__":
+ sns.set_theme(style="whitegrid", palette="rocket")
+ N = 100000 # 10**6 random values
+ Ns = 12
+ RESOLUTION = 25
+ seed = int(datetime.now().timestamp())
+ data = more_values(N, seed, Ns)
+ #PROCESSING################################################################
+# p = multiprocessing.Process(target=job_erfinv, args=[data[0]])
+# p.start()
+# p = multiprocessing.Process(target=job_CentralLimitTheo, args=[data])
+# p.start()
+# p = multiprocessing.Process(target=job_BoxMuller, args=[data[0:2]])
+# p.start()
+# p = multiprocessing.Process(target=job_Marsagalia, args=[])
+# p.start()
+# p = multiprocessing.Process(target=job_rejectCauchy, args=[])
+# p.start()
+ #multiprocessing.Process(target=job_MultiDim,args=[data[0:2]]).start()
+ multiprocessing.Process(target=job_MultiDimBox,args=[data[0:2]]).start()
diff --git a/Normal/rapport/.beginfig b/Normal/rapport/.beginfig
new file mode 100644
index 0000000000000000000000000000000000000000..010fe4f0d96d9a2a4ea36fa7840b59589a50d620
--- /dev/null
+++ b/Normal/rapport/.beginfig
@@ -0,0 +1,6 @@
+\begin{figure}
+ \centering
+ \includegraphics{}
+ \caption{Caption}
+ \label{fig:enter-label}
+\end{figure}
diff --git a/Normal/rapport/.local.vimrc b/Normal/rapport/.local.vimrc
new file mode 100644
index 0000000000000000000000000000000000000000..cb576522d4ce41091db9f014979c05eed79f53ab
--- /dev/null
+++ b/Normal/rapport/.local.vimrc
@@ -0,0 +1,7 @@
+":execute 'redraw!'
+"noremap <localleader>a :silent execute '!astyle --max-code-length=120 '..shellescape(expand('%'), 1)..' &>/dev/null && rm -f '..shellescape(expand('%'),1)..'.orig'<CR> :execute 'redraw!'<CR>
+"set autoread
+noremap <localleader>c :write<CR>:VimtexCompileSS<CR>
+"noremap <localleader>r :execute 'redraw!'<CR>
+noremap <localleader>f :-1r .beginfig<CR>
+
diff --git a/Normal/rapport/_minted-rendu/32271E14F712B896CCEAC59F23F430A188E0AE53A032AA7058941BFB586FC439.pygtex b/Normal/rapport/_minted-rendu/32271E14F712B896CCEAC59F23F430A188E0AE53A032AA7058941BFB586FC439.pygtex
new file mode 100644
index 0000000000000000000000000000000000000000..08acd561abc7e68c82eaddb61f81f8477ec3bf9c
--- /dev/null
+++ b/Normal/rapport/_minted-rendu/32271E14F712B896CCEAC59F23F430A188E0AE53A032AA7058941BFB586FC439.pygtex
@@ -0,0 +1,31 @@
+\begin{Verbatim}[commandchars=\\\{\}]
+\PYG{k}{def} \PYG{n+nf}{Marsaglia\PYGZus{}pair}\PYG{p}{(}\PYG{n}{N}\PYG{p}{,} \PYG{n}{seed}\PYG{p}{):}
+\PYG{+w}{ }\PYG{l+s+sd}{\PYGZdq{}\PYGZdq{}\PYGZdq{}}
+\PYG{l+s+sd}{ Return a pair of two N random uniform values W1 W2}
+\PYG{l+s+sd}{ in [\PYGZhy{}1;1]}
+\PYG{l+s+sd}{ respecting :}
+\PYG{l+s+sd}{ for each x,y W1,W2}
+\PYG{l+s+sd}{ 0 \PYGZlt{}= x**x + y**y \PYGZlt{} 1}
+\PYG{l+s+sd}{ \PYGZdq{}\PYGZdq{}\PYGZdq{}}
+ \PYG{n+nb}{print}\PYG{p}{(}
+ \PYG{l+s+s2}{\PYGZdq{}creating \PYGZdq{}}
+ \PYG{o}{+} \PYG{n+nb}{str}\PYG{p}{(}\PYG{n}{N}\PYG{p}{)}
+ \PYG{o}{+} \PYG{l+s+s2}{\PYGZdq{} random pair values for Marsaglia with random.random() of seed \PYGZdq{}}
+ \PYG{o}{+} \PYG{n+nb}{str}\PYG{p}{(}\PYG{n}{seed}\PYG{p}{)}
+ \PYG{p}{)}
+ \PYG{n}{W0} \PYG{o}{=} \PYG{n}{np}\PYG{o}{.}\PYG{n}{zeros}\PYG{p}{(}\PYG{n}{N}\PYG{p}{)}
+ \PYG{n}{W1} \PYG{o}{=} \PYG{n}{np}\PYG{o}{.}\PYG{n}{zeros}\PYG{p}{(}\PYG{n}{N}\PYG{p}{)}
+ \PYG{n}{random}\PYG{o}{.}\PYG{n}{seed}\PYG{p}{(}\PYG{n}{seed}\PYG{p}{)}
+ \PYG{n}{i}\PYG{o}{=}\PYG{l+m+mi}{0}
+ \PYG{k}{while} \PYG{n}{i} \PYG{o}{\PYGZlt{}} \PYG{n}{N}\PYG{p}{:}
+ \PYG{n}{w0} \PYG{o}{=} \PYG{l+m+mi}{2}\PYG{o}{*}\PYG{n}{random}\PYG{o}{.}\PYG{n}{random}\PYG{p}{()} \PYG{o}{\PYGZhy{}} \PYG{l+m+mi}{1}
+ \PYG{n}{w1} \PYG{o}{=} \PYG{l+m+mi}{2}\PYG{o}{*}\PYG{n}{random}\PYG{o}{.}\PYG{n}{random}\PYG{p}{()} \PYG{o}{\PYGZhy{}} \PYG{l+m+mi}{1}
+ \PYG{k}{while} \PYG{p}{(}\PYG{n}{w0}\PYG{o}{**}\PYG{l+m+mi}{2} \PYG{o}{+} \PYG{n}{w1}\PYG{o}{**}\PYG{l+m+mi}{2} \PYG{o}{\PYGZgt{}=} \PYG{l+m+mi}{1}\PYG{p}{):}
+ \PYG{n}{w0} \PYG{o}{=} \PYG{l+m+mi}{2}\PYG{o}{*}\PYG{n}{random}\PYG{o}{.}\PYG{n}{random}\PYG{p}{()} \PYG{o}{\PYGZhy{}} \PYG{l+m+mi}{1}
+ \PYG{n}{w1} \PYG{o}{=} \PYG{l+m+mi}{2}\PYG{o}{*}\PYG{n}{random}\PYG{o}{.}\PYG{n}{random}\PYG{p}{()} \PYG{o}{\PYGZhy{}} \PYG{l+m+mi}{1}
+
+ \PYG{n}{W0}\PYG{p}{[}\PYG{n}{i}\PYG{p}{]} \PYG{o}{=} \PYG{n}{w0}
+ \PYG{n}{W1}\PYG{p}{[}\PYG{n}{i}\PYG{p}{]} \PYG{o}{=} \PYG{n}{w1}
+ \PYG{n}{i}\PYG{o}{+=}\PYG{l+m+mi}{1}
+ \PYG{k}{return} \PYG{p}{[}\PYG{n}{W0}\PYG{p}{,} \PYG{n}{W1}\PYG{p}{]}
+\end{Verbatim}
diff --git a/Normal/rapport/_minted-rendu/41C42E800AE2A5B4D965441A57E1DDF288E0AE53A032AA7058941BFB586FC439.pygtex b/Normal/rapport/_minted-rendu/41C42E800AE2A5B4D965441A57E1DDF288E0AE53A032AA7058941BFB586FC439.pygtex
new file mode 100644
index 0000000000000000000000000000000000000000..36d9d260f94160bd1d5e969ed9e5a96a74a1b784
--- /dev/null
+++ b/Normal/rapport/_minted-rendu/41C42E800AE2A5B4D965441A57E1DDF288E0AE53A032AA7058941BFB586FC439.pygtex
@@ -0,0 +1,15 @@
+\begin{Verbatim}[commandchars=\\\{\}]
+\PYG{k}{if} \PYG{n+nv+vm}{\PYGZus{}\PYGZus{}name\PYGZus{}\PYGZus{}} \PYG{o}{==} \PYG{l+s+s2}{\PYGZdq{}\PYGZus{}\PYGZus{}main\PYGZus{}\PYGZus{}\PYGZdq{}}\PYG{p}{:}
+ \PYG{n}{sns}\PYG{o}{.}\PYG{n}{set\PYGZus{}theme}\PYG{p}{(}\PYG{n}{style}\PYG{o}{=}\PYG{l+s+s2}{\PYGZdq{}whitegrid\PYGZdq{}}\PYG{p}{,} \PYG{n}{palette}\PYG{o}{=}\PYG{l+s+s2}{\PYGZdq{}rocket\PYGZdq{}}\PYG{p}{)}
+ \PYG{n}{N} \PYG{o}{=} \PYG{l+m+mi}{1000000} \PYG{c+c1}{\PYGZsh{} 10**6 random values}
+ \PYG{n}{Ns} \PYG{o}{=} \PYG{l+m+mi}{12}
+ \PYG{n}{RESOLUTION} \PYG{o}{=} \PYG{l+m+mi}{25}
+ \PYG{n}{seed} \PYG{o}{=} \PYG{n+nb}{int}\PYG{p}{(}\PYG{n}{datetime}\PYG{o}{.}\PYG{n}{now}\PYG{p}{()}\PYG{o}{.}\PYG{n}{timestamp}\PYG{p}{())}
+ \PYG{n}{data} \PYG{o}{=} \PYG{n}{more\PYGZus{}values}\PYG{p}{(}\PYG{n}{N}\PYG{p}{,} \PYG{n}{seed}\PYG{p}{,} \PYG{n}{Ns}\PYG{p}{)}
+ \PYG{c+c1}{\PYGZsh{}PROCESSING\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}\PYGZsh{}}
+ \PYG{n}{multiprocessing}\PYG{o}{.}\PYG{n}{Process}\PYG{p}{(}\PYG{n}{target}\PYG{o}{=}\PYG{n}{job\PYGZus{}erfinv}\PYG{p}{,} \PYG{n}{args}\PYG{o}{=}\PYG{p}{[}\PYG{n}{data}\PYG{p}{[}\PYG{l+m+mi}{0}\PYG{p}{]])}\PYG{o}{.}\PYG{n}{start}\PYG{p}{()}
+ \PYG{n}{multiprocessing}\PYG{o}{.}\PYG{n}{Process}\PYG{p}{(}\PYG{n}{target}\PYG{o}{=}\PYG{n}{job\PYGZus{}CentralLimitTheo}\PYG{p}{,} \PYG{n}{args}\PYG{o}{=}\PYG{p}{[}\PYG{n}{data}\PYG{p}{])}\PYG{o}{.}\PYG{n}{start}\PYG{p}{()}
+ \PYG{n}{multiprocessing}\PYG{o}{.}\PYG{n}{Process}\PYG{p}{(}\PYG{n}{target}\PYG{o}{=}\PYG{n}{job\PYGZus{}BoxMuller}\PYG{p}{,} \PYG{n}{args}\PYG{o}{=}\PYG{p}{[}\PYG{n}{data}\PYG{p}{[}\PYG{l+m+mi}{0}\PYG{p}{:}\PYG{l+m+mi}{2}\PYG{p}{]])}\PYG{o}{.}\PYG{n}{start}\PYG{p}{()}
+ \PYG{n}{multiprocessing}\PYG{o}{.}\PYG{n}{Process}\PYG{p}{(}\PYG{n}{target}\PYG{o}{=}\PYG{n}{job\PYGZus{}Marsagalia}\PYG{p}{,} \PYG{n}{args}\PYG{o}{=}\PYG{p}{[])}\PYG{o}{.}\PYG{n}{start}\PYG{p}{()}
+ \PYG{n}{multiprocessing}\PYG{o}{.}\PYG{n}{Process}\PYG{p}{(}\PYG{n}{target}\PYG{o}{=}\PYG{n}{job\PYGZus{}rejectCauchy}\PYG{p}{,} \PYG{n}{args}\PYG{o}{=}\PYG{p}{[])}\PYG{o}{.}\PYG{n}{start}\PYG{p}{()}
+\end{Verbatim}
diff --git a/Normal/rapport/_minted-rendu/4C392E11CCD31BC5D448EE61F6F45D2C88E0AE53A032AA7058941BFB586FC439.pygtex b/Normal/rapport/_minted-rendu/4C392E11CCD31BC5D448EE61F6F45D2C88E0AE53A032AA7058941BFB586FC439.pygtex
new file mode 100644
index 0000000000000000000000000000000000000000..b8e230b143b44a70f47c887673afd3ea216066a0
--- /dev/null
+++ b/Normal/rapport/_minted-rendu/4C392E11CCD31BC5D448EE61F6F45D2C88E0AE53A032AA7058941BFB586FC439.pygtex
@@ -0,0 +1,18 @@
+\begin{Verbatim}[commandchars=\\\{\}]
+\PYG{k}{def} \PYG{n+nf}{job\PYGZus{}BoxMuller}\PYG{p}{(}\PYG{n}{uniforms}\PYG{p}{):}
+ \PYG{n}{name}\PYG{o}{=}\PYG{l+s+s2}{\PYGZdq{}BoxMuller\PYGZdq{}}
+ \PYG{n+nb}{print}\PYG{p}{(}\PYG{l+s+s2}{\PYGZdq{}}\PYG{l+s+se}{\PYGZbs{}033}\PYG{l+s+s2}{[32;1mSarting BoxMuller job}\PYG{l+s+se}{\PYGZbs{}033}\PYG{l+s+s2}{[0m\PYGZdq{}}\PYG{p}{)}
+ \PYG{k}{if} \PYG{p}{(}\PYG{n+nb}{len}\PYG{p}{(}\PYG{n}{uniforms}\PYG{p}{)} \PYG{o}{!=} \PYG{l+m+mi}{2}\PYG{p}{):}
+ \PYG{k}{raise} \PYG{n+ne}{ValueError}\PYG{p}{(}\PYG{l+s+s2}{\PYGZdq{}need two uniforms values exactly.\PYGZdq{}}\PYG{p}{)}
+ \PYG{n}{U0} \PYG{o}{=} \PYG{n}{uniforms}\PYG{p}{[}\PYG{l+m+mi}{0}\PYG{p}{]}
+ \PYG{n}{U1} \PYG{o}{=} \PYG{n}{uniforms}\PYG{p}{[}\PYG{l+m+mi}{1}\PYG{p}{]}
+ \PYG{n}{Y0} \PYG{o}{=} \PYG{n}{np}\PYG{o}{.}\PYG{n}{sqrt}\PYG{p}{(}\PYG{o}{\PYGZhy{}}\PYG{l+m+mi}{2}\PYG{o}{*}\PYG{n}{np}\PYG{o}{.}\PYG{n}{log}\PYG{p}{(}\PYG{n}{U0}\PYG{p}{))} \PYG{o}{*} \PYG{n}{np}\PYG{o}{.}\PYG{n}{cos}\PYG{p}{(}\PYG{l+m+mi}{2}\PYG{o}{*}\PYG{n}{np}\PYG{o}{.}\PYG{n}{pi}\PYG{o}{*}\PYG{n}{U1}\PYG{p}{)}
+ \PYG{n}{Y1} \PYG{o}{=} \PYG{n}{np}\PYG{o}{.}\PYG{n}{sqrt}\PYG{p}{(}\PYG{o}{\PYGZhy{}}\PYG{l+m+mi}{2}\PYG{o}{*}\PYG{n}{np}\PYG{o}{.}\PYG{n}{log}\PYG{p}{(}\PYG{n}{U1}\PYG{p}{))} \PYG{o}{*} \PYG{n}{np}\PYG{o}{.}\PYG{n}{cos}\PYG{p}{(}\PYG{l+m+mi}{2}\PYG{o}{*}\PYG{n}{np}\PYG{o}{.}\PYG{n}{pi}\PYG{o}{*}\PYG{n}{U0}\PYG{p}{)}
+ \PYG{n}{graph}\PYG{o}{.}\PYG{n}{hist\PYGZus{}distributivity\PYGZus{}graph}\PYG{p}{(}\PYG{n}{N}\PYG{p}{,} \PYG{n}{RESOLUTION}\PYG{p}{,} \PYG{l+m+mi}{0}
+ \PYG{p}{,} \PYG{p}{\PYGZob{}}\PYG{l+s+s2}{\PYGZdq{}BoxMuller1\PYGZdq{}} \PYG{p}{:} \PYG{n}{Y0}\PYG{p}{\PYGZcb{})}
+ \PYG{n}{graph}\PYG{o}{.}\PYG{n}{hist\PYGZus{}distributivity\PYGZus{}graph}\PYG{p}{(}\PYG{n}{N}\PYG{p}{,} \PYG{n}{RESOLUTION}\PYG{p}{,} \PYG{l+m+mi}{0}
+ \PYG{p}{,} \PYG{p}{\PYGZob{}}\PYG{l+s+s2}{\PYGZdq{}BoxMuller2\PYGZdq{}} \PYG{p}{:} \PYG{n}{Y1}\PYG{p}{\PYGZcb{})}
+ \PYG{n}{do\PYGZus{}stats\PYGZus{}tests}\PYG{p}{(}\PYG{n}{Y0}\PYG{p}{,} \PYG{n}{name}\PYG{o}{+}\PYG{l+s+s2}{\PYGZdq{}1\PYGZdq{}}\PYG{p}{)}
+ \PYG{n}{do\PYGZus{}stats\PYGZus{}tests}\PYG{p}{(}\PYG{n}{Y1}\PYG{p}{,} \PYG{n}{name}\PYG{o}{+}\PYG{l+s+s2}{\PYGZdq{}2\PYGZdq{}}\PYG{p}{)}
+ \PYG{k}{return}
+\end{Verbatim}
diff --git a/Normal/rapport/_minted-rendu/9777782FBB11E3EE8A2E511CD24E289688E0AE53A032AA7058941BFB586FC439.pygtex b/Normal/rapport/_minted-rendu/9777782FBB11E3EE8A2E511CD24E289688E0AE53A032AA7058941BFB586FC439.pygtex
new file mode 100644
index 0000000000000000000000000000000000000000..31cfbbd49d7f3a48e28a3c849d270fa6015bfba0
--- /dev/null
+++ b/Normal/rapport/_minted-rendu/9777782FBB11E3EE8A2E511CD24E289688E0AE53A032AA7058941BFB586FC439.pygtex
@@ -0,0 +1,23 @@
+\begin{Verbatim}[commandchars=\\\{\}]
+\PYG{k}{def} \PYG{n+nf}{reject\PYGZus{}val}\PYG{p}{(}\PYG{n}{N}\PYG{p}{,} \PYG{n}{seed}\PYG{p}{,} \PYG{n}{Inv}\PYG{p}{,} \PYG{n}{c}\PYG{p}{,} \PYG{n}{g}\PYG{p}{,} \PYG{n}{f}\PYG{p}{):}
+\PYG{+w}{ }\PYG{l+s+sd}{\PYGZdq{}\PYGZdq{}\PYGZdq{}}
+\PYG{l+s+sd}{ Return N random values}
+\PYG{l+s+sd}{ following reject method on c*g(X)*rand \PYGZlt{} f(X)}
+\PYG{l+s+sd}{ \PYGZdq{}\PYGZdq{}\PYGZdq{}}
+ \PYG{n+nb}{print}\PYG{p}{(}
+ \PYG{l+s+s2}{\PYGZdq{}creating \PYGZdq{}}
+ \PYG{o}{+} \PYG{n+nb}{str}\PYG{p}{(}\PYG{n}{N}\PYG{p}{)}
+ \PYG{o}{+} \PYG{l+s+s2}{\PYGZdq{} random pair values with reject method with random.random() of seed \PYGZdq{}}
+ \PYG{o}{+} \PYG{n+nb}{str}\PYG{p}{(}\PYG{n}{seed}\PYG{p}{)}
+ \PYG{p}{)}
+ \PYG{n}{i}\PYG{o}{=}\PYG{l+m+mi}{0}
+ \PYG{n}{random}\PYG{o}{.}\PYG{n}{seed}\PYG{p}{(}\PYG{n}{seed}\PYG{p}{)}
+ \PYG{n}{res} \PYG{o}{=} \PYG{n}{np}\PYG{o}{.}\PYG{n}{zeros}\PYG{p}{(}\PYG{n}{N}\PYG{p}{)}
+ \PYG{k}{while} \PYG{n}{i} \PYG{o}{\PYGZlt{}} \PYG{n}{N}\PYG{p}{:}
+ \PYG{n}{u} \PYG{o}{=} \PYG{n}{Inv}\PYG{p}{(}\PYG{n}{random}\PYG{o}{.}\PYG{n}{random}\PYG{p}{())}
+ \PYG{k}{while} \PYG{p}{(}\PYG{n}{c}\PYG{o}{*}\PYG{n}{g}\PYG{p}{(}\PYG{n}{u}\PYG{p}{)}\PYG{o}{*}\PYG{n}{random}\PYG{o}{.}\PYG{n}{random}\PYG{p}{()} \PYG{o}{\PYGZgt{}} \PYG{n}{f}\PYG{p}{(}\PYG{n}{u}\PYG{p}{)):}
+ \PYG{n}{u} \PYG{o}{=} \PYG{n}{Inv}\PYG{p}{(}\PYG{n}{random}\PYG{o}{.}\PYG{n}{random}\PYG{p}{())}
+ \PYG{n}{res}\PYG{p}{[}\PYG{n}{i}\PYG{p}{]} \PYG{o}{=} \PYG{n}{u}
+ \PYG{n}{i} \PYG{o}{+=} \PYG{l+m+mi}{1}
+ \PYG{k}{return} \PYG{n}{res}
+\end{Verbatim}
diff --git a/Normal/rapport/_minted-rendu/D54E6ACA77CCAC8B784A9D66B7EA54B688E0AE53A032AA7058941BFB586FC439.pygtex b/Normal/rapport/_minted-rendu/D54E6ACA77CCAC8B784A9D66B7EA54B688E0AE53A032AA7058941BFB586FC439.pygtex
new file mode 100644
index 0000000000000000000000000000000000000000..8b48f2104a2abdb10de948dcca222be19e542537
--- /dev/null
+++ b/Normal/rapport/_minted-rendu/D54E6ACA77CCAC8B784A9D66B7EA54B688E0AE53A032AA7058941BFB586FC439.pygtex
@@ -0,0 +1,17 @@
+\begin{Verbatim}[commandchars=\\\{\}]
+\PYG{k}{def} \PYG{n+nf}{job\PYGZus{}rejectCauchy}\PYG{p}{():}
+ \PYG{n}{name} \PYG{o}{=} \PYG{l+s+s2}{\PYGZdq{}rejectCauchy\PYGZdq{}}
+ \PYG{n+nb}{print}\PYG{p}{(}\PYG{l+s+s2}{\PYGZdq{}}\PYG{l+s+se}{\PYGZbs{}033}\PYG{l+s+s2}{[32;1mStarting Cauchy reject job}\PYG{l+s+se}{\PYGZbs{}033}\PYG{l+s+s2}{[0m\PYGZdq{}}\PYG{p}{)}
+ \PYG{n}{number} \PYG{o}{=} \PYG{l+m+mi}{10}
+ \PYG{k}{with} \PYG{n}{multiprocessing}\PYG{o}{.}\PYG{n}{Pool}\PYG{p}{(}\PYG{n}{number}\PYG{p}{)} \PYG{k}{as} \PYG{n}{pool}\PYG{p}{:}
+ \PYG{n}{res} \PYG{o}{=} \PYG{n}{pool}\PYG{o}{.}\PYG{n}{starmap}\PYG{p}{(}\PYG{n}{reject\PYGZus{}val}
+ \PYG{p}{,[(}\PYG{n+nb}{int}\PYG{p}{(}\PYG{n}{N}\PYG{o}{/}\PYG{l+m+mi}{10}\PYG{p}{),} \PYG{n}{seed}\PYG{o}{+}\PYG{n}{i}\PYG{p}{,} \PYG{n}{GINVcauchy}\PYG{p}{,} \PYG{n}{cCauchy}\PYG{p}{,} \PYG{n}{gcauchy}
+ \PYG{p}{,}\PYG{n}{scipy}\PYG{o}{.}\PYG{n}{stats}\PYG{o}{.}\PYG{n}{norm}\PYG{o}{.}\PYG{n}{pdf}\PYG{p}{)} \PYG{k}{for} \PYG{n}{i} \PYG{o+ow}{in} \PYG{n+nb}{range}\PYG{p}{(}\PYG{n}{number}\PYG{p}{)])}
+ \PYG{n}{pool}\PYG{o}{.}\PYG{n}{close}\PYG{p}{()}
+ \PYG{n}{pool}\PYG{o}{.}\PYG{n}{join}\PYG{p}{()}
+ \PYG{n}{fres} \PYG{o}{=} \PYG{n}{np}\PYG{o}{.}\PYG{n}{array}\PYG{p}{(}\PYG{n}{res}\PYG{p}{)}\PYG{o}{.}\PYG{n}{flatten}\PYG{p}{()}
+ \PYG{n}{graph}\PYG{o}{.}\PYG{n}{hist\PYGZus{}distributivity\PYGZus{}graph}\PYG{p}{(}\PYG{n}{N}\PYG{p}{,} \PYG{n}{RESOLUTION}\PYG{p}{,} \PYG{l+m+mi}{0}
+ \PYG{p}{,} \PYG{p}{\PYGZob{}}\PYG{n}{name} \PYG{p}{:} \PYG{n}{fres}\PYG{p}{\PYGZcb{})}
+ \PYG{n}{do\PYGZus{}stats\PYGZus{}tests}\PYG{p}{(}\PYG{n}{fres}\PYG{p}{,} \PYG{n}{name}\PYG{p}{)}
+\PYG{o}{\PYGZca{}\PYGZca{}}\PYG{n}{I}\PYG{o}{\PYGZca{}\PYGZca{}}\PYG{n}{Ireturn}
+\end{Verbatim}
diff --git a/Normal/rapport/_minted-rendu/manni.pygstyle b/Normal/rapport/_minted-rendu/manni.pygstyle
new file mode 100644
index 0000000000000000000000000000000000000000..791aa98aa263df000934d7665b8653fcb98a85ec
--- /dev/null
+++ b/Normal/rapport/_minted-rendu/manni.pygstyle
@@ -0,0 +1,101 @@
+
+\makeatletter
+\def\PYG@reset{\let\PYG@it=\relax \let\PYG@bf=\relax%
+ \let\PYG@ul=\relax \let\PYG@tc=\relax%
+ \let\PYG@bc=\relax \let\PYG@ff=\relax}
+\def\PYG@tok#1{\csname PYG@tok@#1\endcsname}
+\def\PYG@toks#1+{\ifx\relax#1\empty\else%
+ \PYG@tok{#1}\expandafter\PYG@toks\fi}
+\def\PYG@do#1{\PYG@bc{\PYG@tc{\PYG@ul{%
+ \PYG@it{\PYG@bf{\PYG@ff{#1}}}}}}}
+\def\PYG#1#2{\PYG@reset\PYG@toks#1+\relax+\PYG@do{#2}}
+
+\@namedef{PYG@tok@w}{\def\PYG@tc##1{\textcolor[rgb]{0.73,0.73,0.73}{##1}}}
+\@namedef{PYG@tok@c}{\let\PYG@it=\textit\def\PYG@tc##1{\textcolor[rgb]{0.00,0.60,1.00}{##1}}}
+\@namedef{PYG@tok@cp}{\def\PYG@tc##1{\textcolor[rgb]{0.00,0.60,0.60}{##1}}}
+\@namedef{PYG@tok@cs}{\let\PYG@bf=\textbf\let\PYG@it=\textit\def\PYG@tc##1{\textcolor[rgb]{0.00,0.60,1.00}{##1}}}
+\@namedef{PYG@tok@k}{\let\PYG@bf=\textbf\def\PYG@tc##1{\textcolor[rgb]{0.00,0.40,0.60}{##1}}}
+\@namedef{PYG@tok@kp}{\def\PYG@tc##1{\textcolor[rgb]{0.00,0.40,0.60}{##1}}}
+\@namedef{PYG@tok@kt}{\let\PYG@bf=\textbf\def\PYG@tc##1{\textcolor[rgb]{0.00,0.47,0.53}{##1}}}
+\@namedef{PYG@tok@o}{\def\PYG@tc##1{\textcolor[rgb]{0.33,0.33,0.33}{##1}}}
+\@namedef{PYG@tok@ow}{\let\PYG@bf=\textbf\def\PYG@tc##1{\textcolor[rgb]{0.00,0.00,0.00}{##1}}}
+\@namedef{PYG@tok@nb}{\def\PYG@tc##1{\textcolor[rgb]{0.20,0.40,0.40}{##1}}}
+\@namedef{PYG@tok@nf}{\def\PYG@tc##1{\textcolor[rgb]{0.80,0.00,1.00}{##1}}}
+\@namedef{PYG@tok@nc}{\let\PYG@bf=\textbf\def\PYG@tc##1{\textcolor[rgb]{0.00,0.67,0.53}{##1}}}
+\@namedef{PYG@tok@nn}{\let\PYG@bf=\textbf\def\PYG@tc##1{\textcolor[rgb]{0.00,0.80,1.00}{##1}}}
+\@namedef{PYG@tok@ne}{\let\PYG@bf=\textbf\def\PYG@tc##1{\textcolor[rgb]{0.80,0.00,0.00}{##1}}}
+\@namedef{PYG@tok@nv}{\def\PYG@tc##1{\textcolor[rgb]{0.00,0.20,0.20}{##1}}}
+\@namedef{PYG@tok@no}{\def\PYG@tc##1{\textcolor[rgb]{0.20,0.40,0.00}{##1}}}
+\@namedef{PYG@tok@nl}{\def\PYG@tc##1{\textcolor[rgb]{0.60,0.60,1.00}{##1}}}
+\@namedef{PYG@tok@ni}{\let\PYG@bf=\textbf\def\PYG@tc##1{\textcolor[rgb]{0.60,0.60,0.60}{##1}}}
+\@namedef{PYG@tok@na}{\def\PYG@tc##1{\textcolor[rgb]{0.20,0.00,0.60}{##1}}}
+\@namedef{PYG@tok@nt}{\let\PYG@bf=\textbf\def\PYG@tc##1{\textcolor[rgb]{0.20,0.00,0.60}{##1}}}
+\@namedef{PYG@tok@nd}{\def\PYG@tc##1{\textcolor[rgb]{0.60,0.60,1.00}{##1}}}
+\@namedef{PYG@tok@s}{\def\PYG@tc##1{\textcolor[rgb]{0.80,0.20,0.00}{##1}}}
+\@namedef{PYG@tok@sd}{\let\PYG@it=\textit\def\PYG@tc##1{\textcolor[rgb]{0.80,0.20,0.00}{##1}}}
+\@namedef{PYG@tok@si}{\def\PYG@tc##1{\textcolor[rgb]{0.67,0.00,0.00}{##1}}}
+\@namedef{PYG@tok@se}{\let\PYG@bf=\textbf\def\PYG@tc##1{\textcolor[rgb]{0.80,0.20,0.00}{##1}}}
+\@namedef{PYG@tok@sr}{\def\PYG@tc##1{\textcolor[rgb]{0.20,0.67,0.67}{##1}}}
+\@namedef{PYG@tok@ss}{\def\PYG@tc##1{\textcolor[rgb]{1.00,0.80,0.20}{##1}}}
+\@namedef{PYG@tok@sx}{\def\PYG@tc##1{\textcolor[rgb]{0.80,0.20,0.00}{##1}}}
+\@namedef{PYG@tok@m}{\def\PYG@tc##1{\textcolor[rgb]{1.00,0.40,0.00}{##1}}}
+\@namedef{PYG@tok@gh}{\let\PYG@bf=\textbf\def\PYG@tc##1{\textcolor[rgb]{0.00,0.20,0.00}{##1}}}
+\@namedef{PYG@tok@gu}{\let\PYG@bf=\textbf\def\PYG@tc##1{\textcolor[rgb]{0.00,0.20,0.00}{##1}}}
+\@namedef{PYG@tok@gd}{\def\PYG@bc##1{{\setlength{\fboxsep}{\string -\fboxrule}\fcolorbox[rgb]{0.80,0.00,0.00}{1.00,0.80,0.80}{\strut ##1}}}}
+\@namedef{PYG@tok@gi}{\def\PYG@bc##1{{\setlength{\fboxsep}{\string -\fboxrule}\fcolorbox[rgb]{0.00,0.80,0.00}{0.80,1.00,0.80}{\strut ##1}}}}
+\@namedef{PYG@tok@gr}{\def\PYG@tc##1{\textcolor[rgb]{1.00,0.00,0.00}{##1}}}
+\@namedef{PYG@tok@ge}{\let\PYG@it=\textit}
+\@namedef{PYG@tok@gs}{\let\PYG@bf=\textbf}
+\@namedef{PYG@tok@gp}{\let\PYG@bf=\textbf\def\PYG@tc##1{\textcolor[rgb]{0.00,0.00,0.60}{##1}}}
+\@namedef{PYG@tok@go}{\def\PYG@tc##1{\textcolor[rgb]{0.67,0.67,0.67}{##1}}}
+\@namedef{PYG@tok@gt}{\def\PYG@tc##1{\textcolor[rgb]{0.60,0.80,0.40}{##1}}}
+\@namedef{PYG@tok@err}{\def\PYG@tc##1{\textcolor[rgb]{0.67,0.00,0.00}{##1}}\def\PYG@bc##1{{\setlength{\fboxsep}{0pt}\colorbox[rgb]{1.00,0.67,0.67}{\strut ##1}}}}
+\@namedef{PYG@tok@kc}{\let\PYG@bf=\textbf\def\PYG@tc##1{\textcolor[rgb]{0.00,0.40,0.60}{##1}}}
+\@namedef{PYG@tok@kd}{\let\PYG@bf=\textbf\def\PYG@tc##1{\textcolor[rgb]{0.00,0.40,0.60}{##1}}}
+\@namedef{PYG@tok@kn}{\let\PYG@bf=\textbf\def\PYG@tc##1{\textcolor[rgb]{0.00,0.40,0.60}{##1}}}
+\@namedef{PYG@tok@kr}{\let\PYG@bf=\textbf\def\PYG@tc##1{\textcolor[rgb]{0.00,0.40,0.60}{##1}}}
+\@namedef{PYG@tok@bp}{\def\PYG@tc##1{\textcolor[rgb]{0.20,0.40,0.40}{##1}}}
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+\@namedef{PYG@tok@s2}{\def\PYG@tc##1{\textcolor[rgb]{0.80,0.20,0.00}{##1}}}
+\@namedef{PYG@tok@sh}{\def\PYG@tc##1{\textcolor[rgb]{0.80,0.20,0.00}{##1}}}
+\@namedef{PYG@tok@s1}{\def\PYG@tc##1{\textcolor[rgb]{0.80,0.20,0.00}{##1}}}
+\@namedef{PYG@tok@mb}{\def\PYG@tc##1{\textcolor[rgb]{1.00,0.40,0.00}{##1}}}
+\@namedef{PYG@tok@mf}{\def\PYG@tc##1{\textcolor[rgb]{1.00,0.40,0.00}{##1}}}
+\@namedef{PYG@tok@mh}{\def\PYG@tc##1{\textcolor[rgb]{1.00,0.40,0.00}{##1}}}
+\@namedef{PYG@tok@mi}{\def\PYG@tc##1{\textcolor[rgb]{1.00,0.40,0.00}{##1}}}
+\@namedef{PYG@tok@il}{\def\PYG@tc##1{\textcolor[rgb]{1.00,0.40,0.00}{##1}}}
+\@namedef{PYG@tok@mo}{\def\PYG@tc##1{\textcolor[rgb]{1.00,0.40,0.00}{##1}}}
+\@namedef{PYG@tok@ch}{\let\PYG@it=\textit\def\PYG@tc##1{\textcolor[rgb]{0.00,0.60,1.00}{##1}}}
+\@namedef{PYG@tok@cm}{\let\PYG@it=\textit\def\PYG@tc##1{\textcolor[rgb]{0.00,0.60,1.00}{##1}}}
+\@namedef{PYG@tok@cpf}{\let\PYG@it=\textit\def\PYG@tc##1{\textcolor[rgb]{0.00,0.60,1.00}{##1}}}
+\@namedef{PYG@tok@c1}{\let\PYG@it=\textit\def\PYG@tc##1{\textcolor[rgb]{0.00,0.60,1.00}{##1}}}
+
+\def\PYGZbs{\char`\\}
+\def\PYGZus{\char`\_}
+\def\PYGZob{\char`\{}
+\def\PYGZcb{\char`\}}
+\def\PYGZca{\char`\^}
+\def\PYGZam{\char`\&}
+\def\PYGZlt{\char`\<}
+\def\PYGZgt{\char`\>}
+\def\PYGZsh{\char`\#}
+\def\PYGZpc{\char`\%}
+\def\PYGZdl{\char`\$}
+\def\PYGZhy{\char`\-}
+\def\PYGZsq{\char`\'}
+\def\PYGZdq{\char`\"}
+\def\PYGZti{\char`\~}
+% for compatibility with earlier versions
+\def\PYGZat{@}
+\def\PYGZlb{[}
+\def\PYGZrb{]}
+\makeatother
+
diff --git a/Normal/rapport/latexmkrc b/Normal/rapport/latexmkrc
new file mode 100644
index 0000000000000000000000000000000000000000..35dadc8d8f1c06c41f9a2d63544d92f4ea02fe9a
--- /dev/null
+++ b/Normal/rapport/latexmkrc
@@ -0,0 +1,3 @@
+$pdf_mode = 1;
+$print='pdf';
+$pdflatex = 'xelatex --shell-escape %O %S';
diff --git a/Normal/rapport/rendu.aux b/Normal/rapport/rendu.aux
new file mode 100644
index 0000000000000000000000000000000000000000..befdedb0644b3aefd7964c523d4c5a3ecc66d725
--- /dev/null
+++ b/Normal/rapport/rendu.aux
@@ -0,0 +1,62 @@
+\relax
+\providecommand\babel@aux[2]{}
+\@nameuse{bbl@beforestart}
+\abx@aux@refcontext{nty/global//global/global}
+\providecommand\hyper@newdestlabel[2]{}
+\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
+\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
+\global\let\oldnewlabel\newlabel
+\gdef\newlabel#1#2{\newlabelxx{#1}#2}
+\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
+\AtEndDocument{\ifx\hyper@anchor\@undefined
+\let\newlabel\oldnewlabel
+\fi}
+\fi}
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+\gdef\HyperFirstAtBeginDocument#1{#1}
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diff --git a/Normal/rapport/rendu.bcf b/Normal/rapport/rendu.bcf
new file mode 100644
index 0000000000000000000000000000000000000000..3b05b242bed543598821fdf3ace73c94b8cb821f
--- /dev/null
+++ b/Normal/rapport/rendu.bcf
@@ -0,0 +1,2383 @@
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+ </bcf:option>
+ <bcf:option type="multivalued">
+ <bcf:key>labeltitlespec</bcf:key>
+ <bcf:value order="1">shorttitle</bcf:value>
+ <bcf:value order="2">title</bcf:value>
+ <bcf:value order="3">maintitle</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>labeltitleyear</bcf:key>
+ <bcf:value>0</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>labeldateparts</bcf:key>
+ <bcf:value>0</bcf:value>
+ </bcf:option>
+ <bcf:option type="multivalued">
+ <bcf:key>labeldatespec</bcf:key>
+ <bcf:value order="1" type="field">date</bcf:value>
+ <bcf:value order="2" type="field">year</bcf:value>
+ <bcf:value order="3" type="field">eventdate</bcf:value>
+ <bcf:value order="4" type="field">origdate</bcf:value>
+ <bcf:value order="5" type="field">urldate</bcf:value>
+ <bcf:value order="6" type="string">nodate</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>maxalphanames</bcf:key>
+ <bcf:value>3</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>maxbibnames</bcf:key>
+ <bcf:value>3</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>maxcitenames</bcf:key>
+ <bcf:value>3</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>maxsortnames</bcf:key>
+ <bcf:value>3</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>maxitems</bcf:key>
+ <bcf:value>3</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>minalphanames</bcf:key>
+ <bcf:value>1</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>minbibnames</bcf:key>
+ <bcf:value>1</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>mincitenames</bcf:key>
+ <bcf:value>1</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>minsortnames</bcf:key>
+ <bcf:value>1</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>minitems</bcf:key>
+ <bcf:value>1</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>nohashothers</bcf:key>
+ <bcf:value>0</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>noroman</bcf:key>
+ <bcf:value>0</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>nosortothers</bcf:key>
+ <bcf:value>0</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>singletitle</bcf:key>
+ <bcf:value>0</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>skipbib</bcf:key>
+ <bcf:value>0</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>skipbiblist</bcf:key>
+ <bcf:value>0</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>skiplab</bcf:key>
+ <bcf:value>0</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>uniquelist</bcf:key>
+ <bcf:value>false</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>uniquename</bcf:key>
+ <bcf:value>false</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>uniqueprimaryauthor</bcf:key>
+ <bcf:value>0</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>uniquetitle</bcf:key>
+ <bcf:value>0</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>uniquebaretitle</bcf:key>
+ <bcf:value>0</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>uniquework</bcf:key>
+ <bcf:value>0</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>useprefix</bcf:key>
+ <bcf:value>0</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>useafterword</bcf:key>
+ <bcf:value>1</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>useannotator</bcf:key>
+ <bcf:value>1</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>useauthor</bcf:key>
+ <bcf:value>1</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>usebookauthor</bcf:key>
+ <bcf:value>1</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>usecommentator</bcf:key>
+ <bcf:value>1</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>useeditor</bcf:key>
+ <bcf:value>1</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>useeditora</bcf:key>
+ <bcf:value>1</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>useeditorb</bcf:key>
+ <bcf:value>1</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>useeditorc</bcf:key>
+ <bcf:value>1</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>useforeword</bcf:key>
+ <bcf:value>1</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>useholder</bcf:key>
+ <bcf:value>1</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>useintroduction</bcf:key>
+ <bcf:value>1</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>usenamea</bcf:key>
+ <bcf:value>1</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>usenameb</bcf:key>
+ <bcf:value>1</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>usenamec</bcf:key>
+ <bcf:value>1</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>usetranslator</bcf:key>
+ <bcf:value>0</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>useshortauthor</bcf:key>
+ <bcf:value>1</bcf:value>
+ </bcf:option>
+ <bcf:option type="singlevalued">
+ <bcf:key>useshorteditor</bcf:key>
+ <bcf:value>1</bcf:value>
+ </bcf:option>
+ </bcf:options>
+ <!-- BIBLATEX OPTION SCOPE -->
+ <bcf:optionscope type="GLOBAL">
+ <bcf:option datatype="xml">datamodel</bcf:option>
+ <bcf:option datatype="xml">labelalphanametemplate</bcf:option>
+ <bcf:option datatype="xml">labelalphatemplate</bcf:option>
+ <bcf:option datatype="xml">inheritance</bcf:option>
+ <bcf:option datatype="xml">translit</bcf:option>
+ <bcf:option datatype="xml">uniquenametemplate</bcf:option>
+ <bcf:option datatype="xml">sortingnamekeytemplate</bcf:option>
+ <bcf:option datatype="xml">sortingtemplate</bcf:option>
+ <bcf:option datatype="xml">extradatespec</bcf:option>
+ <bcf:option datatype="xml">labelnamespec</bcf:option>
+ <bcf:option datatype="xml">labeltitlespec</bcf:option>
+ <bcf:option datatype="xml">labeldatespec</bcf:option>
+ <bcf:option datatype="string">controlversion</bcf:option>
+ <bcf:option datatype="string">alphaothers</bcf:option>
+ <bcf:option datatype="string">sortalphaothers</bcf:option>
+ <bcf:option datatype="string">presort</bcf:option>
+ <bcf:option datatype="string">texencoding</bcf:option>
+ <bcf:option datatype="string">bibencoding</bcf:option>
+ <bcf:option datatype="string">sortingtemplatename</bcf:option>
+ <bcf:option datatype="string">sortlocale</bcf:option>
+ <bcf:option datatype="string">language</bcf:option>
+ <bcf:option datatype="string">autolang</bcf:option>
+ <bcf:option datatype="string">langhook</bcf:option>
+ <bcf:option datatype="string">indexing</bcf:option>
+ <bcf:option datatype="string">hyperref</bcf:option>
+ <bcf:option datatype="string">backrefsetstyle</bcf:option>
+ <bcf:option datatype="string">block</bcf:option>
+ <bcf:option datatype="string">pagetracker</bcf:option>
+ <bcf:option datatype="string">citecounter</bcf:option>
+ <bcf:option datatype="string">citetracker</bcf:option>
+ <bcf:option datatype="string">ibidtracker</bcf:option>
+ <bcf:option datatype="string">idemtracker</bcf:option>
+ <bcf:option datatype="string">opcittracker</bcf:option>
+ <bcf:option datatype="string">loccittracker</bcf:option>
+ <bcf:option datatype="string">labeldate</bcf:option>
+ <bcf:option datatype="string">labeltime</bcf:option>
+ <bcf:option datatype="string">dateera</bcf:option>
+ <bcf:option datatype="string">date</bcf:option>
+ <bcf:option datatype="string">time</bcf:option>
+ <bcf:option datatype="string">eventdate</bcf:option>
+ <bcf:option datatype="string">eventtime</bcf:option>
+ <bcf:option datatype="string">origdate</bcf:option>
+ <bcf:option datatype="string">origtime</bcf:option>
+ <bcf:option datatype="string">urldate</bcf:option>
+ <bcf:option datatype="string">urltime</bcf:option>
+ <bcf:option datatype="string">alldatesusetime</bcf:option>
+ <bcf:option datatype="string">alldates</bcf:option>
+ <bcf:option datatype="string">alltimes</bcf:option>
+ <bcf:option datatype="string">gregorianstart</bcf:option>
+ <bcf:option datatype="string">autocite</bcf:option>
+ <bcf:option datatype="string">notetype</bcf:option>
+ <bcf:option datatype="string">uniquelist</bcf:option>
+ <bcf:option datatype="string">uniquename</bcf:option>
+ <bcf:option datatype="string">refsection</bcf:option>
+ <bcf:option datatype="string">refsegment</bcf:option>
+ <bcf:option datatype="string">citereset</bcf:option>
+ <bcf:option datatype="string">sortlos</bcf:option>
+ <bcf:option datatype="string">babel</bcf:option>
+ <bcf:option datatype="string">datelabel</bcf:option>
+ <bcf:option datatype="string">backrefstyle</bcf:option>
+ <bcf:option datatype="string">arxiv</bcf:option>
+ <bcf:option datatype="boolean">familyinits</bcf:option>
+ <bcf:option datatype="boolean">giveninits</bcf:option>
+ <bcf:option datatype="boolean">prefixinits</bcf:option>
+ <bcf:option datatype="boolean">suffixinits</bcf:option>
+ <bcf:option datatype="boolean">useafterword</bcf:option>
+ <bcf:option datatype="boolean">useannotator</bcf:option>
+ <bcf:option datatype="boolean">useauthor</bcf:option>
+ <bcf:option datatype="boolean">usebookauthor</bcf:option>
+ <bcf:option datatype="boolean">usecommentator</bcf:option>
+ <bcf:option datatype="boolean">useeditor</bcf:option>
+ <bcf:option datatype="boolean">useeditora</bcf:option>
+ <bcf:option datatype="boolean">useeditorb</bcf:option>
+ <bcf:option datatype="boolean">useeditorc</bcf:option>
+ <bcf:option datatype="boolean">useforeword</bcf:option>
+ <bcf:option datatype="boolean">useholder</bcf:option>
+ <bcf:option datatype="boolean">useintroduction</bcf:option>
+ <bcf:option datatype="boolean">usenamea</bcf:option>
+ <bcf:option datatype="boolean">usenameb</bcf:option>
+ <bcf:option datatype="boolean">usenamec</bcf:option>
+ <bcf:option datatype="boolean">usetranslator</bcf:option>
+ <bcf:option datatype="boolean">useshortauthor</bcf:option>
+ <bcf:option datatype="boolean">useshorteditor</bcf:option>
+ <bcf:option datatype="boolean">debug</bcf:option>
+ <bcf:option datatype="boolean">loadfiles</bcf:option>
+ <bcf:option datatype="boolean">safeinputenc</bcf:option>
+ <bcf:option datatype="boolean">sortcase</bcf:option>
+ <bcf:option datatype="boolean">sortupper</bcf:option>
+ <bcf:option datatype="boolean">terseinits</bcf:option>
+ <bcf:option datatype="boolean">abbreviate</bcf:option>
+ <bcf:option datatype="boolean">dateabbrev</bcf:option>
+ <bcf:option datatype="boolean">clearlang</bcf:option>
+ <bcf:option datatype="boolean">sortcites</bcf:option>
+ <bcf:option datatype="boolean">sortsets</bcf:option>
+ <bcf:option datatype="boolean">backref</bcf:option>
+ <bcf:option datatype="boolean">backreffloats</bcf:option>
+ <bcf:option datatype="boolean">trackfloats</bcf:option>
+ <bcf:option datatype="boolean">parentracker</bcf:option>
+ <bcf:option datatype="boolean">labeldateusetime</bcf:option>
+ <bcf:option datatype="boolean">datecirca</bcf:option>
+ <bcf:option datatype="boolean">dateuncertain</bcf:option>
+ <bcf:option datatype="boolean">dateusetime</bcf:option>
+ <bcf:option datatype="boolean">eventdateusetime</bcf:option>
+ <bcf:option datatype="boolean">origdateusetime</bcf:option>
+ <bcf:option datatype="boolean">urldateusetime</bcf:option>
+ <bcf:option datatype="boolean">julian</bcf:option>
+ <bcf:option datatype="boolean">datezeros</bcf:option>
+ <bcf:option datatype="boolean">timezeros</bcf:option>
+ <bcf:option datatype="boolean">timezones</bcf:option>
+ <bcf:option datatype="boolean">seconds</bcf:option>
+ <bcf:option datatype="boolean">autopunct</bcf:option>
+ <bcf:option datatype="boolean">punctfont</bcf:option>
+ <bcf:option datatype="boolean">labelnumber</bcf:option>
+ <bcf:option datatype="boolean">labelalpha</bcf:option>
+ <bcf:option datatype="boolean">labeltitle</bcf:option>
+ <bcf:option datatype="boolean">labeltitleyear</bcf:option>
+ <bcf:option datatype="boolean">labeldateparts</bcf:option>
+ <bcf:option datatype="boolean">pluralothers</bcf:option>
+ <bcf:option datatype="boolean">nohashothers</bcf:option>
+ <bcf:option datatype="boolean">nosortothers</bcf:option>
+ <bcf:option datatype="boolean">noroman</bcf:option>
+ <bcf:option datatype="boolean">singletitle</bcf:option>
+ <bcf:option datatype="boolean">uniquetitle</bcf:option>
+ <bcf:option datatype="boolean">uniquebaretitle</bcf:option>
+ <bcf:option datatype="boolean">uniquework</bcf:option>
+ <bcf:option datatype="boolean">uniqueprimaryauthor</bcf:option>
+ <bcf:option datatype="boolean">defernumbers</bcf:option>
+ <bcf:option datatype="boolean">locallabelwidth</bcf:option>
+ <bcf:option datatype="boolean">bibwarn</bcf:option>
+ <bcf:option datatype="boolean">useprefix</bcf:option>
+ <bcf:option datatype="boolean">skipbib</bcf:option>
+ <bcf:option datatype="boolean">skipbiblist</bcf:option>
+ <bcf:option datatype="boolean">skiplab</bcf:option>
+ <bcf:option datatype="boolean">dataonly</bcf:option>
+ <bcf:option datatype="boolean">defernums</bcf:option>
+ <bcf:option datatype="boolean">firstinits</bcf:option>
+ <bcf:option datatype="boolean">sortfirstinits</bcf:option>
+ <bcf:option datatype="boolean">sortgiveninits</bcf:option>
+ <bcf:option datatype="boolean">labelyear</bcf:option>
+ <bcf:option datatype="boolean">isbn</bcf:option>
+ <bcf:option datatype="boolean">url</bcf:option>
+ <bcf:option datatype="boolean">doi</bcf:option>
+ <bcf:option datatype="boolean">eprint</bcf:option>
+ <bcf:option datatype="boolean">related</bcf:option>
+ <bcf:option datatype="boolean">subentry</bcf:option>
+ <bcf:option datatype="boolean">bibtexcaseprotection</bcf:option>
+ <bcf:option datatype="integer">mincrossrefs</bcf:option>
+ <bcf:option datatype="integer">minxrefs</bcf:option>
+ <bcf:option datatype="integer">maxnames</bcf:option>
+ <bcf:option datatype="integer">minnames</bcf:option>
+ <bcf:option datatype="integer">maxbibnames</bcf:option>
+ <bcf:option datatype="integer">minbibnames</bcf:option>
+ <bcf:option datatype="integer">maxcitenames</bcf:option>
+ <bcf:option datatype="integer">mincitenames</bcf:option>
+ <bcf:option datatype="integer">maxsortnames</bcf:option>
+ <bcf:option datatype="integer">minsortnames</bcf:option>
+ <bcf:option datatype="integer">maxitems</bcf:option>
+ <bcf:option datatype="integer">minitems</bcf:option>
+ <bcf:option datatype="integer">maxalphanames</bcf:option>
+ <bcf:option datatype="integer">minalphanames</bcf:option>
+ <bcf:option datatype="integer">maxparens</bcf:option>
+ <bcf:option datatype="integer">dateeraauto</bcf:option>
+ </bcf:optionscope>
+ <bcf:optionscope type="ENTRYTYPE">
+ <bcf:option datatype="string">alphaothers</bcf:option>
+ <bcf:option datatype="string">sortalphaothers</bcf:option>
+ <bcf:option datatype="string">presort</bcf:option>
+ <bcf:option datatype="string">indexing</bcf:option>
+ <bcf:option datatype="string">citetracker</bcf:option>
+ <bcf:option datatype="string">ibidtracker</bcf:option>
+ <bcf:option datatype="string">idemtracker</bcf:option>
+ <bcf:option datatype="string">opcittracker</bcf:option>
+ <bcf:option datatype="string">loccittracker</bcf:option>
+ <bcf:option datatype="string">uniquelist</bcf:option>
+ <bcf:option datatype="string">uniquename</bcf:option>
+ <bcf:option datatype="boolean">familyinits</bcf:option>
+ <bcf:option datatype="boolean">giveninits</bcf:option>
+ <bcf:option datatype="boolean">prefixinits</bcf:option>
+ <bcf:option datatype="boolean">suffixinits</bcf:option>
+ <bcf:option datatype="boolean">useafterword</bcf:option>
+ <bcf:option datatype="boolean">useannotator</bcf:option>
+ <bcf:option datatype="boolean">useauthor</bcf:option>
+ <bcf:option datatype="boolean">usebookauthor</bcf:option>
+ <bcf:option datatype="boolean">usecommentator</bcf:option>
+ <bcf:option datatype="boolean">useeditor</bcf:option>
+ <bcf:option datatype="boolean">useeditora</bcf:option>
+ <bcf:option datatype="boolean">useeditorb</bcf:option>
+ <bcf:option datatype="boolean">useeditorc</bcf:option>
+ <bcf:option datatype="boolean">useforeword</bcf:option>
+ <bcf:option datatype="boolean">useholder</bcf:option>
+ <bcf:option datatype="boolean">useintroduction</bcf:option>
+ <bcf:option datatype="boolean">usenamea</bcf:option>
+ <bcf:option datatype="boolean">usenameb</bcf:option>
+ <bcf:option datatype="boolean">usenamec</bcf:option>
+ <bcf:option datatype="boolean">usetranslator</bcf:option>
+ <bcf:option datatype="boolean">useshortauthor</bcf:option>
+ <bcf:option datatype="boolean">useshorteditor</bcf:option>
+ <bcf:option datatype="boolean">terseinits</bcf:option>
+ <bcf:option datatype="boolean">abbreviate</bcf:option>
+ <bcf:option datatype="boolean">dateabbrev</bcf:option>
+ <bcf:option datatype="boolean">clearlang</bcf:option>
+ <bcf:option datatype="boolean">labelnumber</bcf:option>
+ <bcf:option datatype="boolean">labelalpha</bcf:option>
+ <bcf:option datatype="boolean">labeltitle</bcf:option>
+ <bcf:option datatype="boolean">labeltitleyear</bcf:option>
+ <bcf:option datatype="boolean">labeldateparts</bcf:option>
+ <bcf:option datatype="boolean">nohashothers</bcf:option>
+ <bcf:option datatype="boolean">nosortothers</bcf:option>
+ <bcf:option datatype="boolean">noroman</bcf:option>
+ <bcf:option datatype="boolean">singletitle</bcf:option>
+ <bcf:option datatype="boolean">uniquetitle</bcf:option>
+ <bcf:option datatype="boolean">uniquebaretitle</bcf:option>
+ <bcf:option datatype="boolean">uniquework</bcf:option>
+ <bcf:option datatype="boolean">uniqueprimaryauthor</bcf:option>
+ <bcf:option datatype="boolean">useprefix</bcf:option>
+ <bcf:option datatype="boolean">skipbib</bcf:option>
+ <bcf:option datatype="boolean">skipbiblist</bcf:option>
+ <bcf:option datatype="boolean">skiplab</bcf:option>
+ <bcf:option datatype="boolean">dataonly</bcf:option>
+ <bcf:option datatype="boolean">skiplos</bcf:option>
+ <bcf:option datatype="boolean">labelyear</bcf:option>
+ <bcf:option datatype="boolean">isbn</bcf:option>
+ <bcf:option datatype="boolean">url</bcf:option>
+ <bcf:option datatype="boolean">doi</bcf:option>
+ <bcf:option datatype="boolean">eprint</bcf:option>
+ <bcf:option datatype="boolean">related</bcf:option>
+ <bcf:option datatype="boolean">subentry</bcf:option>
+ <bcf:option datatype="boolean">bibtexcaseprotection</bcf:option>
+ <bcf:option datatype="xml">labelalphatemplate</bcf:option>
+ <bcf:option datatype="xml">translit</bcf:option>
+ <bcf:option datatype="xml">sortexclusion</bcf:option>
+ <bcf:option datatype="xml">sortinclusion</bcf:option>
+ <bcf:option datatype="xml">labelnamespec</bcf:option>
+ <bcf:option datatype="xml">labeltitlespec</bcf:option>
+ <bcf:option datatype="xml">labeldatespec</bcf:option>
+ <bcf:option datatype="integer">maxnames</bcf:option>
+ <bcf:option datatype="integer">minnames</bcf:option>
+ <bcf:option datatype="integer">maxbibnames</bcf:option>
+ <bcf:option datatype="integer">minbibnames</bcf:option>
+ <bcf:option datatype="integer">maxcitenames</bcf:option>
+ <bcf:option datatype="integer">mincitenames</bcf:option>
+ <bcf:option datatype="integer">maxsortnames</bcf:option>
+ <bcf:option datatype="integer">minsortnames</bcf:option>
+ <bcf:option datatype="integer">maxitems</bcf:option>
+ <bcf:option datatype="integer">minitems</bcf:option>
+ <bcf:option datatype="integer">maxalphanames</bcf:option>
+ <bcf:option datatype="integer">minalphanames</bcf:option>
+ </bcf:optionscope>
+ <bcf:optionscope type="ENTRY">
+ <bcf:option datatype="string">noinherit</bcf:option>
+ <bcf:option datatype="string" backendin="sortingnamekeytemplatename,uniquenametemplatename,labelalphanametemplatename">nametemplates</bcf:option>
+ <bcf:option datatype="string" backendout="1">labelalphanametemplatename</bcf:option>
+ <bcf:option datatype="string" backendout="1">uniquenametemplatename</bcf:option>
+ <bcf:option datatype="string" backendout="1">sortingnamekeytemplatename</bcf:option>
+ <bcf:option datatype="string">presort</bcf:option>
+ <bcf:option datatype="string" backendout="1">indexing</bcf:option>
+ <bcf:option datatype="string" backendout="1">citetracker</bcf:option>
+ <bcf:option datatype="string" backendout="1">ibidtracker</bcf:option>
+ <bcf:option datatype="string" backendout="1">idemtracker</bcf:option>
+ <bcf:option datatype="string" backendout="1">opcittracker</bcf:option>
+ <bcf:option datatype="string" backendout="1">loccittracker</bcf:option>
+ <bcf:option datatype="string">uniquelist</bcf:option>
+ <bcf:option datatype="string">uniquename</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">familyinits</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">giveninits</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">prefixinits</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">suffixinits</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">useafterword</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">useannotator</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">useauthor</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">usebookauthor</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">usecommentator</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">useeditor</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">useeditora</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">useeditorb</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">useeditorc</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">useforeword</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">useholder</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">useintroduction</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">usenamea</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">usenameb</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">usenamec</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">usetranslator</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">useshortauthor</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">useshorteditor</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">terseinits</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">abbreviate</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">dateabbrev</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">clearlang</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">labelnumber</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">labelalpha</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">labeltitle</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">labeltitleyear</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">labeldateparts</bcf:option>
+ <bcf:option datatype="boolean">nohashothers</bcf:option>
+ <bcf:option datatype="boolean">nosortothers</bcf:option>
+ <bcf:option datatype="boolean">noroman</bcf:option>
+ <bcf:option datatype="boolean">singletitle</bcf:option>
+ <bcf:option datatype="boolean">uniquetitle</bcf:option>
+ <bcf:option datatype="boolean">uniquebaretitle</bcf:option>
+ <bcf:option datatype="boolean">uniquework</bcf:option>
+ <bcf:option datatype="boolean">uniqueprimaryauthor</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">useprefix</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">skipbib</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">skipbiblist</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">skiplab</bcf:option>
+ <bcf:option datatype="boolean" backendin="uniquename=false,uniquelist=false,skipbib=true,skipbiblist=true,skiplab=true">dataonly</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">skiplos</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">isbn</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">url</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">doi</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">eprint</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">related</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">subentry</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">bibtexcaseprotection</bcf:option>
+ <bcf:option datatype="integer" backendin="maxcitenames,maxbibnames,maxsortnames">maxnames</bcf:option>
+ <bcf:option datatype="integer" backendin="mincitenames,minbibnames,minsortnames">minnames</bcf:option>
+ <bcf:option datatype="integer" backendout="1">maxbibnames</bcf:option>
+ <bcf:option datatype="integer" backendout="1">minbibnames</bcf:option>
+ <bcf:option datatype="integer" backendout="1">maxcitenames</bcf:option>
+ <bcf:option datatype="integer" backendout="1">mincitenames</bcf:option>
+ <bcf:option datatype="integer" backendout="1">maxsortnames</bcf:option>
+ <bcf:option datatype="integer" backendout="1">minsortnames</bcf:option>
+ <bcf:option datatype="integer" backendout="1">maxitems</bcf:option>
+ <bcf:option datatype="integer" backendout="1">minitems</bcf:option>
+ <bcf:option datatype="integer" backendout="1">maxalphanames</bcf:option>
+ <bcf:option datatype="integer" backendout="1">minalphanames</bcf:option>
+ </bcf:optionscope>
+ <bcf:optionscope type="NAMELIST">
+ <bcf:option datatype="string" backendin="sortingnamekeytemplatename,uniquenametemplatename,labelalphanametemplatename">nametemplates</bcf:option>
+ <bcf:option datatype="string" backendout="1">labelalphanametemplatename</bcf:option>
+ <bcf:option datatype="string" backendout="1">uniquenametemplatename</bcf:option>
+ <bcf:option datatype="string" backendout="1">sortingnamekeytemplatename</bcf:option>
+ <bcf:option datatype="string">uniquelist</bcf:option>
+ <bcf:option datatype="string">uniquename</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">familyinits</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">giveninits</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">prefixinits</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">suffixinits</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">terseinits</bcf:option>
+ <bcf:option datatype="boolean">nohashothers</bcf:option>
+ <bcf:option datatype="boolean">nosortothers</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">useprefix</bcf:option>
+ </bcf:optionscope>
+ <bcf:optionscope type="NAME">
+ <bcf:option datatype="string" backendin="sortingnamekeytemplatename,uniquenametemplatename,labelalphanametemplatename">nametemplates</bcf:option>
+ <bcf:option datatype="string" backendout="1">labelalphanametemplatename</bcf:option>
+ <bcf:option datatype="string" backendout="1">uniquenametemplatename</bcf:option>
+ <bcf:option datatype="string" backendout="1">sortingnamekeytemplatename</bcf:option>
+ <bcf:option datatype="string">uniquename</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">familyinits</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">giveninits</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">prefixinits</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">suffixinits</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">terseinits</bcf:option>
+ <bcf:option datatype="boolean" backendout="1">useprefix</bcf:option>
+ </bcf:optionscope>
+ <!-- DATAFIELDSETS -->
+ <bcf:datafieldset name="setnames">
+ <bcf:member datatype="name" fieldtype="list"/>
+ </bcf:datafieldset>
+ <bcf:datafieldset name="settitles">
+ <bcf:member field="title"/>
+ <bcf:member field="booktitle"/>
+ <bcf:member field="eventtitle"/>
+ <bcf:member field="issuetitle"/>
+ <bcf:member field="journaltitle"/>
+ <bcf:member field="maintitle"/>
+ <bcf:member field="origtitle"/>
+ </bcf:datafieldset>
+ <!-- SOURCEMAP -->
+ <bcf:sourcemap>
+ <bcf:maps datatype="bibtex" level="driver">
+ <bcf:map>
+ <bcf:map_step map_field_set="day" map_null="1"/>
+ </bcf:map>
+ <bcf:map>
+ <bcf:map_step map_type_source="conference" map_type_target="inproceedings"/>
+ <bcf:map_step map_type_source="electronic" map_type_target="online"/>
+ <bcf:map_step map_type_source="www" map_type_target="online"/>
+ </bcf:map>
+ <bcf:map>
+ <bcf:map_step map_type_source="mastersthesis" map_type_target="thesis" map_final="1"/>
+ <bcf:map_step map_field_set="type" map_field_value="mathesis"/>
+ </bcf:map>
+ <bcf:map>
+ <bcf:map_step map_type_source="phdthesis" map_type_target="thesis" map_final="1"/>
+ <bcf:map_step map_field_set="type" map_field_value="phdthesis"/>
+ </bcf:map>
+ <bcf:map>
+ <bcf:map_step map_type_source="techreport" map_type_target="report" map_final="1"/>
+ <bcf:map_step map_field_set="type" map_field_value="techreport"/>
+ </bcf:map>
+ <bcf:map>
+ <bcf:map_step map_field_source="hyphenation" map_field_target="langid"/>
+ <bcf:map_step map_field_source="address" map_field_target="location"/>
+ <bcf:map_step map_field_source="school" map_field_target="institution"/>
+ <bcf:map_step map_field_source="annote" map_field_target="annotation"/>
+ <bcf:map_step map_field_source="archiveprefix" map_field_target="eprinttype"/>
+ <bcf:map_step map_field_source="journal" map_field_target="journaltitle"/>
+ <bcf:map_step map_field_source="primaryclass" map_field_target="eprintclass"/>
+ <bcf:map_step map_field_source="key" map_field_target="sortkey"/>
+ <bcf:map_step map_field_source="pdf" map_field_target="file"/>
+ </bcf:map>
+ </bcf:maps>
+ </bcf:sourcemap>
+ <!-- LABELALPHA NAME TEMPLATE -->
+ <bcf:labelalphanametemplate name="global">
+ <bcf:namepart order="1" use="1" pre="1" substring_width="1" substring_compound="1">prefix</bcf:namepart>
+ <bcf:namepart order="2">family</bcf:namepart>
+ </bcf:labelalphanametemplate>
+ <!-- LABELALPHA TEMPLATE -->
+ <bcf:labelalphatemplate type="global">
+ <bcf:labelelement order="1">
+ <bcf:labelpart final="1">shorthand</bcf:labelpart>
+ <bcf:labelpart>label</bcf:labelpart>
+ <bcf:labelpart substring_width="3" substring_side="left" ifnames="1">labelname</bcf:labelpart>
+ <bcf:labelpart substring_width="1" substring_side="left">labelname</bcf:labelpart>
+ </bcf:labelelement>
+ <bcf:labelelement order="2">
+ <bcf:labelpart substring_width="2" substring_side="right">year</bcf:labelpart>
+ </bcf:labelelement>
+ </bcf:labelalphatemplate>
+ <!-- EXTRADATE -->
+ <bcf:extradatespec>
+ <bcf:scope>
+ <bcf:field order="1">labelyear</bcf:field>
+ <bcf:field order="2">year</bcf:field>
+ </bcf:scope>
+ </bcf:extradatespec>
+ <!-- INHERITANCE -->
+ <bcf:inheritance>
+ <bcf:defaults inherit_all="true" override_target="false">
+ </bcf:defaults>
+ <bcf:inherit>
+ <bcf:type_pair source="mvbook" target="inbook"/>
+ <bcf:type_pair source="mvbook" target="bookinbook"/>
+ <bcf:type_pair source="mvbook" target="suppbook"/>
+ <bcf:type_pair source="book" target="inbook"/>
+ <bcf:type_pair source="book" target="bookinbook"/>
+ <bcf:type_pair source="book" target="suppbook"/>
+ <bcf:field source="author" target="author"/>
+ <bcf:field source="author" target="bookauthor"/>
+ </bcf:inherit>
+ <bcf:inherit>
+ <bcf:type_pair source="mvbook" target="book"/>
+ <bcf:type_pair source="mvbook" target="inbook"/>
+ <bcf:type_pair source="mvbook" target="bookinbook"/>
+ <bcf:type_pair source="mvbook" target="suppbook"/>
+ <bcf:field source="title" target="maintitle"/>
+ <bcf:field source="subtitle" target="mainsubtitle"/>
+ <bcf:field source="titleaddon" target="maintitleaddon"/>
+ <bcf:field source="shorttitle" skip="true"/>
+ <bcf:field source="sorttitle" skip="true"/>
+ <bcf:field source="indextitle" skip="true"/>
+ <bcf:field source="indexsorttitle" skip="true"/>
+ </bcf:inherit>
+ <bcf:inherit>
+ <bcf:type_pair source="mvcollection" target="collection"/>
+ <bcf:type_pair source="mvcollection" target="reference"/>
+ <bcf:type_pair source="mvcollection" target="incollection"/>
+ <bcf:type_pair source="mvcollection" target="inreference"/>
+ <bcf:type_pair source="mvcollection" target="suppcollection"/>
+ <bcf:type_pair source="mvreference" target="collection"/>
+ <bcf:type_pair source="mvreference" target="reference"/>
+ <bcf:type_pair source="mvreference" target="incollection"/>
+ <bcf:type_pair source="mvreference" target="inreference"/>
+ <bcf:type_pair source="mvreference" target="suppcollection"/>
+ <bcf:field source="title" target="maintitle"/>
+ <bcf:field source="subtitle" target="mainsubtitle"/>
+ <bcf:field source="titleaddon" target="maintitleaddon"/>
+ <bcf:field source="shorttitle" skip="true"/>
+ <bcf:field source="sorttitle" skip="true"/>
+ <bcf:field source="indextitle" skip="true"/>
+ <bcf:field source="indexsorttitle" skip="true"/>
+ </bcf:inherit>
+ <bcf:inherit>
+ <bcf:type_pair source="mvproceedings" target="proceedings"/>
+ <bcf:type_pair source="mvproceedings" target="inproceedings"/>
+ <bcf:field source="title" target="maintitle"/>
+ <bcf:field source="subtitle" target="mainsubtitle"/>
+ <bcf:field source="titleaddon" target="maintitleaddon"/>
+ <bcf:field source="shorttitle" skip="true"/>
+ <bcf:field source="sorttitle" skip="true"/>
+ <bcf:field source="indextitle" skip="true"/>
+ <bcf:field source="indexsorttitle" skip="true"/>
+ </bcf:inherit>
+ <bcf:inherit>
+ <bcf:type_pair source="book" target="inbook"/>
+ <bcf:type_pair source="book" target="bookinbook"/>
+ <bcf:type_pair source="book" target="suppbook"/>
+ <bcf:field source="title" target="booktitle"/>
+ <bcf:field source="subtitle" target="booksubtitle"/>
+ <bcf:field source="titleaddon" target="booktitleaddon"/>
+ <bcf:field source="shorttitle" skip="true"/>
+ <bcf:field source="sorttitle" skip="true"/>
+ <bcf:field source="indextitle" skip="true"/>
+ <bcf:field source="indexsorttitle" skip="true"/>
+ </bcf:inherit>
+ <bcf:inherit>
+ <bcf:type_pair source="collection" target="incollection"/>
+ <bcf:type_pair source="collection" target="inreference"/>
+ <bcf:type_pair source="collection" target="suppcollection"/>
+ <bcf:type_pair source="reference" target="incollection"/>
+ <bcf:type_pair source="reference" target="inreference"/>
+ <bcf:type_pair source="reference" target="suppcollection"/>
+ <bcf:field source="title" target="booktitle"/>
+ <bcf:field source="subtitle" target="booksubtitle"/>
+ <bcf:field source="titleaddon" target="booktitleaddon"/>
+ <bcf:field source="shorttitle" skip="true"/>
+ <bcf:field source="sorttitle" skip="true"/>
+ <bcf:field source="indextitle" skip="true"/>
+ <bcf:field source="indexsorttitle" skip="true"/>
+ </bcf:inherit>
+ <bcf:inherit>
+ <bcf:type_pair source="proceedings" target="inproceedings"/>
+ <bcf:field source="title" target="booktitle"/>
+ <bcf:field source="subtitle" target="booksubtitle"/>
+ <bcf:field source="titleaddon" target="booktitleaddon"/>
+ <bcf:field source="shorttitle" skip="true"/>
+ <bcf:field source="sorttitle" skip="true"/>
+ <bcf:field source="indextitle" skip="true"/>
+ <bcf:field source="indexsorttitle" skip="true"/>
+ </bcf:inherit>
+ <bcf:inherit>
+ <bcf:type_pair source="periodical" target="article"/>
+ <bcf:type_pair source="periodical" target="suppperiodical"/>
+ <bcf:field source="title" target="journaltitle"/>
+ <bcf:field source="subtitle" target="journalsubtitle"/>
+ <bcf:field source="titleaddon" target="journaltitleaddon"/>
+ <bcf:field source="shorttitle" skip="true"/>
+ <bcf:field source="sorttitle" skip="true"/>
+ <bcf:field source="indextitle" skip="true"/>
+ <bcf:field source="indexsorttitle" skip="true"/>
+ </bcf:inherit>
+ <bcf:inherit>
+ <bcf:type_pair source="*" target="*"/>
+ <bcf:field source="ids" skip="true"/>
+ <bcf:field source="crossref" skip="true"/>
+ <bcf:field source="xref" skip="true"/>
+ <bcf:field source="entryset" skip="true"/>
+ <bcf:field source="entrysubtype" skip="true"/>
+ <bcf:field source="execute" skip="true"/>
+ <bcf:field source="label" skip="true"/>
+ <bcf:field source="options" skip="true"/>
+ <bcf:field source="presort" skip="true"/>
+ <bcf:field source="related" skip="true"/>
+ <bcf:field source="relatedoptions" skip="true"/>
+ <bcf:field source="relatedstring" skip="true"/>
+ <bcf:field source="relatedtype" skip="true"/>
+ <bcf:field source="shorthand" skip="true"/>
+ <bcf:field source="shorthandintro" skip="true"/>
+ <bcf:field source="sortkey" skip="true"/>
+ </bcf:inherit>
+ </bcf:inheritance>
+ <!-- UNIQUENAME TEMPLATES -->
+ <bcf:uniquenametemplate name="global">
+ <bcf:namepart order="1" use="1" base="1">prefix</bcf:namepart>
+ <bcf:namepart order="2" base="1">family</bcf:namepart>
+ <bcf:namepart order="3">given</bcf:namepart>
+ </bcf:uniquenametemplate>
+ <!-- SORTING NAME KEY TEMPLATES -->
+ <bcf:sortingnamekeytemplate name="global" visibility="sort">
+ <bcf:keypart order="1">
+ <bcf:part type="namepart" order="1" use="1">prefix</bcf:part>
+ <bcf:part type="namepart" order="2">family</bcf:part>
+ </bcf:keypart>
+ <bcf:keypart order="2">
+ <bcf:part type="namepart" order="1">given</bcf:part>
+ </bcf:keypart>
+ <bcf:keypart order="3">
+ <bcf:part type="namepart" order="1">suffix</bcf:part>
+ </bcf:keypart>
+ <bcf:keypart order="4">
+ <bcf:part type="namepart" order="1" use="0">prefix</bcf:part>
+ </bcf:keypart>
+ </bcf:sortingnamekeytemplate>
+ <bcf:presort>mm</bcf:presort>
+ <!-- DATA MODEL -->
+ <bcf:datamodel>
+ <bcf:constants>
+ <bcf:constant type="list" name="gender">sf,sm,sn,pf,pm,pn,pp</bcf:constant>
+ <bcf:constant type="list" name="nameparts">family,given,prefix,suffix</bcf:constant>
+ <bcf:constant type="list" name="optiondatatypes">boolean,integer,string,xml</bcf:constant>
+ <bcf:constant type="list" name="multiscriptforms">default,transliteration,transcription,translation</bcf:constant>
+ </bcf:constants>
+ <bcf:entrytypes>
+ <bcf:entrytype>article</bcf:entrytype>
+ <bcf:entrytype>artwork</bcf:entrytype>
+ <bcf:entrytype>audio</bcf:entrytype>
+ <bcf:entrytype>bibnote</bcf:entrytype>
+ <bcf:entrytype>book</bcf:entrytype>
+ <bcf:entrytype>bookinbook</bcf:entrytype>
+ <bcf:entrytype>booklet</bcf:entrytype>
+ <bcf:entrytype>collection</bcf:entrytype>
+ <bcf:entrytype>commentary</bcf:entrytype>
+ <bcf:entrytype>customa</bcf:entrytype>
+ <bcf:entrytype>customb</bcf:entrytype>
+ <bcf:entrytype>customc</bcf:entrytype>
+ <bcf:entrytype>customd</bcf:entrytype>
+ <bcf:entrytype>custome</bcf:entrytype>
+ <bcf:entrytype>customf</bcf:entrytype>
+ <bcf:entrytype>dataset</bcf:entrytype>
+ <bcf:entrytype>inbook</bcf:entrytype>
+ <bcf:entrytype>incollection</bcf:entrytype>
+ <bcf:entrytype>inproceedings</bcf:entrytype>
+ <bcf:entrytype>inreference</bcf:entrytype>
+ <bcf:entrytype>image</bcf:entrytype>
+ <bcf:entrytype>jurisdiction</bcf:entrytype>
+ <bcf:entrytype>legal</bcf:entrytype>
+ <bcf:entrytype>legislation</bcf:entrytype>
+ <bcf:entrytype>letter</bcf:entrytype>
+ <bcf:entrytype>manual</bcf:entrytype>
+ <bcf:entrytype>misc</bcf:entrytype>
+ <bcf:entrytype>movie</bcf:entrytype>
+ <bcf:entrytype>music</bcf:entrytype>
+ <bcf:entrytype>mvcollection</bcf:entrytype>
+ <bcf:entrytype>mvreference</bcf:entrytype>
+ <bcf:entrytype>mvproceedings</bcf:entrytype>
+ <bcf:entrytype>mvbook</bcf:entrytype>
+ <bcf:entrytype>online</bcf:entrytype>
+ <bcf:entrytype>patent</bcf:entrytype>
+ <bcf:entrytype>performance</bcf:entrytype>
+ <bcf:entrytype>periodical</bcf:entrytype>
+ <bcf:entrytype>proceedings</bcf:entrytype>
+ <bcf:entrytype>reference</bcf:entrytype>
+ <bcf:entrytype>report</bcf:entrytype>
+ <bcf:entrytype>review</bcf:entrytype>
+ <bcf:entrytype>set</bcf:entrytype>
+ <bcf:entrytype>software</bcf:entrytype>
+ <bcf:entrytype>standard</bcf:entrytype>
+ <bcf:entrytype>suppbook</bcf:entrytype>
+ <bcf:entrytype>suppcollection</bcf:entrytype>
+ <bcf:entrytype>suppperiodical</bcf:entrytype>
+ <bcf:entrytype>thesis</bcf:entrytype>
+ <bcf:entrytype>unpublished</bcf:entrytype>
+ <bcf:entrytype>video</bcf:entrytype>
+ <bcf:entrytype skip_output="true">xdata</bcf:entrytype>
+ </bcf:entrytypes>
+ <bcf:fields>
+ <bcf:field fieldtype="field" datatype="integer">sortyear</bcf:field>
+ <bcf:field fieldtype="field" datatype="integer">volume</bcf:field>
+ <bcf:field fieldtype="field" datatype="integer">volumes</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">abstract</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">addendum</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">annotation</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">booksubtitle</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">booktitle</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">booktitleaddon</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">chapter</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">edition</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">eid</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">entrysubtype</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">eprintclass</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">eprinttype</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">eventtitle</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">eventtitleaddon</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">gender</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">howpublished</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">indexsorttitle</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">indextitle</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">isan</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">isbn</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">ismn</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">isrn</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">issn</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">issue</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">issuesubtitle</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">issuetitle</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">issuetitleaddon</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">iswc</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">journalsubtitle</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">journaltitle</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">journaltitleaddon</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">label</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">langid</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">langidopts</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">library</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">mainsubtitle</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">maintitle</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">maintitleaddon</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">nameaddon</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">note</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">number</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">origtitle</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">pagetotal</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">part</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">relatedstring</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">relatedtype</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">reprinttitle</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">series</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">shorthandintro</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">subtitle</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">title</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">titleaddon</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">usera</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">userb</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">userc</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">userd</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">usere</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">userf</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">venue</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal">version</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal" label="true">shorthand</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal" label="true">shortjournal</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal" label="true">shortseries</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal" label="true">shorttitle</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal" skip_output="true">sorttitle</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal" skip_output="true">sortshorthand</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal" skip_output="true">sortkey</bcf:field>
+ <bcf:field fieldtype="field" datatype="literal" skip_output="true">presort</bcf:field>
+ <bcf:field fieldtype="list" datatype="literal">institution</bcf:field>
+ <bcf:field fieldtype="list" datatype="literal">lista</bcf:field>
+ <bcf:field fieldtype="list" datatype="literal">listb</bcf:field>
+ <bcf:field fieldtype="list" datatype="literal">listc</bcf:field>
+ <bcf:field fieldtype="list" datatype="literal">listd</bcf:field>
+ <bcf:field fieldtype="list" datatype="literal">liste</bcf:field>
+ <bcf:field fieldtype="list" datatype="literal">listf</bcf:field>
+ <bcf:field fieldtype="list" datatype="literal">location</bcf:field>
+ <bcf:field fieldtype="list" datatype="literal">organization</bcf:field>
+ <bcf:field fieldtype="list" datatype="literal">origlocation</bcf:field>
+ <bcf:field fieldtype="list" datatype="literal">origpublisher</bcf:field>
+ <bcf:field fieldtype="list" datatype="literal">publisher</bcf:field>
+ <bcf:field fieldtype="list" datatype="name">afterword</bcf:field>
+ <bcf:field fieldtype="list" datatype="name">annotator</bcf:field>
+ <bcf:field fieldtype="list" datatype="name">author</bcf:field>
+ <bcf:field fieldtype="list" datatype="name">bookauthor</bcf:field>
+ <bcf:field fieldtype="list" datatype="name">commentator</bcf:field>
+ <bcf:field fieldtype="list" datatype="name">editor</bcf:field>
+ <bcf:field fieldtype="list" datatype="name">editora</bcf:field>
+ <bcf:field fieldtype="list" datatype="name">editorb</bcf:field>
+ <bcf:field fieldtype="list" datatype="name">editorc</bcf:field>
+ <bcf:field fieldtype="list" datatype="name">foreword</bcf:field>
+ <bcf:field fieldtype="list" datatype="name">holder</bcf:field>
+ <bcf:field fieldtype="list" datatype="name">introduction</bcf:field>
+ <bcf:field fieldtype="list" datatype="name">namea</bcf:field>
+ <bcf:field fieldtype="list" datatype="name">nameb</bcf:field>
+ <bcf:field fieldtype="list" datatype="name">namec</bcf:field>
+ <bcf:field fieldtype="list" datatype="name">translator</bcf:field>
+ <bcf:field fieldtype="list" datatype="name" label="true">shortauthor</bcf:field>
+ <bcf:field fieldtype="list" datatype="name" label="true">shorteditor</bcf:field>
+ <bcf:field fieldtype="list" datatype="name" skip_output="true">sortname</bcf:field>
+ <bcf:field fieldtype="field" datatype="key">authortype</bcf:field>
+ <bcf:field fieldtype="field" datatype="key">editoratype</bcf:field>
+ <bcf:field fieldtype="field" datatype="key">editorbtype</bcf:field>
+ <bcf:field fieldtype="field" datatype="key">editorctype</bcf:field>
+ <bcf:field fieldtype="field" datatype="key">editortype</bcf:field>
+ <bcf:field fieldtype="field" datatype="key">bookpagination</bcf:field>
+ <bcf:field fieldtype="field" datatype="key">nameatype</bcf:field>
+ <bcf:field fieldtype="field" datatype="key">namebtype</bcf:field>
+ <bcf:field fieldtype="field" datatype="key">namectype</bcf:field>
+ <bcf:field fieldtype="field" datatype="key">pagination</bcf:field>
+ <bcf:field fieldtype="field" datatype="key">pubstate</bcf:field>
+ <bcf:field fieldtype="field" datatype="key">type</bcf:field>
+ <bcf:field fieldtype="list" datatype="key">language</bcf:field>
+ <bcf:field fieldtype="list" datatype="key">origlanguage</bcf:field>
+ <bcf:field fieldtype="field" datatype="entrykey">crossref</bcf:field>
+ <bcf:field fieldtype="field" datatype="entrykey">xref</bcf:field>
+ <bcf:field fieldtype="field" datatype="date" skip_output="true">date</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart" nullok="true">endyear</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart" nullok="true">year</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">month</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">day</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">hour</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">minute</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">second</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">timezone</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">yeardivision</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">endmonth</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">endday</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">endhour</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">endminute</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">endsecond</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">endtimezone</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">endyeardivision</bcf:field>
+ <bcf:field fieldtype="field" datatype="date" skip_output="true">eventdate</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart" nullok="true">eventendyear</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart" nullok="true">eventyear</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">eventmonth</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">eventday</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">eventhour</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">eventminute</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">eventsecond</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">eventtimezone</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">eventyeardivision</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">eventendmonth</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">eventendday</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">eventendhour</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">eventendminute</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">eventendsecond</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">eventendtimezone</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">eventendyeardivision</bcf:field>
+ <bcf:field fieldtype="field" datatype="date" skip_output="true">origdate</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart" nullok="true">origendyear</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart" nullok="true">origyear</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">origmonth</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">origday</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">orighour</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">origminute</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">origsecond</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">origtimezone</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">origyeardivision</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">origendmonth</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">origendday</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">origendhour</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">origendminute</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">origendsecond</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">origendtimezone</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">origendyeardivision</bcf:field>
+ <bcf:field fieldtype="field" datatype="date" skip_output="true">urldate</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart" nullok="true">urlendyear</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart" nullok="true">urlyear</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">urlmonth</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">urlday</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">urlhour</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">urlminute</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">urlsecond</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">urltimezone</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">urlyeardivision</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">urlendmonth</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">urlendday</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">urlendhour</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">urlendminute</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">urlendsecond</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">urlendtimezone</bcf:field>
+ <bcf:field fieldtype="field" datatype="datepart">urlendyeardivision</bcf:field>
+ <bcf:field fieldtype="field" datatype="verbatim">doi</bcf:field>
+ <bcf:field fieldtype="field" datatype="verbatim">eprint</bcf:field>
+ <bcf:field fieldtype="field" datatype="verbatim">file</bcf:field>
+ <bcf:field fieldtype="field" datatype="verbatim">verba</bcf:field>
+ <bcf:field fieldtype="field" datatype="verbatim">verbb</bcf:field>
+ <bcf:field fieldtype="field" datatype="verbatim">verbc</bcf:field>
+ <bcf:field fieldtype="field" datatype="uri">url</bcf:field>
+ <bcf:field fieldtype="field" format="xsv" datatype="entrykey" skip_output="true">xdata</bcf:field>
+ <bcf:field fieldtype="field" format="xsv" datatype="entrykey" skip_output="true">ids</bcf:field>
+ <bcf:field fieldtype="field" format="xsv" datatype="entrykey" skip_output="true">entryset</bcf:field>
+ <bcf:field fieldtype="field" format="xsv" datatype="entrykey">related</bcf:field>
+ <bcf:field fieldtype="field" format="xsv" datatype="keyword">keywords</bcf:field>
+ <bcf:field fieldtype="field" format="xsv" datatype="option" skip_output="true">options</bcf:field>
+ <bcf:field fieldtype="field" format="xsv" datatype="option" skip_output="true">relatedoptions</bcf:field>
+ <bcf:field fieldtype="field" datatype="range">pages</bcf:field>
+ <bcf:field fieldtype="field" datatype="code">execute</bcf:field>
+ </bcf:fields>
+ <bcf:entryfields>
+ <bcf:field>abstract</bcf:field>
+ <bcf:field>annotation</bcf:field>
+ <bcf:field>authortype</bcf:field>
+ <bcf:field>bookpagination</bcf:field>
+ <bcf:field>crossref</bcf:field>
+ <bcf:field>day</bcf:field>
+ <bcf:field>doi</bcf:field>
+ <bcf:field>eprint</bcf:field>
+ <bcf:field>eprintclass</bcf:field>
+ <bcf:field>eprinttype</bcf:field>
+ <bcf:field>endday</bcf:field>
+ <bcf:field>endhour</bcf:field>
+ <bcf:field>endminute</bcf:field>
+ <bcf:field>endmonth</bcf:field>
+ <bcf:field>endsecond</bcf:field>
+ <bcf:field>endtimezone</bcf:field>
+ <bcf:field>endyear</bcf:field>
+ <bcf:field>endyeardivision</bcf:field>
+ <bcf:field>entryset</bcf:field>
+ <bcf:field>entrysubtype</bcf:field>
+ <bcf:field>execute</bcf:field>
+ <bcf:field>file</bcf:field>
+ <bcf:field>gender</bcf:field>
+ <bcf:field>hour</bcf:field>
+ <bcf:field>ids</bcf:field>
+ <bcf:field>indextitle</bcf:field>
+ <bcf:field>indexsorttitle</bcf:field>
+ <bcf:field>isan</bcf:field>
+ <bcf:field>ismn</bcf:field>
+ <bcf:field>iswc</bcf:field>
+ <bcf:field>keywords</bcf:field>
+ <bcf:field>label</bcf:field>
+ <bcf:field>langid</bcf:field>
+ <bcf:field>langidopts</bcf:field>
+ <bcf:field>library</bcf:field>
+ <bcf:field>lista</bcf:field>
+ <bcf:field>listb</bcf:field>
+ <bcf:field>listc</bcf:field>
+ <bcf:field>listd</bcf:field>
+ <bcf:field>liste</bcf:field>
+ <bcf:field>listf</bcf:field>
+ <bcf:field>minute</bcf:field>
+ <bcf:field>month</bcf:field>
+ <bcf:field>namea</bcf:field>
+ <bcf:field>nameb</bcf:field>
+ <bcf:field>namec</bcf:field>
+ <bcf:field>nameatype</bcf:field>
+ <bcf:field>namebtype</bcf:field>
+ <bcf:field>namectype</bcf:field>
+ <bcf:field>nameaddon</bcf:field>
+ <bcf:field>options</bcf:field>
+ <bcf:field>origday</bcf:field>
+ <bcf:field>origendday</bcf:field>
+ <bcf:field>origendhour</bcf:field>
+ <bcf:field>origendminute</bcf:field>
+ <bcf:field>origendmonth</bcf:field>
+ <bcf:field>origendsecond</bcf:field>
+ <bcf:field>origendtimezone</bcf:field>
+ <bcf:field>origendyear</bcf:field>
+ <bcf:field>origendyeardivision</bcf:field>
+ <bcf:field>orighour</bcf:field>
+ <bcf:field>origminute</bcf:field>
+ <bcf:field>origmonth</bcf:field>
+ <bcf:field>origsecond</bcf:field>
+ <bcf:field>origtimezone</bcf:field>
+ <bcf:field>origyear</bcf:field>
+ <bcf:field>origyeardivision</bcf:field>
+ <bcf:field>origlocation</bcf:field>
+ <bcf:field>origpublisher</bcf:field>
+ <bcf:field>origtitle</bcf:field>
+ <bcf:field>pagination</bcf:field>
+ <bcf:field>presort</bcf:field>
+ <bcf:field>related</bcf:field>
+ <bcf:field>relatedoptions</bcf:field>
+ <bcf:field>relatedstring</bcf:field>
+ <bcf:field>relatedtype</bcf:field>
+ <bcf:field>second</bcf:field>
+ <bcf:field>shortauthor</bcf:field>
+ <bcf:field>shorteditor</bcf:field>
+ <bcf:field>shorthand</bcf:field>
+ <bcf:field>shorthandintro</bcf:field>
+ <bcf:field>shortjournal</bcf:field>
+ <bcf:field>shortseries</bcf:field>
+ <bcf:field>shorttitle</bcf:field>
+ <bcf:field>sortkey</bcf:field>
+ <bcf:field>sortname</bcf:field>
+ <bcf:field>sortshorthand</bcf:field>
+ <bcf:field>sorttitle</bcf:field>
+ <bcf:field>sortyear</bcf:field>
+ <bcf:field>timezone</bcf:field>
+ <bcf:field>url</bcf:field>
+ <bcf:field>urlday</bcf:field>
+ <bcf:field>urlendday</bcf:field>
+ <bcf:field>urlendhour</bcf:field>
+ <bcf:field>urlendminute</bcf:field>
+ <bcf:field>urlendmonth</bcf:field>
+ <bcf:field>urlendsecond</bcf:field>
+ <bcf:field>urlendtimezone</bcf:field>
+ <bcf:field>urlendyear</bcf:field>
+ <bcf:field>urlhour</bcf:field>
+ <bcf:field>urlminute</bcf:field>
+ <bcf:field>urlmonth</bcf:field>
+ <bcf:field>urlsecond</bcf:field>
+ <bcf:field>urltimezone</bcf:field>
+ <bcf:field>urlyear</bcf:field>
+ <bcf:field>usera</bcf:field>
+ <bcf:field>userb</bcf:field>
+ <bcf:field>userc</bcf:field>
+ <bcf:field>userd</bcf:field>
+ <bcf:field>usere</bcf:field>
+ <bcf:field>userf</bcf:field>
+ <bcf:field>verba</bcf:field>
+ <bcf:field>verbb</bcf:field>
+ <bcf:field>verbc</bcf:field>
+ <bcf:field>xdata</bcf:field>
+ <bcf:field>xref</bcf:field>
+ <bcf:field>year</bcf:field>
+ <bcf:field>yeardivision</bcf:field>
+ </bcf:entryfields>
+ <bcf:entryfields>
+ <bcf:entrytype>set</bcf:entrytype>
+ <bcf:field>entryset</bcf:field>
+ </bcf:entryfields>
+ <bcf:entryfields>
+ <bcf:entrytype>article</bcf:entrytype>
+ <bcf:field>addendum</bcf:field>
+ <bcf:field>annotator</bcf:field>
+ <bcf:field>author</bcf:field>
+ <bcf:field>commentator</bcf:field>
+ <bcf:field>editor</bcf:field>
+ <bcf:field>editora</bcf:field>
+ <bcf:field>editorb</bcf:field>
+ <bcf:field>editorc</bcf:field>
+ <bcf:field>editortype</bcf:field>
+ <bcf:field>editoratype</bcf:field>
+ <bcf:field>editorbtype</bcf:field>
+ <bcf:field>editorctype</bcf:field>
+ <bcf:field>eid</bcf:field>
+ <bcf:field>issn</bcf:field>
+ <bcf:field>issue</bcf:field>
+ <bcf:field>issuetitle</bcf:field>
+ <bcf:field>issuesubtitle</bcf:field>
+ <bcf:field>issuetitleaddon</bcf:field>
+ <bcf:field>journalsubtitle</bcf:field>
+ <bcf:field>journaltitle</bcf:field>
+ <bcf:field>journaltitleaddon</bcf:field>
+ <bcf:field>language</bcf:field>
+ <bcf:field>note</bcf:field>
+ <bcf:field>number</bcf:field>
+ <bcf:field>origlanguage</bcf:field>
+ <bcf:field>pages</bcf:field>
+ <bcf:field>pubstate</bcf:field>
+ <bcf:field>series</bcf:field>
+ <bcf:field>subtitle</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>titleaddon</bcf:field>
+ <bcf:field>translator</bcf:field>
+ <bcf:field>version</bcf:field>
+ <bcf:field>volume</bcf:field>
+ </bcf:entryfields>
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+ <bcf:entrytype>bibnote</bcf:entrytype>
+ <bcf:field>note</bcf:field>
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+ <bcf:field>author</bcf:field>
+ <bcf:field>addendum</bcf:field>
+ <bcf:field>afterword</bcf:field>
+ <bcf:field>annotator</bcf:field>
+ <bcf:field>chapter</bcf:field>
+ <bcf:field>commentator</bcf:field>
+ <bcf:field>edition</bcf:field>
+ <bcf:field>editor</bcf:field>
+ <bcf:field>editora</bcf:field>
+ <bcf:field>editorb</bcf:field>
+ <bcf:field>editorc</bcf:field>
+ <bcf:field>editortype</bcf:field>
+ <bcf:field>editoratype</bcf:field>
+ <bcf:field>editorbtype</bcf:field>
+ <bcf:field>editorctype</bcf:field>
+ <bcf:field>eid</bcf:field>
+ <bcf:field>foreword</bcf:field>
+ <bcf:field>introduction</bcf:field>
+ <bcf:field>isbn</bcf:field>
+ <bcf:field>language</bcf:field>
+ <bcf:field>location</bcf:field>
+ <bcf:field>maintitle</bcf:field>
+ <bcf:field>maintitleaddon</bcf:field>
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+ <bcf:field>note</bcf:field>
+ <bcf:field>number</bcf:field>
+ <bcf:field>origlanguage</bcf:field>
+ <bcf:field>pages</bcf:field>
+ <bcf:field>pagetotal</bcf:field>
+ <bcf:field>part</bcf:field>
+ <bcf:field>publisher</bcf:field>
+ <bcf:field>pubstate</bcf:field>
+ <bcf:field>series</bcf:field>
+ <bcf:field>subtitle</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>titleaddon</bcf:field>
+ <bcf:field>translator</bcf:field>
+ <bcf:field>volume</bcf:field>
+ <bcf:field>volumes</bcf:field>
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+ <bcf:field>addendum</bcf:field>
+ <bcf:field>afterword</bcf:field>
+ <bcf:field>annotator</bcf:field>
+ <bcf:field>author</bcf:field>
+ <bcf:field>commentator</bcf:field>
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+ <bcf:field>editora</bcf:field>
+ <bcf:field>editorb</bcf:field>
+ <bcf:field>editorc</bcf:field>
+ <bcf:field>editortype</bcf:field>
+ <bcf:field>editoratype</bcf:field>
+ <bcf:field>editorbtype</bcf:field>
+ <bcf:field>editorctype</bcf:field>
+ <bcf:field>foreword</bcf:field>
+ <bcf:field>introduction</bcf:field>
+ <bcf:field>isbn</bcf:field>
+ <bcf:field>language</bcf:field>
+ <bcf:field>location</bcf:field>
+ <bcf:field>note</bcf:field>
+ <bcf:field>number</bcf:field>
+ <bcf:field>origlanguage</bcf:field>
+ <bcf:field>pagetotal</bcf:field>
+ <bcf:field>publisher</bcf:field>
+ <bcf:field>pubstate</bcf:field>
+ <bcf:field>series</bcf:field>
+ <bcf:field>subtitle</bcf:field>
+ <bcf:field>title</bcf:field>
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+ <bcf:field>translator</bcf:field>
+ <bcf:field>volume</bcf:field>
+ <bcf:field>volumes</bcf:field>
+ </bcf:entryfields>
+ <bcf:entryfields>
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+ <bcf:entrytype>bookinbook</bcf:entrytype>
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+ <bcf:field>addendum</bcf:field>
+ <bcf:field>afterword</bcf:field>
+ <bcf:field>annotator</bcf:field>
+ <bcf:field>author</bcf:field>
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+ <bcf:field>bookauthor</bcf:field>
+ <bcf:field>booksubtitle</bcf:field>
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+ <bcf:field>chapter</bcf:field>
+ <bcf:field>commentator</bcf:field>
+ <bcf:field>edition</bcf:field>
+ <bcf:field>editor</bcf:field>
+ <bcf:field>editora</bcf:field>
+ <bcf:field>editorb</bcf:field>
+ <bcf:field>editorc</bcf:field>
+ <bcf:field>editortype</bcf:field>
+ <bcf:field>editoratype</bcf:field>
+ <bcf:field>editorbtype</bcf:field>
+ <bcf:field>editorctype</bcf:field>
+ <bcf:field>eid</bcf:field>
+ <bcf:field>foreword</bcf:field>
+ <bcf:field>introduction</bcf:field>
+ <bcf:field>isbn</bcf:field>
+ <bcf:field>language</bcf:field>
+ <bcf:field>location</bcf:field>
+ <bcf:field>mainsubtitle</bcf:field>
+ <bcf:field>maintitle</bcf:field>
+ <bcf:field>maintitleaddon</bcf:field>
+ <bcf:field>note</bcf:field>
+ <bcf:field>number</bcf:field>
+ <bcf:field>origlanguage</bcf:field>
+ <bcf:field>part</bcf:field>
+ <bcf:field>publisher</bcf:field>
+ <bcf:field>pages</bcf:field>
+ <bcf:field>pubstate</bcf:field>
+ <bcf:field>series</bcf:field>
+ <bcf:field>subtitle</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>titleaddon</bcf:field>
+ <bcf:field>translator</bcf:field>
+ <bcf:field>volume</bcf:field>
+ <bcf:field>volumes</bcf:field>
+ </bcf:entryfields>
+ <bcf:entryfields>
+ <bcf:entrytype>booklet</bcf:entrytype>
+ <bcf:field>addendum</bcf:field>
+ <bcf:field>author</bcf:field>
+ <bcf:field>chapter</bcf:field>
+ <bcf:field>editor</bcf:field>
+ <bcf:field>editortype</bcf:field>
+ <bcf:field>eid</bcf:field>
+ <bcf:field>howpublished</bcf:field>
+ <bcf:field>language</bcf:field>
+ <bcf:field>location</bcf:field>
+ <bcf:field>note</bcf:field>
+ <bcf:field>pages</bcf:field>
+ <bcf:field>pagetotal</bcf:field>
+ <bcf:field>pubstate</bcf:field>
+ <bcf:field>subtitle</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>titleaddon</bcf:field>
+ <bcf:field>type</bcf:field>
+ </bcf:entryfields>
+ <bcf:entryfields>
+ <bcf:entrytype>collection</bcf:entrytype>
+ <bcf:entrytype>reference</bcf:entrytype>
+ <bcf:field>addendum</bcf:field>
+ <bcf:field>afterword</bcf:field>
+ <bcf:field>annotator</bcf:field>
+ <bcf:field>chapter</bcf:field>
+ <bcf:field>commentator</bcf:field>
+ <bcf:field>edition</bcf:field>
+ <bcf:field>editor</bcf:field>
+ <bcf:field>editora</bcf:field>
+ <bcf:field>editorb</bcf:field>
+ <bcf:field>editorc</bcf:field>
+ <bcf:field>editortype</bcf:field>
+ <bcf:field>editoratype</bcf:field>
+ <bcf:field>editorbtype</bcf:field>
+ <bcf:field>editorctype</bcf:field>
+ <bcf:field>eid</bcf:field>
+ <bcf:field>foreword</bcf:field>
+ <bcf:field>introduction</bcf:field>
+ <bcf:field>isbn</bcf:field>
+ <bcf:field>language</bcf:field>
+ <bcf:field>location</bcf:field>
+ <bcf:field>mainsubtitle</bcf:field>
+ <bcf:field>maintitle</bcf:field>
+ <bcf:field>maintitleaddon</bcf:field>
+ <bcf:field>note</bcf:field>
+ <bcf:field>number</bcf:field>
+ <bcf:field>origlanguage</bcf:field>
+ <bcf:field>pages</bcf:field>
+ <bcf:field>pagetotal</bcf:field>
+ <bcf:field>part</bcf:field>
+ <bcf:field>publisher</bcf:field>
+ <bcf:field>pubstate</bcf:field>
+ <bcf:field>series</bcf:field>
+ <bcf:field>subtitle</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>titleaddon</bcf:field>
+ <bcf:field>translator</bcf:field>
+ <bcf:field>volume</bcf:field>
+ <bcf:field>volumes</bcf:field>
+ </bcf:entryfields>
+ <bcf:entryfields>
+ <bcf:entrytype>mvcollection</bcf:entrytype>
+ <bcf:entrytype>mvreference</bcf:entrytype>
+ <bcf:field>addendum</bcf:field>
+ <bcf:field>afterword</bcf:field>
+ <bcf:field>annotator</bcf:field>
+ <bcf:field>author</bcf:field>
+ <bcf:field>commentator</bcf:field>
+ <bcf:field>edition</bcf:field>
+ <bcf:field>editor</bcf:field>
+ <bcf:field>editora</bcf:field>
+ <bcf:field>editorb</bcf:field>
+ <bcf:field>editorc</bcf:field>
+ <bcf:field>editortype</bcf:field>
+ <bcf:field>editoratype</bcf:field>
+ <bcf:field>editorbtype</bcf:field>
+ <bcf:field>editorctype</bcf:field>
+ <bcf:field>foreword</bcf:field>
+ <bcf:field>introduction</bcf:field>
+ <bcf:field>isbn</bcf:field>
+ <bcf:field>language</bcf:field>
+ <bcf:field>location</bcf:field>
+ <bcf:field>note</bcf:field>
+ <bcf:field>number</bcf:field>
+ <bcf:field>origlanguage</bcf:field>
+ <bcf:field>publisher</bcf:field>
+ <bcf:field>pubstate</bcf:field>
+ <bcf:field>subtitle</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>titleaddon</bcf:field>
+ <bcf:field>translator</bcf:field>
+ <bcf:field>volume</bcf:field>
+ <bcf:field>volumes</bcf:field>
+ </bcf:entryfields>
+ <bcf:entryfields>
+ <bcf:entrytype>incollection</bcf:entrytype>
+ <bcf:entrytype>suppcollection</bcf:entrytype>
+ <bcf:entrytype>inreference</bcf:entrytype>
+ <bcf:field>addendum</bcf:field>
+ <bcf:field>afterword</bcf:field>
+ <bcf:field>annotator</bcf:field>
+ <bcf:field>author</bcf:field>
+ <bcf:field>booksubtitle</bcf:field>
+ <bcf:field>booktitle</bcf:field>
+ <bcf:field>booktitleaddon</bcf:field>
+ <bcf:field>chapter</bcf:field>
+ <bcf:field>commentator</bcf:field>
+ <bcf:field>edition</bcf:field>
+ <bcf:field>editor</bcf:field>
+ <bcf:field>editora</bcf:field>
+ <bcf:field>editorb</bcf:field>
+ <bcf:field>editorc</bcf:field>
+ <bcf:field>editortype</bcf:field>
+ <bcf:field>editoratype</bcf:field>
+ <bcf:field>editorbtype</bcf:field>
+ <bcf:field>editorctype</bcf:field>
+ <bcf:field>eid</bcf:field>
+ <bcf:field>foreword</bcf:field>
+ <bcf:field>introduction</bcf:field>
+ <bcf:field>isbn</bcf:field>
+ <bcf:field>language</bcf:field>
+ <bcf:field>location</bcf:field>
+ <bcf:field>mainsubtitle</bcf:field>
+ <bcf:field>maintitle</bcf:field>
+ <bcf:field>maintitleaddon</bcf:field>
+ <bcf:field>note</bcf:field>
+ <bcf:field>number</bcf:field>
+ <bcf:field>origlanguage</bcf:field>
+ <bcf:field>pages</bcf:field>
+ <bcf:field>part</bcf:field>
+ <bcf:field>publisher</bcf:field>
+ <bcf:field>pubstate</bcf:field>
+ <bcf:field>series</bcf:field>
+ <bcf:field>subtitle</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>titleaddon</bcf:field>
+ <bcf:field>translator</bcf:field>
+ <bcf:field>volume</bcf:field>
+ <bcf:field>volumes</bcf:field>
+ </bcf:entryfields>
+ <bcf:entryfields>
+ <bcf:entrytype>dataset</bcf:entrytype>
+ <bcf:field>addendum</bcf:field>
+ <bcf:field>author</bcf:field>
+ <bcf:field>edition</bcf:field>
+ <bcf:field>editor</bcf:field>
+ <bcf:field>editortype</bcf:field>
+ <bcf:field>language</bcf:field>
+ <bcf:field>location</bcf:field>
+ <bcf:field>note</bcf:field>
+ <bcf:field>number</bcf:field>
+ <bcf:field>organization</bcf:field>
+ <bcf:field>publisher</bcf:field>
+ <bcf:field>pubstate</bcf:field>
+ <bcf:field>series</bcf:field>
+ <bcf:field>subtitle</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>titleaddon</bcf:field>
+ <bcf:field>type</bcf:field>
+ <bcf:field>version</bcf:field>
+ </bcf:entryfields>
+ <bcf:entryfields>
+ <bcf:entrytype>manual</bcf:entrytype>
+ <bcf:field>addendum</bcf:field>
+ <bcf:field>author</bcf:field>
+ <bcf:field>chapter</bcf:field>
+ <bcf:field>edition</bcf:field>
+ <bcf:field>editor</bcf:field>
+ <bcf:field>editortype</bcf:field>
+ <bcf:field>eid</bcf:field>
+ <bcf:field>isbn</bcf:field>
+ <bcf:field>language</bcf:field>
+ <bcf:field>location</bcf:field>
+ <bcf:field>note</bcf:field>
+ <bcf:field>number</bcf:field>
+ <bcf:field>organization</bcf:field>
+ <bcf:field>pages</bcf:field>
+ <bcf:field>pagetotal</bcf:field>
+ <bcf:field>publisher</bcf:field>
+ <bcf:field>pubstate</bcf:field>
+ <bcf:field>series</bcf:field>
+ <bcf:field>subtitle</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>titleaddon</bcf:field>
+ <bcf:field>type</bcf:field>
+ <bcf:field>version</bcf:field>
+ </bcf:entryfields>
+ <bcf:entryfields>
+ <bcf:entrytype>misc</bcf:entrytype>
+ <bcf:entrytype>software</bcf:entrytype>
+ <bcf:field>addendum</bcf:field>
+ <bcf:field>author</bcf:field>
+ <bcf:field>editor</bcf:field>
+ <bcf:field>editortype</bcf:field>
+ <bcf:field>howpublished</bcf:field>
+ <bcf:field>language</bcf:field>
+ <bcf:field>location</bcf:field>
+ <bcf:field>note</bcf:field>
+ <bcf:field>organization</bcf:field>
+ <bcf:field>pubstate</bcf:field>
+ <bcf:field>subtitle</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>titleaddon</bcf:field>
+ <bcf:field>type</bcf:field>
+ <bcf:field>version</bcf:field>
+ </bcf:entryfields>
+ <bcf:entryfields>
+ <bcf:entrytype>online</bcf:entrytype>
+ <bcf:field>addendum</bcf:field>
+ <bcf:field>author</bcf:field>
+ <bcf:field>editor</bcf:field>
+ <bcf:field>editortype</bcf:field>
+ <bcf:field>language</bcf:field>
+ <bcf:field>note</bcf:field>
+ <bcf:field>organization</bcf:field>
+ <bcf:field>pubstate</bcf:field>
+ <bcf:field>subtitle</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>titleaddon</bcf:field>
+ <bcf:field>version</bcf:field>
+ </bcf:entryfields>
+ <bcf:entryfields>
+ <bcf:entrytype>patent</bcf:entrytype>
+ <bcf:field>addendum</bcf:field>
+ <bcf:field>author</bcf:field>
+ <bcf:field>holder</bcf:field>
+ <bcf:field>location</bcf:field>
+ <bcf:field>note</bcf:field>
+ <bcf:field>number</bcf:field>
+ <bcf:field>pubstate</bcf:field>
+ <bcf:field>subtitle</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>titleaddon</bcf:field>
+ <bcf:field>type</bcf:field>
+ <bcf:field>version</bcf:field>
+ </bcf:entryfields>
+ <bcf:entryfields>
+ <bcf:entrytype>periodical</bcf:entrytype>
+ <bcf:field>addendum</bcf:field>
+ <bcf:field>editor</bcf:field>
+ <bcf:field>editora</bcf:field>
+ <bcf:field>editorb</bcf:field>
+ <bcf:field>editorc</bcf:field>
+ <bcf:field>editortype</bcf:field>
+ <bcf:field>editoratype</bcf:field>
+ <bcf:field>editorbtype</bcf:field>
+ <bcf:field>editorctype</bcf:field>
+ <bcf:field>issn</bcf:field>
+ <bcf:field>issue</bcf:field>
+ <bcf:field>issuesubtitle</bcf:field>
+ <bcf:field>issuetitle</bcf:field>
+ <bcf:field>issuetitleaddon</bcf:field>
+ <bcf:field>language</bcf:field>
+ <bcf:field>note</bcf:field>
+ <bcf:field>number</bcf:field>
+ <bcf:field>pubstate</bcf:field>
+ <bcf:field>series</bcf:field>
+ <bcf:field>subtitle</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>titleaddon</bcf:field>
+ <bcf:field>volume</bcf:field>
+ <bcf:field>yeardivision</bcf:field>
+ </bcf:entryfields>
+ <bcf:entryfields>
+ <bcf:entrytype>mvproceedings</bcf:entrytype>
+ <bcf:field>addendum</bcf:field>
+ <bcf:field>editor</bcf:field>
+ <bcf:field>editortype</bcf:field>
+ <bcf:field>eventday</bcf:field>
+ <bcf:field>eventendday</bcf:field>
+ <bcf:field>eventendhour</bcf:field>
+ <bcf:field>eventendminute</bcf:field>
+ <bcf:field>eventendmonth</bcf:field>
+ <bcf:field>eventendsecond</bcf:field>
+ <bcf:field>eventendtimezone</bcf:field>
+ <bcf:field>eventendyear</bcf:field>
+ <bcf:field>eventendyeardivision</bcf:field>
+ <bcf:field>eventhour</bcf:field>
+ <bcf:field>eventminute</bcf:field>
+ <bcf:field>eventmonth</bcf:field>
+ <bcf:field>eventsecond</bcf:field>
+ <bcf:field>eventtimezone</bcf:field>
+ <bcf:field>eventyear</bcf:field>
+ <bcf:field>eventyeardivision</bcf:field>
+ <bcf:field>eventtitle</bcf:field>
+ <bcf:field>eventtitleaddon</bcf:field>
+ <bcf:field>isbn</bcf:field>
+ <bcf:field>language</bcf:field>
+ <bcf:field>location</bcf:field>
+ <bcf:field>note</bcf:field>
+ <bcf:field>number</bcf:field>
+ <bcf:field>organization</bcf:field>
+ <bcf:field>pagetotal</bcf:field>
+ <bcf:field>publisher</bcf:field>
+ <bcf:field>pubstate</bcf:field>
+ <bcf:field>series</bcf:field>
+ <bcf:field>subtitle</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>titleaddon</bcf:field>
+ <bcf:field>venue</bcf:field>
+ <bcf:field>volumes</bcf:field>
+ </bcf:entryfields>
+ <bcf:entryfields>
+ <bcf:entrytype>proceedings</bcf:entrytype>
+ <bcf:field>addendum</bcf:field>
+ <bcf:field>chapter</bcf:field>
+ <bcf:field>editor</bcf:field>
+ <bcf:field>editortype</bcf:field>
+ <bcf:field>eid</bcf:field>
+ <bcf:field>eventday</bcf:field>
+ <bcf:field>eventendday</bcf:field>
+ <bcf:field>eventendhour</bcf:field>
+ <bcf:field>eventendminute</bcf:field>
+ <bcf:field>eventendmonth</bcf:field>
+ <bcf:field>eventendsecond</bcf:field>
+ <bcf:field>eventendtimezone</bcf:field>
+ <bcf:field>eventendyear</bcf:field>
+ <bcf:field>eventendyeardivision</bcf:field>
+ <bcf:field>eventhour</bcf:field>
+ <bcf:field>eventminute</bcf:field>
+ <bcf:field>eventmonth</bcf:field>
+ <bcf:field>eventsecond</bcf:field>
+ <bcf:field>eventtimezone</bcf:field>
+ <bcf:field>eventyear</bcf:field>
+ <bcf:field>eventyeardivision</bcf:field>
+ <bcf:field>eventtitle</bcf:field>
+ <bcf:field>eventtitleaddon</bcf:field>
+ <bcf:field>isbn</bcf:field>
+ <bcf:field>language</bcf:field>
+ <bcf:field>location</bcf:field>
+ <bcf:field>mainsubtitle</bcf:field>
+ <bcf:field>maintitle</bcf:field>
+ <bcf:field>maintitleaddon</bcf:field>
+ <bcf:field>note</bcf:field>
+ <bcf:field>number</bcf:field>
+ <bcf:field>organization</bcf:field>
+ <bcf:field>pages</bcf:field>
+ <bcf:field>pagetotal</bcf:field>
+ <bcf:field>part</bcf:field>
+ <bcf:field>publisher</bcf:field>
+ <bcf:field>pubstate</bcf:field>
+ <bcf:field>series</bcf:field>
+ <bcf:field>subtitle</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>titleaddon</bcf:field>
+ <bcf:field>venue</bcf:field>
+ <bcf:field>volume</bcf:field>
+ <bcf:field>volumes</bcf:field>
+ </bcf:entryfields>
+ <bcf:entryfields>
+ <bcf:entrytype>inproceedings</bcf:entrytype>
+ <bcf:field>addendum</bcf:field>
+ <bcf:field>author</bcf:field>
+ <bcf:field>booksubtitle</bcf:field>
+ <bcf:field>booktitle</bcf:field>
+ <bcf:field>booktitleaddon</bcf:field>
+ <bcf:field>chapter</bcf:field>
+ <bcf:field>editor</bcf:field>
+ <bcf:field>editortype</bcf:field>
+ <bcf:field>eid</bcf:field>
+ <bcf:field>eventday</bcf:field>
+ <bcf:field>eventendday</bcf:field>
+ <bcf:field>eventendhour</bcf:field>
+ <bcf:field>eventendminute</bcf:field>
+ <bcf:field>eventendmonth</bcf:field>
+ <bcf:field>eventendsecond</bcf:field>
+ <bcf:field>eventendtimezone</bcf:field>
+ <bcf:field>eventendyear</bcf:field>
+ <bcf:field>eventendyeardivision</bcf:field>
+ <bcf:field>eventhour</bcf:field>
+ <bcf:field>eventminute</bcf:field>
+ <bcf:field>eventmonth</bcf:field>
+ <bcf:field>eventsecond</bcf:field>
+ <bcf:field>eventtimezone</bcf:field>
+ <bcf:field>eventyear</bcf:field>
+ <bcf:field>eventyeardivision</bcf:field>
+ <bcf:field>eventtitle</bcf:field>
+ <bcf:field>eventtitleaddon</bcf:field>
+ <bcf:field>isbn</bcf:field>
+ <bcf:field>language</bcf:field>
+ <bcf:field>location</bcf:field>
+ <bcf:field>mainsubtitle</bcf:field>
+ <bcf:field>maintitle</bcf:field>
+ <bcf:field>maintitleaddon</bcf:field>
+ <bcf:field>note</bcf:field>
+ <bcf:field>number</bcf:field>
+ <bcf:field>organization</bcf:field>
+ <bcf:field>pages</bcf:field>
+ <bcf:field>part</bcf:field>
+ <bcf:field>publisher</bcf:field>
+ <bcf:field>pubstate</bcf:field>
+ <bcf:field>series</bcf:field>
+ <bcf:field>subtitle</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>titleaddon</bcf:field>
+ <bcf:field>venue</bcf:field>
+ <bcf:field>volume</bcf:field>
+ <bcf:field>volumes</bcf:field>
+ </bcf:entryfields>
+ <bcf:entryfields>
+ <bcf:entrytype>report</bcf:entrytype>
+ <bcf:field>addendum</bcf:field>
+ <bcf:field>author</bcf:field>
+ <bcf:field>chapter</bcf:field>
+ <bcf:field>eid</bcf:field>
+ <bcf:field>institution</bcf:field>
+ <bcf:field>isrn</bcf:field>
+ <bcf:field>language</bcf:field>
+ <bcf:field>location</bcf:field>
+ <bcf:field>note</bcf:field>
+ <bcf:field>number</bcf:field>
+ <bcf:field>pages</bcf:field>
+ <bcf:field>pagetotal</bcf:field>
+ <bcf:field>pubstate</bcf:field>
+ <bcf:field>subtitle</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>titleaddon</bcf:field>
+ <bcf:field>type</bcf:field>
+ <bcf:field>version</bcf:field>
+ </bcf:entryfields>
+ <bcf:entryfields>
+ <bcf:entrytype>thesis</bcf:entrytype>
+ <bcf:field>addendum</bcf:field>
+ <bcf:field>author</bcf:field>
+ <bcf:field>chapter</bcf:field>
+ <bcf:field>eid</bcf:field>
+ <bcf:field>institution</bcf:field>
+ <bcf:field>language</bcf:field>
+ <bcf:field>location</bcf:field>
+ <bcf:field>note</bcf:field>
+ <bcf:field>pages</bcf:field>
+ <bcf:field>pagetotal</bcf:field>
+ <bcf:field>pubstate</bcf:field>
+ <bcf:field>subtitle</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>titleaddon</bcf:field>
+ <bcf:field>type</bcf:field>
+ </bcf:entryfields>
+ <bcf:entryfields>
+ <bcf:entrytype>unpublished</bcf:entrytype>
+ <bcf:field>addendum</bcf:field>
+ <bcf:field>author</bcf:field>
+ <bcf:field>eventday</bcf:field>
+ <bcf:field>eventendday</bcf:field>
+ <bcf:field>eventendhour</bcf:field>
+ <bcf:field>eventendminute</bcf:field>
+ <bcf:field>eventendmonth</bcf:field>
+ <bcf:field>eventendsecond</bcf:field>
+ <bcf:field>eventendtimezone</bcf:field>
+ <bcf:field>eventendyear</bcf:field>
+ <bcf:field>eventendyeardivision</bcf:field>
+ <bcf:field>eventhour</bcf:field>
+ <bcf:field>eventminute</bcf:field>
+ <bcf:field>eventmonth</bcf:field>
+ <bcf:field>eventsecond</bcf:field>
+ <bcf:field>eventtimezone</bcf:field>
+ <bcf:field>eventyear</bcf:field>
+ <bcf:field>eventyeardivision</bcf:field>
+ <bcf:field>eventtitle</bcf:field>
+ <bcf:field>eventtitleaddon</bcf:field>
+ <bcf:field>howpublished</bcf:field>
+ <bcf:field>language</bcf:field>
+ <bcf:field>location</bcf:field>
+ <bcf:field>note</bcf:field>
+ <bcf:field>pubstate</bcf:field>
+ <bcf:field>subtitle</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>titleaddon</bcf:field>
+ <bcf:field>type</bcf:field>
+ <bcf:field>venue</bcf:field>
+ </bcf:entryfields>
+ <bcf:multiscriptfields>
+ <bcf:field>abstract</bcf:field>
+ <bcf:field>addendum</bcf:field>
+ <bcf:field>afterword</bcf:field>
+ <bcf:field>annotator</bcf:field>
+ <bcf:field>author</bcf:field>
+ <bcf:field>bookauthor</bcf:field>
+ <bcf:field>booksubtitle</bcf:field>
+ <bcf:field>booktitle</bcf:field>
+ <bcf:field>booktitleaddon</bcf:field>
+ <bcf:field>chapter</bcf:field>
+ <bcf:field>commentator</bcf:field>
+ <bcf:field>editor</bcf:field>
+ <bcf:field>editora</bcf:field>
+ <bcf:field>editorb</bcf:field>
+ <bcf:field>editorc</bcf:field>
+ <bcf:field>foreword</bcf:field>
+ <bcf:field>holder</bcf:field>
+ <bcf:field>institution</bcf:field>
+ <bcf:field>introduction</bcf:field>
+ <bcf:field>issuesubtitle</bcf:field>
+ <bcf:field>issuetitle</bcf:field>
+ <bcf:field>issuetitleaddon</bcf:field>
+ <bcf:field>journalsubtitle</bcf:field>
+ <bcf:field>journaltitle</bcf:field>
+ <bcf:field>journaltitleaddon</bcf:field>
+ <bcf:field>location</bcf:field>
+ <bcf:field>mainsubtitle</bcf:field>
+ <bcf:field>maintitle</bcf:field>
+ <bcf:field>maintitleaddon</bcf:field>
+ <bcf:field>nameaddon</bcf:field>
+ <bcf:field>note</bcf:field>
+ <bcf:field>organization</bcf:field>
+ <bcf:field>origlanguage</bcf:field>
+ <bcf:field>origlocation</bcf:field>
+ <bcf:field>origpublisher</bcf:field>
+ <bcf:field>origtitle</bcf:field>
+ <bcf:field>part</bcf:field>
+ <bcf:field>publisher</bcf:field>
+ <bcf:field>relatedstring</bcf:field>
+ <bcf:field>series</bcf:field>
+ <bcf:field>shortauthor</bcf:field>
+ <bcf:field>shorteditor</bcf:field>
+ <bcf:field>shorthand</bcf:field>
+ <bcf:field>shortjournal</bcf:field>
+ <bcf:field>shortseries</bcf:field>
+ <bcf:field>shorttitle</bcf:field>
+ <bcf:field>sortname</bcf:field>
+ <bcf:field>sortshorthand</bcf:field>
+ <bcf:field>sorttitle</bcf:field>
+ <bcf:field>subtitle</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>titleaddon</bcf:field>
+ <bcf:field>translator</bcf:field>
+ <bcf:field>venue</bcf:field>
+ </bcf:multiscriptfields>
+ <bcf:constraints>
+ <bcf:entrytype>article</bcf:entrytype>
+ <bcf:entrytype>book</bcf:entrytype>
+ <bcf:entrytype>inbook</bcf:entrytype>
+ <bcf:entrytype>bookinbook</bcf:entrytype>
+ <bcf:entrytype>suppbook</bcf:entrytype>
+ <bcf:entrytype>booklet</bcf:entrytype>
+ <bcf:entrytype>collection</bcf:entrytype>
+ <bcf:entrytype>incollection</bcf:entrytype>
+ <bcf:entrytype>suppcollection</bcf:entrytype>
+ <bcf:entrytype>manual</bcf:entrytype>
+ <bcf:entrytype>misc</bcf:entrytype>
+ <bcf:entrytype>mvbook</bcf:entrytype>
+ <bcf:entrytype>mvcollection</bcf:entrytype>
+ <bcf:entrytype>online</bcf:entrytype>
+ <bcf:entrytype>patent</bcf:entrytype>
+ <bcf:entrytype>periodical</bcf:entrytype>
+ <bcf:entrytype>suppperiodical</bcf:entrytype>
+ <bcf:entrytype>proceedings</bcf:entrytype>
+ <bcf:entrytype>inproceedings</bcf:entrytype>
+ <bcf:entrytype>reference</bcf:entrytype>
+ <bcf:entrytype>inreference</bcf:entrytype>
+ <bcf:entrytype>report</bcf:entrytype>
+ <bcf:entrytype>set</bcf:entrytype>
+ <bcf:entrytype>thesis</bcf:entrytype>
+ <bcf:entrytype>unpublished</bcf:entrytype>
+ <bcf:constraint type="mandatory">
+ <bcf:fieldxor>
+ <bcf:field>date</bcf:field>
+ <bcf:field>year</bcf:field>
+ </bcf:fieldxor>
+ </bcf:constraint>
+ </bcf:constraints>
+ <bcf:constraints>
+ <bcf:entrytype>set</bcf:entrytype>
+ <bcf:constraint type="mandatory">
+ <bcf:field>entryset</bcf:field>
+ </bcf:constraint>
+ </bcf:constraints>
+ <bcf:constraints>
+ <bcf:entrytype>article</bcf:entrytype>
+ <bcf:constraint type="mandatory">
+ <bcf:field>author</bcf:field>
+ <bcf:field>journaltitle</bcf:field>
+ <bcf:field>title</bcf:field>
+ </bcf:constraint>
+ </bcf:constraints>
+ <bcf:constraints>
+ <bcf:entrytype>book</bcf:entrytype>
+ <bcf:entrytype>mvbook</bcf:entrytype>
+ <bcf:constraint type="mandatory">
+ <bcf:field>author</bcf:field>
+ <bcf:field>title</bcf:field>
+ </bcf:constraint>
+ </bcf:constraints>
+ <bcf:constraints>
+ <bcf:entrytype>inbook</bcf:entrytype>
+ <bcf:entrytype>bookinbook</bcf:entrytype>
+ <bcf:entrytype>suppbook</bcf:entrytype>
+ <bcf:constraint type="mandatory">
+ <bcf:field>author</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>booktitle</bcf:field>
+ </bcf:constraint>
+ </bcf:constraints>
+ <bcf:constraints>
+ <bcf:entrytype>booklet</bcf:entrytype>
+ <bcf:constraint type="mandatory">
+ <bcf:fieldor>
+ <bcf:field>author</bcf:field>
+ <bcf:field>editor</bcf:field>
+ </bcf:fieldor>
+ <bcf:field>title</bcf:field>
+ </bcf:constraint>
+ </bcf:constraints>
+ <bcf:constraints>
+ <bcf:entrytype>collection</bcf:entrytype>
+ <bcf:entrytype>reference</bcf:entrytype>
+ <bcf:entrytype>mvcollection</bcf:entrytype>
+ <bcf:entrytype>mvreference</bcf:entrytype>
+ <bcf:constraint type="mandatory">
+ <bcf:field>editor</bcf:field>
+ <bcf:field>title</bcf:field>
+ </bcf:constraint>
+ </bcf:constraints>
+ <bcf:constraints>
+ <bcf:entrytype>incollection</bcf:entrytype>
+ <bcf:entrytype>suppcollection</bcf:entrytype>
+ <bcf:entrytype>inreference</bcf:entrytype>
+ <bcf:constraint type="mandatory">
+ <bcf:field>author</bcf:field>
+ <bcf:field>editor</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>booktitle</bcf:field>
+ </bcf:constraint>
+ </bcf:constraints>
+ <bcf:constraints>
+ <bcf:entrytype>dataset</bcf:entrytype>
+ <bcf:constraint type="mandatory">
+ <bcf:field>title</bcf:field>
+ </bcf:constraint>
+ </bcf:constraints>
+ <bcf:constraints>
+ <bcf:entrytype>manual</bcf:entrytype>
+ <bcf:constraint type="mandatory">
+ <bcf:field>title</bcf:field>
+ </bcf:constraint>
+ </bcf:constraints>
+ <bcf:constraints>
+ <bcf:entrytype>misc</bcf:entrytype>
+ <bcf:entrytype>software</bcf:entrytype>
+ <bcf:constraint type="mandatory">
+ <bcf:field>title</bcf:field>
+ </bcf:constraint>
+ </bcf:constraints>
+ <bcf:constraints>
+ <bcf:entrytype>online</bcf:entrytype>
+ <bcf:constraint type="mandatory">
+ <bcf:field>title</bcf:field>
+ <bcf:fieldor>
+ <bcf:field>url</bcf:field>
+ <bcf:field>doi</bcf:field>
+ <bcf:field>eprint</bcf:field>
+ </bcf:fieldor>
+ </bcf:constraint>
+ </bcf:constraints>
+ <bcf:constraints>
+ <bcf:entrytype>patent</bcf:entrytype>
+ <bcf:constraint type="mandatory">
+ <bcf:field>author</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>number</bcf:field>
+ </bcf:constraint>
+ </bcf:constraints>
+ <bcf:constraints>
+ <bcf:entrytype>periodical</bcf:entrytype>
+ <bcf:constraint type="mandatory">
+ <bcf:field>editor</bcf:field>
+ <bcf:field>title</bcf:field>
+ </bcf:constraint>
+ </bcf:constraints>
+ <bcf:constraints>
+ <bcf:entrytype>proceedings</bcf:entrytype>
+ <bcf:entrytype>mvproceedings</bcf:entrytype>
+ <bcf:constraint type="mandatory">
+ <bcf:field>title</bcf:field>
+ </bcf:constraint>
+ </bcf:constraints>
+ <bcf:constraints>
+ <bcf:entrytype>inproceedings</bcf:entrytype>
+ <bcf:constraint type="mandatory">
+ <bcf:field>author</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>booktitle</bcf:field>
+ </bcf:constraint>
+ </bcf:constraints>
+ <bcf:constraints>
+ <bcf:entrytype>report</bcf:entrytype>
+ <bcf:constraint type="mandatory">
+ <bcf:field>author</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>type</bcf:field>
+ <bcf:field>institution</bcf:field>
+ </bcf:constraint>
+ </bcf:constraints>
+ <bcf:constraints>
+ <bcf:entrytype>thesis</bcf:entrytype>
+ <bcf:constraint type="mandatory">
+ <bcf:field>author</bcf:field>
+ <bcf:field>title</bcf:field>
+ <bcf:field>type</bcf:field>
+ <bcf:field>institution</bcf:field>
+ </bcf:constraint>
+ </bcf:constraints>
+ <bcf:constraints>
+ <bcf:entrytype>unpublished</bcf:entrytype>
+ <bcf:constraint type="mandatory">
+ <bcf:field>author</bcf:field>
+ <bcf:field>title</bcf:field>
+ </bcf:constraint>
+ </bcf:constraints>
+ <bcf:constraints>
+ <bcf:constraint type="data" datatype="isbn">
+ <bcf:field>isbn</bcf:field>
+ </bcf:constraint>
+ <bcf:constraint type="data" datatype="issn">
+ <bcf:field>issn</bcf:field>
+ </bcf:constraint>
+ <bcf:constraint type="data" datatype="ismn">
+ <bcf:field>ismn</bcf:field>
+ </bcf:constraint>
+ <bcf:constraint type="data" datatype="pattern" pattern="(?:sf|sm|sn|pf|pm|pn|pp)">
+ <bcf:field>gender</bcf:field>
+ </bcf:constraint>
+ </bcf:constraints>
+ </bcf:datamodel>
+ <!-- CITATION DATA -->
+ <!-- SECTION 0 -->
+ <bcf:bibdata section="0">
+ <bcf:datasource type="file" datatype="bibtex" glob="false">bibliography.bib</bcf:datasource>
+ </bcf:bibdata>
+ <bcf:section number="0">
+ </bcf:section>
+ <!-- SORTING TEMPLATES -->
+ <bcf:sortingtemplate name="nty">
+ <bcf:sort order="1">
+ <bcf:sortitem order="1">presort</bcf:sortitem>
+ </bcf:sort>
+ <bcf:sort order="2" final="1">
+ <bcf:sortitem order="1">sortkey</bcf:sortitem>
+ </bcf:sort>
+ <bcf:sort order="3">
+ <bcf:sortitem order="1">sortname</bcf:sortitem>
+ <bcf:sortitem order="2">author</bcf:sortitem>
+ <bcf:sortitem order="3">editor</bcf:sortitem>
+ <bcf:sortitem order="4">translator</bcf:sortitem>
+ <bcf:sortitem order="5">sorttitle</bcf:sortitem>
+ <bcf:sortitem order="6">title</bcf:sortitem>
+ </bcf:sort>
+ <bcf:sort order="4">
+ <bcf:sortitem order="1">sorttitle</bcf:sortitem>
+ <bcf:sortitem order="2">title</bcf:sortitem>
+ </bcf:sort>
+ <bcf:sort order="5">
+ <bcf:sortitem order="1">sortyear</bcf:sortitem>
+ <bcf:sortitem order="2">year</bcf:sortitem>
+ </bcf:sort>
+ <bcf:sort order="6">
+ <bcf:sortitem order="1">volume</bcf:sortitem>
+ <bcf:sortitem literal="1" order="2">0</bcf:sortitem>
+ </bcf:sort>
+ </bcf:sortingtemplate>
+ <!-- DATALISTS -->
+</bcf:controlfile>
diff --git a/Normal/rapport/rendu.fdb_latexmk b/Normal/rapport/rendu.fdb_latexmk
new file mode 100644
index 0000000000000000000000000000000000000000..9ec10e9931464748c34898c79edbc7080b4ae11b
--- /dev/null
+++ b/Normal/rapport/rendu.fdb_latexmk
@@ -0,0 +1,173 @@
+# Fdb version 4
+["biber rendu"] 1696509624 "rendu.bcf" "rendu.bbl" "rendu" 1696509624 0
+ "bibliography.bib" 0 -1 0 ""
+ "rendu.bcf" 1696509620 106841 29b1c44b823bf22e22abdff4796b02e6 "pdflatex"
+ (generated)
+ "rendu.bbl"
+ "rendu.blg"
+ (rewritten before read)
+["pdflatex"] 1696509619 "rendu.tex" "rendu.pdf" "rendu" 1696509624 0
+ "/dev/null" 1696464865 0 d41d8cd98f00b204e9800998ecf8427e ""
+ "/etc/texmf/web2c/texmf.cnf" 1690867925 475 c0e671620eb5563b2130f56340a5fde8 ""
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+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm" 1246382020 1004 54797486969f23fa377b128694d548df ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex8.tfm" 1246382020 988 bdf658c3bfc2d96d3c8b02cfc1c94c20 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmex10.tfm" 1136768653 992 662f679a0b3d2d53c1b94050fdaa3f50 ""
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+ "/usr/share/texlive/texmf-dist/tex/generic/babel/locale/en/babel-en.ini" 1661803479 3966 caeee5a9e5771d4446aa1ca9015ba1b2 ""
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+ "/usr/share/texlive/texmf-dist/tex/generic/babel/xebabel.def" 1672087451 14993 f8bc0e24f901a72dc919d5710ab452b4 ""
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+%%%%%%%%%%%%%%%%%%%%%%%%%%% PACKAGES AND CONFIGS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%article in english
+\documentclass[a4paper,12pt] {article}
+\usepackage[english] {babel}
+%\usepackage[utf8]{inputenc} %we use xelatex
+
+%bibliography
+\usepackage{biblatex}
+\addbibresource{bibliography.bib}
+
+%Images
+\usepackage{float}
+\usepackage{amsmath}
+\usepackage{graphicx}
+\usepackage{url}
+
+%Nice linkss
+\usepackage{hyperref}
+\hypersetup
+{
+ pdftitle = {rapport}, %TODO CHANGE ME !!
+ colorlinks = false,
+ hidelinks = true
+}
+
+%tabular stuff
+\usepackage{array}
+\usepackage{tabularx}
+
+%linespace
+\usepackage{setspace}
+
+%asbtract paging
+%\usepackage{abstract}
+
+%comments
+\usepackage{comment}
+
+%font and geometry settings
+\usepackage[T1]{fontenc}
+\usepackage{fontspec-xetex}
+\usepackage{inconsolata}
+\setmonofont{inconsolata}
+\usepackage[top=2cm, bottom=2.5cm, left=2.5cm, right=2.5cm] {geometry}\pagestyle{plain}
+
+%margin specific
+\usepackage{changepage}
+%image gallery
+%\usepackage{subfig}
+
+%footnote stuff
+%\usepackage[bottom] {footmisc}
+
+%pdf inclusion
+%\usepackage{pdfpages}
+
+%resize sections, subsections...
+
+%watermark
+%\usepackage{draftwatermark}
+
+%footnote numbe
+%\usepackage{perpage}
+
+%Code !
+\usepackage{minted}
+\usemintedstyle{manni}
+\newminted[pycode]{python}
+{
+ framesep=1mm,
+ baselinestretch=1,
+ fontsize=\small,
+ bgcolor=blue!10,
+ %frame=single,
+ linenos
+}
+\usepackage[utf8]{inputenc}
+\usepackage{verbatim}
+\usepackage{csvsimple}
+
+\title{\center{
+ {\small Simulation Informatique et Gestion des Incertitudes\\}
+ Géneration de distribution Normale
+ }}
+\author{Enzo DE CARVALHO}
+\date{}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%% DOCUMENT STARTS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{document}
+\maketitle
+Ce rendu fait suite au second cours de Simulation Informatique et Gestion
+d'Incertitudes sur la loi normale. Le but est ici, à partir d'un générateur de
+nombre aléatoire suivant une loi uniforme, obtenir un générateur de nombre
+aléatoire suivant une loi normale. Pour cela, nous utilisons ici
+\textit{Python}. Le code sur lequel
+ce rendu s'appuie est mis à dispositions dans le dossier
+\texttt{Normal} du dêpot git sur
+\hyperlink{https://git.iiens.net/de-carva2021/SIGI/}{\texttt{https://git.iiens.net/de-carva2021/SIGI/}}
+
+\section{Implémentation}
+Pour générer des nombres aléatoires sous une loi unforme, nous utiliserons
+le générateur de nombres aléatoires de la librairie standard de python :
+\texttt{Random.random()} qui est, comme vu dans le cours précédent,
+l'implementation
+d'un \textit{Mersenne Twister}. Pour chaque échantillon, on génère
+1 millions de valeurs qui, comme vu au cours précédent, est une taille acceptable
+d'échantillon pour bien aproximer une distribution de loi unforme.
+
+Afin d'accélerer la génération de nombres aléatoires \textit{et} de rendus
+de graphes
+(ces derniers étants de loin les opérations les
+plus couteuses en temps de calculs), on emploie le module
+\texttt{multiprocessing} qui permet de paralléliser des tâches sur processeurs
+(voir \texttt{main.py} sur le projet) (\ref{fig:multiprocess}).
+
+\begin{figure}
+ \centering
+ \begin{pycode}
+if __name__ == "__main__":
+ sns.set_theme(style="whitegrid", palette="rocket")
+ N = 1000000 # 10**6 random values
+ Ns = 12
+ RESOLUTION = 25
+ seed = int(datetime.now().timestamp())
+ data = more_values(N, seed, Ns)
+ #PROCESSING################################################################
+ multiprocessing.Process(target=job_erfinv, args=[data[0]]).start()
+ multiprocessing.Process(target=job_CentralLimitTheo, args=[data]).start()
+ multiprocessing.Process(target=job_BoxMuller, args=[data[0:2]]).start()
+ multiprocessing.Process(target=job_Marsagalia, args=[]).start()
+ multiprocessing.Process(target=job_rejectCauchy, args=[]).start()
+ \end{pycode}
+ \caption{Code python parallélisant le traitement de chaque méthode en jobs
+ différents, permettant de pousser la machine jusqu'au maximum de
+ ses capacités}
+ \label{fig:multiprocess}
+\end{figure}
+
+
+\section{Méthode Inverse}
+Comme vu en cours, la fonction inverse de la fonction de repartition $F$ d'une
+v.a.r $X$ nous permet, Ã partir d'une v.a.r $U$ de loi uniforme sur $[0 ; 1]$
+, de retrouver la loi de $X$ avec $F^{-1}(U)$.
+
+\`A partir de là , on peut donc utiliser la fonction inverse de la loi normale :
+$$F^{-1}(x) = \sqrt{2} \text{erfinv}(2x-1)$$. La fonction erfinv est présente dans
+le paquet python \texttt{scipy} (\ref{fig:erfinv}).
+
+\begin{figure}
+ \centering
+ \includegraphics{figures/erfinv_hist.png}
+ \caption{Histogramme de répartition de loi Normale obtenu avec la
+ Méthode inverse. En rouge est tracée la loi Normale la plus proche obtenue
+ avec le méthode \texttt{fit} de scipy.}
+ \label{fig:erfinv}
+\end{figure}
+
+\section{Théorème Central Limite}
+Avec la formule vue en cours, on génère une loi normale à partir de plusieurs
+loi uniformes (\ref{fig:TCL}).
+
+\begin{figure}
+ \centering
+ \includegraphics{figures/CentralLimitTheorem12_hist.png}
+ \caption{Approximation de la loi normale à partir de 12 lois uniformes
+ (12 échantillons) supposées indépendantes.}
+ \label{fig:TCL} Approximation de la loi normale à partir de la méthode de Box et
+ Muller
+\end{figure}
+
+\section{Méthode de Box et Muller}
+Pour la méthode de Box et Muller, on prend deux échantillons de valeurs supposés
+indépendants, sur lesquels on applique la formule vu en cours (\ref{fig:BMcode})
+
+\begin{figure}
+ \centering
+ \begin{pycode}
+def job_BoxMuller(uniforms):
+ name="BoxMuller"
+ print("\033[32;1mSarting BoxMuller job\033[0m")
+ if (len(uniforms) != 2):
+ raise ValueError("need two uniforms values exactly.")
+ U0 = uniforms[0]
+ U1 = uniforms[1]
+ Y0 = np.sqrt(-2*np.log(U0)) * np.cos(2*np.pi*U1)
+ Y1 = np.sqrt(-2*np.log(U1)) * np.cos(2*np.pi*U0)
+ graph.hist_distributivity_graph(N, RESOLUTION, 0
+ , {"BoxMuller1" : Y0})
+ graph.hist_distributivity_graph(N, RESOLUTION, 0
+ , {"BoxMuller2" : Y1})
+ do_stats_tests(Y0, name+"1")
+ do_stats_tests(Y1, name+"2")
+ return
+ \end{pycode}
+ \caption{Job BoxMuller pour générer l'approximation sous la méthode de
+ Box et Muller}
+ \label{fig:BMcode}
+\end{figure}
+
+On obtient alors deux approximations de loi normale. (\ref{fig:BM})
+\begin{figure}
+ \centering
+ \includegraphics[scale=0.8]{figures/BoxMuller1_hist.png}
+ \includegraphics[scale=0.8]{figures/BoxMuller2_hist.png}
+ \caption{Approximations de la loi normale à partir de la méthode de Box et
+ Muller}
+ \label{fig:BM}
+\end{figure}
+
+\section{Méthode de Marsagalia}
+La méthode de Marsagalia se repose sur celle de Box et Muller, mais vise Ã
+éviter l'utilisation de fonctions trigonométrique, enclins à des erreurs
+numériques. Pour cela néanmoins, le jeu de donnée que mange la méthode de
+Marsagalia nécessite de vérifier des conditions contraignantes pour la génération
+de nombres. Pour cela, on implémente une méthode auxilliaire pour générer nos
+échantillons nécessaires (\ref{fig:Marsagaliacode}).
+
+On obtient alors, de nouveau, une paire d'approximation de loi normale
+(\ref{fig:Marsagalia}).
+
+\begin{figure}
+ \centering
+ \begin{pycode}
+def Marsaglia_pair(N, seed):
+ """
+ Return a pair of two N random uniform values W1 W2
+ in [-1;1]
+ respecting :
+ for each x,y W1,W2
+ 0 <= x**x + y**y < 1
+ """
+ print(
+ "creating "
+ + str(N)
+ + " random pair values for Marsaglia with random.random() of seed "
+ + str(seed)
+ )
+ W0 = np.zeros(N)
+ W1 = np.zeros(N)
+ random.seed(seed)
+ i=0
+ while i < N:
+ w0 = 2*random.random() - 1
+ w1 = 2*random.random() - 1
+ while (w0**2 + w1**2 >= 1):
+ w0 = 2*random.random() - 1
+ w1 = 2*random.random() - 1
+
+ W0[i] = w0
+ W1[i] = w1
+ i+=1
+ return [W0, W1]
+ \end{pycode}
+ \caption{Caption}
+ \label{fig:Marsagaliacode}
+\end{figure}
+
+\begin{figure}
+ \centering
+ \includegraphics[scale=0.8]{figures/Marsaglia1_hist.png}
+ \includegraphics[scale=0.8]{figures/Marsaglia2_hist.png}
+ \caption{Approximations de la loi normale à partir de la méthode de Marsagalia}
+ \label{fig:Marsagalia}
+\end{figure}
+
+\section{Méthode de rejet}
+On implémente ici la méthode de rejet, plus précisement, celle avec l'enveloppe
+de Cauchy. Pour cela, on construit d'abord une méthode auxilliaire générique
+qui génère des valeurs selon la méthode de rejet (\ref{fig:rejectcode}). Cette
+méthode étant longue à calculer (les éléments sont générés iterativements, et
+les appels de fonctions alourdissent ce process), on parallélise ce procédé
+de génération avec \texttt{multiprocessing} (\ref{fig:rejectp}).
+
+Afin d'obtenir les paramètre à passer dans notre fonction de rejet, on
+prend l'inverse de la fonction de répartition de la loi de cauchy (centrée):
+$$ F_{cauchy}(x) = \frac{1}{2} + \frac{1}{\pi}\arctan{x}$$
+qui est alors
+$$ F_{cauchy}^{-1}(x) = \tan({\pi(x - \frac{1}{2})}) $$
+
+\begin{figure}
+ \centering
+ \begin{pycode}
+def reject_val(N, seed, Inv, c, g, f):
+ """
+ Return N random values
+ following reject method on c*g(X)*rand < f(X)
+ """
+ print(
+ "creating "
+ + str(N)
+ + " random pair values with reject method with random.random() of seed "
+ + str(seed)
+ )
+ i=0
+ random.seed(seed)
+ res = np.zeros(N)
+ while i < N:
+ u = Inv(random.random())
+ while (c*g(u)*random.random() > f(u)):
+ u = Inv(random.random())
+ res[i] = u
+ i += 1
+ return res
+ \end{pycode}
+ \caption{Génération de valeurs avec une méthode de rejet.}
+ \label{fig:rejectcode}
+\end{figure}
+
+\begin{figure}
+ \centering
+ \begin{pycode}
+def job_rejectCauchy():
+ name = "rejectCauchy"
+ print("\033[32;1mStarting Cauchy reject job\033[0m")
+ number = 10
+ with multiprocessing.Pool(number) as pool:
+ res = pool.starmap(reject_val
+ ,[(int(N/10), seed+i, GINVcauchy, cCauchy, gcauchy
+ ,scipy.stats.norm.pdf) for i in range(number)])
+ pool.close()
+ pool.join()
+ fres = np.array(res).flatten()
+ graph.hist_distributivity_graph(N, RESOLUTION, 0
+ , {name : fres})
+ do_stats_tests(fres, name)
+ return
+ \end{pycode}
+ \caption{Job lui même parallélisé pour la méthode de rejet
+ avec l'enveloppe de Cauchy.}
+ \label{fig:rejectp}
+\end{figure}
+
+\section{Tests}
+\texttt{scipy} inclut déjà une myriade de test statistique que l'on peut donc
+réaliser sur nos résultats.
+\subsection{Test de Shapiro-Wilk}
+Le test de \textit{Shapiro-Wilk} est un test de normalité d'un échantillons,
+Une statistique W proche de 1 donne une meilleure confiance que nos données
+sont proches d'une distribution normale. La p-value est également données,
+et permet de valider ou non notre test. Une p-value faible (disons $< 0.05$)
+indique qu'on a assez de preuve pour rejeter l'hypothèse nulle (ie. que nos
+données semblent suivre une distribution normale.).
+
+D'après les valeurs obtenues avec le test fourni par scipy
+\texttt{scipy.stats.shapiro}, nos valeurs sont largements validées par ce test
+(\ref{fig:SW}).
+
+\begin{figure}
+ \centering
+ \csvautotabular{figures/stats_shapiroWilk.csv}%
+ \caption{Statistique du test de Shapiro-Wilk sur nos différents résultats.}
+ \label{fig:SW}
+\end{figure}
+
+\subsection{Test D'Agostino}
+Le test d'Agostino se base sur le Kurtosis et la \textit{skewness} de nos
+données pour renvoyer une statistique. Plus la statistique est proche de 0,
+plus notre distribution se rapproche d'une distribution normale. La p-value
+se lit de la même manière que pour le test précédent.
+
+D'après les valeurs obtenues avec le test fourni par scipy
+\texttt{scipy.stats.normaltest}, La méthode Central Limite est la plus mauvaise
+(ce qui se reflète également visuellement ; on peut voir les courbes
+diverger (\ref{fig:TCL})), et les test de BoxMuller et Marsagalia ne donnent pas
+de résultats équivalents (le second échantillon est bien meilleur que le premier)
+(\ref{fig:Ago}).
+
+\begin{figure}
+ \centering
+ \csvautotabular{figures/stats_Agostino.csv}
+ \caption{Statistique du test d'Agostino.}
+ \label{fig:Ago}
+\end{figure}
+
+\subsection{Test de Anderson-Darling}
+Le test de Anderson-Darling se lit comme le test d'Agostino, me se base
+plutôt sur la déviation des données par rapport à une distribution normale.
+
+D'après les valeurs obtenues avec le test fourni par scipy
+\texttt{scipy.stats.anderson}, La méthode Central Limite est encore une fois
+la plus mauvaise (\ref{fig:And}).
+
+\begin{figure}
+ \centering
+ \csvautotabular{figures/stats_AndersonDarling.csv}
+ \caption{Statistique du test d'Anderson Darling.}
+ \label{fig:And}
+\end{figure}
+
+
+\end{document}