Initial commitv0.0

13 files changed, 1159 insertions, 0 deletions

diff --git a/figs/2pt.fig/2pt_bigeq.gnuplot b/figs/2pt.fig/2pt_bigeq.gnuplot
new file mode 100644
index 0000000..2133dae
--- /dev/null
+++ b/figs/2pt.fig/2pt_bigeq.gnuplot
@@ -0,0 +1,49 @@
+#set title "Big equation"
+set ylabel norotate "$g(r)$"
+set xlabel "$r\\rho^{1/3}$"
+
+#set xtics 1e-6, 1000, 1e6
+#set xtics add ("$10^{-6}$" 0.000001, "$10^{-3}$" 0.001, "$10^{0}$" 1, "$10^{3}$" 1000, "$10^6$" 1000000)
+#unset mxtics
+set xrange [:3]
+
+#set ytics 0, 1e-5, 2e-5	
+#set ytics add ("$10^{-5}$" 1e-5)
+#set mytics
+set yrange [0.8:]
+
+# default output canvas size: 12.5cm x 8.75cm
+set term lua tikz size 8,6 standalone
+
+set key bottom right box linetype rgbcolor"#999999" width 3 height 0.3 spacing 1.3
+
+
+rgb(r,g,b) = 65536 * int(r) + 256 * int(g) + int(b)
+circle_2_rgb(x) = (x < 1./6 ? rgb(255,x*6*255,0) : \
+		  (x < 2./6 ? rgb((2./6-x)*6*255,255,0) : \
+		  (x < 3./6 ? rgb(0,255,(x-2./6)*6*255) : \
+		  (x < 4./6 ? rgb(0,(4./6-x)*6*255,255) : \
+		  (x < 5./6 ? rgb((x-4./6)*6*255,0,255) : \
+		              rgb(255,0,(1-x)*6*255) \
+		  )))))
+
+
+set style line 1 linetype rgbcolor circle_2_rgb(0.0) linewidth 2 dashtype (7,7)
+set style line 2 linetype rgbcolor circle_2_rgb(0.2) linewidth 2 dashtype (5,5)
+set style line 3 linetype rgbcolor circle_2_rgb(0.4) linewidth 2 dashtype (3,3)
+set style line 4 linetype rgbcolor circle_2_rgb(0.6) linewidth 2 dashtype (1,1)
+set style line 5 linetype rgbcolor circle_2_rgb(0.8) linewidth 2
+set style line 6 linetype rgbcolor (0,0,0) linewidth 1
+
+set pointsize 1
+
+
+plot \
+ 1 ls 6 notitle,\
+ "bigeq_5.dat" using ($1*1e-5**(1./3)):($2/1e-5**2) with lines ls 1 title "$\\rho=10^{-5}$" ,\
+ "bigeq_4.dat" using ($1*1e-4**(1./3)):($2/1e-4**2) with lines ls 2 title "$\\rho=10^{-4}$" ,\
+ "bigeq_3.dat" using ($1*1e-3**(1./3)):($2/1e-3**2) with lines ls 3 title "$\\rho=10^{-3}$" ,\
+ "bigeq_2.dat" using ($1*1e-2**(1./3)):($2/1e-2**2) with lines ls 4 title "$\\rho=10^{-2}$" ,\
+ "bigeq_1.dat" using ($1*1e-1**(1./3)):($2/1e-1**2) with lines ls 5 title "$\\rho=10^{-1}$"
+
+
diff --git a/figs/2pt.fig/2pt_medeq.gnuplot b/figs/2pt.fig/2pt_medeq.gnuplot
new file mode 100644
index 0000000..70b39ce
--- /dev/null
+++ b/figs/2pt.fig/2pt_medeq.gnuplot
@@ -0,0 +1,47 @@
+#set title "Medium equation"
+set ylabel norotate "$g(r)$"
+set xlabel "$r\\rho^{1/3}$"
+
+#set xtics 1e-6, 1000, 1e6
+#set xtics add ("$10^{-6}$" 0.000001, "$10^{-3}$" 0.001, "$10^{0}$" 1, "$10^{3}$" 1000, "$10^6$" 1000000)
+#unset mxtics
+set xrange [:3]
+
+#set ytics 0, 1e-5, 2e-5	
+#set ytics add ("$10^{-5}$" 1e-5)
+#set mytics
+set yrange [0.8:]
+
+# default output canvas size: 12.5cm x 8.75cm
+set term lua tikz size 8,6 standalone
+
+set key bottom right box linetype rgbcolor"#999999" width 3 height 0.3 spacing 1.3
+
+
+rgb(r,g,b) = 65536 * int(r) + 256 * int(g) + int(b)
+circle_2_rgb(x) = (x < 1./6 ? rgb(255,x*6*255,0) : \
+		  (x < 2./6 ? rgb((2./6-x)*6*255,255,0) : \
+		  (x < 3./6 ? rgb(0,255,(x-2./6)*6*255) : \
+		  (x < 4./6 ? rgb(0,(4./6-x)*6*255,255) : \
+		  (x < 5./6 ? rgb((x-4./6)*6*255,0,255) : \
+		              rgb(255,0,(1-x)*6*255) \
+		  )))))
+
+
+set style line 1 linetype rgbcolor circle_2_rgb(0.0) linewidth 2 dashtype (7,7)
+set style line 2 linetype rgbcolor circle_2_rgb(0.2) linewidth 2 dashtype (5,5)
+set style line 3 linetype rgbcolor circle_2_rgb(0.4) linewidth 2 dashtype (3,3)
+set style line 4 linetype rgbcolor circle_2_rgb(0.6) linewidth 2 dashtype (1,1)
+set style line 5 linetype rgbcolor circle_2_rgb(0.8) linewidth 2
+set style line 6 linetype rgbcolor (0,0,0) linewidth 1
+
+
+plot \
+ 1 ls 6 notitle,\
+ "medeq_5.dat" using ($1*1e-5**(1./3)):($2/1e-5**2) with lines ls 1 title "$\\rho=10^{-5}$" ,\
+ "medeq_4.dat" using ($1*1e-4**(1./3)):($2/1e-4**2) with lines ls 2 title "$\\rho=10^{-4}$" ,\
+ "medeq_3.dat" using ($1*1e-3**(1./3)):($2/1e-3**2) with lines ls 3 title "$\\rho=10^{-3}$" ,\
+ "medeq_2.dat" using ($1*1e-2**(1./3)):($2/1e-2**2) with lines ls 4 title "$\\rho=10^{-2}$" ,\
+ "medeq_1.dat" using ($1*1e-1**(1./3)):($2/1e-1**2) with lines ls 5 title "$\\rho=10^{-1}$"
+
+
diff --git a/figs/2pt.fig/Makefile b/figs/2pt.fig/Makefile
new file mode 100644
index 0000000..234c733
--- /dev/null
+++ b/figs/2pt.fig/Makefile
@@ -0,0 +1,63 @@
+PROJECT=$(basename $(wildcard *.gnuplot))
+
+SIMPLESOLV=simplesolv
+
+all: $(addsuffix .pdf, $(PROJECT))
+
+define gnuplot2pdf
+	gnuplot $(1).gnuplot > $(1).tikz.tex
+	pdflatex -jobname $(1) -file-line-error $(1).tikz.tex
+endef
+
+define medeq_run
+	julia $(SIMPLESOLV)/main.jl -p "eq=medeq;order=200;maxiter=100;v_a=8;rho=1e-$(1);minlrho_init=-6;nlrho_init=100;window_L=100;xmin=0;xmax=$(2);nx=100" -M easyeq 2pt > medeq_$(1).dat
+endef
+define bigeq_run
+	julia -p 16 $(SIMPLESOLV)/main.jl -p "eq=bigeq;N=12;P=8;J=10;maxiter=100;v_a=8;rho=1e-$(1);minlrho_init=-6;nlrho_init=100;window_L=100;xmin=0;xmax=$(2);nx=100" -M anyeq 2pt > bigeq_$(1).dat
+endef
+define bigeq_run_plus
+	julia -p 16 $(SIMPLESOLV)/main.jl -p "eq=bigeq;N=18;P=12;J=15;maxiter=100;v_a=8;rho=1e-$(1);minlrho_init=-6;nlrho_init=100;window_L=100;xmin=0;xmax=$(2);nx=100" -M anyeq 2pt > bigeq_$(1).dat
+endef
+
+medeq_5.dat:
+	$(call medeq_run,5,139.5)
+medeq_4.dat:
+	$(call medeq_run,4,64.5)
+medeq_3.dat:
+	$(call medeq_run,3,30)
+medeq_2.dat:
+	$(call medeq_run,2,14)
+medeq_1.dat:
+	$(call medeq_run,1,6.5)
+
+bigeq_5.dat:
+	$(call bigeq_run_plus,5,139.5)
+bigeq_4.dat:
+	$(call bigeq_run,4,64.5)
+bigeq_3.dat:
+	$(call bigeq_run,3,30)
+bigeq_2.dat:
+	$(call bigeq_run,2,14)
+bigeq_1.dat:
+	$(call bigeq_run,1,6.5)
+
+DATS_MED=medeq_5.dat medeq_4.dat medeq_3.dat medeq_2.dat medeq_1.dat
+DATS_BIG=bigeq_5.dat bigeq_4.dat bigeq_3.dat bigeq_2.dat bigeq_1.dat
+
+2pt_medeq.pdf: $(DATS_MED)
+	$(call gnuplot2pdf,$(basename $@))
+2pt_bigeq.pdf: $(DATS_BIG)
+	$(call gnuplot2pdf,$(basename $@))
+
+
+clean-aux:
+	rm -f $(addsuffix .tikz.tex, $(PROJECT))
+	rm -f *.aux *.log
+
+clean-dat:
+	rm -f $(DATS_MED) $(DATS_BIG)
+
+clean-pdf:
+	rm -f $(addsuffix .pdf, $(PROJECT))
+
+clean: clean-aux clean-pdf
diff --git a/figs/2pt.fig/bigeq_1.dat b/figs/2pt.fig/bigeq_1.dat
new file mode 100644
index 0000000..5a7050e
--- /dev/null
+++ b/figs/2pt.fig/bigeq_1.dat
@@ -0,0 +1,100 @@
+ 6.500000000000000e-02  2.124106903868166e-03
+ 1.300000000000000e-01  2.167462874073794e-03
+ 1.950000000000000e-01  2.237296985127973e-03
+ 2.600000000000000e-01  2.331605451031708e-03
+ 3.250000000000000e-01  2.448941547781181e-03
+ 3.900000000000000e-01  2.588140107411339e-03
+ 4.550000000000000e-01  2.748057991645383e-03
+ 5.200000000000000e-01  2.927777097002868e-03
+ 5.850000000000000e-01  3.126536998535562e-03
+ 6.500000000000000e-01  3.343345300613759e-03
+ 7.150000000000000e-01  3.576823032139147e-03
+ 7.800000000000000e-01  3.825564291357081e-03
+ 8.450000000000000e-01  4.088347880430513e-03
+ 9.100000000000000e-01  4.363771211293593e-03
+ 9.750000000000000e-01  4.649916793199939e-03
+ 1.040000000000000e+00  4.944545590582373e-03
+ 1.105000000000000e+00  5.245523977781352e-03
+ 1.170000000000000e+00  5.550842852422491e-03
+ 1.235000000000000e+00  5.858433964474727e-03
+ 1.300000000000000e+00  6.166148349824381e-03
+ 1.365000000000000e+00  6.471827561543476e-03
+ 1.430000000000000e+00  6.773231278914734e-03
+ 1.495000000000000e+00  7.068045143624879e-03
+ 1.560000000000000e+00  7.354235290448398e-03
+ 1.625000000000000e+00  7.630315832381581e-03
+ 1.690000000000000e+00  7.895144379054149e-03
+ 1.755000000000000e+00  8.147496868586892e-03
+ 1.820000000000000e+00  8.386050433396892e-03
+ 1.885000000000000e+00  8.609685063783469e-03
+ 1.950000000000000e+00  8.817659040087014e-03
+ 2.015000000000000e+00  9.009577940779279e-03
+ 2.080000000000000e+00  9.185381346327402e-03
+ 2.145000000000000e+00  9.345326939066329e-03
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+ 2.405000000000000e+00  9.832711783240961e-03
+ 2.470000000000000e+00  9.918746117680068e-03
+ 2.535000000000000e+00  9.992032276164565e-03
+ 2.600000000000000e+00  1.005341589861180e-02
+ 2.665000000000000e+00  1.010382500050412e-02
+ 2.730000000000000e+00  1.014429795640940e-02
+ 2.795000000000000e+00  1.017583906325052e-02
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+ 5.330000000000000e+00  9.978102884010564e-03
+ 5.395000000000000e+00  9.979744856473849e-03
+ 5.460000000000000e+00  9.981708221394653e-03
+ 5.525000000000000e+00  9.983851261885928e-03
+ 5.590000000000000e+00  9.986088186023987e-03
+ 5.655000000000000e+00  9.988367247974549e-03
+ 5.720000000000000e+00  9.990589204206524e-03
+ 5.785000000000000e+00  9.992622779055280e-03
+ 5.850000000000000e+00  9.994359978631823e-03
+ 5.915000000000000e+00  9.995727016710030e-03
+ 5.980000000000000e+00  9.996675943200167e-03
+ 6.045000000000000e+00  9.997234808390895e-03
+ 6.110000000000000e+00  9.997532399390359e-03
+ 6.175000000000000e+00  9.997724519065937e-03
+ 6.240000000000000e+00  9.997924793093482e-03
+ 6.305000000000000e+00  9.998239135346639e-03
+ 6.370000000000000e+00  9.998822907557797e-03
+ 6.435000000000000e+00  9.999808443892519e-03
+ 6.500000000000000e+00  1.000118401897063e-02
diff --git a/figs/2pt.fig/bigeq_2.dat b/figs/2pt.fig/bigeq_2.dat
new file mode 100644
index 0000000..1edf2f7
--- /dev/null
+++ b/figs/2pt.fig/bigeq_2.dat
@@ -0,0 +1,100 @@
+ 1.400000000000000e-01  1.488043827565062e-06
+ 2.800000000000000e-01  1.682490793450653e-06
+ 4.200000000000000e-01  2.012392878526759e-06
+ 5.600000000000001e-01  2.497842610503254e-06
+ 7.000000000000000e-01  3.169462751290156e-06
+ 8.400000000000000e-01  4.063501152271771e-06
+ 9.800000000000000e-01  5.221881209449808e-06
+ 1.120000000000000e+00  6.685588932583900e-06
+ 1.260000000000000e+00  8.494580586418807e-06
+ 1.400000000000000e+00  1.068397234740815e-05
+ 1.540000000000000e+00  1.327826576527692e-05
+ 1.680000000000000e+00  1.629096680706187e-05
+ 1.820000000000000e+00  1.972445619317546e-05
+ 1.960000000000000e+00  2.356202944493775e-05
+ 2.100000000000000e+00  2.777290282324146e-05
+ 2.240000000000000e+00  3.231459777435289e-05
+ 2.380000000000000e+00  3.712916581792513e-05
+ 2.520000000000000e+00  4.214818471315268e-05
+ 2.660000000000000e+00  4.729782504286359e-05
+ 2.800000000000000e+00  5.250091949313870e-05
+ 2.940000000000000e+00  5.768018526782452e-05
+ 3.080000000000000e+00  6.275982398160120e-05
+ 3.220000000000000e+00  6.766967728037899e-05
+ 3.360000000000000e+00  7.235284035758368e-05
+ 3.500000000000000e+00  7.675809652716914e-05
+ 3.640000000000000e+00  8.084264766223624e-05
+ 3.780000000000000e+00  8.457902488377725e-05
+ 3.920000000000000e+00  8.795122884233603e-05
+ 4.060000000000000e+00  9.094958194649707e-05
+ 4.200000000000000e+00  9.357477884714454e-05
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+ 4.480000000000000e+00  9.775148023346621e-05
+ 4.620000000000000e+00  9.934256246239866e-05
+ 4.760000000000000e+00  1.006315903620250e-04
+ 4.900000000000000e+00  1.016457132770460e-04
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+ 5.180000000000000e+00  1.029670896526100e-04
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+ 1.078000000000000e+01  9.992869723518453e-05
+ 1.092000000000000e+01  9.994612988910766e-05
+ 1.106000000000000e+01  9.996234696754002e-05
+ 1.120000000000000e+01  9.997703106968473e-05
+ 1.134000000000000e+01  9.999058712119805e-05
+ 1.148000000000000e+01  1.000024720980218e-04
+ 1.162000000000000e+01  1.000117187249374e-04
+ 1.176000000000000e+01  1.000190980871260e-04
+ 1.190000000000000e+01  1.000244584711228e-04
+ 1.204000000000000e+01  1.000268673191230e-04
+ 1.218000000000000e+01  1.000266443000525e-04
+ 1.232000000000000e+01  1.000252169273886e-04
+ 1.246000000000000e+01  1.000241469078820e-04
+ 1.260000000000000e+01  1.000250553485828e-04
+ 1.274000000000000e+01  1.000273467968761e-04
+ 1.288000000000000e+01  1.000292757077791e-04
+ 1.302000000000000e+01  1.000287849633750e-04
+ 1.316000000000000e+01  1.000249273487198e-04
+ 1.330000000000000e+01  1.000195937233679e-04
+ 1.344000000000000e+01  1.000153588345325e-04
+ 1.358000000000000e+01  1.000126240836720e-04
+ 1.372000000000000e+01  1.000112293444513e-04
+ 1.386000000000000e+01  1.000108044655828e-04
+ 1.400000000000000e+01  1.000097904178311e-04
diff --git a/figs/2pt.fig/bigeq_3.dat b/figs/2pt.fig/bigeq_3.dat
new file mode 100644
index 0000000..af3b99f
--- /dev/null
+++ b/figs/2pt.fig/bigeq_3.dat
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new file mode 100644
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diff --git a/figs/2pt.fig/medeq_5.dat b/figs/2pt.fig/medeq_5.dat
new file mode 100644
index 0000000..985db9c
--- /dev/null
+++ b/figs/2pt.fig/medeq_5.dat
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