Initial commitv0.0

14 files changed, 1311 insertions, 0 deletions

diff --git a/figs/2pt_fourier.fig/2pt_fourier_bigeq.gnuplot b/figs/2pt_fourier.fig/2pt_fourier_bigeq.gnuplot
new file mode 100644
index 0000000..b58307f
--- /dev/null
+++ b/figs/2pt_fourier.fig/2pt_fourier_bigeq.gnuplot
@@ -0,0 +1,46 @@
+#set title "Big equation"
+set ylabel norotate "$\\mathcal S(\\kappa)$"
+set xlabel "$\\kappa$"
+
+#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 [:8]
+
+#set ytics 0, 1e-5, 2e-5	
+#set ytics add ("$10^{-5}$" 1e-5)
+#set mytics
+set yrange [0.99998:1.0001]
+
+# default output canvas size: 12.5cm x 8.75cm
+set term lua tikz size 8,6 standalone
+
+set key top right box linetype rgbcolor"#999999" width 2.5 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 (9,9)
+set style line 2 linetype rgbcolor circle_2_rgb(0.17) linewidth 2 dashtype (7,7)
+set style line 3 linetype rgbcolor circle_2_rgb(0.33) linewidth 2 dashtype (5,5)
+set style line 4 linetype rgbcolor circle_2_rgb(0.5) linewidth 2 dashtype (3,3)
+set style line 5 linetype rgbcolor circle_2_rgb(0.67) linewidth 2 dashtype (1,1)
+set style line 6 linetype rgbcolor circle_2_rgb(0.83) linewidth 2
+
+
+plot \
+ "bigeq_5.dat" using 1:(1+$2/1e-5) with lines ls 1 title "$\\rho=10^{-5}$" ,\
+ "bigeq_4.dat" using 1:(1+$2/1e-4) with lines ls 2 title "$\\rho=10^{-4}$" ,\
+ "bigeq_3.dat" using 1:(1+$2/1e-3) with lines ls 3 title "$\\rho=10^{-3}$" ,\
+ "bigeq_2.dat" using 1:(1+$2/1e-2) with lines ls 4 title "$\\rho=10^{-2}$" ,\
+ "bigeq_1.dat" using 1:(1+$2/1e-1) with lines ls 5 title "$\\rho=10^{-1}$" ,\
+ "bigeq_0.3.dat" using 1:(1+$2/0.3) with lines ls 6 title "$\\rho=0.3$"
+
+
diff --git a/figs/2pt_fourier.fig/2pt_fourier_medeq.gnuplot b/figs/2pt_fourier.fig/2pt_fourier_medeq.gnuplot
new file mode 100644
index 0000000..6acfcbd
--- /dev/null
+++ b/figs/2pt_fourier.fig/2pt_fourier_medeq.gnuplot
@@ -0,0 +1,44 @@
+#set title "Medium equation"
+set ylabel norotate "$\\mathcal S(\\kappa)$"
+set xlabel "$\\kappa$"
+
+#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 [:8]
+
+#set ytics 0, 1e-5, 2e-5	
+#set ytics add ("$10^{-5}$" 1e-5)
+#set mytics
+set yrange [0.9999:]
+
+# 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
+
+
+plot \
+ "medeq_5.dat" using 1:(1+$2/1e-5) with lines ls 1 title "$\\rho=10^{-5}$" ,\
+ "medeq_4.dat" using 1:(1+$2/1e-4) with lines ls 2 title "$\\rho=10^{-4}$" ,\
+ "medeq_3.dat" using 1:(1+$2/1e-3) with lines ls 3 title "$\\rho=10^{-3}$" ,\
+ "medeq_2.dat" using 1:(1+$2/1e-2) with lines ls 4 title "$\\rho=10^{-2}$" ,\
+ "medeq_1.dat" using 1:(1+$2/1e-1) with lines ls 5 title "$\\rho=10^{-1}$"
+
diff --git a/figs/2pt_fourier.fig/Makefile b/figs/2pt_fourier.fig/Makefile
new file mode 100644
index 0000000..effd39a
--- /dev/null
+++ b/figs/2pt_fourier.fig/Makefile
@@ -0,0 +1,71 @@
+PROJECT=$(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;kmin=0;kmax=8;nk=100" -M easyeq 2pt_fourier > medeq_$(1).dat
+endef
+define medeq_run_plus
+	julia $(SIMPLESOLV)/main.jl -p "eq=medeq;order=300;maxiter=100;v_a=8;rho=1e-$(1);minlrho_init=-6;nlrho_init=100;window_L=100;kmin=0;kmax=8;nk=100" -M easyeq 2pt_fourier > 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;kmin=0;kmax=8;nk=100" -M anyeq 2pt_fourier > bigeq_$(1).dat
+endef
+define bigeq_run_fine
+	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;kmin=0;kmax=8;nk=150" -M anyeq 2pt_fourier > 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=50;kmin=0;kmax=8;nk=100" -M anyeq 2pt_fourier > bigeq_$(1).dat
+endef
+
+medeq_5.dat:
+	$(call medeq_run,5)
+medeq_4.dat:
+	$(call medeq_run,4)
+medeq_3.dat:
+	$(call medeq_run,3)
+medeq_2.dat:
+	$(call medeq_run,2)
+medeq_1.dat:
+	$(call medeq_run_plus,1)
+
+bigeq_5.dat:
+	$(call bigeq_run,5)
+bigeq_4.dat:
+	$(call bigeq_run,4)
+bigeq_3.dat:
+	$(call bigeq_run,3)
+bigeq_2.dat:
+	$(call bigeq_run_fine,2)
+bigeq_1.dat:
+	$(call bigeq_run_plus,1)
+bigeq_0.3.dat:
+	julia -p 16 $(SIMPLESOLV)/main.jl -p "eq=bigeq;N=18;P=12;J=15;maxiter=100;v_a=8;rho=0.3;minlrho_init=-6;nlrho_init=100;window_L=25;kmin=0;kmax=8;nk=100" -M anyeq 2pt_fourier > bigeq_0.3.dat
+
+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 bigeq_0.3.dat
+
+2pt_fourier_medeq.pdf: $(DATS_MED)
+	$(call gnuplot2pdf,$(basename $@))
+2pt_fourier_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_fourier.fig/bigeq_0.3.dat b/figs/2pt_fourier.fig/bigeq_0.3.dat
new file mode 100644
index 0000000..148b17f
--- /dev/null
+++ b/figs/2pt_fourier.fig/bigeq_0.3.dat
@@ -0,0 +1,100 @@
+ 8.000000000000000e-02 -1.069194620875982e-03
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diff --git a/figs/2pt_fourier.fig/bigeq_1.dat b/figs/2pt_fourier.fig/bigeq_1.dat
new file mode 100644
index 0000000..e4129ee
--- /dev/null
+++ b/figs/2pt_fourier.fig/bigeq_1.dat
@@ -0,0 +1,100 @@
+ 8.000000000000000e-02 -3.559365320339305e-04
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