diff options
Diffstat (limited to 'figs/energy_relative_error.fig')
| -rw-r--r-- | figs/energy_relative_error.fig/2020-10-15+energy.dat | 13 | ||||
| -rw-r--r-- | figs/energy_relative_error.fig/Makefile | 51 | ||||
| -rw-r--r-- | figs/energy_relative_error.fig/bigeq1.dat | 13 | ||||
| -rw-r--r-- | figs/energy_relative_error.fig/cmp_energy1.gnuplot | 37 | ||||
| -rw-r--r-- | figs/energy_relative_error.fig/mueq1.dat | 13 | ||||
| -rw-r--r-- | figs/energy_relative_error.fig/simpleq1.dat | 13 |
6 files changed, 140 insertions, 0 deletions
diff --git a/figs/energy_relative_error.fig/2020-10-15+energy.dat b/figs/energy_relative_error.fig/2020-10-15+energy.dat new file mode 100644 index 0000000..8a6566c --- /dev/null +++ b/figs/energy_relative_error.fig/2020-10-15+energy.dat @@ -0,0 +1,13 @@ +1e-6 7.90e-6 7.91e-6 +1e-4 8.344e-4 8.345e-4 0.017 0.018 8.355e-4 8.356e-4 0.015 0.016 +1e-3 9.1338e-3 9.1339e-3 0.048 0.049 9.142e-3 9.143e-3 0.045 0.046 +5e-3 5.0613e-2 5.0614e-2 0.080 0.081 5.0648e-2 5.0649e-2 0.070 0.071 +1e-2 1.06107e-1 1.06108e-1 0.087 0.088 1.0627e-1 1.0628e-1 0.073 0.074 +1.5e-2 1.6337e-1 1.6338e-1 0.090 0.091 1.6342e-1 1.6343e-1 0.088 0.089 +2e-2 2.2162e-1 2.2163e-1 0.093 0.094 2.2169e-1 2.2170e-1 0.090 0.091 +5e-2 5.8044e-1 5.8045e-1 0.091 0.092 5.8046e-1 5.8047e-1 0.091 0.092 +1e-1 1.1918e+0 1.1919e+0 0.088 0.089 1.1919e+0 1.1920e+0 0.085 0.086 +1e-0 1.2430e+1 1.2431e+1 0.058 0.059 1.245e+1 1.246e+1 0.05 0.06 +1e+1 1.2544e+2 1.2545e+2 0.031 0.032 +5e+1 6.2803e+2 6.2804e+2 0.02 0.03 + diff --git a/figs/energy_relative_error.fig/Makefile b/figs/energy_relative_error.fig/Makefile new file mode 100644 index 0000000..93e03f5 --- /dev/null +++ b/figs/energy_relative_error.fig/Makefile @@ -0,0 +1,51 @@ +PROJECTNAME=cmp_energy1 + +SIMPLEQ=~/Work/Research/2018+bose_gas/cmp/simpleq + +DATS= simpleq1.dat mueq1.dat bigeq1.dat +PDFS=$(addsuffix .pdf, $(PROJECTNAME)) +TEXS=$(addsuffix .tikz.tex, $(PROJECTNAME)) + +all: $(PDFS) + +$(PDFS): $(DATS) + gnuplot $(patsubst %.pdf, %.gnuplot, $@) > $(patsubst %.pdf, %.tikz.tex, $@) + pdflatex -jobname $(basename $@) -file-line-error $(patsubst %.pdf, %.tikz.tex, $@) + +bigeq1.dat: + for rho in 1e-6 1e-4 1e-3 5e-3 1e-2 1.5e-2 2e-2 5e-2 1e-1 1.0 1e1 5e1; do \ + echo -n $$rho " " >> $@-tmp ;\ + julia $(SIMPLEQ)/main.jl -p "N=12;P=8;J=10;maxiter=100;v_a=1;rho=$$rho;minlrho=-6;nlrho=50;eq=bigeq" -M medeq energy >> $@-tmp ;\ + done + paste $@-tmp 2020-10-15+energy.dat > $@ + rm $@-tmp +simpleq1.dat: + for lrho in -6 -4 -3 -2.3010299956639813 -2 -1.8239087409443189 -1.6989700043360187 -1.3010299956639813 -1 0 1 1.6989700043360187; do\ + julia $(SIMPLEQ)/main.jl -p "tolerance=1e-11;order=100;maxiter=100;v_a=1;minlrho=$$lrho;nlrho=1" -M simpleq energy_rho >> $@-tmp ;\ + done + paste $@-tmp 2020-10-15+energy.dat > $@ + rm $@-tmp +mueq1.dat: + for lrho in -6 -4 -3 -2.3010299956639813 -2 -1.8239087409443189 -1.6989700043360187 -1.3010299956639813 -1 0 1 1.6989700043360187; do\ + julia $(SIMPLEQ)/main.jl -p "tolerance=1e-11;order=100;maxiter=100;v_a=1;minlrho=$$lrho;nlrho=1" -M mueq energy_rho >> $@-tmp ;\ + done + paste $@-tmp 2020-10-15+energy.dat > $@ + rm $@-tmp + + +install: $(PDFS) + cp $^ $(INSTALLDIR)/ + +clean-aux: + rm -f $(addsuffix .tikz.tex, $(PROJECTNAME)) + rm -f $(addsuffix .aux, $(PROJECTNAME)) + rm -f $(addsuffix .log, $(PROJECTNAME)) + +clean-dat: + rm -f $(DATS) + rm -f Abar.dat + +clean-tex: + rm -f $(PDFS) + +clean: clean-aux clean-tex diff --git a/figs/energy_relative_error.fig/bigeq1.dat b/figs/energy_relative_error.fig/bigeq1.dat new file mode 100644 index 0000000..ccab7cc --- /dev/null +++ b/figs/energy_relative_error.fig/bigeq1.dat @@ -0,0 +1,13 @@ +1e-6 7.933345669932108e-06 1.702110068633820e-12 1e-6 7.90e-6 7.91e-6 +1e-4 8.349333596092273e-04 1.112527655484278e-13 1e-4 8.344e-4 8.345e-4 0.017 0.018 8.355e-4 8.356e-4 0.015 0.016 +1e-3 9.146316224214820e-03 2.077370190827862e-12 1e-3 9.1338e-3 9.1339e-3 0.048 0.049 9.142e-3 9.143e-3 0.045 0.046 +5e-3 5.063551121414726e-02 8.398015568932763e-12 5e-3 5.0613e-2 5.0614e-2 0.080 0.081 5.0648e-2 5.0649e-2 0.070 0.071 +1e-2 1.061166635113156e-01 5.017547334745932e-15 1e-2 1.06107e-1 1.06108e-1 0.087 0.088 1.0627e-1 1.0628e-1 0.073 0.074 +1.5e-2 1.633545333357252e-01 2.212732350724188e-15 1.5e-2 1.6337e-1 1.6338e-1 0.090 0.091 1.6342e-1 1.6343e-1 0.088 0.089 +2e-2 2.216006926766234e-01 4.554921896809050e-15 2e-2 2.2162e-1 2.2163e-1 0.093 0.094 2.2169e-1 2.2170e-1 0.090 0.091 +5e-2 5.805467427278628e-01 3.333614946727334e-15 5e-2 5.8044e-1 5.8045e-1 0.091 0.092 5.8046e-1 5.8047e-1 0.091 0.092 +1e-1 1.191928562890024e+00 2.450444415773880e-15 1e-1 1.1918e+0 1.1919e+0 0.088 0.089 1.1919e+0 1.1920e+0 0.085 0.086 +1.0 1.243051761633436e+01 3.791416729017179e-12 1e-0 1.2430e+1 1.2431e+1 0.058 0.059 1.245e+1 1.246e+1 0.05 0.06 +1e1 1.254476421597336e+02 2.677873467933947e-13 1e+1 1.2544e+2 1.2545e+2 0.031 0.032 +5e1 nan nan 5e+1 6.2803e+2 6.2804e+2 0.02 0.03 + diff --git a/figs/energy_relative_error.fig/cmp_energy1.gnuplot b/figs/energy_relative_error.fig/cmp_energy1.gnuplot new file mode 100644 index 0000000..c2b1afd --- /dev/null +++ b/figs/energy_relative_error.fig/cmp_energy1.gnuplot @@ -0,0 +1,37 @@ +set title "$v(\\mathbf x)=e^{-|\\mathbf x|}$" +set ylabel "energy relative error" offset +3 +set xlabel "$\\rho$" + +set xtics 1e-6, 100, 100 +set xtics add ("$10^{-6}$" 0.000001, "$10^{-4}$" 0.0001, "$10^{-2}$" 0.01, "$1$" 1.0, "$10^2$" 100) +unset mxtics +set xrange [1e-6:1e2] + +set ytics 1e-5, 10, 1e-1 +set ytics add ("$10^{-5}$" 1e-5, "$10^{-4}$" 1e-4, "$10^{-3}$" 1e-3, "$10^{-2}$" 1e-2, "$10^{-1}$" 1e-1) +set yrange [1e-5:1e-1] + +# default output canvas size: 12.5cm x 8.75cm +set term lua tikz size 8,6 standalone + +unset key + + +# set linestyle +set style line 1 linetype rgbcolor "#4169E1" linewidth 2 +set style line 2 linetype rgbcolor "#DC143C" linewidth 2 +set style line 3 linetype rgbcolor "#32CD32" linewidth 2 +set style line 4 linetype rgbcolor "#4B0082" linewidth 2 +set style line 5 linetype rgbcolor "#DAA520" linewidth 2 + +set pointsize 1 + +max(x,y)=(x>y ? x : y) + +set logscale xy + +plot \ + "simpleq1.dat" using 1:($3<1e-5 ? max(abs($2-$5)/$5,abs($2-$6)/$6) : 1/0) every ::1 with lp ls 1 ,\ + "bigeq1.dat" using 1:($3<1e-5 ? max(abs($2-$5)/$5,abs($2-$6)/$6) : 1/0) every ::1 with lp ls 4 ,\ + "2020-10-15+energy.dat" using 1:(max(max(abs($6-$2)/$2,abs($6-$3)/$3),max(abs($7-$2)/$2,abs($7-$3)/$3))) every ::1 with lp ls 2 + diff --git a/figs/energy_relative_error.fig/mueq1.dat b/figs/energy_relative_error.fig/mueq1.dat new file mode 100644 index 0000000..6680ed3 --- /dev/null +++ b/figs/energy_relative_error.fig/mueq1.dat @@ -0,0 +1,13 @@ + 1.000000000000000e-06 7.934286257047026e-06 3.235575358862730e-14 1e-6 7.90e-6 7.91e-6 + 1.000000000000000e-04 8.377752370367244e-04 3.201262322514326e-14 1e-4 8.344e-4 8.345e-4 0.017 0.018 8.355e-4 8.356e-4 0.015 0.016 + 1.000000000000000e-03 9.227516472314044e-03 5.926882960328585e-12 1e-3 9.1338e-3 9.1339e-3 0.048 0.049 9.142e-3 9.143e-3 0.045 0.046 + 4.999999999999999e-03 5.110614907540598e-02 1.069784208067329e-14 5e-3 5.0613e-2 5.0614e-2 0.080 0.081 5.0648e-2 5.0649e-2 0.070 0.071 + 1.000000000000000e-02 1.069255387977072e-01 1.572627931557844e-14 1e-2 1.06107e-1 1.06108e-1 0.087 0.088 1.0627e-1 1.0628e-1 0.073 0.074 + 1.500000000000000e-02 1.643925118385577e-01 2.494863657028789e-14 1.5e-2 1.6337e-1 1.6338e-1 0.090 0.091 1.6342e-1 1.6343e-1 0.088 0.089 + 2.000000000000000e-02 2.228019992986293e-01 1.448625206361080e-14 2e-2 2.2162e-1 2.2163e-1 0.093 0.094 2.2169e-1 2.2170e-1 0.090 0.091 + 5.000000000000000e-02 5.821600306289594e-01 2.429130993459621e-14 5e-2 5.8044e-1 5.8045e-1 0.091 0.092 5.8046e-1 5.8047e-1 0.091 0.092 + 1.000000000000000e-01 1.193625606724180e+00 9.289627651289616e-14 1e-1 1.1918e+0 1.1919e+0 0.088 0.089 1.1919e+0 1.1920e+0 0.085 0.086 + 1.000000000000000e+00 1.243092200540192e+01 3.956891809887943e-12 1e-0 1.2430e+1 1.2431e+1 0.058 0.059 1.245e+1 1.246e+1 0.05 0.06 + 1.000000000000000e+01 1.254464788052155e+02 1.136222076562384e-14 1e+1 1.2544e+2 1.2545e+2 0.031 0.032 + 4.999999999999999e+01 6.280479158155819e+02 4.085062088184932e-15 5e+1 6.2803e+2 6.2804e+2 0.02 0.03 + diff --git a/figs/energy_relative_error.fig/simpleq1.dat b/figs/energy_relative_error.fig/simpleq1.dat new file mode 100644 index 0000000..0a9946c --- /dev/null +++ b/figs/energy_relative_error.fig/simpleq1.dat @@ -0,0 +1,13 @@ + 1.000000000000000e-06 7.934458317554763e-06 1.386474846476237e-14 1e-6 7.90e-6 7.91e-6 + 1.000000000000000e-04 8.392960650211980e-04 4.992772141681879e-14 1e-4 8.344e-4 8.345e-4 0.017 0.018 8.355e-4 8.356e-4 0.015 0.016 + 1.000000000000000e-03 9.335885024335848e-03 9.476600935679491e-12 1e-3 9.1338e-3 9.1339e-3 0.048 0.049 9.142e-3 9.143e-3 0.045 0.046 + 4.999999999999999e-03 5.253256909806337e-02 2.904203225041083e-14 5e-3 5.0613e-2 5.0614e-2 0.080 0.081 5.0648e-2 5.0649e-2 0.070 0.071 + 1.000000000000000e-02 1.105504827786785e-01 3.695967730970493e-14 1e-2 1.06107e-1 1.06108e-1 0.087 0.088 1.0627e-1 1.0628e-1 0.073 0.074 + 1.500000000000000e-02 1.702888708763101e-01 2.044316796426063e-14 1.5e-2 1.6337e-1 1.6338e-1 0.090 0.091 1.6342e-1 1.6343e-1 0.088 0.089 + 2.000000000000000e-02 2.309054339970606e-01 1.984104771646051e-14 2e-2 2.2162e-1 2.2163e-1 0.093 0.094 2.2169e-1 2.2170e-1 0.090 0.091 + 5.000000000000000e-02 6.014214358150070e-01 1.045253287889987e-14 5e-2 5.8044e-1 5.8045e-1 0.091 0.092 5.8046e-1 5.8047e-1 0.091 0.092 + 1.000000000000000e-01 1.226000446492040e+00 3.630493925691041e-15 1e-1 1.1918e+0 1.1919e+0 0.088 0.089 1.1919e+0 1.1920e+0 0.085 0.086 + 1.000000000000000e+00 1.253044200066420e+01 1.230015282154983e-13 1e-0 1.2430e+1 1.2431e+1 0.058 0.059 1.245e+1 1.246e+1 0.05 0.06 + 1.000000000000000e+01 1.256270224354739e+02 6.086298884133178e-15 1e+1 1.2544e+2 1.2545e+2 0.031 0.032 + 4.999999999999999e+01 6.282817756461592e+02 1.506690451671515e-15 5e+1 6.2803e+2 6.2804e+2 0.02 0.03 + |