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Ian Jauslin 2017-09-13 23:29:54 +00:00
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2523
Jauslin_Lieb_2017.tex Normal file
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Makefile Normal file
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PROJECTNAME=$(basename $(wildcard *.tex))
LIBS=$(notdir $(wildcard libs/*))
FIGS=$(notdir $(wildcard figs/*.fig))
DIMER_LIBS=dimer.600pk dimer.tfm dimer.sty
PDFS=$(addsuffix .pdf, $(PROJECTNAME))
SYNCTEXS=$(addsuffix .synctex.gz, $(PROJECTNAME))
all: $(PROJECTNAME)
$(PROJECTNAME): $(LIBS) $(FIGS) $(DIMER_LIBS)
pdflatex -file-line-error $@.tex
pdflatex -file-line-error $@.tex
pdflatex -synctex=1 $@.tex
$(PROJECTNAME).aux: $(LIBS) $(FIGS) $(DIMER_LIBS)
pdflatex -file-line-error -draftmode $(PROJECTNAME).tex
$(SYNCTEXS): $(LIBS) $(FIGS) $(DIMER_LIBS)
pdflatex -synctex=1 $(patsubst %.synctex.gz, %.tex, $@)
libs: $(LIBS)
$(LIBS):
ln -fs libs/$@ ./
dimer_font: $(DIMER_LIBS)
$(DIMER_LIBS):
$(MAKE) -C dimer_font
ln -fs dimer_font/$@ ./
figs: $(FIGS)
$(FIGS):
make -C figs/$@
ln -fs figs/$@/*.pdf ./
clean-aux: clean-figs-aux clean-dimer-aux
rm -f $(addsuffix .aux, $(PROJECTNAME))
rm -f $(addsuffix .log, $(PROJECTNAME))
rm -f $(addsuffix .out, $(PROJECTNAME))
rm -f $(addsuffix .toc, $(PROJECTNAME))
clean-libs:
rm -f $(LIBS)
clean-figs:
$(foreach fig,$(addprefix figs/, $(FIGS)), make -C $(fig) clean; )
rm -f $(notdir $(wildcard figs/*.fig/*.pdf))
clean-figs-aux:
$(foreach fig,$(addprefix figs/, $(FIGS)), make -C $(fig) clean-aux; )
clean-dimer:
$(MAKE) -C dimer_font clean
rm -f $(DIMER_LIBS)
clean-dimer-aux:
$(MAKE) -C dimer_font clean-aux
clean-tex:
rm -f $(PDFS) $(SYNCTEXS)
clean: clean-aux clean-tex clean-libs clean-figs clean-dimer

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README Normal file
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This directory contains the source files to typeset the article, and generate
the figures. This can be accomplished by running
make
This document uses a custom class file, located in the 'libs' directory, which
defines a number of commands. Most of these are drop-in replacements for those
defined in the 'article' class.
Some extra functionality is provided in custom style files, located in the
'libs' directory.
* Dependencies:
pdflatex
TeXlive packages:
amsfonts
color
doublestroke
graphics
hyperref
latex
marginnote
pgf
standalone
metafont
mfware
GNU make
python3
* Files:
Jauslin_Lieb_2017.tex:
main LaTeX file
libs:
custom LaTeX class and style files
figs:
source code for the figures
figs/dimer_example.fig/dimer_conf.py:
this python script randomly generates a suitable dimer configuration for
the figures interaction.pdf boundary.pdf bounding_loop.pdf and
dimer_contour.pdf
dimer_font:
metafont font with dimer symbols

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dimer_font/Makefile Normal file
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PROJECTNAME=dimer
dist: $(PROJECTNAME).600pk
$(PROJECTNAME).600gf:
mf '\mode=ljfour; mode_setup; input $(PROJECTNAME).mf'
$(PROJECTNAME).600pk: $(PROJECTNAME).600gf
gftopk $(PROJECTNAME).600gf $(PROJECTNAME).600pk
clean-aux:
rm -f $(PROJECTNAME).600gf
rm -f $(PROJECTNAME).log
clean: clean-aux
rm -f $(PROJECTNAME).600pk
rm -f $(PROJECTNAME).tfm

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dimer_font/dimer.mf Normal file
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%% half-dimer pointing up
% name, width, height, depth
beginchar("a",1.5pt#,7pt#,0);
pickup pencircle scaled 4;
x1=y1=x2=x3=0;
y2=h;
x4=-x5=-y4=-y5=w;
y3=2y4;
draw z1..z2;
draw z1..z4..z3..z5..cycle;
endchar;
%% half-dimer pointing down
beginchar("b",1.5pt#,7pt#,0);
pickup pencircle scaled 4;
x1=x2=x3=0;
y1=h-2w;
y2=-2w;
x4=-x5=w;
y4=y5=h-w;
y3=h;
draw z1..z2;
draw z1..z4..z3..z5..cycle;
endchar;
%% radius for horizontal dimers
r=1.5pt;
%% half-dimer pointing right
beginchar("c",10pt#,4.5pt#,0);
pickup pencircle scaled 4;
y1=y2=y3=h-r;
x3=0;
y4=h;
y5=h-2r;
x4=x5=r;
x1=2r;
x2=w;
draw z1..z2;
draw z1..z4..z3..z5..cycle;
endchar;
%% half-dimer pointing left
beginchar("d",10pt#,4.5pt#,0);
pickup pencircle scaled 4;
y1=y2=y3=h-r;
x3=w;
y4=h;
y5=h-2r;
x4=x5=w-r;
x1=w-2r;
x2=0;
draw z1..z2;
draw z1..z4..z3..z5..cycle;
endchar;
end

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dimer_font/dimer.sty Normal file
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\newfont{\dimer}{dimer}
\def\updimer{\kern3pt\hbox{\dimer a}\kern2pt}
\def\downdimer{\kern3pt\hbox{\dimer b}\kern2pt}
\def\rightdimer{\hbox{\dimer c}}
\def\leftdimer{\hbox{\dimer d}}

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figs/dimer_example.fig/Makefile Normal file
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PROJECTNAME=interaction boundary bounding_loop dimer_contour
LIBS=$(notdir $(wildcard libs/*))
PDFS=$(addsuffix .pdf, $(PROJECTNAME))
SOURCES=$(addsuffix .tikz.tex, $(PROJECTNAME))
all: $(PDFS)
$(PDFS): $(SOURCES) $(LIBS)
echo $(LIBS)
pdflatex -jobname $(basename $@) -file-line-error $(patsubst %.pdf, %.tikz.tex, $@)
$(SOURCES):
python3 dimer_conf.py
$(LIBS):
ln -fs libs/$@ ./
clean-libs:
rm -f $(LIBS)
clean-aux:
rm -f $(addsuffix .aux, $(PROJECTNAME))
rm -f $(addsuffix .log, $(PROJECTNAME))
clean-tex:
rm -f $(PDFS)
clean-sources:
rm -f $(SOURCES)
clean: clean-libs clean-aux clean-tex clean-sources

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figs/dimer_example.fig/dimer_conf.py Normal file
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#!/usr/bin/env python3
import random
from math import *
# size of the grid
L=24
# boundary thickness (must be even)
l0=4
# activity and interaction
z=3
J=5
# draw random dimers in a select area
def fill_dimers(mask,direction):
if(direction=="h"):
d=[1,0]
else:
d=[0,1]
dimers=[]
# keep track of which sites are occupied
occupied=[]
for i in range(L):
occupied.append([])
for j in range(L):
occupied[i].append(0)
for i in range(10000):
# pick a random edge (indexed by its lower-left corner)
e=None
while(e==None or e[0]+d[0]>=L or e[1]+d[1]>=L or mask[e[0]][e[1]]==0 or mask[e[0]+d[0]][e[1]+d[1]]==0):
e=[random.randint(0,L-1),random.randint(0,L-1)]
# check whether a dimer can be added to the edge
if(occupied[e[0]][e[1]]==0 and occupied[e[0]+d[0]][e[1]+d[1]]==0):
# number of interactions
interactions=0
if(e[0]+2*d[0]<L and e[1]+2*d[1]<L and occupied[e[0]+2*d[0]][e[1]+2*d[1]]==1):
interactions=interactions+1
if(e[0]-d[0]>=0 and e[1]-d[1]>=0 and occupied[e[0]-d[0]][e[1]-d[1]]==1):
interactions=interactions+1
# probability of adding the dimer
p=1/(1+1/z*exp(-J*interactions))
if(p>random.random()):
# add dimer
dimers.append(e)
occupied[e[0]][e[1]]=1
occupied[e[0]+d[0]][e[1]+d[1]]=1
return(dimers)
# find interactions
def interactions(dimers,direction):
if(direction=="h"):
d=[1,0]
else:
d=[0,1]
out=[]
for d1 in dimers:
for d2 in dimers:
if(d1[0]-d2[0]==2*d[0] and d1[1]-d2[1]==2*d[1]):
out.append([d2[0]+d[0],d2[1]+d[1]])
return(out)
# find interactions with boundary
def boundary_interactions(dimers,rho):
out=[]
for d in dimers:
for v in rho:
if(d[0]==v[0] and d[1]==v[1]):
out.append([d[0],d[1]-1])
elif(d[0]==v[0] and d[1]==v[1]-1):
out.append([d[0],d[1]+1])
return(out)
# draw dimers
def draw_dimers(v_dimers,h_dimers,file_desc,color):
for d in v_dimers:
print("\\dimer{[color="+color+"]("+str(d[0])+","+str(d[1])+")}v", file=file_desc)
print("", file=file_desc)
for d in h_dimers:
print("\\dimer{[color="+color+"]("+str(d[0])+","+str(d[1])+")}h", file=file_desc)
print("", file=file_desc)
# draw interactions
def draw_interactions(v_interactions,h_interactions,file_desc):
for d in v_interactions:
print("\\interaction{("+str(d[0])+","+str(d[1])+")}v", file=file_desc)
print("", file=file_desc)
for d in h_interactions:
print("\\interaction{("+str(d[0])+","+str(d[1])+")}h", file=file_desc)
print("", file=file_desc)
# draw magnetized part of boundary
def draw_boundary(rho, file_desc):
for v in rho:
print("\\fill[color=red]("+str(v[0])+","+str(v[1])+")circle(10pt);", file=file_desc)
# draw loops
def draw_loops(loops,file_desc,color):
for loop in loops:
print("\\draw[color="+color+", line width=3pt]",end="",file=file_desc)
for e in loop:
print("("+str(e[0])+","+str(e[1])+")--",end="",file=file_desc)
print("cycle;",file=file_desc)
# init tikz file
def init_tikz(filename):
file_desc=open(filename,"w")
print("\\documentclass{standalone}\n\n\\usepackage{tikz}\n\\usepackage{dimer}\n\\usetikzlibrary{decorations.pathmorphing}\n\n\\begin{document}\n\\begin{tikzpicture}\n\n", file=file_desc)
return(file_desc)
# close tikz file
def close_tikz(file_desc):
print("\\end{tikzpicture}\n\\end{document}", file=file_desc)
file_desc.close()
mu=int(L/2)
# loops
loop1=[]
for i in range(0,2*l0):
loop1.append([mu-l0+i,mu+4.5])
for i in range(0,4):
loop1.append([mu+l0-1+0.5,mu+4-i])
for i in range(0,l0):
loop1.append([mu+l0+i,mu+0.5])
for i in range(0,6):
loop1.append([mu+2*l0-1+0.5,mu-i])
for i in range(0,4*l0):
loop1.append([mu+2*l0-1-i,mu-5.5])
for i in range(0,6):
loop1.append([mu-2*l0-0.5,mu-5+i])
for i in range(0,l0):
loop1.append([mu-2*l0+i,mu+0.5])
for i in range(0,4):
loop1.append([mu-l0-0.5,mu+1+i])
# core of loop1
core_loop1=[]
for i in range(0,2*l0-4):
core_loop1.append([mu-l0+2+i,mu+3.5])
for i in range(0,3):
core_loop1.append([mu+l0-3+0.5,mu+3-i])
core_loop1.append([mu+l0-2,mu+0.5])
core_loop1.append([mu+l0-1,mu+0.5])
for i in range(0,l0-2):
core_loop1.append([mu+l0+i,mu-1+0.5])
for i in range(0,4):
core_loop1.append([mu+2*l0-3+0.5,mu-1-i])
for i in range(0,4*l0-4):
core_loop1.append([mu+2*l0-3-i,mu-4.5])
for i in range(0,4):
core_loop1.append([mu-2*l0+2-0.5,mu-4+i])
for i in range(0,l0-2):
core_loop1.append([mu-2*l0+2+i,mu-1+0.5])
core_loop1.append([mu-l0,mu+0.5])
core_loop1.append([mu-l0+1,mu+0.5])
for i in range(0,3):
core_loop1.append([mu-l0+2-0.5,mu+1+i])
loop2=[[mu-1,mu+2.5],[mu-0.5,mu+2],[mu-0.5,mu+1],[mu-1,mu+0.5],[mu-1.5,mu+1],[mu-1.5,mu+2]]
loop3=[[mu-1,mu-1.5],[mu,mu-1.5],[mu+0.5,mu-2],[mu+0.5,mu-3],[mu,mu-3.5],[mu-1,mu-3.5],[mu-1.5,mu-3],[mu-1.5,mu-2]]
loops=[loop1,loop2,loop3]
# masks
# init
v_mask=[]
h_mask=[]
for i in range(L):
v_mask.append([])
h_mask.append([])
for j in range(L):
v_mask[i].append(1)
h_mask[i].append(0)
# draw masks
for i in range(mu-l0,mu+l0):
for j in range(mu+1,mu+5):
v_mask[i][j]=0
for i in range(mu-2*l0,mu+2*l0):
for j in range(mu-5,mu+1):
v_mask[i][j]=0
for i in range(mu-l0+2,mu+l0-2):
for j in range(mu+1,mu+4):
h_mask[i][j]=1
for i in range(mu-l0,mu+l0):
h_mask[i][mu]=1
for i in range(mu-2*l0+2,mu+2*l0-2):
for j in range(mu-4,mu):
h_mask[i][j]=1
h_mask[mu-1][mu+1]=0
h_mask[mu-1][mu+2]=0
h_mask[mu-1][mu-3]=0
h_mask[mu-1][mu-2]=0
h_mask[mu][mu-3]=0
h_mask[mu][mu-2]=0
# random dimers in mask
v_dimers=fill_dimers(v_mask,"v")
h_dimers=fill_dimers(h_mask,"h")
# mantle dimers
h_mantle=[]
for i in range(0,l0):
h_mantle.append([mu-l0+2*i,mu+4])
for i in range(0,4):
h_mantle.append([mu+l0-2,mu+4-i])
h_mantle.append([mu-l0,mu+4-i])
for i in range(0,int(l0/2)):
h_mantle.append([mu+l0+2*i,mu])
h_mantle.append([mu-l0-2-2*i,mu])
for i in range(0,5):
h_mantle.append([mu+2*l0-2,mu-i])
h_mantle.append([mu-2*l0,mu-i])
for i in range(0,2*l0):
h_mantle.append([mu-2*l0+2*i,mu-5])
v_mantle=[]
v_mantle.append([mu-1,mu+1])
v_mantle.append([mu-1,mu-3])
v_mantle.append([mu,mu-3])
# interactions
v_interactions=interactions(v_dimers+v_mantle,"v")
h_interactions=interactions(h_dimers+h_mantle,"h")
# magnetized part of the boundary
rho=[]
for i in range(0,L):
if(random.randint(0,1)==0):
rho.append([i,0])
if(random.randint(0,1)==0):
rho.append([i,L-1])
# files
interaction=init_tikz("interaction.tikz.tex")
print("\\grid{"+str(L-1)+"}{"+str(L-1)+"}{(0,0)}\n", file=interaction)
draw_interactions(v_interactions,h_interactions,interaction)
draw_dimers(v_dimers+v_mantle,h_dimers+h_mantle,interaction,"black")
close_tikz(interaction)
boundary=init_tikz("boundary.tikz.tex")
print("\\fill[color=cyan](-0.5,-0.5)--++("+str(L)+",0)--++(0,"+str(l0)+")--++("+str(-L)+",0)--cycle;", file=boundary)
print("\\fill[color=cyan](-0.5,"+str(L-l0-0.5)+")--++("+str(L)+",0)--++(0,"+str(l0)+")--++("+str(-L)+",0)--cycle;", file=boundary)
print("", file=boundary)
draw_boundary(rho,boundary)
print("\\grid{"+str(L-1)+"}{"+str(L-1)+"}{(0,0)}\n", file=boundary)
draw_interactions(boundary_interactions(v_dimers,rho),[],boundary)
draw_dimers(v_dimers+v_mantle,h_dimers+h_mantle,boundary,"black")
close_tikz(boundary)
bounding_loop=init_tikz("bounding_loop.tikz.tex")
print("\\begin{scope}", file=bounding_loop)
print(" \\clip", end="", file=bounding_loop)
for e in loop1:
print("("+str(e[0])+","+str(e[1])+")--", end="", file=bounding_loop)
print("cycle;",file=bounding_loop)
print(" \\fill[color=cyan]("+str(mu-2*l0-2)+","+str(mu-7)+")--++("+str(4*l0+3)+",0)--++(0,13)--++("+str(-4*l0-3)+",0);", file=bounding_loop)
print(" \\fill[color=red]", end="", file=bounding_loop)
for e in core_loop1:
print("("+str(e[0])+","+str(e[1])+")--", end="", file=bounding_loop)
print("cycle;",file=bounding_loop)
print("\\end{scope}\n", file=bounding_loop)
print("\\grid{"+str(4*l0+3)+"}{"+str(13)+"}{("+str(mu-2*l0-2)+","+str(mu-7)+")}\n", file=bounding_loop)
draw_loops([loop1],bounding_loop,"black")
close_tikz(bounding_loop)
contour=init_tikz("dimer_contour.tikz.tex")
print("\\draw[color=green, line width=15pt]("+str(mu-2-0.5)+","+str(mu+1)+")--++(1,0);", file=contour)
print("\\draw[color=green, line width=15pt]("+str(mu-2-0.5)+","+str(mu+2)+")--++(1,0);", file=contour)
print("\\draw[color=green, line width=15pt]("+str(mu-0.5)+","+str(mu+1)+")--++(2,0);", file=contour)
print("\\draw[color=green, line width=15pt]("+str(mu-0.5)+","+str(mu+2)+")--++(2,0);", file=contour)
print("\\grid{"+str(L-1)+"}{"+str(L-1)+"}{(0,0)}\n", file=contour)
draw_loops([loop1,loop2],contour,"green")
draw_loops([loop3],contour,"blue")
draw_interactions(v_interactions,h_interactions,contour)
draw_dimers(v_dimers,h_dimers,contour,"black")
draw_dimers(v_mantle,h_mantle,contour,"gray")
close_tikz(contour)

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figs/dimer_example.fig/libs/dimer.sty Symbolic link
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../../libs/dimer.sty

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figs/libs/Makefile Normal file
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PROJECTNAME=$(basename $(basename $(wildcard *.tikz.tex)))
LIBS=$(notdir $(wildcard libs/*))
PDFS=$(addsuffix .pdf, $(PROJECTNAME))
all: $(PDFS)
$(PDFS): $(LIBS)
echo $(LIBS)
pdflatex -jobname $(basename $@) -file-line-error $(patsubst %.pdf, %.tikz.tex, $@)
$(LIBS):
ln -fs libs/$@ ./
clean-libs:
rm -f $(LIBS)
clean-aux:
rm -f $(addsuffix .aux, $(PROJECTNAME))
rm -f $(addsuffix .log, $(PROJECTNAME))
clean-tex:
rm -f $(PDFS)
clean: clean-libs clean-aux clean-tex

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figs/libs/dimer.sty Normal file
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% square lattice (width #1, height #2, origin #3)
\def\grid#1#2#3{
\foreach\i in {0,...,#2}{
\draw#3++(0,\i)--++(#1,0);
}
\foreach\i in {0,...,#1}{
\draw#3++(\i,0)--++(0,#2);
}
}
% dimer (bottom-left vertex #1, vertical or horizontal #2)
\def\dimer#1#2{
\if#2h
\draw[line width=5pt]#1--++(1,0);
\fill#1circle(7pt);
\fill#1++(1,0)circle(7pt);
\else
\draw[line width=5pt]#1--++(0,1);
\fill#1circle(7pt);
\fill#1++(0,1)circle(7pt);
\fi
}
% interactions (bottom-left vertex #1, vertical or horizontal #2)
\def\interaction#1#2{
\if#2h
\draw[line width=5pt, color=white]#1--++(1,0);
\draw[line width=4pt, decorate, decoration={snake}, color=red]#1--++(1,0);
\else
\draw[line width=5pt, color=white]#1--++(0,1);
\draw[line width=4pt, decorate, decoration={snake}, color=red]#1--++(0,1);
\fi
}

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figs/polymer_example.fig/Makefile Symbolic link
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../libs/Makefile

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figs/polymer_example.fig/contours.tikz.tex Normal file
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\documentclass{standalone}
\usepackage{tikz}
\usepackage{dimer}
\begin{document}
\begin{tikzpicture}
%% mantles
% blue
\fill[color=red](2,6.5)--++(13,0)--++(0.5,0.5)--++(0,8)--++(-0.5,0.5)--++(-13,0)--++(-0.5,-0.5)--++(0,-8)--cycle;
\fill[color=white](4,7.5)--++(9,0)--++(0.5,0.5)--++(0,6)--++(-0.5,0.5)--++(-9,0)--++(-0.5,-0.5)--++(0,-6)--cycle;
% red
\fill[color=red](6,8.5)--++(4,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-4,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
\fill[color=white](7,10.5)--++(2,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-2,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
% teal
\fill[color=blue](9,19.5)--++(9,0)--++(0.5,-0.5)--++(0,-10)--++(0.5,-0.5)--++(15,0)--++(0.5,0.5)--++(0,22)--++(-0.5,0.5)--++(-25,0)--++(-0.5,-0.5)--++(0,-11)--cycle;
\fill[color=white](11,20.5)--++(7,0)--++(0.5,-0.5)--++(0.5,-0.5)--++(1,0)--++(0.5,-0.5)--++(0,-9)--++(0.5,-0.5)--++(11,0)--++(0.5,0.5)--++(0,20)--++(-0.5,0.5)--++(-21,0)--++(-0.5,-0.5)--++(0,-9)--cycle;
% magenta
\fill[color=blue](13,21.5)--++(18,0)--++(0.5,0.5)--++(0,7)--++(-0.5,0.5)--++(-18,0)--++(-0.5,-0.5)--++(0,-7)--cycle;
\fill[color=white](14,23.5)--++(16,0)--++(0.5,0.5)--++(0,3)--++(-0.5,0.5)--++(-16,0)--++(-0.5,-0.5)--++(0,-3)--cycle;
% cyan
\fill[color=blue](23,11.5)--++(7,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-7,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
\fill[color=white](24,13.5)--++(5,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-5,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
% orange
\fill[color=blue](15,23.5)--++(5,0)--++(0.5,0.5)--++(0,3)--++(-0.5,0.5)--++(-5,0)--++(-0.5,-0.5)--++(0,-3)--cycle;
\fill[color=white](17,24.5)--++(1,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-1,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
% green
\fill[color=blue](23,24.5)--++(3,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-3,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
%% segments
\foreach \i in {9,...,14}{
\draw[color=red, line width=15pt](3.5,\i)--++(2,0);
\draw[color=red, line width=15pt](10.5,\i)--++(3,0);
}
\foreach \i in {12,...,17}{
\draw[color=blue, line width=15pt](20.5,\i)--++(2,0);
\draw[color=blue, line width=15pt](30.5,\i)--++(2,0);
}
\foreach \i in {22,...,29}{
\draw[color=blue, line width=15pt](10.5,\i)--++(2,0);
\draw[color=blue, line width=15pt](31.5,\i)--++(1,0);
}
\foreach \i in {23,...,26}{
\draw[color=blue, line width=15pt](\i,23.5)--++(0,1);
\draw[color=blue, line width=15pt](\i,26.5)--++(0,1);
}
%% grid
\grid{36}{36}{[color=lightgray](0,0)}
%% loops
\draw[color=black, line width=5pt](2,6.5)--++(13,0)--++(0.5,0.5)--++(0,8)--++(-0.5,0.5)--++(-13,0)--++(-0.5,-0.5)--++(0,-8)--cycle;
\draw[color=black, line width=5pt](6,8.5)--++(4,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-4,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
\draw[color=black, line width=5pt](9,19.5)--++(9,0)--++(0.5,-0.5)--++(0,-10)--++(0.5,-0.5)--++(15,0)--++(0.5,0.5)--++(0,22)--++(-0.5,0.5)--++(-25,0)--++(-0.5,-0.5)--++(0,-11)--cycle;
\draw[color=black, line width=5pt](13,21.5)--++(18,0)--++(0.5,0.5)--++(0,7)--++(-0.5,0.5)--++(-18,0)--++(-0.5,-0.5)--++(0,-7)--cycle;
\draw[color=black, line width=5pt](23,11.5)--++(7,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-7,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
\draw[color=black, line width=5pt](15,23.5)--++(5,0)--++(0.5,0.5)--++(0,3)--++(-0.5,0.5)--++(-5,0)--++(-0.5,-0.5)--++(0,-3)--cycle;
\draw[color=black, line width=5pt](23,24.5)--++(3,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-3,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
\end{tikzpicture}
\end{document}

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figs/polymer_example.fig/inclusion_tree.tikz.tex Normal file
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\documentclass{standalone}
\usepackage{tikz}
\usepackage{dimer}
\begin{document}
\begin{tikzpicture}
\path(0,0)coordinate(root);
\path(root)++(45:1)coordinate(teal);
\path(root)++(135:1)coordinate(blue);
\path(blue)++(135:1)coordinate(red);
\path(teal)++(135:1)coordinate(cyan);
\path(teal)++(45:1)coordinate(magenta);
\path(magenta)++(135:1)coordinate(orange);
\path(magenta)++(45:1)coordinate(green);
\draw(root)--(teal);
\draw(root)--(blue);
\draw(blue)--(red);
\draw(teal)--(cyan);
\draw(teal)--(magenta);
\draw(magenta)--(orange);
\draw(magenta)--(green);
\fill[color=black](root)circle(3pt);
\fill[color=teal](teal)circle(3pt);
\fill[color=blue](blue)circle(3pt);
\fill[color=red](red)circle(3pt);
\fill[color=cyan](cyan)circle(3pt);
\fill[color=magenta](magenta)circle(3pt);
\fill[color=orange](orange)circle(3pt);
\fill[color=green](green)circle(3pt);
\draw[color=black](blue)++(-135:0.3)node{\footnotesize\it a};
\draw[color=black](red)++(-135:0.3)node{\footnotesize\it b};
\draw[color=black](teal)++(-45:0.3)node{\footnotesize\it c};
\draw[color=black](magenta)++(-45:0.3)node{\footnotesize\it d};
\draw[color=black](cyan)++(-135:0.3)node{\footnotesize\it e};
\draw[color=black](orange)++(-135:0.3)node{\footnotesize\it f};
\draw[color=black](green)++(-45:0.3)node{\footnotesize\it g};
\end{tikzpicture}
\end{document}

1
figs/polymer_example.fig/libs/dimer.sty Symbolic link
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../../libs/dimer.sty

30
figs/polymer_example.fig/lollipops-tree.tikz.tex Normal file
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\documentclass{standalone}
\usepackage{tikz}
\usepackage{dimer}
\begin{document}
\begin{tikzpicture}
\path(0,0)coordinate(blue);
\path(blue)++(45:1)coordinate(red);
\path(blue)++(135:1)coordinate(teal);
\path(teal)++(135:1)coordinate(cyan);
\draw(blue)--(red);
\draw(blue)--(teal);
\draw(teal)--(cyan);
\fill[color=blue](blue)circle(3pt);
\fill[color=red](red)circle(3pt);
\fill[color=teal](teal)circle(3pt);
\fill[color=cyan](cyan)circle(3pt);
\draw[color=black](blue)++(-135:0.3)node{\footnotesize\it a};
\draw[color=black](red)++(-45:0.3)node{\footnotesize\it b};
\draw[color=black](teal)++(-135:0.3)node{\footnotesize\it c};
\draw[color=black](cyan)++(-135:0.3)node{\footnotesize\it e};
\end{tikzpicture}
\end{document}

76
figs/polymer_example.fig/lollipops.tikz.tex Normal file
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\documentclass{standalone}
\usepackage{tikz}
\usepackage{dimer}
\begin{document}
\begin{tikzpicture}[scale=0.2]
%% mantles
% blue
\fill[color=blue](2,6.5)--++(13,0)--++(0.5,0.5)--++(0,8)--++(-0.5,0.5)--++(-13,0)--++(-0.5,-0.5)--++(0,-8)--cycle;
\fill[color=white](4,7.5)--++(9,0)--++(0.5,0.5)--++(0,6)--++(-0.5,0.5)--++(-9,0)--++(-0.5,-0.5)--++(0,-6)--cycle;
% red
\fill[color=red](6,8.5)--++(4,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-4,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
\fill[color=white](7,10.5)--++(2,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-2,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
% teal
\fill[color=teal](9,19.5)--++(9,0)--++(0.5,-0.5)--++(0,-10)--++(0.5,-0.5)--++(15,0)--++(0.5,0.5)--++(0,22)--++(-0.5,0.5)--++(-25,0)--++(-0.5,-0.5)--++(0,-11)--cycle;
\fill[color=white](11,20.5)--++(7,0)--++(0.5,-0.5)--++(0.5,-0.5)--++(1,0)--++(0.5,-0.5)--++(0,-9)--++(0.5,-0.5)--++(11,0)--++(0.5,0.5)--++(0,20)--++(-0.5,0.5)--++(-21,0)--++(-0.5,-0.5)--++(0,-9)--cycle;
% magenta
\fill[color=teal](13,21.5)--++(18,0)--++(0.5,0.5)--++(0,7)--++(-0.5,0.5)--++(-18,0)--++(-0.5,-0.5)--++(0,-7)--cycle;
\fill[color=white](14,23.5)--++(16,0)--++(0.5,0.5)--++(0,3)--++(-0.5,0.5)--++(-16,0)--++(-0.5,-0.5)--++(0,-3)--cycle;
% cyan
\fill[color=cyan](23,11.5)--++(7,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-7,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
\fill[color=white](24,13.5)--++(5,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-5,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
% orange
\fill[color=teal](15,23.5)--++(5,0)--++(0.5,0.5)--++(0,3)--++(-0.5,0.5)--++(-5,0)--++(-0.5,-0.5)--++(0,-3)--cycle;
\fill[color=white](17,24.5)--++(1,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-1,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
% green
\fill[color=teal](23,24.5)--++(3,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-3,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
%% segments
\draw[color=teal, line width=3pt](10,15.5)--++(0,4);
\draw[color=red, line width=3pt](3.5,12)--++(2,0);
\draw[color=cyan, line width=3pt](20.5,14)--++(2,0);
\foreach \i in {22,...,29}{
\draw[color=teal, line width=3pt](31.5,\i)--++(1,0);
}
\foreach \i in {23,...,26}{
\draw[color=teal, line width=3pt](\i,23.5)--++(0,1);
\draw[color=teal, line width=3pt](\i,26.5)--++(0,1);
}
%% grid
\grid{36}{36}{[color=lightgray](0,0)}
%% loops
\draw[color=black, line width=1pt](2,6.5)--++(13,0)--++(0.5,0.5)--++(0,8)--++(-0.5,0.5)--++(-13,0)--++(-0.5,-0.5)--++(0,-8)--cycle;
\draw[color=black](2,16.5)node{\it a};
\draw[color=black, line width=1pt](6,8.5)--++(4,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-4,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
\draw[color=black](4.5,13)node{\it b};
\draw[color=black, line width=1pt](9,19.5)--++(9,0)--++(0.5,-0.5)--++(0,-10)--++(0.5,-0.5)--++(15,0)--++(0.5,0.5)--++(0,22)--++(-0.5,0.5)--++(-25,0)--++(-0.5,-0.5)--++(0,-11)--cycle;
\draw[color=black](9,32.5)node{\it c};
\draw[color=black, line width=1pt](13,21.5)--++(18,0)--++(0.5,0.5)--++(0,7)--++(-0.5,0.5)--++(-18,0)--++(-0.5,-0.5)--++(0,-7)--cycle;
\draw[color=black, line width=1pt](23,11.5)--++(7,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-7,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
\draw[color=black](23,18.5)node{\it e};
\draw[color=black, line width=1pt](15,23.5)--++(5,0)--++(0.5,0.5)--++(0,3)--++(-0.5,0.5)--++(-5,0)--++(-0.5,-0.5)--++(0,-3)--cycle;
\draw[color=black, line width=1pt](23,24.5)--++(3,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-3,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
\end{tikzpicture}
\end{document}

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figs/polymer_example.fig/loops.tikz.tex Normal file
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\documentclass{standalone}
\usepackage{tikz}
\usepackage{dimer}
\begin{document}
\begin{tikzpicture}[scale=0.2]
\grid{36}{36}{[color=lightgray](0,0)}
\draw[color=blue, line width=1pt](2,6.5)--++(13,0)--++(0.5,0.5)--++(0,8)--++(-0.5,0.5)--++(-13,0)--++(-0.5,-0.5)--++(0,-8)--cycle;
\draw[color=black](2,16.5)node{\it a};
\draw[color=red, line width=1pt](6,8.5)--++(4,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-4,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
\draw[color=black](4.5,13)node{\it b};
\draw[color=teal, line width=1pt](9,19.5)--++(9,0)--++(0.5,-0.5)--++(0,-10)--++(0.5,-0.5)--++(15,0)--++(0.5,0.5)--++(0,22)--++(-0.5,0.5)--++(-25,0)--++(-0.5,-0.5)--++(0,-11)--cycle;
\draw[color=black](9,32.5)node{\it c};
\draw[color=magenta, line width=1pt](13,21.5)--++(18,0)--++(0.5,0.5)--++(0,7)--++(-0.5,0.5)--++(-18,0)--++(-0.5,-0.5)--++(0,-7)--cycle;
\draw[color=black](13,30.5)node{\it d};
\draw[color=cyan, line width=1pt](23,11.5)--++(7,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-7,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
\draw[color=black](23,18.5)node{\it e};
\draw[color=orange, line width=1pt](15,23.5)--++(5,0)--++(0.5,0.5)--++(0,3)--++(-0.5,0.5)--++(-5,0)--++(-0.5,-0.5)--++(0,-3)--cycle;
\draw[color=black](15,28.5)node{\it f};
\draw[color=green, line width=1pt](23,24.5)--++(3,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-3,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
\draw[color=black](23,27.5)node{\it g};
\end{tikzpicture}
\end{document}

76
figs/polymer_example.fig/polymers.tikz.tex Normal file
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\documentclass{standalone}
\usepackage{tikz}
\usepackage{dimer}
\begin{document}
\begin{tikzpicture}
%% mantles
% blue
\fill[color=gray](2,6.5)--++(13,0)--++(0.5,0.5)--++(0,8)--++(-0.5,0.5)--++(-13,0)--++(-0.5,-0.5)--++(0,-8)--cycle;
\fill[color=white](4,7.5)--++(9,0)--++(0.5,0.5)--++(0,6)--++(-0.5,0.5)--++(-9,0)--++(-0.5,-0.5)--++(0,-6)--cycle;
% red
\fill[color=gray](6,8.5)--++(4,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-4,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
\fill[color=white](7,10.5)--++(2,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-2,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
% teal
\fill[color=gray](9,19.5)--++(9,0)--++(0.5,-0.5)--++(0,-10)--++(0.5,-0.5)--++(15,0)--++(0.5,0.5)--++(0,22)--++(-0.5,0.5)--++(-25,0)--++(-0.5,-0.5)--++(0,-11)--cycle;
\fill[color=white](11,20.5)--++(7,0)--++(0.5,-0.5)--++(0.5,-0.5)--++(1,0)--++(0.5,-0.5)--++(0,-9)--++(0.5,-0.5)--++(11,0)--++(0.5,0.5)--++(0,20)--++(-0.5,0.5)--++(-21,0)--++(-0.5,-0.5)--++(0,-9)--cycle;
% magenta
\fill[color=gray](13,21.5)--++(18,0)--++(0.5,0.5)--++(0,7)--++(-0.5,0.5)--++(-18,0)--++(-0.5,-0.5)--++(0,-7)--cycle;
\fill[color=white](14,23.5)--++(16,0)--++(0.5,0.5)--++(0,3)--++(-0.5,0.5)--++(-16,0)--++(-0.5,-0.5)--++(0,-3)--cycle;
% cyan
\fill[color=gray](23,11.5)--++(7,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-7,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
\fill[color=white](24,13.5)--++(5,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-5,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
% orange
\fill[color=gray](15,23.5)--++(5,0)--++(0.5,0.5)--++(0,3)--++(-0.5,0.5)--++(-5,0)--++(-0.5,-0.5)--++(0,-3)--cycle;
\fill[color=white](17,24.5)--++(1,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-1,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
% green
\fill[color=gray](23,24.5)--++(3,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-3,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
%% segments
\draw[color=gray, line width=15pt](4,-0.5)--++(0,7);
\draw[color=gray, line width=15pt](10,15.5)--++(0,4);
\draw[color=gray, line width=15pt](11,15.5)--++(0,4);
\draw[color=gray, line width=15pt](9,31.5)--++(0,5);
\foreach \i in {9,...,14}{
\draw[color=gray, line width=15pt](3.5,\i)--++(2,0);
\draw[color=gray, line width=15pt](10.5,\i)--++(3,0);
}
\foreach \i in {12,...,17}{
\draw[color=gray, line width=15pt](20.5,\i)--++(2,0);
\draw[color=gray, line width=15pt](30.5,\i)--++(2,0);
}
\foreach \i in {22,...,29}{
\draw[color=gray, line width=15pt](10.5,\i)--++(2,0);
\draw[color=gray, line width=15pt](31.5,\i)--++(1,0);
}
\foreach \i in {23,...,26}{
\draw[color=gray, line width=15pt](\i,23.5)--++(0,1);
\draw[color=gray, line width=15pt](\i,26.5)--++(0,1);
}
%% grid
\grid{36}{36}{[color=lightgray](0,0)}
%% loops
\draw[color=black, line width=5pt](2,6.5)--++(13,0)--++(0.5,0.5)--++(0,8)--++(-0.5,0.5)--++(-13,0)--++(-0.5,-0.5)--++(0,-8)--cycle;
\draw[color=black, line width=5pt](6,8.5)--++(4,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-4,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
\draw[color=black, line width=5pt](9,19.5)--++(9,0)--++(0.5,-0.5)--++(0,-10)--++(0.5,-0.5)--++(15,0)--++(0.5,0.5)--++(0,22)--++(-0.5,0.5)--++(-25,0)--++(-0.5,-0.5)--++(0,-11)--cycle;
\draw[color=black, line width=5pt](13,21.5)--++(18,0)--++(0.5,0.5)--++(0,7)--++(-0.5,0.5)--++(-18,0)--++(-0.5,-0.5)--++(0,-7)--cycle;
\draw[color=black, line width=5pt](23,11.5)--++(7,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-7,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
\draw[color=black, line width=5pt](15,23.5)--++(5,0)--++(0.5,0.5)--++(0,3)--++(-0.5,0.5)--++(-5,0)--++(-0.5,-0.5)--++(0,-3)--cycle;
\draw[color=black, line width=5pt](23,24.5)--++(3,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-3,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
\end{tikzpicture}
\end{document}

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figs/polymer_example.fig/segments.tikz.tex Normal file
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\documentclass{standalone}
\usepackage{tikz}
\usepackage{dimer}
\begin{document}
\begin{tikzpicture}
%% mantles
% blue
\fill[color=blue](2,6.5)--++(13,0)--++(0.5,0.5)--++(0,8)--++(-0.5,0.5)--++(-13,0)--++(-0.5,-0.5)--++(0,-8)--cycle;
\fill[color=white](4,7.5)--++(9,0)--++(0.5,0.5)--++(0,6)--++(-0.5,0.5)--++(-9,0)--++(-0.5,-0.5)--++(0,-6)--cycle;
% red
\fill[color=red](6,8.5)--++(4,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-4,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
\fill[color=white](7,10.5)--++(2,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-2,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
% teal
\fill[color=teal](9,19.5)--++(9,0)--++(0.5,-0.5)--++(0,-10)--++(0.5,-0.5)--++(15,0)--++(0.5,0.5)--++(0,22)--++(-0.5,0.5)--++(-25,0)--++(-0.5,-0.5)--++(0,-11)--cycle;
\fill[color=white](11,20.5)--++(7,0)--++(0.5,-0.5)--++(0.5,-0.5)--++(1,0)--++(0.5,-0.5)--++(0,-9)--++(0.5,-0.5)--++(11,0)--++(0.5,0.5)--++(0,20)--++(-0.5,0.5)--++(-21,0)--++(-0.5,-0.5)--++(0,-9)--cycle;
% magenta
\fill[color=magenta](13,21.5)--++(18,0)--++(0.5,0.5)--++(0,7)--++(-0.5,0.5)--++(-18,0)--++(-0.5,-0.5)--++(0,-7)--cycle;
\fill[color=white](14,23.5)--++(16,0)--++(0.5,0.5)--++(0,3)--++(-0.5,0.5)--++(-16,0)--++(-0.5,-0.5)--++(0,-3)--cycle;
% cyan
\fill[color=cyan](23,11.5)--++(7,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-7,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
\fill[color=white](24,13.5)--++(5,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-5,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
% orange
\fill[color=orange](15,23.5)--++(5,0)--++(0.5,0.5)--++(0,3)--++(-0.5,0.5)--++(-5,0)--++(-0.5,-0.5)--++(0,-3)--cycle;
\fill[color=white](17,24.5)--++(1,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-1,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
% green
\fill[color=green](23,24.5)--++(3,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-3,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
%% segments
\foreach \i in {0,...,1}{
\draw[color=gray, line width=15pt](\i,-0.5)--++(0,37);
}
\foreach \i in {2,...,8}{
\draw[color=gray, line width=15pt](\i,-0.5)--++(0,7);
\draw[color=gray, line width=15pt](\i,15.5)--++(0,21);
}
\foreach \i in {9,...,15}{
\draw[color=gray, line width=15pt](\i,-0.5)--++(0,7);
\draw[color=gray, line width=15pt](\i,15.5)--++(0,4);
\draw[color=gray, line width=15pt](\i,31.5)--++(0,5);
}
\foreach \i in {16,...,18}{
\draw[color=gray, line width=15pt](\i,-0.5)--++(0,20);
\draw[color=gray, line width=15pt](\i,31.5)--++(0,5);
}
\foreach \i in {19,...,34}{
\draw[color=gray, line width=15pt](\i,-0.5)--++(0,9);
\draw[color=gray, line width=15pt](\i,31.5)--++(0,5);
}
\foreach \i in {35,...,36}{
\draw[color=gray, line width=15pt](\i,-0.5)--++(0,37);
}
\draw[color=blue, line width=15pt](3.5,8)--++(10,0);
\foreach \i in {9,...,14}{
\draw[color=blue, line width=15pt](3.5,\i)--++(2,0);
\draw[color=blue, line width=15pt](10.5,\i)--++(3,0);
}
\foreach \i in {7,...,9}{
\draw[color=red, line width=15pt](\i,10.5)--++(0,2);
}
\foreach \i in {10,...,11}{
\draw[color=teal, line width=15pt](20.5,\i)--++(12,0);
}
\foreach \i in {12,...,17}{
\draw[color=teal, line width=15pt](20.5,\i)--++(2,0);
\draw[color=teal, line width=15pt](30.5,\i)--++(2,0);
}
\foreach \i in {18,...,19}{
\draw[color=teal, line width=15pt](20.5,\i)--++(12,0);
}
\draw[color=teal, line width=15pt](18.5,20)--++(14,0);
\draw[color=teal, line width=15pt](10.5,21)--++(22,0);
\foreach \i in {22,...,29}{
\draw[color=teal, line width=15pt](10.5,\i)--++(2,0);
\draw[color=teal, line width=15pt](31.5,\i)--++(1,0);
}
\draw[color=teal, line width=15pt](10.5,30)--++(22,0);
\foreach \i in {24,...,29}{
\draw[color=cyan, line width=15pt](\i,13.5)--++(0,2);
}
\draw[color=magenta, line width=15pt](14,23.5)--++(0,4);
\foreach \i in {21,...,22}{
\draw[color=magenta, line width=15pt](\i,23.5)--++(0,4);
}
\foreach \i in {23,...,26}{
\draw[color=magenta, line width=15pt](\i,23.5)--++(0,1);
\draw[color=magenta, line width=15pt](\i,26.5)--++(0,1);
}
\foreach \i in {27,...,30}{
\draw[color=magenta, line width=15pt](\i,23.5)--++(0,4);
}
\foreach \i in {25,...,26}{
\draw[color=orange, line width=15pt](16.5,\i)--++(2,0);
}
%% grid
\grid{36}{36}{[color=lightgray](0,0)}
%% loops
% blue
\draw[color=black, line width=5pt](2,6.5)--++(13,0)--++(0.5,0.5)--++(0,8)--++(-0.5,0.5)--++(-13,0)--++(-0.5,-0.5)--++(0,-8)--cycle;
% red
\draw[color=black, line width=5pt](6,8.5)--++(4,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-4,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
% teal
\draw[color=black, line width=5pt](9,19.5)--++(9,0)--++(0.5,-0.5)--++(0,-10)--++(0.5,-0.5)--++(15,0)--++(0.5,0.5)--++(0,22)--++(-0.5,0.5)--++(-25,0)--++(-0.5,-0.5)--++(0,-11)--cycle;
% magenta
\draw[color=black, line width=5pt](13,21.5)--++(18,0)--++(0.5,0.5)--++(0,7)--++(-0.5,0.5)--++(-18,0)--++(-0.5,-0.5)--++(0,-7)--cycle;
% cyan
\draw[color=black, line width=5pt](23,11.5)--++(7,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-7,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
% orange
\draw[color=black, line width=5pt](15,23.5)--++(5,0)--++(0.5,0.5)--++(0,3)--++(-0.5,0.5)--++(-5,0)--++(-0.5,-0.5)--++(0,-3)--cycle;
%green
\draw[color=black, line width=5pt](23,24.5)--++(3,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-3,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
\end{tikzpicture}
\end{document}

1
figs/smallest.fig/Makefile Symbolic link
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../libs/Makefile

1
figs/smallest.fig/libs/dimer.sty Symbolic link
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../../libs/dimer.sty

16
figs/smallest.fig/smallest-18.tikz.tex Normal file
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\documentclass{standalone}
\usepackage{tikz}
\usepackage{dimer}
\begin{document}
\begin{tikzpicture}
\fill[color=gray](2,0.5)--++(3,0)--++(1.5,1.5)--++(-1.5,1.5)--++(-3,0)--++(-1.5,-1.5)--cycle;
\fill[color=white](3,1.5)--++(1,0)--++(0.5,0.5)--++(-0.5,0.5)--++(-1,0)--++(-0.5,-0.5)--cycle;
\grid{7}{4}{[color=lightgray](0,0)}
\draw[color=black, line width=5pt](2,0.5)--++(3,0)--++(1.5,1.5)--++(-1.5,1.5)--++(-3,0)--++(-1.5,-1.5)--cycle;
\end{tikzpicture}
\end{document}

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figs/smallest.fig/smallest-6.tikz.tex Normal file
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\documentclass{standalone}
\usepackage{tikz}
\usepackage{dimer}
\begin{document}
\begin{tikzpicture}
\fill[color=gray](1,0.5)--++(1,0)--++(0.5,0.5)--++(-0.5,0.5)--++(-1,0)--++(-0.5,-0.5)--cycle;
\grid{3}{2}{[color=lightgray](0,0)}
\draw[color=black, line width=5pt](1,0.5)--++(1,0)--++(0.5,0.5)--++(-0.5,0.5)--++(-1,0)--++(-0.5,-0.5)--cycle;
\end{tikzpicture}
\end{document}

32
libs/constants.sty Normal file
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%%
%% constants package:
%% automatically numbered constants
%%
%% TeX format
\NeedsTeXFormat{LaTeX2e}[1995/12/01]
%% package name
\ProvidesPackage{constants}[2016/11/19]
%% declare new constant
\def\cst#1#2{%
% check whether the constant was defined
\ifcsname cst@#1@#2\endcsname%
#1_{\csname cst@#1@#2\endcsname}%
\else%
% check whether this character has a counter associated to it
\ifcsname thecst@#1@@count\endcsname%
\else%
\newcounter{cst@#1@@count}%
\fi%
% increment counter
\stepcounter{cst@#1@@count}%
\expandafter\xdef\csname cst@#1@#2\endcsname{\csname thecst@#1@@count\endcsname}#1_{\csname thecst@#1@@count\endcsname}%
\fi
}
%% end
\endinput

658
libs/ian.cls Normal file
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%%
%% Ian's class file
%%
%% TeX format
\NeedsTeXFormat{LaTeX2e}[1995/12/01]
%% class name
\ProvidesClass{ian}[2017/09/15]
%% boolean to signal that this class is being used
\newif\ifianclass
%% options
% no section numbering in equations
\DeclareOption{section_in_eq}{\sectionsineqtrue}
\DeclareOption{section_in_fig}{\sectionsinfigtrue}
\DeclareOption{section_in_theo}{\PassOptionsToPackage{\CurrentOption}{iantheo}}
\DeclareOption{section_in_all}{\sectionsineqtrue\sectionsinfigtrue\PassOptionsToPackage{section_in_theo}{iantheo}}
\DeclareOption{subsection_in_eq}{\subsectionsineqtrue}
\DeclareOption{subsection_in_fig}{\subsectionsinfigtrue}
\DeclareOption{subsection_in_theo}{\PassOptionsToPackage{\CurrentOption}{iantheo}}
\DeclareOption{subsection_in_all}{\subsectionsineqtrue\subsectionsinfigtrue\PassOptionsToPackage{subsection_in_theo}{iantheo}}
\DeclareOption{no_section_in_eq}{\sectionsineqfalse}
\DeclareOption{no_section_in_fig}{\sectionsinfigfalse}
\DeclareOption{no_section_in_theo}{\PassOptionsToPackage{\CurrentOption}{iantheo}}
\DeclareOption{no_section_in_all}{\sectionsineqfalse\sectionsinfigfalse\PassOptionsToPackage{no_section_in_theo}{iantheo}}
\DeclareOption{no_subsection_in_eq}{\subsectionsineqfalse}
\DeclareOption{no_subsection_in_fig}{\subsectionsinfigfalse}
\DeclareOption{no_subsection_in_theo}{\PassOptionsToPackage{\CurrentOption}{iantheo}}
\DeclareOption{no_subsection_in_all}{\subsectionsineqfalse\subsectionsinfigfalse\PassOptionsToPackage{no_subsection_in_theo}{iantheo}}
% reset point
\DeclareOption{point_reset_at_section}{\PassOptionsToPackage{reset_at_section}{point}}
\DeclareOption{point_no_reset_at_section}{\PassOptionsToPackage{no_reset_at_section}{point}}
\DeclareOption{point_reset_at_theo}{\PassOptionsToPackage{reset_at_theo}{point}}
\DeclareOption{point_no_reset_at_theo}{\PassOptionsToPackage{no_reset_at_theo}{point}}
\def\ian@defaultoptions{
\ExecuteOptions{section_in_all, no_subsection_in_all}
\ProcessOptions
%% required packages
\RequirePackage{iantheo}
\RequirePackage{point}
\RequirePackage{color}
\RequirePackage{marginnote}
\PassOptionsToPackage{hidelinks}{hyperref}
\RequirePackage{hyperref}
}
%% paper dimensions
\setlength\paperheight{297mm}
\setlength\paperwidth{210mm}
%% fonts
\input{size11.clo}
\DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm}
\DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf}
\DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt}
\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf}
\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit}
%% text dimensions
\hoffset=-50pt
\voffset=-72pt
\textwidth=460pt
\textheight=704pt
%% remove default indentation
\parindent=0pt
%% indent command
\def\indent{\hskip20pt}
%% something is wrong with \thepage, redefine it
\gdef\thepage{\the\c@page}
%% array lines (to use the array environment)
\setlength\arraycolsep{5\p@}
\setlength\arrayrulewidth{.4\p@}
%% correct vertical alignment at the end of a document
\AtEndDocument{
\vfill
\eject
}
%% hyperlinks
% hyperlinkcounter
\newcounter{lncount}
% hyperref anchor
\def\hrefanchor{%
\stepcounter{lncount}%
\hypertarget{ln.\thelncount}{}%
}
%% define a command and write it to aux file
\def\outdef#1#2{%
% define command%
\expandafter\xdef\csname #1\endcsname{#2}%
% hyperlink number%
\expandafter\xdef\csname #1@hl\endcsname{\thelncount}%
% write command to aux%
\immediate\write\@auxout{\noexpand\expandafter\noexpand\gdef\noexpand\csname #1\endcsname{\csname #1\endcsname}}%
\immediate\write\@auxout{\noexpand\expandafter\noexpand\gdef\noexpand\csname #1@hl\endcsname{\thelncount}}%
}
%% can call commands even when they are not defined
\def\safe#1{%
\ifdefined#1%
#1%
\else%
{\color{red}\bf?}%
\fi%
}
%% define a label for the latest tag
%% label defines a command containing the string stored in \tag
\def\deflabel{
\def\label##1{\expandafter\outdef{label@##1}{\safe\tag}}
\def\ref##1{%
% check whether the label is defined (hyperlink runs into errors if this check is omitted)
\ifcsname label@##1@hl\endcsname%
\hyperlink{ln.\csname label@##1@hl\endcsname}{{\color{blue}\safe\csname label@##1\endcsname}}%
\else%
\ifcsname label@##1\endcsname%
{\color{blue}\csname ##1\endcsname}%
\else%
{\bf ??}%
\fi%
\fi%
}
}
%% make a custom link at any given location in the document
\def\makelink#1#2{%
\hrefanchor%
\outdef{label@#1}{#2}%
}
%% section command
% counter
\newcounter{sectioncount}
% space before section
\newlength\secskip
\setlength\secskip{40pt}
% a prefix to put before the section number, e.g. A for appendices
\def\sectionprefix{}
% define some lengths
\newlength\secnumwidth
\newlength\sectitlewidth
\def\section#1{
% reset counters
\stepcounter{sectioncount}
\setcounter{subsectioncount}{0}
\ifsectionsineq
\setcounter{seqcount}0
\fi
\ifsectionsinfig
\setcounter{figcount}0
\fi
% space before section (if not first)
\ifnum\thesectioncount>1
\vskip\secskip
\penalty-1000
\fi
% hyperref anchor
\hrefanchor
% define tag (for \label)
\xdef\tag{\sectionprefix\thesectioncount}
% get widths
\def\@secnum{{\bf\Large\sectionprefix\thesectioncount.\hskip10pt}}
\settowidth\secnumwidth{\@secnum}
\setlength\sectitlewidth\textwidth
\addtolength\sectitlewidth{-\secnumwidth}
% print name
\parbox{\textwidth}{
\@secnum
\parbox[t]{\sectitlewidth}{\Large\bf #1}}
% write to table of contents
\iftoc
% save lncount in aux variable which is written to toc
\immediate\write\tocoutput{\noexpand\expandafter\noexpand\edef\noexpand\csname toc@sec.\thesectioncount\endcsname{\thelncount}}
\write\tocoutput{\noexpand\tocsection{#1}{\thepage}}
\fi
%space
\par\penalty10000
\bigskip\penalty10000
}
%% subsection
% counter
\newcounter{subsectioncount}
% space before subsection
\newlength\subsecskip
\setlength\subsecskip{30pt}
\def\subsection#1{
% counters
\stepcounter{subsectioncount}
\setcounter{subsubsectioncount}{0}
\ifsubsectionsineq
\setcounter{seqcount}0
\fi
\ifsubsectionsinfig
\setcounter{figcount}0
\fi
% space before subsection (if not first)
\ifnum\thesubsectioncount>1
\vskip\subsecskip
\penalty-500
\fi
% hyperref anchor
\hrefanchor
% define tag (for \label)
\xdef\tag{\sectionprefix\thesectioncount.\thesubsectioncount}
% get widths
\def\@secnum{{\bf\large\hskip.5cm\sectionprefix\thesectioncount.\thesubsectioncount.\hskip5pt}}
\settowidth\secnumwidth{\@secnum}
\setlength\sectitlewidth\textwidth
\addtolength\sectitlewidth{-\secnumwidth}
% print name
\parbox{\textwidth}{
\@secnum
\parbox[t]{\sectitlewidth}{\large\bf #1}}
% write to table of contents
\iftoc
% save lncount in aux variable which is written to toc
\immediate\write\tocoutput{\noexpand\expandafter\noexpand\edef\noexpand\csname toc@subsec.\thesectioncount.\thesubsectioncount\endcsname{\thelncount}}
\write\tocoutput{\noexpand\tocsubsection{#1}{\thepage}}
\fi
% space
\par\penalty10000
\medskip\penalty10000
}
%% subsubsection
% counter
\newcounter{subsubsectioncount}
% space before subsubsection
\newlength\subsubsecskip
\setlength\subsubsecskip{20pt}
\def\subsubsection#1{
% counters
\stepcounter{subsubsectioncount}
% space before subsubsection (if not first)
\ifnum\thesubsubsectioncount>1
\vskip\subsubsecskip
\penalty-500
\fi
% hyperref anchor
\hrefanchor
% define tag (for \label)
\xdef\tag{\sectionprefix\thesectioncount.\thesubsectioncount.\thesubsubsectioncount}
% get widths
\def\@secnum{{\bf\hskip1.cm\sectionprefix\thesectioncount.\thesubsectioncount.\thesubsubsectioncount.\hskip5pt}}
\settowidth\secnumwidth{\@secnum}
\setlength\sectitlewidth\textwidth
\addtolength\sectitlewidth{-\secnumwidth}
% print name
\parbox{\textwidth}{
\@secnum
\parbox[t]{\sectitlewidth}{\large\bf #1}}
% write to table of contents
\iftoc
% save lncount in aux variable which is written to toc
\immediate\write\tocoutput{\noexpand\expandafter\noexpand\edef\noexpand\csname toc@subsubsec.\thesectioncount.\thesubsectioncount.\thesubsubsectioncount\endcsname{\thelncount}}
\write\tocoutput{\noexpand\tocsubsubsection{#1}{\thepage}}
\fi
% space
\par\penalty10000
\medskip\penalty10000
}
%% itemize
\newlength\itemizeskip
% left margin for items
\setlength\itemizeskip{20pt}
\newlength\itemizeseparator
% space between the item symbol and the text
\setlength\itemizeseparator{5pt}
% penalty preceding an itemize
\newcount\itemizepenalty
\itemizepenalty=0
% counter counting the itemize level
\newcounter{itemizecount}
% item symbol
\def\itemizept#1{
\ifnum#1=1
\textbullet
\else
$\scriptstyle\blacktriangleright$
\fi
}
\newlength\current@itemizeskip
\setlength\current@itemizeskip{0pt}
\def\itemize{%
\par\expandafter\penalty\the\itemizepenalty\medskip\expandafter\penalty\the\itemizepenalty%
\addtocounter{itemizecount}{1}%
\addtolength\current@itemizeskip{\itemizeskip}%
\leftskip\current@itemizeskip%
}
\def\enditemize{%
\addtocounter{itemizecount}{-1}%
\addtolength\current@itemizeskip{-\itemizeskip}%
\par\expandafter\penalty\the\itemizepenalty\leftskip\current@itemizeskip%
\medskip\expandafter\penalty\the\itemizepenalty%
}
\newlength\itempt@total
\def\item{
\settowidth\itempt@total{\itemizept\theitemizecount}
\addtolength\itempt@total{\itemizeseparator}
\par
\medskip
\hskip-\itempt@total\itemizept\theitemizecount\hskip\itemizeseparator
}
%% prevent page breaks after itemize
\newcount\previtemizepenalty
\def\nopagebreakafteritemize{
\previtemizepenalty=\itemizepenalty
\itemizepenalty=10000
}
%% back to previous value
\def\restorepagebreakafteritemize{
\itemizepenalty=\previtemizepenalty
}
%% enumerate
\newcounter{enumerate@count}
\def\enumerate{
\setcounter{enumerate@count}0
\let\olditem\item
\let\olditemizept\itemizept
\def\item{
% counter
\stepcounter{enumerate@count}
% set header
\def\itemizept{\theenumerate@count.}
% hyperref anchor
\hrefanchor
% define tag (for \label)
\xdef\tag{\theenumerate@count}
\olditem
}
\itemize
}
\def\endenumerate{
\enditemize
\let\item\olditem
\let\itemizept\olditemizept
}
%% equation numbering
% counter
\newcounter{seqcount}
% booleans (write section or subsection in equation number)
\newif\ifsectionsineq
\newif\ifsubsectionsineq
\def\seqcount{
\stepcounter{seqcount}
% the output
\edef\seqformat{\theseqcount}
% add subsection number
\ifsubsectionsineq
\let\tmp\seqformat
\edef\seqformat{\thesubsectioncount.\tmp}
\fi
% add section number
\ifsectionsineq
\let\tmp\seqformat
\edef\seqformat{\sectionprefix\thesectioncount.\tmp}
\fi
% define tag (for \label)
\xdef\tag{\seqformat}
% write number
\marginnote{\hfill(\seqformat)}
}
%% equation environment compatibility
\def\equation{\hrefanchor$$\seqcount}
\def\endequation{$$\@ignoretrue}
%% figures
% counter
\newcounter{figcount}
% booleans (write section or subsection in equation number)
\newif\ifsectionsinfig
\newif\ifsubsectionsinfig
% width of figures
\newlength\figwidth
\setlength\figwidth\textwidth
\addtolength\figwidth{-2.5cm}
% caption
\def\defcaption{
\long\def\caption##1{
\stepcounter{figcount}
% hyperref anchor
\hrefanchor
% the number of the figure
\edef\figformat{\thefigcount}
% add subsection number
\ifsubsectionsinfig
\let\tmp\figformat
\edef\figformat{\thesubsectioncount.\tmp}
\fi
% add section number
\ifsectionsinfig
\let\tmp\figformat
\edef\figformat{\sectionprefix\thesectioncount.\tmp}
\fi
% define tag (for \label)
\xdef\tag{\figformat}
% write
\hfil fig \figformat: \parbox[t]{\figwidth}{\leavevmode\small##1}
% space
\par\bigskip
}
}
%% short caption: centered
\def\captionshort#1{
\stepcounter{figcount}
% hyperref anchor
\hrefanchor
% the number of the figure
\edef\figformat{\thefigcount}
% add section number
\ifsectionsinfig
\let\tmp\figformat
\edef\figformat{\sectionprefix\thesectioncount.\tmp}
\fi
% define tag (for \label)
\xdef\tag{\figformat}
% write
\hfil fig \figformat: {\small#1}
%space
\par\bigskip
}
%% environment
\def\figure{
\par
\vfil\penalty100\vfilneg
\bigskip
}
\def\endfigure{
\par
\vfil\penalty100\vfilneg
\bigskip
}
%% start appendices
\def\appendix{
\vfill
\pagebreak
% counter
\setcounter{sectioncount}0
% prefix
\def\sectionprefix{A}
% write
{\bf \LARGE Appendices}\par\penalty10000\bigskip\penalty10000
% add a mention in the table of contents
\iftoc
\immediate\write\tocoutput{\noexpand\tocappendices}\penalty10000
\fi
%% uncomment for new page for each appendix
%\def\seqskip{\vfill\pagebreak}
}
%% bibliography
% size of header
\newlength\bibheader
\def\thebibliography#1{
\hrefanchor
% add a mention in the table of contents
\iftoc
% save lncount in aux variable which is written to toc
\immediate\write\tocoutput{\noexpand\expandafter\noexpand\edef\noexpand\csname toc@references\endcsname{\thelncount}}
\write\tocoutput{\noexpand\tocreferences{\thepage}}\penalty10000
\fi
% write
{\bf \LARGE References}\par\penalty10000\bigskip\penalty10000
% width of header
\settowidth\bibheader{[#1]}
\leftskip\bibheader
}
% end environment
\def\endthebibliography{
\par\leftskip0pt
}
%% bibitem command
\def\bibitem[#1]#2{%
\hrefanchor%
\outdef{label@cite#2}{#1}%
\hskip-\bibheader%
\makebox[\bibheader]{\cite{#2}\hfill}%
}
%% cite command (adapted from latex.ltx)
% @tempswa is set to true when there is an optional argument
\newif\@tempswa
\def\cite{%
% check whether there is an optional argument (if there is none, add on empty '[]')
\@ifnextchar [{\@tempswatrue\@citex}{\@tempswafalse\@citex[]}%
}
% command with optional argument
\def\@citex[#1]#2{\leavevmode%
% initialize loop
\let\@citea\@empty%
% format
\@cite{%
% loop over ',' separated list
\@for\@citeb:=#2\do{%
% text to add at each iteration of the loop (separator between citations)
\@citea\def\@citea{,\ }%
% add entry to citelist
\@writecitation{\@citeb}%
\ref{cite\@citeb}%
}%
}%
% add optional argument text (as an argument to '\@cite')
{#1}%
}
\def\@cite#1#2{%
[#1\if@tempswa , #2\fi]%
}
%% add entry to citelist after checking it has not already been added
\def\@writecitation#1{%
\ifcsname if#1cited\endcsname%
\else%
\expandafter\newif\csname if#1cited\endcsname%
\immediate\write\@auxout{\string\citation{#1}}%
\fi%
}
%% table of contents
% boolean
\newif\iftoc
\def\tableofcontents{
{\bf \large Table of contents:}\par\penalty10000\bigskip\penalty10000
% copy content from file
\IfFileExists{\jobname.toc}{\input{\jobname.toc}}{{\tt error: table of contents missing}}
% open new toc
\newwrite\tocoutput
\immediate\openout\tocoutput=\jobname.toc
\toctrue
}
%% close file
\AtEndDocument{
% close toc
\iftoc
\immediate\closeout\tocoutput
\fi
}
%% fill line with dots
\def\leaderfill{\leaders\hbox to 1em {\hss. \hss}\hfill}
%% same as sectionprefix
\def\tocsectionprefix{}
%% toc formats
\newcounter{tocsectioncount}
\def\tocsection #1#2{
\stepcounter{tocsectioncount}
\setcounter{tocsubsectioncount}{0}
\setcounter{tocsubsubsectioncount}{0}
% write
\smallskip\hyperlink{ln.\csname toc@sec.\thetocsectioncount\endcsname}{{\bf \tocsectionprefix\thetocsectioncount}.\hskip5pt {\color{blue}#1}\leaderfill#2}\par
}
\newcounter{tocsubsectioncount}
\def\tocsubsection #1#2{
\stepcounter{tocsubsectioncount}
\setcounter{tocsubsubsectioncount}{0}
% write
{\hskip10pt\hyperlink{ln.\csname toc@subsec.\thetocsectioncount.\thetocsubsectioncount\endcsname}{{\bf \thetocsubsectioncount}.\hskip5pt {\color{blue}\small #1}\leaderfill#2}}\par
}
\newcounter{tocsubsubsectioncount}
\def\tocsubsubsection #1#2{
\stepcounter{tocsubsubsectioncount}
% write
{\hskip20pt\hyperlink{ln.\csname toc@subsubsec.\thetocsectioncount.\thetocsubsectioncount.\thetocsubsubsectioncount\endcsname}{{\bf \thetocsubsubsectioncount}.\hskip5pt {\color{blue}\small #1}\leaderfill#2}}\par
}
\def\tocappendices{
\medskip
\setcounter{tocsectioncount}0
{\bf Appendices}\par
\smallskip
\def\tocsectionprefix{A}
}
\def\tocreferences#1{
\medskip
{\hyperlink{ln.\csname toc@references\endcsname}{{\color{blue}\bf References}\leaderfill#1}}\par
\smallskip
}
%% definitions that must be loaded at begin document
\let\ian@olddocument\document
\def\document{
\ian@olddocument
\deflabel
\defcaption
}
%% end
\ian@defaultoptions
\endinput

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%%
%% iantheorem package:
%% Ian's customized theorem command
%%
%% boolean to signal that this package was loaded
\newif\ifiantheo
%% TeX format
\NeedsTeXFormat{LaTeX2e}[1995/12/01]
%% package name
\ProvidesPackage{iantheo}[2016/11/10]
%% options
\newif\ifsectionintheo
\DeclareOption{section_in_theo}{\sectionintheotrue}
\DeclareOption{no_section_in_theo}{\sectionintheofalse}
\newif\ifsubsectionintheo
\DeclareOption{subsection_in_theo}{\subsectionintheotrue}
\DeclareOption{no_subsection_in_theo}{\subsectionintheofalse}
\def\iantheo@defaultoptions{
\ExecuteOptions{section_in_theo, no_subsection_in_theo}
\ProcessOptions
%%% reset at every new section
\ifsectionintheo
\let\iantheo@oldsection\section
\gdef\section{\setcounter{theocount}{0}\iantheo@oldsection}
\fi
%% reset at every new subsection
\ifsubsectionintheo
\let\iantheo@oldsubsection\subsection
\gdef\subsection{\setcounter{theocount}{0}\iantheo@oldsubsection}
\fi
}
%% delimiters
\def\delimtitle#1{
\par%
\leavevmode%
\raise.3em\hbox to\hsize{%
\lower0.3em\hbox{\vrule height0.3em}%
\hrulefill%
\ \lower.3em\hbox{#1}\ %
\hrulefill%
\lower0.3em\hbox{\vrule height0.3em}%
}%
\par\penalty10000%
}
%% callable by ref
\def\delimtitleref#1{
\par%
%
\ifdefined\ianclass%
% hyperref anchor%
\hrefanchor%
% define tag (for \label)%
\xdef\tag{#1}%
\fi%
%
\leavevmode%
\raise.3em\hbox to\hsize{%
\lower0.3em\hbox{\vrule height0.3em}%
\hrulefill%
\ \lower.3em\hbox{\bf #1}\ %
\hrulefill%
\lower0.3em\hbox{\vrule height0.3em}%
}%
\par\penalty10000%
}
%% no title
\def\delim{
\par%
\leavevmode\raise.3em\hbox to\hsize{%
\lower0.3em\hbox{\vrule height0.3em}%
\hrulefill%
\lower0.3em\hbox{\vrule height0.3em}%
}%
\par\penalty10000%
}
%% end delim
\def\enddelim{
\par\penalty10000%
\leavevmode%
\raise.3em\hbox to\hsize{%
\vrule height0.3em\hrulefill\vrule height0.3em%
}%
\par%
}
%% theorem
% counter
\newcounter{theocount}
% booleans (write section or subsection in equation number)
\def\theo#1{
\stepcounter{theocount}
\ifdefined\ianclass
% hyperref anchor
\hrefanchor
\fi
% the number
\def\formattheo{\thetheocount}
% add subsection number
\ifsubsectionintheo
\let\tmp\formattheo
\edef\formattheo{\thesubsectioncount.\tmp}
\fi
% add section number
\ifsectionintheo
\let\tmp\formattheo
\edef\formattheo{\sectionprefix\thesectioncount.\tmp}
\fi
% define tag (for \label)
\xdef\tag{\formattheo}
% write
\delimtitle{\bf #1 \formattheo}
}
\let\endtheo\enddelim
%% theorem headers with name
\def\theoname#1#2{
\theo{#1}\hfil({\it #2})\par\penalty10000\medskip%
}
%% qed symbol
\def\qedsymbol{$\square$}
\def\qed{\penalty10000\hfill\penalty10000\qedsymbol}
%% compatibility with article class
\ifdefined\ianclasstrue
\relax
\else
\def\thesectioncount{\thesection}
\def\thesubsectioncount{\thesubsection}
\def\sectionprefix{}
\fi
%% prevent page breaks after displayed equations
\newcount\prevpostdisplaypenalty
\def\nopagebreakaftereq{
\prevpostdisplaypenalty=\postdisplaypenalty
\postdisplaypenalty=10000
}
%% back to previous value
\def\restorepagebreakaftereq{
\postdisplaypenalty=\prevpostdisplaypenalty
}
%% end
\iantheo@defaultoptions
\endinput

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%%
%% largearray package:
%% Array spanning the entire line
%%
%% TeX format
\NeedsTeXFormat{LaTeX2e}[1995/12/01]
%% package name
\ProvidesPackage{largearray}[2016/11/10]
\RequirePackage{array}
%% array spanning the entire line
\newlength\largearray@width
\setlength\largearray@width\textwidth
\addtolength\largearray@width{-10pt}
\def\largearray{\begin{array}{@{}>{\displaystyle}l@{}}\hphantom{\hspace{\largearray@width}}\\[-.5cm]}
\def\endlargearray{\end{array}}

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%%
%% Points package:
%% \point commands
%%
%% TeX format
\NeedsTeXFormat{LaTeX2e}[1995/12/01]
%% package name
\ProvidesPackage{point}[2017/06/13]
%% options
\newif\ifresetatsection
\DeclareOption{reset_at_section}{\resetatsectiontrue}
\DeclareOption{no_reset_at_section}{\resetatsectionfalse}
\newif\ifresetatsubsection
\DeclareOption{reset_at_subsection}{\resetatsubsectiontrue}
\DeclareOption{no_reset_at_subsection}{\resetatsubsectionfalse}
\newif\ifresetattheo
\DeclareOption{reset_at_theo}{\resetattheotrue}
\DeclareOption{no_reset_at_theo}{\resetattheofalse}
\def\point@defaultoptions{
\ExecuteOptions{reset_at_section, reset_at_subsection, no_reset_at_theo}
\ProcessOptions
%% reset at every new section
\ifresetatsection
\let\point@oldsection\section
\gdef\section{\resetpointcounter\point@oldsection}
\fi
%% reset at every new subsection
\ifresetatsubsection
\let\point@oldsubsection\subsection
\gdef\subsection{\resetpointcounter\point@oldsubsection}
\fi
%% reset at every new theorem
\ifresetattheo
\ifdefined\iantheotrue
\let\point@oldtheo\theo
\gdef\theo{\resetpointcounter\point@oldtheo}
\fi
\fi
}
%% point
% counter
\newcounter{pointcount}
\def\point{
\stepcounter{pointcount}
\setcounter{subpointcount}{0}
% hyperref anchor (only if the class is 'ian')
\ifdefined\ifianclass
\hrefanchor
% define tag (for \label)
\xdef\tag{\thepointcount}
\fi
% header
\indent{\bf \thepointcount\ - }
}
%% subpoint
% counter
\newcounter{subpointcount}
\def\subpoint{
\stepcounter{subpointcount}
\setcounter{subsubpointcount}0
% hyperref anchor (only if the class is 'ian')
\ifdefined\ifianclass
\hrefanchor
% define tag (for \label)
\xdef\tag{\thepointcount-\thesubpointcount}
\fi
% header
\indent\hskip.5cm{\bf \thepointcount-\thesubpointcount\ - }
}
%% subsubpoint
% counter
\newcounter{subsubpointcount}
\def\subsubpoint{
\stepcounter{subsubpointcount}
% hyperref anchor (only if the class is 'ian')
\ifdefined\ifianclass
\hrefanchor
% define tag (for \label)
\xdef\tag{\thepointcount-\thesubpointcount-\thesubsubpointcount}
\fi
\indent\hskip1cm{\bf \thepointcount-\thesubpointcount-\thesubsubpointcount\ - }
}
%% reset point counters
\def\resetpointcounter{
\setcounter{pointcount}{0}
\setcounter{subpointcount}{0}
\setcounter{subsubpointcount}{0}
}
%% end
\point@defaultoptions
\endinput