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pythroses.py
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from sys import argv
from subprocess import call
import os.path
from datetime import datetime
def get_subdir(subdir):
try:
os.mkdir(subdir)
except Exception:
pass
return subdir
def write_to_file(subdir, name, data):
get_subdir(subdir)
f = open(os.path.join(subdir, name), 'w')
f.write(data)
f.close()
def get_vertices(first, second):
hdiff = second[0] - first[0]
vdiff = second[1] - first[1]
third = [0, 0]
fourth = [0, 0]
third[1] = second[1] + hdiff
third[0] = second[0] - vdiff
fourth[0] = third[0] - hdiff
fourth[1] = third[1] - vdiff
return [first, second, third, fourth]
def get_inner(first, second, a, b):
hdiff = second[0] - first[0]
vdiff = second[1] - first[1]
inner = [0, 0]
inner[0] = first[0] + (hdiff * a / (a + b))
inner[1] = first[1] + (vdiff * a / (a + b))
return inner
def get_inner_vertices(first, second, a, b):
vertices = get_vertices(first, second)
inner_first = get_inner(first, second, a, b)
inner_second = get_inner(second, vertices[2], a, b)
return get_vertices(inner_first, inner_second)
def get_nested_squares(first, second, a, b, num_sq):
if num_sq < 1:
return []
outside = get_vertices(first, second)
squares = [outside]
for _ in range(num_sq - 1):
outside = squares[-1]
squares.append(get_inner_vertices(outside[0], outside[1], a, b))
return squares
def get_formatted_nested_squares(first, second, a, b, num_sq, places = 3):
format_str = "%." + str(places) + "f"
formatted_squares = []
squares = get_nested_squares(first, second, a, b, num_sq)
for sq in squares:
sq_formatted = []
for pt in sq:
pt_formatted = [format_str % coord for coord in pt]
sq_formatted.append(pt_formatted)
formatted_squares.append(sq_formatted)
return formatted_squares
def print_nested_squares(first, second, a, b, num_sq, places = 3):
squares = get_formatted_nested_squares(first, second, a, b, num_sq, places)
for sq in squares:
print(sq)
def sqbr(color):
return "[" + color + "] "
def make_tikz_str(square, color):
tikz_str = "\t\\draw " + sqbr(color)
for pt in square:
tikz_str += "(" + str(pt[0]) + ", " + str(pt[1]) + ") -- "
tikz_str += "cycle;"
return tikz_str
def brace(p, q, r):
return p + "{" + q + "}" + r
def make_tikzpicture_str(first, second, a, b, num_sq, color = "black", places = 3):
squares = get_formatted_nested_squares(first, second, a, b, num_sq, places)
tikz_str = brace("\\begin", "tikzpicture", "\n")
for sq in squares:
tikz_str += make_tikz_str(sq, color) + "\n"
tikz_str += brace("\\end", "tikzpicture", "\n")
return tikz_str
def make_tex_str(scale, a, b, num_sq, color = "black", places = 3):
first = [scale, scale]
second = [-scale, scale]
page_size = scale * 4/5
pic_size = scale * 4/5
side_margin = -1
top_margin = -7/8 * ((127 + scale)/(61 + scale))
data = brace("\\documentclass", "letter", "\n")
data += brace("\\usepackage", "tikz", "\n\n")
data += "\\pdfpagewidth " + str(page_size) + "in\n"
data += "\\pdfpageheight " + str(page_size) + "in\n"
data += brace("\\setlength", "\\oddsidemargin", "") + brace("", str(side_margin) + "in", "\n")
data += brace("\\setlength", "\\evensidemargin", "") + brace("", str(side_margin) + "in", "\n")
data += brace("\\setlength", "\\topmargin", "") + brace("", str(top_margin) + "in", "\n")
data += brace("\\setlength", "\\textwidth", "") + brace("", str(pic_size) + "in", "\n")
data += brace("\\setlength", "\\textheight", "") + brace("", str(pic_size) + "in", "\n")
data += brace("\\pagestyle", "empty", "\n")
data += brace("\n\\begin", "document", "\n\n")
data += brace("\\begin", "center", "\n")
data += make_tikzpicture_str(first, second, a, b, num_sq, color, places)
data += brace("\\end", "center", "\n")
data += brace("\n\\end", "document", "")
return data
def make_tex_file(subdir, name, scale, a, b, num_sq = 4, color = "black", places = 3):
data = make_tex_str(scale, a, b, num_sq, color, places)
if name.find(".tex") == -1:
name += ".tex"
write_to_file(subdir, name, data)
return name
def mv_files(sub, basename, exts):
for ext in exts:
name = basename + "." + ext
call(["mv", name, os.path.join(sub, name)])
def make_pdf(sub, basename, name):
call(["pdflatex", os.path.join(sub, name)])
mv_files(sub, basename, ["pdf", "log", "aux"])
return basename + ".pdf"
def make_svg(sub, pdfname, abbrev):
svgsub = "SVG"
get_subdir(svgsub)
call(["pdf2svg", os.path.join(sub, pdfname), os.path.join(svgsub, abbrev + ".svg")])
return abbrev + ".svg"
def pdf_nested_squares(leg_a="5", leg_b="12", num="4", scale="4.913", namestub="pythagorean-rose", sub="nested-pythagorean", color="black", prec="4"):
legs = leg_a + "+" + leg_b
suffix = "-legs" + legs + "-nested" + num + "-scale" + scale + "-" + color
basename = namestub + suffix
name = make_tex_file(sub, basename, float(scale), int(leg_a), int(leg_b), int(num), color, int(prec))
make_pdf(sub, basename, name)
def get_hex(n):
hx = ""
while n > 0:
r = n % 16
n = int((n - r)/16)
if r < 10:
hx = str(r) + hx
else:
hx = chr(ord('A') + r - 10) + hx
return hx
def make_hex_time():
time = datetime.now().strftime('%y%m%d-%H%M%S')
a = int(time[:6])
b = int(time[7:])
time = get_hex(a) + get_hex(b)
return time
def nest_squares(a, b, n, s, color="black", p = 4):
namestub = "pythagorean-rose"
legs = str(a) + "+" + str(b)
suffix = "-legs" + legs + "-nested" + str(n) + "-scale" + str(s) + "-" + color
basename = namestub + suffix
abbrev = "pythrose" + legs + "-n" + str(n) + "-s" + str(s) + "-" + color
sub = "nestedpyth-" + legs + "-n" + str(n) + "-" + make_hex_time()
name = make_tex_file(sub, basename, s, a, b, n, color, p)
pdfname = make_pdf(sub, basename, name)
svgname = make_svg(sub, pdfname, abbrev)
def parse_nest_to_pdf(argv):
# set defaults
leg_a = "3"
leg_b = "4"
num = "5"
scale = "5"
namestub = "pythagorean-rose"
sub = "nestedpyth-" + make_hex_time()
color = "black"
prec = "4"
if len(argv) > 1:
leg_a = argv[1]
if len(argv) > 2:
leg_b = argv[2]
if len(argv) > 3:
num = argv[3]
if len(argv) > 4:
scale = argv[4]
if len(argv) > 5:
namestub = argv[5]
if len(argv) > 6:
sub = argv[6]
if len(argv) > 7:
color = argv[7]
if len(argv) > 8:
prec = argv[8]
pdf_nested_squares(leg_a, leg_b, num, scale, namestub, sub, color, prec)
if __name__ == '__main__':
parse_nest_to_pdf(argv)