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make-PathFont-font.py
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make-PathFont-font.py
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#!/usr/bin/env python3
#
# Based on code from Chesskoban (c) 2017-2019 Jim McCann;
# this adapted-for-15-466 code is released into the public domain.
#
import xml.parsers.expat
import re
import math
import sys
insvg = 'PathFont-font.svg'
hppname = 'PathFont-font.hpp'
cppname = hppname[0:-4] + ".cpp"
fontname = 'font'
xmlparser = xml.parsers.expat.ParserCreate()
def mul(A,B):
if len(A) == 6 and len(B) == 6:
return (
A[0] * B[0] + A[2] * B[1] + A[4] * 0.0,
A[1] * B[0] + A[3] * B[1] + A[5] * 0.0,
A[0] * B[2] + A[2] * B[3] + A[4] * 0.0,
A[1] * B[2] + A[3] * B[3] + A[5] * 0.0,
A[0] * B[4] + A[2] * B[5] + A[4] * 1.0,
A[1] * B[4] + A[3] * B[5] + A[5] * 1.0
)
elif len(A) == 6 and len(B) == 2:
return (
A[0] * B[0] + A[2] * B[1] + A[4] * 1.0,
A[1] * B[0] + A[3] * B[1] + A[5] * 1.0
)
else:
assert(False) #"Invalid multiply arg lengths " + str(len(A)) + " and " + str(len(B)))
def inv(A):
assert(len(A) == 6)
a = A[0]
b = A[2]
c = A[1]
d = A[3]
x = A[4]
y = A[5]
invdet = 1.0 / (a*d - c*b)
a *= invdet
b *= invdet
c *= invdet
d *= invdet
B = ( d, -c, -b, a, -(d * x + -b * y), -(-c * x + a * y) )
P = mul(A,B)
#print("Matrix: " + repr(A) + " / Inverse: " + repr(B) + " / Product: " + repr(P))
return B
def parse_transform(transform):
print('parsing: ' + transform)
#transform is a list of zero or more commands
wsp = '[\x20\x09\x0D\x0A]'
comma_wsp = '[\x20\x09\x0D\x0A,]'
number = r'[+-]?[0-9]*\.?[0-9]+(?:[eE][+-]?[0-9]+)?'
first = True
xf = (1,0, 0,1, 0,0)
while True:
if first: ws = wsp + '*'
else: ws = comma_wsp + '+'
first = False
m = re.match(
ws
+ r'(matrix|translate|scale|rotate|skewX|skewY)'
+ wsp + '*'
+ r'\('
+ wsp + '*'
+ '(' + number + '(:?' + comma_wsp + '+' + number + ')*' + ')'
+ wsp + '*'
+ r'\)'
, transform)
if m == None: break
op = m.group(1)
args = list(map(float, re.split(comma_wsp + '+', m.group(2))))
#print("op: " + op)
#print("args: " + repr(args))
mat = (1,0, 0,1, 0,0)
if op == 'matrix':
if len(args) == 6:
mat = tuple(args)
else:
print("WARNING: ignoring matrix with args " + repr(args) + " (non-length-6)")
elif op == 'translate':
if len(args) == 2:
mat = (1,0, 0,1, args[0], args[1])
elif len(args) == 1:
mat = (1,0, 0,1, args[0], 0)
else:
print("WARNING: ignoring translate with args " + repr(args) + " (non-length-6)")
elif op == 'scale':
if len(args) == 2:
mat = (args[0],0, 0,args[1], 0,0)
elif len(args) == 1:
mat = (args[0],0, 0,args[0], 0,0)
else:
print("WARNING: ignoring scale with args " + repr(args) + " (non-length-6)")
elif op == 'rotate':
if len(args) == 3 or len(args) == 1:
cos = math.cos(math.pi * args[0] / 180.0)
sin = math.sin(math.pi * args[0] / 180.0)
mat = (cos,sin, -sin,cos, 0,0)
if len(args) == 3:
mat = mul( (1,0, 0,1, args[1], args[2]),
mul( mat, (1,0, 0,1, -args[1],-args[2]) ) )
else:
print("WARNING: ignoring rotate with args " + repr(args) + " (non-length-6)")
elif op == 'skewX':
if len(args) == 1:
tan = math.tan(math.pi * args[0] / 180.0)
mat = (1,0, tan,1, 0,0)
else:
print("WARNING: ignoring skewX with args " + repr(args) + " (non-length-6)")
elif op == 'skewY':
if len(args) == 1:
tan = math.tan(math.pi * args[0] / 180.0)
mat = (1,tan, 0,1, 0,0)
else:
print("WARNING: ignoring skewY with args " + repr(args) + " (non-length-6)")
else:
assert(False) # "shouldn't have an op named '" + op + "'"
xf = mul(xf, mat)
transform = transform[m.end():]
if not re.fullmatch(wsp + '*', transform):
print("WARNING: ignoring trailing transform information '" + transform + "'")
return xf
def parse_path(data):
idx = 0
def peek():
nonlocal idx, data
if idx < len(data): return data[idx]
else: return 'EOF'
def get():
nonlocal idx, data
assert(idx < len(data))
idx += 1
return data[idx-1]
#divide path into command groups by implementing the grammar from the SVG spec:
def skip_wsp_star():
while peek() in '\x20\x09\x0D\x0A':
get()
def read_number():
if peek() not in '+-0123456789.': return None
num = ''
if peek() in '+-': num += get()
while peek() in '0123456789': num += get()
if peek() == '.':
num += get()
while peek() in '0123456789': num += get()
if peek() in 'eE':
num += get()
if peek() in '+-': num += get()
while peek() in '0123456789': num += get()
return float(num)
def skip_comma_wsp():
skip_wsp_star()
if peek() == ',':
get()
skip_wsp_star()
def read_coordinate_pair():
x = read_number()
if x == None: return None
skip_comma_wsp()
y = read_number()
assert(y != None)
return (x, y)
def read_moveto():
cmd = get()
assert(cmd in 'mM')
skip_wsp_star()
args = []
while True:
pair = read_coordinate_pair()
if pair == None:
assert(len(args) > 0)
break
args.append(pair)
skip_comma_wsp()
return (cmd, args)
def read_drawto():
if peek() not in 'ZzLlHhVvCcSsQqTtAa': return None
cmd = get()
args = []
if cmd in 'Zz':
pass #no args
elif cmd in 'LlTt':
skip_wsp_star()
while True:
a = read_coordinate_pair()
if a == None:
assert(len(args) > 0)
break
args.append(a)
skip_comma_wsp()
elif cmd in 'HhVv':
skip_wsp_star()
while True:
a = read_number()
if a == None:
assert(len(args) > 0)
break
args.append(a)
skip_comma_wsp()
elif cmd in 'Cc':
skip_wsp_star()
while True:
a = read_coordinate_pair()
if a == None:
assert(len(args) > 0)
break
args.append(a)
skip_comma_wsp()
a = read_coordinate_pair()
assert(a != None)
args.append(a)
skip_comma_wsp()
a = read_coordinate_pair()
assert(a != None)
skip_comma_wsp()
args.append(a)
elif cmd in 'SsQq':
skip_wsp_star()
while True:
a = read_coordinate_pair()
if a == None:
assert(len(args) > 0)
break
args.append(a)
skip_comma_wsp()
a = read_coordinate_pair()
assert(a != None)
args.append(a)
elif cmd in 'Aa':
skip_wsp_star()
while True:
rx = read_nonnegative_number()
if rx == None:
assert(len(args) > 0)
break
skip_comma_wsp()
ry = read_nonnegative_number()
assert(ry != None)
skip_comma_wsp()
x_axis_rotation = read_number()
assert(x_axis_rotation != None)
skip_comma_wsp()
large_arc_flag = read_flag()
assert(large_arc_flag != None)
skip_comma_wsp()
sweep_flag = read_flag()
assert(sweep_flag != None)
skip_comma_wsp()
x = read_number()
assert(x != None)
skip_comma_wsp()
y = read_number()
assert(y != None)
skip_comma_wsp()
args.append((rx, ry, x_axis_rotation, large_arc_flag, sweep_flag, x, y))
else:
assert(False)
return (cmd, args)
cmds = []
while True:
skip_wsp_star()
if peek() == 'EOF': break
moveto = read_moveto()
assert(moveto)
cmds.append(moveto)
while True:
skip_wsp_star()
drawto = read_drawto()
if drawto == None: break
cmds.append(drawto)
return cmds
glyphs = dict()
class Glyph:
def __init__(self, name):
self.accum = []
self.box_accum = []
self.box_xf = (1,0, 0,1, 0,0)
self.name = name
xf_stack = [(1,0, 0,1, 0,0)]
glyph_stack = [None]
accum_stack = [None]
def start_element(name, attrs):
#handle transform:
xf = (1,0, 0,1, 0,0)
if 'transform' in attrs: xf = parse_transform(attrs['transform'])
xf_stack.append(mul(xf_stack[-1], xf))
#handle label:
label = ''
if 'inkscape:label' in attrs: label = attrs['inkscape:label']
accum = accum_stack[-1]
glyph = glyph_stack[-1]
if label.startswith('glyph:'):
if glyph != None: print("WARNING: nested glyphs.")
#start a new glyph:
glyph = Glyph(label[len('glyph:'):])
accum = glyph.accum
elif label.startswith('box:'):
if glyph == None:
print("WARNING: box outside of glyph.")
else:
#switch to box accumulator:
if len(glyph.box_accum) != 0: print("WARNING: multiple boxes in glyph.")
accum = glyph.box_accum
glyph.box_xf = xf
accum_stack.append(accum)
glyph_stack.append(glyph)
d = None
if name == 'path' and 'd' in attrs:
d = attrs['d']
elif name == 'rect':
x = float(attrs['x'])
y = float(attrs['y'])
width = float(attrs['width'])
height = float(attrs['height'])
d = ( 'M' + str(x) + ' ' + str(y) +
'L' + str(x+width) + ' ' + str(y) +
'L' + str(x+width) + ' ' + str(y+height) +
'L' + str(x) + ' ' + str(y+height) +
'Z' )
if d != None and accum != None:
#print(d)
accum.append( (xf, parse_path(d) ) )
def end_element(name):
glyph = glyph_stack[-1]
xf_stack.pop()
accum_stack.pop()
glyph_stack.pop()
if glyph != None and glyph_stack[-1] == None:
glyphs[glyph.name] = glyph
#TODO: grab glyph path from accum
xmlparser.StartElementHandler = start_element
xmlparser.EndElementHandler = end_element
xmlparser.ParseFile(open(insvg, 'rb'))
def cmds_to_lines(xf, cmds):
lines = []
def approx_bezier(a,b,c,d):
nonlocal lines
perp = (d[1] - a[1], -(d[0] - a[0]))
amt = max(
abs(perp[0] * (b[0]-a[0]) + perp[1] * (b[1]-a[1])),
abs(perp[0] * (c[0]-a[0]) + perp[1] * (c[1]-a[1]))
) / math.sqrt(perp[0]*perp[0] + perp[1]*perp[1])
if amt > 0.02:
ab = (0.5 * (a[0] + b[0]), 0.5 * (a[1] + b[1]))
bc = (0.5 * (b[0] + c[0]), 0.5 * (b[1] + c[1]))
cd = (0.5 * (c[0] + d[0]), 0.5 * (c[1] + d[1]))
abc = (0.5 * (ab[0] + bc[0]), 0.5 * (ab[1] + bc[1]))
bcd = (0.5 * (bc[0] + cd[0]), 0.5 * (bc[1] + cd[1]))
abcd = (0.5 * (abc[0] + bcd[0]), 0.5 * (abc[1] + bcd[1]))
approx_bezier(a, ab, abc, abcd)
approx_bezier(abcd, bcd, cd, d)
else:
lines += [a,b, b,c, c,d]
start = None
prev = (0.0, 0.0)
prev_cp = (0.0, 0.0)
for ca in cmds:
cmd = ca[0]
args = ca[1]
if cmd in 'Mm':
start = None
for pt in args:
if cmd == 'm': pt = (prev[0] + pt[0], prev[1] + pt[1])
if start == None:
start = pt
prev_cp = prev = pt
if prev != pt: lines += [mul(xf, prev), mul(xf, pt)]
prev_cp = prev = pt
elif cmd in 'Ll':
for pt in args:
if cmd == 'l': pt = (prev[0] + pt[0], prev[1] + pt[1])
if prev != pt: lines += [mul(xf, prev), mul(xf, pt)]
prev_cp = prev = pt
elif cmd in 'Cc':
for i in range(0, len(args), 3):
p1 = args[i]
p2 = args[i+1]
p3 = args[i+2]
if cmd == 'c':
p1 = (prev[0] + p1[0], prev[1] + p1[1])
p2 = (prev[0] + p2[0], prev[1] + p2[1])
p3 = (prev[0] + p3[0], prev[1] + p3[1])
approx_bezier(mul(xf, prev), mul(xf, p1), mul(xf, p2), mul(xf, p3))
prev_cp = p2
prev = p3
elif cmd in 'Zz':
pt = start
if prev != pt: lines += [mul(xf, prev), mul(xf, pt)]
prev = pt
else:
print("Skipping unimplemented command '" + cmd + "'")
return lines
def accum_to_lines(accum, outer_xf):
lines = []
for xc in accum:
xf = xc[0]
cmds = xc[1]
lines += cmds_to_lines(mul(outer_xf, xf), cmds)
return lines
out_glyphs = 0
out_glyph_widths = []
out_glyph_char_starts = []
out_chars = []
out_glyph_coord_starts = []
out_coords = []
for char_glyph in sorted(glyphs.items()):
glyph = char_glyph[1]
print("--- '" + glyph.name + "' ---")
inv_box_xf = inv(glyph.box_xf)
print(" Box has " + str(len(glyph.box_accum)) + " paths.")
box_lines = accum_to_lines(glyph.box_accum, inv_box_xf)
inf = float('inf')
box_min = ( inf, inf)
box_max = (-inf, -inf)
for coord in box_lines:
box_min = ( min(box_min[0], coord[0]), min(box_min[1], coord[1]) )
box_max = ( max(box_max[0], coord[0]), max(box_max[1], coord[1]) )
print(" Box Bounds: " + repr(box_min) + " " + repr(box_max))
scale = 1.0 / (box_max[1] - box_min[1])
width = scale * (box_max[0] - box_min[0])
glyph_xf = mul(inv_box_xf, (scale,0, 0,-scale, scale * -box_min[0],-scale * -box_max[1]) )
print(" Glyph has " + str(len(glyph.accum)) + " paths.")
glyph_lines = accum_to_lines(glyph.accum, glyph_xf)
inf = float('inf')
glyph_min = ( inf, inf)
glyph_max = (-inf, -inf)
for coord in glyph_lines:
glyph_min = ( min(glyph_min[0], coord[0]), min(glyph_min[1], coord[1]) )
glyph_max = ( max(glyph_max[0], coord[0]), max(glyph_max[1], coord[1]) )
print(" Glyph Bounds: " + repr(glyph_min) + " " + repr(glyph_max))
print(" Glyph Width: " + str(width))
out_glyphs += 1
out_glyph_widths += [width]
out_glyph_char_starts += [len(out_chars)]
out_chars += list(glyph.name.encode('utf8'))
out_glyph_coord_starts += [len(out_coords)]
for pair in glyph_lines:
out_coords += list(pair)
print("Font covers: " + ", ".join(map(lambda x: "'" + x + "'", sorted(glyphs.keys()))))
missing = []
for m in range(0x20, 0x7f):
c = chr(m)
if c not in glyphs:
missing.append(c)
print("Font misses: " + ", ".join(map(lambda x: "'" + x + "'", missing)))
print("Writing PathFont '" + fontname + "' to '" + cppname + "'")
cppfile = open(cppname, 'wb')
def w(s):
cppfile.write(s.encode('utf8'))
def wd(d,fs, wrap):
w('\t\t')
for i in range(0,len(d)):
if i != 0: w(',')
if i != 0 and i % wrap == 0: w('\n\t\t')
elif i != 0: w(' ')
w(fs.format(d[i]))
w('\n')
w('//automatically generated\n')
w('#include \"PathFont.hpp\"\n')
w('namespace {\n')
w('\tconstexpr const uint32_t font_glyphs = ' + str(out_glyphs) + ';\n')
w('\tconstexpr const float font_glyph_widths[font_glyphs] = {\n')
wd(out_glyph_widths, "{:.6f}f", 6)
w('\t};\n')
w('\tconstexpr const uint32_t font_glyph_char_starts[font_glyphs+1] = {\n')
wd(out_glyph_char_starts + [len(out_chars)], "{}", 12)
w('\t};\n')
w('\tconstexpr const uint8_t font_chars[' + str(len(out_chars)) + '] = {\n')
wd(out_chars, "{}", 12)
w('\t};\n')
w('\tconstexpr const uint32_t font_glyph_coord_starts[font_glyphs+1] = {\n')
wd(out_glyph_coord_starts + [len(out_coords)], "{}", 12)
w('\t};\n')
w('\tconstexpr const float font_coords[' + str(len(out_coords)) + '] = {\n')
wd(out_coords, "{:.6f}f", 6)
w('\t};\n')
w('}\n')
w('PathFont PathFont::font(font_glyphs, font_glyph_widths, font_glyph_char_starts, font_chars, font_glyph_coord_starts, font_coords);\n')
cppfile.close()