#!/usr/bin/env python

import re, struct, math
def fmt(string): ## string.format(**vars()) using tags {expression!format} by CMG Lee
 def f(tag): i_sep = tag.rfind('!'); return (re.sub('\.0+$', '', str(eval(tag[1:-1])))
  if (i_sep < 0) else ('{:%s}' % tag[i_sep + 1:-1]).format(eval(tag[1:i_sep])))
 return (re.sub(r'(?<!{){[^{}]+}', lambda m:f(m.group()), string)
         .replace('{{', '{').replace('}}', '}'))
def append(obj, string): return obj.append(fmt(string))
def tabbify(cellss, separator='|'):
 cellpadss = [list(rows) + [''] * (len(max(cellss, key=len)) - len(rows)) for rows in cellss]
 fmts = ['%%%ds' % (max([len(str(cell)) for cell in cols])) for cols in zip(*cellpadss)]
 return '\n'.join([separator.join(fmts) % tuple(rows) for rows in cellpadss])
def hex_rgb(colour): ## convert [#]RGB to #RRGGBB and [#]RRGGBB to #RRGGBB
 return '#%s' % (colour if len(colour) > 4 else ''.join([c * 2 for c in colour])).lstrip('#')
def viscam_colour(colour):
 colour_hex      = hex_rgb(colour)
 colour_top5bits = [int(colour_hex[i:i+2], 16) >> 3 for i in range(1,7,2)]
 return (1 << 15) + (colour_top5bits[0] << 10) + (colour_top5bits[1] << 5) + colour_top5bits[2]
def roundm(x, multiple=1):
 if   (isinstance(x, tuple)): return tuple(roundm(list(x), multiple))
 elif (isinstance(x, list )): return [roundm(x_i, multiple) for x_i in x]
 else: return int(math.floor(float(x) / multiple + 0.5)) * multiple
def flatten(lss): return [l for ls in lss for l in ls]
def rotate(facetss, degs, colour=None): ## around x then y then z axes
 (deg_x,deg_y,deg_z) = degs
 (sin_x,cos_x) = (math.sin(math.radians(deg_x)), math.cos(math.radians(deg_x)))
 (sin_y,cos_y) = (math.sin(math.radians(deg_y)), math.cos(math.radians(deg_y)))
 (sin_z,cos_z) = (math.sin(math.radians(deg_z)), math.cos(math.radians(deg_z)))
 facet_rotatess = []
 for facets in facetss:
  facet_rotates = []
  for i_point in range(4):
   (x, y, z) = [facets[3 * i_point + i_xyz] for i_xyz in range(3)]
   if (x is None or y is None or z is None):
    facet_rotates += [x, y, z]
   else:
    (y, z) = (y * cos_x - z * sin_x,  y * sin_x + z * cos_x) ## rotate about x
    (x, z) = (x * cos_y + z * sin_y, -x * sin_y + z * cos_y) ## rotate about y
    (x, y) = (x * cos_z - y * sin_z,  x * sin_z + y * cos_z) ## rotate about z
    facet_rotates += [round(value, 9) for value in [x, y, z]]
  facet_rotatess.append(facet_rotates + [facets[12] if colour is None else colour])
 return facet_rotatess
def translate(facetss, ds, colour=None): ## ds = (dx,dy,dz)
 return [facets[:3] + [facets[3 * i_point + i_xyz] + ds[i_xyz]
                       for i_point in range(1,4) for i_xyz in range(3)] +
         [facets[12] if colour is None else colour] for facets in facetss]
def scale(facetss, ss, colour=None): ## ss = (sx,sy,sz)
 return [facets[:3] + [facets[3 * i_point + i_xyz] * ss[i_xyz]
                       for i_point in range(1,4) for i_xyz in range(3)] +
         [facets[12] if colour is None else colour] for facets in facetss]
def make_facetss(lotssss):
 facetss = []
 for facess in lotssss['faces']:
  vertexs        = facess['vertexs']
  vertex_facetss = [[float(xyz) for xyz in lotssss['vertexs'][i_vertex]['xyz']]
                    for i_vertex in (vertexs[::-1] if (facess['flip']) else vertexs)]
  facetss.append(flatten([(None,0,0)] + vertex_facetss + [[facess['colour']]]))
 return facetss
def finish(facetss, header):
 ## Calculate normals
 for facets in facetss:
  if (facets[0] is None or facets[1] is None or facets[2] is None):
   us      = [facets[i_xyz + 9] - facets[i_xyz + 6] for i_xyz in range(3)]
   vs      = [facets[i_xyz + 6] - facets[i_xyz + 3] for i_xyz in range(3)]
   normals = [us[1]*vs[2] - us[2]*vs[1], us[2]*vs[0] - us[0]*vs[2], us[0]*vs[1] - us[1]*vs[0]]
   normal_length = sum([component * component for component in normals]) ** 0.5
   facets[:3] = [round(component / normal_length, 10) for component in normals]

 print(tabbify([['N%s'  % (xyz   )                   for xyz in list('xyz')] +
                ['%s%d' % (xyz, n) for n in range(3) for xyz in list('XYZ')] + ['RGB']] + facetss))
 ## Compile STL
 outss = ([[('STL\n\n%-73s\n\n' % (header[:73])).encode('utf-8'), struct.pack('<L',len(facetss))]] +
          [[struct.pack('<f',float(value)) for value in facets[:12]] +
           [struct.pack('<H',0 if (len(facets) <= 12) else
                             viscam_colour(facets[12]))] for facets in facetss])
 out   = b''.join([bytes(out) for outs in outss for out in outs])
 # out += ('\n\n## Python script to generate STL\n\n%s\n' % (open(__file__).read())).encode('utf-8')
 print("# bytes:%d\t# facets:%d\ttitle:\"%-73s\"" % (len(out), len(facetss), header[:73]))
 with open(__file__[:__file__.rfind('.')] + '.stl', 'wb') as f_out: f_out.write(out)


corner_lotssss  = {'vertexs': [{'xyz':(0,2,1)},
                               {'xyz':(2,1,0)},
                               {'xyz':(1,0,2)}],
                   'faces':   [{'vertexs':[0,1,2], 'flip':True , 'colour':'#fff'}]}
side_lotssss    = {'vertexs': [{'xyz':( 0,2,1)},
                               {'xyz':( 2,1,0)},
                               {'xyz':(-2,1,0)}],
                   'faces':   [{'vertexs':[0,1,2], 'flip':True , 'colour':'#66f'}]}
corner_facetss  = make_facetss(corner_lotssss)
corner_facetss += scale       (corner_facetss, (-1,1,1), '#eee')
corner_facetss += scale       (corner_facetss, (1,-1,1), '#ccc')
corner_facetss += scale       (corner_facetss, (1,1,-1), '#999')
side_facetss    = make_facetss(side_lotssss)
side_facetss   += scale       (side_facetss, (1,1,-1))
side_facetss   += rotate      (side_facetss, (0,90,90), '#f00') + \
                  rotate      (side_facetss, (90,0,90), '#0c9')
side_facetss   += scale       (side_facetss, (-1,-1,-1))
finish(corner_facetss + side_facetss, "Jessen's icosahedron, made into a colour STL by CMG Lee.")