boxespy/boxes/drawing.py

import math
import datetime
from affine import Affine
from boxes.extents import Extents
from boxes.Color import Color as bColor
from xml.etree import ElementTree as ET

EPS = 1e-4
PADDING = 10

RANDOMIZE_COLORS = False  # enable to ease check for continuity of pathes


def points_equal(x1, y1, x2, y2):
    return abs(x1 - x2) < EPS and abs(y1 - y2) < EPS


def pdiff(p1, p2):
    x1, y1 = p1
    x2, y2 = p2
    return (x1 - x2, y1 - y2)


class Surface:

    scale = 1.0
    invert_y = False

    def __init__(self, fname):
        self._fname = fname
        self.parts = []
        self._p = self.new_part("default")

    def set_metadata(self, metadata):
        self.metadata = metadata

    def flush(self):
        pass

    def finish(self):
        pass

    def _adjust_coordinates(self):
        extents = self.extents()
        extents.xmin -= PADDING
        extents.ymin -= PADDING
        extents.xmax += PADDING
        extents.ymax += PADDING

        m = Affine.translation(-extents.xmin, -extents.ymin)
        if self.invert_y:
            m = Affine.scale(self.scale, -self.scale) * m
            m = Affine.translation(0, self.scale*extents.height) * m
        else:
            m = Affine.scale(self.scale, self.scale) * m

        self.transform(self.scale, m, self.invert_y)

        return Extents(0, 0, extents.width * self.scale, extents.height * self.scale)

    def render(self, renderer):
        renderer.init(**self.args)
        for p in self.parts:
            p.render(renderer)
        renderer.finish()

    def transform(self, f, m, invert_y=False):
        for p in self.parts:
            p.transform(f, m, invert_y)

    def new_part(self, name="part"):
        if self.parts and len(self.parts[-1].pathes) == 0:
            return self._p
        p = Part(name)
        self.parts.append(p)
        self._p = p
        return p

    def append(self, *path):
        self._p.append(*path)

    def stroke(self, **params):
        return self._p.stroke(**params)

    def move_to(self, *xy):
        self._p.move_to(*xy)

    def extents(self):
        if not self.parts:
            return Extents()
        return sum([p.extents() for p in self.parts])


class Part:
    def __init__(self, name):
        self.pathes = []
        self.path = []

    def extents(self):
        if not self.pathes:
            return Extents()
        return sum([p.extents() for p in self.pathes])

    def transform(self, f, m, invert_y=False):
        assert(not self.path)
        for p in self.pathes:
            p.transform(f, m, invert_y)

    def append(self, *path):
        self.path.append(list(path))

    def stroke(self, **params):
        if len(self.path) == 0:
            return
        # search for path ending at new start coordinates to append this path to
        xy0 = self.path[0][1:3]
        if (not points_equal(*xy0, *self.path[-1][1:3]) and
            not self.path[0][0] == "T"):
            for p in reversed(self.pathes):
                xy1 = p.path[-1][1:3]
                if points_equal(*xy0, *xy1) and p.params == params:
                    p.path.extend(self.path[1:])
                    self.path = []
                    return p
        p = Path(self.path, params)
        self.pathes.append(p)
        self.path = []
        return p

    def move_to(self, *xy):
        if len(self.path) == 0:
            self.path.append(["M", *xy])
        elif self.path[-1][0] == "M":
            self.path[-1] = ["M", *xy]
        else:
            xy0 = self.path[-1][1:3]
            if not points_equal(*xy0, *xy):
                self.path.append(["M", *xy])


class Path:
    def __init__(self, path, params):
        self.path = path
        self.params = params

    def __repr__(self):
        l = len(self.path)
        # x1,y1 = self.path[0][1:3]
        if l>0:
            x2, y2 = self.path[-1][1:3]
            return f"Path[{l}] to ({x2:.2f},{y2:.2f})"
        return f"empty Path"

    def extents(self):
        e = Extents()
        for p in self.path:
            e.add(*p[1:3])
            if p[0] == 'T':
                m, text, params = p[3:]
                h = params['fs']
                l = len(text) * h * 0.7
                align = params.get('align', 'left')
                start, end = {
                    'left' : (0, 1),
                    'middle' : (-0.5, 0.5),
                    'end' : (-1, 0),
                    }[align]
                for x in (start*l, end*l):
                    for y in (0, h):
                        x_, y_ = m * (x, y)
                        e.add(x_, y_)
        return e

    def transform(self, f, m, invert_y=False):
        self.params["lw"] *= f
        for c in self.path:
            C = c[0]
            c[1], c[2] = m * (c[1], c[2])
            if C == 'C':
                c[3], c[4] = m * (c[3], c[4])
                c[5], c[6] = m * (c[5], c[6])
            if C == "T":
                c[3] = m * c[3]
                if invert_y:
                    c[3] *= Affine.scale(1, -1)

    def faster_edges(self, inner_corners):
        if inner_corners == "backarc":
            return

        for (i, p) in enumerate(self.path):
            if p[0] == "C" and i > 1 and i < len(self.path) - 1:
                if self.path[i - 1][0] == "L" and self.path[i + 1][0] == "L":
                    p11 = self.path[i - 2][1:3]
                    p12 = self.path[i - 1][1:3]
                    p21 = p[1:3]
                    p22 = self.path[i + 1][1:3]
                    if (((p12[0]-p21[0])**2 + (p12[1]-p21[1])**2) >
                        self.params["lw"]**2):
                        continue
                    lines_intersect, x, y = line_intersection((p11, p12), (p21, p22))
                    if lines_intersect:
                        self.path[i - 1] = ("L", x, y)
                        if inner_corners == "loop":
                            self.path[i] = ("C", x, y, *p12, *p21)
                        else:
                            self.path[i] =  ("L", x, y)
        # filter duplicates
        if len(self.path) > 1: # no need to find duplicates if only one element in path
            self.path = [p for n, p in enumerate(self.path) if p != self.path[n-1]]

class Context:
    def __init__(self, surface, *al, **ad):
        self._renderer = self._dwg = surface

        self._bounds = Extents()
        self._padding = PADDING

        self._stack = []
        self._m = Affine.translation(0, 0)
        self._xy = (0, 0)
        self._mxy = self._m * self._xy
        self._lw = 0
        self._rgb = (0, 0, 0)
        self._ff = "sans-serif"
        self._fs = 10
        self._last_path = None

    def _update_bounds_(self, mx, my):
        self._bounds.update(mx, my)

    def save(self):
        self._stack.append(
            (self._m, self._xy, self._lw, self._rgb, self._mxy, self._last_path)
        )
        self._xy = (0, 0)

    def restore(self):
        (
            self._m,
            self._xy,
            self._lw,
            self._rgb,
            self._mxy,
            self._last_path,
        ) = self._stack.pop()

    ## transformations

    def translate(self, x, y):
        self._m *= Affine.translation(x, y)
        self._xy = (0, 0)

    def scale(self, sx, sy):
        self._m *= Affine.scale(sx, sy)

    def rotate(self, r):
        self._m *= Affine.rotation(180 * r / math.pi)

    def set_line_width(self, lw):
        self._lw = lw

    def set_source_rgb(self, r, g, b):
        self._rgb = (r, g, b)

    ## path methods

    def _line_to(self, x, y):
        self._add_move()
        x1, y1 = self._mxy
        self._xy = x, y
        x2, y2 = self._mxy = self._m * self._xy
        if not points_equal(x1, y1, x2, y2):
            self._dwg.append("L", x2, y2)

    def _add_move(self):
        self._dwg.move_to(*self._mxy)

    def move_to(self, x, y):
        self._xy = (x, y)
        self._mxy = self._m * self._xy

    def line_to(self, x, y):
        self._line_to(x, y)

    def _arc(self, xc, yc, radius, angle1, angle2, direction):
        if abs(angle1 - angle2) < EPS or radius < EPS:
            return
        x1, y1 = radius * math.cos(angle1) + xc, radius * math.sin(angle1) + yc
        x4, y4 = radius * math.cos(angle2) + xc, radius * math.sin(angle2) + yc

        # XXX direction seems not needed for small arcs
        ax = x1 - xc
        ay = y1 - yc
        bx = x4 - xc
        by = y4 - yc
        q1 = ax * ax + ay * ay
        q2 = q1 + ax * bx + ay * by
        k2 = 4/3 * ((2 * q1 * q2)**0.5 - q2) / (ax * by - ay * bx)

        x2 = xc + ax - k2 * ay
        y2 = yc + ay + k2 * ax
        x3 = xc + bx + k2 * by
        y3 = yc + by - k2 * bx

        mx1, my1 = self._m * (x1, y1)
        mx2, my2 = self._m * (x2, y2)
        mx3, my3 = self._m * (x3, y3)
        mx4, my4 = self._m * (x4, y4)
        mxc, myc = self._m * (xc, yc)

        self._add_move()
        self._dwg.append("C", mx4, my4, mx2, my2, mx3, my3)
        self._xy = (x4, y4)
        self._mxy = (mx4, my4)

    def arc(self, xc, yc, radius, angle1, angle2):
        self._arc(xc, yc, radius, angle1, angle2, 1)

    def arc_negative(self, xc, yc, radius, angle1, angle2):
        self._arc(xc, yc, radius, angle1, angle2, -1)

    def curve_to(self, x1, y1, x2, y2, x3, y3):
        # mx0,my0 = self._m*self._xy
        mx1, my1 = self._m * (x1, y1)
        mx2, my2 = self._m * (x2, y2)
        mx3, my3 = self._m * (x3, y3)
        self._add_move()
        self._dwg.append("C", mx3, my3, mx1, my1, mx2, my2)  # destination first!
        self._xy = (x3, y3)
        self._mxy = (mx3, my3)

    def stroke(self):
        # print('stroke stack-level=',len(self._stack),'lastpath=',self._last_path,)
        self._last_path = self._dwg.stroke(rgb=self._rgb, lw=self._lw)
        self._xy = (0, 0)

    def fill(self):
        self._xy = (0, 0)
        raise NotImplementedError()

    def set_font(self, style, bold=False, italic=False):
        if style not in ("serif", "sans-serif", "monospaced"):
            raise ValueError("Unknown font style")
        self._ff = (style, bold, italic)

    def set_font_size(self, fs):
        self._fs = fs

    def show_text(self, text, **args):
        params = {"ff": self._ff, "fs": self._fs, "lw": self._lw, "rgb": self._rgb}
        params.update(args)
        mx0, my0 = self._m * self._xy
        m = self._m
        self._dwg.append("T", mx0, my0, m, text, params)

    def text_extents(self, text):
        fs = self._fs
        # XXX ugly hack! Fix Boxes.text() !
        return (0, 0, 0.6 * fs * len(text), 0.65 * fs, fs * 0.1, 0)

    def rectangle(self, x, y, width, height):

        # todo: better check for empty path?
        self.stroke()

        self.move_to(x, y)
        self.line_to(x + width, y)
        self.line_to(x + width, y + height)
        self.line_to(x, y + height)
        self.line_to(x, y)
        self.stroke()

    def get_current_point(self):
        return self._xy

    def flush(self):
        pass
        # todo: check, if needed
        # self.stroke()

    ## additional methods
    def new_part(self):
        self._dwg.new_part()


class SVGSurface(Surface):

    invert_y = True

    fonts = {
        'serif' : 'TimesNewRoman, "Times New Roman", Times, Baskerville, Georgia, serif',
        'sans-serif' : '"Helvetica Neue", Helvetica, Arial, sans-serif',
        'monospaced' : '"Courier New", Courier, "Lucida Sans Typewriter"'
    }

    def _addTag(self, parent, tag, text, first=False):
        if first:
            t = ET.Element(tag)
        else:
            t = ET.SubElement(parent, tag)
        t.text = text
        t.tail = '\n'
        if first:
            parent.insert(0, t)
        return t

    def _add_metadata(self, root):
        md = self.metadata

        # Add Inkscape style rdf meta data
        root.set("xmlns:dc", "http://purl.org/dc/elements/1.1/")
        root.set("xmlns:cc", "http://creativecommons.org/ns#")
        root.set("xmlns:rdf","http://www.w3.org/1999/02/22-rdf-syntax-ns#")

        title = "{group} - {name}".format(**md)
        date = datetime.datetime.now().strftime("%Y-%m-%d %H:%M:%S")

        m = self._addTag(root, "metadata", '\n', True)
        r = ET.SubElement(m, 'rdf:RDF')
        w = ET.SubElement(r, 'cc:Work')
        w.text = '\n'

        self._addTag(w, 'dc:title', title)
        self._addTag(w, 'dc:date', date)

        if "url" in md and md["url"]:
            self._addTag(w, 'dc:source', md["url"])
        else:
            self._addTag(w, 'dc:source', md["cli"])

        desc = md["short_description"] or ""
        if "description" in md and md["description"]:
            desc += "\n\n" + md["description"]
        desc += "\n\nCreated with Boxes.py (https://festi.info/boxes.py)\n"
        desc += "Command line: %s\n" % md["cli"]
        if md["url"]:
            desc += "Url: %s\n" % md["url"]
            desc += "SettingsUrl: %s\n" % md["url"].replace("&render=1", "")
        self._addTag(w, 'dc:description', desc)

        # title
        self._addTag(root, "title", md["name"], True)

        # Add XML comment
        txt = """
{name} - {short_description}
""".format(**md)
        if md["description"]:
            txt += """

{description}

""".format(**md)
        txt += """
Created with Boxes.py (https://festi.info/boxes.py)
Creation date: {date}
""".format(date=date, **md)

        txt += "Command line (remove spaces between dashes): %s\n" % md["cli"]

        if md["url"]:
            txt += "Url: %s\n" % md["url"]
            txt += "SettingsUrl: %s\n" % md["url"].replace("&render=1", "")
        m = ET.Comment(txt.replace("--", "- -").replace("--", "- -")) # ----
        m.tail = '\n'
        root.insert(0, m)

    def finish(self, inner_corners="loop"):
        extents = self._adjust_coordinates()
        w = extents.width * self.scale
        h = extents.height * self.scale


        nsmap = {
                "dc": "http://purl.org/dc/elements/1.1/",
                "cc": "http://creativecommons.org/ns#",
                "rdf": "http://www.w3.org/1999/02/22-rdf-syntax-ns#",
                "svg": "http://www.w3.org/2000/svg",
                "xlink": "http://www.w3.org/1999/xlink",
                "inkscape": "http://www.inkscape.org/namespaces/inkscape",
            }
        ET.register_namespace("", "http://www.w3.org/2000/svg")
        ET.register_namespace("xlink", "http://www.w3.org/1999/xlink")
        svg = ET.Element('svg', width=f"{w:.2f}mm", height=f"{h:.2f}mm",
                         viewBox=f"0.0 0.0 {w:.2f} {h:.2f}",
                         xmlns="http://www.w3.org/2000/svg")
        for name, value in nsmap.items():
            svg.set(f"xmlns:{name}", value)
        svg.text = "\n"
        tree = ET.ElementTree(svg)

        self._add_metadata(svg)
        
        for i, part in enumerate(self.parts):
            if not part.pathes:
                continue
            g = ET.SubElement(svg, "g", id=f"p-{i}",
                              style="fill:none;stroke-linecap:round;stroke-linejoin:round;")
            g.text = "\n  "
            g.tail = "\n"
            for j, path in enumerate(part.pathes):
                p = []
                x, y = 0, 0
                start = None
                last = None
                path.faster_edges(inner_corners)
                for c in path.path:
                    x0, y0 = x, y
                    C, x, y = c[0:3]
                    if C == "M":
                        if start and points_equal(start[1], start[2],
                                                  last[1], last[2]):
                            p.append("Z")
                        start = c
                        p.append(f"M {x:.3f} {y:.3f}")
                    elif C == "L":
                        if abs(x - x0) < EPS:
                            p.append(f"V {y:.3f}")
                        elif abs(y - y0) < EPS:
                            p.append(f"H {x:.3f}")
                        else:
                            p.append(f"L {x:.3f} {y:.3f}")
                    elif C == "C":
                        x1, y1, x2, y2 = c[3:]
                        p.append(
                            f"C {x1:.3f} {y1:.3f} {x2:.3f} {y2:.3f} {x:.3f} {y:.3f}"
                        )
                    elif C == "T":
                        m, text, params = c[3:]
                        m = m * Affine.translation(0, -params['fs'])
                        tm = " ".join((f"{m[i]:.3f}" for i in (0, 3, 1, 4, 2, 5)))
                        font, bold, italic = params['ff']
                        fontweight = ("normal", "bold")[bool(bold)]
                        fontstyle = ("normal", "italic")[bool(italic)]

                        style = f"font-family: {font} ; font-weight: {fontweight}; font-style: {fontstyle}; fill: {rgb_to_svg_color(*params['rgb'])}"
                        t = ET.SubElement(g, "text",
                                          #x=f"{x:.3f}", y=f"{y:.3f}",
                                          transform=f"matrix( {tm} )",
                                          style=style)
                        t.text = text
                        t.set("font-size", f"{params['fs']}px")
                        t.set("text-anchor", params.get('align', 'left'))
                        t.set("dominant-baseline", 'hanging')
                    else:
                        print("Unknown", c)

                    last = c

                if start and start is not last and \
                   points_equal(start[1], start[2], last[1], last[2]):
                    p.append("Z")
                color = (
                    random_svg_color()
                    if RANDOMIZE_COLORS
                    else rgb_to_svg_color(*path.params["rgb"])
                )
                if p and p[-1][0] == "M":
                    p.pop()
                if p:  # might be empty if only contains text
                    t = ET.SubElement(g, "path", d=" ".join(p), stroke=color)
                    t.set("stroke-width", f'{path.params["lw"]:.2f}')
                    t.tail = "\n  "
            t.tail = "\n"
        tree.write(open(self._fname, "wb"), encoding="utf-8", xml_declaration=True, method="xml")

class PSSurface(Surface):

    scale = 72 / 25.4 # 72 dpi

    fonts = {
        ('serif', False, False) : 'Times-Roman',
        ('serif', False, True) : 'Times-Italic',
        ('serif', True, False) : 'Times-Bold',
        ('serif', True, True) : 'Times-BoldItalic',
        ('sans-serif', False, False) : 'Helvetica',
        ('sans-serif', False, True) : 'Helvetica-Oblique',
        ('sans-serif', True, False) : 'Helvetica-Bold',
        ('sans-serif', True, True) : 'Helvetica-BoldOblique',
        ('monospaced', False, False) : 'Courier',
        ('monospaced', False, True) : 'Courier-Oblique',
        ('monospaced', True, False) : 'Courier-Bold',
        ('monospaced', True, True) : 'Courier-BoldOblique',
        }

    def _metadata(self):
        md = self.metadata

        desc = ""
        desc += "%%Title: Boxes.py - {group} - {name}\n".format(**md)
        desc += f'%%CreationDate: {datetime.datetime.now().strftime("%Y-%m-%d %H:%M:%S")}\n'
        desc += f'%%Keywords: boxes.py, laser, laser cutter\n'
        desc += f'%%Creator: {md.get("url") or md["cli"]}\n'
        desc +=  "%%CreatedBy: Boxes.py (https://festi.info/boxes.py)\n"
        for line in (md["short_description"] or "").split("\n"):
            desc += "%% %s\n" % line
        desc += "%\n"
        if "description" in md and md["description"]:
            desc += "%\n"
            for line in md["description"].split("\n"):
                desc += "%% %s\n" % line
            desc += "%\n"

        desc += "%% Command line: %s\n" % md["cli"]
        if md["url"]:
            desc += f'%%Url: {md["url"]}\n'
            desc += f'%%SettingsUrl: {md["url"].replace("&render=1", "")}\n'
        return desc

    def finish(self, inner_corners="loop"):

        extents = self._adjust_coordinates()
        w = extents.width
        h = extents.height

        f = open(self._fname, "w", encoding="latin1", errors="replace")

        f.write("%!PS-Adobe-2.0\n")
        f.write(f"%%BoundingBox: 0 0 {w:.0f} {h:.0f}\n")
        f.write(self._metadata())
        f.write("""
1 setlinecap
1 setlinejoin
0.0 0.0 0.0 setrgbcolor
""")
        f.write("""
/ReEncode { % inFont outFont encoding | -
   /MyEncoding exch def
   exch findfont
   dup length dict
   begin
      {def} forall
      /Encoding MyEncoding def
      currentdict
   end
   definefont
} def

""")
        for font in self.fonts.values():
            f.write(f"/{font} /{font}-Latin1 ISOLatin1Encoding ReEncode\n")
        # f.write(f"%%DocumentMedia: \d+x\d+mm ((\d+) (\d+)) 0 \("
        # dwg['width']=f'{w:.2f}mm'
        # dwg['height']=f'{h:.2f}mm'

        for i, part in enumerate(self.parts):
            if not part.pathes:
                continue
            for j, path in enumerate(part.pathes):
                p = []
                x, y = 0, 0
                path.faster_edges(inner_corners)

                for c in path.path:
                    x0, y0 = x, y
                    C, x, y = c[0:3]
                    if C == "M":
                        p.append(f"{x:.3f} {y:.3f} moveto")
                    elif C == "L":
                        p.append(f"{x:.3f} {y:.3f} lineto")
                    elif C == "C":
                        x1, y1, x2, y2 = c[3:]
                        p.append(
                            f"{x1:.3f} {y1:.3f} {x2:.3f} {y2:.3f} {x:.3f} {y:.3f} curveto"
                        )
                    elif C == "T":
                        m, text, params = c[3:]
                        tm = " ".join((f"{m[i]:.3f}" for i in (0, 3, 1, 4, 2, 5)))
                        text = text.replace("(", "r\(").replace(")", r"\)")
                        color = " ".join((f"{c:.2f}"
                                          for c in params["rgb"]))
                        align = params.get('align', 'left')
                        f.write(f"/{self.fonts[params['ff']]}-Latin1 findfont\n")
                        f.write(f"{params['fs']} scalefont\n")
                        f.write("setfont\n")
                        #f.write(f"currentfont /Encoding  ISOLatin1Encoding put\n")
                        f.write(f"{color} setrgbcolor\n")
                        f.write("matrix currentmatrix") # save current matrix
                        f.write(f"[ {tm} ] concat\n")
                        if align == "left":
                            f.write(f"0.0\n")
                        else:
                            f.write(f"({text}) stringwidth pop ")
                            if align == "middle":
                                f.write(f"-0.5 mul\n")
                            else: # end
                                f.write(f"neg\n")
                        # offset y by descender
                        f.write("currentfont dup /FontBBox get 1 get \n")
                        f.write("exch /FontMatrix get 3 get mul neg moveto \n")

                        f.write(f"({text}) show\n") # text created by dup above
                        f.write("setmatrix\n\n") # restore matrix
                    else:
                        print("Unknown", c)
                color = (
                    random_svg_color()
                    if RANDOMIZE_COLORS
                    else rgb_to_svg_color(*path.params["rgb"])
                )
                if p:  # todo: might be empty since text is not implemented yet
                    color = " ".join((f"{c:.2f}"
                                      for c in path.params["rgb"]))
                    f.write("newpath\n")
                    f.write("\n".join(p))
                    f.write("\n")
                    f.write(f"{path.params['lw']} setlinewidth\n")
                    f.write(f"{color} setrgbcolor\n")
                    f.write("stroke\n\n")
        f.write(
            """
showpage
%%Trailer
%%EOF
"""
        )
        f.close()

class LBRN2Surface(Surface):


    invert_y = False
    dbg = False

    fonts = {
        'serif' : 'Times New Roman',
        'sans-serif' : 'Arial',
        'monospaced' : 'Courier New'
    }

    lbrn2_colors=[
        0,  # Colors.OUTER_CUT    (BLACK)   --> Lightburn C00 (black)
        1,  # Colors.INNER_CUT    (BLUE)    --> Lightburn C01 (blue)
        3,  # Colors.ETCHING      (GREEN)   --> Lightburn C02 (green)
        6,  # Colors.ETCHING_DEEP (CYAN)    --> Lightburn C06 (cyan)
        30, # Colors.ANNOTATIONS  (RED)     --> Lightburn T1
        7,  # Colors.OUTER_CUT    (MAGENTA) --> Lightburn C07 (magenta)
        4,  # Colors.OUTER_CUT    (YELLOW)  --> Lightburn C04 (yellow)
        8,  # Colors.OUTER_CUT    (WHITE)   --> Lightburn C08 (grey)
        ]

    def finish(self, inner_corners="loop"):
        if self.dbg: print("LBRN2 save")
        extents = self._adjust_coordinates()
        w = extents.width * self.scale
        h = extents.height * self.scale

        svg = ET.Element('LightBurnProject', AppVersion="1.0.06", FormatVersion="1", MaterialHeight="0", MirrorX="False", MirrorY="False")
        svg.text = "\n"
        num = 0
        txtOffset = {}

        tree = ET.ElementTree(svg)
        if self.dbg: print ("8", num)
        
        cs = ET.SubElement(svg, "CutSetting", Type="Cut")
        index    = ET.SubElement(cs, "index",    Value="3")         # green layer (ETCHING)
        name     = ET.SubElement(cs, "name",     Value="Etch")
        priority = ET.SubElement(cs, "priority", Value="0")         # is cut first

        cs = ET.SubElement(svg, "CutSetting", Type="Cut")
        index    = ET.SubElement(cs, "index",    Value="6")         # cyan layer (ETCHING_DEEP)
        name     = ET.SubElement(cs, "name",     Value="Deep Etch")
        priority = ET.SubElement(cs, "priority", Value="1")         # is cut second

        cs = ET.SubElement(svg, "CutSetting", Type="Cut")
        index    = ET.SubElement(cs, "index",    Value="7")         # magenta layer (MAGENTA)
        name     = ET.SubElement(cs, "name",     Value="C07")
        priority = ET.SubElement(cs, "priority", Value="2")         # is cut third

        cs = ET.SubElement(svg, "CutSetting", Type="Cut")
        index    = ET.SubElement(cs, "index",    Value="4")         # yellow layer (YELLOW)
        name     = ET.SubElement(cs, "name",     Value="C04")
        priority = ET.SubElement(cs, "priority", Value="3")         # is cut third

        cs = ET.SubElement(svg, "CutSetting", Type="Cut")
        index    = ET.SubElement(cs, "index",    Value="8")         # grey layer (WHITE)
        name     = ET.SubElement(cs, "name",     Value="C08")
        priority = ET.SubElement(cs, "priority", Value="4")         # is cut fourth

        cs = ET.SubElement(svg, "CutSetting", Type="Cut")
        index    = ET.SubElement(cs, "index",    Value="1")         # blue layer (INNER_CUT)
        name     = ET.SubElement(cs, "name",     Value="Inner Cut")
        priority = ET.SubElement(cs, "priority", Value="5")         # is cut fifth

        cs = ET.SubElement(svg, "CutSetting", Type="Cut")
        index    = ET.SubElement(cs, "index",    Value="0")         # black layer (OUTER_CUT)
        name     = ET.SubElement(cs, "name",     Value="Outer Cut")
        priority = ET.SubElement(cs, "priority", Value="6")         # is cut sixth

        cs = ET.SubElement(svg, "CutSetting", Type="Tool")
        index    = ET.SubElement(cs, "index",    Value="30")        # T1 layer (ANNOTATIONS)
        name     = ET.SubElement(cs, "name",     Value="T1")        # tool layer do not support names
        priority = ET.SubElement(cs, "priority", Value="7")         # is not cut at all
                
        for i, part in enumerate(self.parts):
            if self.dbg: print ("7", num)
            if not part.pathes:
                continue
            gp = ET.SubElement(svg, "Shape", Type="Group")
            gp.text = "\n  "
            gp.tail = "\n"
            children = ET.SubElement(gp, "Children")
            children.text = "\n  "
            children.tail = "\n"
            
            for j, path in enumerate(part.pathes):
                myColor = self.lbrn2_colors[4*int(path.params["rgb"][0])+2*int(path.params["rgb"][1])+int(path.params["rgb"][2])]

                p = []
                x, y = 0, 0
                C = ""
                start = None
                last = None
                path.faster_edges(inner_corners)
                num = 0
                cnt = 1
                ende = len(path.path)-1
                if self.dbg: 
                    for c in path.path:
                        print ("6",num, c)
                        num += 1
                    num = 0
                    
                c = path.path[num]
                C, x, y = c[0:3]
                if self.dbg: print("ende:" ,ende)
                while num < ende or (C == "T" and num <= ende): #len(path.path):
                    if self.dbg: print ("0", num)
                    c = path.path[num]
                    if self.dbg: print("first: ", num, c)

                    C, x, y = c[0:3]
                    if C == "M":
                        if self.dbg: print ("1", num)
                        sh = ET.SubElement(children, "Shape", Type="Path", CutIndex=str(myColor))
                        sh.text = "\n  "
                        sh.tail = "\n"
                        vl = ET.SubElement(sh, "VertList")
                        vl.text = f"V{x:.3f} {y:.3f}c0x1c1x1"
                        vl.tail = "\n"
                        pl = ET.SubElement(sh, "PrimList")
                        pl.text = ""#f"L{cnt} {cnt+1}"
                        pl.tail = "\n"
                        start = c
                        x0, y0 = x, y
                        # do something with M
                        done = False
                        bspline = False
                        while done == False and num < ende: #len(path.path):
                            num += 1
                            c = path.path[num]
                            if self.dbg: print ("next: ",num, c)
                            C, x, y = c[0:3]
                            if C == "M":
                                if start and points_equal(start[1], start[2], x, y):
                                    pl.text = "LineClosed"
                                start = c
                                cnt = 1
                                if self.dbg: print ("next, because M")
                                done = True
                            elif C == "T":
                                if self.dbg: print ("next, because T")
                                done = True
                            else:
                                if C == "L":
                                    vl.text+=(f"V{x:.3f} {y:.3f}c0x1c1x1")
                                    pl.text += f"L{cnt-1} {cnt}"
                                    cnt +=1
                                elif C == "C":
                                    x1, y1, x2, y2 = c[3:]
                                    if self.dbg: print ("C: ",x0, y0, x1, y1, x, y, x2, y2)
                                    vl.text+=(f"V{x0:.3f} {y0:.3f}c0x{(x1):.3f}c0y{(y1):.3f}c1x1V{x:.3f} {y:.3f}c0x1c1x{(x2):.3f}c1y{(y2):.3f}")
                                    pl.text += f"L{cnt-1} {cnt}B{cnt} {cnt+1}"
                                    cnt +=2
                                    bspline = True
                                else:
                                    print("unknown", c)
                            if done == False:
                                x0, y0 = x, y
                
                        if start and points_equal(start[1], start[2], x0, y0):
                                if bspline == False:
                                    pl.text = "LineClosed"
                        start = c
                        if self.dbg: print ("2", num)
                    elif C == "T":
                        cnt = 1
                        #C = ""
                        if self.dbg: print ("3", num)
                        m, text, params = c[3:]
                        m = m * Affine.translation(0, params['fs'])
                        if self.dbg: print ("T: ",x, y, c)
                        num += 1
                        font, bold, italic = params['ff']
                        if params.get('font', 'Arial')=='Arial':
                            f = self.fonts[font]
                        else:
                            f = params.get('font', 'Arial')
                        fontColor = self.lbrn2_colors[4*int(params["rgb"][0])+2*int(params["rgb"][1])+int(params["rgb"][2])]

                        #alignment can be left|middle|end
                        if params.get('align', 'left')=='middle':
                            hor = '1'
                        else:
                            if params.get('align', 'left')=='end':
                                hor = '2'
                            else:
                                hor = '0'
                        ver = 1 # vertical is always bottom, text is shifted in box class
                        
                        pos = text.find('%')
                        offs = 0
                        if pos >- 1:
                            if self.dbg: print ("p: ", pos, text[pos+1:pos+3])
                            texttype = '2'
                            if self.dbg: print("l ", len(text[pos+1:pos+3]))
                            if text[pos+1:pos+2].isnumeric():
                                if self.dbg: print ("t0", text[pos+1:pos+3])
                                if text[pos+1:pos+3].isnumeric() and len(text[pos+1:pos+3]) == 2:
                                    if self.dbg: print ("t1")
                                    if text[pos:pos+3] in txtOffset:
                                        if self.dbg: print ("t2")
                                        offs = txtOffset[text[pos:pos+3]] + 1
                                    else:
                                        if self.dbg: print ("t3")
                                        offs = 0
                                    txtOffset[text[pos:pos+3]] = offs
                                else:
                                    if self.dbg: print ("t4")
                                    if text[pos:pos+2] in txtOffset:
                                        if self.dbg: print ("t5")
                                        offs = txtOffset[text[pos:pos+2]] + 1
                                    else:
                                        offs = 0
                                        if self.dbg: print ("t6")
                                    txtOffset[text[pos:pos+2]] = offs
                            else:
                                if self.dbg: print ("t7")
                                texttype = '0'
                        else:
                            texttype = '0'
                            if self.dbg: print ("t8")
                        if self.dbg: print ("o: ", text, txtOffset, offs)

                        if not text:
                            if self.dbg: print ("T: text with empty string - ",x, y, c)
                        else:
                            sh = ET.SubElement(children, "Shape", Type="Text", CutIndex=str(fontColor), Font=f"{f}", H=f"{(params['fs']*1.75*0.6086434):.3f}", Str=f"{text}", Bold=f"{'1' if bold else '0'}", Italic=f"{'1' if italic else '0'}", Ah=f"{str(hor)}", Av=f"{str(ver)}", Eval=f"{texttype}", VariableOffset=f"{str(offs)}")  # 1mm = 1.75 Lightburn H units
                            sh.text = "\n  "
                            sh.tail = "\n"
                            xf = ET.SubElement(sh, "XForm")
                            xf.text = " ".join((f"{m[i]:.3f}" for i in (0, 3, 1, 4, 2, 5)))
                            xf.tail = "\n"
                    else:
                        if self.dbg: print ("4", num)
                        print ("next, because not M")
                        num += 1

        url = self.metadata["url"].replace("&render=1", "") # remove render argument to get web form again
        
        pl = ET.SubElement(svg, "Notes", ShowOnLoad="1", Notes="File created by Boxes.py script, programmed by Florian Festi.\nLightburn output by Klaus Steinhammer.\n\nURL with settings:\n" + str(url))
        pl.text = ""
        pl.tail = "\n"

        if self.dbg: print ("5", num)
        tree.write(open(self._fname, "wb"), encoding="utf-8", xml_declaration=True, method="xml")
from random import random


def random_svg_color():
    r, g, b = random(), random(), random()
    return f"rgb({r*255:.0f},{g*255:.0f},{b*255:.0f})"


def rgb_to_svg_color(r, g, b):
    return f"rgb({r*255:.0f},{g*255:.0f},{b*255:.0f})"


def line_intersection(line1, line2):

    xdiff = (line1[0][0] - line1[1][0], line2[0][0] - line2[1][0])
    ydiff = (line1[0][1] - line1[1][1], line2[0][1] - line2[1][1])

    def det(a, b):
        return a[0] * b[1] - a[1] * b[0]

    div = det(xdiff, ydiff)
    if div == 0:
        # todo: deal with paralel line intersection / overlay
        return False, None, None

    d = (det(*line1), det(*line2))
    x = det(d, xdiff) / div
    y = det(d, ydiff) / div

    on_segments = (
        (x + EPS >= min(line1[0][0], line1[1][0])),
        (x + EPS >= min(line2[0][0], line2[1][0])),
        (x - EPS <= max(line1[0][0], line1[1][0])),
        (x - EPS <= max(line2[0][0], line2[1][0])),
        (y + EPS >= min(line1[0][1], line1[1][1])),
        (y + EPS >= min(line2[0][1], line2[1][1])),
        (y - EPS <= max(line1[0][1], line1[1][1])),
        (y - EPS <= max(line2[0][1], line2[1][1])),
    )

    return min(on_segments), x, y