add tree

planter.py

@@ -1,16 +1,18 @@
+from cadquery import exporters
 from cq_warehouse.bearing import SingleRowDeepGrooveBallBearing
+from cq_warehouse.extensions import Workplane
 from cq_warehouse.fastener import *
 from cq_warehouse.thread import *
 from cqmore.curve import archimedeanSpiral, circle
 from cqmore.polygon import regularPolygon, star
 from cqmore.polyhedron import polarZonohedra, Polyhedron, superellipsoid
-from cq_warehouse.extensions import Workplane
-import functools as fnc
-import itertools as it
+from svg_path import addSvgPath
+from svgpathtools import svg2paths
 import cadquery as cq
 import cqmore
 
 Workplane = cqmore.extend(Workplane)
+Workplane.addSvgPath = addSvgPath
 
 planter_height = 210
 planter_radius = 129
@@ -29,8 +31,7 @@ result = Workplane().polyhedron(*outer_poly)
 holder_angle_offset = 20
 
 
-result = (
-    result.workplane(offset=-36)
+planter_polygon = (result.workplane(offset=-36)
     .makePolygon(
         regularPolygon(
             nSides=4,
@@ -39,11 +40,29 @@ result = (
             thetaEnd=360 + holder_angle_offset,
         ),
         forConstruction=True,
-    )
+    ))
+
+result = (
+    planter_polygon
     .vertices()
     .sphere(8, combine="cut")
 )
 
+paths, attributes = svg2paths("/home/deck/cad_files/tree_of_gondor_small.svg")
+
+#print(dir(result.addSvgPath(paths[0])))
+
+tree = (Workplane("YZ")
+       .center(0, 75)
+       .addSvgPath(paths[0])
+       .extrude(-4)
+       .translate((94.8, -100, 0))
+        )
+
+print(tree)
+
+result = result.cut(tree, clean=False)
+
 cone = cq.Solid.makeCone(planter_radius, 33, planter_height + 95)
 
 result = result.workplane().cut(cone)

svg_path.py

@@ -0,0 +1,118 @@
+import svgpathtools
+import numpy as np
+from math import sin, cos, sqrt, pi, acos, fmod, degrees
+
+
+# See https://gist.github.com/dov/8d9b0304ba85e3229aabccac3c6468ef/d007910a9b68201a6c95852a220f96711ba3faa1
+def tpl(cplx):
+    """Convert a complex number to a tuple"""
+    return (cplx.real, cplx.imag)
+
+
+def angle_between(u, v):
+    """Find the angle between the vectors u an v"""
+    ux, uy = u
+    vx, vy = v
+    sign = 1 if ux * vy - uy * vx > 0 else -1
+    arg = (ux * vx + uy * vy) / (sqrt(ux * ux + uy * uy) * sqrt(vx * vx + vy * vy))
+    return sign * acos(arg)
+
+
+# Implementation of https://www.w3.org/TR/SVG/implnote.html#ArcConversionCenterToEndpoint
+def arc_endpoint_to_center(start, end, flag_a, flag_s, radius, phi):
+    """Convert a endpoint elliptical arc description to a center description"""
+    rx, ry = radius.real, radius.imag
+    x1, y1 = start.real, start.imag
+    x2, y2 = end.real, end.imag
+
+    cosphi = cos(phi)
+    sinphi = sin(phi)
+    rx2 = rx * rx
+    ry2 = ry * ry
+
+    # Step 1. Compute x1p,y1p
+    x1p, y1p = (
+        np.array([[cosphi, sinphi], [-sinphi, cosphi]])
+        @ np.array([x1 - x2, y1 - y2])
+        * 0.5
+    ).flatten()
+    x1p2 = x1p * x1p
+    y1p2 = y1p * y1p
+
+    # Step 2: Compute (cx', cy')
+    cxyp = sqrt(
+        (rx2 * ry2 - rx2 * y1p2 - ry2 * x1p2) / (rx2 * y1p2 + ry2 * x1p2)
+    ) * np.array([rx * y1p / ry, -ry * x1p / rx])
+
+    if flag_a == flag_s:
+        cxyp = -cxyp
+
+    cxp, cyp = cxyp.flatten()
+
+    # Step 3: compute (cx,cy) from (cx',cy')
+    cx, cy = (
+        cosphi * cxp - sinphi * cyp + 0.5 * (x1 + x2),
+        sinphi * cxp + cosphi * cyp + 0.5 * (y1 + y2),
+    )
+
+    # Step 4: compute theta1 and deltatheta
+    theta1 = angle_between((1, 0), ((x1p - cxp) / rx, (y1p - cyp) / ry))
+    delta_theta = fmod(
+        angle_between(
+            ((x1p - cxp) / rx, (y1p - cyp) / ry), ((-x1p - cxp) / rx, (-y1p - cyp) / ry)
+        ),
+        2 * pi,
+    )
+
+    # Choose the right edge according to the flags
+    if not flag_s and delta_theta > 0:
+        delta_theta -= 2 * pi
+    elif flag_s and delta_theta < 0:
+        delta_theta += 2 * pi
+
+    return (cx, cy), theta1, delta_theta
+
+
+def addSvgPath(self, path):
+    """Add the svg path object to the current workspace"""
+    res = self
+    path_start = None
+    arc_id = 0
+    for p in path:
+        if path_start is None:
+            path_start = p.start
+        res = res.moveTo(*tpl(p.start))
+
+        # Support the four svgpathtools different objects
+        if isinstance(p, svgpathtools.CubicBezier):
+            coords = (tpl(p.start), tpl(p.control1), tpl(p.control2), tpl(p.end))
+            res = res.bezier(coords)
+            print("cubic bezier")
+        elif isinstance(p, svgpathtools.QuadraticBezier):
+            coords = (tpl(p.start), tpl(p.control), tpl(p.end))
+            res = res.bezier(coords)
+            print("quadratic bezier")
+            pass
+        elif isinstance(p, svgpathtools.Arc):
+            arc_id += 1
+            center, theta1, delta_theta = arc_endpoint_to_center(
+                p.start, p.end, p.large_arc, p.sweep, p.radius, p.rotation
+            )
+
+            res = res.ellipseArc(
+                x_radius=p.radius.real,
+                y_radius=p.radius.imag,
+                rotation_angle=degrees(p.rotation),
+                angle1=degrees(theta1),
+                angle2=degrees(theta1 + delta_theta),
+            )
+            print("ellipse arc")
+        elif isinstance(p, svgpathtools.Line):
+            res = res.lineTo(p.end.real, p.end.imag)
+            print("line")
+
+        if path_start == p.end:
+            path_start = None
+            res = res.close()
+
+    return res