431 lines
22 KiB
Python
431 lines
22 KiB
Python
#!/usr/bin/env python3
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# Distributed under the terms of the GNU Lesser General Public License v3.0
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import math
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import inkex
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from copy import deepcopy
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from lxml import etree
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from inkex.transforms import Transform
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from inkex import Color
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# Helper functions
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def calc_angle_between_points(p1, p2):
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xDiff = p2[0] - p1[0]
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yDiff = p2[1] - p1[1]
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return math.degrees(math.atan2(yDiff, xDiff))
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def calc_dist_between_points(p1, p2):
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xDiff = p2[0] - p1[0]
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yDiff = p2[1] - p1[1]
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return math.sqrt(yDiff*yDiff + xDiff*xDiff)
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def normalize(p1, p2):
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" p1,p2 defines a vector return normalized "
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xDiff = p2[0] - p1[0]
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yDiff = p2[1] - p1[1]
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magn = calc_dist_between_points(p1,p2)
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return (xDiff/magn, yDiff/magn)
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def polar_to_cartesian(cx, cy, radius, angle_degrees):
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" So we can make arcs in the 'A' svg syntax. "
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angle_radians = math.radians(angle_degrees)
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return [
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cx + (radius * math.cos(angle_radians)),
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cy + (radius * math.sin(angle_radians))
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]
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def point_on_circle(radius, angle):
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" return xy coord of the point at distance radius from origin at angle "
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x = radius * math.cos(angle)
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y = radius * math.sin(angle)
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return [x, y]
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class SheetMetalConus(inkex.Effect):
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""" Program to unfold a frustum of a cone or a cone
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(if parameter diaCut=0) and generate a sheet cutting layout
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or flat pattern projection that can be rolled or bend up into a (truncated) cone shape.
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"""
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color_marker_dim = '#703cd6' # purple
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color_marker_chords = '#9d2222' # red
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color_marker_base = '#36ba36' # green
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# Arrowed lines
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dimline_style = {'stroke' : '#000000',
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'stroke-width' : '0.75px',
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'fill' : 'none',
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'marker-start' : 'url(#ArrowDIN-start)',
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'marker-end' : 'url(#ArrowDIN-end)' }
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def __init__(self):
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inkex.Effect.__init__(self) # Call the base class constructor.
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self.arg_parser.add_argument('-b', '--diaBase', type = float, dest = 'diaBase', default = 300.0, help = 'The diameter of the cones base.')
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self.arg_parser.add_argument('-c', '--diaCut', type = float, default = 100.0, help = 'The diameter of cones cut (0.0 if cone is not cut.')
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self.arg_parser.add_argument('-l', '--heightCone', type = float, default = 200.0, help = 'The height of the (cut) cone.')
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self.arg_parser.add_argument('-u', '--units', default = 'mm', help = 'The units in which the cone values are given. mm or in for real objects')
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self.arg_parser.add_argument('-w', '--strokeWidth', type = float, default = 0.3, help = 'The line thickness in given unit. For laser cutting it should be rather small.')
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self.arg_parser.add_argument('-f', '--strokeColour', type=Color, default = 255, help = 'The line colour.')
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self.arg_parser.add_argument('-d', '--verbose', type = inkex.Boolean, default = False, help = 'Enable verbose output of calculated parameters. Used for debugging or is someone needs the calculated values.')
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# Marker arrows
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def makeMarkerstyle(self, name, rotate):
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" Markers added to defs for reuse "
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defs = self.svg.getElement('/svg:svg//svg:defs')
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if defs == None:
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defs = etree.SubElement(self.document.getroot(),inkex.addNS('defs','svg'))
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marker = etree.SubElement(defs ,inkex.addNS('marker','svg'))
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marker.set('id', name)
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marker.set('orient', 'auto')
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marker.set('refX', '0.0')
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marker.set('refY', '0.0')
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marker.set('style', 'overflow:visible')
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marker.set(inkex.addNS('stockid','inkscape'), name)
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arrow = etree.Element("path")
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# definition of arrows in beautiful DIN-shapes:
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if name.startswith('ArrowDIN-'):
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if rotate:
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arrow.set('d', 'M 8,0 -8,2.11 -8,-2.11 z')
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else:
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arrow.set('d', 'M -8,0 8,-2.11 8,2.11 z')
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if name.startswith('ArrowDINout-'):
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if rotate:
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arrow.set('d', 'M 0,0 16,2.11 16,0.5 26,0.5 26,-0.5 16,-0.5 16,-2.11 z')
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else:
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arrow.set('d', 'M 0,0 -16,2.11 -16,0.5 -26,0.5 -26,-0.5 -16,-0.5 -16,-2.11 z')
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arrow.set('style', 'fill:#000000;stroke:none')
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marker.append(arrow)
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def set_arrow_dir(self, option, style):
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if option=='inside':
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# inside
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self.arrowlen = 6.0
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style['marker-start'] = 'url(#ArrowDIN-start)'
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style['marker-end'] = 'url(#ArrowDIN-end)'
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self.makeMarkerstyle('ArrowDIN-start', False)
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self.makeMarkerstyle('ArrowDIN-end', True)
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else:
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# outside
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self.arrowlen = 0
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style['marker-start'] = 'url(#ArrowDINout-start)'
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style['marker-end'] = 'url(#ArrowDINout-end)'
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self.makeMarkerstyle('ArrowDINout-start', False)
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self.makeMarkerstyle('ArrowDINout-end', True)
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def drawDimArc(self, center, start, end, radius, style, parent, gap=0, lowside=True):
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" just the arrowed arc line "
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angle = abs(end-start)
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# inside or outside
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inside = True
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critical_length = 35
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dist = calc_dist_between_points(point_on_circle(radius, start), point_on_circle(radius, end))
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if angle < 45 and dist > critical_length: inside = False
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# change start and end angles to make room for arrow markers
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arrow_angle = math.degrees(math.sin(self.arrowlen/radius))
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if lowside:
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start += arrow_angle
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angle -= arrow_angle
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anglefac = 1
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else:
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start -= arrow_angle
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angle -= arrow_angle
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anglefac = -1
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#
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if gap == 0:
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line_attribs = {'style' : str(inkex.Style(style)),
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'd' : self.build_arc(center, start, angle*anglefac, radius, lowside) }
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ell = etree.SubElement(parent, inkex.addNS('path','svg'), line_attribs )
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else: # leave a gap for label
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gap_angle = math.degrees(math.sin(gap/radius))
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startstyle = deepcopy(style)
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startstyle['marker-start'] = None
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line_attribs = {'style' : str(inkex.Style(startstyle)),
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'd' : self.build_arc(center, start, angle*anglefac/2-gap_angle/2*anglefac, radius, lowside) }
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ell = etree.SubElement(parent, inkex.addNS('path','svg'), line_attribs )
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endstyle = deepcopy(style)
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endstyle['marker-end'] = None
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line_attribs = {'style' : str(inkex.Style(endstyle)),
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'd' : self.build_arc(center, angle/2*anglefac+gap_angle/2*anglefac, angle*anglefac, radius, lowside) }
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etree.SubElement(parent, inkex.addNS('path','svg'), line_attribs )
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# return pos in center of gap (or arc)
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textposangle = angle/2*anglefac
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return (point_on_circle(radius, math.radians(textposangle)))
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def drawDimension(self, a, b, style, parent):
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" draw arrowed dimensions using markers "
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# draw arrows as inside or outside dimension
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critical_length = 35.
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if calc_dist_between_points(a,b) > critical_length:
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self.set_arrow_dir('inside', style)
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else:
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self.set_arrow_dir('outside', style)
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attribs = {'style' : str(inkex.Style(style))}
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# account for length change so arrows fit
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norm = normalize(a, b)
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dim_start_x = a[0] + self.arrowlen*norm[0]
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dim_start_y = a[1] + self.arrowlen*norm[1]
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dim_end_x = b[0] - self.arrowlen*norm[0]
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dim_end_y = b[1] - self.arrowlen*norm[1]
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#
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attribs['d'] = 'M %f,%f %f,%f' % (dim_start_x, dim_start_y, dim_end_x, dim_end_y)
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dimline = etree.SubElement(parent, inkex.addNS('path', 'svg'), attribs)
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return dimline
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def calculateCone(self, dictCone):
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""" Calculates all relevant values in order to construct a cone.
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These values are:
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- short radius
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- long radius
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- angle of cone layout
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- chord of base diameter
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- chord of cut diameter
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- coordinates of points A, B, C and D
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"""
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dBase = dictCone['diaBase']
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dCut = dictCone['diaCut']
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hCone = dictCone['heightCone']
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base = dBase - dCut
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# radius from top of cone to cut
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if dCut > 0:
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shortRadius = math.sqrt( dCut*dCut/4 + (dCut*hCone)/base * (dCut*hCone)/base )
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else:
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shortRadius=0.0
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dictCone['shortRadius'] = shortRadius
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## radius from top of cone to base of cone
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longRadius=math.sqrt( dBase*dBase/4 + (dBase*hCone)/base * (dBase*hCone)/base )
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dictCone['longRadius'] = longRadius
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## angle of circle sector
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angle=(math.pi * dBase) / longRadius
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dictCone['angle'] = angle
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# chord is the straight line between the 2 endpoints of an arc.
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# Not used directly, but available in verbose output.
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chordBase = longRadius * math.sqrt( 2* (1-math.cos(angle)) )
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dictCone['chordBase'] = chordBase
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chordCut = shortRadius * math.sqrt( 2* (1-math.cos(angle)) )
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dictCone['chordCut'] = chordCut
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# calculate coordinates of points A, B, C and D
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# center M is at (0,0) and points A and B are on the x-axis:
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ptA = (shortRadius, 0.0)
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ptB = (longRadius, 0.0)
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# we can calculate points C and D with the given radii and the calculated angle
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ptC=(longRadius * math.cos(angle), longRadius * math.sin(angle))
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ptD=(shortRadius * math.cos(angle), shortRadius * math.sin(angle))
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dictCone['ptA'] = ptA
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dictCone['ptB'] = ptB
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dictCone['ptC'] = ptC
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dictCone['ptD'] = ptD
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def effect(self):
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""" Effect behaviour.
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- Overrides base class' method and draws rolled out sheet metal cone into SVG document.
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"""
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# calc scene scale
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convFactor = self.svg.unittouu("1" + self.options.units)
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# Store all the relevants values in a dictionary for easy access
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dictCone={'diaBase': self.options.diaBase,
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'diaCut': self.options.diaCut,
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'heightCone': self.options.heightCone }
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# Get all values needed in order to draw cone layout:
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self.calculateCone(dictCone)
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# Draw the cone layout:
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# Make top level group
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t = 'translate(%s,%s)' % (self.svg.namedview.center[0], self.svg.namedview.center[1])
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grp_attribs = {inkex.addNS('label','inkscape'):'Sheet Metal Conus Group', 'transform':t}
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grp = etree.SubElement(self.svg.get_current_layer(), 'g', grp_attribs)
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linestyle = { 'stroke' : self.options.strokeColour, 'fill' : 'none',
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'stroke-width': str(self.svg.unittouu(str(self.options.strokeWidth) + self.options.units)) }
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line_attribs = {'style' : str(inkex.Style(linestyle)), inkex.addNS('label','inkscape') : 'Cone' }
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# Connect the points into a single path of lines and arcs
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zeroCenter=(0.0, 0.0)
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angle = math.degrees(dictCone['angle'])
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path = ""
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path += self.build_line(dictCone['ptA'][0], dictCone['ptA'][1], dictCone['ptB'][0], dictCone['ptB'][1], convFactor) # A,B
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path += " " + self.build_arc(zeroCenter[0], zeroCenter[1], 0.0, angle, dictCone.get('longRadius')*convFactor)
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path += " " + self.build_line(dictCone['ptC'][0], dictCone['ptC'][1],dictCone['ptD'][0], dictCone['ptD'][1], convFactor) # C,D
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path += self.build_arc(zeroCenter[0], zeroCenter[1], 0.0, angle, dictCone['shortRadius']*convFactor)
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line_attribs['d'] = path
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ell = etree.SubElement(grp, inkex.addNS('path','svg'), line_attribs )
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# Draw Dimensions Markup
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if self.options.verbose == True:
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grp_attribs = {inkex.addNS('label','inkscape'):'markup'}
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markup_group = etree.SubElement(grp, 'g', grp_attribs)
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self.beVerbose(dictCone, convFactor, markup_group)
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def build_arc(self, x, y, start_angle, end_angle, radius, reverse=True, swap=False):
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# Not using internal arc rep - instead construct path A in svg style directly
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# so we can append lines to make single path
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start = polar_to_cartesian(x, y, radius, end_angle)
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end = polar_to_cartesian(x, y, radius, start_angle)
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arc_flag = 0 if reverse else 1
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sweep = 0 if (end_angle-start_angle) <=180 else 1
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if swap: sweep = 1-sweep
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path = 'M %s,%s' % (start[0], start[1])
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path += " A %s,%s 0 %d %d %s %s" % (radius, radius, sweep, arc_flag, end[0], end[1])
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return path
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def build_line(self, x1, y1, x2, y2, unitFactor):
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path = 'M %s,%s L %s,%s' % (x1*unitFactor, y1*unitFactor, x2*unitFactor, y2*unitFactor)
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return path
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def beVerbose(self, dictCone, unitFactor, parent):
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""" Verbose output of calculated values.
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Can be used for debugging purposes or if calculated values needed.
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"""
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# unpack
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base_dia = dictCone['diaBase']
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cut_dia = dictCone['diaCut']
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cone_height = dictCone['heightCone']
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shortradius = dictCone['shortRadius']
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longradius = dictCone['longRadius']
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angle = dictCone['angle']
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chord_base = dictCone['chordBase']
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chord_cut = dictCone['chordCut']
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ptA = dictCone['ptA']
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ptB = dictCone['ptB']
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ptC = dictCone['ptC']
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ptD = dictCone['ptD']
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# styles for markup
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stroke_width = max(0.1, self.svg.unittouu(str(self.options.strokeWidth/2) + self.options.units))
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line_style = { 'stroke': self.color_marker_dim, 'stroke-width': str(stroke_width), 'fill':'none' }
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arrow_style = self.dimline_style
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font_height = min(32, max( 8, int(self.svg.unittouu(str(longradius/40) + self.options.units))))
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text_style = { 'font-size': str(font_height),
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'font-family': 'arial',
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'text-anchor': 'middle',
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'text-align': 'center',
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'fill': self.color_marker_dim }
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# verbose message for debug window
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msg = "Base diameter: " + str(base_dia) + "Cut diameter: " + str(cut_dia) + \
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"\nCone height: " + str(cone_height) + "\nShort radius: " + str(shortradius) + \
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"\nLong radius: " + str(longradius) + "\nAngle of circle sector: " + str(angle) + \
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" radians (= " + str(math.degrees(angle)) + " degrees)" + \
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"\nChord length of base arc: " + str(chord_base) + \
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"\nChord length of cut arc: " + str(chord_cut)
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#inkex.utils.debug( msg)
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# Mark center
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marker_length = max(5, longradius* unitFactor/100)
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line_attribs = {'style' : str(inkex.Style(line_style)),
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inkex.addNS('label','inkscape') : 'center',
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'd' : 'M -{0},-{0} L {0},{0}'.format(marker_length)}
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line = etree.SubElement(parent, inkex.addNS('path','svg'), line_attribs)
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line_attribs = {'style' : str(inkex.Style(line_style)),
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inkex.addNS('label','inkscape') : 'center',
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'd' : 'M -{0},{0} L {0},-{0}'.format(marker_length)}
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line = etree.SubElement(parent, inkex.addNS('path','svg'), line_attribs)
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# Draw tick marks
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line_attribs = {'style' : str(inkex.Style(line_style)), 'd' : 'M 0,-3 L 0,-30'}
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line = etree.SubElement(parent, inkex.addNS('path','svg'), line_attribs)
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if cut_dia != 0:
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line_attribs = {'style' : str(inkex.Style(line_style)), 'd' : 'M {0},-3 L {0},-30'.format(shortradius * unitFactor)}
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line = etree.SubElement(parent, inkex.addNS('path','svg'), line_attribs)
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line_attribs = {'style' : str(inkex.Style(line_style)), 'd' : 'M {0},-3 L {0},-30'.format(longradius * unitFactor)}
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line = etree.SubElement(parent, inkex.addNS('path','svg'), line_attribs)
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# span line
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arrow_style['stroke'] = self.color_marker_dim
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self.drawDimension((0,-10), (shortradius * unitFactor, -10), arrow_style, parent)
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self.drawDimension((shortradius * unitFactor,-10), (longradius * unitFactor, -10), arrow_style, parent)
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# labels for short, long radii
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if cut_dia >= 0.001:
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text_atts = {'style':str(inkex.Style(text_style)),
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'x': str(shortradius*unitFactor/2),
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'y': str(-15) }
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text = etree.SubElement(parent, 'text', text_atts)
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text.text = "%4.3f" %(shortradius)
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text_atts = {'style':str(inkex.Style(text_style)),
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'x': str((shortradius + (longradius-shortradius)/2)*unitFactor),
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'y': str(-15) }
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text = etree.SubElement(parent, 'text', text_atts)
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text.text = "%4.3f" %(longradius)
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# Draw angle
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lowside = math.degrees(angle) < 180
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value = math.degrees(angle) if lowside else 360-math.degrees(angle)
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# radial limit lines
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line_attribs = {'style' : str(inkex.Style(line_style)), 'd' : 'M 3,0 L %4.2f,0' % (ptA[0]*unitFactor*0.8)}
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line = etree.SubElement(parent, inkex.addNS('path','svg'), line_attribs)
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line_attribs = {'style' : str(inkex.Style(line_style)), 'd' : 'M %4.2f,%4.2f L %4.2f,%4.2f' % (ptD[0]*unitFactor*0.02, ptD[1]*unitFactor*0.02,ptD[0]*unitFactor*0.8, ptD[1]*unitFactor*0.8)}
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line = etree.SubElement(parent, inkex.addNS('path','svg'), line_attribs)
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# arc
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arc_rad = ptA[0]*unitFactor*0.50
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gap = self.svg.unittouu(str(font_height*2)+"pt")
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textpos = self.drawDimArc(0, 0, value, arc_rad, arrow_style, parent, gap, lowside)
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# angle label
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textpos[1] += font_height/4 if lowside else font_height/2
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text_atts = {'style':str(inkex.Style(text_style)),
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'x': str(textpos[0]),
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'y': str(textpos[1]) }
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text = etree.SubElement(parent, 'text', text_atts)
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text.text = "%4.2f deg" %(value)
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# chord lines
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dash_style = deepcopy(arrow_style)
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dash_style['stroke'] = self.color_marker_chords
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dash_style['stroke-dasharray'] = '4, 2, 1, 2'
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line = self.drawDimension((ptA[0]*unitFactor, ptA[1]*unitFactor), (ptD[0]*unitFactor, ptD[1]*unitFactor), dash_style, parent)
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line = self.drawDimension((ptB[0]*unitFactor, ptB[1]*unitFactor), (ptC[0]*unitFactor, ptC[1]*unitFactor), dash_style, parent)
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# chord labels
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centerx = ptB[0]*unitFactor + (ptC[0]-ptB[0])*unitFactor/2
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centery = ptB[1]*unitFactor + (ptC[1]-ptB[1])*unitFactor/2
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line_angle = calc_angle_between_points(ptC, ptB)
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ypos = centery+font_height+2 if line_angle<0 else centery-2
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text_style['fill'] = self.color_marker_chords
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text_atts = {'style':str(inkex.Style(text_style)),
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'transform': 'rotate(%f)' % (line_angle) }
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text = etree.SubElement(parent, 'text', text_atts)
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scale_matrix = [[1, 0.0, centerx], [0.0, 1, ypos]] # needs cos,sin corrections
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text.transform = Transform(scale_matrix) * text.transform
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text.text = "%4.2f" % (chord_base)
|
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if cut_dia >= 0.001:
|
|
centerx = ptA[0]*unitFactor + (ptD[0]-ptA[0])*unitFactor/2
|
|
centery = ptA[1]*unitFactor + (ptD[1]-ptA[1])*unitFactor/2
|
|
xpos = centerx - font_height*math.sin(math.radians(abs(line_angle)))
|
|
ypos = centery-2 if line_angle>0 else centery+font_height+2
|
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text = etree.SubElement(parent, 'text', text_atts)
|
|
scale_matrix = [[1, 0.0, centerx], [0.0, 1, ypos]]
|
|
text.transform = Transform(scale_matrix) * text.transform
|
|
text.text = "%4.2f" % (chord_cut)
|
|
# frustum lines
|
|
frustrum_repos = [[1, 0.0, 1], [0.0, 1, math.sqrt(pow(shortradius*unitFactor,2)-pow(cut_dia*unitFactor/2,2))]]
|
|
text_style['fill'] = self.color_marker_base
|
|
line_style['stroke'] = self.color_marker_base
|
|
arrow_style['stroke'] = self.color_marker_base
|
|
line_attribs = {'style': str(inkex.Style(line_style)),
|
|
'd': 'M %f,%f L %f,%f %f,%f %f,%f z' %(-cut_dia/2*unitFactor,0, cut_dia/2*unitFactor,0, base_dia/2*unitFactor,cone_height*unitFactor, -base_dia/2*unitFactor,cone_height*unitFactor)}
|
|
line = etree.SubElement(parent, inkex.addNS('path','svg'), line_attribs)
|
|
line.transform = Transform(frustrum_repos) * line.transform
|
|
# ticks
|
|
line_attribs = {'style': str(inkex.Style(line_style)),
|
|
'd': 'M %f,%f L %f,%f' %(-(5+cut_dia/2*unitFactor),0, -(5+base_dia/2*unitFactor),0 )}
|
|
line = etree.SubElement(parent, inkex.addNS('path','svg'), line_attribs)
|
|
line.transform = Transform(frustrum_repos) * line.transform
|
|
#
|
|
line = self.drawDimension((-base_dia/2*unitFactor,0), (-base_dia/2*unitFactor,cone_height*unitFactor), arrow_style, parent)
|
|
line.transform = Transform(frustrum_repos) * line.transform
|
|
# frustum text
|
|
text_atts = {'style':str(inkex.Style(text_style)),
|
|
'x': str(-(18+base_dia/2*unitFactor)),
|
|
'y': str(cone_height*unitFactor/2) }
|
|
text = etree.SubElement(parent, 'text', text_atts)
|
|
text.text = "%4.3f" %(cone_height)
|
|
text.transform = Transform(frustrum_repos) * text.transform
|
|
if cut_dia >= 0.001:
|
|
text_atts = {'style':str(inkex.Style(text_style)),
|
|
'x': '0',
|
|
'y': str(font_height) }
|
|
text = etree.SubElement(parent, 'text', text_atts)
|
|
text.text = "%4.3f" %(cut_dia)
|
|
text.transform = Transform(frustrum_repos) * text.transform
|
|
text_atts = {'style':str(inkex.Style(text_style)),
|
|
'x': '0',
|
|
'y': str(cone_height*unitFactor+font_height) }
|
|
text = etree.SubElement(parent, 'text', text_atts)
|
|
text.text = "%4.3f" %(base_dia)
|
|
text.transform = Transform(frustrum_repos) * text.transform
|
|
|
|
if __name__ == '__main__':
|
|
SheetMetalConus().run() |