def bulge2arc(self, Ps, Pe, bulge):
"""
bulge2arc()
"""
c = (1 / bulge - bulge) / 2
#Berechnung des Mittelpunkts (Formel von Mickes!)
#Calculation of the center (Micke's formula)
O = Point(x=(Ps.x + Pe.x - (Pe.y - Ps.y) * c) / 2, \
y=(Ps.y + Pe.y + (Pe.x - Ps.x) * c) / 2)
#Radius = Distance between the centre and Ps
r = O.distance(Ps)
#Kontrolle ob beide gleich sind (passt ...)
#Check if they are equal (fits ...)
#r=O.distance(Pe)
#Unterscheidung f�r den �ffnungswinkel.
#Distinction for the opening angle. ???
if bulge > 0:
return ArcGeo(Ps=Ps, Pe=Pe, O=O, r=r)
else:
arc = ArcGeo(Ps=Pe, Pe=Ps, O=O, r=r)
arc.reverse()
return arc
def fit_triac_by_inc_biarc(self, arc, eps):
"""
fit_triac_by_inc_biarc()
"""
#Errechnen von tb
V0 = arc[0].Ps.unit_vector(arc[0].O)
V2 = arc[2].Pe.unit_vector(arc[2].O)
#Errechnen der Hilfgr�ssen
t0 = (arc[2].r - arc[0].r)
D = (arc[2].O - arc[0].O)
X0 = (t0 * t0) - (D * D)
X1 = 2 * (D * V0 - t0)
Y0 = 2 * (t0 - D * V2)
Y1 = 2 * (V0 * V2 - 1)
#Errechnen von tb
tb = (pow((arc[1].r - arc[0].r + eps), 2) - ((arc[1].O - arc[0].O) * (arc[1].O - arc[0].O))) / \
(2 * (arc[1].r - arc[0].r + eps + (arc[1].O - arc[0].O) * V0))
#Errechnen von tc
tc = (pow(t0, 2) - (D * D)) / (2 * (t0 - D * V0))
#Auswahl von t
t = min([tb, tc])
#Errechnen von u
u = (X0 + X1 * t) / (Y0 + Y1 * t)
#Errechnen der neuen Arcs
Oa = arc[0].O + t * V0
ra = arc[0].r + t
Ob = arc[2].O - u * V2
rb = arc[2].r - u
Vn = Ob.unit_vector(Oa)
Pn = Oa + ra * Vn
Arc0 = ArcGeo(Ps=arc[0].Ps, Pe=Pn, O=Oa, r=ra, direction=arc[0].ext)
Arc1 = ArcGeo(Ps=Pn, Pe=arc[2].Pe, O=Ob, r=rb, direction=arc[2].ext)
## print('\nAlte')
## print arc[0]
## print arc[1]
## print arc[2]
## print("tb: %0.3f; tc: %0.3f; t: %0.3f; u: %0.3f" %(tb,tc,t,u))
## print 'Neue'
## print Arc0
## print Arc1
return Arc0, Arc1
def fit_triac_by_dec_biarc(self, arc, eps):
"""
fit_triac_by_dec_biarc()
"""
V0 = arc[2].Pe.unit_vector(arc[2].O)
V2 = arc[0].Ps.unit_vector(arc[0].O)
#Errechnen der Hilfgr�ssen
t0 = (arc[0].r - arc[2].r)
D = (arc[0].O - arc[2].O)
X0 = (t0 * t0) - (D * D)
X1 = 2 * (D * V0 - t0)
Y0 = 2 * (t0 - D * V2)
Y1 = 2 * (V0 * V2 - 1)
#Errechnen von tb
tb = (pow((arc[1].r - arc[2].r + eps), 2) - ((arc[1].O - arc[2].O) * (arc[1].O - arc[2].O))) / \
(2 * (arc[1].r - arc[2].r + eps + (arc[1].O - arc[2].O) * V0))
#Errechnen von tc
tc = (pow(t0, 2) - (D * D)) / (2 * (t0 - D * V0))
#Auswahl von t
t = min([tb, tc])
#Errechnen von u
u = (X0 + X1 * t) / (Y0 + Y1 * t)
#Errechnen der neuen Arcs
Oa = arc[0].O - u * V2
ra = arc[0].r - u
Ob = arc[2].O + t * V0
rb = arc[2].r + t
Vn = Oa.unit_vector(Ob)
Pn = Ob + rb * Vn
Arc0 = ArcGeo(Ps=arc[0].Ps, Pe=Pn, O=Oa, r=ra, \
s_ang=Oa.norm_angle(arc[0].Ps), e_ang=Oa.norm_angle(Pn),
direction=arc[0].ext)
Arc1 = ArcGeo(Ps=Pn, Pe=arc[2].Pe, O=Ob, r=rb, \
s_ang=Ob.norm_angle(Pn), e_ang=Ob.norm_angle(arc[2].Pe),
direction=arc[2].ext)
return Arc0, Arc1
def breakArcGeo(self, arcGeo, breakLayers):
"""
Try to break passed arcGeo with any of the shapes on a break layers.
Will break arcGeos recursively.
@return: The list of geometries after breaking (arcGeo itself if no breaking happened)
"""
newGeos = []
for breakLayer in breakLayers:
for breakShape in breakLayer.shapes:
intersections = self.intersectArcGeometry(arcGeo, breakShape)
if len(intersections) == 2:
(near,
far) = self.classifyIntersections(arcGeo, intersections)
logger.debug(
"Arc %s broken from (%f, %f) to (%f, %f)" %
(arcGeo.toShortString(), near.x, near.y, far.x, far.y))
newGeos.extend(
self.breakArcGeo(
ArcGeo(Ps=arcGeo.Ps,
Pe=near,
O=arcGeo.O,
r=arcGeo.r,
s_ang=arcGeo.s_ang,
direction=arcGeo.ext), breakLayers))
newGeos.append(
BreakGeo(near, far, breakLayer.axis3_mill_depth,
breakLayer.f_g1_plane, breakLayer.f_g1_depth))
newGeos.extend(
self.breakArcGeo(
ArcGeo(Ps=far,
Pe=arcGeo.Pe,
O=arcGeo.O,
r=arcGeo.r,
e_ang=arcGeo.e_ang,
direction=arcGeo.ext), breakLayers))
return newGeos
return [arcGeo]
def bulge2arc(self, Pa, Pe, bulge):
"""
bulge2arc()
"""
c = (1 / bulge - bulge) / 2
#Calculate the centre point (Micke's formula!)
O = Point(x=(Pa.x + Pe.x - (Pe.y - Pa.y) * c) / 2, \
y=(Pa.y + Pe.y + (Pe.x - Pa.x) * c) / 2)
#Radius = Distance between the centre and Pa
r = O.distance(Pa)
#Check if they are equal (fits ...)
#r=O.distance(Pe)
#Unterscheidung für den Öffnungswinkel.
#Distinction for the opening angle. ???
if bulge > 0:
return ArcGeo(Pa=Pa, Pe=Pe, O=O, r=r)
else:
arc = ArcGeo(Pa=Pe, Pe=Pa, O=O, r=r)
arc.reverse()
return arc
def bulge2arc(self, Ps, Pe, bulge):
"""
bulge2arc()
"""
c = (1 / bulge - bulge) / 2
#Calculate the centre point (Micke's formula!)
O = Point(x=(Ps.x + Pe.x - (Pe.y - Ps.y) * c) / 2, \
y=(Ps.y + Pe.y + (Pe.x - Ps.x) * c) / 2)
#Radius = Distance between the centre and Ps
r = O.distance(Ps)
#Check if they are equal (fits ...)
#r=O.distance(Pe)
#Unterscheidung f�r den �ffnungswinkel.
#Distinction for the opening angle. ???
if bulge > 0:
return ArcGeo(Ps=Ps, Pe=Pe, O=O, r=r)
else:
arc = ArcGeo(Ps=Pe, Pe=Ps, O=O, r=r)
arc.reverse()
return arc
def make_swivelknife_move(self):
"""
Set these variables for your tool and material
@param offset: knife tip distance from tool centerline. The radius of the
tool is used for this.
"""
offset = self.shape.LayerContent.tool_diameter / 2
dragAngle = self.shape.dragAngle
startnorm = offset * Point(1, 0, 0)
prvend, prvnorm = Point(0, 0), Point(0, 0)
first = 1
#start = self.startp
#Use The same parent as for the shape
self.parent = self.shape.parent
for geo in self.shape.geos:
if geo.type == 'LineGeo':
geo_b = deepcopy(geo)
if first:
first = 0
prvend = geo_b.Pa + startnorm
prvnorm = startnorm
norm = offset * geo_b.Pa.unit_vector(geo_b.Pe)
geo_b.Pa += norm
geo_b.Pe += norm
if not prvnorm == norm:
swivel = ArcGeo(Pa=prvend,
Pe=geo_b.Pa,
r=offset,
direction=prvnorm.cross_product(norm).z)
swivel.drag = dragAngle < abs(swivel.ext)
self.geos.append(swivel)
self.geos.append(geo_b)
prvend = geo_b.Pe
prvnorm = norm
elif geo.type == 'ArcGeo':
geo_b = deepcopy(geo)
if first:
first = 0
prvend = geo_b.Pa + startnorm
prvnorm = startnorm
if geo_b.ext > 0.0:
norma = offset * Point(cos(geo_b.s_ang + pi / 2),
sin(geo_b.s_ang + pi / 2))
norme = Point(cos(geo_b.e_ang + pi / 2),
sin(geo_b.e_ang + pi / 2))
else:
norma = offset * Point(cos(geo_b.s_ang - pi / 2),
sin(geo_b.s_ang - pi / 2))
norme = Point(cos(geo_b.e_ang - pi / 2),
sin(geo_b.e_ang - pi / 2))
geo_b.Pa += norma
if norme.x > 0:
geo_b.Pe = Point(
geo_b.Pe.x + offset / (sqrt(1 +
(norme.y / norme.x)**2)),
geo_b.Pe.y + (offset * norme.y / norme.x) /
(sqrt(1 + (norme.y / norme.x)**2)))
elif norme.x == 0:
geo_b.Pe = Point(geo_b.Pe.x, geo_b.Pe.y)
else:
geo_b.Pe = Point(
geo_b.Pe.x - offset / (sqrt(1 +
(norme.y / norme.x)**2)),
geo_b.Pe.y - (offset * norme.y / norme.x) /
(sqrt(1 + (norme.y / norme.x)**2)))
if not prvnorm == norma:
swivel = ArcGeo(Pa=prvend,
Pe=geo_b.Pa,
r=offset,
direction=prvnorm.cross_product(norma).z)
swivel.drag = dragAngle < abs(swivel.ext)
self.geos.append(swivel)
prvend = geo_b.Pe
prvnorm = offset * norme
if -pi < geo_b.ext < pi:
self.geos.append(
ArcGeo(Pa=geo_b.Pa,
Pe=geo_b.Pe,
r=sqrt(geo_b.r**2 + offset**2),
direction=geo_b.ext))
else:
geo_b = ArcGeo(Pa=geo_b.Pa,
Pe=geo_b.Pe,
r=sqrt(geo_b.r**2 + offset**2),
direction=-geo_b.ext)
geo_b.ext = -geo_b.ext
self.geos.append(geo_b)
#else:
# self.geos.append(copy(geo))
if not prvnorm == startnorm:
self.geos.append(
ArcGeo(Pa=prvend,
Pe=prvend - prvnorm + startnorm,
r=offset,
direction=prvnorm.cross_product(startnorm).z))
self.geos.insert(0, self.geos[0].Pa)
def make_start_moves(self):
"""
This function called to create the start move. It will
be generated based on the given values for start and angle.
"""
del (self.geos[:])
if g.config.machine_type == 'drag_knife':
self.make_swivelknife_move()
return
#BaseEntitie created to add the StartMoves etc. This Entitie must not
#be offset or rotated etc.
BaseEntitie = EntitieContentClass(Nr=-1,
Name='BaseEntitie',
parent=None,
children=[],
p0=Point(x=0.0, y=0.0),
pb=Point(x=0.0, y=0.0),
sca=[1, 1, 1],
rot=0.0)
self.parent = BaseEntitie
#Get the start rad. and the length of the line segment at begin.
start_rad = self.shape.LayerContent.start_radius
start_ver = start_rad
#Get tool radius based on tool diameter.
tool_rad = self.shape.LayerContent.tool_diameter / 2
#Calculate the starting point with and without compensation.
start = self.startp
angle = self.angle
if self.shape.cut_cor == 40:
self.geos.append(start)
#Cutting Compensation Left
elif self.shape.cut_cor == 41:
#Center of the Starting Radius.
Oein = start.get_arc_point(angle + pi / 2, start_rad + tool_rad)
#Start Point of the Radius
Pa_ein = Oein.get_arc_point(angle + pi, start_rad + tool_rad)
#Start Point of the straight line segment at begin.
Pg_ein = Pa_ein.get_arc_point(angle + pi / 2, start_ver)
#Get the dive point for the starting contour and append it.
start_ein = Pg_ein.get_arc_point(angle, tool_rad)
self.geos.append(start_ein)
#generate the Start Line and append it including the compensation.
start_line = LineGeo(Pg_ein, Pa_ein)
self.geos.append(start_line)
#generate the start rad. and append it.
start_rad = ArcGeo(Pa=Pa_ein,
Pe=start,
O=Oein,
r=start_rad + tool_rad,
direction=1)
self.geos.append(start_rad)
#Cutting Compensation Right
elif self.shape.cut_cor == 42:
#Center of the Starting Radius.
Oein = start.get_arc_point(angle - pi / 2, start_rad + tool_rad)
#Start Point of the Radius
Pa_ein = Oein.get_arc_point(angle + pi, start_rad + tool_rad)
#Start Point of the straight line segment at begin.
Pg_ein = Pa_ein.get_arc_point(angle - pi / 2, start_ver)
#Get the dive point for the starting contour and append it.
start_ein = Pg_ein.get_arc_point(angle, tool_rad)
self.geos.append(start_ein)
#generate the Start Line and append it including the compensation.
start_line = LineGeo(Pg_ein, Pa_ein)
self.geos.append(start_line)
#generate the start rad. and append it.
start_rad = ArcGeo(Pa=Pa_ein,
Pe=start,
O=Oein,
r=start_rad + tool_rad,
direction=0)
self.geos.append(start_rad)
def Read(self, caller):
"""
Read()
"""
#Assign short name
lp = caller.line_pairs
e = lp.index_code(0, caller.start + 1)
#Assign layer
s = lp.index_code(8, caller.start + 1)
self.Layer_Nr = caller.Get_Layer_Nr(lp.line_pair[s].value)
#X Value
s = lp.index_code(10, s + 1)
x0 = float(lp.line_pair[s].value)
#Y Value
s = lp.index_code(20, s + 1)
y0 = float(lp.line_pair[s].value)
#Radius
s = lp.index_code(40, s + 1)
r = float(lp.line_pair[s].value)
#Searching for an extrusion direction
s_nxt_xt = lp.index_code(230, s + 1, e)
#If there is a extrusion direction given flip around x-Axis
if s_nxt_xt != None:
extrusion_dir = float(lp.line_pair[s_nxt_xt].value)
logger.debug(
self.tr('Found extrusion direction: %s') % extrusion_dir)
if extrusion_dir == -1:
x0 = -x0
O = Point(x0, y0)
#Calculate the start and end values of the circle without clipping
s_ang = -3 * pi / 4
m_ang = s_ang - pi
e_ang = -3 * pi / 4
#Calculate the start and end values of the arcs
Pa = Point(x=cos(s_ang) * r, y=sin(s_ang) * r) + O
Pm = Point(x=cos(m_ang) * r, y=sin(m_ang) * r) + O
Pe = Point(x=cos(e_ang) * r, y=sin(e_ang) * r) + O
#Annexes to ArcGeo class for geometry
self.geo.append(
ArcGeo(Pa=Pa,
Pe=Pm,
O=O,
r=r,
s_ang=s_ang,
e_ang=m_ang,
direction=-1))
self.geo.append(
ArcGeo(Pa=Pm,
Pe=Pe,
O=O,
r=r,
s_ang=m_ang,
e_ang=e_ang,
direction=-1))
#Length corresponds to the length (circumference?) of the circle
self.length = self.geo[-1].length + self.geo[-2].length
#New starting value for the next geometry
caller.start = s
def __init__(self, Ps=Point(), tan_a=0.0,
Pb=Point, tan_b=0.0, min_r=1e-6):
"""
Std. method to initialise the class.
@param Ps: Start Point for the Biarc
@param tan_a: Tangent of the Start Point
@param Pb: End Point of the Biarc
@param tan_b: Tangent of the End Point
@param min_r: The minimum radius of a arc section.
"""
min_len = 1e-12 #Min Abstand f�r doppelten Punkt / Minimum clearance for double point
min_alpha = 1e-4 #Winkel ab welchem Gerade angenommen wird inr rad / Angle for which it is assumed straight inr rad
max_r = 5e3 #Max Radius ab welchem Gerade angenommen wird (5m) / Max radius is assumed from which line (5m)
min_r = min_r #Min Radius ab welchem nichts gemacht wird / Min radius beyond which nothing is done
self.Ps = Ps
self.tan_a = tan_a
self.Pb = Pb
self.tan_b = tan_b
self.l = 0.0
self.shape = None
self.geos = []
self.k = 0.0
#Errechnen der Winkel, L�nge und Shape
#Calculate the angle, length and shape
norm_angle, self.l = self.calc_normal(self.Ps, self.Pb)
alpha, beta, self.teta, self.shape = self.calc_diff_angles(norm_angle, \
self.tan_a, \
self.tan_b, \
min_alpha)
if(self.l < min_len):
self.shape = "Zero"
elif(self.shape == "LineGeo"):
#Erstellen der Geometrie
#Create the geometry
self.shape = "LineGeo"
self.geos.append(LineGeo(self.Ps, self.Pb))
else:
#Berechnen der Radien, Mittelpunkte, Zwichenpunkt
#Calculate the radii, midpoints Zwichenpunkt
r1, r2 = self.calc_r1_r2(self.l, alpha, beta, self.teta)
if (abs(r1) > max_r)or(abs(r2) > max_r):
#Erstellen der Geometrie
#Create the geometry
self.shape = "LineGeo"
self.geos.append(LineGeo(self.Ps, self.Pb))
return
elif (abs(r1) < min_r)or(abs(r2) < min_r):
self.shape = "Zero"
return
O1, O2, k = self.calc_O1_O2_k(r1, r2, self.tan_a, self.teta)
#Berechnen der Start und End- Angles f�r das drucken
#Calculate the start and end angles for the print
s_ang1, e_ang1 = self.calc_s_e_ang(self.Ps, O1, k)
s_ang2, e_ang2 = self.calc_s_e_ang(k, O2, self.Pb)
#Berechnen der Richtung und der Extend
#Calculate the direction and extent
dir_ang1 = (tan_a - s_ang1) % (-2 * pi)
dir_ang1 -= ceil(dir_ang1 / (pi)) * (2 * pi)
dir_ang2 = (tan_b - e_ang2) % (-2 * pi)
dir_ang2 -= ceil(dir_ang2 / (pi)) * (2 * pi)
#Erstellen der Geometrien
#Create the geometries
self.geos.append(ArcGeo(Ps=self.Ps, Pe=k, O=O1, r=r1, \
s_ang=s_ang1, e_ang=e_ang1, direction=dir_ang1))
self.geos.append(ArcGeo(Ps=k, Pe=self.Pb, O=O2, r=r2, \
s_ang=s_ang2, e_ang=e_ang2, direction=dir_ang2))
def Read(self, caller):
"""
Read()
"""
#Assign short name
lp = caller.line_pairs
e = lp.index_code(0, caller.start + 1)
#Assign layer
s = lp.index_code(8, caller.start + 1)
self.Layer_Nr = caller.Get_Layer_Nr(lp.line_pair[s].value)
#X Value
s = lp.index_code(10, s + 1)
x0 = float(lp.line_pair[s].value)
#Y Value
s = lp.index_code(20, s + 1)
y0 = float(lp.line_pair[s].value)
O = Point(x0, y0)
#Radius
s = lp.index_code(40, s + 1)
r = float(lp.line_pair[s].value)
#Start angle
s = lp.index_code(50, s + 1)
s_ang = radians(float(lp.line_pair[s].value))
#End angle
s = lp.index_code(51, s + 1)
e_ang = radians(float(lp.line_pair[s].value))
#Searching for an extrusion direction
s_nxt_xt = lp.index_code(230, s + 1, e)
#If there is a extrusion direction given flip around x-Axis
if s_nxt_xt != None:
extrusion_dir = float(lp.line_pair[s_nxt_xt].value)
logger.debug(
self.tr('Found extrusion direction: %s') % extrusion_dir)
if extrusion_dir == -1:
x0 = -x0
s_ang = s_ang + pi
e_ang = e_ang + pi
#Calculate the start and end points of the arcs
Pa = Point(x=cos(s_ang) * r, y=sin(s_ang) * r) + O
Pe = Point(x=cos(e_ang) * r, y=sin(e_ang) * r) + O
#Anhängen der ArcGeo Klasse für die Geometrie
#Annexes to ArcGeo class for geometry
self.geo.append(
ArcGeo(Pa=Pa,
Pe=Pe,
O=O,
r=r,
s_ang=s_ang,
e_ang=e_ang,
direction=1))
#Länge entspricht der Länge des Kreises
#Length is the length (circumference?) of the circle
self.length = self.geo[-1].length
# logger.debug(self.geo[-1])
#Neuen Startwerd für die nächste Geometrie zurückgeben
#New starting value for the next geometry
caller.start = s
def make_swivelknife_move(self):
"""
Set these variables for your tool and material
@param offset: knife tip distance from tool centerline. The radius of the
tool is used for this.
"""
offset = self.shape.LayerContent.tool_diameter/2
dragAngle = self.shape.dragAngle
startnorm = offset*Point(1, 0, 0) # TODO make knife direction a config setting
prvend, prvnorm = Point(), Point()
first = 1
#Use The same parent as for the shape
self.parent = self.shape.parent
for geo in self.shape.geos:
if geo.type == 'LineGeo':
geo_b = deepcopy(geo)
if first:
first = 0
prvend = geo_b.Ps + startnorm
prvnorm = startnorm
if geo_b.Ps != geo_b.Pe: # TODO this "fix" should be done during import
norm = offset * geo_b.Ps.unit_vector(geo_b.Pe)
geo_b.Ps += norm
geo_b.Pe += norm
if not prvnorm == norm:
swivel = ArcGeo(Ps=prvend, Pe=geo_b.Ps, r=offset, direction=prvnorm.cross_product(norm).z)
swivel.drag = dragAngle < abs(swivel.ext)
self.geos.append(swivel)
self.geos.append(geo_b)
prvend = geo_b.Pe
prvnorm = norm
elif geo.type == 'ArcGeo':
geo_b = deepcopy(geo)
if first:
first = 0
prvend = geo_b.Ps + startnorm
prvnorm = startnorm
if geo_b.ext > 0.0:
norma = offset*Point(cos(geo_b.s_ang+pi/2), sin(geo_b.s_ang+pi/2))
norme = Point(cos(geo_b.e_ang+pi/2), sin(geo_b.e_ang+pi/2))
else:
norma = offset*Point(cos(geo_b.s_ang-pi/2), sin(geo_b.s_ang-pi/2))
norme = Point(cos(geo_b.e_ang-pi/2), sin(geo_b.e_ang-pi/2))
geo_b.Ps += norma
if norme.x > 0:
geo_b.Pe = Point(geo_b.Pe.x+offset/(sqrt(1+(norme.y/norme.x)**2)),
geo_b.Pe.y+(offset*norme.y/norme.x)/(sqrt(1+(norme.y/norme.x)**2)))
elif norme.x == 0:
geo_b.Pe = Point(geo_b.Pe.x,
geo_b.Pe.y)
else:
geo_b.Pe = Point(geo_b.Pe.x-offset/(sqrt(1+(norme.y/norme.x)**2)),
geo_b.Pe.y-(offset*norme.y/norme.x)/(sqrt(1+(norme.y/norme.x)**2)))
if prvnorm != norma:
swivel = ArcGeo(Ps=prvend, Pe=geo_b.Ps, r=offset, direction=prvnorm.cross_product(norma).z)
swivel.drag = dragAngle < abs(swivel.ext)
self.geos.append(swivel)
prvend = geo_b.Pe
prvnorm = offset*norme
if -pi < geo_b.ext < pi:
self.geos.append(ArcGeo(Ps=geo_b.Ps, Pe=geo_b.Pe, r=sqrt(geo_b.r**2+offset**2), direction=geo_b.ext))
else:
geo_b = ArcGeo(Ps=geo_b.Ps, Pe=geo_b.Pe, r=sqrt(geo_b.r**2+offset**2), direction=-geo_b.ext)
geo_b.ext = -geo_b.ext
self.geos.append(geo_b)
# TODO support different geos, or disable them in the GUI
# else:
# self.geos.append(copy(geo))
if not prvnorm == startnorm:
self.geos.append(ArcGeo(Ps=prvend, Pe=prvend-prvnorm+startnorm, r=offset, direction=prvnorm.cross_product(startnorm).z))
self.geos.insert(0, self.geos[0].Ps)