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Draft: move functions to draftgeoutils.circle_inversion
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vocx-fc authored and yorikvanhavre committed Jun 5, 2020
1 parent 0ba43a9 commit 3476c73
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Showing 3 changed files with 123 additions and 76 deletions.
1 change: 1 addition & 0 deletions src/Mod/Draft/CMakeLists.txt
Expand Up @@ -44,6 +44,7 @@ SET (Draft_geoutils
draftgeoutils/cuboids.py
draftgeoutils/circles.py
draftgeoutils/circles_apollonius.py
draftgeoutils/circle_inversion.py
)

SET(Draft_tests
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79 changes: 3 additions & 76 deletions src/Mod/Draft/DraftGeomUtils.py
Expand Up @@ -409,85 +409,12 @@ def circleFrom3tan(tan1, tan2, tan3):
from draftgeoutils.circles import findRadicalCenter


def pointInversion(circle, point):
"""Circle inversion of a point.
from draftgeoutils.circle_inversion import pointInversion

pointInversion(Circle, Vector)

Will calculate the inversed point an return it.
If the given point is equal to the center of the circle "None" will be returned.
from draftgeoutils.circle_inversion import polarInversion

See also:
http://en.wikipedia.org/wiki/Inversive_geometry
"""
if (geomType(circle) == "Circle") and isinstance(point, FreeCAD.Vector):
cen = circle.Curve.Center
rad = circle.Curve.Radius

if DraftVecUtils.equals(cen, point):
return None

# Inverse the distance of the point
# dist(cen -> P) = r^2 / dist(cen -> invP)

dist = DraftVecUtils.dist(point, cen)
invDist = rad**2 / d

invPoint = Vector(0, 0, point.z)
invPoint.x = cen.x + (point.x - cen.x) * invDist / dist;
invPoint.y = cen.y + (point.y - cen.y) * invDist / dist;

return invPoint

else:
FreeCAD.Console.PrintMessage("debug: pointInversion bad parameters!\n")
return None


def polarInversion(circle, edge):
"""Return the inversion pole of a line.
polarInversion(circle, edge):
edge ... The polar.
i.e. The nearest point on the line is inversed.
http://mathworld.wolfram.com/InversionPole.html
"""

if (geomType(circle) == "Circle") and (geomType(edge) == "Line"):
nearest = circle.Curve.Center.add(findDistance(circle.Curve.Center, edge, False))
if nearest:
inversionPole = pointInversion(circle, nearest)
if inversionPole:
return inversionPole
else:
FreeCAD.Console.PrintMessage("debug: circleInversionPole bad parameters!\n")
return None


def circleInversion(circle, circle2):
"""
pointInversion(Circle, Circle)
Circle inversion of a circle.
"""
if (geomType(circle) == "Circle") and (geomType(circle2) == "Circle"):
cen1 = circle.Curve.Center
rad1 = circle.Curve.Radius

if DraftVecUtils.equals(cen1, point):
return None

invCen2 = Inversion(circle, circle2.Curve.Center)

pointOnCircle2 = Vector.add(circle2.Curve.Center, Vector(circle2.Curve.Radius, 0, 0))
invPointOnCircle2 = Inversion(circle, pointOnCircle2)

return Part.Circle(invCen2, norm, DraftVecUtils.dist(invCen2, invPointOnCircle2))

else:
FreeCAD.Console.PrintMessage("debug: circleInversion bad parameters!\n")
return None
from draftgeoutils.circle_inversion import circleInversion

## @}
119 changes: 119 additions & 0 deletions src/Mod/Draft/draftgeoutils/circle_inversion.py
@@ -0,0 +1,119 @@
# ***************************************************************************
# * Copyright (c) 2009, 2010 Yorik van Havre <yorik@uncreated.net> *
# * Copyright (c) 2009, 2010 Ken Cline <cline@frii.com> *
# * *
# * This file is part of the FreeCAD CAx development system. *
# * *
# * This program is free software; you can redistribute it and/or modify *
# * it under the terms of the GNU Lesser General Public License (LGPL) *
# * as published by the Free Software Foundation; either version 2 of *
# * the License, or (at your option) any later version. *
# * for detail see the LICENCE text file. *
# * *
# * FreeCAD is distributed in the hope that it will be useful, *
# * but WITHOUT ANY WARRANTY; without even the implied warranty of *
# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
# * GNU Library General Public License for more details. *
# * *
# * You should have received a copy of the GNU Library General Public *
# * License along with FreeCAD; if not, write to the Free Software *
# * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 *
# * USA *
# * *
# ***************************************************************************
"""Provides various functions for inversive operations using a circle.
http://en.wikipedia.org/wiki/Inversive_geometry
"""
## @package circle_inversion
# \ingroup DRAFTGEOUTILS
# \brief Provides various functions for inversive geometry operations.

import lazy_loader.lazy_loader as lz

import FreeCAD as App
import DraftVecUtils

from draftgeoutils.general import NORM, geomType
from draftgeoutils.geometry import findDistance

# Delay import of module until first use because it is heavy
Part = lz.LazyLoader("Part", globals(), "Part")


def pointInversion(circle, point):
"""Return the circle inversion of a point.
It will return `None` if the given point is equal to the center
of the circle.
"""
if geomType(circle) != "Circle" or isinstance(point, App.Vector):
print("debug: pointInversion bad parameters!")
return None

cen = circle.Curve.Center
rad = circle.Curve.Radius

if DraftVecUtils.equals(cen, point):
return None

# Inverse the distance of the point
# dist(cen -> P) = r^2 / dist(cen -> invP)

dist = DraftVecUtils.dist(point, cen)
invDist = rad**2 / dist

invPoint = App.Vector(0, 0, point.z)
invPoint.x = cen.x + (point.x - cen.x) * invDist / dist
invPoint.y = cen.y + (point.y - cen.y) * invDist / dist

return invPoint


def polarInversion(circle, edge):
"""Return the inversion pole of a line. The edge is the polar.
The nearest point on the line is inversed.
http://mathworld.wolfram.com/InversionPole.html
"""
if geomType(circle) != "Circle" or geomType(edge) != "Line":
print("debug: circleInversionPole bad parameters! Must be a circle.")
return None

nearest = circle.Curve.Center.add(findDistance(circle.Curve.Center,
edge,
False))
if nearest:
inversionPole = pointInversion(circle, nearest)
if inversionPole:
return inversionPole

return None


def circleInversion(circle, circle2):
"""Circle inversion of a circle, inverting the center point.
Returns the new circle created from the inverted center of circle2.
"""
if geomType(circle) != "Circle" or geomType(circle2) != "Circle":
print("debug: circleInversion bad parameters! Must be circles.")
return None

cen1 = circle.Curve.Center

cen2 = circle2.Curve.Center
rad2 = circle2.Curve.Radius

if DraftVecUtils.equals(cen1, cen2):
return None

invCen2 = pointInversion(circle, cen2)

pointOnCircle2 = App.Vector.add(cen2, App.Vector(rad2, 0, 0))
invPointOnCircle2 = pointInversion(circle, pointOnCircle2)

return Part.Circle(invCen2,
NORM,
DraftVecUtils.dist(invCen2, invPointOnCircle2))

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