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machinery
pyMKcam
Commits
73cb1bb0
Commit
73cb1bb0
authored
Mar 24, 2012
by
Whitham D. Reeve II
Browse files
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Plain Diff
Removed old commented out code and converted PolygonExtractor.py to new Point tuple style.
parent
d45b6dcb
Changes
10
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Showing
10 changed files
with
90 additions
and
270 deletions
+90
-270
Letters.py
pycam/Geometry/Letters.py
+0
-4
Line.py
pycam/Geometry/Line.py
+0
-19
Model.py
pycam/Geometry/Model.py
+0
-9
Plane.py
pycam/Geometry/Plane.py
+0
-5
PointKdtree.py
pycam/Geometry/PointKdtree.py
+0
-1
Polygon.py
pycam/Geometry/Polygon.py
+0
-37
PolygonExtractor.py
pycam/Geometry/PolygonExtractor.py
+85
-85
Triangle.py
pycam/Geometry/Triangle.py
+5
-31
__init__.py
pycam/Geometry/__init__.py
+0
-21
intersection.py
pycam/Geometry/intersection.py
+0
-58
No files found.
pycam/Geometry/Letters.py
View file @
73cb1bb0
...
...
@@ -119,7 +119,6 @@ class Charset(object):
for
character
in
line
:
if
character
==
" "
:
base
=
padd
(
base
,
(
word_spacing
,
0
,
0
))
#base = base.add(Point(word_spacing, 0, 0))
elif
character
in
self
.
letters
.
keys
():
charset_letter
=
self
.
letters
[
character
]
new_model
=
ContourModel
()
...
...
@@ -133,14 +132,11 @@ class Charset(object):
line_height
=
max
(
line_height
,
charset_letter
.
maxy
())
# shift the base position
base
=
padd
(
base
,
(
charset_letter
.
maxx
()
+
letter_spacing
,
0
,
0
))
#base = base.add((charset_letter.maxx() + letter_spacing, 0, 0))
else
:
# unknown character - add a small whitespace
base
=
padd
(
base
,
(
letter_spacing
,
0
,
0
))
#base = base.add(Point(letter_spacing, 0, 0))
# go to the next line
base
=
(
origin
[
0
],
base
[
1
]
-
line_height
*
line_factor
,
origin
[
2
])
#base = Point(origin.x, base.y - line_height * line_factor, origin.z)
if
not
current_line
.
maxx
is
None
:
if
align
==
TEXT_ALIGN_CENTER
:
current_line
.
shift
(
-
current_line
.
maxx
/
2
,
0
,
0
)
...
...
pycam/Geometry/Line.py
View file @
73cb1bb0
...
...
@@ -54,18 +54,15 @@ class Line(IDGenerator, TransformableContainer):
def
vector
(
self
):
if
self
.
_vector
is
None
:
self
.
_vector
=
psub
(
self
.
p2
,
self
.
p1
)
#self._vector = self.p2.sub(self.p1)
return
self
.
_vector
@
property
def
dir
(
self
):
return
pnormalized
(
self
.
vector
)
#return self.vector.normalized()
@
property
def
len
(
self
):
return
pnorm
(
self
.
vector
)
#return self.vector.norm
@
property
def
minx
(
self
):
...
...
@@ -125,8 +122,6 @@ class Line(IDGenerator, TransformableContainer):
def
next
(
self
):
yield
"p1"
#yield self.p1
#yield lambda x: self.p2 = x
yield
"p2"
def
get_children_count
(
self
):
...
...
@@ -147,13 +142,11 @@ class Line(IDGenerator, TransformableContainer):
def
point_with_length_multiply
(
self
,
l
):
return
padd
(
self
.
p1
,
pmul
(
self
.
dir
,
l
*
self
.
len
))
#return self.p1.add(self.dir.mul(l*self.len))
def
get_length_line
(
self
,
length
):
""" return a line with the same direction and the specified length
"""
return
Line
(
self
.
p1
,
padd
(
self
.
p1
,
pmul
(
self
.
dir
,
length
)))
#return Line(self.p1, self.p1.add(self.dir.mul(length)))
def
closest_point
(
self
,
p
):
v
=
self
.
dir
...
...
@@ -161,13 +154,10 @@ class Line(IDGenerator, TransformableContainer):
# for zero-length lines
return
self
.
p1
l
=
pdot
(
self
.
p1
,
v
)
-
pdot
(
p
,
v
)
#l = self.p1.dot(v) - p.dot(v)
return
psub
(
self
.
p1
,
pmul
(
v
,
l
))
#return self.p1.sub(v.mul(l))
def
dist_to_point_sq
(
self
,
p
):
return
pnormsq
(
psub
(
p
,
self
.
closes_point
(
p
)))
#return p.sub(self.closest_point(p)).normsq
def
dist_to_point
(
self
,
p
):
return
sqrt
(
self
.
dist_to_point_sq
(
p
))
...
...
@@ -178,9 +168,7 @@ class Line(IDGenerator, TransformableContainer):
return
True
dir1
=
pnormalized
(
psub
(
p
,
self
.
p1
))
#dir1 = p.sub(self.p1).normalized()
dir2
=
pnormalized
(
psub
(
self
.
p2
,
p
))
#dir2 = self.p2.sub(p).normalized()
# True if the two parts of the line have the same direction or if the
# point is self.p1 or self.p2.
return
(
dir1
==
dir2
==
self
.
dir
)
or
(
dir1
is
None
)
or
(
dir2
is
None
)
...
...
@@ -210,19 +198,14 @@ class Line(IDGenerator, TransformableContainer):
"""
x1
,
x2
,
x3
,
x4
=
self
.
p1
,
self
.
p2
,
line
.
p1
,
line
.
p2
a
=
psub
(
x2
,
x1
)
#a = x2.sub(x1)
b
=
psub
(
x4
,
x3
)
#b = x4.sub(x3)
c
=
psub
(
x3
,
x1
)
#c = x3.sub(x1)
# see http://mathworld.wolfram.com/Line-LineIntersection.html (24)
try
:
factor
=
pdot
(
pcross
(
c
,
b
),
pcross
(
a
,
b
))
/
pnormsq
(
pcross
(
a
,
b
))
#factor = c.cross(b).dot(a.cross(b)) / a.cross(b).normsq
except
ZeroDivisionError
:
# lines are parallel
# check if they are _one_ line
#if a.cross(c).norm != 0:
if
pnorm
(
pcross
(
a
,
c
))
!=
0
:
# the lines are parallel with a distance
return
None
,
None
...
...
@@ -232,7 +215,6 @@ class Line(IDGenerator, TransformableContainer):
candidates
.
append
((
x3
,
pnorm
(
c
)
/
pnorm
(
a
)))
elif
self
.
is_point_inside
(
x4
):
candidates
.
append
((
x4
,
pnorm
(
psub
(
line
.
p2
,
self
.
p1
))
/
pnorm
(
a
)))
#candidates.append((x4, line.p2.sub(self.p1).norm / a.norm))
elif
line
.
is_point_inside
(
x1
):
candidates
.
append
((
x1
,
0
))
elif
line
.
is_point_inside
(
x2
):
...
...
@@ -244,7 +226,6 @@ class Line(IDGenerator, TransformableContainer):
return
candidates
[
0
]
if
infinite_lines
or
(
-
epsilon
<=
factor
<=
1
+
epsilon
):
intersection
=
padd
(
x1
,
pmul
(
a
,
factor
))
#intersection = x1.add(a.mul(factor))
# check if the intersection is between x3 and x4
if
infinite_lines
:
return
intersection
,
factor
...
...
pycam/Geometry/Model.py
View file @
73cb1bb0
...
...
@@ -980,7 +980,6 @@ class PolygonGroup(object):
line_distances
=
[]
for
line
in
self
.
lines
:
cross_product
=
pcross
(
line
.
dir
,
psub
(
point
,
line
.
p1
))
#cross_product = line.dir.cross(point.sub(line.p1))
if
cross_product
[
2
]
>
0
:
close_points
=
[]
close_point
=
line
.
closest_point
(
point
)
...
...
@@ -991,9 +990,7 @@ class PolygonGroup(object):
close_points
.
append
(
close_point
)
for
p
in
close_points
:
direction
=
psub
(
point
,
p
)
#direction = point.sub(p)
dist
=
pnorm
(
direction
)
#dist = direction.norm
line_distances
.
append
(
dist
)
elif
cross_product
.
z
==
0
:
# the point is on the line
...
...
@@ -1071,7 +1068,6 @@ class Rectangle(IDGenerator, TransformableContainer):
orders
=
((
p1
,
p2
,
p3
,
p4
),
(
p1
,
p2
,
p4
,
p3
),
(
p1
,
p3
,
p2
,
p4
),
(
p1
,
p3
,
p4
,
p2
),
(
p1
,
p4
,
p2
,
p3
),
(
p1
,
p4
,
p3
,
p2
))
for
order
in
orders
:
#if abs(order[0].sub(order[2]).norm - order[1].sub(order[3]).norm) < epsilon:
if
abs
(
pnorm
(
psub
(
order
[
0
],
order
[
2
]))
-
pnorm
(
psub
(
order
[
1
],
order
[
3
])))
<
epsilon
:
t1
=
Triangle
(
order
[
0
],
order
[
1
],
order
[
2
])
t2
=
Triangle
(
order
[
2
],
order
[
3
],
order
[
0
])
...
...
@@ -1101,10 +1097,6 @@ class Rectangle(IDGenerator, TransformableContainer):
return
(
self
.
p1
,
self
.
p2
,
self
.
p3
,
self
.
p4
)
def
next
(
self
):
#yield self.p1
#yield self.p2
#yield self.p3
#yield self.p4
yield
"p1"
yield
"p2"
yield
"p3"
...
...
@@ -1141,7 +1133,6 @@ class Rectangle(IDGenerator, TransformableContainer):
log
.
error
(
"Invalid number of vertices:
%
s"
%
unique_vertices
)
return
None
if
abs
(
pnorm
(
psub
(
unique_verticies
[
0
],
unique_verticies
[
1
]))
-
pnorm
(
psub
(
shared_vertices
[
0
],
shared_vertices
[
1
])))
<
epsilon
:
#if abs(unique_vertices[0].sub(unique_vertices[1]).norm - shared_vertices[0].sub(shared_vertices[1]).norm) < epsilon:
try
:
return
Rectangle
(
unique_vertices
[
0
],
unique_vertices
[
1
],
shared_vertices
[
0
],
shared_vertices
[
1
],
...
...
pycam/Geometry/Plane.py
View file @
73cb1bb0
...
...
@@ -77,13 +77,10 @@ class Plane(IDGenerator, TransformableContainer):
if
direction
is
None
:
return
(
None
,
INFINITE
)
denom
=
pdot
(
self
.
n
,
direction
)
#denom = self.n.dot(direction)
if
denom
==
0
:
return
(
None
,
INFINITE
)
l
=
-
(
pdot
(
self
.
n
,
point
)
-
pdot
(
self
.
n
,
self
.
p
))
/
denom
#l = -(self.n.dot(point) - self.n.dot(self.p)) / denom
cp
=
padd
(
point
,
pmul
(
direction
,
l
))
#cp = point.add(direction.mul(l))
return
(
cp
,
l
)
def
intersect_triangle
(
self
,
triangle
,
counter_clockwise
=
False
):
...
...
@@ -121,8 +118,6 @@ class Plane(IDGenerator, TransformableContainer):
if
collision_line
.
len
==
0
:
return
collision_line
cross
=
pcross
(
self
.
n
,
collision_line
.
dir
)
#cross = self.n.cross(collision_line.dir)
#if (cross.dot(triangle.normal) < 0) == bool(not counter_clockwise):
if
(
pdot
(
cross
,
triangle
.
normal
)
<
0
)
==
bool
(
not
counter_clockwise
):
# anti-clockwise direction -> revert the direction of the line
collision_line
=
Line
(
collision_line
.
p2
,
collision_line
.
p1
)
...
...
pycam/Geometry/PointKdtree.py
View file @
73cb1bb0
...
...
@@ -47,7 +47,6 @@ class PointKdtree(kdtree):
return
dx
*
dx
+
dy
*
dy
+
dz
*
dz
def
Point
(
self
,
x
,
y
,
z
):
#return Point(x,y,z)
if
self
.
_n
:
n
=
self
.
_n
n
.
bound
=
(
x
,
y
,
z
)
...
...
pycam/Geometry/Polygon.py
View file @
73cb1bb0
This diff is collapsed.
Click to expand it.
pycam/Geometry/PolygonExtractor.py
View file @
73cb1bb0
This diff is collapsed.
Click to expand it.
pycam/Geometry/Triangle.py
View file @
73cb1bb0
...
...
@@ -65,26 +65,18 @@ class Triangle(IDGenerator, TransformableContainer):
# calculate normal, if p1-p2-pe are in clockwise order
if
self
.
normal
is
None
:
self
.
normal
=
pnormalized
(
pcross
(
psub
(
self
.
p3
,
self
.
p1
),
psub
(
self
.
p2
,
self
.
p1
)))
#self.normal = self.p3.sub(self.p1).cross(self.p2.sub( \
# self.p1)).normalized()
if
not
len
(
self
.
normal
)
>
3
:
self
.
normal
=
(
self
.
normal
[
0
],
self
.
normal
[
1
],
self
.
normal
[
2
],
'v'
)
self
.
center
=
pdiv
(
padd
(
padd
(
self
.
p1
,
self
.
p2
),
self
.
p3
),
3
)
# self.center = self.p1.add(self.p2).add(self.p3).div(3)
self
.
plane
=
Plane
(
self
.
center
,
self
.
normal
)
# calculate circumcircle (resulting in radius and middle)
denom
=
pnorm
(
pcross
(
psub
(
self
.
p2
,
self
.
p1
),
psub
(
self
.
p3
,
self
.
p2
)))
#denom = self.p2.sub(self.p1).cross(self.p3.sub(self.p2)).norm
self
.
radius
=
(
pnorm
(
psub
(
self
.
p2
,
self
.
p1
))
*
pnorm
(
psub
(
self
.
p3
,
self
.
p2
))
*
pnorm
(
psub
(
self
.
p3
,
self
.
p1
)))
/
(
2
*
denom
)
#self.radius = (self.p2.sub(self.p1).norm * self.p3.sub(self.p2).norm * self.p3.sub(self.p1).norm) / (2 * denom)
self
.
radiussq
=
self
.
radius
**
2
denom2
=
2
*
denom
*
denom
alpha
=
pnormsq
(
psub
(
self
.
p3
,
self
.
p2
))
*
pdot
(
psub
(
self
.
p1
,
self
.
p2
),
psub
(
self
.
p1
,
self
.
p3
))
/
denom2
#alpha = self.p3.sub(self.p2).normsq * self.p1.sub(self.p2).dot(self.p1.sub(self.p3)) / denom2
beta
=
pnormsq
(
psub
(
self
.
p1
,
self
.
p3
))
*
pdot
(
psub
(
self
.
p2
,
self
.
p1
),
psub
(
self
.
p2
,
self
.
p3
))
/
denom2
#beta = self.p1.sub(self.p3).normsq * self.p2.sub(self.p1).dot(self.p2.sub(self.p3)) / denom2
gamma
=
pnormsq
(
psub
(
self
.
p1
,
self
.
p2
))
*
pdot
(
psub
(
self
.
p3
,
self
.
p1
),
psub
(
self
.
p3
,
self
.
p2
))
/
denom2
#gamma = self.p1.sub(self.p2).normsq * self.p3.sub(self.p1).dot(self.p3.sub(self.p2)) / denom2
self
.
middle
=
(
self
.
p1
[
0
]
*
alpha
+
self
.
p2
[
0
]
*
beta
+
self
.
p3
[
0
]
*
gamma
,
self
.
p1
[
1
]
*
alpha
+
self
.
p2
[
1
]
*
beta
+
self
.
p3
[
1
]
*
gamma
,
self
.
p1
[
2
]
*
alpha
+
self
.
p2
[
2
]
*
beta
+
self
.
p3
[
2
]
*
gamma
)
...
...
@@ -145,17 +137,12 @@ class Triangle(IDGenerator, TransformableContainer):
c
=
self
.
center
GL
.
glTranslate
(
c
[
0
],
c
[
1
],
c
[
2
])
p12
=
pmul
(
padd
(
self
.
p1
,
self
.
p2
),
0.5
)
#p12 = self.p1.add(self.p2).mul(0.5)
p3_12
=
pnormalized
(
psub
(
self
.
p3
,
p12
))
#p3_12 = self.p3.sub(p12).normalized()
p2_1
=
pnormalized
(
psub
(
self
.
p1
,
self
.
p2
))
#p2_1 = self.p1.sub(self.p2).normalized()
pn
=
pcross
(
p2_1
,
p3_12
)
#pn = p2_1.cross(p3_12)
GL
.
glMultMatrixf
((
p2_1
[
0
],
p2_1
[
1
],
p2_1
[
2
],
0
,
p3_12
[
0
],
p3_12
[
1
],
p3_12
[
2
],
0
,
pn
[
0
],
pn
[
1
],
pn
[
2
],
0
,
0
,
0
,
0
,
1
))
n
=
pmul
(
self
.
normal
,
0.01
)
#n = self.normal.mul(0.01)
GL
.
glTranslatef
(
n
[
0
],
n
[
1
],
n
[
2
])
maxdim
=
max
((
self
.
maxx
-
self
.
minx
),
(
self
.
maxy
-
self
.
miny
),
(
self
.
maxz
-
self
.
minz
))
...
...
@@ -172,19 +159,13 @@ class Triangle(IDGenerator, TransformableContainer):
if
False
:
# draw point id on triangle face
c
=
self
.
center
p12
=
pmul
(
padd
(
self
.
p1
,
self
.
p2
),
0.5
)
#p12 = self.p1.add(self.p2).mul(0.5)
p3_12
=
pnormalized
(
psub
(
self
.
p3
,
p12
))
#p3_12 = self.p3.sub(p12).normalized()
p2_1
=
pnormalized
(
psub
(
self
.
p1
,
self
.
p2
))
#p2_1 = self.p1.sub(self.p2).normalized()
pn
=
pcross
(
p2_1
,
p3_12
)
#pn = p2_1.cross(p3_12)
n
=
pmul
(
self
.
normal
,
0.01
)
#n = self.normal.mul(0.01)
for
p
in
(
self
.
p1
,
self
.
p2
,
self
.
p3
):
GL
.
glPushMatrix
()
pp
=
psub
(
p
,
pmul
(
psub
(
p
,
c
),
0.3
))
#pp = p.sub(p.sub(c).mul(0.3))
GL
.
glTranslate
(
pp
[
0
],
pp
[
1
],
pp
[
2
])
GL
.
glMultMatrixf
((
p2_1
[
0
],
p2_1
[
1
],
p2_1
[
2
],
0
,
p3_12
[
0
],
p3_12
[
1
],
p3_12
[
2
],
0
,
pn
[
0
],
pn
[
1
],
pn
[
2
],
0
,
0
,
0
,
0
,
1
))
...
...
@@ -202,17 +183,14 @@ class Triangle(IDGenerator, TransformableContainer):
# http://www.blackpawn.com/texts/pointinpoly/default.html
# Compute vectors
v0
=
psub
(
self
.
p3
,
self
.
p1
)
#v0 = self.p3.sub(self.p1)
v1
=
psub
(
self
.
p2
,
self
.
p1
)
#v1 = self.p2.sub(self.p1)
v2
=
psub
(
p
,
self
.
p1
)
#v2 = p.sub(self.p1)
# Compute dot products
dot00
=
pdot
(
v0
,
v0
)
# dot00 = v0.dot(v0)
dot01
=
pdot
(
v0
,
v1
)
# dot01 = v0.dot(v1)
dot02
=
pdot
(
v0
,
v2
)
# dot02 = v0.dot(v2)
dot11
=
pdot
(
v1
,
v1
)
# dot11 = v1.dot(v1)
dot12
=
pdot
(
v1
,
v2
)
# dot12 = v1.dot(v2)
dot00
=
pdot
(
v0
,
v0
)
dot01
=
pdot
(
v0
,
v1
)
dot02
=
pdot
(
v0
,
v2
)
dot11
=
pdot
(
v1
,
v1
)
dot12
=
pdot
(
v1
,
v2
)
# Compute barycentric coordinates
denom
=
dot00
*
dot11
-
dot01
*
dot01
if
denom
==
0
:
...
...
@@ -232,11 +210,8 @@ class Triangle(IDGenerator, TransformableContainer):
sub
.
append
(
self
)
else
:
p4
=
pdiv
(
padd
(
self
.
p1
,
self
.
p2
),
2
)
#p4 = self.p1.add(self.p2).div(2)
p5
=
pdiv
(
padd
(
self
.
p2
,
self
.
p3
),
2
)
#p5 = self.p2.add(self.p3).div(2)
p6
=
pdiv
(
padd
(
self
.
p3
,
self
.
p1
),
2
)
#p6 = self.p3.add(self.p1).div(2)
sub
+=
Triangle
(
self
.
p1
,
p4
,
p6
)
.
subdivide
(
depth
-
1
)
sub
+=
Triangle
(
p6
,
p5
,
self
.
p3
)
.
subdivide
(
depth
-
1
)
sub
+=
Triangle
(
p6
,
p4
,
p5
)
.
subdivide
(
depth
-
1
)
...
...
@@ -245,6 +220,5 @@ class Triangle(IDGenerator, TransformableContainer):
def
get_area
(
self
):
cross
=
pcross
(
psub
(
self
.
p2
,
self
.
p1
),
psub
(
self
.
p3
,
self
.
p1
))
#cross = self.p2.sub(self.p1).cross(self.p3.sub(self.p1))
return
pnorm
(
cross
)
/
2
pycam/Geometry/__init__.py
View file @
73cb1bb0
...
...
@@ -38,23 +38,16 @@ def get_bisector(p1, p2, p3, up_vector):
of the angle.
"""
d1
=
pnormalized
(
psub
(
p2
,
p1
))
#d1 = p2.sub(p1).normalized()
d2
=
pnormalized
(
psub
(
p2
,
p3
))
#d2 = p2.sub(p3).normalized()
bisector_dir
=
pnormalized
(
padd
(
d1
,
d2
))
#bisector_dir = d1.add(d2).normalized()
if
bisector_dir
is
None
:
# the two vectors pointed to opposite directions
bisector_dir
=
pnormalized
(
pcross
(
d1
,
up_vector
))
#bisector_dir = d1.cross(up_vector).normalized()
else
:
skel_up_vector
=
pcross
(
bisector_dir
,
psub
(
p2
,
p1
))
#skel_up_vector = bisector_dir.cross(p2.sub(p1))
#if up_vector.dot(skel_up_vector) < 0:
if
pdot
(
up_vector
,
skel_up_vector
)
<
0
:
# reverse the skeleton vector to point outwards
bisector_dir
=
pmul
(
bisector_dir
,
-
1
)
#bisector_dir = bisector_dir.mul(-1)
return
bisector_dir
def
get_angle_pi
(
p1
,
p2
,
p3
,
up_vector
,
pi_factor
=
False
):
...
...
@@ -69,13 +62,10 @@ def get_angle_pi(p1, p2, p3, up_vector, pi_factor=False):
The result is in a range between 0 and 2*PI.
"""
d1
=
pnormalized
(
psub
(
p2
,
p1
))
#d1 = p2.sub(p1).normalized()
d2
=
pnormalized
(
psub
(
p2
,
p3
))
#d2 = p2.sub(p3).normalized()
if
(
d1
is
None
)
or
(
d2
is
None
):
return
2
*
math
.
pi
angle
=
math
.
acos
(
pdot
(
d1
,
d2
))
#angle = math.acos(d1.dot(d2))
# check the direction of the points (clockwise/anti)
# The code is taken from Polygon.get_area
value
=
[
0
,
0
,
0
]
...
...
@@ -145,7 +135,6 @@ def get_bezier_lines(points_with_bulge, segments=32):
# straight line
return
[
Line
.
Line
(
p1
,
p2
)]
straight_dir
=
pnormalized
(
psub
(
p2
,
p1
))
#straight_dir = p2.sub(p1).normalized()
#bulge1 = max(-1.0, min(1.0, bulge1))
bulge1
=
math
.
atan
(
bulge1
)
rot_matrix
=
Matrix
.
get_rotation_matrix_axis_angle
((
0
,
0
,
1
),
...
...
@@ -170,7 +159,6 @@ def get_bezier_lines(points_with_bulge, segments=32):
# and a bulge of 1 is a semicircle.
alpha
=
2
*
(
abs
(
bulge1
)
+
abs
(
bulge2
))
dist
=
pnorm
(
psub
(
p2
,
p1
))
#dist = p2.sub(p1).norm
# calculate the radius of the circumcircle - avoiding divide-by-zero
if
(
abs
(
alpha
)
<
epsilon
)
or
(
abs
(
math
.
pi
-
alpha
)
<
epsilon
):
radius
=
dist
/
2.0
...
...
@@ -181,20 +169,11 @@ def get_bezier_lines(points_with_bulge, segments=32):
# seems to work well.
factor
=
4
*
radius
*
math
.
tan
(
alpha
/
4.0
)
dir1
=
pmul
(
dir1
,
factor
)
#dir1 = dir1.mul(factor)
dir2
=
pmul
(
dir2
,
factor
)
#dir2 = dir2.mul(factor)
for
index
in
range
(
segments
+
1
):
# t: 0..1
t
=
float
(
index
)
/
segments
# see: http://en.wikipedia.org/wiki/Cubic_Hermite_spline
#p = p1.mul(2 * t ** 3 - 3 * t ** 2 + 1).add(
# dir1.mul(t ** 3 - 2 * t ** 2 + t).add(
# p2.mul(-2 * t ** 3 + 3 * t ** 2).add(
# dir2.mul(t ** 3 - t ** 2)
# )
# )
#)
p
=
padd
(
pmul
(
p1
,
2
*
t
**
3
-
3
*
t
**
2
+
1
)
,
padd
(
pmul
(
dir1
,
t
**
3
-
2
*
t
**
2
+
t
),
padd
(
pmul
(
p2
,
-
2
*
t
**
3
+
3
*
t
**
2
)
,
pmul
(
dir2
,
t
**
3
-
t
**
2
))))
result_points
.
append
(
p
)
# create lines
...
...
pycam/Geometry/intersection.py
View file @
73cb1bb0
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