1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
|
-- File: Geom2dAPI_ExtremaCurveCurve.cdl
-- Created: Wed Mar 23 15:09:47 1994
-- Author: Bruno DUMORTIER
-- <dub@fuegox>
---Copyright: Matra Datavision 1994
class ExtremaCurveCurve from Geom2dAPI
---Purpose: Describes functions for computing all the extrema
-- between two 2D curves.
-- An ExtremaCurveCurve algorithm minimizes or
-- maximizes the distance between a point on the first
-- curve and a point on the second curve. Thus, it
-- computes the start point and end point of
-- perpendiculars common to the two curves (an
-- intersection point is not an extremum except where
-- the two curves are tangential at this point).
-- Solutions consist of pairs of points, and an extremum
-- is considered to be a segment joining the two points of a solution.
-- An ExtremaCurveCurve object provides a framework for:
-- - defining the construction of the extrema,
-- - implementing the construction algorithm, and
-- - consulting the results.
-- Warning
-- In some cases, the nearest points between two
-- curves do not correspond to one of the computed
-- extrema. Instead, they may be given by:
-- - a limit point of one curve and one of the following:
-- - its orthogonal projection on the other curve,
-- - a limit point of the other curve; or
-- - an intersection point between the two curves.
uses
Curve from Geom2d,
Curve from Geom2dAdaptor,
ExtCC2d from Extrema,
Pnt2d from gp,
Length from Quantity,
Parameter from Quantity
raises
OutOfRange from Standard,
NotDone from StdFail
is
Create(C1 , C2 : Curve from Geom2d;
U1min, U1max : Parameter from Quantity;
U2min, U2max : Parameter from Quantity)
---Purpose: Computes the extrema between
-- - the portion of the curve C1 limited by the two
-- points of parameter (U1min,U1max), and
-- - the portion of the curve C2 limited by the two
-- points of parameter (U2min,U2max).
-- Warning
-- Use the function NbExtrema to obtain the number
-- of solutions. If this algorithm fails, NbExtrema returns 0.
returns ExtremaCurveCurve from Geom2dAPI;
--------------------------------------------
-- on ne peut pas utiliser le constructeur vide
-- car n existe pas dans Geom2dExtrema_ExtCC
--------------------------------------------
-- Init(me : in out;
-- C1 , C2 : Curve from Geom2d;
-- U1min, U1max : Parameter from Quantity;
-- U2min, U2max : Parameter from Quantity)
-- is static;
NbExtrema(me)
---Purpose: Returns the number of extrema computed by this algorithm.
-- Note: if this algorithm fails, NbExtrema returns 0.
returns Integer from Standard
---C++: alias "Standard_EXPORT operator Standard_Integer() const;"
is static;
Points(me; Index : Integer from Standard;
P1, P2 : out Pnt2d from gp )
---Purpose: Returns the points P1 on the first curve and P2 on
-- the second curve, which are the ends of the
-- extremum of index Index computed by this algorithm.
-- Exceptions
-- Standard_OutOfRange if Index is not in the range [
-- 1,NbExtrema ], where NbExtrema is the
-- number of extrema computed by this algorithm.
raises
OutOfRange from Standard
is static;
Parameters(me; Index : Integer from Standard;
U1, U2 : out Parameter from Quantity)
---Purpose: Returns the parameters U1 of the point on the first
-- curve and U2 of the point on the second curve, which
-- are the ends of the extremum of index Index
-- computed by this algorithm.
-- Exceptions
-- Standard_OutOfRange if Index is not in the range [
-- 1,NbExtrema ], where NbExtrema is the
-- number of extrema computed by this algorithm.
raises
OutOfRange from Standard
is static;
Distance(me; Index : Integer from Standard)
returns Length from Quantity
---Purpose: Computes the distance between the end points of the
-- extremum of index Index computed by this algorithm.
-- Exceptions
-- Standard_OutOfRange if Index is not in the range [
-- 1,NbExtrema ], where NbExtrema is the
-- number of extrema computed by this algorithm.
raises
OutOfRange from Standard
is static;
NearestPoints(me; P1, P2 : out Pnt2d from gp)
---Purpose: Returns the points P1 on the first curve and P2 on
-- the second curve, which are the ends of the shortest
-- extremum computed by this algorithm.
-- Exceptions StdFail_NotDone if this algorithm fails.
raises
NotDone from StdFail
is static;
LowerDistanceParameters(me; U1, U2 : out Parameter from Quantity)
---Purpose: Returns the parameters U1 of the point on the first
-- curve and U2 of the point on the second curve, which
-- are the ends of the shortest extremum computed by this algorithm.
-- Exceptions
-- StdFail_NotDone if this algorithm fails.
raises
NotDone from StdFail
is static;
LowerDistance(me)
---Purpose: Computes the distance between the end points of the
-- shortest extremum computed by this algorithm.
-- Exceptions - StdFail_NotDone if this algorithm fails.
returns Length from Quantity
---C++: alias "Standard_EXPORT operator Standard_Real() const;"
raises
NotDone from StdFail
is static;
Extrema(me)
---Level: Advanced
---C++: return const&
---C++: inline
returns ExtCC2d from Extrema
is static;
fields
myIsDone: Boolean from Standard;
myIndex : Integer from Standard; -- index of the nearest solution
myExtCC : ExtCC2d from Extrema;
myC1 : Curve from Geom2dAdaptor;
myC2 : Curve from Geom2dAdaptor;
end ExtremaCurveCurve;
|
