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
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
|
/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
/*
* This file is part of the LibreOffice project.
*
* This Source Code Form is subject to the terms of the Mozilla Public
* License, v. 2.0. If a copy of the MPL was not distributed with this
* file, You can obtain one at http://mozilla.org/MPL/2.0/.
*
* This file incorporates work covered by the following license notice:
*
* Licensed to the Apache Software Foundation (ASF) under one or more
* contributor license agreements. See the NOTICE file distributed
* with this work for additional information regarding copyright
* ownership. The ASF licenses this file to you under the Apache
* License, Version 2.0 (the "License"); you may not use this file
* except in compliance with the License. You may obtain a copy of
* the License at http://www.apache.org/licenses/LICENSE-2.0 .
*/
#pragma once
#include <basegfx/point/b2dpoint.hxx>
#include <basegfx/range/b2drange.hxx>
#include <basegfx/basegfxdllapi.h>
namespace basegfx
{
class B2DPolygon;
}
namespace basegfx
{
class BASEGFX_DLLPUBLIC B2DCubicBezier
{
private:
B2DPoint maStartPoint;
B2DPoint maEndPoint;
B2DPoint maControlPointA;
B2DPoint maControlPointB;
public:
B2DCubicBezier();
B2DCubicBezier(const B2DCubicBezier& rBezier);
B2DCubicBezier(const B2DPoint& rStart, const B2DPoint& rControlPointA, const B2DPoint& rControlPointB, const B2DPoint& rEnd);
~B2DCubicBezier();
// assignment operator
B2DCubicBezier& operator=(const B2DCubicBezier& rBezier);
// compare operators
bool operator==(const B2DCubicBezier& rBezier) const;
bool operator!=(const B2DCubicBezier& rBezier) const;
bool equal(const B2DCubicBezier& rBezier) const;
// test if vectors are used
bool isBezier() const;
// test if contained bezier is trivial and reset vectors accordingly
void testAndSolveTrivialBezier();
/** get length of edge
This method handles beziers and simple edges. For
beziers, the deviation describes the maximum allowed
deviation from the real edge length. The default
allows a deviation of 1% from the correct length.
For beziers, there is no direct way to get the length,
thus this method may subdivide the bezier edge and may
not be cheap.
@param fDeviation
The maximal allowed deviation between correct length
and bezier edge length
@return
The length of the edge
*/
double getLength(double fDeviation = 0.01) const;
// get distance between start and end point
double getEdgeLength() const;
// get length of control polygon
double getControlPolygonLength() const;
// data interface
const B2DPoint& getStartPoint() const { return maStartPoint; }
void setStartPoint(const B2DPoint& rValue) { maStartPoint = rValue; }
const B2DPoint& getEndPoint() const { return maEndPoint; }
void setEndPoint(const B2DPoint& rValue) { maEndPoint = rValue; }
const B2DPoint& getControlPointA() const { return maControlPointA; }
void setControlPointA(const B2DPoint& rValue) { maControlPointA = rValue; }
const B2DPoint& getControlPointB() const { return maControlPointB; }
void setControlPointB(const B2DPoint& rValue) { maControlPointB = rValue; }
/** get the tangent in point t
This method handles all the exceptions, e.g. when control point
A is equal to start point and/or control point B is equal to end
point
@param t
The bezier index in the range [0.0 .. 1.0]. It will be truncated.
@return
The tangent vector in point t
*/
B2DVector getTangent(double t) const;
/** adaptive subdivide by angle criteria
no start point is added, but all necessary created edges
and the end point
#i37443# allow the criteria to get unsharp in recursions
*/
void adaptiveSubdivideByAngle(B2DPolygon& rTarget, double fAngleBound) const;
/** #i37443# adaptive subdivide by nCount subdivisions
no start point is added, but all necessary created edges
and the end point
*/
void adaptiveSubdivideByCount(B2DPolygon& rTarget, sal_uInt32 nCount) const;
/** Subdivide cubic bezier segment.
This function adaptively subdivides the bezier
segment into as much straight line segments as necessary,
such that the maximal orthogonal distance from any of the
segments to the true curve is less than the given error
value.
No start point is added, but all necessary created edges
and the end point
@param rPoly
Output polygon. The subdivided bezier segment is added to
this polygon via B2DPolygon::append().
@param rCurve
The cubic bezier curve to subdivide
@param fDistanceBound
Bound on the maximal distance of the approximation to the
true curve.
*/
void adaptiveSubdivideByDistance(B2DPolygon& rTarget, double fDistanceBound) const;
// get point at given relative position
B2DPoint interpolatePoint(double t) const;
// calculate the smallest distance from given point to this cubic bezier segment
// and return the value. The relative position on the segment is returned in rCut.
double getSmallestDistancePointToBezierSegment(const B2DPoint& rTestPoint, double& rCut) const;
// do a split at position t and fill both resulting segments
void split(double t, B2DCubicBezier* pBezierA, B2DCubicBezier* pBezierB) const;
// extract snippet from fStart to fEnd from this bezier
B2DCubicBezier snippet(double fStart, double fEnd) const;
// get range including control points
B2DRange getRange() const;
/** Get the minimum extremum position t
@param rfResult
Will be changed and might possibly be set to a found split value, which should be in the
range [0.0 .. 1.0]. It will be the smallest current extremum; there may be more
@return
Returns true if there was at least one extremum found
*/
bool getMinimumExtremumPosition(double& rfResult) const;
/** Get all extremum pos of this segment
This method will calculate all extremum positions of the segment
and add them to rResults if they are in the range ]0.0 .. 1.0[
@param rResults
The vector of doubles where the results will be added. Evtl.
existing contents will be removed since an empty vector is a
necessary result to express that there are no extreme positions
anymore. Since there is an upper maximum of 4 values, it makes
sense to use reserve(4) at the vector as preparation.
*/
void getAllExtremumPositions(::std::vector< double >& rResults) const;
/// apply transformation given in matrix form
void transform(const basegfx::B2DHomMatrix& rMatrix);
/// fround content
void fround();
};
} // end of namespace basegfx
/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
|
