Point Cloud Library (PCL)  1.10.0-dev
opennurbs_optimize.h
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2 /*
3 //
5 // OpenNURBS, Rhinoceros, and Rhino3D are registered trademarks of Robert
6 // McNeel & Associates.
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16
17 #if !defined(OPENNURBS_OPTIMIZE_INC_)
18 #define OPENNURBS_OPTIMIZE_INC_
19
20 // find a local minimum of a 1 parameter function
21 ON_BOOL32 ON_FindLocalMinimum( // returns 0 - failed to converge, 1 - success, 2 - failed to converge to requested tolerances
22  int (*)(void*,double,double*,double*), // f(void*, double t, double* value, double* derivative );
23  void*, // passed as the void* argument to the above function
24  double, double, double, // ax,bx,cx, 3 abcissa ax<bx<cx or ax>bx>cx, and
25  // f(bx) < f(ax), and f(bx) < f(cx)
26  double, // tol > 0 (minimum relative step size (use ON_EPSILON when in doubt)
27  double, // zeps > 0 (minimum absolute step size (use 1/2*(desired absolute precision))
28  int, // maximum number of iterations ( use 100 when in doubt)
29  double* // abcissa of local minimum returned here
30  );
31
32 // find a local zero of a 1 parameter function
34 {
35 public:
36  ON_LocalZero1();
37  virtual ~ON_LocalZero1();
38
39  virtual
40  ON_BOOL32 Evaluate( // returns true if successful
41  double, // evaluation parameter
42  double*, // f(t) returned here - NULL never passed
43  double*, // If not NULL, then f'(t) returned here
44  int // < 0: evaluate from below
45  // >= 0: evaluate from above
46  ) = 0;
47
48
49  ON_BOOL32 FindZero( double* ); // Searches domain between m_to and m_t1
50  // domain for a root. Returns true if
51  // a root is found.
52
53  // m_t0 and m_t1 specify the domain to search and must satisfy
54  //
55  // 1) m_t0 != m_t1
56  // 2) f(m_t0) and f(m_t1) must have different signs
57  // or one must have absolute value <= m_f_tolerance
58  double m_t0, m_t1;
59
60  double m_f_tolerance; // (>= 0.0) If this value is > 0.0, then
61  // the search is terminated when a parameter
62  // "t" is found where |f(t)| <= m_f_tolerance.
63
64  double m_t_tolerance; // (>= 0.0) If this value is > 0.0, then
65  // the search is terminated when a parameter
66  // the root is bracketed in a domain with width
67  // <= m_t_tolerance.
68
69  // m_k[] is either NULL or monotone increasing array of length m_k_count.
70  //
71  // This zero finder works on continuous piecewise c2 functions.
72  // If the function is c2 on the interior of the domain
73  //
74  // [min(t0,t1), max(m_t0,m_t1)]
75  //
76  // then there is no need to initialize m_k[]. If the function
77  // is not c2 on the domain in question, then the m_k[m_count] array
78  // is a list of parameters that define the c2 domains. When m_k[]
79  // is not NULL, m_count must be >= 2 and m_k[] must be monotone
80  // increasing and satisfy
81  //
82  // m_k[0] <= min(m_t0,m_t1)
83  // and
84  // m_k[m_count-1] >= max(m_t0,m_t1).
85  //
86  // Duplicate values in m_k[] are permitted so that NURBS knot
87  // vector arrays may be used directly.
88  const double* m_k;
89
90  // length of m_k[] array ( 0 or >= 2 ).
91  int m_k_count;
92
93 private:
94  double m_s0, m_f0, m_s1, m_f1;
95  ON_BOOL32 BracketZero(double,double,double,double,int=0);
96  ON_BOOL32 BracketSpan(double,double,double,double);
97  ON_BOOL32 NewtonRaphson( double, double, double, double, int, double* );
98 };
99
100 #endif
101
ON_BOOL32 FindZero(double *)
virtual ON_BOOL32 Evaluate(double, double *, double *, int)=0
const double * m_k
virtual ~ON_LocalZero1()