1 /*
2  * Copyright (C) 1998, 2000-2007, 2010, 2011, 2012, 2013 SINTEF ICT,
3  * Applied Mathematics, Norway.
4  *
5  * Contact information: E-mail: tor.dokken@sintef.no
6  * SINTEF ICT, Department of Applied Mathematics,
7  * P.O. Box 124 Blindern,
8  * 0314 Oslo, Norway.
9  *
10  * This file is part of SISL.
11  *
12  * SISL is free software: you can redistribute it and/or modify
13  * it under the terms of the GNU Affero General Public License as
14  * published by the Free Software Foundation, either version 3 of the
15  * License, or (at your option) any later version.
16  *
17  * SISL is distributed in the hope that it will be useful,
18  * but WITHOUT ANY WARRANTY; without even the implied warranty of
19  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
20  * GNU Affero General Public License for more details.
21  *
22  * You should have received a copy of the GNU Affero General Public
23  * License along with SISL. If not, see
24  * <http://www.gnu.org/licenses/>.
25  *
26  * In accordance with Section 7(b) of the GNU Affero General Public
27  * License, a covered work must retain the producer line in every data
28  * file that is created or manipulated using SISL.
29  *
30  * Other Usage
31  * You can be released from the requirements of the license by purchasing
32  * a commercial license. Buying such a license is mandatory as soon as you
33  * develop commercial activities involving the SISL library without
34  * disclosing the source code of your own applications.
35  *
36  * This file may be used in accordance with the terms contained in a
37  * written agreement between you and SINTEF ICT.
38  */
39 
40 #include "sisl-copyright.h"
41 
42 /*
43  *
44  * $Id: s1235.c,v 1.3 2001-03-19 15:58:42 afr Exp $
45  *
46  */
47 
48 
49 #define S1235
50 
51 #include "sislP.h"
52 
53 #if defined(SISLNEEDPROTOTYPES)
54 void
s1235(double et[],int in,int ik,int * jnbreak,double ** gbreak,int * jstat)55 s1235(double et[],int in,int ik,int *jnbreak,double **gbreak,int *jstat)
56 #else
57 void s1235(et,in,ik,jnbreak,gbreak,jstat)
58      double et[];
59      int    in;
60      int    ik;
61      int    *jnbreak;
62      double **gbreak;
63      int    *jstat;
64 #endif
65 /*
66 *********************************************************************
67 *
68 *********************************************************************
69 *
70 * PURPOSE    : Find break points in a knot vector. The first and last
71 *              parameter values are break values.
72 *
73 *
74 *
75 * INPUT      : et     - Knot vector to find break points in.
76 *              in     - Number of vertices of the curve corresponding
77 *                       to the knot vector.
78 *              ik     - Order of the curve corresponding to et.
79 *
80 *
81 *
82 * OUTPUT     : jnbreak - Number of break points found.
83 *              gbreak  - Array containing parameter values of break points.
84 *              jstat   - status messages
85 *                                         > 0      : warning
86 *                                         = 0      : ok
87 *                                         < 0      : error
88 *
89 *
90 * METHOD     : The knot vector has a break point at a knot if the
91 *              multiplicity of the knot is ik-1.
92 *
93 *
94 * REFERENCES :
95 *
96 *-
97 * CALLS      :
98 *
99 * WRITTEN BY : Vibeke Skytt, SI, 88-11.
100 * REVISED BY : Vibeke Skytt, SINTEF, 9801. Correction in loop counter
101 *                                          for the periodic case.
102 *
103 *********************************************************************
104 */
105 {
106   int kpos = 0;   /* Position of error.                    */
107   int kj;         /* Counter.                              */
108   int kbreak;     /* Current number of break points found. */
109   int kmult;      /* Multiplisity of current knot.         */
110   double tprev;   /* Value of previous knot.               */
111   double *sbreak; /* Pointer into break point array.       */
112   double *st;     /* Pointer into knot vector.             */
113 
114   /* Allocate space for an array that is at least as great as the
115      number of break points.                                       */
116 
117   *gbreak = SISL_NULL;
118   if ((*gbreak = newarray(in+2,double)) == SISL_NULL) goto err101;
119 
120   /* Set local pointer to and counter of break points.  */
121 
122   sbreak = *gbreak;
123   kbreak = 0;
124 
125   /* Find break point in start of parameter interval and internal breaks. */
126 
127   tprev = et[ik-1];
128   kmult = ik - 1;
129   for (st=et+ik,kj=ik; kj<in; st++,kj++)
130     {
131 
132       if (*st == tprev) kmult++;
133       else
134 	{
135 	  if (kmult >= ik-1)
136 	    {
137 
138 	      /* New break point found.  */
139 
140 	      *(sbreak++) = tprev;
141 	      kbreak++;
142 	    }
143 	  tprev = *st;
144 	  kmult = 1;
145 	}
146     }
147 
148   /* Find break point in end of interval.  */
149 
150   if (et[in] != tprev && kmult >= ik-1)
151     {
152 
153       /* Remember last internal break point.  */
154 
155       *(sbreak++) = tprev;
156       kbreak++;
157     }
158   *(sbreak++) = et[in];
159   kbreak++;
160 
161   /* Reduce break point array to correct size.  */
162 
163   if (kbreak < in+2)
164     if ((*gbreak = increasearray(*gbreak,kbreak,double)) == SISL_NULL) goto err101;
165 
166   /* Break points found.  */
167 
168   *jnbreak = kbreak;
169   *jstat = 0;
170   goto out;
171 
172   /* Error in space allocation.  */
173 
174  err101:
175   *jstat = -101;
176   s6err("s1235",*jstat,kpos);
177   goto out;
178 
179  out:
180   return;
181 }
182