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: s1935.c,v 1.4 2001-03-19 15:58:56 afr Exp $
45  *
46  */
47 
48 
49 #define S1935
50 
51 #include "sislP.h"
52 
53 
54 #if defined(SISLNEEDPROTOTYPES)
s1935(double et1[],int in1,double et2[],int in2,double * knt[],int * in,int ik,int * jstat)55 void s1935 (double et1[], int in1, double et2[], int in2,
56 	    double *knt[], int *in, int ik, int *jstat)
57 #else
58 void
59 s1935 (et1, in1, et2, in2, knt, in, ik, jstat)
60      double *et1;
61      int in1;
62      double *et2;
63      int in2;
64      double *knt[];
65      int *in;
66      int ik;
67      int *jstat;
68 
69 #endif
70 /*
71 *********************************************************************
72 *
73 *********************************************************************
74 *
75 * PURPOSE: To produce a knot vector that is the union of two knot
76 *	   vectors. The original knot vectors and the produced knot
77 *	   vector are of the same order.
78 *
79 *
80 * INPUT:   et1	- The first knot vector.
81 *	   in1	- The number of degrees of freedom in the
82 *	          B-basis given by the first knot vector.
83 *	   et2	- The second knot vector.
84 *	   in2	- The number of degrees of freedom in the
85 *		  B-basis given by the second knot vector.
86 *	   ik	- The order of the knot vector to be produced.
87 *
88 * OUTPUT:  jstat - Output status:
89 *                   < 0: Error.
90 *		    = 0: Ok.
91 *                   > 0: Warning.
92 *
93 * METHOD:
94 *
95 * REFERENCES:  Fortran version:
96 *              T.Dokken, SI, 1981-11
97 *
98 * CALLS: s6err.
99 *
100 * WRITTEN BY:  Christophe R. Birkeland, SI, 1991-07
101 * CORRECTED BY: Vibeke Skytt, SI, 92-10. Removed exact test on equality
102 *                                        of knots.
103 * CORRECTED BY: Christophe R. Birkeland, SI, 93-05.
104 *         Reinstalled exact test on equality of knots. Necessary
105 *         for correct working of routine s1931-s1937.
106 * CORRECTED BY: Paal Fugelli, SINTEF, 1994-07.
107 *         Changed the setting of 'curr', for the while loop, to avoid
108 *         over running array bounds (address error) and added DEQUAL in
109 *         tests for knot equality.
110 *
111 *********************************************************************
112 */
113 {
114   int kpos = 0;			/* Error position indicator.		*/
115   int pek1, pek2;		/* Index for array et1 and et2. 	*/
116   int stop1;			/* Length of et1, equals in1+ik.	*/
117   int stop2;			/* Length of et2, equals in2+ik.	*/
118   double curr;			/* Parameter used in calculation of
119 				   new knots.				*/
120 
121   *jstat = 0;
122 
123   /* Test if legal input */
124 
125   if (ik < 1) goto err110;
126   if ((in1 < ik) || (in2 < ik)) goto err111;
127 
128 
129   /* Allocate array for new knot vector */
130 
131   if((*knt = newarray (2 * ik + in1 + in2, DOUBLE))==SISL_NULL) goto err101;
132 
133   /* Test if input knot vectors degenerate */
134 
135   if (et1[ik - 1] >= et1[in1]) goto err112;
136 
137   if (et2[ik - 1] >= et2[in2]) goto err112;
138 
139   /* PRODUCTION OF KNOTS */
140 
141   *in = 0;
142   /* PFU 05/07-94  curr = MIN (et1[0], et2[0]); */
143   pek1 = 0;
144   pek2 = 0;
145   stop1 = in1 + ik;
146   stop2 = in2 + ik;
147 
148   while ((pek1 < stop1) && (pek2 < stop2))
149     {
150       /* Test if error in knot vector */
151 
152       curr = MIN (et1[pek1], et2[pek2]);
153 
154       if ((et1[pek1] < curr) || (et2[pek2] < curr)) goto err112;
155 
156       if ( DEQUAL(et1[pek1],curr) ) pek1++;
157       if ( DEQUAL(et2[pek2],curr) ) pek2++;
158       (*knt)[*in] = curr;
159       (*in) ++;
160     }
161 
162   /* Some knots may remain in one of the arrays */
163 
164   if ((pek1 < stop1) || (pek2 < stop2))
165     {
166       if (pek1 >= stop1)
167 	{
168 	  for (; pek2 < stop2; pek2++, (*in) ++)
169 	    (*knt)[*in] = et2[pek2];
170 	}
171       else
172 	for (; pek1 < stop1; pek1++, (*in) ++)
173 	  (*knt)[*in] = et1[pek1];
174     }
175 
176   /* Knots produced */
177 
178   *in -=ik;
179   *knt = increasearray (*knt, *in +ik, DOUBLE);
180   if (*knt == SISL_NULL) goto err101;
181   goto out;
182 
183 
184   /* Memory error */
185 
186   err101:
187     *jstat = -101;
188     s6err ("s1935", *jstat, kpos);
189     goto out;
190 
191   /* Error in description of B-spline curve: Order less than 1.*/
192 
193   err110:
194     *jstat = -110;
195     s6err ("s1935", *jstat, kpos);
196     goto out;
197 
198   /* No. of vertices less than order. */
199 
200   err111:
201     *jstat = -111;
202     s6err ("s1935", *jstat, kpos);
203     goto out;
204 
205   /* Error in knot vector */
206 
207   err112:
208     *jstat = -112;
209     s6err ("s1935", *jstat, kpos);
210     goto out;
211 
212   out:
213     return;
214 }
215