1 | /* nrutil.c *************************************************************** |
---|
2 | |
---|
3 | NR Library Package - Utilities Module |
---|
4 | |
---|
5 | James Trevelyan, University of Western Australia |
---|
6 | Revision 2 January 1996 |
---|
7 | |
---|
8 | **************************************************************************/ |
---|
9 | |
---|
10 | #include <stdio.h> |
---|
11 | #include <math.h> |
---|
12 | #include <stdlib.h> |
---|
13 | #include <string.h> |
---|
14 | #include "nrlin.h" |
---|
15 | |
---|
16 | /* define V_CHECK for validity checks on matrices to be included */ |
---|
17 | #define V_CHECK |
---|
18 | /* define this if you want to use the test program below */ |
---|
19 | #undef TEST |
---|
20 | |
---|
21 | |
---|
22 | void dmmult( double **a, int a_rows, int a_cols, |
---|
23 | double **b, int b_rows, int b_cols, double **y) |
---|
24 | /* multiply two matrices a, b, result in y. y must not be same as a or b */ |
---|
25 | { |
---|
26 | int i, j, k; |
---|
27 | double sum; |
---|
28 | |
---|
29 | if ( a_cols != b_rows ) { |
---|
30 | fprintf(stderr,"a_cols <> b_rows (%d,%d): dmmult\n", a_cols, b_rows); |
---|
31 | exit(1); |
---|
32 | } |
---|
33 | |
---|
34 | #ifdef V_CHECK |
---|
35 | if ( !valid_dmatrix_b( a ) ) |
---|
36 | nrerror("Invalid 1st matrix: dmmult\n"); |
---|
37 | if ( !valid_dmatrix_b( b ) ) |
---|
38 | nrerror("Invalid 2nd matrix: dmmult\n"); |
---|
39 | if ( !valid_dmatrix_b( y ) ) |
---|
40 | nrerror("Invalid result matrix: dmmult\n"); |
---|
41 | #endif |
---|
42 | |
---|
43 | /* getchar(); |
---|
44 | dmdump( stdout, "Matrix a", a, a_rows, a_cols, "%8.2lf"); |
---|
45 | dmdump( stdout, "Matrix b", b, b_rows, b_cols, "%8.2lf"); |
---|
46 | getchar(); |
---|
47 | */ |
---|
48 | for ( i=1; i<=a_rows; i++ ) |
---|
49 | for ( j=1; j<=b_cols; j++ ) { |
---|
50 | sum = 0.0; |
---|
51 | for ( k=1; k<=a_cols; k++ ) sum += a[i][k]*b[k][j]; |
---|
52 | y[i][j] = sum; |
---|
53 | } |
---|
54 | } |
---|
55 | |
---|
56 | void dmvmult( double **a, int a_rows, int a_cols, double *b, int b_els, double *y) |
---|
57 | /* multiply a matrix a by vector b, result in y. y can be same as b */ |
---|
58 | { |
---|
59 | int i, k; |
---|
60 | double sum; |
---|
61 | |
---|
62 | #ifdef V_CHECK |
---|
63 | if ( !valid_dmatrix_b( a ) ) |
---|
64 | nrerror("Invalid matrix: dmvmult\n"); |
---|
65 | if ( !valid_dvector_b( b ) ) |
---|
66 | nrerror("Null pointer to vector: dmvmult"); |
---|
67 | #endif |
---|
68 | |
---|
69 | for ( i=1; i<=a_rows; i++ ) { |
---|
70 | sum = 0.0; |
---|
71 | for ( k=1; k<=a_cols; k++ ) sum += a[i][k]*b[k]; |
---|
72 | y[i] = sum; |
---|
73 | } |
---|
74 | } |
---|
75 | |
---|
76 | /****************************************************************************/ |
---|
77 | /* void dmadd( double **a, int a_rows, int a_cols, double **b, double **y) |
---|
78 | |
---|
79 | Purpose: |
---|
80 | add two matrices a, b, result in y. y can be same as a or b |
---|
81 | |
---|
82 | |
---|
83 | ****************************************************************************/ |
---|
84 | void dmadd( double **a, int a_rows, int a_cols, double **b, double **y) |
---|
85 | { |
---|
86 | int i, j; |
---|
87 | |
---|
88 | #ifdef V_CHECK |
---|
89 | if ( !valid_dmatrix_b( a ) ) |
---|
90 | nrerror("Invalid 1st matrix: dmadd\n"); |
---|
91 | if ( !valid_dmatrix_b( b ) ) |
---|
92 | nrerror("Invalid 2nd matrix: dmadd\n"); |
---|
93 | if ( !valid_dmatrix_b( y ) ) |
---|
94 | nrerror("Invalid result matrix: dmadd\n"); |
---|
95 | #endif |
---|
96 | |
---|
97 | for ( i=1; i<=a_rows; i++ ) |
---|
98 | for ( j=1; j<=a_cols; j++ ) { |
---|
99 | y[i][j] = a[i][j] + b[i][j]; |
---|
100 | } |
---|
101 | } |
---|
102 | |
---|
103 | /****************************************************************************/ |
---|
104 | /* void dmsmy( double **a, int a_rows, int a_cols, double r, double **y) |
---|
105 | |
---|
106 | Purpose: |
---|
107 | multiply a by scalar r, result in y. y can be same as a |
---|
108 | |
---|
109 | |
---|
110 | ****************************************************************************/ |
---|
111 | void dmsmy( double **a, int a_rows, int a_cols, double r, double **y) |
---|
112 | { |
---|
113 | int i, j; |
---|
114 | |
---|
115 | #ifdef V_CHECK |
---|
116 | if ( !valid_dmatrix_b( a ) ) |
---|
117 | nrerror("Invalid 1st matrix: dmsmy\n"); |
---|
118 | if ( !valid_dmatrix_b( y ) ) |
---|
119 | nrerror("Invalid result matrix: dmsmy\n"); |
---|
120 | #endif |
---|
121 | |
---|
122 | for ( i=1; i<=a_rows; i++ ) |
---|
123 | for ( j=1; j<=a_cols; j++ ) { |
---|
124 | y[i][j] = a[i][j] * r; |
---|
125 | } |
---|
126 | } |
---|
127 | |
---|
128 | /****************************************************************************/ |
---|
129 | /* void dmsub( double **a, int a_rows, int a_cols, double **b, double **y) |
---|
130 | |
---|
131 | Purpose: |
---|
132 | subtract two matrices a, b, result in y. y can be same as a or b |
---|
133 | |
---|
134 | |
---|
135 | ****************************************************************************/ |
---|
136 | void dmsub( double **a, int a_rows, int a_cols, double **b, double **y) |
---|
137 | { |
---|
138 | int i, j; |
---|
139 | |
---|
140 | #ifdef V_CHECK |
---|
141 | if ( !valid_dmatrix_b( a ) ) |
---|
142 | nrerror("Invalid 1st matrix: dmsub\n"); |
---|
143 | if ( !valid_dmatrix_b( b ) ) |
---|
144 | nrerror("Invalid 2nd matrix: dmsub\n"); |
---|
145 | if ( !valid_dmatrix_b( y ) ) |
---|
146 | nrerror("Invalid result matrix: dmsub\n"); |
---|
147 | #endif |
---|
148 | |
---|
149 | for ( i=1; i<=a_rows; i++ ) |
---|
150 | for ( j=1; j<=a_cols; j++ ) { |
---|
151 | y[i][j] = a[i][j] - b[i][j]; |
---|
152 | } |
---|
153 | } |
---|
154 | |
---|
155 | void dmtranspose( double **a, int a_rows, int a_cols, double **y) |
---|
156 | /* transpose matrix a, result in y. y must not be same as a */ |
---|
157 | { |
---|
158 | int i, j; |
---|
159 | |
---|
160 | #ifdef V_CHECK |
---|
161 | if ( !valid_dmatrix_b( a ) ) |
---|
162 | nrerror("Invalid 1st matrix: dmtranspose\n"); |
---|
163 | if ( !valid_dmatrix_b( y ) ) |
---|
164 | nrerror("Invalid result matrix: dmtranspose\n"); |
---|
165 | #endif |
---|
166 | |
---|
167 | for ( i=1; i<=a_rows; i++ ) |
---|
168 | for ( j=1; j<=a_cols; j++ ) { |
---|
169 | y[j][i] = a[i][j]; |
---|
170 | } |
---|
171 | } |
---|
172 | |
---|
173 | void dmfillUT( double **a, int a_rows, int a_cols) |
---|
174 | /* fill upper half of a (square) (lower triangular form) to make a symmetric |
---|
175 | if not square, will do the best possible */ |
---|
176 | { |
---|
177 | int i, j; |
---|
178 | |
---|
179 | #ifdef V_CHECK |
---|
180 | if ( !valid_dmatrix_b( a ) ) |
---|
181 | nrerror("Invalid 1st matrix: dmfillUT\n"); |
---|
182 | #endif |
---|
183 | |
---|
184 | for ( i=1; i<=a_rows; i++ ) |
---|
185 | for ( j=i; j<=a_cols; j++ ) { |
---|
186 | a[j][i] = a[i][j]; |
---|
187 | } |
---|
188 | } |
---|
189 | |
---|
190 | |
---|
191 | |
---|
192 | |
---|
193 | void dmdump( FILE *outf, char *text, double **a, int a_rows, int a_cols, char *format) |
---|
194 | { |
---|
195 | int i, j, k; |
---|
196 | |
---|
197 | #ifdef V_CHECK |
---|
198 | if ( !valid_dmatrix_b( a ) ) |
---|
199 | nrerror("Invalid matrix: dmdump\n"); |
---|
200 | #endif |
---|
201 | |
---|
202 | fprintf( outf, "%s", text); |
---|
203 | for ( i=1; i<=a_rows; i++ ) { |
---|
204 | fprintf( outf, "\n [%d][1]:", i); |
---|
205 | k=0; |
---|
206 | for ( j=1; j<=a_cols; j++ ) { |
---|
207 | fprintf( outf, format, a[i][j]); |
---|
208 | k = (k+1)%6; |
---|
209 | if ( (k == 0) && (j<a_cols) )fprintf(outf, "\n "); |
---|
210 | } |
---|
211 | } |
---|
212 | fprintf( outf, "\n"); |
---|
213 | } |
---|
214 | |
---|
215 | void dWriteMatrix( FILE *outf, char *text, double **a, int a_rows, int a_cols, char *format) |
---|
216 | { |
---|
217 | int i, j; |
---|
218 | |
---|
219 | #ifdef V_CHECK |
---|
220 | if ( !valid_dmatrix_b( a ) ) |
---|
221 | nrerror("Invalid matrix: dmdump\n"); |
---|
222 | #endif |
---|
223 | fprintf( outf, "* %s", text); |
---|
224 | fprintf( outf, "\nM %d %d", a_rows, a_cols ); |
---|
225 | for ( i=1; i<=a_rows; i++ ) { |
---|
226 | fprintf( outf, "\n"); |
---|
227 | for ( j=1; j<=a_cols; j++ ) { |
---|
228 | fprintf( outf, format, a[i][j]); |
---|
229 | } |
---|
230 | } |
---|
231 | fprintf( outf, "\n"); |
---|
232 | } |
---|
233 | |
---|
234 | void dvdump( FILE *outf, char *text, double *a, int a_els, char *format) |
---|
235 | { |
---|
236 | int j, k; |
---|
237 | |
---|
238 | if ( !valid_dvector_b( a ) ) { |
---|
239 | fprintf( stderr, "%s: Invalid pointer to vector\n", text); |
---|
240 | return; |
---|
241 | } |
---|
242 | fprintf( outf, "%s\n", text); |
---|
243 | k = 0; |
---|
244 | for ( j=1; j<=a_els; j++ ) { |
---|
245 | fprintf( outf, format, a[j]); |
---|
246 | k = (k+1)%6; |
---|
247 | if ( k == 0 )fprintf( outf, "\n"); |
---|
248 | } |
---|
249 | fprintf( outf, "\n"); |
---|
250 | } |
---|
251 | |
---|
252 | void dWriteVector( FILE *outf, char *text, double *a, int a_els, char *format) |
---|
253 | { |
---|
254 | int j; |
---|
255 | |
---|
256 | if ( !valid_dvector_b( a ) ) { |
---|
257 | fprintf( stderr, "%s: Invalid pointer to vector\n", text); |
---|
258 | return; |
---|
259 | } |
---|
260 | fprintf( outf, "* %s\n", text); |
---|
261 | fprintf( outf, "V %d\n", a_els); |
---|
262 | for ( j=1; j<=a_els; j++ ) { |
---|
263 | fprintf( outf, format, a[j]); |
---|
264 | } |
---|
265 | fprintf( outf, "\n"); |
---|
266 | } |
---|
267 | |
---|
268 | void dWriteScalar( FILE *outf, char *text, double a, char *format) |
---|
269 | { |
---|
270 | int j, k; |
---|
271 | |
---|
272 | fprintf( outf, "* %s\n", text); |
---|
273 | fprintf( outf, "S "); |
---|
274 | fprintf( outf, format, a); |
---|
275 | fprintf( outf, "\n"); |
---|
276 | } |
---|
277 | |
---|
278 | void dvadd( double *a, int a_els, double *b, double *y) |
---|
279 | { |
---|
280 | int j; |
---|
281 | |
---|
282 | #ifdef V_CHECK |
---|
283 | if ( !valid_dvector_b( a ) ) |
---|
284 | nrerror("Null pointer to 1st vector: dvadd"); |
---|
285 | if ( !valid_dvector_b( b ) ) |
---|
286 | nrerror("Null pointer to 2nd vector: dvadd"); |
---|
287 | if ( !valid_dvector_b( y ) ) |
---|
288 | nrerror("Null pointer to result vector: dvadd"); |
---|
289 | #endif |
---|
290 | for ( j=1; j<=a_els; j++ ) { |
---|
291 | y[j] = a[j] + b[j]; |
---|
292 | } |
---|
293 | } |
---|
294 | |
---|
295 | void dvsub( double *a, int a_els, double *b, double *y) |
---|
296 | { |
---|
297 | int j; |
---|
298 | |
---|
299 | #ifdef V_CHECK |
---|
300 | if ( !valid_dvector_b( a ) ) |
---|
301 | nrerror("Null pointer to 1st vector: dvsub"); |
---|
302 | if ( !valid_dvector_b( b ) ) |
---|
303 | nrerror("Null pointer to 2nd vector: dvsub"); |
---|
304 | if ( !valid_dvector_b( y ) ) |
---|
305 | nrerror("Null pointer to result vector: dvsub"); |
---|
306 | #endif |
---|
307 | |
---|
308 | for ( j=1; j<=a_els; j++ ) { |
---|
309 | y[j] = a[j] - b[j]; |
---|
310 | } |
---|
311 | } |
---|
312 | |
---|
313 | double dvdot( double *a, int a_els, double *b) |
---|
314 | { |
---|
315 | int j; |
---|
316 | double y; |
---|
317 | |
---|
318 | #ifdef V_CHECK |
---|
319 | if ( !valid_dvector_b( a ) ) |
---|
320 | nrerror("Null pointer to 1st vector: dvdot"); |
---|
321 | if ( !valid_dvector_b( b ) ) |
---|
322 | nrerror("Null pointer to 2nd vector: dvdot"); |
---|
323 | #endif |
---|
324 | |
---|
325 | y = 0.0; |
---|
326 | for ( j=1; j<=a_els; j++ ) { |
---|
327 | y += a[j] * b[j]; |
---|
328 | } |
---|
329 | return(y); |
---|
330 | } |
---|
331 | |
---|
332 | #define TINY 1.0E-20 |
---|
333 | double dvmag( double *a, int a_els) |
---|
334 | { |
---|
335 | int j; |
---|
336 | double y; |
---|
337 | |
---|
338 | #ifdef V_CHECK |
---|
339 | if ( !valid_dvector_b( a ) ) |
---|
340 | nrerror("Null pointer to vector: dvmag"); |
---|
341 | #endif |
---|
342 | |
---|
343 | y = 0.0; |
---|
344 | for ( j=1; j<=a_els; j++ ) { |
---|
345 | y += a[j] * a[j]; |
---|
346 | } |
---|
347 | if ( y > TINY ) y = sqrt( y ); |
---|
348 | return(y); |
---|
349 | } |
---|
350 | |
---|
351 | double dvmnorm( double *a, int a_els) |
---|
352 | { |
---|
353 | int j; |
---|
354 | double y; |
---|
355 | |
---|
356 | #ifdef V_CHECK |
---|
357 | if ( !valid_dvector_b( a ) ) |
---|
358 | nrerror("Null pointer to vector: dvmnorm"); |
---|
359 | #endif |
---|
360 | |
---|
361 | y = 0.0; |
---|
362 | for ( j=1; j<=a_els; j++ ) { |
---|
363 | y += a[j] * a[j]; |
---|
364 | } |
---|
365 | if ( y > TINY ) { |
---|
366 | y = sqrt( y ); |
---|
367 | for ( j=1; j<=a_els; j++ ) { |
---|
368 | a[j] = a[j]/y; |
---|
369 | } |
---|
370 | } |
---|
371 | return(y); |
---|
372 | } |
---|
373 | #undef TINY |
---|
374 | |
---|
375 | void dvsmy( double *a, int a_els, double r, double *y) |
---|
376 | { |
---|
377 | int j; |
---|
378 | |
---|
379 | #ifdef V_CHECK |
---|
380 | if ( !valid_dvector_b( a ) ) |
---|
381 | nrerror("Null pointer to 1st vector: dvsmy"); |
---|
382 | if ( !valid_dvector_b( y ) ) |
---|
383 | nrerror("Null pointer to result vector: dvsmy"); |
---|
384 | #endif |
---|
385 | |
---|
386 | for ( j=1; j<=a_els; j++ ) { |
---|
387 | y[j] = a[j] * r; |
---|
388 | } |
---|
389 | } |
---|
390 | |
---|
391 | void dvpiv( double *a, int a_els, double r, double *b, double *y) |
---|
392 | { |
---|
393 | int j; |
---|
394 | |
---|
395 | #ifdef V_CHECK |
---|
396 | if ( !valid_dvector_b( a ) ) |
---|
397 | nrerror("Null pointer to 1st vector: dvpiv"); |
---|
398 | if ( !valid_dvector_b( b ) ) |
---|
399 | nrerror("Null pointer to 2nd vector: dvpiv"); |
---|
400 | if ( !valid_dvector_b( y ) ) |
---|
401 | nrerror("Null pointer to result vector: dvpiv"); |
---|
402 | #endif |
---|
403 | |
---|
404 | for ( j=1; j<=a_els; j++ ) { |
---|
405 | y[j] = a[j] * r + b[j]; |
---|
406 | } |
---|
407 | } |
---|
408 | |
---|
409 | /*-------------------------------------------------------------------- |
---|
410 | Function for reading in a matrix or vector from a data file |
---|
411 | Format: |
---|
412 | Line 1: M nrow {ncol} |
---|
413 | Line 2: ncol real values |
---|
414 | .. |
---|
415 | .. |
---|
416 | Line 1+nrow: ncol real values |
---|
417 | |
---|
418 | */ |
---|
419 | #define BUF 1000 |
---|
420 | |
---|
421 | |
---|
422 | void dReadMatrix(FILE *datafile, double **y, int *rows, int *cols, int *error) |
---|
423 | /* read a matrix (NR type) */ |
---|
424 | { |
---|
425 | char line[BUF+2], *token; |
---|
426 | int i, j, row, col, nrow, ncol, found, completed; |
---|
427 | double r; |
---|
428 | char *fgr; |
---|
429 | |
---|
430 | *error = 0; |
---|
431 | nrow = 0; |
---|
432 | ncol = 0; |
---|
433 | completed = 0; |
---|
434 | found = 0; |
---|
435 | |
---|
436 | #ifdef V_CHECK |
---|
437 | if ( !valid_dmatrix_b( y ) ) |
---|
438 | nrerror("Invalid matrix: dReadMatrix\n"); |
---|
439 | #endif |
---|
440 | |
---|
441 | if (datafile == NULL) { |
---|
442 | fprintf(stderr,"ReadMatrix: data file not open\n"); |
---|
443 | *error = 1; |
---|
444 | return; |
---|
445 | } |
---|
446 | row = 1; |
---|
447 | while ((fgr = fgets(line, BUF, datafile)) != NULL && !found) { |
---|
448 | if ( strncmp(line, "M", 1) == 0) { |
---|
449 | found = 1; |
---|
450 | } |
---|
451 | if ( found ) { |
---|
452 | /* fprintf(stderr,"ReadMatrix: %s",line); */ |
---|
453 | token = strtok(line, " ,\t\n"); |
---|
454 | token = strtok(NULL, " ,\t\n"); /* skip the 'M' */ |
---|
455 | if (token != NULL) { |
---|
456 | nrow = atoi(token); |
---|
457 | token = strtok(NULL, " ,\t\n"); |
---|
458 | if (token != NULL) { |
---|
459 | ncol = atoi(token); |
---|
460 | } |
---|
461 | else { |
---|
462 | ncol = 1; /* presume column matrix */ |
---|
463 | } |
---|
464 | } |
---|
465 | else { |
---|
466 | fprintf(stderr,"ReadMatrix: Could not read *rows* in data"); |
---|
467 | *error = 2; |
---|
468 | } |
---|
469 | } |
---|
470 | |
---|
471 | } |
---|
472 | if ( !found ) { |
---|
473 | fprintf(stderr,"ReadMatrix: M for matrix not found!\n"); |
---|
474 | *error = 3; |
---|
475 | exit(1); |
---|
476 | } |
---|
477 | |
---|
478 | while (fgr != NULL && !completed) { |
---|
479 | if (strlen(line) == 0 || |
---|
480 | strncmp(line, "*", 1) == 0 || |
---|
481 | strncmp(line, "\n", 1) == 0) { |
---|
482 | ; /* Blank line or comment */ |
---|
483 | } |
---|
484 | else { /* read in the data */ |
---|
485 | |
---|
486 | if (row <= nrow && *error == 0) { |
---|
487 | token = strtok(line, " ,\t\n"); |
---|
488 | i = 1; |
---|
489 | while (token != NULL && i <= ncol) { |
---|
490 | sscanf(token, "%lf", &r); |
---|
491 | y[row][i] = r; |
---|
492 | /* printf("%s=y[%d][%d]: %lf\n",token,row,i,r); */ |
---|
493 | token = strtok(NULL, " ,\t\n"); |
---|
494 | i++; |
---|
495 | } |
---|
496 | /* getchar(); */ |
---|
497 | if ( row == nrow ) { |
---|
498 | *rows = nrow; |
---|
499 | *cols = ncol; |
---|
500 | return; |
---|
501 | } |
---|
502 | row++; |
---|
503 | } |
---|
504 | } /* not a comment */ |
---|
505 | fgr = fgets(line, BUF, datafile); |
---|
506 | } /* while not EOF */ |
---|
507 | if ( !completed ) { |
---|
508 | fprintf(stderr,"ReadMatrix: more data expected!\n"); |
---|
509 | *error = 4; |
---|
510 | return; |
---|
511 | } |
---|
512 | } |
---|
513 | |
---|
514 | /*-------------------------------------------------------------------- |
---|
515 | Function for reading in a vector from a data file |
---|
516 | Format: |
---|
517 | Line 1: V nels |
---|
518 | Line 2: nels real values |
---|
519 | */ |
---|
520 | void dReadVector(FILE *datafile, double *y, int *els, int *error) |
---|
521 | /* read a vector (NR type) */ |
---|
522 | { |
---|
523 | char line[BUF+2], *token; |
---|
524 | int i, j, nels, completed, found; |
---|
525 | double r; |
---|
526 | char *fgr; |
---|
527 | |
---|
528 | *error = 0; |
---|
529 | nels = 0; |
---|
530 | completed = 0; |
---|
531 | found = 0; |
---|
532 | |
---|
533 | if (datafile == NULL) { |
---|
534 | fprintf(stderr,"ReadVector: data file not open\n"); |
---|
535 | *error = 1; |
---|
536 | return; |
---|
537 | } |
---|
538 | while ((fgr = fgets(line, BUF, datafile)) != NULL && !found) { |
---|
539 | if ( strncmp(line, "V", 1) == 0) { |
---|
540 | found = 1; |
---|
541 | } |
---|
542 | if ( found ) { |
---|
543 | /* fprintf(stderr,"ReadVector:%s",line); */ |
---|
544 | token = strtok(line, " ,\t\n"); |
---|
545 | token = strtok(NULL, " ,\t\n"); /* skip the 'V' */ |
---|
546 | if (token != NULL) { |
---|
547 | nels = atoi(token); |
---|
548 | } |
---|
549 | else { |
---|
550 | fprintf(stderr,"ReadVector: Could not read *nels* in data"); |
---|
551 | *error = 2; |
---|
552 | exit(1); |
---|
553 | } |
---|
554 | } |
---|
555 | } |
---|
556 | if ( !found ) { |
---|
557 | fprintf(stderr,"ReadVector: V for Vector not found!\n"); |
---|
558 | *error = 3; |
---|
559 | exit(1); |
---|
560 | } |
---|
561 | |
---|
562 | while (fgr != NULL && !completed) { |
---|
563 | |
---|
564 | if (strlen(line) == 0 || |
---|
565 | strncmp(line, "*", 1) == 0 || |
---|
566 | strncmp(line, "\n", 1) == 0) { |
---|
567 | ; /* Blank line or comment */ |
---|
568 | } |
---|
569 | else { /* read in the data */ |
---|
570 | if (*error == 0) { |
---|
571 | token = strtok(line, " ,\t\n"); |
---|
572 | i = 1; |
---|
573 | while (token != NULL && i <= nels) { |
---|
574 | sscanf(token, "%lf", &r); |
---|
575 | y[i] = r; |
---|
576 | /* printf("%s=y[%d]: %lf\n",token,i,r); */ |
---|
577 | token = strtok(NULL, " ,\t\n"); |
---|
578 | i++; |
---|
579 | } |
---|
580 | if ( i > nels ) { |
---|
581 | *els = nels; |
---|
582 | return; |
---|
583 | } |
---|
584 | /* getchar(); */ |
---|
585 | } |
---|
586 | } /* not a comment */ |
---|
587 | fgr = fgets(line, BUF, datafile); |
---|
588 | } /* while not EOF */ |
---|
589 | if ( !completed ) { |
---|
590 | fprintf(stderr,"ReadVector: more data expected!\n"); |
---|
591 | *error = 5; |
---|
592 | return; |
---|
593 | } |
---|
594 | } |
---|
595 | |
---|
596 | /*-------------------------------------------------------------------- |
---|
597 | Function for reading in a scalar from a data file |
---|
598 | Format: |
---|
599 | Line 1: S value |
---|
600 | */ |
---|
601 | double dReadScalar(FILE *datafile, int *error) |
---|
602 | { |
---|
603 | char line[BUF+2], *token; |
---|
604 | int i, found; |
---|
605 | double r; |
---|
606 | |
---|
607 | *error = 0; |
---|
608 | found = 0; |
---|
609 | |
---|
610 | if (datafile == NULL) { |
---|
611 | fprintf(stderr,"ReadScalar: data file not open\n"); |
---|
612 | *error = -1; |
---|
613 | return(0.0); |
---|
614 | } |
---|
615 | while (fgets(line, BUF, datafile) != NULL && !found) { |
---|
616 | if ( strncmp(line, "S", 1) == 0) { |
---|
617 | found = 1; |
---|
618 | } |
---|
619 | if ( found ) { |
---|
620 | /* fprintf(stderr,"ReadScalar: %s",line); */ |
---|
621 | token = strtok(line, " ,\t\n"); |
---|
622 | token = strtok(NULL, " ,\t\n"); /* skip the 'S' */ |
---|
623 | if (token != NULL) { |
---|
624 | r = atof(token); |
---|
625 | } |
---|
626 | else { |
---|
627 | fprintf(stderr,"ReadScalar: Could not read scalar in data"); |
---|
628 | *error = -2; |
---|
629 | exit(1); |
---|
630 | } |
---|
631 | } |
---|
632 | } |
---|
633 | if ( !found ) { |
---|
634 | fprintf(stderr,"ReadVector: S for Scalar not found!\n"); |
---|
635 | *error = 10; |
---|
636 | exit(1); |
---|
637 | } |
---|
638 | return(r); |
---|
639 | } |
---|
640 | |
---|
641 | |
---|
642 | /****************************************************************************/ |
---|
643 | /* void identity_mat(const int n, double** A) |
---|
644 | |
---|
645 | Purpose: |
---|
646 | copy matrix a to matrix b |
---|
647 | |
---|
648 | |
---|
649 | ****************************************************************************/ |
---|
650 | void dmcopy( double **a, int a_rows, int a_cols, double **b) |
---|
651 | { |
---|
652 | int i, j; |
---|
653 | |
---|
654 | #ifdef V_CHECK |
---|
655 | if ( !valid_dmatrix_b( a ) ) |
---|
656 | nrerror("Invalid matrix: dmcopy\n"); |
---|
657 | if ( !valid_dmatrix_b( b ) ) |
---|
658 | nrerror("Invalid destination matrix: dmcopy\n"); |
---|
659 | #endif |
---|
660 | |
---|
661 | for ( i=1; i<=a_rows; i++ ) |
---|
662 | for ( j=1; j<=a_cols; j++ ) b[i][j] = a[i][j]; |
---|
663 | } |
---|
664 | |
---|
665 | void dvcopy( double *a, int a_els, double *y) /* copy a vector */ |
---|
666 | { |
---|
667 | int i; |
---|
668 | |
---|
669 | #ifdef V_CHECK |
---|
670 | if ( !valid_dvector_b( a ) ) |
---|
671 | nrerror("Null pointer to 1st vector: dvcopy"); |
---|
672 | if ( !valid_dvector_b( y ) ) |
---|
673 | nrerror("Null pointer to 2nd vector: dvcopy"); |
---|
674 | #endif |
---|
675 | |
---|
676 | for ( i=1; i<=a_els; i++ ) y[i] = a[i]; |
---|
677 | } |
---|
678 | |
---|
679 | double dvcomp( double *a, int a_els, double *b) /* compare two vectors */ |
---|
680 | { |
---|
681 | int i; |
---|
682 | double ma, mb, da, sa, ra; |
---|
683 | |
---|
684 | #ifdef V_CHECK |
---|
685 | if ( !valid_dvector_b( a ) ) |
---|
686 | nrerror("Null pointer to 1st vector: dvcomp"); |
---|
687 | if ( !valid_dvector_b( b ) ) |
---|
688 | nrerror("Null pointer to 2nd vector: dvcomp"); |
---|
689 | #endif |
---|
690 | |
---|
691 | ma = dvmag( a, a_els ); |
---|
692 | mb = dvmag( b, a_els ); |
---|
693 | da = 0.0; |
---|
694 | for (i=1; i<=a_els; i++) da += DSQR(a[i] - b[i]); |
---|
695 | sa = sqrt( ma*mb ); |
---|
696 | da = sqrt( da ); |
---|
697 | if ( ma > mb ) ra = 1.0 - mb/ma; |
---|
698 | else ra = 1.0 - ma/mb; |
---|
699 | /* printf("Mag rat %lf ", ra); */ |
---|
700 | if ((da = da/sa) > ra ) ra = da; |
---|
701 | /* printf("diff %lf ", da); */ |
---|
702 | return(ra); |
---|
703 | } |
---|
704 | |
---|
705 | void dgetcolumn(double **G, int col, double *v, int nels) /* get a column from a matrix */ |
---|
706 | { |
---|
707 | int i; |
---|
708 | |
---|
709 | #ifdef V_CHECK |
---|
710 | if ( !valid_dmatrix_b( G ) ) |
---|
711 | nrerror("Invalid matrix: dgetcolumn\n"); |
---|
712 | if ( !valid_dvector_b( v ) ) |
---|
713 | nrerror("Null pointer to vector: dgetcolumn"); |
---|
714 | #endif |
---|
715 | |
---|
716 | for ( i=1; i<=nels; i++ ) v[i] = G[i][col]; |
---|
717 | } |
---|
718 | |
---|
719 | void dputcolumn(double *v, int nels, double **G, int col) /* put a column into a matrix */ |
---|
720 | { |
---|
721 | int i; |
---|
722 | |
---|
723 | #ifdef V_CHECK |
---|
724 | if ( !valid_dmatrix_b( G ) ) |
---|
725 | nrerror("Invalid matrix: dputcolumn\n"); |
---|
726 | if ( !valid_dvector_b( v ) ) |
---|
727 | nrerror("Null pointer to vector: dputcolumn"); |
---|
728 | #endif |
---|
729 | |
---|
730 | for ( i=1; i<=nels; i++ ) G[i][col] = v[i]; |
---|
731 | } |
---|
732 | |
---|
733 | |
---|
734 | |
---|
735 | #ifdef TEST |
---|
736 | main() |
---|
737 | { |
---|
738 | /* test program for above utility routines */ |
---|
739 | |
---|
740 | double **a, **b, **c, **bT; |
---|
741 | double *x, *y, *z; |
---|
742 | FILE *infile, *outfile; |
---|
743 | int a_rows, a_cols, b_rows, b_cols, errors, xn, yn; |
---|
744 | |
---|
745 | infile = fopen("mat.in", "r"); |
---|
746 | outfile = fopen("mat.dat", "w"); |
---|
747 | |
---|
748 | a = dReadMatrix( infile, &a_rows, &a_cols, &errors); |
---|
749 | b = dReadMatrix( infile, &b_rows, &b_cols, &errors); |
---|
750 | x = dReadVector( infile, &xn, &errors); |
---|
751 | y = dReadVector( infile, &yn, &errors); |
---|
752 | getchar(); |
---|
753 | |
---|
754 | dmdump( stdout, "Matrix A", a, a_rows, a_cols, "%8.2lf"); |
---|
755 | dmdump( stdout, "Matrix B", b, b_rows, b_cols, "%8.2lf"); |
---|
756 | dvdump( stdout, "Vector x", x, xn, "%8.2lf"); |
---|
757 | dvdump( stdout, "Vector y", y, yn, "%8.2lf"); |
---|
758 | z = dvector( 1, xn ); |
---|
759 | dvadd( x, xn, y, z ); |
---|
760 | dvdump( stdout, "x + y", z, xn, "%8.2lf"); |
---|
761 | dvsub( x, xn, y, z ); |
---|
762 | dvdump( stdout, "x - y", z, xn, "%8.2lf"); |
---|
763 | dvsmy( x, xn, 2.0, z ); |
---|
764 | dvdump( stdout, "2x", z, xn, "%8.2lf"); |
---|
765 | printf("Magnitude of 2x: %7.2lf\n", dvmag( z, xn )); |
---|
766 | printf("dot product x.y: %7.2lf\n", dvdot( x, xn, y)); |
---|
767 | |
---|
768 | dmvmult( a, a_rows, a_cols, x, xn, z ); |
---|
769 | dvdump( stdout, "Ax", z, xn, "%8.2lf"); |
---|
770 | |
---|
771 | c = dmatrix( 1, a_rows, 1, b_cols ); |
---|
772 | bT = dmatrix( 1, b_cols, 1, b_rows ); |
---|
773 | dmtranspose( b, b_rows, b_cols, bT); |
---|
774 | dmdump( stdout, "Matrix B (transposed)", bT, b_cols, b_rows, "%8.2lf"); |
---|
775 | dmmult( a, a_rows, a_cols, bT, b_cols, b_rows, c); |
---|
776 | dmdump( stdout, "Matrix AB", c, a_rows, b_rows, "%8.2lf"); |
---|
777 | |
---|
778 | /* dmfillUT( a, a_rows, a_cols ); |
---|
779 | dmdump( stdout, "Symmetrified matrix A", a, a_rows, a_cols, "%8.2lf"); */ |
---|
780 | |
---|
781 | free_dmatrix( a, 1, a_rows, 1, a_cols); |
---|
782 | free_dmatrix( b, 1, b_rows, 1, b_cols); |
---|
783 | free_dmatrix( c, 1, a_rows, 1, b_cols); |
---|
784 | free_dvector( x, 1, xn ); |
---|
785 | free_dvector( y, 1, yn ); |
---|
786 | } |
---|
787 | #endif |
---|