| 1 | /*<html><pre> -<a href="index.htm#TOC"
|
|---|
| 2 | >-------------------------------</a><a name="TOP">-</a>
|
|---|
| 3 |
|
|---|
| 4 | rboxlib.c
|
|---|
| 5 | Generate input points
|
|---|
| 6 |
|
|---|
| 7 | notes:
|
|---|
| 8 | For documentation, see prompt[] of rbox.c
|
|---|
| 9 | 50 points generated for 'rbox D4'
|
|---|
| 10 |
|
|---|
| 11 | WARNING:
|
|---|
| 12 | incorrect range if qh_RANDOMmax is defined wrong (user.h)
|
|---|
| 13 | */
|
|---|
| 14 |
|
|---|
| 15 | #include "random.h"
|
|---|
| 16 | #include "libqhull.h"
|
|---|
| 17 |
|
|---|
| 18 | #include <ctype.h>
|
|---|
| 19 | #include <limits.h>
|
|---|
| 20 | #include <math.h>
|
|---|
| 21 | #include <setjmp.h>
|
|---|
| 22 | #include <string.h>
|
|---|
| 23 | #include <time.h>
|
|---|
| 24 | #include <stdio.h>
|
|---|
| 25 | #include <stdlib.h>
|
|---|
| 26 |
|
|---|
| 27 | #ifdef _MSC_VER /* Microsoft Visual C++ */
|
|---|
| 28 | #pragma warning( disable : 4706) /* assignment within conditional expression. */
|
|---|
| 29 | #pragma warning( disable : 4996) /* this function (strncat,sprintf,strcpy) or variable may be unsafe. */
|
|---|
| 30 | #endif
|
|---|
| 31 |
|
|---|
| 32 | #define MAXdim 200
|
|---|
| 33 | #define PI 3.1415926535897932384
|
|---|
| 34 |
|
|---|
| 35 | /* ------------------------------ prototypes ----------------*/
|
|---|
| 36 | int roundi( double a);
|
|---|
| 37 | void out1( double a);
|
|---|
| 38 | void out2n( double a, double b);
|
|---|
| 39 | void out3n( double a, double b, double c);
|
|---|
| 40 |
|
|---|
| 41 | void qh_fprintf_rbox(FILE *fp, int msgcode, const char *fmt, ... );
|
|---|
| 42 | void qh_free(void *mem);
|
|---|
| 43 | void *qh_malloc(size_t size);
|
|---|
| 44 | int qh_rand( void);
|
|---|
| 45 | void qh_srand( int seed);
|
|---|
| 46 |
|
|---|
| 47 |
|
|---|
| 48 | /* ------------------------------ globals -------------------*/
|
|---|
| 49 |
|
|---|
| 50 | /* No state is carried between rbox requests */
|
|---|
| 51 | typedef struct rboxT rboxT;
|
|---|
| 52 | struct rboxT {
|
|---|
| 53 | FILE *fout;
|
|---|
| 54 | FILE *ferr;
|
|---|
| 55 | int isinteger;
|
|---|
| 56 | double out_offset;
|
|---|
| 57 | jmp_buf errexit; /* exit label for rboxpoints, defined by setjmp(), called by qh_errexit_rbox() */
|
|---|
| 58 | };
|
|---|
| 59 |
|
|---|
| 60 |
|
|---|
| 61 | int rbox_inuse= 0;
|
|---|
| 62 | rboxT rbox;
|
|---|
| 63 |
|
|---|
| 64 | /*-<a href="qh-qhull.htm#TOC"
|
|---|
| 65 | >-------------------------------</a><a name="rboxpoints">-</a>
|
|---|
| 66 |
|
|---|
| 67 | qh_rboxpoints( fout, ferr, rbox_command )
|
|---|
| 68 | Generate points to fout according to rbox options
|
|---|
| 69 | Report errors on ferr
|
|---|
| 70 |
|
|---|
| 71 | returns:
|
|---|
| 72 | 0 (qh_ERRnone) on success
|
|---|
| 73 | 1 (qh_ERRinput) on input error
|
|---|
| 74 | 4 (qh_ERRmem) on memory error
|
|---|
| 75 | 5 (qh_ERRqhull) on internal error
|
|---|
| 76 |
|
|---|
| 77 | notes:
|
|---|
| 78 | To avoid stdio, redefine qh_malloc, qh_free, and qh_fprintf_rbox (user.c)
|
|---|
| 79 | Rbox is not multithreaded.
|
|---|
| 80 |
|
|---|
| 81 | design:
|
|---|
| 82 | Straight line code (consider defining a struct and functions):
|
|---|
| 83 |
|
|---|
| 84 | Parse arguments into variables
|
|---|
| 85 | Determine the number of points
|
|---|
| 86 | Generate the points
|
|---|
| 87 | */
|
|---|
| 88 | int qh_rboxpoints(FILE* fout, FILE* ferr, char* rbox_command) {
|
|---|
| 89 | int i,j,k;
|
|---|
| 90 | int gendim;
|
|---|
| 91 | int cubesize, diamondsize, seed=0, count, apex;
|
|---|
| 92 | int dim=3 , numpoints= 0, totpoints, addpoints=0;
|
|---|
| 93 | int issphere=0, isaxis=0, iscdd= 0, islens= 0, isregular=0, iswidth=0, addcube=0;
|
|---|
| 94 | int isgap=0, isspiral=0, NOcommand= 0, adddiamond=0;
|
|---|
| 95 | int israndom=0, istime=0;
|
|---|
| 96 | int isbox=0, issimplex=0, issimplex2=0, ismesh=0;
|
|---|
| 97 | double width=0.0, gap=0.0, radius= 0.0;
|
|---|
| 98 | double coord[MAXdim], offset, meshm=3.0, meshn=4.0, meshr=5.0;
|
|---|
| 99 | double *simplex= NULL, *simplexp;
|
|---|
| 100 | int nthroot, mult[MAXdim];
|
|---|
| 101 | double norm, factor, randr, rangap, lensangle= 0, lensbase= 1;
|
|---|
| 102 | double anglediff, angle, x, y, cube= 0.0, diamond= 0.0;
|
|---|
| 103 | double box= qh_DEFAULTbox; /* scale all numbers before output */
|
|---|
| 104 | double randmax= qh_RANDOMmax;
|
|---|
| 105 | char command[200], seedbuf[200];
|
|---|
| 106 | char *s= command, *t, *first_point= NULL;
|
|---|
| 107 | time_t timedata;
|
|---|
| 108 | int exitcode;
|
|---|
| 109 |
|
|---|
| 110 | if (rbox_inuse) {
|
|---|
| 111 | qh_fprintf_rbox(rbox.ferr, 6188, "rbox error: rbox in use by another process. Please lock calls to rbox.\n");
|
|---|
| 112 | return qh_ERRqhull;
|
|---|
| 113 | }
|
|---|
| 114 | rbox_inuse= True;
|
|---|
| 115 | rbox.ferr= ferr;
|
|---|
| 116 | rbox.fout= fout;
|
|---|
| 117 |
|
|---|
| 118 | exitcode= setjmp(rbox.errexit);
|
|---|
| 119 | if (exitcode) {
|
|---|
| 120 | /* same code for error exit and normal return */
|
|---|
| 121 | if (simplex)
|
|---|
| 122 | qh_free(simplex);
|
|---|
| 123 | rbox_inuse= False;
|
|---|
| 124 | return exitcode;
|
|---|
| 125 | }
|
|---|
| 126 |
|
|---|
| 127 | *command= '\0';
|
|---|
| 128 | strncat(command, rbox_command, sizeof(command)-strlen(command)-1);
|
|---|
| 129 |
|
|---|
| 130 | while (*s && !isspace(*s)) /* skip program name */
|
|---|
| 131 | s++;
|
|---|
| 132 | while (*s) {
|
|---|
| 133 | while (*s && isspace(*s))
|
|---|
| 134 | s++;
|
|---|
| 135 | if (*s == '-')
|
|---|
| 136 | s++;
|
|---|
| 137 | if (!*s)
|
|---|
| 138 | break;
|
|---|
| 139 | if (isdigit(*s)) {
|
|---|
| 140 | numpoints= qh_strtol(s, &s);
|
|---|
| 141 | continue;
|
|---|
| 142 | }
|
|---|
| 143 | /* ============= read flags =============== */
|
|---|
| 144 | switch (*s++) {
|
|---|
| 145 | case 'c':
|
|---|
| 146 | addcube= 1;
|
|---|
| 147 | t= s;
|
|---|
| 148 | while (isspace(*t))
|
|---|
| 149 | t++;
|
|---|
| 150 | if (*t == 'G')
|
|---|
| 151 | cube= qh_strtod(++t, &s);
|
|---|
| 152 | break;
|
|---|
| 153 | case 'd':
|
|---|
| 154 | adddiamond= 1;
|
|---|
| 155 | t= s;
|
|---|
| 156 | while (isspace(*t))
|
|---|
| 157 | t++;
|
|---|
| 158 | if (*t == 'G')
|
|---|
| 159 | diamond= qh_strtod(++t, &s);
|
|---|
| 160 | break;
|
|---|
| 161 | case 'h':
|
|---|
| 162 | iscdd= 1;
|
|---|
| 163 | break;
|
|---|
| 164 | case 'l':
|
|---|
| 165 | isspiral= 1;
|
|---|
| 166 | break;
|
|---|
| 167 | case 'n':
|
|---|
| 168 | NOcommand= 1;
|
|---|
| 169 | break;
|
|---|
| 170 | case 'r':
|
|---|
| 171 | isregular= 1;
|
|---|
| 172 | break;
|
|---|
| 173 | case 's':
|
|---|
| 174 | issphere= 1;
|
|---|
| 175 | break;
|
|---|
| 176 | case 't':
|
|---|
| 177 | istime= 1;
|
|---|
| 178 | if (isdigit(*s)) {
|
|---|
| 179 | seed= qh_strtol(s, &s);
|
|---|
| 180 | israndom= 0;
|
|---|
| 181 | }else
|
|---|
| 182 | israndom= 1;
|
|---|
| 183 | break;
|
|---|
| 184 | case 'x':
|
|---|
| 185 | issimplex= 1;
|
|---|
| 186 | break;
|
|---|
| 187 | case 'y':
|
|---|
| 188 | issimplex2= 1;
|
|---|
| 189 | break;
|
|---|
| 190 | case 'z':
|
|---|
| 191 | rbox.isinteger= 1;
|
|---|
| 192 | break;
|
|---|
| 193 | case 'B':
|
|---|
| 194 | box= qh_strtod(s, &s);
|
|---|
| 195 | isbox= 1;
|
|---|
| 196 | break;
|
|---|
| 197 | case 'D':
|
|---|
| 198 | dim= qh_strtol(s, &s);
|
|---|
| 199 | if (dim < 1
|
|---|
| 200 | || dim > MAXdim) {
|
|---|
| 201 | qh_fprintf_rbox(rbox.ferr, 6189, "rbox error: dimension, D%d, out of bounds (>=%d or <=0)", dim, MAXdim);
|
|---|
| 202 | qh_errexit_rbox(qh_ERRinput);
|
|---|
| 203 | }
|
|---|
| 204 | break;
|
|---|
| 205 | case 'G':
|
|---|
| 206 | if (isdigit(*s))
|
|---|
| 207 | gap= qh_strtod(s, &s);
|
|---|
| 208 | else
|
|---|
| 209 | gap= 0.5;
|
|---|
| 210 | isgap= 1;
|
|---|
| 211 | break;
|
|---|
| 212 | case 'L':
|
|---|
| 213 | if (isdigit(*s))
|
|---|
| 214 | radius= qh_strtod(s, &s);
|
|---|
| 215 | else
|
|---|
| 216 | radius= 10;
|
|---|
| 217 | islens= 1;
|
|---|
| 218 | break;
|
|---|
| 219 | case 'M':
|
|---|
| 220 | ismesh= 1;
|
|---|
| 221 | if (*s)
|
|---|
| 222 | meshn= qh_strtod(s, &s);
|
|---|
| 223 | if (*s == ',') {
|
|---|
| 224 | ++s;
|
|---|
| 225 | meshm= qh_strtod(s, &s);
|
|---|
| 226 | }else
|
|---|
| 227 | meshm= 0.0;
|
|---|
| 228 | if (*s == ',') {
|
|---|
| 229 | ++s;
|
|---|
| 230 | meshr= qh_strtod(s, &s);
|
|---|
| 231 | }else
|
|---|
| 232 | meshr= sqrt(meshn*meshn + meshm*meshm);
|
|---|
| 233 | if (*s && !isspace(*s)) {
|
|---|
| 234 | qh_fprintf_rbox(rbox.ferr, 7069, "rbox warning: assuming 'M3,4,5' since mesh args are not integers or reals\n");
|
|---|
| 235 | meshn= 3.0, meshm=4.0, meshr=5.0;
|
|---|
| 236 | }
|
|---|
| 237 | break;
|
|---|
| 238 | case 'O':
|
|---|
| 239 | rbox.out_offset= qh_strtod(s, &s);
|
|---|
| 240 | break;
|
|---|
| 241 | case 'P':
|
|---|
| 242 | if (!first_point)
|
|---|
| 243 | first_point= s-1;
|
|---|
| 244 | addpoints++;
|
|---|
| 245 | while (*s && !isspace(*s)) /* read points later */
|
|---|
| 246 | s++;
|
|---|
| 247 | break;
|
|---|
| 248 | case 'W':
|
|---|
| 249 | width= qh_strtod(s, &s);
|
|---|
| 250 | iswidth= 1;
|
|---|
| 251 | break;
|
|---|
| 252 | case 'Z':
|
|---|
| 253 | if (isdigit(*s))
|
|---|
| 254 | radius= qh_strtod(s, &s);
|
|---|
| 255 | else
|
|---|
| 256 | radius= 1.0;
|
|---|
| 257 | isaxis= 1;
|
|---|
| 258 | break;
|
|---|
| 259 | default:
|
|---|
| 260 | qh_fprintf_rbox(rbox.ferr, 7070, "rbox error: unknown flag at %s.\nExecute 'rbox' without arguments for documentation.\n", s);
|
|---|
| 261 | qh_errexit_rbox(qh_ERRinput);
|
|---|
| 262 | }
|
|---|
| 263 | if (*s && !isspace(*s)) {
|
|---|
| 264 | qh_fprintf_rbox(rbox.ferr, 7071, "rbox error: missing space between flags at %s.\n", s);
|
|---|
| 265 | qh_errexit_rbox(qh_ERRinput);
|
|---|
| 266 | }
|
|---|
| 267 | }
|
|---|
| 268 |
|
|---|
| 269 | /* ============= defaults, constants, and sizes =============== */
|
|---|
| 270 | if (rbox.isinteger && !isbox)
|
|---|
| 271 | box= qh_DEFAULTzbox;
|
|---|
| 272 | if (addcube) {
|
|---|
| 273 | cubesize= (int)floor(ldexp(1.0,dim)+0.5);
|
|---|
| 274 | if (cube == 0.0)
|
|---|
| 275 | cube= box;
|
|---|
| 276 | }else
|
|---|
| 277 | cubesize= 0;
|
|---|
| 278 | if (adddiamond) {
|
|---|
| 279 | diamondsize= 2*dim;
|
|---|
| 280 | if (diamond == 0.0)
|
|---|
| 281 | diamond= box;
|
|---|
| 282 | }else
|
|---|
| 283 | diamondsize= 0;
|
|---|
| 284 | if (islens) {
|
|---|
| 285 | if (isaxis) {
|
|---|
| 286 | qh_fprintf_rbox(rbox.ferr, 6190, "rbox error: can not combine 'Ln' with 'Zn'\n");
|
|---|
| 287 | qh_errexit_rbox(qh_ERRinput);
|
|---|
| 288 | }
|
|---|
| 289 | if (radius <= 1.0) {
|
|---|
| 290 | qh_fprintf_rbox(rbox.ferr, 6191, "rbox error: lens radius %.2g should be greater than 1.0\n",
|
|---|
| 291 | radius);
|
|---|
| 292 | qh_errexit_rbox(qh_ERRinput);
|
|---|
| 293 | }
|
|---|
| 294 | lensangle= asin(1.0/radius);
|
|---|
| 295 | lensbase= radius * cos(lensangle);
|
|---|
| 296 | }
|
|---|
| 297 |
|
|---|
| 298 | if (!numpoints) {
|
|---|
| 299 | if (issimplex2)
|
|---|
| 300 | ; /* ok */
|
|---|
| 301 | else if (isregular + issimplex + islens + issphere + isaxis + isspiral + iswidth + ismesh) {
|
|---|
| 302 | qh_fprintf_rbox(rbox.ferr, 6192, "rbox error: missing count\n");
|
|---|
| 303 | qh_errexit_rbox(qh_ERRinput);
|
|---|
| 304 | }else if (adddiamond + addcube + addpoints)
|
|---|
| 305 | ; /* ok */
|
|---|
| 306 | else {
|
|---|
| 307 | numpoints= 50; /* ./rbox D4 is the test case */
|
|---|
| 308 | issphere= 1;
|
|---|
| 309 | }
|
|---|
| 310 | }
|
|---|
| 311 | if ((issimplex + islens + isspiral + ismesh > 1)
|
|---|
| 312 | || (issimplex + issphere + isspiral + ismesh > 1)) {
|
|---|
| 313 | qh_fprintf_rbox(rbox.ferr, 6193, "rbox error: can only specify one of 'l', 's', 'x', 'Ln', or 'Mn,m,r' ('Ln s' is ok).\n");
|
|---|
| 314 | qh_errexit_rbox(qh_ERRinput);
|
|---|
| 315 | }
|
|---|
| 316 |
|
|---|
| 317 | /* ============= print header with total points =============== */
|
|---|
| 318 | if (issimplex || ismesh)
|
|---|
| 319 | totpoints= numpoints;
|
|---|
| 320 | else if (issimplex2)
|
|---|
| 321 | totpoints= numpoints+dim+1;
|
|---|
| 322 | else if (isregular) {
|
|---|
| 323 | totpoints= numpoints;
|
|---|
| 324 | if (dim == 2) {
|
|---|
| 325 | if (islens)
|
|---|
| 326 | totpoints += numpoints - 2;
|
|---|
| 327 | }else if (dim == 3) {
|
|---|
| 328 | if (islens)
|
|---|
| 329 | totpoints += 2 * numpoints;
|
|---|
| 330 | else if (isgap)
|
|---|
| 331 | totpoints += 1 + numpoints;
|
|---|
| 332 | else
|
|---|
| 333 | totpoints += 2;
|
|---|
| 334 | }
|
|---|
| 335 | }else
|
|---|
| 336 | totpoints= numpoints + isaxis;
|
|---|
| 337 | totpoints += cubesize + diamondsize + addpoints;
|
|---|
| 338 |
|
|---|
| 339 | /* ============= seed randoms =============== */
|
|---|
| 340 | if (istime == 0) {
|
|---|
| 341 | for (s=command; *s; s++) {
|
|---|
| 342 | if (issimplex2 && *s == 'y') /* make 'y' same seed as 'x' */
|
|---|
| 343 | i= 'x';
|
|---|
| 344 | else
|
|---|
| 345 | i= *s;
|
|---|
| 346 | seed= 11*seed + i;
|
|---|
| 347 | }
|
|---|
| 348 | }else if (israndom) {
|
|---|
| 349 | seed= (int)time(&timedata);
|
|---|
| 350 | sprintf(seedbuf, " t%d", seed); /* appends an extra t, not worth removing */
|
|---|
| 351 | strncat(command, seedbuf, sizeof(command)-strlen(command)-1);
|
|---|
| 352 | t= strstr(command, " t ");
|
|---|
| 353 | if (t)
|
|---|
| 354 | strcpy(t+1, t+3); /* remove " t " */
|
|---|
| 355 | } /* else, seed explicitly set to n */
|
|---|
| 356 | qh_RANDOMseed_(seed);
|
|---|
| 357 |
|
|---|
| 358 | /* ============= print header =============== */
|
|---|
| 359 |
|
|---|
| 360 | if (iscdd)
|
|---|
| 361 | qh_fprintf_rbox(rbox.fout, 9391, "%s\nbegin\n %d %d %s\n",
|
|---|
| 362 | NOcommand ? "" : command,
|
|---|
| 363 | totpoints, dim+1,
|
|---|
| 364 | rbox.isinteger ? "integer" : "real");
|
|---|
| 365 | else if (NOcommand)
|
|---|
| 366 | qh_fprintf_rbox(rbox.fout, 9392, "%d\n%d\n", dim, totpoints);
|
|---|
| 367 | else
|
|---|
| 368 | qh_fprintf_rbox(rbox.fout, 9393, "%d %s\n%d\n", dim, command, totpoints);
|
|---|
| 369 |
|
|---|
| 370 | /* ============= explicit points =============== */
|
|---|
| 371 | if ((s= first_point)) {
|
|---|
| 372 | while (s && *s) { /* 'P' */
|
|---|
| 373 | count= 0;
|
|---|
| 374 | if (iscdd)
|
|---|
| 375 | out1( 1.0);
|
|---|
| 376 | while (*++s) {
|
|---|
| 377 | out1( qh_strtod(s, &s));
|
|---|
| 378 | count++;
|
|---|
| 379 | if (isspace(*s) || !*s)
|
|---|
| 380 | break;
|
|---|
| 381 | if (*s != ',') {
|
|---|
| 382 | qh_fprintf_rbox(rbox.ferr, 6194, "rbox error: missing comma after coordinate in %s\n\n", s);
|
|---|
| 383 | qh_errexit_rbox(qh_ERRinput);
|
|---|
| 384 | }
|
|---|
| 385 | }
|
|---|
| 386 | if (count < dim) {
|
|---|
| 387 | for (k=dim-count; k--; )
|
|---|
| 388 | out1( 0.0);
|
|---|
| 389 | }else if (count > dim) {
|
|---|
| 390 | qh_fprintf_rbox(rbox.ferr, 6195, "rbox error: %d coordinates instead of %d coordinates in %s\n\n",
|
|---|
| 391 | count, dim, s);
|
|---|
| 392 | qh_errexit_rbox(qh_ERRinput);
|
|---|
| 393 | }
|
|---|
| 394 | qh_fprintf_rbox(rbox.fout, 9394, "\n");
|
|---|
| 395 | while ((s= strchr(s, 'P'))) {
|
|---|
| 396 | if (isspace(s[-1]))
|
|---|
| 397 | break;
|
|---|
| 398 | }
|
|---|
| 399 | }
|
|---|
| 400 | }
|
|---|
| 401 |
|
|---|
| 402 | /* ============= simplex distribution =============== */
|
|---|
| 403 | if (issimplex+issimplex2) {
|
|---|
| 404 | if (!(simplex= (double*)qh_malloc( dim * (dim+1) * sizeof(double)))) {
|
|---|
| 405 | qh_fprintf_rbox(rbox.ferr, 6196, "rbox error: insufficient memory for simplex\n");
|
|---|
| 406 | qh_errexit_rbox(qh_ERRmem); /* qh_ERRmem */
|
|---|
| 407 | }
|
|---|
| 408 | simplexp= simplex;
|
|---|
| 409 | if (isregular) {
|
|---|
| 410 | for (i=0; i<dim; i++) {
|
|---|
| 411 | for (k=0; k<dim; k++)
|
|---|
| 412 | *(simplexp++)= i==k ? 1.0 : 0.0;
|
|---|
| 413 | }
|
|---|
| 414 | for (k=0; k<dim; k++)
|
|---|
| 415 | *(simplexp++)= -1.0;
|
|---|
| 416 | }else {
|
|---|
| 417 | for (i=0; i<dim+1; i++) {
|
|---|
| 418 | for (k=0; k<dim; k++) {
|
|---|
| 419 | randr= qh_RANDOMint;
|
|---|
| 420 | *(simplexp++)= 2.0 * randr/randmax - 1.0;
|
|---|
| 421 | }
|
|---|
| 422 | }
|
|---|
| 423 | }
|
|---|
| 424 | if (issimplex2) {
|
|---|
| 425 | simplexp= simplex;
|
|---|
| 426 | for (i=0; i<dim+1; i++) {
|
|---|
| 427 | if (iscdd)
|
|---|
| 428 | out1( 1.0);
|
|---|
| 429 | for (k=0; k<dim; k++)
|
|---|
| 430 | out1( *(simplexp++) * box);
|
|---|
| 431 | qh_fprintf_rbox(rbox.fout, 9395, "\n");
|
|---|
| 432 | }
|
|---|
| 433 | }
|
|---|
| 434 | for (j=0; j<numpoints; j++) {
|
|---|
| 435 | if (iswidth)
|
|---|
| 436 | apex= qh_RANDOMint % (dim+1);
|
|---|
| 437 | else
|
|---|
| 438 | apex= -1;
|
|---|
| 439 | for (k=0; k<dim; k++)
|
|---|
| 440 | coord[k]= 0.0;
|
|---|
| 441 | norm= 0.0;
|
|---|
| 442 | for (i=0; i<dim+1; i++) {
|
|---|
| 443 | randr= qh_RANDOMint;
|
|---|
| 444 | factor= randr/randmax;
|
|---|
| 445 | if (i == apex)
|
|---|
| 446 | factor *= width;
|
|---|
| 447 | norm += factor;
|
|---|
| 448 | for (k=0; k<dim; k++) {
|
|---|
| 449 | simplexp= simplex + i*dim + k;
|
|---|
| 450 | coord[k] += factor * (*simplexp);
|
|---|
| 451 | }
|
|---|
| 452 | }
|
|---|
| 453 | for (k=0; k<dim; k++)
|
|---|
| 454 | coord[k] /= norm;
|
|---|
| 455 | if (iscdd)
|
|---|
| 456 | out1( 1.0);
|
|---|
| 457 | for (k=0; k < dim; k++)
|
|---|
| 458 | out1( coord[k] * box);
|
|---|
| 459 | qh_fprintf_rbox(rbox.fout, 9396, "\n");
|
|---|
| 460 | }
|
|---|
| 461 | isregular= 0; /* continue with isbox */
|
|---|
| 462 | numpoints= 0;
|
|---|
| 463 | }
|
|---|
| 464 |
|
|---|
| 465 | /* ============= mesh distribution =============== */
|
|---|
| 466 | if (ismesh) {
|
|---|
| 467 | nthroot= (int)(pow((double)numpoints, 1.0/dim) + 0.99999);
|
|---|
| 468 | for (k=dim; k--; )
|
|---|
| 469 | mult[k]= 0;
|
|---|
| 470 | for (i=0; i < numpoints; i++) {
|
|---|
| 471 | for (k=0; k < dim; k++) {
|
|---|
| 472 | if (k == 0)
|
|---|
| 473 | out1( mult[0] * meshn + mult[1] * (-meshm));
|
|---|
| 474 | else if (k == 1)
|
|---|
| 475 | out1( mult[0] * meshm + mult[1] * meshn);
|
|---|
| 476 | else
|
|---|
| 477 | out1( mult[k] * meshr );
|
|---|
| 478 | }
|
|---|
| 479 | qh_fprintf_rbox(rbox.fout, 9397, "\n");
|
|---|
| 480 | for (k=0; k < dim; k++) {
|
|---|
| 481 | if (++mult[k] < nthroot)
|
|---|
| 482 | break;
|
|---|
| 483 | mult[k]= 0;
|
|---|
| 484 | }
|
|---|
| 485 | }
|
|---|
| 486 | }
|
|---|
| 487 | /* ============= regular points for 's' =============== */
|
|---|
| 488 | else if (isregular && !islens) {
|
|---|
| 489 | if (dim != 2 && dim != 3) {
|
|---|
| 490 | qh_fprintf_rbox(rbox.ferr, 6197, "rbox error: regular points can be used only in 2-d and 3-d\n\n");
|
|---|
| 491 | qh_errexit_rbox(qh_ERRinput);
|
|---|
| 492 | }
|
|---|
| 493 | if (!isaxis || radius == 0.0) {
|
|---|
| 494 | isaxis= 1;
|
|---|
| 495 | radius= 1.0;
|
|---|
| 496 | }
|
|---|
| 497 | if (dim == 3) {
|
|---|
| 498 | if (iscdd)
|
|---|
| 499 | out1( 1.0);
|
|---|
| 500 | out3n( 0.0, 0.0, -box);
|
|---|
| 501 | if (!isgap) {
|
|---|
| 502 | if (iscdd)
|
|---|
| 503 | out1( 1.0);
|
|---|
| 504 | out3n( 0.0, 0.0, box);
|
|---|
| 505 | }
|
|---|
| 506 | }
|
|---|
| 507 | angle= 0.0;
|
|---|
| 508 | anglediff= 2.0 * PI/numpoints;
|
|---|
| 509 | for (i=0; i < numpoints; i++) {
|
|---|
| 510 | angle += anglediff;
|
|---|
| 511 | x= radius * cos(angle);
|
|---|
| 512 | y= radius * sin(angle);
|
|---|
| 513 | if (dim == 2) {
|
|---|
| 514 | if (iscdd)
|
|---|
| 515 | out1( 1.0);
|
|---|
| 516 | out2n( x*box, y*box);
|
|---|
| 517 | }else {
|
|---|
| 518 | norm= sqrt(1.0 + x*x + y*y);
|
|---|
| 519 | if (iscdd)
|
|---|
| 520 | out1( 1.0);
|
|---|
| 521 | out3n( box*x/norm, box*y/norm, box/norm);
|
|---|
| 522 | if (isgap) {
|
|---|
| 523 | x *= 1-gap;
|
|---|
| 524 | y *= 1-gap;
|
|---|
| 525 | norm= sqrt(1.0 + x*x + y*y);
|
|---|
| 526 | if (iscdd)
|
|---|
| 527 | out1( 1.0);
|
|---|
| 528 | out3n( box*x/norm, box*y/norm, box/norm);
|
|---|
| 529 | }
|
|---|
| 530 | }
|
|---|
| 531 | }
|
|---|
| 532 | }
|
|---|
| 533 | /* ============= regular points for 'r Ln D2' =============== */
|
|---|
| 534 | else if (isregular && islens && dim == 2) {
|
|---|
| 535 | double cos_0;
|
|---|
| 536 |
|
|---|
| 537 | angle= lensangle;
|
|---|
| 538 | anglediff= 2 * lensangle/(numpoints - 1);
|
|---|
| 539 | cos_0= cos(lensangle);
|
|---|
| 540 | for (i=0; i < numpoints; i++, angle -= anglediff) {
|
|---|
| 541 | x= radius * sin(angle);
|
|---|
| 542 | y= radius * (cos(angle) - cos_0);
|
|---|
| 543 | if (iscdd)
|
|---|
| 544 | out1( 1.0);
|
|---|
| 545 | out2n( x*box, y*box);
|
|---|
| 546 | if (i != 0 && i != numpoints - 1) {
|
|---|
| 547 | if (iscdd)
|
|---|
| 548 | out1( 1.0);
|
|---|
| 549 | out2n( x*box, -y*box);
|
|---|
| 550 | }
|
|---|
| 551 | }
|
|---|
| 552 | }
|
|---|
| 553 | /* ============= regular points for 'r Ln D3' =============== */
|
|---|
| 554 | else if (isregular && islens && dim != 2) {
|
|---|
| 555 | if (dim != 3) {
|
|---|
| 556 | qh_fprintf_rbox(rbox.ferr, 6198, "rbox error: regular points can be used only in 2-d and 3-d\n\n");
|
|---|
| 557 | qh_errexit_rbox(qh_ERRinput);
|
|---|
| 558 | }
|
|---|
| 559 | angle= 0.0;
|
|---|
| 560 | anglediff= 2* PI/numpoints;
|
|---|
| 561 | if (!isgap) {
|
|---|
| 562 | isgap= 1;
|
|---|
| 563 | gap= 0.5;
|
|---|
| 564 | }
|
|---|
| 565 | offset= sqrt(radius * radius - (1-gap)*(1-gap)) - lensbase;
|
|---|
| 566 | for (i=0; i < numpoints; i++, angle += anglediff) {
|
|---|
| 567 | x= cos(angle);
|
|---|
| 568 | y= sin(angle);
|
|---|
| 569 | if (iscdd)
|
|---|
| 570 | out1( 1.0);
|
|---|
| 571 | out3n( box*x, box*y, 0.0);
|
|---|
| 572 | x *= 1-gap;
|
|---|
| 573 | y *= 1-gap;
|
|---|
| 574 | if (iscdd)
|
|---|
| 575 | out1( 1.0);
|
|---|
| 576 | out3n( box*x, box*y, box * offset);
|
|---|
| 577 | if (iscdd)
|
|---|
| 578 | out1( 1.0);
|
|---|
| 579 | out3n( box*x, box*y, -box * offset);
|
|---|
| 580 | }
|
|---|
| 581 | }
|
|---|
| 582 | /* ============= apex of 'Zn' distribution + gendim =============== */
|
|---|
| 583 | else {
|
|---|
| 584 | if (isaxis) {
|
|---|
| 585 | gendim= dim-1;
|
|---|
| 586 | if (iscdd)
|
|---|
| 587 | out1( 1.0);
|
|---|
| 588 | for (j=0; j < gendim; j++)
|
|---|
| 589 | out1( 0.0);
|
|---|
| 590 | out1( -box);
|
|---|
| 591 | qh_fprintf_rbox(rbox.fout, 9398, "\n");
|
|---|
| 592 | }else if (islens)
|
|---|
| 593 | gendim= dim-1;
|
|---|
| 594 | else
|
|---|
| 595 | gendim= dim;
|
|---|
| 596 | /* ============= generate random point in unit cube =============== */
|
|---|
| 597 | for (i=0; i < numpoints; i++) {
|
|---|
| 598 | norm= 0.0;
|
|---|
| 599 | for (j=0; j < gendim; j++) {
|
|---|
| 600 | randr= qh_RANDOMint;
|
|---|
| 601 | coord[j]= 2.0 * randr/randmax - 1.0;
|
|---|
| 602 | norm += coord[j] * coord[j];
|
|---|
| 603 | }
|
|---|
| 604 | norm= sqrt(norm);
|
|---|
| 605 | /* ============= dim-1 point of 'Zn' distribution ========== */
|
|---|
| 606 | if (isaxis) {
|
|---|
| 607 | if (!isgap) {
|
|---|
| 608 | isgap= 1;
|
|---|
| 609 | gap= 1.0;
|
|---|
| 610 | }
|
|---|
| 611 | randr= qh_RANDOMint;
|
|---|
| 612 | rangap= 1.0 - gap * randr/randmax;
|
|---|
| 613 | factor= radius * rangap / norm;
|
|---|
| 614 | for (j=0; j<gendim; j++)
|
|---|
| 615 | coord[j]= factor * coord[j];
|
|---|
| 616 | /* ============= dim-1 point of 'Ln s' distribution =========== */
|
|---|
| 617 | }else if (islens && issphere) {
|
|---|
| 618 | if (!isgap) {
|
|---|
| 619 | isgap= 1;
|
|---|
| 620 | gap= 1.0;
|
|---|
| 621 | }
|
|---|
| 622 | randr= qh_RANDOMint;
|
|---|
| 623 | rangap= 1.0 - gap * randr/randmax;
|
|---|
| 624 | factor= rangap / norm;
|
|---|
| 625 | for (j=0; j<gendim; j++)
|
|---|
| 626 | coord[j]= factor * coord[j];
|
|---|
| 627 | /* ============= dim-1 point of 'Ln' distribution ========== */
|
|---|
| 628 | }else if (islens && !issphere) {
|
|---|
| 629 | if (!isgap) {
|
|---|
| 630 | isgap= 1;
|
|---|
| 631 | gap= 1.0;
|
|---|
| 632 | }
|
|---|
| 633 | j= qh_RANDOMint % gendim;
|
|---|
| 634 | if (coord[j] < 0)
|
|---|
| 635 | coord[j]= -1.0 - coord[j] * gap;
|
|---|
| 636 | else
|
|---|
| 637 | coord[j]= 1.0 - coord[j] * gap;
|
|---|
| 638 | /* ============= point of 'l' distribution =============== */
|
|---|
| 639 | }else if (isspiral) {
|
|---|
| 640 | if (dim != 3) {
|
|---|
| 641 | qh_fprintf_rbox(rbox.ferr, 6199, "rbox error: spiral distribution is available only in 3d\n\n");
|
|---|
| 642 | longjmp(rbox.errexit,qh_ERRinput);
|
|---|
| 643 | }
|
|---|
| 644 | coord[0]= cos(2*PI*i/(numpoints - 1));
|
|---|
| 645 | coord[1]= sin(2*PI*i/(numpoints - 1));
|
|---|
| 646 | coord[2]= 2.0*(double)i/(double)(numpoints-1) - 1.0;
|
|---|
| 647 | /* ============= point of 's' distribution =============== */
|
|---|
| 648 | }else if (issphere) {
|
|---|
| 649 | factor= 1.0/norm;
|
|---|
| 650 | if (iswidth) {
|
|---|
| 651 | randr= qh_RANDOMint;
|
|---|
| 652 | factor *= 1.0 - width * randr/randmax;
|
|---|
| 653 | }
|
|---|
| 654 | for (j=0; j<dim; j++)
|
|---|
| 655 | coord[j]= factor * coord[j];
|
|---|
| 656 | }
|
|---|
| 657 | /* ============= project 'Zn s' point in to sphere =============== */
|
|---|
| 658 | if (isaxis && issphere) {
|
|---|
| 659 | coord[dim-1]= 1.0;
|
|---|
| 660 | norm= 1.0;
|
|---|
| 661 | for (j=0; j<gendim; j++)
|
|---|
| 662 | norm += coord[j] * coord[j];
|
|---|
| 663 | norm= sqrt(norm);
|
|---|
| 664 | for (j=0; j<dim; j++)
|
|---|
| 665 | coord[j]= coord[j] / norm;
|
|---|
| 666 | if (iswidth) {
|
|---|
| 667 | randr= qh_RANDOMint;
|
|---|
| 668 | coord[dim-1] *= 1 - width * randr/randmax;
|
|---|
| 669 | }
|
|---|
| 670 | /* ============= project 'Zn' point onto cube =============== */
|
|---|
| 671 | }else if (isaxis && !issphere) { /* not very interesting */
|
|---|
| 672 | randr= qh_RANDOMint;
|
|---|
| 673 | coord[dim-1]= 2.0 * randr/randmax - 1.0;
|
|---|
| 674 | /* ============= project 'Ln' point out to sphere =============== */
|
|---|
| 675 | }else if (islens) {
|
|---|
| 676 | coord[dim-1]= lensbase;
|
|---|
| 677 | for (j=0, norm= 0; j<dim; j++)
|
|---|
| 678 | norm += coord[j] * coord[j];
|
|---|
| 679 | norm= sqrt(norm);
|
|---|
| 680 | for (j=0; j<dim; j++)
|
|---|
| 681 | coord[j]= coord[j] * radius/ norm;
|
|---|
| 682 | coord[dim-1] -= lensbase;
|
|---|
| 683 | if (iswidth) {
|
|---|
| 684 | randr= qh_RANDOMint;
|
|---|
| 685 | coord[dim-1] *= 1 - width * randr/randmax;
|
|---|
| 686 | }
|
|---|
| 687 | if (qh_RANDOMint > randmax/2)
|
|---|
| 688 | coord[dim-1]= -coord[dim-1];
|
|---|
| 689 | /* ============= project 'Wn' point toward boundary =============== */
|
|---|
| 690 | }else if (iswidth && !issphere) {
|
|---|
| 691 | j= qh_RANDOMint % gendim;
|
|---|
| 692 | if (coord[j] < 0)
|
|---|
| 693 | coord[j]= -1.0 - coord[j] * width;
|
|---|
| 694 | else
|
|---|
| 695 | coord[j]= 1.0 - coord[j] * width;
|
|---|
| 696 | }
|
|---|
| 697 | /* ============= write point =============== */
|
|---|
| 698 | if (iscdd)
|
|---|
| 699 | out1( 1.0);
|
|---|
| 700 | for (k=0; k < dim; k++)
|
|---|
| 701 | out1( coord[k] * box);
|
|---|
| 702 | qh_fprintf_rbox(rbox.fout, 9399, "\n");
|
|---|
| 703 | }
|
|---|
| 704 | }
|
|---|
| 705 |
|
|---|
| 706 | /* ============= write cube vertices =============== */
|
|---|
| 707 | if (addcube) {
|
|---|
| 708 | for (j=0; j<cubesize; j++) {
|
|---|
| 709 | if (iscdd)
|
|---|
| 710 | out1( 1.0);
|
|---|
| 711 | for (k=dim-1; k>=0; k--) {
|
|---|
| 712 | if (j & ( 1 << k))
|
|---|
| 713 | out1( cube);
|
|---|
| 714 | else
|
|---|
| 715 | out1( -cube);
|
|---|
| 716 | }
|
|---|
| 717 | qh_fprintf_rbox(rbox.fout, 9400, "\n");
|
|---|
| 718 | }
|
|---|
| 719 | }
|
|---|
| 720 |
|
|---|
| 721 | /* ============= write diamond vertices =============== */
|
|---|
| 722 | if (adddiamond) {
|
|---|
| 723 | for (j=0; j<diamondsize; j++) {
|
|---|
| 724 | if (iscdd)
|
|---|
| 725 | out1( 1.0);
|
|---|
| 726 | for (k=dim-1; k>=0; k--) {
|
|---|
| 727 | if (j/2 != k)
|
|---|
| 728 | out1( 0.0);
|
|---|
| 729 | else if (j & 0x1)
|
|---|
| 730 | out1( diamond);
|
|---|
| 731 | else
|
|---|
| 732 | out1( -diamond);
|
|---|
| 733 | }
|
|---|
| 734 | qh_fprintf_rbox(rbox.fout, 9401, "\n");
|
|---|
| 735 | }
|
|---|
| 736 | }
|
|---|
| 737 |
|
|---|
| 738 | if (iscdd)
|
|---|
| 739 | qh_fprintf_rbox(rbox.fout, 9402, "end\nhull\n");
|
|---|
| 740 |
|
|---|
| 741 | /* same code for error exit and normal return */
|
|---|
| 742 | if (simplex)
|
|---|
| 743 | qh_free(simplex);
|
|---|
| 744 | rbox_inuse= False;
|
|---|
| 745 | return qh_ERRnone;
|
|---|
| 746 | } /* rboxpoints */
|
|---|
| 747 |
|
|---|
| 748 | /*------------------------------------------------
|
|---|
| 749 | outxxx - output functions
|
|---|
| 750 | */
|
|---|
| 751 | int roundi( double a) {
|
|---|
| 752 | if (a < 0.0) {
|
|---|
| 753 | if (a - 0.5 < INT_MIN) {
|
|---|
| 754 | qh_fprintf_rbox(rbox.ferr, 6200, "rbox input error: negative coordinate %2.2g is too large. Reduce 'Bn'\n", a);
|
|---|
| 755 | qh_errexit_rbox(qh_ERRinput);
|
|---|
| 756 | }
|
|---|
| 757 | return (int)(a - 0.5);
|
|---|
| 758 | }else {
|
|---|
| 759 | if (a + 0.5 > INT_MAX) {
|
|---|
| 760 | qh_fprintf_rbox(rbox.ferr, 6201, "rbox input error: coordinate %2.2g is too large. Reduce 'Bn'\n", a);
|
|---|
| 761 | qh_errexit_rbox(qh_ERRinput);
|
|---|
| 762 | }
|
|---|
| 763 | return (int)(a + 0.5);
|
|---|
| 764 | }
|
|---|
| 765 | } /* roundi */
|
|---|
| 766 |
|
|---|
| 767 | void out1(double a) {
|
|---|
| 768 |
|
|---|
| 769 | if (rbox.isinteger)
|
|---|
| 770 | qh_fprintf_rbox(rbox.fout, 9403, "%d ", roundi( a+rbox.out_offset));
|
|---|
| 771 | else
|
|---|
| 772 | qh_fprintf_rbox(rbox.fout, 9404, qh_REAL_1, a+rbox.out_offset);
|
|---|
| 773 | } /* out1 */
|
|---|
| 774 |
|
|---|
| 775 | void out2n( double a, double b) {
|
|---|
| 776 |
|
|---|
| 777 | if (rbox.isinteger)
|
|---|
| 778 | qh_fprintf_rbox(rbox.fout, 9405, "%d %d\n", roundi(a+rbox.out_offset), roundi(b+rbox.out_offset));
|
|---|
| 779 | else
|
|---|
| 780 | qh_fprintf_rbox(rbox.fout, 9406, qh_REAL_2n, a+rbox.out_offset, b+rbox.out_offset);
|
|---|
| 781 | } /* out2n */
|
|---|
| 782 |
|
|---|
| 783 | void out3n( double a, double b, double c) {
|
|---|
| 784 |
|
|---|
| 785 | if (rbox.isinteger)
|
|---|
| 786 | qh_fprintf_rbox(rbox.fout, 9407, "%d %d %d\n", roundi(a+rbox.out_offset), roundi(b+rbox.out_offset), roundi(c+rbox.out_offset));
|
|---|
| 787 | else
|
|---|
| 788 | qh_fprintf_rbox(rbox.fout, 9408, qh_REAL_3n, a+rbox.out_offset, b+rbox.out_offset, c+rbox.out_offset);
|
|---|
| 789 | } /* out3n */
|
|---|
| 790 |
|
|---|
| 791 | void qh_errexit_rbox(int exitcode)
|
|---|
| 792 | {
|
|---|
| 793 | longjmp(rbox.errexit, exitcode);
|
|---|
| 794 | } /* rbox_errexit */
|
|---|
| 795 |
|
|---|
