File:  [LON-CAPA] / capa / capa51 / pProj / capaUnit.c
Revision 1.3: download - view: text, annotated - select for diffs
Tue Feb 22 18:19:02 2000 UTC (24 years, 4 months ago) by albertel
Branches: MAIN
CVS tags: HEAD
- new random distribution functions

    1: 
    2: /* =||>|===================== capaUnit.c   =====================|<||= */
    3: /*   created by Isaac Tsai   1997                                    */
    4: /*   copyrighted by Isaac Tsai 1997, 1998, 1999                      */
    5: /* =||>|========================================================|<||= */
    6: #include <stdio.h>        /* fopen()  */
    7: #include <stdlib.h>
    8: #include <ctype.h>        /* isalnum()   */
    9: #include <string.h>
   10: #include <math.h>
   11: 
   12: #include "capaParser.h"
   13: 
   14: int      PrefixTbl[QUARTER_K];
   15: int      BaseUnitcnt;
   16: double   CScale[BASEUNIT_LIMIT];
   17: double   CExp[BASEUNIT_LIMIT];
   18: char     CSymb[BASEUNIT_LIMIT][SYMBOL_MAXLEN];
   19: Unit_t  *UnitTree_p;
   20: double   MinSquared;
   21: Unit_t  *MinSquaredUnit_p;
   22: Unit_t  *InqueryUnit_p;
   23: double  *TmpAexp, *TmpBexp;
   24: Unit_t  *EquivUnit[BASEUNIT_LIMIT];
   25: double   MinValue[BASEUNIT_LIMIT];
   26: int      EquivUnitCnt;
   27: char     Sbuf[ONE_K_SIZE];
   28: int      Sidx;
   29: Unit_t  *Pstack[ONE_K_SIZE];
   30: int      Ptopidx;
   31: int      gUnitError;
   32: 
   33: FILE    *ufp;
   34: 
   35: /* ==================================================================== */
   36: void c_ignorewhite(FILE *f) /* ignore white spaces from a file stream */
   37: {
   38:   register int c;
   39:   register int ok;
   40:  
   41:   ok = 0;
   42:   do {
   43:     do {  c = getc(f);
   44:     } while ( isspace(c) );
   45:     ungetc(c,f);
   46:     if (c == '#') {
   47:       while (getc(f) != '\n');
   48:     } else ok = 1;
   49:   } while( ! ok);
   50: }
   51: 
   52: int c_getint(FILE *f)  /* returns an integer from the file stream */
   53: {
   54:     int c;
   55:     int value;
   56:  
   57:     c_ignorewhite(f);
   58:     c = fgetc(f);
   59:     if (!isdigit(c)) {
   60:         fprintf(stderr,"Error: Expected digit, got %c\n", c);
   61:         exit(-1);
   62:     }
   63:     ungetc(c,f);
   64:     fscanf(f,"%d", &value);
   65:     return(value);
   66: }
   67: int c_getsec_range(FILE *f,int *low,int *high)
   68: {
   69:     int c;
   70:     int tmp, result;
   71:  
   72:     c_ignorewhite(f);
   73:     c = fgetc(f);
   74:     if( c == '[' ) { /* specify a range of sections */
   75:       do {  c = getc(f); } while ( isspace(c) );
   76:       if (!isdigit(c)) {
   77:         fprintf(stderr,"Error in section range format, expecting a number.\n");
   78:         result = -1;
   79:         return (result);
   80:       }
   81:       ungetc(c,f);
   82:       fscanf(f,"%d", low);
   83:       do {  c = getc(f); } while ( isspace(c) );
   84:       if( c == ',' ) {
   85:         do {  c = getc(f); } while ( isspace(c) );
   86:         if (!isdigit(c)) {
   87:           fprintf(stderr,"Error in section range format, expecting a number.\n");
   88:           result = -1;
   89:           return (result);
   90:         }
   91:         ungetc(c,f);
   92:         fscanf(f,"%d", high);
   93:         do {  c = getc(f); } while ( isspace(c) );
   94:         if( c == ']' ) {
   95:           if( *high < *low ) {
   96:             tmp= *high; *high = *low; *low =tmp;
   97:           }
   98:           if(*low <=0) {
   99:             *low = 1;
  100:           }
  101:           if(*high <=0) {
  102:             *high =1;
  103:           }
  104:           /* printf("Section range=>[%d,%d]\n",*low,*high); */
  105:           result = 2;
  106:         }
  107:       } else { /* no , specified */
  108:         result = -1;
  109:         return (result);
  110:       }
  111:     } else { /* specify a section only */
  112:       if (!isdigit(c)) {
  113:         fprintf(stderr,"Error: Expected digit, got %c\n", c);
  114:         result = -1;
  115:         return (result);
  116:       }
  117:       ungetc(c,f);
  118:       fscanf(f,"%d", low);
  119:       result = 1;
  120:     }
  121:     return (result);
  122: }
  123: 
  124: double c_getdouble(FILE *f)
  125: {
  126:     int c;
  127:     double value;
  128:  
  129:     c_ignorewhite(f);
  130:     c = fgetc(f);
  131:     if (!isdigit(c)) {
  132:         fprintf(stderr,"Error: Expected digit, got %c\n", c);
  133:         exit(-1);
  134:     }
  135:     ungetc(c,f);
  136:     fscanf(f,"%lf", &value);
  137:     return(value);
  138: }
  139: 
  140: /*   read until encountered an unrecognizable char */
  141: /*      space, #, anything other than alphanum, {}-^_ */
  142: char *c_getword(FILE *f) 
  143: {
  144:   register int c;
  145:   register int idx;
  146:   char     tmp_string[ONE_K];
  147:   char     *new_string;
  148: 
  149:   idx = 0;
  150:   c_ignorewhite(f);
  151:     do {  c = getc(f);
  152:       tmp_string[idx] = c;
  153:       idx++;
  154:     } while (isalnum(c) || c == '{' || c == '}' || c == '-' || 
  155:              c == '^'   || c == '_' );
  156:     ungetc(c,f); idx--;
  157:     tmp_string[idx] = 0;
  158:     new_string = (char *)malloc( (idx+1)*sizeof(char) );
  159:     strncpy(new_string,tmp_string, (idx+1) );
  160:   
  161:   return (new_string);
  162: }
  163: /*   read until encountered a newline, # */
  164: char *c_getstring(FILE *f) 
  165: {
  166:   register int c;
  167:   register int idx;
  168:   char     tmp_string[1024];
  169:   char     *new_string;
  170: 
  171:   idx = 0;
  172:   c_ignorewhite(f);
  173:     do {  c = getc(f);
  174:       tmp_string[idx] = c;
  175:       idx++;
  176:     } while (isalnum(c) || c == '{' || c == '}' || c == '-' || 
  177:              c == '^'   || c == ' ' || c == ',' || c == ';' ||
  178:              c == '.'   || c == '(' || c == ')' || c == '=' ||
  179:              c == '+'   || c == '*' || c == '/' );
  180:     ungetc(c,f); idx--;
  181:     tmp_string[idx] = 0;
  182:     c = tmp_string[idx-1];
  183:     while( c == ' ') {   /* get rid of trailing white space */
  184:        idx--;
  185:        c = tmp_string[idx-1];
  186:     }
  187:     tmp_string[idx] = 0;
  188:     new_string = (char *)malloc( (idx+1)*sizeof(char) );
  189:     strncpy(new_string,tmp_string, (idx+1) );
  190:   
  191:   return (new_string);
  192: }
  193: char *c_getcomment(FILE *f) 
  194: {
  195:   register int c;
  196:   register int idx;
  197:   char     tmp_string[ONE_K];
  198:   char     *new_string;
  199: 
  200:   idx = 0;
  201:   while (getc(f) != '#');
  202:   while ((c = getc(f)) == ' ');  ungetc(c,f);
  203:     do {  c = getc(f);
  204:       tmp_string[idx] = c;
  205:       idx++;
  206:     } while ( isprint(c) );
  207: /*
  208:     } while (isalnum(c) || c == '{' || c == '}' || c == '-' || 
  209:              c == '^'   || c == ' ' || c == ',' || c == ';' ||
  210:              c == '.'   || c == '(' || c == ')' || c == '=' );
  211: */
  212:     ungetc(c,f); idx--;
  213:     tmp_string[idx] = 0;
  214:     c = tmp_string[idx-1];
  215:     while( c == ' ') {   /* get rid of trailing white space */
  216:        idx--;
  217:        c = tmp_string[idx-1];
  218:     }
  219:     tmp_string[idx] = 0;
  220:     new_string = (char *)malloc( (idx+1)*sizeof(char) );
  221:     strncpy(new_string,tmp_string, (idx+1) );
  222:   
  223:   return (new_string);
  224: }
  225: void  c_moveto_unit(FILE *f)
  226: {
  227:   register int c;
  228:   register int ok;
  229:  
  230:   ok = 0;
  231:   do {
  232:     do {  c = getc(f);
  233:     } while (c != '<' );
  234:     c = getc(f);
  235:     if (c == '<') {
  236:       ungetc(c,f); ungetc(c,f); ok=1;
  237:     }
  238:   } while( ! ok);
  239: }
  240: 
  241: int  c_gettype(FILE *f)
  242: {
  243:   register int c;
  244:   register int idx;
  245:   char     tmp_string[ONE_K];
  246:   char     new_string[ONE_K];
  247:   
  248:   idx = 0;
  249: PRESTART:
  250:   c_ignorewhite(f);
  251:   while ((c=getc(f)) != '<') { if ( (char)c==(char)EOF ) return U_UNKNOWN; }
  252:   c = getc(f);
  253:   if( c == '<' ) {
  254:     c_ignorewhite(f);
  255: PREEND:
  256:     do {  c = getc(f);
  257:       tmp_string[idx] = toupper(c);
  258:       idx++;
  259:     } while ( c != '>' );
  260:     c = getc(f); 
  261:     if( c == '>' ) {
  262:       idx--;
  263:       tmp_string[idx] = 0;
  264:       c = tmp_string[idx-1];
  265:       while( c == ' ') {   /* get rid of trailing white space */
  266:         idx--;
  267:         c = tmp_string[idx-1];
  268:       }
  269:       tmp_string[idx] = 0;
  270:       strncpy(new_string,tmp_string, (idx+1) );
  271:     } else {
  272:       ungetc(c,f);
  273:       goto PREEND;
  274:     }
  275:   } else {
  276:     goto PRESTART;
  277:   }
  278:   if( !strcmp(new_string,"BASE UNIT") ) {
  279:     return (U_BASE);
  280:   }  
  281:   if( strcmp(new_string, "DERIVED UNIT") == 0 ) {
  282:     return (U_DERIVED);
  283:   }
  284:   if( strcmp(new_string, "PREFIX") == 0 ) {
  285:     return (U_PREFIX);
  286:   }
  287:   if( strcmp(new_string, "CONSTANTS") == 0 ) {
  288:     return (U_CONSTANT);
  289:   }
  290:   if( strcasecmp(new_string, "DEFAULTS") == 0 ) {
  291:     return (U_DEFAULT);
  292:   }
  293:   return (U_UNKNOWN);
  294:   
  295: }
  296: 
  297: /* =================================================================== */
  298: /* =================================================================== */
  299: /* returns: 0 success */
  300: /*          1 the first units string u1_str could not be reduce to a valid unit */
  301: /*          2 the second units string could not be reduced to a valid unit */
  302: int
  303: u_convert_unit(char *u1_str,char *u2_str,double *ratio)
  304: {
  305:   Unit_t   *ap, *bp;
  306:   int       result=0;
  307:   
  308:   while( isspace(*u1_str) )  u1_str++;
  309:   while( isspace(*u2_str) )  u2_str++;
  310:   bp = parse_unit_expr(u2_str);
  311:   Ptopidx=0;
  312:   postwalk_utree(bp);
  313:   if( Ptopidx == 1 ) {
  314:     simplify_unit(Pstack[Ptopidx]);
  315:     bp = Pstack[Ptopidx];
  316:     /* print_unit_t(bp); */
  317:     ap = parse_unit_expr(u1_str);
  318:     Ptopidx=0;
  319:     postwalk_utree(ap);
  320:     if( Ptopidx == 1 ) {
  321:       simplify_unit(Pstack[Ptopidx]);
  322:       /* print_unit_t(Pstack[Ptopidx]); */
  323:       if( (Pstack[Ptopidx]->u_count != 0) ||
  324:           (Pstack[Ptopidx]->u_count == bp->u_count) ) { /* has unit */
  325:         *ratio = units_ratio(Pstack[Ptopidx], bp);
  326:       } else {
  327:         result = 1;
  328:       }
  329:     }
  330:     free_utree(ap);
  331:   } else {
  332:     result = 2;
  333:   }
  334:   free_utree(bp);
  335:   return (result);
  336: }
  337: 
  338: /* =================================================================== */
  339: 
  340: 
  341: 
  342: Unit_t *
  343: u_find_symb (char *name, Unit_t *t, int *result) 
  344: {
  345:   
  346:   if (t == NULL)  return t;
  347: 
  348:   for (;;) {
  349:     if ( comp_unit_symb(name,t->u_symbol) < 0 ) {
  350:       if (t->u_left == NULL)  {
  351:         /* printf("L not found\n"); */
  352:         *result = 0;
  353:         break;
  354:       }
  355:       t = t->u_left;
  356:     } else if ( comp_unit_symb(name,t->u_symbol) > 0 ) {
  357:       if (t->u_right == NULL) {
  358:         /* printf("R not found\n"); */
  359:         *result = 0;
  360:         break;
  361:       }
  362:       t = t->u_right;
  363:     } else {
  364:      *result = 1;
  365:       break;
  366:     }
  367:   }
  368:   return t;
  369: }
  370: /* ------------------------------------------------------------- */
  371: /*   use the input unit_t's element list to locate the min squared */
  372: /*   error fit of the unit tree        */
  373: /*   report either exact fit or approx */
  374: 
  375: void
  376: u_find_name(Unit_t *t)
  377: {
  378:   int      ii;
  379:   Unit_E  *eu_p;
  380:   
  381:   MinSquared = FLT_MAX;
  382:   EquivUnitCnt=0;
  383:   InqueryUnit_p = t;
  384:   /* printf("INQ[[%s,%s,%d]]\n", U_SYMB(t), U_NAME(t),U_COUNT(t)); */
  385:   TmpAexp = (double *)capa_malloc(BaseUnitcnt,sizeof(double));
  386:   TmpBexp = (double *)capa_malloc(BaseUnitcnt,sizeof(double));
  387:   for(ii=0;ii<BaseUnitcnt;ii++) {
  388:      TmpAexp[ii] = 0.0;
  389:   }
  390:   if( t->u_count > 0 ) {
  391:     for(eu_p = t->u_list; eu_p; eu_p = eu_p->ue_nextp) {
  392:       TmpAexp[eu_p->ue_index] = eu_p->ue_exp;
  393:       /* printf("(%d)^(%g) ",eu_p->ue_index,TmpAexp[eu_p->ue_exp]); */
  394:     }
  395:     /* printf("\n"); */
  396:   }
  397:   inorder_diff(UnitTree_p);
  398:   /*capa_mfree((char *)TmpAexp); capa_mfree((char *)TmpBexp);*/
  399:   
  400: }
  401: 
  402: void
  403: print_matches(Unit_t *t)
  404: {
  405:   double   scale, factor;
  406:   Unit_t  *tmp_p;
  407:   int      ii;
  408:   
  409:   scale = t->u_scale;
  410:   if( MinSquared == 0.0 ) {  /* exact match */
  411:     if( EquivUnitCnt > 0 ) {
  412:       printf(" Entered unit is equivalent to:\n");
  413:       for(ii=0;ii<EquivUnitCnt;ii++) {
  414:         tmp_p = EquivUnit[ii];
  415:         if( MinSquared ==  MinValue[ii] ) {
  416:           if( tmp_p->u_type == U_BASE ) {    /* if there is a base unit */
  417:             MinSquaredUnit_p = tmp_p;
  418:           }
  419:           factor = scale / tmp_p->u_scale;
  420:           printf(" <<%g %s>>", factor,U_SYMB(tmp_p));
  421:         }
  422:       }
  423:       printf("\n");
  424:       
  425:     }
  426:   } else {  /* no exact match */
  427:     if( EquivUnitCnt > 0 ) {
  428:       printf(" Entered unit is approximated by:\n");
  429:       for(ii=0;ii<EquivUnitCnt;ii++) {
  430:         tmp_p = EquivUnit[ii];
  431:         if( MinSquared ==  MinValue[ii] ) {
  432:           printf(" <<%s>> ", U_SYMB(tmp_p) );
  433:         }
  434:       }
  435:       printf("\n");
  436:     }
  437:   }
  438: }
  439: 
  440: /* ------------------------------------ */
  441: double
  442: u_squared_diff(Unit_t  *a, Unit_t *b)
  443: {
  444:   double   result;
  445:   double   squared_diff = 0.0;
  446:   int      ii;
  447:   Unit_E  *eu_p;
  448:   
  449:   
  450:   for(ii=0;ii<BaseUnitcnt;ii++) {
  451:     TmpAexp[ii] = 0.0;
  452:     TmpBexp[ii] = 0.0;
  453:   }
  454:   if( a->u_count > 0 ) {
  455:     for(eu_p= a->u_list; eu_p; eu_p = eu_p->ue_nextp) {
  456:       TmpAexp[eu_p->ue_index] = eu_p->ue_exp;
  457:     }
  458:   }
  459:   if( b->u_count > 0 ) {
  460:     for(eu_p= b->u_list; eu_p; eu_p = eu_p->ue_nextp) {
  461:       TmpBexp[eu_p->ue_index] = eu_p->ue_exp;
  462:       /* printf("Exp[%d]=%g ",ii,TmpBexp[ii]); */
  463:     }
  464:     /* printf("\n"); */
  465:   }
  466:   for(ii=0;ii<BaseUnitcnt;ii++) {
  467:     result = TmpAexp[ii] - TmpBexp[ii];
  468:     squared_diff = squared_diff + result*result;
  469:   }
  470:   
  471:   return (squared_diff);
  472: }
  473: 
  474: double
  475: u_sq_diff(Unit_t *b)
  476: {
  477:   double   result;
  478:   double   squared_diff = 0.0;
  479:   int      ii;
  480:   Unit_E  *eu_p;
  481:   
  482:   
  483:   for(ii=0;ii<BaseUnitcnt;ii++) {
  484:     TmpBexp[ii] = 0.0;
  485:   }
  486:   if( b->u_count > 0 ) {
  487:     for(eu_p= b->u_list; eu_p; eu_p = eu_p->ue_nextp) {
  488:       TmpBexp[eu_p->ue_index] = eu_p->ue_exp;
  489:       /* printf("Exp[%d]=%g ",ii,TmpBexp[ii]); */
  490:     }
  491:     /* printf("\n"); */
  492:   } else if( b->u_type == U_BASE  ) {
  493:     TmpBexp[b->u_index] = 1.0;
  494:   }
  495:   for(ii=0;ii<BaseUnitcnt;ii++) {
  496:     result = TmpAexp[ii] - TmpBexp[ii];
  497:     squared_diff = squared_diff + result*result;
  498:   }
  499:   
  500:   return (squared_diff);
  501: 
  502: }
  503: /* ------------------------------------ */
  504: 
  505: int
  506: inorder_diff(node_p) Unit_t  *node_p;
  507: {
  508:   int      result;
  509:   double   sq_diff=0.0;
  510:   
  511:   if( node_p == NULL )  return (1);
  512:   
  513:   result = inorder_diff(U_LEFT(node_p));
  514:   if( result ) {
  515:      sq_diff = u_sq_diff(node_p);
  516:      /*
  517:      printf("DIFF [%s,%s,%d] - [%s,%s,%d] = %g\n", 
  518:       U_SYMB(InqueryUnit_p), U_NAME(InqueryUnit_p),U_COUNT(InqueryUnit_p),
  519:       U_SYMB(node_p), U_NAME(node_p),U_COUNT(node_p),sq_diff);
  520:      */
  521:      if( MinSquared > sq_diff) {
  522:        MinSquaredUnit_p = node_p;
  523:        MinSquared = sq_diff;
  524:      } else if ( MinSquared == sq_diff) {
  525:        EquivUnit[EquivUnitCnt] = node_p;
  526:        MinValue[EquivUnitCnt] = sq_diff;
  527:        EquivUnitCnt++;
  528:      }
  529:   }
  530:   result = inorder_diff(U_RIGHT(node_p));
  531:   
  532:   return (result);
  533: }
  534: 
  535: 
  536: int
  537: alphaorder_utree(node_p) Unit_t  *node_p;
  538: {
  539:   int  result;
  540:   
  541:   if( node_p == NULL )  return (1);
  542:   
  543:   result = alphaorder_utree(U_LEFT(node_p));
  544:   if( result ) printf(" (%s,%s)\n", U_SYMB(node_p), U_NAME(node_p) );
  545:   result = alphaorder_utree(U_RIGHT(node_p));
  546:   
  547:   return (result);
  548: }
  549: 
  550: int
  551: w_alphaorder_utree(node_p) Unit_t  *node_p;
  552: {
  553:   int  result;
  554:   
  555:   if( node_p == NULL )  return (1);
  556:   
  557:   result = alphaorder_utree(U_LEFT(node_p));
  558:   if( result ) { 
  559:      printf(" (%s,%s)\n", U_SYMB(node_p), U_NAME(node_p) );
  560:   }
  561:   result = alphaorder_utree(U_RIGHT(node_p));
  562:   
  563:   return (result);
  564: }
  565: 
  566: /* --------------------------------------------------------------------- */
  567: void
  568: print_unit_tree(int mode)
  569: {
  570:   if( mode == 1 ) {
  571:     alphaorder_utree(UnitTree_p);
  572:   } else {
  573:     w_alphaorder_utree(UnitTree_p);
  574:   }
  575: }
  576: 
  577: 
  578: int
  579: preorder_utree(node_p) Unit_t  *node_p;
  580: {
  581:   int  result;
  582:   
  583:   if( node_p == NULL )  return (1);
  584:   printf("Preorder=[[%s,%s,%d]]\n", U_SYMB(node_p), U_NAME(node_p),U_COUNT(node_p));
  585:   result = preorder_utree(U_LEFT(node_p));
  586:   if( result ) result = preorder_utree(U_RIGHT(node_p));
  587:   return (result);
  588: }
  589: int
  590: inorder_utree(node_p) Unit_t  *node_p;
  591: {
  592:   int  result;
  593:   
  594:   if( node_p == NULL )  return (1);
  595:   
  596:   result = inorder_utree(U_LEFT(node_p));
  597:   if( result ) printf("INorder=[[%s,%s,%d]]\n", 
  598:     U_SYMB(node_p), U_NAME(node_p),U_COUNT(node_p));
  599:   result = inorder_utree(U_RIGHT(node_p));
  600:   
  601:   return (result);
  602: }
  603: int
  604: postorder_utree(node_p) Unit_t  *node_p;
  605: {
  606:   int  result;
  607:   
  608:   if( node_p == NULL )  return (1);
  609:   
  610:   result = postorder_utree(U_LEFT(node_p));
  611:   if( result ) result = postorder_utree(U_RIGHT(node_p));
  612:   if( result ) {
  613:     switch(U_TYPE(node_p)) {
  614:       case U_DERIVED:   print_unit_t(node_p);
  615:             break;
  616:       case U_CONSTANT:  printf("(%g)",U_SCALE(node_p));
  617:             break;
  618:       case U_OP_POWER:  printf("^");
  619:             break;
  620:       case U_OP_TIMES:  printf("*");
  621:             break;
  622:       case U_OP_PLUS:   printf("+");
  623:             break;
  624:       case U_OP_MINUS:  printf("-");
  625:             break;
  626:       case U_OP_DIVIDE: printf("/");
  627:             break;
  628:       default:          printf("()");
  629:             break;  
  630:     }
  631:   }
  632:   return (result);
  633: }
  634: 
  635: int
  636: postwalk_utree(Unit_t  *n_p)
  637: {
  638:   int  result;
  639:   
  640:   if( n_p == NULL )  return (1);
  641:   
  642:   result = postwalk_utree(U_LEFT(n_p));
  643:   if( result ) result = postwalk_utree(U_RIGHT(n_p));
  644:   if( result ) {
  645:     switch(U_TYPE(n_p)) {
  646:       case U_DERIVED:   Ptopidx++; Pstack[Ptopidx] = n_p;  /* push into stack */
  647:             break;
  648:       case U_CONSTANT:  Ptopidx++; Pstack[Ptopidx] = n_p;  /* push into stack */
  649:             break;
  650:       case U_OP_POWER:  printf("^");
  651:             break;
  652:       case U_OP_TIMES:  process_op(U_OP_TIMES);        /* process operator */
  653:             break;
  654:       case U_OP_PLUS:   printf("+");
  655:             break;
  656:       case U_OP_MINUS:  printf("-");
  657:             break;
  658:       case U_OP_DIVIDE: process_op(U_OP_DIVIDE);       /* process operator */
  659:             break;
  660:       default:          printf("()");
  661:             break;  
  662:     }
  663:   }
  664:   return (result);
  665: }
  666: 
  667: void
  668: process_op(int op)
  669: {
  670:   Unit_t  *ap, *bp;
  671:   double   exp_scale;
  672:   int      no_error=1;
  673:   
  674:   bp = Pstack[Ptopidx--]; 
  675:   ap = Pstack[Ptopidx--]; 
  676:   
  677:   switch(op) {
  678:     case U_OP_TIMES:  exp_scale = 1.0;  break;
  679:     case U_OP_DIVIDE: exp_scale = -1.0; break;
  680:     case U_OP_PLUS:   
  681:     case U_OP_MINUS:  no_error = u_pm_op(ap,bp,op);
  682:                       if(no_error) {
  683:                         Ptopidx++;
  684:                         Pstack[Ptopidx] = ap;
  685:                       }
  686:                       break;
  687:     default:          no_error=0; 
  688:                       printf("No such op on the parse tree!\n");
  689:           break;
  690:   }
  691:   if(no_error) {
  692:     u_copy_unit(ap, bp, exp_scale);
  693:     Ptopidx++;
  694:     Pstack[Ptopidx] = ap;
  695:   }
  696: }
  697: 
  698: void
  699: process_utree(Unit_t *t)
  700: {
  701:   Ptopidx=0;
  702:   postwalk_utree(t);
  703:   if( Ptopidx == 1 ) {
  704:     /* printf("Correctly parsed!\n"); */
  705:     printf("Unit:%s\n",Sbuf);
  706:     simplify_unit(Pstack[Ptopidx]);
  707:     Pstack[Ptopidx]->u_symbol[0]='\0';
  708:     /*sprintf(Pstack[Ptopidx]->u_symbol,"");*/
  709:     print_unit_t(Pstack[Ptopidx]);
  710:     u_find_name(Pstack[Ptopidx]);
  711:     print_matches(Pstack[Ptopidx]);
  712:     free_utree(t);
  713:   }
  714: }
  715: 
  716: /* ============================================================== */
  717: /*  called from capaCommon.c */
  718: /*                      */
  719: /*  UNIT_FAIL           */
  720: /*  NO_UNIT             */
  721: /*  result: UNIT_OK correct   */
  722: /*                            */
  723: /* -------------------------------------------------------------- */
  724: int  check_correct_unit(char *u_symb,Unit_t *t,double *scale)
  725: {
  726:   Unit_t   *ap;
  727:   int       result=UNIT_OK;
  728: 
  729: #ifdef UNIT_DBUG
  730:    if ((ufp=fopen("unit.DBUG","a"))==NULL) { fprintf(stderr,"Error: can't open login debug\n"); return; }
  731: #endif 
  732: 
  733:   while( isspace(*u_symb) )  u_symb++; 
  734:   /* <= change this to search from the end of string */
  735:   /* or to get rid of all the white spaces */
  736: 
  737: 
  738:   ap = parse_unit_expr(u_symb);
  739:   Ptopidx=0;
  740:   postwalk_utree(ap);
  741: #ifdef UNIT_DBUG
  742:   fprintf(ufp,"Ptopidx %d\n",Ptopidx);
  743: #endif
  744:   if( Ptopidx == 1 ) {
  745:     simplify_unit(Pstack[Ptopidx]);
  746:     
  747:     if( (Pstack[Ptopidx]->u_count != 0) ||
  748:         (Pstack[Ptopidx]->u_count == t->u_count) ) { /* has unit */
  749:       *scale = units_ratio(Pstack[Ptopidx], t);
  750:       if( *scale == 0.0 ) {
  751:         result = UNIT_FAIL;
  752:       }
  753:       free_utree(ap);
  754:     } else {
  755:       result = UNIT_FAIL;
  756:     }
  757:   } else { /* invalid unit representation */
  758:     result = UNIT_FAIL;
  759:   }
  760: #ifdef UNIT_DBUG
  761:   fclose(ufp);
  762: #endif 
  763:   return (result);
  764: }
  765: 
  766: /* ============================================================= */
  767: int
  768: free_units()
  769: {
  770:   free_utree(UnitTree_p);
  771:   UnitTree_p=NULL;
  772:   return 0;
  773: }
  774: 
  775: int
  776: free_utree(Unit_t  *t)
  777: {
  778:   int  result=1;
  779:   
  780:   if( t == NULL )  return (1);
  781:   u_postfree(t);
  782:   t=NULL;
  783:   
  784:   return (result);
  785: }
  786: 
  787: 
  788: int
  789: u_postfree(Unit_t  *t)
  790: {
  791:   int  result;
  792:   
  793:   if( t == NULL )  return (1);
  794:   
  795:   result = u_postfree(U_LEFT(t));
  796:   if( result ) result = u_postfree(U_RIGHT(t));
  797:   if( result ) {
  798:     if( t->u_comment ) {
  799:       capa_mfree((char *)t->u_comment);
  800:     }
  801:     freelist_unit_e(t->u_list);
  802:     capa_mfree((char *)t);
  803:   }
  804:   return (result);
  805: }
  806: 
  807: 
  808: void
  809: print_unit_t(Unit_t *t) 
  810: {
  811:   Unit_E  *ue_p;
  812: 
  813:   /* printf("  Unit::[%s,%d]= %g * ", t->u_symbol,t->u_count,t->u_scale); */
  814:   printf("  Unit::[%s] = %g * ", t->u_symbol, t->u_scale);
  815:   for(ue_p=t->u_list; ue_p ; ue_p = ue_p->ue_nextp) {
  816:     /*
  817:     printf("<%s,%d,%g,%g> ",ue_p->ue_symbol,ue_p->ue_index,ue_p->ue_scale,ue_p->ue_exp);
  818:     */
  819:     printf("(%g*%s^%g) ",ue_p->ue_scale,ue_p->ue_symbol,ue_p->ue_exp);
  820:   }
  821:   printf("\n");
  822: 
  823: }
  824: /*  ----------------------------------------------------------- */
  825: /*  copy the Unit_E linked list from b_p->u_list to a_p->u_list */
  826: /*   create some Unit_E nodes in a_p->u_list if needed and      */
  827: /*   leave b_p->u_list intact                                   */
  828: /*   a_p->u_scale is multiplied by pow(b_p->u_scale,exp_scale)  */
  829: /*  ----------------------------------------------------------- */
  830: void
  831: u_copy_unit(Unit_t *a_p, Unit_t *b_p, double exp_scale) 
  832: {
  833:   Unit_E  *oe_p, *ne_p, *last_p;
  834:   int      ii;
  835:   double   scale;
  836:   
  837:   if( a_p->u_count > 0 ) {
  838:     for(last_p = a_p->u_list; last_p->ue_nextp; last_p = last_p->ue_nextp) {  }
  839:   } else {
  840:     a_p->u_list = last_p = NULL;
  841:   }
  842:   if( b_p->u_count > 0 ) {
  843:     oe_p = b_p->u_list;
  844:     for(ii=0;ii<b_p->u_count;ii++) {
  845:       ne_p = (Unit_E *) capa_malloc(1, sizeof(Unit_E)); /* *** */
  846:       ne_p->ue_scale = oe_p->ue_scale;
  847:       ne_p->ue_exp   = oe_p->ue_exp * exp_scale;
  848:       ne_p->ue_index = oe_p->ue_index;
  849:       strcpy(ne_p->ue_symbol, oe_p->ue_symbol);
  850:       oe_p = oe_p->ue_nextp;
  851:       if( last_p == NULL ) {
  852:         a_p->u_list = ne_p;
  853:       } else {
  854:         last_p->ue_nextp = ne_p;
  855:       }
  856:       last_p = ne_p;
  857:       a_p->u_count++;
  858:     }
  859:     scale = pow(b_p->u_scale, exp_scale);
  860:     a_p->u_scale = a_p->u_scale * scale;
  861:     /* printf("Found scale=%g=%g\n",a_p->u_scale,b_p->u_scale); */
  862:   } else {  
  863:     if( b_p->u_type == U_BASE ) { 
  864:       /* *b_p is a base unit, so create a one element unit */
  865:       ne_p = (Unit_E *) capa_malloc(1, sizeof(Unit_E));   /* *** */
  866:       ne_p->ue_scale = b_p->u_scale;
  867:       ne_p->ue_exp   = exp_scale;
  868:       ne_p->ue_index = b_p->u_index;
  869:       strcpy(ne_p->ue_symbol, b_p->u_symbol);
  870:       if( last_p == NULL ) {
  871:         a_p->u_list = ne_p;
  872:       } else {
  873:         last_p->ue_nextp = ne_p;
  874:       }
  875:       last_p = ne_p;
  876:       a_p->u_count++;
  877:     } else if( b_p->u_type == U_DERIVED) {
  878:       /* derived units but without any units elements (scalar) */
  879:       /* do nothing, ignore this units  */
  880:     } else if( b_p->u_type == U_CONSTANT ) {
  881:       scale = pow(b_p->u_scale, exp_scale);
  882:       a_p->u_scale = a_p->u_scale * scale;
  883:     } else {
  884:       printf("This node has no u_e list and Type unknown\n");
  885:     }
  886:   }
  887: }
  888: int
  889: u_pm_op(Unit_t *a_p, Unit_t *b_p, int op)
  890: {
  891:   int    result=0;
  892:   
  893:   if( a_p->u_count > 0 || b_p->u_count > 0 ) {
  894:      printf(" cannot add or sub units at this moment\n");
  895:      return  result;
  896:   }
  897:   if( op == U_OP_PLUS ) {
  898:     a_p->u_scale = a_p->u_scale + b_p->u_scale;
  899:   } else {
  900:     a_p->u_scale = a_p->u_scale - b_p->u_scale;
  901:   }
  902:   return 1;
  903: }
  904: 
  905: int
  906: u_parsepower(char *unit_str)
  907: {
  908:   int   exp, ii;
  909:   char  *ch_p, exp_str[16];
  910: 
  911:   ch_p = unit_str;
  912:   while( isspace(*ch_p) ) { ch_p++; }
  913:   ii=0;
  914:   while( isdigit(*ch_p) ) {
  915:     ch_p++;
  916:   }
  917:   while( isspace(*ch_p) ) { ch_p++; }
  918:   if( *ch_p == '^' ) {
  919:     ch_p++;
  920:   }
  921:   while( isspace(*ch_p) ) { ch_p++; }
  922:   if( *ch_p == '{' ) {
  923:     ch_p++;
  924:   }
  925:   while( isspace(*ch_p) ) { ch_p++; }
  926:   ii=0;
  927:   while( isdigit(*ch_p) || *ch_p == '-' || *ch_p == '+' ) {
  928:     exp_str[ii++] = *ch_p;
  929:     ch_p++;
  930:   }
  931:   exp_str[ii]=0;
  932:   sscanf(exp_str,"%d", &exp);
  933:   return (exp);
  934: }
  935: 
  936: /* ------------------------------------------- */
  937: /* scan a number of the form indicated below from the input buffer */
  938: /* 1.234^{2.3} */
  939: /*  1e */
  940: double
  941: s_scan_number(char *buf, int idx, int *r_idx)
  942: {
  943:   double   num; 
  944:   float    exp; 
  945:   double   result;
  946:   int      ii=0;
  947:   char     num_str[QUARTER_K];
  948:   
  949:   num_str[ii]=0;
  950:   
  951:   if( buf[idx] == '-' ) {
  952:     num_str[ii++] = '-';
  953:     idx++;
  954:   }
  955:   while( isdigit(buf[idx]) || buf[idx] == '.' ) { 
  956:       num_str[ii++] = buf[idx];
  957:       idx++;
  958:   }
  959:   if( buf[idx] == 'E' || buf[idx] == 'e' ) {
  960:     if( buf[idx+1] == '-' || isdigit(buf[idx+1]) ) {
  961:       num_str[ii++] = buf[idx++];
  962:       num_str[ii++] = buf[idx++];
  963:       while( isdigit(buf[idx]) ) {
  964:         num_str[ii++] = buf[idx];
  965:         idx++;
  966:       }
  967:     }
  968:   }
  969:   num_str[ii] = 0; /* terminate the str */
  970:   sscanf(num_str,"%lg", &num);
  971:   /* printf("Scan number %s got %g\n",num_str, num); fflush(stdout); */
  972:   result = num;
  973:   if( buf[idx] == '^' ) {
  974:     idx++;
  975:     while( isspace(buf[idx]) ) { idx++; }
  976:     if( buf[idx] == '{' ) {  /* need to scan for a matching right bracket */
  977:         idx++;
  978:     }
  979:     while( isspace(buf[idx]) ) { idx++; }
  980:     num_str[0]=0;
  981:     if( isdigit(buf[idx]) || buf[idx] == '+' || buf[idx] == '-' )  {
  982:        ii=0;
  983:        while( isdigit(buf[idx]) || buf[idx] == '.' || buf[idx] == '+' || buf[idx] == '-' ) {
  984:          num_str[ii++] = buf[idx];
  985:          idx++;
  986:        }
  987:        num_str[ii]=0;
  988:     }
  989:     while( isspace(buf[idx]) ) { idx++; }
  990:     if( buf[idx] == '}' ) {
  991:       idx++;
  992:     }
  993:     sscanf(num_str,"%f", &exp);
  994:     /* printf("Scan exp number %s got %g\n",num_str, exp); fflush(stdout); */
  995:     
  996:     result = pow(num, (double)exp);
  997:     /* printf("{%d^%d}=%g\n",num, exp,result); */
  998:   }
  999:   *r_idx = idx;
 1000:   return (result);
 1001: }
 1002: 
 1003: 
 1004: double
 1005: s_scan_symbol(char *buf,char *symb_p,int idx, int *r_idx)
 1006: {
 1007:   char     num_str[QUARTER_K];
 1008:   int      ii=0;
 1009:   double   r_exp=1.0;
 1010:   
 1011:   symb_p[0]=0;
 1012:   while( isalnum(buf[idx]) || buf[idx] == '_' ) {
 1013:     symb_p[ii++] = buf[idx];
 1014:     idx++;
 1015:   }
 1016:   symb_p[ii]=0;
 1017:   
 1018:   if( buf[idx] == '^' ) {  /* look for either left bracket or a number */
 1019:     idx++;
 1020:     while( isspace(buf[idx]) ) { idx++; } 
 1021:     if( buf[idx] == '{' ) {  /* need to scan for a matching right bracket */
 1022:       idx++;
 1023:     }
 1024:     while( isspace(buf[idx]) ) { idx++; }
 1025:     if( isdigit(buf[idx]) || buf[idx] == '.' || buf[idx] == '+' || buf[idx] == '-'  )  {
 1026:       ii=0; num_str[ii] = 0;
 1027:       while( isdigit(buf[idx]) || buf[idx] == '.' || buf[idx] == '+' || buf[idx] == '-' ) {
 1028:         num_str[ii++] = buf[idx];
 1029:         idx++;
 1030:       }
 1031:       num_str[ii]=0;
 1032:     }
 1033:     while( isspace(buf[idx]) ) { idx++; }
 1034:     if( buf[idx] == '}' ) {
 1035:       idx++;
 1036:     }
 1037:     sscanf(num_str,"%lg", &r_exp);  /* power could be of type float */
 1038:     /* printf("[scan symb with power %s ^ %lg] ",symb_p, r_exp); fflush(stdout);  */
 1039:   }
 1040:   *r_idx = idx;
 1041:   return (r_exp);
 1042: }
 1043: 
 1044: /*  return: err_code    0    parsed ok */
 1045: /*                      1    symbol is of length 1, not found in the tree */
 1046: /*                      2    symbol not found in the tree  */
 1047: /*                      3    symbol parsed as prefix symb, but symb not found */
 1048: /*                      4    symbol length is 0 or negative */
 1049: int
 1050: s_process_symb(char *symb_str,Unit_t  *cu_p,double exp)
 1051: {
 1052:   int      len;
 1053:   Unit_t  *au_p;
 1054:   int      c_result;
 1055:   int      ii;
 1056:   char     tmp_str[ANSWER_STRING_LENG];
 1057:   int      err_code = 0;
 1058:   double   d_exp;
 1059:   
 1060:   len = strlen(symb_str);
 1061:   if( len > 0 ) {
 1062:     au_p = u_find_symb(symb_str, UnitTree_p, &c_result);
 1063:     if( c_result == 1 ) {  /* if found, copy the definition over */
 1064:       u_copy_unit(cu_p, au_p, exp);
 1065:     } else {
 1066:       if( len > 1 ) {
 1067:         if( PrefixTbl[ (int)symb_str[0] ] != 0 ) {  /* prefix is defined */
 1068:           for(ii=1;ii<len;ii++) {
 1069:              tmp_str[ii-1] = symb_str[ii];
 1070:           }
 1071:           tmp_str[len-1]=0;
 1072:           au_p = u_find_symb(tmp_str, UnitTree_p, &c_result);
 1073:           if( c_result == 1 ) {
 1074:               /* printf("[%s] ", tmp_str); */
 1075:             u_copy_unit(cu_p, au_p, exp);
 1076:             d_exp = (double)PrefixTbl[ (int)symb_str[0] ] * exp;
 1077:             cu_p->u_scale = cu_p->u_scale * pow((double)10.0,d_exp);
 1078:           } else { /* unit *tmp_str not found */
 1079:             /*printf("The unit: %s, not defined\n",tmp_str);*/
 1080:             err_code = 3;
 1081:           }
 1082:         } else {
 1083:           /*printf("<<%s>>", symb_str);*/
 1084:           err_code = 2;
 1085:         }
 1086:       } else {/* len == 1 */
 1087: 	/*printf("The unit: %s, not defined\n",symb_str);*/
 1088:         err_code = 1;
 1089:       }
 1090:     }
 1091:   } else {
 1092:     err_code = 4;
 1093:   }
 1094:   return (err_code);
 1095: }
 1096: 
 1097: Unit_t *
 1098: u_parse_unit(char *unit_str)
 1099: {
 1100:   char      *ch;
 1101:   char       symb_str[QUARTER_K];
 1102:   int        idx;
 1103:   double     exp_sign;
 1104:   int        s_result;
 1105:   int        not_done;
 1106:   double     s_number,  offset;
 1107:   double     tmp_scale, symb_exp, exp;
 1108:   Unit_t    *cu_p;
 1109: 
 1110:   gUnitError=0;
 1111:   ch   = unit_str;
 1112:   cu_p = (Unit_t *) capa_malloc(1, sizeof(Unit_t)); /* *** */
 1113:   cu_p->u_scale = 1.0;
 1114:   idx = 0;  not_done = 1;
 1115:   exp_sign = 1.0; exp = 1;
 1116:   symb_str[0] = 0;
 1117: 
 1118:   while( isspace(*ch) ) { ch++; }    /* trim leading white spaces */
 1119:   /* fprintf(stdout,"PARSE |%s|\n", unit_str); */
 1120:   while( not_done ) {
 1121:     if( isdigit(ch[idx]) || ch[idx] == '-' ) {  /* rule 1: number */
 1122:        s_number = s_scan_number(ch,idx,&idx);
 1123:        
 1124:        tmp_scale = pow(s_number,exp_sign);
 1125:        /* printf("S=%g,Power(%g,%d)=%g\n", 
 1126:           cu_p->u_scale, s_number,exp_sign, tmp_scale);
 1127:        */
 1128:        cu_p->u_scale = cu_p->u_scale * tmp_scale;
 1129:        
 1130:        /* printf("[Scale %g=%g^%g] ",tmp_scale,s_number,exp_sign); */
 1131:        while( isspace(ch[idx]) ) { idx++; }
 1132:     } else {
 1133:       if( isalpha(ch[idx]) ) { /* rule 2: unit_symbol ^ exp */
 1134: 	symb_str[0] = 0;
 1135: 	symb_exp = s_scan_symbol(ch,symb_str,idx,&idx);
 1136: 	exp = (double)exp_sign * symb_exp;
 1137: 	/* printf("[scanned %s ^ (%g * %g)] ", symb_str,symb_exp,exp_sign); fflush(stdout); */
 1138: 	s_result = s_process_symb(symb_str,cu_p,exp);
 1139: 	if( s_result > 0 ) {
 1140: 	  /* printf("Error processing symbol [%s]\n", symb_str); */
 1141: 	  gUnitError = 1;
 1142: 	}
 1143: 	while( isspace(ch[idx]) ) { idx++; }
 1144:       } else {
 1145: 	if( ch[idx] == '*' || ch[idx] == '/' ) {
 1146: 	  if( ch[idx] == '/' ) { /* printf("[/] "); */ exp_sign = -1.0; }
 1147: 	  idx++;
 1148: 	  while( isspace(ch[idx]) ) { idx++; }
 1149: 	} else {
 1150: 	  if( ch[idx] == '+' || ch[idx] == '-' ) {
 1151: 	    idx++;
 1152: 	    while( isspace(ch[idx]) ) { idx++; }
 1153: 	    offset = s_scan_number(ch,idx,&idx);
 1154: 	    /* printf("[Offset %g] ",offset); */
 1155: 	  } else {
 1156: 	    if( ch[idx] == 0 ) {  /* end of input string */
 1157: 	      not_done = 0;
 1158: 	      /* printf("\n"); */
 1159: 	    } else {
 1160: 	      /* garbage in unit string */
 1161: 	      gUnitError = 1;
 1162: 	      not_done=0;
 1163: 	    }
 1164: 	  }
 1165: 	}
 1166:       }
 1167:     }
 1168:   }
 1169:   simplify_unit(cu_p);
 1170:   return (cu_p);
 1171: 
 1172: }
 1173: 
 1174: void
 1175: u_getunit(FILE *f)
 1176: {
 1177:   register int  unit_type;
 1178:   register int  c;
 1179:   int      power, result;
 1180:   char   *name_p, *symbol_p, *comment_p, *unit_p;
 1181:   
 1182:   BaseUnitcnt = 0;
 1183:   free_utree(UnitTree_p);
 1184:   UnitTree_p = NULL;
 1185:   c_moveto_unit(f);  /* move the file position to << */
 1186:   do {
 1187:     c_ignorewhite(f);
 1188:     c = getc(f); ungetc(c,f);
 1189:     if( c == '<' ) {
 1190:       unit_type = c_gettype(f);
 1191:     }
 1192:     if( c != EOF ) {
 1193:       switch(unit_type) {
 1194:         case U_BASE:
 1195:                name_p    = c_getword(f);    symbol_p = c_getword(f); 
 1196:                comment_p = c_getcomment(f);
 1197:                /*
 1198:                printf("B Unit: N=%s,S=%s,C=%s\n",name_p,symbol_p,comment_p);
 1199:                */
 1200:                result = u_insert_baseunit(name_p,symbol_p,comment_p);
 1201:                if( result == 1 ) {
 1202:                  printf("The entry %s is duplicated\n",symbol_p);
 1203:                }
 1204:                free(name_p); free(symbol_p); free(comment_p);
 1205:                break;
 1206:         case U_DERIVED:
 1207:                name_p    = c_getword(f);    symbol_p = c_getword(f);
 1208:                unit_p    = c_getstring(f);  comment_p = c_getcomment(f);
 1209:                /*
 1210:                printf("D Unit: N=%s,S=%s,C=%s,U=%s\n",
 1211:                        name_p,symbol_p,comment_p,unit_p);
 1212:                */
 1213:                result = u_insert_derived(name_p,symbol_p,comment_p,unit_p);
 1214:                if( result == 1 ) {
 1215:                  printf("The entry %s is duplicated\n",symbol_p);
 1216:                }
 1217:                /* preorder_utree(UnitTree_p); */ 
 1218:                free(name_p); free(symbol_p); free(comment_p); free(unit_p);
 1219:                break;
 1220:         case U_PREFIX:
 1221:                name_p    = c_getword(f);    symbol_p = c_getword(f);
 1222:                unit_p    = c_getstring(f);
 1223:                /*
 1224:                printf("Prefix: N=%s,S=%s,U=%s\n",
 1225:                        name_p,symbol_p,unit_p);
 1226:                */
 1227:                power = u_parsepower(unit_p);
 1228:                PrefixTbl[ (int)(*symbol_p) ] = power;
 1229:                /* printf("    P[%c]=%d\n",*symbol_p,power);  */
 1230:                free(name_p); free(symbol_p); free(unit_p);
 1231:                break;
 1232:         case U_CONSTANT:
 1233:                symbol_p = c_getword(f);  unit_p    = c_getstring(f);
 1234:                comment_p = c_getcomment(f);
 1235:                /*
 1236:                printf("Const.: S=%s,C=%s,U=%s\n",
 1237:                        symbol_p,comment_p,unit_p);
 1238:                */
 1239:                break;
 1240:         case U_UNKNOWN:
 1241:                /* printf("Unknown\n"); */
 1242:                break;
 1243:       }
 1244:     }
 1245:   } while ( c != EOF );
 1246: 
 1247: }
 1248: 
 1249: /* ----------------------------------------------------------------- */
 1250: /* comparing unit symbol names should be case sensitive */
 1251: int
 1252: comp_unit_symb(a, b) char *a; char *b;
 1253: {
 1254:   return strncmp(a,b,SYMBOL_MAXLEN);
 1255: }
 1256: 
 1257: 
 1258: Unit_t *
 1259: u_splay (char *name, Unit_t *t) 
 1260: {
 1261:   Unit_t     N;
 1262:   Unit_t    *l, *r, *y;
 1263: 
 1264:   if (t == NULL)  return t;
 1265:   N.u_left  = (Unit_t *)NULL;
 1266:   N.u_right = (Unit_t *)NULL;
 1267:   l = r = &N;
 1268: 
 1269:   for (;;) {
 1270:     if ( comp_unit_symb(name,t->u_symbol) < 0 ) {
 1271:       if (t->u_left == NULL)  break;
 1272:       if ( comp_unit_symb(name, (t->u_left)->u_symbol ) < 0 ) {
 1273:         y = t->u_left; t->u_left = y->u_right; y->u_right = t; t = y;
 1274:         if (t->u_left == NULL) break;
 1275:       }
 1276:       r->u_left = t; r = t; t = t->u_left;
 1277:     } else if ( comp_unit_symb(name,t->u_symbol) > 0 ) {
 1278:         if (t->u_right == NULL) break;
 1279:         if ( comp_unit_symb(name, (t->u_right)->u_symbol ) > 0 ) {
 1280:           y = t->u_right; t->u_right = y->u_left; y->u_left = t; t = y;
 1281:           if (t->u_right == NULL) break;
 1282:         }
 1283:         l->u_right = t; l = t; t = t->u_right;
 1284:     } else {
 1285:       break;
 1286:     }
 1287:   }
 1288:   l->u_right = t->u_left; r->u_left = t->u_right; t->u_left = N.u_right;
 1289:   t->u_right = N.u_left;
 1290:   return t;
 1291: }
 1292: 
 1293: 
 1294: 
 1295: /* returns: 0  correctly inserted */
 1296: /*          -1 error */
 1297: /*          1  duplicate entry    */
 1298: 
 1299: int
 1300: u_insert_baseunit(n_p,s_p,c_p) char  *n_p, *s_p, *c_p;
 1301: {
 1302:   Unit_t   *new_p, *t;
 1303:   int       len;
 1304:  
 1305:   new_p = (Unit_t *) capa_malloc(1, sizeof(Unit_t)); /* *** */
 1306:   if (new_p == NULL) {
 1307:       printf("Ran out of space\n");
 1308:       return(-1);
 1309:   }
 1310:   strcpy(new_p->u_symbol, s_p);
 1311:   strcpy(new_p->u_name, n_p);
 1312:   len = strlen(c_p);
 1313:   new_p->u_comment = (char *) capa_malloc((len+1), sizeof(char)); /* *** */
 1314:   strcpy(new_p->u_comment,c_p);
 1315:   BaseUnitcnt++;
 1316:   new_p->u_index  = BaseUnitcnt;
 1317:   new_p->u_type   = U_BASE;
 1318:   new_p->u_scale  = 1.0;
 1319:   new_p->u_offset = 0.0;
 1320:   new_p->u_count  = 0;
 1321:   new_p->u_list   = NULL;
 1322:  
 1323:   if (UnitTree_p == NULL) {  /* a new unit tree */
 1324:       UnitTree_p = new_p;
 1325:       return (0);
 1326:   }
 1327:   t = u_splay(s_p, UnitTree_p);
 1328:   if ( comp_unit_symb(s_p,t->u_symbol) < 0 ) {
 1329:         new_p->u_left = t->u_left; new_p->u_right = t;
 1330:         t->u_left = NULL;
 1331:         /* Splay_cnt++;  */
 1332:         UnitTree_p = new_p;
 1333:         return (0);
 1334:   } else if ( comp_unit_symb(s_p,t->u_symbol) > 0 ) {
 1335:         new_p->u_right = t->u_right; new_p->u_left = t;
 1336:         t->u_right = NULL;
 1337:         /* Splay_cnt++; */
 1338:         UnitTree_p = new_p;
 1339:         return (0);
 1340:   } else {    /* name and t->u_symbol is the same, which means found it */
 1341:         capa_mfree( (char *)new_p );
 1342:         UnitTree_p = t;
 1343:         return (1);
 1344:   }
 1345: }
 1346: 
 1347: 
 1348: int
 1349: u_insert_derived(n_p,s_p,c_p,u_p)char  *n_p, *s_p, *c_p, *u_p;
 1350: {
 1351:   Unit_t  *new_p, *t;
 1352:   int      c_result, len;
 1353:   
 1354:   /* inorder_utree(UnitTree_p); */
 1355:   t = u_splay(s_p, UnitTree_p);
 1356:   UnitTree_p = t;
 1357:   c_result = comp_unit_symb(s_p,t->u_symbol);
 1358:   if ( c_result == 0 ) {
 1359:     UnitTree_p = t;
 1360:     return (1);
 1361:   }
 1362:   
 1363:   /* prepare a new Unit_t */
 1364:   new_p = u_parse_unit(u_p);
 1365:   strcpy(new_p->u_symbol,s_p);
 1366:   strcpy(new_p->u_name, n_p);
 1367:   new_p->u_type = U_DERIVED;
 1368:   len = strlen(c_p);
 1369:   new_p->u_comment = (char *) capa_malloc((len+1), sizeof(char)); /* *** */
 1370:   strcpy(new_p->u_comment,c_p);
 1371:   
 1372:   simplify_unit(new_p);
 1373:   /*
 1374:   printf("Derived Unit:%s\n",new_p->u_name);
 1375:   print_unit_t(new_p); 
 1376:   */
 1377:   if (c_result < 0 ) {
 1378:     new_p->u_left = t->u_left; new_p->u_right = t;
 1379:     t->u_left = NULL;
 1380:   } else {  /* c_result > 0 */
 1381:     new_p->u_right = t->u_right; new_p->u_left = t;
 1382:     t->u_right = NULL;
 1383:   }
 1384:   UnitTree_p = new_p;
 1385:   
 1386:   return (0);
 1387:   
 1388: }
 1389: 
 1390: void
 1391: freelist_unit_e(Unit_E *ue_p) 
 1392: {
 1393:   Unit_E  *curr_p, *next_p;
 1394:   
 1395:   if( ue_p != NULL ) {
 1396:     next_p = ue_p->ue_nextp;
 1397:     curr_p = ue_p;
 1398:     if( next_p == NULL ) {
 1399:       capa_mfree((char *)curr_p);
 1400:     } else {
 1401:       for( curr_p = ue_p; next_p; curr_p = next_p, next_p = next_p->ue_nextp) {
 1402:         capa_mfree((char *)curr_p);
 1403:       }
 1404:       capa_mfree((char *)curr_p);
 1405:     }
 1406:   }
 1407: }
 1408: void
 1409: simplify_unit(u_p) Unit_t *u_p;
 1410: {
 1411:   Unit_E   *eu_p, *prev_p;
 1412:   int       ii, idx;
 1413:   
 1414:   /* walk through u_list and replace those u_index = -1 with */
 1415:   /* a linked list of basic unit. */
 1416:   /* u_msort_main() the whole u_list */
 1417:   /* combine those units with same u_index */
 1418:   for(ii=0;ii<BaseUnitcnt;ii++) {
 1419:     CScale[ii] = 0.0;
 1420:     CExp[ii] = 0.0;
 1421:   }
 1422:   /*
 1423:   printf("Before Simplify:: \n");
 1424:   print_unit_t(u_p);
 1425:   */
 1426:   if( u_p->u_count > 0 ) {
 1427:     
 1428:     for(eu_p=u_p->u_list; eu_p; eu_p = eu_p->ue_nextp) {
 1429:       idx = eu_p->ue_index;
 1430:       if( CScale[idx] == 0.0 ) {
 1431:         CScale[idx] = 1.0;
 1432:         strcpy(CSymb[idx],eu_p->ue_symbol);
 1433:       }
 1434:       CScale[idx] = CScale[idx] * eu_p->ue_scale;
 1435:       CExp[idx] = CExp[idx] + eu_p->ue_exp;
 1436:     }
 1437:     /* debugging 
 1438:     for(ii=0;ii<BaseUnitcnt;ii++) {
 1439:       if( CScale[ii] != 0.0 ) {
 1440:         printf("(%d)%s,S=%g,E=%g\n",ii,CSymb[ii],CScale[ii], CExp[ii]);
 1441:       }
 1442:       if( CExp[ii] == 0.0 ) {
 1443:         printf("(%d)%s,S=%g,Exp=%g\n",ii,CSymb[ii],CScale[ii], CExp[ii]);
 1444:       }
 1445:     }
 1446:     */
 1447:     freelist_unit_e(u_p->u_list);
 1448:     prev_p = u_p->u_list = NULL;
 1449:     u_p->u_count = 0;
 1450:     for(ii=0;ii<BaseUnitcnt;ii++) {
 1451:       if( CScale[ii] != 0.0 && CExp[ii] != 0) {
 1452:         eu_p = (Unit_E *)capa_malloc(1,sizeof(Unit_E)); /* ***************** */
 1453:         eu_p->ue_scale = 1.0;
 1454:         eu_p->ue_exp = CExp[ii];
 1455:         eu_p->ue_index = ii;
 1456:         strcpy(eu_p->ue_symbol,CSymb[ii]);
 1457:         if( prev_p == NULL) {
 1458:           u_p->u_list = prev_p = eu_p;
 1459:         } else {
 1460:           prev_p->ue_nextp = eu_p;
 1461:           prev_p = eu_p;
 1462:         }
 1463:         u_p->u_count++;
 1464:       }
 1465:     }
 1466:   }
 1467:   /* 
 1468:   printf("After Simplify:: \n");
 1469:   print_unit_t(u_p);
 1470:   */
 1471: }
 1472: 
 1473: /* before comparing two units, make sure they are of  basic form */
 1474: /* compares if two units are equal */
 1475: /* equality returns 1 */
 1476: 
 1477: int  is_units_equal(Unit_t *u1_p, Unit_t *u2_p)
 1478: {
 1479:   int      result=1;
 1480:   Unit_E  *a_p, *b_p;
 1481:   
 1482:   if( (u1_p->u_count == u2_p->u_count) && 
 1483:       (u1_p->u_scale == u2_p->u_scale) ) {
 1484:     for(a_p=u1_p->u_list, b_p=u2_p->u_list;
 1485:         a_p; a_p=a_p->ue_nextp, b_p=b_p->ue_nextp) {
 1486:       if(a_p->ue_index != b_p->ue_index ||
 1487:          a_p->ue_scale != b_p->ue_scale ||
 1488:          a_p->ue_exp   != b_p->ue_exp ) {
 1489:         result=0;
 1490:         break;
 1491:       }
 1492:     }
 1493:   } else {
 1494:     result=0;
 1495:   }
 1496:   return (result);
 1497: }
 1498: /*     input : both are the simplest units */
 1499: /*     result: 0.0 means they are not of euquvalent units */
 1500: /*             the ratio of u1 / u2   */
 1501: double  units_ratio(Unit_t *u1_p, Unit_t *u2_p)
 1502: {
 1503:   double   ratio=1.0;
 1504:   Unit_E  *a_p, *b_p;
 1505:   
 1506:   if( (u1_p->u_count == u2_p->u_count) ) {
 1507:     for(a_p=u1_p->u_list, b_p=u2_p->u_list;
 1508:         a_p; a_p=a_p->ue_nextp, b_p=b_p->ue_nextp) {
 1509:       if(a_p->ue_index != b_p->ue_index ||
 1510:          a_p->ue_scale != b_p->ue_scale ||
 1511:          a_p->ue_exp   != b_p->ue_exp ) {
 1512:         ratio=0.0;
 1513:         break;
 1514:       }
 1515:     }
 1516:   } else {
 1517:     ratio=0.0;
 1518:   }
 1519:   if( (ratio != 0.0) && (u2_p->u_scale != 0.0 )  ) {
 1520:     ratio = u1_p->u_scale / u2_p->u_scale;
 1521:   }
 1522:   return (ratio);
 1523: }
 1524: 
 1525: /* ------------- The Grammar of Units Parser --------------------
 1526: 
 1527:   scan_unit_expr()  -->  scan_basic_block()
 1528:                     -->  scan_basic_block() '+' scan_basic_block() 
 1529:                     -->  scan_basic_block() '-' scan_basic_block()
 1530:  
 1531:   scan_num_expr()   -->  scan_num_block()
 1532:                     -->  scan_num_block() '+' scan_num_block()
 1533:                     -->  scan_num_block() '-' scan_num_block()
 1534:                     
 1535:   scan_basic_block()-->  scan_basic_term()
 1536:                     -->  scan_basic_term()  '*' scan_basic_term()
 1537:                     -->  scan_basic_term()  ' ' scan_basic_term()
 1538:                     -->  scan_basic_term()  '/' scan_basic_term()
 1539: 
 1540:   scan_num_block()  -->  scan_num_term()
 1541:                     -->  scan_num_term()  '*' scan_num_term()
 1542:                     -->  scan_num_term()  ' ' scan_num_term()
 1543:                     -->  scan_num_term()  '/' scan_num_term()
 1544:   
 1545:   
 1546:   scan_basic_term() -->  scan_unit_item()          
 1547:                     -->  scan_num_item()
 1548:                     -->  '(' scan_basic_block() ')'
 1549:                     -->  '{' scan_basic_block() '}'
 1550: 
 1551:   scan_num_term()   -->  scan_num_item()<sp>*
 1552:                     --> '-' scan_num_item()<sp>*
 1553:                     --> '(' scan_num_expr() ')'
 1554:                     --> '{' scan_num_expr() '}'
 1555: 
 1556:   scan_unit_item()  -->  UNIT<sp>*
 1557:                     -->  UNIT<sp>*  '^' <sp>* scan_num_term()
 1558:                     
 1559:   scan_num_item()   -->  FLOAT<sp>*
 1560:                     -->  FLOAT<sp>* '^' <sp>* scan_num_term()
 1561:   
 1562:   scan_FLOAT()      -->  [0-9]+([eE][+-]?[0-9]+)*
 1563:   
 1564:   p_new_unit()      -->  [a-Z]+[a-Z0-9_]*
 1565:   
 1566:   -----------------------------------------
 1567:   U.expr  := B.block
 1568:            | B.block '+' B.block
 1569:            | B.block '-' B.block
 1570:            
 1571:   N.expr  := N.block 
 1572:            | N.block '+' N.block
 1573:            | N.block '-' N.block
 1574:  
 1575:  To allow for operations like (J/N)^2 or {N/m}^2 (N/J)^3 
 1576:  
 1577:  
 1578:   B.block := B.term
 1579:            | B.term ' ' B.term
 1580:            | B.term '*' B.term
 1581:            | B.term '/' B.term
 1582:            
 1583:   N.block := N.term 
 1584:            | N.term ' ' N.term
 1585:            | N.term '*' N.term
 1586:            | N.term '/' N.term
 1587:            
 1588:   B.term  := U.item
 1589:            | N.item
 1590:            | '(' B.block ')'
 1591:            | '{' B.block '}'
 1592:            
 1593:            | '(' B.block ')' ^ N.term
 1594:            | '{' B.block '}' ^ N.term
 1595:            
 1596:   N.term  := N.item
 1597:            | '-' N.item
 1598:            | '(' N.expr ')'
 1599:            | '{' N.expr '}'
 1600:            
 1601:   U.item  := UNIT
 1602:            | UNIT '^' N.term
 1603:            
 1604:   N.item  := FLOAT
 1605:            | FLOAT '^' N.term
 1606:            
 1607:   UNIT    := [a-Z]+[a-Z0-9_]*
 1608:   
 1609:   FLOAT   := [0-9]+([eE][+-]?[0-9]+)*
 1610:   
 1611:  ------------------------------------------------------------------- */
 1612:  
 1613: Unit_t *
 1614: p_new_op(Unit_t *left_p, int op, Unit_t *right_p)
 1615: {
 1616:   Unit_t  *new_p;
 1617:   
 1618:   new_p = (Unit_t *) capa_malloc(1, sizeof(Unit_t));
 1619:   if (new_p == NULL) {
 1620:       printf("Ran out of space\n");
 1621:       return(NULL);
 1622:   }
 1623:   new_p->u_left   = left_p;
 1624:   new_p->u_right  = right_p;
 1625:   new_p->u_scale  = 0.0;
 1626:   new_p->u_type   = op;
 1627:   new_p->u_offset = 0.0;
 1628:   new_p->u_count  = 0;
 1629:   new_p->u_list   = NULL;
 1630:   
 1631:   return (new_p);
 1632: }
 1633: 
 1634: Unit_t *
 1635: p_new_num(Unit_t *left_p, double num, Unit_t *right_p)
 1636: {
 1637:   Unit_t  *new_p;
 1638:   
 1639:   new_p = (Unit_t *) capa_malloc(1, sizeof(Unit_t));
 1640:   if (new_p == NULL) {
 1641:       printf("Ran out of space\n");
 1642:       return(NULL);
 1643:   }
 1644:   
 1645:   new_p->u_left   = left_p;
 1646:   new_p->u_right  = right_p;
 1647:   new_p->u_scale  = num;
 1648:   new_p->u_type   = U_CONSTANT;
 1649:   new_p->u_offset = 0.0;
 1650:   new_p->u_count  = 0;
 1651:   new_p->u_list   = NULL;
 1652:   
 1653:   return (new_p);
 1654: }
 1655: 
 1656: Unit_t *
 1657: p_new_unit(Unit_t *left_p, Unit_t *right_p)
 1658: {
 1659:   char     symb_str[ANSWER_STRING_LENG];
 1660:   int      ii=0;
 1661:   int      len;
 1662:   Unit_t  *au_p, *cu_p;
 1663:   int      c_result;
 1664:   char     tmp_str[ANSWER_STRING_LENG];
 1665:   int      err_code = 0;
 1666:   double   d_exp;
 1667:   
 1668:   symb_str[ii]=0;
 1669:   while( isspace(Sbuf[Sidx]) ) { Sidx++; }
 1670:   while( isalnum(Sbuf[Sidx]) || Sbuf[Sidx] == '_' ) {
 1671:     symb_str[ii++] = Sbuf[Sidx];
 1672:     Sidx++;
 1673:   }
 1674:   symb_str[ii]=0;
 1675:   /* printf("<U %s>", symb_str); */
 1676:   cu_p = (Unit_t *) capa_malloc(1, sizeof(Unit_t));
 1677:   strcpy(cu_p->u_symbol,symb_str);
 1678:   cu_p->u_left   = left_p;
 1679:   cu_p->u_right  = right_p;
 1680:   cu_p->u_scale  = 1.0;
 1681:   cu_p->u_type   = U_DERIVED;
 1682:   cu_p->u_offset = 0.0;
 1683:   cu_p->u_count  = 0;
 1684:   cu_p->u_list   = NULL;
 1685:   
 1686:   len = strlen(symb_str);
 1687:   if( len > 0 ) {
 1688:     au_p = u_find_symb(symb_str, UnitTree_p, &c_result);
 1689:     if( c_result == 1 ) {  /* if found, copy the definition over */
 1690:       u_copy_unit(cu_p, au_p, 1);
 1691:     } else {
 1692:       if( len > 1 ) {
 1693:         if( PrefixTbl[ (int)symb_str[0] ] != 0 ) {  /* prefix is defined */
 1694:           for(ii=1;ii<len;ii++) {
 1695:              tmp_str[ii-1] = symb_str[ii];
 1696:           }
 1697:           tmp_str[len-1]=0;
 1698:           au_p = u_find_symb(tmp_str, UnitTree_p, &c_result);
 1699:           if( c_result == 1 ) {
 1700:               /* printf("[%s] ", tmp_str); */
 1701:             u_copy_unit(cu_p, au_p, 1);
 1702:             d_exp = (double)PrefixTbl[ (int)symb_str[0] ];
 1703:             cu_p->u_scale = cu_p->u_scale * pow((double)10.0,d_exp);
 1704:           } else { /* unit *tmp_str not found */
 1705:             /* printf(" not found\n"); */
 1706:             err_code = 3;
 1707:           }
 1708:         } else {
 1709:           /* printf("<<%s>>", symb_str); */
 1710:           err_code = 2;
 1711:         }
 1712:       } else {/* len == 1 */
 1713:         /* printf(" not found\n"); */
 1714:         err_code = 1;
 1715:       }
 1716:     }
 1717:   } else {
 1718:     err_code = 4;
 1719:   }
 1720:   
 1721:   return (cu_p);
 1722: }
 1723: 
 1724: int  s_peeknext_op()
 1725: {
 1726:   char  *ch;
 1727:   int    sp=0;
 1728:   
 1729:   ch = (char *)&Sbuf[Sidx];
 1730:   while( isspace(*ch) ) { ch++; sp=1; }
 1731:   if( (*ch == '*')  || (*ch == '/') || (*ch == '+')  || (*ch == '-') || (*ch == '^')) {
 1732:     return (*ch);
 1733:   }
 1734:   /* what if space is the last thing on the line?*/
 1735:   if( sp && (*ch != '\0')) return '*';
 1736:   return (*ch);
 1737: }
 1738: 
 1739: int  s_getnext_op()
 1740: {
 1741:   char  *ch;
 1742:   int    inc = 0, sp=0;
 1743:   
 1744:   
 1745:   /* printf("\n((op"); print_remains(); printf("\n");  */
 1746:   ch = (char *)&Sbuf[Sidx];
 1747:   while( isspace(*ch) ) { ch++; inc++; sp=1; }
 1748:   Sidx = Sidx + inc;
 1749:   if( (*ch == '*')  || (*ch == '/') || (*ch == '+')  || (*ch == '-') || (*ch == '^') ) {
 1750:     Sidx++;
 1751:     /* print_remains();  printf(" op))"); printf("\n"); */
 1752:     return (*ch);
 1753:   }
 1754:   /* print_remains();  printf(" op))"); printf("\n"); */
 1755:   /* what if space is the last thing on the line?*/
 1756:   if( sp  && (*ch != '\0')) return '*';
 1757:   return (*ch);
 1758: }
 1759: 
 1760: int
 1761: s_getnext()
 1762: {
 1763:   char  ch;
 1764:   
 1765:   ch = Sbuf[Sidx];
 1766:   Sidx++;
 1767:   return (ch);
 1768: }
 1769: 
 1770: int
 1771: s_peeknext()
 1772: {
 1773:   char  ch;
 1774:   
 1775:   ch = Sbuf[Sidx];
 1776:   return (ch);
 1777: }
 1778: 
 1779: int
 1780: s_peeknextNW()  /* peek into the next non-whitespaces character */
 1781: {
 1782:   char  *ch;
 1783: 
 1784:   ch = (char *)&Sbuf[Sidx];
 1785:   while( isspace(*ch) ) { ch++; }
 1786:   return (*ch);
 1787: }
 1788: 
 1789: int
 1790: s_getnextNW()  /* get the next non-whitespaces character */
 1791: {
 1792:   char  *ch;
 1793: 
 1794:   ch = (char *)&Sbuf[Sidx]; Sidx++;
 1795:   while( isspace(*ch) ) { ch++; Sidx++; }
 1796:   return (*ch);
 1797: }
 1798: /* peek into the next non-whitespaces character 
 1799:    which should be either a multiply or division */
 1800: int
 1801: s_peekMDWS()  
 1802: {
 1803:   char  *ch;
 1804:   int    sp=0;
 1805:   
 1806:   ch = (char *)&Sbuf[Sidx];
 1807:   while( isspace(*ch) ) { ch++; sp=1;}
 1808:   if( (*ch == '*')  || (*ch == '/') ) {
 1809:     return (*ch);
 1810:   }
 1811:   if( sp ) return ' ';
 1812:   ch = (char *)&Sbuf[Sidx];
 1813:   while( isspace(*ch) ) { ch++; }
 1814:   return (*ch);
 1815: }
 1816: 
 1817: int
 1818: s_getnextMDWS()
 1819: {
 1820:   char  *ch;
 1821:   int    inc=0, sp=0;
 1822:   
 1823:   ch = (char *)&Sbuf[Sidx]; Sidx++;
 1824:   while( isspace(*ch) ) { ch++; inc++; sp=1; }
 1825:   Sidx += inc;
 1826:   if( (*ch == '*')  || (*ch == '/') ) {
 1827:     return (*ch);
 1828:   }
 1829:   if( sp ) return ' ';
 1830:   return (*ch);
 1831: }
 1832: 
 1833: double
 1834: scan_FLOAT()
 1835: {
 1836:   double   num; 
 1837:   int      ii=0, len;
 1838:   char     num_str[QUARTER_K];
 1839:   
 1840:   num_str[ii]=0;
 1841:   while( isspace(Sbuf[Sidx]) ) { Sidx++; }
 1842:   if( Sbuf[Sidx] == '-' ) {
 1843:     num_str[ii++] = Sbuf[Sidx++];
 1844:   }
 1845:   while( isdigit(Sbuf[Sidx]) || Sbuf[Sidx] == '.' ) {
 1846:       num_str[ii++] = Sbuf[Sidx++];
 1847:   }
 1848:   if( Sbuf[Sidx] == 'E' || Sbuf[Sidx] == 'e' ) {
 1849:     if( Sbuf[Sidx+1] == '-' || isdigit(Sbuf[Sidx+1]) ) {
 1850:       num_str[ii++] = Sbuf[Sidx++];
 1851:       num_str[ii++] = Sbuf[Sidx++];
 1852:       while( isdigit(Sbuf[Sidx]) ) {
 1853:         num_str[ii++] = Sbuf[Sidx++];
 1854:       }
 1855:     }
 1856:   }
 1857:   num_str[ii] = 0; /* terminate the str */
 1858:   len = strlen(num_str);
 1859:   if(len > 0 ) {
 1860:     sscanf(num_str,"%lg", &num);
 1861:     /* printf("<N %s %g>",num_str,num); fflush(stdout);  print_remains(); */
 1862:   } else {
 1863:     num = 1.0;
 1864:   }
 1865:   return (num);
 1866: }
 1867: /* -----------------------------------------------
 1868:   N.item  := FLOAT
 1869:            | FLOAT '^' N.term
 1870:    ----------------------------------------------- */
 1871: Unit_t  *
 1872: scan_num_item()
 1873: {
 1874:   Unit_t  *node_p, *exp_p;
 1875:   double   num_const;
 1876:   char     ch;
 1877:   
 1878:   num_const = scan_FLOAT();
 1879:   node_p = p_new_num(NULL, num_const, NULL);
 1880:   ch = s_peeknext_op();
 1881:   if( ch == '^' ) {
 1882:     ch = s_getnext_op();
 1883:     
 1884:     exp_p = scan_num_term();
 1885:     num_const = node_p->u_scale;
 1886:     if( node_p->u_scale > 0.0 ) {
 1887:       num_const = pow(node_p->u_scale,exp_p->u_scale);
 1888:     }
 1889:     node_p->u_scale = num_const;
 1890:     capa_mfree((char *)exp_p);
 1891:   }
 1892:   return node_p;
 1893: }
 1894: 
 1895: /* -----------------------------------------------
 1896:   U.item  := UNIT
 1897:            | UNIT '^' N.term
 1898:    ----------------------------------------------- */
 1899:    
 1900: Unit_t *
 1901: scan_unit_item()
 1902: {
 1903:   Unit_t   *node_p, *exp_p;
 1904:   char      ch;
 1905:   double   num_const;
 1906:   Unit_E   *oe_p;
 1907:   
 1908:   node_p = p_new_unit(NULL,NULL);
 1909:   ch = s_peeknext_op();
 1910:   if( ch == '^' ) {
 1911:     ch = s_getnext_op();
 1912:     exp_p = scan_num_term();
 1913:     num_const = exp_p->u_scale;
 1914:     if( node_p->u_count > 0 ) {
 1915:       oe_p = node_p->u_list;
 1916:       for(oe_p = node_p->u_list; oe_p; oe_p = oe_p->ue_nextp ) {
 1917:         oe_p->ue_exp   = oe_p->ue_exp * num_const;
 1918:       }
 1919:     }
 1920:     num_const = node_p->u_scale;
 1921:     if( node_p->u_scale > 0.0 ) {
 1922:       num_const = pow(node_p->u_scale,exp_p->u_scale);
 1923:     }
 1924:     node_p->u_scale = num_const;
 1925:     capa_mfree((char *)exp_p);
 1926:   }
 1927:   return node_p;
 1928: }
 1929: 
 1930: void distribute_exp(Unit_t* node_p,Unit_t* exp_p) 
 1931: {
 1932:   Unit_E* oe_p;
 1933:   double num_const;
 1934:   num_const = exp_p->u_scale;  /* should we check if num_const too large or small ? */
 1935:   if( node_p->u_count > 0 ) {
 1936:     oe_p = node_p->u_list;
 1937:     for(oe_p = node_p->u_list; oe_p; oe_p = oe_p->ue_nextp ) {
 1938:       oe_p->ue_exp   = oe_p->ue_exp * num_const;
 1939:     }
 1940:   }
 1941:   num_const = node_p->u_scale;
 1942:   if( node_p->u_scale > 0.0 ) {  /* what if u_scale <= 0.0 ? */
 1943:     num_const = pow(node_p->u_scale,exp_p->u_scale);
 1944:   }
 1945:   node_p->u_scale = num_const;
 1946:   if (node_p->u_left) distribute_exp(node_p->u_left,exp_p);
 1947:   if (node_p->u_right) distribute_exp(node_p->u_right,exp_p);
 1948: }
 1949: 
 1950: /* ---------------------------------------------------------------
 1951:    B.term  := U.item
 1952:            | N.item
 1953:            | '(' B.block ')'
 1954:            | '{' B.block '}'
 1955:            
 1956:            | '(' B.block ')' '^' N.term  <== July 6 1998
 1957:            | '{' B.block '}' '^' N.term
 1958:            
 1959:    --------------------------------------------------------------- */
 1960: Unit_t *
 1961: scan_basic_term()
 1962: {
 1963:   Unit_t   *node_p, *exp_p;
 1964:   int       ch, nch;
 1965:   
 1966:   ch = s_peeknextNW();
 1967:   if( ch == '(' || ch == '{' ) {
 1968:     ch = s_getnextNW();  /* get rid of '(' or '{' */
 1969:     node_p = scan_basic_block();
 1970:     nch = s_peeknextNW();
 1971:     if( nch == ')' || nch == '}' ) {  /* should be either ')' or '}' */
 1972:       if( ((ch == '(' ) && (nch == ')' )) ||
 1973:           ((ch == '{' ) && (nch == '}' )) ) { /* matching left paren with right paren */
 1974:           
 1975:            
 1976:       } else {
 1977:         /* printf(" WARN: %c matched by %c\n", ch, nch); */
 1978:       }
 1979:       nch = s_getnextNW();
 1980:       /* ====== Added Jul 6, 1998 ====> */
 1981:       ch = s_peeknext_op();
 1982:       if( ch == '^' ) {
 1983:         ch = s_getnext_op();  /* get rid of '^' char */
 1984:         exp_p = scan_num_term();
 1985: 	distribute_exp(node_p,exp_p);
 1986:         capa_mfree((char *)exp_p);
 1987:       } 
 1988:       /* <== added Jul 6, 1998 == */
 1989:     } else {
 1990:       /* printf(" WARN: %c is not matched by %c\n", ch, nch); */
 1991:     }
 1992:   } else if( ch >= '0' && ch <= '9' ) {
 1993:     node_p = scan_num_item();
 1994:   } else { /* assume a unit symbol */
 1995:     /* printf("<B.term>"); print_remains(); */
 1996:     node_p = scan_unit_item();
 1997:     /* print_remains(); */
 1998:   }
 1999:   return node_p;
 2000: }
 2001: /* --------------------------------------------------
 2002:    N.term  := N.item
 2003:            | '-' N.item
 2004:            | '(' N.expr ')'
 2005:            | '{' N.expr '}'
 2006:  -------------------------------------------------- */
 2007: Unit_t *
 2008: scan_num_term()
 2009: {
 2010:   Unit_t   *node_p;
 2011:   char      ch, nch;
 2012: 
 2013:   ch = s_peeknextNW();
 2014:   if( ch == '(' || ch == '{' ) {
 2015:     ch = s_getnextNW();
 2016:     node_p = scan_num_expr();
 2017:     nch = s_peeknextNW();
 2018:     if( nch == ')' || nch == '}' ) {  /* should be either ')' or '}' */
 2019:       if( ((ch == '(' ) && (nch == ')' )) ||
 2020:           ((ch == '{' ) && (nch == '}' )) ) { 
 2021:         
 2022:       } else {
 2023:         /* printf(" WARN: %c matched by %c\n", ch, nch); */
 2024:       }
 2025:       nch = s_getnextNW();
 2026:     } else {
 2027:       /* printf(" WARN: %c is not matched by %c\n", ch, ch); */
 2028:     }
 2029:   } else if( ch == '-' ) {
 2030:     ch = s_getnextNW();
 2031:     node_p = scan_num_item();
 2032:     node_p->u_scale = (-1)*node_p->u_scale;
 2033:   } else {
 2034:     if( isdigit(ch) ) {
 2035:        node_p = scan_num_item();
 2036:     } else { /* something other than a number */
 2037:        /*
 2038:           printf(" ERROR: expect a number: ");
 2039:           print_remains();
 2040:        */
 2041:        node_p = p_new_num(NULL, 0.0, NULL); /* make the unknown item */
 2042:     }
 2043:   }
 2044:   return node_p;
 2045: }
 2046: 
 2047: /* --------------------------------------------------
 2048:    B.block := B.term
 2049:            | B.term ' ' B.term
 2050:            | B.term '*' B.term
 2051:            | B.term '/' B.term
 2052:    -------------------------------------------------- */
 2053: Unit_t  *
 2054: scan_basic_block()
 2055: {
 2056:   Unit_t   *node_p;
 2057:   char      ch;
 2058:   int       op;
 2059:   
 2060:   /* printf("<B.block>(before B.term)"); print_remains(); */
 2061:   node_p = scan_basic_term();
 2062:   ch = s_peeknext_op();
 2063:   while ( ch == '*' || ch == '/' ) {
 2064:     op = ( ch == '/' ? U_OP_DIVIDE : U_OP_TIMES);
 2065:     ch = s_getnext_op();
 2066:     /* printf("<B.block>(/ *)"); print_remains();  */
 2067:     node_p = p_new_op(node_p,op,scan_basic_term());
 2068:     ch = s_peeknext_op();
 2069:   }
 2070:   return node_p;
 2071: }
 2072: /* --------------------------------------------------
 2073:    N.block := N.term 
 2074:            | N.term ' ' N.term
 2075:            | N.term '*' N.term
 2076:            | N.term '/' N.term
 2077:    -------------------------------------------------- */
 2078: Unit_t  *
 2079: scan_num_block()
 2080: {
 2081:   Unit_t   *node_p, *opand_p;
 2082:   char      ch;
 2083:   double    result;
 2084:   
 2085:   node_p = scan_num_term();
 2086:   ch = s_peeknext_op();
 2087:   while ( ch == '*' || ch == '/' ) {
 2088:     s_getnext_op();
 2089:     opand_p = scan_num_term();
 2090:     if( ch == '*' ) {
 2091:       result = node_p->u_scale * opand_p->u_scale;
 2092:     } else {
 2093:       result = node_p->u_scale / opand_p->u_scale;
 2094:     }
 2095:     node_p->u_scale = result;
 2096:     capa_mfree((char *)opand_p);
 2097:     ch = s_peeknext_op();
 2098:   }
 2099:   return node_p;
 2100: }
 2101: 
 2102: /* ---------------------------------------
 2103:    U.expr  := B.block
 2104:            | B.block '+' B.block
 2105:            | B.block '-' B.block
 2106:    --------------------------------------- */
 2107: Unit_t  *
 2108: scan_unit_expr()
 2109: {
 2110:   Unit_t   *node_p;
 2111:   char      ch;
 2112:   int       op;
 2113:   
 2114:   /* printf("<U.expr>"); print_remains();  */
 2115:   node_p = scan_basic_block();
 2116:   ch = s_peeknext_op();
 2117:   while ( ch == '+' || ch == '-' ) {
 2118:     op = ( ch == '+' ? U_OP_PLUS : U_OP_MINUS);
 2119:     ch = s_getnext_op();
 2120:     /* printf("<U.expr>(+-)"); print_remains(); */
 2121:     node_p = p_new_op(node_p,op,scan_basic_block());
 2122:     ch = s_peeknext_op();
 2123:   }
 2124:   return node_p;
 2125: }
 2126: /* -----------------------------------------
 2127:    N.expr  := N.block 
 2128:            | N.block '+' N.block
 2129:            | N.block '-' N.block
 2130:    ----------------------------------------- */
 2131: Unit_t  *
 2132: scan_num_expr()
 2133: {
 2134:   Unit_t   *node_p, *opand_p;
 2135:   char      ch;
 2136:   double    result;
 2137:   
 2138:   node_p = scan_num_block();
 2139:   ch = s_peeknext_op();
 2140:   while ( ch == '+' || ch == '-' ) {
 2141:     ch = s_getnext_op();
 2142:     opand_p = scan_num_block();
 2143:     if( ch == '+' ) {
 2144:       result = node_p->u_scale + opand_p->u_scale;
 2145:     } else {
 2146:       result = node_p->u_scale - opand_p->u_scale;
 2147:     }
 2148:     node_p->u_scale = result;
 2149:     capa_mfree((char *)opand_p);
 2150:     ch = s_peeknext_op();
 2151:   }
 2152:   return node_p;
 2153: }
 2154: 
 2155: /* ----------------------------------------------------------------------- */
 2156: /* <--  This is the major entry point to parse an units expression ------> */
 2157: Unit_t  *
 2158: parse_unit_expr(char *symb_str)
 2159: {
 2160:   Unit_t   *root_p;
 2161:   int       len;
 2162:   
 2163:   len = strlen(symb_str);
 2164:   strcpy(Sbuf,symb_str);  /* copy it into the global Sbuf */
 2165:   Sidx=0;
 2166:   root_p = scan_unit_expr();
 2167:   if(Sidx < len-1 ) {
 2168:     /* printf(" WARN: NOT PARSED:");  print_remains(); */
 2169:   }
 2170:   return (root_p);
 2171: 
 2172: }
 2173: 
 2174: void
 2175: print_remains()
 2176: {
 2177:   int       len, ii;
 2178:   
 2179:   len = strlen(Sbuf);
 2180:   printf("[[");
 2181:   for(ii=Sidx;ii<len;ii++) {
 2182:       printf("%c",Sbuf[ii]);
 2183:   }
 2184:   printf("]]");
 2185:   
 2186: }
 2187: 
 2188: 
 2189: 
 2190: /* =================================================================== */

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