File:  [LON-CAPA] / capa / capa51 / pProj / capaUnit.c
Revision 1.2: download - view: text, annotated - select for diffs
Wed Feb 9 22:10:24 2000 UTC (24 years, 4 months ago) by albertel
Branches: MAIN
CVS tags: HEAD
--CHANGES BY ISAAC--
- fixed Unit parsing to allow m/m == 1
- added new function init_array to delete all elements from an array
- fixed parser coded so it can be compiled with bison
- started addition of new functions to compute new random
  distributions

    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:   ap = parse_unit_expr(u_symb);
  735:   Ptopidx=0;
  736:   postwalk_utree(ap);
  737: #ifdef UNIT_DBUG
  738:   fprintf(ufp,"Ptopidx %d\n",Ptopidx);
  739: #endif
  740:   if( Ptopidx == 1 ) {
  741:     simplify_unit(Pstack[Ptopidx]);
  742:     
  743:     if( (Pstack[Ptopidx]->u_count != 0) ||
  744:         (Pstack[Ptopidx]->u_count == t->u_count) ) { /* has unit */
  745:       *scale = units_ratio(Pstack[Ptopidx], t);
  746:       if( *scale == 0.0 ) {
  747:         result = UNIT_FAIL;
  748:       }
  749:       free_utree(ap);
  750:     } else {
  751:       result = UNIT_FAIL;
  752:     }
  753:   } else { /* invalid unit representation */
  754:     result = UNIT_FAIL;
  755:   }
  756: #ifdef UNIT_DBUG
  757:   fclose(ufp);
  758: #endif 
  759:   return (result);
  760: }
  761: 
  762: /* ============================================================= */
  763: int
  764: free_units()
  765: {
  766:   free_utree(UnitTree_p);
  767:   UnitTree_p=NULL;
  768:   return 0;
  769: }
  770: 
  771: int
  772: free_utree(Unit_t  *t)
  773: {
  774:   int  result=1;
  775:   
  776:   if( t == NULL )  return (1);
  777:   u_postfree(t);
  778:   t=NULL;
  779:   
  780:   return (result);
  781: }
  782: 
  783: 
  784: int
  785: u_postfree(Unit_t  *t)
  786: {
  787:   int  result;
  788:   
  789:   if( t == NULL )  return (1);
  790:   
  791:   result = u_postfree(U_LEFT(t));
  792:   if( result ) result = u_postfree(U_RIGHT(t));
  793:   if( result ) {
  794:     if( t->u_comment ) {
  795:       capa_mfree((char *)t->u_comment);
  796:     }
  797:     freelist_unit_e(t->u_list);
  798:     capa_mfree((char *)t);
  799:   }
  800:   return (result);
  801: }
  802: 
  803: 
  804: void
  805: print_unit_t(Unit_t *t) 
  806: {
  807:   Unit_E  *ue_p;
  808: 
  809:   /* printf("  Unit::[%s,%d]= %g * ", t->u_symbol,t->u_count,t->u_scale); */
  810:   printf("  Unit::[%s] = %g * ", t->u_symbol, t->u_scale);
  811:   for(ue_p=t->u_list; ue_p ; ue_p = ue_p->ue_nextp) {
  812:     /*
  813:     printf("<%s,%d,%g,%g> ",ue_p->ue_symbol,ue_p->ue_index,ue_p->ue_scale,ue_p->ue_exp);
  814:     */
  815:     printf("(%g*%s^%g) ",ue_p->ue_scale,ue_p->ue_symbol,ue_p->ue_exp);
  816:   }
  817:   printf("\n");
  818: 
  819: }
  820: /*  ----------------------------------------------------------- */
  821: /*  copy the Unit_E linked list from b_p->u_list to a_p->u_list */
  822: /*   create some Unit_E nodes in a_p->u_list if needed and      */
  823: /*   leave b_p->u_list intact                                   */
  824: /*   a_p->u_scale is multiplied by pow(b_p->u_scale,exp_scale)  */
  825: /*  ----------------------------------------------------------- */
  826: void
  827: u_copy_unit(Unit_t *a_p, Unit_t *b_p, double exp_scale) 
  828: {
  829:   Unit_E  *oe_p, *ne_p, *last_p;
  830:   int      ii;
  831:   double   scale;
  832:   
  833:   if( a_p->u_count > 0 ) {
  834:     for(last_p = a_p->u_list; last_p->ue_nextp; last_p = last_p->ue_nextp) {  }
  835:   } else {
  836:     a_p->u_list = last_p = NULL;
  837:   }
  838:   if( b_p->u_count > 0 ) {
  839:     oe_p = b_p->u_list;
  840:     for(ii=0;ii<b_p->u_count;ii++) {
  841:       ne_p = (Unit_E *) capa_malloc(1, sizeof(Unit_E)); /* *** */
  842:       ne_p->ue_scale = oe_p->ue_scale;
  843:       ne_p->ue_exp   = oe_p->ue_exp * exp_scale;
  844:       ne_p->ue_index = oe_p->ue_index;
  845:       strcpy(ne_p->ue_symbol, oe_p->ue_symbol);
  846:       oe_p = oe_p->ue_nextp;
  847:       if( last_p == NULL ) {
  848:         a_p->u_list = ne_p;
  849:       } else {
  850:         last_p->ue_nextp = ne_p;
  851:       }
  852:       last_p = ne_p;
  853:       a_p->u_count++;
  854:     }
  855:     scale = pow(b_p->u_scale, exp_scale);
  856:     a_p->u_scale = a_p->u_scale * scale;
  857:     /* printf("Found scale=%g=%g\n",a_p->u_scale,b_p->u_scale); */
  858:   } else {  
  859:     if( b_p->u_type == U_BASE ) { 
  860:       /* *b_p is a base unit, so create a one element unit */
  861:       ne_p = (Unit_E *) capa_malloc(1, sizeof(Unit_E));   /* *** */
  862:       ne_p->ue_scale = b_p->u_scale;
  863:       ne_p->ue_exp   = exp_scale;
  864:       ne_p->ue_index = b_p->u_index;
  865:       strcpy(ne_p->ue_symbol, b_p->u_symbol);
  866:       if( last_p == NULL ) {
  867:         a_p->u_list = ne_p;
  868:       } else {
  869:         last_p->ue_nextp = ne_p;
  870:       }
  871:       last_p = ne_p;
  872:       a_p->u_count++;
  873:     } else if( b_p->u_type == U_DERIVED) {
  874:       /* derived units but without any units elements (scalar) */
  875:       /* do nothing, ignore this units  */
  876:     } else if( b_p->u_type == U_CONSTANT ) {
  877:       scale = pow(b_p->u_scale, exp_scale);
  878:       a_p->u_scale = a_p->u_scale * scale;
  879:     } else {
  880:       printf("This node has no u_e list and Type unknown\n");
  881:     }
  882:   }
  883: }
  884: int
  885: u_pm_op(Unit_t *a_p, Unit_t *b_p, int op)
  886: {
  887:   int    result=0;
  888:   
  889:   if( a_p->u_count > 0 || b_p->u_count > 0 ) {
  890:      printf(" cannot add or sub units at this moment\n");
  891:      return  result;
  892:   }
  893:   if( op == U_OP_PLUS ) {
  894:     a_p->u_scale = a_p->u_scale + b_p->u_scale;
  895:   } else {
  896:     a_p->u_scale = a_p->u_scale - b_p->u_scale;
  897:   }
  898:   return 1;
  899: }
  900: 
  901: int
  902: u_parsepower(char *unit_str)
  903: {
  904:   int   exp, ii;
  905:   char  *ch_p, exp_str[16];
  906: 
  907:   ch_p = unit_str;
  908:   while( isspace(*ch_p) ) { ch_p++; }
  909:   ii=0;
  910:   while( isdigit(*ch_p) ) {
  911:     ch_p++;
  912:   }
  913:   while( isspace(*ch_p) ) { ch_p++; }
  914:   if( *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:   ii=0;
  923:   while( isdigit(*ch_p) || *ch_p == '-' || *ch_p == '+' ) {
  924:     exp_str[ii++] = *ch_p;
  925:     ch_p++;
  926:   }
  927:   exp_str[ii]=0;
  928:   sscanf(exp_str,"%d", &exp);
  929:   return (exp);
  930: }
  931: 
  932: /* ------------------------------------------- */
  933: /* scan a number of the form indicated below from the input buffer */
  934: /* 1.234^{2.3} */
  935: /*  1e */
  936: double
  937: s_scan_number(char *buf, int idx, int *r_idx)
  938: {
  939:   double   num; 
  940:   float    exp; 
  941:   double   result;
  942:   int      ii=0;
  943:   char     num_str[QUARTER_K];
  944:   
  945:   num_str[ii]=0;
  946:   
  947:   if( buf[idx] == '-' ) {
  948:     num_str[ii++] = '-';
  949:     idx++;
  950:   }
  951:   while( isdigit(buf[idx]) || buf[idx] == '.' ) { 
  952:       num_str[ii++] = buf[idx];
  953:       idx++;
  954:   }
  955:   if( buf[idx] == 'E' || buf[idx] == 'e' ) {
  956:     if( buf[idx+1] == '-' || isdigit(buf[idx+1]) ) {
  957:       num_str[ii++] = buf[idx++];
  958:       num_str[ii++] = buf[idx++];
  959:       while( isdigit(buf[idx]) ) {
  960:         num_str[ii++] = buf[idx];
  961:         idx++;
  962:       }
  963:     }
  964:   }
  965:   num_str[ii] = 0; /* terminate the str */
  966:   sscanf(num_str,"%lg", &num);
  967:   /* printf("Scan number %s got %g\n",num_str, num); fflush(stdout); */
  968:   result = num;
  969:   if( buf[idx] == '^' ) {
  970:     idx++;
  971:     while( isspace(buf[idx]) ) { idx++; }
  972:     if( buf[idx] == '{' ) {  /* need to scan for a matching right bracket */
  973:         idx++;
  974:     }
  975:     while( isspace(buf[idx]) ) { idx++; }
  976:     num_str[0]=0;
  977:     if( isdigit(buf[idx]) || buf[idx] == '+' || buf[idx] == '-' )  {
  978:        ii=0;
  979:        while( isdigit(buf[idx]) || buf[idx] == '.' || buf[idx] == '+' || buf[idx] == '-' ) {
  980:          num_str[ii++] = buf[idx];
  981:          idx++;
  982:        }
  983:        num_str[ii]=0;
  984:     }
  985:     while( isspace(buf[idx]) ) { idx++; }
  986:     if( buf[idx] == '}' ) {
  987:       idx++;
  988:     }
  989:     sscanf(num_str,"%f", &exp);
  990:     /* printf("Scan exp number %s got %g\n",num_str, exp); fflush(stdout); */
  991:     
  992:     result = pow(num, (double)exp);
  993:     /* printf("{%d^%d}=%g\n",num, exp,result); */
  994:   }
  995:   *r_idx = idx;
  996:   return (result);
  997: }
  998: 
  999: 
 1000: double
 1001: s_scan_symbol(char *buf,char *symb_p,int idx, int *r_idx)
 1002: {
 1003:   char     num_str[QUARTER_K];
 1004:   int      ii=0;
 1005:   double   r_exp=1.0;
 1006:   
 1007:   symb_p[0]=0;
 1008:   while( isalnum(buf[idx]) || buf[idx] == '_' ) {
 1009:     symb_p[ii++] = buf[idx];
 1010:     idx++;
 1011:   }
 1012:   symb_p[ii]=0;
 1013:   
 1014:   if( buf[idx] == '^' ) {  /* look for either left bracket or a number */
 1015:     idx++;
 1016:     while( isspace(buf[idx]) ) { idx++; } 
 1017:     if( buf[idx] == '{' ) {  /* need to scan for a matching right bracket */
 1018:       idx++;
 1019:     }
 1020:     while( isspace(buf[idx]) ) { idx++; }
 1021:     if( isdigit(buf[idx]) || buf[idx] == '.' || buf[idx] == '+' || buf[idx] == '-'  )  {
 1022:       ii=0; num_str[ii] = 0;
 1023:       while( isdigit(buf[idx]) || buf[idx] == '.' || buf[idx] == '+' || buf[idx] == '-' ) {
 1024:         num_str[ii++] = buf[idx];
 1025:         idx++;
 1026:       }
 1027:       num_str[ii]=0;
 1028:     }
 1029:     while( isspace(buf[idx]) ) { idx++; }
 1030:     if( buf[idx] == '}' ) {
 1031:       idx++;
 1032:     }
 1033:     sscanf(num_str,"%lg", &r_exp);  /* power could be of type float */
 1034:     /* printf("[scan symb with power %s ^ %lg] ",symb_p, r_exp); fflush(stdout);  */
 1035:   }
 1036:   *r_idx = idx;
 1037:   return (r_exp);
 1038: }
 1039: 
 1040: /*  return: err_code    0    parsed ok */
 1041: /*                      1    symbol is of length 1, not found in the tree */
 1042: /*                      2    symbol not found in the tree  */
 1043: /*                      3    symbol parsed as prefix symb, but symb not found */
 1044: /*                      4    symbol length is 0 or negative */
 1045: int
 1046: s_process_symb(char *symb_str,Unit_t  *cu_p,double exp)
 1047: {
 1048:   int      len;
 1049:   Unit_t  *au_p;
 1050:   int      c_result;
 1051:   int      ii;
 1052:   char     tmp_str[ANSWER_STRING_LENG];
 1053:   int      err_code = 0;
 1054:   double   d_exp;
 1055:   
 1056:   len = strlen(symb_str);
 1057:   if( len > 0 ) {
 1058:     au_p = u_find_symb(symb_str, UnitTree_p, &c_result);
 1059:     if( c_result == 1 ) {  /* if found, copy the definition over */
 1060:       u_copy_unit(cu_p, au_p, exp);
 1061:     } else {
 1062:       if( len > 1 ) {
 1063:         if( PrefixTbl[ (int)symb_str[0] ] != 0 ) {  /* prefix is defined */
 1064:           for(ii=1;ii<len;ii++) {
 1065:              tmp_str[ii-1] = symb_str[ii];
 1066:           }
 1067:           tmp_str[len-1]=0;
 1068:           au_p = u_find_symb(tmp_str, UnitTree_p, &c_result);
 1069:           if( c_result == 1 ) {
 1070:               /* printf("[%s] ", tmp_str); */
 1071:             u_copy_unit(cu_p, au_p, exp);
 1072:             d_exp = (double)PrefixTbl[ (int)symb_str[0] ] * exp;
 1073:             cu_p->u_scale = cu_p->u_scale * pow((double)10.0,d_exp);
 1074:           } else { /* unit *tmp_str not found */
 1075:             /*printf("The unit: %s, not defined\n",tmp_str);*/
 1076:             err_code = 3;
 1077:           }
 1078:         } else {
 1079:           /*printf("<<%s>>", symb_str);*/
 1080:           err_code = 2;
 1081:         }
 1082:       } else {/* len == 1 */
 1083: 	/*printf("The unit: %s, not defined\n",symb_str);*/
 1084:         err_code = 1;
 1085:       }
 1086:     }
 1087:   } else {
 1088:     err_code = 4;
 1089:   }
 1090:   return (err_code);
 1091: }
 1092: 
 1093: Unit_t *
 1094: u_parse_unit(char *unit_str)
 1095: {
 1096:   char      *ch;
 1097:   char       symb_str[QUARTER_K];
 1098:   int        idx;
 1099:   double     exp_sign;
 1100:   int        s_result;
 1101:   int        not_done;
 1102:   double     s_number,  offset;
 1103:   double     tmp_scale, symb_exp, exp;
 1104:   Unit_t    *cu_p;
 1105: 
 1106:   gUnitError=0;
 1107:   ch   = unit_str;
 1108:   cu_p = (Unit_t *) capa_malloc(1, sizeof(Unit_t)); /* *** */
 1109:   cu_p->u_scale = 1.0;
 1110:   idx = 0;  not_done = 1;
 1111:   exp_sign = 1.0; exp = 1;
 1112:   symb_str[0] = 0;
 1113: 
 1114:   while( isspace(*ch) ) { ch++; }    /* trim leading white spaces */
 1115:   /* fprintf(stdout,"PARSE |%s|\n", unit_str); */
 1116:   while( not_done ) {
 1117:     if( isdigit(ch[idx]) || ch[idx] == '-' ) {  /* rule 1: number */
 1118:        s_number = s_scan_number(ch,idx,&idx);
 1119:        
 1120:        tmp_scale = pow(s_number,exp_sign);
 1121:        /* printf("S=%g,Power(%g,%d)=%g\n", 
 1122:           cu_p->u_scale, s_number,exp_sign, tmp_scale);
 1123:        */
 1124:        cu_p->u_scale = cu_p->u_scale * tmp_scale;
 1125:        
 1126:        /* printf("[Scale %g=%g^%g] ",tmp_scale,s_number,exp_sign); */
 1127:        while( isspace(ch[idx]) ) { idx++; }
 1128:     } else {
 1129:       if( isalpha(ch[idx]) ) { /* rule 2: unit_symbol ^ exp */
 1130: 	symb_str[0] = 0;
 1131: 	symb_exp = s_scan_symbol(ch,symb_str,idx,&idx);
 1132: 	exp = (double)exp_sign * symb_exp;
 1133: 	/* printf("[scanned %s ^ (%g * %g)] ", symb_str,symb_exp,exp_sign); fflush(stdout); */
 1134: 	s_result = s_process_symb(symb_str,cu_p,exp);
 1135: 	if( s_result > 0 ) {
 1136: 	  /* printf("Error processing symbol [%s]\n", symb_str); */
 1137: 	  gUnitError = 1;
 1138: 	}
 1139: 	while( isspace(ch[idx]) ) { idx++; }
 1140:       } else {
 1141: 	if( ch[idx] == '*' || ch[idx] == '/' ) {
 1142: 	  if( ch[idx] == '/' ) { /* printf("[/] "); */ exp_sign = -1.0; }
 1143: 	  idx++;
 1144: 	  while( isspace(ch[idx]) ) { idx++; }
 1145: 	} else {
 1146: 	  if( ch[idx] == '+' || ch[idx] == '-' ) {
 1147: 	    idx++;
 1148: 	    while( isspace(ch[idx]) ) { idx++; }
 1149: 	    offset = s_scan_number(ch,idx,&idx);
 1150: 	    /* printf("[Offset %g] ",offset); */
 1151: 	  } else {
 1152: 	    if( ch[idx] == 0 ) {  /* end of input string */
 1153: 	      not_done = 0;
 1154: 	      /* printf("\n"); */
 1155: 	    } else {
 1156: 	      /* garbage in unit string */
 1157: 	      gUnitError = 1;
 1158: 	      not_done=0;
 1159: 	    }
 1160: 	  }
 1161: 	}
 1162:       }
 1163:     }
 1164:   }
 1165:   simplify_unit(cu_p);
 1166:   return (cu_p);
 1167: 
 1168: }
 1169: 
 1170: void
 1171: u_getunit(FILE *f)
 1172: {
 1173:   register int  unit_type;
 1174:   register int  c;
 1175:   int      power, result;
 1176:   char   *name_p, *symbol_p, *comment_p, *unit_p;
 1177:   
 1178:   BaseUnitcnt = 0;
 1179:   free_utree(UnitTree_p);
 1180:   UnitTree_p = NULL;
 1181:   c_moveto_unit(f);  /* move the file position to << */
 1182:   do {
 1183:     c_ignorewhite(f);
 1184:     c = getc(f); ungetc(c,f);
 1185:     if( c == '<' ) {
 1186:       unit_type = c_gettype(f);
 1187:     }
 1188:     if( c != EOF ) {
 1189:       switch(unit_type) {
 1190:         case U_BASE:
 1191:                name_p    = c_getword(f);    symbol_p = c_getword(f); 
 1192:                comment_p = c_getcomment(f);
 1193:                /*
 1194:                printf("B Unit: N=%s,S=%s,C=%s\n",name_p,symbol_p,comment_p);
 1195:                */
 1196:                result = u_insert_baseunit(name_p,symbol_p,comment_p);
 1197:                if( result == 1 ) {
 1198:                  printf("The entry %s is duplicated\n",symbol_p);
 1199:                }
 1200:                free(name_p); free(symbol_p); free(comment_p);
 1201:                break;
 1202:         case U_DERIVED:
 1203:                name_p    = c_getword(f);    symbol_p = c_getword(f);
 1204:                unit_p    = c_getstring(f);  comment_p = c_getcomment(f);
 1205:                /*
 1206:                printf("D Unit: N=%s,S=%s,C=%s,U=%s\n",
 1207:                        name_p,symbol_p,comment_p,unit_p);
 1208:                */
 1209:                result = u_insert_derived(name_p,symbol_p,comment_p,unit_p);
 1210:                if( result == 1 ) {
 1211:                  printf("The entry %s is duplicated\n",symbol_p);
 1212:                }
 1213:                /* preorder_utree(UnitTree_p); */ 
 1214:                free(name_p); free(symbol_p); free(comment_p); free(unit_p);
 1215:                break;
 1216:         case U_PREFIX:
 1217:                name_p    = c_getword(f);    symbol_p = c_getword(f);
 1218:                unit_p    = c_getstring(f);
 1219:                /*
 1220:                printf("Prefix: N=%s,S=%s,U=%s\n",
 1221:                        name_p,symbol_p,unit_p);
 1222:                */
 1223:                power = u_parsepower(unit_p);
 1224:                PrefixTbl[ (int)(*symbol_p) ] = power;
 1225:                /* printf("    P[%c]=%d\n",*symbol_p,power);  */
 1226:                free(name_p); free(symbol_p); free(unit_p);
 1227:                break;
 1228:         case U_CONSTANT:
 1229:                symbol_p = c_getword(f);  unit_p    = c_getstring(f);
 1230:                comment_p = c_getcomment(f);
 1231:                /*
 1232:                printf("Const.: S=%s,C=%s,U=%s\n",
 1233:                        symbol_p,comment_p,unit_p);
 1234:                */
 1235:                break;
 1236:         case U_UNKNOWN:
 1237:                /* printf("Unknown\n"); */
 1238:                break;
 1239:       }
 1240:     }
 1241:   } while ( c != EOF );
 1242: 
 1243: }
 1244: 
 1245: /* ----------------------------------------------------------------- */
 1246: /* comparing unit symbol names should be case sensitive */
 1247: int
 1248: comp_unit_symb(a, b) char *a; char *b;
 1249: {
 1250:   return strncmp(a,b,SYMBOL_MAXLEN);
 1251: }
 1252: 
 1253: 
 1254: Unit_t *
 1255: u_splay (char *name, Unit_t *t) 
 1256: {
 1257:   Unit_t     N;
 1258:   Unit_t    *l, *r, *y;
 1259: 
 1260:   if (t == NULL)  return t;
 1261:   N.u_left  = (Unit_t *)NULL;
 1262:   N.u_right = (Unit_t *)NULL;
 1263:   l = r = &N;
 1264: 
 1265:   for (;;) {
 1266:     if ( comp_unit_symb(name,t->u_symbol) < 0 ) {
 1267:       if (t->u_left == NULL)  break;
 1268:       if ( comp_unit_symb(name, (t->u_left)->u_symbol ) < 0 ) {
 1269:         y = t->u_left; t->u_left = y->u_right; y->u_right = t; t = y;
 1270:         if (t->u_left == NULL) break;
 1271:       }
 1272:       r->u_left = t; r = t; t = t->u_left;
 1273:     } else if ( comp_unit_symb(name,t->u_symbol) > 0 ) {
 1274:         if (t->u_right == NULL) break;
 1275:         if ( comp_unit_symb(name, (t->u_right)->u_symbol ) > 0 ) {
 1276:           y = t->u_right; t->u_right = y->u_left; y->u_left = t; t = y;
 1277:           if (t->u_right == NULL) break;
 1278:         }
 1279:         l->u_right = t; l = t; t = t->u_right;
 1280:     } else {
 1281:       break;
 1282:     }
 1283:   }
 1284:   l->u_right = t->u_left; r->u_left = t->u_right; t->u_left = N.u_right;
 1285:   t->u_right = N.u_left;
 1286:   return t;
 1287: }
 1288: 
 1289: 
 1290: 
 1291: /* returns: 0  correctly inserted */
 1292: /*          -1 error */
 1293: /*          1  duplicate entry    */
 1294: 
 1295: int
 1296: u_insert_baseunit(n_p,s_p,c_p) char  *n_p, *s_p, *c_p;
 1297: {
 1298:   Unit_t   *new_p, *t;
 1299:   int       len;
 1300:  
 1301:   new_p = (Unit_t *) capa_malloc(1, sizeof(Unit_t)); /* *** */
 1302:   if (new_p == NULL) {
 1303:       printf("Ran out of space\n");
 1304:       return(-1);
 1305:   }
 1306:   strcpy(new_p->u_symbol, s_p);
 1307:   strcpy(new_p->u_name, n_p);
 1308:   len = strlen(c_p);
 1309:   new_p->u_comment = (char *) capa_malloc((len+1), sizeof(char)); /* *** */
 1310:   strcpy(new_p->u_comment,c_p);
 1311:   BaseUnitcnt++;
 1312:   new_p->u_index  = BaseUnitcnt;
 1313:   new_p->u_type   = U_BASE;
 1314:   new_p->u_scale  = 1.0;
 1315:   new_p->u_offset = 0.0;
 1316:   new_p->u_count  = 0;
 1317:   new_p->u_list   = NULL;
 1318:  
 1319:   if (UnitTree_p == NULL) {  /* a new unit tree */
 1320:       UnitTree_p = new_p;
 1321:       return (0);
 1322:   }
 1323:   t = u_splay(s_p, UnitTree_p);
 1324:   if ( comp_unit_symb(s_p,t->u_symbol) < 0 ) {
 1325:         new_p->u_left = t->u_left; new_p->u_right = t;
 1326:         t->u_left = NULL;
 1327:         /* Splay_cnt++;  */
 1328:         UnitTree_p = new_p;
 1329:         return (0);
 1330:   } else if ( comp_unit_symb(s_p,t->u_symbol) > 0 ) {
 1331:         new_p->u_right = t->u_right; new_p->u_left = t;
 1332:         t->u_right = NULL;
 1333:         /* Splay_cnt++; */
 1334:         UnitTree_p = new_p;
 1335:         return (0);
 1336:   } else {    /* name and t->u_symbol is the same, which means found it */
 1337:         capa_mfree( (char *)new_p );
 1338:         UnitTree_p = t;
 1339:         return (1);
 1340:   }
 1341: }
 1342: 
 1343: 
 1344: int
 1345: u_insert_derived(n_p,s_p,c_p,u_p)char  *n_p, *s_p, *c_p, *u_p;
 1346: {
 1347:   Unit_t  *new_p, *t;
 1348:   int      c_result, len;
 1349:   
 1350:   /* inorder_utree(UnitTree_p); */
 1351:   t = u_splay(s_p, UnitTree_p);
 1352:   UnitTree_p = t;
 1353:   c_result = comp_unit_symb(s_p,t->u_symbol);
 1354:   if ( c_result == 0 ) {
 1355:     UnitTree_p = t;
 1356:     return (1);
 1357:   }
 1358:   
 1359:   /* prepare a new Unit_t */
 1360:   new_p = u_parse_unit(u_p);
 1361:   strcpy(new_p->u_symbol,s_p);
 1362:   strcpy(new_p->u_name, n_p);
 1363:   new_p->u_type = U_DERIVED;
 1364:   len = strlen(c_p);
 1365:   new_p->u_comment = (char *) capa_malloc((len+1), sizeof(char)); /* *** */
 1366:   strcpy(new_p->u_comment,c_p);
 1367:   
 1368:   simplify_unit(new_p);
 1369:   /*
 1370:   printf("Derived Unit:%s\n",new_p->u_name);
 1371:   print_unit_t(new_p); 
 1372:   */
 1373:   if (c_result < 0 ) {
 1374:     new_p->u_left = t->u_left; new_p->u_right = t;
 1375:     t->u_left = NULL;
 1376:   } else {  /* c_result > 0 */
 1377:     new_p->u_right = t->u_right; new_p->u_left = t;
 1378:     t->u_right = NULL;
 1379:   }
 1380:   UnitTree_p = new_p;
 1381:   
 1382:   return (0);
 1383:   
 1384: }
 1385: 
 1386: void
 1387: freelist_unit_e(Unit_E *ue_p) 
 1388: {
 1389:   Unit_E  *curr_p, *next_p;
 1390:   
 1391:   if( ue_p != NULL ) {
 1392:     next_p = ue_p->ue_nextp;
 1393:     curr_p = ue_p;
 1394:     if( next_p == NULL ) {
 1395:       capa_mfree((char *)curr_p);
 1396:     } else {
 1397:       for( curr_p = ue_p; next_p; curr_p = next_p, next_p = next_p->ue_nextp) {
 1398:         capa_mfree((char *)curr_p);
 1399:       }
 1400:       capa_mfree((char *)curr_p);
 1401:     }
 1402:   }
 1403: }
 1404: void
 1405: simplify_unit(u_p) Unit_t *u_p;
 1406: {
 1407:   Unit_E   *eu_p, *prev_p;
 1408:   int       ii, idx;
 1409:   
 1410:   /* walk through u_list and replace those u_index = -1 with */
 1411:   /* a linked list of basic unit. */
 1412:   /* u_msort_main() the whole u_list */
 1413:   /* combine those units with same u_index */
 1414:   for(ii=0;ii<BaseUnitcnt;ii++) {
 1415:     CScale[ii] = 0.0;
 1416:     CExp[ii] = 0.0;
 1417:   }
 1418:   /*
 1419:   printf("Before Simplify:: \n");
 1420:   print_unit_t(u_p);
 1421:   */
 1422:   if( u_p->u_count > 0 ) {
 1423:     
 1424:     for(eu_p=u_p->u_list; eu_p; eu_p = eu_p->ue_nextp) {
 1425:       idx = eu_p->ue_index;
 1426:       if( CScale[idx] == 0.0 ) {
 1427:         CScale[idx] = 1.0;
 1428:         strcpy(CSymb[idx],eu_p->ue_symbol);
 1429:       }
 1430:       CScale[idx] = CScale[idx] * eu_p->ue_scale;
 1431:       CExp[idx] = CExp[idx] + eu_p->ue_exp;
 1432:     }
 1433:     /* debugging 
 1434:     for(ii=0;ii<BaseUnitcnt;ii++) {
 1435:       if( CScale[ii] != 0.0 ) {
 1436:         printf("(%d)%s,S=%g,E=%g\n",ii,CSymb[ii],CScale[ii], CExp[ii]);
 1437:       }
 1438:       if( CExp[ii] == 0.0 ) {
 1439:         printf("(%d)%s,S=%g,Exp=%g\n",ii,CSymb[ii],CScale[ii], CExp[ii]);
 1440:       }
 1441:     }
 1442:     */
 1443:     freelist_unit_e(u_p->u_list);
 1444:     prev_p = u_p->u_list = NULL;
 1445:     u_p->u_count = 0;
 1446:     for(ii=0;ii<BaseUnitcnt;ii++) {
 1447:       if( CScale[ii] != 0.0 && CExp[ii] != 0) {
 1448:         eu_p = (Unit_E *)capa_malloc(1,sizeof(Unit_E)); /* ***************** */
 1449:         eu_p->ue_scale = 1.0;
 1450:         eu_p->ue_exp = CExp[ii];
 1451:         eu_p->ue_index = ii;
 1452:         strcpy(eu_p->ue_symbol,CSymb[ii]);
 1453:         if( prev_p == NULL) {
 1454:           u_p->u_list = prev_p = eu_p;
 1455:         } else {
 1456:           prev_p->ue_nextp = eu_p;
 1457:           prev_p = eu_p;
 1458:         }
 1459:         u_p->u_count++;
 1460:       }
 1461:     }
 1462:   }
 1463:   /* 
 1464:   printf("After Simplify:: \n");
 1465:   print_unit_t(u_p);
 1466:   */
 1467: }
 1468: 
 1469: /* before comparing two units, make sure they are of  basic form */
 1470: /* compares if two units are equal */
 1471: /* equality returns 1 */
 1472: 
 1473: int  is_units_equal(Unit_t *u1_p, Unit_t *u2_p)
 1474: {
 1475:   int      result=1;
 1476:   Unit_E  *a_p, *b_p;
 1477:   
 1478:   if( (u1_p->u_count == u2_p->u_count) && 
 1479:       (u1_p->u_scale == u2_p->u_scale) ) {
 1480:     for(a_p=u1_p->u_list, b_p=u2_p->u_list;
 1481:         a_p; a_p=a_p->ue_nextp, b_p=b_p->ue_nextp) {
 1482:       if(a_p->ue_index != b_p->ue_index ||
 1483:          a_p->ue_scale != b_p->ue_scale ||
 1484:          a_p->ue_exp   != b_p->ue_exp ) {
 1485:         result=0;
 1486:         break;
 1487:       }
 1488:     }
 1489:   } else {
 1490:     result=0;
 1491:   }
 1492:   return (result);
 1493: }
 1494: /*     input : both are the simplest units */
 1495: /*     result: 0.0 means they are not of euquvalent units */
 1496: /*             the ratio of u1 / u2   */
 1497: double  units_ratio(Unit_t *u1_p, Unit_t *u2_p)
 1498: {
 1499:   double   ratio=1.0;
 1500:   Unit_E  *a_p, *b_p;
 1501:   
 1502:   if( (u1_p->u_count == u2_p->u_count) ) {
 1503:     for(a_p=u1_p->u_list, b_p=u2_p->u_list;
 1504:         a_p; a_p=a_p->ue_nextp, b_p=b_p->ue_nextp) {
 1505:       if(a_p->ue_index != b_p->ue_index ||
 1506:          a_p->ue_scale != b_p->ue_scale ||
 1507:          a_p->ue_exp   != b_p->ue_exp ) {
 1508:         ratio=0.0;
 1509:         break;
 1510:       }
 1511:     }
 1512:   } else {
 1513:     ratio=0.0;
 1514:   }
 1515:   if( (ratio != 0.0) && (u2_p->u_scale != 0.0 )  ) {
 1516:     ratio = u1_p->u_scale / u2_p->u_scale;
 1517:   }
 1518:   return (ratio);
 1519: }
 1520: 
 1521: /* ------------- The Grammar of Units Parser --------------------
 1522: 
 1523:   scan_unit_expr()  -->  scan_basic_block()
 1524:                     -->  scan_basic_block() '+' scan_basic_block() 
 1525:                     -->  scan_basic_block() '-' scan_basic_block()
 1526:  
 1527:   scan_num_expr()   -->  scan_num_block()
 1528:                     -->  scan_num_block() '+' scan_num_block()
 1529:                     -->  scan_num_block() '-' scan_num_block()
 1530:                     
 1531:   scan_basic_block()-->  scan_basic_term()
 1532:                     -->  scan_basic_term()  '*' scan_basic_term()
 1533:                     -->  scan_basic_term()  ' ' scan_basic_term()
 1534:                     -->  scan_basic_term()  '/' scan_basic_term()
 1535: 
 1536:   scan_num_block()  -->  scan_num_term()
 1537:                     -->  scan_num_term()  '*' scan_num_term()
 1538:                     -->  scan_num_term()  ' ' scan_num_term()
 1539:                     -->  scan_num_term()  '/' scan_num_term()
 1540:   
 1541:   
 1542:   scan_basic_term() -->  scan_unit_item()          
 1543:                     -->  scan_num_item()
 1544:                     -->  '(' scan_basic_block() ')'
 1545:                     -->  '{' scan_basic_block() '}'
 1546: 
 1547:   scan_num_term()   -->  scan_num_item()<sp>*
 1548:                     --> '-' scan_num_item()<sp>*
 1549:                     --> '(' scan_num_expr() ')'
 1550:                     --> '{' scan_num_expr() '}'
 1551: 
 1552:   scan_unit_item()  -->  UNIT<sp>*
 1553:                     -->  UNIT<sp>*  '^' <sp>* scan_num_term()
 1554:                     
 1555:   scan_num_item()   -->  FLOAT<sp>*
 1556:                     -->  FLOAT<sp>* '^' <sp>* scan_num_term()
 1557:   
 1558:   scan_FLOAT()      -->  [0-9]+([eE][+-]?[0-9]+)*
 1559:   
 1560:   p_new_unit()      -->  [a-Z]+[a-Z0-9_]*
 1561:   
 1562:   -----------------------------------------
 1563:   U.expr  := B.block
 1564:            | B.block '+' B.block
 1565:            | B.block '-' B.block
 1566:            
 1567:   N.expr  := N.block 
 1568:            | N.block '+' N.block
 1569:            | N.block '-' N.block
 1570:  
 1571:  To allow for operations like (J/N)^2 or {N/m}^2 (N/J)^3 
 1572:  
 1573:  
 1574:   B.block := B.term
 1575:            | B.term ' ' B.term
 1576:            | B.term '*' B.term
 1577:            | B.term '/' B.term
 1578:            
 1579:   N.block := N.term 
 1580:            | N.term ' ' N.term
 1581:            | N.term '*' N.term
 1582:            | N.term '/' N.term
 1583:            
 1584:   B.term  := U.item
 1585:            | N.item
 1586:            | '(' B.block ')'
 1587:            | '{' B.block '}'
 1588:            
 1589:            | '(' B.block ')' ^ N.term
 1590:            | '{' B.block '}' ^ N.term
 1591:            
 1592:   N.term  := N.item
 1593:            | '-' N.item
 1594:            | '(' N.expr ')'
 1595:            | '{' N.expr '}'
 1596:            
 1597:   U.item  := UNIT
 1598:            | UNIT '^' N.term
 1599:            
 1600:   N.item  := FLOAT
 1601:            | FLOAT '^' N.term
 1602:            
 1603:   UNIT    := [a-Z]+[a-Z0-9_]*
 1604:   
 1605:   FLOAT   := [0-9]+([eE][+-]?[0-9]+)*
 1606:   
 1607:  ------------------------------------------------------------------- */
 1608:  
 1609: Unit_t *
 1610: p_new_op(Unit_t *left_p, int op, Unit_t *right_p)
 1611: {
 1612:   Unit_t  *new_p;
 1613:   
 1614:   new_p = (Unit_t *) capa_malloc(1, sizeof(Unit_t));
 1615:   if (new_p == NULL) {
 1616:       printf("Ran out of space\n");
 1617:       return(NULL);
 1618:   }
 1619:   new_p->u_left   = left_p;
 1620:   new_p->u_right  = right_p;
 1621:   new_p->u_scale  = 0.0;
 1622:   new_p->u_type   = op;
 1623:   new_p->u_offset = 0.0;
 1624:   new_p->u_count  = 0;
 1625:   new_p->u_list   = NULL;
 1626:   
 1627:   return (new_p);
 1628: }
 1629: 
 1630: Unit_t *
 1631: p_new_num(Unit_t *left_p, double num, Unit_t *right_p)
 1632: {
 1633:   Unit_t  *new_p;
 1634:   
 1635:   new_p = (Unit_t *) capa_malloc(1, sizeof(Unit_t));
 1636:   if (new_p == NULL) {
 1637:       printf("Ran out of space\n");
 1638:       return(NULL);
 1639:   }
 1640:   
 1641:   new_p->u_left   = left_p;
 1642:   new_p->u_right  = right_p;
 1643:   new_p->u_scale  = num;
 1644:   new_p->u_type   = U_CONSTANT;
 1645:   new_p->u_offset = 0.0;
 1646:   new_p->u_count  = 0;
 1647:   new_p->u_list   = NULL;
 1648:   
 1649:   return (new_p);
 1650: }
 1651: 
 1652: Unit_t *
 1653: p_new_unit(Unit_t *left_p, Unit_t *right_p)
 1654: {
 1655:   char     symb_str[ANSWER_STRING_LENG];
 1656:   int      ii=0;
 1657:   int      len;
 1658:   Unit_t  *au_p, *cu_p;
 1659:   int      c_result;
 1660:   char     tmp_str[ANSWER_STRING_LENG];
 1661:   int      err_code = 0;
 1662:   double   d_exp;
 1663:   
 1664:   symb_str[ii]=0;
 1665:   while( isspace(Sbuf[Sidx]) ) { Sidx++; }
 1666:   while( isalnum(Sbuf[Sidx]) || Sbuf[Sidx] == '_' ) {
 1667:     symb_str[ii++] = Sbuf[Sidx];
 1668:     Sidx++;
 1669:   }
 1670:   symb_str[ii]=0;
 1671:   /* printf("<U %s>", symb_str); */
 1672:   cu_p = (Unit_t *) capa_malloc(1, sizeof(Unit_t));
 1673:   strcpy(cu_p->u_symbol,symb_str);
 1674:   cu_p->u_left   = left_p;
 1675:   cu_p->u_right  = right_p;
 1676:   cu_p->u_scale  = 1.0;
 1677:   cu_p->u_type   = U_DERIVED;
 1678:   cu_p->u_offset = 0.0;
 1679:   cu_p->u_count  = 0;
 1680:   cu_p->u_list   = NULL;
 1681:   
 1682:   len = strlen(symb_str);
 1683:   if( len > 0 ) {
 1684:     au_p = u_find_symb(symb_str, UnitTree_p, &c_result);
 1685:     if( c_result == 1 ) {  /* if found, copy the definition over */
 1686:       u_copy_unit(cu_p, au_p, 1);
 1687:     } else {
 1688:       if( len > 1 ) {
 1689:         if( PrefixTbl[ (int)symb_str[0] ] != 0 ) {  /* prefix is defined */
 1690:           for(ii=1;ii<len;ii++) {
 1691:              tmp_str[ii-1] = symb_str[ii];
 1692:           }
 1693:           tmp_str[len-1]=0;
 1694:           au_p = u_find_symb(tmp_str, UnitTree_p, &c_result);
 1695:           if( c_result == 1 ) {
 1696:               /* printf("[%s] ", tmp_str); */
 1697:             u_copy_unit(cu_p, au_p, 1);
 1698:             d_exp = (double)PrefixTbl[ (int)symb_str[0] ];
 1699:             cu_p->u_scale = cu_p->u_scale * pow((double)10.0,d_exp);
 1700:           } else { /* unit *tmp_str not found */
 1701:             /* printf(" not found\n"); */
 1702:             err_code = 3;
 1703:           }
 1704:         } else {
 1705:           /* printf("<<%s>>", symb_str); */
 1706:           err_code = 2;
 1707:         }
 1708:       } else {/* len == 1 */
 1709:         /* printf(" not found\n"); */
 1710:         err_code = 1;
 1711:       }
 1712:     }
 1713:   } else {
 1714:     err_code = 4;
 1715:   }
 1716:   
 1717:   return (cu_p);
 1718: }
 1719: 
 1720: int  s_peeknext_op()
 1721: {
 1722:   char  *ch;
 1723:   int    sp=0;
 1724:   
 1725:   ch = (char *)&Sbuf[Sidx];
 1726:   while( isspace(*ch) ) { ch++; sp=1; }
 1727:   if( (*ch == '*')  || (*ch == '/') || (*ch == '+')  || (*ch == '-') || (*ch == '^')) {
 1728:     return (*ch);
 1729:   }
 1730:   /* what if space is the last thing on the line?*/
 1731:   if( sp && (*ch != '\0')) return '*';
 1732:   return (*ch);
 1733: }
 1734: 
 1735: int  s_getnext_op()
 1736: {
 1737:   char  *ch;
 1738:   int    inc = 0, sp=0;
 1739:   
 1740:   
 1741:   /* printf("\n((op"); print_remains(); printf("\n");  */
 1742:   ch = (char *)&Sbuf[Sidx];
 1743:   while( isspace(*ch) ) { ch++; inc++; sp=1; }
 1744:   Sidx = Sidx + inc;
 1745:   if( (*ch == '*')  || (*ch == '/') || (*ch == '+')  || (*ch == '-') || (*ch == '^') ) {
 1746:     Sidx++;
 1747:     /* print_remains();  printf(" op))"); printf("\n"); */
 1748:     return (*ch);
 1749:   }
 1750:   /* print_remains();  printf(" op))"); printf("\n"); */
 1751:   /* what if space is the last thing on the line?*/
 1752:   if( sp  && (*ch != '\0')) return '*';
 1753:   return (*ch);
 1754: }
 1755: 
 1756: int
 1757: s_getnext()
 1758: {
 1759:   char  ch;
 1760:   
 1761:   ch = Sbuf[Sidx];
 1762:   Sidx++;
 1763:   return (ch);
 1764: }
 1765: 
 1766: int
 1767: s_peeknext()
 1768: {
 1769:   char  ch;
 1770:   
 1771:   ch = Sbuf[Sidx];
 1772:   return (ch);
 1773: }
 1774: 
 1775: int
 1776: s_peeknextNW()  /* peek into the next non-whitespaces character */
 1777: {
 1778:   char  *ch;
 1779: 
 1780:   ch = (char *)&Sbuf[Sidx];
 1781:   while( isspace(*ch) ) { ch++; }
 1782:   return (*ch);
 1783: }
 1784: 
 1785: int
 1786: s_getnextNW()  /* get the next non-whitespaces character */
 1787: {
 1788:   char  *ch;
 1789: 
 1790:   ch = (char *)&Sbuf[Sidx]; Sidx++;
 1791:   while( isspace(*ch) ) { ch++; Sidx++; }
 1792:   return (*ch);
 1793: }
 1794: /* peek into the next non-whitespaces character 
 1795:    which should be either a multiply or division */
 1796: int
 1797: s_peekMDWS()  
 1798: {
 1799:   char  *ch;
 1800:   int    sp=0;
 1801:   
 1802:   ch = (char *)&Sbuf[Sidx];
 1803:   while( isspace(*ch) ) { ch++; sp=1;}
 1804:   if( (*ch == '*')  || (*ch == '/') ) {
 1805:     return (*ch);
 1806:   }
 1807:   if( sp ) return ' ';
 1808:   ch = (char *)&Sbuf[Sidx];
 1809:   while( isspace(*ch) ) { ch++; }
 1810:   return (*ch);
 1811: }
 1812: 
 1813: int
 1814: s_getnextMDWS()
 1815: {
 1816:   char  *ch;
 1817:   int    inc=0, sp=0;
 1818:   
 1819:   ch = (char *)&Sbuf[Sidx]; Sidx++;
 1820:   while( isspace(*ch) ) { ch++; inc++; sp=1; }
 1821:   Sidx += inc;
 1822:   if( (*ch == '*')  || (*ch == '/') ) {
 1823:     return (*ch);
 1824:   }
 1825:   if( sp ) return ' ';
 1826:   return (*ch);
 1827: }
 1828: 
 1829: double
 1830: scan_FLOAT()
 1831: {
 1832:   double   num; 
 1833:   int      ii=0, len;
 1834:   char     num_str[QUARTER_K];
 1835:   
 1836:   num_str[ii]=0;
 1837:   while( isspace(Sbuf[Sidx]) ) { Sidx++; }
 1838:   if( Sbuf[Sidx] == '-' ) {
 1839:     num_str[ii++] = Sbuf[Sidx++];
 1840:   }
 1841:   while( isdigit(Sbuf[Sidx]) || Sbuf[Sidx] == '.' ) {
 1842:       num_str[ii++] = Sbuf[Sidx++];
 1843:   }
 1844:   if( Sbuf[Sidx] == 'E' || Sbuf[Sidx] == 'e' ) {
 1845:     if( Sbuf[Sidx+1] == '-' || isdigit(Sbuf[Sidx+1]) ) {
 1846:       num_str[ii++] = Sbuf[Sidx++];
 1847:       num_str[ii++] = Sbuf[Sidx++];
 1848:       while( isdigit(Sbuf[Sidx]) ) {
 1849:         num_str[ii++] = Sbuf[Sidx++];
 1850:       }
 1851:     }
 1852:   }
 1853:   num_str[ii] = 0; /* terminate the str */
 1854:   len = strlen(num_str);
 1855:   if(len > 0 ) {
 1856:     sscanf(num_str,"%lg", &num);
 1857:     /* printf("<N %s %g>",num_str,num); fflush(stdout);  print_remains(); */
 1858:   } else {
 1859:     num = 1.0;
 1860:   }
 1861:   return (num);
 1862: }
 1863: /* -----------------------------------------------
 1864:   N.item  := FLOAT
 1865:            | FLOAT '^' N.term
 1866:    ----------------------------------------------- */
 1867: Unit_t  *
 1868: scan_num_item()
 1869: {
 1870:   Unit_t  *node_p, *exp_p;
 1871:   double   num_const;
 1872:   char     ch;
 1873:   
 1874:   num_const = scan_FLOAT();
 1875:   node_p = p_new_num(NULL, num_const, NULL);
 1876:   ch = s_peeknext_op();
 1877:   if( ch == '^' ) {
 1878:     ch = s_getnext_op();
 1879:     
 1880:     exp_p = scan_num_term();
 1881:     num_const = node_p->u_scale;
 1882:     if( node_p->u_scale > 0.0 ) {
 1883:       num_const = pow(node_p->u_scale,exp_p->u_scale);
 1884:     }
 1885:     node_p->u_scale = num_const;
 1886:     capa_mfree((char *)exp_p);
 1887:   }
 1888:   return node_p;
 1889: }
 1890: 
 1891: /* -----------------------------------------------
 1892:   U.item  := UNIT
 1893:            | UNIT '^' N.term
 1894:    ----------------------------------------------- */
 1895:    
 1896: Unit_t *
 1897: scan_unit_item()
 1898: {
 1899:   Unit_t   *node_p, *exp_p;
 1900:   char      ch;
 1901:   double   num_const;
 1902:   Unit_E   *oe_p;
 1903:   
 1904:   node_p = p_new_unit(NULL,NULL);
 1905:   ch = s_peeknext_op();
 1906:   if( ch == '^' ) {
 1907:     ch = s_getnext_op();
 1908:     exp_p = scan_num_term();
 1909:     num_const = exp_p->u_scale;
 1910:     if( node_p->u_count > 0 ) {
 1911:       oe_p = node_p->u_list;
 1912:       for(oe_p = node_p->u_list; oe_p; oe_p = oe_p->ue_nextp ) {
 1913:         oe_p->ue_exp   = oe_p->ue_exp * num_const;
 1914:       }
 1915:     }
 1916:     num_const = node_p->u_scale;
 1917:     if( node_p->u_scale > 0.0 ) {
 1918:       num_const = pow(node_p->u_scale,exp_p->u_scale);
 1919:     }
 1920:     node_p->u_scale = num_const;
 1921:     capa_mfree((char *)exp_p);
 1922:   }
 1923:   return node_p;
 1924: }
 1925: 
 1926: void distribute_exp(Unit_t* node_p,Unit_t* exp_p) 
 1927: {
 1928:   Unit_E* oe_p;
 1929:   double num_const;
 1930:   num_const = exp_p->u_scale;  /* should we check if num_const too large or small ? */
 1931:   if( node_p->u_count > 0 ) {
 1932:     oe_p = node_p->u_list;
 1933:     for(oe_p = node_p->u_list; oe_p; oe_p = oe_p->ue_nextp ) {
 1934:       oe_p->ue_exp   = oe_p->ue_exp * num_const;
 1935:     }
 1936:   }
 1937:   num_const = node_p->u_scale;
 1938:   if( node_p->u_scale > 0.0 ) {  /* what if u_scale <= 0.0 ? */
 1939:     num_const = pow(node_p->u_scale,exp_p->u_scale);
 1940:   }
 1941:   node_p->u_scale = num_const;
 1942:   if (node_p->u_left) distribute_exp(node_p->u_left,exp_p);
 1943:   if (node_p->u_right) distribute_exp(node_p->u_right,exp_p);
 1944: }
 1945: 
 1946: /* ---------------------------------------------------------------
 1947:    B.term  := U.item
 1948:            | N.item
 1949:            | '(' B.block ')'
 1950:            | '{' B.block '}'
 1951:            
 1952:            | '(' B.block ')' '^' N.term  <== July 6 1998
 1953:            | '{' B.block '}' '^' N.term
 1954:            
 1955:    --------------------------------------------------------------- */
 1956: Unit_t *
 1957: scan_basic_term()
 1958: {
 1959:   Unit_t   *node_p, *exp_p;
 1960:   int       ch, nch;
 1961:   
 1962:   ch = s_peeknextNW();
 1963:   if( ch == '(' || ch == '{' ) {
 1964:     ch = s_getnextNW();  /* get rid of '(' or '{' */
 1965:     node_p = scan_basic_block();
 1966:     nch = s_peeknextNW();
 1967:     if( nch == ')' || nch == '}' ) {  /* should be either ')' or '}' */
 1968:       if( ((ch == '(' ) && (nch == ')' )) ||
 1969:           ((ch == '{' ) && (nch == '}' )) ) { /* matching left paren with right paren */
 1970:           
 1971:            
 1972:       } else {
 1973:         /* printf(" WARN: %c matched by %c\n", ch, nch); */
 1974:       }
 1975:       nch = s_getnextNW();
 1976:       /* ====== Added Jul 6, 1998 ====> */
 1977:       ch = s_peeknext_op();
 1978:       if( ch == '^' ) {
 1979:         ch = s_getnext_op();  /* get rid of '^' char */
 1980:         exp_p = scan_num_term();
 1981: 	distribute_exp(node_p,exp_p);
 1982:         capa_mfree((char *)exp_p);
 1983:       } 
 1984:       /* <== added Jul 6, 1998 == */
 1985:     } else {
 1986:       /* printf(" WARN: %c is not matched by %c\n", ch, nch); */
 1987:     }
 1988:   } else if( ch >= '0' && ch <= '9' ) {
 1989:     node_p = scan_num_item();
 1990:   } else { /* assume a unit symbol */
 1991:     /* printf("<B.term>"); print_remains(); */
 1992:     node_p = scan_unit_item();
 1993:     /* print_remains(); */
 1994:   }
 1995:   return node_p;
 1996: }
 1997: /* --------------------------------------------------
 1998:    N.term  := N.item
 1999:            | '-' N.item
 2000:            | '(' N.expr ')'
 2001:            | '{' N.expr '}'
 2002:  -------------------------------------------------- */
 2003: Unit_t *
 2004: scan_num_term()
 2005: {
 2006:   Unit_t   *node_p;
 2007:   char      ch, nch;
 2008: 
 2009:   ch = s_peeknextNW();
 2010:   if( ch == '(' || ch == '{' ) {
 2011:     ch = s_getnextNW();
 2012:     node_p = scan_num_expr();
 2013:     nch = s_peeknextNW();
 2014:     if( nch == ')' || nch == '}' ) {  /* should be either ')' or '}' */
 2015:       if( ((ch == '(' ) && (nch == ')' )) ||
 2016:           ((ch == '{' ) && (nch == '}' )) ) { 
 2017:         
 2018:       } else {
 2019:         /* printf(" WARN: %c matched by %c\n", ch, nch); */
 2020:       }
 2021:       nch = s_getnextNW();
 2022:     } else {
 2023:       /* printf(" WARN: %c is not matched by %c\n", ch, ch); */
 2024:     }
 2025:   } else if( ch == '-' ) {
 2026:     ch = s_getnextNW();
 2027:     node_p = scan_num_item();
 2028:     node_p->u_scale = (-1)*node_p->u_scale;
 2029:   } else {
 2030:     if( isdigit(ch) ) {
 2031:        node_p = scan_num_item();
 2032:     } else { /* something other than a number */
 2033:        /*
 2034:           printf(" ERROR: expect a number: ");
 2035:           print_remains();
 2036:        */
 2037:        node_p = p_new_num(NULL, 0.0, NULL); /* make the unknown item */
 2038:     }
 2039:   }
 2040:   return node_p;
 2041: }
 2042: 
 2043: /* --------------------------------------------------
 2044:    B.block := B.term
 2045:            | B.term ' ' B.term
 2046:            | B.term '*' B.term
 2047:            | B.term '/' B.term
 2048:    -------------------------------------------------- */
 2049: Unit_t  *
 2050: scan_basic_block()
 2051: {
 2052:   Unit_t   *node_p;
 2053:   char      ch;
 2054:   int       op;
 2055:   
 2056:   /* printf("<B.block>(before B.term)"); print_remains(); */
 2057:   node_p = scan_basic_term();
 2058:   ch = s_peeknext_op();
 2059:   while ( ch == '*' || ch == '/' ) {
 2060:     op = ( ch == '/' ? U_OP_DIVIDE : U_OP_TIMES);
 2061:     ch = s_getnext_op();
 2062:     /* printf("<B.block>(/ *)"); print_remains();  */
 2063:     node_p = p_new_op(node_p,op,scan_basic_term());
 2064:     ch = s_peeknext_op();
 2065:   }
 2066:   return node_p;
 2067: }
 2068: /* --------------------------------------------------
 2069:    N.block := N.term 
 2070:            | N.term ' ' N.term
 2071:            | N.term '*' N.term
 2072:            | N.term '/' N.term
 2073:    -------------------------------------------------- */
 2074: Unit_t  *
 2075: scan_num_block()
 2076: {
 2077:   Unit_t   *node_p, *opand_p;
 2078:   char      ch;
 2079:   double    result;
 2080:   
 2081:   node_p = scan_num_term();
 2082:   ch = s_peeknext_op();
 2083:   while ( ch == '*' || ch == '/' ) {
 2084:     s_getnext_op();
 2085:     opand_p = scan_num_term();
 2086:     if( ch == '*' ) {
 2087:       result = node_p->u_scale * opand_p->u_scale;
 2088:     } else {
 2089:       result = node_p->u_scale / opand_p->u_scale;
 2090:     }
 2091:     node_p->u_scale = result;
 2092:     capa_mfree((char *)opand_p);
 2093:     ch = s_peeknext_op();
 2094:   }
 2095:   return node_p;
 2096: }
 2097: 
 2098: /* ---------------------------------------
 2099:    U.expr  := B.block
 2100:            | B.block '+' B.block
 2101:            | B.block '-' B.block
 2102:    --------------------------------------- */
 2103: Unit_t  *
 2104: scan_unit_expr()
 2105: {
 2106:   Unit_t   *node_p;
 2107:   char      ch;
 2108:   int       op;
 2109:   
 2110:   /* printf("<U.expr>"); print_remains();  */
 2111:   node_p = scan_basic_block();
 2112:   ch = s_peeknext_op();
 2113:   while ( ch == '+' || ch == '-' ) {
 2114:     op = ( ch == '+' ? U_OP_PLUS : U_OP_MINUS);
 2115:     ch = s_getnext_op();
 2116:     /* printf("<U.expr>(+-)"); print_remains(); */
 2117:     node_p = p_new_op(node_p,op,scan_basic_block());
 2118:     ch = s_peeknext_op();
 2119:   }
 2120:   return node_p;
 2121: }
 2122: /* -----------------------------------------
 2123:    N.expr  := N.block 
 2124:            | N.block '+' N.block
 2125:            | N.block '-' N.block
 2126:    ----------------------------------------- */
 2127: Unit_t  *
 2128: scan_num_expr()
 2129: {
 2130:   Unit_t   *node_p, *opand_p;
 2131:   char      ch;
 2132:   double    result;
 2133:   
 2134:   node_p = scan_num_block();
 2135:   ch = s_peeknext_op();
 2136:   while ( ch == '+' || ch == '-' ) {
 2137:     ch = s_getnext_op();
 2138:     opand_p = scan_num_block();
 2139:     if( ch == '+' ) {
 2140:       result = node_p->u_scale + opand_p->u_scale;
 2141:     } else {
 2142:       result = node_p->u_scale - opand_p->u_scale;
 2143:     }
 2144:     node_p->u_scale = result;
 2145:     capa_mfree((char *)opand_p);
 2146:     ch = s_peeknext_op();
 2147:   }
 2148:   return node_p;
 2149: }
 2150: 
 2151: /* ----------------------------------------------------------------------- */
 2152: /* <--  This is the major entry point to parse an units expression ------> */
 2153: Unit_t  *
 2154: parse_unit_expr(char *symb_str)
 2155: {
 2156:   Unit_t   *root_p;
 2157:   int       len;
 2158:   
 2159:   len = strlen(symb_str);
 2160:   strcpy(Sbuf,symb_str);  /* copy it into the global Sbuf */
 2161:   Sidx=0;
 2162:   root_p = scan_unit_expr();
 2163:   if(Sidx < len-1 ) {
 2164:     /* printf(" WARN: NOT PARSED:");  print_remains(); */
 2165:   }
 2166:   return (root_p);
 2167: 
 2168: }
 2169: 
 2170: void
 2171: print_remains()
 2172: {
 2173:   int       len, ii;
 2174:   
 2175:   len = strlen(Sbuf);
 2176:   printf("[[");
 2177:   for(ii=Sidx;ii<len;ii++) {
 2178:       printf("%c",Sbuf[ii]);
 2179:   }
 2180:   printf("]]");
 2181:   
 2182: }
 2183: 
 2184: 
 2185: 
 2186: /* =================================================================== */

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