| 1 | /* module to compile and execute a c-style arithmetic expression made of INDI
 | 
|---|
| 2 |  * operands. operand names must contain 2 dots and be surrounded by quotes.
 | 
|---|
| 3 |  * The expression is compiled and the names of each operand are stored. The
 | 
|---|
| 4 |  * values of an operand can be set later by name. Evaluation uses the last
 | 
|---|
| 5 |  * known operand value.
 | 
|---|
| 6 |  *
 | 
|---|
| 7 |  * one reason this is so nice and tight is that all opcodes are the same size
 | 
|---|
| 8 |  * (an int) and the tokens the parser returns are directly usable as opcodes.
 | 
|---|
| 9 |  * constants and variables are compiled as an opcode with an offset into the
 | 
|---|
| 10 |  * auxiliary consts and vars arrays.
 | 
|---|
| 11 |  *
 | 
|---|
| 12 |  * this is not reentrant, but new expressions can be compiled as desired.
 | 
|---|
| 13 |  */
 | 
|---|
| 14 | 
 | 
|---|
| 15 | #include <stdio.h>
 | 
|---|
| 16 | #include <math.h>
 | 
|---|
| 17 | #include <ctype.h>
 | 
|---|
| 18 | #include <stdlib.h>
 | 
|---|
| 19 | #include <string.h>
 | 
|---|
| 20 | 
 | 
|---|
| 21 | static int next_token (void);
 | 
|---|
| 22 | static int chk_funcs (void);
 | 
|---|
| 23 | static void skip_double (void);
 | 
|---|
| 24 | static int compile (int prec);
 | 
|---|
| 25 | static int execute (double *result);
 | 
|---|
| 26 | static int parse_fieldname (char name[], int len);
 | 
|---|
| 27 | 
 | 
|---|
| 28 | /* parser tokens and opcodes, as necessary */
 | 
|---|
| 29 | enum {
 | 
|---|
| 30 |     HALT,                       /* HALT = 0 serves as good initial default */
 | 
|---|
| 31 | 
 | 
|---|
| 32 |     /* binary operators (precedences in table, below) */
 | 
|---|
| 33 |     ADD,
 | 
|---|
| 34 |     SUB,
 | 
|---|
| 35 |     MULT,
 | 
|---|
| 36 |     DIV,
 | 
|---|
| 37 |     AND,
 | 
|---|
| 38 |     OR,
 | 
|---|
| 39 |     GT,
 | 
|---|
| 40 |     GE,
 | 
|---|
| 41 |     EQ,
 | 
|---|
| 42 |     NE,
 | 
|---|
| 43 |     LT,
 | 
|---|
| 44 |     LE,
 | 
|---|
| 45 | 
 | 
|---|
| 46 |     /* unary ops, precedence all UNI_PREC */
 | 
|---|
| 47 |     NEG,
 | 
|---|
| 48 |     NOT,
 | 
|---|
| 49 | 
 | 
|---|
| 50 |     /* symantically operands, ie, constants, variables and all functions */
 | 
|---|
| 51 |     CONST,
 | 
|---|
| 52 |     VAR,
 | 
|---|
| 53 |     ABS,
 | 
|---|
| 54 |     FLOOR,
 | 
|---|
| 55 |     SIN,
 | 
|---|
| 56 |     COS,
 | 
|---|
| 57 |     TAN,
 | 
|---|
| 58 |     ASIN,
 | 
|---|
| 59 |     ACOS,
 | 
|---|
| 60 |     ATAN,
 | 
|---|
| 61 |     PITOK,                      /* built-in constant, pi */
 | 
|---|
| 62 |     DEGRAD,
 | 
|---|
| 63 |     RADDEG,
 | 
|---|
| 64 |     LOG,
 | 
|---|
| 65 |     LOG10,
 | 
|---|
| 66 |     EXP,
 | 
|---|
| 67 |     SQRT,
 | 
|---|
| 68 |     POW,
 | 
|---|
| 69 |     ATAN2,
 | 
|---|
| 70 | };
 | 
|---|
| 71 | 
 | 
|---|
| 72 | /* purely tokens - never get compiled as such */
 | 
|---|
| 73 | #define LPAREN  255
 | 
|---|
| 74 | #define RPAREN  254
 | 
|---|
| 75 | #define COMMA   253
 | 
|---|
| 76 | #define ERR     (-1)
 | 
|---|
| 77 | 
 | 
|---|
| 78 | /* precedence of each of the binary operators.
 | 
|---|
| 79 |  * in case of a tie, compiler associates left-to-right.
 | 
|---|
| 80 |  * N.B. each entry's index must correspond to its #define!
 | 
|---|
| 81 |  */
 | 
|---|
| 82 | static int precedence[] = {0,5,5,6,6,2,1,4,4,3,3,4,4};
 | 
|---|
| 83 | #define UNI_PREC        7       /* unary ops have highest precedence */
 | 
|---|
| 84 | 
 | 
|---|
| 85 | /* execute-time operand stack */
 | 
|---|
| 86 | #define MAX_STACK       32
 | 
|---|
| 87 | static double stack[MAX_STACK], *sp;
 | 
|---|
| 88 | 
 | 
|---|
| 89 | /* space for compiled opcodes - the "program".
 | 
|---|
| 90 |  * opcodes go in lower 8 bits.
 | 
|---|
| 91 |  * when an opcode has an operand (as CONST and VAR) it is really an array
 | 
|---|
| 92 |  *   index in the remaining upper bits.
 | 
|---|
| 93 |  */
 | 
|---|
| 94 | #define MAX_PROG 32
 | 
|---|
| 95 | static int program[MAX_PROG], *pc;
 | 
|---|
| 96 | #define OP_SHIFT        8
 | 
|---|
| 97 | #define OP_MASK         0xff
 | 
|---|
| 98 | 
 | 
|---|
| 99 | /* auxiliary operand info.
 | 
|---|
| 100 |  * the operands (all but lower 8 bits) of CONST and VAR are really indeces
 | 
|---|
| 101 |  * into these arrays. thus, no point in making them any longer than you have
 | 
|---|
| 102 |  * bits more than 8 in your machine's int to index into it, ie, make
 | 
|---|
| 103 |  *    MAX_OPX < 1 << ((sizeof(int)-1)*8)
 | 
|---|
| 104 |  */
 | 
|---|
| 105 | #define MAX_OPX         64      /* max number of operands */
 | 
|---|
| 106 | #define MAXFLDLEN       64      /* longest allowed operand name */
 | 
|---|
| 107 | typedef struct {
 | 
|---|
| 108 |     int set;                    /* 1 when v has been set */
 | 
|---|
| 109 |     char name[MAXFLDLEN];       /* name of operand */
 | 
|---|
| 110 |     double v;                   /* last known value of this operand */
 | 
|---|
| 111 | } Var;
 | 
|---|
| 112 | static Var vars[MAX_OPX];       /* operands */
 | 
|---|
| 113 | static int nvars;               /* number of vars[] in actual use */
 | 
|---|
| 114 | static double consts[MAX_OPX];  /* constants */
 | 
|---|
| 115 | static int nconsts;             /* number of consts[] in actual use */
 | 
|---|
| 116 | 
 | 
|---|
| 117 | /* these are global just for easy/rapid access */
 | 
|---|
| 118 | static int parens_nest; /* to check that parens end up nested */
 | 
|---|
| 119 | static char *err_msg;   /* caller provides storage; we point at it with this */
 | 
|---|
| 120 | static char *cexpr, *lcexpr; /* pointers that move along caller's expression */
 | 
|---|
| 121 | 
 | 
|---|
| 122 | /* compile the given c-style expression.
 | 
|---|
| 123 |  * return 0 if ok, else return -1 and a reason message in errbuf.
 | 
|---|
| 124 |  */
 | 
|---|
| 125 | int
 | 
|---|
| 126 | compileExpr (char *exp, char *errbuf)
 | 
|---|
| 127 | {
 | 
|---|
| 128 |         /* init the globals.
 | 
|---|
| 129 |          * also delete any flogs used in the previous program.
 | 
|---|
| 130 |          */
 | 
|---|
| 131 |         cexpr = exp;
 | 
|---|
| 132 |         err_msg = errbuf;
 | 
|---|
| 133 |         pc = program;
 | 
|---|
| 134 |         nvars = nconsts = 0;
 | 
|---|
| 135 |         parens_nest = 0;
 | 
|---|
| 136 | 
 | 
|---|
| 137 |         pc = program;
 | 
|---|
| 138 |         if (compile(0) == ERR) {
 | 
|---|
| 139 |             (void) sprintf (err_msg + strlen(err_msg), " near `%.10s'", lcexpr);
 | 
|---|
| 140 |             return (-1);
 | 
|---|
| 141 |         }
 | 
|---|
| 142 |         if (pc == program) {
 | 
|---|
| 143 |             (void) sprintf (err_msg, "Null program");
 | 
|---|
| 144 |             return (-1);
 | 
|---|
| 145 |         }
 | 
|---|
| 146 |         *pc++ = HALT;
 | 
|---|
| 147 |         return (0);
 | 
|---|
| 148 | }
 | 
|---|
| 149 | 
 | 
|---|
| 150 | /* execute the expression previously compiled with compileExpr().
 | 
|---|
| 151 |  * return 0 with *vp set to the answer if ok, else return -1 with a reason
 | 
|---|
| 152 |  * why not message in errbuf.
 | 
|---|
| 153 |  */
 | 
|---|
| 154 | int
 | 
|---|
| 155 | evalExpr (double *vp, char *errbuf)
 | 
|---|
| 156 | {
 | 
|---|
| 157 |         err_msg = errbuf;
 | 
|---|
| 158 |         sp = stack + MAX_STACK; /* grows towards lower addresses */
 | 
|---|
| 159 |         pc = program;
 | 
|---|
| 160 |         return (execute(vp));
 | 
|---|
| 161 | }
 | 
|---|
| 162 | 
 | 
|---|
| 163 | /* set the value for an operand with the given name to the given value.
 | 
|---|
| 164 |  * return 0 if found else -1.
 | 
|---|
| 165 |  */
 | 
|---|
| 166 | int
 | 
|---|
| 167 | setOperand (char *name, double valu)
 | 
|---|
| 168 | {
 | 
|---|
| 169 |         int i;
 | 
|---|
| 170 | 
 | 
|---|
| 171 |         for (i = 0; i < nvars; i++) {
 | 
|---|
| 172 |             if (strcmp (name, vars[i].name) == 0) {
 | 
|---|
| 173 |                 vars[i].v = valu;
 | 
|---|
| 174 |                 vars[i].set = 1;
 | 
|---|
| 175 |                 return(0);
 | 
|---|
| 176 |             }
 | 
|---|
| 177 |         }
 | 
|---|
| 178 | 
 | 
|---|
| 179 |         return (-1);
 | 
|---|
| 180 | }
 | 
|---|
| 181 | 
 | 
|---|
| 182 | /* return 0 if all operands are set, else -1 */
 | 
|---|
| 183 | int 
 | 
|---|
| 184 | allOperandsSet ()
 | 
|---|
| 185 | {
 | 
|---|
| 186 |         int i;
 | 
|---|
| 187 | 
 | 
|---|
| 188 |         for (i = 0; i < nvars; i++)
 | 
|---|
| 189 |             if (!vars[i].set)
 | 
|---|
| 190 |                 return (-1);
 | 
|---|
| 191 |         return (0);
 | 
|---|
| 192 | }
 | 
|---|
| 193 | 
 | 
|---|
| 194 | /* return a malloced array of each operand name.
 | 
|---|
| 195 |  * N.B. caller must free array, and not modify names.
 | 
|---|
| 196 |  */
 | 
|---|
| 197 | int
 | 
|---|
| 198 | getAllOperands (char ***ops)
 | 
|---|
| 199 | {
 | 
|---|
| 200 |         int i;
 | 
|---|
| 201 | 
 | 
|---|
| 202 |         *ops = (char **) malloc (nvars * sizeof(char *));
 | 
|---|
| 203 | 
 | 
|---|
| 204 |         for (i = 0; i < nvars; i++)
 | 
|---|
| 205 |             (*ops)[i] = vars[i].name;
 | 
|---|
| 206 | 
 | 
|---|
| 207 |         return (nvars);
 | 
|---|
| 208 | }
 | 
|---|
| 209 | 
 | 
|---|
| 210 | /* return a malloced array of each initialized operand name.
 | 
|---|
| 211 |  * N.B. caller must free array, and not modify the names.
 | 
|---|
| 212 |  */
 | 
|---|
| 213 | int
 | 
|---|
| 214 | getSetOperands (char ***ops)
 | 
|---|
| 215 | {
 | 
|---|
| 216 |         int i, n;
 | 
|---|
| 217 | 
 | 
|---|
| 218 |         *ops = (char **) malloc (nvars * sizeof(char *));
 | 
|---|
| 219 | 
 | 
|---|
| 220 |         for (n = i = 0; i < nvars; i++)
 | 
|---|
| 221 |             if (vars[i].set)
 | 
|---|
| 222 |                 (*ops)[n++] = vars[i].name;
 | 
|---|
| 223 | 
 | 
|---|
| 224 |         return (n);
 | 
|---|
| 225 | }
 | 
|---|
| 226 | 
 | 
|---|
| 227 | /* return a malloced array of each uninitialized operand name.
 | 
|---|
| 228 |  * N.B. caller must free array, and not modify the names.
 | 
|---|
| 229 |  */
 | 
|---|
| 230 | int
 | 
|---|
| 231 | getUnsetOperands (char ***ops)
 | 
|---|
| 232 | {
 | 
|---|
| 233 |         int i, n;
 | 
|---|
| 234 | 
 | 
|---|
| 235 |         *ops = (char **) malloc (nvars * sizeof(char *));
 | 
|---|
| 236 | 
 | 
|---|
| 237 |         for (n = i = 0; i < nvars; i++)
 | 
|---|
| 238 |             if (!vars[i].set)
 | 
|---|
| 239 |                 (*ops)[n++] = vars[i].name;
 | 
|---|
| 240 | 
 | 
|---|
| 241 |         return (n);
 | 
|---|
| 242 | }
 | 
|---|
| 243 | 
 | 
|---|
| 244 | /* called when each different field is written.
 | 
|---|
| 245 |  * this is just called by srch_log() to hide the fact from users of srch*
 | 
|---|
| 246 |  * that srch is really using our vars array to store values.
 | 
|---|
| 247 |  * since this gets called for all fields, it's not an error to not find name.
 | 
|---|
| 248 |  * don't stop when see the first one because a term might appear more than once.
 | 
|---|
| 249 |  */
 | 
|---|
| 250 | void
 | 
|---|
| 251 | compiler_log (name, value)
 | 
|---|
| 252 | char *name;
 | 
|---|
| 253 | double value;
 | 
|---|
| 254 | {
 | 
|---|
| 255 |         Var *vp;
 | 
|---|
| 256 | 
 | 
|---|
| 257 |         for (vp = vars; vp < &vars[nvars]; vp++)
 | 
|---|
| 258 |             if (vp->name && strcmp (vp->name, name) == 0)
 | 
|---|
| 259 |                 vp->v = value;
 | 
|---|
| 260 | }
 | 
|---|
| 261 | 
 | 
|---|
| 262 | /* get and return the opcode corresponding to the next token.
 | 
|---|
| 263 |  * leave with lcexpr pointing at the new token, cexpr just after it.
 | 
|---|
| 264 |  * also watch for mismatches parens and proper operator/operand alternation.
 | 
|---|
| 265 |  */
 | 
|---|
| 266 | static int
 | 
|---|
| 267 | next_token ()
 | 
|---|
| 268 | {
 | 
|---|
| 269 |         static char toomv[] = "More than %d variables";
 | 
|---|
| 270 |         static char toomc[] = "More than %d constants";
 | 
|---|
| 271 |         static char badop[] = "Illegal operator";
 | 
|---|
| 272 |         int tok = ERR;  /* just something illegal */
 | 
|---|
| 273 |         char c;
 | 
|---|
| 274 | 
 | 
|---|
| 275 |         while (isspace(c = *cexpr))
 | 
|---|
| 276 |             cexpr++;
 | 
|---|
| 277 |         lcexpr = cexpr++;
 | 
|---|
| 278 | 
 | 
|---|
| 279 |         /* mainly check for a binary operator */
 | 
|---|
| 280 |         switch (c) {
 | 
|---|
| 281 |         case ',': tok = COMMA; break;
 | 
|---|
| 282 |         case '\0': --cexpr; tok = HALT; break; /* keep returning HALT */
 | 
|---|
| 283 |         case '+': tok = ADD; break; /* compiler knows when it's really unary */
 | 
|---|
| 284 |         case '-': tok = SUB; break; /* compiler knows when it's really negate */
 | 
|---|
| 285 |         case '*': tok = MULT; break;
 | 
|---|
| 286 |         case '/': tok = DIV; break;
 | 
|---|
| 287 |         case '(': parens_nest++; tok = LPAREN; break;
 | 
|---|
| 288 |         case ')':
 | 
|---|
| 289 |             if (--parens_nest < 0) {
 | 
|---|
| 290 |                 (void) sprintf (err_msg, "Too many right parens");
 | 
|---|
| 291 |                 return (ERR);
 | 
|---|
| 292 |             } else
 | 
|---|
| 293 |                 tok = RPAREN;
 | 
|---|
| 294 |             break;
 | 
|---|
| 295 |         case '|':
 | 
|---|
| 296 |             if (*cexpr == '|') { cexpr++; tok = OR; }
 | 
|---|
| 297 |             else { (void) sprintf (err_msg, badop); return (ERR); }
 | 
|---|
| 298 |             break;
 | 
|---|
| 299 |         case '&':
 | 
|---|
| 300 |             if (*cexpr == '&') { cexpr++; tok = AND; }
 | 
|---|
| 301 |             else { (void) sprintf (err_msg, badop); return (ERR); }
 | 
|---|
| 302 |             break;
 | 
|---|
| 303 |         case '=':
 | 
|---|
| 304 |             if (*cexpr == '=') { cexpr++; tok = EQ; }
 | 
|---|
| 305 |             else { (void) sprintf (err_msg, badop); return (ERR); }
 | 
|---|
| 306 |             break;
 | 
|---|
| 307 |         case '!':
 | 
|---|
| 308 |             if (*cexpr == '=') { cexpr++; tok = NE; } else { tok = NOT; }
 | 
|---|
| 309 |             break;
 | 
|---|
| 310 |         case '<':
 | 
|---|
| 311 |             if (*cexpr == '=') { cexpr++; tok = LE; }
 | 
|---|
| 312 |             else tok = LT;
 | 
|---|
| 313 |             break;
 | 
|---|
| 314 |         case '>':
 | 
|---|
| 315 |             if (*cexpr == '=') { cexpr++; tok = GE; }
 | 
|---|
| 316 |             else tok = GT;
 | 
|---|
| 317 |             break;
 | 
|---|
| 318 |         }
 | 
|---|
| 319 | 
 | 
|---|
| 320 |         if (tok != ERR)
 | 
|---|
| 321 |             return (tok);
 | 
|---|
| 322 | 
 | 
|---|
| 323 |         /* not op so check for a constant, variable or function */
 | 
|---|
| 324 |         if (isdigit(c) || c == '.') {
 | 
|---|
| 325 |             /* looks like a constant.
 | 
|---|
| 326 |              * leading +- already handled
 | 
|---|
| 327 |              */
 | 
|---|
| 328 |             if (nconsts > MAX_OPX) {
 | 
|---|
| 329 |                 (void) sprintf (err_msg, toomc, MAX_OPX);
 | 
|---|
| 330 |                 return (ERR);
 | 
|---|
| 331 |             }
 | 
|---|
| 332 |             consts[nconsts] = atof (lcexpr);
 | 
|---|
| 333 |             tok = CONST | (nconsts++ << OP_SHIFT);
 | 
|---|
| 334 |             skip_double();
 | 
|---|
| 335 |         } else if (isalpha(c)) {
 | 
|---|
| 336 |             /* check list of functions */
 | 
|---|
| 337 |             tok = chk_funcs();
 | 
|---|
| 338 |             if (tok == ERR) {
 | 
|---|
| 339 |                 (void) sprintf (err_msg, "Bad function");
 | 
|---|
| 340 |                 return (ERR);
 | 
|---|
| 341 |             }
 | 
|---|
| 342 |         } else if (c == '"') {
 | 
|---|
| 343 |             /* a variable */
 | 
|---|
| 344 |             if (nvars > MAX_OPX) {
 | 
|---|
| 345 |                 (void) sprintf (err_msg, toomv, MAX_OPX);
 | 
|---|
| 346 |                 return (ERR);
 | 
|---|
| 347 |             }
 | 
|---|
| 348 |             if (parse_fieldname (vars[nvars].name, MAXFLDLEN) < 0) {
 | 
|---|
| 349 |                 (void) sprintf (err_msg, "Bad field");
 | 
|---|
| 350 |                 return (ERR);
 | 
|---|
| 351 |             } else
 | 
|---|
| 352 |                 tok = VAR | (nvars++ << OP_SHIFT);
 | 
|---|
| 353 |         }
 | 
|---|
| 354 | 
 | 
|---|
| 355 |         if (tok != ERR)
 | 
|---|
| 356 |             return (tok);
 | 
|---|
| 357 | 
 | 
|---|
| 358 |         /* what the heck is it? */
 | 
|---|
| 359 |         (void) sprintf (err_msg, "Syntax error");
 | 
|---|
| 360 |         return (ERR);
 | 
|---|
| 361 | }
 | 
|---|
| 362 | 
 | 
|---|
| 363 | /* return funtion token, else ERR.
 | 
|---|
| 364 |  * if find one, update cexpr too.
 | 
|---|
| 365 |  */
 | 
|---|
| 366 | static int
 | 
|---|
| 367 | chk_funcs()
 | 
|---|
| 368 | {
 | 
|---|
| 369 |         static struct {
 | 
|---|
| 370 |             char *st_name;
 | 
|---|
| 371 |             int st_tok;
 | 
|---|
| 372 |         } symtab[] = {
 | 
|---|
| 373 |              /* be sure to put short names AFTER longer ones.
 | 
|---|
| 374 |               * otherwise, order does not matter.
 | 
|---|
| 375 |               */
 | 
|---|
| 376 |             {"abs", ABS},       {"floor", FLOOR},       {"acos", ACOS},
 | 
|---|
| 377 |             {"asin", ASIN},     {"atan2", ATAN2},       {"atan", ATAN},
 | 
|---|
| 378 |             {"cos", COS},       {"degrad", DEGRAD},     {"exp", EXP},
 | 
|---|
| 379 |             {"log10", LOG10},   {"log", LOG},           {"pi", PITOK},
 | 
|---|
| 380 |             {"pow", POW},       {"raddeg", RADDEG},     {"sin", SIN},
 | 
|---|
| 381 |             {"sqrt", SQRT},     {"tan", TAN},
 | 
|---|
| 382 |         };
 | 
|---|
| 383 |         int i;
 | 
|---|
| 384 | 
 | 
|---|
| 385 |         for (i = 0; i < sizeof(symtab)/sizeof(symtab[0]); i++) {
 | 
|---|
| 386 |             int l = strlen (symtab[i].st_name);
 | 
|---|
| 387 |             if (strncmp (lcexpr, symtab[i].st_name, l) == 0) {
 | 
|---|
| 388 |                 cexpr += l-1;
 | 
|---|
| 389 |                 return (symtab[i].st_tok);
 | 
|---|
| 390 |             }
 | 
|---|
| 391 |         }
 | 
|---|
| 392 |         return (ERR);
 | 
|---|
| 393 | }
 | 
|---|
| 394 | 
 | 
|---|
| 395 | /* move cexpr on past a double.
 | 
|---|
| 396 |  * allow sci notation.
 | 
|---|
| 397 |  * no need to worry about a leading '-' or '+' but allow them after an 'e'.
 | 
|---|
| 398 |  * TODO: this handles all the desired cases, but also admits a bit too much
 | 
|---|
| 399 |  *   such as things like 1eee2...3. geeze; to skip a double right you almost
 | 
|---|
| 400 |  *   have to go ahead and crack it!
 | 
|---|
| 401 |  */
 | 
|---|
| 402 | static void
 | 
|---|
| 403 | skip_double()
 | 
|---|
| 404 | {
 | 
|---|
| 405 |         int sawe = 0;   /* so we can allow '-' or '+' right after an 'e' */
 | 
|---|
| 406 | 
 | 
|---|
| 407 |         for (;;) {
 | 
|---|
| 408 |             char c = *cexpr;
 | 
|---|
| 409 |             if (isdigit(c) || c=='.' || (sawe && (c=='-' || c=='+'))) {
 | 
|---|
| 410 |                 sawe = 0;
 | 
|---|
| 411 |                 cexpr++;
 | 
|---|
| 412 |             } else if (c == 'e') {
 | 
|---|
| 413 |                 sawe = 1;
 | 
|---|
| 414 |                 cexpr++;
 | 
|---|
| 415 |             } else
 | 
|---|
| 416 |                 break;
 | 
|---|
| 417 |         }
 | 
|---|
| 418 | }
 | 
|---|
| 419 | 
 | 
|---|
| 420 | /* call this whenever you want to dig out the next (sub)expression.
 | 
|---|
| 421 |  * keep compiling instructions as long as the operators are higher precedence
 | 
|---|
| 422 |  * than prec (or until see HALT, COMMA or RPAREN) then return that
 | 
|---|
| 423 |  * "look-ahead" token.
 | 
|---|
| 424 |  * if error, fill in a message in err_msg[] and return ERR.
 | 
|---|
| 425 |  */
 | 
|---|
| 426 | static int
 | 
|---|
| 427 | compile (prec)
 | 
|---|
| 428 | int prec;
 | 
|---|
| 429 | {
 | 
|---|
| 430 |         int expect_binop = 0;   /* set after we have seen any operand.
 | 
|---|
| 431 |                                  * used by SUB so it can tell if it really 
 | 
|---|
| 432 |                                  * should be taken to be a NEG instead.
 | 
|---|
| 433 |                                  */
 | 
|---|
| 434 |         int tok = next_token ();
 | 
|---|
| 435 |         int *oldpc;
 | 
|---|
| 436 | 
 | 
|---|
| 437 |         for (;;) {
 | 
|---|
| 438 |             int p;
 | 
|---|
| 439 |             if (tok == ERR)
 | 
|---|
| 440 |                 return (ERR);
 | 
|---|
| 441 |             if (pc - program >= MAX_PROG) {
 | 
|---|
| 442 |                 (void) sprintf (err_msg, "Program is too long");
 | 
|---|
| 443 |                 return (ERR);
 | 
|---|
| 444 |             }
 | 
|---|
| 445 | 
 | 
|---|
| 446 |             /* check for special things like functions, constants and parens */
 | 
|---|
| 447 |             switch (tok & OP_MASK) {
 | 
|---|
| 448 |             case COMMA: return (tok);
 | 
|---|
| 449 |             case HALT: return (tok);
 | 
|---|
| 450 |             case ADD:
 | 
|---|
| 451 |                 if (expect_binop)
 | 
|---|
| 452 |                     break;      /* procede with binary addition */
 | 
|---|
| 453 |                 /* just skip a unary positive(?) */
 | 
|---|
| 454 |                 tok = next_token();
 | 
|---|
| 455 |                 if (tok == HALT) {
 | 
|---|
| 456 |                     (void) sprintf (err_msg, "Term expected after unary +");
 | 
|---|
| 457 |                     return (ERR);
 | 
|---|
| 458 |                 }
 | 
|---|
| 459 |                 continue;
 | 
|---|
| 460 |             case SUB:
 | 
|---|
| 461 |                 if (expect_binop)
 | 
|---|
| 462 |                     break;      /* procede with binary subtract */
 | 
|---|
| 463 |                 oldpc = pc;
 | 
|---|
| 464 |                 tok = compile (UNI_PREC);
 | 
|---|
| 465 |                 if (oldpc == pc) {
 | 
|---|
| 466 |                     (void) sprintf (err_msg, "Term expected after unary -");
 | 
|---|
| 467 |                     return (ERR);
 | 
|---|
| 468 |                 }
 | 
|---|
| 469 |                 *pc++ = NEG;
 | 
|---|
| 470 |                 expect_binop = 1;
 | 
|---|
| 471 |                 continue;
 | 
|---|
| 472 |             case NOT:
 | 
|---|
| 473 |                 oldpc = pc;
 | 
|---|
| 474 |                 tok = compile (UNI_PREC);
 | 
|---|
| 475 |                 if (oldpc == pc) {
 | 
|---|
| 476 |                     (void) sprintf (err_msg, "Term expected after unary !");
 | 
|---|
| 477 |                     return (ERR);
 | 
|---|
| 478 |                 }
 | 
|---|
| 479 |                 *pc++ = NOT;
 | 
|---|
| 480 |                 expect_binop = 1;
 | 
|---|
| 481 |                 continue;
 | 
|---|
| 482 |             /* one-arg functions */
 | 
|---|
| 483 |             case ABS: case FLOOR: case SIN: case COS: case TAN: case ASIN:
 | 
|---|
| 484 |             case ACOS: case ATAN: case DEGRAD: case RADDEG: case LOG:
 | 
|---|
| 485 |             case LOG10: case EXP: case SQRT:
 | 
|---|
| 486 |                 /* eat up the function's parenthesized argument */
 | 
|---|
| 487 |                 if (next_token() != LPAREN) {
 | 
|---|
| 488 |                     (void) sprintf (err_msg, "expecting '(' after function");
 | 
|---|
| 489 |                     return (ERR);
 | 
|---|
| 490 |                 }
 | 
|---|
| 491 |                 oldpc = pc;
 | 
|---|
| 492 |                 if (compile (0) != RPAREN || oldpc == pc) {
 | 
|---|
| 493 |                     (void) sprintf (err_msg, "1-arg function arglist error");
 | 
|---|
| 494 |                     return (ERR);
 | 
|---|
| 495 |                 }
 | 
|---|
| 496 |                 *pc++ = tok;
 | 
|---|
| 497 |                 tok = next_token();
 | 
|---|
| 498 |                 expect_binop = 1;
 | 
|---|
| 499 |                 continue;
 | 
|---|
| 500 |             /* two-arg functions */
 | 
|---|
| 501 |             case POW: case ATAN2:
 | 
|---|
| 502 |                 /* eat up the function's parenthesized arguments */
 | 
|---|
| 503 |                 if (next_token() != LPAREN) {
 | 
|---|
| 504 |                     (void) sprintf (err_msg, "Saw a built-in function: expecting (");
 | 
|---|
| 505 |                     return (ERR);
 | 
|---|
| 506 |                 }
 | 
|---|
| 507 |                 oldpc = pc;
 | 
|---|
| 508 |                 if (compile (0) != COMMA || oldpc == pc) {
 | 
|---|
| 509 |                     (void) sprintf (err_msg, "1st of 2-arg function arglist error");
 | 
|---|
| 510 |                     return (ERR);
 | 
|---|
| 511 |                 }
 | 
|---|
| 512 |                 oldpc = pc;
 | 
|---|
| 513 |                 if (compile (0) != RPAREN || oldpc == pc) {
 | 
|---|
| 514 |                     (void) sprintf (err_msg, "2nd of 2-arg function arglist error");
 | 
|---|
| 515 |                     return (ERR);
 | 
|---|
| 516 |                 }
 | 
|---|
| 517 |                 *pc++ = tok;
 | 
|---|
| 518 |                 tok = next_token();
 | 
|---|
| 519 |                 expect_binop = 1;
 | 
|---|
| 520 |                 continue;
 | 
|---|
| 521 |             /* constants and variables are just like 0-arg functions w/o ()'s */
 | 
|---|
| 522 |             case CONST:
 | 
|---|
| 523 |             case PITOK:
 | 
|---|
| 524 |             case VAR:
 | 
|---|
| 525 |                 *pc++ = tok;
 | 
|---|
| 526 |                 tok = next_token();
 | 
|---|
| 527 |                 expect_binop = 1;
 | 
|---|
| 528 |                 continue;
 | 
|---|
| 529 |             case LPAREN:
 | 
|---|
| 530 |                 oldpc = pc;
 | 
|---|
| 531 |                 if (compile (0) != RPAREN) {
 | 
|---|
| 532 |                     (void) sprintf (err_msg, "Unmatched left paren");
 | 
|---|
| 533 |                     return (ERR);
 | 
|---|
| 534 |                 }
 | 
|---|
| 535 |                 if (oldpc == pc) {
 | 
|---|
| 536 |                     (void) sprintf (err_msg, "Null expression");
 | 
|---|
| 537 |                     return (ERR);
 | 
|---|
| 538 |                 }
 | 
|---|
| 539 |                 tok = next_token();
 | 
|---|
| 540 |                 expect_binop = 1;
 | 
|---|
| 541 |                 continue;
 | 
|---|
| 542 |             case RPAREN:
 | 
|---|
| 543 |                 return (RPAREN);
 | 
|---|
| 544 |             }
 | 
|---|
| 545 | 
 | 
|---|
| 546 |             /* everything else is a binary operator */
 | 
|---|
| 547 |             if (tok < ADD || tok > LE) {
 | 
|---|
| 548 |                 printf ("Bug! Bogus token: %d\n", tok);
 | 
|---|
| 549 |                 abort();
 | 
|---|
| 550 |             }
 | 
|---|
| 551 |             p = precedence[tok];
 | 
|---|
| 552 |             if (p > prec) {
 | 
|---|
| 553 |                 int newtok;
 | 
|---|
| 554 |                 oldpc = pc;
 | 
|---|
| 555 |                 newtok = compile (p);
 | 
|---|
| 556 |                 if (newtok == ERR)
 | 
|---|
| 557 |                     return (ERR);
 | 
|---|
| 558 |                 if (oldpc == pc) {
 | 
|---|
| 559 |                     (void) strcpy (err_msg, "Term or factor expected");
 | 
|---|
| 560 |                     return (ERR);
 | 
|---|
| 561 |                 }
 | 
|---|
| 562 |                 *pc++ = tok;
 | 
|---|
| 563 |                 expect_binop = 1;
 | 
|---|
| 564 |                 tok = newtok;
 | 
|---|
| 565 |             } else
 | 
|---|
| 566 |                 return (tok);
 | 
|---|
| 567 |         }
 | 
|---|
| 568 | }
 | 
|---|
| 569 | 
 | 
|---|
| 570 | /* "run" the program[] compiled with compile().
 | 
|---|
| 571 |  * if ok, return 0 and the final result,
 | 
|---|
| 572 |  * else return -1 with a reason why not message in err_msg.
 | 
|---|
| 573 |  */
 | 
|---|
| 574 | static int
 | 
|---|
| 575 | execute(result)
 | 
|---|
| 576 | double *result;
 | 
|---|
| 577 | {
 | 
|---|
| 578 |         int instr; 
 | 
|---|
| 579 | 
 | 
|---|
| 580 |         do {
 | 
|---|
| 581 |             instr = *pc++;
 | 
|---|
| 582 |             switch (instr & OP_MASK) {
 | 
|---|
| 583 |             /* put these in numberic order so hopefully even the dumbest
 | 
|---|
| 584 |              * compiler will choose to use a jump table, not a cascade of ifs.
 | 
|---|
| 585 |              */
 | 
|---|
| 586 |             case HALT:  break;  /* outer loop will stop us */
 | 
|---|
| 587 |             case ADD:   sp[1] = sp[1] +  sp[0]; sp++; break;
 | 
|---|
| 588 |             case SUB:   sp[1] = sp[1] -  sp[0]; sp++; break;
 | 
|---|
| 589 |             case MULT:  sp[1] = sp[1] *  sp[0]; sp++; break;
 | 
|---|
| 590 |             case DIV:   sp[1] = sp[1] /  sp[0]; sp++; break;
 | 
|---|
| 591 |             case AND:   sp[1] = sp[1] && sp[0] ? 1 : 0; sp++; break;
 | 
|---|
| 592 |             case OR:    sp[1] = sp[1] || sp[0] ? 1 : 0; sp++; break;
 | 
|---|
| 593 |             case GT:    sp[1] = sp[1] >  sp[0] ? 1 : 0; sp++; break;
 | 
|---|
| 594 |             case GE:    sp[1] = sp[1] >= sp[0] ? 1 : 0; sp++; break;
 | 
|---|
| 595 |             case EQ:    sp[1] = sp[1] == sp[0] ? 1 : 0; sp++; break;
 | 
|---|
| 596 |             case NE:    sp[1] = sp[1] != sp[0] ? 1 : 0; sp++; break;
 | 
|---|
| 597 |             case LT:    sp[1] = sp[1] <  sp[0] ? 1 : 0; sp++; break;
 | 
|---|
| 598 |             case LE:    sp[1] = sp[1] <= sp[0] ? 1 : 0; sp++; break;
 | 
|---|
| 599 |             case NEG:   *sp = -*sp; break;
 | 
|---|
| 600 |             case NOT:   *sp = (double)(*sp==0); break;
 | 
|---|
| 601 |             case CONST: *--sp = consts[instr >> OP_SHIFT]; break;
 | 
|---|
| 602 |             case VAR:   *--sp = vars[instr>>OP_SHIFT].v; break;
 | 
|---|
| 603 |             case PITOK: *--sp = 4.0*atan(1.0); break;
 | 
|---|
| 604 |             case ABS:   *sp = fabs (*sp); break;
 | 
|---|
| 605 |             case FLOOR: *sp = floor (*sp); break;
 | 
|---|
| 606 |             case SIN:   *sp = sin (*sp); break;
 | 
|---|
| 607 |             case COS:   *sp = cos (*sp); break;
 | 
|---|
| 608 |             case TAN:   *sp = tan (*sp); break;
 | 
|---|
| 609 |             case ASIN:  *sp = asin (*sp); break;
 | 
|---|
| 610 |             case ACOS:  *sp = acos (*sp); break;
 | 
|---|
| 611 |             case ATAN:  *sp = atan (*sp); break;
 | 
|---|
| 612 |             case DEGRAD:*sp *= atan(1.0)/45.0; break;
 | 
|---|
| 613 |             case RADDEG:*sp *= 45.0/atan(1.0); break;
 | 
|---|
| 614 |             case LOG:   *sp = log (*sp); break;
 | 
|---|
| 615 |             case LOG10: *sp = log10 (*sp); break;
 | 
|---|
| 616 |             case EXP:   *sp = exp (*sp); break;
 | 
|---|
| 617 |             case SQRT:  *sp = sqrt (*sp); break;
 | 
|---|
| 618 |             case POW:   sp[1] = pow (sp[1], sp[0]); sp++; break;
 | 
|---|
| 619 |             case ATAN2: sp[1] = atan2 (sp[1], sp[0]); sp++; break;
 | 
|---|
| 620 |             default:
 | 
|---|
| 621 |                 (void) sprintf (err_msg, "Bug! bad opcode: 0x%x", instr);
 | 
|---|
| 622 |                 return (-1);
 | 
|---|
| 623 |             }
 | 
|---|
| 624 |             if (sp < stack) {
 | 
|---|
| 625 |                 (void) sprintf (err_msg, "Runtime stack overflow");
 | 
|---|
| 626 |                 return (-1);
 | 
|---|
| 627 |             } else if (sp - stack > MAX_STACK) {
 | 
|---|
| 628 |                 (void) sprintf (err_msg, "Bug! runtime stack underflow");
 | 
|---|
| 629 |                 return (-1);
 | 
|---|
| 630 |             }
 | 
|---|
| 631 |         } while (instr != HALT);
 | 
|---|
| 632 | 
 | 
|---|
| 633 |         /* result should now be on top of stack */
 | 
|---|
| 634 |         if (sp != &stack[MAX_STACK - 1]) {
 | 
|---|
| 635 |             (void) sprintf (err_msg, "Bug! stack has %d items",
 | 
|---|
| 636 |                                                         MAX_STACK - (sp-stack));
 | 
|---|
| 637 |             return (-1);
 | 
|---|
| 638 |         }
 | 
|---|
| 639 |         *result = *sp;
 | 
|---|
| 640 |         return (0);
 | 
|---|
| 641 | }
 | 
|---|
| 642 | 
 | 
|---|
| 643 | /* starting with lcexpr pointing at a string expected to be a field name,
 | 
|---|
| 644 |  * ie, at a '"', fill into up to the next '"' into name[], including trailing 0.
 | 
|---|
| 645 |  * if there IS no '"' within len-1 chars, return -1, else 0.
 | 
|---|
| 646 |  * the only sanity check is the string contains two dots.
 | 
|---|
| 647 |  * when return, leave lcexpr alone but move cexpr to just after the second '"'.
 | 
|---|
| 648 |  */
 | 
|---|
| 649 | static int
 | 
|---|
| 650 | parse_fieldname (name, len)
 | 
|---|
| 651 | char name[];
 | 
|---|
| 652 | int len;
 | 
|---|
| 653 | {
 | 
|---|
| 654 |         char c = '\0';
 | 
|---|
| 655 |         int ndots = 0;
 | 
|---|
| 656 | 
 | 
|---|
| 657 |         cexpr = lcexpr + 1;
 | 
|---|
| 658 |         while (--len > 0 && (c = *cexpr++) != '"' && c) {
 | 
|---|
| 659 |             *name++ = c;
 | 
|---|
| 660 |             ndots += c == '.';
 | 
|---|
| 661 |         }
 | 
|---|
| 662 |         if (len == 0 || c != '"' || ndots != 2)
 | 
|---|
| 663 |             return (-1);
 | 
|---|
| 664 |         *name = '\0';
 | 
|---|
| 665 |         return (0);
 | 
|---|
| 666 | }
 | 
|---|
| 667 | 
 | 
|---|
| 668 | /* For RCS Only -- Do Not Edit */
 | 
|---|
| 669 | static char *rcsid[2] = {(char *)rcsid, "@(#) $RCSfile: compiler.c,v $ $Date: 2005/11/21 21:33:32 $ $Revision: 1.1 $ $Name:  $"};
 | 
|---|