/* * hash_number - hash a NUMBER * * given: * type - hash type (see hash.h) * n - the NUMBER * state - the state to hash or NULL * * returns: * the new state */ HASH * hash_number(int type, void *n, HASH *state) { NUMBER *number = (NUMBER *)n; /* n as a NUMBER pointer */ BOOL sign; /* sign of the denominator */ /* * initialize if state is NULL */ if (state == NULL) { state = hash_init(type, NULL); } /* * setup for the NUMBER hash */ (state->chkpt)(state); state->bytes = FALSE; /* * process the numerator */ state = hash_zvalue(type, number->num, state); /* * if the NUMBER is not an integer, process the denominator */ if (qisfrac(number)) { /* note the division */ (state->note)(HASH_DIV(state->base), state); /* hash denominator as positive -- just in case */ sign = number->den.sign; number->den.sign = 0; /* hash the denominator */ state = hash_zvalue(type, number->den, state); /* restore the sign */ number->den.sign = sign; } /* * all done */ return state; }
/* * Raise an object to an integral power. * This is the default routine if the user's is not defined. * Negative powers mean the positive power of the inverse. * Zero means the multiplicative identity. * * given: * vp value to be powered * q power to raise number to */ S_FUNC VALUE objpowi(VALUE *vp, NUMBER *q) { VALUE res, tmp; long power; /* power to raise to */ FULL bit; /* current bit value */ if (qisfrac(q)) { math_error("Raising object to non-integral power"); /*NOTREACHED*/ } if (zge31b(q->num)) { math_error("Raising object to very large power"); /*NOTREACHED*/ } power = ztolong(q->num); if (qisneg(q)) power = -power; /* * Handle some low powers specially */ if ((power <= 2) && (power >= -2)) { switch ((int) power) { case 0: return objcall(OBJ_ONE, vp, NULL_VALUE, NULL_VALUE); case 1: res.v_obj = objcopy(vp->v_obj); res.v_type = V_OBJ; res.v_subtype = V_NOSUBTYPE; return res; case -1: return objcall(OBJ_INV, vp, NULL_VALUE, NULL_VALUE); case 2: return objcall(OBJ_SQUARE, vp, NULL_VALUE, NULL_VALUE); } } if (power < 0) power = -power; /* * Compute the power by squaring and multiplying. * This uses the left to right method of power raising. */ bit = TOPFULL; while ((bit & power) == 0) bit >>= 1L; bit >>= 1L; res = objcall(OBJ_SQUARE, vp, NULL_VALUE, NULL_VALUE); if (bit & power) { tmp = objcall(OBJ_MUL, &res, vp, NULL_VALUE); objfree(res.v_obj); res = tmp; } bit >>= 1L; while (bit) { tmp = objcall(OBJ_SQUARE, &res, NULL_VALUE, NULL_VALUE); objfree(res.v_obj); res = tmp; if (bit & power) { tmp = objcall(OBJ_MUL, &res, vp, NULL_VALUE); objfree(res.v_obj); res = tmp; } bit >>= 1L; } if (qisneg(q)) { tmp = objcall(OBJ_INV, &res, NULL_VALUE, NULL_VALUE); objfree(res.v_obj); return tmp; } return res; }
/* * Add an opcode to the current function being compiled. * Note: This can change the curfunc global variable when the * function needs expanding. */ void addop(long op) { register FUNC *fp; /* current function */ NUMBER *q, *q1, *q2; unsigned long count; BOOL cut; int diff; fp = curfunc; count = fp->f_opcodecount; cut = TRUE; diff = 2; q = NULL; if ((count + 5) >= maxopcodes) { maxopcodes += OPCODEALLOCSIZE; fp = (FUNC *) malloc(funcsize(maxopcodes)); if (fp == NULL) { math_error("cannot malloc function"); /*NOTREACHED*/ } memcpy((char *) fp, (char *) curfunc, funcsize(curfunc->f_opcodecount)); if (curfunc != functemplate) free(curfunc); curfunc = fp; } /* * Check the current opcode against the previous opcode and try to * slightly optimize the code depending on the various combinations. */ switch (op) { case OP_GETVALUE: switch (oldop) { case OP_NUMBER: case OP_ZERO: case OP_ONE: case OP_IMAGINARY: case OP_GETEPSILON: case OP_SETEPSILON: case OP_STRING: case OP_UNDEF: case OP_GETCONFIG: case OP_SETCONFIG: return; case OP_DUPLICATE: diff = 1; oldop = OP_DUPVALUE; break; case OP_FIADDR: diff = 1; oldop = OP_FIVALUE; break; case OP_GLOBALADDR: diff = 1 + PTR_SIZE; oldop = OP_GLOBALVALUE; break; case OP_LOCALADDR: oldop = OP_LOCALVALUE; break; case OP_PARAMADDR: oldop = OP_PARAMVALUE; break; case OP_ELEMADDR: oldop = OP_ELEMVALUE; break; default: cut = FALSE; } if (cut) { fp->f_opcodes[count - diff] = oldop; return; } break; case OP_POP: switch (oldop) { case OP_ASSIGN: fp->f_opcodes[count-1] = OP_ASSIGNPOP; oldop = OP_ASSIGNPOP; return; case OP_NUMBER: case OP_IMAGINARY: q = constvalue(fp->f_opcodes[count-1]); qfree(q); break; case OP_STRING: sfree(findstring((long)fp->f_opcodes[count-1])); break; case OP_LOCALADDR: case OP_PARAMADDR: break; case OP_GLOBALADDR: diff = 1 + PTR_SIZE; break; case OP_UNDEF: fp->f_opcodecount -= 1; oldop = OP_NOP; oldoldop = OP_NOP; return; default: cut = FALSE; } if (cut) { fp->f_opcodecount -= diff; oldop = OP_NOP; oldoldop = OP_NOP; fprintf(stderr, "Line %ld: unused value ignored\n", linenumber()); return; } break; case OP_NEGATE: if (oldop == OP_NUMBER) { q = constvalue(fp->f_opcodes[count-1]); fp->f_opcodes[count-1] = addqconstant(qneg(q)); qfree(q); return; } } if (oldop == OP_NUMBER) { if (oldoldop == OP_NUMBER) { q1 = constvalue(fp->f_opcodes[count - 3]); q2 = constvalue(fp->f_opcodes[count - 1]); switch (op) { case OP_DIV: if (qiszero(q2)) { cut = FALSE; break; } q = qqdiv(q1,q2); break; case OP_MUL: q = qmul(q1,q2); break; case OP_ADD: q = qqadd(q1,q2); break; case OP_SUB: q = qsub(q1,q2); break; case OP_POWER: if (qisfrac(q2) || qisneg(q2)) cut = FALSE; else q = qpowi(q1,q2); break; default: cut = FALSE; } if (cut) { qfree(q1); qfree(q2); fp->f_opcodes[count - 3] = addqconstant(q); fp->f_opcodecount -= 2; oldoldop = OP_NOP; return; } } else if (op != OP_NUMBER) { q = constvalue(fp->f_opcodes[count - 1]); if (op == OP_POWER) { if (qcmpi(q, 2L) == 0) { fp->f_opcodecount--; fp->f_opcodes[count - 2] = OP_SQUARE; qfree(q); oldop = OP_SQUARE; return; } if (qcmpi(q, 4L) == 0) { fp->f_opcodes[count - 2] = OP_SQUARE; fp->f_opcodes[count - 1] = OP_SQUARE; qfree(q); oldop = OP_SQUARE; return; } } if (qiszero(q)) { qfree(q); fp->f_opcodes[count - 2] = OP_ZERO; fp->f_opcodecount--; } else if (qisone(q)) { qfree(q); fp->f_opcodes[count - 2] = OP_ONE; fp->f_opcodecount--; } } } /* * No optimization possible, so store the opcode. */ fp->f_opcodes[fp->f_opcodecount] = op; fp->f_opcodecount++; oldoldop = oldop; oldop = op; }
/* * Call the appropriate user-defined routine to handle an object action. * Returns the value that the routine returned. */ VALUE objcall(int action, VALUE *v1, VALUE *v2, VALUE *v3) { FUNC *fp; /* function to call */ STATIC OBJECTACTIONS *oap; /* object to call for */ struct objectinfo *oip; /* information about action */ long index; /* index of function (negative if undefined) */ VALUE val; /* return value */ VALUE tmp; /* temp value */ char name[SYMBOLSIZE+1+1]; /* full name of user routine to call */ size_t namestr_len; /* length of the namestr() return string */ char *namestr_ret; /* namestr() return string */ size_t opi_name_len; /* length of the oip name */ /* initialize VALUEs */ val.v_subtype = V_NOSUBTYPE; tmp.v_subtype = V_NOSUBTYPE; if ((unsigned)action > OBJ_MAXFUNC) { math_error("Illegal action for object call"); /*NOTREACHED*/ } oip = &objectinfo[action]; if (v1->v_type == V_OBJ) { oap = v1->v_obj->o_actions; } else if (v2->v_type == V_OBJ) { oap = v2->v_obj->o_actions; } else { math_error("Object routine called with non-object"); /*NOTREACHED*/ } index = oap->oa_indices[action]; if (index < 0) { namestr_ret = namestr(&objectnames, oap->oa_index); if (namestr_ret == NULL) { math_error("namestr returned NULL!!!"); /*NOTREACHED*/ } namestr_len = strlen(namestr_ret); opi_name_len = strlen(oip->name); if (namestr_len > (size_t)SYMBOLSIZE-1-opi_name_len) { math_error("namestr returned a strong too long!!!"); /*NOTREACHED*/ } name[0] = '\0'; strncpy(name, namestr_ret, namestr_len+1); strcat(name, "_"); strncat(name, oip->name, opi_name_len+1); index = adduserfunc(name); oap->oa_indices[action] = index; } fp = NULL; if (index >= 0) fp = findfunc(index); if (fp == NULL) { switch (oip->error) { case ERR_PRINT: objprint(v1->v_obj); val.v_type = V_NULL; break; case ERR_CMP: val.v_type = V_INT; if (v1->v_type != v2->v_type) { val.v_int = 1; return val; } val.v_int = objcmp(v1->v_obj, v2->v_obj); break; case ERR_TEST: val.v_type = V_INT; val.v_int = objtest(v1->v_obj); break; case ERR_POW: if (v2->v_type != V_NUM) { math_error("Non-real power"); /*NOTREACHED*/ } val = objpowi(v1, v2->v_num); break; case ERR_ONE: val.v_type = V_NUM; val.v_num = qlink(&_qone_); break; case ERR_INC: tmp.v_type = V_NUM; tmp.v_num = &_qone_; val = objcall(OBJ_ADD, v1, &tmp, NULL_VALUE); break; case ERR_DEC: tmp.v_type = V_NUM; tmp.v_num = &_qone_; val = objcall(OBJ_SUB, v1, &tmp, NULL_VALUE); break; case ERR_SQUARE: val = objcall(OBJ_MUL, v1, v1, NULL_VALUE); break; case ERR_VALUE: copyvalue(v1, &val); break; case ERR_ASSIGN: copyvalue(v2, &tmp); tmp.v_subtype |= v1->v_subtype; freevalue(v1); *v1 = tmp; val.v_type = V_NULL; break; default: math_error("Function \"%s\" is undefined", namefunc(index)); /*NOTREACHED*/ } return val; } switch (oip->args) { case 0: break; case 1: ++stack; stack->v_addr = v1; stack->v_type = V_ADDR; break; case 2: ++stack; stack->v_addr = v1; stack->v_type = V_ADDR; ++stack; stack->v_addr = v2; stack->v_type = V_ADDR; break; case 3: ++stack; stack->v_addr = v1; stack->v_type = V_ADDR; ++stack; stack->v_addr = v2; stack->v_type = V_ADDR; ++stack; stack->v_addr = v3; stack->v_type = V_ADDR; break; default: math_error("Bad number of args to calculate"); /*NOTREACHED*/ } calculate(fp, oip->args); switch (oip->retval) { case A_VALUE: return *stack--; case A_UNDEF: freevalue(stack--); val.v_type = V_NULL; break; case A_INT: if ((stack->v_type != V_NUM) || qisfrac(stack->v_num)) { math_error("Integer return value required"); /*NOTREACHED*/ } index = qtoi(stack->v_num); qfree(stack->v_num); stack--; val.v_type = V_INT; val.v_int = index; break; default: math_error("Bad object return"); /*NOTREACHED*/ } return val; }