594 lines
15 KiB
C
594 lines
15 KiB
C
/*************************************************************************\
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* Copyright (c) 2008 UChicago Argonne LLC, as Operator of Argonne
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* National Laboratory.
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* Copyright (c) 2002 The Regents of the University of California, as
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* Operator of Los Alamos National Laboratory.
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* EPICS BASE is distributed subject to a Software License Agreement found
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* in file LICENSE that is included with this distribution.
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\*************************************************************************/
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/* $Id$
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*
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* Subroutines used to convert an infix expression to a postfix expression
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*
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* Author: Bob Dalesio
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* Date: 12-12-86
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*/
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#include <stdio.h>
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#include <string.h>
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#include <ctype.h>
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#define epicsExportSharedSymbols
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#include "dbDefs.h"
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#include "epicsStdlib.h"
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#include "epicsString.h"
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#include "postfix.h"
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#include "postfixPvt.h"
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#include "shareLib.h"
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/* declarations for postfix */
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/* element types */
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typedef enum {
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OPERAND,
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LITERAL_OPERAND,
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STORE_OPERATOR,
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UNARY_OPERATOR,
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VARARG_OPERATOR,
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BINARY_OPERATOR,
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SEPERATOR,
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CLOSE_PAREN,
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CONDITIONAL,
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EXPR_TERMINATOR,
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} element_type;
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/* element table
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*
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* structure of an element
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*/
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typedef struct expression_element{
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char *name; /* character representation of an element */
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char in_stack_pri; /* priority on translation stack */
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char in_coming_pri; /* priority in input string */
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signed char runtime_effect; /* stack change, positive means push */
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element_type type; /* element type */
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rpn_opcode code; /* postfix opcode */
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} ELEMENT;
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/*
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* NOTE: Keep these lists sorted. Elements are searched in reverse order,
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* and where two names start with the same substring we must pick out the
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* longest name first (hence the sort requirement).
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* NOTE: All VARARG_OPERATORs have to be made known to the calcExprDump()
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* routine at the end of this file.
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*/
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static const ELEMENT operands[] = {
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/* name prio's stack element type opcode */
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{"!", 7, 8, 0, UNARY_OPERATOR, REL_NOT},
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{"(", 0, 8, 0, UNARY_OPERATOR, NOT_GENERATED},
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{"-", 7, 8, 0, UNARY_OPERATOR, UNARY_NEG},
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{".", 0, 0, 1, LITERAL_OPERAND,LITERAL},
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{"0", 0, 0, 1, LITERAL_OPERAND,LITERAL},
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{"1", 0, 0, 1, LITERAL_OPERAND,LITERAL},
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{"2", 0, 0, 1, LITERAL_OPERAND,LITERAL},
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{"3", 0, 0, 1, LITERAL_OPERAND,LITERAL},
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{"4", 0, 0, 1, LITERAL_OPERAND,LITERAL},
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{"5", 0, 0, 1, LITERAL_OPERAND,LITERAL},
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{"6", 0, 0, 1, LITERAL_OPERAND,LITERAL},
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{"7", 0, 0, 1, LITERAL_OPERAND,LITERAL},
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{"8", 0, 0, 1, LITERAL_OPERAND,LITERAL},
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{"9", 0, 0, 1, LITERAL_OPERAND,LITERAL},
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{"A", 0, 0, 1, OPERAND, FETCH_A},
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{"ABS", 7, 8, 0, UNARY_OPERATOR, ABS_VAL},
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{"ACOS", 7, 8, 0, UNARY_OPERATOR, ACOS},
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{"ASIN", 7, 8, 0, UNARY_OPERATOR, ASIN},
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{"ATAN", 7, 8, 0, UNARY_OPERATOR, ATAN},
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{"ATAN2", 7, 8, -1, UNARY_OPERATOR, ATAN2},
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{"B", 0, 0, 1, OPERAND, FETCH_B},
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{"C", 0, 0, 1, OPERAND, FETCH_C},
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{"CEIL", 7, 8, 0, UNARY_OPERATOR, CEIL},
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{"COS", 7, 8, 0, UNARY_OPERATOR, COS},
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{"COSH", 7, 8, 0, UNARY_OPERATOR, COSH},
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{"D", 0, 0, 1, OPERAND, FETCH_D},
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{"D2R", 0, 0, 1, OPERAND, CONST_D2R},
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{"E", 0, 0, 1, OPERAND, FETCH_E},
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{"EXP", 7, 8, 0, UNARY_OPERATOR, EXP},
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{"F", 0, 0, 1, OPERAND, FETCH_F},
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{"FINITE", 7, 8, 0, VARARG_OPERATOR,FINITE},
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{"FLOOR", 7, 8, 0, UNARY_OPERATOR, FLOOR},
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{"G", 0, 0, 1, OPERAND, FETCH_G},
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{"H", 0, 0, 1, OPERAND, FETCH_H},
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{"I", 0, 0, 1, OPERAND, FETCH_I},
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{"INF", 0, 0, 1, LITERAL_OPERAND,LITERAL},
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{"ISINF", 7, 8, 0, UNARY_OPERATOR, ISINF},
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{"ISNAN", 7, 8, 0, VARARG_OPERATOR,ISNAN},
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{"J", 0, 0, 1, OPERAND, FETCH_J},
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{"K", 0, 0, 1, OPERAND, FETCH_K},
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{"L", 0, 0, 1, OPERAND, FETCH_L},
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{"LN", 7, 8, 0, UNARY_OPERATOR, LOG_E},
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{"LOG", 7, 8, 0, UNARY_OPERATOR, LOG_10},
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{"LOGE", 7, 8, 0, UNARY_OPERATOR, LOG_E},
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{"MAX", 7, 8, 0, VARARG_OPERATOR,MAX},
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{"MIN", 7, 8, 0, VARARG_OPERATOR,MIN},
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{"NINT", 7, 8, 0, UNARY_OPERATOR, NINT},
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{"NAN", 0, 0, 1, LITERAL_OPERAND,LITERAL},
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{"NOT", 7, 8, 0, UNARY_OPERATOR, BIT_NOT},
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{"PI", 0, 0, 1, OPERAND, CONST_PI},
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{"R2D", 0, 0, 1, OPERAND, CONST_R2D},
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{"RNDM", 0, 0, 1, OPERAND, RANDOM},
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{"SIN", 7, 8, 0, UNARY_OPERATOR, SIN},
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{"SINH", 7, 8, 0, UNARY_OPERATOR, SINH},
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{"SQR", 7, 8, 0, UNARY_OPERATOR, SQU_RT},
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{"SQRT", 7, 8, 0, UNARY_OPERATOR, SQU_RT},
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{"TAN", 7, 8, 0, UNARY_OPERATOR, TAN},
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{"TANH", 7, 8, 0, UNARY_OPERATOR, TANH},
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{"VAL", 0, 0, 1, OPERAND, FETCH_VAL},
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{"~", 7, 8, 0, UNARY_OPERATOR, BIT_NOT},
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};
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static const ELEMENT operators[] = {
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/* name prio's stack element type opcode */
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{"!=", 3, 3, -1, BINARY_OPERATOR,NOT_EQ},
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{"#", 3, 3, -1, BINARY_OPERATOR,NOT_EQ},
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{"%", 5, 5, -1, BINARY_OPERATOR,MODULO},
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{"&", 2, 2, -1, BINARY_OPERATOR,BIT_AND},
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{"&&", 2, 2, -1, BINARY_OPERATOR,REL_AND},
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{")", 0, 0, 0, CLOSE_PAREN, NOT_GENERATED},
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{"*", 5, 5, -1, BINARY_OPERATOR,MULT},
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{"**", 6, 6, -1, BINARY_OPERATOR,POWER},
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{"+", 4, 4, -1, BINARY_OPERATOR,ADD},
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{",", 0, 0, 0, SEPERATOR, NOT_GENERATED},
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{"-", 4, 4, -1, BINARY_OPERATOR,SUB},
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{"/", 5, 5, -1, BINARY_OPERATOR,DIV},
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{":", 0, 0, -1, CONDITIONAL, COND_ELSE},
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{":=", 0, 0, -1, STORE_OPERATOR, STORE_A},
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{";", 0, 0, 0, EXPR_TERMINATOR,NOT_GENERATED},
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{"<", 3, 3, -1, BINARY_OPERATOR,LESS_THAN},
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{"<<", 2, 2, -1, BINARY_OPERATOR,LEFT_SHIFT},
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{"<=", 3, 3, -1, BINARY_OPERATOR,LESS_OR_EQ},
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{"=", 3, 3, -1, BINARY_OPERATOR,EQUAL},
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{"==", 3, 3, -1, BINARY_OPERATOR,EQUAL},
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{">", 3, 3, -1, BINARY_OPERATOR,GR_THAN},
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{">=", 3, 3, -1, BINARY_OPERATOR,GR_OR_EQ},
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{">>", 2, 2, -1, BINARY_OPERATOR,RIGHT_SHIFT},
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{"?", 0, 0, -1, CONDITIONAL, COND_IF},
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{"AND", 2, 2, -1, BINARY_OPERATOR,BIT_AND},
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{"OR", 1, 1, -1, BINARY_OPERATOR,BIT_OR},
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{"XOR", 1, 1, -1, BINARY_OPERATOR,BIT_EXCL_OR},
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{"^", 6, 6, -1, BINARY_OPERATOR,POWER},
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{"|", 1, 1, -1, BINARY_OPERATOR,BIT_OR},
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{"||", 1, 1, -1, BINARY_OPERATOR,REL_OR},
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};
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/* get_element
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*
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* find the next expression element in the infix expression
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*/
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static int
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get_element(int opnd, const char **ppsrc, const ELEMENT **ppel)
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{
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const ELEMENT *ptable, *pel;
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*ppel = NULL;
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while (isspace((int) (unsigned char) **ppsrc)) ++*ppsrc;
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if (**ppsrc == '\0') return FALSE;
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if (opnd) {
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ptable = operands;
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pel = ptable + NELEMENTS(operands) - 1;
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} else {
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ptable = operators;
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pel = ptable + NELEMENTS(operators) - 1;
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}
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while (pel >= ptable) {
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int len = strlen(pel->name);
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if (epicsStrnCaseCmp(*ppsrc, pel->name, len) == 0) {
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*ppel = pel;
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*ppsrc += len;
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return TRUE;
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}
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--pel;
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}
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return FALSE;
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}
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/* postfix
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*
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* convert an infix expression to a postfix expression
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*/
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epicsShareFunc long
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postfix(const char *psrc, char * const ppostfix, short *perror)
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{
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ELEMENT stack[80];
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ELEMENT *pstacktop = stack;
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const ELEMENT *pel;
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int operand_needed = TRUE;
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int runtime_depth = 0;
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int cond_count = 0;
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char *pout = ppostfix;
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char *pnext;
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double constant;
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if (psrc == NULL || *psrc == '\0' ||
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pout == NULL || perror == NULL) {
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if (perror) *perror = CALC_ERR_NULL_ARG;
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if (pout) *pout = END_EXPRESSION;
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return -1;
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}
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/* place the expression elements into postfix */
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*pout = END_EXPRESSION;
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*perror = CALC_ERR_NONE;
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while (get_element(operand_needed, &psrc, &pel)) {
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switch (pel->type) {
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case OPERAND:
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*pout++ = pel->code;
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runtime_depth += pel->runtime_effect;
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operand_needed = FALSE;
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break;
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case LITERAL_OPERAND:
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*pout++ = pel->code;
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runtime_depth += pel->runtime_effect;
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psrc -= strlen(pel->name);
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constant = epicsStrtod(psrc, &pnext);
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if (pnext == psrc) {
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*perror = CALC_ERR_BAD_LITERAL;
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goto bad;
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}
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psrc = pnext;
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memcpy(pout, (void *)&constant, sizeof(double));
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pout += sizeof(double);
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operand_needed = FALSE;
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break;
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case STORE_OPERATOR:
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if (pout == ppostfix || pstacktop > stack ||
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*--pout < FETCH_A || *pout > FETCH_L) {
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*perror = CALC_ERR_BAD_ASSIGNMENT;
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goto bad;
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}
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/* Convert fetch into a store on the stack */
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*++pstacktop = *pel;
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pstacktop->code = STORE_A + *pout - FETCH_A;
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runtime_depth -= 1;
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operand_needed = TRUE;
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break;
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case UNARY_OPERATOR:
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case VARARG_OPERATOR:
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/* Move operators of >= priority to the output */
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while ((pstacktop > stack) &&
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(pstacktop->in_stack_pri >= pel->in_coming_pri)) {
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*pout++ = pstacktop->code;
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if (pstacktop->type == VARARG_OPERATOR) {
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*pout++ = 1 - pstacktop->runtime_effect;
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}
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runtime_depth += pstacktop->runtime_effect;
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pstacktop--;
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}
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/* Push new operator onto stack */
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pstacktop++;
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*pstacktop = *pel;
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break;
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case BINARY_OPERATOR:
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/* Move operators of >= priority to the output */
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while ((pstacktop > stack) &&
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(pstacktop->in_stack_pri >= pel->in_coming_pri)) {
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*pout++ = pstacktop->code;
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if (pstacktop->type == VARARG_OPERATOR) {
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*pout++ = 1 - pstacktop->runtime_effect;
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}
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runtime_depth += pstacktop->runtime_effect;
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pstacktop--;
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}
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/* Push new operator onto stack */
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pstacktop++;
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*pstacktop = *pel;
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operand_needed = TRUE;
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break;
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case SEPERATOR:
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/* Move operators to the output until open paren */
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while (pstacktop->name[0] != '(') {
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if (pstacktop <= stack+1) {
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*perror = CALC_ERR_BAD_SEPERATOR;
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goto bad;
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}
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*pout++ = pstacktop->code;
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if (pstacktop->type == VARARG_OPERATOR) {
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*pout++ = 1 - pstacktop->runtime_effect;
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}
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runtime_depth += pstacktop->runtime_effect;
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pstacktop--;
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}
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operand_needed = TRUE;
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pstacktop->runtime_effect -= 1;
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break;
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case CLOSE_PAREN:
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/* Move operators to the output until matching paren */
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while (pstacktop->name[0] != '(') {
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if (pstacktop <= stack+1) {
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*perror = CALC_ERR_PAREN_NOT_OPEN;
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goto bad;
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}
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*pout++ = pstacktop->code;
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if (pstacktop->type == VARARG_OPERATOR) {
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*pout++ = 1 - pstacktop->runtime_effect;
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}
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runtime_depth += pstacktop->runtime_effect;
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pstacktop--;
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}
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pstacktop--; /* remove ( from stack */
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/* if there is a vararg operator before the opening paren,
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it inherits the (opening) paren's stack effect */
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if (pstacktop->type == VARARG_OPERATOR) {
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pstacktop->runtime_effect = (pstacktop+1)->runtime_effect;
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/* check for no arguments */
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if (pstacktop->runtime_effect > 0) {
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*perror = CALC_ERR_INCOMPLETE;
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goto bad;
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}
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}
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break;
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case CONDITIONAL:
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/* Move operators of > priority to the output */
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while ((pstacktop > stack) &&
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(pstacktop->in_stack_pri > pel->in_coming_pri)) {
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*pout++ = pstacktop->code;
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if (pstacktop->type == VARARG_OPERATOR) {
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*pout++ = 1 - pstacktop->runtime_effect;
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}
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runtime_depth += pstacktop->runtime_effect;
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pstacktop--;
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}
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/* Add new element to the output */
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*pout++ = pel->code;
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runtime_depth += pel->runtime_effect;
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/* For : operator, also push COND_END code to stack */
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if (pel->name[0] == ':') {
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if (--cond_count < 0) {
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*perror = CALC_ERR_CONDITIONAL;
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goto bad;
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}
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pstacktop++;
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*pstacktop = *pel;
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pstacktop->code = COND_END;
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pstacktop->runtime_effect = 0;
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} else {
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cond_count++;
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}
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operand_needed = TRUE;
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break;
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case EXPR_TERMINATOR:
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/* Move everything from stack to the output */
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while (pstacktop > stack) {
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if (pstacktop->name[0] == '(') {
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*perror = CALC_ERR_PAREN_OPEN;
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goto bad;
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}
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*pout++ = pstacktop->code;
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if (pstacktop->type == VARARG_OPERATOR) {
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*pout++ = 1 - pstacktop->runtime_effect;
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}
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runtime_depth += pstacktop->runtime_effect;
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pstacktop--;
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}
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if (cond_count != 0) {
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*perror = CALC_ERR_CONDITIONAL;
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goto bad;
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}
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if (runtime_depth > 1) {
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*perror = CALC_ERR_TOOMANY;
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goto bad;
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}
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operand_needed = TRUE;
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break;
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default:
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*perror = CALC_ERR_INTERNAL;
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goto bad;
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}
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if (runtime_depth < 0) {
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*perror = CALC_ERR_UNDERFLOW;
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goto bad;
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}
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if (runtime_depth >= CALCPERFORM_STACK) {
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*perror = CALC_ERR_OVERFLOW;
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goto bad;
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}
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}
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if (*psrc != '\0') {
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*perror = CALC_ERR_SYNTAX;
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goto bad;
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}
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/* Move everything from stack to the output */
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while (pstacktop > stack) {
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if (pstacktop->name[0] == '(') {
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*perror = CALC_ERR_PAREN_OPEN;
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goto bad;
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}
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*pout++ = pstacktop->code;
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if (pstacktop->type == VARARG_OPERATOR) {
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*pout++ = 1 - pstacktop->runtime_effect;
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}
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runtime_depth += pstacktop->runtime_effect;
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pstacktop--;
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}
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*pout = END_EXPRESSION;
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if (cond_count != 0) {
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*perror = CALC_ERR_CONDITIONAL;
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goto bad;
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}
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if (operand_needed || runtime_depth != 1) {
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*perror = CALC_ERR_INCOMPLETE;
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goto bad;
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}
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return 0;
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bad:
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*ppostfix = END_EXPRESSION;
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return -1;
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}
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/* calcErrorStr
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*
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* Return a message string appropriate for the given error code
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*/
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epicsShareFunc const char *
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calcErrorStr(short error)
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{
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static const char *errStrs[] = {
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"No error",
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"Too many results returned",
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"Badly formed numeric literal",
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"Bad assignment target",
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"Comma without enclosing parentheses",
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"Close parenthesis found without open",
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"Parenthesis still open at end of expression",
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"Unbalanced conditional ?: operators",
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"Incomplete expression, operand missing",
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|
"Not enough operands provided",
|
|
"Runtime stack overflow",
|
|
"Syntax error, unknown operator/operand",
|
|
"NULL or empty input argument to postfix()",
|
|
"Internal error, unknown element type",
|
|
};
|
|
|
|
if (error < CALC_ERR_NONE || error > CALC_ERR_INTERNAL)
|
|
return NULL;
|
|
return errStrs[error];
|
|
}
|
|
|
|
|
|
/* calcExprDump
|
|
*
|
|
* Disassemble the given postfix instructions to stdout
|
|
*/
|
|
epicsShareFunc void
|
|
calcExprDump(const char *pinst)
|
|
{
|
|
static const char *opcodes[] = {
|
|
"End Expression",
|
|
/* Operands */
|
|
"LITERAL", "VAL",
|
|
"FETCH_A", "FETCH_B", "FETCH_C", "FETCH_D", "FETCH_E", "FETCH_F",
|
|
"FETCH_G", "FETCH_H", "FETCH_I", "FETCH_J", "FETCH_K", "FETCH_L",
|
|
/* Assignment */
|
|
"STORE_A", "STORE_B", "STORE_C", "STORE_D", "STORE_E", "STORE_F",
|
|
"STORE_G", "STORE_H", "STORE_I", "STORE_J", "STORE_K", "STORE_L",
|
|
/* Trigonometry Constants */
|
|
"CONST_PI",
|
|
"CONST_D2R",
|
|
"CONST_R2D",
|
|
/* Arithmetic */
|
|
"UNARY_NEG",
|
|
"ADD",
|
|
"SUB",
|
|
"MULT",
|
|
"DIV",
|
|
"MODULO",
|
|
"POWER",
|
|
/* Algebraic */
|
|
"ABS_VAL",
|
|
"EXP",
|
|
"LOG_10",
|
|
"LOG_E",
|
|
"MAX",
|
|
"MIN",
|
|
"SQU_RT",
|
|
/* Trigonometric */
|
|
"ACOS",
|
|
"ASIN",
|
|
"ATAN",
|
|
"ATAN2",
|
|
"COS",
|
|
"COSH",
|
|
"SIN",
|
|
"SINH",
|
|
"TAN",
|
|
"TANH",
|
|
/* Numeric */
|
|
"CEIL",
|
|
"FLOOR",
|
|
"FINITE",
|
|
"ISINF",
|
|
"ISNAN",
|
|
"NINT",
|
|
"RANDOM",
|
|
/* Boolean */
|
|
"REL_OR",
|
|
"REL_AND",
|
|
"REL_NOT",
|
|
/* Bitwise */
|
|
"BIT_OR",
|
|
"BIT_AND",
|
|
"BIT_EXCL_OR",
|
|
"BIT_NOT",
|
|
"RIGHT_SHIFT",
|
|
"LEFT_SHIFT",
|
|
/* Relationals */
|
|
"NOT_EQ",
|
|
"LESS_THAN",
|
|
"LESS_OR_EQ",
|
|
"EQUAL",
|
|
"GR_OR_EQ",
|
|
"GR_THAN",
|
|
/* Conditional */
|
|
"COND_IF",
|
|
"COND_ELSE",
|
|
"COND_END",
|
|
/* Misc */
|
|
"NOT_GENERATED"
|
|
};
|
|
char op;
|
|
double lit;
|
|
|
|
while ((op = *pinst) != END_EXPRESSION) {
|
|
switch (op) {
|
|
case LITERAL:
|
|
memcpy((void *)&lit, ++pinst, sizeof(double));
|
|
printf("\tLiteral: %g\n", lit);
|
|
pinst += sizeof(double);
|
|
break;
|
|
case MIN:
|
|
case MAX:
|
|
case FINITE:
|
|
case ISNAN:
|
|
printf("\t%s, %d arg(s)\n", opcodes[(int) op], *++pinst);
|
|
pinst++;
|
|
break;
|
|
default:
|
|
printf("\t%s\n", opcodes[(int) op]);
|
|
pinst++;
|
|
}
|
|
}
|
|
}
|