/** @file parser.cpp * * Implementation of GiNaC's parser. */ /* * GiNaC Copyright (C) 1999-2010 Johannes Gutenberg University Mainz, Germany * * This program is free software; you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation; either version 2 of the License, or * (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program; if not, write to the Free Software * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA */ #include "parser.h" #include "lexer.h" #include "debug.h" #include "mul.h" #include "constant.h" #include "function.h" #ifdef HAVE_CONFIG_H #include "config.h" #endif #ifdef HAVE_STDINT_H #include // for uintptr_t #endif #include #include namespace GiNaC { // // Find out if ptr is a pointer to a function or a specially crafted integer. // It's possible to distinguish between these because functions are aligned. // Returns true if ptr is a pointer and false otherwise. static bool decode_serial(unsigned& serial, const reader_func ptr) { uintptr_t u = (uintptr_t)(void *)ptr; if (u & 1) { u >>= 1; serial = (unsigned)u; return false; } return true; } // Figures out if ptr is a pointer to function or a serial of GiNaC function. // In the former case calls that function, in the latter case constructs // GiNaC function with corresponding serial and arguments. static ex dispatch_reader_fcn(const reader_func ptr, const exvector& args) { unsigned serial = 0; // dear gcc, could you please shut up? bool is_ptr = decode_serial(serial, ptr); if (is_ptr) return ptr(args); else return function(serial, args); } // /// identifier_expr: identifier | identifier '(' expression* ')' ex parser::parse_identifier_expr() { std::string name = scanner->str; get_next_tok(); // eat identifier. if (token != '(') // symbol return find_or_insert_symbol(name, syms, strict); // function/ctor call. get_next_tok(); // eat ( exvector args; if (token != ')') { while (true) { ex e = parse_expression(); args.push_back(e); if (token == ')') break; if (token != ',') Parse_error("expected ')' or ',' in argument list"); get_next_tok(); } } // Eat the ')'. get_next_tok(); prototype the_prototype = make_pair(name, args.size()); prototype_table::const_iterator reader = funcs.find(the_prototype); if (reader == funcs.end()) { Parse_error_("no function \"" << name << "\" with " << args.size() << " arguments"); } // reader->second might be a pointer to a C++ function or a specially // crafted serial of a GiNaC::function. ex ret = dispatch_reader_fcn(reader->second, args); return ret; } /// paren_expr: '(' expression ')' ex parser::parse_paren_expr() { get_next_tok(); // eat (. ex e = parse_expression(); if (token != ')') Parse_error("expected ')'"); get_next_tok(); // eat ). return e; } extern numeric* _num_1_p; extern ex _ex0; /// unary_expr: [+-] expression ex parser::parse_unary_expr() { // Unlike most other parse_* method this one does NOT consume // current token so parse_binop_rhs() knows what kind of operator // is being parsed. // There are different kinds of expressions which need to be handled: // -a+b // -(a) // +a // +(a) // Delegete the work to parse_binop_rhs(), otherwise we end up // duplicating it here. ex lhs = _ex0; // silly trick ex e = parse_binop_rhs(0, lhs); return e; } /// primary: identifier_expr | number_expr | paren_expr | unary_expr ex parser::parse_primary() { switch (token) { case lexer::token_type::identifier: return parse_identifier_expr(); case lexer::token_type::number: return parse_number_expr(); case '(': return parse_paren_expr(); case '-': case '+': return parse_unary_expr(); case lexer::token_type::literal: return parse_literal_expr(); case lexer::token_type::eof: default: Parse_error("unexpected token"); } } /// expression ::= primary binoprhs ex parser::parse_expression() { ex lhs = parse_primary(); ex res = parse_binop_rhs(0, lhs); return res; } /// number_expr: number ex parser::parse_number_expr() { ex n = numeric(scanner->str.c_str()); get_next_tok(); // consume the number return n; } /// literal_expr: 'I' | 'Pi' | 'Euler' | 'Catalan' ex parser::parse_literal_expr() { get_next_tok(); // consume the literal if (scanner->str == "I") return I; else if (scanner->str == "Pi") return Pi; else if (scanner->str == "Euler") return Euler; else if (scanner->str == "Catalan") return Catalan; bug("unknown literal: \"" << scanner->str << "\""); } ex parser::operator()(std::istream& input) { scanner->switch_input(&input); get_next_tok(); ex ret = parse_expression(); // parse_expression() stops if it encounters an unknown token. // This is not a bug: since the parser is recursive checking // whether the next token is valid is responsibility of the caller. // Hence make sure nothing is left in the stream: if (token != lexer::token_type::eof) Parse_error("expected EOF"); return ret; } ex parser::operator()(const std::string& input) { std::istringstream is(input); ex ret = operator()(is); return ret; } int parser::get_next_tok() { token = scanner->gettok(); return token; } parser::parser(const symtab& syms_, const bool strict_, const prototype_table& funcs_) : strict(strict_), funcs(funcs_), syms(syms_) { scanner = new lexer(); } parser::~parser() { delete scanner; } } // namespace GiNaC