File: exam_parser.cpp

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/** @file parser_bugs.cpp
 *
 *  Check for some silly bugs in the parser. */

/*
 *  GiNaC Copyright (C) 1999-2025 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 "ginac.h"
using namespace GiNaC;

#include <iostream>
#include <sstream>
#include <stdexcept>
#include <string>

using namespace std;

// - a - b was misparsed as -a + b due to a bug in parser::parse_unary_expr()
static int check1(ostream& err_str)
{
	const string srep("-a-b");
	parser reader;
	ex e = reader(srep);
	ex a = reader.get_syms()["a"];
	ex b = reader.get_syms()["b"];
	ex g = - a - b;
	ex d = (e - g).expand();
	if (!d.is_zero()) {
		err_str << "\"" << srep << "\" was misparsed as \""
			<< e << "\"" << endl;
		return 1;
	}
	return 0;
}

/// Parser was rejecting the valid expression '5 - (3*x)/10'.
static int check2(ostream& err_str)
{
	const string srep("5-(3*x)/10");
	parser reader;
	ex e = reader(srep);
	ex x = reader.get_syms()["x"];
	ex g = 5 - (3*x)/10;
	ex d = (e - g).expand();
	if (!d.is_zero()) {
		err_str << "\"" << srep << "\" was misparsed as \""
			<< e << "\"" << endl;
		return 1;
	}
	return 0;
}

/// parse_literal_expr forget to consume the token, so parser get
/// very confused.
static int check3(ostream& err_str)
{
	const string srep("5-(2*I)/3");
	parser reader;
	ex e = reader(srep);
	ex g = numeric(5) - (numeric(2)*I)/3;
	ex d = (e - g).expand();
	if (!d.is_zero()) {
		err_str << "\"" << srep << "\" was misparsed as \""
			<< e << "\"" << endl;
		return 1;
	}
	return 0;
}

/// parser happily accepted various junk like 'x^2()+1'
static int check4(ostream& err_str)
{
	const string junk("x^2()+1");
	parser reader;
	ex e;
	try {
		e = reader(junk);
		err_str << "parser accepts junk: \"" << junk << "\"" << endl;
		return 1;
	} catch (parse_error& err) {
		// Ok, parser rejects the nonsense.
		return 0;
	}
}

// Check that two strings parse to equal expressions.
static int check_eq(ostream &err_str, parser &reader, const char *expr1, const char *expr2)
{
	const string srep1(expr1);
	const string srep2(expr2);
	ex e1, e2;
	try{ e1 = reader(srep1); } catch (const exception &e) {
		err_str << "\"" << srep1 << "\" failed to parse: "
			<< e.what() << endl;
		return 1;
	}
	try{ e2 = reader(srep2); } catch (const exception &e) {
		err_str << "\"" << srep2 << "\" failed to parse: "
			<< e.what() << endl;
		return 1;
	}
	if (!(e1-e2).expand().is_zero()) {
		err_str << "\"" << srep1 << "\" was misparsed as \""
			<< e1 << "\"" << endl;
		return 1;
	}
	return 0;
}

// Tests for the interaction of the '^' operator with
// the unary '+' and the unary '-' operators
static int check5(ostream& err_str)
{
	parser reader;
	return
		+check_eq(err_str, reader, "3^2+1", "10")
		+check_eq(err_str, reader, "3^+2-1", "8")
		+check_eq(err_str, reader, "3^-2+1", "10/9")
		+check_eq(err_str, reader, "3^-2/5", "1/45")
		+check_eq(err_str, reader, "3^-2*5", "5/9")
		+check_eq(err_str, reader, "3^-2-5", "-44/9")
		+check_eq(err_str, reader, "3^(-2)+1", "10/9")
		+check_eq(err_str, reader, "(3)^(-2)+1", "10/9")
		+check_eq(err_str, reader, "+3^2+1", "10")
		+check_eq(err_str, reader, "+3^+2+1", "10")
		+check_eq(err_str, reader, "+3^-2+1", "10/9")
		+check_eq(err_str, reader, "+3^-2/5", "1/45")
		+check_eq(err_str, reader, "+3^-2*5", "5/9")
		+check_eq(err_str, reader, "+3^-2-5", "-44/9")
		+check_eq(err_str, reader, "-3^2+1", "-8")
		+check_eq(err_str, reader, "-3^+2+1", "-8")
		+check_eq(err_str, reader, "-3^-2+1", "8/9")
		+check_eq(err_str, reader, "-3^-2/3", "-1/27")
		+check_eq(err_str, reader, "1+2^3^4", "1+(2^81)")
		+check_eq(err_str, reader, "2^3^4+1", "1+(2^81)")
		+check_eq(err_str, reader, "2^+3^4+1", "1+(2^81)")
		+check_eq(err_str, reader, "2^3^+4+1", "1+(2^81)");
}

// Tests for the interaction of the '*' operator with
// the unary '+' and the unary '-' operators
static int check6(ostream& err_str)
{
	parser reader;
	return
		+check_eq(err_str, reader, "3*+2-1", "5")
		+check_eq(err_str, reader, "3*2+1", "7")
		+check_eq(err_str, reader, "3*+2+1", "7")
		+check_eq(err_str, reader, "3*-2+1", "-5")
		+check_eq(err_str, reader, "3*-2/5", "-6/5")
		+check_eq(err_str, reader, "3*-2*5", "-30")
		+check_eq(err_str, reader, "3*-2-5", "-11")
		+check_eq(err_str, reader, "3*(-2)+1", "-5")
		+check_eq(err_str, reader, "(3)*(-2)+1", "-5")
		+check_eq(err_str, reader, "+3*2+1", "7")
		+check_eq(err_str, reader, "+3*+2+1", "7")
		+check_eq(err_str, reader, "+3*-2+1", "-5")
		+check_eq(err_str, reader, "+3*-2/5", "-6/5")
		+check_eq(err_str, reader, "+3*-2*5", "-30")
		+check_eq(err_str, reader, "+3*-2-5", "-11")
		+check_eq(err_str, reader, "-3*2+1", "-5")
		+check_eq(err_str, reader, "-3*+2+1", "-5")
		+check_eq(err_str, reader, "-3*-2+1", "7")
		+check_eq(err_str, reader, "-3*-2/3", "2")
		+check_eq(err_str, reader, "1+2*3*4", "25")
		+check_eq(err_str, reader, "2*3*4+1", "25")
		+check_eq(err_str, reader, "2*+3*4+1", "25")
		+check_eq(err_str, reader, "2*3*+4+1", "25");
}

// Tests for nested unary + and unary -
static int check7(ostream& err_str)
{
	parser reader;
	return
		+check_eq(err_str, reader, "+1", "1")
		+check_eq(err_str, reader, "++1", "1")
		+check_eq(err_str, reader, "+-+1", "-1")
		+check_eq(err_str, reader, "+-+-1", "1")
		+check_eq(err_str, reader, "+-+-+1", "1")
		+check_eq(err_str, reader, "100++--+1+10", "111");
}

// Tests involving functions and constants (including their evaluation)
static int check8(ostream& err_str)
{
	parser reader;
	return
		+check_eq(err_str, reader, "sqrt(x)+sqrt(x)", "2*sqrt(x)")
		+check_eq(err_str, reader, "sqrt(x)-sqrt(x)", "0")
		+check_eq(err_str, reader, "sqrt(x)+sqrt(y)", "sqrt(x)+sqrt(y)")
		+check_eq(err_str, reader, "sqrt(x)^2", "x")
		+check_eq(err_str, reader, "sqrt(x^2)", "sqrt(x^2)")
		+check_eq(err_str, reader, "pow(x^2,2)", "pow(x,4)")
		+check_eq(err_str, reader, "pow(x^(1/2),2)", "x")
		+check_eq(err_str, reader, "pow(z^1/2,2)", "(z^2)/4")
		+check_eq(err_str, reader, "log(x)+log(x)", "2*log(x)")
		+check_eq(err_str, reader, "log(x)-log(x)", "0")
		+check_eq(err_str, reader, "exp(log(x))", "x")
		+check_eq(err_str, reader, "log(exp(x))", "log(exp(x))")
		+check_eq(err_str, reader, "sin(asin(x))", "x")
		+check_eq(err_str, reader, "asin(sin(x))", "asin(sin(x))")
		+check_eq(err_str, reader, "cos(acos(x))", "x")
		+check_eq(err_str, reader, "cos(acos(asin(sin(tan(atan(x))))))", "asin(sin(x))")
		+check_eq(err_str, reader, "cos(Pi)+sin(Pi/2)", "0")
		+check_eq(err_str, reader, "Pi-I-2+Euler", "Euler+Pi-I-2");
}

int main(int argc, char** argv)
{
	cout << "examining parser" << flush;
	ostringstream err_str;
	int errors = 0;
	errors += check1(err_str);  cout << '.' << flush;
	errors += check2(err_str);  cout << '.' << flush;
	errors += check3(err_str);  cout << '.' << flush;
	errors += check4(err_str);  cout << '.' << flush;
	errors += check5(err_str);  cout << '.' << flush;
	errors += check6(err_str);  cout << '.' << flush;
	errors += check7(err_str);  cout << '.' << flush;
	errors += check8(err_str);  cout << '.' << flush;
	if (errors) {
		clog << "Yes, unfortunately: " << endl;
		clog << err_str.str();
	}
	return errors;
}