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// Grammar
// E ::= M ((+|-)M)* | M
// M ::= N ((*|/)N)* | N
// N ::= [0-9]* | -E | +E | (E)
public static int Parse(string s)
{
Contract.Requires(s != null);
Contract.Requires(s.Length > 0);
int pos = 0;
int result = ParseE(s, ref pos);
if (pos < s.Length)
{
throw new ArgumentException("s");
}
return result;
}
private static int ParseE(string s, ref int pos)
{
Contract.Requires(s != null);
Contract.Requires(pos >= 0);
Contract.Requires(pos < s.Length);
Contract.Ensures(pos >= Contract.OldValue(pos));
int result = ParseM(s, ref pos);
while (pos < s.Length && (s[pos] == '+' || s[pos] == '-'))
{
if (s[pos] == '+')
{
pos++;
TestPosition(s, pos);
result = result + ParseM(s, ref pos);
}
else
{
pos++;
TestPosition(s, pos);
result = result - ParseM(s, ref pos);
}
}
return result;
}
private static int ParseM(string s, ref int pos)
{
Contract.Requires(s != null);
Contract.Requires(pos >= 0);
Contract.Requires(pos < s.Length);
Contract.Ensures(pos >= Contract.OldValue(pos));
int result = ParseN(s, ref pos);
while (pos < s.Length && (s[pos] == '*' || s[pos] == '/'))
{
if (s[pos] == '*')
{
pos++;
TestPosition(s, pos);
result = result * ParseN(s, ref pos);
}
else
{
pos++;
TestPosition(s, pos);
int div = ParseN(s, ref pos);
if (div == 0)
{
throw new DivideByZeroException();
}
// TODO check result == int.MinValue and div = -1
result = result / div;
}
}
return result;
}
private static int ParseN(string s, ref int pos)
{
Contract.Requires(s != null);
Contract.Requires(pos >= 0);
Contract.Requires(pos < s.Length);
Contract.Ensures(pos >= Contract.OldValue(pos));
if (s[pos] == '(')
{
pos++;
TestPosition(s, pos);
int result = ParseE(s, ref pos);
if (pos >= s.Length || s[pos] != ')')
{
throw new ArgumentException("s");
}
pos++; // skip ')'
return result;
}
if (s[pos] == '-')
{
pos++;
TestPosition(s, pos);
// Todo check -int.MinValue
return -ParseE(s, ref pos);
}
if (s[pos] == '+')
{
pos++;
TestPosition(s, pos);
return ParseE(s, ref pos);
}
return ParseNumber(s, ref pos);
}
private static int ParseNumber(string s, ref int pos)
{
Contract.Requires(s != null);
Contract.Requires(pos >= 0);
Contract.Requires(pos < s.Length);
Contract.Ensures(pos >= Contract.OldValue(pos));
Contract.EnsuresOnThrow<ArgumentException>(pos < s.Length && !char.IsNumber(s[pos]));
int result = 0;
while (pos < s.Length && char.IsNumber(s[pos]))
{
result = (result * 10) + (s[pos] - '0');
pos++;
}
return result;
}
private static void TestPosition(string s, int position)
{
Contract.Requires(s != null);
Contract.Ensures(position >= Contract.OldValue(position));
Contract.Ensures(position < s.Length);
Contract.EnsuresOnThrow<ArithmeticException>(position >= s.Length);
if (position >= s.Length)
{
throw new ArgumentException("s");
}
} |
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