Writing expressions: Infix, Postfix and Prefix - c

My task is to write an app(unfortunatly on C) which reads expression in infix notation(with variables, unary and binary operators) and store it in memory, then evaluate it. Also, checks for correctness should be performed.
for example:
3*(A+B)-(-2-78)*2+(0*A)
After I got all values, program should calculate it.
The question is:
What is the best way to do this?(with optimization and validation)
What notation to choice as the base of tree?
Should I represent expression as tree? If so I can easily optimize it(just drop nodes which returns 0 or smth else).
Cheers,

The link suggested in the comment by Greg Hewgill above contains all the info you'll need:
If you insist on writing your own,
a recursive descent parser is probably the simplest way to do it by hand.
Otherwise you could use a tool like Bison (since you're working in C). This tutorial is the best I've seen for working with Flex and Bison (or Lex/Yacc)
You can also search for "expression evaluator" on Codeproject - they have a lot of articles on the topic.
I came across the M4 program's expression evaluator some time ago. You can study its code to see how it works. I think this link on Google Codesearch is the version I saw.

Your question hints at requirements being put on your solution:
unfortunatly on C
so some suggestions here might not be permissible. Nevertheless, I would suggest that this is quite a complicated problem to solve, and that you would be much better off trying to find a suitable existing library which you could link into your C code to do this for you. This would likely reduce the time and effort required to get the code working, and reduce the ongoing maintenance effort. Of course, you'd have to think about licensing, but I'd be surprised if there wasn't a good parsing/evaluation library "out there" which could do a good job of this.

Related

Is my Sudoku algorithm considered an "expert system"?

I wrote a code which has all the rules of Sudoku written into it (one occurence of a digit per column, line, and square). The code takes an input (unfilled sudoku grid), and returns a solution by translating logical clauses into DIMACS format and using a SAT solver.
Given that the algorithm respects rules, takes in data, and uses that data to form conclusion based on implications (eg if there is a 1 in the first cell, there cannot be a 1 in the second cell), is this code considered an "expert system"? Thank you.
Whether a program is an expert system is subjective, but I'd say unless your program is encoding non-trivial knowledge acquired from a domain expert, it's not an expert system. If you can't teach another person to practically do what your program is doing, it's not an expert system.
By that definition, what you've done is probably not an expert system since it would be too time consuming for a person to use the same technique. I've written a sudoku solver using a production system (https://sourceforge.net/p/clipsrules/code/HEAD/tree/branches/63x/examples/sudoku/) that I would consider to be an expert system. The encoded knowledge was acquired from websites with advanced techniques for humans to use for solving sudoku puzzles. All of the encoded techniques can be practically used by humans for solving puzzles (although some of the more complex techniques push that boundary).
Although my sudoku solver can solve much more complicated puzzles than I could, calling it an expert system is not an indication of its sophistication. There are better approaches for solving extremely complex sudoku puzzles than emulating approaches humans might take.
In the 80's, I had written a clone of the Emycin expert system engine. One important characteristic was the ability for the user to ask WHY the expert system got some conclusion. The system could reply (in an almost natural language) that it applied such and such rules to get to the conclusion.
With this kind of system, the knowledge is modeled and implemented (by a cognitician engineer) as an explicit set of rules. These rules are objects known by the engine. The engine can trigger the rules (forward or backward or maybe using metarules...) and can log the triggered rules and thus explain its conclusions.
(this is my sense for expert systems).

Pros and Cons on designing a calculator with eval

I'm making a calculator for android using kivy and it's almost done (cannot use java becasue python is the only language I know). The way it works is, the user inputs an expression and eval is used to evaluate that expressions. At the moment, in my app, the eval expression can contain numbers, mathematical operators (+, -, /, *) and most of the operators from math module (In short, it's a scientific calculator) and it works as intended. In future I'm planning on integrating matplotlib to add graphical capabilities to the app. So within the context, is eval a safe option. Given my limited experience in programming I didn't think of eval as being an unsafe method in a lot of situations, it was just a few days ago when I stumbled upon a thread which discussed the safety issues associated with using eval.
So is it better to change the eval to something else within my app or is it safe in the given situation? if yes to the former, what's the best alternative without changing my code too much. Also it'd be better if it is in the python standard library so that I don't increase the app size)
Edit: Btw, the eval expression is calculated in real time (not sure if this matters).
This article ought to be of good use to you -- it's almost precisely what you're trying to do.
This one, on the other hand, is a good warning as to what could happen if you're not careful. Presumably there are good ways around this (maybe just filter out any input containing double underscores, as a really really simple start), but it's worth remembering that Python has lots of magic, and that most of said magic is accessible through eval().

Can the shunting yard algorithm parse POSIX regular expressions?

At first glance, the shunting yard algorithm seems applicable to POSIX regular expression parsing, but since I don't have much experience (or theoretical background) in writing parsers, I'd like to ask SO before jumping in and writing something only to get stuck halfway.
Perhaps a more sophisticated version of the question is: What is a good formal statement of the class of problems the shunting yard algorithm can be applied to?
Clarification: This question is about whether you can parse POSIX re syntax into an abstract syntax tree using the basic principles of the shunting algorithm, not whether you can use regular expressions to implement the shunting algorithm. Sorry I wasn't clear enough stating that to begin with!
I'm fairly sure it can. If you look at Henry Spencer's regular expression package:
regexp.shar.Z
which was the basis for Perl's regular expressions, you will notice that he describes the program as being in "railroad normal form".
I reckon you'd have some problems because different characters have different meanings in different contexts e.g.
^[^a-z][asd-]
The ^ has two different meanings and so does the -. I think I'd choose a recursive descent parser.
I don't see why it wouldn't be suitable. Looking at some old code, it does seem I used a completely different parsing strategy for my last regexp parser, however (essentially, a walk-through from the start, building the resulting automaton representation as you go, with some look-ahead and recursive calls to implement grouping of regular expressions).
I will say that the answer to your question is "no, you cannot implement the shunting yard algorithm using a regular expression." This is for the same reason you cannot parse arbitrary HTML using regular expressions. Which boils down to this:
Regular expressions do not have a stack. Because the shunting yard algorithm relies on a stack (to push and pop operands as you convert from infix to RPN), then regular expressions do not have the computational "power" to perform this task.
This glosses over many details, but a "regular expression" is one way to define a regular language. When you "use" a regular expression, you are asking the computer to say: "Look at a body of text and tell me whether or not any of those strings are in my language. The language that I defined using a regular expression." I'll point to this most excellent answer which you and everyone reading this should upvote for more on regular languages.
So now you need some mathematical concept to augment "regular languages" in order to create more powerful languages. If you were to characterize the shunting yard algorithm as an realization of a model of computational power, then you might say that the algorithm would be described as a context-free grammar (hey what do you know, that link uses an expression parse tree as an example.) A push-down automata. Something with a stack.
If you are less-than-familiar with automata theory and complexity classes, then those wikipedia articles are probably not that helpful without explaining them from the ground up.
The point being, you may be able to use regex to help writing shunting yard. But regex are not very good at doing operations that have an arbitrary depth, which this problem has. So I would not spend too much time going down the regex avenue for this problem.

What projects cannot be done in C?

I would like to know what projects cannot be done in C.
I know programming can be quicker and more intuitive in
other languages. But I would like to know what features
are missing in C that would prevent a project from being
completed well.
For example, very few web-frameworks exist in C.
C, like many other languages, is Turing Complete.
So simple answer is: none.
However, C++ Template Meta Programming meets the same criterion, so "it is possible" is not a good criterion to choose tools.
The very first C compiler?
A working solution to the halting problem
Alright, here's one: you cannot write an x86 boot sector in C. This is one of those things that has to be written in ASM.
There are none.
Different languages give you different ways to say things. For some classes of problems a given language may be more expressive and/or concise. Are there projects that you should pick something aside from C? Yes, of course. But to say you can't do it well in C is misleading. It would be better to ask which language is the best choice for the problem at hand, and are the gains worth using something unfamiliar?
Anything can be done in virtually any language.
That said there is a level of practicality. As your system's complexity increases, you need better tools to manage it.
The problems are still solvable, but you start to need more people and much more effort in design. I'm not saying other languages don't benefit from design, I'm saying that the same level and attention to detail may not be required.
Since we programmers are Human (I am at least) we have troubles in one area or another. My biggest is memory. If I can visualize my code as objects, manipulating large modules in my head becomes easier, and my brain can handle larger projects.
Of course, it's even possible to write good OO code in C, the patterns were developed in C by manually managing dispatch tables (tables of pointers with some pointers updated to point to different methods), and this is true of all programming constructs from higher languages--they can be done in any language, but...
If you were to implement objects in C, every single class you wrote would have a large amount of boilerplate overhead. If you made some form of exception handling, you would expose more boilerplate.
Higher level languages abstract this boilerplate out of your code and into the system, simplifying what you have to think about and debug (a dispatch table in C could take a lot of debugging, but in C++ it isn't going to fail because the code generated by a working compiler is going to be bug-free and hidden, you never see it).
I guess I'd say that's the biggest (only?) difference between low level and higher level languages, how much boilerplate do you hide. In the latest batch of dynamic languages, they are really into hiding loop constructs within the language, so more things look like:
directory.forEachFile(print file.name); // Not any real language
In C, even if you isolated part of the looping inside a function, setting up the function pointers and stuff would still take lines of un-obvious code that is not solving part of your primary problem.
There is not a single algorithm that cannot be written with C.
Depends on how much you want to invest (time/money/energy) to make it happen. Otherwise, I'd say there aren't any. It is just easier sometimes to use something else.
OS kernel has been written in C and everything runs over it so you can write everything in C.
Boot sector that needs ASM :-) , I don't think you meant that.

What is an example in which knowing C will make me write better code in any other language?

In the Stack Overflow podcasts, Joel Spolsky constantly harps on Jeff Atwood about Jeff not knowing how to write code in C. His statement is that "knowing C helps you write better code." He also always uses some sort of story involving string manipulation and how knowing C would allow you to write more efficient string routines in a different language.
As someone who knows a little C, but loves to write code in perl and other high-level languages, I have never once come across a problem that I was able to solve by writing C.
I am looking for examples of real-world situations where knowing C would be useful while writing a project in a high-level/dynamic language like perl or python.
Edit: Reading some of the answers you guys have submitted have been great, but still doesn't make any sense to me in this regard:
Take the strcat example. There's a right way and a wrong way to combine strings in C. But why should I (as a high-level developer) think that I am smarter than Larry Wall? Why wouldn't the language designers write the string manipulation code the right way?
The classic example that Joel Spolsky uses is on misuse of strcat and strlen, and spotting "Shlemiel the painter" algorithms in general.
It's not that you need C to solve problems that higher-level languages can't solve, it's that knowing C well gives you a perspective on what's going on underneath all those levels of languages that allows you to write better software. Because just such a perspective helps you avoid writing code which is, unknown to you, actually O(n^2), for example.
Edit: Some clarification based on comments.
Knowing C is not a prerequisite for such knowledge, there are many ways to acquire the same knowledge.
Knowing C is also not a guarantee of these skills. You may be proficient in C and yet still write horrible, grotty, kludgy code in every other language you touch.
C is a low-level language, yet it still has modern control structures and functions so you aren't always getting caught up in the fiddly details. It's very difficult to become proficient at C without gaining a mastery of certain fundamentals (such as the details of memory management and pointers), mastery of which often pays rich dividends when working in any language.
It's always about the fundamentals.
This is true in many pursuits as well as software engineering. It is not secret incantations that make the best programmers the best, rather it is a greater mastery of the fundamentals. Experience has shown that knowledge of C tends to have a higher correlation to mastery of certain of those fundamentals, and that learning C tends to be one of the easier and more common routes to acquiring such knowledge.
It's a mistake to assume that learning C will somehow automatically give you a better understanding of low-level programming concerns. In a lot of cases even C is too high level to give you a good understanding of efficiency concerns.
A classic is i++ versus ++i. It's over-cited, so perhaps most people know the implications about performance between these two operations. But learning C wouldn't magically teach you this by itself.
I guess I understand arguments about strings. When string operations are made deceptively simple, people often use them in inefficient ways. But again, knowing that strncat exists doesn't give you a full appreciation for the efficiency concerns. A lot of C programmers probably haven't even thought about the fact that strncat has to do a strlen operation internally.
Even using C, it's important to understand what's going on behind the scenes if efficiency is a concern. People who know C tend to view things in a progression. Assembly and machine code are the building blocks of C, while C is a building block of higher level languages.
This isn't specifically true, but it's obvious that C is "closer to the metal" than many higher level languages. This has at least two effects: efficiency concerns aren't as hidden behind implicit behavior, and it's easier to screw up.
So you want a specific example of how knowing C gives you an advantage. I don't think there is one. I think what people mean when they say this is that knowing what's going on behind the scenes in whatever language you're happening to write for helps you make more intelligent decisions about how to write code. However, it's a mistake to assume that C is "what's going on behind the scenes" in Java, for instance.
It's hard to quantify exactly, but having an understanding of C will give your more insight into how higher-level language constructs are implemented, and as a consequence you'll be better able to use the constructs in an intelligent manner.
To give you a specific reason: having to write my own Garbage Collection routines has helped my write better code.
I don't think I have ever found a problem that I haven't been able to solve with a higher-level language; but started by learning C, it has instilled in me quite a number of excellent development practices. Knowing how the rudimentary parts of the flow of an application work will enable to you be able to look at your own code and get a good visual of how the data flows, and where it is stored. This then leads to a better understand of how to track down leaking memory, slow disk reads, poorly constructed caches, etc.
Keeping track of Pointers... that's another one that comes to mind.
Classic examples are things involving lower level memory management, such as the implementation of a linked list class:
struct Node
{
Data *data;
Node *next;
}
Understanding how the pointers are used to iterate the list, and what they signify in terms of the machine architecture will allow you to better understand your high level code.
Another example which Joel was referring to was the implementation of string concatenation, and the right way to create a string from a set of data.
// this is efficient
for (int i=0; i< n; i++)
{
strcat(str, data(i));
}
// this could be too, but you'd need to look at the implementation to be sure
std::string str;
for (int i=0; i<n; i++)
{
str+=data(i);
}
Knowing C helps you to write better code in C. I guess that the example of Joel Spolsky is of little use in C++ or Objective-C where specific classes for manipulating strings exist and have been crafted with performance in mind. Moreover, using C tricks in other languages may be couter productive.
Nevertheless, C knowledge is very helpful to understand general concepts in other languages and what is behind the hood in many situations.
As someone who knows a little C, but loves to write code in perl and other high-level languages, I have never once come across a problem that I was able to solve by writing C.
I am looking for examples of real-world situations where knowing C would be useful while writing a project in a high-level/dynamic language like perl or python.
It's easy to start writing high level code and then wonder we it's running slow. The truth is there are many ways to write perl or python code, and some are better (as in more efficient) than the others. If you know the low level details of how your code is executed in perl or python (both of which are written in C) you can code around several inefficiencies --like knowing which looping construct is faster, how memory is retained/released, etc.
Also, when writing a project in perl or python you sometimes hit a performance wall. The creators of the language (Guido, at least) advocate that you implement that part in C, as a language extension. To do that, well, you'll have to know C.
So, there.
For the purposes of argument, suppose you wanted to concatenate the string representations of all the integers from 1 to n (e.g. n = 5 would produce the string "12345"). Here's how one might do that naïvely in, say, Java.
String result = "";
for (int i = 1; i <= n; i++) {
result = result + Integer.toString(i);
}
If you were to rewrite that code segment (which is quite good-looking in Java) in C as literally as possible, you would get something to make most C programmers cringe in fear:
char *result = malloc(1);
*result = '\0';
for (int i = 1; i <= n; i++) {
char *intStr = malloc(11);
itoa(i, intStr, 10);
char *tempStr = malloc(/* some large size */);
strcpy(tempStr, result);
strcat(tempStr, intStr);
free(result);
free(intStr);
result = tempStr;
}
Because strings in Java are immutable, Integer.toString creates a dummy string and string concatenation creates a new string instance instead of altering the old one. That's not easy to see from just looking at the Java code. Knowing how said code translates into C is one way of learning exactly how inefficient said code is.
Do you use arrays much ? and do you come across situations where you need items to be stored in memory without knowing how many of them (i.e. based on a query from the database?) then I suppose C would teach you great things like stacks, structs and link lists which might help you. Regards, Andy
Knowing C is really not worth much. Many of us who know C deeply like to think that all that deep insight is valuable and important.
Some of us who know C can't think of a single specific feature of C that's helpful to know about.
Knowing how pointers work in C (especially with C's syntax) isn't all that helpful. In a high-level language your statements create objects and manage their interaction. Pointers and references are -- perhaps -- interesting from a hypothetical point of view. But the knowledge has no practical impact on how you use Java or Python.
The higher-level languages are the way they are. Knowing how doesn't change those languages; it doesn't change how you use them, debug or test them.
Knowing how to create or manipulate a linked list has no earthly impact on Python list class definition. None.
Knowing the difference between Linked List and Array List might help you write a Java program. But the C implementation doesn't help you choose between Linked List and Array List. The decision is independent of knowing C.
A bad algorithm is bad in every language. Knowing inner mysteries of C doesn't make a bad algorithm any less bad. Knowing C doesn't help you know the Java collections or the Python built-in types.
I can't see any value in learning C. Learning Fortran is just as valuable.
Technically, all of the deficiencies of C would force you to code around them; making you write more code -> making you more experienced in general. Lacking any portable integer bigger than 32-bits, for example, C has, in the past, made me write my own bignum library.
The lack of implicit memory, resource and error management (garbage collection, RAII, automatically-called constructors/destructors, maybe exceptions) force C users to write a lot of initialization, error-handling and cleanup code. It may just be me, but I'm never tired of writing such code. I go and read the documentation of every external function I call, return to my code and check for every return value and other failure-indicative stuff. It even makes me feel safe!
This last point is probably the biggest one to be made in favor of the argument. You can only write so many malloc()/free() pairs before you start to analyze the lifetime of every single variable you come across in every single language! C++'s automatic-storage objects don't help this disorder, either.
Writing truly portable C code often requires the programmer to be free of a lot assumptions about the host system - think sizeof(), CHAR___BITS, unsigned long, UINT_MAX. While this hasn't helped me write better code in other languages, it has helped me think about possible alternate implementations: how a tiny microprocessor could still run my C code, generating a gazillion RISC instructions for my simple one-line statement. (That is another thing; not many other languages map to and from a given assembly language so easily in my head. Then again, that may just be me.)
Of course, none of these arguments go only for C. #S.Lott has a valid point - Fortran might be an equally good alternative. But there is so much C code around! A whole personal computer system from top to bottom -applications to libraries to drivers to kernel- is available in source code in C. It would be such a waste if you could not read it.
I think it is worth knowing some low-level language, and there are pragmatic reasons to choose C:
It's low-level, close to assembler
It's widespread
Understanding the whole stack is valuable. Sometimes you need to debug something's guts. Sometimes you cannot fix a performance problem without low-level knowledge (this is often not the case, e.g., when the performance problem is purely algorithmic, but sometimes it is).
Why is C widely considered the quintessential "bottom of the stack", and not some other language(s)? I think this because C is a low-level programming language, and C won. It has been a while now, but C was not always as dominant. To take just one famous example, the proponents of Common Lisp (which had its own ways of writing low-level code) were hoping their language would be popular, too, and eventually lost.
The following are usually implemented in C:
operating systems (Unix variants, Windows, many embedded operating systems)
higher-level programming languages (many popular implementations of Java, Python, etc)
(obviously) reams of popular open source projects
I'm not a hardware person, but I gather that C has influenced CPU design heavily, too.
So if you believe in understanding the whole stack, learning C is, from a pragmatic perspective, the best choice.
As a caveat, I think it's worth learning assembler, as well. Although C is close to the metal, I didn't fully understand C until I had to do some assembler. It is occasionally helpful to understand how functions calls are actually performed, how for loops are implemented, etc. Less important, but also useful, is having to (at least once) deal with a system without virtual memory. When using C on Windows, Unix, and certain other operating systems, even humble malloc does a lot of work under the covers that is easier to appreciate, debug and/or tune if you've ever had to deal with manually locking and unlocking memory regions (not that I would recommend doing so on a regular basis!)
I see it like this , everything boils down to C in a crossplatform level, and assembly in a platform specific way. So it's like being a crosscountry Rally racer, and C is basic automotive mechanics, you can be a great driver but when you get into trouble knowing C means you can probably get yourself back in the race, if not you're stuck calling the mechanics. And assembly is what the mechanics and manufacturers know, it's a worthy investment if that's what you want to do, otherwise you can just trust the mechanics.
For specifics think about memory management, hardwar drivers, physics engines, high performance 3d graphics, TCP stacks, binary protocols, embedded software, creating high level languages like Perl
You cannot write an OS kernel in Perl; C would be a much better choice for that, because it is low-level enough to express everything the kernel should do, and portable enough to let you port your kernel to different architectures
Knowing C is not a requirement to being able to effectively use higher-level languages, but it certainly can help ones general understanding of how computers and software work - I think it's similar to an assertion that knowing some assembly language or computer architecture/hardware logic (and/or/nand gates, etc) can help a C programmer be a better programmer.
Sometimes in order to solve a problem it helps to know how things are working 'underneath' what you're doing.
I don't think this means a programmer must know C in order to be a good programmer, but I think that knowing C can be helpful to almost any programmer.
Not knowing Perl well, I am wondering if it is now possible to distribute processor load to more than one physical core with several threads created in a single program in Perl, without spawning additional processes
I don't think there can be any specific example.
What learning C does for you is give you an insight, a broadening of the mind, into how computers (and software) work. It's a very abstract thing ..
It doesn't make you write better code in python, it just makes you more of a computer scientist.
The reference that Wedge made to Joel's article mentioning Shlemiel the painter is an interesting one but has no relevance here. That algorithm is not tied to C in any particular way (although it manifests itself in null-terminated strings).
Python's strings are immutable anyway, and completely different from C's model of strings, so I don't quite see the relationship.
I suppose one concrete example is optimizing a parser or a lexer or a program that keeps writing to a string buffer all the time. If you use normal strings instead of a string buffer, you'll run across a problem when you build very large strings.
Consider that:
a = a + b
makes a copy of both a and b. It doesn't change the string that was referenced by a, it creates a new string, allocating more memory, etc.
If a becomes considerably large, and you keep adding small things to it, then Shlemiel the painter will manifest himself.
But then again, knowing this has nothing to do with knowing C, just knowing how your language implements things at the low level. (This is where having an experiece in C will help you).
In Python, say you have a function
def foo(l=[])
l.append("bar")
return l;
On some version of Python, available about a year ago, running foo() for times, you'd get a really interesting result (i.e. ["bar","bar","bar","bar]).
It seems that someone implemented the default parameters as a static variable (and without resetting it), so unexpected results happen.
Perhaps my example was contrived - a friend of mine who actually likes Python found this peculiar bug, but the fact of the matter is all of these languages are implemented in C or C++. Not knowing and not understanding concepts that are fundamental to the base language means that you won't have an in-depth understanding of languages that are built on top of that.
I find all the "why bother with C/C++/ASM question silly". If you're inclined enough to learn a language, that means that you're curious enough to get into it the first place. Why stop at just before C?
Knowing C is great because it does nothing behind your back (GC, bounds checking, etc.). It only does exactly what you tell it too. Nothing is implied. Even C++ does things you don't tell it too with RAII (of course, it is implied that the object is destructed when it goes out of scope, but you don't actually write that). C is a great way to learn what goes on 'under the hood' of the computer, without having to write assembly.
inefficient code (eg loops of string+=) are typically inefficient in any language. what difference does it make if someone explains why it is inefficient in one language or the other? knowing C, but not realizing that a method is inefficient, is no different than knowing python and not realizing the same.

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