On use of parenthesis - basic

So I was looking over some A-Levels Computer Science past papers, and stumbled into this:
Now, my first reaction was that there is no need for parenthesis on line 6. Reason being that algebraic operators take precedence over comparisons which take precedence over boolean ones.
As a small example from Java:
int a = 100;
int b = 100;
int c = 100;
int d = 100;
if( ((c+d) > 180) && ((a+b+c+d)) >= 320)
System.out.println("greater");
if(c+d > 180 && a+b+c+d >=320)
System.out.println("greateragain");
Both if statements are evaluated to true.
So, am I right in thinking parenthesis are only for human readability in this case or...?

You can say: "The use of parentheses makes the precendence of evaluation explicit, disregarding of the operator precendence of the language in use."
The comments above describe well that operator precendence is language specific. For example, in Pascal, logical operators such as AND seem to have higher precendence than math operators, and interpreted as binary AND. In contrast in C, the && has lower precedence, hence you can save some parentheses.
Therefore, it sounds like a wise idea to always use parentheses in case of a possible ambiguity, or at least until you're mastering the language in use.

BASIC was one of the early languages that took advantage of the fact that logical operators and bit-wise operators can share the same mnemonic.
In the example - c+d > 180 AND a+b+c+d >= 320 could (by a stretch of the imagination) have been interpreted as (c + d) > (180 AND a) + b + c + (d > 320). For this reason it is necessary to add brackets to eremove all ambiguity.

Related

Why were Logical Operators created?

Almost all programming languages are having the concept of logical operator
I am having a query why logical operators were created. I googled and found its created for condition based operation, but that's a kind of usage i think.
I am interested in the answer that what are the challenges people faced without this operator. Please explain with example if possible.
I am interested in the answer that what are the challenges people faced without this operator.
Super-verbose deeply nested if() conditions, and especially loop conditions.
while (a && b) {
a = something;
b = something_else;
}
written without logical operators becomes:
while (a) {
if (!b) break; // or if(b){} else break; if you want to avoid logical ! as well
a = something;
b = something_else;
}
Of if you don't want a loop, do you want to write this?
if (c >= 'a') {
if (c <= 'z') {
stuff;
}
}
No, of course you don't because it's horrible compared to if (c >= 'a' && c <= 'z'), especially if there's an else, or this is inside another nesting. Especially if your coding-style rules require 8-space indentation for each level of nesting, or the { on its own line making each level of nesting eat up even more vertical space.
Note that a&b is not equivalent to a&&b: even apart from short-circuit evaluation. (Where b isn't even evaluated if a is false.) e.g. 2 & 1 is false, because their integer bit patterns don't have any of the same bits set.
Short-circuit evaluation allows loop conditions like while(p && p->data != 0) to check for a NULL pointer and then conditionally do something only on non-NULL.
Compact expressions were a big deal when computers were programmed over slow serial lines using paper teletypes.
Also note that these are purely high-level language-design considerations. CPU hardware doesn't have anything like logical operators; it usually takes multiple instructions to implement a ! on an integer (into a 0/1 integer, not when used as an if condition).
if (a && b) typically compiles to two test/branch instructions in a row.

Statements vs Expressions in Haskell, Ocaml, Javascript

In Haskell, afaik, there are no statements, just expressions. That is, unlike in an imperative language like Javascript, you cannot simply execute code line after line, i.e.
let a = 1
let b = 2
let c = a + b
print(c)
Instead, everything is an expression and nothing can simply modify state and return nothing (i.e. a statement). On top of that, everything would be wrapped in a function such that, in order to mimic such an action as above, you'd use the monadic do syntax and thereby hide the underlying nested functions.
Is this the same in OCAML/F# or can you just have imperative statements?
This is a bit of a complicated topic. Technically, in ML-style languages, everything is an expression. However, there is some syntactic sugar to make it read more like statements. For example, the sample you gave in F# would be:
let a = 1
let b = 2
let c = a + b
printfn "%d" c
However, the compiler silently turns those "statements" into the following expression for you:
let a = 1 in
let b = 2 in
let c = a + b in
printfn "%d" c
Now, the last line here is going to do IO, and unlike in Haskell, it won't change the type of the expression to IO. The type of the expression here is unit. unit is the F# way of expressing "this function doesn't really have result" in the type system. Of course, if the function doesn't have a result, in a purely functional language it would be pointless to call it. The only reason to call it would be for some side-effect, and since Haskell doesn't allow side-effects, they use the IO monad to encode the fact the function has an IO producing side-effect into the type system.
F# and other ML-based languages do allow side-effects like IO, so they have the unit type to represent functions that only do side-effects, like printing. When designing your application, you will generally want to avoid having unit-returning functions except for things like logging or printing. If you feel so inclined, you can even use F#'s moand-ish feature, Computation Expressions, to encapsulate your side-effects for you.
Not to be picky, but there's no language OCaml/F# :-)
To answer for OCaml: OCaml is not a pure functional language. It supports side effects directly through mutability, I/O, and exceptions. In many cases it treats such constructs as expressions with the value (), the single value of type unit.
Expressions of type unit can appear in a sequence separated by ;:
let s = ref 0 in
while !s < 10 do
Printf.printf "%d\n" !s; (* This has type unit *)
incr s (* This has type unit *)
done (* The while as a whole has type unit *)
Update
More specifically, ; ignores the value of the first expression and returns the value of the second expression. The first expression should have type unit but this isn't absolutely required.
# print_endline "hello"; 44 ;;
hello
- : int = 44
# 43 ; 44 ;;
Warning 10: this expression should have type unit.
- : int = 44
The ; operator is right associative, so you can write a ;-separated sequence of expressions without extra parentheses. It has the value of the last (rightmost) expression.
To answer the question we need to define what is an expression and what is a statement.
Distinction between expressions and statements
In layman terms, an expression is something that evaluates (reduces) to a value. It is basically something, that may occur on the right-hand side of the assignment operator. Contrary, a statement is some directive that doesn't produce directly a value.
For example, in Python, the ternary operator builds expressions, e.g.,
'odd' if x % 2 else 'even'
is an expression, so you can assign it to a variable, print, etc
While the following is a statement:
if x % 2:
'odd'
else:
'even'
It is not reduced to a value by Python, it couldn't be printed, assigned to a value, etc.
So far we were focusing more on the semantical differences between expressions and statements. But for a casual user, they are more noticeable on the syntactic level. I.e., there are places where a statement is expected and places where expressions are expected. For example, you can put a statement to the right of the assignment operator.
OCaml/Reason/Haskell/F# story
In OCaml, Reason, and F# such constructs as if, while, print etc are expressions. They all evaluate to values and can occur on the right-hand side of the assignment operator. So it looks like that there is no distinction between statements and expressions. Indeed, there are no statements in OCaml grammar at all. I believe, that F# and Reason are also not using word statement to exclude confusion. However, there are syntactic forms that are not expressions, for example:
open Core_kernel
it is not an expression, definitely, and
type students = student list
is not an expression.
So what is that? In the OCaml parlance, they are called definitions, and they are syntactic constructs that can appear in the module on the, so called, top-level. For example, in OCaml, there are value definitions, that look like this
let harry = student "Harry"
let larry = student "Larry"
let group = [harry; larry]
Every line above is a definition. And every line contains an expression on the right-hand side of the = symbol. In OCaml there is also a let expression, that has form let <v> = <exp> in <exp> that should not be confused with the top-level let definition.
Roughly the same is true for F# and Reason. It is also true for Haskell, that has a distinction between expressions and declarations. It actually should be true to probably every real-world language (i.e., excluding brainfuck and other toy languages).
Summary
So, all these languages have syntactic forms that are not expressions. They are not called statements per se, but we can treat them as statements. So there is a distinction between statements and expressions. The main difference from common imperative languages is that some well-known statements (e.g., if, while, for) are expressions in OCaml/F#/Reason/Haskell, and this is why people commonly say that there is no distinction between expressions and statements.

x>y && z==5 - how are parts of this expression called?

I know && is the logical operator here, also conditions on the left and on the right are operands, right?
Like:
1+1 is an expression where + is the operator and the numbers are operands. I just do not know whether the condition itself is called the operand as well because it get compared by an operator. I guess so.+
Thanks
What are the parts called?
>, &&, and == are all operators. Operands are the values passed to the operators. x, y, and z are the initial operands. Once x > y and z == 5 are evaluated, those boolean results are used as the operands to the && operator which means the expressions themselves are not the operands to &&, the results of evaluation those expressions are the operands.
When you put operands and an operator together, you get an expression (i.e. x > y, z == 5, boolResult == boolResult)
How are they evaluated?
In most (if not all) languages x > y will be evaluated first.
In languages that support short circuiting, evaluation will stop if x > y is false. Otherwise, z == 5 is next.
Again, in languages that support short circuiting, evaluation will stop if z == 5 is false. Otherwise, the && will come last.
>, &&, and == are all operators. Operands are the values passed to the operators. x, y, and z are the initial operands. Once x > y and z == 5 are evaluated, those boolean results are used as the operands to the && operator.
One alternative would be to turn to the grammar of C#
It states the following:
conditional-and-expression && inclusive-or-expression
Just generalizing it as "expressions" is probably accurate enough :)
If your question is really what the parts left and right of the && are called, I’d say “expression”, maybe “boolean expression”.
Conditions, or in case of ||: Alternatives
In c# the && is an operator and the left and right are expressions. In an if statement, if the left evaluates to true the right will never be evaluated.
It's a boolean comparison expression that's comprised of two separate boolean comparison expressions.
Depending on the language, how this is interpreted depends on operator precedence. Since it looks like a C-like dialect, I'll assume && is short-circuit AND. (More explanation here).
Order of operations would be left to right as the equality testers (>, >=, <=, ==, !=) have equal precedence to boolean operations (&&, ||).
x > y would be evaulated, and if true, z == 5 would be evaluated, and then the first and second results would be ANDed together. However, if x > y was false, the expression would immediately return false, due to short-circuiting.
You're correct that x>y and z==5 are operands, and && is an operator. In addition, both of these operands in turn contain their own operands and operators. These are called complex operands
So:
x>y and z==5 are operands to the operator &&
x and y are operands to the operator >
z and 5 are operands to the operator ==
Regarding the individual component parts and how to name them:
Both == and > are comparison operators, which compare the values of two operands.
== is an equality operator, and evaluates to true if the left operand is equal to the right operand.
> is a greater than operator, and evaluates to true if the left operand is greater than the right operand.
&& is a logical operator, specifically logical AND. It evaluates to true if both the left and the right operand are true.
When referring to each operand, it's standard to refer to them by their position, i.e. the left operand and right operand - although there's no "official" name - first and second operand work equally well. Note that some operators such as ! have only one operand, and some even have 3 (the ternary operator, which takes the form condition ? true_value : false_value

Chained inequality notation in programming languages

Is there a programming language that supports chained notation a < b < c to be used instead of a < b and b < c in conditional statements?
Example:
if ( 2 < x < 5 )
if ( 2 < x && x < 5 )
First statementlooks better to me, it's easier to understand and the compiler could use transitivity property to warn about mistakes (e.g. 5 < x < 2 would give a warning).
Python does that.
Icon does this, and it is not part of any hacky special-case "chaining"; it is part of Icon's goal-directed evaluation model. Any comparison either succeeds or fails. If it succeeds, it produces the right-hand side. So you can write
if 0 <= i <= j < n then ...
and it works exactly the way you would expect. But it works not just for comparisons but for any expression; this means you can write your own functions that "chain" in exactly the same way. I love this aspect of Icon and wish more languages could incorporate goal-directed evaluation.
N.B. In Guido's paper introducing Python at VHLL (middle 1990s) he mentions Icon explicitly as a source of inspiration in the design of Python.
This sounds like a simple request (and clearly it is simple enough that python implemented it) but it is not necessarily that easy to use. It actually opens up the ability for a lot of errors to be caused.
Specifically, any time that you use functions (or properties in the case of C#, Getters for Java)
So
public int GetX()
{
return 4;
}
(2 < GetX() < 5);
(2 < GetX() > 5);
(5 < GetX() < 2);
Seems like it would be really simple. But problems occur if GetX() has side effects.
private int val = 10;
public int GetCountdown()
{
return val--;
}
(2 < GetCountdown() < 5);
(2 < GetCountdown() > 5);
(5 < GetCountdown() < 2);
In this situation, is "GetCountdown()" decremented twice or just once?
Would the "chained-if-statement" ever shortcut?
Consider the last statments, which roughly evaluates (in english) to "Is 5 less than some value which is less than 2) which should be impossible, but depending on the implementation and side effects, it is possible that some function (Random.NextInt()) could pass both of those tests.
So, for that reason, it would be required that each of the items is only evaluated once, the saved into a local variable for the next comparison. But then you get into shortcutting problems.
public int GetOne()
{
return 1;
}
public int GetVar()
{
return -1;
}
(GetOne() < GetVar() < GetDBVal() < GetUserInput())
Generally, you would want to first check constants and variables before doing a database hit. But if we said (as we said earlier) that all the values must be saved into local variables ahead of time, this means that it might be calling a database hit, and asking the user for information even though "GetVar()" is -1, and so the first comparison fails)
As I said earlier, clearly Python allows this syntax, so it is clearly possible. But, regardless of the technical implications which I have laid out (all of which are easy to design around) it means that your code is less clear because the next person who reads it does not know whether or not you have considered all of this. Whereas, if(x > 2 && x < 5) { } seems clear to me, I know what it does, and I know what the coder intends.

To ternary or not to ternary? [closed]

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Closed 10 years ago.
I'm personally an advocate of the ternary operator: () ? :
I do realize that it has its place, but I have come across many programmers that are completely against ever using it, and some that use it too often.
What are your feelings on it? What interesting code have you seen using it?
Use it for simple expressions only:
int a = (b > 10) ? c : d;
Don't chain or nest ternary operators as it hard to read and confusing:
int a = b > 10 ? c < 20 ? 50 : 80 : e == 2 ? 4 : 8;
Moreover, when using ternary operator, consider formatting the code in a way that improves readability:
int a = (b > 10) ? some_value
: another_value;
It makes debugging slightly more difficult since you can not place breakpoints on each of the sub expressions. I use it rarely.
I love them, especially in type-safe languages.
I don't see how this:
int count = (condition) ? 1 : 0;
is any harder than this:
int count;
if (condition)
{
count = 1;
}
else
{
count = 0;
}
I'd argue that ternary operators make everything less complex and more neat than the alternative.
Chained I'm fine with - nested, not so much.
I tend to use them more in C simply because they're an if statement that has value, so it cuts down on unnecessary repetition or variables:
x = (y < 100) ? "dog" :
(y < 150) ? "cat" :
(y < 300) ? "bar" : "baz";
rather than
if (y < 100) { x = "dog"; }
else if (y < 150) { x = "cat"; }
else if (y < 300) { x = "bar"; }
else { x = "baz"; }
In assignments like this, I find it's less to refactor, and clearer.
When I'm working in ruby on the other hand, I'm more likely to use if...else...end because it's an expression too.
x = if (y < 100) then "dog"
elif (y < 150) then "cat"
elif (y < 300) then "bar"
else "baz"
end
(Although, admittedly, for something this simple, I might just use the ternary operator anyway.)
The ternary ?: operator is merely a functional equivalent of the procedural if construct. So as long as you are not using nested ?: expressions, the arguments for/against the functional representation of any operation applies here. But nesting ternary operations can result in code that is downright confusing (exercise for the reader: try writing a parser that will handle nested ternary conditionals and you will appreciate their complexity).
But there are plenty of situations where conservative use of the ?: operator can result in code that is actually easier to read than otherwise. For example:
int compareTo(Object object) {
if((isLessThan(object) && reverseOrder) || (isGreaterThan(object) && !reverseOrder)) {
return 1;
if((isLessThan(object) && !reverseOrder) || (isGreaterThan(object) && reverseOrder)) {
return -1;
else
return 0;
}
Now compare that with this:
int compareTo(Object object) {
if(isLessThan(object))
return reverseOrder ? 1 : -1;
else(isGreaterThan(object))
return reverseOrder ? -1 : 1;
else
return 0;
}
As the code is more compact, there is less syntactic noise, and by using the ternary operator judiciously (that is only in relation with the reverseOrder property) the end result isn't particularly terse.
It's a question of style, really; the subconscious rules I tend to follow are:
Only evaluate 1 expression - so foo = (bar > baz) ? true : false, but NOT foo = (bar > baz && lotto && someArray.Contains(someValue)) ? true : false
If I'm using it for display logic, e.g. <%= (foo) ? "Yes" : "No" %>
Only really use it for assignment; never flow logic (so never (foo) ? FooIsTrue(foo) : FooIsALie(foo) ) Flow logic in ternary is itself a lie, ignore that last point.
I like it because it's concise and elegant for simple assignment operations.
Like so many opinion questions, the answer is inevitably: it depends
For something like:
return x ? "Yes" : "No";
I think that is much more concise (and quicker for me to parse) than:
if (x) {
return "Yes";
} else {
return "No";
}
Now if your conditional expression is complex, then the ternary operation is not a good choice. Something like:
x && y && z >= 10 && s.Length == 0 || !foo
is not a good candidate for the ternary operator.
As an aside, if you are a C programmer, GCC actually has an extension that allows you to exclude the if-true portion of the ternary, like this:
/* 'y' is a char * */
const char *x = y ? : "Not set";
Which will set x to y assuming y is not NULL. Good stuff.
In my mind, it only makes sense to use the ternary operator in cases where an expression is needed.
In other cases, it seems like the ternary operator decreases clarity.
I use the ternary operator wherever I can, unless it makes the code extremely hard to read, but then that's usually just an indication that my code could use a little refactoring.
It always puzzles me how some people think the ternary operator is a "hidden" feature or is somewhat mysterious. It's one of the first things I learnt when I start programming in C, and I don't think it decreases readability at all. It's a natural part of the language.
By the measure of cyclomatic complexity, the use of if statements or the ternary operator are equivalent. So by that measure, the answer is no, the complexity would be exactly the same as before.
By other measures such as readability, maintainability, and DRY (don't repeat yourself), either choice may prove better than the other.
I use it quite often in places where I'm constrained to work in a constructor - for example, the new .NET 3.5 LINQ to XML constructs - to define default values when an optional parameter is null.
Contrived example:
var e = new XElement("Something",
param == null ? new XElement("Value", "Default")
: new XElement("Value", param.ToString())
);
or (thanks asterite)
var e = new XElement("Something",
new XElement("Value",
param == null ? "Default"
: param.ToString()
)
);
No matter whether you use the ternary operator or not, making sure your code is readable is the important thing. Any construct can be made unreadable.
I agree with jmulder: it shouldn't be used in place of a if, but it has its place for return expression or inside an expression:
echo "Result: " + n + " meter" + (n != 1 ? "s" : "");
return a == null ? "null" : a;
The former is just an example, and better internationalisation and localisation support of plural should be used!
If you're using the ternary operator for a simple conditional assignment I think it's fine. I've seen it (ab)used to control program flow without even making an assignment, and I think that should be avoided. Use an if statement in these cases.
(Hack of the day)
#define IF(x) x ?
#define ELSE :
Then you can do if-then-else as expression:
int b = IF(condition1) res1
ELSE IF(condition2) res2
ELSE IF(conditions3) res3
ELSE res4;
I think the ternary operator should be used when needed. It is obviously a very subjective choice, but I find that a simple expression (specially as a return expression) is much clearer than a full test. Example in C/C++:
return (a>0)?a:0;
Compared to:
if(a>0) return a;
else return 0;
You also have the case where the solution is between the ternary operator and creating a function. For example in Python:
l = [ i if i > 0 else 0 for i in lst ]
The alternative is:
def cap(value):
if value > 0:
return value
return 0
l = [ cap(i) for i in lst ]
It is needed enough that in Python (as an example), such an idiom could be seen regularly:
l = [ ((i>0 and [i]) or [0])[0] for i in lst ]
this line uses properties of the logical operators in Python: they are lazy and returns the last value computed if it is equal to the final state.
I've seen such beasts like (it was actually much worse since it was isValidDate and checked month and day as well, but I couldn't be bothered trying to remember the whole thing):
isLeapYear =
((yyyy % 400) == 0)
? 1
: ((yyyy % 100) == 0)
? 0
: ((yyyy % 4) == 0)
? 1
: 0;
where, plainly, a series of if-statements would have been better (although this one's still better than the macro version I once saw).
I don't mind it for small things like:
reportedAge = (isFemale && (Age >= 21)) ? 21 + (Age - 21) / 3 : Age;
or even slightly tricky things like:
printf ("Deleted %d file%s\n", n, (n == 1) ? "" : "s");
I like using the operator in debug code to print error values so I don't have to look them up all the time. Usually I do this for debug prints that aren't going to remain once I'm done developing.
int result = do_something();
if( result != 0 )
{
debug_printf("Error while doing something, code %x (%s)\n", result,
result == 7 ? "ERROR_YES" :
result == 8 ? "ERROR_NO" :
result == 9 ? "ERROR_FILE_NOT_FOUND" :
"Unknown");
}
I almost never use the ternary operator, because whenever I do use it, it always makes me think a lot more than I have to later when I try to maintain it.
I like to avoid verbosity, but when it makes the code a lot easier to pick up, I will go for the verbosity.
Consider:
String name = firstName;
if (middleName != null) {
name += " " + middleName;
}
name += " " + lastName;
Now, that is a bit verbose, but I find it a lot more readable than:
String name = firstName + (middleName == null ? "" : " " + middleName)
+ " " + lastName;
Or:
String name = firstName;
name += (middleName == null ? "" : " " + middleName);
name += " " + lastName;
It just seems to compress too much information into too little space, without making it clear what's going on. Every time I saw the ternary operator used, I have always found an alternative that seemed much easier to read... then again, that is an extremely subjective opinion, so if you and your colleagues find ternary very readable, go for it.
I like them. I don't know why, but I feel very cool when I use the ternary expression.
I treat ternary operators a lot like GOTO. They have their place, but they are something which you should usually avoid to make the code easier to understand.
Well, the syntax for it is horrid. I find functional ifs very useful, and they often makes code more readable.
I would suggest making a macro to make it more readable, but I'm sure someone can come up with a horrible edge case (as there always is with C++).
I typically use it in things like this:
before:
if(isheader)
drawtext(x, y, WHITE, string);
else
drawtext(x, y, BLUE, string);
after:
drawtext(x, y, isheader == true ? WHITE : BLUE, string);
As others have pointed out they are nice for short simple conditions. I especially like them for defaults (kind of like the || and or usage in JavaScript and Python), e.g.
int repCount = pRepCountIn ? *pRepCountIn : defaultRepCount;
Another common use is to initialize a reference in C++. Since references have to be declared and initialized in the same statement you can't use an if statement.
SomeType& ref = pInput ? *pInput : somethingElse;
I like Groovy's special case of the ternary operator, called the Elvis operator: ?:
expr ?: default
This code evaluates to expr if it's not null, and default if it is. Technically it's not really a ternary operator, but it's definitely related to it and saves a lot of time/typing.
I recently saw a variation on ternary operators (well, sort of) that make the standard "() ? :" variant seem to be a paragon of clarity:
var Result = [CaseIfFalse, CaseIfTrue][(boolean expression)]
or, to give a more tangible example:
var Name = ['Jane', 'John'][Gender == 'm'];
Mind you, this is JavaScript, so things like that might not be possible in other languages (thankfully).
Only when:
$var = (simple > test ? simple_result_1 : simple_result_2);
KISS.
For simple if cases, I like to use it. Actually it's much easier to read/code for instance as parameters for functions or things like that. Also to avoid the new line I like to keep with all my if/else.
Nesting it would be a big no-no in my book.
So, resuming, for a single if/else I'll use the ternary operator. For other cases, a regular if/else if/else (or switch).
For simple tasks, like assigning a different value depending on a condition, they're great. I wouldn't use them when there are longer expressions depending on the condition though.
If you and your workmates understand what they do and they aren't created in massive groups I think they make the code less complex and easier to read because there is simply less code.
The only time I think ternary operators make code harder to understand is when you have more than three or foyr in one line. Most people don't remember that they are right based precedence and when you have a stack of them it makes reading the code a nightmare.
As so many answers have said, it depends. I find that if the ternary comparison is not visible in a quick scan down the code, then it should not be used.
As a side issue, I might also note that its very existence is actually a bit of an anomaly due to the fact that in C, comparison testing is a statement. In Icon, the if construct (like most of Icon) is actually an expression. So you can do things like:
x[if y > 5 then 5 else y] := "Y"
... which I find much more readable than a ternary comparison operator. :-)
There was a discussion recently about the possibility of adding the ?: operator to Icon, but several people correctly pointed out that there was absolutely no need because of the way if works.
Which means that if you could do that in C (or any of the other languages that have the ternary operator), then you wouldn't, in fact, need the ternary operator at all.

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