Associativity and Precedence in C - c

i) What does if(0) mean?
Everytime I use it to test what output i will get, it returns the false part.
Is it equivalent to if(0 == 0), incase of which the true part is evaluated.
ii) Associativity of logical NOT ! is right to left.
Link: http://www.liv.ac.uk/HPC/HTMLF90Course/HTMLF90CourseNotesnode94.html
The second example in the link of logical operators:
But as per the line "the two subexpressions containing the monadic .NOT. are effectively evaluated first, as there are two of these the leftmost, .NOT.A is done first followed by .NOT.E.", the left NOT is evaluated first, but the first one to be evaluated should be the one on the right...???

I) In C, 0 is false and everything else is true. So with if (0), the condition will always be false and the body will never be executed because 0 is always false.
if (0 == 0) is completely different because 0 does in fact equal zero, and the expression 0 == 0 evaluates to true, so the body of the if is executed.
II) The associativity of operators determines what happens when you have ambiguities from multiple operators of the same precedence. For instance, what should happen in a - b - c? Should the b - c be evaluated first or the a - b? It does matter what order you do them in, because if a = 1, b = 2, and c = 3, a - (b - c) is 2, but (a - b) - c is -4. But because subtraction is left-associative, we can know that a - b will be evaluated first, so the answer to a - b - c is -4 when a = 1, b = 2, c = 3.
All that being said, I can't think of a case where the associativity of the logical not operator would matter, and the associativity of an operator does not determine what order it will be executed in when it is seperated by operators of different precedence.

i) in C, 0 mean false, so if(0) will always jump to the else (if there).
it is the opposite of if(0==0), (or simply if(1)), which will do the true part.

if (0) evaluates the predicate 0 as a binary value. Binary values in C use integers, where zero means false and non-zero means true. Therefore, 0 will always evaluate to false.
For binary operators, being right- or left-associative determines the order that otherwise equally important operators will be processed. Consider the subtraction operator:
37 - 10 - 4
Both - are equal precedence so which should we evaluate first? Well, - is left-associative so we do:
(37 - 10) - 4 ==> (27) - 4 ==> 23
If the - operator were right-associative, we would do:
37 - (10 - 4) ==> 37 - 6 ==> 31
Equality (=) is right-associative because we might chain equalities together. So, if we see
// a and b are initialized to 0
a = b = 45
Both = are equal precedence so we evaluate right to left and do:
a = (b = 45) // b receives 45
a = 45 // a receives 45
If we were to go left-right, we'd get an unexpected result:
(a = b) = 45 // a receives 0
b = 45 // b receives 45
For unary operators, however, ordering can only matter when multiple unary operators affect the same value. For example, let's do:
char x = 0xFF
bool y = !~x
These unary operators are right-associative, so we do:
!(~0xFF) ==> !(0x0) ==> true
In the example you showed, the negation operators affecting A and E didn't have "equal precedence" because they didn't have the same operand. So, associativity doesn't apply.

Related

condition check in If statement [duplicate]

I'm studying C from A Book on C by Kelley-Pohl, and there's this exercise that I don't understand:
int a = 0, b = 0, x;
x = 0 && (a = b = 777);
printf("%d %d %d\n", a, b, x);
x = 777 || (a = ++b);
printf("%d %d %d\n", a, b, x);
They just say to imagine the output and compare it to the real one. I thought the output would have been
777 777 0
778 778 1
but it is
0 0 0
0 0 1
From the C Standard (6.5.13 Logical AND operator)
3 The && operator shall yield 1 if both of its operands compare
unequal to 0; otherwise, it yields 0. The result has type int.
and
4 Unlike the bitwise binary & operator, the && operator guarantees
left-to-right evaluation; if the second operand is evaluated, there is
a sequence point between the evaluations of the first and second
operands. If the first operand compares equal to 0, the second
operand is not evaluated.
In this expression statement
x = 0 && (a = b = 777);
the first operand compares equal to 0. So the second operand is not evaluated that is the values of the variables a and b are not changed. So the variable x will be set to 0 according to the paragraph #3 of the section.
From the C Standard (6.5.14 Logical OR operator)
3 The || operator shall yield 1 if either of its operands compare
unequal to 0; otherwise, it yields 0. The result has type int.
and
4 Unlike the bitwise | operator, the || operator guarantees
left-to-right evaluation; if the second operand is evaluated, there is
a sequence point between the evaluations of the first and second
operands. If the first operand compares unequal to 0, the second
operand is not evaluated.
In this expression statement
x = 777 || (a = ++b);
the first operand compares unequal to 0. So the second operand is not evaluated that is the values of the variables a and b are not changed.. So the variable x will be set to 1 according to the paragraph #3 of the section.
If you will change the order of the operands in the expressions like
x = (a = b = 777) && 0;
x = (a = ++b) || 777;
you get the expected by you result.
The && operator uses lazy evaluation. If either side of the && operator is false, then the whole expression is false.
C checks the truth value of the left hand side of the operator, which in your case is 0. Since 0 is false in c, then the right hand side expression of the operation, (a = b = 777), is never evaluated.
The second case is similar, except that || returns true if the left hand side expression returns true. Also remember that in c, anything that is not 0 is considered true.
Hope this helps.
Another trap in this expression is that; the precendence of the operators. Such as &&, || (logical and, logical or) operators have higher precedence to the assignment operator(=).
in this case x=(0&&(a=b=777)) is same as x=0&&(a=b=777), however x=(0&(a=b=777)) is more readable than the previous one.
Logical operators select one of their operands and returns the result accordingly.
They also force their operands to be boolean as true or false.
In this expression "x=0&&(a=b=777)" since the first operand is false the result will be equal to first operand.Second operand is short circuited and will not be executed.So the output will be a=b=0, x=0.
x=777 || (a=++b) in this expression since the first operand is true the result will be equal to the first operand and logical operator will not check the second operand, logical OR operator will bypass the second operand.In this expression since the first operand is true (777 is converted to true) the result will be True means x=1.Since the second operand is skipped "a" and "b" values will remain same as their previous values, in this case 0,0

C-Arithmetics and precedence

I'm practicing to read C-code faster but I'm struggling to understand this portion:
int a = 7, b = 3, c = 2, d;
d = (b+c >a) || a > c ? a-- : a++;
When I enter this into my program and print out integer d, I get the result of 7. But I cannot really understand why. Can somebody please explain this to me?
You are assigning to d the value of either a-- or a++. Both of these expressions have a value of 7 (the original value of a); the difference between the operators is what they do to their operand (a) after evaluating the expression: one then increments it and the other decrements it.
That is why they are called post-increment and post-decrement operators.
Maybe you are getting confused with the pre-increment and pre-decrement operators, which are ++a and --a? (See also: Pre increment vs Post increment in array .)
As for the ternary operator (x ? y : z) and how to 'read' that, then you can take it as if x then y else z; so, if the result of the test (which has a logical OR, which means it will be true if either comparison is true) is true, then d = a--, otherwise d = a++. But, as mentioned already, both will give the same value to d, in this case (though they will have different effects on a). Note also that the ternary operator has a lower precedence than either the logical OR or the relational comparisons, so you can read as though everything between the = and the ? is in (another set of) brackets.
The expression is parsed as
d = ((b+c >a) || a > c) ? a-- : a++;
so d gets the result of either a— or a++, which is 7 in both cases. The difference is what the value of a is after the expression is evaluated.
|| forces left to right evaluation, so b+c > a is evaluated first. Since b+c is 5, the result of the expression is false (0), so a > c is evaluated. The result of that expression is true (1), so the result of (b+c > a) || a > c is true (1), meaning we assign the result of a— to d. Thus d will be 7 and a will be 6.
This is how operator precedence works in C
Step 1
d = (3 + 2 > 7) || 7 > 2 ? a-- : a++;
Step 2
d = false || true ? a-- : a++;
Step 3
d = true ? a-- : a++;
Here value of 'a' will be changed but not in this statement so value of 'a' still be 7
But if you print a in other statement it will changed as 6.
To learn more about operator precedence https://en.cppreference.com/w/c/language/operator_precedence

C bitwise precedence and associativity

#include <stdio.h>
int main() {
int a = 1;
int b = a || (a | a) && a++;
printf("%d %d\n", a, b);
return 0;
}
when I ran this code the results were 1 and 1.
According to the C language Operator Precedence the operation && is supposed to happen before the operation ||. So shouldn't the result be 2 1 ? (a = 2, b = 1)
when OR'ing expressions in C, a shortcut is taken, I.E. as soon as an expression is evaluated to TRUE, the rest of the OR'd expressions are not evaluated
The first expression a evaluates to TRUE, so all the rest of the expressions are not evaluated, so a is never incremented
When applying the operator precedence rules, the expression is equivalent to:
int b = a || ((a | a) && a++);
The evaluation or the operands to || and && is performed from left to right and shortcut evaluation prevents evaluating the right operand if the left operand can determine the result: since a is non zero, a || anything evaluates to 1 without evaluating the right operand, hence bypassing the a++ side effect.
Therefore both a and b have value 1 and the program prints 1 1.
Conversely, if you had written int b = (a || ((a | a)) && a++;, the left operand of && would have value 1, so the right operand need to be evaluated. a++ evaluates to 1 but increments a, so b have final value 1 and a is set to 2, producing your expected result.
The confusion comes from equating operator precedence with order of evaluation. These are two separate notions: operator precedence determines the order in which to apply the operators, but does not determine the order of evaluation of their operands.
Only four operators have a specified order of evaluation of their operands: &&, ||, ? : and , and the first 2 may skip evaluation of one, depending on the value of the other operand and the third only evaluates the first and only one among the second and third operands. For other operators, the order of evaluation of the operands is unspecified, and it may differ from one compiler to another, one expression to another or even one run to another, although unlikely.
When I try to put a || (a | a) into a parenthesis. The result was as you expected.
So I guess that when C compiler executes an OR operator and it get a True value to the OR, the execution will finish immediately.
In your case, when the compiler executed the a || (a | a) (1 || something) operation. Value of b will be declared to 1 right away and a++ operator won't be execute.

Incrementation issues [duplicate]

I'm studying C from A Book on C by Kelley-Pohl, and there's this exercise that I don't understand:
int a = 0, b = 0, x;
x = 0 && (a = b = 777);
printf("%d %d %d\n", a, b, x);
x = 777 || (a = ++b);
printf("%d %d %d\n", a, b, x);
They just say to imagine the output and compare it to the real one. I thought the output would have been
777 777 0
778 778 1
but it is
0 0 0
0 0 1
From the C Standard (6.5.13 Logical AND operator)
3 The && operator shall yield 1 if both of its operands compare
unequal to 0; otherwise, it yields 0. The result has type int.
and
4 Unlike the bitwise binary & operator, the && operator guarantees
left-to-right evaluation; if the second operand is evaluated, there is
a sequence point between the evaluations of the first and second
operands. If the first operand compares equal to 0, the second
operand is not evaluated.
In this expression statement
x = 0 && (a = b = 777);
the first operand compares equal to 0. So the second operand is not evaluated that is the values of the variables a and b are not changed. So the variable x will be set to 0 according to the paragraph #3 of the section.
From the C Standard (6.5.14 Logical OR operator)
3 The || operator shall yield 1 if either of its operands compare
unequal to 0; otherwise, it yields 0. The result has type int.
and
4 Unlike the bitwise | operator, the || operator guarantees
left-to-right evaluation; if the second operand is evaluated, there is
a sequence point between the evaluations of the first and second
operands. If the first operand compares unequal to 0, the second
operand is not evaluated.
In this expression statement
x = 777 || (a = ++b);
the first operand compares unequal to 0. So the second operand is not evaluated that is the values of the variables a and b are not changed.. So the variable x will be set to 1 according to the paragraph #3 of the section.
If you will change the order of the operands in the expressions like
x = (a = b = 777) && 0;
x = (a = ++b) || 777;
you get the expected by you result.
The && operator uses lazy evaluation. If either side of the && operator is false, then the whole expression is false.
C checks the truth value of the left hand side of the operator, which in your case is 0. Since 0 is false in c, then the right hand side expression of the operation, (a = b = 777), is never evaluated.
The second case is similar, except that || returns true if the left hand side expression returns true. Also remember that in c, anything that is not 0 is considered true.
Hope this helps.
Another trap in this expression is that; the precendence of the operators. Such as &&, || (logical and, logical or) operators have higher precedence to the assignment operator(=).
in this case x=(0&&(a=b=777)) is same as x=0&&(a=b=777), however x=(0&(a=b=777)) is more readable than the previous one.
Logical operators select one of their operands and returns the result accordingly.
They also force their operands to be boolean as true or false.
In this expression "x=0&&(a=b=777)" since the first operand is false the result will be equal to first operand.Second operand is short circuited and will not be executed.So the output will be a=b=0, x=0.
x=777 || (a=++b) in this expression since the first operand is true the result will be equal to the first operand and logical operator will not check the second operand, logical OR operator will bypass the second operand.In this expression since the first operand is true (777 is converted to true) the result will be True means x=1.Since the second operand is skipped "a" and "b" values will remain same as their previous values, in this case 0,0

What is the order of evaluation of the statements in this code?

I came across this question.
#include <stdio.h>
int main()
{
int k=8;
int x=0==1||k++;
printf("%d %d",x,k);
return 0;
}
The output is 1 9.
As this answer suggests that
Unlike the bitwise | operator, the || operator guarantees left-to-right evaluation; there is a sequence point after the evaluation of the first operand. If the first operand compares unequal to 0, the second operand is not evaluated.
I am unable to understand how the statement int x=0==1||k++ is evaluated,due to which the value of x and k becomes 1,9 respectively.
Can someone explain how such statements are evaluated by the compiler in c ?
"Unlike the bitwise | operator, the || operator guarantees left-to-right evaluation; there is a sequence point after the evaluation of the first operand. If the first operand compares unequal to 0, the second operand is not evaluated."
yes it's true ...
to make it clear first make sure that you are aware of these basics
1) (1 || any_var) is 1
2) Operator precedence is as follows
++
then
==
then
||
NOW coming to your doubt of || vs |
note that | (single pipe) operator ..,will execute both LHS and RHS , no matter what)
whereas
|| (double pipe) evaluates LHS of || first and if it is 1 it need not evaluate RHS (for speed)
RHS of || operator will not be evaluted if LHS comes out to be true.
but here 0==1 is false i.e 0==1 returns 0
hence RHS will be evalauted
so the statement
k++ is executed
but 8 is used (as property of post increment operator says--> first use then increment)
so 0||8 is definitely true (1) so x evaluates to 1
and then k is incremented after sequence point ie k is made equal to 9
hence output x=1 and k=9
I hope it clears your doubt :)
The Operator || (OR) evaluates to true in the cases:
ex: A || B
A is true,
B is true,
Both are true
Because this operation uses Short-Circuit Evaluation if A is evaluated to true, it means that the statement is true already and it won't evaluate B.
In your case 0==1 (0 equals 1) is clearly false, so it will evaluate k++. k++ is a tricky one (in my opinion). In the world of C true/false evaluation is based on being 0 or not (except for the times false means less than 0...) but in true/false evaluation 0 is false, everything else is true.
K++ means evaluate K then increment, so, if K is 0 it will be false and become 1, if it is anything else, it will be true and then increment.
In your case k == 8 so the result of k++ is TRUE and k will become 9. K being true means x evaluation resulted in TRUE (it was FALSE OR TRUE).
So the output is 1(True) 9(8++)
x is 1 because the expression: 0==1||k++ turns out to be true (which is 1 in C land). Why you ask? There are two sequence points here: 0 == 1 and k++. Since the first sequence point evaluates to false (0 in C land), the second sequence point is evaluated (because the short circuit operator is ||). The second sequence returns true (or 1). So, you the entire expression breaks down to: 0 || 1. Hence x is 1.
k is 9 because of k++;
HTH.

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