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Zero product property (practice) | Khan Academy

Join Stack Overflow to learn, share knowledge, and build your career. Connect and share knowledge within a single location that is structured and easy to search. I have question answer math ka zero algorithm which uses floats or doubles to perform some calculations. Now, I am worried about b - a might be zero.

But if the result of b - a is exactly zero, I expect that something platform dependant will happen due to divide by zero. I could change the if statement to:. I have seen there are multiple representations for exact zero in floating point? How can you test for them all without doing some epsilon check, which I don't need a small epsilon will be ignored in my algorithm?

Not sure if it was clear enough to people. Basically I want to know how to find if an expression like:. It depends on how question answer math ka zero and question answer math ka zero got their values. Zero has an exact representation in floating point format, but the bigger problem would be almost-but-not-quite zero values.

It would always be safe to check:. Then all your troubles disappear! I guess you can use fpclassify But this is only useful if you question answer math ka zero to check if someone did put some kind of zero into float-type variable. As many already said if you want to check result of calculation you quesstion get values very close to zero due to nature of representation. In brief, we can know a floating number is ZERO exactly if we know it represent format.

In practicewe compare x with a small number. And if x is less than this number, queston think x is as same as ZERO functionally but most of time our small answeg is still large than zero. This method is very easy, efficient and can cross platform. Actuallythe float and double questioj been presented by special format, and the widely used one is IEEE in current hardware which divided the number into sign, exponent and mantissa significand bits.

In IEEE binary floating point numbers, zero values are represented by the biased exponent and significand both being zero. Negative zero has the sign bit set to one. Take float for example, we can write a simple code to extract exponent and mantissa bit and then check it. I've received some downvotes on this answer, and I wondered if I should just delete it. So, my answer is wrong. But I guess I'm leaving it up because it provides for an interesting "think out of the box" kind of thought experiment.

If a equals b, then b-a will be equal 0. Essentially, you take the floating point variables you have and tell the compiler to reinterpret them bit for bit as signed integers, as in the following:.

Then you are comparing integers, and not floating points. Maybe that will help? Maybe not. Good luck! The float maths is tricky but questioning this is exaggerating in my opinion. Distinguishing positive and negative 0 is also not necessary. See e. No platform dependency here I guess. Stack Overflow for Teams � Collaborate and share knowledge with a private group.

Create a free Team What is Teams? Learn. Asked 9 years, 1 month ago. Active 5 years, 2 months ago. Viewed 36k times. Example: double a; double question answer math ka zero double c; I could change the if statement to: if! What is the platform independant way to check? EDIT: Not sure if it was clear enough to people. Bingo Bingo 3, 5 5 gold badges 21 21 silver badges 24 24 bronze badges.

Mystical That's fine, it would put the result outside of the range of interest for my problem. It's hard to find an implementation that doesn't use IEEE floating-point. Someone care to correct me if I'm wrong? Mysticial: Depends on what the numerator is. Apparently 0. Show 2 more comments. Active Zwro Votes. Where 0. Why exactly would an almost-but-not-quite zero number be a problem?

My algorithm already rejects results from a almost-but-not-quite zero denominator Bingo: I don't see your algorithm rejecting b - a question answer math ka zero a value of 1e Such a test costs little and is great insurance for resisting morphing of code, even if one version of it cannot produce that value. Shouldn't that be fabs instead of abs? This answer helped me in my question answer math ka zero. Was dubious about abs vs.

Qufstion 1 more comment. TonyK TonyK Add a comment. Please comment a reason for downvoting. I promise that's only for understanding my mistake. Patric Patric 1, 15 15 silver badges 18 18 bronze badges. Aaron Johnson Aaron Johnson 1 1 gold badge 7 7 silver badges 14 14 bronze badges. I'd upvote this if it weren't for the rather ugly casting thing. Thanks for your answer. The equality idea is worth question answer math ka zero.

Would be nice for a more general solution questuon the denominator wasn't the result of a subtraction. Question answer math ka zero, I think comparing bitwise which is the integer approach is the problem. Different zerk of zero would have different bit patterns. I do not see any point to using this comparison. Even worse, on nearly all platforms, int is 32 bits and double 64, so you're just comparing the high or low depending on your platform quetsion bits for equality, which is useless.

Plus, it would compare two NaNs as equal if they happen to have the same bits set, and unequal if they don't, which is definitely not useful� � quetsion Sep 13 '13 at David L. You're right! Rest of the answer I leave although the deleted part was why I decided to reply May 20 '13 at Dividing with floating point zero is well defined if the compiler follows IEEE standards. This answer is nonsense.

Right, it is not an answer to the original problem, just a remark related to zzero. I should have put it in as a comment, but many previous posts referred to. But your remark is correct. More on this [ en. You could try if b-a! Mark Mark 1, 3 3 gold badges question answer math ka zero 25 silver badges 48 48 bronze badges. Not exactly sure, but are you sure that b-a and a-b would produce the same version of zero in floating point?

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This article has become a reference for them when looking for math solutions. How to search for solutions to math questions By Murray Bourne , 24 Apr I recently updated the search facility on IntMath so it no longer contains advertisements for other sites. Your blog URL can be left blank. If the question comes from a text book I hope it was better expressed if it did , go back and read over what a quadratic equation is, and how to find its roots where it will equal zero, i. You'll notice in each case there is a useful page in the first two or three links given in the search result. For a new problem, you will need to begin a new live expert session.

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