Distance between two points:
sqrt((x1-x2)^2 + (y1-y2)^2)
Is there a way to do this math faster in objective-C ?
EDIT: I think I need to clarify above. I wrote the formula above just to clarify what formula I am using to calculate the distance. ^ is not meant to represent xor – I just wanted to represent the mathematical formula without using any functions like pow or anything, so I meant to use ^ to “raise to the power off”. I was wondering if anyone knows if using bitwise operators, or otherwise writing code in assembly would give an optimized version. I am using the formula in an iPhone / iPad application.
No, if you need the exact distance you cannot beat that formula.
Although to be clear ^ is not an operator for squaring a value, but a bit operator that does xor.
you will need something like
If you can live with just the square (which is useful when you just want to do something like sort by distance, you can use the much more efficient
These will be at least as good as a solution pow. At worst, pow() will use the stack and be less efficient, but maybe your compiler turns it into x*x for this case.