| --- Log opened Tue Jan 03 00:00:24 2017 |
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| 17:58 | <@Azash> | http://i.imgur.com/c1zsRKC.jpg |
| 18:06 | <@gnolam> | :) |
| 18:10 | <&jerith> | That Shakespeare guy was way ahead of his time with *that* one.~ |
| 18:12 | <@sshine> | http://floating-point-gui.de/errors/comparison/ says at the bottom: |
| 18:12 | <@sshine> | There is an alternative to heaping conceptual complexity onto such an apparently simple task: instead of comparing a and b as real numbers, we can think about them as discrete steps and define the error margin as the maximum number of possible floating-point values between the two values. |
| 18:12 | <@gnolam> | jerith: https://www.youtube.com/watch?v=oa_hiLXLbTc |
| 18:12 | <@sshine> | This is conceptually very clear and easy and has the advantage of implicitly scaling the relative error margin with the magnitude of the values. Technically, itās a bit more complex, but not as much as you might think, because IEEE 754 floats are designed to maintain their order when their bit patterns are interpreted as integers. |
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| 18:15 | <@sshine> | -- can anyone understand exactly what he means? let's say double a = 0.1 + 0.2; and double b = 0.15 + 0.15; then abs(*(int*)&a - *(int*)&b) is 1677722 (or 0x19999). |
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| 18:15 | <@sshine> | then what? how do I use these integer steps to find an appropriate epsilon? |
| 18:17 | <@sshine> | (also, that doesn't actually work. I think GCC does some optimization, so I did sscanf("0.1", "%f", &a); |
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| --- Log closed Wed Jan 04 00:00:26 2017 |