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+--- Thread: On your OS X calculator app... (/showthread.php?tid=32580)
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On your OS X calculator app... - Greg the dogsitter - 05-03-2007
View >> Scientific
Click or type "7" then "%." What do you see?
GtDS
Re: On your OS X calculator app... - M A V I C - 05-03-2007
0.07
woah, that's not what I see, but that's what copy & pastes...
I actually see 0.07000000000000001
Re: On your OS X calculator app... - Greg the dogsitter - 05-03-2007
Okay; so it's not just me. Good!
Re: On your OS X calculator app... - LaserKun - 05-03-2007
Huh?
Re: On your OS X calculator app... - Greg the dogsitter - 05-03-2007
What MAVIC said!
Re: On your OS X calculator app... - MacMagus - 05-03-2007
http://docs.sun.com/source/806-3568/ncg_goldberg.html
Re: On your OS X calculator app... - morlock - 05-03-2007
Reminds me about the story behind the naming of the pentium chip. They had to change the format, because it was 286, 386, 486, but when they did the math, it came to 585.999999999971.
Re: On your OS X calculator app... - M A V I C - 05-03-2007
[quote MacMagus]http://docs.sun.com/source/806-3568/ncg_goldberg.html
*displays geek badge
That's pretty cool. I knew that, but didn't know it, if you know what I mean.
Re: On your OS X calculator app... - mikebw - 05-03-2007
"k and Ck, expand the definitions of sk and ck, ignoring all terms involving xi with i > 1 to get
sk = (sk - 1 + yk)(1 + k)
= [sk - 1 + (xk - ck - 1) (1 + k)](1 + k)
= [(sk - 1 - ck - 1) - kck - 1](1+k)
ck = [{sk - sk - 1}(1 + k) - yk](1 + k)
= [{((sk - 1 - ck - 1) - kck - 1)(1 + k) - sk - 1}(1 + k) + ck - 1(1 + k)](1 + k)
= [{(sk - 1 - ck - 1)k - kck-1(1 + k) - ck - 1}(1 + k) + ck - 1(1 + k)](1 + k)
= [(sk - 1 - ck - 1)k(1 + k) - ck - 1(k + k(k + k + kk))](1 + k),
sk - ck = ((sk - 1 - ck - 1) - kck - 1) (1 + k)
- [(sk - 1 - ck - 1)k(1 + k) - ck - 1(k + k(k + k + kk)](1 + k)
= (sk- 1 - ck - 1)((1 + k) - k(1 + k)(1 + k))
+ ck - 1(-k(1 + k) + (k + k(k + k + kk)) (1 + k))
= (s- 1 - ck - 1) (1 - k(k + k + kk))
+ ck - 1 - [k + k + k(k + kk) + (k + k(k + k + kk))k] "
This is why I switched to graphic arts.
Re: On your OS X calculator app... - MacMagus - 05-03-2007
Floating Point Math 102: a.k.a. Math for Graphic Artists Who Passed Math 101:
http://www.regdeveloper.co.uk/2006/08/12/floating_point_approximation/