The trouble with floating point ...

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awneil
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Posted by awneil: Mon. Jul 6, 2020 - 02:50 PM
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laugh

 

Which reminds me of  Brian Fairchild's signature:

#5 "If you think you need floating point to solve the problem then you don't understand the problem. If you really do need floating point then you have a problem you do not understand."

 

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Tools, Compilers and General Programming
Last Edited: Mon. Jul 6, 2020 - 02:53 PM
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ki0bk
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Posted by ki0bk: Mon. Jul 6, 2020 - 03:31 PM
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And another posted on The Embedded Muse today:

 

So how much was that fee one had to agree too?

 

 

Keys to wealth:

Invest for cash flow, not capital gains!

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avrcandies
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Posted by avrcandies: Mon. Jul 6, 2020 - 04:28 PM
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I much prefer dividing by multiplying integers & tracking the imaginary decimal point.

 

Many years ago a guy asked for some advice...he said he had spent days trying to get some floating point to work (back then it was in asm) & was trying to scale an adc to divide by 7.38 or something.  I told him to scrap it all & he should be multiplying by an integer instead...I thought he was gonna slug me.  Once I explained, he went and tried it & had it running perfectly in a jiffy.  

 

    

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awneil
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Posted by awneil: Mon. Jul 6, 2020 - 04:38 PM (Reply to #3)
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avrcandies wrote:
I much prefer dividing by multiplying integers & tracking the imaginary decimal point.

Absolutely.

 

I think I may have suggested it here just once or twice ... 

 

wink

 

EDIT

 

Didn't think it'd be long before another came along:

 

https://www.avrfreaks.net/commen...

 

laugh

Top Tips:

  1. How to properly post source code - see: https://www.avrfreaks.net/comment... - also how to properly include images/pictures
  2. "Garbage" characters on a serial terminal are (almost?) invariably due to wrong baud rate - see: https://learn.sparkfun.com/tutorials/serial-communication
  3. Wrong baud rate is usually due to not running at the speed you thought; check by blinking a LED to see if you get the speed you expected
  4. Difference between a crystal, and a crystal oscillator: https://www.avrfreaks.net/comment...
  5. When your question is resolved, mark the solution: https://www.avrfreaks.net/comment...
  6. Beginner's "Getting Started" tips: https://www.avrfreaks.net/comment...
Last Edited: Fri. Jul 17, 2020 - 07:10 AM
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barnacle
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Posted by barnacle: Mon. Jul 6, 2020 - 08:10 PM
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That seems a common thread amongst us old ones... it's the realisation that there are no more 'values' available in (e.g) a 32-bit floating point number than there are in a 32-bit fixed point number. Suddenly it's obvious that  if the range is so large, there must be gaps between the numbers.

 

I guess that modern CE teaching doesn't include theory of numbers, just how to find a suitable library and hope that it's bug-free.

 

Neil

Neil Barnes
www.nailed-barnacle.co.uk

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ki0bk
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Posted by ki0bk: Mon. Jul 6, 2020 - 08:40 PM
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Keys to wealth:

Invest for cash flow, not capital gains!

Wealth is attracted, not chased! 

Income is proportional to how many you serve!

 

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avrcandies
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Posted by avrcandies: Tue. Jul 7, 2020 - 02:54 AM
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In that case, you might as well make it a double!

Don't interrupt him--you don't want to be the type to cause an overflow!

When in the dark remember-the future looks brighter than ever.   I look forward to being able to predict the future!

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awneil
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Posted by awneil: Tue. Jul 7, 2020 - 08:40 AM
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(oops - wrong thread)

Top Tips:

  1. How to properly post source code - see: https://www.avrfreaks.net/comment... - also how to properly include images/pictures
  2. "Garbage" characters on a serial terminal are (almost?) invariably due to wrong baud rate - see: https://learn.sparkfun.com/tutorials/serial-communication
  3. Wrong baud rate is usually due to not running at the speed you thought; check by blinking a LED to see if you get the speed you expected
  4. Difference between a crystal, and a crystal oscillator: https://www.avrfreaks.net/comment...
  5. When your question is resolved, mark the solution: https://www.avrfreaks.net/comment...
  6. Beginner's "Getting Started" tips: https://www.avrfreaks.net/comment...
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