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Related

Genuine decimal numbers

rhubarbdog
rhubarbdog over 2 years ago

if floating point numbers are letting you down because of the gaps and rounding errors try my decimal numbers class decimal.py at https://github.com/rhubarbdog/decimal-numbers . There is a version for microbit called microbit.py follow the instructions in the README.md.
See example code decimal_math.py and pi.py for python 3 and other boards and for microbit it's microbit_pi.py microbit_root.py

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  • shabaz
    shabaz over 2 years ago in reply to rhubarbdog +2
    Hi, Most of us won't have a Micro:bit ready to test this immediately, so this is why I'd hoped for some example output. Sure, we could use the normal Python version instead of the Micropython version…
  • javagoza
    javagoza over 2 years ago +1
    Can you define precision and scale? Are precision and scale inferred by the constructors?
  • michaelkellett
    michaelkellett over 2 years ago +1
    I just looked at your code on Github (with a view to answering Shabaz's questions) You obviously want to share, which is great, but your code does not make it easy. decimal.py is 945 lines of code…
Parents
  • rhubarbdog
    rhubarbdog over 2 years ago

    try this....

    import decimal

    decimal.Number(1) == decimal.Number(1.0)

    one = decimal.Number(1)

    two = decimal.Number(2)

    eleven = decimal.Number(11)

    pi = decimal.Number(3.1415)

    minus_one = decimal.Number(-1)

    print(decimal.add(one, two))

    print(decimal.subtract(one, two))

    print(decimal.multiply(eleven, two))

    print(decimal.divide(one, eleven, 15))

    print(decimal.absolute(minus_one))

    print(decimal.integer(pi))

    print(decimal.fraction(pi))

    print(decimal.round(pi, 3))

    # the correct way to express a = b

    new_number = decimal.copy(one)

    print(new_number)

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  • shabaz
    shabaz over 2 years ago in reply to rhubarbdog

    I mean, what is the output? Can you demonstrate the error without using the library, versus with using the library?

    I was hoping, something like this (this isn't a real example, this is just to provide a rough idea of what I mean):

    Without decimal-numbers library:

    >>100 / 3

    >> 33.330

    With decimal-numbers library:

    >>print(decimal.divide(decimal.integer(100), decimal.integer(3))

    >> 33.3333333333

    Also, are you using micropython with single-precision, or micropython with double-precision? I have not used micro:bit in a very long time, so I am not sure what it has by default (the micropython firmware is built for single or double precision, I just don't know which of the two the micro:bit firmware image is built to).

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  • shabaz
    shabaz over 2 years ago in reply to rhubarbdog

    I mean, what is the output? Can you demonstrate the error without using the library, versus with using the library?

    I was hoping, something like this (this isn't a real example, this is just to provide a rough idea of what I mean):

    Without decimal-numbers library:

    >>100 / 3

    >> 33.330

    With decimal-numbers library:

    >>print(decimal.divide(decimal.integer(100), decimal.integer(3))

    >> 33.3333333333

    Also, are you using micropython with single-precision, or micropython with double-precision? I have not used micro:bit in a very long time, so I am not sure what it has by default (the micropython firmware is built for single or double precision, I just don't know which of the two the micro:bit firmware image is built to).

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  • rhubarbdog
    rhubarbdog over 2 years ago in reply to shabaz

    On python 3 decimal.Number (0.115) != decimal.Number ("0.115") but on microbit they are the same.

    It is only for version 2 microbit''s version 1 have a code limit of about 8kb

    With the decimal numbers library try

    decimal.divide(decimal.Number(100), decimal.Number(3), 1000)

    The result will be 33.3333.....

    A much greater precision than both python 3 and the 32 bit floats that are implemented in microbit micropython.

    See examples of it in use in decimal_math.py and pi.py or for microbiology it's microbit_root.py and microbit_pi.py 

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