mpmath | Python library for arbitrary-precision floating
kandi X-RAY | mpmath Summary
kandi X-RAY | mpmath Summary
Python library for arbitrary-precision floating-point arithmetic
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Trending Discussions on mpmath
QUESTION
TL;DR: Matrix multiplication for state transition matrix should be norm preserving, but np.matmul
does not conserve norm. How can I fix this? Is there a better python module to do so?
I have a right state transition matrix, A, i.e., s(t)A(tau)=s(t+tau)
where s(t) is a column matrix which sums to 1. Also, we know that each row of A adds upto 1 as well.
We know that A^n is also a right state transition matrix for any n in natural numbers.
One way to find the steady state distribution is to compute A^n as n goes to infinity. The following snippet calculates A^(2^n):
...ANSWER
Answered 2022-Apr-09 at 14:29The problem comes from the fact that the operation is not numerically stable. As a result it quickly diverge (exponentially) to 0 or infinity even with relatively-small values of n
like 70. You can use a diagonalization method based on eigenvalues (see here for more informations) which is far more numerically stable.
QUESTION
I am trying to build an app from a python file (Mac OS) using the py2app extension. I have a folder with the python file and the "setup.py" file.
- I first tested the app by running
python setup.py py2app -A
in the terminal and the dist and build folder are successfully created and the app works when launched. - Now when I try to build it non-locally by running the command
python setup.py py2app
in the terminal, there are various "WARNING: ImportERROR" messages while building and finally aerror: [Errno 2] No such file or directory: '/opt/anaconda3/lib/python3.8/site-packages/rtree/lib'
error.
How can I fix this? I've tried to delete anaconda fully as I don't use it but it seems to still want to run through it. Additionally, I have tried to run the build command using a virtual environment but I end up having even more import errors.
*I Left out a lot of the "skipping" and "warning" lines using "..." for space
ANSWER
Answered 2022-Mar-13 at 16:13The error error: [Errno 2] No such file or directory: '/opt/anaconda3/lib/python3.8/site-packages/rtree/lib'
was caused by py2app trying to build the program bundle using a non-existent interpreter. This means that even if you try to uninstall a manager like Anaconda, it still has option logs somewhere on your mac.
The fix:
- Open the terminal and type the command
type -a python
.
- You will see similar lines
QUESTION
I am going over the description of Sha-512. It is mentioned that the initial hash value consists of the sequence of 64-bit words that are obtained by taking the fractional part of the first eight primes. I am trying to replicate these values in Python, but I am not getting the same results. To include more digits, I am using the mpmath library.
...ANSWER
Answered 2022-Mar-08 at 21:38As a comment already explained, you're actually only using 53 bits in your calculations (native CPython float precision).
Here's an easy way to reproduce the result you're apparently after:
QUESTION
Trying to (re)install Jupyter's nbextension via the following steps in terminal
- pip install jupyter_contrib_nbextensions
- jupyter contrib nbextension install --user
- install --user jupyter nbextension enable varInspector/main
Step 1 = runs and i am able to launch notebooks via "jupyter notebook" in terminal just fine.
Step 2 = fails with
...ANSWER
Answered 2022-Mar-01 at 17:47So in case anyone comes across similar for any reason with me encountering this probably due getting a new machine and IT doing their voodoo magic transferring my old stuff to this new machine.
Anyhow, there were a bunch of things I still needed to install after I got my new machine and i am not able to exactly pin point what caused issues from my question but in the end I was able to resolve. Follow me there below ...
Checking out my python.exe files I found 2 paths. First one added as environment variable
- C:\Users-----\AppData\Local\Programs\Python\Python310
- C:\Users----\AppData\Roaming\Python\Python310\
Second one not added. Adding roaming version to path variables did not solve the issue and gave additional errors instead:
Fatal error in launcher: Unable to create process using '"C:\Program Files\Python310\python.exe"
So
I uninstalled python (done that before didnt help doing just that alone)
Deleted all environment variables pointing to python (here is what environment variables are just in case - https://www.computerhope.com/issues/ch000549.htm)
Uninstalled python extension from VS code (https://marketplace.visualstudio.com/items?itemName=ms-python.python)
Deleted Python folders mentioned in the two paths above
Then reinstalled python (clicked add to path during installation)
Reinstalled VS code python extension
Everything works now.
Best of luck
QUESTION
Im attempting to recreate a fourier approximation for a python function with a given numerical output (without using external libraries), however my function only works in the range of numbers from 0.0 to 1.0. Ive considered simply multiplying any given input larger than 1.0 to a negative power of ten, and then multiplying by the positive power once the result has been held.
However, as I am limiting myself to not use external libraries (ie something like Decimal
or mpmath
), I feel as though this solution would not work well given python's limited floating-point precision. I feel as though there's a much less 'hacky' solution to this problem, however I am unable to figure out what such may be.
ANSWER
Answered 2022-Feb-03 at 14:16This code is computing a nice triangular wave (which is in no way restricted to the interval [0, 1]). I limited the number of terms to 5 then to 50 to make the Runge phenomenon clearly visible.
By the way, the computation is perfectly accurate.
QUESTION
I am trying to print pi with a specific number of decimal places based on an input. When I enter 99 decimal places, it prints out 99. When I enter 100 decimal places, it only prints out 99. When I enter 101 decimal places it prints out 101. I want to be able to limit it to 100 decimal places. I am new to python and trying to work an exercise. Here is my code:
...ANSWER
Answered 2022-Jan-27 at 02:06The issue is that a value ending in a 0
at the end of the decimals won't print that 0
. Compare mp.dps
values 32
, 33
and 34
(where a 0
occurs naturally in pi). At the position where you're looking at, the value would end in a 9
, but since the next digit is >= 5
, it rounds to a 0
and doesn't print.
However, see this:
QUESTION
I want to run the 3 code snippets from this webpage.
I've made all 3 one post, as I am assuming it all stems from the same problem of optimum
not having been imported correctly?
Kernel: conda_pytorch_p36
Installations:
...ANSWER
Answered 2022-Jan-11 at 12:49Pointed out by a Contributor of HuggingFace, on this Git Issue,
The library previously named LPOT has been renamed to Intel Neural Compressor (INC), which resulted in a change in the name of our subpackage from
lpot
toneural_compressor
. The correct way to import would now be fromoptimum.intel.neural_compressor.quantization import IncQuantizerForSequenceClassification
Concerning thegraphcore
subpackage, you need to install it first withpip install optimum[graphcore]
Furthermore you'll need to have access to an IPU in order to use it.
Solution
QUESTION
I'm trying to solve 5 equations with 5 unknowns.
...ANSWER
Answered 2022-Jan-07 at 12:43As suggested here, the error got resolved by adding:
QUESTION
Good day
I am getting an error while importing my environment:
...ANSWER
Answered 2021-Dec-03 at 09:22Build tags in you environment.yml are quite strict requirements to satisfy and most often not needed. In your case, changing the yml file to
QUESTION
I would like to know if there exists a python interval arithmetic library with the following features:
If x and y are both intervals, eg: [1.2,2.1], [3.8,9.9], then their sum/product/ratio is an interval, and in particular, any real number in the first interval plus/times/over the a real number in the second interval, will be contained in the resulting interval.
In particular, I would like to know of such a library that does this and accounts for floating point error so that the results can be used in mathematical proofs. I have found some libraries such as this one: https://pythonhosted.org/uncertainties/ that account for error on real numbers, however they don't do so in this stricter sense that I require.
Thanks to TimPeters for suggesting this library:
https://mpmath.org/doc/current/contexts.html#arbitrary-precision-interval-arithmetic-iv
I think this should be the correct tool to use.
...ANSWER
Answered 2021-Nov-09 at 21:19As suggested in comments, the OP appeared to be happy with the basic interval arithmetic facilities (binary floating point, with user-settable precision, emulated in software) supplied by the widely used mpmath
extension library.
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Install mpmath
You can use mpmath like any standard Python library. You will need to make sure that you have a development environment consisting of a Python distribution including header files, a compiler, pip, and git installed. Make sure that your pip, setuptools, and wheel are up to date. When using pip it is generally recommended to install packages in a virtual environment to avoid changes to the system.
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