Numerical Methods at work

Disclaimer:
Permission to use, copy, and distribute this software, and It’s documentation for any non-commercial purpose is hereby granted without fee, provided: THE SOFTWARE IS PROVIDED "AS-IS" AND WITHOUT WARRANTY OF ANY KIND, EXPRESS, IMPLIED OR OTHERWISE, INCLUDING WITHOUT LIMITATION, ANY WARRANTY OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. IN NO EVENT SHALL Henrik Vestermark, BE LIABLE FOR ANY SPECIAL, INCIDENTAL, INDIRECT OR CONSEQUENTIAL DAMAGES OF ANY KIND, OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER ADVISED OF THE POSSIBILITY OF DAMAGE, AND ON ANY THEORY OF LIABILITY, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.

Exploring the Binary Splitting method.

This tool lets you explore the Binary Splitting method to compute several mathematical constant like π, e, G, Apery and others compare them with built−in values, and generate error plots. You can add multiple input sets, automatically produce new plots for each, and then print a combined report containing both the data and the plotted results.A paper detailing the Binary Splitting method can be found here. Exploring the Binary Splitting Method.

Binary Splitting Explorer vs. 1.1
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  • Infomation
  • Help
  • Error Plot 1

Binary Splitting Explorer - Quick Guide

This tool computes constants (like π, e, and Catalan's constant) using the binary splitting algorithm. Follow these steps:

  1. Choose Constant: Pick which constant you want to approximate (for example, π-Ramanujan).
  2. No. of Splits: Specify how many splits you want, or set it to "auto" to let the tool decide.
  3. Verbose Mode (Optional): Check “Verbose” to see detailed steps of each split.
  4. Review Error: Watch the “Approx. error” field to see how close the computed value is to the built-in reference.
  5. Plots: Each input set creates its own error plot. Click on Error Plot #N to see how the error changes with the number of splits.
  6. Add More Inputs: Use Add Input Field if you want to compare additional constants or different numbers of splits side-by-side.
  7. Check Results: The “Infomation” tab logs computation details and errors for quick reference.
  8. Clear, Print, or Email:
    • Clear resets the text log.
    • Print opens a new page with the results and plots.
    • Email lets you send the same content to an address of your choice.

If you have questions or feedback, use the contact link or email hve@hvks.com.

Corrections:
22-Mar-2025vs 1.1Added two more Lemniscate method from Zuniga (version x and x2)
7-Jan-2025vs 1.0Initial release