optimize: convert using continued fractions fundamental recurrence formulas

[shcabin]

PR Details

Description

Related Issue

Motivation and Context

How Has This Been Tested

Types of changes

• Docs change / refactoring / dependency upgrade
• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds functionality)
• Breaking change (fix or feature that would cause existing functionality to change)

Checklist

• My code follows the code style of this project.
• My change requires a change to the documentation.
• I have updated the documentation accordingly.
• I have read the CONTRIBUTING document.
• I have added tests to cover my changes.
• All new and existing tests passed.

[codecov]

Codecov Report

❌ Patch coverage is 97.72727% with 1 line in your changes missing coverage. Please review.
✅ Project coverage is 99.24%. Comparing base (c12dca0) to head (232d356).

Files with missing lines	Patch %	Lines
lib.go	97.50%	1 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##           master    #2220      +/-   ##
==========================================
- Coverage   99.24%   99.24%   -0.01%     
==========================================
  Files          32       32              
  Lines       30761    30787      +26     
==========================================
+ Hits        30530    30555      +25     
- Misses        153      154       +1     
  Partials       78       78              

Flag	Coverage Δ
unittests	99.24% <97.72%> (-0.01%)	⬇️

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