stillwater-sc / universal / 23722088665
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feat(ucalc): posit-specific steps visualization (#676)

* feat(ucalc): posit-specific steps visualization (#653)

Add posit-specific step-by-step arithmetic decomposition showing:
1. Decode regime: run-length encoding (k value), regime bit pattern
2. Decode exponent: es-bit exponent value
3. Compute scale: useed^k * 2^exponent
4. Extract fraction: remaining bits (shrinks away from 1.0)
5. Align scales / operate on fractions
6. Re-encode regime: new k from result scale
7. Round fraction to fit available bits

The educational value: students see how the regime encoding trades
precision for range. Near 1.0 (k=0), regime uses only 2 bits leaving
maximum fraction bits. At extremes (k=3), regime uses 5 bits, leaving
few fraction bits -- the tapered precision tradeoff.

Detects posit types by type_tag prefix. Extracts es parameter from
the type_tag string. Falls back to IEEE decomposition for div.

Resolves #653

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

* fix(ucalc): correct scale notation in posit multiply steps

The step label said 'Add scales' with '2^a + 2^b' notation, implying
addition of powers. Corrected to 'Add exponents (multiply scales)'
with '2^a * 2^b = 2^(a+b)' showing that exponents add when
multiplying powers.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

---------

Co-authored-by: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

44585 of 52858 relevant lines covered (84.35%)

6105552.84 hits per line

Coverage Regressions

Lines Coverage ∆ File
1
81.25
 0.45% include/sw/universal/number/posit1/specialized/posit_16_1.hpp
Jobs
ID Job ID Ran Files Coverage
1 23722088665.1 630
84.35
 GitHub Action Run
Source Files on build 23722088665