tabular-pinned@v1 + calculus-limit@v1 + calculus-series@v1 +
linear-algebra@v1 + function-sampled@v1 — all reserved stubs
graduated; the π* registry is now 15 concrete kernels with no
remaining reserved-stub entries.
#000030 Phase 4 — calculus-limit@v1
====================================
sp.limit with thread-timeout. One-sided dir support (+/-/+-).
Pinned spelling for infinity cases: b"+oo" / b"-oo" / b"zoo"
(complex infinity) — bypasses sp.expand since Infinity isn't
algebraic. Finite results re-canonicalize through algebra-symbolic
recipe (sp.expand + sp.srepr). Unevaluated cases / timeouts emit
b"unevaluated:" + sp.srepr(<Limit>) sentinel, mirroring
calculus-integral's pattern.
#000030 Phase 5 — calculus-series@v1
=====================================
sp.series(f, x, x0, n).removeO() → sp.expand → sp.srepr. Drops
O(x**n) remainder explicitly so the canonical form is finite-byte.
Sentinel format mirrors limit/integral: b"unevaluated:Series(...)"
on timeout. n must be a positive int; 0 / float / negative rejected.
#000030 Phase 6 — linear-algebra@v1
====================================
Single π* covers the whole linear-algebra surface via {op, matrix}
JSON. Ops: rref / det / eigenvalues / inverse. Matrix cells go
through Fraction(Decimal(str(...))) for floats so 1, 1.0, "1.0"
all collapse to Rational(1, 1) — matching arithmetic@v1's
discipline. Without this fold, sp.sympify keeps floats as Float
(separate type) and downstream det/inverse return Float-shaped
bytes. Eigenvalues are sorted by srepr for determinism.
Output formats:
rref / inverse: rows/cols header + cells joined by | (rows by ||)
det: det:<num/den-or-srepr>
eigenvalues: eigenvalues:<value-1>x<mult-1>|...
#000030 Phase 7 — function-sampled@v1
======================================
Bridge to time-series-quantized@v1. SymPy expression + linspace
grid → quantized integer-vector signature in time-series's exact
output format (dt=...;dv=...;n=...;t0=0:v0|v1|...). Two functions
that render identically (within sample-grid tolerance) collapse
to the same canonical bytes. This is what plotting CAN become
in π* terms — the PNG render is a downstream view of the same
canonical evidence.
Math-only sampler (no numpy in the dep surface); Python's round()
is banker's-rounding so the bytes are interchangeable with
time-series-quantized@v1's output. Complex / non-finite samples
raise PiStarError rather than silently dropping imaginary parts.
tabular-pinned@v1 — last reserved stub graduates
=================================================
JSON-rows input ({schema, key_columns, rows}); declared
key_columns sort policy (stable sort by primary-key tuple);
type-fold per column (int/rational/bool through arithmetic@v1
discipline; str verbatim; bool normalized). Header case is
PINNED EXACT — Excel and PostgreSQL both care about case;
defaulting to lowercase-fold would break operator expectations.
Output: header (schema + key + n) + rows joined by \n + cells by |.
The π* registry has no remaining reserved stubs. Every modality
the substrate paper reserved is now real.
Test suite: 1568 passed (was 1467; +101). New closure-criterion
test (test_no_stub_pi_stars_remain) replaces the old reserved-stub
parametrize — adding a future stub re-opens this list.
110/110 fixtures pass across the 5 new bench-5s-* targets.
PHASE_1_CARRIERS gained calculus / linear-algebra / function-sampled
/ tabular.
russell@unturf.com
abe5988bef