[jishnub]

testinfoperator and testfunctional run their checks on the operator itself and again on converted copies. Each conversion recompiles the operator algebra for the new eltype. For 2D operators (Kronecker products, block-banded caches), that dominates compile time in the downstream PDE tests.

This PR:

• drops the Float32 and ComplexF32 conversions
• tests the conversion to ComplexF64 only for operators on 1D domains
• in testfunctional, re-tests at Float64 only if the operator isn't already Float64, as testinfoperator already did

Timing for ApproxFunOrthogonalPolynomials/test/PDETest.jl, run alone in a fresh session (Julia 1.13):

Testset	Before	After
Rectangle Laplace/Poisson	86 s	42 s
Schrodinger	56 s	46 s
Bilaplacian	32 s	16 s
Total	305 s (85% compilation), 3,495 tests	229 s, 1,669 tests

The test count falls because the removed conversions each re-ran the full set of checks.

Tested locally: the ApproxFunBase test suite and the ApproxFunOrthogonalPolynomials test suite both pass against this branch.

🤖 Generated with Claude Code

[codecov]

Codecov Report

❌ Patch coverage is 77.77778% with 2 lines in your changes missing coverage. Please review.
✅ Project coverage is 76.41%. Comparing base (023b1a4) to head (f9ea3f2).
⚠️ Report is 57 commits behind head on master.

Files with missing lines	Patch %	Lines
ext/ApproxFunBaseTestExt.jl	77.77%	2 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##           master     #709      +/-   ##
==========================================
+ Coverage   75.20%   76.41%   +1.21%     
==========================================
  Files          79       81       +2     
  Lines        8445     8752     +307     
==========================================
+ Hits         6351     6688     +337     
+ Misses       2094     2064      -30     

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