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solver: break board dihedral symmetry

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Constrain the unique unit square to a closed D4 fundamental region once its placement is known. This preserves one representative of every board-orientation orbit without assigning identities to repeated squares.

Keep a symmetry-disabled benchmark path, document the proof and measurements, and cover generic, diagonal, midline, corner, and centre orbits.

Tests: Release, Debug, ASan, and UBSan CTest (11 passed each)

Refs: #3
This commit was merged in pull request #25.
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2026-07-30 18:18:45 +01:00
parent 74bde266d0
commit f37e08768d
7 changed files with 284 additions and 28 deletions
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CMakeLists.txt
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@@ -25,6 +25,7 @@ if(BUILD_TESTING)
add_test(NAME solver-completion COMMAND partridge_tests solver-completion)
add_test(NAME search-counters COMMAND partridge_tests search-counters)
add_test(NAME skyline-search COMMAND partridge_tests skyline-search)
add_test(NAME d4-symmetry COMMAND partridge_tests d4-symmetry)
find_package(Python3 COMPONENTS Interpreter)
if(Python3_Interpreter_FOUND)
add_test(NAME benchmark-format