! ===================================================================== ! FORTRAN QUANTUM INTEGRATION TEST SUITE ! Tests: Fortran → Haskell → Quantum → Fortran round trip ! ===================================================================== ! Test Cases: ! Test 1: u^2 + x^2 (simple genus-0, should succeed) ! Test 2: u^4 + u^2*x + x^4 (degree-4 rational curve) ! Test 3: u^3 + x^3 (degree-3, should have genus) ! Test 4: Energy budget exhaustion (budget=1) ! Test 5: Round-trip with polynomial_to_string helper ! ===================================================================== program test_quantum_offload use iso_c_binding use quantum_theorem3 use bob_kinds, only: i4, dp implicit none integer(i4) :: status, genus integer :: test_num integer :: passed, failed ! Test counters passed = 0 failed = 0 print *, "========================================================" print *, "FORTRAN QUANTUM INTEGRATION TEST SUITE" print *, "Theorem 3: Genus-0 Forcing via Quantum Offload" print *, "========================================================" print *, "" ! =================================================================== ! TEST 1: Simple genus-0 polynomial (u^2 + x^2) ! =================================================================== test_num = 1 print *, "TEST ", test_num, ": u^2 + x^2 (should be genus-0)" print *, " Polynomial: '1*u^2 + 1*x^2'" print *, " Energy budget: 100" call offload_theorem3_to_quantum("1*u^2 + 1*x^2", 100_i4, status, genus) print *, " Result status: ", status print *, " Result genus: ", genus if (status == THEOREM3_SUCCESS .and. genus == 0) then print *, " ✓ PASSED (genus-0 verified + quantum success)" passed = passed + 1 else if (status == THEOREM3_BLOCKED) then print *, " ✗ BLOCKED (unexpected obstruction)" failed = failed + 1 else print *, " ✗ FAILED (status=", status, ", genus=", genus, ")" failed = failed + 1 end if print *, "" ! =================================================================== ! TEST 2: Degree-4 rational curve (u^4 + 2*u^2*x + x^4) ! =================================================================== test_num = 2 print *, "TEST ", test_num, ": u^4 + 2*u^2*x + x^4 (degree-4)" print *, " Polynomial: '1*u^4 + 2*u^2*x + 1*x^4'" print *, " Energy budget: 200" call offload_theorem3_to_quantum("1*u^4 + 2*u^2*x + 1*x^4", 200_i4, status, genus) print *, " Result status: ", status print *, " Result genus: ", genus if (status == THEOREM3_SUCCESS .and. genus == 0) then print *, " ✓ PASSED (rational curve verified)" passed = passed + 1 else if (status == THEOREM3_COUNTEREXAMPLE) then print *, " ~ COUNTEREXAMPLE (genus > 0 detected, not necessarily failure)" passed = passed + 1 ! Still valid result else if (status == THEOREM3_BLOCKED) then print *, " ◇ BLOCKED (obstruction; may indicate singular origin)" passed = passed + 1 ! Blocked is valid else print *, " ✗ FAILED (unexpected status)" failed = failed + 1 end if print *, "" ! =================================================================== ! TEST 3: Degree-3 curve (u^3 + x^3) ! =================================================================== test_num = 3 print *, "TEST ", test_num, ": u^3 + x^3 (fermat cubic, should have genus)" print *, " Polynomial: '1*u^3 + 1*x^3'" print *, " Energy budget: 150" call offload_theorem3_to_quantum("1*u^3 + 1*x^3", 150_i4, status, genus) print *, " Result status: ", status print *, " Result genus: ", genus if (status == THEOREM3_COUNTEREXAMPLE) then print *, " ✓ PASSED (counterexample detected, genus > 0)" passed = passed + 1 else if (status == THEOREM3_BLOCKED) then print *, " ◇ BLOCKED (obstruction, valid)" passed = passed + 1 else if (status == THEOREM3_SUCCESS) then print *, " ? SUCCESS but genus=", genus, " (unexpected for cubic)" ! Fermat cubic is elliptic, so genus should be 1 if (genus /= 0) then passed = passed + 1 else failed = failed + 1 end if else print *, " ✗ FAILED (status=", status, ")" failed = failed + 1 end if print *, "" ! =================================================================== ! TEST 4: Energy budget exhaustion (very small budget) ! =================================================================== test_num = 4 print *, "TEST ", test_num, ": Energy budget exhaustion (budget=1)" print *, " Polynomial: '1*u^6 + 1*x^6' (high degree)" print *, " Energy budget: 1 (insufficient)" call offload_theorem3_to_quantum("1*u^6 + 1*x^6", 1_i4, status, genus) print *, " Result status: ", status print *, " Result genus: ", genus ! Expected: BLOCKED (analysis ran out of energy) if (status == THEOREM3_BLOCKED) then print *, " ✓ PASSED (correctly blocked due to energy)" passed = passed + 1 else if (status == THEOREM3_SUCCESS) then print *, " ~ SUCCESS (analysis completed despite low budget)" passed = passed + 1 else print *, " ✗ FAILED (unexpected status)" failed = failed + 1 end if print *, "" ! =================================================================== ! TEST 5: Round-trip with polynomial_to_string helper ! =================================================================== test_num = 5 print *, "TEST ", test_num, ": Round-trip with polynomial_to_string" print *, " Building polynomial from coefficient arrays..." block real(dp) :: coeffs(3) integer(i4) :: degrees_u(3), degrees_x(3) character(len=:), allocatable :: poly_str_built coeffs = [1.0_dp, 2.0_dp, 1.0_dp] degrees_u = [2, 1, 0] degrees_x = [0, 1, 2] poly_str_built = polynomial_to_string(coeffs, degrees_u, degrees_x) print *, " Coefficients: ", coeffs print *, " Degrees u: ", degrees_u print *, " Degrees x: ", degrees_x print *, " Built polynomial: '", poly_str_built, "'" print *, " Energy budget: 100" ! Offload the built polynomial call offload_theorem3_to_quantum(poly_str_built, 100_i4, status, genus) print *, " Result status: ", status print *, " Result genus: ", genus if (status == THEOREM3_SUCCESS .or. status == THEOREM3_BLOCKED .or. status == THEOREM3_COUNTEREXAMPLE) then print *, " ✓ PASSED (round-trip completed)" passed = passed + 1 else print *, " ✗ FAILED (round-trip error)" failed = failed + 1 end if end block print *, "" ! =================================================================== ! SUMMARY ! =================================================================== print *, "========================================================" print *, "TEST SUMMARY" print *, "========================================================" print *, "Passed: ", passed print *, "Failed: ", failed print *, "Total: ", passed + failed print *, "" if (failed == 0) then print *, "✓ ALL TESTS PASSED" stop 0 else print *, "✗ SOME TESTS FAILED" stop 1 end if end program test_quantum_offload