File size: 7,179 Bytes
9425aed | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 | ! =====================================================================
! 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
|