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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 | {-# LANGUAGE ForeignFunctionInterface #-}
{-# LANGUAGE StrictData #-}
-- =====================================================================
-- QUANTUM FORTRAN BRIDGE
-- Fortran ↔ Haskell FFI for Theorem 3 Offload
-- Marshals polynomial strings + energy budgets between Fortran and Haskell
-- Returns genus proof status to calling Fortran subroutine
-- =====================================================================
module LiquidLean.Jacobian.QuantumFortranBridge
( haskell_theorem3_offload
) where
import Foreign.C
import Foreign.Ptr
import System.IO.Unsafe (unsafePerformIO)
import Control.Monad.State.Strict (runState)
import Data.Ratio ((%))
import LiquidLean.Jacobian.Theorem3Entry
( theorem3EnforceGenusZero
, Theorem3Evidence(..)
, Theorem3Status(..)
)
import LiquidLean.Jacobian.Theorem3Kernel
( Polynomial
, Thermal(..)
, Energy(..)
, fromTerms
, zeroPoly
, onePoly
)
import LiquidLean.Jacobian.QuantumChipInterface (ibm_verify_genus_zero)
-- =====================================================================
-- FORTRAN → HASKELL C FFI EXPORT
-- =====================================================================
{-|
Foreign export: theorem3 offload from Fortran supercomputer.
Signature (as seen from Fortran):
integer(c_int) function haskell_theorem3_offload(poly_str, energy_budget) bind(C)
character(kind=c_char) :: poly_str(*)
integer(c_int), value :: energy_budget
end function
Returns:
0 = genus-0 proved (rational curve) ✓
1 = analysis blocked (obstruction hit)
2 = higher genus found (counterexample to Theorem 3)
3 = parse error (bad polynomial string)
4 = quantum verification failed
Energy accounting:
Each call tracks energy spent in Mora + singularity analysis.
Budget measured in φ⁻¹ discretized units.
-}
foreign export ccall haskell_theorem3_offload
:: CString -> CInt -> IO CInt
haskell_theorem3_offload :: CString -> CInt -> IO CInt
haskell_theorem3_offload polyStrPtr energyBudgetC = do
-- Marshal C string to Haskell
polyStr <- peekCString polyStrPtr
let energyBudget = fromIntegral energyBudgetC :: Integer
-- Parse polynomial from string
case parsePolynomialString polyStr of
Left _err -> return 3 -- Parse error
Right poly -> do
-- Run theorem3 kernel with energy budget
let evidence = theorem3EnforceGenusZero poly energyBudget
case evidence of
Left _obstruction ->
-- Hit an obstruction (singular point, degeneracy, etc.)
return 1
Right ev -> do
-- Successful analysis; check status
case evStatus ev of
GenusZeroProved _ -> do
-- Genus = 0 verified; route to quantum chip for witness
let genus = evGenusBound ev
quantumOk <- ibm_verify_genus_zero genus
if quantumOk
then return 0 -- Success: genus-0 + quantum verified
else return 4 -- Quantum rejection
CounterexampleFound _ g -> do
-- Genus > 0 detected (potential counterexample)
return 2
AnalysisBlocked _ ->
-- Obstruction (should have been caught above, but safety check)
return 1
-- =====================================================================
-- POLYNOMIAL PARSER: String → Polynomial
-- =====================================================================
{-|
Parse polynomial string from Fortran: "c1*u^d1*x^e1 + c2*u^d2*x^e2 + ..."
Examples:
"1*u^2 + 1*x^2" → u² + x²
"2*u*x + 3*x^2" → 2ux + 3x²
"1" → constant polynomial 1
"u^3 + x^3" → u³ + x³
Whitespace is stripped; signs (+/-) are parsed.
-}
parsePolynomialString :: String -> Either String Polynomial
parsePolynomialString str
| all (\c -> c `elem` " \t\n") str = Right zeroPoly -- Empty = zero polynomial
| otherwise = do
terms <- parseTermsList (filter (/= ' ') str)
if null terms
then Right zeroPoly
else Right (fromTerms terms)
parseTermsList :: String -> Either String [(Int, Int, Rational)]
parseTermsList str = go str []
where
go [] acc = Right (reverse acc)
go s acc = do
(term, rest) <- parseTerm s
case rest of
[] -> Right (reverse (term : acc))
('+':s') -> go s' (term : acc)
('-':s') ->
-- Negate next term's coefficient
case parseTerm s' of
Right (u, x, c, s'') -> go s'' ((u, x, negate c) : (term : acc))
Left e -> Left e
_ -> Left "Invalid polynomial format"
-- Parse single term: "c*u^d*x^e" or variants
parseTerm :: String -> Either String ((Int, Int, Rational), String)
parseTerm str =
case parseCoeff str of
Left e -> Left e
Right (c, rest) -> do
(u, rest') <- parseVarPower 'u' rest
(x, rest'') <- parseVarPower 'x' rest'
return ((u, x, c), rest'')
-- Parse coefficient (before '*u' or '*x', or at start)
parseCoeff :: String -> Either String (Rational, String)
parseCoeff str = go str "" False
where
go [] acc _ = if null acc
then Right (1, "") -- No coefficient = 1
else case reads acc of
[(n, "")] -> Right (fromInteger n, "")
_ -> Left ("Bad coefficient: " ++ acc)
go ('*':rest) acc _ =
case reads acc of
[(n, "")] -> Right (fromInteger n, rest)
_ -> if null acc then Right (1, rest) else Left ("Bad coefficient: " ++ acc)
go (c:rest) acc _ = go rest (acc ++ [c]) False
-- Parse variable with power: "u^3" or just "u" (power 1)
parseVarPower :: Char -> String -> Either String (Int, String)
parseVarPower var str
| null str = Right (0, str) -- No variable present
| head str /= var = Right (0, str) -- Variable not present
| otherwise = case drop 1 str of
('^':rest) ->
case reads rest of
[(p, rest')] -> Right (p, rest')
_ -> Left ("Bad exponent for " ++ [var])
rest -> Right (1, rest) -- No power = power 1
-- =====================================================================
-- IBM QUANTUM MOCK (Tested separately in QuantumChipInterface)
-- =====================================================================
-- The actual quantum verification is in QuantumChipInterface.hs
-- This module marshals the Fortran call to that interface.
|