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Silly instances.
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| {-# language LambdaCase #-} | |
| -- Note: this is just the GF(2) field. | |
| instance Num Bool where | |
| (+) = (/=) -- XOR | |
| (*) = (&&) | |
| abs = id | |
| signum = id | |
| fromInteger = (/= 0) . (`mod` 2) | |
| negate = id | |
| (-) = (/=) | |
| instance Real Bool where | |
| toRational = \case True -> 1; False -> 0 | |
| instance Integral Bool where | |
| quotRem = (,) -- whatever | |
| toInteger = \case True -> 1; False -> 0 |
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