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32 lines
441 B
Idris
32 lines
441 B
Idris
import Data.Fin
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%default total
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data ZeroOneOmega = Zero | One | Omega
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Num ZeroOneOmega where
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Zero + a = a
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a + Zero = a
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One + a = Omega
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a + One = Omega
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Omega + Omega = Omega
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Zero * _ = Zero
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_ * Zero = Zero
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One * a = a
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a * One = a
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Omega * Omega = Omega
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fromInteger 0 = Zero
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fromInteger 1 = One
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fromInteger _ = Omega
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test1 : ZeroOneOmega
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test1 = 0
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test2 : ZeroOneOmega
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test2 = 1
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test3 : ZeroOneOmega
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test3 = 8
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