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53 lines
1.2 KiB
Idris
53 lines
1.2 KiB
Idris
import Data.Double
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-- negating positive inf (should give negative inf)
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negInf : Double
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negInf = negate inf
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-- dividing non-zero by zero tends to infinity
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divNZbyZero : Bool
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divNZbyZero = 1.0 / 0.0 == inf
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-- adding pos-inf to pos-inf gives pos-inf
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addPosInfs : Bool
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addPosInfs = inf + inf == inf
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-- subbing inf from neg-inf gives neg-inf
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subNegInfs : Bool
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subNegInfs = -inf - inf == -inf
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-- subtracting pos-inf from pos-inf is nan
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-- (can't use `==` because no nans are equal)
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subPosInf : Double
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subPosInf = inf - inf
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-- adding pos-inf to neg-inf is nan
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-- (can't use `==` because no nans are equal)
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addNegInf : Double
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addNegInf = -inf + inf
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-- neg-inf by neg-inf gives pos-inf
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squareNegInfIsPosInf : Bool
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squareNegInfIsPosInf = pow (-inf) 2 == inf
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-- pos-inf by pos-inf gives pos-inf
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squarePosInfIsPosInf : Bool
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squarePosInfIsPosInf = pow inf 2 == inf
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-- pos-inf by neg-inf is neg-inf
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multInfSignFlip : Bool
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multInfSignFlip = inf * (-inf) == -inf
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-- pos-inf is equal to some other pos-inf
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posInfIsPosInf : Bool
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posInfIsPosInf = inf == pow inf 2
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-- neg-inf is equal to some other neg-inf
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negInfIsNegInf : Bool
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negInfIsNegInf = -inf == pow (-inf) 3
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-- pos-inf is not neg-inf
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posInfEqNegInf : Bool
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posInfEqNegInf = inf == -inf
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