Make +,*,min,max support precise unary types.
Closes PR 13563. original commit: 6c2e75ac7e21b3c1adcc9a9f7eb0fff4223de65c
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@ -13,24 +13,24 @@
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(list -Zero -One -PosByte -Byte -PosIndex -Index
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-PosFixnum -NonNegFixnum -NegFixnum -NonPosFixnum -Fixnum
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-PosInt -Nat -NegInt -NonPosInt -Int))
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(define all-rat-types
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(append all-int-types
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(list -PosRat -NonNegRat -NegRat -NonPosRat -Rat)))
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(define rat-types (list -PosRat -NonNegRat -NegRat -NonPosRat -Rat))
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(define all-rat-types (append all-int-types rat-types))
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(define all-flonum-types
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(list -FlonumPosZero -FlonumNegZero -FlonumZero -FlonumNan
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-PosFlonum -NonNegFlonum -NegFlonum -NonPosFlonum -Flonum))
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(define all-float-types
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(append all-flonum-types
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(list -SingleFlonumPosZero -SingleFlonumNegZero -SingleFlonumZero -SingleFlonumNan
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-PosSingleFlonum -NonNegSingleFlonum -NegSingleFlonum -NonPosSingleFlonum -SingleFlonum
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-InexactRealPosZero -InexactRealNegZero -InexactRealZero -InexactRealNan
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-PosInexactReal -NonNegInexactReal -NegInexactReal -NonPosInexactReal -InexactReal)))
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(define all-real-types
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(append all-rat-types all-float-types
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(list -RealZero -PosReal -NonNegReal -NegReal -NonPosReal -Real)))
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(define all-number-types
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(append all-real-types
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(list -ExactNumber -FloatComplex -SingleFlonumComplex -InexactComplex -Number)))
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(define single-flonum-types
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(list -SingleFlonumPosZero -SingleFlonumNegZero -SingleFlonumZero -SingleFlonumNan
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-PosSingleFlonum -NonNegSingleFlonum -NegSingleFlonum -NonPosSingleFlonum -SingleFlonum))
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(define inexact-real-types
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(list -InexactRealPosZero -InexactRealNegZero -InexactRealZero -InexactRealNan
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-PosInexactReal -NonNegInexactReal -NegInexactReal -NonPosInexactReal -InexactReal))
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(define all-float-types (append all-flonum-types single-flonum-types inexact-real-types))
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(define real-types (list -RealZero -PosReal -NonNegReal -NegReal -NonPosReal -Real))
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(define all-real-types (append all-rat-types all-float-types real-types))
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(define number-types
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(list -ExactNumber -FloatComplex -SingleFlonumComplex -InexactComplex -Number))
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(define all-number-types (append all-real-types number-types))
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;; convenient to build large case-lambda types
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@ -1050,6 +1050,7 @@
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(-> -Byte -Byte -Index)
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(-> -PosByte -PosByte -PosByte -PosFixnum)
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(-> -Byte -Byte -Byte -NonNegFixnum)
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(map unop all-int-types)
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(varop -PosInt)
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(varop -Nat)
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(-> -NegInt -NegInt)
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@ -1069,12 +1070,11 @@
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(commutative-binop -NonPosRat -NonNegRat -NonPosRat)
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(-> -NegRat -NegRat -NegRat -NegRat)
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(-> -NonPosRat -NonPosRat -NonPosRat -NonPosRat)
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(map unop rat-types)
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(varop -Rat)
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(varop-1+ -FlonumZero)
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; no pos * -> pos, possible underflow
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(varop-1+ -NonNegFlonum)
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(-> -NegFlonum -NegFlonum)
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(-> -NonPosFlonum -NonPosFlonum)
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;; can't do NonPos NonPos -> NonNeg: (* -1.0 0.0) -> NonPos!
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(-> -NegFlonum -NegFlonum -NonNegFlonum) ; possible underflow, so no neg neg -> pos
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(-> -NegFlonum -NegFlonum -NegFlonum -NonPosFlonum) ; see above
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@ -1082,26 +1082,24 @@
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;; (* <float> 0) is exact 0 (i.e. not a float)
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(commutative-case -NonNegFlonum -PosReal) ; real args don't include 0
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(commutative-case -Flonum (Un -PosReal -NegReal) -Flonum)
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(map unop all-flonum-types)
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(map varop-1+ (list -Flonum -SingleFlonumZero -NonNegSingleFlonum))
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;; we could add contagion rules for negatives, but we haven't for now
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(-> -NegSingleFlonum -NegSingleFlonum)
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(-> -NonPosSingleFlonum -NonPosSingleFlonum)
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(-> -NegSingleFlonum -NegSingleFlonum -NonNegSingleFlonum) ; possible underflow, so no neg neg -> pos
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(-> -NegSingleFlonum -NegSingleFlonum -NegSingleFlonum -NonPosSingleFlonum)
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(commutative-case -NonNegSingleFlonum (Un -PosRat -NonNegSingleFlonum))
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(commutative-case -SingleFlonum (Un -PosRat -NegRat -SingleFlonum) -SingleFlonum)
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(map unop single-flonum-types)
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(map varop-1+ (list -SingleFlonum -InexactRealZero -NonNegInexactReal))
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(-> -NegInexactReal -NegInexactReal)
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(-> -NonPosInexactReal -NonPosInexactReal)
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(-> -NegInexactReal -NegInexactReal -NonNegInexactReal)
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(-> -NegInexactReal -NegInexactReal -NegInexactReal -NonPosInexactReal)
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(commutative-case -NonNegInexactReal (Un -PosRat -NonNegInexactReal))
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(commutative-case -InexactReal (Un -PosRat -NegRat -InexactReal) -InexactReal)
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(map unop inexact-real-types)
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(varop-1+ -InexactReal)
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;; reals
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(map unop real-types)
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(varop -NonNegReal) ; (* +inf.0 0.0) -> +nan.0
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(-> -NegReal -NegReal)
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(-> -NonPosReal -NonPosReal)
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(-> -NegReal -NegReal -NonNegReal)
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(commutative-binop -NegReal -PosReal -NonPosReal)
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(-> -NegReal -NegReal -NegReal -NonPosReal)
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@ -1110,6 +1108,7 @@
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(commutative-case -FloatComplex (Un -InexactComplex -InexactReal -PosRat -NegRat) -FloatComplex)
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(commutative-case -SingleFlonumComplex (Un -SingleFlonumComplex -SingleFlonum -PosRat -NegRat) -SingleFlonumComplex)
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(commutative-case -InexactComplex (Un -InexactComplex -InexactReal -PosRat -NegRat) -InexactComplex)
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(map unop number-types)
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(varop N))]
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[+ (from-cases
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(-> -Zero)
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@ -1131,9 +1130,11 @@
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(commutative-binop -NonPosFixnum -NonNegFixnum -Fixnum)
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(commutative-case -PosInt -Nat -PosInt)
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(commutative-case -NegInt -NonPosInt -NegInt)
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(map unop all-int-types)
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(map varop (list -Nat -NonPosInt -Int))
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(commutative-case -PosRat -NonNegRat -PosRat)
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(commutative-case -NegRat -NonPosRat -NegRat)
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(map unop rat-types)
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(map varop (list -NonNegRat -NonPosRat -Rat))
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;; flonum + real -> flonum
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(commutative-case -PosFlonum -NonNegReal -PosFlonum)
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@ -1143,6 +1144,7 @@
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(commutative-case -NonNegFlonum -NonNegReal -NonNegFlonum)
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(commutative-case -NonPosFlonum -NonPosReal -NonPosFlonum)
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(commutative-case -Flonum -Real -Flonum)
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(map unop all-flonum-types)
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(varop-1+ -Flonum)
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;; single-flonum + rat -> single-flonum
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(commutative-case -PosSingleFlonum (Un -NonNegRat -NonNegSingleFlonum) -PosSingleFlonum)
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@ -1152,6 +1154,7 @@
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(commutative-case -NonNegSingleFlonum (Un -NonNegRat -NonNegSingleFlonum) -NonNegSingleFlonum)
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(commutative-case -NonPosSingleFlonum (Un -NonPosRat -NonPosSingleFlonum) -NonPosSingleFlonum)
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(commutative-case -SingleFlonum (Un -Rat -SingleFlonum) -SingleFlonum)
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(map unop single-flonum-types)
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(varop-1+ -SingleFlonum)
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;; inexact-real + real -> inexact-real
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(commutative-case -PosInexactReal -NonNegReal -PosInexactReal)
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@ -1161,15 +1164,18 @@
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(commutative-case -NonNegInexactReal -NonNegReal -NonNegInexactReal)
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(commutative-case -NonPosInexactReal -NonPosReal -NonPosInexactReal)
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(commutative-case -InexactReal -Real -InexactReal)
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(map unop inexact-real-types)
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;; real
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(commutative-case -PosReal -NonNegReal -PosReal)
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(commutative-case -NegReal -NonPosReal -NegReal)
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(map unop real-types)
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(map varop (list -NonNegReal -NonPosReal -Real -ExactNumber))
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;; complex
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(commutative-case -FloatComplex N -FloatComplex)
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(commutative-case -Flonum -InexactComplex -FloatComplex)
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(commutative-case -SingleFlonumComplex (Un -Rat -SingleFlonum -SingleFlonumComplex) -SingleFlonumComplex)
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(commutative-case -InexactComplex (Un -Rat -InexactReal -InexactComplex) -InexactComplex)
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(map unop number-types)
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(varop N))]
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[- (from-cases
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@ -1283,23 +1289,24 @@
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(commutative-case -PosIndex -Index)
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(commutative-case -PosFixnum -Fixnum)
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(commutative-case -NonNegFixnum -Fixnum)
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(map varop (list -NegFixnum -NonPosFixnum -Fixnum))
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(map varop (list -NegFixnum -NonPosFixnum -PosFixnum -NonNegFixnum -Fixnum))
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(commutative-case -PosInt -Int)
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(commutative-case -Nat -Int)
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(map varop (list -NegInt -NonPosInt -Int))
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(map varop (list -NegInt -NonPosInt -PosInt -Nat -Int))
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;; we could have more cases here. for instance, when mixing PosInt
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;; and NegRats, we get a result of type PosInt (not just PosRat)
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;; there's a lot of these, but they may not be worth including
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(commutative-case -PosRat -Rat)
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(commutative-case -NonNegRat -Rat)
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(map varop (list -NegRat -NonPosRat -Rat
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(map varop (list -NegRat -NonPosRat -PosRat -NonNegRat -Rat
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-FlonumPosZero -FlonumNegZero -FlonumZero))
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;; inexactness is contagious: (max 3 2.3) => 3.0
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;; we could add cases to encode that
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(commutative-case -PosFlonum -Flonum)
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(commutative-case -NonNegFlonum -Flonum)
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(map varop (list -NegFlonum -NonPosFlonum -Flonum
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(map varop (list -NegFlonum -NonPosFlonum -PosFlonum -NonNegFlonum -Flonum
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-SingleFlonumPosZero -SingleFlonumNegZero -SingleFlonumZero))
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(varop -PosSingleFlonum)
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(commutative-case -PosSingleFlonum -SingleFlonum)
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(varop -NonNegSingleFlonum)
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(commutative-case -NonNegSingleFlonum -SingleFlonum)
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@ -1307,43 +1314,43 @@
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-InexactRealPosZero -InexactRealNegZero -InexactRealZero))
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(commutative-case -PosInexactReal -InexactReal)
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(commutative-case -NonNegInexactReal -InexactReal)
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(map varop (list -NegInexactReal -NonPosInexactReal -InexactReal
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-RealZero))
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(map varop (list -NegInexactReal -NonPosInexactReal -PosInexactReal -NonNegInexactReal
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-InexactReal -RealZero))
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(commutative-case -PosReal -Real)
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(commutative-case -NonNegReal -Real)
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(map varop (list -NegReal -NonPosReal -Real)))]
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(map varop (list -NegReal -NonPosReal -PosReal -NonNegReal -Real)))]
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[min
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(from-cases (map varop (list -Zero -One))
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(commutative-case -Zero -One)
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(map varop (list -PosByte -Byte -PosIndex -Index -PosFixnum -NonNegFixnum))
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(commutative-case -NegFixnum -Fixnum)
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(commutative-case -NonPosFixnum -Fixnum)
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(map varop (list -Fixnum -PosInt -Nat))
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(map varop (list -NegFixnum -NonPosFixnum -Fixnum -PosInt -Nat))
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(commutative-case -NegInt -Int)
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(commutative-case -NonPosInt -Int)
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(map varop (list -Int -PosRat -NonNegRat))
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(map varop (list -NegInt -NonPosInt -Int -PosRat -NonNegRat))
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(commutative-case -NegRat -Rat)
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(commutative-case -NonPosRat -Rat)
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(map varop (list -Rat
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(map varop (list -NegRat -NonPosRat -Rat
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-FlonumPosZero -FlonumNegZero -FlonumZero
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-PosFlonum -NonNegFlonum))
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(commutative-case -NegFlonum -Flonum)
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(commutative-case -NonPosFlonum -Flonum)
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(map varop (list -Flonum
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(map varop (list -NegFlonum -NonPosFlonum -Flonum
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-SingleFlonumPosZero -SingleFlonumNegZero -SingleFlonumZero
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-PosSingleFlonum -NonNegSingleFlonum))
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(commutative-case -NegSingleFlonum -SingleFlonum)
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(commutative-case -NonPosSingleFlonum -SingleFlonum)
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(map varop (list -SingleFlonum
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(map varop (list -NegSingleFlonum -NonPosSingleFlonum -SingleFlonum
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-InexactRealPosZero -InexactRealNegZero -InexactRealZero
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-PosInexactReal -NonNegInexactReal))
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(commutative-case -NegInexactReal -InexactReal)
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(commutative-case -NonPosInexactReal -InexactReal)
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(map varop (list -InexactReal
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(map varop (list -NegInexactReal -NonPosInexactReal -InexactReal
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-RealZero -PosReal -NonNegReal))
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(commutative-case -NegReal -Real)
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(commutative-case -NonPosReal -Real)
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(varop -Real))]
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(map varop (list -NegReal -NonPosReal -Real)))]
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[add1 (from-cases
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(-> -Zero -One)
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