X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FCardinal.hs;h=3bff38f206c5983cb29ac9f80ef99275f6a88e4c;hb=c954154b379c5bd444d527298c33142fb150711b;hp=9bd8e1df933b592d877d2e1efe810b44d96092ac;hpb=00a4dc471c4dc1c48c6012cc897c37d14a2f1644;p=spline3.git diff --git a/src/Cardinal.hs b/src/Cardinal.hs index 9bd8e1d..3bff38f 100644 --- a/src/Cardinal.hs +++ b/src/Cardinal.hs @@ -6,7 +6,9 @@ module Cardinal where +import Control.Monad (liftM, liftM2) import Prelude hiding (LT) +import Test.QuickCheck (Arbitrary(..), oneof) data Cardinal = F -- ^ Front | B -- ^ Back @@ -68,6 +70,46 @@ instance Fractional Cardinal where fromRational x = Scalar (fromRational x) + +instance Arbitrary Cardinal where + arbitrary = oneof [f,b,l,r,d,t,fl,fr,fd,ft,bl,br,bd,bt,ld,lt, + rd,rt,fld,flt,frd,frt,bld,blt,brd,brt,i, + scalar,csum,cdiff,cprod,cquot] + where + f = return F + b = return B + l = return L + r = return R + d = return D + t = return T + fl = return FL + fr = return FR + fd = return FD + ft = return FT + bl = return BL + br = return BR + bd = return BD + bt = return BT + ld = return LD + lt = return LT + rd = return RD + rt = return RT + fld = return FLD + flt = return FLT + frd = return FRD + frt = return FRT + bld = return BLD + blt = return BLT + brd = return BRD + brt = return BRT + i = return I + scalar = liftM Scalar arbitrary + csum = liftM2 Sum arbitrary arbitrary + cdiff = liftM2 Difference arbitrary arbitrary + cprod = liftM2 Product arbitrary arbitrary + cquot = liftM2 Quotient arbitrary arbitrary + + -- | Rotate a cardinal direction counter-clockwise about the x-axis. ccwx :: Cardinal -> Cardinal ccwx F = F @@ -150,32 +192,32 @@ cwy = ccwy . ccwy . ccwy -- | Rotate a cardinal direction counter-clockwise about the z-axis. ccwz :: Cardinal -> Cardinal -ccwz F = L -ccwz B = R -ccwz L = B -ccwz R = F +ccwz F = R +ccwz B = L +ccwz L = F +ccwz R = B ccwz D = D ccwz T = T -ccwz FL = BL -ccwz FR = FL -ccwz FD = LD -ccwz FT = LT -ccwz BL = BR -ccwz BR = FR -ccwz BD = RD -ccwz BT = RT -ccwz LD = BD -ccwz LT = BT -ccwz RD = FD -ccwz RT = FT -ccwz FLD = BLD -ccwz FLT = BLT -ccwz FRD = FLD -ccwz FRT = FLT -ccwz BLD = BRD -ccwz BLT = BRT -ccwz BRD = FRD -ccwz BRT = FRT +ccwz FL = FR +ccwz FR = BR +ccwz FD = RD +ccwz FT = RT +ccwz BL = FL +ccwz BR = BL +ccwz BD = LD +ccwz BT = LT +ccwz LD = FD +ccwz LT = FT +ccwz RD = BD +ccwz RT = BT +ccwz FLD = FRD +ccwz FLT = FRT +ccwz FRD = BRD +ccwz FRT = BRT +ccwz BLD = FLD +ccwz BLT = FLT +ccwz BRD = BLD +ccwz BRT = BLT ccwz I = I ccwz (Scalar s) = (Scalar s) ccwz (Sum c0 c1) = Sum (ccwz c0) (ccwz c1)