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authorCamil Staps2015-02-09 20:22:32 +0100
committerCamil Staps2015-02-09 20:22:32 +0100
commite89ef72aac916bc66f08be5563d334123cc1d4c5 (patch)
treef6b41bf2ce4e4c64e9ea9ac412af32e5aeb10b7c /week2/camil/TupleOverloading.icl
parentadded practicum files, updated gitignore (diff)
week 2 camil
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+implementation module TupleOverloading
+
+import StdEnv
+
+instance + (a,b) | + a & + b where
+ + (a,b) (c,d) = (a+c,b+d)
+instance + (a,b,c) | + a & + b & + c where
+ + (a,b,c) (d,e,f) = (a+d,b+e,c+f)
+
+instance - (a,b) | - a & - b where
+ - (a,b) (c,d) = (a-c,b-d)
+instance - (a,b,c) | - a & - b & - c where
+ - (a,b,c) (d,e,f) = (a-d,b-e,c-f)
+
+instance * (a,b) | * a & * b where
+ * (a,b) (c,d) = (a*c,b*d)
+instance * (a,b,c) | * a & * b & * c where
+ * (a,b,c) (d,e,f) = (a*d,b*e,c*f)
+
+instance / (a,b) | / a & / b where
+ / (a,b) (c,d) = (a/c,b/d)
+instance / (a,b,c) | / a & / b & / c where
+ / (a,b,c) (d,e,f) = (a/d,b/e,c/f)
+
+instance zero (a,b) | zero a & zero b where
+ zero = (zero, zero)
+instance zero (a,b,c) | zero a & zero b & zero c where
+ zero = (zero, zero, zero)
+
+instance one (a,b) | one a & one b where
+ one = (one, one)
+instance one (a,b,c) | one a & one b & one c where
+ one = (one, one, one)
+
+instance ~ (a,b) | ~ a & ~ b where
+ ~ (a,b) = (~ a, ~ b)
+instance ~ (a,b,c) | ~ a & ~ b & ~ c where
+ ~ (a,b,c) = (~ a, ~ b, ~ c)
+
+Start = (test (1,2), test (1,2,3))
+
+test a = ( zero + a == a && a == a + zero
+ , a - zero == a && a == ~ (zero - a)
+ , one * a == a && a == a * one
+ , zero * a == zero && zero == a * zero
+ , a / one == a
+ , ~ (~ a) == a
+ )