Add some tests for LcmInt

gap-system · Dec 17, 2017 · 531edb4 · 531edb4
1 parent 02f1dac
commit 531edb4
Showing 1 changed file with 45 additions and 0 deletions.
diff --git a/tst/testinstall/intarith.tst b/tst/testinstall/intarith.tst
@@ -444,6 +444,51 @@ gap> GcdInt(-2^60, -2^60);
 gap> GcdInt(-2^28, -2^28);
 268435456
 
+#
+# LcmInt
+#
+gap> List(dataNonZero, x -> LcmInt(bigNeg, x));
+[ 10000000000000000000100000000000000000000, 100000000000000000000, 
+ 100000000000000000000, 100000000000000000000, 100000000000000000000, 
+ 100000000000000000000, 100000000000000000000, 
+ 10000000000000000000100000000000000000000 ]
+gap> List(dataNonZero, x -> LcmInt(smlNeg, x));
+[ 1000000000000000000010000, 100000000000000000000, 10000, 10000, 10000, 
+ 10000, 100000000000000000000, 1000000000000000000010000 ]
+gap> List(dataNonZero, x -> LcmInt(smlPos, x));
+[ 1000000000000000000010000, 100000000000000000000, 10000, 10000, 10000, 
+ 10000, 100000000000000000000, 1000000000000000000010000 ]
+gap> List(dataNonZero, x -> LcmInt(bigPos, x));
+[ 10000000000000000000100000000000000000000, 100000000000000000000, 
+ 100000000000000000000, 100000000000000000000, 100000000000000000000, 
+ 100000000000000000000, 100000000000000000000, 
+ 10000000000000000000100000000000000000000 ]
+
+#
+gap> g:=3^10*257;; a:=g*991;; b:=g*1601;;
+gap> LcmInt(2^20*a, 2^30*b) = 2^30*3^10*257*991*1601;
+true
+gap> LcmInt(2^80*a, 2^40*b) = 2^80*3^10*257*991*1601;
+true
+gap> LcmInt(2^80*a, 2^90*b) = 2^90*3^10*257*991*1601;
+true
+
+# check symmetry
+gap> ForAll(data, x -> ForAll(data, y -> LcmInt(x,y) = LcmInt(y,x)));
+true
+
+#
+gap> LcmInt(fail,1);
+Error, LcmInt: <left> must be an integer (not a boolean or fail)
+gap> LcmInt(1,fail);
+Error, LcmInt: <right> must be an integer (not a boolean or fail)
+
+# corner cases
+gap> LcmInt(-2^60, -2^60);
+1152921504606846976
+gap> LcmInt(-2^28, -2^28);
+268435456
+
 #
 # AInvInt
 #