GCD: Unterschied zwischen den Versionen
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=== Syntax === | === Syntax === | ||
gcd( | gcd([[Ganzzahl]] zahl1, [[Ganzzahl]] zahl2) | ||
=== Parameter === | === Parameter === |
Version vom 4. Oktober 2017, 16:30 Uhr
Beschreibung
Die Funktion gcd berechnet den größten gemeinsamen Teiler zweier ganzer Zahlen. Die Funktion erwartet zwei Zahlen und gibt eine Zahl zurück.
Syntax
gcd(Ganzzahl zahl1, Ganzzahl zahl2)
Parameter
- zahl1 - erste Zahl aus der Menge der ganzen Zahlen
- zahl2 - zweite Zahl aus der Menge der ganzen Zahlen
Return Value
- Gibt eine Ganzzahl zurück
Beispiele
Standardfälle
gcd('5','20') --> returns 5 gcd('-5','0') --> returns 5
JUnit Tests
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@BeforeClass
public static void beforeTest() {
fillInVariableMap.put(1, OMConverter.toObject("<OMOBJ><OMI>0</OMI></OMOBJ>"));
fillInVariableMap.put(2, OMConverter.toObject("<OMOBJ><OMI>20</OMI></OMOBJ>"));
fillInVariableMap.put(3, OMConverter.toObject("<OMOBJ><OMI>10</OMI></OMOBJ>"));
fillInVariableMap.put(4, OMConverter.toObject("<OMOBJ><OMI>-5</OMI></OMOBJ>"));
fillInVariableMap.put(5, OMConverter.toObject("<OMOBJ><OMI>5</OMI></OMOBJ>"));
exerciseVariableMap.put("a", OMConverter.toObject("<OMOBJ><OMI>0</OMI></OMOBJ>"));
exerciseVariableMap.put("b", OMConverter.toObject("<OMOBJ><OMI>20</OMI></OMOBJ>"));
exerciseVariableMap.put("c", OMConverter.toObject("<OMOBJ><OMI>10</OMI></OMOBJ>"));
exerciseVariableMap.put("d", OMConverter.toObject("<OMOBJ><OMI>-5</OMI></OMOBJ>"));
exerciseVariableMap.put("e", OMConverter.toObject("<OMOBJ><OMI>5</OMI></OMOBJ>"));
}
@Test
public void testGCD1() {
assertEquals(5, Evaluator.getNumberResult("gcd('5', '5')", exerciseVariableMap, fillInVariableMap), 0.0);
}
@Test
public void testGCD2() {
assertEquals(3, Evaluator.getNumberResult("gcd('3', '-9')", exerciseVariableMap, fillInVariableMap), 0.0);
}
@Test
public void testGCD3() {
assertEquals(3, Evaluator.getNumberResult("gcd('-3', '9')", exerciseVariableMap, fillInVariableMap), 0.0);
}
@Test
public void testGCD4() {
assertEquals(5, Evaluator.getNumberResult("gcd('-5', '-5')", exerciseVariableMap, fillInVariableMap), 0.0);
}
@Test
public void testGCD5() {
assertNotEquals(5, Evaluator.getNumberResult("gcd('5', '9')", exerciseVariableMap, fillInVariableMap), 0.0);
}
@Test
public void testGCD6() {
assertNotEquals(3, Evaluator.getNumberResult("gcd('-3', '7')", exerciseVariableMap, fillInVariableMap), 0.0);
}
@Test
public void testGCDAtDefinition1() {
assertEquals(55, Evaluator.getNumberResult("gcd('0', '55')", exerciseVariableMap, fillInVariableMap), 0.0);
}
@Test
public void testGCDAtDefinition2() {
assertEquals(11, Evaluator.getNumberResult("gcd('-11', '0')", exerciseVariableMap, fillInVariableMap), 0.0);
}
@Test
public void testGCDAtDefinition3() {
assertEquals(0, Evaluator.getNumberResult("gcd('0', '0')", exerciseVariableMap, fillInVariableMap), 0.0);
}
@Test
public void testGCDWithInput1() {
assertEquals(10, Evaluator.getNumberResult("gcd('[pos=2]', '[pos=3]')", exerciseVariableMap, fillInVariableMap),
0.0);
}
@Test
public void testGCDWithInput2() {
assertEquals(5, Evaluator.getNumberResult("gcd('[pos=3]', '[pos=4]')", exerciseVariableMap, fillInVariableMap),
0.0);
}
@Test
public void testGCDWithInput3() {
assertEquals(5, Evaluator.getNumberResult("gcd('[pos=1]', '[pos=4]')", exerciseVariableMap, fillInVariableMap),
0.0);
}
@Test
public void testGCDWithVariables1() {
assertEquals(10, Evaluator.getNumberResult("gcd('[var=b]', '[var=c]')", exerciseVariableMap, fillInVariableMap),
0.0);
}
@Test
public void testGCDWithVariables2() {
assertEquals(5, Evaluator.getNumberResult("gcd('[var=c]', '[var=d]')", exerciseVariableMap, fillInVariableMap),
0.0);
}
@Test
public void testGCDWithVariables3() {
assertEquals(5, Evaluator.getNumberResult("gcd('[var=a]', '[var=d]')", exerciseVariableMap, fillInVariableMap),
0.0);
}
@Test
public void testGCDWithExpressions1() {
assertEquals(5,
Evaluator.getNumberResult("gcd('gcd(5, [var=c])', '[var=c]')", exerciseVariableMap, fillInVariableMap),
0.0);
}
@Test
public void testGCDWithExpressions2() {
assertEquals(5, Evaluator.getNumberResult("gcd('[var=c]', '(gcd([var=d], 5))')", exerciseVariableMap,
fillInVariableMap), 0.0);
}
@Test
public void testGCDWithExpressions3() {
assertEquals(5, Evaluator.getNumberResult("gcd(gcd('[var=e]',gcd('[var=e]','5')),gcd('[var=b]','[pos=5]'))",
exerciseVariableMap, fillInVariableMap), 0.0);
}
@Test(expected = FunctionInvalidArgumentTypeException.class)
public void testGCDWithWrongInputPointNumber() {
Evaluator.getNumberResult("gcd('5.5','4')", exerciseVariableMap, fillInVariableMap);
fail();
}
@Test(expected = FunctionInvalidArgumentTypeException.class)
public void testGCDWithWrongInputCharacter() {
Evaluator.getNumberResult("gcd('a', '2')", exerciseVariableMap, fillInVariableMap);
fail();
}
@Test(expected = FunctionInvalidNumberOfArgumentsException.class)
public void testGCDWithOneArgument() {
Evaluator.getNumberResult("gcd('7')", exerciseVariableMap, fillInVariableMap);
fail();
}
@Test(expected = FunctionInvalidNumberOfArgumentsException.class)
public void testGCDWithThreeArguments() {
Evaluator.getNumberResult("gcd('4', '5', '7')", exerciseVariableMap, fillInVariableMap);
fail();
}
@Test(expected = UndefinedExerciseVariableException.class)
public void testGCDWithMissingExerciseVariable() {
Evaluator.getNumberResult("gcd('[var=j]', '3')", exerciseVariableMap, fillInVariableMap);
fail();
}
@Test(expected = UndefinedFillInVariableException.class)
public void testGCDWithMissingInput() {
Evaluator.getNumberResult("gcd('[pos=42]', '3')", exerciseVariableMap, fillInVariableMap);
fail();
}