Pow

Beschreibung

Die Funktion pow repräsentiert eine Exponentialfunktion und errechnet die Potens der Basis mit dem Exponenten (<math>Basis^{Exponent}</math>). Die Funktion erwartet zwei Zahlen, einmal die Basis und einmal den Exponenten, und gibt die entsprechende Potens zurück.

Syntax

basis ^ exponent
pow(Gleitkommazahl basis, Gleitkommazahl exponent)

Parameter

• basis - die Basis
• exponent - der Exponent

Return Value

• Gibt das Ergebnis von <math>Basis^{Exponent}</math> zurück

Beispiele

Standardfälle

pow(2,2)   --> returns 4
pow(10,3)   --> returns 1000

n-te Wurzel ziehen

pow(16,0.25)   --> returns 2

Benutzung mit Variablen

pow([pos=1],[pos=3])
pow([var=a],[var=b])

JUnit Tests

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@BeforeClass
public static void beforeTest() {
	fillInVariableMap.put(1, OMConverter.toObject("<OMOBJ><OMI>2</OMI></OMOBJ>"));
	fillInVariableMap.put(2, OMConverter.toObject("<OMOBJ><OMI>10</OMI></OMOBJ>"));

	exerciseVariableMap.put("a", OMConverter.toObject("<OMOBJ><OMI>2</OMI></OMOBJ>"));
	exerciseVariableMap.put("b", OMConverter.toObject("<OMOBJ><OMI>10</OMI></OMOBJ>"));
}

@Test
public void testPow1() {
	assertEquals(4, Evaluator.getNumberResult("pow(2,2)", exerciseVariableMap, fillInVariableMap), 0.0);
}

@Test
public void testPow2() {
	assertEquals(1000, Evaluator.getNumberResult("pow(10,3)", exerciseVariableMap, fillInVariableMap), 0.0);
}

@Test
public void testPow3() {
	assertEquals(-8, Evaluator.getNumberResult("pow(-2,3)", exerciseVariableMap, fillInVariableMap), 0.0);
}

@Test
public void testPow4() {
	assertEquals(1, Evaluator.getNumberResult("pow(10,0)", exerciseVariableMap, fillInVariableMap), 0.0);
}

@Test
public void testPow5() {
	assertEquals(.1, Evaluator.getNumberResult("pow(10,-1)", exerciseVariableMap, fillInVariableMap), 0.0);
}

@Test
public void testPow6() {
	assertEquals(1, Evaluator.getNumberResult("pow(1,-55)", exerciseVariableMap, fillInVariableMap), 0.0);
}

@Test
public void testPow7() {
	assertEquals(0, Evaluator.getNumberResult("pow(0, 44)", exerciseVariableMap, fillInVariableMap), 0.0);
}

@Test
public void testPowWithInput1() {
	assertEquals(1024, Evaluator.getNumberResult("pow(2,[pos=2])", exerciseVariableMap, fillInVariableMap), 0.0);
}

@Test
public void testPowWithInput2() {
	assertEquals(8, Evaluator.getNumberResult("pow([pos=1],3)", exerciseVariableMap, fillInVariableMap), 0.0);
}

@Test
public void testPowWithVariables1() {
	assertEquals(4, Evaluator.getNumberResult("pow(2,[var=a])", exerciseVariableMap, fillInVariableMap), 0.0);
}

@Test
public void testPowWithVariables2() {
	assertEquals(1000, Evaluator.getNumberResult("pow([var=b],3)", exerciseVariableMap, fillInVariableMap), 0.0);
}

@Test
public void testPowWithExpressions1() {
	assertEquals(16, Evaluator.getNumberResult("pow(pow(-2,2), 2)", exerciseVariableMap, fillInVariableMap),
			0.0);
}

@Test
public void testPowWithExpressions2() {
	assertEquals(4096,
			Evaluator.getNumberResult("pow(pow(-2,3), pow(2, 2))", exerciseVariableMap, fillInVariableMap), 0.0);
}

@Test
public void testPowWithExpressions3() {
	assertEquals(16,
			Evaluator.getNumberResult("pow(pow(-2,pow(2,1)), pow(2, 1))", exerciseVariableMap, fillInVariableMap),
			0.0);
}

@Test
public void testPowWithPointNumbers() {
	assertEquals(1, Evaluator.getNumberResult("pow(1.0, 1.3)", exerciseVariableMap, fillInVariableMap), 0.0);
}


@Test
public void testPowWithInputCharacters() {
	OMA oma = Evaluator.evaluate("pow(a, a)", exerciseVariableMap, fillInVariableMap).getOMA();
	assertEquals("<OMA><OMS name=\"power\" cd=\"arith1\"/><OMV name=\"a\"/><OMV name=\"a\"/></OMA>", oma.toString());
}

@Test(expected = FunctionInvalidNumberOfArgumentsException.class)
public void testPowWithOneArgument() {
	Evaluator.getNumberResult("pow(4)", exerciseVariableMap, fillInVariableMap);
	fail();
}

@Test(expected = FunctionInvalidNumberOfArgumentsException.class)
public void testPowWithThreeArguments() {
	Evaluator.getNumberResult("pow(2, 2, 2)", exerciseVariableMap, fillInVariableMap);
	fail();
}

@Test(expected = UndefinedExerciseVariableException.class)
public void testPowWithMissingExerciseVariable() {
	Evaluator.getNumberResult("pow('[var=j]', '[var=j]')", exerciseVariableMap, fillInVariableMap);
	fail();
}

@Test(expected = UndefinedFillInVariableException.class)
public void testPowWithMissingInput() {
	Evaluator.getNumberResult("pow('[pos=42]', '[pos=42]')", exerciseVariableMap, fillInVariableMap);
	fail();
}

Hinweise

• Wichtig: Dezimalzahlen müssen mit Punkt angegeben werden (z.B 3.4)