IsLinearlyIndependent

Beschreibung

Die Funktion isLinearlyIndependent testet, ob Vektoren linear unabhägig sind. Die Funktion erwartet eine Menge von Vektoren und gibt einen boolean zurück.

Syntax

 isLinearlyIndependent(String vektoren)

Parameter

• vektoren - Menge von Vektoren, die auf lineare Unabhängigkeit geprüft werden sollen

Return Value

• Gibt einen boolean zurück

Beispiele

 isLinearlyIndependent(set(vector(1,1), vector(1,2)))    --> returns true

JUnit Tests

@Before
public void beforeTest(){
  placeFillInVariable(1,new OpenMathObject() {
    //[vector(QQ,[1,2,3]),vector(QQ,[3,3,3])]
    @Override
    protected String getPartialXML() {
      return "<OMA><OMS cd='list1' name='list'/><OMA><OMS cd='linalg2' name='vector'/><OMI>1</OMI><OMI>2</OMI><OMI>3</OMI></OMA><OMA><OMS cd='linalg2' name='vector'/><OMI>3</OMI><OMI>3</OMI><OMI>3</OMI></OMA></OMA>";
    }
  });
  placeFillInVariable(2, OMParser.parse("1"));

  placeExerciseVariable("a", new OpenMathObject() {
    //[vector(QQ,[1,2,3]),vector(QQ,[3,3,3])]
    @Override
    protected String getPartialXML() {
      return "<OMA><OMS cd='list1' name='list'/><OMA><OMS cd='linalg2' name='vector'/><OMI>1</OMI><OMI>2</OMI><OMI>3</OMI></OMA><OMA><OMS cd='linalg2' name='vector'/><OMI>3</OMI><OMI>3</OMI><OMI>3</OMI></OMA></OMA>";
    }
  });
  placeExerciseVariable("b", OMParser.parse("1"));
		
}
	
@Test
public void testIsLinearlyIndependent(){
  assertTrue(getEvaluator().getBooleanResult("isLinearlyIndependent(set(vector(1,1), vector(1,2)))"));
  assertTrue(getEvaluator().getBooleanResult("isLinearlyIndependent(set(vector(1)))"));
  assertTrue(getEvaluator().getBooleanResult("isLinearlyIndependent(set(vector(1,1,0), vector(1,1,1)))"));
  assertTrue(getEvaluator().getBooleanResult("isLinearlyIndependent(set(vector(1,0,0), vector(1,1,1), vector(1.5, 1.5, 1.8)))"));
  assertTrue(getEvaluator().getBooleanResult("isLinearlyIndependent(set(vector(1,2,3), vector(3,3,3)))"));
}
	
@Test
public void testIsLinearlyIndependentWithInput(){
  assertTrue(getEvaluator().getBooleanResult("isLinearlyIndependent(set(vector(1,[pos=2],0), vector(1,1,[pos=2])))"));
  assertTrue(getEvaluator().getBooleanResult("isLinearlyIndependent('[pos=1]')"));
}

@Test
public void testIsLinearlyIndependentWithVariables(){
  assertTrue(getEvaluator().getBooleanResult("isLinearlyIndependent(set(vector(1,[var=b],0), vector(1,1,[var=b])))"));
		assertTrue(getEvaluator().getBooleanResult("isLinearlyIndependent('[var=a]')"));
}
	
@Test(expected=InvalidCASFunctionArgumentException.class)
public void TestIsLinearlyIndependentWithWrongInputONECharacter(){
  getEvaluator().getBooleanResult("isLinearlyIndependent(a)");
}
	
@Test(expected=InvalidCASFunctionArgumentException.class)
public void testIsLinearlyIndependentWithEmptyStringArgument() {
  getEvaluator().getBooleanResult("isLinearlyIndependent('')");
}
	
@Test(expected=InvalidCASFunctionArgumentException.class)
public void testIsLinearlyIndependentWithEmptyArgument() {
  getEvaluator().getBooleanResult("isLinearlyIndependent()");
}
	
@Test(expected=UndefinedExerciseVariableException.class)
public void testIsLinearlyIndependentWithoutExerciseVariable() {
  getEvaluator().getBooleanResult("isLinearlyIndependent('[var=j]')");
}
	
@Test(expected=UndefinedFillInVariableException.class)
public void testIsLinearlyIndependentWithoutInput() {
  getEvaluator().getBooleanResult("isLinearlyIndependent('[pos=42]')");
}

Hinweise

• Die Funktionen Set und vector setzen die Vektoren in die richtige Schreibweise.