Examples of org.apache.mahout.math.Vector.norm()

org.apache.mahout.math.Vector.norm()
kipedia.org/wiki/Lp_space
Technically, when 0 > power < 1, we don't have a norm, just a metric, but we'll overload this here. Also supports power == 0 (number of non-zero elements) and power = {@link Double#POSITIVE_INFINITY} (max element). Again, see the Wikipedia page formore info. @param power The power to use. @see #normalize(double)

    // should have 9 values set
    assertEquals(9.0, v.norm(0), 0);
    // all should be = 1 except for the 3.1
    assertEquals(3.1, v.maxValue(), 0);
    v.set(v.maxValueIndex(), 0);
    assertEquals(8.0, v.norm(0), 0);
    assertEquals(8.0, v.norm(1), 0);
    assertEquals(1.0, v.maxValue(), 0);


    v.assign(0);
    t = csv.processLine("ignore,5.3,no,line, \"and more text and more\",ignore", v);

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    assertEquals(9.0, v.norm(0), 0);
    // all should be = 1 except for the 3.1
    assertEquals(3.1, v.maxValue(), 0);
    v.set(v.maxValueIndex(), 0);
    assertEquals(8.0, v.norm(0), 0);
    assertEquals(8.0, v.norm(1), 0);
    assertEquals(1.0, v.maxValue(), 0);


    v.assign(0);
    t = csv.processLine("ignore,5.3,no,line, \"and more text and more\",ignore", v);
    assertEquals(1, t);

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    v.assign(0);
    t = csv.processLine("ignore,5.3,no,line, \"and more text and more\",ignore", v);
    assertEquals(1, t);


    // should have 9 values set
    assertEquals(9.0, v.norm(0), 0);
    // all should be = 1 except for the 3.1
    assertEquals(5.3, v.maxValue(), 0);
    v.set(v.maxValueIndex(), 0);
    assertEquals(8.0, v.norm(0), 0);
    assertEquals(10.339850002884626, v.norm(1), 1.0e-6);

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    // should have 9 values set
    assertEquals(9.0, v.norm(0), 0);
    // all should be = 1 except for the 3.1
    assertEquals(5.3, v.maxValue(), 0);
    v.set(v.maxValueIndex(), 0);
    assertEquals(8.0, v.norm(0), 0);
    assertEquals(10.339850002884626, v.norm(1), 1.0e-6);
    assertEquals(1.5849625007211563, v.maxValue(), 1.0e-6);


    v.assign(0);
    t = csv.processLine("ignore,5.3,invalid,line, \"and more text and more\",ignore", v);

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    assertEquals(9.0, v.norm(0), 0);
    // all should be = 1 except for the 3.1
    assertEquals(5.3, v.maxValue(), 0);
    v.set(v.maxValueIndex(), 0);
    assertEquals(8.0, v.norm(0), 0);
    assertEquals(10.339850002884626, v.norm(1), 1.0e-6);
    assertEquals(1.5849625007211563, v.maxValue(), 1.0e-6);


    v.assign(0);
    t = csv.processLine("ignore,5.3,invalid,line, \"and more text and more\",ignore", v);
    assertEquals(1, t);

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    v.assign(0);
    t = csv.processLine("ignore,5.3,invalid,line, \"and more text and more\",ignore", v);
    assertEquals(1, t);


    // should have 9 values set
    assertEquals(9.0, v.norm(0), 0);
    // all should be = 1 except for the 3.1
    assertEquals(5.3, v.maxValue(), 0);
    v.set(v.maxValueIndex(), 0);
    assertEquals(8.0, v.norm(0), 0);
    assertEquals(10.339850002884626, v.norm(1), 1.0e-6);

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    // should have 9 values set
    assertEquals(9.0, v.norm(0), 0);
    // all should be = 1 except for the 3.1
    assertEquals(5.3, v.maxValue(), 0);
    v.set(v.maxValueIndex(), 0);
    assertEquals(8.0, v.norm(0), 0);
    assertEquals(10.339850002884626, v.norm(1), 1.0e-6);
    assertEquals(1.5849625007211563, v.maxValue(), 1.0e-6);
  }


  @Test

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    assertEquals(9.0, v.norm(0), 0);
    // all should be = 1 except for the 3.1
    assertEquals(5.3, v.maxValue(), 0);
    v.set(v.maxValueIndex(), 0);
    assertEquals(8.0, v.norm(0), 0);
    assertEquals(10.339850002884626, v.norm(1), 1.0e-6);
    assertEquals(1.5849625007211563, v.maxValue(), 1.0e-6);
  }


  @Test
  public void testDictionaryOrder() {

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      endTime(TimingSection.ITERATE);
      startTime(TimingSection.ORTHOGANLIZE);
      orthoganalizeAgainstAllButLast(nextVector, state);
      endTime(TimingSection.ORTHOGANLIZE);
      // and normalize
      beta = nextVector.norm(2);
      if (outOfRange(beta) || outOfRange(alpha)) {
        log.warn("Lanczos parameters out of range: alpha = {}, beta = {}.  Bailing out early!",
            alpha, beta);
        break;
      }

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public class SimpleEigenVerifier implements SingularVectorVerifier {


  @Override
  public EigenStatus verify(VectorIterable corpus, Vector vector) {
    Vector resultantVector = corpus.timesSquared(vector);
    double newNorm = resultantVector.norm(2);
    double oldNorm = vector.norm(2);
    double eigenValue = (newNorm > 0 && oldNorm > 0) ? newNorm / oldNorm : 1;
    double cosAngle = (newNorm > 0 && oldNorm > 0) ? resultantVector.dot(vector) / (newNorm * oldNorm) : 0;
    return new EigenStatus(eigenValue, cosAngle, false);
  }

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