zlange function

double zlange(
  1. String NORM,
  2. int M,
  3. int N,
  4. Matrix<Complex> A_,
  5. int LDA,
  6. Array<double> WORK_,
)

Implementation

double zlange(
  final String NORM,
  final int M,
  final int N,
  final Matrix<Complex> A_,
  final int LDA,
  final Array<double> WORK_,
) {
  final A = A_.having(ld: LDA);
  final WORK = WORK_.having();
  const ONE = 1.0, ZERO = 0.0;
  int I, J;
  double VALUE = 0, TEMP;
  final SCALE = Box(0.0), SUM = Box(0.0);

  if (min(M, N) == 0) {
    VALUE = ZERO;
  } else if (lsame(NORM, 'M')) {
    // Find max(abs(A(i,j))).

    VALUE = ZERO;
    for (J = 1; J <= N; J++) {
      for (I = 1; I <= M; I++) {
        TEMP = A[I][J].abs();
        if (VALUE < TEMP || disnan(TEMP)) VALUE = TEMP;
      }
    }
  } else if ((lsame(NORM, 'O')) || (NORM == '1')) {
    // Find norm1(A).

    VALUE = ZERO;
    for (J = 1; J <= N; J++) {
      SUM.value = ZERO;
      for (I = 1; I <= M; I++) {
        SUM.value += A[I][J].abs();
      }
      if (VALUE < SUM.value || disnan(SUM.value)) VALUE = SUM.value;
    }
  } else if (lsame(NORM, 'I')) {
    // Find normI(A).

    for (I = 1; I <= M; I++) {
      WORK[I] = ZERO;
    }
    for (J = 1; J <= N; J++) {
      for (I = 1; I <= M; I++) {
        WORK[I] += A[I][J].abs();
      }
    }
    VALUE = ZERO;
    for (I = 1; I <= M; I++) {
      TEMP = WORK[I];
      if (VALUE < TEMP || disnan(TEMP)) VALUE = TEMP;
    }
  } else if ((lsame(NORM, 'F')) || (lsame(NORM, 'E'))) {
    // Find normF(A).

    SCALE.value = ZERO;
    SUM.value = ONE;
    for (J = 1; J <= N; J++) {
      zlassq(M, A(1, J).asArray(), 1, SCALE, SUM);
    }
    VALUE = SCALE.value * sqrt(SUM.value);
  }

  return VALUE;
}