zhemm function

void zhemm(String SIDE, String UPLO, int M, int N, Complex ALPHA, Matrix<Complex> A_, int LDA, Matrix<Complex> B_, int LDB, Complex BETA, Matrix<Complex> C_, int LDC,)

Implementation

void zhemm(
  final String SIDE,
  final String UPLO,
  final int M,
  final int N,
  final Complex ALPHA,
  final Matrix<Complex> A_,
  final int LDA,
  final Matrix<Complex> B_,
  final int LDB,
  final Complex BETA,
  final Matrix<Complex> C_,
  final int LDC,
) {
  final A = A_.having(ld: LDA);
  final B = B_.having(ld: LDB);
  final C = C_.having(ld: LDC);
  Complex TEMP1, TEMP2;
  int I, INFO, J, K, NROWA;
  bool UPPER;

  // Set NROWA as the number of rows of A.

  if (lsame(SIDE, 'L')) {
    NROWA = M;
  } else {
    NROWA = N;
  }
  UPPER = lsame(UPLO, 'U');

  // Test the input parameters.

  INFO = 0;
  if (!lsame(SIDE, 'L') && !lsame(SIDE, 'R')) {
    INFO = 1;
  } else if (!UPPER && !lsame(UPLO, 'L')) {
    INFO = 2;
  } else if (M < 0) {
    INFO = 3;
  } else if (N < 0) {
    INFO = 4;
  } else if (LDA < max(1, NROWA)) {
    INFO = 7;
  } else if (LDB < max(1, M)) {
    INFO = 9;
  } else if (LDC < max(1, M)) {
    INFO = 12;
  }
  if (INFO != 0) {
    xerbla('ZHEMM', INFO);
    return;
  }

  // Quick return if possible.

  if ((M == 0) ||
      (N == 0) ||
      ((ALPHA == Complex.zero) && (BETA == Complex.one))) return;

  // And when  alpha == zero.

  if (ALPHA == Complex.zero) {
    if (BETA == Complex.zero) {
      for (J = 1; J <= N; J++) {
        for (I = 1; I <= M; I++) {
          C[I][J] = Complex.zero;
        }
      }
    } else {
      for (J = 1; J <= N; J++) {
        for (I = 1; I <= M; I++) {
          C[I][J] = BETA * C[I][J];
        }
      }
    }
    return;
  }

  // Start the operations.

  if (lsame(SIDE, 'L')) {
    // Form  C := alpha*A*B + beta*C.

    if (UPPER) {
      for (J = 1; J <= N; J++) {
        for (I = 1; I <= M; I++) {
          TEMP1 = ALPHA * B[I][J];
          TEMP2 = Complex.zero;
          for (K = 1; K <= I - 1; K++) {
            C[K][J] += TEMP1 * A[K][I];
            TEMP2 += B[K][J] * A[K][I].conjugate();
          }
          if (BETA == Complex.zero) {
            C[I][J] = TEMP1 * A[I][I].real.toComplex() + ALPHA * TEMP2;
          } else {
            C[I][J] = BETA * C[I][J] +
                TEMP1 * A[I][I].real.toComplex() +
                ALPHA * TEMP2;
          }
        }
      }
    } else {
      for (J = 1; J <= N; J++) {
        for (I = M; I >= 1; I--) {
          TEMP1 = ALPHA * B[I][J];
          TEMP2 = Complex.zero;
          for (K = I + 1; K <= M; K++) {
            C[K][J] += TEMP1 * A[K][I];
            TEMP2 += B[K][J] * A[K][I].conjugate();
          }
          if (BETA == Complex.zero) {
            C[I][J] = TEMP1 * A[I][I].real.toComplex() + ALPHA * TEMP2;
          } else {
            C[I][J] = BETA * C[I][J] +
                TEMP1 * A[I][I].real.toComplex() +
                ALPHA * TEMP2;
          }
        }
      }
    }
  } else {
    // Form  C := alpha*B*A + beta*C.

    for (J = 1; J <= N; J++) {
      TEMP1 = ALPHA * A[J][J].real.toComplex();
      if (BETA == Complex.zero) {
        for (I = 1; I <= M; I++) {
          C[I][J] = TEMP1 * B[I][J];
        }
      } else {
        for (I = 1; I <= M; I++) {
          C[I][J] = BETA * C[I][J] + TEMP1 * B[I][J];
        }
      }
      for (K = 1; K <= J - 1; K++) {
        if (UPPER) {
          TEMP1 = ALPHA * A[K][J];
        } else {
          TEMP1 = ALPHA * A[J][K].conjugate();
        }
        for (I = 1; I <= M; I++) {
          C[I][J] += TEMP1 * B[I][K];
        }
      }
      for (K = J + 1; K <= N; K++) {
        if (UPPER) {
          TEMP1 = ALPHA * A[J][K].conjugate();
        } else {
          TEMP1 = ALPHA * A[K][J];
        }
        for (I = 1; I <= M; I++) {
          C[I][J] += TEMP1 * B[I][K];
        }
      }
    }
  }
}