/**
  * Generate matrix with random elements
  *
  * @param m Number of rows.
  * @param n Number of colums.
  * @return An m-by-n matrix with uniformly distributed random elements.
  */
 public static Matrix random(int m, int n) {
   Matrix A = new Matrix(m, n);
   double[][] X = A.getArray();
   for (int i = 0; i < m; i++) {
     for (int j = 0; j < n; j++) {
       X[i][j] = Math.random();
     }
   }
   return A;
 }
 /**
  * Generate identity matrix
  *
  * @param m Number of rows.
  * @param n Number of colums.
  * @return An m-by-n matrix with ones on the diagonal and zeros elsewhere.
  */
 public static Matrix identity(int m, int n) {
   Matrix A = new Matrix(m, n);
   double[][] X = A.getArray();
   for (int i = 0; i < m; i++) {
     for (int j = 0; j < n; j++) {
       X[i][j] = (i == j ? 1.0 : 0.0);
     }
   }
   return A;
 }
 /**
  * Multiply a matrix by a scalar, C = s*A
  *
  * @param s scalar
  * @return s*A
  */
 public Matrix times(double s) {
   Matrix X = new Matrix(m, n);
   double[][] C = X.getArray();
   for (int i = 0; i < m; i++) {
     for (int j = 0; j < n; j++) {
       C[i][j] = s * A[i][j];
     }
   }
   return X;
 }
 /**
  * Unary minus
  *
  * @return -A
  */
 public Matrix uminus() {
   Matrix X = new Matrix(m, n);
   double[][] C = X.getArray();
   for (int i = 0; i < m; i++) {
     for (int j = 0; j < n; j++) {
       C[i][j] = -A[i][j];
     }
   }
   return X;
 }
  public double[][] Eigenvectors(Matrix m) {
    EigenvalueDecomposition decomposition = m.eig();
    Matrix eigenVectorsMatrix = decomposition.getV();
    double[][] eigenvectors = eigenVectorsMatrix.getArray();

    //	   	System.out.println("eigenvectors matrix");
    //	   	eigenVectorsMatrix.print(2,2);

    return eigenvectors;
  }
 /**
  * Matrix transpose.
  *
  * @return A'
  */
 public Matrix transpose() {
   Matrix X = new Matrix(n, m);
   double[][] C = X.getArray();
   for (int i = 0; i < m; i++) {
     for (int j = 0; j < n; j++) {
       C[j][i] = A[i][j];
     }
   }
   return X;
 }
 /**
  * Element-by-element left division, C = A.\B
  *
  * @param B another matrix
  * @return A.\B
  */
 public Matrix arrayLeftDivide(Matrix B) {
   checkMatrixDimensions(B);
   Matrix X = new Matrix(m, n);
   double[][] C = X.getArray();
   for (int i = 0; i < m; i++) {
     for (int j = 0; j < n; j++) {
       C[i][j] = B.A[i][j] / A[i][j];
     }
   }
   return X;
 }
 /**
  * Get a submatrix.
  *
  * @param r Array of row indices.
  * @param j0 Initial column index
  * @param j1 Final column index
  * @return A(r(:),j0:j1)
  * @exception ArrayIndexOutOfBoundsException Submatrix indices
  */
 public Matrix getMatrix(int[] r, int j0, int j1) {
   Matrix X = new Matrix(r.length, j1 - j0 + 1);
   double[][] B = X.getArray();
   try {
     for (int i = 0; i < r.length; i++) {
       for (int j = j0; j <= j1; j++) {
         B[i][j - j0] = A[r[i]][j];
       }
     }
   } catch (ArrayIndexOutOfBoundsException e) {
     throw new ArrayIndexOutOfBoundsException("Submatrix indices");
   }
   return X;
 }
 /**
  * Get a submatrix.
  *
  * @param i0 Initial row index
  * @param i1 Final row index
  * @param c Array of column indices.
  * @return A(i0:i1,c(:))
  * @exception ArrayIndexOutOfBoundsException Submatrix indices
  */
 public Matrix getMatrix(int i0, int i1, int[] c) {
   Matrix X = new Matrix(i1 - i0 + 1, c.length);
   double[][] B = X.getArray();
   try {
     for (int i = i0; i <= i1; i++) {
       for (int j = 0; j < c.length; j++) {
         B[i - i0][j] = A[i][c[j]];
       }
     }
   } catch (ArrayIndexOutOfBoundsException e) {
     throw new ArrayIndexOutOfBoundsException("Submatrix indices");
   }
   return X;
 }
 /**
  * Get a submatrix.
  *
  * @param i0 Initial row index
  * @param i1 Final row index
  * @param j0 Initial column index
  * @param j1 Final column index
  * @return A(i0:i1,j0:j1)
  * @exception ArrayIndexOutOfBoundsException Submatrix indices
  */
 public Matrix getMatrix(int i0, int i1, int j0, int j1) {
   Matrix X = new Matrix(i1 - i0 + 1, j1 - j0 + 1);
   double[][] B = X.getArray();
   try {
     for (int i = i0; i <= i1; i++) {
       for (int j = j0; j <= j1; j++) {
         B[i - i0][j - j0] = A[i][j];
       }
     }
   } catch (ArrayIndexOutOfBoundsException e) {
     throw new ArrayIndexOutOfBoundsException("Submatrix indices");
   }
   return X;
 }
 /**
  * Construct a matrix from a copy of a 2-D array.
  *
  * @param A Two-dimensional array of doubles.
  * @exception IllegalArgumentException All rows must have the same length
  */
 public static Matrix constructWithCopy(double[][] A) {
   int m = A.length;
   int n = A[0].length;
   Matrix X = new Matrix(m, n);
   double[][] C = X.getArray();
   for (int i = 0; i < m; i++) {
     if (A[i].length != n) {
       throw new IllegalArgumentException("All rows must have the same length.");
     }
     for (int j = 0; j < n; j++) {
       C[i][j] = A[i][j];
     }
   }
   return X;
 }
Example #12
0
File: Main.java Project: YpGu/gcoev
  /** toy example */
  public static void test2() {
    int N = 500;
    double[][] m1 = new double[N][N];
    double[][] m2 = new double[N][N];
    double[][] m3 = new double[N][N];

    // init
    Random rand = new Random();
    for (int i = 0; i < N; i++)
      for (int j = 0; j < N; j++) {
        m1[i][j] = 10 * (rand.nextDouble() - 0.2);
        m2[i][j] = 20 * (rand.nextDouble() - 0.8);
      }

    // inverse
    System.out.println("Start");
    Matrix mat1 = new Matrix(m1);
    Matrix mat2 = mat1.inverse();
    Matrix mat3 = mat1.times(mat2);
    double[][] m4 = mat3.getArray();
    /*
       for (int i = 0; i < m4.length; i++) {
         int ss = 10;
         for (int j = 0; j < ss; j++) {
    System.out.printf("%f ", m4[i][j]);
         }
         System.out.print("\n");
       }
       */
    System.out.println("Done");

    /*
        // matrix *
        System.out.println("Start");
        for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) {
          double cell = 0;
          for (int k = 0; k < N; k++)
    	cell += m1[i][k] * m2[k][j];
    //      System.out.printf("%f ", cell);
          m3[i][j] = cell;
        }
        System.out.println("Done");
        */
  }
 /**
  * Linear algebraic matrix multiplication, A * B
  *
  * @param B another matrix
  * @return Matrix product, A * B
  * @exception IllegalArgumentException Matrix inner dimensions must agree.
  */
 public Matrix times(Matrix B) {
   if (B.m != n) {
     throw new IllegalArgumentException("Matrix inner dimensions must agree.");
   }
   Matrix X = new Matrix(m, B.n);
   double[][] C = X.getArray();
   double[] Bcolj = new double[n];
   for (int j = 0; j < B.n; j++) {
     for (int k = 0; k < n; k++) {
       Bcolj[k] = B.A[k][j];
     }
     for (int i = 0; i < m; i++) {
       double[] Arowi = A[i];
       double s = 0;
       for (int k = 0; k < n; k++) {
         s += Arowi[k] * Bcolj[k];
       }
       C[i][j] = s;
     }
   }
   return X;
 }
Example #14
0
  private void computeCovMat() {

    // array for inverse of Covriance matrix
    // the matrix is arraged as (x,y,z,c*t,x',y',p,k)
    double[][] invCovMat_a = new double[8][8];
    for (int i = 0; i < 8; i++) {
      for (int j = 0; j < 8; j++) {
        invCovMat_a[i][j] = 0.;
      }
    }
    invCovMat_a[0][0] =
        1.0 / pow(sigmaX, 2)
            + pow(cos(alpha), 2) / pow(sigmaW, 2)
            + pow(sin(alpha), 2) / pow(sigmaL, 2);
    invCovMat_a[0][2] = (1.0 / pow(sigmaL, 2) - 1.0 / pow(sigmaW, 2)) * sin(alpha) * cos(alpha);
    invCovMat_a[2][0] = invCovMat_a[0][2];
    invCovMat_a[0][3] = sin(alpha) / pow(sigmaL, 2);
    invCovMat_a[3][0] = invCovMat_a[0][3];
    invCovMat_a[1][1] = 1 / pow(sigmaY, 2);
    invCovMat_a[2][2] =
        1 / pow(sigmaZ, 2)
            + pow(cos(alpha), 2) / pow(sigmaL, 2)
            + pow(sin(alpha), 2) / pow(sigmaW, 2);
    invCovMat_a[2][3] = -1.0 / pow(sigmaZ, 2) + cos(alpha) / pow(sigmaL, 2);
    invCovMat_a[3][2] = invCovMat_a[2][3];
    invCovMat_a[3][3] = 1.0 / pow(sigmaZ, 2) + 1.0 / pow(sigmaL, 2);
    invCovMat_a[4][4] = 1.0 / pow(sigmaXp, 2);
    invCovMat_a[5][5] = 1.0 / pow(sigmaYp, 2);
    invCovMat_a[6][6] = 1.0 / pow(sigmaP, 2);
    invCovMat_a[7][7] = 1.0 / pow(sigmaK, 2);
    // transfer invCovMat_a array to matrix invCovMat
    Matrix invCovMat = new Matrix(invCovMat_a);
    // inverse invCovMat to CovMat
    Matrix CovMat_m = invCovMat.inverse();
    covMat = CovMat_m.getArray();
  }
Example #15
0
 private void computeCholDecompA() {
   Matrix covMat_m = new Matrix(covMat);
   CholeskyDecomposition decomposer = new CholeskyDecomposition(covMat_m);
   Matrix A_m = decomposer.getL();
   A = A_m.getArray();
 }
  public static void main(String argv[]) {
    Matrix A, B, C, Z, O, I, R, S, X, SUB, M, T, SQ, DEF, SOL;
    // Uncomment this to test IO in a different locale.
    // Locale.setDefault(Locale.GERMAN);
    int errorCount = 0;
    int warningCount = 0;
    double tmp, s;
    double[] columnwise = {1., 2., 3., 4., 5., 6., 7., 8., 9., 10., 11., 12.};
    double[] rowwise = {1., 4., 7., 10., 2., 5., 8., 11., 3., 6., 9., 12.};
    double[][] avals = {{1., 4., 7., 10.}, {2., 5., 8., 11.}, {3., 6., 9., 12.}};
    double[][] rankdef = avals;
    double[][] tvals = {{1., 2., 3.}, {4., 5., 6.}, {7., 8., 9.}, {10., 11., 12.}};
    double[][] subavals = {{5., 8., 11.}, {6., 9., 12.}};
    double[][] rvals = {{1., 4., 7.}, {2., 5., 8., 11.}, {3., 6., 9., 12.}};
    double[][] pvals = {{4., 1., 1.}, {1., 2., 3.}, {1., 3., 6.}};
    double[][] ivals = {{1., 0., 0., 0.}, {0., 1., 0., 0.}, {0., 0., 1., 0.}};
    double[][] evals = {
      {0., 1., 0., 0.}, {1., 0., 2.e-7, 0.}, {0., -2.e-7, 0., 1.}, {0., 0., 1., 0.}
    };
    double[][] square = {{166., 188., 210.}, {188., 214., 240.}, {210., 240., 270.}};
    double[][] sqSolution = {{13.}, {15.}};
    double[][] condmat = {{1., 3.}, {7., 9.}};
    double[][] badeigs = {
      {0, 0, 0, 0, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 1, 0}, {1, 1, 0, 0, 1}, {1, 0, 1, 0, 1}
    };
    int rows = 3, cols = 4;
    int invalidld = 5; /* should trigger bad shape for construction with val */
    int raggedr = 0; /* (raggedr,raggedc) should be out of bounds in ragged array */
    int raggedc = 4;
    int validld = 3; /* leading dimension of intended test Matrices */
    int nonconformld = 4; /* leading dimension which is valid, but nonconforming */
    int ib = 1, ie = 2, jb = 1, je = 3; /* index ranges for sub Matrix */
    int[] rowindexset = {1, 2};
    int[] badrowindexset = {1, 3};
    int[] columnindexset = {1, 2, 3};
    int[] badcolumnindexset = {1, 2, 4};
    double columnsummax = 33.;
    double rowsummax = 30.;
    double sumofdiagonals = 15;
    double sumofsquares = 650;

    /**
     * Constructors and constructor-like methods: double[], int double[][] int, int int, int, double
     * int, int, double[][] constructWithCopy(double[][]) random(int,int) identity(int)
     */
    print("\nTesting constructors and constructor-like methods...\n");
    try {
      /** check that exception is thrown in packed constructor with invalid length * */
      A = new Matrix(columnwise, invalidld);
      errorCount =
          try_failure(
              errorCount,
              "Catch invalid length in packed constructor... ",
              "exception not thrown for invalid input");
    } catch (IllegalArgumentException e) {
      try_success("Catch invalid length in packed constructor... ", e.getMessage());
    }
    try {
      /** check that exception is thrown in default constructor if input array is 'ragged' * */
      A = new Matrix(rvals);
      tmp = A.get(raggedr, raggedc);
    } catch (IllegalArgumentException e) {
      try_success("Catch ragged input to default constructor... ", e.getMessage());
    } catch (java.lang.ArrayIndexOutOfBoundsException e) {
      errorCount =
          try_failure(
              errorCount,
              "Catch ragged input to constructor... ",
              "exception not thrown in construction...ArrayIndexOutOfBoundsException thrown later");
    }
    try {
      /** check that exception is thrown in constructWithCopy if input array is 'ragged' * */
      A = Matrix.constructWithCopy(rvals);
      tmp = A.get(raggedr, raggedc);
    } catch (IllegalArgumentException e) {
      try_success("Catch ragged input to constructWithCopy... ", e.getMessage());
    } catch (java.lang.ArrayIndexOutOfBoundsException e) {
      errorCount =
          try_failure(
              errorCount,
              "Catch ragged input to constructWithCopy... ",
              "exception not thrown in construction...ArrayIndexOutOfBoundsException thrown later");
    }

    A = new Matrix(columnwise, validld);
    B = new Matrix(avals);
    tmp = B.get(0, 0);
    avals[0][0] = 0.0;
    C = B.minus(A);
    avals[0][0] = tmp;
    B = Matrix.constructWithCopy(avals);
    tmp = B.get(0, 0);
    avals[0][0] = 0.0;
    if ((tmp - B.get(0, 0)) != 0.0) {
      /** check that constructWithCopy behaves properly * */
      errorCount =
          try_failure(
              errorCount, "constructWithCopy... ", "copy not effected... data visible outside");
    } else {
      try_success("constructWithCopy... ", "");
    }
    avals[0][0] = columnwise[0];
    I = new Matrix(ivals);
    try {
      check(I, Matrix.identity(3, 4));
      try_success("identity... ", "");
    } catch (java.lang.RuntimeException e) {
      errorCount =
          try_failure(errorCount, "identity... ", "identity Matrix not successfully created");
    }

    /**
     * Access Methods: getColumnDimension() getRowDimension() getArray() getArrayCopy()
     * getColumnPackedCopy() getRowPackedCopy() get(int,int) getMatrix(int,int,int,int)
     * getMatrix(int,int,int[]) getMatrix(int[],int,int) getMatrix(int[],int[]) set(int,int,double)
     * setMatrix(int,int,int,int,Matrix) setMatrix(int,int,int[],Matrix)
     * setMatrix(int[],int,int,Matrix) setMatrix(int[],int[],Matrix)
     */
    print("\nTesting access methods...\n");

    /** Various get methods: */
    B = new Matrix(avals);
    if (B.getRowDimension() != rows) {
      errorCount = try_failure(errorCount, "getRowDimension... ", "");
    } else {
      try_success("getRowDimension... ", "");
    }
    if (B.getColumnDimension() != cols) {
      errorCount = try_failure(errorCount, "getColumnDimension... ", "");
    } else {
      try_success("getColumnDimension... ", "");
    }
    B = new Matrix(avals);
    double[][] barray = B.getArray();
    if (barray != avals) {
      errorCount = try_failure(errorCount, "getArray... ", "");
    } else {
      try_success("getArray... ", "");
    }
    barray = B.getArrayCopy();
    if (barray == avals) {
      errorCount = try_failure(errorCount, "getArrayCopy... ", "data not (deep) copied");
    }
    try {
      check(barray, avals);
      try_success("getArrayCopy... ", "");
    } catch (java.lang.RuntimeException e) {
      errorCount =
          try_failure(errorCount, "getArrayCopy... ", "data not successfully (deep) copied");
    }
    double[] bpacked = B.getColumnPackedCopy();
    try {
      check(bpacked, columnwise);
      try_success("getColumnPackedCopy... ", "");
    } catch (java.lang.RuntimeException e) {
      errorCount =
          try_failure(
              errorCount,
              "getColumnPackedCopy... ",
              "data not successfully (deep) copied by columns");
    }
    bpacked = B.getRowPackedCopy();
    try {
      check(bpacked, rowwise);
      try_success("getRowPackedCopy... ", "");
    } catch (java.lang.RuntimeException e) {
      errorCount =
          try_failure(
              errorCount, "getRowPackedCopy... ", "data not successfully (deep) copied by rows");
    }
    try {
      tmp = B.get(B.getRowDimension(), B.getColumnDimension() - 1);
      errorCount =
          try_failure(
              errorCount, "get(int,int)... ", "OutOfBoundsException expected but not thrown");
    } catch (java.lang.ArrayIndexOutOfBoundsException e) {
      try {
        tmp = B.get(B.getRowDimension() - 1, B.getColumnDimension());
        errorCount =
            try_failure(
                errorCount, "get(int,int)... ", "OutOfBoundsException expected but not thrown");
      } catch (java.lang.ArrayIndexOutOfBoundsException e1) {
        try_success("get(int,int)... OutofBoundsException... ", "");
      }
    } catch (java.lang.IllegalArgumentException e1) {
      errorCount =
          try_failure(
              errorCount, "get(int,int)... ", "OutOfBoundsException expected but not thrown");
    }
    try {
      if (B.get(B.getRowDimension() - 1, B.getColumnDimension() - 1)
          != avals[B.getRowDimension() - 1][B.getColumnDimension() - 1]) {
        errorCount =
            try_failure(
                errorCount, "get(int,int)... ", "Matrix entry (i,j) not successfully retreived");
      } else {
        try_success("get(int,int)... ", "");
      }
    } catch (java.lang.ArrayIndexOutOfBoundsException e) {
      errorCount =
          try_failure(errorCount, "get(int,int)... ", "Unexpected ArrayIndexOutOfBoundsException");
    }
    SUB = new Matrix(subavals);
    try {
      M = B.getMatrix(ib, ie + B.getRowDimension() + 1, jb, je);
      errorCount =
          try_failure(
              errorCount,
              "getMatrix(int,int,int,int)... ",
              "ArrayIndexOutOfBoundsException expected but not thrown");
    } catch (java.lang.ArrayIndexOutOfBoundsException e) {
      try {
        M = B.getMatrix(ib, ie, jb, je + B.getColumnDimension() + 1);
        errorCount =
            try_failure(
                errorCount,
                "getMatrix(int,int,int,int)... ",
                "ArrayIndexOutOfBoundsException expected but not thrown");
      } catch (java.lang.ArrayIndexOutOfBoundsException e1) {
        try_success("getMatrix(int,int,int,int)... ArrayIndexOutOfBoundsException... ", "");
      }
    } catch (java.lang.IllegalArgumentException e1) {
      errorCount =
          try_failure(
              errorCount,
              "getMatrix(int,int,int,int)... ",
              "ArrayIndexOutOfBoundsException expected but not thrown");
    }
    try {
      M = B.getMatrix(ib, ie, jb, je);
      try {
        check(SUB, M);
        try_success("getMatrix(int,int,int,int)... ", "");
      } catch (java.lang.RuntimeException e) {
        errorCount =
            try_failure(
                errorCount,
                "getMatrix(int,int,int,int)... ",
                "submatrix not successfully retreived");
      }
    } catch (java.lang.ArrayIndexOutOfBoundsException e) {
      errorCount =
          try_failure(
              errorCount,
              "getMatrix(int,int,int,int)... ",
              "Unexpected ArrayIndexOutOfBoundsException");
    }

    try {
      M = B.getMatrix(ib, ie, badcolumnindexset);
      errorCount =
          try_failure(
              errorCount,
              "getMatrix(int,int,int[])... ",
              "ArrayIndexOutOfBoundsException expected but not thrown");
    } catch (java.lang.ArrayIndexOutOfBoundsException e) {
      try {
        M = B.getMatrix(ib, ie + B.getRowDimension() + 1, columnindexset);
        errorCount =
            try_failure(
                errorCount,
                "getMatrix(int,int,int[])... ",
                "ArrayIndexOutOfBoundsException expected but not thrown");
      } catch (java.lang.ArrayIndexOutOfBoundsException e1) {
        try_success("getMatrix(int,int,int[])... ArrayIndexOutOfBoundsException... ", "");
      }
    } catch (java.lang.IllegalArgumentException e1) {
      errorCount =
          try_failure(
              errorCount,
              "getMatrix(int,int,int[])... ",
              "ArrayIndexOutOfBoundsException expected but not thrown");
    }
    try {
      M = B.getMatrix(ib, ie, columnindexset);
      try {
        check(SUB, M);
        try_success("getMatrix(int,int,int[])... ", "");
      } catch (java.lang.RuntimeException e) {
        errorCount =
            try_failure(
                errorCount, "getMatrix(int,int,int[])... ", "submatrix not successfully retreived");
      }
    } catch (java.lang.ArrayIndexOutOfBoundsException e) {
      errorCount =
          try_failure(
              errorCount,
              "getMatrix(int,int,int[])... ",
              "Unexpected ArrayIndexOutOfBoundsException");
    }
    try {
      M = B.getMatrix(badrowindexset, jb, je);
      errorCount =
          try_failure(
              errorCount,
              "getMatrix(int[],int,int)... ",
              "ArrayIndexOutOfBoundsException expected but not thrown");
    } catch (java.lang.ArrayIndexOutOfBoundsException e) {
      try {
        M = B.getMatrix(rowindexset, jb, je + B.getColumnDimension() + 1);
        errorCount =
            try_failure(
                errorCount,
                "getMatrix(int[],int,int)... ",
                "ArrayIndexOutOfBoundsException expected but not thrown");
      } catch (java.lang.ArrayIndexOutOfBoundsException e1) {
        try_success("getMatrix(int[],int,int)... ArrayIndexOutOfBoundsException... ", "");
      }
    } catch (java.lang.IllegalArgumentException e1) {
      errorCount =
          try_failure(
              errorCount,
              "getMatrix(int[],int,int)... ",
              "ArrayIndexOutOfBoundsException expected but not thrown");
    }
    try {
      M = B.getMatrix(rowindexset, jb, je);
      try {
        check(SUB, M);
        try_success("getMatrix(int[],int,int)... ", "");
      } catch (java.lang.RuntimeException e) {
        errorCount =
            try_failure(
                errorCount, "getMatrix(int[],int,int)... ", "submatrix not successfully retreived");
      }
    } catch (java.lang.ArrayIndexOutOfBoundsException e) {
      errorCount =
          try_failure(
              errorCount,
              "getMatrix(int[],int,int)... ",
              "Unexpected ArrayIndexOutOfBoundsException");
    }
    try {
      M = B.getMatrix(badrowindexset, columnindexset);
      errorCount =
          try_failure(
              errorCount,
              "getMatrix(int[],int[])... ",
              "ArrayIndexOutOfBoundsException expected but not thrown");
    } catch (java.lang.ArrayIndexOutOfBoundsException e) {
      try {
        M = B.getMatrix(rowindexset, badcolumnindexset);
        errorCount =
            try_failure(
                errorCount,
                "getMatrix(int[],int[])... ",
                "ArrayIndexOutOfBoundsException expected but not thrown");
      } catch (java.lang.ArrayIndexOutOfBoundsException e1) {
        try_success("getMatrix(int[],int[])... ArrayIndexOutOfBoundsException... ", "");
      }
    } catch (java.lang.IllegalArgumentException e1) {
      errorCount =
          try_failure(
              errorCount,
              "getMatrix(int[],int[])... ",
              "ArrayIndexOutOfBoundsException expected but not thrown");
    }
    try {
      M = B.getMatrix(rowindexset, columnindexset);
      try {
        check(SUB, M);
        try_success("getMatrix(int[],int[])... ", "");
      } catch (java.lang.RuntimeException e) {
        errorCount =
            try_failure(
                errorCount, "getMatrix(int[],int[])... ", "submatrix not successfully retreived");
      }
    } catch (java.lang.ArrayIndexOutOfBoundsException e) {
      errorCount =
          try_failure(
              errorCount,
              "getMatrix(int[],int[])... ",
              "Unexpected ArrayIndexOutOfBoundsException");
    }

    /** Various set methods: */
    try {
      B.set(B.getRowDimension(), B.getColumnDimension() - 1, 0.);
      errorCount =
          try_failure(
              errorCount,
              "set(int,int,double)... ",
              "OutOfBoundsException expected but not thrown");
    } catch (java.lang.ArrayIndexOutOfBoundsException e) {
      try {
        B.set(B.getRowDimension() - 1, B.getColumnDimension(), 0.);
        errorCount =
            try_failure(
                errorCount,
                "set(int,int,double)... ",
                "OutOfBoundsException expected but not thrown");
      } catch (java.lang.ArrayIndexOutOfBoundsException e1) {
        try_success("set(int,int,double)... OutofBoundsException... ", "");
      }
    } catch (java.lang.IllegalArgumentException e1) {
      errorCount =
          try_failure(
              errorCount,
              "set(int,int,double)... ",
              "OutOfBoundsException expected but not thrown");
    }
    try {
      B.set(ib, jb, 0.);
      tmp = B.get(ib, jb);
      try {
        check(tmp, 0.);
        try_success("set(int,int,double)... ", "");
      } catch (java.lang.RuntimeException e) {
        errorCount =
            try_failure(
                errorCount, "set(int,int,double)... ", "Matrix element not successfully set");
      }
    } catch (java.lang.ArrayIndexOutOfBoundsException e1) {
      errorCount =
          try_failure(
              errorCount, "set(int,int,double)... ", "Unexpected ArrayIndexOutOfBoundsException");
    }
    M = new Matrix(2, 3, 0.);
    try {
      B.setMatrix(ib, ie + B.getRowDimension() + 1, jb, je, M);
      errorCount =
          try_failure(
              errorCount,
              "setMatrix(int,int,int,int,Matrix)... ",
              "ArrayIndexOutOfBoundsException expected but not thrown");
    } catch (java.lang.ArrayIndexOutOfBoundsException e) {
      try {
        B.setMatrix(ib, ie, jb, je + B.getColumnDimension() + 1, M);
        errorCount =
            try_failure(
                errorCount,
                "setMatrix(int,int,int,int,Matrix)... ",
                "ArrayIndexOutOfBoundsException expected but not thrown");
      } catch (java.lang.ArrayIndexOutOfBoundsException e1) {
        try_success("setMatrix(int,int,int,int,Matrix)... ArrayIndexOutOfBoundsException... ", "");
      }
    } catch (java.lang.IllegalArgumentException e1) {
      errorCount =
          try_failure(
              errorCount,
              "setMatrix(int,int,int,int,Matrix)... ",
              "ArrayIndexOutOfBoundsException expected but not thrown");
    }
    try {
      B.setMatrix(ib, ie, jb, je, M);
      try {
        check(M.minus(B.getMatrix(ib, ie, jb, je)), M);
        try_success("setMatrix(int,int,int,int,Matrix)... ", "");
      } catch (java.lang.RuntimeException e) {
        errorCount =
            try_failure(
                errorCount,
                "setMatrix(int,int,int,int,Matrix)... ",
                "submatrix not successfully set");
      }
      B.setMatrix(ib, ie, jb, je, SUB);
    } catch (java.lang.ArrayIndexOutOfBoundsException e1) {
      errorCount =
          try_failure(
              errorCount,
              "setMatrix(int,int,int,int,Matrix)... ",
              "Unexpected ArrayIndexOutOfBoundsException");
    }
    try {
      B.setMatrix(ib, ie + B.getRowDimension() + 1, columnindexset, M);
      errorCount =
          try_failure(
              errorCount,
              "setMatrix(int,int,int[],Matrix)... ",
              "ArrayIndexOutOfBoundsException expected but not thrown");
    } catch (java.lang.ArrayIndexOutOfBoundsException e) {
      try {
        B.setMatrix(ib, ie, badcolumnindexset, M);
        errorCount =
            try_failure(
                errorCount,
                "setMatrix(int,int,int[],Matrix)... ",
                "ArrayIndexOutOfBoundsException expected but not thrown");
      } catch (java.lang.ArrayIndexOutOfBoundsException e1) {
        try_success("setMatrix(int,int,int[],Matrix)... ArrayIndexOutOfBoundsException... ", "");
      }
    } catch (java.lang.IllegalArgumentException e1) {
      errorCount =
          try_failure(
              errorCount,
              "setMatrix(int,int,int[],Matrix)... ",
              "ArrayIndexOutOfBoundsException expected but not thrown");
    }
    try {
      B.setMatrix(ib, ie, columnindexset, M);
      try {
        check(M.minus(B.getMatrix(ib, ie, columnindexset)), M);
        try_success("setMatrix(int,int,int[],Matrix)... ", "");
      } catch (java.lang.RuntimeException e) {
        errorCount =
            try_failure(
                errorCount,
                "setMatrix(int,int,int[],Matrix)... ",
                "submatrix not successfully set");
      }
      B.setMatrix(ib, ie, jb, je, SUB);
    } catch (java.lang.ArrayIndexOutOfBoundsException e1) {
      errorCount =
          try_failure(
              errorCount,
              "setMatrix(int,int,int[],Matrix)... ",
              "Unexpected ArrayIndexOutOfBoundsException");
    }
    try {
      B.setMatrix(rowindexset, jb, je + B.getColumnDimension() + 1, M);
      errorCount =
          try_failure(
              errorCount,
              "setMatrix(int[],int,int,Matrix)... ",
              "ArrayIndexOutOfBoundsException expected but not thrown");
    } catch (java.lang.ArrayIndexOutOfBoundsException e) {
      try {
        B.setMatrix(badrowindexset, jb, je, M);
        errorCount =
            try_failure(
                errorCount,
                "setMatrix(int[],int,int,Matrix)... ",
                "ArrayIndexOutOfBoundsException expected but not thrown");
      } catch (java.lang.ArrayIndexOutOfBoundsException e1) {
        try_success("setMatrix(int[],int,int,Matrix)... ArrayIndexOutOfBoundsException... ", "");
      }
    } catch (java.lang.IllegalArgumentException e1) {
      errorCount =
          try_failure(
              errorCount,
              "setMatrix(int[],int,int,Matrix)... ",
              "ArrayIndexOutOfBoundsException expected but not thrown");
    }
    try {
      B.setMatrix(rowindexset, jb, je, M);
      try {
        check(M.minus(B.getMatrix(rowindexset, jb, je)), M);
        try_success("setMatrix(int[],int,int,Matrix)... ", "");
      } catch (java.lang.RuntimeException e) {
        errorCount =
            try_failure(
                errorCount,
                "setMatrix(int[],int,int,Matrix)... ",
                "submatrix not successfully set");
      }
      B.setMatrix(ib, ie, jb, je, SUB);
    } catch (java.lang.ArrayIndexOutOfBoundsException e1) {
      errorCount =
          try_failure(
              errorCount,
              "setMatrix(int[],int,int,Matrix)... ",
              "Unexpected ArrayIndexOutOfBoundsException");
    }
    try {
      B.setMatrix(rowindexset, badcolumnindexset, M);
      errorCount =
          try_failure(
              errorCount,
              "setMatrix(int[],int[],Matrix)... ",
              "ArrayIndexOutOfBoundsException expected but not thrown");
    } catch (java.lang.ArrayIndexOutOfBoundsException e) {
      try {
        B.setMatrix(badrowindexset, columnindexset, M);
        errorCount =
            try_failure(
                errorCount,
                "setMatrix(int[],int[],Matrix)... ",
                "ArrayIndexOutOfBoundsException expected but not thrown");
      } catch (java.lang.ArrayIndexOutOfBoundsException e1) {
        try_success("setMatrix(int[],int[],Matrix)... ArrayIndexOutOfBoundsException... ", "");
      }
    } catch (java.lang.IllegalArgumentException e1) {
      errorCount =
          try_failure(
              errorCount,
              "setMatrix(int[],int[],Matrix)... ",
              "ArrayIndexOutOfBoundsException expected but not thrown");
    }
    try {
      B.setMatrix(rowindexset, columnindexset, M);
      try {
        check(M.minus(B.getMatrix(rowindexset, columnindexset)), M);
        try_success("setMatrix(int[],int[],Matrix)... ", "");
      } catch (java.lang.RuntimeException e) {
        errorCount =
            try_failure(
                errorCount, "setMatrix(int[],int[],Matrix)... ", "submatrix not successfully set");
      }
    } catch (java.lang.ArrayIndexOutOfBoundsException e1) {
      errorCount =
          try_failure(
              errorCount,
              "setMatrix(int[],int[],Matrix)... ",
              "Unexpected ArrayIndexOutOfBoundsException");
    }

    /**
     * Array-like methods: minus minusEquals plus plusEquals arrayLeftDivide arrayLeftDivideEquals
     * arrayRightDivide arrayRightDivideEquals arrayTimes arrayTimesEquals uminus
     */
    print("\nTesting array-like methods...\n");
    S = new Matrix(columnwise, nonconformld);
    R = Matrix.random(A.getRowDimension(), A.getColumnDimension());
    A = R;
    try {
      S = A.minus(S);
      errorCount =
          try_failure(errorCount, "minus conformance check... ", "nonconformance not raised");
    } catch (IllegalArgumentException e) {
      try_success("minus conformance check... ", "");
    }
    if (A.minus(R).norm1() != 0.) {
      errorCount =
          try_failure(
              errorCount,
              "minus... ",
              "(difference of identical Matrices is nonzero,\nSubsequent use of minus should be suspect)");
    } else {
      try_success("minus... ", "");
    }
    A = R.copy();
    A.minusEquals(R);
    Z = new Matrix(A.getRowDimension(), A.getColumnDimension());
    try {
      A.minusEquals(S);
      errorCount =
          try_failure(errorCount, "minusEquals conformance check... ", "nonconformance not raised");
    } catch (IllegalArgumentException e) {
      try_success("minusEquals conformance check... ", "");
    }
    if (A.minus(Z).norm1() != 0.) {
      errorCount =
          try_failure(
              errorCount,
              "minusEquals... ",
              "(difference of identical Matrices is nonzero,\nSubsequent use of minus should be suspect)");
    } else {
      try_success("minusEquals... ", "");
    }

    A = R.copy();
    B = Matrix.random(A.getRowDimension(), A.getColumnDimension());
    C = A.minus(B);
    try {
      S = A.plus(S);
      errorCount =
          try_failure(errorCount, "plus conformance check... ", "nonconformance not raised");
    } catch (IllegalArgumentException e) {
      try_success("plus conformance check... ", "");
    }
    try {
      check(C.plus(B), A);
      try_success("plus... ", "");
    } catch (java.lang.RuntimeException e) {
      errorCount = try_failure(errorCount, "plus... ", "(C = A - B, but C + B != A)");
    }
    C = A.minus(B);
    C.plusEquals(B);
    try {
      A.plusEquals(S);
      errorCount =
          try_failure(errorCount, "plusEquals conformance check... ", "nonconformance not raised");
    } catch (IllegalArgumentException e) {
      try_success("plusEquals conformance check... ", "");
    }
    try {
      check(C, A);
      try_success("plusEquals... ", "");
    } catch (java.lang.RuntimeException e) {
      errorCount = try_failure(errorCount, "plusEquals... ", "(C = A - B, but C = C + B != A)");
    }
    A = R.uminus();
    try {
      check(A.plus(R), Z);
      try_success("uminus... ", "");
    } catch (java.lang.RuntimeException e) {
      errorCount = try_failure(errorCount, "uminus... ", "(-A + A != zeros)");
    }
    A = R.copy();
    O = new Matrix(A.getRowDimension(), A.getColumnDimension(), 1.0);
    C = A.arrayLeftDivide(R);
    try {
      S = A.arrayLeftDivide(S);
      errorCount =
          try_failure(
              errorCount, "arrayLeftDivide conformance check... ", "nonconformance not raised");
    } catch (IllegalArgumentException e) {
      try_success("arrayLeftDivide conformance check... ", "");
    }
    try {
      check(C, O);
      try_success("arrayLeftDivide... ", "");
    } catch (java.lang.RuntimeException e) {
      errorCount = try_failure(errorCount, "arrayLeftDivide... ", "(M.\\M != ones)");
    }
    try {
      A.arrayLeftDivideEquals(S);
      errorCount =
          try_failure(
              errorCount,
              "arrayLeftDivideEquals conformance check... ",
              "nonconformance not raised");
    } catch (IllegalArgumentException e) {
      try_success("arrayLeftDivideEquals conformance check... ", "");
    }
    A.arrayLeftDivideEquals(R);
    try {
      check(A, O);
      try_success("arrayLeftDivideEquals... ", "");
    } catch (java.lang.RuntimeException e) {
      errorCount = try_failure(errorCount, "arrayLeftDivideEquals... ", "(M.\\M != ones)");
    }
    A = R.copy();
    try {
      A.arrayRightDivide(S);
      errorCount =
          try_failure(
              errorCount, "arrayRightDivide conformance check... ", "nonconformance not raised");
    } catch (IllegalArgumentException e) {
      try_success("arrayRightDivide conformance check... ", "");
    }
    C = A.arrayRightDivide(R);
    try {
      check(C, O);
      try_success("arrayRightDivide... ", "");
    } catch (java.lang.RuntimeException e) {
      errorCount = try_failure(errorCount, "arrayRightDivide... ", "(M./M != ones)");
    }
    try {
      A.arrayRightDivideEquals(S);
      errorCount =
          try_failure(
              errorCount,
              "arrayRightDivideEquals conformance check... ",
              "nonconformance not raised");
    } catch (IllegalArgumentException e) {
      try_success("arrayRightDivideEquals conformance check... ", "");
    }
    A.arrayRightDivideEquals(R);
    try {
      check(A, O);
      try_success("arrayRightDivideEquals... ", "");
    } catch (java.lang.RuntimeException e) {
      errorCount = try_failure(errorCount, "arrayRightDivideEquals... ", "(M./M != ones)");
    }
    A = R.copy();
    B = Matrix.random(A.getRowDimension(), A.getColumnDimension());
    try {
      S = A.arrayTimes(S);
      errorCount =
          try_failure(errorCount, "arrayTimes conformance check... ", "nonconformance not raised");
    } catch (IllegalArgumentException e) {
      try_success("arrayTimes conformance check... ", "");
    }
    C = A.arrayTimes(B);
    try {
      check(C.arrayRightDivideEquals(B), A);
      try_success("arrayTimes... ", "");
    } catch (java.lang.RuntimeException e) {
      errorCount = try_failure(errorCount, "arrayTimes... ", "(A = R, C = A.*B, but C./B != A)");
    }
    try {
      A.arrayTimesEquals(S);
      errorCount =
          try_failure(
              errorCount, "arrayTimesEquals conformance check... ", "nonconformance not raised");
    } catch (IllegalArgumentException e) {
      try_success("arrayTimesEquals conformance check... ", "");
    }
    A.arrayTimesEquals(B);
    try {
      check(A.arrayRightDivideEquals(B), R);
      try_success("arrayTimesEquals... ", "");
    } catch (java.lang.RuntimeException e) {
      errorCount =
          try_failure(errorCount, "arrayTimesEquals... ", "(A = R, A = A.*B, but A./B != R)");
    }

    /** I/O methods: read print serializable: writeObject readObject */
    print("\nTesting I/O methods...\n");
    try {
      DecimalFormat fmt = new DecimalFormat("0.0000E00");
      fmt.setDecimalFormatSymbols(new DecimalFormatSymbols(Locale.US));

      PrintWriter FILE = new PrintWriter(new FileOutputStream("JamaTestMatrix.out"));
      A.print(FILE, fmt, 10);
      FILE.close();
      R = Matrix.read(new BufferedReader(new FileReader("JamaTestMatrix.out")));
      if (A.minus(R).norm1() < .001) {
        try_success("print()/read()...", "");
      } else {
        errorCount =
            try_failure(
                errorCount,
                "print()/read()...",
                "Matrix read from file does not match Matrix printed to file");
      }
    } catch (java.io.IOException ioe) {
      warningCount =
          try_warning(
              warningCount,
              "print()/read()...",
              "unexpected I/O error, unable to run print/read test;  check write permission in current directory and retry");
    } catch (Exception e) {
      try {
        e.printStackTrace(System.out);
        warningCount =
            try_warning(
                warningCount,
                "print()/read()...",
                "Formatting error... will try JDK1.1 reformulation...");
        DecimalFormat fmt = new DecimalFormat("0.0000");
        PrintWriter FILE = new PrintWriter(new FileOutputStream("JamaTestMatrix.out"));
        A.print(FILE, fmt, 10);
        FILE.close();
        R = Matrix.read(new BufferedReader(new FileReader("JamaTestMatrix.out")));
        if (A.minus(R).norm1() < .001) {
          try_success("print()/read()...", "");
        } else {
          errorCount =
              try_failure(
                  errorCount,
                  "print()/read() (2nd attempt) ...",
                  "Matrix read from file does not match Matrix printed to file");
        }
      } catch (java.io.IOException ioe) {
        warningCount =
            try_warning(
                warningCount,
                "print()/read()...",
                "unexpected I/O error, unable to run print/read test;  check write permission in current directory and retry");
      }
    }

    R = Matrix.random(A.getRowDimension(), A.getColumnDimension());
    String tmpname = "TMPMATRIX.serial";
    try {
      @SuppressWarnings("resource")
      ObjectOutputStream out = new ObjectOutputStream(new FileOutputStream(tmpname));
      out.writeObject(R);
      @SuppressWarnings("resource")
      ObjectInputStream sin = new ObjectInputStream(new FileInputStream(tmpname));
      A = (Matrix) sin.readObject();

      try {
        check(A, R);
        try_success("writeObject(Matrix)/readObject(Matrix)...", "");
      } catch (java.lang.RuntimeException e) {
        errorCount =
            try_failure(
                errorCount,
                "writeObject(Matrix)/readObject(Matrix)...",
                "Matrix not serialized correctly");
      }
    } catch (java.io.IOException ioe) {
      warningCount =
          try_warning(
              warningCount,
              "writeObject()/readObject()...",
              "unexpected I/O error, unable to run serialization test;  check write permission in current directory and retry");
    } catch (Exception e) {
      errorCount =
          try_failure(
              errorCount,
              "writeObject(Matrix)/readObject(Matrix)...",
              "unexpected error in serialization test");
    }

    /**
     * LA methods: transpose times cond rank det trace norm1 norm2 normF normInf solve
     * solveTranspose inverse chol eig lu qr svd
     */
    print("\nTesting linear algebra methods...\n");
    A = new Matrix(columnwise, 3);
    T = new Matrix(tvals);
    T = A.transpose();
    try {
      check(A.transpose(), T);
      try_success("transpose...", "");
    } catch (java.lang.RuntimeException e) {
      errorCount = try_failure(errorCount, "transpose()...", "transpose unsuccessful");
    }
    A.transpose();
    try {
      check(A.norm1(), columnsummax);
      try_success("norm1...", "");
    } catch (java.lang.RuntimeException e) {
      errorCount = try_failure(errorCount, "norm1()...", "incorrect norm calculation");
    }
    try {
      check(A.normInf(), rowsummax);
      try_success("normInf()...", "");
    } catch (java.lang.RuntimeException e) {
      errorCount = try_failure(errorCount, "normInf()...", "incorrect norm calculation");
    }
    try {
      check(A.normF(), Math.sqrt(sumofsquares));
      try_success("normF...", "");
    } catch (java.lang.RuntimeException e) {
      errorCount = try_failure(errorCount, "normF()...", "incorrect norm calculation");
    }
    try {
      check(A.trace(), sumofdiagonals);
      try_success("trace()...", "");
    } catch (java.lang.RuntimeException e) {
      errorCount = try_failure(errorCount, "trace()...", "incorrect trace calculation");
    }
    try {
      check(A.getMatrix(0, A.getRowDimension() - 1, 0, A.getRowDimension() - 1).det(), 0.);
      try_success("det()...", "");
    } catch (java.lang.RuntimeException e) {
      errorCount = try_failure(errorCount, "det()...", "incorrect determinant calculation");
    }
    SQ = new Matrix(square);
    try {
      check(A.times(A.transpose()), SQ);
      try_success("times(Matrix)...", "");
    } catch (java.lang.RuntimeException e) {
      errorCount =
          try_failure(
              errorCount, "times(Matrix)...", "incorrect Matrix-Matrix product calculation");
    }
    try {
      check(A.times(0.), Z);
      try_success("times(double)...", "");
    } catch (java.lang.RuntimeException e) {
      errorCount =
          try_failure(
              errorCount, "times(double)...", "incorrect Matrix-scalar product calculation");
    }

    A = new Matrix(columnwise, 4);
    QRDecomposition QR = A.qr();
    R = QR.getR();
    try {
      check(A, QR.getQ().times(R));
      try_success("QRDecomposition...", "");
    } catch (java.lang.RuntimeException e) {
      errorCount =
          try_failure(errorCount, "QRDecomposition...", "incorrect QR decomposition calculation");
    }
    SingularValueDecomposition SVD = A.svd();
    try {
      check(A, SVD.getU().times(SVD.getS().times(SVD.getV().transpose())));
      try_success("SingularValueDecomposition...", "");
    } catch (java.lang.RuntimeException e) {
      errorCount =
          try_failure(
              errorCount,
              "SingularValueDecomposition...",
              "incorrect singular value decomposition calculation");
    }
    DEF = new Matrix(rankdef);
    try {
      check(DEF.rank(), Math.min(DEF.getRowDimension(), DEF.getColumnDimension()) - 1);
      try_success("rank()...", "");
    } catch (java.lang.RuntimeException e) {
      errorCount = try_failure(errorCount, "rank()...", "incorrect rank calculation");
    }
    B = new Matrix(condmat);
    SVD = B.svd();
    double[] singularvalues = SVD.getSingularValues();
    try {
      check(
          B.cond(),
          singularvalues[0]
              / singularvalues[Math.min(B.getRowDimension(), B.getColumnDimension()) - 1]);
      try_success("cond()...", "");
    } catch (java.lang.RuntimeException e) {
      errorCount = try_failure(errorCount, "cond()...", "incorrect condition number calculation");
    }
    int n = A.getColumnDimension();
    A = A.getMatrix(0, n - 1, 0, n - 1);
    A.set(0, 0, 0.);
    LUDecomposition LU = A.lu();
    try {
      check(A.getMatrix(LU.getPivot(), 0, n - 1), LU.getL().times(LU.getU()));
      try_success("LUDecomposition...", "");
    } catch (java.lang.RuntimeException e) {
      errorCount =
          try_failure(errorCount, "LUDecomposition...", "incorrect LU decomposition calculation");
    }
    X = A.inverse();
    try {
      check(A.times(X), Matrix.identity(3, 3));
      try_success("inverse()...", "");
    } catch (java.lang.RuntimeException e) {
      errorCount = try_failure(errorCount, "inverse()...", "incorrect inverse calculation");
    }
    O = new Matrix(SUB.getRowDimension(), 1, 1.0);
    SOL = new Matrix(sqSolution);
    SQ = SUB.getMatrix(0, SUB.getRowDimension() - 1, 0, SUB.getRowDimension() - 1);
    try {
      check(SQ.solve(SOL), O);
      try_success("solve()...", "");
    } catch (java.lang.IllegalArgumentException e1) {
      errorCount = try_failure(errorCount, "solve()...", e1.getMessage());
    } catch (java.lang.RuntimeException e) {
      errorCount = try_failure(errorCount, "solve()...", e.getMessage());
    }
    A = new Matrix(pvals);
    CholeskyDecomposition Chol = A.chol();
    Matrix L = Chol.getL();
    try {
      check(A, L.times(L.transpose()));
      try_success("CholeskyDecomposition...", "");
    } catch (java.lang.RuntimeException e) {
      errorCount =
          try_failure(
              errorCount,
              "CholeskyDecomposition...",
              "incorrect Cholesky decomposition calculation");
    }
    X = Chol.solve(Matrix.identity(3, 3));
    try {
      check(A.times(X), Matrix.identity(3, 3));
      try_success("CholeskyDecomposition solve()...", "");
    } catch (java.lang.RuntimeException e) {
      errorCount =
          try_failure(
              errorCount,
              "CholeskyDecomposition solve()...",
              "incorrect Choleskydecomposition solve calculation");
    }
    EigenvalueDecomposition Eig = A.eig();
    Matrix D = Eig.getD();
    Matrix V = Eig.getV();
    try {
      check(A.times(V), V.times(D));
      try_success("EigenvalueDecomposition (symmetric)...", "");
    } catch (java.lang.RuntimeException e) {
      errorCount =
          try_failure(
              errorCount,
              "EigenvalueDecomposition (symmetric)...",
              "incorrect symmetric Eigenvalue decomposition calculation");
    }
    A = new Matrix(evals);
    Eig = A.eig();
    D = Eig.getD();
    V = Eig.getV();
    try {
      check(A.times(V), V.times(D));
      try_success("EigenvalueDecomposition (nonsymmetric)...", "");
    } catch (java.lang.RuntimeException e) {
      errorCount =
          try_failure(
              errorCount,
              "EigenvalueDecomposition (nonsymmetric)...",
              "incorrect nonsymmetric Eigenvalue decomposition calculation");
    }

    try {
      print("\nTesting Eigenvalue; If this hangs, we've failed\n");
      Matrix bA = new Matrix(badeigs);
      EigenvalueDecomposition bEig = bA.eig();
      try_success("EigenvalueDecomposition (hang)...", "");
    } catch (java.lang.RuntimeException e) {
      errorCount =
          try_failure(errorCount, "EigenvalueDecomposition (hang)...", "incorrect termination");
    }

    print("\nTestMatrix completed.\n");
    print("Total errors reported: " + Integer.toString(errorCount) + "\n");
    print("Total warnings reported: " + Integer.toString(warningCount) + "\n");
  }