public static void Main()
{
AssocArray <int, double> assArr = new AssocArray <int, double> ();
assArr[0] = 2.0;
assArr[100] = 3.0;
assArr[10] = 43.0;
assArr[1000] = 34.0;
Console.WriteLine(assArr[100]);
foreach (KeyValuePair <int, double> kvp in assArr)
{
Console.WriteLine("{0}, {1}", kvp.Key, kvp.Value);
}
Set <string> RowNames = new Set <string>();
RowNames.Insert("A1");
RowNames.Insert("A2");
RowNames.Insert("A3");
RowNames.Insert("A4");
RowNames.Insert("B1");
Set <string> ColNames = new Set <string>();
ColNames.Insert("C1");
ColNames.Insert("C2");
ColNames.Insert("C3");
ColNames.Insert("C4");
ColNames.Insert("C5");
//double defaultValue = 10.0;
// Contents of associative matrix (numeric values)
NumericMatrix <double> mat1 = new NumericMatrix <double>(RowNames.Size(), ColNames.Size());
mat1.initCells(3.0);
AssocMatrix <string, string, double> myMat = new AssocMatrix <string, string, double>(RowNames, ColNames, mat1);
Factory fs = new DoubleFactory();
object b;
b = fs.create();
Set <double> s1 = (Set <double>)b;
Console.WriteLine(s1.Size());
}
static void Main(string[] args)
{
// Jagged arrays
// Lower triangular matrix
int NR = 10;
int NC = 10;
double[][] lowerTriangular = new double[NR][];
for (int j = 0; j < NC; j++)
{
lowerTriangular[j] = new double[j + 1];
}
// Generic arrays for starters
NR = 4;
NC = 4;
//MatrixTwoArrayImpl<double> myMatrixStructure = new MatrixTwoArrayImpl<double>(NR, NC);
UpperTriangularImpl <double> myMatrixStructure = new UpperTriangularImpl <double>(NR, NC);
GenericMatrix <double, MatrixTwoArrayImpl <double> > myMatrix = new GenericMatrix <double, MatrixTwoArrayImpl <double> >(NR, NC);
myMatrix.extendedPrint();
for (int i = myMatrix.MinRowIndex; i <= myMatrix.MaxRowIndex; i++)
{
for (int j = myMatrix.MinColumnIndex; j <= myMatrix.MaxColumnIndex; j++)
{
myMatrix[i, j] = -1;
}
}
myMatrix.extendedPrint();
MatrixOneArrayImpl <double> myMatrixStructure2 = new MatrixOneArrayImpl <double>(NR, NC);
GenericMatrix <double, MatrixOneArrayImpl <double> > myMatrix2 = new GenericMatrix <double, MatrixOneArrayImpl <double> >(NR, NC);
myMatrix2.extendedPrint();
for (int i = myMatrix2.MinRowIndex; i <= myMatrix2.MaxRowIndex; i++)
{
for (int j = myMatrix2.MinColumnIndex; j <= myMatrix2.MaxColumnIndex; j++)
{
myMatrix2[i, j] = 2;
}
}
myMatrix2[myMatrix2.MinRowIndex, myMatrix2.MinColumnIndex] = 99;
myMatrix2[myMatrix2.MaxRowIndex, myMatrix2.MaxColumnIndex] = 98;
myMatrix2.extendedPrint();
// Algebra and matrix manipulation
int J = 3;
Vector <double> a = new Vector <double>(J, 1, 1.0);
Vector <double> b = new Vector <double>(J, 1, 2.0);
Vector <double> c = new Vector <double>(J, 1, 1.0);
Vector <double> r = new Vector <double>(J, 1, 0.0); // Right-hand side
for (int i = r.MinIndex; i <= r.MaxIndex; i++)
{
r[i] = 1.0;
}
r[2] = -1.0;
/* r[1] = 4.0;
* r[2] = 10.0;
* r[3] = 8.0;*/
Console.WriteLine("LU stuff");
LUTridiagonalSolver mySolver = new LUTridiagonalSolver(a, b, c, r);
Vector <double> result = mySolver.solve();
Console.WriteLine("Solution");
result.extendedPrint();
// Array
int startIndex = -1;
Array <double> arr = new Array <double>(10, startIndex);
for (int j = arr.MinIndex; j <= arr.MaxIndex; j++)
{
arr[j] = (double)(j);
}
arr[arr.MinIndex] = 99.98;
// arr.extendedPrint();
// Matrix
Matrix <int> mat = new Matrix <int>(4, 4, 2, 1);
mat[mat.MinRowIndex, mat.MinColumnIndex] = 99;
mat.initCells(3);
mat[mat.MinRowIndex, mat.MinColumnIndex] = 98;
mat.extendedPrint();
for (int i = mat.MinRowIndex; i <= mat.MaxRowIndex; i++)
{
for (int j = mat.MinColumnIndex; j <= mat.MaxColumnIndex; j++)
{
mat[i, j] = i * j;
}
}
mat[mat.MinRowIndex, mat.MinColumnIndex] = 98;
mat.extendedPrint();
// Vectors
Vector <double> vec = new Vector <double>(10);
for (int j = vec.MinIndex; j <= vec.MaxIndex; j++)
{
vec[j] = (double)(vec.MaxIndex - j);
}
vec.print();
Vector <double> vec2 = vec + vec;
vec2.print();
vec2 = vec - vec;
vec2.print();
vec2 = vec - 3.0;
vec2.print();
vec2 = 2.0 + vec;
vec2.print();
// Numeric Matrices, initial tests
NumericMatrix <double> mat2 = new NumericMatrix <double>(4, 4);
mat2.initCells(1.0);
mat2.extendedPrint();
for (int i = mat2.MinRowIndex; i <= mat2.MaxRowIndex; i++)
{
for (int j = mat2.MinColumnIndex; j <= mat2.MaxColumnIndex; j++)
{
mat2[i, j] = i * j;
}
}
Console.WriteLine("Matrix multiplication...");
Vector <double> vec3 = new Vector <double>(4, 1, 2.0);
Vector <double> vec4 = mat2 * vec3;
vec4.print();
NumericMatrix <double> mat4 = mat2 * mat2;
mat4.extendedPrint();
// Numeric Matrices, testing accuracy
/* int rows = 10;
* int columns = 10;
* int startRow = 1;
* int startColumn = 1;
* NumericMatrix<double> A = new NumericMatrix<double>(rows, columns, startRow, startColumn);
* A[A.MinRowIndex, A.MinColumnIndex] = 1.0; A[A.MinRowIndex, A.MinColumnIndex + 1] = 2.0;
* A[A.MinRowIndex + 1, A.MinColumnIndex] = 3.0; A[A.MinRowIndex + 1, A.MinColumnIndex + 1] = 4.0;
* // A.extendedPrint();
*
* int si = 1; // Start index
* Vector<double> x = new Vector<double>(10, si);
* x[si] = 1.0;
* x[si + 1] = 2.0;
*
* Vector<double> y = A * x;
* // y.extendedPrint();
*
* NumericMatrix<double> B = A * A;
* // B.extendedPrint();
*
* B = B * B;
* B = B * B;
* // B.extendedPrint();
*
* // Modify rows and columns of matrices
* Vector<double> r1 = new Vector<double>(10, 1, 3.3);
* //r1.extendedPrint();
* // A.Row(A.MinRowIndex, r1);
* // A.Column(A.MaxColumnIndex, r1);
* A[A.MinRowIndex, A.MinColumnIndex] = 00.0001;
* A[A.MaxRowIndex, A.MaxColumnIndex] = -99.99;
* A[A.MaxRowIndex, A.MinColumnIndex] = 88.88;
* A.extendedPrint();
*
* // Slices
* Vector<double> vecSlice = A.getRow(A.MaxRowIndex);
* vecSlice.extendedPrint();
* vecSlice = A.getColumn(A.MinColumnIndex);
* vecSlice.extendedPrint();
*
* int[, ,] tensor = new int[3, 3, 3];
* for (int i = 0; i < tensor.GetLength(0); i++)
* for (int j = 0; j < tensor.GetLength(1); j++)
* for (int k = 0; k < tensor.GetLength(2); k++)
* tensor[i, j, k] = i * j * k;
*
* /* for (int i = 0; i < td.GetLength(0); i++)
* for (int j = 0; j < td.GetLength(0); j++)
* for (int k = 0; k < td.GetLength(0); k++)
* Console.Write(td[i, j, k]); Console.Write(", ");*/
//A.Column(2, r1);
// Tensors
int nrows = 2;
int ncols = 2;
int ndepth = 10;
Tensor <double> myTensor = new Tensor <double>(nrows, ncols, ndepth);
// myTensor[myTensor.MinThirdIndex] = B;
for (int j = myTensor.MinThirdIndex + 1; j <= myTensor.MaxThirdIndex; j++)
{
// myTensor[j] = A*A;
}
for (int j = myTensor.MinThirdIndex + 1; j <= myTensor.MaxThirdIndex; j++)
{
// myTensor[j].extendedPrint();
}
}
static void Main()
{
int startIndex = -1;
Array <double> arr = new Array <double>(10, startIndex);
for (int j = arr.MinIndex; j <= arr.MaxIndex; j++)
{
arr[j] = (double)(j);
}
arr[arr.MinIndex] = 99.98;
arr.print();
// Create an array from a C# array
// Array of built-in types
int size = 10;
int[] arr2 = new int[size]; // Store data in a contiguous block
// Initialise
for (int j = 0; j < size; ++j)
{
arr2[j] = j + 1;
}
Array <int> arr3 = new Array <int>(arr2);
arr.print();
// Array of strings
Array <string> arr4 = new Array <string>(20);
// Arrays of dates
Array <DateTime> arr5 = new Array <DateTime>(6);
for (int j = arr5.MinIndex; j <= arr5.MaxIndex; j++)
{
arr5[j] = DateTime.Now;
Console.WriteLine(arr5[j].ToString("U")); // UTC (Coordinated Universal Time) ~ GMT
}
// Matrix
int NR = 4; int NC = 4;
int rowStart = 1; int colStart = 1;
Matrix <int> mat = new Matrix <int>(NR, NC, rowStart, colStart); // Values undefined
// mat[mat.MinRowIndex, mat.MinColumnIndex] = 99;
mat.initCells(3); // Initialise all values
// mat[mat.MinRowIndex, mat.MinColumnIndex] = 98;
mat.print();
for (int i = mat.MinRowIndex; i <= mat.MaxRowIndex; i++)
{
for (int j = mat.MinColumnIndex; j <= mat.MaxColumnIndex; j++)
{
mat[i, j] = i;
}
}
// mat[mat.MinRowIndex, mat.MinColumnIndex] = 98;
mat.print();
// Slices of a matrix
Console.WriteLine("slices");
Array <int> rowSlice = mat.getRow(2); // 2nd index
rowSlice.print();
Array <int> colSlice = mat.getColumn(4); // 4th index
colSlice.print();
// Modify rows and columns
mat.setRow(rowSlice, 4);
mat.print();
int size2 = 4; int start = 1; int val = 99;
Array <int> slice2 = new Array <int>(size2, start, val);
mat.setColumn(slice2, 1);
mat.print();
// Vectors and numeric matrices
int J = 10;
int sIndex = 1;
// Size, start index and element values
Vector <double> a = new Vector <double>(J, sIndex, 3.0);
Vector <double> b = new Vector <double>(J, sIndex, 2.0);
Vector <double> c = new Vector <double>(J, startIndex);
c = a + b;
c.print();
c = c + 4.0;
c.print();
c = -4.0 + c;
c.print();
c = a - b;
c.print();
c = c * 2.0;
c.print();
c = 0.5 * c;
c.print();
double ip = c.InnerProduct(a);
Console.WriteLine("Inner product {0} ", ip);
// Matrices
int R = 2; int C = 2;
int startRow = 1; int startColumn = 1;
NumericMatrix <double> A = new NumericMatrix <double>(R, C, startRow, startColumn);
NumericMatrix <double> B = new NumericMatrix <double>(R, C, startRow, startColumn);
A.initCells(1.0);
A.print();
for (int i = A.MinRowIndex; i <= A.MaxRowIndex; i++)
{
for (int j = A.MinColumnIndex; j <= A.MaxColumnIndex; j++)
{
A[i, j] = i * j;
B[i, j] = -i * j;
}
}
A.print(); B.print();
// Interactions with scalars and vectors
double factor = 2.0;
A = factor * A;
Console.WriteLine("Original matrix A");
A.print();
Vector <double> x = new Vector <double>(A.Columns, A.MinColumnIndex);
for (int j = x.MinIndex; j <= x.MaxIndex; j++)
{
x[j] = j;
}
x.print();
x = A * x;
x.print();
NumericMatrix <double> D = new NumericMatrix <double>(R, C, startRow, startColumn);
D = 3.0 * A;
D.print();
D = A + A;
D.print();
D = A * A;
D.print();
// Tensors, calculate powers of a matrix and print
int nrows = 2;
int ncols = 2;
int ndepth = 100;
NumericMatrix <double> T = new NumericMatrix <double>(nrows, ncols);
T[1, 1] = 1.0; T[2, 2] = 1.0;
T[1, 2] = .001; T[2, 1] = 0.0;
Tensor <double> myTensor = new Tensor <double>(nrows, ncols, ndepth);
myTensor[myTensor.MinThirdIndex] = T;
for (int j = myTensor.MinThirdIndex + 1; j <= myTensor.MaxThirdIndex; j++)
{
myTensor[j] = T * myTensor[j - 1];
}
for (int j = myTensor.MinThirdIndex + 1; j <= myTensor.MaxThirdIndex; j++)
{
// Print each so often matrix
if ((j / 10) * 10 == j)
{
myTensor[j].print();
}
}
// Out of bounds exceptions
try
{
Array <int> myArr = new Array <int>(20);
myArr[10000] = 34;
}
catch (IndexOutOfRangeException e)
{
Console.WriteLine(e.Message);
}
int N = 35;
int N2 = 100000;
NumericMatrix <double> A2 = new NumericMatrix <double>(N, N);
NumericMatrix <double> B2 = new NumericMatrix <double>(N, N2);
Console.WriteLine("Processing...");
NumericMatrix <double> C2 = A2 * B2;
N = 50;
N2 = 1000;
Console.WriteLine("Processing...");
NumericMatrix <double> A3 = new NumericMatrix <double>(N, N);
NumericMatrix <double> B3 = new NumericMatrix <double>(N, N);
NumericMatrix <double> C3;
for (int i = 0; i <= N2; i++)
{
C3 = A3 * B3;
}
}