public static int Test_RationalSquareMatrix() { RationalFactory rf = new RationalFactory(); RealFactory rff = new RealFactory(); RationalSquareMatrix A = rf[3, 3, "1", "2", "-2", "-1", "1", "3", "2", "-1", "2" ]; SquareRealMatrix SA = rff[3, 3, 7, 2, -2, 3, 1, 3, 8, -1, 2 ]; RationalVector rv = rf["7", "3", "8"]; StringBuilder sb = new StringBuilder();//Start building latex sb.Append(@"\begin{aligned}"); sb.AppendFormat(@"&A = {0}", A.ToLatex() + @" \\ \\"); //display A matrix A[0] = rv; sb.AppendFormat(@"&Ab = {0}", A.ToLatex()); //display Vec A sb.AppendFormat(@"&Det = {0}", SA.Determinant()); //display Vec A sb.Append(@"\end{aligned}"); HtmlOutputMethods.WriteLatexEqToHtmlAndLaunch(sb.ToString(), "Test_VecOperator.html"); //display Latex via mathjax return(0); }
public static int Test_KroneckerSum() { RealFactory rf = new RealFactory(); SquareRealMatrix A = rf[2, 2, 1, -1, 0, 2 ]; SquareRealMatrix B = rf[2, 2, 1, 0, 2, -1 ]; StringBuilder sb = new StringBuilder();//Start building latex sb.Append(@"\begin{aligned}"); sb.AppendFormat(@"&A = {0}\;B = {1}", A.ToLatex(), B.ToLatex() + @" \\ \\"); sb.AppendFormat(@"&C = A\;\oplus\;B = {0}", SquareRealMatrix.KroneckerSum(A, B).ToLatex()); sb.Append(@"\end{aligned}"); HtmlOutputMethods.WriteLatexEqToHtmlAndLaunch(sb.ToString(), "Test_KroneckerSum.html"); //display Latex via mathjax return(0); }
public static int Test_VecOperator() { RealFactory rf = new RealFactory(); //create a real factory SquareRealMatrix A = rf[2, 2, //create a 2 X 2 real matrix 1, 2, 3, 4 ]; RealVector VecA = A.Vec("A"); //use Vec operator giving the matrix a name StringBuilder sb = new StringBuilder(); //Start building latex sb.Append(@"\begin{aligned}"); sb.AppendFormat(@"&A = {0}", A.ToLatex() + @" \\ \\"); //display A matrix sb.AppendFormat(@"&{0}", VecA.ToLatex("F")); //display Vec A sb.Append(@"\end{aligned}"); HtmlOutputMethods.WriteLatexEqToHtmlAndLaunch(sb.ToString(), "Test_VecOperator.html"); //display Latex via mathjax return(0); }
public static int Test_TraceFunction() { RealFactory rf = new RealFactory(); //create a real factory SquareRealMatrix A = rf[3, 3, //create a 3 X 3 real matrix 1, 2, 3, 7, 8, 9, 6, 5, 4 ]; StringBuilder sb = new StringBuilder();//Start building latex sb.Append(@"\begin{aligned}"); sb.AppendFormat(@"&A = {0}", A.ToLatex() + @" \\ \\"); //display A matrix sb.AppendFormat(@"&tr A = {0}", A.Trace() + @" \\ \\"); //display trace sb.Append(@"\end{aligned}"); HtmlOutputMethods.WriteLatexEqToHtmlAndLaunch(sb.ToString(), "Test_TraceFunction.html"); //display Latex via mathjax return(0); }