public void TestInverseVarianceCovarianceMatrix()
{
Console.WriteLine("計画行列の分散・共分行列を返すメソッドのテストです。");
double[,] A = new double[3, 2];
A[0, 0] = -1;
A[0, 1] = 8;
A[1, 0] = 0;
A[1, 1] = 4;
A[2, 0] = 1;
A[2, 1] = -4;
TestMatrix.WriteLineMatrix(A, "計画行列" + nameof(A));
double[,] B = DesignMatrix.VarianceCovariance(A);
TestMatrix.WriteLineMatrix(B, nameof(A) + "の分散・共分散行列" + nameof(B));
double[,] C = DesignMatrix.InverseVarianceCovarianceMatrix(A);
TestMatrix.WriteLineMatrix(C, nameof(A) + "の分散・共分散行列の逆行列" + nameof(C));
double[,] D = Matrix.Multiply(B, C);
TestMatrix.WriteLineMatrix(D, nameof(B) + nameof(C));
}
public void TestSign()
{
Console.WriteLine("行列の各要素の符号を±1で表すメソッドのテストです。(ただし0.0は0を返す)");
double[,] A = new double[2, 2];
A[0, 0] = 0;
A[0, 1] = 1;
A[1, 0] = -2;
A[1, 1] = 3;
TestMatrix.WriteLineMatrix(A, nameof(A));
double[,] B = Matrix.Sign(A);
TestMatrix.WriteLineMatrix(B, nameof(A) + "の各要素の符号を±1で表した行列" + nameof(B));
}
public void TestLInfinityNorm()
{
Console.WriteLine("L∞の計算を行うメソッドのテストです。");
double[,] A = new double[2, 2];
A[0, 0] = 0;
A[0, 1] = 1;
A[1, 0] = 2;
A[1, 1] = 3;
TestMatrix.WriteLineMatrix(A, nameof(A));
double d = Matrix.LInfinityNorm(A);
Console.WriteLine(nameof(A) + "のL∞ノルムは" + d);
}
public void TestClone()
{
Console.WriteLine("行列をコピーするメソッドのテストです。");
double[,] A = new double[2, 2];
A[0, 0] = 0;
A[0, 1] = 1;
A[1, 0] = 2;
A[1, 1] = 3;
TestMatrix.WriteLineMatrix(A, nameof(A));
double[,] B = Matrix.Clone(A);
TestMatrix.WriteLineMatrix(B, nameof(A) + "の各要素をコピーした行列" + nameof(B));
}
public void TestReciprocalNumber()
{
Console.WriteLine("行列の各要素の逆数を返すメソッドのテストです。");
double[,] A = new double[2, 2];
A[0, 0] = 0;
A[0, 1] = 1;
A[1, 0] = 2;
A[1, 1] = 3;
TestMatrix.WriteLineMatrix(A, nameof(A));
double[,] B = Matrix.ReciprocalNumber(A);
TestMatrix.WriteLineMatrix(B, nameof(A) + "の各要素を逆数に変換した行列" + nameof(B));
}
public void TestInverse()
{
Console.WriteLine("逆行列の計算を行うメソッドのテストです。");
double[,] A = new double[2, 2];
A[0, 0] = 2;
A[0, 1] = 0;
A[1, 0] = 0;
A[1, 1] = 2;
TestMatrix.WriteLineMatrix(A, nameof(A));
double[,] B = Matrix.Inverse(A);
TestMatrix.WriteLineMatrix(B, nameof(A) + "の逆行列");
}
public void TestNaturalLogarithm()
{
Console.WriteLine("行列の各要素の自然対数を計算するメソッドのテストです。");
double[,] A = new double[2, 2];
A[0, 0] = 1;
A[0, 1] = Math.E;
A[1, 0] = Math.E * Math.E;
A[1, 1] = 4;
TestMatrix.WriteLineMatrix(A, nameof(A));
double[,] B = Matrix.NaturalLogarithm(A);
TestMatrix.WriteLineMatrix(B, nameof(A) + "の各要素の自然対数に変換した行列" + nameof(B));
}
public void TestTranspose()
{
Console.WriteLine("行列の転置行列を返すメソッドのテストです。");
double[,] A = new double[2, 2];
A[0, 0] = 0;
A[0, 1] = 1;
A[1, 0] = 2;
A[1, 1] = 3;
TestMatrix.WriteLineMatrix(A, nameof(A));
double[,] B = Matrix.Transpose(A);
TestMatrix.WriteLineMatrix(B, nameof(A) + "のの転置行列" + nameof(B));
}
public void TestTrace()
{
Console.WriteLine("正方行列の跡を計算するメソッドのテストです。");
double[,] A = new double[2, 2];
A[0, 0] = 1;
A[0, 1] = 1;
A[1, 0] = 2;
A[1, 1] = 3;
TestMatrix.WriteLineMatrix(A, nameof(A));
double d = Matrix.Trace(A);
Console.WriteLine(nameof(A) + "の跡は" + d);
}
public void TestSum()
{
Console.WriteLine("行列の各要素の和を返すメソッドのテストです。");
double[,] A = new double[2, 2];
A[0, 0] = 0;
A[0, 1] = 1;
A[1, 0] = 2;
A[1, 1] = 3;
TestMatrix.WriteLineMatrix(A, nameof(A));
double d = Matrix.Sum(A);
Console.WriteLine(nameof(A) + "の行列の各要素の和は" + d);
}
public void TestRowVector()
{
Console.WriteLine("行列から行ベクトルを取り出すメソッドのテストです。");
double[,] A = new double[2, 2];
A[0, 0] = 0;
A[0, 1] = 1;
A[1, 0] = 2;
A[1, 1] = 3;
TestMatrix.WriteLineMatrix(A, nameof(A));
double[,] b = Matrix.RowVector(A, 1);
TestMatrix.WriteLineMatrix(b, nameof(A) + "の第1行を取り出した列ベクトル" + nameof(b));
}
public void TestL2Norm()
{
Console.WriteLine("計画行列のL2ノルムに関するメソッドのテストです。");
double[,] A = new double[3, 2];
A[0, 0] = 0;
A[0, 1] = 2;
A[1, 0] = 1;
A[1, 1] = 4;
A[2, 0] = 2;
A[2, 1] = 6;
TestMatrix.WriteLineMatrix(A, "計画行列" + nameof(A));
double[] B = DesignMatrix.L2Norms(A);
Console.WriteLine("計画行列" + nameof(A) + "の各行ベクトルのL2ノルムを返す");
foreach (double d in B)
{
Console.WriteLine(d);
}
Console.WriteLine("");
double bmax = DesignMatrix.L2NormMaximum(A);
Console.WriteLine("計画行列" + nameof(A) + "の各行ベクトルのL2ノルムの最大値");
Console.WriteLine(bmax);
Console.WriteLine("");
int bmaxInt = DesignMatrix.L2NormMaximumIndex(A);
Console.WriteLine("計画行列" + nameof(A) + "の各行ベクトルのL2ノルムの最大値の要素番号");
Console.WriteLine(bmaxInt);
Console.WriteLine("");
double bmin = DesignMatrix.L2NormMinimum(A);
Console.WriteLine("計画行列" + nameof(A) + "の各行ベクトルのL2ノルムの最小値");
Console.WriteLine(bmin);
Console.WriteLine("");
int bminInt = DesignMatrix.L2NormMinimumIndex(A);
Console.WriteLine("計画行列" + nameof(A) + "の各行ベクトルのL2ノルムの最小値の要素番号");
Console.WriteLine(bminInt);
Console.WriteLine("");
}
public void TestDeterminant()
{
Console.WriteLine("行列式の計算を行うメソッドのテストです。");
double[,] A = new double[2, 2];
A[0, 0] = 2;
A[0, 1] = 0;
A[1, 0] = 0;
A[1, 1] = 2;
TestMatrix.WriteLineMatrix(A, nameof(A));
double determinant = Matrix.Determinant(A);
Console.WriteLine(nameof(A) + "の行列式 " + determinant);
}
public void TestMultiplyByScalar()
{
Console.WriteLine("行列のスカラー積を行うメソッドのテストです。");
double[,] A = new double[2, 2];
A[0, 0] = 0;
A[0, 1] = 1;
A[1, 0] = 2;
A[1, 1] = 3;
TestMatrix.WriteLineMatrix(A, nameof(A));
double b = 10;
double[,] C = Matrix.MultiplyByScalar(A, b);
TestMatrix.WriteLineMatrix(C, nameof(b) + nameof(A));
}
public void TestAverage()
{
Console.WriteLine("計画行列の平均ベクトル(行ベクトル)を返すメソッドのテストです。");
double[,] A = new double[3, 2];
A[0, 0] = 0;
A[0, 1] = 2;
A[1, 0] = 1;
A[1, 1] = 4;
A[2, 0] = 2;
A[2, 1] = 6;
TestMatrix.WriteLineMatrix(A, "計画行列" + nameof(A));
double[,] B = DesignMatrix.Average(A);
TestMatrix.WriteLineMatrix(B, nameof(A) + "の平均ベクトル" + nameof(B));
}
public void TestVarianceCovariance()
{
Console.WriteLine("計画行列の分散・共分行列を返すメソッドのテストです。");
double[,] A = new double[3, 2];
A[0, 0] = -1;
A[0, 1] = 8;
A[1, 0] = 0;
A[1, 1] = 4;
A[2, 0] = 1;
A[2, 1] = -4;
TestMatrix.WriteLineMatrix(A, "計画行列" + nameof(A));
double[,] B = DesignMatrix.VarianceCovariance(A);
TestMatrix.WriteLineMatrix(B, nameof(A) + "の分散・共分散行列" + nameof(B));
}
public void TestZeroMatrix()
{
Console.WriteLine("零行列を作成するメソッドのテストです。");
double[,] A = new double[2, 2];
A[0, 0] = 0;
A[0, 1] = 1;
A[1, 0] = 2;
A[1, 1] = 3;
TestMatrix.WriteLineMatrix(A, nameof(A));
double[,] B = Matrix.ZeroMatrix(A);
TestMatrix.WriteLineMatrix(B, nameof(A) + "と同じ行列数の零行列" + nameof(B));
double[,] C = Matrix.ZeroMatrix(3, 5);
TestMatrix.WriteLineMatrix(C, "3行5列の零行列" + nameof(C));
}
public void TestCorelation()
{
Console.WriteLine("計画行列の相関係数行列を返すメソッドのテストです。");
double[,] A = new double[3, 2];
A[0, 0] = -1;
A[0, 1] = 8;
A[1, 0] = 0;
A[1, 1] = 4;
A[2, 0] = 1;
A[2, 1] = -4;
TestMatrix.WriteLineMatrix(A, "計画行列" + nameof(A));
double[,] B = DesignMatrix.Corelation(A);
TestMatrix.WriteLineMatrix(B, nameof(A) + "の相関係数行列" + nameof(B));
}
public void TestRowVector()
{
Console.WriteLine("計画行列から行ベクトルを返すメソッドのテストです。");
double[,] A = new double[3, 2];
A[0, 0] = -1;
A[0, 1] = 8;
A[1, 0] = 0;
A[1, 1] = 4;
A[2, 0] = 1;
A[2, 1] = -4;
TestMatrix.WriteLineMatrix(A, "計画行列" + nameof(A));
double[,] B = DesignMatrix.RowVector(A, 2);
TestMatrix.WriteLineMatrix(B, nameof(A) + "の要素番号2の行ベクトル" + nameof(B));
}
public void TestSubMatrix()
{
Console.WriteLine("行列をコピーするメソッドのテストです。");
double[,] A = new double[3, 3];
A[0, 0] = 0;
A[0, 1] = 1;
A[0, 2] = 2;
A[1, 0] = 3;
A[1, 1] = 4;
A[1, 2] = 5;
A[2, 0] = 6;
A[2, 1] = 7;
A[2, 2] = 8;
TestMatrix.WriteLineMatrix(A, nameof(A));
double[,] B = Matrix.SubMatrix(A, 1, 2, 2, 1);
TestMatrix.WriteLineMatrix(B, nameof(A) + "の(1,2)成分を起点に、2行1列を取り出した行列" + nameof(B));
}
public void TestHadamardMultiply()
{
Console.WriteLine("アダマール積を行うメソッドのテストです。");
double[,] A = new double[2, 2];
A[0, 0] = 0;
A[0, 1] = 1;
A[1, 0] = 2;
A[1, 1] = 3;
TestMatrix.WriteLineMatrix(A, nameof(A));
double[,] B = new double[2, 2];
B[0, 0] = 1;
B[0, 1] = 2;
B[1, 0] = 3;
B[1, 1] = 4;
TestMatrix.WriteLineMatrix(B, nameof(B));
double[,] C = Matrix.HadamardMultiply(A, B);
TestMatrix.WriteLineMatrix(C, nameof(A) + " ◦ " + nameof(B));
}
public void TestAdd()
{
Console.WriteLine("行列の加算を行うメソッドのテストです。");
double[,] A = new double[2, 2];
A[0, 0] = 0;
A[0, 1] = 1;
A[1, 0] = 2;
A[1, 1] = 3;
TestMatrix.WriteLineMatrix(A, nameof(A));
double[,] B = new double[2, 2];
B[0, 0] = 1;
B[0, 1] = 2;
B[1, 0] = 3;
B[1, 1] = 4;
TestMatrix.WriteLineMatrix(B, nameof(B));
double[,] C = Matrix.Add(A, B);
TestMatrix.WriteLineMatrix(C, nameof(A) + " + " + nameof(B));
}
public void TestHadamardDivide()
{
Console.WriteLine("アダマール積風の除算を行うメソッドのテストです。");
double[,] A = new double[2, 2];
A[0, 0] = 0;
A[0, 1] = 1;
A[1, 0] = 2;
A[1, 1] = 3;
TestMatrix.WriteLineMatrix(A, nameof(A));
double[,] B = new double[2, 2];
B[0, 0] = 1;
B[0, 1] = 2;
B[1, 0] = 3;
B[1, 1] = 4;
TestMatrix.WriteLineMatrix(B, nameof(B));
double[,] C = Matrix.HadamardDivide(A, B);
TestMatrix.WriteLineMatrix(C, nameof(A) + "の各要素を" + nameof(B) + "の各要素で割った行列");
}