public static MxMatrix3 operator *(MxMatrix3 mat1, double scalar)
{
var ret = new MxMatrix3(0.0);
ret[0] = mat1[0]*scalar;
ret[1] = mat1[1]*scalar;
ret[2] = mat1[2]*scalar;
return ret;
}
public static MxMatrix3 operator +(MxMatrix3 mat1, MxMatrix3 mat2)
{
var ret = new MxMatrix3(0.0);
ret[0] = mat1[0] + mat2[0];
ret[1] = mat1[1] + mat2[1];
ret[2] = mat1[2] + mat2[2];
return(ret);
}
public static MxMatrix3 operator -(MxMatrix3 mat1)
{
var ret = new MxMatrix3(0.0);
ret[0] = -mat1[0];
ret[1] = -mat1[1];
ret[2] = -mat1[2];
return(ret);
}
public static MxMatrix3 operator *(MxMatrix3 mat1, double scalar)
{
var ret = new MxMatrix3(0.0);
ret[0] = mat1[0] * scalar;
ret[1] = mat1[1] * scalar;
ret[2] = mat1[2] * scalar;
return(ret);
}
internal bool Optimize(ref MxVector3 vec)
{
var invMat = new MxMatrix3(0.0);
var det = MxMatrix3.Invert(Tensor, ref invMat);
if (det.IsSqCloseEnoughTo(0.0))
{
return(false);
}
vec = -(invMat * Vector);
return(true);
}
internal static MxMatrix3 OuterProduct(MxVector3 vec1, MxVector3 vec2)
{
var mat = new MxMatrix3(0.0);
for (var i = 0; i < 3; i++)
{
for (var j = 0; j < 3; j++)
{
mat[i, j] = vec1[i] * vec2[j];
}
}
return(mat);
}
internal static double Invert(MxMatrix3 mat, ref MxMatrix3 inv)
{
var adj = Adjoint(mat);
var det = adj[0] * mat[0];
if (det.IsCloseEnoughTo(0.0))
{
return(0.0);
}
inv = (Transpose(adj) / det);
return(det);
}
public static MxMatrix3 operator *(MxMatrix3 mat1, MxMatrix3 mat2)
{
var mat = new MxMatrix3(0.0);
for (var i = 0; i < 3; i++)
{
for (var j = 0; j < 3; j++)
{
mat[i, j] = mat1[i] * mat2.Column(j);
}
}
return(mat);
}
public static MxMatrix3 operator /(MxMatrix3 mat1, double scalar)
{
if (scalar.IsCloseEnoughTo(0.0))
{
return(mat1);
}
var invScalar = 1.0 / scalar;
var ret = new MxMatrix3(0.0);
ret[0] = mat1[0] * invScalar;
ret[1] = mat1[1] * invScalar;
ret[2] = mat1[2] * invScalar;
return(ret);
}
internal static MxMatrix3 OuterProduct(MxVector3 vec)
{
var mat = new MxMatrix3(0.0);
var x = vec[0];
var y = vec[1];
var z = vec[2];
mat[0, 0] = x * x;
mat[0, 1] = x * y;
mat[0, 2] = x * z;
mat[1, 0] = mat[0, 1];
mat[1, 1] = y * y;
mat[1, 2] = y * z;
mat[2, 0] = mat[0, 2];
mat[2, 1] = mat[1, 2];
mat[2, 2] = z * z;
return(mat);
}
public static MxMatrix3 operator /(MxMatrix3 mat1, double scalar)
{
if (scalar.IsCloseEnoughTo(0.0)) return mat1;
var invScalar = 1.0/scalar;
var ret = new MxMatrix3(0.0);
ret[0] = mat1[0]*invScalar;
ret[1] = mat1[1]*invScalar;
ret[2] = mat1[2]*invScalar;
return ret;
}
internal static MxMatrix3 Adjoint(MxMatrix3 mat)
{
return new MxMatrix3(mat[1] ^ mat[2],
mat[2] ^ mat[0],
mat[0] ^ mat[1]);
}
internal static double Det(MxMatrix3 mat)
{
return (mat[0]*(mat[1] ^ mat[2]));
}
internal static MxMatrix3 OuterProduct(MxVector3 vec1, MxVector3 vec2)
{
var mat = new MxMatrix3(0.0);
for (var i = 0; i < 3; i++)
{
for (var j = 0; j < 3; j++)
{
mat[i, j] = vec1[i]*vec2[j];
}
}
return mat;
}
internal static double Trace(MxMatrix3 mat)
{
return(mat[0, 0] + mat[1, 1] + mat[2, 2]);
}
public static MxMatrix3 operator -(MxMatrix3 mat1)
{
var ret = new MxMatrix3(0.0);
ret[0] = -mat1[0];
ret[1] = -mat1[1];
ret[2] = -mat1[2];
return ret;
}
public static MxMatrix3 operator *(MxMatrix3 mat1, MxMatrix3 mat2)
{
var mat = new MxMatrix3(0.0);
for (var i = 0; i < 3; i++)
{
for (var j = 0; j < 3; j++)
{
mat[i, j] = mat1[i]*mat2.Column(j);
}
}
return mat;
}
internal static double Invert(MxMatrix3 mat, ref MxMatrix3 inv)
{
var adj = Adjoint(mat);
var det = adj[0]*mat[0];
if (det.IsCloseEnoughTo(0.0)) return 0.0;
inv = (Transpose(adj)/det);
return det;
}
internal MxMatrix3(MxMatrix3 mat3)
{
rows[0] = new MxVector3((mat3[0])[0], (mat3[0])[1], (mat3[0])[2]);
rows[1] = new MxVector3((mat3[1])[0], (mat3[1])[1], (mat3[1])[2]);
rows[2] = new MxVector3((mat3[2])[0], (mat3[2])[1], (mat3[2])[2]);
}
internal static MxMatrix3 Transpose(MxMatrix3 mat)
{
return new MxMatrix3(mat.Column(0), mat.Column(1), mat.Column(2));
}
internal static double Trace(MxMatrix3 mat)
{
return (mat[0, 0] + mat[1, 1] + mat[2, 2]);
}
internal MxMatrix3(MxMatrix3 mat3)
{
rows[0] = new MxVector3((mat3[0])[0], (mat3[0])[1], (mat3[0])[2]);
rows[1] = new MxVector3((mat3[1])[0], (mat3[1])[1], (mat3[1])[2]);
rows[2] = new MxVector3((mat3[2])[0], (mat3[2])[1], (mat3[2])[2]);
}
internal static double Det(MxMatrix3 mat)
{
return(mat[0] * (mat[1] ^ mat[2]));
}
internal static MxMatrix3 Adjoint(MxMatrix3 mat)
{
return(new MxMatrix3(mat[1] ^ mat[2],
mat[2] ^ mat[0],
mat[0] ^ mat[1]));
}
internal static MxMatrix3 Transpose(MxMatrix3 mat)
{
return(new MxMatrix3(mat.Column(0), mat.Column(1), mat.Column(2)));
}
internal static MxMatrix3 OuterProduct(MxVector3 vec)
{
var mat = new MxMatrix3(0.0);
var x = vec[0];
var y = vec[1];
var z = vec[2];
mat[0, 0] = x*x;
mat[0, 1] = x*y;
mat[0, 2] = x*z;
mat[1, 0] = mat[0, 1];
mat[1, 1] = y*y;
mat[1, 2] = y*z;
mat[2, 0] = mat[0, 2];
mat[2, 1] = mat[1, 2];
mat[2, 2] = z*z;
return mat;
}
internal bool Optimize(ref MxVector3 vec)
{
var invMat = new MxMatrix3(0.0);
var det = MxMatrix3.Invert(Tensor, ref invMat);
if (det.IsSqCloseEnoughTo(0.0)) return false;
vec = -(invMat*Vector);
return true;
}
public static MxMatrix3 operator +(MxMatrix3 mat1, MxMatrix3 mat2)
{
var ret = new MxMatrix3(0.0);
ret[0] = mat1[0] + mat2[0];
ret[1] = mat1[1] + mat2[1];
ret[2] = mat1[2] + mat2[2];
return ret;
}