/// <summary>
/// Constructs this matrix from a dmat3. Non-overwritten fields are from an Identity matrix.
/// </summary>
public dmat2(dmat3 m)
{
this.m00 = m.m00;
this.m01 = m.m01;
this.m10 = m.m10;
this.m11 = m.m11;
}
/// <summary>
/// Constructs this matrix from a dmat3. Non-overwritten fields are from an Identity matrix.
/// </summary>
public dmat3x2(dmat3 m)
{
this.m00 = m.m00;
this.m01 = m.m01;
this.m10 = m.m10;
this.m11 = m.m11;
this.m20 = m.m20;
this.m21 = m.m21;
}
/// <summary>
/// Constructs this matrix from a dmat3. Non-overwritten fields are from an Identity matrix.
/// </summary>
public dmat2x3(dmat3 m)
{
this.m00 = m.m00;
this.m01 = m.m01;
this.m02 = m.m02;
this.m10 = m.m10;
this.m11 = m.m11;
this.m12 = m.m12;
}
/// <summary>
/// Constructs this matrix from a dmat3. Non-overwritten fields are from an Identity matrix.
/// </summary>
public dmat2x4(dmat3 m)
{
this.m00 = m.m00;
this.m01 = m.m01;
this.m02 = m.m02;
this.m03 = 0.0;
this.m10 = m.m10;
this.m11 = m.m11;
this.m12 = m.m12;
this.m13 = 0.0;
}
/// <summary>
/// Constructs this matrix from a dmat3. Non-overwritten fields are from an Identity matrix.
/// </summary>
public dmat4x2(dmat3 m)
{
this.m00 = m.m00;
this.m01 = m.m01;
this.m10 = m.m10;
this.m11 = m.m11;
this.m20 = m.m20;
this.m21 = m.m21;
this.m30 = 0.0;
this.m31 = 0.0;
}
/// <summary>
/// Constructs this matrix from a dmat3. Non-overwritten fields are from an Identity matrix.
/// </summary>
public dmat3(dmat3 m)
{
this.m00 = m.m00;
this.m01 = m.m01;
this.m02 = m.m02;
this.m10 = m.m10;
this.m11 = m.m11;
this.m12 = m.m12;
this.m20 = m.m20;
this.m21 = m.m21;
this.m22 = m.m22;
}
/// <summary>
/// Constructs this matrix from a dmat3. Non-overwritten fields are from an Identity matrix.
/// </summary>
public dmat4x3(dmat3 m)
{
this.m00 = m.m00;
this.m01 = m.m01;
this.m02 = m.m02;
this.m10 = m.m10;
this.m11 = m.m11;
this.m12 = m.m12;
this.m20 = m.m20;
this.m21 = m.m21;
this.m22 = m.m22;
this.m30 = 0.0;
this.m31 = 0.0;
this.m32 = 0.0;
}
/// <summary>
/// Constructs this matrix from a dmat3. Non-overwritten fields are from an Identity matrix.
/// </summary>
public dmat3x4(dmat3 m)
{
this.m00 = m.m00;
this.m01 = m.m01;
this.m02 = m.m02;
this.m03 = 0.0;
this.m10 = m.m10;
this.m11 = m.m11;
this.m12 = m.m12;
this.m13 = 0.0;
this.m20 = m.m20;
this.m21 = m.m21;
this.m22 = m.m22;
this.m23 = 0.0;
}
/// <summary>
/// Creates a quaternion from the rotational part of a dmat4.
/// </summary>
public static dquat FromMat3(dmat3 m)
{
var fourXSquaredMinus1 = m.m00 - m.m11 - m.m22;
var fourYSquaredMinus1 = m.m11 - m.m00 - m.m22;
var fourZSquaredMinus1 = m.m22 - m.m00 - m.m11;
var fourWSquaredMinus1 = m.m00 + m.m11 + m.m22;
var biggestIndex = 0;
var fourBiggestSquaredMinus1 = fourWSquaredMinus1;
if (fourXSquaredMinus1 > fourBiggestSquaredMinus1)
{
fourBiggestSquaredMinus1 = fourXSquaredMinus1;
biggestIndex = 1;
}
if (fourYSquaredMinus1 > fourBiggestSquaredMinus1)
{
fourBiggestSquaredMinus1 = fourYSquaredMinus1;
biggestIndex = 2;
}
if (fourZSquaredMinus1 > fourBiggestSquaredMinus1)
{
fourBiggestSquaredMinus1 = fourZSquaredMinus1;
biggestIndex = 3;
}
var biggestVal = Math.Sqrt((double)fourBiggestSquaredMinus1 + 1.0) * 0.5;
var mult = 0.25 / biggestVal;
switch (biggestIndex)
{
case 0: return(new dquat((double)((double)(m.m12 - m.m21) * mult), (double)((double)(m.m20 - m.m02) * mult), (double)((double)(m.m01 - m.m10) * mult), (double)(biggestVal)));
case 1: return(new dquat((double)(biggestVal), (double)((double)(m.m01 + m.m10) * mult), (double)((double)(m.m20 + m.m02) * mult), (double)((double)(m.m12 - m.m21) * mult)));
case 2: return(new dquat((double)((double)(m.m01 + m.m10) * mult), (double)(biggestVal), (double)((double)(m.m12 + m.m21) * mult), (double)((double)(m.m20 - m.m02) * mult)));
default: return(new dquat((double)((double)(m.m20 + m.m02) * mult), (double)((double)(m.m12 + m.m21) * mult), (double)(biggestVal), (double)((double)(m.m01 - m.m10) * mult)));
}
}
/// <summary>
/// Creates a quaternion from the rotational part of a dmat3.
/// </summary>
public dquat(dmat3 m)
: this(FromMat3(m))
{
}
/// <summary> /// Creates a 2D array with all values (address: Values[x, y]) /// </summary> public static double[,] Values(dmat3 m) => m.Values;
/// <summary> /// Creates a 1D array with all values (internal order) /// </summary> public static double[] Values1D(dmat3 m) => m.Values1D;
/// <summary> /// Executes a component-wise - (subtract). /// </summary> public static dmat3 CompSub(dmat3 A, dmat3 B) => new dmat3(A.m00 - B.m00, A.m01 - B.m01, A.m02 - B.m02, A.m10 - B.m10, A.m11 - B.m11, A.m12 - B.m12, A.m20 - B.m20, A.m21 - B.m21, A.m22 - B.m22);
/// <summary> /// Executes a component-wise + (add). /// </summary> public static dmat3 CompAdd(dmat3 A, dmat3 B) => new dmat3(A.m00 + B.m00, A.m01 + B.m01, A.m02 + B.m02, A.m10 + B.m10, A.m11 + B.m11, A.m12 + B.m12, A.m20 + B.m20, A.m21 + B.m21, A.m22 + B.m22);
/// <summary> /// Executes a component-wise / (divide). /// </summary> public static dmat3 CompDiv(dmat3 A, dmat3 B) => new dmat3(A.m00 / B.m00, A.m01 / B.m01, A.m02 / B.m02, A.m10 / B.m10, A.m11 / B.m11, A.m12 / B.m12, A.m20 / B.m20, A.m21 / B.m21, A.m22 / B.m22);
/// <summary> /// Executes a component-wise * (multiply). /// </summary> public static dmat3 CompMul(dmat3 A, dmat3 B) => new dmat3(A.m00 * B.m00, A.m01 * B.m01, A.m02 * B.m02, A.m10 * B.m10, A.m11 * B.m11, A.m12 * B.m12, A.m20 * B.m20, A.m21 * B.m21, A.m22 * B.m22);
/// <summary> /// Returns true iff this equals rhs component-wise. /// </summary> public bool Equals(dmat3 rhs) => ((((m00.Equals(rhs.m00) && m01.Equals(rhs.m01)) && m02.Equals(rhs.m02)) && (m10.Equals(rhs.m10) && m11.Equals(rhs.m11))) && ((m12.Equals(rhs.m12) && m20.Equals(rhs.m20)) && (m21.Equals(rhs.m21) && m22.Equals(rhs.m22))));
/// <summary> /// Creates a quaternion from the rotational part of this matrix. /// </summary> public static dquat ToQuaternion(dmat3 m) => m.ToQuaternion;
/// <summary> /// Returns an enumerator that iterates through all fields. /// </summary> public static IEnumerator <double> GetEnumerator(dmat3 m) => m.GetEnumerator();
