public static D2D_MATRIX_3X2_F Identity()
{
var m = new D2D_MATRIX_3X2_F();
m._11 = 1;
m._22 = 1;
return(m);
}
public static D2D_MATRIX_3X2_F Scale(float width, float height, float centerX = 0, float centerY = 0)
{
var m = new D2D_MATRIX_3X2_F();
m._11 = width;
m._22 = height;
m._31 = centerX - width * centerX;
m._32 = centerY - height * centerY;
return(m);
}
public static D2D_MATRIX_3X2_F Translation(float width, float height)
{
var m = new D2D_MATRIX_3X2_F();
m._11 = 1;
m._22 = 1;
m._31 = width;
m._32 = height;
return(m);
}
public static D2D_MATRIX_3X2_F Divide(ref D2D_MATRIX_3X2_F a, ref D2D_MATRIX_3X2_F b)
{
var inv = b.Inverse();
if (!inv.HasValue)
{
throw new DivideByZeroException();
}
return(Multiply(a, inv.Value));
}
public static D2D_MATRIX_3X2_F Multiply(ref D2D_MATRIX_3X2_F a, ref D2D_MATRIX_3X2_F b)
{
var m = new D2D_MATRIX_3X2_F();
m._11 = a._11 * b._11 + a._12 * b._21;
m._12 = a._11 * b._12 + a._12 * b._22;
m._21 = a._21 * b._11 + a._22 * b._21;
m._22 = a._21 * b._12 + a._22 * b._22;
m._31 = a._31 * b._11 + a._32 * b._21 + b._31;
m._32 = a._31 * b._12 + a._32 * b._22 + b._32;
return(m);
}
public static D2D_MATRIX_3X2_F Skew(float degreesX, float degreesY, float centerX = 0, float centerY = 0)
{
var m = new D2D_MATRIX_3X2_F();
var tanx = Math.Tan(degreesX * (Math.PI / 180));
var tany = Math.Tan(degreesY * (Math.PI / 180));
m._11 = 1;
m._12 = (float)tany;
m._21 = (float)tanx;
m._22 = 1;
m._31 = (float)(-tanx * centerY);
m._32 = (float)(-tany * centerX);
return(m);
}
public static D2D_MATRIX_3X2_F Rotation(float degrees, float centerX = 0, float centerY = 0)
{
var m = new D2D_MATRIX_3X2_F();
var radians = degrees * (Math.PI / 180);
var sin = Math.Sin(radians);
var cos = Math.Cos(radians);
m._11 = (float)cos;
m._12 = (float)sin;
m._21 = (float)-sin;
m._22 = (float)cos;
m._31 = (float)(centerX - centerX * cos + centerY * sin);
m._32 = (float)(centerY - centerX * sin - centerY * cos);
return(m);
}
public D2D_MATRIX_3X2_F?Inverse()
{
var det = Determinant;
if (det == 0)
{
return(null);
}
var m = new D2D_MATRIX_3X2_F();
m._11 = _22 / det;
m._12 = -_12 / det;
m._21 = -_21 / det;
m._22 = _11 / det;
m._31 = (_21 * _32 - _31 * _22) / det;
m._32 = (_31 * _12 - _11 * _32) / det;
return(m);
}
