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PdfTransformDeterminant Method

Returns the determinant of this transform

Namespace:  Atalasoft.PdfDoc.Geometry
Assembly:  Atalasoft.PdfDoc (in Atalasoft.PdfDoc.dll) Version: 11.4.0.9.0.377 (.NET 4.5.2, x86)
Syntax
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public double Determinant()

Return Value

Type: Double
The determinant of the transformation matrix
Remarks
A PdfTransform can be treated as a 3x3 matrix:
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| a b c |
| d e f |
| g h i |
where c, f, and i are 0, 0, and 1, respectively. Using this definition, the determinant of a 3x3 matrix is defined as (a * e * i) + (b * f * g) + (c * d * h) - (a * f * h) - (b * d * i) - (c * e * g). Using the constants for c, f, and i, this can be reduced to (a * e) - (b * d). While client code may not have direct use for the determinant of the matrix, it is used internally to determine if a matrix is invertible and to calculate the inverse.
See Also