M33f
Constructors
| Constructor | Description |
new(...)
Signature: (m00:float32 * m01:float32 * m02:float32 * m10:float32 * m11:float32 * m12:float32 * m20:float32 * m21:float32 * m22:float32) -> unit
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new(a)
Signature: (a:float32 []) -> unit
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new(a, start)
Signature: (a:float32 [] * start:int) -> unit
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Instance members
| Instance member | Description |
Adjoin()
Signature: unit -> M33f
Modifiers: abstract |
Converts this matrix to its adjoint. |
Adjoint
Signature: M33f
Modifiers: abstract |
Returns adjoint of this matrix. |
C0()
Signature: unit -> unit
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C1()
Signature: unit -> unit
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C2()
Signature: unit -> unit
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Column(index)
Signature: index:int -> V3f
Modifiers: abstract |
Returns index-th column of this matrix. |
Columns
Signature: IEnumerable<V3f>
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Copy(element_fun)
Signature: element_fun:Func<float32,int> -> M33i
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Returns a copy with all elements transformed by the supplied function. |
Copy(element_index0_index1_fun)
Signature: element_index0_index1_fun:Func<float32,int,int,int> -> M33i
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Returns a copy with all elements transformed by the supplied function. |
Copy(element_fun)
Signature: element_fun:Func<float32,int64> -> M33l
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Returns a copy with all elements transformed by the supplied function. |
Copy(element_index0_index1_fun)
Signature: element_index0_index1_fun:Func<float32,int,int,int64> -> M33l
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Returns a copy with all elements transformed by the supplied function. |
Copy(element_fun)
Signature: element_fun:Func<float32,float32> -> M33f
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Returns a copy with all elements transformed by the supplied function. |
Copy(element_index0_index1_fun)
Signature: element_index0_index1_fun:Func<float32,int,int,float32> -> M33f
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Returns a copy with all elements transformed by the supplied function. |
Copy(element_fun)
Signature: element_fun:Func<float32,float> -> M33d
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Returns a copy with all elements transformed by the supplied function. |
Copy(element_index0_index1_fun)
Signature: element_index0_index1_fun:Func<float32,int,int,float> -> M33d
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Returns a copy with all elements transformed by the supplied function. |
CopyTo(array, index)
Signature: (array:int [] * index:int64) -> unit
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CopyTo(array, index)
Signature: (array:int64 [] * index:int64) -> unit
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CopyTo(array, index)
Signature: (array:float32 [] * index:int64) -> unit
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CopyTo(array, index)
Signature: (array:float [] * index:int64) -> unit
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Det
Signature: float32
Modifiers: abstract |
Gets the determinant of this matrix. The determinant is only defined for square matrices. |
Determinant()
Signature: unit -> float32
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Returns the determinant of this matrix. The determinant is only defined for square matrices. |
Dim
Signature: V2l
Modifiers: abstract |
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Elements
Signature: IEnumerable<float32>
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Equals(other)
Signature: other:obj -> bool
Modifiers: abstract |
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GetHashCode()
Signature: unit -> int
Modifiers: abstract |
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GetValue(x, y)
Signature: (x:int64 * y:int64) -> obj
Modifiers: abstract |
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GetValue(v)
Signature: v:V2l -> obj
Modifiers: abstract |
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Inverse
Signature: M33f
Modifiers: abstract |
Returns the inverse of this matrix. If the matrix is not invertible M33f.Zero is returned. |
Invert()
Signature: unit -> bool
Modifiers: abstract |
Inverts the matrix in place. Returns true if the matrix was invertible, otherwise the matrix remains unchanged. |
Invertible
Signature: bool
Modifiers: abstract |
Returns whether this matrix is invertible. A matrix is invertible if its determinant is not zero. |
InvTransformDir(v)
Signature: v:V2f -> V2f
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Transforms direction vector v (p.w is presumed 0) with the inverse of this transform. |
InvTransformPos(p)
Signature: p:V2f -> V2f
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Transforms point p (p.w is presumed 1.0) with the inverse of this transform. No projective transform is performed. |
InvTransformPosProj(p)
Signature: p:V2f -> V2f
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Transforms point p (p.w is presumed 1.0) with the inverse of this transform. Projective transform is performed. |
IsIdentity(epsilon)
Signature: epsilon:float32 -> bool
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Returns if the matrix is the identity matrix I. |
IsInvalid
Signature: bool
Modifiers: abstract |
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IsOrthogonal(epsilon)
Signature: epsilon:float32 -> bool
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Returns if the matrix is orthogonal (i.e. all non-diagonal entries of M * M^t == 0) |
IsOrthonormal(epsilon)
Signature: epsilon:float32 -> bool
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Returns if the matrix is orthonormal (i.e. M * M^t == I) |
IsValid
Signature: bool
Modifiers: abstract |
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[()]
Signature: unit -> int
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[arg1]
Signature: int -> int
Modifiers: abstract |
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[arg1]
Signature: int64 -> int64
Modifiers: abstract |
NOTE: this indexer has reversed order of coordinates with respect to the default indexer!!! |
[()]
Signature: unit -> V2l
Modifiers: abstract |
NOTE: this indexer has reversed order of coordinates with respect to the default indexer!!! |
LuInverse()
Signature: unit -> M33f
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Returns the inverse of the matrix using lu factorization. If the matrix is not invertible, M33f.Zero is returned. |
LuInvert()
Signature: unit -> bool
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Inverts the matrix using lu factorization in place. Returns true if the matrix was invertible, otherwise the matrix remains unchanged. |
Norm(p)
Signature: p:float32 -> float32
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Returns the p-norm of the matrix. This is calculated as (|M00|^p + |M01|^p + ... )^(1/p) |
Norm1
Signature: float32
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Returns the Manhattan (or 1-) norm of the matrix. This is calculated as |M00| + |M01| + ... |
Norm2
Signature: float32
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Returns the Euclidean (or 2-) norm of the matrix. This is calculated as Sqrt(M00 M00 + M01 M01 + ... ) |
NormMax
Signature: float32
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Returns the infinite (or maximum) norm of the matrix. This is calculated as max(|M00|, |M01|, ...). |
NormMin
Signature: float32
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Returns the minimum norm of the matrix. This is calculated as min(|M00|, |M01|, ...). |
R0()
Signature: unit -> unit
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R1()
Signature: unit -> unit
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R2()
Signature: unit -> unit
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Row(index)
Signature: index:int -> V3f
Modifiers: abstract |
Returns index-th row of this matrix. |
Rows
Signature: IEnumerable<V3f>
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SetValue(value, x, y)
Signature: (value:obj * x:int64 * y:int64) -> unit
Modifiers: abstract |
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SetValue(value, v)
Signature: (value:obj * v:V2l) -> unit
Modifiers: abstract |
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Singular
Signature: bool
Modifiers: abstract |
Returns whether this matrix is singular. A matrix is singular if its determinant is zero. |
ToArray()
Signature: unit -> float32 []
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ToString()
Signature: unit -> string
Modifiers: abstract |
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ToString(format)
Signature: format:string -> string
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ToString(format, fp)
Signature: (format:string * fp:IFormatProvider) -> string
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ToString(...)
Signature: (format:string * fp:IFormatProvider * beginM:string * betweenM:string * endM:string * beginR:string * betweenR:string * endR:string) -> string
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Outputs e.g. a 2x2-Matrix in the form "(beginM)(beginR)m00(betweenR)m01(endR)(betweenM)(beginR)m10(betweenR)m11(endR)(endM)". |
Trace
Signature: float32
Modifiers: abstract |
Returns the trace of this matrix. The trace is defined as the sum of the diagonal elements, and is only defined for square matrices. |
Transform(v)
Signature: v:V3f -> V3f
Modifiers: abstract |
Transforms vector v. |
TransformDir(v)
Signature: v:V2f -> V2f
Modifiers: abstract |
Transforms direction vector v (v.w is presumed 0.0) by this matrix. |
TransformPos(p)
Signature: p:V2f -> V2f
Modifiers: abstract |
Transforms point p (p.w is presumed 1.0) by this matrix. No projective transform is performed. |
TransformPosProj(p)
Signature: p:V2f -> V2f
Modifiers: abstract |
Transforms point p (p.w is presumed 1.0) by this matrix. Projective transform is performed. Perspective Division is performed. |
TransformPosProjFull(p)
Signature: p:V2f -> V3f
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Transforms point p (p.w is presumed 1.0) by this matrix. Projective transform is performed. |
Transpose()
Signature: unit -> unit
Modifiers: abstract |
Transposes this matrix (and returns this). |
Transposed
Signature: M33f
Modifiers: abstract |
Gets transpose of this matrix. |
TransposedTransform(v)
Signature: v:V3f -> V3f
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Transforms vector v by the transposed version of this. |
TransposedTransformDir(v)
Signature: v:V2f -> V2f
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Transforms direction vector v (v.w is presumed 0.0) by transposed version of this matrix. |
TransposedTransformPos(p)
Signature: p:V2f -> V2f
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Transforms point p (p.w is presumed 1.0) by transposed version of this matrix. No projective transform is performed. |
UpperLeftM22()
Signature: unit -> M22f
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Returns a copy of the upper left sub matrix. |
Static members
| Static member | Description |
Add(a, b)
Signature: (a:M33f * b:M33f) -> M33f
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Add(m, s)
Signature: (m:M33f * s:float32) -> M33f
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Add(s, m)
Signature: (s:float32 * m:M33f) -> M33f
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Add(a, b)
Signature: (a:M33f * b:M33d) -> M33d
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Add(m, s)
Signature: (m:M33f * s:float) -> M33d
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Add(s, m)
Signature: (s:float * m:M33f) -> M33d
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ApproximatelyEquals(a, b, epsilon)
Signature: (a:M33f * b:M33f * epsilon:float32) -> bool
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Returns if all entries in the matrix a are approximately equal to the respective entries in matrix b. |
CrossMatrix(v)
Signature: v:V3f -> M33f
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Returns the skew-symmetric "cross" matrix (A^T = -A) of the vector v. |
Distance(a, b, p)
Signature: (a:M33f * b:M33f * p:float32) -> float32
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Returns the p-distance between two matrices. |
Distance1(a, b)
Signature: (a:M33f * b:M33f) -> float32
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Returns the Manhatten (or 1-) distance between two matrices. |
Distance2(a, b)
Signature: (a:M33f * b:M33f) -> float32
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Returns the Euclidean (or 2-) distance between two matrices. |
DistanceMax(a, b)
Signature: (a:M33f * b:M33f) -> float32
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Returns the maximal absolute distance between the components of the two matrices. |
DistanceMin(a, b)
Signature: (a:M33f * b:M33f) -> float32
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Returns the minimal absolute distance between the components of the two matrices. |
Divide(a, b)
Signature: (a:M33f * b:M33f) -> M33f
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Divide(m, s)
Signature: (m:M33f * s:float32) -> M33f
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Divide(s, m)
Signature: (s:float32 * m:M33f) -> M33f
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Divide(a, b)
Signature: (a:M33f * b:M33d) -> M33d
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Divide(m, s)
Signature: (m:M33f * s:float) -> M33d
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Divide(s, m)
Signature: (s:float * m:M33f) -> M33d
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Enlarge(m)
Signature: m:M33f -> M44f
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FromCols(col0, col1, col2)
Signature: (col0:V3f * col1:V3f * col2:V3f) -> M33f
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FromRows(row0, row1, row2)
Signature: (row0:V3f * row1:V3f * row2:V3f) -> M33f
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Modulo(a, b)
Signature: (a:M33f * b:M33f) -> M33f
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Modulo(m, s)
Signature: (m:M33f * s:float32) -> M33f
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Modulo(s, m)
Signature: (s:float32 * m:M33f) -> M33f
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Modulo(a, b)
Signature: (a:M33f * b:M33d) -> M33d
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Modulo(m, s)
Signature: (m:M33f * s:float) -> M33d
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Modulo(s, m)
Signature: (s:float * m:M33f) -> M33d
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Multiply(m, s)
Signature: (m:M33f * s:Scale3f) -> M33f
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Multiply(m, t)
Signature: (m:M33f * t:Shift3f) -> M34f
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Multiply(m, s)
Signature: (m:M33f * s:float32) -> M33f
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Multiply(s, m)
Signature: (s:float32 * m:M33f) -> M33f
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Multiply(m, s)
Signature: (m:M33f * s:float) -> M33d
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Multiply(s, m)
Signature: (s:float * m:M33f) -> M33d
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Multiply(m, v)
Signature: (m:M33f * v:V3f) -> V3f
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Multiply(a, b)
Signature: (a:M33f * b:M33f) -> M33f
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NormalFrameLocal2Global(normal)
Signature: normal:V3f -> M33f
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Computes from a normal the transformation matrix from the local coordinate system where the normal is the z-axis to the global coordinate system. |
op_Addition(a, b)
Signature: (a:M33f * b:M33f) -> M33f
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op_Addition(m, s)
Signature: (m:M33f * s:float32) -> M33f
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op_Addition(s, m)
Signature: (s:float32 * m:M33f) -> M33f
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op_Addition(a, b)
Signature: (a:M33f * b:M33d) -> M33d
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op_Addition(m, s)
Signature: (m:M33f * s:float) -> M33d
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op_Addition(s, m)
Signature: (s:float * m:M33f) -> M33d
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op_Division(a, b)
Signature: (a:M33f * b:M33f) -> M33f
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op_Division(m, s)
Signature: (m:M33f * s:float32) -> M33f
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op_Division(s, m)
Signature: (s:float32 * m:M33f) -> M33f
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op_Division(a, b)
Signature: (a:M33f * b:M33d) -> M33d
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op_Division(m, s)
Signature: (m:M33f * s:float) -> M33d
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op_Division(s, m)
Signature: (s:float * m:M33f) -> M33d
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op_Equality(a, b)
Signature: (a:M33f * b:M33f) -> bool
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op_Equality(a, s)
Signature: (a:M33f * s:float32) -> bool
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op_Equality(s, a)
Signature: (s:float32 * a:M33f) -> bool
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op_Explicit(m)
Signature: m:M22i -> M33f
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op_Explicit(m)
Signature: m:M23i -> M33f
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op_Explicit(m)
Signature: m:M33i -> M33f
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op_Explicit(m)
Signature: m:M34i -> M33f
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op_Explicit(m)
Signature: m:M44i -> M33f
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op_Explicit(m)
Signature: m:M22l -> M33f
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op_Explicit(m)
Signature: m:M23l -> M33f
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op_Explicit(m)
Signature: m:M33l -> M33f
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op_Explicit(m)
Signature: m:M34l -> M33f
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op_Explicit(m)
Signature: m:M44l -> M33f
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op_Explicit(m)
Signature: m:M22f -> M33f
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op_Explicit(m)
Signature: m:M23f -> M33f
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op_Explicit(m)
Signature: m:M34f -> M33f
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op_Explicit(m)
Signature: m:M44f -> M33f
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op_Explicit(m)
Signature: m:M22d -> M33f
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op_Explicit(m)
Signature: m:M23d -> M33f
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op_Explicit(m)
Signature: m:M33d -> M33f
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op_Explicit(m)
Signature: m:M34d -> M33f
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op_Explicit(m)
Signature: m:M44d -> M33f
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op_Explicit(a)
Signature: (a:int []) -> M33f
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op_Explicit(a)
Signature: (a:int [,]) -> M33f
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op_Explicit(m)
Signature: m:M33f -> int []
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op_Explicit(m)
Signature: m:M33f -> int [,]
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op_Explicit(a)
Signature: (a:int64 []) -> M33f
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op_Explicit(a)
Signature: (a:int64 [,]) -> M33f
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op_Explicit(m)
Signature: m:M33f -> int64 []
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op_Explicit(m)
Signature: m:M33f -> int64 [,]
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op_Explicit(a)
Signature: (a:float32 []) -> M33f
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op_Explicit(a)
Signature: (a:float32 [,]) -> M33f
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op_Explicit(m)
Signature: m:M33f -> float32 []
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op_Explicit(m)
Signature: m:M33f -> float32 [,]
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op_Explicit(a)
Signature: (a:float []) -> M33f
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op_Explicit(a)
Signature: (a:float [,]) -> M33f
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op_Explicit(m)
Signature: m:M33f -> float []
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op_Explicit(m)
Signature: m:M33f -> float [,]
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op_GreaterThan(a, b)
Signature: (a:M33f * b:M33f) -> bool
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op_GreaterThan(a, s)
Signature: (a:M33f * s:float32) -> bool
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op_GreaterThan(s, a)
Signature: (s:float32 * a:M33f) -> bool
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op_GreaterThanOrEqual(a, b)
Signature: (a:M33f * b:M33f) -> bool
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op_GreaterThanOrEqual(a, s)
Signature: (a:M33f * s:float32) -> bool
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op_GreaterThanOrEqual(s, a)
Signature: (s:float32 * a:M33f) -> bool
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op_Inequality(a, b)
Signature: (a:M33f * b:M33f) -> bool
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op_Inequality(m, s)
Signature: (m:M33f * s:float32) -> bool
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op_Inequality(s, m)
Signature: (s:float32 * m:M33f) -> bool
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op_LessThan(a, b)
Signature: (a:M33f * b:M33f) -> bool
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op_LessThan(a, s)
Signature: (a:M33f * s:float32) -> bool
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op_LessThan(s, a)
Signature: (s:float32 * a:M33f) -> bool
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op_LessThanOrEqual(a, b)
Signature: (a:M33f * b:M33f) -> bool
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op_LessThanOrEqual(a, s)
Signature: (a:M33f * s:float32) -> bool
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op_LessThanOrEqual(s, a)
Signature: (s:float32 * a:M33f) -> bool
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op_Modulus(a, b)
Signature: (a:M33f * b:M33f) -> M33f
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op_Modulus(m, s)
Signature: (m:M33f * s:float32) -> M33f
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op_Modulus(s, m)
Signature: (s:float32 * m:M33f) -> M33f
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op_Modulus(a, b)
Signature: (a:M33f * b:M33d) -> M33d
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op_Modulus(m, s)
Signature: (m:M33f * s:float) -> M33d
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op_Modulus(s, m)
Signature: (s:float * m:M33f) -> M33d
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op_Multiply(m, s)
Signature: (m:M33f * s:Scale3f) -> M33f
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op_Multiply(m, t)
Signature: (m:M33f * t:Shift3f) -> M34f
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op_Multiply(m, s)
Signature: (m:M33f * s:float32) -> M33f
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op_Multiply(s, m)
Signature: (s:float32 * m:M33f) -> M33f
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op_Multiply(m, s)
Signature: (m:M33f * s:float) -> M33d
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op_Multiply(s, m)
Signature: (s:float * m:M33f) -> M33d
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op_Multiply(m, v)
Signature: (m:M33f * v:V3f) -> V3f
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op_Multiply(a, b)
Signature: (a:M33f * b:M33f) -> M33f
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op_Subtraction(a, b)
Signature: (a:M33f * b:M33f) -> M33f
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op_Subtraction(m, s)
Signature: (m:M33f * s:float32) -> M33f
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op_Subtraction(s, m)
Signature: (s:float32 * m:M33f) -> M33f
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op_Subtraction(a, b)
Signature: (a:M33f * b:M33d) -> M33d
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op_Subtraction(m, s)
Signature: (m:M33f * s:float) -> M33d
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op_Subtraction(s, m)
Signature: (s:float * m:M33f) -> M33d
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OuterProduct(v1, v2)
Signature: (v1:V3f * v2:V3f) -> M33f
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Returns the outer product (tensor-product) of v1 * v2^T as a 3x3 Matrix. |
Parse(s)
Signature: s:string -> M33f
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Rotation(angleInRadians)
Signature: angleInRadians:float32 -> M33f
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Creates rotation matrix from axis and angle. |
Rotation(r)
Signature: r:Rot2f -> M33f
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Creates rotational matrix from quaternion. |
Scale(s)
Signature: s:float32 -> M33f
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Creates new Identity with scalar value for uniform-scaling. |
Scale(sx, sy)
Signature: (sx:float32 * sy:float32) -> M33f
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Creates new Identity with 3 scalar values for scaling. |
Scale(v)
Signature: v:V2f -> M33f
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Creates new Identity with V3f for scaling. |
Subtract(a, b)
Signature: (a:M33f * b:M33f) -> M33f
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Subtract(m, s)
Signature: (m:M33f * s:float32) -> M33f
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Subtract(s, m)
Signature: (s:float32 * m:M33f) -> M33f
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Subtract(a, b)
Signature: (a:M33f * b:M33d) -> M33d
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Subtract(m, s)
Signature: (m:M33f * s:float) -> M33d
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Subtract(s, m)
Signature: (s:float * m:M33f) -> M33d
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Transform(m, v)
Signature: (m:M33f * v:V3f) -> V3f
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TransformDir(m, v)
Signature: (m:M33f * v:V2f) -> V2f
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Transforms direction vector v (v.w is presumed 0.0) by matrix m. |
TransformPos(m, p)
Signature: (m:M33f * p:V2f) -> V2f
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Transforms point p (v.w is presumed 1.0) by matrix m. No projective transform is performed. |
TransformPosProj(m, p)
Signature: (m:M33f * p:V2f) -> V2f
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Transforms point p (p.w is presumed 1.0) by matrix m. Projective transform is performed. Perspective Division is performed. |
TransformPosProjFull(m, p)
Signature: (m:M33f * p:V2f) -> V3f
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Transforms point p (p.w is presumed 1.0) by matrix m. Projective transform is performed. |
Translation(dx, dy)
Signature: (dx:float32 * dy:float32) -> M33f
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Creates new Identity with 2 float values for translation. |
Translation(v)
Signature: v:V2f -> M33f
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Creates new Identity with V3f vector for translation. |
TransposedMultiply(v, m)
Signature: (v:V3f * m:M33f) -> V3f
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TransposedTransform(m, v)
Signature: (m:M33f * v:V3f) -> V3f
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TransposedTransformDir(m, v)
Signature: (m:M33f * v:V2f) -> V2f
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Transforms direction vector v (v.w is presumed 0.0) by transposed version of matrix m. |
TransposedTransformPos(m, p)
Signature: (m:M33f * p:V2f) -> V2f
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Transforms point p (v.w is presumed 1.0) by transposed version of matrix m. No projective transform is performed. |
