M33l
Constructors
| Constructor | Description |
new(...)
Signature: (m00:int64 * m01:int64 * m02:int64 * m10:int64 * m11:int64 * m12:int64 * m20:int64 * m21:int64 * m22:int64) -> unit
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new(a)
Signature: (a:int64 []) -> unit
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new(a, start)
Signature: (a:int64 [] * start:int) -> unit
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Instance members
| Instance member | Description |
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 -> V3l
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Returns index-th column of this matrix. |
Columns
Signature: IEnumerable<V3l>
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Copy(element_fun)
Signature: element_fun:Func<int64,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<int64,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<int64,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<int64,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<int64,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<int64,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<int64,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<int64,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: int64
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Gets the determinant of this matrix. The determinant is only defined for square matrices. |
Determinant()
Signature: unit -> int64
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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<int64>
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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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Invertible
Signature: bool
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Returns whether this matrix is invertible. A matrix is invertible if its determinant is not zero. |
IsInvalid
Signature: bool
Modifiers: abstract |
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IsValid
Signature: bool
Modifiers: abstract |
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[()]
Signature: unit -> int
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[arg1]
Signature: int -> int
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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!!! |
Norm(p)
Signature: p:float -> float
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Returns the p-norm of the matrix. This is calculated as (|M00|^p + |M01|^p + ... )^(1/p) |
Norm1
Signature: int64
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Returns the Manhattan (or 1-) norm of the matrix. This is calculated as |M00| + |M01| + ... |
Norm2
Signature: float
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Returns the Euclidean (or 2-) norm of the matrix. This is calculated as Sqrt(M00 M00 + M01 M01 + ... ) |
NormMax
Signature: int64
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Returns the infinite (or maximum) norm of the matrix. This is calculated as max(|M00|, |M01|, ...). |
NormMin
Signature: int64
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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 -> V3l
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Returns index-th row of this matrix. |
Rows
Signature: IEnumerable<V3l>
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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
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Returns whether this matrix is singular. A matrix is singular if its determinant is zero. |
ToArray()
Signature: unit -> int64 []
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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: int64
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Returns the trace of this matrix. The trace is defined as the sum of the diagonal elements, and is only defined for square matrices. |
TransformDir(v)
Signature: v:V2l -> V2l
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Transforms direction vector v (v.w is presumed 0.0) by this matrix. |
TransformPos(p)
Signature: p:V2l -> V2l
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Transforms point p (p.w is presumed 1.0) by this matrix. No projective transform is performed. |
TransformPosProj(p)
Signature: p:V2l -> V2l
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Transforms point p (p.w is presumed 1.0) by this matrix. Projective transform is performed. Perspective Division is performed. |
TransformPosProjFull(p)
Signature: p:V2l -> V3l
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Transforms point p (p.w is presumed 1.0) by this matrix. Projective transform is performed. |
Transpose()
Signature: unit -> unit
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Transposes this matrix (and returns this). |
Transposed
Signature: M33l
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Gets transpose of this matrix. |
TransposedTransformDir(v)
Signature: v:V2l -> V2l
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Transforms direction vector v (v.w is presumed 0.0) by transposed version of this matrix. |
TransposedTransformPos(p)
Signature: p:V2l -> V2l
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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 -> M22l
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Returns a copy of the upper left sub matrix. |
Static members
| Static member | Description |
Add(a, b)
Signature: (a:M33l * b:M33l) -> M33l
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Add(m, s)
Signature: (m:M33l * s:int64) -> M33l
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Add(s, m)
Signature: (s:int64 * m:M33l) -> M33l
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Add(a, b)
Signature: (a:M33l * b:M33f) -> M33f
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Add(m, s)
Signature: (m:M33l * s:float32) -> M33f
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Add(s, m)
Signature: (s:float32 * m:M33l) -> M33f
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Add(a, b)
Signature: (a:M33l * b:M33d) -> M33d
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Add(m, s)
Signature: (m:M33l * s:float) -> M33d
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Add(s, m)
Signature: (s:float * m:M33l) -> M33d
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Distance(a, b, p)
Signature: (a:M33l * b:M33l * p:float) -> float
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Returns the p-distance between two matrices. |
Distance1(a, b)
Signature: (a:M33l * b:M33l) -> int64
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Returns the Manhatten (or 1-) distance between two matrices. |
Distance2(a, b)
Signature: (a:M33l * b:M33l) -> float
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Returns the Euclidean (or 2-) distance between two matrices. |
DistanceMax(a, b)
Signature: (a:M33l * b:M33l) -> int64
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Returns the maximal absolute distance between the components of the two matrices. |
DistanceMin(a, b)
Signature: (a:M33l * b:M33l) -> int64
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Returns the minimal absolute distance between the components of the two matrices. |
Divide(a, b)
Signature: (a:M33l * b:M33l) -> M33l
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Divide(m, s)
Signature: (m:M33l * s:int64) -> M33l
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Divide(s, m)
Signature: (s:int64 * m:M33l) -> M33l
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Divide(a, b)
Signature: (a:M33l * b:M33f) -> M33f
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Divide(m, s)
Signature: (m:M33l * s:float32) -> M33f
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Divide(s, m)
Signature: (s:float32 * m:M33l) -> M33f
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Divide(a, b)
Signature: (a:M33l * b:M33d) -> M33d
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Divide(m, s)
Signature: (m:M33l * s:float) -> M33d
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Divide(s, m)
Signature: (s:float * m:M33l) -> M33d
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FromCols(col0, col1, col2)
Signature: (col0:V3l * col1:V3l * col2:V3l) -> M33l
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FromRows(row0, row1, row2)
Signature: (row0:V3l * row1:V3l * row2:V3l) -> M33l
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Modulo(a, b)
Signature: (a:M33l * b:M33l) -> M33l
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Modulo(m, s)
Signature: (m:M33l * s:int64) -> M33l
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Modulo(s, m)
Signature: (s:int64 * m:M33l) -> M33l
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Modulo(a, b)
Signature: (a:M33l * b:M33f) -> M33f
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Modulo(m, s)
Signature: (m:M33l * s:float32) -> M33f
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Modulo(s, m)
Signature: (s:float32 * m:M33l) -> M33f
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Modulo(a, b)
Signature: (a:M33l * b:M33d) -> M33d
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Modulo(m, s)
Signature: (m:M33l * s:float) -> M33d
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Modulo(s, m)
Signature: (s:float * m:M33l) -> M33d
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Multiply(m, s)
Signature: (m:M33l * s:int64) -> M33l
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Multiply(s, m)
Signature: (s:int64 * m:M33l) -> M33l
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Multiply(m, s)
Signature: (m:M33l * s:float32) -> M33f
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Multiply(s, m)
Signature: (s:float32 * m:M33l) -> M33f
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Multiply(m, s)
Signature: (m:M33l * s:float) -> M33d
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Multiply(s, m)
Signature: (s:float * m:M33l) -> M33d
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Multiply(m, v)
Signature: (m:M33l * v:V3l) -> V3l
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Multiply(a, b)
Signature: (a:M33l * b:M33l) -> M33l
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op_Addition(a, b)
Signature: (a:M33l * b:M33l) -> M33l
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op_Addition(m, s)
Signature: (m:M33l * s:int64) -> M33l
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op_Addition(s, m)
Signature: (s:int64 * m:M33l) -> M33l
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op_Addition(a, b)
Signature: (a:M33l * b:M33f) -> M33f
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op_Addition(m, s)
Signature: (m:M33l * s:float32) -> M33f
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op_Addition(s, m)
Signature: (s:float32 * m:M33l) -> M33f
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op_Addition(a, b)
Signature: (a:M33l * b:M33d) -> M33d
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op_Addition(m, s)
Signature: (m:M33l * s:float) -> M33d
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op_Addition(s, m)
Signature: (s:float * m:M33l) -> M33d
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op_Division(a, b)
Signature: (a:M33l * b:M33l) -> M33l
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op_Division(m, s)
Signature: (m:M33l * s:int64) -> M33l
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op_Division(s, m)
Signature: (s:int64 * m:M33l) -> M33l
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op_Division(a, b)
Signature: (a:M33l * b:M33f) -> M33f
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op_Division(m, s)
Signature: (m:M33l * s:float32) -> M33f
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op_Division(s, m)
Signature: (s:float32 * m:M33l) -> M33f
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op_Division(a, b)
Signature: (a:M33l * b:M33d) -> M33d
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op_Division(m, s)
Signature: (m:M33l * s:float) -> M33d
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op_Division(s, m)
Signature: (s:float * m:M33l) -> M33d
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op_Equality(a, b)
Signature: (a:M33l * b:M33l) -> bool
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op_Equality(a, s)
Signature: (a:M33l * s:int64) -> bool
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op_Equality(s, a)
Signature: (s:int64 * a:M33l) -> bool
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op_Explicit(m)
Signature: m:M22i -> M33l
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op_Explicit(m)
Signature: m:M23i -> M33l
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op_Explicit(m)
Signature: m:M33i -> M33l
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op_Explicit(m)
Signature: m:M34i -> M33l
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op_Explicit(m)
Signature: m:M44i -> M33l
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op_Explicit(m)
Signature: m:M22l -> M33l
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op_Explicit(m)
Signature: m:M23l -> M33l
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op_Explicit(m)
Signature: m:M34l -> M33l
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op_Explicit(m)
Signature: m:M44l -> M33l
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op_Explicit(m)
Signature: m:M22f -> M33l
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op_Explicit(m)
Signature: m:M23f -> M33l
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op_Explicit(m)
Signature: m:M33f -> M33l
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op_Explicit(m)
Signature: m:M34f -> M33l
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op_Explicit(m)
Signature: m:M44f -> M33l
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op_Explicit(m)
Signature: m:M22d -> M33l
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op_Explicit(m)
Signature: m:M23d -> M33l
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op_Explicit(m)
Signature: m:M33d -> M33l
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op_Explicit(m)
Signature: m:M34d -> M33l
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op_Explicit(m)
Signature: m:M44d -> M33l
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op_Explicit(a)
Signature: (a:int []) -> M33l
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op_Explicit(a)
Signature: (a:int [,]) -> M33l
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op_Explicit(m)
Signature: m:M33l -> int []
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op_Explicit(m)
Signature: m:M33l -> int [,]
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op_Explicit(a)
Signature: (a:int64 []) -> M33l
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op_Explicit(a)
Signature: (a:int64 [,]) -> M33l
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op_Explicit(m)
Signature: m:M33l -> int64 []
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op_Explicit(m)
Signature: m:M33l -> int64 [,]
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op_Explicit(a)
Signature: (a:float32 []) -> M33l
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op_Explicit(a)
Signature: (a:float32 [,]) -> M33l
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op_Explicit(m)
Signature: m:M33l -> float32 []
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op_Explicit(m)
Signature: m:M33l -> float32 [,]
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op_Explicit(a)
Signature: (a:float []) -> M33l
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op_Explicit(a)
Signature: (a:float [,]) -> M33l
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op_Explicit(m)
Signature: m:M33l -> float []
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op_Explicit(m)
Signature: m:M33l -> float [,]
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op_GreaterThan(a, b)
Signature: (a:M33l * b:M33l) -> bool
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op_GreaterThan(a, s)
Signature: (a:M33l * s:int64) -> bool
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op_GreaterThan(s, a)
Signature: (s:int64 * a:M33l) -> bool
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op_GreaterThanOrEqual(a, b)
Signature: (a:M33l * b:M33l) -> bool
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op_GreaterThanOrEqual(a, s)
Signature: (a:M33l * s:int64) -> bool
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op_GreaterThanOrEqual(s, a)
Signature: (s:int64 * a:M33l) -> bool
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op_Inequality(a, b)
Signature: (a:M33l * b:M33l) -> bool
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op_Inequality(m, s)
Signature: (m:M33l * s:int64) -> bool
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op_Inequality(s, m)
Signature: (s:int64 * m:M33l) -> bool
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op_LessThan(a, b)
Signature: (a:M33l * b:M33l) -> bool
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op_LessThan(a, s)
Signature: (a:M33l * s:int64) -> bool
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op_LessThan(s, a)
Signature: (s:int64 * a:M33l) -> bool
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op_LessThanOrEqual(a, b)
Signature: (a:M33l * b:M33l) -> bool
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op_LessThanOrEqual(a, s)
Signature: (a:M33l * s:int64) -> bool
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op_LessThanOrEqual(s, a)
Signature: (s:int64 * a:M33l) -> bool
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op_Modulus(a, b)
Signature: (a:M33l * b:M33l) -> M33l
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op_Modulus(m, s)
Signature: (m:M33l * s:int64) -> M33l
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op_Modulus(s, m)
Signature: (s:int64 * m:M33l) -> M33l
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op_Modulus(a, b)
Signature: (a:M33l * b:M33f) -> M33f
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op_Modulus(m, s)
Signature: (m:M33l * s:float32) -> M33f
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op_Modulus(s, m)
Signature: (s:float32 * m:M33l) -> M33f
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op_Modulus(a, b)
Signature: (a:M33l * b:M33d) -> M33d
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op_Modulus(m, s)
Signature: (m:M33l * s:float) -> M33d
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op_Modulus(s, m)
Signature: (s:float * m:M33l) -> M33d
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op_Multiply(m, s)
Signature: (m:M33l * s:int64) -> M33l
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op_Multiply(s, m)
Signature: (s:int64 * m:M33l) -> M33l
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op_Multiply(m, s)
Signature: (m:M33l * s:float32) -> M33f
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op_Multiply(s, m)
Signature: (s:float32 * m:M33l) -> M33f
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op_Multiply(m, s)
Signature: (m:M33l * s:float) -> M33d
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op_Multiply(s, m)
Signature: (s:float * m:M33l) -> M33d
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op_Multiply(m, v)
Signature: (m:M33l * v:V3l) -> V3l
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op_Multiply(a, b)
Signature: (a:M33l * b:M33l) -> M33l
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op_Subtraction(a, b)
Signature: (a:M33l * b:M33l) -> M33l
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op_Subtraction(m, s)
Signature: (m:M33l * s:int64) -> M33l
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op_Subtraction(s, m)
Signature: (s:int64 * m:M33l) -> M33l
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op_Subtraction(a, b)
Signature: (a:M33l * b:M33f) -> M33f
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op_Subtraction(m, s)
Signature: (m:M33l * s:float32) -> M33f
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op_Subtraction(s, m)
Signature: (s:float32 * m:M33l) -> M33f
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op_Subtraction(a, b)
Signature: (a:M33l * b:M33d) -> M33d
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op_Subtraction(m, s)
Signature: (m:M33l * s:float) -> M33d
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op_Subtraction(s, m)
Signature: (s:float * m:M33l) -> M33d
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Parse(s)
Signature: s:string -> M33l
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Subtract(a, b)
Signature: (a:M33l * b:M33l) -> M33l
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Subtract(m, s)
Signature: (m:M33l * s:int64) -> M33l
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Subtract(s, m)
Signature: (s:int64 * m:M33l) -> M33l
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Subtract(a, b)
Signature: (a:M33l * b:M33f) -> M33f
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Subtract(m, s)
Signature: (m:M33l * s:float32) -> M33f
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Subtract(s, m)
Signature: (s:float32 * m:M33l) -> M33f
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Subtract(a, b)
Signature: (a:M33l * b:M33d) -> M33d
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Subtract(m, s)
Signature: (m:M33l * s:float) -> M33d
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Subtract(s, m)
Signature: (s:float * m:M33l) -> M33d
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TransformDir(m, v)
Signature: (m:M33l * v:V2l) -> V2l
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Transforms direction vector v (v.w is presumed 0.0) by matrix m. |
TransformPos(m, p)
Signature: (m:M33l * p:V2l) -> V2l
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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:M33l * p:V2l) -> V2l
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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:M33l * p:V2l) -> V3l
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Transforms point p (p.w is presumed 1.0) by matrix m. Projective transform is performed. |
TransposedMultiply(v, m)
Signature: (v:V3l * m:M33l) -> V3l
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TransposedTransformDir(m, v)
Signature: (m:M33l * v:V2l) -> V2l
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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:M33l * p:V2l) -> V2l
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Transforms point p (v.w is presumed 1.0) by transposed version of matrix m. No projective transform is performed. |
