Trafo3d
A trafo is a container for a forward and a backward matrix.
Constructors
| Constructor | Description |
new(forward, backward)
Signature: (forward:M44d * backward:M44d) -> unit
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new(trafo)
Signature: trafo:Trafo3d -> unit
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new(trafo)
Signature: trafo:Euclidean3d -> unit
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new(trafo)
Signature: trafo:Similarity3d -> unit
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new(trafo)
Signature: trafo:Rot3d -> unit
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Instance members
| Instance member | Description |
Equals(other)
Signature: other:obj -> bool
Modifiers: abstract |
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GetHashCode()
Signature: unit -> int
Modifiers: abstract |
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Inverse
Signature: Trafo3d
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ToString()
Signature: unit -> string
Modifiers: abstract |
Static members
| Static member | Description |
FromBasis(xAxis, yAxis, zAxis, orign)
Signature: (xAxis:V3f * yAxis:V3f * zAxis:V3f * orign:V3f) -> Trafo3d
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Returns the trafo that transforms from the coordinate system specified by the basis into the world coordinate system. |
FromBasis(xAxis, yAxis, zAxis, orign)
Signature: (xAxis:V3d * yAxis:V3d * zAxis:V3d * orign:V3d) -> Trafo3d
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Returns the trafo that transforms from the coordinate system specified by the basis into the world coordinate system. |
FromComponents(...)
Signature: (scale:V3d * rotation:V3d * translation:V3d) -> Trafo3d
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Builds a transformation matrix using the scale, rotation and translation componets. NOTE: Uses the Scale Rotation Translation notion. The rotation is in Euler-Angles (yaw, pitch, roll). |
FromNormalFrame(origin, normal)
Signature: (origin:V3d * normal:V3d) -> Trafo3d
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FromOrthoNormalBasis(...)
Signature: (xAxis:V3d * yAxis:V3d * zAxis:V3d) -> Trafo3d
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Returns the trafo that transforms from the coordinate system specified by the basis into the world coordinate system. NOTE that the axes MUST be normalized and normal to each other. |
op_Equality(a, b)
Signature: (a:Trafo3d * b:Trafo3d) -> bool
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op_Inequality(a, b)
Signature: (a:Trafo3d * b:Trafo3d) -> bool
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op_Multiply(t0, t1)
Signature: (t0:Trafo3d * t1:Trafo3d) -> Trafo3d
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The order of operation of Trafo3d multiplicaition is backward with respect to M44d multiplication in order to provide natural postfix notation. |
OrthoProjectionRH(l, r, b, t, n, f)
Signature: (l:float * r:float * b:float * t:float * n:float * f:float) -> Trafo3d
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Creates a right-handed ortho projection transform, where z-negative points into the scene. The resulting canonical view volume is [(-1, -1, 0), (+1, +1, +1)]. |
Parse(s)
Signature: s:string -> Trafo3d
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PerspectiveProjectionLH(...)
Signature: (l:float * r:float * b:float * t:float * n:float * f:float) -> Trafo3d
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Creates a left-handed perspective projection transform, where z-positive points into the scene. The resulting canonical view volume is [(-1, -1, 0), (+1, +1, +1)]. |
PerspectiveProjectionRH(...)
Signature: (l:float * r:float * b:float * t:float * n:float * f:float) -> Trafo3d
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Creates a right-handed perspective projection transform, where z-negative points into the scene. The resulting canonical view volume is [(-1, -1, 0), (+1, +1, +1)]. |
RotateInto(from, into)
Signature: (from:V3d * into:V3d) -> Trafo3d
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Rotation(axis, angleInRadians)
Signature: (axis:V3d * angleInRadians:float) -> Trafo3d
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Rotation(...)
Signature: (yawInRadians:float * pitchInRadians:float * rollInRadians:float) -> Trafo3d
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Rotation(yaw_pitch_roll_inRadians)
Signature: yaw_pitch_roll_inRadians:V3d -> Trafo3d
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RotationInDegrees(axis, angleInDegrees)
Signature: (axis:V3d * angleInDegrees:float) -> Trafo3d
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RotationInDegrees(...)
Signature: (yawInDegrees:float * pitchInDegrees:float * rollInDegrees:float) -> Trafo3d
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RotationInDegrees(...)
Signature: yaw_pitch_roll_inDegrees:V3d -> Trafo3d
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RotationX(angleInRadians)
Signature: angleInRadians:float -> Trafo3d
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RotationXInDegrees(angleInDegrees)
Signature: angleInDegrees:float -> Trafo3d
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RotationY(angleInRadians)
Signature: angleInRadians:float -> Trafo3d
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RotationYInDegrees(angleInDegrees)
Signature: angleInDegrees:float -> Trafo3d
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RotationZ(angleInRadians)
Signature: angleInRadians:float -> Trafo3d
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RotationZInDegrees(angleInDegrees)
Signature: angleInDegrees:float -> Trafo3d
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Scale(v)
Signature: v:V3d -> Trafo3d
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Scale(sx, sy, sz)
Signature: (sx:float * sy:float * sz:float) -> Trafo3d
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Scale(s)
Signature: s:float -> Trafo3d
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ShearXY(factorX, factorY)
Signature: (factorX:float * factorY:float) -> Trafo3d
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ShearXZ(factorX, factorZ)
Signature: (factorX:float * factorZ:float) -> Trafo3d
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ShearYZ(factorY, factorZ)
Signature: (factorY:float * factorZ:float) -> Trafo3d
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Translation(v)
Signature: v:V3d -> Trafo3d
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Translation(dx, dy, dz)
Signature: (dx:float * dy:float * dz:float) -> Trafo3d
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ViewTrafo(location, u, v, z)
Signature: (location:V3d * u:V3d * v:V3d * z:V3d) -> Trafo3d
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ViewTrafoLH(location, up, forward)
Signature: (location:V3d * up:V3d * forward:V3d) -> Trafo3d
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Creates a left-handed view trafo, where z-positive points into the scene. |
ViewTrafoRH(location, up, forward)
Signature: (location:V3d * up:V3d * forward:V3d) -> Trafo3d
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Creates a right-handed view trafo, where z-negative points into the scene. |
