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modified linear solvers to handle matrix RHS, added error checking to

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lerp and affine_frame_map, adde same_shape(), added square option to
is_matrix.
This commit is contained in:
Adrian Mariano
2020-03-17 07:11:25 -04:00
parent affd269081
commit 8fc3af0264
3 changed files with 65 additions and 21 deletions
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14
affine.scad
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@@ -245,13 +245,14 @@ function affine3d_rot_from_to(from, to) = let(
// Description:
// Returns a transformation that maps one coordinate frame to another. You must specify two or three of `x`, `y`, and `z`. The specified
// axes are mapped to the vectors you supplied. If you give two inputs, the third vector is mapped to the appropriate normal to maintain a right hand coordinate system.
// If the vectors you give are orthogonal the result will be a rotation. The `reverse` parameter will supply the inverse map, which enables you
// to map two arbitrary coordinate systems two each other by using the canonical coordinate system as an intermediary.
// If the vectors you give are orthogonal the result will be a rotation and the `reverse` parameter will supply the inverse map, which enables you
// to map two arbitrary coordinate systems two each other by using the canonical coordinate system as an intermediary. You cannot use the `reverse` option
// with non-orthogonal inputs.
// Arguments:
// x = Destination vector for x axis
// y = Destination vector for y axis
// z = Destination vector for z axis
// reverse = reverse direction of the map. Default: false
// reverse = reverse direction of the map for orthogonal inputs. Default: false
// Examples:
// T = affine_frame_map(x=[1,1,0], y=[-1,1]); // This map is just a rotation around the z axis
// T = affine_frame_map(x=[1,0,0], y=[1,1]); // This map is not a rotation because x and y aren't orthogonal
@@ -276,7 +277,12 @@ function affine_frame_map(x,y,z, reverse=false) =
is_undef(z) ? [x, y, cross(x,y)] :
[x, y, z]
)
reverse ? affine2d_to_3d(map) : affine2d_to_3d(transpose(map));
reverse ?
let( ocheck = approx(map[0]*map[1],0) && approx(map[0]*map[2],0) && approx(map[1]*map[2],0))
assert(ocheck, "Inputs must be orthogonal when reverse==true")
affine2d_to_3d(map)
:
affine2d_to_3d(transpose(map));