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Added missing affine mirror matrices.
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2 changed files with 34 additions and 1 deletions
33
affine.scad
33
affine.scad
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@ -75,6 +75,22 @@ function affine2d_zrot(ang) = [
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];
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// Function: affine2d_mirror()
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// Usage:
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// mat = affine2d_mirror(v);
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// Description:
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// Returns the 3x3 affine2d matrix to perform a reflection of a 2D vector across the line given by its normal vector.
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// Arguments:
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// v = The normal vector of the line to reflect across.
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function affine2d_mirror(v) =
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let(v=normalize(point2d(v)), a=v.x, b=v.y)
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[
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[1-2*a*a, 0-2*a*b, 0],
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[0-2*a*b, 1-2*b*b, 0],
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[ 0, 0, 1]
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];
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// Function: affine2d_skew()
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// Usage:
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// affine2d_skew(xa, ya)
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@ -243,6 +259,23 @@ function affine3d_rot_from_to(from, to) = let(
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];
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// Function: affine3d_mirror()
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// Usage:
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// mat = affine3d_mirror(v);
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// Description:
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// Returns the 4x4 affine3d matrix to perform a reflection of a 3D vector across the plane given by its normal vector.
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// Arguments:
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// v = The normal vector of the plane to reflect across.
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function affine3d_mirror(v) =
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let(v=normalize(point3d(v)), a=v.x, b=v.y, c=v.z)
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[
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[1-2*a*a, -2*a*b, -2*a*c, 0],
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[ -2*b*a, 1-2*b*b, -2*b*c, 0],
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[ -2*c*a, -2*c*b, 1-2*c*c, 0],
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[ 0, 0, 0, 1]
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];
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// Function: affine3d_skew_xy()
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// Usage:
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// affine3d_skew_xy(xa, ya)
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@ -8,7 +8,7 @@
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//////////////////////////////////////////////////////////////////////
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BOSL_VERSION = [2,0,49];
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BOSL_VERSION = [2,0,50];
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// Section: BOSL Library Version Functions
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