mirror of
https://github.com/nophead/NopSCADlib.git
synced 2025-09-01 03:21:53 +02:00
Added screw threads to most things that are threaded.
Added a mechanism for tests.py and views.py to have command line options.
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@@ -39,9 +39,9 @@ function rotate(a, v) = //! Generate a 4x4 rotation matrix, ```a``` can be a vec
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sy = sin(av[1]),
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sz = sin(av[2]))
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[
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[ cy * cz, cz * sx * sy - cx * sz, cx * cz * sy + sx * sz, 0],
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[ cy * sz, cx * cz + sx * sy * sz,-cz * sx + cx * sy * sz, 0],
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[-sy, cy * sx, cx * cy, 0],
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[ cy * cz, sx * sy * cz - cx * sz, cx * sy * cz + sx * sz, 0],
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[ cy * sz, sx * sy * sz + cx * cz, cx * sy * sz - sx * cz, 0],
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[-sy, sx * cy, cx * cy, 0],
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[ 0, 0, 0, 1]
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]
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: let(s = sin(a),
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@@ -65,6 +65,7 @@ function scale(v) = let(s = is_list(v) ? v : [v, v, v]) //! Generate a 4x4 matr
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];
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function vec3(v) = [v.x, v.y, v.z]; //! Return a 3 vector with the first three elements of ```v```
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function vec4(v) = [v.x, v.y, v.z, 1]; //! Return a 4 vector with the first three elements of ```v```
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function transform(v, m) = vec3(m * [v.x, v.y, v.z, 1]); //! Apply 4x4 transform to a 3 vector by extending it and cropping it again
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function transform_points(path, m) = [for(p = path) transform(p, m)]; //! Apply transform to a path
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function unit(v) = let(n = norm(v)) n ? v / n : v; //! Convert ```v``` to a unit vector
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@@ -74,3 +75,11 @@ function transpose(m) = [ for(j = [0 : len(m[0]) - 1]) [ for(i = [0 : len(m) - 1
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function identity(n, x = 1) = [for(i = [0 : n - 1]) [for(j = [0 : n - 1]) i == j ? x : 0] ]; //! Construct an arbitrary size identity matrix
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function reverse(v) = let(n = len(v) - 1) n < 0 ? [] : [for(i = [0 : n]) v[n - i]]; //! Reverse a vector
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function angle_between(v1, v2) = acos(v1 * v2 / (norm(v1) * norm(v2))); //! Return the angle between two vectors
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// https://www.gregslabaugh.net/publications/euler.pdf
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function euler(R) = let(ay = asin(-R[2][0]), cy = cos(ay)) //! Convert a rotation matrix to a Euler rotation vector.
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cy ? [ atan2(R[2][1] / cy, R[2][2] / cy), ay, atan2(R[1][0] / cy, R[0][0] / cy) ]
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: R[2][0] < 0 ? [atan2( R[0][1], R[0][2]), 180, 0]
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: [atan2(-R[0][1], -R[0][2]), -180, 0];
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