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Fix parameter sequence for circle_line_intersection
Add sphere_line_intersection
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1 changed files with 37 additions and 4 deletions
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@ -1048,15 +1048,20 @@ function _is_point_above_plane(plane, point) =
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// Arguments:
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// c = center of circle
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// r = radius of circle
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// ---
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// d = diameter of circle
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// line = two points defining the line
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// bounded = false for unbounded line, true for a segment, or a vector [false,true] or [true,false] to specify a ray with the first or second end unbounded. Default: false
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// ---
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// d = diameter of circle
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// eps = epsilon used for identifying the case with one solution. Default: 1e-9
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function circle_line_intersection(c,r,d,line,bounded=false,eps=EPSILON) =
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let(r=get_radius(r=r,d=d,dflt=undef))
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function circle_line_intersection(c,r,line,bounded=false,d,eps=EPSILON) =
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assert(_valid_line(line,2), "Invalid 2d line.")
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assert(is_vector(c,2), "Circle center must be a 2-vector")
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_circle_or_sphere_line_intersection(c,r,line,bounded,d,eps);
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function _circle_or_sphere_line_intersection(c,r,line,bounded=false,d,eps=EPSILON) =
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let(r=get_radius(r=r,d=d,dflt=undef))
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assert(is_num(r) && r>0, "Radius must be positive")
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assert(is_bool(bounded) || is_bool_list(bounded,2), "Invalid bound condition")
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let(
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@ -1491,6 +1496,34 @@ function _noncollinear_triple(points,error=true,eps=EPSILON) =
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// Section: Sphere Calculations
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// Function: sphere_line_intersection()
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// Usage:
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// isect = sphere_line_intersection(c,<r|d>,[line],[bounded],[eps]);
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// Topics: Geometry, Spheres, Lines, Intersection
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// Description:
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// Find intersection points between a sphere and a line, ray or segment specified by two points.
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// By default the line is unbounded.
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// Arguments:
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// c = center of sphere
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// r = radius of sphere
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// line = two points defining the line
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// bounded = false for unbounded line, true for a segment, or a vector [false,true] or [true,false] to specify a ray with the first or second end unbounded. Default: false
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// ---
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// d = diameter of sphere
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// eps = epsilon used for identifying the case with one solution. Default: 1e-9
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function sphere_line_intersection(c,r,line,bounded=false,d,eps=EPSILON) =
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assert(_valid_line(line,3), "Invalid 3d line.")
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assert(is_vector(c,3), "Sphere center must be a 3-vector")
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_circle_or_sphere_line_intersection(c,r,line,bounded,d,eps);
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// Section: Polygons
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// Function: polygon_area()
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