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fix comment in math.scad
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2 changed files with 9 additions and 8 deletions
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@ -109,7 +109,7 @@ function _inherit_gear_thickness(thickness) =
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// zrot(87-360/30)stroke([[pitchpt,0],[pitchpt+11,0]], width=0.25);
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// right(8.3)back(74)zrot(87-360/30)zrot(10,cp=[pitchpt,0]) stroke( arc(angle=[0,20],r=10.5),endcaps="arrow2",width=.25);
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// back(84)right(13)text("pressure angle",size=2.5);
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// }
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// }
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// Continues:
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// The size of the teeth can be specified as the circular pitch, the distance along the pitch circle
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// from the start of one tooth to the start of the text tooth. The circular pitch can be computed as
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15
math.scad
15
math.scad
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@ -1560,13 +1560,6 @@ function _poly_roots(p, pderiv, s, z, tol, i=0) =
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// eps = used to determine whether imaginary parts of roots are zero
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// tol = tolerance for the complex polynomial root finder
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// The algorithm is based on Brent's method and is a combination of
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// bisection and inverse quadratic approximation, where bisection occurs
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// at every step, with refinement using inverse quadratic approximation
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// only when that approximation gives a good result. The detail
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// of how to decide when to use the quadratic came from an article
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// by Crenshaw on "The World's Best Root Finder".
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// https://www.embedded.com/worlds-best-root-finder/
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function real_roots(p,eps=undef,tol=1e-14) =
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assert( is_vector(p), "Invalid polynomial." )
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let( p = _poly_trim(p,eps=0) )
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@ -1602,6 +1595,14 @@ function real_roots(p,eps=undef,tol=1e-14) =
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// x0 = endpoint of interval to search for root
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// x1 = second endpoint of interval to search for root
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// tol = tolerance for solution. Default: 1e-15
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// The algorithm is based on Brent's method and is a combination of
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// bisection and inverse quadratic approximation, where bisection occurs
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// at every step, with refinement using inverse quadratic approximation
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// only when that approximation gives a good result. The detail
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// of how to decide when to use the quadratic came from an article
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// by Crenshaw on "The World's Best Root Finder".
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// https://www.embedded.com/worlds-best-root-finder/
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function root_find(f,x0,x1,tol=1e-15) =
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let(
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y0 = f(x0),
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