2h|dZddlmZmZmZmZmZddlmZdZ dZ dZ dZ edezZ d ZGd d Zd Zy )z=Helpers for manipulating 2D points and vectors in COLR table.)copysigncoshypotisclosepiotRoundc.|d|dz |d|dz fSNr)origintargets @D:\jyotish\venv\Lib\site-packages\fontTools/colorLib/geometry.py_vector_betweenrs' 1Iq !6!9vay#8 99c:t|dt|dfSr r)pts r _round_pointr s BqENGBqEN ++rc>t|}|dk(ry|d|z |d|z fSr )r)veclengths r _unit_vectorrs0 C[F { FVOSVf_ --rg-C6?g?ct|}|syg}|D]F}t |cxkr tkrnn|jd,|jtd|Ht |S)N)rrr?)r_UNIT_VECTOR_THRESHOLDappendrtuple) directionuvresult uv_components r_rounding_offsetr#sc i B  F " "l K5K K MM!  MM(3 5 6 =rc4eZdZdZdZdZefdZdZdZ y)Circlec ||_||_yNcentreradius)selfr)r*s r__init__zCircle.__init__7s  rc<d|jd|jdS)NzCircle(centre=z , radius=)r(r+s r__repr__zCircle.__repr__;s }Idkk]!DDrcftt|jt|jSr')r%rr)r r*r/s rroundz Circle.round>s!l4;;/1EFFrc|jtt|j|jz}t |j|t xs|j|kDS)N)rel_tol)r*rrr)r_CIRCLE_INSIDE_TOLERANCE)r+ outer_circle tolerancedists rinsidez Circle.insideAsQ{{UODKKATAT$UVV L''7O P *""T) rc4|j|jk(Sr'r))r+others r concentriczCircle.concentricHs{{ell**rcV|jd|z|jd|zf|_yr r;)r+dxdys rmovez Circle.moveKs({{1~*DKKNR,?@ rN) __name__ __module__ __qualname__r,r0r2r5r9r=rAr rrr%r%6s)EG.F +Arr%c t||t||}}|j|}|j}|j}|j|} || k(r|S| r#t|j|j} d} n"t|j|j} d} t | \} } d}t |D]b}|j|r&|xj| z c_|jdk\sJ|j| | ||j|k(sa|Std|d|rdndd|d |d ) aRound start circle so that it stays inside/outside end circle after rounding. The rounding of circle coordinates to integers may cause an abrupt change if the start circle c0 is so close to the end circle c1's perimiter that it ends up falling outside (or inside) as a result of the rounding. To keep the gradient unchanged, we nudge it in the right direction. See: https://github.com/googlefonts/colr-gradients-spec/issues/204 https://github.com/googlefonts/picosvg/issues/158 rgrzRounding circle  r9outsidez failed after z attempts!) r%r9r2rr)r#ranger=r*rAAssertionError)c0r0c1r1startendinside_before_round round_start round_endinside_after_roundr radius_deltar?r@ max_attempts_s r%round_start_circle_stable_containmentrXOsXBB3E,,s+++-K I$++I600 #I$4$4k6H6HI  $K$6$6 8H8HI  i (FB"L <   ! !) ,   , . %%* **   R $ +"4"4Y"? ?  !!ugQ.xI>ae>,z ;  rN)__doc__mathrrrrrfontTools.misc.roundToolsr rrrr5rr#r%rXr rrr\sOC22-:,.  URZ.AA2@r