j 1ddlZddlZddlZddlmZddlmZddlmZ ddl m Z ddlm Z m Z dd Zdd Zd Zdd Zdd ZddZddZy)N)util)log)tol_path) fit_nsphere)arcentitiesct|dkrytj|tj}t ||\}}}t j ||z cxkrt jksn|rtjd||z y||z }|t jkDr"|rtjdt|ytj|d} tj| } | |z } | t jkDj!r"|rtjd t| y|rD| t j"kDj%dkr tjd t| y| |z } | t j&kDj!r"|rtjd t| y|dd g| dd gdzz} tj(| |z }tj(| dd g}tj*tj,tj.||}tj*|tj0dz z j3}|t j4kDr,|r)tjdtj6|y||d}|S)a? Fit a circle, and reject the fit if: * the radius is larger than tol.radius_min*scale or tol.radius_max*scale * any segment spans more than tol.seg_angle * any segment is longer than tol.seg_frac*scale * the fit deviates by more than tol.radius_frac*radius * the segments on the ends deviate from tangent by more than tol.tangent Parameters --------- points : (n, d) List of points which represent a path prior : (center, radius) tuple Best guess or None if unknown scale : float What is the overall scale of the set of points verbose : bool Output log.debug messages for the reasons for fit rejection only suggested for manual debugging Returns ----------- if fit is acceptable: (center, radius) tuple else: None Ndtype)priorzcircle fit error: R %fzcircle fit error: fit %sraxiszcircle fit error: angle %szfinal: angle %szcircle fit error: segment %sg?rzcircle fit error: tangent %f)centerradius)lennp asanyarrayfloat64rtol radius_min radius_maxrdebug radius_fracstrdiffrrow_norm seg_angleany seg_angle_minsumseg_fracunitizeabsarccos diagonal_dotpimaxtangentdegrees)pointsscalerfinalverboseCR r_deviationr_errorvectorssegmentanglescaledmid_ptradialendsr-results B/DATA/.local/lib/python3.12/site-packages/trimesh/path/simplify.pyfit_circle_checkr@ s/: 6{Q ]]6 4F$F%8Aq+ >>QY 8#.. 8  II.E :AoG  II0#g, ?ggf1%GmmG$G aKE  ""$  II2CJ ? %#+++002Q6 #SZ0u_F""$  II4c&k BQG_B 03 6 7F \\&1* %F <<B( )DffRYYt00>?@GffWruuqy()--/G  II4bjj6I JQ 'F Mctj|}t|}tjj |d|dz t j kDrytj|d}tj|}tj|dz t jkDryt||}|ytjdi|}|S)a Given a set of points, quickly determine if they represent a circle or not. Parameters ------------- points : (n,2 ) float Points in space scale : float Scale of overall drawing verbose : bool Print all fit messages or not Returns ------------- control: (3,2) float, points in space, OR None, if not a circle rrNr?r0)rrfloatlinalgnormrmergeptpdivider( aspect_fracr@r to_threepoint)r/r0r2boxaspectCRcontrols r? is_circlerRhs*]]6 "F %LE yy~~fQi&*,- 9 &&a CYY_F vvfslcoo- & .B z%"%G NrActj|tj}t|}t |j dk7s|j ddk7r t dt |dkr|jS|dd|ddz }tj|}|tjkD}tj|d|dd|f}||}||}|dd|dd z jdddj}|dddfxxdzcc<tj|}|tjkD}||xx||jd zcc<tjtj ||dd}tj"||ddz ||ddz fd } tj$t |t&} d | dd| d |zk<|| } | S)ar Given a set of points representing a path in space, merge points which are colinear. Parameters ---------- points : (n, dimension) float Points in space scale : float Scale of drawing for precision Returns ---------- merged : (j, d) float Points with colinear and duplicate points merged, where (j < n) r rrzonly for 2D points!r NrrrrrrFg-C6?)rrrrFrshape ValueErrorcopyrr!rrIvstackTreshaper(r*r,onesbool) r/r0 directiondirection_norm direction_okperp perp_norm perp_nonzero projectionprojection_ratiomaskmergeds r?merge_colinearrgs$]]6 4F %LE 6<<AaA!5.// 6{Q{{}qr VCR[(I]]9-N!CII-LYYq 6!":l#;< =F,'I#L1N 12J $ ' '" - / /DAJ"J d#Isyy(L)L199'BB))$ #2?@Jvv nQR( (*~cr7J*JKRS 773v;d +D27D2J$,./ D\F MrAcddlm}m}| t|}t j |}tj j|d|dz tjk}||j||d}t jdd|}t j|||} |r!| ddgjd} | | d<| | d<| S)a Resample a path in space, smoothing along a b-spline. Parameters ----------- points : (n, dimension) float Points in space smooth : float Smoothing distance count : int or None Number of samples desired in output degree : int Degree of spline polynomial Returns --------- resampled : (count, dimension) float Points in space r)splevsplprepr)skgrCr)scipy.interpolaterirjrrrrGrHrrIrYlinspace column_stackmean) r/smoothcountdegreerirjclosedtpli resampledshareds r?resample_splinerys(1 }F  ]]6 "F YY^^F1Ir 2 3cii ?F &((f / 2C Ce$Aa .I Ar7#((a(0 !  " rAcddlm}| t|}|d}tj|tj }tj j|d|dz tjk}||j|d\}}}tj|}tjt|}|r'|ddgjd|d<|dd}|d|d<tj||| } | |fS) a Create a spline entity from a curve in space Parameters ----------- points : (n, dimension) float Points in space smooth : float Smoothing distance count : int or None Number of samples desired in result Returns --------- entity : entities.BSpline Entity object with points indexed at zero control : (m, dimension) float New vertices for entity r)rjNgMb`?r r)rkr)r/knotsrt)rmrjrrrrrGrHrrIrY transposearangerpr BSpline) r/rqrrrjrtr{rQ_degreeindexentitys r?points_to_spline_entityrs** }F  ~ ]]6 4F YY^^F1Ir 2 3cii ?F%fhh&9!<E7Gll7#G IIc'l #E aW%***2 #2,!Hb   U% GF 7?rAc td|jDrtjd|St j |j }tj}tj}|j}|jD]}t||}|W|jtjtjdt!|zd|j#|it%||} tjt!| t!|z} | d| d<|jtj&| |j#| t)|||t j |j*| } |j,j/tjt!|j1d tj2t!|t4 tj6gd d|j,vr|j,j9d|| _| j j;| S)a Merge colinear segments and fit circles. Parameters ----------- drawing : Path2D Source geometry, will not be modified Returns ----------- simplified : Path2D Original path but with some closed line-loops converted to circles c3NK|]}|jjdk7yw)LineN) __class____name__).0rs r? z!simplify_basic..;s$ N=M66   $ $ .=Ms#%z3Skipping path containing entities other than `Line`rDr Tr/rtrr)r/)r verticesmetadataprocessrTr )paths path_validdanglingbounds)r#r rrrWdeepcopy_cache collectionsdequer0discreterRappendArcrr}rextendrgrtypercacheupdaterZr[r\arraypopid_set) drawingrkwargsr vertices_new entities_newr0rcircler/indexes simplifieds r?simplify_basicr,s NW=M=M NN GH MM'.. )E$$&L$$&L MME$$851      BIIaL3|3D$DTR     '$HE:FiiF ,s    ')%.gw//0 J KKYYs<0199'B''#l"34@  5;; !J rAc g}g}|j}|jD]}t|||}|W|jt j t jdt|zd|j|jt||\}} |xjt|z c_ |j| |j|t|||} | S)aJ Replace discrete curves with b-spline or Arc and return the result as a new Path2D object. Parameters ------------ path : trimesh.path.Path2D Input geometry smooth : float Distance to smooth Returns ------------ simplified : Path2D Consists of Arc and BSpline entities )r0r2r Tr)rq)r r) r0rrRrr rrr}rrrr/r) pathrqr2 new_vertices new_entitiesr0rrrrrs r?simplify_spliner~s$LL JJEMM85'B      BIIaL3|3D$DTR     ' 38FK \** H%F##"(d\LIJ rA)NFF)F)gMbP?Nr )NN)NF)rrWnumpyrr constantsrrrnsphererr r r@rRrgryrrrrErAr?rsH '!Xv+\?D$N*ZOd,rA