Ti 1ddlZddlZddlZddlmZddlmZddlmZ ddl m Z ddlm Z m Z dd Zdd Zd ZddZddZddZddZdS)N)util)log)tol_path) fit_nsphere)arcentitiesFct|dkrdStj|tj}t ||\}}}t j||z cxkrt jksn|rtj d||z dS||z }|t j kr&|r"tj dt|dStj |d} tj| } | |z } | t jkr&|r"tj d t| dS|rJ| t jkdkr$tj d t| dS| |z } | t jkr&|r"tj d t| dS|dd g| dd gdzz} tj| |z }tj| dd g}tjtjtj||}tj|tjdz z }|t jkr+|r'tj dtj|dS||d}|S)a? Fit a circle, and reject the fit if: * the radius is larger than tol.radius_min*scale or tol.radius_max*scale * any segment spans more than tol.seg_angle * any segment is longer than tol.seg_frac*scale * the fit deviates by more than tol.radius_frac*radius * the segments on the ends deviate from tangent by more than tol.tangent Parameters --------- points : (n, d) List of points which represent a path prior : (center, radius) tuple Best guess or None if unknown scale : float What is the overall scale of the set of points verbose : bool Output log.debug messages for the reasons for fit rejection only suggested for manual debugging Returns ----------- if fit is acceptable: (center, radius) tuple else: None Ndtype)priorzcircle fit error: R %fzcircle fit error: fit %sraxiszcircle fit error: angle %szfinal: angle %szcircle fit error: segment %sg?rzcircle fit error: tangent %f)centerradius)lennp asanyarrayfloat64rtol radius_min radius_maxrdebug radius_fracstrdiffrrow_norm seg_angleany seg_angle_minsumseg_fracunitizeabsarccos diagonal_dotpimaxtangentdegrees)pointsscalerfinalverboseCR r_deviationr_errorvectorssegmentanglescaledmid_ptradialendsr-results O/DATA/AppData/hermes/venv/lib/python3.11/site-packages/trimesh/path/simplify.pyfit_circle_checkr@ s: 6{{Qt ]6 4 4 4F$F%888Aq+ >QY 8 8 8 8#. 8 8 8 8  ; I.E : : :tAoG   @ I0#g,, ? ? ?tgf1%%%GmG$$G aKE  ""$$  @ I2CJJ ? ? ?t %#++0022Q66 #SZZ000tu_F""$$  C I4c&kk B B BtQG_B 03 6 7F \&1* % %F <B( ) )DfRYt0>>??@@GfWruqy())--//G  K I4bj6I6I J J JtQ ' 'F Mctj|}t|}tj|d|dz t jkrdStj|d}tj|}tj |dz t j krdSt||}|dStj di|}|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 %LLE y~~fQi&*,-- 99t &a CY_F vfslco--t & . . .B zt%%"%%G NrAc\tj|tj}t|}t |jdks|jddkrt dt |dkr|S|dd|ddz }tj |}|tj k}tj |d|dd|f}||}||}|dd|dd z j dddj }|dddfxxdzcc<tj |}|tj k}||xx||d zcc<tjtj||dd}tj||ddz ||ddz fd } tjt |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 4 4 4F %LLE 6<AaA!5!5./// 6{{Q{{}}qrr VCRC[(I]9--N!CI-LYq 6!"":l#;< = =F,'I#L1N 122J $ '" - /DAJJJ"JJJ d##Isy(L)L199'BBB)$ #2#??@@Jv nQRR( (*~crc7J*JKRS 73v;;d + + +D27D2J$,./ D\F MrAMbP?r cddlm}m}|t|}t j|}tj|d|dz tj k}||j ||d}t j dd|}t j |||} |r(| ddg d} | | 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)splevsplprepNr)skgrCr)scipy.interpolaterjrkrrrrGrHrrIrYlinspace column_stackmean) r/smoothcountdegreerjrkclosedtpli resampledshareds r?resample_splinerzs(10000000 }F  ]6 " "F Y^^F1Ir 2 3 3ci ?F '&(f / / / 2C Ce$$Aa ..I Ar7#((a(00 !  " rAc8ddlm}|t|}|d}tj|tj}tj|d|dz tj k}||j |d\}}}tj |}tj t|}|r6|ddg d|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)rkNgMb`?r r)rlr)r/knotsru)rnrkrrrrrGrHrrIrY transposearangerqr BSpline) r/rrrsrkrur|rQ_degreeindexentitys r?points_to_spline_entityrs**))))) }F  ~ ]6 4 4 4F Y^^F1Ir 2 3 3ci ?F%gfh&999!<E7Gl7##G Ic'll # #E aW%***22 #2#,!Hb  U% G G GF 7?rAc td|jDrtjd|St j|j}tj}tj}|j }|j D]}t||}|a| tj tjdt!|zd||wt%||} tjt!| t!|z} | d| d <| tj| || t)|||t j|j| } |jtjt!|d tjt!|t4 tjgdd|jvr|jd|| _| 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 c36K|]}|jjdkVdS)LineN) __class____name__).0rs r? z!simplify_basic..;s- N N66  $ . N N N N N NrAz3Skipping path containing entities other than `Line`rDNr Tr/rurr)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,sb N NW=M N N NNN GHHH M'. ) )E$&&L$&&L ME$((85111      BIaLL3|3D3D$DTRRR       ' ' ' '$HE:::FiF ,,s > >    ' ' ' 'gw/00 J KYs<001199'BB'#l"3"34@@@   5; !!!J rAc g}g}|j}|jD]}t|||}|a|t jt jdt|zd| |wt||\}} |xj t|z c_ | | ||t|||} | S)aJ Replace discrete curves with b-spline or Arc and return the result as a new Path2D object. Parameters ------------ path : trimesh.path.Path2D Input geometry smooth : float Distance to smooth Returns ------------ simplified : Path2D Consists of Arc and BSpline entities )r0r2Nr Tr)rr)r r) r0rrRrr rrr~rrrr/r) pathrrr2 new_vertices new_entitiesr0rrrrrs r?simplify_spliner~s$LL JEM$$85'BBB      BIaLL3|3D3D$DTRRR       ' ' ' 38FKKK \*** H%%%F####d\LIIIJ rA)NFF)F)rhNr )NN)NF)rrWnumpyrr constantsrrrnsphererr r r@rRrgrzrrrrErAr?rs% ''''''!!!!!!XXXXv++++\???D$$$$N****ZOOOOd,,,,,,rA