Mi&jSrSSKrSSKrSSKrSSKJrJrJrJ r SSKJ r SSK J r SSKJrJr SSKJrJrJr SS KJr SS KJrJrJrJrJrJrJr SS KJ r SS K!J"r# \"S 5r'S\ RP"S54S\ RP"S54S\ RP"S54/r)SRS\S\\S\*S\\S\\S\ 4 Sjjr+SSSSS\S\\S\*S\ 4 Sjjr,STSSS\S \\S\*S!\*S"\\S\ 4S#jjr-S$\S%\S\4S&jr.SUS'\S(\S\S\\S\ 4 S)jjr/SVS*\\0S+\\0S,\*S\\\Rb\\Rd44S-jjr3S\4S.jr4SWS/\\S\\S0\\4S1jjr5S\ 4S2jr6SXS3\S4\4S5jjr7SYS4\S6\\S\\S\ 4S7jjr8SZS\S4\S6\\S\\S\ 4 S8jjr9S[S4\S\S\\S\\S\ 4 S9jjr:S\S4\S\\S\\S:\\S\\4 S;jjr;S\S<\S=\S\\S\\S\\S:\\4 S>jjrS^SB\S\\SC\\SD\\SE\\4 SFjjr?S_SG\SB\\4SHjjr@S[SI\SJ\\SK\\4SLjjrAS`SM\SN\SO\SP\S\\4 SQjjrBg!\$a/r%\RL"\%5r \RL"\%5r#Sr%C%GNOSr%C%ff=f)azP creation.py -------------- Create meshes from primitives, or with operations. N) exceptionsgrouping trianglesutil)transformations)Trimesh)logtol) align_vectorsfaces_to_edgesplane_transform)get_json) ArrayLikeDictIntegerNDArrayNumberOptionalTuple)Polygon)loadsz creation.jsonearcut mapbox_earcutmanifold manifold3dtriangle linestringanglecapsections transformreturnc r [R"U[RS9n[UR5S:wdURSS:wa [ S5eUc[R S-nSnO'[R"U[R S-SS 9nUc"[U[R S-- S -5nUS- n[R"S X5n[R"[R"U5[R"U545n[U5n USS2S 4n USS2S4n [R"[R"USU 45RS 5[R"U [U55RS 5-[R"U [U5545n U(a>[ R"(a#[R$"U SU X*SSS 9(deU SU *n [U5S- n [R&"S U SSXS-/5n[R"XS- 5RS5nU[R"[R("U S- 5S5R*RS 5- nU[,R."X5[ R0:n[R"[R("U 5U -[U5S45R*RS 5n[R"UR35U 5RS5n[ R"(a@[R$"URSURS S45U- S 5(deUU-[U 5-nU(dU(a[5[7U5SS9unn[ R"(aJ[8R:"U5S n[=U5[=[?[U555:XdS5e[U 5U - nUU-n[R@"U5n[RB"UUU/5nUb[DRF"X5n [ISU US.UD6n[ R"(av[R$"U S S/S5(d"[R$"US US5(a3U(dU(aURJ(deURLS:XdeU$)a1 Revolve a 2D line string around the 2D Y axis, with a result with the 2D Y axis pointing along the 3D Z axis. This function is intended to handle the complexity of indexing and is intended to be used to create all radially symmetric primitives, eventually including cylinders, annular cylinders, capsules, cones, and UV spheres. Note that if your linestring is closed, it needs to be counterclockwise if you would like face winding and normals facing outwards. Parameters ------------- linestring : (n, 2) float Lines in 2D which will be revolved angle Angle in radians to revolve curve by or if not passed will be a full revolution (`angle = 2*pi`) cap If not a full revolution (`0.0 < angle < 2 * pi`) and cap is True attempt to add a tessellated cap. sections Number of sections result should have If not specified default is 32 per revolution transform : None or (4, 4) float Transform to apply to mesh after construction **kwargs : dict Passed to Trimesh constructor Returns -------------- revolved : Trimesh Mesh representing revolved result dtyperzlinestring must be 2D!N@Tg|=)atol rr'r,rg:0yE>r,)r'rr,r/)force_verticeszTriangulation added vertices!verticesfaces)'np asanyarrayfloat64lenshape ValueErrorpiriscloseintlinspace column_stackcossintilereshaper strictallclosearrayarangeTrareamergeraveltriangulate_polygonrr unique_rowssetrangefliplrvstacktftransform_pointsr is_volume body_count)rrr r!r"kwargsclosedthetapointsperradiusheightr2slicesquadsingleoffsetstackedr3cap_0_vertices cap_0_facesuniquecap_angle_facesflipped_cap_angle_facesmeshs j/var/www/eduai.edurigo.com/storigo/production/storigo_env/lib/python3.13/site-packages/trimesh/creation.pyrevolverj)s1Vz ? A A I I' RFggfllnf-55g>G zz{{7??B Q+CDvMqQQQQv X .E c': J ' #  ::)).9!> !>!### Kpolygonrr] mid_planec [U40UD6upVU(aL[R"S5n[[ U55S- US'UcUnO[R "X'5n[ SXVXS.UD6nU$)a Extrude a 2D shapely polygon into a 3D mesh Parameters ---------- polygon : shapely.geometry.Polygon 2D geometry to extrude height : float Distance to extrude polygon along Z transform : None or (4, 4) float Transform to apply to mesh after construction triangle_args : str or None Passed to triangle **kwargs : dict Passed to `triangulate_polygon` Returns ---------- mesh : trimesh.Trimesh Resulting extrusion as watertight body gr'r/)r2r3r]r"r5)rMr6eyeabsfloatdotextrude_triangulation) rlr]r"rmrWr2r3 translationrhs riextrude_polygonrws{:*'R@"/SQ/USS9Sn [RB"U U5(aM@e [R."UVs/sH$n[RD"UUR45PM& snSS9SS2SS24n![U 5n"UU"-n#[R("UU#SS2SS24U#SS2SSS24USS2SS24/5R'S5n$[RF"[U5S- 5U"-V%s/sHn%U$U%-PM n&n%U(a+U(a$[U5S- U"-n'U!SU'n!U&S==U'-ss'OU(a[IU 5RKU RM55n([U(5S:a [OS5e[R"U RQ5S -[RRS9n)[RF"[U 55U)U 'U)U n*U&RU[RV"U*55 U&RUU*U"[U5S- --5 Uc0nSU;aSUS'[R."U&SS9n&[YSU!U&S.UD6n+[R:(a{[[R$"U&55[U!5:XdeU(aU+RZ(deU(a,U(a%U+RZ(deU+R\S:XdeU+$s snfs sn%f)a Extrude a 2D polygon into a 3D mesh along a 3D path. Note that this does *not* handle the case where there is very sharp curvature leading the polygon to intersect the plane of a previous slice, and does *not* scale the polygon along the induced normal to result in a constant cross section. You may want to resample your path with a B-spline, i.e: `trimesh.path.simplify.resample_spline(path, smooth=0.2, count=100)` Parameters ---------- polygon : shapely.geometry.Polygon Profile to sweep along path path : (n, 3) float A path in 3D angles : (n,) float Optional rotation angle relative to prior vertex at each vertex. cap If an open path is passed apply a cap to both ends. connect If a closed path is passed connect the sweep into a single watertight mesh. kwargs : dict Passed to the mesh constructor. **triangulation Passed to `triangulate_polygon`, i.e. `engine='triangle'` Returns ------- mesh : trimesh.Trimesh Geometry of result r%r.zPath must be (n, 3)!Nrr,raxis require_countT)return_inverser+r')r,roro)r4r4?F) translater/z.triangulation added vertices: no logic to cap!processr1r5)/r6r7r8ris_shaper;r:r9zeroslinalgnormr rKrMr r group_rowssortrerDr@onesunitize concatenatemeanvector_to_sphericalrIrArBrEziprSrTrFrtrHrO differencerLNotImplementedErrormaxint64appendrQr rUrV),rlrxryr rzrW triangulationrX vertices_2Dfaces_2Dedges edges_uniquereinverse vertices_tfboundaryvector vector_meannormalrYphi cos_theta sin_thetacos_phisin_phicos_rollsin_rollrr transformsnmatrixcheck vertices_3Dstride boundary_next faces_slicerar3 max_vertex unconsumedmappedcap_zerorhs, ri sweep_polygonrs)V ==RZZ 0D ==w ' '/00 vRZZ8 <q  <<4:: %% %))&133JE366%="&&-yIvvc{BFF3KWGhH HHSZ E 773u: D I ) +i(.B B y 7X#5 #A A i  AJ I !G +h.B B I !I$7($B B i  AJ h  Hx   AJ    ! &gj'* zzVZ0IAv''(96USTUVE;;ua(( ((1 ..5?@Z6 VXX &Z@q!e K [Fv%M// =BQB'q$B$w)?!QR%Q gg 13 #d)a-0H60Q R0Qf[6 !0QE R'$i!mv- !+:.  b Z [++HNN,<= z?Q %&VW W&**,*"((;3v;/v(# RYYx() X#d)a- 889 ~"y NN5q )E  ?Ku ? ?D zz299U#$K(8888 >> !> g>> !>??a' '' KG A Ss 0+\&\abcPUSS2S4USS2S4-USS2S4USS2S4-- $)z4 Numpy 2.0 depreciated cross products of 2D arrays. Nrrr5)rrs ri _cross_2drs9 QT7Qq!tW qAw1a40 00rkr2r3c .[R"U[RS9n[U5n[R"U[RS9n[ R "US5(d [S5e[ R "US5(d [S5e[R"U5[R:a [S5e[[R"XSS2SS 24R6[R"XSS2S S24R65n[U5S :aR[R"UR!55[R"U5:wa[R""U5n[%U5n[R&"US S 9n[(R*"US S 9nXUn [R,"U R/S5S 5R/S5n [R0"U [R,"S US U/[U 5545n [R,"/SQ[U 5S 45n U [R2"[U 55R/S5S-- n U R/S5n [ R4"U5n USS2SSS24UR75U /n XR75SS U/-U /n[ R8"X5upUb[[:R<"X5n[:R>"U5(a*[R@"[R""U55n[CSXS.UD6n[RD(aURFS:deU$)a Extrude a 2D triangulation into a watertight mesh. Parameters ---------- vertices : (n, 2) float 2D vertices faces : (m, 3) int Triangle indexes of vertices height : float Distance to extrude triangulation transform : None or (4, 4) float Transform to apply to mesh after construction **kwargs : dict Passed to Trimesh constructor Returns --------- mesh : trimesh.Trimesh Mesh created from extrusion r%r+zVertices must be (n,2)r.zFaces must be (n,3)zHeight must be nonzero!N r'rrr|r~)r/rr'r'rrr-ror,r4r1r5)$r6r7r8rsrrrr;rrr rKrsubtractrIr9signrrQr rrrrCrDr@rHstack_3Dcopy append_facesrSrT flips_windingascontiguousarrayr rEvolume)r2r3r]r"rWsignsr edges_sortedrrverticalvertical_facesr faces_seq vertices_seqrhs rirurus8}}XRZZ8H 6]F MM%rxx 0E ==7 + +122 == ( (.// vvf~ !233  XCRC!Gn../0"++xcrcSTSUgHXHX?Y2Z E  5zA~"''%**,/2776?B %  5 !E775q)L&&|1ELl+,Hwwx''0!4<I!1!1!3sAv6F!FQL'' @OH&&x;   I & &((5)9:E  pip install manifold3d > pip install triangle > pip install mapbox_earcut Parameters --------- polygon : Shapely.geometry.Polygon Polygon object to be triangulated. triangle_args Passed to triangle.triangulate i.e: 'p', 'pq30', 'pY'="don't insert vert" engine None or 'earcut' will use earcut, 'triangle' will use triangle force_vertices Many operations can't handle new vertices being inserted, so this will attempt to generate a triangulation without new vertices and raise a ValueError if it is unable to do so. Returns -------------- vertices : (n, 2) float Points in space faces : (n, 3) int Index of vertices that make up triangles Nc3<# UHupU(dMUv M g7fNr5).0nameexistss ri &triangulate_polygon..bsC Ftts  rr)triangulate_float64c3b# UH%n[R"UR5v M' g7fr)r6rGcoords)ris rirros"F4Eq**4Es-/r.rrr,c3# UHAn[R"UR5SSUR(aSOS2SSv MC g7f)Nr,r)r6rGris_ccw)rrs rirrs; IZABHHQXX 92q9 :3B ?IZsA A r%r) triangulatepr2rztry running `pip install mapbox-earcut manifold3d`or `triangle`, `mapbox_earcut`, then explicitly pass: `triangulate_polygon(*args, engine="triangle")` to use the non-FSF-approved-license triangle enginez"No available triangulation engine!)next_enginesis_emptyrrr6rGexteriorrextend interiorscumsumr9rRrDastyperrrrr8r_polygon_to_kwargsrFr warningr;)rlrrr0rWr2rvringsr3rrargblobs rirMrM<s%H~CCTJ'**2v H 5HHW--4456FG4E4EFF 848a3q684599X&  0 WW  VBHH  WW   :  HHW%%,, -.Ww7G7G7N7N!TV.W X     IPIZIZ  &&u-44RXX>99U"**5 : (  M )3.z*D,=,D,DRXX,N% ;;s:99 99  D =>> U?i5s"Jc^^^^UR(d [S5eSmUUUU4Sjn[R"5m[R"5m[R"5mU"URS5nUR HnX!"X25- nM [R"T5m[R"T5R5mTRSS:Xa TSS2SS 24mTTS .n[R"T5SSm[T5S:aTUS 'U$![ a [R"S5 Mf=f) z Given a shapely polygon generate the data to pass to the triangle mesh generator Parameters --------- polygon : Shapely.geometry.Polygon Input geometry Returns -------- result : dict Has keys: vertices, segments, holes zinvalid shapely polygon passed!c[R"[R"XU-5RS5S5nURS5SSRS5n[R"X"SSUSS/45nU$)z Given a start index and length, create a series of (n, 2) edges which create a closed traversal. Examples --------- start, length = 0, 3 returns: [(0,1), (1,2), (2,0)] r-r'r,rr+r)r6rCrHrDrR)startlengthtileds ri round_trip&_polygon_to_kwargs..round_tripsw %8@@I1M b!!B'//8 59R=%(1+">?@ rkc>[R"UR5n[R"[R "U5S5nX#nT R U5 TR T"U[U555 [U5nTR [R"UR5R5S5 [U5$)Nr) r6rGrrrrNrr9rrepresentative_point) rrrrecleanedtestfacetsholesrr2s ri add_boundary(_polygon_to_kwargs..add_boundarys (//*--f5a89.  jG 56w RXXd779@@A!DE7|rkrzinvalid interior, continuingrr/Nr')r2segmentsr)is_validr; collectionsdequerr BaseExceptionr rr6rRtolistr:rGr9) rlrrinteriorresultrrrr2s @@@@rirrs0   :;; 2  "H    F    E ))1 -E%%  \(2 2E&yy"H YYv  % % 'F~~aAArrE?" 7F HHUOAB E 5zA~w M)  KK6 7  s D)) E  E extentsboundsc p[R"[SSS[RS9n[R"[SSS[RS9n[R"[SSS[RS9nUbpUcUb [ S5e[R"U[RS9nUR S :wa [ S 5e[R"US S 9nX@-nXBS - nOsUbH[R"U[RS9nUR S :wa [ S5eUS-nX@-nO(US-n[R"S[RS9nSU;a0US'USRSUS.5 [SXEUSS.UD6nUbURU5 U$)aC Return a cuboid. Parameters ------------ extents : (3,) float Edge lengths transform: (4, 4) float Transformation matrix bounds : None or (2, 3) float Corners of AABB, overrides extents and transform. **kwargs: passed to Trimesh to create box Returns ------------ geometry : trimesh.Trimesh Mesh of a cuboid boxr2C)orderr&r3 face_normalsz)`bounds` overrides `extents`/`transform`!r%rpz`bounds` must be (2, 3) float!rr|)r/zExtents must be (3,)!?)rrrmetadata)r:rF)r2r3rrr5) r6rG_datar8rr;r:ptpr7asarrayupdater apply_transform)rr"rrWr2r3rrs rirrs4xxe Z02::NH HHU5\'*#RXX FE88E%L82::VL  G$7HI I& 3 <<6 !=> >&&a(1I  --rzz: ==D 45 5CC**_BJJ?z :'BC  \5 TZ C  I& Jrkc [R"[SS[RS9n[R"[SS[RS9n[ SXUR SS5S.UD6$) z Create an icosahedron, one of the platonic solids which is has 20 faces. Parameters ------------ kwargs : dict Passed through to `Trimesh` constructor. Returns ------------- ico : trimesh.Trimesh Icosahederon centered at the origin. icosahedronr2r%r3rFr2r3rr5)r6rGrr8rr pop)rWr2r3s rirrEsjxxm,Z8 KH HHU=)'2"(( CE   9e0L PV rk subdivisionsr\c V[U5n[U5n[5nSUl[ U5HnUR 5nUR n[R"[R"US-/SQ55nXVRS5- nU=R XqU- RS5-- slM US::axUR n[R"[R"US-/SQ55nXVRS5- nU=R XqU- RS5-- slSU;a.[R"S[SS9 URS5US '[SUR UR S US .URS S5S .UD6$)a Create an icosphere centered at the origin. Parameters ---------- subdivisions : int How many times to subdivide the mesh. Note that the number of faces will grow as function of 4 ** subdivisions, so you probably want to keep this under ~5 radius : float Desired radius of sphere kwargs : dict Passed through to `Trimesh` constructor. Returns --------- ico : trimesh.Trimesh Meshed sphere Fr')rrrr-rcolorz`icosphere(color=...)` is deprecated and will be removed in June 2024: replace with Trimesh constructor kewyword argument `icosphere(face_colors=...)`)category stacklevel face_colorsspherer:r\r)r2r3rrr5)rsr>r _validaterP subdivider2r6sqrtrtrDwarningswarnDeprecationWarningrr r3)rr\rWico_vectorsscalarunits ri icospherer$[sm(6]F|$L -CCM < mmo,, I6700 88AAA !q,, I6700 88AAA &  ?(  !' 7 3}  ii#v6 9e,     rkcountc Uc&[R"SS/[RS9nOJ[R"U[RS9nU[R"US5- nUS==S-ss'[R"S[R USS9n[R "[R"U5[R"U5*45U-n[S UUSUS US .S .UD6$) a Create a UV sphere (latitude + longitude) centered at the origin. Roughly one order of magnitude faster than an icosphere but slightly uglier. Parameters ---------- radius : float Radius of sphere count : (2,) int Number of latitude and longitude lines transform : None or (4, 4) float Transform to apply to mesh after construction kwargs : dict Passed thgrough Returns ---------- mesh : trimesh.Trimesh Mesh of UV sphere with specified parameters r*@r%r'rr4r)numrr)rr!r"rr5) r6rGrmodr?r<r@rBrArj)r\r%r"rWrYrs ri uv_spherer*s8 }"b2bhh/ q!! aA  KKRUUa 1E"&&-"&&-!@AFJJ  q#v6     rkc Uc&[R"SS/[RS9nO#[R"U[RS9nU[R"US5- n[ [ U55n[ [ U55n[R "[R*S- [RS- US5n[R"[R"U5[R"U545U-n[U5S-nUSUSS2S4==US- -ss'XgSSS2S4==US- - ss'[U4USUS XS .S .UD6$) a. Create a mesh of a capsule, or a cylinder with hemispheric ends. Parameters ---------- height : float Center to center distance of two spheres radius : float Radius of the cylinder and hemispheres count : (2,) int Number of sections on latitude and longitude transform : None or (4, 4) float Transform to apply to mesh after construction Returns ---------- capsule : trimesh.Trimesh Capsule geometry with: - cylinder axis is along Z - one hemisphere is centered at the origin - other hemisphere is centered along the Z axis at height Nr*r'r%r'r(rrcapsuler:r]r\)r!r"r) r6rGrr)rrrsr?r<r@rArBr9rj)r]r\r%r"rWrYrhalfs rir,r,s58 }"b2bhh/ RVVE1 E v F v F KK beeck58 r6rtrotation_matrixradiansrr) rFr"rGrHrI axis_originrvz_axisr@y_axisx_axismarkers rir}r}s> $KFF1I + !C' !D( ;/K *&2"''A{Q(?@K )-- :TF!,FMM''A{Q(?@K!!"**S/9=H --)--k:F !,FMM''A{Q(?@K!!"**R.)??Arzz&**Q-83>??AAXX aR!aRL1b1"+qbzQB2;GuF  f 5v>?GGPHyy(+C$DEFNNzZH MM)H%& M5  9DI sE!E('E(trisoriginrc Uc[R"S5nO [XS9n[R"UR S5U5R S5n[R "XD45R S5nSUSSS 2SS2S 4'[R"UR S5[RRU5S 9n[R"/S Q/S Q/S Q/SQ/SQ/SQ/SQ/SQ/5n[R"/SQ[R"UR S55R5n[R"U[U5S45R S[U5S45n [R "U5XS:'U [R""[U 55S-R S5-R S5n [%XjSS9n U $)az Return a mesh consisting of multiple watertight prisms below a list of triangles, truncated by a specified plane. Parameters ------------- triangles : (n, 3, 3) float Triangles in space origin : None or (3,) float Origin of truncation plane normal : None or (3,) float Unit normal vector of truncation plane Returns ----------- mesh : trimesh.Trimesh Triangular mesh Nro)rgrr.)r, )r,r/r/rrr')r)r'rr)r/ro)rrro)rr'rj)r'rr/)ror/r)rjror)r/rjr'r=r,r/)r,rrFr)r6rqrrSrTrDr@rinvrGrtrcrossrIrCr9rQrHr ) rfrgrr" transformedvsr2frmf_seqr3rhs ritruncated_prismsrrks.~FF1I #6A %%dll7&;YGOOPWXK +3 4 < rs33#DDMMM.(- !t/0./,- #"&%) bb F b bw b  " b bP&* + + + "+ +  +b#'! W W W Y W  W  W TN W Wt11W11&* \\ \ \ " \  \B$(  iC=i SMi i  72::  1 12 iXY4Yz$(%)"&> i > "> Y >BW,8G88x!%%). . I . ".  .d!%%) 4 4 4 I 4 " 4  4t#'%) & & &w& " &  &V $"&#'%) 0 0 V 0w0i 0  " 0l $"&%)#' F F F V Fw F  " F i FR)DG*%)(,$($( SS "S9%S&! S &! SnJN9!96>v6F9|#'"&@ @ Y @ Y @L! %) //// /  " /k,.))!,G**1-H .s I==J2$J--J2