+
    ‹°³j©  ã                   ó¶   € ^ RI Ht ^ RIHtHt ^ RIHt ^ RIHtH	t	 ^ RI
HtHtHtHtHtHtHt ^ RIHt ^ RIHtHtHtHtHtHtHtHtHt ]! R4      tR	 tR
 t R# )é    )Úpi)ÚcosÚsin)Ú
CoordSys3D)ÚParametricRegionÚparametric_region_list)ÚPointÚSegmentÚCurveÚEllipseÚLineÚParabolaÚPolygon)Úraises)	ÚaÚbÚrÚtÚxÚyÚzÚthetaÚphiÚCc                  ó.  € \        R4      p V P                  R8X  g   Q hV P                  R8X  g   Q hV P                  / 8X  g   Q hV P                  ^ 8X  g   Q h\        \
        \
        3\
        ^^34      pVP                  \
        \
        38X  g   Q hVP                  \
        38X  g   Q hVP                  ^8X  g   Q h\        \        \        \        3\        \        ^^34      pVP                  \        \        \        38X  g   Q hVP                  \        \        38X  g   Q hVP                  \        R/8X  g   Q hVP                  ^8X  g   Q h\        ^	\        ,          R\        ,          3\        ^ ^3\        R^34      pVP                  ^	\        ,          R\        ,          38X  g   Q hVP                  \        \        38X  g   Q hVP                  \        R	\        R
/8X  g   Q hVP                  ^8X  g   Q h\        \        \        ^,          3\        4      pVP                  \        38X  g   Q hVP                  / 8X  g   Q hVP                  ^ 8X  g   Q h\        \        \        \        4      ,          \        \        \        4      ,          3\        \        ^ ^\        ,          34      pVP                  \        \        \        4      ,          \        \        \        4      ,          38X  g   Q hVP                  ^8X  g   Q h\        \        \        \        4      ,          \        \        \        4      ,          3\        R^3\        ^ \        34      pVP                  \        \        \        4      ,          \        \        \        4      ,          38X  g   Q hVP                  \        \        38X  g   Q hVP                  \        R\        ^ \        3/8X  g   Q hVP                  ^8X  g   Q h\        \        \        \        4      ,          \        \        \        4      ,          3\        ^ ^34      pVP                  \        38X  g   Q hVP                  \        R/8X  g   Q hVP                  ^8X  g   Q h\        \        \        \        4      ,          \        \        \        4      ,          \        3\        ^ ^3\        ^ ^\        ,          3\        ^ ^34      pVP                  \        \        \        38X  g   Q hVP                  ^8X  g   Q h\        \        \        \         4      ,          \        \        4      ,          \        \        \         4      ,          \        \        4      ,          \        \        \         4      ,          3\        \        ^ ^\        ,          3\         ^ \        34      p	V	P                  \        \        \         4      ,          \        \        4      ,          \        \        \         4      ,          \        \        4      ,          \        \        \         4      ,          38X  g   Q hV	P                  \        \        \         38X  g   Q hV	P                  ^8X  g   Q h\#        \$        R 4       \#        \$        R 4       R# )é   c                  ó‚   € \        \        \        ^,          ,          ^\        ,          \        ,          3\        R34      # )é   éþÿÿÿ)r   r   r   © ó    Úi/home/luca/screen-checking/.venv/lib/python3.14/site-packages/sympy/vector/tests/test_parametricregion.pyÚ<lambda>Ú'test_ParametricRegion.<locals>.<lambda>E   s$   € Ô/´´1°aµ4µ¸¼1½¼Q½°Ä!ÀRÀÔIr!   c                  ót   € \        \        \        3\        ^,          \        \        4      3\        ^^^34      # )r   )r   r   r   r   r    r!   r"   r#   r$   F   s'   € Ô/´´A°¼¸A½¼sÄ1»v¸ÌÈAÈqÐRSÈÔUr!   N)r   é   r    )é   r   iðÿÿÿéÿÿÿÿ)r   r   )r(   é   r   )r   r   )r   é   )r   Ú
definitionÚ
parametersÚlimitsÚ
dimensionsr   r   r   r   r   r   r   r   r   r   r   r   r   Ú
ValueError)
ÚpointÚline_xyÚline_yzÚp1Úp2ÚcircleÚhalfdiscÚellipseÚcylinderÚspheres
             r"   Útest_ParametricRegionr:      sË  € ä˜VÓ$€EØ×Ñ˜vÔ%Ð%Ð%Ø×Ñ˜rÔ!Ð!Ð!Ø�<‰<˜2ÔÐÐØ×Ñ˜qÔ Ð Ð ô ¤¤1˜v¬¨1¨a yÓ1€GØ×Ñ¤1¤a &Ô(Ð(Ð(Ø×Ñ¤! Ô%Ð%Ð%Ø×Ñ Ô"Ð"Ð"ô ¤¤!¤A˜w¬¬A¨q°!¨9Ó5€GØ×Ñ¤!¤A¤a Ô(Ð(Ð(Ø×Ñ¤!¤Q Ô'Ð'Ð'Ø�>‰>œa ˜[Ô(Ð(Ð(Ø×Ñ Ô"Ð"Ð"ä	˜1œQ�3 ¤A¥˜,¬¨A¨q¨	´A°r¸1°:Ó	>€BØ�=‰=˜Qœq�S #¤a¥%˜LÔ(Ð(Ð(Ø�=‰=œQ¤˜FÔ"Ð"Ð"Ø�9‰9œ˜F¤A wÐ/Ô/Ð/Ð/Ø�=‰=˜AÔÐÐä	œ1œa �d˜)¤QÓ	'€BØ�=‰=œQ˜DÔ Ð Ð Ø�9‰9˜Œ?Ðˆ?Ø�=‰=˜AÔÐÐäœq¤¤U£�|¬Q¬s´5«z­\Ð:¼AÄÀqÈ!ÌBÍ$Ð?OÓP€FØ×Ñ¤¤3¤u£:¥¬q´´U³­|Ð <Ô<Ð<Ð<Ø×Ñ Ô!Ð!Ð!ä¤¤3¤u£:¥¬q´´U³­|Ð <¼qÀ"Àa¸jÌ5ÐRSÔUWÈ.ÓY€HØ×Ñ¤1¤S¬£Z¥<´´3´u³:µÐ">Ô>Ð>Ð>Ø×Ñ¤1¤e *Ô,Ð,Ð,Ø�?‰?œq '¬5°1´b°'Ð:Ô:Ð:Ð:Ø×Ñ !Ô#Ð#Ð#ä¤¤#¤a£&¥¬!¬C´«F­(Ð3´a¸¸A°YÓ?€GØ×Ñ¤! Ô%Ð%Ð%Ø�>‰>œa ˜[Ô(Ð(Ð(Ø×Ñ Ô"Ð"Ð"ä¤¤3¤u£:¥¬q´´U³­|¼QÐ ?Ä!ÀQÈÀÌUÐTUÐWXÔY[ÕW[ÐL\Ô_`ÐbcÐefÐ^gÓh€HØ×Ñ¤1¤e¬Q -Ô/Ð/Ð/Ø×Ñ !Ô#Ð#Ð#äœq¤¤S£�z¬#¬e«*Õ4´Q´s¼3³xµZÄÄEÃ
Õ5JÌAÌcÔRUËhÍJÐWÜ !¤E¨1¨a´­dÐ#3´c¸1¼b°\óC€Fà×Ñ¤¤3¤s£8¥¬C´«JÕ!6´q¼¼S»µzÄ#ÄeÃ*Õ7LÌaÔPSÔTWÓPXÍjÐ YÔYÐYÐYØ×Ñ¤¤E¬3 Ô/Ð/Ð/Ø×Ñ Ô!Ð!Ð!ä
Œ:ÑIÔJÜ
Œ:ÑUÖVr!   c            
      óæ  a€ \        R^4      p \        V 4      \        R4      .8X  g   Q h\        \        ^^4      ^^4      p\        V\        4      \        ^\        \        4      ,          ^,           ^\        \        4      ,          ^,           3\        ^ ^\        ,          34      .8X  g   Q h\        \        \        ^,          3\        ^^34      p\        V4      \        \        \        ^,          3\        ^^34      .8X  g   Q h\        \        ^^R4      \        ^ ^^4      4      p\        V\        4      \        ^^\        ,          ,
          ^^	\        ,          ,
          ^\        ,          ^,
          3\        ^ ^34      .8X  g   Q h\        \        ^ ^ 4      R4      p\        V\        4      \        \        ^ 3\        ^ ^34      .8X  g   Q h\        \        ^^^4      \        ^^^4      4      p\        V\        4      \        ^^^\        ,          ^,           3\        ^ ^34      .8X  g   Q h\        \        ^^84      \        ^^84      4      p\        V4      \        R4      .8X  g   Q h\        RR	R
4      p\        V\        4      \        ^^\        ,          ,
          ^\        ,          ^,           3\        ^ ^34      \        ^\        ,          ^,
          ^^\        ,          ,
          3\        ^ ^34      \        ^\        ,
          ^\        ,
          3\        ^ ^34      .8X  g   Q h\        \        ^ ^ 4      \        \        ^^4      \        ^^4      4      4      o\        \        V3R l4       R# )r)   c                  ó   <€ \        S 4      # )N)r   )r3   s   €r"   r#   Ú-test_parametric_region_list.<locals>.<lambda>a   s   ø€ Ô5°bÔ9r!   Néûÿÿÿ)r>   é   iúÿÿÿ)r'   r   )r?   é8   )r'   r   )éýÿÿÿr*   )r   r&   )r	   r   r   r   r   r   r   r   r   r
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Œ:Ô9Ö:r!   N)!Úsympy.core.numbersr   Ú(sympy.functions.elementary.trigonometricr   r   Úsympy.vector.coordsysrectr   Úsympy.vector.parametricregionr   r   Úsympy.geometryr	   r
   r   r   r   r   r   Úsympy.testing.pytestr   Ú	sympy.abcr   r   r   r   r   r   r   r   r   r   r:   rI   r    r!   r"   Ú<module>rQ      s=   ðÝ !ß ?Ý 0ß Rß R× RÑ RÝ 'ß 5× 5Õ 5ñ ˆsƒO€ò:Wôz;r!   