o
    GZh                     @   s   d dl mZ d dlmZmZ d dlmZ d dlmZm	Z	 d dl
mZmZmZmZmZmZmZ d dlmZ d dlmZmZmZmZmZmZmZmZmZ edZd	d
 Zdd Z dS )    )pi)cossin)
CoordSys3D)ParametricRegionparametric_region_list)PointSegmentCurveEllipseLineParabolaPolygon)raises)	abrtxyzthetaphiCc            
      C   s  t d} | jdksJ | jdksJ | ji ksJ | jdks J t ttftddf}|jttfks3J |jtfks;J |jdksBJ t tttfttddf}|jtttfksXJ |jttfksaJ |jtdiksjJ |jdksqJ t dt d	t	 ftddft	d
df}|jdt d	t	 fksJ |jtt	fksJ |jtdt	diksJ |jdksJ t ttd ft}|jtfksJ |ji ksJ |jdksJ t t
tt t
tt ft
tddt f}|jt
tt t
tt fksJ |jdksJ t t
tt t
tt ft
ddftdtf}|jt
tt t
tt fksJ |jt
tfks)J |jt
dtdtfiks7J |jdks?J t ttt t	tt ftddf}|jtfksZJ |jtdiksdJ |jdkslJ t t
tt t
tt tft
ddftddt ftddf}|jt
ttfksJ |jdksJ t t
tt tt t
tt tt t
tt ft
tddt ftdtf}	|	jt
tt tt t
tt tt t
tt fksJ |	jt
ttfksJ |	jdksJ ttdd  ttdd  d S )N)       r            )r   r   	   i)r   r   )r!   r   r   )r"   r      )r   r#   r   c                   S   s"   t ttd  dt t ftdfS )Nr   r"   )r   r   r   r   r   r   W/var/www/auris/lib/python3.10/site-packages/sympy/vector/tests/test_parametricregion.py<lambda>E   s   " z'test_ParametricRegion.<locals>.<lambda>c                   S   s$   t ttftd ttftdddfS )Nr   r      )r   r   r   r   r   r   r   r$   r%   F   s   $ )r   Z
definition
parametersZlimits
dimensionsr   r   r   r   r   r   r   r   r   r   r   r   r   
ValueError)
pointZline_xyZline_yzp1p2circleZhalfdiscZellipseZcylinderZspherer   r   r$   test_ParametricRegion   s\   $*",$$:2>r.   c                     sf  t dd} t| tdgksJ tt dddd}t|ttdtt d dtt d ftddt fgks9J tttd ftd	df}t|tttd ftd	dfgksXJ t	t dd
dt ddd	}t|ttddt  d
dt  d
t d ftddfgksJ t	t ddd}t|tttdftddfgksJ t	t dddt ddd	}t|ttdddt d ftddfgksJ t	t ddt dd}t|tdgksJ t
ddd}t|ttddt  d	t d ftddftd	t d ddt  ftddftdt dt ftddfgksJ tt ddtt d	dt dd tt fdd d S )N   )r/   r0   r   r#   r&   r   r   r      ir    r   )r   r   8   )r0   r2   )r   r   )r#   )r   r   r      c                      s   t  S )N)r   r   r+   r   r$   r%   a   s    z-test_parametric_region_list.<locals>.<lambda>)r   r   r   r   r   r   r   r   r
   r	   r   r   r   r   r)   )r*   ecss1s2Zs3Zpolyr   r5   r$   test_parametric_region_listI   s$   
@&>$.r"r;   N)!Zsympy.core.numbersr   Z(sympy.functions.elementary.trigonometricr   r   Zsympy.vector.coordsysrectr   Zsympy.vector.parametricregionr   r   Zsympy.geometryr   r	   r
   r   r   r   r   Zsympy.testing.pytestr   Z	sympy.abcr   r   r   r   r   r   r   r   r   r   r.   r;   r   r   r   r$   <module>   s    $,=