
    sg                        d dl Z d dlmZ d dlZd dlmZ d dlmZ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 d dlmZmZ d d	lmZ d d
lmZmZ d dlmZ d dlmZ d dlm Z  d dl!m"Z" d dl#m$Z$ d dl%m&Z& d dl'm(Z( d dl)m*Z*m+Z+m,Z,m-Z-m.Z.m/Z/ d dl)m0Z0m1Z1m2Z2m3Z3m4Z4 d dl5m6Z6m7Z7m8Z8m9Z9m:Z: d dl;m<Z<m=Z=m>Z>m?Z? d dl@mAZB d dlCmDZD  e0         e(ddeEf      ZF G d de*      ZG G d de*      ZHd ZIej                  j                  d d!d"g      d#        ZLej                  j                  d d!d"g      d$        ZMej                  j                  d d!d"g      d%        ZNej                  j                  d d!g      d&        ZOej                  j                  d d!d"g      d'        ZPej                  j                  d d!d"g      d(        ZQej                  j                  d d!d"g      d)        ZRej                  j                  d d!d"g      d*        ZSej                  j                  d d!d"g      d+        ZTd, ZUej                  j                  d d!d"g      d-        ZVej                  j                  d d!d"g      d.        ZWej                  j                  d d!d"g      d/        ZXej                  j                  d d!d"g      d0        ZYd1 ZZej                  j                  d d!d"g      d2        Z[ej                  j                  d d!d"g      d3        Z\ej                  j                  d d!d"g      d4        Z]ej                  j                  d d!d"g      d5        Z^ej                  j                  d d!d"g      d6        Z_d7 Z`d8 Zaej                  j                  d d!d"g      d9        Zbej                  j                  d d!d"g      d:        Zcd; Zdd< Zed= Zfd> Zgd? Zhd@ ZidA Zjy)B    N)TemporaryDirectory)Sum)Ioopi)Ne)Symbolsymbols)LambertWexp	exp_polarlog)	real_rootsqrt)	Piecewise)cossin)Min)meijerg)Integral)And)S)sympify)import_module)Plotplotplot_parametricplot3d_parametric_lineplot3dplot3d_parametric_surface)
unset_showplot_contourPlotGridMatplotlibBackendTextBackend)LineOver1DRangeSeriesParametric2DLineSeriesParametric3DLineSeriesParametricSurfaceSeriesSurfaceOver2DRangeSeries)skipwarnsraiseswarns_deprecated_sympy)lambdify)ignore_warnings
matplotlibz1.1.0)min_module_versioncatchc                       e Zd ZdZd Zy)DummyBackendNotOkz Used to verify if users can create their own backends.
    This backend is meant to raise NotImplementedError for methods `show`,
    `save`, `close`.
    c                 ,    t         j                  |       S Nobject__new__clsargskwargss      Q/var/www/html/venv/lib/python3.12/site-packages/sympy/plotting/tests/test_plot.pyr:   zDummyBackendNotOk.__new__+       ~~c""    N)__name__
__module____qualname____doc__r:    rA   r?   r5   r5   &   s    #rA   r5   c                   (    e Zd ZdZd Zd Zd Zd Zy)DummyBackendOkzi Used to verify if users can create their own backends.
    This backend is meant to pass all tests.
    c                 ,    t         j                  |       S r7   r8   r;   s      r?   r:   zDummyBackendOk.__new__3   r@   rA   c                      y r7   rF   selfs    r?   showzDummyBackendOk.show6       rA   c                      y r7   rF   rK   s    r?   savezDummyBackendOk.save9   rN   rA   c                      y r7   rF   rK   s    r?   closezDummyBackendOk.close<   rN   rA   N)rB   rC   rD   rE   r:   rM   rP   rR   rF   rA   r?   rH   rH   /   s    #rA   rH   c                  j    t        d      } t        | | ddfd       t        | dz  dz   | ddfd       y )Nxr      text)backend      )r	   r   )rT   s    r?   test_basic_plotting_backendrZ   ?   s7    sAQ1Iv&AAq!9f-rA   adaptiveTFc                 
   t         st        d       t        d      t        d      t        d      5 }t	        dd| d	      }t	        t              z  t              z  d
| d      }|j                  |       d |d   _        d|d   _        d|_	        d|_
        d|d   _        d|_        d|_        d|_        d}|j                  t         j"                  j%                  ||             |j&                  j)                          |j                  t	        dz   | d             |j+                  t	        dz   dz  | d      d          d}|j                  t         j"                  j%                  ||             t	        dz  ddf| d      |d<   d}|j                  t         j"                  j%                  ||             |j&                  j)                          t	        t              dt,        z  dt,        z  f| d      }d}|j                  t         j"                  j%                  ||             |j&                  j)                          t	        t              | d      }d}|j                  t         j"                  j%                  ||             |j&                  j)                          t	        dz  dd ffdz  d!dff| d      }d"}|j                  t         j"                  j%                  ||             |j&                  j)                          t/        t0        fd#       t	        t3        ddkD  fd$      d%df| d      }d&}|j                  t         j"                  j%                  ||             |j&                  j)                          t	        t3        dk  fdz  df      d!df| d      }d'}|j                  t         j"                  j%                  ||             |j&                  j)                          t	        | d      }t	        d| d      }|j                  |       d(}|j                  t         j"                  j%                  ||             |j&                  j)                          t3        d%d%k  ft5        d%k  dk        fdz  t5        dk  dk        fdz  dk\  f      }t	        |d!df| d      }d)}|j                  t         j"                  j%                  ||             |j&                  j)                          d d d        y # 1 sw Y   y xY w)*N"Matplotlib not the default backendrT   ysympy_prefixTf1
   legendlabelr[   nf2)rf   r[   rg   c                     | S r7   rF   as    r?   <lambda>z&test_plot_and_save_1.<locals>.<lambda>S       A rA   r   brY   z	Big titlez
the x axiszstraight linerY   rY   )i   z!test_basic_options_and_colors.pngr[   rg   rU   rX   ztest_plot_extend_append.pngztest_plot_setitem.png   ztest_line_explicit.pngztest_line_default_range.png   ztest_line_multiple_range.pngc                      t               S r7   )r   rT   r^   s   r?   rl   z&test_plot_and_save_1.<locals>.<lambda>x   s    41: rA   r   Tztest_plot_piecewise.pngztest_plot_piecewise_2.pngztest_horizontal_line.pngztest_plot_piecewise_3.png)r1   r+   r	   r   r   r   r   extend
line_colortitlexlabelrf   re   aspect_ratioxlimrP   ospathjoin_backendrR   appendr   r-   
ValueErrorr   r   )	r[   tmpdirpfilenamep1p2frT   r^   s	          @@r?   test_plot_and_save_1r   D   sM   12sAsA	8	, G 4th"E3q61SV84(bI	%!!$!
6	rww||FH-.	

	a!eh"56	a!eQTH;A>?0	rww||FH-.AqD1b!*x2>!*	rww||FH-.	

Q!RUAbD)HC+	rww||FH-.	

Q(b10	rww||FH-.	

!Q$B
#adQAJ%7(bQ1	rww||FH-.	

z-. Aq1u:y1Ar1:TVW,	rww||FH-.	

Aq1u:1d|4q"aj8WYZ.	rww||FH-.	

 !h"-!h"-
		"-	rww||FH-.	

 r1r6lQB!GQU(;$<T3qAvq1u%&AqAv8QAJR8.	rww||FH-.	

OG G Gs   S:T99Uc                 4   t         st        d       t        d      }t        d      }t        d      }t        d      5 }t	        t        |      t        |      | d      }d	}|j                  t        j                  j                  ||             |j                  j                          t	        t        |      t        |      |d
dfdd| d      }d}|j                  t        j                  j                  ||             |j                  j                          t	        t        |      t        |      f|t        |      f| d      }d}|j                  t        j                  j                  ||             |j                  j                          t	        t        |      t        |      |ddff|t        |      |d
dff| d      }d}|j                  t        j                  j                  ||             |j                  j                          t	        |t        |      d| d      }d}|j                  t        j                  j                  ||             |j                  j                          t	        t        |      t        |      dd      }d}|j                  t        j                  j                  ||             |j                  j                          t        t        |      t        |      |dd| d      }d}|j                  t        j                  j                  ||             |j                  j                          t        t        |      t        |      ||d
dfft        |      t        |      ||ddff| d      }d}|j                  t        j                  j                  ||             |j                  j                          t        t        |      t        |      |d|       }d}|j                  t        j                  j                  ||             |j                  j                          t        ||z  | d      }d }|j                  t        j                  j                  ||             |j                  j                          t        | |z  ||z  |d
df| d      }d!}|j                  t        j                  j                  ||             |j                  j                          t        ||z  |ddf|ddff| |z  |ddf|ddff| d      }d"}|j                  t        j                  j                  ||             |j                  j                          t        t        ||z         t        ||z
        ||z
  | d      }d#}|j                  t        j                  j                  ||             |j                  j                          t        |t        |      z  |t        |      z  ||d
df|d
dfft        ||z         t        ||z
        ||z
  |d
df|d
dff| d      }d#}|j                  t        j                  j                  ||             |j                  j                          t!        t        |      t        |      z  |d
df|d
df| d      }d$}|j                  t        j                  j                  ||             |j                  j                          t!        |d%z  |d%z  z   |dz  |dz  z   |d
df|d
df| d      }d$}|j                  t        j                  j                  ||             |j                  j                          t!        |d%z  |d%z  z   |d
df|d
dff|dz  |dz  z   |ddf|ddff| d      }d$}|j                  t        j                  j                  ||             |j                  j                          d d d        y # 1 sw Y   y xY w)&Nr]   rT   r^   zr_   r`   rc   rq   ztest_parametric.pngrt   ru   Tparametric_plotrd   ztest_parametric_range.pngztest_parametric_multiple.pngrv   rU   z#test_parametric_multiple_ranges.png   )depthr[   rg   ztest_recursion_depth.pngFi  ztest_adaptive.png3d_parametric_plotztest_3d_line.pngztest_3d_line_multiple.png   )rg   r[   ztest_3d_line_points.pngztest_surface.pngztest_surface_multiple.pngz test_surface_multiple_ranges.pngztest_parametric_surface.pngztest_contour_plot.pngrX   )r1   r+   r	   r   r   r   r   rP   r   r   r   r   rR   r   r   r    r"   r[   rT   r^   r   r   r   r   s          r?   test_plot_and_save_2r      s   12sAsAsA	8	, z CFCFXD(	rww||FH-.	

 FCFQAJt;L% /	rww||FH-.	

 SVSV,q#a&k%1	rww||FH-.	

 VSVaQZ(1c!fq"aj*A% 9	rww||FH-.	

 As1vR%-	rww||FH-.	

 CFCFUcB&	rww||FH-.	

 #FCFAd2F% &	rww||FH-.	

"VSVQB
+c!fc!fa!R-L% /	rww||FH-.	

"3q63q61,	rww||FH-.	

 1q58r2%	rww||FH-.	

 A261q51b!*x2F.	rww||FH-.	

 UQAJB
+qb1fq"aj1b!*-M% 6	rww||FH-.	

 &c!a%j#a!e*a!e%0	rww||FH-.	

 &s1vXqQxQAJB
;QZQUQUQAJB
C% 1	rww||FH-.	

 QAB
QAJ%*	rww||FH-.	

 A1adQTkAr1:2qz%*	rww||FH-.	

 TAqD[1b!*q"aj1TAqD[1b!*q"aj1% +	rww||FH-.	

uz z zs   _``c           
         t         st        d       t        d      }t        d      }t        d      }t        d      5 }t	        t        |      | d      }d	 |d
   _        d}|j                  t        j                  j                  ||             d |d
   _        d}|j                  t        j                  j                  ||             |j                  j                          t	        |t        |      z  |t        |      z  |d
df| d      }d |d
   _        d}|j                  t        j                  j                  ||             d |d
   _        d}|j                  t        j                  j                  ||             d |d
   _        d}|j                  t        j                  j                  ||             |j                  j                          t        t        |      dt        |      z  t        d|z        z  z   t        |      dt        |      z  t        d|z        z  z   dt        d|z        z  |d
dt        z  f| d      }t!        |t        d|z              |d
   _        d}|j                  t        j                  j                  ||             d |d
   _        d}|j                  t        j                  j                  ||             d |d
   _        d}|j                  t        j                  j                  ||             |j                  j                          t#        t        |      |z  |d
dt        z  f|ddf| d      }d |d
   _        d }|j                  t        j                  j                  ||             d! |d
   _        d"}|j                  t        j                  j                  ||             d# |d
   _        d$}|j                  t        j                  j                  ||             t!        |||ft'        |d%t        z  z
  dz  |dz  z               |d
   _        d&}|j                  t        j                  j                  ||             |j                  j                          t)        |t        d|z        z  |t        d|z        z  ||d'd(f|d'd(f| d      }d) |d
   _        d*}|j                  t        j                  j                  ||             d+ |d
   _        d,}|j                  t        j                  j                  ||             t!        |||ft'        |dz  |dz  z   |dz  z               |d
   _        d-}|j                  t        j                  j                  ||             |j                  j                          d d d        y # 1 sw Y   y xY w).Nr]   rT   r^   r   r_   r`   rc   rq   c                     | S r7   rF   rj   s    r?   rl   z&test_plot_and_save_3.<locals>.<lambda>+  rm   rA   r   ztest_colors_line_arity1.pngc                     |S r7   rF   rk   rn   s     r?   rl   z&test_plot_and_save_3.<locals>.<lambda>/      q rA   ztest_colors_line_arity2.pngc                     | S r7   rF   rj   s    r?   rl   z&test_plot_and_save_3.<locals>.<lambda>5  rm   rA   z!test_colors_param_line_arity1.pngc                     | S r7   rF   r   s     r?   rl   z&test_plot_and_save_3.<locals>.<lambda>9  r   rA   c                     |S r7   rF   r   s     r?   rl   z&test_plot_and_save_3.<locals>.<lambda>=  r   rA   z"test_colors_param_line_arity2b.pngg?   rX   rs   ztest_colors_3d_line_arity1.pngc                     |S r7   rF   r   s     r?   rl   z&test_plot_and_save_3.<locals>.<lambda>J  r   rA   ztest_colors_3d_line_arity2.pngc                     |S r7   rF   rk   rn   cs      r?   rl   z&test_plot_and_save_3.<locals>.<lambda>M      ! rA   ztest_colors_3d_line_arity3.png   rt   ru   c                     | S r7   rF   rj   s    r?   rl   z&test_plot_and_save_3.<locals>.<lambda>S  r   rA   ztest_colors_surface_arity1.pngc                     |S r7   rF   r   s     r?   rl   z&test_plot_and_save_3.<locals>.<lambda>V  r   rA   ztest_colors_surface_arity2.pngc                     |S r7   rF   r   s      r?   rl   z&test_plot_and_save_3.<locals>.<lambda>Y  s    Q rA   ztest_colors_surface_arity3a.pngrU   ztest_colors_surface_arity3b.pngrz   rY   c                     | S r7   rF   rj   s    r?   rl   z&test_plot_and_save_3.<locals>.<lambda>c  r   rA   z!test_colors_param_surf_arity1.pngc                     | |z  S r7   rF   r   s     r?   rl   z&test_plot_and_save_3.<locals>.<lambda>f  s
    !A# rA   z!test_colors_param_surf_arity2.pngz!test_colors_param_surf_arity3.png)r1   r+   r	   r   r   r   r|   rP   r   r   r   r   rR   r   r   r   	lambdify_r   surface_colorr   r    r   s          r?   test_plot_and_save_3r     s   12sAsAsA	8	, G
 Q(b1%!0	rww||FH-.(!0	rww||FH-.	

3q61SV8aBZ(bI%!6	rww||FH-.(!6	rww||FH-.(!7	rww||FH-.	

"FSQZAaC((FSQZAaC((AaCL1R4L8r	3
 $As1Q3x0!3	rww||FH-.(!3	rww||FH-.+!3	rww||FH-.	

3q6!8aAbD\Ar1:BO(!3	rww||FH-.+!3	rww||FH-..!4	rww||FH-.&1ay$AbD1}q!t7K2LM!4	rww||FH-.	

%a#a!e*na#a!e*naB
QAJRA(!6	rww||FH-.-!6	rww||FH-.&1ay$q!tad{QT7I2JK!6	rww||FH-.	

OG G Gs   VW		Wc           
         t         st        d       t        d      }t        d      }t        d      5 }t	        t        t        |      dz  dz   t        |dz  dz         z        |d|f      }t        ||dd	f| d
d      }d}|j                  t        j                  j                  ||             |j                  j                          d d d        y # 1 sw Y   y xY w)Nr]   rT   r^   r_   r`   rX   rY   r   ru   rc   T)r[   rg   force_real_evalztest_advanced_integral.png)r1   r+   r	   r   r   r   r   r   r   rP   r   r   r   r   rR   )r[   rT   r^   r   ir   r   s          r?   test_plot_and_save_4r   o  s    12sAsA 
8	, S#a&!)a-adQh781a)DQ1IBM/	rww||FH-.	

  s   BCCc           	         t         st        d       t        d      }t        d      }t        d      5 }t	        d||z  z  |dt
        f      }t        ||ddf| d	      }d
}|j                  t        j                  j                  ||             |j                  j                          t        t	        d|z  |d|f      |ddfd| d      }d|d   _        d|d   _        d}t        t               5  |j                  t        j                  j                  ||             d d d        |j                  j                          d d d        y # 1 sw Y   ,xY w# 1 sw Y   y xY w)Nr]   rT   r^   r_   r`   rY   rX   rc   rq   ztest_advanced_inf_sum.pngFrM   r[   rg   Tr   ztest_advanced_fin_sum.png)r1   r+   r	   r   r   r   r   rP   r   r   r   r   rR   only_integersstepsr0   UserWarning)r[   rT   r^   r   sr   r   s          r?   test_plot_and_save_5r     s8   12sAsA	8	, !Q$Ar
#Q2JR8.	rww||FH-.	

QqS1a)$q!Rju%!!!
. [) 	3FF277<<12	3 	


/ (	3 	3) s$   B?E30E#"EE	EE#c           	         t         st        d       t        d      }t        d      5 }d}t	        t        |      t        t        |      z  z         }|j                  t        j                  j                  ||             t        t              5  t	        t        t        |                   }|j                  t        j                  j                  ||             d d d        t	        t        |            }|j                  t        j                  j                  ||             t	        t        t        |                  }|j                  t        j                  j                  ||             d|dz  z  t!        t         t"        z        z  dz  }t%        dd	|      }d|dz  z  t!        t        t"        z        z  dz  }t%        dd	|      }||z   d
t"        z  z  }	t'        t(        dd      5  t	        |	|ddf| d      }|j                  t        j                  j                  ||             d d d        d d d        y # 1 sw Y   lxY w# 1 sw Y   xY w# 1 sw Y   y xY w)Nr]   rT   r_   r`   ztest.pngru   rX   ))      ?rF   ))ru   r   r   rF   0   z&The evaluation with NumPy/SciPy failedFmatchtest_stacklevelgư>{Gz?rc   rq   )r1   r+   r	   r   r   r   r   r   rP   r   r   r   r0   RuntimeWarningr   r   r   r   r   r,   r   )
r[   rT   r   r   r   x1m1x2m2exprs
             r?   test_plot_and_save_6r     s   12sA	8	, 3
 Q!CF("#	rww||FH-.^, 	3T$r(^$AFF277<<12	3 !	rww||FH-.hqk"#	rww||FH-. AX	1"R%((*^%8"=q!tVi"o%a'\#4b9RBG$:!
 	3
 TAtT?XDAFF277<<12	313 3	3 	3	3 	313 3s?   A(I"AI	DI"6AI8I"	I	I"I	I""I+c           	         t         st        d       t        d      }t        d      }t        d      5 }t	        || d      }t        t        |      t        |      f|t        |      fd| d	      }t        t        |      t        |      | dd
      }t        t        |      t        |      |d| d	      }t        dd||||      }d}	|j                  t        j                  j                  ||	             |j                  j                          t        dd||||      }d}	|j                  t        j                  j                  ||	             |j                  j                          t	        t        |      |t          t         fd| d	      }
d |
d   _        t	        t%        d|dkD  fd      |ddfd| d	      }t'        |dz  |dz  z   |ddf|ddff|dz  |dz  z   |ddf|ddffd| d	      }t        dd|
||      }d}	|j                  t        j                  j                  ||	             |j                  j                          d d d        y # 1 sw Y   y xY w)Nr]   rT   r^   r_   r`   rc   rq   Fr   r[   rg   rM   rX   ztest_grid1.pngrU   rs   ztest_grid2.pngc                     | S r7   rF   rj   s    r?   rl   z(test_plotgrid_and_save.<locals>.<lambda>      Q rA   r   rY   ry   rz   rt   ru   rv   ztest_grid3.png)r1   r+   r	   r   r   r   r   r   r   r#   rP   r   r   r   r   rR   r   r|   r   r"   )r[   rT   r^   r   r   r   p3p4r   r   p5p6p7s                r?   test_plotgrid_and_saver     s.   12sAsA	8	,  !h"-c!fc!f-3q6{%FCFX%A#CFCFAE% Q2r2r*#	rww||FH-.	

 Q2r2r*#	rww||FH-.	

#a&!bS"EHK&1)QAJ	2QAJU%TAqD[1b!*q"aj1TAqD[1b!*q"aj1%
 Q2r2&#	rww||FH-.	

A     s   HIIc                    t         st        d       t        d      }t        || d      }t        |dz  | d      }t        |dz   | d       |j	                  |d          t        |j                        dk(  sJ t        t              5  |j	                  |       d d d        t        t              5  |j	                  |j                         d d d        y # 1 sw Y   =xY w# 1 sw Y   y xY w)Nr]   rT   rc   rq   rX   r   )	r1   r+   r	   r   r   len_seriesr-   	TypeError)r[   rT   r   r   s       r?   test_append_issue_7140r     s    12sA	a(b	)B	adX	,BQR( IIberzz?a			 
		" 
		 
		"**   s   
C3C$C!$C-c           
          t         st        d       t        d      }t        |      t	        t
        j                   t
        j                  fd d      }|j                  j                          t	        dt
        j                   t
        j                  f d      }|j                  j                          t	        d dt        d      t        d      f      }|j                  j                          t	         dt        d      t        d      fd	      }|j                  j                          t        t         fd
       t        t         fd       t        t         fd       t        t         fd       y )Nr]   rT   rz   rY   rc   )r   ylimr[   rg   z-3.14z3.14)r   r[   rg   r   r[   rg   r   r   c                  F    t         dt        j                   dfd      S Nrc   rY   r   r   r   r   ImaginaryUnitr[   eqns   r?   rl   z"test_issue_15265.<locals>.<lambda>$  s#    S8r??"A&W6 rA   c                  D    t         dddt        j                  f      S Nrc   r   rz   r   r   r   s   r?   rl   z"test_issue_15265.<locals>.<lambda>(  s     S8rAOO46 rA   c                  D    t         dt        j                  dfd      S r   )r   r   NegativeInfinityr   s   r?   rl   z"test_issue_15265.<locals>.<lambda>,  s"    S8r$$a(w8 rA   c                  D    t         dddt        j                  f      S r   )r   r   Infinityr   s   r?   rl   z"test_issue_15265.<locals>.<lambda>0  s     S8rAJJ/1 rA   )r1   r+   r	   r   r   r   Pir   rR   r   r-   r   )r[   rT   r   r   s   `  @r?   test_issue_15265r     s*   12sA
a&CSqtt}7XLAJJSwqtteQTT]XLAJJSwRg0	2AJJS8rg0w	@AJJ
:	67 :	67 :	89 :	12rA   c                  v     t         st        d       t                t                t	        t
         fd       y )Nr]   c                  $     j                         S r7   rM   r   s   r?   rl   z!test_empty_Plot.<locals>.<lambda>=  s     rA   )r1   r+   r   r   r-   NotImplementedErrorr   s   @r?   test_empty_Plotr   4  s+    12 	F 	A
 01rA   c                    t         st        d       t        d      }|dz  d|dz  z  z
  |dz  z   }t        ||ddf| dd	
      }t	        t
              5  t        |d   j                         d         dk\  sJ 	 d d d        y # 1 sw Y   y xY w)Nr]   rT   g333333?rc   rU   rX   r   Fr   r   )r1   r+   r	   r   r0   r   r   get_datar[   rT   r   r   s       r?   test_issue_17405r   @  s    12sA	3AqD1a4AQCx2EBA
 
	( -1Q4==?1%&",,,- - -s   %BBc                     t         st        d       t        d      }t        ||ddf| ddd      }t	        |d	   j                         d	         dk\  sJ |d	   j                  d
k(  sJ |d	   j                  dk(  sJ y )Nr]   rT   gMbP?d   r   r   F)r[   rg   xscalerM   r   g      Y@)r1   r+   r	   r   r   r   endstartr[   rT   r   s      r?   test_logplot_PR_16796r   P  s    12sAQD#R5	"A qt}}q!"b(((Q488uQ4::rA   c                     t         st        d       t        d      }t        t	        |      d| d      }t        |d   j                         d         dk\  sJ y )Nr]   rT   Fr   r   r   )r1   r+   r	   r   r   r   r   r   s      r?   test_issue_16572r   _  sO    12sAXa[ux2>A qt}}q!"b(((rA   c                 v   t         st        d       t        dd      }t        t         t        t        t        z  |z        z  |z  t        t        t         t        z  |z        z  |z  z   t        |d      fdt        z  df      }t        |d| d	      }t        |d   j                         d         dk\  sJ y )
Nr]   kT)integerr   rX   Fr   r   )r1   r+   r	   r   r   r   r   r   r   r   r   )r[   r   r   r   s       r?   test_issue_11865r   k  s    12sD!AA2c!B$q&k>!#aQBrE!GnQ&661aAAbD$<PAQUX4A qt}}q!"b(((rA   c            	      "   t         st        d       t        d      } t        t	        t        | | dz
  z        d      dd      }t        t        dd	      5  t        |d
   j                         d
         dk\  sJ 	 d d d        y # 1 sw Y   y xY w)Nr]   rT   rX   rU   FT)rM   r[   zinvalid value encountered inr   r   r   )
r1   r+   r	   r   r   r   r,   r   r   r   rT   r   s     r?   test_issue_11461r  y  s    12sAYAqsGq)EA	,
 - 1Q4==?1%&",,,- - -s   %BBc           	         t         st        d       t        d      }t        t	        |      t        |      |ddt        z  fdd| d      }|j                  dk(  sJ t        |d   j                         d         dk\  sJ y )	Nr]   rT   r   rX   ro   Fr   )r   rM   r[   rg   )
r1   r+   r	   r   r   r   r   r   r   r   r   s      r?   test_issue_11764r    sy    12sAAAAq2vR	AA>>V### qt}}q!"b(((rA   c                    t         st        d       t        d      }t        t	        |      dd| d      }|j
                  t        k(  sJ t        |d   j                         d         dk\  sJ t        t	        |      dd| d      }|j
                  t        k(  sJ t        |d   j                         d         dk\  sJ t        t	        |      d	d| d      }|j
                  t        k(  sJ t        |d   j                         d         dk\  sJ t        t	        |      d| d
      }|j
                  t        k(  sJ t        |d   j                         d         dk\  sJ y )Nr]   rT   r1   Fr   )rW   rM   r[   rg   r   rV   defaultr   )
r1   r+   r	   r   r   rW   r$   r   r   r%   )r[   rT   pmptpdr   s         r?   test_issue_13516r
    sC   12sA	c!flR	PB::****r!u~~"#r)))	c!ff58r	JB::$$$r!u~~"#r)))	c!fieh"	MB::****r!u~~"#r)))SV%(b9A99))))qt}}q!"b(((rA   c                    t         st        d       t        d      }t        ||dz  |ddf| d      }|j                  }|j
                  j                         \  }}t        |dz         dk  sJ t        |dz
        dk  sJ |j
                  j                         \  }}t        |dz         dk  sJ t        |dz
        dk  sJ y )Nr]   rT   rX   r   rc   rq   r   )	r1   r+   r	   r   r   axget_xlimabsget_ylim)r[   rT   r   rW   xminxmaxyminymaxs           r?   test_plot_limitsr    s    12sAQ1q#rlX<AjjG$$&JD$tby>Atby>A$$&JD$tby>Btcz?RrA   c                 J   t         st        d       t        d      }dt        |      z  dt	        |      z  d|z  |ddff}t	        |      t        |      ||ddff}t        ||| d      }|j                  }|j                  j                         \  }}t        |dz         dk  sJ t        |dz
        dk  sJ |j                  j                         \  }}	t        |dz         dk  sJ t        |	dz
        dk  sJ |j                  j                         \  }
}t        |
d	z         dk  sJ t        |d	z
        dk  sJ t        ||| d      }|j                  }|j                  j                         \  }}t        |dz         dk  sJ t        |dz
        dk  sJ |j                  j                         \  }}	t        |dz         dk  sJ t        |	dz
        dk  sJ |j                  j                         \  }
}t        |
d	z         dk  sJ t        |d	z
        dk  sJ y )
Nr]   rT   rX   rt   ru   <   rq   r   rc   )r1   r+   r	   r   r   r   r   r  r  r  r  get_zlim)r[   rT   v1v2r   rW   r  r  r  r  zminzmaxs               r?   "test_plot3d_parametric_line_limitsr    s   12sA
CF(Ac!fHacAr1:	.B
a&#a&!aQZ	(Br2B?AjjG$$&JD$tax=4tax=4$$&JD$tax=4tax=4$$&JD$tby>D   tby>D   r2B?AjjG$$&JD$tax=4tax=4$$&JD$tax=4tax=4$$&JD$tby>D   tby>D   rA   c           	      ~   t         st        d       t        d      }t        t	        |      dd| d      }|j
                  j                  j                         }|d   dk(  r|d	   d
k(  sJ t        t	        |      dd| d      }|j
                  j                  j                         }|d   dk(  r|d	   dk(  sJ t        dd	||d| d      }|j
                  j                  j                         }|d   dk(  r|d	   dk(  sJ t        t              5  t        t	        |      dd       d d d        y # 1 sw Y   y xY w)Nr]   rT   r1   )   rs   rc   )rW   sizer[   rg   r   r  rY   rs   )ru   rc   ru   rX   )r   rX   )r  r[   rg   r   )rz   rU   )rW   r  )r1   r+   r	   r   r   r   figget_size_inchesr#   r-   r   )r[   rT   r   s1r   s2r   s3s           r?   test_plot_sizer%    s"   12sA	c!flR
!B		(	(	*BqEQJRUaZ((	c!flR
!B		(	(	*BqEQJRUb[))	!QBVR
!B		(	(	*BqEQJRUaZ((	
	 9SV\89 9 9s   D33D<c                     t         st        d       t        d      } t        t	        |       t
        d       t        t	        |       t        d      }|j                  t        k(  sJ t        |d   j                         d         dk\  sJ t        t	        |       t        d      }|j                  t        k(  sJ t        |d   j                         d         dk\  sJ t        t	        |       t        d      }|j                  t        k(  sJ t        |d   j                         d         dk\  sJ t        t              5  |j                          d d d        t        t              5  |j                  d       d d d        t        t              5  |j                   j#                          d d d        y # 1 sw Y   exY w# 1 sw Y   HxY w# 1 sw Y   y xY w)Nr]   rT   F)rW   rM   r   r   z	test/path)r1   r+   r	   r   r   r   r$   rW   r   r   rH   r5   r-   r   rM   rP   r   rR   )rT   r   r   r   s       r?   test_issue_20113r'    s   12sA 	QE*	c!f/e	<B::****r!u~~"#r)))	c!fn5	9B::'''r!u~~"#r))) 
c!f/e	<B::****r!u~~"#r)))	#	$ 
		#	$ 
	#	$ 
 	   s$   F8+GG8GGGc            	          t        d      } t        d      }t        t        |       d        t        t        |       d       t        t        |       d       t        t        |       t	        |       d        t        t        |       t	        |       d       t        t        |       t	        |       d       t        t        |       t	        |       | d        t        t        |       t	        |       | d       t        t        |       t	        |       | d       t        t        | |z         t	        | |z
        | |z
  | d	d
f|d	d
fd        t        t        | |z         t	        | |z
        | |z
  | d	d
f|d	d
fd       t        t        | |z         t	        | |z
        | |z
  | d	d
f|d	d
fd       t        | |z  | d	d
f|d	d
fd        t        | |z  | d	d
f|d	d
fd       t        | |z  | d	d
f|d	d
fd       y )NrT   r^   c                     | S r7   rF   rj   s    r?   rl   z&test_custom_coloring.<locals>.<lambda>      a rA   )r|   rY   rc                     | S r7   rF   rj   s    r?   rl   z&test_custom_coloring.<locals>.<lambda>  s     rA   c                     | S r7   rF   rj   s    r?   rl   z&test_custom_coloring.<locals>.<lambda>!  s    1 rA   rt   ru   c                     | dz  |dz  z   S NrX   rF   r   s     r?   rl   z&test_custom_coloring.<locals>.<lambda>&      q!tad{ rA   )r   c                     | dz  |dz  z   S r/  rF   r   s     r?   rl   z&test_custom_coloring.<locals>.<lambda>.  r0  rA   )r	   r   r   r   r   r   r    r   rx   s     r?   test_custom_coloringr2    s   sAsAQK(QAQC CFCF{;CFCFq1CFCFs33q63q61E3q63q61;3q63q61=c!a%j#a!e*a!eAJB
24 c!a%j#a!e*a!eAJB
 c!a%j#a!e*a!eAJB
 1Q3B
QAJ24
1Q3B
QAJa8
1Q3B
QAJc:rA   c                     t         st        d       t        d      }t        |      }t	        ||ddfd| d      }t               5  |d   j                          d d d        y # 1 sw Y   y xY w)Nr]   rT   r   rc   Fr   r   )r1   r+   r	   r   r   r.   get_segmentsr   s       r?   test_deprecated_get_segmentsr5  3  sc    12sAAAQC58rBA		! 	!  s   A""A+c           
         t         st        d       t        d      }t        |ddgddggdddgdd	d
gg dg ddd	dddg| d      }t	        |j
                  j                  j                        dk(  sJ t	        |j
                  j                  j                        dk(  sJ t	        |j
                  j                  j                        dk(  sJ t	        |j
                  j                  j                        dk(  sJ y )Nr]   rT   r   rY   *noner=   marker	linestyletestr   r   rV   xyr   rY   rX   rU   rT   y1ru   r?  widthheightrc   )markersannotationsfill
rectanglesr[   rg   rX   )r1   r+   r	   r   r   r   r  collectionspatcheslinestextsr   s      r?   test_generic_data_seriesrN  ?  s     12sAQa&1a&)SvNO$F34|4!A;<R	!A qzz}}(()Q...qzz}}$$%***qzz}}""#q(((qzz}}""#q(((rA   c                     t         st        d       t        d      } t        t	        |       | ddfd      }t               5  ddgddggd	d
dg|_        d d d        t        |j                        dk(  sJ t               5  dddg|_	        d d d        t        |j                        dk(  sJ t               5  g dg dd|_
        d d d        t        |j                        dk(  sJ t               5  ddddg|_        d d d        t        |j                        dk(  sJ y # 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   uxY w# 1 sw Y   HxY w)Nr]   rT   r   rc   Fr   r   rY   r7  r8  r9  rX   r<  r=  r>  rU   r@  rA  rs   ru   rC  )r1   r+   r	   r   r   r.   rF  r   r   rG  rH  rI  r  s     r?   3test_deprecated_markers_annotations_rectangles_fillrP  R  sE   12sASVab\.A		! T !fq!f-6RS	Tqyy>Q		! 9"(789qyy>Q		! 9#<89qyy>Q		! A%Q?@Aqyy>QT T9 99 9A As0   D# D/8D;3E#D,/D8;EEc            
         t         st        d       t        d      } t        d      }t        t	        |       dd      }t        |d   j                               dk(  sJ t        |d   j                               dk(  sJ t        t        |       t	        |       | ddfdd      }t        |d   j                               dk(  sJ t        |d   j                               d	k(  sJ t        t        |       t	        |       | | ddfdd      }t        |d   j                               d	k(  sJ t        |d   j                               d
k(  sJ t        t        | dz  |dz  z         | t         t        f|t         t        fd      }t        |d   j                               d	k(  sJ t        |d   j                               d	k(  sJ t        t        | dz  |dz  z         | t         t        f|t         t        fd      }t        |d   j                               d	k(  sJ t        |d   j                               d	k(  sJ t        | t        |      z  | t	        |      z  | t        d
|z        z  dz  | dt        f|ddt        z  fd      }t        |d   j                               d	k(  sJ t        |d   j                               dk(  sJ y )Nr]   rT   r^   Fru   rq   r   rX   rU   rs   )rg   )r1   r+   r	   r   r   r   
get_pointsr   r   r   r   r   r   
get_meshesr"   r    rT   r^   r   s      r?   test_back_compatibilityrU  f  s   12sAsASVeq)Aqt !Q&&&qt}}1$$$AAAq	EQGAqt !Q&&&qt}}1$$$s1vs1vq1a)!	Aqt !Q&&&qt}}1$$$s1a4!Q$;!bS"B3|qAAqt !Q&&&qt}}1$$$SA1%B3|a"b\QGAqt !Q&&&qt}}1$$$!!c!f*a#a&j!c!a%j.1:L	
Ar
Q1R4LA	'Aqt !Q&&&qt}}1$$$rA   c                  
   t         st        d       t        d      \  } }t        | dz         }t	        |d   t
              sJ |d   j                  | dz   k(  sJ |d   j                  | ddfgk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ t        | dz   d	      }t	        |d   t
              sJ |d   j                  | dz   k(  sJ |d   j                  | ddfgk(  sJ |d   j                  d      d	k(  sJ |d   j                  i k(  sJ t        | dz   | d
df      }|d   j                  | d
dfgk(  sJ t        | dz   | d
dfdddi      }|d   j                  d      dk(  sJ |d   j                  ddik(  sJ t        | dz   | dz        }t	        |d   t
              sJ |d   j                  | dz   k(  sJ |d   j                  | ddfgk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ t	        |d   t
              sJ |d   j                  | dz  k(  sJ |d   j                  | ddfgk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ t        | dz   | dz  | ddf      }|d   j                  | ddfgk(  sJ |d   j                  | ddfgk(  sJ t        | dz   | dz  | ddfddi      }|d   j                  | ddfgk(  sJ |d   j                  | ddfgk(  sJ |d   j                  ddik(  sJ |d   j                  ddik(  sJ t        | dz   | ddff| dz  | d
dfdddif      }t	        |d   t
              sJ |d   j                  | dz   k(  sJ |d   j                  | ddfgk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ t	        |d   t
              sJ |d   j                  | dz  k(  sJ |d   j                  | d
dfgk(  sJ |d   j                  d      dk(  sJ |d   j                  ddik(  sJ d }t        d       }t	        |d   t
              sJ t        |d   j                        sJ |d   j                  d   dd  dk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ t        |dd      }|d   j                  d   dd  dk(  sJ |d   j                  d      dk(  sJ y )Nr]   x, yrY   r   r   rc   Fzx + 1rf   rr   rX   r<  colorr+  zx**2ru   c                     | S r7   rF   ts    r?   rl   z%test_plot_arguments.<locals>.<lambda>  s    ! rA   c                     | S r7   rF   rZ  s    r?   rl   z%test_plot_arguments.<locals>.<lambda>  s    q rA   r   rc    )r[  rt   r   )rt   r   )r1   r+   r
   r   
isinstancer&   r   ranges	get_labelrendering_kwcallablerT   r^   r   r   s       r?   test_plot_argumentsre    s   126?DAq 	QUAad1222Q499AQ4;;AsB<.(((Q4>>% G+++Q4""" 	QUGAad1222Q499AQ4;;AsB<.(((Q4>>% G+++Q4""" 	QUQAJAQ4;;Ar1:,&&& 	QUQAJ#7AQ4>>% F***Q4#... 	QUAqDAad1222Q499AQ4;;AsB<.(((Q4>>% G+++Q4"""ad1222Q4991Q4;;AsB<.(((Q4>>% F***Q4""" 	QUAqD1a)$AQ4;;Aq!9+%%%Q4;;Aq!9+%%% 	QUAqD1a)gs^4AQ4;;Aq!9+%%%Q4;;Aq!9+%%%Q4#...Q4#... 		
QAq		
A2qz6GS>2	4A ad1222Q499AQ4;;Aq!9+%%%Q4>>% G+++Q4"""ad1222Q4991Q4;;Ar1:,&&&Q4>>% F***Q4#... 	A[Aad1222AaDIIQ4;;q>!"***Q4>>% B&&&Q4""" 	Qf%AQ4;;q>!"(((Q4>>% F***rA   c            	         t         st        d       t        d      \  } }t        | dz   |       }t	        |d   t
              sJ |d   j                  | dz   | fk(  sJ |d   j                  | ddfgk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ t        | dz   | | d	d
fdddi      }|d   j                  | dz   | fk(  sJ |d   j                  | d	d
fgk(  sJ |d   j                  d      dk(  sJ |d   j                  ddik(  sJ t        | dz   | f| d	d
fd      }|d   j                  | dz   | fk(  sJ |d   j                  | d	d
fgk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ t        | dz   | f| d
z  | dz   f      }|d   j                  | dz   | fk(  sJ |d   j                  | ddfgk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ |d   j                  | d
z  | dz   fk(  sJ |d   j                  | ddfgk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ t        | dz   | f|d
z  |dz   df      }|d   j                  | dz   | fk(  sJ |d   j                  | ddfgk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ |d   j                  |d
z  |dz   fk(  sJ |d   j                  |ddfgk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ t        | dz   | f| d
z  | dz   f| d	d
f      }|d   j                  | dz   | fk(  sJ |d   j                  | d	d
fgk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ |d   j                  | d
z  | dz   fk(  sJ |d   j                  | d	d
fgk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ t        | dz   | | d	d
fdf| d
z  | dz   | ddfdddif      }|d   j                  | dz   | fk(  sJ |d   j                  | d	d
fgk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ |d   j                  | d
z  | dz   fk(  sJ |d   j                  | ddfgk(  sJ |d   j                  d      dk(  sJ |d   j                  ddik(  sJ d }d }t        ||      }t        d |d   j                  D              sJ |d   j                  d   dd  dk(  sJ d|d   j                  d      v sJ |d   j                  i k(  sJ t        ||dd      }t        d |d   j                  D              sJ |d   j                  d   dd  dk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ y )Nr]   rW  rY   r   r   rc   FrT   rr   rX   r<  cmapRedstest1rv   rU   test2c                     | S r7   rF   rZ  s    r?   rl   z0test_plot_parametric_arguments.<locals>.<lambda>%      1 rA   c                     d| z  S r/  rF   rZ  s    r?   rl   z0test_plot_parametric_arguments.<locals>.<lambda>&  
    1q5 rA   c              3   2   K   | ]  }t        |        y wr7   rc  .0r[  s     r?   	<genexpr>z1test_plot_parametric_arguments.<locals>.<genexpr>(       .qx{.   r]  Dummyr[  r   rX   c              3   2   K   | ]  }t        |        y wr7   rp  rq  s     r?   rs  z1test_plot_parametric_arguments.<locals>.<genexpr>/  rt  ru  r   rX   )r1   r+   r
   r   r_  r'   r   r`  ra  rb  all)rT   r^   r   fxfys        r?   test_plot_parametric_argumentsr}    s$   126?DAq 	Aq!Aad2333Q499Q
"""Q4;;AsB<.(((Q4>>% C'''Q4""" 	Aq1b!*f		AQ499Q
"""Q4;;Ar1:,&&&Q4>>% F***Q4 0000Q
QAJ7AQ499Q
"""Q4;;Ar1:,&&&Q4>>% F***Q4""" 	Q
Q!VQUO4AQ499Q
"""Q4;;AsB<.(((Q4>>% C'''Q4"""Q499aQ'''Q4;;AsB<.(((Q4>>% C'''Q4""" 	Q
Q!VQUF$;<AQ499Q
"""Q4;;AsB<.(((Q4>>% C'''Q4"""Q499aQ'''Q4;;AsB<.(((Q4>>% F***Q4""" 	Q
Q!VQUOaQZ@AQ499Q
"""Q4;;Ar1:,&&&Q4>>% C'''Q4"""Q499aQ'''Q4;;Ar1:,&&&Q4>>% C'''Q4""" 		
QAr1:w'	
aQB
Gff-=>	@A Q499Q
"""Q4;;Ar1:,&&&Q4>>% G+++Q4"""Q499aQ'''Q4;;Ar1:,&&&Q4>>% G+++Q4 0000 
B	BBA.AaDII....Q4;;q>!"***adnnU++++Q4""" 	BV4A.AaDII....Q4;;q>!"'''Q4>>% F***Q4"""rA   c            
         t         st        d       t        d      \  } }t        | dz   | t	        |             }t        |d   t              sJ |d   j                  | dz   | t	        |       fk(  sJ |d   j                  | ddfgk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ t        | dz   | t	        |       | d	d
fdddi      }t        |d   t              sJ |d   j                  | dz   | t	        |       fk(  sJ |d   j                  | d	d
fgk(  sJ |d   j                  d      dk(  sJ |d   j                  ddik(  sJ t        | dz   | t	        |       f| d	d
fd      }|d   j                  | dz   | t	        |       fk(  sJ |d   j                  | d	d
fgk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ t        | dz   | t	        |       f| d
z  dt        |       ddif      }|d   j                  | dz   | t	        |       fk(  sJ |d   j                  | ddfgk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ |d   j                  | d
z  dt        |       fk(  sJ |d   j                  | ddfgk(  sJ |d   j                  d      dk(  sJ |d   j                  ddik(  sJ t        | dz   | t	        |       f|d
z  dt        |      f      }|d   j                  | dz   | t	        |       fk(  sJ |d   j                  | ddfgk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ |d   j                  |d
z  dt        |      fk(  sJ |d   j                  |ddfgk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ t        | dz   | t	        |       f| d
z  dt        |       | d	d
fdddif      }|d   j                  | dz   | t	        |       fk(  sJ |d   j                  | ddfgk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ |d   j                  | d
z  dt        |       fk(  sJ |d   j                  | d	d
fgk(  sJ |d   j                  d      dk(  sJ |d   j                  ddik(  sJ d }d }d }t        |||      }t        d |d   j                  D              sJ |d   j                  d   dd  dk(  sJ d|d   j                  d      v sJ |d   j                  i k(  sJ t        |||dd      }t        d |d   j                  D              sJ |d   j                  d   dd  dk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ y )Nr]   rW  rY   r   r   rc   FrT   rr   rX   r<  rg  rh  r^   c                     | S r7   rF   rZ  s    r?   rl   z7test_plot3d_parametric_line_arguments.<locals>.<lambda>x  rl  rA   c                     d| z  S r/  rF   rZ  s    r?   rl   z7test_plot3d_parametric_line_arguments.<locals>.<lambda>y  rn  rA   c                     d| z  S )NrU   rF   rZ  s    r?   rl   z7test_plot3d_parametric_line_arguments.<locals>.<lambda>z  rn  rA   c              3   2   K   | ]  }t        |        y wr7   rp  rq  s     r?   rs  z8test_plot3d_parametric_line_arguments.<locals>.<genexpr>|  rt  ru  r]  rv  rw  c              3   2   K   | ]  }t        |        y wr7   rp  rq  s     r?   rs  z8test_plot3d_parametric_line_arguments.<locals>.<genexpr>  rt  ru  ry  )r1   r+   r
   r   r   r_  r(   r   r`  ra  rb  r   rz  )rT   r^   r   r{  r|  fzs         r?   %test_plot3d_parametric_line_argumentsr  5  s   126?DAq 	q1uaQ0Aad2333Q499Q3q6****Q4;;AsB<.(((Q4>>% C'''Q4""" 	q1uaQ!R 	"Aad2333Q499Q3q6****Q4;;Ar1:,&&&Q4>>% F***Q4 0000Aq#a&1Ar1:vFAQ499Q3q6****Q4;;Ar1:,&&&Q4>>% F***Q4""" 		
Q3q6Q!VQA0@A	CAQ499Q3q6****Q4;;AsB<.(((Q4>>% C'''Q4"""Q499aCF++++Q4;;AsB<.(((Q4>>% C'''Q4 0000 	Aq#a&1AFAs1v3FGAQ499Q3q6****Q4;;AsB<.(((Q4>>% C'''Q4"""Q499aCF++++Q4;;AsB<.(((Q4>>% C'''Q4""" 		
Q3q6	
aCFQAJ0@A	CA Q499Q3q6****Q4;;AsB<.(((Q4>>% C'''Q4"""Q499aCF++++Q4;;Ar1:,&&&Q4>>% F***Q4 0000 
B	B	Br2r*A.AaDII....Q4;;q>!"***adnnU++++Q4""" 	r2r;?A.AaDII....Q4;;q>!"'''Q4>>% F***Q4"""rA   c            	      f   t         st        d       t        d      \  } }t        | |z         }t	        |d   t
              sJ |d   j                  | |z   k(  sJ |d   j                  d   | ddfk(  s|ddfsJ |d   j                  d   | ddfk(  s|ddfsJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ t        | |z   | d	d
fdddi      }t	        |d   t
              sJ |d   j                  | |z   k(  sJ |d   j                  d   | d	d
fk(  sJ |d   j                  d   |ddfk(  sJ |d   j                  d      dk(  sJ |d   j                  ddik(  sJ t        | |z   | d	d
f|ddfd      }|d   j                  d   | d	d
fk(  sJ |d   j                  d   |ddfk(  sJ t        | |z   | |z        }|d   j                  | |z   k(  sJ |d   j                  d   | ddfk(  s|ddfsJ |d   j                  d   | ddfk(  s|ddfsJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ |d   j                  | |z  k(  sJ |d   j                  d   | ddfk(  s|ddfsJ |d   j                  d   | ddfk(  s|ddfsJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ t        | |z   | |z  | d	d
f|ddf      }|d   j                  | |z   k(  sJ |d   j                  d   | d	d
fk(  sJ |d   j                  d   |ddfk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ |d   j                  | |z  k(  sJ |d   j                  d   | d	d
fk(  sJ |d   j                  d   |ddfk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ t        | |z   | d	d
f|ddff| |z  | ddf|ddfdddif      }|d   j                  | |z   k(  sJ |d   j                  d   | d	d
fk(  sJ |d   j                  d   |ddfk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ |d   j                  | |z  k(  sJ |d   j                  d   | ddfk(  sJ |d   j                  d   |ddfk(  sJ |d   j                  d      dk(  sJ |d   j                  ddik(  sJ d }t        |      }t        |d   j                        sJ |d   j                  d   dd  dk(  sJ |d   j                  d   dd  dk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ t        |ddd      }t        |d   j                        sJ |d   j                  d   dd  dk(  sJ |d   j                  d   dd  dk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ t        t        | |      | ddf|ddf      }t	        |d   t
              sJ |d   j                  t        | |      k(  sJ |d   j                  d   | ddfk(  sJ |d   j                  d   |ddfk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ y )Nr]   rW  r   r   rc   rY   Fzx + yrr   rX   r<  rg  rh  rs   zx*yrv   rU   ir   c                     | |z   S r7   rF   rx   s     r?   rl   z4test_plot3d_plot_contour_arguments.<locals>.<lambda>  s
    QU rA   r]  r^  )rk   rt   rU   )rn   rr   rY   )rt   rU   )rr   rY   z	Min(x, y))r1   r+   r
   r   r_  r*   r   r`  ra  rb  rc  r   rd  s       r?   "test_plot3d_plot_contour_argumentsr    s   126?DAq 	q1uAad4555Q499AQ4;;q>ab\)ab\99Q4;;q>ab\)ab\99Q4>>% G+++Q4""" 	q1uq"aj&66*:;Aad4555Q499AQ4;;q>aQZ'''Q4;;q>ab\)))Q4>>% F***Q4 0000q1uq"aj1b!*f5AQ4;;q>aQZ'''Q4;;q>aQZ''' 	q1ua!eAQ499AQ4;;q>ab\)ab\99Q4;;q>ab\)ab\99Q4>>% G+++Q4"""Q499AQ4;;q>ab\)ab\99Q4;;q>ab\)ab\99Q4>>% E)))Q4""" 	q1ua!eaQZ!R4AQ499AQ4;;q>aQZ'''Q4;;q>aQZ'''Q4>>% G+++Q4"""Q499AQ4;;q>aQZ'''Q4;;q>aQZ'''Q4>>% E)))Q4""" 		
QB
QAJ'	
QB
QAJ0@A	CA Q499AQ4;;q>aQZ'''Q4;;q>aQZ'''Q4>>% G+++Q4"""Q499AQ4;;q>aQZ'''Q4;;q>aQZ'''Q4>>% F***Q4 0000 	Aq	AAaDIIQ4;;q>!"***Q4;;q>!"***Q4>>% B&&&Q4""" 	q,f5AAaDIIQ4;;q>!"(((Q4;;q>!"(((Q4>>% F***Q4""" 	s1ay1a*q!Rj1Aad4555Q499Aq	!!!Q4;;q>aBZ'''Q4;;q>aBZ'''Q4>>% K///Q4"""rA   c                  $   t         st        d       t        d      \  } }t        | |z   t	        | |z         t        | |z               }t        |d   t              sJ |d   j                  | |z   t	        | |z         t        | |z         fk(  sJ |d   j                  d   | ddfk(  s|ddfsJ |d   j                  d   | ddfk(  s|ddfsJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ t        | |z   t	        | |z         t        | |z         | d	d
f|ddfdddi      }t        |d   t              sJ |d   j                  | |z   t	        | |z         t        | |z         fk(  sJ |d   j                  d   | d	d
fk(  sJ |d   j                  d   |ddfk(  sJ |d   j                  d      dk(  sJ |d   j                  ddik(  sJ t        | |z   t	        | |z         t        | |z         f| |z
  t	        | |z
        t        | |z
        df      }|d   j                  | |z   t	        | |z         t        | |z         fk(  sJ |d   j                  d   | ddfk(  s|ddfsJ |d   j                  d   | ddfk(  s|ddfsJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ |d   j                  | |z
  t	        | |z
        t        | |z
        fk(  sJ |d   j                  d   | ddfk(  s|ddfsJ |d   j                  d   | ddfk(  s|ddfsJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ t        | |z   t	        | |z         t        | |z         | d	d
fdf| |z
  t	        | |z
        t        | |z
        | ddf|ddfdddif      }|d   j                  | |z   t	        | |z         t        | |z         fk(  sJ |d   j                  d   | d	d
fk(  sJ |d   j                  d   |ddfk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ |d   j                  | |z
  t	        | |z
        t        | |z
        fk(  sJ |d   j                  d   | ddfk(  sJ |d   j                  d   |ddfk(  sJ |d   j                  d      dk(  sJ |d   j                  ddik(  sJ t        d d d dd      }t        d |d   j                  D              sJ |d   j                  d   dd  dk(  sJ |d   j                  d   dd  dk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ t        d d d ddfd d  d! d"d#df      }t        d$ |d   j                  D              sJ |d   j                  d   dd  dk(  sJ |d   j                  d   dd  dk(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ t        d% |d   j                  D              sJ |d   j                  d   dd  d&k(  sJ |d   j                  d   dd  d'k(  sJ |d   j                  d      dk(  sJ |d   j                  i k(  sJ y )(Nr]   rW  r   r   rc   rY   Fz(x + y, cos(x + y), sin(x + y))rr   rX   r  rs   r<  rg  rh  rv   rU   rj  c                     | S r7   rF   uvs     r?   rl   z:test_plot3d_parametric_surface_arguments.<locals>.<lambda>'  s    Q rA   c                     |S r7   rF   r  s     r?   rl   z:test_plot3d_parametric_surface_arguments.<locals>.<lambda>'  r   rA   c                     | |z   S r7   rF   r  s     r?   rl   z:test_plot3d_parametric_surface_arguments.<locals>.<lambda>'  s
    QU rA   )r  r   rX   )r  rv   rs   c              3   2   K   | ]  }t        |        y wr7   rp  rq  s     r?   rs  z;test_plot3d_parametric_surface_arguments.<locals>.<genexpr>)  rt  ru  ry  )rv   rs   r^  c                     | S r7   rF   r  s     r?   rl   z:test_plot3d_parametric_surface_arguments.<locals>.<lambda>2      a rA   c                     |S r7   rF   r  s     r?   rl   z:test_plot3d_parametric_surface_arguments.<locals>.<lambda>2  r*  rA   c                     | |z   S r7   rF   r  s     r?   rl   z:test_plot3d_parametric_surface_arguments.<locals>.<lambda>2  
    a!e rA   c                     |S r7   rF   r  s     r?   rl   z:test_plot3d_parametric_surface_arguments.<locals>.<lambda>4  r  rA   c                     | S r7   rF   r  s     r?   rl   z:test_plot3d_parametric_surface_arguments.<locals>.<lambda>4  r*  rA   c                     | |z
  S r7   rF   r  s     r?   rl   z:test_plot3d_parametric_surface_arguments.<locals>.<lambda>4  r  rA   )r  rr   rU   )r  r  ru   c              3   2   K   | ]  }t        |        y wr7   rp  rq  s     r?   rs  z;test_plot3d_parametric_surface_arguments.<locals>.<genexpr>6  rt  ru  c              3   2   K   | ]  }t        |        y wr7   rp  rq  s     r?   rs  z;test_plot3d_parametric_surface_arguments.<locals>.<genexpr>;  rt  ru  )rr   rU   )r  ru   )r1   r+   r
   r    r   r   r_  r)   r   r`  ra  rb  rz  rT  s      r?   (test_plot3d_parametric_surface_argumentsr    s{   126?DAq 	"!a%QUSQZ@Aad3444Q499QAE
CAJ7777Q4;;q>ab\)ab\99Q4;;q>ab\)ab\99Q4>>% $EEEEQ4""" 	"!a%QUSQZ	
B
QAJ(8	:Aad3444Q499QAE
CAJ7777Q4;;q>aQZ'''Q4;;q>aQZ'''Q4>>% F***Q4 0000 	"	
QAE
CAJ'	
QAE
CAJ/	1A Q499QAE
CAJ7777Q4;;q>ab\)ab\99Q4;;q>ab\)ab\99Q4>>% $EEEEQ4"""Q499QAE
CAJ7777Q4;;q>ab\)ab\99Q4;;q>ab\)ab\99Q4>>% F***Q4""" 	"	
QAE
CAJB
F;	
QAE
CAJB
QAJff%	'	(A Q499QAE
CAJ7777Q4;;q>aQZ'''Q4;;q>ab\)))Q4>>% F***Q4"""Q499QAE
CAJ7777Q4;;q>aQZ'''Q4;;q>aQZ'''Q4>>% G+++Q4 0000 	"(:\	#A .AaDII....Q4;;q>!"(((Q4;;q>!"(((Q4>>% B&&&Q4""" 	"	);\	#	);lF	,	-A
 .AaDII....Q4;;q>!"'''Q4;;q>!"(((Q4>>% B&&&Q4""".AaDII....Q4;;q>!"(((Q4;;q>!"(((Q4>>% F***Q4"""rA   )kr   tempfiler   pytestsympy.concrete.summationsr   sympy.core.numbersr   r   r   sympy.core.relationalr   sympy.core.symbolr	   r
   &sympy.functions.elementary.exponentialr   r   r   r   (sympy.functions.elementary.miscellaneousr   r   $sympy.functions.elementary.piecewiser   (sympy.functions.elementary.trigonometricr   r   r   sympy.functions.special.hyperr   sympy.integrals.integralsr   sympy.logic.boolalgr   sympy.core.singletonr   sympy.core.sympifyr   sympy.externalr   sympy.plotting.plotr   r   r   r   r   r    r!   r"   r#   r$   r%   sympy.plotting.seriesr&   r'   r(   r)   r*   sympy.testing.pytestr+   r,   r-   r.   sympy.utilitiesr/   r   sympy.utilities.exceptionsr0   RuntimeErrorr1   r5   rH   rZ   markparametrizer   r   r   r   r   r   r   r   r   r   r   r   r   r   r  r  r
  r  r  r%  r'  r2  r5  rN  rP  rU  re  r}  r  r  r  rF   rA   r?   <module>r     s(   	 '  ) * * $ - R R F : ? 8 1 . # " & ( H H7 7 M L 1 6 
 W\OE
# #T  .
 dE]3N 4Nb dE]3B 4BJ dE]3O 4Od dV, -& dE]3 4B dE]3$3 4$3N dE]3' 4'T dE]3 4( dE]3#2 4#2L	2 dE]3- 4- dE]3 4 dE]3) 4) dE]3
) 4
)-" dE]3
) 4
) dE]3) 4). dE]3  4   dE]3 ! 4 !F dE]39 49.6;6 dE]3 4 dE]3) 4)$(%8T+nY#xQ#h_#DT#rA   