
    k h                     |   d dl Z d dlZd dlZd dlZd dlmZmZmZ d dl	m
Z
mZmZmZmZmZmZmZmZmZ d dlmZmZmZmZ  ej2                  ddgddgd	d
gddgddgddgddgddgg      Z ej2                  d d gd dgddgdd gddgddgddgddgg      Zd Zd  Zd! Zd" Zd# Z d$ Z!d% Z"d& Z#d' Z$d( Z%d) Z&d* Z'd+ Z(d, Z)ejT                  jW                  d-d.d/g      d0        Z,d1 Z-d2 Z.d3 Z/d4 Z0d5 Z1d6 Z2d7 Z3d8 Z4d9 Z5d: Z6ejT                  jW                  d-d.d/g      d;        Z7d< Z8d= Z9ejT                  jW                  d-d.d/g      d>        Z:d? Z;d@ Z<dA Z=dB Z>ejT                  jW                  dC eej~                  j                  dDdD      E       e
dFdGH       edIdJK       edLdIH       e ej                  dD      dM ej                  dN      z  dM ej                  dN      z  d fK       e e ej                  dD      dM ej                  dN      z  dM ej                  dN      z  d fK      j                  E       e       xZDj                  ee      xr eDg      dO        ZFdP ZGdQ ZHdR ZIdS ZJdT ZKdU ZLdV ZMejT                  jW                  d-d.d/g      dW        ZNdX ZOdY ZPdZ ZQd[ ZRd\ ZSd] ZTd^ ZUd_ ZVd` ZWy)a    N)assert_almost_equalassert_array_almost_equalassert_equal)
AffineTransformEssentialMatrixTransformEuclideanTransformFundamentalMatrixTransformPiecewiseAffineTransformPolynomialTransformProjectiveTransformSimilarityTransformestimate_transformmatrix_transform)_GeometricTransform_affine_matrix_from_vector_center_and_normalize_points_euler_rotation_matrixgV-(gp=
%g %g#~j.@gʡe!@g\(%@gQ&@gS㥛$#g9v_@gv@gGzTg(\@gx)@gK7g!rhg'1Zi  i$  i  i  i  iL  i  i  i   i  c            	      
   dD ])  } t        | t        d dd d f   t        d dd d f          + t        j                  t
              5  t        dt        d dd d f   t        d dd d f          d d d        y # 1 sw Y   y xY w)N)	euclidean
similarityaffine
projective
polynomial   foobar)r   SRCDSTpytestraises
ValueErrortforms    /home/developers/rajanand/mypropertyqr-fmb-refixing-v2/venv/lib/python3.12/site-packages/skimage/transform/tests/test_geometric.pytest_estimate_transformr$   5   sz    R :5#bqb!e*c"1"a%j9:	z	" =8S!QZRaRU<= = =s   (A99Bc                  z    t        dd      } t         | t              t        t        | j                               y )N)皙?      ?r   scalerotation)r   r   r   r   paramsr!   s    r#   test_matrix_transformr,   <   s(    *q9Es-c5<<@A    c                     t        dt        d dd d f   t        d dd d f   dz         } t         | t        d dd d f         t        d dd d f   dz          t        | j                  d   | j                  d          t        | j                  d   | j                  d           t        dt        t              }t        |j                   |t                    t               t        |j                  d   |j                  d          t        |j                  d   |j                  d           t               }|j                  t        t              sJ t        |j                  |j                         y )Nr   r   
   r   r      r2   r   r2   r2   r   )r   r   r   r+   r   inverser   estimater"   tform2tform3s      r#   test_euclidean_estimationr:   A   s$   {CAJBQBE
RHEc"1"a%j)3rr1u:?;T*ELL,>?T*U\\$-?,?@  S#6Fvc{3S9d+V]]4-@Ad+fmmD.A-AB  !F??3$$$v}}5r-   c                     t         j                  j                  dd      } t         j                  j                  d      dz  t         j                  z  t         j                  z
  }t	        |      }t         j                  j                  d      }g }| D ]_  }|j                  dd      }t        j                  ||      |j                  dd      z   }|j                  d      }|j                  |       a t        j                  |      }t        d      }|j                  | |      sJ |j                  }	|j                  }
t        |	|       t        |
|       y )N     r=   r   r2   dimensionality)nprandomrandpir   reshapematmulappendarrayr   r6   r*   translationr   )
src_pointsanglesrotation_matrixtranslation_vector
dst_pointsptpt_rdstr"   estimated_rotationestimated_translations              r#   test_3d_euclidean_estimationrT   T   s   a(J YYd#a'"%%/"%%7F,V4O))$/J zz!Qii.1C1K1KAq1QQkk!n#	 *%Ja0E>>*j111!--*O<-/ABr-   c                     d} d}t        | |      }t        |j                  |        t        |j                  |       t        |j                        }t        |j                  |        t        |j                  |       d} d}t        | |      }t        |j                  |        t        |j                  |       t
        j                  dz  } d}t        | |      }t        |j                  |        t        |j                  |       y )Nr2   r1   r*   rI   r   r   )r   r   r*   rI   r+   rA   rD   )r*   rI   r"   r8   s       r#   test_euclidean_initrW   l   s    HKkJE1));7  -F2**K8 HKkJE1));7 uuqyHKkJE1));7r-   c                     t        dt        d dd d f   t        d dd d f         } t         | t        d dd d f         t        d dd d f          t        | j                  d   | j                  d          t        | j                  d   | j                  d           t        dt        t              }t        |j                   |t                    t               t        |j                  d   |j                  d          t        |j                  d   |j                  d           t               }|j                  t        t              sJ t        |j                  |j                         y )Nr   r   r0   r1   r3   r4   )r   r   r   r   r+   r5   r   r6   r7   s      r#   test_similarity_estimationrY      s   |S!QZRaRUDEc"1"a%j)3rr1u:6T*ELL,>?T*U\\$-?,?@  c37Fvc{3S9d+V]]4-@Ad+fmmD.A-AB !"F??3$$$v}}5r-   c                  ,   t         j                  j                  dd      } t         j                  j                  d      dz  t         j                  z  t         j                  z
  }t         j                  j	                  dd      }t        |      |z  }t         j                  j                  d      }g }| D ]_  }|j                  dd      }t        j                  ||      |j                  dd      z   }|j                  d      }|j                  |       a t        j                  |      }t        d      }	|	j                  | |      sJ |	j                  }
|	j                  }|	j                  }t        ||       t        ||       t        |
|       y )	Nr<   r=   r>   r   r      r2   r?   )rA   rB   rC   rD   randintr   rE   rF   rG   rH   r   r6   r*   rI   r)   r   )rJ   rK   r)   rL   rM   rN   rO   rP   rQ   r"   rR   rS   estimated_scales                r#   test_3d_similarity_estimationr^      sM   a(J YYd#a'"%%/"%%7FIIa$E,V4u<O))$/J zz!Qii.1C1K1KAq1QQkk!n#	 *%Jq1E>>*j111!--kkO-/AB/*O<r-   c                     d} d}d}t        | ||      }t        |j                  |        t        |j                  |       t        |j                  |       t        |j
                        }t        |j                  |        t        |j                  |       t        |j                  |       d} d}d}t        | ||      }t        |j                  |        t        |j                  |       t        |j                  |       d} t        j                  dz  }d}t        | ||      }t        |j                  |        t        |j                  |       t        |j                  |       d} t        j                  dz  }d}t        j                  g d	g d
g dg      }t        |      }t        |j                  |        t        |j                  |       t        |j                  |       y )Nr&   r2   r1   )r)   r*   rI   r   r         ?r0   )r   gs"   <)r2   g3   <gs"   ؼr   r   r2   )	r   r   r)   r*   rI   r+   rA   rD   rH   )r)   r*   rI   r"   r8   r+   s         r#   test_similarity_initrc      s   EHKehKXEU+1));7 !.Fe,2**K8 EHKehKXEU+1));7 EuuqyHKehKXEU+1));7 EuuqyHKXX	 "F	RF  'EU+1));7r-   c                     t        dt        d dd d f   t        d dd d f         } t         | t        d dd d f         t        d dd d f          t        dt        t              }t        |j	                   |t                    t               t               }|j                  t        t              sJ t        |j                  |j                         y )Nr   r=   )r   r   r   r   r5   r   r6   r+   r7   s      r#   test_affine_estimationre      s    xRaRUS!QZ@Ec"1"a%j)3rr1u:6  #s3Fvc{3S9 F??3$$$v}}5r-   c                  $   d} d}d}d}t        | |||      }t        |j                  |        t        |j                  |       t        |j                  |       t        |j
                  |       t        |j                        }t        |j                  |        t        |j                  |       t        |j                  |       t        |j
                  |       t        t        d      j                  t        d      j                         y )	N)r&   gp=
ף?r2   r&   r1   )r)   r*   shearrI   r'   )r)   )r'   r'   )r   r   r)   r*   rg   rI   r+   )r)   r*   rg   rI   r"   r8   s         r#   test_affine_initrh      s    EHEKheE U+1U+));7 U\\*Fe,2e,**K8 c"((/
*K*Q*Qr-   c                     d} t        j                  |        }t        j                  d|dgg dg dg      }t        |       }t	        |j
                  |       d} t        j                  | d          }t        j                  | d          }t        j                  d|dg|ddgg dg      }t        |       }t	        |j
                  |       y )Nr&   r2   r   r   r2   r   rb   )rg   )333333?g?)rA   tanrH   r   r   r+   )rg   cxexpectedr"   cys        r#   test_affine_shearrp     s    E
&&-Bxx!RY	:;H%(Eh/E
&&q
	B
&&q
	Bxx!Rb!QZ;<H%(Eh/r-   c                      t               } | j                  t        t              sJ t	         | t              t               t	        | j                  t              t               y N)r
   r6   r   r   r   r5   r!   s    r#   test_piecewise_affiners   #  s?    $&E>>#s###c
C(c*C0r-   c                  $   t        j                  g d      j                  dd      } t        j                  g d      j                  dd      }t        d| |      }t        j                  g dg dg dg      }t	        |j
                  |d	       y )
Ng0l?gcGP?gz7e?gDo?g-lI?gz0)>?g㪲?gl%?g6?g27߈?gX/@gAG>#@gQ293L?gKh?gK=U?g0DK?ra   r   gэ?gEA?g1#Y?gd9?glY?gh!˛?g?gVa3?gCSvA?g*D/X?gHhy?gRr?g77M?gXR>G?g\mO?gCP5zu?fundamental)gg˿gQKs+?g)gag)n?g`k[9 ?)g`~?g~K|ۿgķfᡖ?   rA   rH   rE   r   r   r+   srcrQ   r"   	tform_refs       r#   "test_fundamental_matrix_estimationr}   +  s    
((	
& gb!n' ( ((	
& gb!n' * }c37E -.,	
I i3r-   c                  ^   t        t        j                  d      t        j                  g d            } t	               }| j
                  |_        t        j                  ddgddgddgg      }t        j                  ddgddgddgg      }t        |j                  ||      dz  g d       y Nr=   r2   r   r   rV   r   r   r2   )r   r'   r   )r   rA   eyerH   r	   r+   r   	residuals)essential_matrix_tformr"   r{   rQ   s       r#   !test_fundamental_matrix_residualsr   b  s    5(; '(E)00EL
((QFQFQF+
,C
((QFQFQF+
,CS1Q6Dr-   array_like_inputFTc                    | rg dg dg dg}d}n,t        j                  d      }t        j                  g d      }t        ||      }| r#|j                  D cg c]  }t        |       }}n|j                  }t        |      }t        j                  ddgddgddgg      }t         ||      g d	g d
g d
g       y c c}w )Nr   rj   rb   r=   rV   matrixr   r2   r   ra   r   r   ra   r2   )rA   r   rH   r   r+   listr	   r   )r   r*   rI   r   pr+   r"   r{   s           r#   test_fundamental_matrix_forwardr   m  s    y)466!9hhy)5{ #9#@#@Aa$q'AA'..&f5E
((QFQFQF+
,Cc
ZZ$HI Bs   Cc                  (   t        t        j                  d      t        j                  g d            } t	               }| j
                  |_        t        j                  ddgddgddgg      }t        |j                  |      g dg dg dg       y Nr=   r   rV   r   r2   rj   )r   r2   ra   )r   rA   r   rH   r	   r+   r   r5   )r   r"   r{   s      r#   test_fundamental_matrix_inverser     su    5(; '(E)00EL
((QFQFQF+
,Cc*Y
J,OPr-   c                  P   t        j                  g d      j                  dd      } t        j                  g d      j                  dd      }t        d| |      }t        d||       }t         j                  j                  |j                  j                  |j                         y )Nru   ra   r   rv   rw   )rA   rH   rE   r   testingr   r5   r+   )r{   rQ   r"   	tform_invs       r#   *test_fundamental_matrix_inverse_estimationr     s    
((	
& gb!n' * ((	
& gb!n' . }c37E"=#s;IJJ(()=)=y?O?OPr-   c                     t        j                  g d      j                  dd      } t        j                  g d      j                  dd      }t        d| |      }t        j                  t        j
                  t        j                  |t        j                  t        |            f       ||       z  d            }t        j                  |dk        sJ y )	Nru   ra   r   rv   rw   r2   axisg{Gz?)
rA   rH   rE   r   abssumcolumn_stackoneslenall)r{   rQ   r"   r   s       r#   +test_fundamental_matrix_epipolar_projectionr     s    
((	
& gb!n' * ((	
& gb!n' * }c37E 	rvvboosBGGCH,=&>?%*LSTUVA66!d(r-   c                      t        t        j                  d      t        j                  g d            } t	        | j
                  t        j                  g d      j                  dd             y )Nr=   rb   rV   )	r   ra   r   r2   r   r   r   r   r   )r   rA   r   rH   r   r+   rE   r!   s    r#   test_essential_matrix_initr     sJ    $(;E rxx(DEMMaQRSTr-   c                  $   t        j                  g d      j                  dd      } t        j                  g d      j                  dd      }t        d| |      }t        j                  g dg dg dg      }t	        |j
                  |d	       y )
Nru   ra   r   rv   	essential)g"UǴg2FY?gU)gDMȿgkC8g˼Uס?)gCH?gx@ٔ+̿gӠh"rx   ry   rz   s       r#    test_essential_matrix_estimationr     s    
((	
& gb!n' ( ((	
& gb!n' * {C5E .-+	
I i3r-   c                      t        t        j                  d      t        j                  g d            } t        j                  ddgddgddgg      }t	         | |      g dg dg dg       y )Nr=   r   rV   r   r2   r   r   )r   rA   r   rH   r   r"   r{   s     r#   test_essential_matrix_forwardr   .  sZ    $(;E ((QFQFQF+
,Cc
ZZ$HIr-   c                      t        t        j                  d      t        j                  g d            } t        j                  ddgddgddgg      }t	        | j                  |      g dg dg dg       y r   )r   rA   r   rH   r   r5   r   s     r#   test_essential_matrix_inverser   6  s_    $(;E ((QFQFQF+
,Cc*Y
J,OPr-   c                  (   t        t        j                  d      t        j                  g d            } t        j                  ddgddgddgg      }t        j                  ddgddgddgg      }t	        | j                  ||      dz  g d       y r   )r   rA   r   rH   r   r   )r"   r{   rQ   s      r#   test_essential_matrix_residualsr   >  s    $(;E ((QFQFQF+
,C
((QFQFQF+
,CS1Q6Dr-   c                     t        dt        d dd d f   t        d dd d f         } t         | t        d dd d f         t        d dd d f          t        dt        t              }t        |j	                   |t                    t               t               }|j                  t        t              sJ t        |j                  |j                         y )Nr      )r   r   r   r   r5   r   r6   r+   r7   s      r#   test_projective_estimationr   G  s    |S!QZRaRUDEc"1"a%j)3rr1u:6  c37Fvc{3S9 !"F??3$$$v}}5r-   c            
         t        dt        d dd d f   t        d dd d f         } t        dt        d dd d f   t        d dd d f   t        j                  d            }t        | j                  |j                         t        dt        t              } t        dt        t        t        j                  t        j                  d               }t        | j                  |j                         t        j                  t        j                  d   dz         }d|d<   t        dt        t              }t        dt        t        j                  dt        j                  d         d d f   t        t        j                  dt        j                  d         d d f   |      }t        |j                  |j                  d       y )	Nr   r   r   r2   V瞯<ra   r=   decimal)	r   r   r   rA   r   r   r+   shapearanger"   tform_wpoint_weightstform1r8   s        r#   #test_projective_weighted_estimationr   V  sH   |S!QZRaRUDE s2A2q5z3rr1u:rwwqzRGgnn5 |S#6E sC19NOGgnn5 GGCIIaL1,-MM!c37FBIIb#))A,'*+BIIb#))A,'*+	F v}}a@r-   c                     t        dt        t              }| r#|j                  D cg c]  }t	        |       }}n|j                  }t        |      }t        |j                  |j                         y c c}w )Nr   )r   r   r   r+   r   r   r   r   r"   r   r+   r8   s        r#   test_projective_initr   o  sX    |S#6E#(<<0a$q'00 (Fu||4	 1s   A3c                      t        dt        t        d      } t         | t              t        d       t	               }|j                  t        t        d      sJ t        |j                  | j                         y )Nr   r/   orderrx   )r   r   r   r   r   r6   r+   r"   r8   s     r#   test_polynomial_estimationr   {  sV    |S#R@Ec
C+ !"F??32?...u||4r-   c            
         t        dt        t        d      } t        dt        t        dt        j                  t        j
                  d               }t        | j                  |j                         t        j                  t        j
                  d   dz         }d|d<   t        dt        t        d      }t        dt        t        j                  dt        j
                  d         d d f   t        t        j                  dt        j
                  d         d d f   d|      }t        |j                  |j                  d	
       y )Nr   r/   r   r   )r   weightsr2   r   ra   r   r   )	r   r   r   rA   r   r   r   r+   r   r   s        r#   #test_polynomial_weighted_estimationr     s    |S#R@E c3b"''#))A,2GG gnn5 GGCIIaL1,-MM!c3bAFBIIb#))A,'*+BIIb#))A,'*+F v}}a@r-   c                     t        dt        t        d      }| r#|j                  D cg c]  }t	        |       }}n|j                  }t        |      }t        |j                  |j                         y c c}w )Nr   r/   r   )r   r   r   r+   r   r   r   r   s        r#   test_polynomial_initr     sZ    |S#R@E#(<<0a$q'00 (Fu||4	 1s   A5c                      t        dt        t              } t        dt        t        d      }t        |j                  | j                         y )Nr   r   r   )r   r   r   r   r+   r   s     r#   test_polynomial_default_orderr     s2    |S#6Ec3a@Fu||4r-   c                      t        j                  t              5  t               j	                  d       d d d        y # 1 sw Y   y xY w)Nr   )r   r   NotImplementedErrorr   r5    r-   r#   test_polynomial_inverser     s5    	*	+ )%%a() ) )s	   =Ac                     t        dd      } t        dd      }t        dd      }| |z   }t        |j                  |j                         t        dd      } t        dd      }t        dd      }| |z   }t        |j                  |j                         |j                  t
        k(  sJ t        dd      }t        ||j                  z   j                  t        j                  d             t        dd      } t        dd      }t        d	d
      }| |j                  z   }t        |j                  |j                         y )Nr&   333333?r(   ?g|Gz?rk   r&   r&   r=   r`   g433333)	r   r   r+   r   	__class__r   r5   rA   r   )r   r8   r9   r"   s       r#   
test_unionr     s    sS9F sS9F v	BFVOEfmm4:<F sS9F v	BFVOEfmm4??1111*s;E.66q	B sS9F sS9F }yIFV^^#Efmm4r-   c                      t               } t               }t        j                  t              5  | j                  |       d d d        y # 1 sw Y   y xY wrr   )r   r   r   r   	TypeError__add__)r   r8   s     r#   test_union_differing_typesr     s?     "F "F	y	! v  s   A		Ar"   r=   r   r   r   r(   r      r   rV   r&   r2   r   c                 ,   t        | j                  t        |             sJ 	 t        | j                  j                  j                  | j                         t        | j                  j                  t               | t                     t        | t        t        t        f      sOt         | | j                  z   t              t               t         | j                  | z   t              t               y y # t
        $ r t        | t              sJ Y w xY wrr   )

isinstancer5   typer   r+   AttributeErrorr
   r   r   r	   r!   s    r#   test_inverse_all_transformsr     s    & emmT%[111;EMM1188%,,G --c2E#J?$&$	
 	2UU]]2C8#>2U]]U2C8#>	  ;%!9:::;s   4C5 5DDc                  :   t        j                  t        d      5  t                d d d        t	        d      D ]  } t
        j                  j                  dd      dz  }|d|d   dk(  fxx   t        j                  t              j                  z  cc<   ||d   z  }t        j                  |d	   d
z   |d    z  d
gd
|d   d
z   |d	    z  gd
d
gg      }t        |      } ||      }t        j                  |      j                         rJ  y # 1 sw Y   xY w)Nz Can't instantiate abstract class)matchr[   r=   d   r   r   )r   r   )r   r2   r2   )r   r   )r   r   r   r   rangerA   rB   rC   finfofloatepsrH   r   isfiniter   )iHr{   r"   rQ   s        r#   test_geometric_tformr     s   	y(J	K  2Y &IINN1a 3&	!QqTQY,288E?...	QtW hhD'A+!D')1-QtWq[QtWH,-A
 $A&Cj{{3##%%%'&	 s   DDc                  6
   t        j                  t              5  t        t	        j
                  d             d d d        t        j                  t              5  t        t	        j
                  d             d d d        t        j                  t              5  t        t	        j
                  d             d d d        t        j                  t              5  t        t	        j
                  d             d d d        t        j                  t              5  t        t	        j
                  d      d       d d d        t        j                  t              5  t        t	        j
                  d      d       d d d        t        j                  t              5  t        t	        j
                  d      d       d d d        t        j                  t              5  t        t	        j
                  d             d d d        t        j                  t              5  t        t	        j
                  d             d d d        t        j                  t              5  t        t	        j
                  d             d d d        t        j                  t              5  t        t	        j
                  d      	       d d d        t        j                  t              5  t        t	        j
                  d      	       d d d        t        j                  t              5  t        t	        j                  d
      	       d d d        t        j                  t              5  t        t	        j                  d
      t	        j
                  d             d d d        t        j                  t              5  t        t	        j                  d
      t	        j
                  d             d d d        t        j                  t              5  t        t	        j                  d
      t	        j
                  d             d d d        y # 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   |xY w# 1 sw Y   GxY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   vxY w# 1 sw Y   BxY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   ^xY w# 1 sw Y   xY w# 1 sw Y   y xY w)N)r   r=   r2   )r   r)   r0   )r   rI   r=   r=   )r=   r   r   )r*   r=   )r   rV   r>   )r   r   r    r   rA   zerosr   r   r   r   r	   r   r   r   r-   r#   test_invalid_inputr     sZ   	z	" .BHHV,-.	z	" *()*	z	" .BHHV,-.	z	" -288F+,-	z	" :rxx/q9:	z	" >288F#31=>	z	" H"((6"2GH	z	" .BHHV,-.	z	" <""((6*:;<	z	" : (89: 
z	" < "((6*:;<	z	" < "((6*:;<	z	" 5 "&&)45	z	" Q "&&)$PQ	z	" Q "&&)$PQ	z	" Q "&&)$PQ Q?. .* *. .- -: :> >H H. .< <: :< << <5 5Q QQ QQ Qs   QQQ&Q3!R !R!R R'  R4! S" S# S$ S(%4S5:4T4TQQ#&Q03Q= R
RR$'R14R>SSS%(S25S?TTc                  "   t        j                  d      x} }t               }|j                  | |      rJ t        j                  t        j
                  |j                              sJ t               }|j                  | |      rJ t        j                  t        j
                  |j                              sJ t               }|j                  | |      rJ t        j                  t        j
                  |j                              sJ t               }|j                  | |      rJ t        j                  t        j
                  |j                              sJ t               }t        d      D ]  }t         j                  j                  dd      dz  } t         j                  j                  dd      dz  }t         j                  j                         | d d df<   |j                  | |      st        j                  |j                        j	                         rJ  t        j                  g dg dg dg      } t        j                  g d	g d	g d
g      }t               }|j                  | |      rJ t        j                  t        j
                  |j                              sJ t        j                  g dg dg dg dg dg dg dg dg dg	      } t        j                  g dg dg dg dg dg dg dg dg dg	      }t!               }|j                  | |      rJ t        j                  t        j
                  |j"                  d   j                              sJ t%        |j"                        D ]?  \  }}|dk7  st        j                  t        j
                  |j                              s?J  |j&                  D ]6  }t        j                  t        j
                  |j                              s6J  y )N)r/   r   r[   r   r   r   r2   )r   r   r   )r   r   r   rj   )r   r=   r   )r         )r   r   r   )r   r   r   )r   @   r   )r   r   r   )r   r   r   )r   r   r   )r   r   r   )r         )r   r   r   )r   ir   )r      r   )r   r   r   )r   r   r   )r   r   r   )r   r   r   )rA   r   r   r6   r   isnanr+   r   r   r   r   rB   rC   r   rH   asarrayr
   affines	enumerateinverse_affines)r{   rQ   r"   r   idxr   s         r#   test_degenerater   8  s!   !!C#!E~~c3'''66"((5<<())) E~~c3'''66"((5<<()))E~~c3'''66"((5<<()))!E~~c3'''66"((5<<()))  !E2Y 	OiinnQ"S(iinnQ"S( IINN$AqD	 >>#s+r{{5<</H/L/L/NNN	O ((Iy)4
5C
((Iy)4
5CE~~c3'''66"((5<<())) **
	
C **
	
C %&E~~c3'''66"((5==+223444 / 7V!8vvbhhv}}56667 '' 366"((6==12223r-   c                  V   t        j                  ddggdz        } t        |       \  }}t        j                  t        j                  |            sJ t        j                  t        j                  |            sJ |j
                  dk(  sJ |j
                  | j
                  k(  sJ y)z?Return nan matrix *of appropriate size* when point is repeated.gYi[R@gW@r=   r   N)rA   rH   r   r   r   r   )ptsmatpts_tfs      r#    test_normalize_degenerate_pointsr     s    
(([*-.2
3C.s3KC66"((3-   66"((6"###99<<399$$$r-   c                  @   t               } t        j                  t        j                  d      j                               dz   t        j                  d      z   }|j                  dd      }|j                  dd      }t        j                  |t        |             sJ y )Nz
        <ProjectiveTransform(matrix=
            [[1., 0., 0.],
             [0., 1., 0.],
             [0., 0., 1.]]) at
        z 0x[a-f0-9]+>0\. *0\.1\. *1\.)	r   reescapetextwrapdedentstripreplacer   reprr"   wants     r#   test_projective_reprr    s    !E
		OO eg		
 
	 ))C.	 	  <<)D<<)D88D$u+&&&r-   c                     t               } t        j                  t        j                  d      j                               }|j                  dd      }|j                  dd      }t        j                  |t        |             sJ y )Nz
        <ProjectiveTransform(matrix=
            [[1., 0., 0.],
             [0., 1., 0.],
             [0., 0., 1.]])>
        r  r  r  r  )	r   r  r  r  r  r	  r
  r   strr  s     r#   test_projective_strr    sl    !E99	
 %'	D <<)D<<)D88D#e*%%%r-   c                 |   t        j                   | |      |z
  dz        }t        | j                  j                        D ]y  }dD ]r  }t        j
                  | j                        }|j                  |xx   |z  cc<   | j                  |      }t        j                   ||      |z
  dz        }||kD  rrJ  { y )Nr   )gMbP?gMbPr   )rA   r   r   r+   sizecopyflatr   )	tfr{   rQ   baseliner   updater+   new_tfnew_ssqs	            r#   _assert_least_squaresr    s    vvr#w}*+H299>>" &% 	&FWWRYY'FKKNf$N\\\0FfffSkC/A56GX%%%	&&r-   c                    d}t         j                  j                  d|f      dt        j                  dd|z         z  z  }t        j                  g dg dg dg dg      }| r0|D cg c]  }t	        |       }}|D cg c]  }t	        |       }}t        |	      } ||      }|t         j                  j                  d|f      z   }| r|D cg c]  }t	        |       }}t        |
      }|j                  ||      sJ t        j                  |      }t        |j                  d d d df   |d d d df   d       t        |j                  d d df   |d d df   d       t        |||       y c c}w c c}w c c}w )Nr=      r      )g333333@r&   g?r  )        r`   r&      )r  r  r`   )r  r  r  r`   r   r?   ra   r   r   )rA   rB   r   rH   r   r   r6   r   r   r+   r  )	r   ndimr{   r   cr  rQ   	dst_noisytf2s	            r#   test_estimate_affine_3dr&    se   D
))

B:
&bii1t8.D)D
DCXX 		
F  #$1tAw$$#)*a$q'**		'B
S'Cbii&&Dz22I #$1tAw$$

.C<<Y''' ZZF

1crc6*F1crc6NAF

1b5)6!R%=!D#sI.! %* %s   (E9 E>Fc                     t        j                  t              5  t        d      } d d d        t        j                  t              5  t        t	        j
                  d            } d d d        y # 1 sw Y   JxY w# 1 sw Y   y xY w)Nr=   r?   r   )r   r   r   r	   rA   r   _s    r#   #test_fundamental_3d_not_implementedr*    sg    	*	+ 9&a89	*	+ 2&rvvay12 29 92 2s   A0A<0A9<Bc                      t        j                  d      } t        |       }t        t        j                  |      |        t        t        j                  |t
              | j                  t
                     y )Nr   )dtype)rA   r   r   r   rH   intastype)r   r  s     r#   test_array_protocolr/    sH    
&&)C	S	!B"s#"C(#**S/:r-   c                      t        j                  t         j                  j                  d      t        j                  d      dd  fd      } | d d j	                         }t        |      }t        |      }t        t        j                  |      |        t        j                  t              5  t        |d d       }d d d        t        j                  t              5  t        |d d       }d d d        y # 1 sw Y   ;xY w# 1 sw Y   y xY w)N)r=   r   r   ra   r   r   r   )rA   concatenaterB   r   ravelr   r   r   rH   r   r   r    )r   v
mat_from_vr  r)  s        r#   0test_affine_transform_from_linearized_parametersr5    s    
.."))**62BFF1IbcNC!
LCCRA+A.J	
	+B"s#	z	" /&q"v./	z	" +1Sb6*+ +/ /+ +s   /C8D8DDc                  z    t        j                  t              5  t        dd      } d d d        y # 1 sw Y   y xY w)Nr   r=   r)   r@   )r   r   r    r   r(  s    r#   test_affine_params_nD_errorr8    s/    	z	" 7!A67 7 7s   1:c                      g dt        j                  g d      g dfg dt        j                  g d      g dffD ]"  \  } }}t        |      }t        || z  |d       $ y )	N)r   r/   r   )Z   -   r;  )r<  gffffff@)ra   r  r!  )i   i)g?g@gffffffr2   r   )rA   radiansr   r   )r3  rK   rn   Rs       r#   test_euler_rotationr@    s]    	RZZ-}=	bjj02BC  868 #6*AE8Q78r-   c                  Z   t        d      } t        j                  |       d   dk(  sJ t        dd      } t        t        j                  |       g dg d	f   d       t	        j
                  t              5  t        d
d      }d d d        t	        j
                  t              5  t        dd      }d d d        t        t        j                  t        j                  d      z  d      } t        t        j                  |       d ddf   d       y # 1 sw Y   xY w# 1 sw Y   mxY w)Nr   )rI   r3   r   )r   r   	   r=   rI   r@   )r   r   r2   r2   r   r   )r2   r   r   r   r   r2   )r   rx   r     r   )r   rD  r*   r@   ra   )	r   rA   rH   r   r   r   r    rD   r   )r  r)  s     r#   test_euclidean_param_defaultsrF    s    		/B88B<"""		!	DB"02DDEqI	z	" K<JK 
z	" BqAB 
RUURYYq\%9!	LB"crc1f%q)K KB Bs   8D'D!D!D*c                      t        j                  t              5  t        dd      } d d d        t        dd      }t	         |g dg      g dg       y # 1 sw Y   /xY w)N)r   r   rx   r  r   rC  r=   r7  )r2   r2   r2   )r   r   r   )r   r   r    r   r   r)  r  s     r#    test_similarity_transform_paramsrI  "  sQ    	z	" LLKL	1Q	7BYK9+.L Ls   AAc                      t         j                  j                  d      dz  t         j                  z  t         j                  z
  } t        | d      }t	        | d      }t        ||       y )Nr>   r   r=   rE  )rA   rB   rD   r   r   r   )rK   euclidsimilars      r#   test_euler_angle_consistencyrM  )  sO    YYd#a'"%%/"%%7FBF!6!DGfg.r-   c                  x   t        j                  t              5  t        d      } d d d        t	        d      }t        j                  t              5  |j
                  } d d d        t        j                  t              5  |j                  } d d d        y # 1 sw Y   rxY w# 1 sw Y   DxY w# 1 sw Y   y xY w)Nr=   r?   )r   r   r   r   r   r*   rg   rH  s     r#   test_2D_only_implementationsrO  0  s    	*	+ 2q12		*B	*	+ KK	*	+ HH 2 2  s#   BB$B0B!$B-0B9)Xr  r  numpyrA   r   numpy.testingr   r   r   skimage.transformr   r   r   r	   r
   r   r   r   r   r   skimage.transform._geometricr   r   r   r   rH   r   r   r$   r,   r:   rT   rW   rY   r^   rc   re   rh   rp   rs   r}   r   markparametrizer   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   rB   rC   r   sqrtr+   tr6   r   r   r   r   r   r  r  r  r&  r*  r/  r5  r8  r@  rF  rI  rM  rO  r   r-   r#   <module>rX     s~   	    V V    bhh	8	7		'		&		'	 bhh	
A	
D		t	q		t	t	s	t	=B
6&C0886&=6-8`660&144nE +eT];J <J&Q0Qf/dU44nJQE6A2 +eT];5 <55A. +eT];5 <55)
50 299>>!Q#78j37CV<#4 RVVAYQ^Q^Q,O	
 	#+WRWWQZWRWWQZQR0Sf	

 ()
)!	3	3C	=	C!$?%$?(&6!QHK3\%'.&&& +eT];/ </B2;
+7
8*$//r-   