o
    :ήcj                     @   s\  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 d dlmZmZmZmZmZmZmZmZmZmZ e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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d  Zd!d" Zd#d$ Zd%d& Zd'd( Z d)d* Z!d+d, Z"d-d. Z#d/d0 Z$d1d2 Z%d3d4 Z&d5d6 Z'd7d8 Z(d9d: Z)d;d< Z*d=d> Z+d?d@ Z,dAdB Z-dCdD Z.dEdF Z/dGdH Z0dIdJ Z1dKdL Z2dMdN Z3dOdP Z4dQdR Z5dSdT Z6dUdV Z7dWdX Z8dYdZ Z9d[d\ Z:d]d^ Z;d_d` Z<dadb Z=dcdd Z>dedf Z?dgdh Z@didj ZAdkdl ZBdmdn ZCdodp ZDdqdr ZEdsdt ZFdudv ZGdwdx ZHdS )y    N)assert_almost_equalassert_array_almost_equalassert_equal)_affine_matrix_from_vector_center_and_normalize_points_euler_rotation_matrixGeometricTransform)
estimate_transformmatrix_transformEuclideanTransformSimilarityTransformAffineTransformFundamentalMatrixTransformEssentialMatrixTransformProjectiveTransformPolynomialTransformPiecewiseAffineTransformg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                  C   s   dD ]} t | td dd d f td dd d f  qtt t dtd dd d f td dd d f  W d    d S 1 sBw   Y  d S )N)	euclidean
similarityaffine
projective
polynomial   foobar)r	   SRCDSTpytestraises
ValueErrortform r!   M/tmp/pip-target-vg8gfxp4/lib/python/skimage/transform/tests/test_geometric.pytest_estimate_transform*   s
   .."r#   c                  C   s&   t ddd} t| ttt| j d S )N)皙?      ?r   scalerotation)r   r   r   r
   paramsr   r!   r!   r"   test_matrix_transform2   s   r*   c                  C   s  t dtd dd d f td dd d f d } t| td dd d f td dd d f d  t| jd | jd  t| jd | jd   t dtt}t||tt t|jd |jd  t|jd |jd   t }|ttszJ t|j|j d S )Nr   r   
   r   r      r.   r   r.   r.   r   )r	   r   r   r)   r   inverser   estimater    tform2tform3r!   r!   r"   test_euclidean_estimation7   s   02r6   c                  C   s   d} d}t | |d}t|j|  t|j| t |j}t|j|  t|j| d} d}t | |d}t|j|  t|j| tjd } d}t | |d}t|j|  t|j| d S )Nr.   r-   r(   translationr   r   )r   r   r(   r8   r)   nppi)r(   r8   r    r4   r!   r!   r"   test_euclidean_initJ   s$   

r;   c                  C   s   t dtd dd d f td dd d f } t| td dd d f td dd d f  t| jd | jd  t| jd | jd   t dtt}t||tt t|jd |jd  t|jd |jd   t }|ttsvJ t|j|j d S )Nr   r   r,   r-   r/   r0   )r	   r   r   r   r)   r1   r   r2   r3   r!   r!   r"   test_similarity_estimationf   s   ,.r<   c                  C   sL  d} d}d}t | ||d}t|j|  t|j| t|j| t |j}t|j|  t|j| t|j| d} d}d}t | ||d}t|j|  t|j| t|j| d} tjd }d}t | ||d}t|j|  t|j| t|j| d} tjd }d}tg d	g d
g dg}t |}t|j|  t|j| t|j| d S )Nr$   r.   r-   )r'   r(   r8   r   r         ?r,   )r   gs"   <)r.   g3   <gs"   ؼr   r   r.   )	r   r   r'   r(   r8   r)   r9   r:   array)r'   r(   r8   r    r4   r)   r!   r!   r"   test_similarity_inity   sT   



rA   c                  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||tt t }|ttsHJ t|j|j d S )Nr      )r	   r   r   r   r1   r   r2   r)   r3   r!   r!   r"   test_affine_estimation      ,.rD   c                  C   s   d} d}d}d}t | |||d}t|j|  t|j| t|j| t|j| t |j}t|j|  t|j| t|j| t|j| tt ddjt ddj d S )	N)r$   gp=
ף?r.   r$   r-   )r'   r(   shearr8   r%   )r'   )r%   r%   )r   r   r'   r(   rF   r8   r)   )r'   r(   rF   r8   r    r4   r!   r!   r"   test_affine_init   s"   
rG   c                  C   s8   t  } | ttsJ t| tt t| tt d S N)r   r2   r   r   r   r1   r   r!   r!   r"   test_piecewise_affine   s   rI   c                  C   f   t g ddd} t g ddd}td| |}t g dg dg dg}t|j|d	 d S )
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?r>   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?   r9   r@   reshaper	   r   r)   srcdstr    	tform_refr!   r!   r"   "test_fundamental_matrix_estimation      
rU   c                  C   s   t tdtg dd} t }| j|_tddgddgddgg}tddgddgddgg}t|||d g d d S NrC   r.   r   r   r7   r   r   r.   )r   r%   r   )r   r9   eyer@   r   r)   r   	residuals)essential_matrix_tformr    rR   rS   r!   r!   r"   !test_fundamental_matrix_residuals   s   r\   c                  C   sj   t tdtg dd} t }| j|_tddgddgddgg}t||g dg dg dg d S NrC   rX   r7   r   r.   )r   r>   r   )r   r>   r.   )r   r9   rY   r@   r   r)   r   r[   r    rR   r!   r!   r"   test_fundamental_matrix_forward   s   $r_   c                  C   sl   t tdtg dd} t }| j|_tddgddgddgg}t||g dg dg dg d S NrC   rX   r7   r   r.   r   r.   r   )r   r.   r>   )r   r9   rY   r@   r   r)   r   r1   r^   r!   r!   r"   test_fundamental_matrix_inverse  s   
rb   c                  C   s>   t tdtg dd} t| jtg ddd d S )NrC   r?   r7   )	r   r>   r   r.   r   r   r   r   r   )r   r9   rY   r@   r   r)   rP   r   r!   r!   r"   test_essential_matrix_init  s   
rc   c                  C   rJ   )
NrK   r>   r   rL   	essential)g"UǴg2FY?gU)gDMȿgkC8g˼Uס?)gCH?gx@ٔ+̿gӠh"rN   rO   rQ   r!   r!   r"    test_essential_matrix_estimation  rV   re   c                  C   s\   t tdtg dd} tddgddgddgg}t| |g dg dg dg d S r]   )r   r9   rY   r@   r   r    rR   r!   r!   r"   test_essential_matrix_forward%  s
   
$rg   c                  C   s^   t tdtg dd} tddgddgddgg}t| |g dg dg dg d S r`   )r   r9   rY   r@   r   r1   rf   r!   r!   r"   test_essential_matrix_inverse,  s   

rh   c                  C   sr   t tdtg dd} tddgddgddgg}tddgddgddgg}t| ||d g d d S rW   )r   r9   rY   r@   r   rZ   )r    rR   rS   r!   r!   r"   test_essential_matrix_residuals4  s   
ri   c                  C   rB   )Nr      )r	   r   r   r   r1   r   r2   r)   r3   r!   r!   r"   test_projective_estimation<  rE   rk   c               	   C   s"  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d}t| j|j t dtt} t dttttjd }t| j|j ttjd d }d|d< t dtt}t dttdtjd d d f ttdtjd d d f |}t|j|jdd d S )	Nr   rj   r   r.   V瞯<r>   rC   decimal)	r	   r   r   r9   onesr   r)   shapearanger    tform_wpoint_weightstform1r4   r!   r!   r"   #test_projective_weighted_estimationK  s&   ,,rv   c                  C   s(   t dtt} t| j}t|j| j d S )Nr   )r	   r   r   r   r)   r   r    r4   r!   r!   r"   test_projective_inite  s   
rx   c                  C   sL   t dttdd} t| ttd t }|jttddsJ t|j| j d S )Nr   r+   orderrN   )r	   r   r   r   r   r2   r)   rw   r!   r!   r"   test_polynomial_estimationl  s
   r{   c               	   C   s   t dttdd} t dttdttjd d}t| j|j ttjd d }d|d< t dttdd}t dttdtjd d d f ttdtjd d d f d|d}t|j|jd	d
 d S )Nr   r+   ry   r   )rz   weightsr.   rl   r>   rj   rm   )	r	   r   r   r9   ro   rp   r   r)   rq   rr   r!   r!   r"   #test_polynomial_weighted_estimationw  s$   r}   c                  C   s,   t dttdd} t| j}t|j| j d S )Nr   r+   ry   )r	   r   r   r   r)   r   rw   r!   r!   r"   test_polynomial_init  s   
r~   c                  C   s.   t dtt} t dttdd}t|j| j d S )Nr   r   ry   )r	   r   r   r   r)   rw   r!   r!   r"   test_polynomial_default_order  s   r   c                   C   s<   t t t d W d    d S 1 sw   Y  d S )Nr   )r   r   	Exceptionr   r1   r!   r!   r!   r"   test_polynomial_inverse     "r   c                  C   s   t ddd} t ddd}t ddd}| | }t|j|j tddd} t ddd}t ddd}| | }t|j|j |jtksAJ tddd}t||j jtd t ddd} t ddd}t d	d
d}| |j }t|j|j d S )Nr$   g333333?r&   g?g|Gz?g333333?)r$   r$   rC   r=   g433333)	r   r   r)   r   	__class__r   r1   r9   rY   )ru   r4   r5   r    r!   r!   r"   
test_union  s$   
r   c                  C   sF   t  } t }tt | | W d    d S 1 sw   Y  d S rH   )r   r   r   r   	TypeError__add__)ru   r4   r!   r!   r"   test_union_differing_types  s
   "r   c                  C   sV  t  } tt | d W d    n1 sw   Y  tt | d W d    n1 s1w   Y  tt | d W d    n1 sKw   Y  tdD ]T}tj	ddd }|d|d dkf  t
tj7  < ||d  }t|d d |d	   dgd|d	 d |d   gddgg}t|} | |}t| sJ qTd S )
Nr      rC   d   r   )r   r   )r   r.   r.   )r   r   )r   r   r   NotImplementedErrorr1   r   ranger9   randomrandfinfofloatepsr@   r   isfiniteall)r    iHrR   rS   r!   r!   r"   test_geometric_tform  s.   
$r   c                   C   s  t t ttd W d    n1 sw   Y  t t ttd W d    n1 s3w   Y  t t ttd W d    n1 sOw   Y  t t ttd W d    n1 skw   Y  t t ttddd W d    n1 sw   Y  t t ttddd W d    n1 sw   Y  t t ttddd W d    n1 sw   Y  t t t	td W d    n1 sw   Y  t t t
tdd W d    n1 sw   Y  t t ttdd W d    n	1 sw   Y  t t ttdd	 W d    n	1 s:w   Y  t t ttdd	 W d    n	1 sXw   Y  t t ttd
d	 W d    n	1 svw   Y  t t ttd
tdd W d    n	1 sw   Y  t t ttd
tdd W d    n	1 sw   Y  t t ttd
tdd W d    d S 1 sw   Y  d S )N)r   rC   r.   )matrixr'   r,   )r   r8   rC   rC   )rC   r   r   )r(   rC   )r   r7   rC   )r   r   r   r   r9   zerosr   r   r   r   r   r   rY   r!   r!   r!   r"   test_invalid_input  sx   


$r   c                  C   s  t d } }t }|| |rJ t t |jsJ t }|| |r(J t t |js3J t }|| |r>J t t |jsIJ t	 }|| |rTJ t t |js_J t	 }t
dD ]/}t jddd } t jddd }t j | d d df< || |rt |j sJ qft g dg dg dg} t g d	g d	g d
g}t }|| |rJ t t |jsJ t g dg dg dg dg dg dg dg dg dg	} t g dg dg dg dg dg dg dg dg dg	}t }|| |rJ t t |jd js#J t|jD ]\}}|dkr=t t |jr=J q(|jD ]}t t |jrPJ qBd S )N)r+   r   r   rj   r   r   r.   )r   r   r   )r   rj   r   ra   )r   rC   r   )r         )r   r   r   )   r   r   )r   @   r   )r   r   r   )r   r   r   )r   r   r   )r   r   r   )r         )r   r   r   )r   ir   )r      r   )r   r   r   )r   r   r   )r   r   r   )r   r   r   )r9   r   r   r2   r   isnanr)   r   r   r   r   r   r   r   r@   asarrayr   affines	enumerateinverse_affines)rR   rS   r    r   idxr   r!   r!   r"   test_degenerate  sV    

r   c                  C   sj   t ddggd } t| \}}t t |sJ t t |s$J |jdks+J |j| jks3J dS )z?Return nan matrix *of appropriate size* when point is repeated.gYi[R@gW@rC   r   N)r9   r@   r   r   r   rp   )ptsmatpts_tfr!   r!   r"    test_normalize_degenerate_pointsB  s   r   c                  C   sX   t  } ttd d td }|dd}|dd}t|t| s*J d S )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replacematchreprr    wantr!   r!   r"   test_projective_reprM  s   	r   c                  C   sR   t  } ttd }|dd}|dd}t| t|t	| s'J d S )Nz
        <ProjectiveTransform(matrix=
            [[1., 0., 0.],
             [0., 1., 0.],
             [0., 0., 1.]])>
        r   r   r   r   )
r   r   r   r   r   r   r   printr   strr   r!   r!   r"   test_projective_str]  s   	r   c           	      C   s   t | || d }t| jjD ]-}dD ](}t | j}|j|  |7  < | j|d}t ||| d }||ks=J qqd S )Nr   )gMbP?gMbPr   )r9   sumr   r)   sizecopyflatr   )	tfrR   rS   baseliner   updater)   new_tfnew_ssqr!   r!   r"   _assert_least_squaresn  s   r   c                  C   s   d} t jd| fdt dd|    }t g dg dg dg dg}t|d	}||}|t jd| f }t| d
}|||sEJ t|jd d d df |d d d df dd t|jd d df |d d df dd t||| d S )NrC      r      )g333333@r$   g?r   )        r=   r$      )r   r   r=   )r   r   r   r=   r   dimensionalityr>   rm   r   )	r9   r   rq   r@   r   r2   r   r)   r   )ndimrR   r   r   rS   	dst_noisytf2r!   r!   r"   test_estimate_affine_3dy  s"   $

0(r   c                  C   sr   t t tdd} W d    n1 sw   Y  t t ttd} W d    d S 1 s2w   Y  d S )NrC   r   rj   )r   r   r   r   r9   rY   _r!   r!   r"   #test_fundamental_3d_not_implemented  s   "r   c                  C   s@   t d} t| }tt ||  tt j|td| t d S )Nrj   )dtype)r9   rY   r   r   r@   intastype)r   r   r!   r!   r"   test_array_protocol  s   
r   c                  C   s   t jt jdt ddd  fdd} | d d  }t|}t|d}tt ||  t	
t t|d d }W d    n1 sEw   Y  t	
t t|d d d}W d    d S 1 sdw   Y  d S )N)rC   rj   rj   r>   r   )axisr   )r9   concatenater   rY   ravelr   r   r   r@   r   r   r   )r   v
mat_from_vr   r   r!   r!   r"   0test_affine_transform_from_linearized_parameters  s   
"r   c                  C   s<   t t tddd} W d    d S 1 sw   Y  d S )Nr   rC   r'   r   )r   r   r   r   r   r!   r!   r"   test_affine_params_nD_error  r   r   c                  C   s<   g d} t g d}g d}t|}t||  |dd d S )N)r   r+   r   )Z   -   r   )r   gffffff@r.   rm   )r9   radiansr   r   )r   anglesexpectedRr!   r!   r"   test_euler_rotation  s
   r   c                  C   s   t dd} t| d dksJ t ddd} tt| g dg d	f d tt t d
dd}W d    n1 s<w   Y  tt t ddd}W d    n1 sWw   Y  t tjtd dd} tt| d ddf d d S )N)r   r   )r8   r/   r   )rj   r   	   rC   r8   r   )r   r   r.   r.   r   r   )r.   r   r   r   r   r.   )r   rN   r      rj   )rj   r   r(   r   r>   )	r   r9   r@   r   r   r   r   r:   rq   )r   r   r!   r!   r"   test_euclidean_param_defaults  s   
  r   c                  C   s`   t t tddd} W d    n1 sw   Y  tddd}t|g dgg dg d S )N)rj   r   rN   r   rj   r   rC   r   )r.   r.   r.   )rj   rj   rj   )r   r   r   r   r   r   r   r!   r!   r"    test_similarity_transform_params  s
   r   c                  C   sB   t jdd t j t j } t| dd}t| dd}t|| d S )Nr   r   rC   r   )r9   r   r:   r   r   r   )r   euclidsimilarr!   r!   r"   test_euler_angle_consistency  s   r   c                  C   s   t t tdd} W d    n1 sw   Y  tdd}t t |j} W d    n1 s2w   Y  t t |j} W d    d S 1 sKw   Y  d S )NrC   r   )r   r   r   r   r   r(   rF   r   r!   r!   r"   test_2D_only_implementations  s   
"r   )Ir   r   numpyr9   r   numpy.testingr   r   r   skimage.transform._geometricr   r   r   r   skimage.transformr	   r
   r   r   r   r   r   r   r   r   r@   r   r   r#   r*   r6   r;   r<   rA   rD   rG   rI   rU   r\   r_   rb   rc   re   rg   rh   ri   rk   rv   rx   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"   <module>   s    0
3
	
*<