U
    hL                     @   sl  d dl Zd dlZd dlmZ d dlmZ d dlmZm	Z	m
Z
mZmZ d dlmZmZmZmZ d dlmZ d dlm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d 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*d+ Z'eed,d-d.d/ Z(d0d1 Z)d2d3 Z*d4d5 Z+d6d7 Z,d8d9 Z-d:d; Z.d<d= Z/d>d? Z0d@dA Z1dBdC Z2dS )D    N)testing)expected_warnings)arch32assert_almost_equalassert_array_lessassert_equalxfail)CircleModelEllipseModelLineModelNDransac)_dynamic_max_trials)AffineTransformc                  C   s6   t  } d| _tdd}| |}t|| | d S )N))r   r   )   r   
   )r   paramsnparange	predict_yr   	predict_xmodelxy r   B/tmp/pip-unpacked-wheel-gtraehzf/skimage/measure/tests/test_fit.pytest_line_model_predict   s
    
r   c                	   C   s2  t t t td W 5 Q R X t t t td W 5 Q R X t t  t tdtd W 5 Q R X t t t td W 5 Q R X t t  t tdtd W 5 Q R X t t	drt
t t	drt
t t t t	d W 5 Q R X d S )Nr   )r      )r      )r   raises
ValueErrorr   r   r   zerosr   estimateemptyAssertionError	residualsr   r   r   r    test_line_model_nd_invalid_input   s    $$r'   c                  C   sN   t  } tddgtddgf| _tdd}| |}t|| | d S )Nr   g?g?r   r   )r   r   arrayr   r   r   r   r   r   r   r   r   test_line_model_nd_predict+   s
    
r)   c                  C   s  t  } tjdddgddtjdddgddtd f| _| jd dtddd	tjf  | jd   }tjd
}||j	|j
d }t  }|| ttjt| jd |jd dd |jd | jd  }tj|dkr|tj| }ttjt| jd |dd d S )Nr   floatZdtyper   r   r   d   .  size)r   r   r(   sqrtr   r   Znewaxisrandomdefault_rngnormalshaper#   r   ZlinalgZnormZcross)model0data0rngdata	model_estar   r   r   test_line_model_nd_estimate3   s*    "
 r<   c               	   C   s   t  } tdddgtdddgf| _tt| tdddggd tt| tdddggd tt| tdddggd tdddgg}tdddgtdddgf}tt| j||dd d S )Nr   r   r   r   r      )r   r   r(   r   r   absr&   )r   r9   r   r   r   r   test_line_model_nd_residualsS   s    """" r@   c                	   C   s,   t t t td W 5 Q R X d S N)   r   )r   r    r!   r	   r#   r   r$   r   r   r   r   test_circle_model_invalid_inputa   s    rC   c                  C   sN   t  } d}dd|f| _tddtj tjd }td}t|| | d S )NrB   r   r   )rB   r   )r   rB   r   )r   rF   )r	   r   r   r   pir(   r   
predict_xy)r   rtxyr   r   r   test_circle_model_predictf   s    
rL   c                  C   sl   t  } d| _tddtj d}| |}tjd}||j|j	d }t  }|
| t| j|jd d S )Nr      r   r   r     r.   r/   )r	   r   r   linspacerG   rH   r2   r3   r4   r5   r#   r   )r6   rJ   r7   r8   r9   r:   r   r   r   test_circle_model_estimatep   s    

rQ   c                  C   sV   t jddgddgddgddggt jd} | d7 } t }||  t|jdddg d S )Nr   r   r+   i  )r   r(   int32r	   r#   r   r   )rK   r   r   r   r   test_circle_model_int_overflow   s
    (
rT   c                  C   sz   t  } d| _tt| tddggd tt| tddggtdd  tt| tddggd d S )N)r   r   rB   rB   r      H   r   )r	   r   r   r?   r&   r   r(   r1   r   r   r   r   test_circle_model_residuals   s     rX   c               	   C   s   t  } dg}t|" | tddgddgg W 5 Q R X t|( | tddgddgddgg W 5 Q R X d}tjt|d}| td	rt	W 5 Q R X t
|dkst	|d jtkst	d S )
Nz6Input does not contain enough significant data points.r   r   r      r   zUStandard deviation of data is too small to estimate circle with meaningful precision.matchrU   r   )r	   r   r#   r   r(   pytestwarnsRuntimeWarningonesr%   lenfilename__file__r   Zwarning_message	_warningsr   r   r   #test_circle_model_insufficient_data   s    
&
,rf   c                  C   sz   t jdddgt jd} t jddddd	d
ddddddgt jd}t j|| d}t }||t jsjtt| |j	 d S )Ngu`D-g?jS-gJ%H+r+   1Zd??5^I?|?5^?m?|?5^@羟/$@X9v	@獗n@\(\@?5^I@^I+@uV@r=   )
r   r(   float64r	   rH   r#   astyper%   r   r   r   Zanglesr9   r   r   r   r   0test_circle_model_estimate_from_small_scale_data   s*              rv   c                	   C   s,   t t t td W 5 Q R X d S rA   )r   r    r!   r
   r#   r   r$   r   r   r   r    test_ellipse_model_invalid_input   s    rw   c                  C   sD   t  } d| _tddtj tjd }td}t|| | d S )N)r   r   rB   r   r   r   r   )rD   )r   r   rE   )r   r   )r
   r   r   r   rG   r(   r   rH   )r   rJ   rK   r   r   r   test_ellipse_model_predict   s
    
rx   c            	      C   s   t dddD ]} t| }t }dddd|f|_tddtj d}||}tj	d	}||j
|jd
 }t }|| t|jd d |jd d d ||}t|t|j qd S )Nr         r         r   r-   r.   r/   )ranger   deg2radr
   r   rP   rG   rH   r2   r3   r4   r5   r#   r   r&   r   r`   )	angleZradr6   rJ   r7   r8   r9   r:   resr   r   r   test_ellipse_model_estimate   s    


 
r   c                  C   s   t dddD ]} t | }t |}t |}t || g||gg}t ddt j d}d}d}t |t | |t | g}|| }t }	|		|j
 |	j\}
}
}}}t|| t|| t|| qdS )	z-The fit should be modified so that a > b
    r      r   r   r{   r-   2   N)r   r   r~   cossinr(   rP   rG   r
   r#   Tr   r   )r   thetacsRrJ   r;   bZpointsZellipse_model_Za_primeZb_primeZtheta_primer   r   r    test_ellipse_parameter_stability   s&    


"

r   c                  C   s  t jddgddgddgddgd	d
gddgddgddgddgddgddgddgddgddgddgddgddgddgd d!gd"dgd#d$gd%d&gd'd!gd'd&gd(d&gd)d*gd+dgd,dgd-dgd.d/gd0dgd0dgd1d2gd1d3gd4d5gd4d6gd7d8gd9dgd:d;gd<d=gd>d?gd@d
gdAdBgdCdDgdEdFgdGdHgdIdJgdIdKgdLdMgdLdNgdOdPgdQdRgdSdTgdUdVgdUdMgdWdXgdWdYgdZdMgd[d\gdZdHgdZd]gd[dgd^d_gd`dagdbdcgdddegdddfgdbdggdbdgdddgd`dhgdid]gdjdkgdldmgdldgdndogdpdqgdrdsgdtdugdndJgdrdgdvd
gdwdqgdxdHgdydzgdwd{gd|d}gdxd~gddgddgddKgdd5gddsgdd$gddgddgddgddgddgddegddgddgddgddgddgddgddgddgddgddgddcgddgddgddgddgddgddsgddggddgddgddegddgddgddgddgddXgddNgddgddgddgddgddgddgddgddgddggt jd} t }||  t|jd d t dd tt dt 	|jd d  d S )Ni  iV  i	  ik  i  i_  i  iY  i  i  i  i  i1  i  iD  i  iO  i  iP  iY  i  ib  i  ic  i  il  i  im  i  iw  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i  iW  i  iL  iu  i  iM  ii  i  is  i!  ij  i  i`  i)  ia  i*  i9  iC  i3  i5  i:  i  i=  i
  i<  i/  i>  i$  i?  i  i  i  i  iF  iC  i  iG  i%  iJ  i  iH  i8  iI  i  iE  i  iK  iR  iQ  iN  i{  i  iT  i  i  i[  i  i\  i  i]  i^  i  ie  i"  i  ig  i  ii  io  i  ip  i  iq  i  iy  i  i  i  i  iz  i  i{  i  i  i}  i  i  i  i  i  i  i  i  i  i  i  i  i  i  i)  i  i  i  i  i  i  i+  i  i  i  i  i  io  r+   rY   rO   )
r   r(   rS   r
   r#   r   r   fullr"   r?   )r9   r   r   r   r   %test_ellipse_model_estimate_from_data   s                                                                                                                     
r   c                  C   s~   t jdddddgt jd} t jdddd	d
dddddddgt jd}t j|| d}t }||t jsntt| |j	 d S )Ng    .Ag    >A      ?g?r+   rg   rh   ri   rj   rk   rl   rm   rn   ro   rp   rq   rr   r=   )
r   r(   rs   r
   rH   r#   rt   r%   r   r   ru   r   r   r   1test_ellipse_model_estimate_from_far_shifted_data"  s*              r   zKnown test failure on 32-bit platforms. See links for details: https://github.com/scikit-image/scikit-image/issues/3091 https://github.com/scikit-image/scikit-image/issues/2670)	conditionreasonc               	   C   s   t  } d}tjt|d}| tdr.tW 5 Q R X t|dksHt|d j	t
ksZt| tddgdd	gd
dggrtd S )NzVStandard deviation of data is too small to estimate ellipse with meaningful precision.rZ   r\   r   r   r   P   3   Q   4   )r
   r]   r^   r_   r#   r   r`   r%   ra   rb   rc   r(   rd   r   r   r   #test_ellipse_model_estimate_failers0  s    r   c                  C   sp   t  } d| _tt| tddggd tt| tddggd tt| tddggd d S )N)r   r   r   rB   r   r   r   rB   )r
   r   r   r?   r&   r   r(   rW   r   r   r   test_ellipse_model_residualsE  s
      r   c               	   C   s   t  } d| _tddtj d}| |}d}d||d d d f< d||d d d f< d	||d d d f< t|t d
ddd\}}tdg t|t d
ddd W 5 Q R X t| j|j |D ]}||kst	qd S )NrM   r   r   rO   )r   r>      )rO   rO   )ir   r   )r,   r   r   rB   r8   z'`random_state` is a deprecated argument)Zrandom_state)
r	   r   r   rP   rG   rH   r   r   r   r%   )r6   rJ   r7   outliersr:   inliersZoutlierr   r   r   test_ransac_shapeN  s    
r   c                  C   s   t jd} d| d }tdddd}||}d}d	||d
 < d||d < d||d < t||ftdd| d\}}t|j|j t t |dkd
 |kst	d S )Ni̼ r-   )r   r   )r   333333?r   )r   r{   )ZscaleZrotationtranslation)r   rB   r{   )'  r   r   )r,   r-   )r   r   r   r{   r   F)
r   r2   r3   r   r   r   r   allZnonzeror%   )r8   srcr6   dstr   r:   r   r   r   r   test_ransac_geometricf  s    
r   c               	   C   sV   dd } t dg& ttdtdtj| dd\}}W 5 Q R X t|d  t|d  d S )Nc                 S   s   | j d dkS )Nr   r   )r5   )r9   r   r   r   is_data_valid  s    z0test_ransac_is_data_valid.<locals>.is_data_validNo inliers foundr   r   r   r   )r   r8   r   r   r   r$   r   infr   )r   r   r   r   r   r   test_ransac_is_data_valid~  s     
r   c               	   C   sV   dd } t dg& ttdtdtj| dd\}}W 5 Q R X t|d  t|d  d S )Nc                 S   s   dS )NFr   )r   r9   r   r   r   is_model_valid  s    z2test_ransac_is_model_valid.<locals>.is_model_validr   r   r   r   )r   r8   r   )r   r   r   r   r   r   test_ransac_is_model_valid  s     
r   c                   C   s  t tddddd t tddddd t tddddd t tddddd t tddddd t tddddd	 t td
dddd t td
dddd t tddddd t tddddd t tddddd t tddddd t tddddd t tddddd t td
dddd t td
dddd t tddddd t tddddd t tddddd t tddddd d S )Nr-   r   gGz?r   _      Z   r      F      6   r      ~      rB   "   	   A   N   i`  i  i#  r   l   aWO)r   r   r   r   r   r   test_ransac_dynamic_max_trials  s(    r   c                	   C   s>  t t ttdd ddd W 5 Q R X t t ttdd dddd W 5 Q R X t t ttdd dddd W 5 Q R X t t ttdd ddd	d W 5 Q R X t t ttdd ddd W 5 Q R X t t ttdd d
dd W 5 Q R X t t ttdd ddd W 5 Q R X d S )Nr   r   g      )min_samplesresidual_thresholdr   rR   r   r   
max_trials)r   r   Zstop_probabilityg)\(?   )r   r    r!   r   r   r"   r   r   r   r   test_ransac_invalid_input  s>       r   c               	   C   sD   G dd d} t d}tdg t|| dddd W 5 Q R X d S )	Nc                   @   s    e Zd ZdZdd Zdd ZdS )z1test_ransac_sample_duplicates.<locals>.DummyModelz$Dummy model to check for duplicates.c                 S   s   t t|j|j dS )NT)r   r   uniquer0   selfr9   r   r   r   r#     s    z:test_ransac_sample_duplicates.<locals>.DummyModel.estimatec                 S   s   t jt|t jdS )Nr+   )r   r`   ra   rs   r   r   r   r   r&     s    z;test_ransac_sample_duplicates.<locals>.DummyModel.residualsN)__name__
__module____qualname____doc__r#   r&   r   r   r   r   
DummyModel  s   r   rY   r   r   g        r   r   )r   r   r   r   )r   r9   r   r   r   test_ransac_sample_duplicates  s    

r   c               	   C   sV   t jdd} tdg t| tdddd\}}W 5 Q R X |d ksFt|d ksRtd S )NrB   r   z"No inliers found. Model not fittedr   r   i> )Zmodel_classr   r   r8   )r   r2   randr   r   r   r%   )r9   r   r   r   r   r   !test_ransac_with_no_final_inliers  s     r   c               
   C   st   t ddd} tjd}tdddgdddgd|dd d	 }td
g t|tdddd| d W 5 Q R X dS )zExample from GH issue #5572)returnc              	   W   s0   t tt| jd dddg}|dtj kS )zIAllow models with a maximum of 10 degree tilt from the vertical

        r   r   gqq?)r?   r   Zarccosdotr   rG   )r   Zrandom_dataZtiltr   r   r   r     s    "z8test_ransac_non_valid_best_model.<locals>.is_model_validr   r   r   rO   r   r   zEstimated model is not validr   r   )r   r   r   r8   r   N)	boolr   r2   ZRandomStaterP   r   r   r   r   )r   r8   r9   r   r   r    test_ransac_non_valid_best_model  s    *  r   )3Znumpyr   r]   Zskimage._sharedr   Zskimage._shared._warningsr   Zskimage._shared.testingr   r   r   r   r   Zskimage.measurer	   r
   r   r   Zskimage.measure.fitr   Zskimage.transformr   r   r'   r)   r<   r@   rC   rL   rQ   rT   rX   rf   rv   rw   rx   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   <module>   sN    

		&
	

)	