o
    ity                    @   s  d Z ddlZddlZddlZddlmZmZmZm	Z	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ZddlZd	Zzdd
lmZ W n ey[   dZY nw d	ZzddlZddl m!Z" W n eyu   dZY nw dd Z#dd Z$dd Z%dd Z&		dhddZ'dd Z(dd Z)diddZ*dd Z+djd#d$Z,d%d& Z-d'd( Z.d)d* Z/d+d, Z0d-d. Z1d/d0 Z2dZ3dZ4dZ5dZ6dZ7G d1d2 d2Z8ej9:d3G d4d5 d5e8Z;ej9:d3G d6d7 d7e8Z<ej9:d3G d8d9 d9e8Z=G d:d; d;e8Z>G d<d= d=e;Z?G d>d? d?e;Z@G d@dA dAe;ZAG dBdC dCe<ZBer)G dDdE dEe<ZCer4G dFdG dGe<ZDG dHdI dIe<ZEG dJdK dKe<ZFej9:d3G dLdM dMZGG dNdO dOe=ZHG dPdQ dQe=ZIG dRdS dSe>ZJG dTdU dUe>ZKG dVdW dWZLej9:d3G dXdY dYZMG dZd[ d[eMZNG d\d] d]eMZOG d^d_ d_eMZPej9:d3G d`da daZQG dbdc dceQZRG ddde deeQZSG dfdg dgeQZTdS )kz"
Unit test for Linear Programming
    N)assert_assert_allcloseassert_equalassert_array_lessassert_warnssuppress_warnings)raises)linprogOptimizeWarning)approx_derivative)MatrixRankWarning)LinAlgWarningT)UmfpackWarningF)choleskyc                 C   s0   t | j d t | j|k d t| jdd d S )NIncorrectly reported successz)Incorrectly reported number of iterations   z(Failed to report iteration limit reachedr   successr   status)resmaxiter r   p/var/www/html/eduruby.in/lip-sync/lip-sync-env/lib/python3.10/site-packages/scipy/optimize/tests/test_linprog.py_assert_iteration_limit_reached    s   r   c                 C       t | j d t| jdd d S )Nincorrectly reported success   z"failed to report infeasible statusr   r   r   r   r   _assert_infeasible&      r   c                 C   r   )Nr      z!failed to report unbounded statusr   r   r   r   r   _assert_unbounded,   r   r!   c                 C   s"   t | j d t | jdv d d S )Nr   r      z%failed to report optimization failure)r   r   r   r   r   r   r   )_assert_unable_to_find_basic_feasible_sol2   s   r$   :0yE>c                 C   sj   | j sd| j| j}t|t| jd |d ur#t| j|d||d |d ur3t| j|d||d d S d S )Nzlinprog status {}, message: {}r   z*converged to an unexpected objective valueerr_msgrtolatolz#converged to an unexpected solution)	r   formatr   messageAssertionErrorr   r   funx)r   desired_fun	desired_xr(   r)   msgr   r   r   _assert_success<   s"   
r2   c                 C   s  t jd | | d d  d }t | d | d  d }|| d | | }t | d | | f}g }g }t| d D ]}| }d||ddddf< ||	  |d q:t| D ]"}t| D ]}| }d|dd||f< ||	  |d qbq\t| D ]&}| }|dd|ddf |dd|ddf< ||	  || qt| D ]&}| }|dddd|f |dddd|f< ||	  || q| }|ddt| t| f |ddt| t| f< ||	  || | }|ddt| td|  d df |ddt| td|  d df< ||	  || t j
t |td}	t j
|td}
t j|	jd }|	|
|||fS )z
    Generates a linear program for which integer solutions represent an
    n x n magic square; binary decision variables represent the presence
    (or absence) of an integer 1 to n^2 in each position of the square.
    r   r   r   r#   NZdtype)nprandomseedarangereshapezerosrangecopyappendflattenarrayvstackfloatrandshape)nMnumbersr:   ZA_listZb_listiZA_rowjAbcr   r   r   magic_squareQ   sT   ((0
""
rL   c                 C   s   t jd t jj| |fd }t | | | f}t | }t| D ]}|d }d|||| || f< ||  ||< q"t || | f}t |}t|D ]}|d }d|||d|f< d||< qMt ||f}	t ||f}
|	|
| fS )z -> A b c LP test: m*n vars, m+n constraints
        row sums == n/m, col sums == 1
        https://gist.github.com/denis-bz/8647461
    r   sizer   N)	r5   r6   r7   Zexponentialr:   r;   r@   ZhstackZravel)mrD   rK   ZArowZbrowrH   Zj1ZAcolZbcolrI   rJ   r   r   r   lpgen_2d   s"   


rP   c                 C   s   t j|  d\}}}t j|d }t j||d }t j|d }t j||d }t j|d }t j| }	t j|}
t j |	|	t j  k < t j|
|
t j k< t |	|
fj}||||||fS )N)
      2         ?)r5   r6   r7   rB   infr@   T)r7   Zm_eqZm_ubrD   rK   A_ubb_ubA_eqb_eqlbubboundsr   r   r   very_random_gen   s   
r^   c                  C   sZ   g d} g dg dg dg dg}g d}g dg}dg}g d	}d
}| ||||||fS )N)r3      r#   )ra      	   )r   r3   r   )rQ   ra      )rb   r3   r    r#   )rd   rb   r`   rb   )re   r   r   )gk椀?gs?r   gkL?gqY:^@r   )rK   rW   rX   rY   rZ   x_starf_starr   r   r   nontrivial_problem   s   
rk   r_   rc   d   c                 C   sn  t j|  t jjdd||fd}t j|}t jjdd||fd}|||  t jjdd|d }t || }d|d|< tjd| || f}	d}
t	|D ]<}||dd|f  |	|
d|f< d|	|
|| f< d| |dd|f  |	|
d d|f< d|	|
d || f< |
d7 }
qP|	
 }	t d| }||ddd< | |ddd< dg| d	g|  }||	||fS )
z
    Training data is {(x0, y0), (x1, y2), ..., (xn-1, yn-1)}
        x in R^d
        y in R
    n: number of training samples
    d: dimension of x, i.e. x in R^d
    phi: feature map R^d -> R^m
    m: dimension of feature space
    r   r   rM   h㈵>Nr   r3   NNr   N)r5   r6   r7   normalrandnonesscipysparseZ
lil_matrixr;   Ztocscr:   )r7   rO   drD   phiZw_truer.   yrK   rW   idxiirX   bndsr   r   r   l1_regression_prob   s*   
 (
r{   c                    s   i   fdd}t ddg}ddgddgddgg}g d}t||||| jd	}t|d
ddgd t d |d  t d |d  t d |d  t d |d  d S )Nc                    s   |  d}|  d}t|  ddv  t|  dtdv  tt|  dt tt|t tt|t | d  d< | d	  d	< | d
  d
< | d  d< d S )Nr+   completeZphaser   r   r   r#   nitr.   r-   slackcon)popr   r;   
isinstanceintboolstr)r   r+   r|   Zlast_cbr   r   cb   s   

z!generic_callback_test.<locals>.cbrd   r   r   r   rQ   r_   r#   rW   rX   callbackmethod      2rb   r/   r0   r-   r.   r   r   )r5   r?   r	   r   r2   r   selfr   rK   rW   rX   r   r   r   r   generic_callback_test   s   r   c                  C   s   t ddg} ddgddgddgg}g d}ttt| ||dd ttt| ||d	d d
}tjt|d t| ||ddid W d    d S 1 sIw   Y  d S )Nrd   r   r   r   r   r   ekki-ekki-ekkirW   rX   r   z
highs-ekkiz>Unrecognized options detected: {'rr_method': 'ekki-ekki-ekki'}match	rr_methodrW   rX   options)r5   r?   assert_raises
ValueErrorr	   pytestwarnsr
   )rK   rW   rX   r+   r   r   r    test_unknown_solvers_and_options  s   "r   c                  C   sR   t ddg} ddgddgddgg}g d}t| ||dd}t|d	dd
gd d S )Nrd   r   r   r   r   r   highsr   r   rb   r   )r5   r?   r	   r2   )rK   rW   rX   r   r   r   r   test_choose_solver  s
   r   c                   C   s   t t tddd W d    n1 sw   Y  t t tddd W d    n1 s1w   Y  t t tddd W d    d S 1 sMw   Y  d S )Nr   interior-pointr   revised simplexsimplex)r   r   DeprecationWarningr	   r   r   r   r   test_deprecation'  s   "r   c               	   C   s  t ddd} d}| jdksJ | j|sJ td\}}}}}dgt| }dgt| }dd	i}	t ||||d|	|d
} d}| jdksFJ | j|sNJ ddi}	t ||||d|	d} d}| jdkseJ | j|smJ t dddd} d}| jdks}J | j|sJ t ddd} d}| jdksJ | j|sJ ddlm}
 |
dd\}}d}|dksJ ||sJ |
d d \}}d}|dksJ ||sJ d S )Nr   r   r   z6Optimization terminated successfully. (HiGHS Status 7:r   rb   r   r   
time_limit皙?)rK   rY   rZ   r]   r   r   integralityz%Time limit reached. (HiGHS Status 13:r   rQ   highs-dsrK   rY   rZ   r]   r   r   z*Iteration limit reached. (HiGHS Status 14:)r   r3   )r]   r   z+The problem is infeasible. (HiGHS Status 8:r   r3   z+The problem is unbounded. (HiGHS Status 10:r    )_highs_to_scipy_status_message:   zHello!z;The HiGHS status code was not recognized. (HiGHS Status 58:r#   z>HiGHS did not provide a status code. (HiGHS Status None: None))r	   r   r+   
startswithrL   lenZscipy.optimize._linprog_highsr   )r   r1   rI   rJ   rK   rF   rE   r]   r   r   r   r   r+   r   r   r   test_highs_status_message0  sL   r   c                   C   s$   t ddgddggdgddgd d S )Nr   r3   r         )rW   rX   r   )r	   r   r   r   r   test_bug_17380]  s   $r   c                   @   s  e Zd ZdZdd Zdd Zdd Zdd	 Zd
d Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zd d! Zd"d# Zd$d% Zd&d' Zd(d) Zd*d+ Zd,d- Zd.d/ Zd0d1 Zd2d3 Zd4d5 Zd6d7 Zd8d9 Zd:d; Z d<d= Z!d>d? Z"d@dA Z#dBdC Z$dDdE Z%dFdG Z&dHdI Z'dJdK Z(dLdM Z)dNdO Z*dPdQ Z+dRdS Z,dTdU Z-dVdW Z.dXdY Z/dZd[ Z0d\d] Z1d^d_ Z2d`da Z3dbdc Z4ddde Z5dfdg Z6dhdi Z7djdk Z8dldm Z9dndo Z:dpdq Z;drds Z<dtdu Z=dvdw Z>dxdy Z?dzd{ Z@d|d} ZAd~d ZBdd ZCdd ZDdd ZEdd ZFdd ZGdd ZHdd ZIdd ZJdd ZKdd ZLdd ZMdd ZNdd ZOePjQjReSjTdkdddd ZUdS )LinprogCommonTestsa  
    Base class for `linprog` tests. Generally, each test will be performed
    once for every derived class of LinprogCommonTests, each of which will
    typically change self.options and/or self.method. Effectively, these tests
    are run for many combination of method (simplex, revised simplex, and
    interior point) and options (such as pivoting rule or sparse treatment).
    c                 C   s   t |  d S N)r   r   r   r   r   test_callbacky  s   z LinprogCommonTests.test_callbackc                 C   8   t dd\}}}t|||| jddid}t|dd d S )NrR   dispTrW   rX   r   r   T*Pr/   rP   r	   r   r2   r   rI   rJ   rK   r   r   r   r   	test_disp|  
   zLinprogCommonTests.test_dispc                 C   sT   ddg}ddgddgg}ddg}d}d}t |||||f| j| jd	}t|d
d d S )Nr3   r#   rd   r   r   rb   rn   rd   N)rW   rX   r]   r   r   r   )r	   r   r   r2   )r   rK   rI   rJ   	x0_bounds	x1_boundsr   r   r   r   test_docstring_example  s   z)LinprogCommonTests.test_docstring_examplec              	   C   s0   dg}dgg}d}t tt|||| j| jd d S )Nr   ZhellorY   rZ   r   r   )r   	TypeErrorr	   r   r   )r   rK   rY   rZ   r   r   r   test_type_error  s   
z"LinprogCommonTests.test_type_errorc              
   C   sr   t dg}t dgg}t dg}| }dt jf}t|||tt|| j| jd}t	|ddgd t
|| d S )N      ?      @      r   r   rh   r   )r5   r?   r<   rU   r	   rY   rZ   r   r   r2   r   )r   rK   rW   Z	b_ub_origrX   r]   r   r   r   r   test_aliasing_b_ub     
z%LinprogCommonTests.test_aliasing_b_ubc              
   C   sr   t dg}t dgg}t dg}| }dt jf}t|tt|||| j| jd}t	|ddgd t
|| d S )Nr   r   r   r   r    r   )r5   r?   r<   rU   r	   rW   rX   r   r   r2   r   )r   rK   rY   Z	b_eq_origrZ   r]   r   r   r   r   test_aliasing_b_eq  r   z%LinprogCommonTests.test_aliasing_b_eqc              
   C   sV   dg}dgg}dg}dgg}dg}d}t ||||||| j| jd}t|ddgd d S )Nr   r   g       @)            $@r   r   r   )r	   r   r   r2   r   rK   rW   rX   rY   rZ   r]   r   r   r   r   test_non_ndarray_args  s   z(LinprogCommonTests.test_non_ndarray_argsc                    sz   t ddg}ddgddgddgg}g d}d d d d d i f fdd	} fd	d
 jD }d|d< tt|||||d d S )Nrd   r   r   r   r   r   c              
      s   t | ||||| j|d d S Nr   r	   r   )rK   rW   rX   rY   rZ   r]   r   r   r   r   f  s   
z2LinprogCommonTests.test_unknown_options.<locals>.fc                       i | ]}| j | qS r   r   .0keyr   r   r   
<dictcomp>      z;LinprogCommonTests.test_unknown_options.<locals>.<dictcomp>*   Zspamr   )r5   r?   r   r   r
   )r   rK   rW   rX   r   or   r   r   test_unknown_options  s   
z'LinprogCommonTests.test_unknown_optionsc              	   C   s   t ddgddgddgg}t g d}t ddg }dt jfgt| }dgt| }t jt t||||| j|d}W d    n1 sJw   Y  t j	|j
dd	g t j	|jd
 d S )Nr3   r   r    r   r      r   r   rK   rW   rX   r]   r   r   ?ffffff@ffffff)r5   r?   rU   r   testingr   r
   r	   r   r   r.   r-   r   rW   rX   rK   r]   r   r   r   r   r   test_integrality_without_highs  s   
z1LinprogCommonTests.test_integrality_without_highsc                    sV  d fdd	}t t|g dddgd tj }|tjd t t|g dg dd W d    n1 s6w   Y  t t|g dd	dgd t t|d
dgd
dggd
dgd t t|d
dgd
ggd
gd t t|d
dgd
dggd
dgd t t|d
dgd
ggd
gd t t|d
dgd
gd
d d jv r jd rd S t t|d
dgtdd
d d S )Nc              
          t | ||||| j jd d S r   r	   r   r   rK   rW   rX   rY   rZ   r]   r   r   r   r        
z1LinprogCommonTests.test_invalid_inputs.<locals>.fr   r   r    r}   r    r#   r]   zCreating an ndarray from ragged)r}   r   )r    r#      r   r   r   r   )rW   rX   )rY   rZ   _sparse_presolve)r   r   r    )rW   rZ   NNNNN)	r   r   r5   r   r   filterZVisibleDeprecationWarningr   r:   )r   r   supr   r   r   test_invalid_inputs  s"     
 z&LinprogCommonTests.test_invalid_inputsc              	      s  d fdd	}t jd d}d}tj||d}t j|}t j|}|t j| }|t j| }t ||f}	|| }
 jdv rot	t
d j d	d
 t|||
|	 j jd W d    d S 1 shw   Y  d S i  j} jdv r}d|d< t|||
|	 j|d}|jsJ d S )Nc              
      r   r   r   r   r   r   r   r     r   z5LinprogCommonTests.test_sparse_constraints.<locals>.fr   rl      rT   >   r   r   zMethod 'z.' does not support sparse constraint matrices.r   r   >   r   Trt   r   )r5   r6   r7   rs   rt   rB   rq   Zcolumn_stackr   r   r   r	   r   r   )r   r   rO   rD   rY   Zx_validrK   r\   r[   r]   rZ   r   r   r   r   r   test_sparse_constraints  s0   

"


z*LinprogCommonTests.test_sparse_constraintsc                 C   sh   g d}g dg dg dg}g d}t jd d}t|||| jd|id	}t|| t|j| d S )
Nr#   r_   r    r   r   r   r   r   r    r3   r   r   r          @r_   r   r3   r   r_   rQ   r#   r   r   r3         iX  r   r    r   r   )r5   r6   r7   r	   r   r   r   r~   )r   rK   rI   rJ   r   r   r   r   r   test_maxiter  s   
zLinprogCommonTests.test_maxiterc                 C   s  | j dd}tdgd| j| j d}t|dd |r t|jd tg dg d| j| j d}t|d	g d
 |r>t|jd tddgddg| j| j d}t|dddg |r\t|jd tg dg dg dgddgg d| j| j d}t|dg d |rt|jd d S d S )NpresolveTr   )r   r   r]   r   r   r   r   ))r   r   )r3   r3   )r    r    r   )r   r3   r    )r   r    r   )r   r   r   r   r   r   r   r   r   rf   ))r   )r   rQ   )      @r  rY   rZ   r]   r   r      )r   rf   r  )r   getr	   r   r2   r   r~   r   do_presolver   r   r   r   test_bounds_fixed-  s6   z$LinprogCommonTests.test_bounds_fixedc                 C   s   | j dd}tdgd| j| j d}t| |rt|jd tdgdg| j| j d}t| |r6t|jd tg dg d| j| j d}t| |rRt|jd d S d S )	Nr  Tr   r   r  r   r   ))r   r   r}   r   )r   r
  r	   r   r   r   r~   r  r   r   r   test_bounds_infeasibleM  s   z)LinprogCommonTests.test_bounds_infeasiblec              	      s   j dd}| o jdk}g d}dtjtjfdg}dtj tj fdg}|r fdd}tt# tt	 |||d	 W d    n1 sKw   Y  W d    n1 sZw   Y  tt, tt	 |||d	 W d    n1 s{w   Y  W d    d S W d    d S 1 sw   Y  d S t
|| j j d
}t| |rt|jd t
|| j j d
}t| |rt|jd d S d S )Nr  Tr   r   r}   r   c                    s   t | | j jd}|S )Nr  r   )rK   r]   r   r   r   r   gt  s   z6LinprogCommonTests.test_bounds_infeasible_2.<locals>.gr   rK   r]   r   r   r   )r   r
  r   r5   rU   r   r   RuntimeWarningr   
IndexErrorr	   r   r   r~   )r   r  Zsimplex_without_presolverK   Zbounds_1Zbounds_2r  r   r   r   r   test_bounds_infeasible_2c  s:   	"z+LinprogCommonTests.test_bounds_infeasible_2c                 C   s&   ddg}t || j| jd}t| d S )Nr3   r   r   )r	   r   r   r!   )r   rK   r   r   r   r   test_empty_constraint_1  s   z*LinprogCommonTests.test_empty_constraint_1c                 C   s`   g d}dt jft j dfddg}t||| j| jd}t| | jddr.t|jd d S d S )N)r3   r   r3   r   r   r3   r   r  r  T)	r5   rU   r	   r   r   r!   r
  r   r~   r   rK   r]   r   r   r   r   test_empty_constraint_2  s   z*LinprogCommonTests.test_empty_constraint_2c                 C   sL   g d}dt jft j dfddg}t||| j| jd}t|g ddd d S )N)r   r3   r   r3   r   r  r  )r   r   r3   r   r   r0   r/   )r5   rU   r	   r   r   r2   r  r   r   r   test_empty_constraint_3  s   z*LinprogCommonTests.test_empty_constraint_3c              
   C   sb   t ddgd }ddgddgddgg}g d}t|||ttt| j| jd}t|ddd	gd
 d S )Nr    r   r3   r   r   r   r   irb   r   	r5   r?   r	   rY   rZ   r]   r   r   r2   r   rK   rW   rX   r   r   r   r   test_inequality_constraints  s   z.LinprogCommonTests.test_inequality_constraintsc              
   C   sX   ddg}ddgddgddgg}g d}t |||ttt| j| jd}t|d	d
dgd d S )Nrb   r    r   r3   r   r   )r   r3   r3   r   r   gUUUUUU?gUUUUUU?r   r	   rY   rZ   r]   r   r   r2   r  r   r   r   test_inequality_constraints2  s   z/LinprogCommonTests.test_inequality_constraints2c              
   C   sp   ddg}d}t |tttt|| j| jd}t|ddgd ddg}t |tttt|| j| jd}t|ddgd d S )Nr   r   r}   r   r0   )r	   rW   rX   rY   rZ   r   r   r2   r  r   r   r   test_bounds_simple  s   z%LinprogCommonTests.test_bounds_simplec              
   C   Z   t dg}t dgg}t dg}d}t|tt|||| j| jd}t|ddgd d S )Nr   r   )r   Nr   r    r   r5   r?   r	   rW   rX   r   r   r2   r   rK   rY   rZ   r]   r   r   r   r   test_bounded_below_only_1     z,LinprogCommonTests.test_bounded_below_only_1c              
   C   s`   t d}t d}t g d}dt jf}t|tt|||| j| j	d}t
||t |d d S )Nr    r   rT   r   r  r5   rr   eyer?   rU   r	   rW   rX   r   r   r2   sumr#  r   r   r   test_bounded_below_only_2  s   


z,LinprogCommonTests.test_bounded_below_only_2c              
   C   r!  )Nr   r   )Nr   r   r    r   r"  r#  r   r   r   test_bounded_above_only_1  r%  z,LinprogCommonTests.test_bounded_above_only_1c              
   C   sb   t d}t d}t g d}t j df}t|tt|||| j| j	d}t
||t |d d S )Nr    r   r#   r   r  r&  r#  r   r   r   test_bounded_above_only_2  s   

z,LinprogCommonTests.test_bounded_above_only_2c              
   C   sd   t d}t d}t g d}t j t jf}t|tt|||| j| j	d}t
||t |d d S )Nr    r   r   r  r&  r#  r   r   r   test_bounds_infinity  s   

z'LinprogCommonTests.test_bounds_infinityc              
   C   s   t ddgd }t jddgddggt jd}ddg}t j t jf}dt jf}||f}t|||tt|| j| jd}t	|d	d
dgd d S )Nr3   r#   rd   r   r   r4   rb   r   gm۶m&g$I$Ig%I$I@r   )
r5   r?   Zfloat64rU   r	   rY   rZ   r   r   r2   )r   rK   rW   rX   r   r   r]   r   r   r   r   test_bounds_mixed  s   

z$LinprogCommonTests.test_bounds_mixedc              
   C   sV   ddg}ddgddgddgg}g d}dd	g}t |||tt|| j| jd
}t| d S Nrh   r   rf   r   r   r   )   r   r    r   r   ro   r   )r	   rY   rZ   r   r   r   r   rK   rW   rX   r]   r   r   r   r    test_bounds_equal_but_infeasible     z3LinprogCommonTests.test_bounds_equal_but_infeasiblec              
   C   sV   ddg}ddgddgddgg}g d}dd	g}t |tt|||| j| jd
}t| d S r.  )r	   rW   rX   r   r   r   r#  r   r   r   !test_bounds_equal_but_infeasible2  r3  z4LinprogCommonTests.test_bounds_equal_but_infeasible2c              
      sj   ddg}ddgddgg}ddg}ddg} fd	d
 j D }d|d< t|||tt| j|d}t| d S )Nr   r   g?g@r#   r_   r}   r0  c                    r   r   r   r   r   r   r   r     r   zDLinprogCommonTests.test_bounds_equal_no_presolve.<locals>.<dictcomp>Fr  r   )r   r	   rY   rZ   r   r   r   rK   rW   rX   r]   r   r   r   r   r   test_bounds_equal_no_presolve  s   z0LinprogCommonTests.test_bounds_equal_no_presolvec           
   
   C   s   d\}}t jd t j|}d|d< t j||}d|d d df< t j|}g dg}d}g d}t||||||| j| jd}	t|	dd	 d S )
Nr   r   r   )r   r   r   r   r    )re   rQ   r7  )re   Nrn   r   gyMj#r   )r5   r6   r7   rB   r	   r   r   r2   
r   rO   rD   rK   rY   rZ   rW   rX   r]   r   r   r   r   test_zero_column_1"  s   
z%LinprogCommonTests.test_zero_column_1c           
   
   C   s   | j dv r	t  tjd d\}}tj|}d|d< tj||}d|d d df< tj|}tj||}d|d d df< tj|}d}t||||||| j | jd}	t	|	 | j
dd	rod
| j vrqt|	jd d S d S d S )N>   r   	highs-ipmr   r"   r3   r   rn   r   r  Tr   )r   r   xfailr5   r6   r7   rB   r	   r   r!   r
  r   r~   r8  r   r   r   test_zero_column_21  s(   
z%LinprogCommonTests.test_zero_column_2c              
   C   sR   g d}g dg dg dg}g d}t |tt||t| j| jd}t|dd d S )Nr   r   r   r   r   r   r   r   r    r   r   r    r   r	   rW   rX   r]   r   r   r2   r   rK   rY   rZ   r   r   r   r   test_zero_row_1L  s   z"LinprogCommonTests.test_zero_row_1c              
   C   sR   g dg dg dg}g d}g d}t |||ttt| j| jd}t|dd d S )Nr=  r>  r?  r   r   r   r   r  )r   rW   rX   rK   r   r   r   r   test_zero_row_2T  s   z"LinprogCommonTests.test_zero_row_2c              
   C   s   d\}}t j|}t j||}d|dd d f< t j|}t|tt||t| j| jd}t	| | j
ddr@t|jd d S d S Nr"   r   r   r  T)r5   r6   rB   r	   rW   rX   r]   r   r   r   r
  r   r~   )r   rO   rD   rK   rY   rZ   r   r   r   r   test_zero_row_3\  s   z"LinprogCommonTests.test_zero_row_3c              
   C   s   d\}}t j|}t j||}d|dd d f< t j| }t|||ttt| j| jd}t	| | j
ddrAt|jd d S d S rD  )r5   r6   rB   r	   rY   rZ   r]   r   r   r   r
  r   r~   )r   rO   rD   rK   rW   rX   r   r   r   r   test_zero_row_4j  s   z"LinprogCommonTests.test_zero_row_4c              
   C   sr   g d}g dg dg dg dg}g d}t |tt||t| j| jd}t| | jddr7t|j	d	 d S d S )
Nr   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   )r   r   r   r#   r   r  Tr   )
r	   rW   rX   r]   r   r   r   r
  r   r~   rA  r   r   r   test_singleton_row_eq_1x  s   z*LinprogCommonTests.test_singleton_row_eq_1c              
   C   sX   g d}g dg dg dg dg}g d}t |tt||t| j| jd}t|dd d S )	NrG  rH  rI  rJ  )r   r   r   r#   r   r#   r   r@  rA  r   r   r   test_singleton_row_eq_2  s   z*LinprogCommonTests.test_singleton_row_eq_2c              
   C   sz   g d}g dg dg dg dg}g d}g d}t |||tt|| j| jd}t| | jd	d
r;t|jd d S d S )NrG  rH  rI  r3   r   r   r   rJ  )r   r   r   r#   rn   ro   ro   ro   r   r  Tr   	r	   rY   rZ   r   r   r   r
  r   r~   r1  r   r   r   test_singleton_row_ub_1  s   z*LinprogCommonTests.test_singleton_row_ub_1c              
   C   s`   g d}g dg dg dg dg}g d}g d}t |||tt|| j| jd}t|d	d
 d S )NrG  rH  rI  rM  rJ  )r   r         r#   rN  r   rT   r   )r	   rY   rZ   r   r   r2   r1  r   r   r   test_singleton_row_ub_2  s   z*LinprogCommonTests.test_singleton_row_ub_2c              
   C   sN   ddg}ddgddgddgg}g d}t |||ttt| j| jd}t| d S )Nr3   r   r   )r   r   r  r   )r	   rY   rZ   r]   r   r   r   r  r   r   r   test_infeasible  s   z"LinprogCommonTests.test_infeasiblec              
   C   s\   dg}dgg}d}d}t |||tt|| j| jd}t| | jddr,t|jd d S d S )	Nr   r   r#   )r   rb   r   r  Tr   rO  r1  r   r   r   !test_infeasible_inequality_bounds  s   z4LinprogCommonTests.test_infeasible_inequality_boundsc              
   C   sR   t ddgd }ddgddgg}ddg}t|||ttt| j| jd}t| d S )Nr   r3   r   r   )	r5   r?   r	   rY   rZ   r]   r   r   r!   r  r   r   r   test_unbounded  s   z!LinprogCommonTests.test_unboundedc                    s`   dg}dg} fdd j D }d|d< t|| j|d} jdkr*t|jd	 d S t| d S )
Nr   Nr   c                    r   r   r   r   r   r   r   r     r   zQLinprogCommonTests.test_unbounded_below_no_presolve_corrected.<locals>.<dictcomp>Fr  r  r   r   )r   r	   r   r   r   r!   )r   rK   r]   r   r   r   r   r   *test_unbounded_below_no_presolve_corrected  s   
z=LinprogCommonTests.test_unbounded_below_no_presolve_correctedc              
   C   s   t g d}t g dg dg dg}t g d}g d}t|||tt|| j| jd}t| | j 	dsOt
|jd	 t j t
|jd
d d d
S d
S )|
        Test whether presolve pathway for detecting unboundedness after
        constraint elimination is working.
        )r   r   r   r   r3   r3   r   r   r   r   r   r   r   r   r   r   r   r   )r   r   r   r   r   r3   r   r   r   )rn   rn   rn   r  r  ro   r   r   r3   N$   $The problem is (trivially) unboundedr5   r?   r	   rY   rZ   r   r   r!   lowerr   r   r.   rU   r+   r1  r   r   r   *test_unbounded_no_nontrivial_constraints_1  s"   
z=LinprogCommonTests.test_unbounded_no_nontrivial_constraints_1c              
   C   s   t g d}t g dg dg dg}t g d}g d}t|||tt|| j| jd}t| | j 	dsPt
|jd	 t j  t
|jd
d d d
S d
S )rX  )r   r   r   r   r3   r   rY  rZ  )r   r   r   r   r   r   r[  )rn   rn   rn   r  r  )Nr   r   r   r3   Nr\  r]  r^  r1  r   r   r   *test_unbounded_no_nontrivial_constraints_2  s"   
z=LinprogCommonTests.test_unbounded_no_nontrivial_constraints_2c              
   C   sd   t g dd }g dg dg dg}g d}t|||ttt| j| jd}t|g dd	d
d d S )N)rl   rQ   r   r3   r  )rR   r   r   )   rR   r   )r   rl   '  r   )r   r   rc  gh㈵>Hz>)r0   r)   r(   r  r  r   r   r   test_cyclic_recovery  s   z'LinprogCommonTests.test_cyclic_recoveryc              
   C   s   t g d}t g dg dg dg}g d}d}dd | j D }||d	< t|||ttt| j|d
}| jdkrJ| j	dsJt
||d	  d S t|g dd d S )N)re   9   rc   g      8@)rT   g      r   rc   )rT   g      rQ  r   rH  )r   r   r   rl   c                 S   s   i | ]\}}||qS r   r   )r   r   valr   r   r   r     s    z8LinprogCommonTests.test_cyclic_bland.<locals>.<dictcomp>r   r   r   bland)r   r   r   r   r  )r5   r?   r   itemsr	   rY   rZ   r]   r   r
  r   r2   )r   rK   rW   rX   r   r   r   r   r   r   test_cyclic_bland  s   
z$LinprogCommonTests.test_cyclic_blandc                 C   s   d\}}t j|}t j||}t j|}d|dd d f  |dd d f< |d  d9  < t }|td t|tt||t	| j
| jd}W d    n1 sQw   Y  t| d S )N)rQ   rQ   r   r   r3   A_eq does not appear...r   )r5   r6   rB   r   r   r
   r	   rW   rX   r]   r   r   r   )r   rO   rD   rK   rY   rZ   r   r   r   r   r   $test_remove_redundancy_infeasibility!  s    z7LinprogCommonTests.test_remove_redundancy_infeasibilityc           	   
   C   sB   t  \}}}}}}}t|||||t| j| jd}t|||d d S )Nr   r   )rk   r	   r]   r   r   r2   	r   rK   rW   rX   rY   rZ   ri   rj   r   r   r   r   test_nontrivial_problem4  s
   z*LinprogCommonTests.test_nontrivial_problemc                 C   s   t dd\}}}t '}|td |td |t t|||ttt	| j
| jd}W d    n1 s5w   Y  t|dd d S )NrR   $Solving system with option 'sym_pos'invalid value encounteredr   r   r   )rP   r   r   r
   r  r   r	   rY   rZ   r]   r   r   r2   )r   rW   rX   rK   r   r   r   r   r   test_lpgen_problem<  s   
z%LinprogCommonTests.test_lpgen_problemc                 C   s2  g d}d\}}|||d|dddd|ddg|dd|d|ddddddgdd||ddddddddgdddddd||dd|dgdddd|||d|dddgddddddd||dd|gddddddddd|||gg}g d}t  }|t t|tt||t| j| jd}W d    n1 sw   Y  t	|dddd	 d S )
N)r   r#   rc      r#   r    r_   rf   r   r	        r  r   )r      i!   r   r   ir   i  ư>rd  )r/   r)   r(   )
r   r   r   r	   rW   rX   r]   r   r   r2   )r   rK   rD   prY   rZ   r   r   r   r   r   test_network_flowI  s$   
z$LinprogCommonTests.test_network_flowc           	      C   s   g d}ddgddgddgddgddgg}d\}}||dddg|d||dgd||d|gddd||gg}g d}t  4}trB|t |td	 |td
 |td |t t|tt	|||| j
| jd}W d    n1 sqw   Y  t|dd d S )N)r   r   r   r    r   r   r#   r   r    r   r  )rh   r   r   r#   scipy.linalg.solve
Ill...rk  Solving system with option...r   r/  r   )r   has_umfpackr   r   r  r
   r   r	   rW   rX   r   r   r2   )	r   rK   r]   rD   rx  rY   rZ   r   r   r   r   r   "test_network_flow_limited_capacity^  s4   


z5LinprogCommonTests.test_network_flow_limited_capacityc              
   C   sL   g d}g dg dg}ddg}t |||ttt| j| jd}t|dd d S )	N)r   rd   rh   )r    r   r   )r   r   r    rQ   r	  r   ir   r  r  r   r   r   (test_simplex_algorithm_wikipedia_example}  s   z;LinprogCommonTests.test_simplex_algorithm_wikipedia_examplec              
   C   s\   g d}g dg dg dg}g d}t |tt||t| j| jd}t|dg dd	d
d d S )Nr   r   r   r   r   r   g     s@)g     P@r   g     1@r   g     f@r   gTqs*>rd  )r/   r0   r)   r(   r@  rA  r   r   r   test_enzo_example  s   
z$LinprogCommonTests.test_enzo_examplec                 C   s   g d}g dg dg dg dg dg}g d}t  }|td t|tt||t| j| jd	}W d    n1 s;w   Y  t	|d
g dd d S )N)r   g333333@g%@r   g333333g%)r3   r3   r3   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   )rQ  皙?333333?r  r  rk  r   gRQ)r  g?        r  r   r  r   )
r   r   r
   r	   rW   rX   r]   r   r   r2   )r   rK   rY   rZ   r   r   r   r   r   test_enzo_example_b  s"   
z&LinprogCommonTests.test_enzo_example_bc              
   C   s   d}t | }dt j t d|d  |d  }t t |d t |f}ddg}t|tt	||t
| j| jd}t|dt |d d S )NrR   r   r   r   r   r   )r5   rr   pir8   r@   cossinr	   rW   rX   r]   r   r   r2   r:   )r   rO   rK   tmprY   rZ   r   r   r   r   #test_enzo_example_c_with_degeneracy  s   "z6LinprogCommonTests.test_enzo_example_c_with_degeneracyc           	   
   C   s   d}t | }dt j t | |d  }t |d }d|d< t |}d|d< t ||f}ddg}t|tt	||t
| j| jd}t| d S )NrS   r   r   r  r   r   )r5   rr   r  r8   r  r  r@   r	   rW   rX   r]   r   r   r!   )	r   rO   rK   r  Zrow0Zrow1rY   rZ   r   r   r   r   &test_enzo_example_c_with_unboundedness  s   
z9LinprogCommonTests.test_enzo_example_c_with_unboundednessc              
      s   d}t | }dt j t | |d  }t t |d t |f}ddg} fdd jD }d|d< t|t	t
||t j|d}t| d S )	NrS   r   r   c                    r   r   r   r   r   r   r   r     r   zMLinprogCommonTests.test_enzo_example_c_with_infeasibility.<locals>.<dictcomp>Fr  r   )r5   rr   r  r8   r@   r  r  r   r	   rW   rX   r]   r   r   )r   rO   rK   r  rY   rZ   r   r   r   r   r   &test_enzo_example_c_with_infeasibility  s   z9LinprogCommonTests.test_enzo_example_c_with_infeasibilityc              
   C   s   t g d}t g dg dg dg dg dg}t g d}t g dg d	g}t d
d
g}t|||||t| j| jd}t|d
t |dd d S )N)ggQ뱿Mbp?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   r   r   r   r   )r   r   r   r   g      4@)r   r   r3   r   r3   r   )r   r   r3   r   r3   r   r   r   g>)r/   r0   r)   )r5   r?   r	   r]   r   r   r2   Z
zeros_like)r   rK   rW   rX   rY   rZ   r   r   r   r   test_basic_artificial_vars  s   
z-LinprogCommonTests.test_basic_artificial_varsc           	   
   C   s   t d\}}}}}}t||||||| j| jd}t|j t|j t|j  d| jvr4t|jdk t	||j
 |j t	|||j
  |jdd t	|||j
  |jdd dD ] }|| v ryt|| d tjsmJ t|| d	 tjsyJ qYd S )
Nr   rW   rX   rY   rZ   r]   r   r   r   z%Optimization terminated successfully.gdy=r)   )eqlinineqlinr_  upper	marginalsZresidual)r^   r	   r   r   r   r   r~   r   r+   r   r.   r-   r   r   keysr   r5   Zndarray)	r   rK   rW   rX   rY   rZ   r]   r   r   r   r   r   test_optimize_result  s$   



z'LinprogCommonTests.test_optimize_resultc           
   /   C   sb  g d}d}d}d}t g dddd|dd	dd
ddd
dd
ddddddgddd|ddd	d
d
dd
d
dddddddgg dg dg dg dg dg dg dg dg dg dg dg dg dg dg dg dg dg dddd
d
dddd
||ddd|dddddgdddddd
d
dddd
||d|ddddgdd
dd ddd|d
d
ddddd|dddgddddd
dd
ddd|d
|ddd|ddgdd
d
d ddd||d
ddddddd|dgddddd
d
dddd||d
ddddd|gg}t g d!}t g d"}t '}|td# |td$ |t t|||tt	|| j
| jd%}	W d    n	1 s$w   Y  t|	d&d' d S )(N)ro   r   rl   r  r  r  r  r  r     r  r  r  r  r  ro   ro   ro   ro   ro   ro   gqq?     g)r   gQr   r   rd   r   r   r   r3   r3   r   r3   r3   r   r   r   r   r   r   r   r   g333333rd   r3   )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   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   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   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   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   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   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   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   r   r   r   r   r   r   r   r   r   r3   r   r   r   r   r   )r   r   r   r   r   r   r   r   r   r   r   r   r   r   r3   r   r   r   r   )r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r3   r   r   r   )r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r3   r   r   )r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r3   r   )r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r3   gףp=
?r   gffffff?g @)r  r   r   rl   rl   rl   rl   rl   rl   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   r   r   r   r   r   r   r   r   ro  rp  r   g^Zr   )r5   r?   r   r   r
   r  r   r	   rY   rZ   r   r   r2   )
r   r]   r   r  hrW   rX   rK   r   r   r   r   r   test_bug_5400   s\   ((((((((
z LinprogCommonTests.test_bug_5400c              
   C   s   t g d}t g dg dg}t ddg}t g dg }t dg }d}t||||||| j| jd	}t|d
t g dd d S )Nr>  )r   r  r  )     @r  r  g      @r  )r  g    .Ag    .Ag    cArn   r   gfffff-@)r   g@r   r   r5   r?   r	   r   r   r2   )r   rK   rY   rZ   rW   rX   r]   r   r   r   r   test_bug_61397  s   	
z LinprogCommonTests.test_bug_6139c                 C   sV  t g dg}t dg}t g dg dg dg dg dg}t g d}t g d	g d
gj}t g d}t 4}trG|t |td |td |td |t	 t
||||||| j| jd}W d    n1 svw   Y  d}	t g d}
t||	|
d d}t|d d df | |j t|j|d d df |  d S )N)
r   r   r   g(\?r   ?r   r   g(\?r   g%䃞?)
r   r   r   zG?r   r   r   gɿr   g)\(̿)
r   r   r   r   r   r   r   r   r   r   )
r   r   r   gQ?r   r   r   r   r   r   )
r   gQ      пr   r   r   g{Gz r   r   gQ?)
r   r   r   r   r   r   r   r  r   r   )gGz?r   gjt?g+gI+)
gzG
ףp=
(\?r  gQտgGzGz?
ףp=
?g333333\(\)
Gz?g{Gz?gzG@gQ?r  rT   g)\(?g(\?{Gz?g333333ÿ)
g=
ףp=gffffff?r   g(\g(\gp=
ף?g
ףp=
@g{Gz?gQ?gQ?z%Solving system with option 'cholesky'ro  rp  r   gV)
r  r  r  r  r  rT   r  r  r  r  r   rw  r   r   )r5   r?   rV   r   r|  r   r   r
   r  r   r	   r   r   r2   r   r.   )r   rY   rZ   rW   rX   r]   rK   r   r   r/   r0   r)   r   r   r   test_bug_6690M  sH   

 z LinprogCommonTests.test_bug_6690c                 C   s   t d\}}}}}t '}|td |td |t t|tt||t	| j
| jd}W d    n1 s6w   Y  d}t||d t||j| tt|jjd |j d S )Nr    rk  rp  r   -U?r   rm   )rL   r   r   r
   r  r   r	   rW   rX   r]   r   r   r2   r   dotr.   r   r5   r:   rN   )r   rY   rZ   rK   _r   r   r/   r   r   r   test_bug_7044y  s   
z LinprogCommonTests.test_bug_7044c                 C   s   t g d}t g dg dg dg dg dg dg dg d	g d
g dg dg dg dg dg dg dg dg dg dg dg dg dg}t g d}t g dg}t dgg}dgd }t||||||| j| jd}t|ddd  d S )!N)	r3   r   r   r   r   r   r   r   r   )	r   g     g     x@g     8g     Xg      g     }@g      Tg     Pr)	r   g     @g      E@g     H@g      m@g     @g     x@g     hg     L@)	r   g      jg     g     ؀@g     t@g     @g     g     p@g     K@)	r   g     Ȋ@g     ؊g     T@g     |@g     pg     Xg     Љ@g      ~@)	r   g     s@     zg     n@r  g     @h@g     {g      Zg     z)	r   g     @g     8@g     v@g     b@g     ؉g     `@g     ȃ@g     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  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  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  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  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  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   r   r   rn   rc   r   ghb$[@rw  r/   r)   r  r   r   r   r   test_bug_7237  sB   
z LinprogCommonTests.test_bug_7237c                 C   s   t g dg dg dg dg}t |jd }t |jd  }dg|jd  }t !}|td |t t	|||t
t|| j| jd	}W d    n1 sQw   Y  | jd
ddk rj| jdkrjt| d S t|ddd d S )N)X  i  iD4       3i)ii    @i  )r  r   r   r  r   )r  r   r   r  r   r   r   r   rp  r   tolg&.>绽|=r   g rw  r  )r5   r?   r:   rC   rr   r   r   r  r   r	   rY   rZ   r   r   r
  r$   r2   )r   rW   rX   rK   r]   r   r   r   r   r   test_bug_8174  s&   
z LinprogCommonTests.test_bug_8174c                 C   s   t g d}t d }t dgdgdgdgdgdgdgg}t g dg dg dg dg dg}t d	gd
gd
gd
gd
gg}t #}trN|t |td t|||||t	| j
| jd}W d    n1 slw   Y  t|dd d S )N)r   r   r   r   r   r   r   rf   r   )r   r   r   r   r   r   r   )r  g?g?r   r   r   r3   )r  r   r   r   r   r   gUUUUUU)r   r  r   r   r   r   )r   r   r  r   r   r   r  rl   r   rk  r   g?E@r   )r5   r?   identityr   r|  r   r   r
   r	   r]   r   r   r2   r   rK   rW   rX   rY   rZ   r   r   r   r   r   test_bug_8174_2  s(   &
z"LinprogCommonTests.test_bug_8174_2c                 C   sn   t g d}t g dg dg dg dg dg}t g d}t|||| j| jd}t|g d	d
 d S )N)rf   r   rh         ?r  )r#         @r  r         )r   r   r   r   rT   )r    rQ  r#   g      )ra   )r3   g      @r   r  r   )r  r   g      r3   g      #@)r   r   r   r   r   )rW   rX   r   r   )r   r   ru  gUUUUUU@gUUUUUU#@r  )r5   r?   r	   r   r   r2   r  r   r   r   test_bug_8561  s   z LinprogCommonTests.test_bug_8561c           
      C   sH  g d}g dg dg dg dg}g d}g d}d}t  (}tr'|t |td	 |t t|||tt|| j	| j
d
}W d    n1 sJw   Y  |g d |d d|d< t  (}trj|t |td	 |t t|||tt|| j	| j
d
}W d    n1 sw   Y  d}	t|||	d t|||	d d S )N)re   rQ   rb   r    )r_   rg   rh   rb   )rg   r_   r#   r`   )rh   r#   r_   rh   )r    rd   rd   re   )rc   r  rh   )ro   ro   ro   ro   g      B@rp  r   )r   r   r3   r   r   rn   r   rm   )r/   r(   )r   r|  r   r   r  r   r	   rY   rZ   r   r   r=   r2   )
r   rK   rW   rX   r]   r/   r   res1res2r(   r   r   r   test_bug_8662  sB   

	


z LinprogCommonTests.test_bug_8662c              
   C   sR   ddg}ddgg}dg}ddg}t |tt|||| j| jd}t|dd	gd
d d S )Nr   r   r   ra   r`   ro   rn   r   g۶m۶m?gI$I$@r  )r	   rW   rX   r   r   r2   r#  r   r   r   test_bug_8663  s   
z LinprogCommonTests.test_bug_8663c                 C   s   dg}dgdgg}ddg}dgdgdgg}g d}t  !}|t |td t|||||t| j| jd	}W d    n1 s@w   Y  t| d S )
Nr#   r   r   r   rg   rc   r    r   rQ   r{  r   )	r   r   r  r
   r	   r]   r   r   r   r  r   r   r   test_bug_8664#  s   
z LinprogCommonTests.test_bug_8664c              
   C   sx   t g d}t g dg dg}t ddg}g d}t|||tt|| j| jd}t|dd t||j	 |j
 d	S )
zv
        Test whether bug described at:
        https://github.com/scipy/scipy/issues/8973
        was fixed.
        )r   r   r   r   r3   )r   r   r   r   r   )r   r   r   r   r   r   r   )rn   rn   rn   r  r  r   r   N)r5   r?   r	   rY   rZ   r   r   r2   r   r.   r-   r1  r   r   r   test_bug_89733  s   z LinprogCommonTests.test_bug_8973c              
   C   sX   t d}t dgg}t dg}d}t|||tt|| j| jd}t|dgdd dS )z
        Additional test for:
        https://github.com/scipy/scipy/issues/8973
        suggested in
        https://github.com/scipy/scipy/pull/8985
        review by @antonior92
        r   r   rn   r   r   r  N)	r5   r:   r?   r	   rY   rZ   r   r   r2   r1  r   r   r   test_bug_8973_2D  s   
z"LinprogCommonTests.test_bug_8973_2c              
   C   s   t d}t dgg}t dg}d}ddg}ddgddgg}ddg}dd	g}d
di}|| j t|||tt|| j|d}t	|ddgdd dS )zg
        Test for linprog docstring problem
        'disp'=True caused revised simplex failure
        r   r   rn   r3   r#   rd   r   rb   r   r   Tr   rQ   r   r  N)
r5   r:   r?   updater   r	   rY   rZ   r   r2   r5  r   r   r   test_bug_10124T  s   
z!LinprogCommonTests.test_bug_10124c                 C   s   t g dg dg dg dg dg dg}t g d}t jdd	t d
fdd}t }|td t|tt	||t
| j| jd}W d   n1 sMw   Y  t|g ddd dS )zq
        Test for redundancy removal tolerance issue
        https://github.com/scipy/scipy/issues/10349
        )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   r   )r   r   r   r   r   r   )      rQ         f   r   r   r#   NZaxisrk  r   )   \   r   r  r   rQ   r  r  )r5   r?   Zconcatenater:   r   r   r
   r	   rW   rX   r]   r   r   r2   )r   rY   rZ   rK   r   r   r   r   r   test_bug_10349g  s    
z!LinprogCommonTests.test_bug_10349darwinz0Failing on some local macOS builds, see gh-13846reasonc                 C   s  g d}g dg dg dg dg dg dg dg d	g d
g dg
}g d}i }| j ds4ddi}|| j t @}|td trK|t |t	d |t	d |t	d |t	d |t
d t|tt||t| j |d}W d   n1 sw   Y  t|jd dS )zA
        Test that autoscale fixes poorly-scaled problem
        )       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   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   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  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  )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   )
g     Ag      Ag     @Ag      A   Ar  r  r  r  r  r   	autoscaleTr{  rz  zdivide by zero encountered...zoverflow encountered...zinvalid value encountered...Ill-conditioned matrix...r   Nl )r   r   r  r   r   r   r
   r|  r   r  r   r	   rW   rX   r]   r   r-   )r   rK   rY   rZ   r   r   r   r   r   r   test_bug_10466z  s>   
z!LinprogCommonTests.test_bug_10466N)V__name__
__module____qualname____doc__r   r   r   r   r   r   r   r   r   r   r   r  r  r  r  r  r  r  r  r  r   r$  r)  r*  r+  r,  r-  r2  r4  r6  r9  r<  rB  rC  rE  rF  rK  rL  rP  rR  rS  rT  rU  rW  r`  ra  re  rj  rl  rn  rq  ry  r}  r~  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r   markZskipifsysplatformr  r   r   r   r   r   l  s    
! &
								
7,)$r   zignore::DeprecationWarningc                   @      e Zd ZdZdS )LinprogSimplexTestsr   Nr  r  r  r   r   r   r   r   r    s    r  c                   @      e Zd ZdZdd ZdS )LinprogIPTestsr   c                 C      t d d S )Nz*Test is failing, but solver is deprecated.r   skipr   r   r   r   r       zLinprogIPTests.test_bug_10466N)r  r  r  r   r  r   r   r   r   r    s    r  c                   @   s(   e Zd ZdZdd Zdd Zdd ZdS )	LinprogRSTestsr   c                 C   r  Nz Intermittent failure acceptable.r  r   r   r   r   r    r  zLinprogRSTests.test_bug_5400c                 C   r  r  r  r   r   r   r   r    r  zLinprogRSTests.test_bug_8662c                 C   r  r  r  r   r   r   r   ry    r  z LinprogRSTests.test_network_flowN)r  r  r  r   r  r  ry  r   r   r   r   r    s
    r  c                   @   sz   e Zd Zdd Zejdddiddiddiddid	did
diddiddigdd Zdd Zdd Z	dd Z
dd ZdS )LinprogHiGHSTestsc              	   C   st   dd }t ddg}ddgddgddgg}g d}ttt||||| jd	 t|||| jd
}t|dddgd d S )Nc                 S   s   d S r   r   r   r   r   r   r     s   z+LinprogHiGHSTests.test_callback.<locals>.cbrd   r   r   r   r   r   r   r   r   rb   r   )r5   r?   r   NotImplementedErrorr	   r   r2   r   r   r   r   r     s   zLinprogHiGHSTests.test_callbackr   r   r3   r   r  r   Zdual_feasibility_toleranceZprimal_feasibility_toleranceZipm_optimality_toleranceZ!simplex_dual_edge_weight_strategyZekkic                    s*    fdd}|  j tt||d d S )Nc                    s   t d j| d d S )Nr   r   r   r   r   r   r   r     s   z7LinprogHiGHSTests.test_invalid_option_values.<locals>.fr   )r  r   r   r
   )r   r   r   r   r   r   test_invalid_option_values  s   z,LinprogHiGHSTests.test_invalid_option_valuesc                 C   sH   t d\}}}}}d}t||||| j| jd}t|jdk| jdk d S )Nr#   r   r  r   r:  )rL   r	   r   r   r   Zcrossover_nit)r   rY   rZ   rK   r  r]   r   r   r   r   test_crossover  s   
z LinprogHiGHSTests.test_crossoverc           
   
      s  t dd\ t jjd}j\ fdd}t|d|jd}t|jj	|  fdd	}t|d|jd}t|j
j	|  fd
d}tjdd t|d|jd}d|t < W d    n1 sw   Y  t|jj	|  fdd}tjdd t|d|jd}	d|	t < W d    n1 sw   Y  t|jj	|	 d S )Nr   r7   r  c              	      s   t |  jdjS Nr   r	   r   r-   r.   )rY   rW   rZ   r]   rK   r   r   r   f_bub  
   z/LinprogHiGHSTests.test_marginals.<locals>.f_bubz3-point)r   Zf0c              	      s   t  | jdjS r  r  r  )rY   rW   rX   r]   rK   r   r   r   f_beq  r  z/LinprogHiGHSTests.test_marginals.<locals>.f_beqc              	      s*   t | gj}t |jdjS r  r5   r?   rV   r	   r   r-   r.   r]   )rY   rW   rZ   rX   rK   r   r\   r   r   f_lb     z.LinprogHiGHSTests.test_marginals.<locals>.f_lbignore)invalidc              	      s*   t | gj}t |jdjS r  r  r  )rY   rW   rZ   rX   rK   r[   r   r   r   f_ub   r  z.LinprogHiGHSTests.test_marginals.<locals>.f_ub)r^   r	   r   r   rV   r   r-   r   r  r  r  r5   Zerrstateisfiniter_  r  )
r   r   r  Zdfdbubr  Zdfdbeqr  Zdfdlbr  Zdfdubr   )	rY   rW   rZ   rX   r]   rK   r[   r   r\   r   test_marginals  s.   

z LinprogHiGHSTests.test_marginalsc           	   
   C   sv   t dd\}}}}}}t||||||| j| jd}| |j|jj  |j|jj  |jj |j	j }t
|ddd d S )Nr   r  r  r   -q=r  )r^   r	   r   r   rV   r  r  r  r  r_  r   )	r   rK   rW   rX   rY   rZ   r]   r   Zresidr   r   r   test_dual_feasibility+  s   
z'LinprogHiGHSTests.test_dual_feasibilityc              
   C   sX   t dd\}}}}}}t||||||| j| jd}t|jj|||j   ds*J d S )Nr   r  r  r   )	r^   r	   r   r   r5   allcloser  r  r.   r   r   r   r   test_complementary_slackness9  s
   
&z.LinprogHiGHSTests.test_complementary_slacknessN)r  r  r  r   r   r  Zparametrizer  r  r  r  r  r   r   r   r   r    s$    

1r  c                       s4   e Zd Zdd Zdd Zdd Z fddZ  ZS )	TestLinprogSimplexDefaultc                 C   s
   i | _ d S r   r   r   r   r   r   setup_methodL  s   
z&TestLinprogSimplexDefault.setup_methodc                 C   r  NzSimplex fails on this problem.r  r   r   r   r   r  O  r  z'TestLinprogSimplexDefault.test_bug_5400c                 C   r  r  r  r   r   r   r   test_bug_7237_low_tolR     z/TestLinprogSimplexDefault.test_bug_7237_low_tolc                    J   | j ddi tt t   W d    d S 1 sw   Y  d S Nr  r  r   r  r   r   r
   superr  r   	__class__r   r   test_bug_8174_low_tolW     "z/TestLinprogSimplexDefault.test_bug_8174_low_tol)r  r  r  r  r  r	  r  __classcell__r   r   r  r   r  J  s
    r  c                       s,   e Zd Zdd Zdd Z fddZ  ZS )TestLinprogSimplexBlandc                 C      ddi| _ d S )Nrh  Tr   r   r   r   r   r  a  r  z$TestLinprogSimplexBland.setup_methodc                 C   r  r  r  r   r   r   r   r  d  r  z%TestLinprogSimplexBland.test_bug_5400c              	      s   | j ddi tt+ tt t   W d    n1 s#w   Y  W d    d S W d    d S 1 s;w   Y  d S r  )	r   r  r   r   r,   r   r
   r  r  r   r  r   r   r  g  s   "z-TestLinprogSimplexBland.test_bug_8174_low_tol)r  r  r  r  r  r  r  r   r   r  r   r  _  s    r  c                       s   e Zd Zdd Zedjdk Zej	
dZejjeoedd fdd	Z fd
dZdd Z fddZdd Zdd Z  ZS )TestLinprogSimplexNoPresolvec                 C   r  )Nr  Fr   r   r   r   r   r  r  r  z)TestLinprogSimplexNoPresolve.setup_methodr   r_   linuxz"Fails with warning on 32-bit linux)	conditionr  c                       t    d S r   )r  r  r   r  r   r   r  x     z*TestLinprogSimplexNoPresolve.test_bug_5400c                    sL   | j ddi tjtdd t  W  d    S 1 sw   Y  d S )Nr  r  zlinprog status 4r   )r   r  r   r   r,   r  r  r   r  r   r   test_bug_6139_low_tol~  s   $z2TestLinprogSimplexNoPresolve.test_bug_6139_low_tolc                 C   r  r  r  r   r   r   r   r	    r  z2TestLinprogSimplexNoPresolve.test_bug_7237_low_tolc                    r  r  r  r   r  r   r   r    r  z2TestLinprogSimplexNoPresolve.test_bug_8174_low_tolc                 C   r  Nz#Tests behavior specific to presolver  r   r   r   r   r`    r  zGTestLinprogSimplexNoPresolve.test_unbounded_no_nontrivial_constraints_1c                 C   r  r  r  r   r   r   r   ra    r  zGTestLinprogSimplexNoPresolve.test_unbounded_no_nontrivial_constraints_2)r  r  r  r  r5   ZintpitemsizeZ	is_32_bitr  r  r   Zis_linuxr   r  r;  r  r  r	  r  r`  ra  r  r   r   r  r   r  p  s    	r  c                   @      e Zd ZddiZdS )TestLinprogIPDensert   FNr  r  r  r   r   r   r   r   r        r  c                   @   s   e Zd ZdddZdS )TestLinprogIPSparseCholmodTrt   r   Nr   r   r   r   r   r"    s    r"  c                   @   s   e Zd ZdddZdd ZdS )TestLinprogIPSparseUmfpackTFr#  c                 C   r  )Nz2Failing due to numerical issues on some platforms.r  r   r   r   r   r}    r  z=TestLinprogIPSparseUmfpack.test_network_flow_limited_capacityN)r  r  r  r   r}  r   r   r   r   r$    s    
r$  c                       s^   e Zd ZddddZejd fddZejjdd fd	d
Z	dd Z
dd Z  ZS )TestLinprogIPSparseTFrt   r   Zsym_posrThis test is sensitive to machine epsilon level perturbations in linear system solution in _linprog_ip._sym_solve.c                    r  r   r  r  r   r  r   r   r    r  z!TestLinprogIPSparse.test_bug_6139Fails with ATLAS, see gh-7877r  c                    r  r   r  r  r   r  r   r   r    r
  z!TestLinprogIPSparse.test_bug_6690c           	         s   t d\}}}}}d}t 6}tr|t |td |td  fdd jD }d|d< t|t	t
||| j|d	}W d    n1 sGw   Y  t|d
d d S )Nr    r   zMatrix is exactly singularr{  c                    r   r   r   r   r   r   r   r     r   zLTestLinprogIPSparse.test_magic_square_sparse_no_presolve.<locals>.<dictcomp>Fr  r   r  r   )rL   r   r|  r   r   r   r
   r   r	   rW   rX   r   r2   )	r   rY   rZ   rK   r  r]   r   r   r   r   r   r   $test_magic_square_sparse_no_presolve  s   
z8TestLinprogIPSparse.test_magic_square_sparse_no_presolvec           
         s   t d\}}}}}t =}|td |td  fdd jD }d}|D ]}||d< t|tt||t j	|d}	t
|	d	d
 q'W d    d S 1 sLw   Y  d S )Nr    rk  zInvalid permc_spec optionc                    r   r   r   r   r   r   r   r     r   zATestLinprogIPSparse.test_sparse_solve_options.<locals>.<dictcomp>)ZNATURALZMMD_ATAZMMD_AT_PLUS_AZCOLAMDr   
permc_specr   r  r   )rL   r   r   r
   r   r	   rW   rX   r]   r   r2   )
r   rY   rZ   rK   r  r   r   Zpermc_specsr,  r   r   r   r   test_sparse_solve_options  s   "z-TestLinprogIPSparse.test_sparse_solve_options)r  r  r  r   r   r  xfail_on_32bitr  r;  r  r+  r-  r  r   r   r  r   r%    s    
r%  c                       sT   e Zd ZdddZejd fddZdd Zejj	dd	 fd
dZ
  ZS )TestLinprogIPSparsePresolveT)rt   r   r'  c                    r  r   r(  r   r  r   r   r    r  z)TestLinprogIPSparsePresolve.test_bug_6139c                 C   r  )Nz6_sparse_presolve=True incompatible with presolve=Falser  r   r   r   r   r    r  zBTestLinprogIPSparsePresolve.test_enzo_example_c_with_infeasibilityr)  r  c                    r  r   r*  r   r  r   r   r    r
  z)TestLinprogIPSparsePresolve.test_bug_6690)r  r  r  r   r   r  r.  r  r  r;  r  r  r   r   r  r   r/    s    

r/  c                   @   s8   e Zd ZdZdd Zdd Zdd Zdd	 Zd
d ZdS )TestLinprogIPSpecificr   c                 C   s|   t rddd}ntrddd}ndddd}tdd\}}}t|||| j|d}t|||| jd}t|j|jdd	d
d d S )NTr#  Fr&  rR   r   r   z(linprog default solver unexpected resultgV瞯<gV瞯<r&   )has_cholmodr|  rP   r	   r   r   r-   )r   r   rI   rJ   rK   r  r  r   r   r   test_solver_select  s   

z(TestLinprogIPSpecific.test_solver_selectc                 C   s4   dg}dg}t ||| jdddd}t|dd d S )Nr3   rV  FT)r  r   r  r   )r	   r   r2   r  r   r   r   )test_unbounded_below_no_presolve_original  s   z?TestLinprogIPSpecific.test_unbounded_below_no_presolve_originalc                 C   r   )NrR   r   Tr   r   r   r   r   r   r   r   test_cholesky  r   z#TestLinprogIPSpecific.test_choleskyc              	   C   s   t dd\}}}t '}|td |td |td t|||| jdddd}W d    n1 s5w   Y  t|dd	 d S )
NrR   rz  r{  r  T)ipr   r   r   r   )	rP   r   r   r  r
   r   r	   r   r2   )r   rI   rJ   rK   r   r   r   r   r   test_alternate_initial_point  s   z2TestLinprogIPSpecific.test_alternate_initial_pointc                 C   s   dg}dgdgg}ddg}dgdgdgg}g d}t  "}|t |td t|||||t| jd	d
id}W d    n1 sAw   Y  t|j d d S )Nr#   r   r   r   rg   rc   r  r{  r  Fr   r   )	r   r   r  r
   r	   r]   r   r   r   r  r   r   r   r  #  s   

z#TestLinprogIPSpecific.test_bug_8664N)	r  r  r  r   r2  r3  r4  r6  r  r   r   r   r   r0    s    	r0  c                   @   sH   e Zd Zi Zdd Zdd Zdd Zdd Zd	d
 Zdd Z	dd Z
dS )TestLinprogRSCommonc                 C   r  r  r  r   r   r   r   rj  :  r  z%TestLinprogRSCommon.test_cyclic_blandc           	      C   P   t  \}}}}}}}t|||||t| j| j|d	}t|||d t|jd d S Nr   r   x0r   r   rk   r	   r]   r   r   r2   r   r~   rm  r   r   r   "test_nontrivial_problem_with_guess=     
z6TestLinprogRSCommon.test_nontrivial_problem_with_guessc           
      C   X   t  \}}}}}}}g d}t||||||| j| j|d	}	t|	||d t|	jd d S )N)rn   rn   ro   rn   r:  r   r   rk   r	   r   r   r2   r   r~   
r   rK   rW   rX   rY   rZ   ri   rj   r]   r   r   r   r   0test_nontrivial_problem_with_unbounded_variablesD     
zDTestLinprogRSCommon.test_nontrivial_problem_with_unbounded_variablesc           
      C   r?  )N)rV  r   Nro   r  g333333?r:  r   r   r@  rA  r   r   r   .test_nontrivial_problem_with_bounded_variablesL  rC  zBTestLinprogRSCommon.test_nontrivial_problem_with_bounded_variablesc           
      C   sp   t  \}}}}}}}dg}tg d}d}g d}t||||||| j| j|d	}	t|	||d t|	jd d S )Nr#   )gibl3g%G/?r   r  g@Q$@)rn   rD  ro   rE  r:  r   r   )	rk   r5   r?   r	   r   r   r2   r   r~   rA  r   r   r   8test_nontrivial_problem_with_negative_unbounded_variableT  s   
zLTestLinprogRSCommon.test_nontrivial_problem_with_negative_unbounded_variablec           
      C   J   t  \}}}}}}}g d}t|||||t| j| j|d	}	t|	jd d S N)r   r   r    rT   r:  rb   rk   r	   r]   r   r   r   r   
r   rK   rW   rX   rY   rZ   ri   rj   Z	bad_guessr   r   r   r   &test_nontrivial_problem_with_bad_guess_     
z:TestLinprogRSCommon.test_nontrivial_problem_with_bad_guessc           
      C   s   t d\}}}}}tjj|j }t :}|td |td |t	 t
|||| jd}t
|||| j|jd}t
|| ||| j|jd}	W d    n1 sPw   Y  t|dd t|jd t|	 t|	j|jk  d S )	Nr    rk  rp  )rY   rZ   r   )rY   rZ   r   r;  r  r   r   )rL   r5   r6   rB   rC   r   r   r
   r  r   r	   r   r.   r2   r   r~   r   )
r   rI   rJ   rK   r  rx  r   r   r  Zres3r   r   r   %test_redundant_constraints_with_guessf  s   
z9TestLinprogRSCommon.test_redundant_constraints_with_guessN)r  r  r  r   rj  r=  rB  rF  rG  rL  rN  r   r   r   r   r7  7  s    r7  c                   @   r  )TestLinprogRSBlandpivotrh  Nr   r   r   r   r   rO  v  r!  rO  c                   @   s   e Zd ZdZi Zdd ZdS )TestLinprogHiGHSSimplexDualr   c                 C   s   t  \}}}}t||||| j| jd}t|jd t|jdu tt	|j
dk tt	|jdd |D k tt	|jdd |D k dS )z
        The scaled model should be optimal, i.e. not produce unscaled model
        infeasible.  See https://github.com/ERGO-Code/HiGHS/issues/494.
        )rW   rX   r]   r   r   r   Ngưc                 S   s"   g | ]\}}|d u rt jn|qS r   r5   rU   r   r[   r\   r   r   r   
<listcomp>  s    zCTestLinprogHiGHSSimplexDual.test_lad_regression.<locals>.<listcomp>c                 S   s(   g | ]\}}|d u rt j n|d qS )Nrd  rR  rS  r   r   r   rT    s    )r{   r	   r   r   r   r   r   r.   r5   allr   )r   rK   rW   rX   rz   r   r   r   r   test_lad_regression  s   
z/TestLinprogHiGHSSimplexDual.test_lad_regressionN)r  r  r  r   r   rV  r   r   r   r   rQ    s    rQ  c                   @   s   e Zd ZdZi ZdS )TestLinprogHiGHSIPMr:  N)r  r  r  r   r   r   r   r   r   rW    s    rW  c                   @   s   e Zd ZdZi Zejjej	dk oe
 dkddddd Zd	d
 Zdd Zdd Zdd Zejjejddd Zejjdd Zdd ZdS )TestLinprogHiGHSMIPr   l        LinuxFzgh-16347)r  runr  c              	   C   s  d}t |\}}}}}dgt| }dgt| }t|d |||| j|d}	| |	j |d ||}
tj|
dd}tj	
|jdd| tj	
|jdd| tj	
t| | tj	
t|d d d d df  | tj	j
|	jt|	jd	d
 d S )Nr#   r   r   r   rK   rY   rZ   r]   r   r   r   r  r3   r  r  )rL   r   r	   r   r>   r.   r9   r5   r(  r   r   Zdiaground)r   rD   rI   rJ   rK   rF   rE   r]   r   r   sZsquarer   r   r   	test_mip1  s   * zTestLinprogHiGHSMIP.test_mip1c                 C   s   t ddgddgg}t ddg}t ddg }t dt jfgt| }t |}t||||| j|d	}t j|j	ddg t j|j
d
 d S )Nr   r   rg   rQ   r3      r   r   r   rd   )r5   r?   rU   r   Z	ones_liker	   r   r   r   r.   r-   r   r   r   r   	test_mip2  s   

zTestLinprogHiGHSMIP.test_mip2c                 C   s   t ddgddgddgg}t g d}t ddg }dt jfgt| }dgt| }t||||| j|d}t j|jd t 	|j
ddgsUt 	|j
ddgsWJ d S d S )	Nr3   r   r    r   r   r   r   r   )r5   r?   rU   r   r	   r   r   r   r-   r  r.   r   r   r   r   	test_mip3  s   
0zTestLinprogHiGHSMIP.test_mip3c                 C   s   t ddgddgddgg}t g d}t ddg}dt jfgt| }ddg}t||||| j|d	}t j|jd
dg t j|j	d d S )Nr3   r   rh   r   r   )r/  irR   r_   r   r   g      @rf   ;   )
r5   r?   rU   r   r	   r   r   r   r.   r-   r   r   r   r   	test_mip4  s   
zTestLinprogHiGHSMIP.test_mip4c           	   
   C   s   t g dg}t dg}t g dg}t dg}t g d}dt jfdt jfdg}g d}t||||||| j|d	}t j|jg d
 t j|jd |	dd d us[J |	dd d useJ |	dd d usoJ d S )Nr>  rf   )r#   r   r   r   )rd   r   r3   r   r   r  )rK   rW   rX   rY   rZ   r]   r   r   )r   rb   r   iZmip_node_countZmip_dual_boundmip_gap)
r5   r?   rU   r	   r   r   r   r.   r-   r
  )	r   rW   rX   rY   rZ   rK   r]   r   r   r   r   r   	test_mip5  s    zTestLinprogHiGHSMIP.test_mip5x   c                 C   s   t g dg dg dg dg}t g d}t g d}dt jfgd }d	gd }t||||| j|d
}t j|jd d S )N   r_     rv     r    r/  ri  '   rs  rh     ri           rt  r/        rn  &   ri  ri  )   ri  rm  r\  rt  rt  rs  ri  i  i(  i:,  i/  r   rQ   r_     rf   r   rf   r    r   r_   r   r[  i>  )r5   r?   rU   r	   r   r   r   r-   )r   rY   rZ   rK   r]   r   r   r   r   r   	test_mip6	  s   


zTestLinprogHiGHSMIP.test_mip6c                 C   s   t g dg dg dg dg}t g d}t g d}dt jfgd }d	gd }g d
}g }|D ]!}t|tt|||| j|d|id	}	|	d }
|
|ksPJ ||
 q4t t 	|}t 
|dksgJ t 
|dkrpJ d S )Nrg  rk  rq  ru  rw  rx  r   r_   r   )rT   g      ?g{Gz?gMbP?mip_rel_gap)	rK   rW   rX   rY   rZ   r]   r   r   r   rd  )r5   r?   rU   r	   rW   rX   r   r=   difffliprU  )r   rY   rZ   rK   r]   r   Zmip_rel_gapsZsol_mip_gapsr{  r   Zfinal_mip_gapZ	gap_diffsr   r   r   test_mip_rel_gap_passdown"	  s.   

z-TestLinprogHiGHSMIP.test_mip_rel_gap_passdownc                 C   st   t g d}t ddgddgddgddgg}t g d}t|||dd}t j|jg d |jdks8J d S )	N)r   r   r3   r3   rT   r  )r   r    r   r    r   )r]   r   r   )r   r   r  r   r   )r5   r?   r	   r   r   r.   r   )r   rK   r]   r   r   r   r   r   test_semi_continuousH	  s   "z(TestLinprogHiGHSMIP.test_semi_continuousN)r  r  r  r   r   r   r  r;  r  maxsizer  systemr^  r`  ra  rc  re  Zslowtimeoutrz  Zxslowr~  r  r   r   r   r   rX    s&    



%rX  c                   @   s&   e Zd ZddiZejZejZejZdS )AutoscaleTestsr  TN)r  r  r  r   r   r  r  r  r   r   r   r   r  ]	  s
    
r  c                   @   r  )TestAutoscaleIPr   c                 C   s   d| j d< t| S )Nr  r  )r   r  r  r   r   r   r   r  i	  s   

zTestAutoscaleIP.test_bug_6139N)r  r  r  r   r  r   r   r   r   r  f	  s    r  c                   @   r  )TestAutoscaleSimplexr   Nr  r   r   r   r   r  n	  s    r  c                   @   s    e Zd ZdZdd Zdd ZdS )TestAutoscaleRSr   c           	      C   r8  r9  r<  rm  r   r   r   r=  u	  r>  z2TestAutoscaleRS.test_nontrivial_problem_with_guessc           
      C   rH  rI  rJ  rK  r   r   r   rL  |	  rM  z6TestAutoscaleRS.test_nontrivial_problem_with_bad_guessN)r  r  r  r   r=  rL  r   r   r   r   r  r	  s    r  c                   @   s2   e Zd ZdZeZejZejZej	Z	ej
ZejZdS )RRTestsr   N)r  r  r  r   r   ZLCTrl  Ztest_RR_infeasibilityr  r  r}  Z	test_NFLCr  r   r   r   r   r  	  s    
r  c                   @   r  )	TestRRSVDr   ZSVDNr   r   r   r   r   r  	  r!  r  c                   @   r  )TestRRPivotr   rP  Nr   r   r   r   r   r  	  r!  r  c                   @   r  )TestRRIDr   IDNr   r   r   r   r   r  	  r!  r  )NNr%   r%   )r   )r   r_   rc   rl   )Ur  r  r  numpyr5   Znumpy.testingr   r   r   r   r   r   r   r   r   Zscipy.optimizer	   r
   Zscipy.optimize._numdiffr   Zscipy.sparse.linalgr   Zscipy.linalgr   Zscipy.sparsers   r|  Zscikits.umfpackr   ImportErrorr1  ZsksparseZsksparse.cholmodr   Zcholmodr   r   r!   r$   r2   rL   rP   r^   rk   r{   r   r   r   r   r   r   rW   rX   rY   rZ   r]   r   r  filterwarningsr  r  r  r  r  r  r  r  r"  r$  r%  r/  r0  r7  rO  rQ  rW  rX  r  r  r  r  r  r  r  r  r   r   r   r   <module>   s     

B

#
	-          
H

u-2
D?	
 
9
