ó
î&]\c           @` s|  d  d l  m Z m Z m 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 d  d l m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z d e f d „  ƒ  YZ  d	 e f d
 „  ƒ  YZ! d e f d „  ƒ  YZ" d e f d „  ƒ  YZ# d e f d „  ƒ  YZ$ d e f d „  ƒ  YZ% d e f d „  ƒ  YZ& d e f d „  ƒ  YZ' d S(   i    (   t   divisiont   print_functiont   absolute_importN(   t   assert_equalt   assert_array_almost_equalt   assert_array_equalt   assert_allcloset   assert_t   assert_almost_equal(   t   raises(   t   suppress_warnings(   t   dlsimt   dstept   dimpulset   tf2zpkt   ltit   dltit
   StateSpacet   TransferFunctiont   ZerosPolesGaint	   dfreqrespt   dbodet   BadCoefficientst   TestDLTIc           B` sG   e  Z d  „  Z d „  Z d „  Z d „  Z d „  Z d „  Z d „  Z RS(   c         C` s)  t  j d d g d d g g ƒ } t  j d d d g d d d g g ƒ } t  j d d g g ƒ } t  j d d d g g ƒ } d	 } t  j t  j t  j d
 d d d ƒƒ j ƒ  d t  j d, ƒ d t  j d- ƒ f ƒ } t  j d
 d d d ƒ} t  j d d d d d g ƒ j ƒ  } t  j d
 d
 g d d g d d g d d g d d g g ƒ }	 t | | | | | f | | ƒ \ }
 } } t | | ƒ t |	 | ƒ t | |
 ƒ t d. d! ƒ | d
 d! g d  d  … f } t  j d d g ƒ } t | | | | | f | | ƒ \ }
 } } t | | ƒ t |	 | ƒ t	 t
 |
 ƒ | j d
 ƒ t  j d" d g ƒ } t  j d d" d# g ƒ } t  j d d d$ d% d& g ƒ j ƒ  } t | | d	 f | d  d  … d
 f | ƒ \ }
 } t | | ƒ t | |
 ƒ t  j | d  d  … d
 f ƒ } | j d/ ƒ } t | | d	 f | | ƒ \ }
 } t | | ƒ t | |
 ƒ t  j d	 d' g ƒ } t  j d( t  j d ƒ d) t  j d ƒ g ƒ } d" } t  j d d" d d* d+ g ƒ j ƒ  } t | | | d	 f | d  d  … d
 f | ƒ \ }
 } t | | ƒ t | |
 ƒ t d g d d g ƒ } t t t | | ƒ d  S(0   NgÍÌÌÌÌÌì?gš™™™™™¹?gš™™™™™É¿gš™™™™™Ù?gš™™™™™¹¿g        gš™™™™™©?g333333Ó?g      à?i    g      @t   numi   g{®Gáz„?i   gü©ñÒMb`¿g       @gü©ñÒMbP¿g²c#¯ëG¿gêD2¤?gºÑŠo·?g#£YäÀ?ga2U0*©S?gü©ñÒMb@?gÇTÆ¿Ù?gkHÜcéCG?g'h“Ã'ò?g5–°6ÆN´¿g9¶ž!ì@g°b§¨mÓ¿i   i   i   g      ð?gš™™™™™É?g£ªªªªª
@gÊqÇqÀgÐ^B{	7@g      à¿y              ð?y              ð¿g      @g      @(   i   i   (   i   i   (   i   i   i   (   i   (   t   npt   asarrayt   hstackt   asmatrixt   linspacet	   transposet   onesR   R   R   t   lent   shapet   reshapet   arrayt   sqrtR   t   assert_raisest   AttributeError(   t   selft   at   bt   ct   dt   dtt   ut   t_int
   yout_trutht
   xout_trutht   toutt   youtt   xoutt   u_sparset   t_sparseR   t   dent   uflatt   zdt   pdt   kt   system(    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt
   test_dlsim   sl    !'*				**	1!/$4c         C` s  t  j d d g d d g g ƒ } t  j d d d g d d d g g ƒ } t  j d d g g ƒ } t  j d d d g g ƒ } d	 } t  j d d
 d d d d d d d d g
 ƒ t  j d d d d d d d d d d g
 ƒ t  j d d d d d d  d! d" d# d$ g
 ƒ f } t | | | | | f d% d& ƒ\ } } t t | ƒ d' ƒ xP t d( t | ƒ ƒ D]9 }	 t | |	 j d( d& ƒ t | |	 j ƒ  | |	 ƒ qUWd) g d) d) g d	 f }
 t  j d d) d g ƒ } t |
 d% d' ƒ\ } } t t | ƒ d* ƒ t | d( j ƒ  | ƒ t	 |
 d( |
 d* ƒ d+ } t | d% d' ƒ\ } } t t | ƒ d* ƒ t | d( j ƒ  | ƒ t
 d* g d* d* g ƒ } t t t | ƒ d  S(,   NgÍÌÌÌÌÌì?gš™™™™™¹?gš™™™™™É¿gš™™™™™Ù?gš™™™™™¹¿g        gš™™™™™©?g333333Ó?g      à?g{®Gáz¤?g9´Èv¾Ÿª?gM„O¯¤?gùNÌz1”ƒ?g½«0™¢¿gÿÌ >°ã·¿gW	’N3Ä¿g€±ö+(Í¿g¢ÑGÓ¿g333333³¿gV-²­¿g,Ôšæ§¨¿g»aÛ¢Ì¦¿g±QÖo&¦§¿g*œî†~·ª¿gIØ·“ˆ¯¿gŽ‡p,%Ô²¿g’ [W¶¿g{®Gáz„¿g9´Èv¾ŸŠ¿gM„O¯„¿gùNÌz1”c¿g½«0™‚?gÿÌ >°ã—?gW	’N3¤?g€±ö+(­?g¢ÑG³?t   ni
   i   i    g      ð?i   (   g      à?(   R   R   R   R   R    t   rangeR!   R   t   flattenR   R   R%   R&   (   R'   R(   R)   R*   R+   R,   t   yout_step_truthR1   R2   t   it   tfint   yout_tfstept   zpkinR;   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt
   test_dsteph   s>    !'				'c         C` s  t  j d d g d d g g ƒ } t  j d d d g d d d g g ƒ } t  j d d g g ƒ } t  j d d d g g ƒ } d	 } t  j d d
 d d d d d d d d g
 ƒ t  j d d d d d d d d d d g
 ƒ t  j d d d d d d  d! d" d# d$ g
 ƒ f } t | | | | | f d% d& ƒ\ } } t t | ƒ d' ƒ xP t d( t | ƒ ƒ D]9 }	 t | |	 j d( d& ƒ t | |	 j ƒ  | |	 ƒ qUWd) g d) d) g d	 f }
 t  j d d) d* g ƒ } t |
 d% d' ƒ\ } } t t | ƒ d+ ƒ t | d( j ƒ  | ƒ t	 |
 d( |
 d+ ƒ d, } t | d% d' ƒ\ } } t t | ƒ d+ ƒ t | d( j ƒ  | ƒ t
 d+ g d+ d+ g ƒ } t t t | ƒ d  S(-   NgÍÌÌÌÌÌì?gš™™™™™¹?gš™™™™™É¿gš™™™™™Ù?gš™™™™™¹¿g        gš™™™™™©?g333333Ó?g      à?g{®Gáz¤?gú~j¼t“ˆ?gàœ¥½Á‡¿g†r¢]…”Ÿ¿g{¿ÑŽ~§¿gBî"LQ.­¿g°E_nƒ°¿gRPÉº1±¿g‰ã1%Èÿ±¿gš™™™™™™?gœÄ °rh‘?g±¿ìž<,„?gd’‘³°§m?gZÕ’Žr0[¿gÍSÂ¸ÀŠx¿g^³¦ÃTDƒ¿gg#„Ú~ˆ¿g}T`³Œ¿g{®Gáz„¿gú~j¼t“h¿gàœ¥½Ág?g†r¢]…”?g{¿ÑŽ~‡?gBî"LQ.?g°E_nƒ?gRPÉº1‘?g‰ã1%Èÿ‘?R=   i
   i   i    g      ð?g      ð¿i   (   g      à?(   R   R   R   R   R    R>   R!   R   R?   R   R   R%   R&   (   R'   R(   R)   R*   R+   R,   t   yout_imp_truthR1   R2   RA   RB   t   yout_tfimpulseRD   R;   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt   test_dimpulse•   s<    !'			'c   
      C` sô   t  j d g g ƒ } t  j d g g ƒ } t  j d g g ƒ } t  j d g g ƒ } d } t  j | ƒ j d d ƒ } t | | | | d f | ƒ \ } } }	 t | t  j t | ƒ ƒ ƒ t | t  j | d f ƒ ƒ t |	 t  j | d f ƒ ƒ d  S(   Ng        i   iÿÿÿÿi   (   R   R#   t   zerosR"   R   R   t   aranget   float(
   R'   R(   R)   R*   R+   R=   R-   R1   R2   R3   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt   test_dlsim_trivialÁ   s    'c         C` s  t  j d g g ƒ } t  j d g g ƒ } t  j d g g ƒ } t  j d g g ƒ } d } t  j | ƒ j d d ƒ } t | | | | d f | d d ƒ\ } } }	 t | t  j t | ƒ ƒ ƒ d t  j t | ƒ ƒ j d d ƒ }
 t | |
 ƒ t |	 |
 ƒ d  S(   Ng      à?g        g      ð?i   iÿÿÿÿi   t   x0(   R   R#   RI   R"   R   R   RJ   RK   (   R'   R(   R)   R*   R+   R=   R-   R1   R2   R3   t   expected(    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt   test_dlsim_simple1dÍ   s    -%c         C` s@  d } d } t  j | d g d | g g ƒ } t  j d g d g g ƒ } t  j d d g d d g g ƒ } t  j d g d g g ƒ } d } t  j | ƒ j d d ƒ } t | | | | d f | d d ƒ\ }	 }
 } t |	 t  j t | ƒ ƒ ƒ t  j | | g ƒ t  j t | ƒ ƒ j d d ƒ } t |
 | ƒ t | | ƒ d  S(	   Ng      à?g      Ð?g        g      ð?i   iÿÿÿÿi   RM   (   R   R#   RI   R"   R   R   RJ   RK   (   R'   t   lambda1t   lambda2R(   R)   R*   R+   R=   R-   R1   R2   R3   RN   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt   test_dlsim_simple2dÚ   s$    -"c         C` s8  d } d } t  j | d g d | g g ƒ } t  j d d g d d g g ƒ } t  j d d g g ƒ } t  j d d g g ƒ } d } t | | | | d f d | ƒ\ } }	 d d | d | t  j | ƒ }
 d d | d | t  j | ƒ } t |	 d d  d  … d f |
 ƒ t |	 d d  d  … d f | ƒ t  j d d g ƒ } t | | | | d f d | d	 | ƒ\ } } t  j | | g ƒ t  j d
 | d ƒ j d
 d ƒ } d | d d  d  … f <| d  | … d f t  j | d | d … d  d  … f | ƒ } | d  | … d f t  j | d | d … d  d  … f | ƒ } t | d d  d  … d f | ƒ t | d d  d  … d f | ƒ d g d d g d f } t | d d ƒ\ } \ } t | d d d g ƒ t | j	 d d d g g ƒ t | d d ƒ\ } \ } t | d d d g ƒ t | j	 d d d g g ƒ d  S(   Ng      à?g      è?g        g      ð?i
   i   R=   i    RM   iÿÿÿÿg      à¿gš™™™™™¹?i   gš™™™™™É?g      ø?(
   R   R#   R   RJ   R   R   R"   t   dotR   t   T(   R'   RP   RQ   R(   R)   R*   R+   R=   t   tst   yst   stp0t   stp1RM   t   tit   yit   impt   y0t   y1R;   t   tt   y(    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt   test_more_step_and_impulseï   s<    '##!!-#@@!!(	   t   __name__t
   __module__R<   RE   RH   RL   RO   RR   R`   (    (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyR      s   	U	-	,			t   TestDltic           B` s   e  Z d  „  Z RS(   c         C` s}  d } t  d g d g d | ƒ} t t | t ƒ ƒ t t | t  ƒ ƒ t t | t ƒ ƒ t | j | ƒ t  t j g  ƒ t j d g ƒ d d | ƒ} t t | t	 ƒ ƒ t t | t  ƒ ƒ t t | t ƒ ƒ t | j | ƒ t  d g d g d d d | ƒ} t t | t
 ƒ ƒ t t | t  ƒ ƒ t t | t ƒ ƒ t | j | ƒ t t t  d ƒ t t t  d d d d d ƒ d  S(   Ngš™™™™™©?i   iÿÿÿÿR,   i   (   R   R   t
   isinstanceR   R   R   R,   R   R#   R   R   R%   t
   ValueError(   R'   R,   t   s(    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt   test_dlti_instantiation  s$    -!(   Ra   Rb   Rg   (    (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyRc     s   t   TestStateSpaceDiscc           B` s#   e  Z d  „  Z d „  Z d „  Z RS(   c         C` sÓ   d } t  d d d d d | ƒ} t  d g d g d g d g d | ƒ} t  t j d d g d d g g ƒ t j d g d g g ƒ t j d d g g ƒ t j d g g ƒ d | ƒ} t  d d d d d t ƒ} d  S(   Ngš™™™™™©?i   R,   i   i   i   i    (   R   R   R#   t   True(   R'   R,   Rf   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt   test_initialization>  s    '93c         C` s–   t  d d d d d d ƒ} t t | j ƒ  t  ƒ ƒ t t | j ƒ  t ƒ ƒ t t | j ƒ  t ƒ ƒ t t  | ƒ | k	 ƒ t | j ƒ  | k	 ƒ d  S(   Ni   i   i   i   R,   gš™™™™™©?(   R   R   Rd   t   to_sst   to_tfR   t   to_zpkR   (   R'   Rf   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt   test_conversionG  s    c         C` sE   t  d d d d d d ƒ} t | j d g ƒ t | j d g ƒ d  S(   Ni   R,   gš™™™™™©?i    (   R   R   t   polesRI   (   R'   Rf   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt   test_propertiesR  s    (   Ra   Rb   Rj   Rn   Rp   (    (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyRh   =  s   			t   TestTransferFunctionc           B` s#   e  Z d  „  Z d „  Z d „  Z RS(   c         C` s|   d } t  d d d | ƒ} t  d g d g d | ƒ} t  t j d g ƒ t j d g ƒ d | ƒ} t  d d d t ƒ} d  S(   Ngš™™™™™©?i   R,   i   (   R   R   R#   Ri   (   R'   R,   Rf   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyRj   ]  s
    -c         C` sœ   t  d d g d d g d d ƒ} t t | j ƒ  t ƒ ƒ t t | j ƒ  t  ƒ ƒ t t | j ƒ  t ƒ ƒ t t  | ƒ | k	 ƒ t | j ƒ  | k	 ƒ d  S(   Ni   i    iÿÿÿÿR,   gš™™™™™©?(   R   R   Rd   Rk   R   Rl   Rm   R   (   R'   Rf   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyRn   e  s    !c         C` sK   t  d d g d d g d d ƒ} t | j d g ƒ t | j d g ƒ d  S(   Ni   i    iÿÿÿÿR,   gš™™™™™©?(   R   R   Ro   RI   (   R'   Rf   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyRp   p  s    !(   Ra   Rb   Rj   Rn   Rp   (    (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyRq   \  s   		t   TestZerosPolesGainc           B` s   e  Z d  „  Z d „  Z RS(   c         C` sˆ   d } t  d d d d | ƒ} t  d g d g d d | ƒ} t  t j d g ƒ t j d g ƒ d d | ƒ} t  d d d d t ƒ} d  S(   Ngš™™™™™©?i   R,   i   (   R   R   R#   Ri   (   R'   R,   Rf   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyRj   {  s
    0c         C` s“   t  d d d d d ƒ} t t | j ƒ  t ƒ ƒ t t | j ƒ  t ƒ ƒ t t | j ƒ  t  ƒ ƒ t t  | ƒ | k	 ƒ t | j ƒ  | k	 ƒ d  S(   Ni   i   i   R,   gš™™™™™©?(   R   R   Rd   Rk   R   Rl   R   Rm   (   R'   Rf   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyRn   ƒ  s    (   Ra   Rb   Rj   Rn   (    (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyRr   z  s   	t   Test_dfreqrespc           B` sG   e  Z d  „  Z d „  Z d „  Z d „  Z d „  Z d „  Z d „  Z RS(   c         C` s   t  d d d g d d ƒ} d d d g } t | d | ƒ\ } } d d d	 g } t | j | d
 d ƒd d d g } t | j | d
 d ƒd  S(   Ni   gš™™™™™É¿R,   gš™™™™™¹?i
   t   wgU0*©Ðó?g;ßO—nÚ?gÏfÕçj+è¿t   decimali   g•C‹lçÃ¿g&Â†§Wð¿gZd;ßOÙ?(   R   R   R   t   realt   imag(   R'   R;   Rt   t   Ht   expected_ret   expected_im(    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt   test_manual‘  s    c         C` s¶   t  d d d g d d ƒ} d d d d g } t | d | ƒ\ } } t j | d ƒ } t j | j | ƒ t j | j | ƒ } | j } t | j | ƒ | j	 } t | j	 | ƒ d  S(	   Ni   gš™™™™™É¿R,   gš™™™™™¹?i
   id   Rt   y              ð?(
   R   R   R   t   expt   polyvalR   R6   Rv   R   Rw   (   R'   R;   Rt   Rx   t   jwR_   Ry   Rz   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt	   test_auto   s    (		c         C` sh   t  d d d g d d ƒ} d } t j d t j d d t ƒ} t | d | ƒ\ } } t | | ƒ d  S(	   Ni   gš™™™™™É¿R,   gš™™™™™¹?i
   i    t   endpointR=   (   R   R   R   t   pit   FalseR   R   (   R'   R;   R=   t
   expected_wRt   Rx   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt   test_freq_range±  s
    c         C` sƒ   t  d g d d g d d ƒ} t ƒ  E } | j t d d ƒ| j t d d ƒt | d d	 ƒ\ } } Wd  QXt | d
 d ƒ d  S(   Ni   iÿÿÿÿR,   gš™™™™™¹?t   messages   divide by zeros   invalid value encounteredR=   i   i    g        (   R   R
   t   filtert   RuntimeWarningR   R   (   R'   R;   t   supRt   Rx   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt   test_pole_one»  s    c         C` s,   t  d g d d g ƒ } t t t | ƒ d  S(   Ni   (   R   R%   R&   R   (   R'   R;   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt
   test_errorÆ  s    c         C` s  t  d g d d d d g ƒ } t j d d d g d d d g d d d g g ƒ } t j d d d g g ƒ j } t j d d d g g ƒ } d } t  | | | | ƒ } d t j d d d ƒ } t ƒ  D } | j t ƒ t | d | ƒ\ }	 }
 t | d | ƒ\ } } Wd  QXt	 |
 | ƒ d  S(	   Ni   i   g      à¿i    g      à?g      $@iýÿÿÿRt   (
   R   R   R#   RT   RJ   R
   R†   R   R   R   (   R'   t	   system_TFt   At   Bt   Ct   Dt	   system_SSRt   Rˆ   t   w1t   H1t   w2t   H2(    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt   test_from_state_spaceË  s    c         C` s}   t  g  d g d ƒ } t  d d d g ƒ } d d d d g } t | d | ƒ\ } } t | d | ƒ\ } } t | | ƒ d  S(	   Ngš™™™™™É?g333333Ó?i   gš™™™™™É¿gš™™™™™¹?i
   id   Rt   (   R   R   R   (   R'   t
   system_ZPKR‹   Rt   R‘   R’   R“   R”   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt   test_from_zpkà  s    (	   Ra   Rb   R{   R   R„   R‰   RŠ   R•   R—   (    (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyRs     s   			
			t	   Test_bodec           B` s>   e  Z d  „  Z d „  Z d „  Z d „  Z d „  Z d „  Z RS(   c   	      C` s¹   d } t  d d d g d | ƒ} d d d t j g } t | d | ƒ\ } } } d d	 d
 d g } t | | d d ƒd d d d g } t | | d d ƒt t j | ƒ | | ƒ d  S(   Ngš™™™™™¹?g333333Ó?i   gš™™™™™É¿R,   g      à?Rt   g©ÐDØ!Àgvqà­!Àg$—ÿ~;#Àg¾0™*(ÀRu   i   gáz®G¡ÀgŒJê¤AÀg_)ËÇþPÀg     €fÀ(   R   R   R   R   R   R   R#   (	   R'   R,   R;   Rt   R“   t   magt   phaset   expected_magt   expected_phase(    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyR{   ì  s    c   
      C` sÞ   t  d d d g d d ƒ} t j d d d t j g ƒ } t | d | ƒ\ } } } t j | d ƒ } t j | j | ƒ t j | j | ƒ } d	 t j	 t
 | ƒ ƒ } t | | ƒ t j t j | ƒ ƒ }	 t | |	 ƒ d  S(
   Ng333333Ó?i   gš™™™™™É¿R,   gš™™™™™¹?g      à?Rt   y              ð?g      4@(   R   R   R#   R   R   R|   R}   R   R6   t   log10t   absR   t   rad2degt   angle(
   R'   R;   Rt   R“   R™   Rš   R~   R_   R›   Rœ   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyR   ÿ  s    (c         C` su   d } t  d d d g d d ƒ} d } t j d t j | d t ƒ| } t | d	 | ƒ\ } } } t | | ƒ d  S(
   Ngš™™™™™¹?g333333Ó?i   gš™™™™™É¿R,   i
   i    R€   R=   (   R   R   R   R   R‚   R   R   (   R'   R,   R;   R=   Rƒ   Rt   R™   Rš   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt
   test_range  s    "c         C` s†   t  d g d d g d d ƒ} t ƒ  H } | j t d d ƒ| j t d d ƒt | d d	 ƒ\ } } } Wd  QXt | d
 d ƒ d  S(   Ni   iÿÿÿÿR,   gš™™™™™¹?R…   s   divide by zeros   invalid value encounteredR=   i   i    g        (   R   R
   R†   R‡   R   R   (   R'   R;   Rˆ   Rt   R™   Rš   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyR‰     s    !c         C` s5   t  d g d d d g d d ƒ} t | d d ƒd  S(   Ni   i    id   R,   gš™™™™™¹?R=   i   (   R   R   (   R'   R;   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt   test_imaginary&  s    !c         C` s,   t  d g d d g ƒ } t t t | ƒ d  S(   Ni   (   R   R%   R&   R   (   R'   R;   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyRŠ   ,  s    (   Ra   Rb   R{   R   R¡   R‰   R¢   RŠ   (    (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyR˜   ê  s   					t   TestTransferFunctionZConversionc           B` s)   e  Z d  Z d „  Z d „  Z d „  Z RS(   s=   Test private conversions between 'z' and 'z**-1' polynomials.c         C` s†   d d d g } d d d g } t  j | | ƒ \ } } t | | ƒ t | | ƒ t  j | | ƒ \ } } t | | ƒ t | | ƒ d  S(   Ni   i   i   i   i   i   (   R   t
   _z_to_zinvR   t
   _zinv_to_z(   R'   R   R6   t   num2t   den2(    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt	   test_full5  s    c         C` s•   d d g } d d d g } t  j | | ƒ \ } } t d d d g | ƒ t | | ƒ t  j | | ƒ \ } } t d d d g | ƒ t | | ƒ d  S(   Ni   i   i   i   i   i    (   R   R¤   R   R¥   (   R'   R   R6   R¦   R§   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt   test_numeratorA  s    c         C` s•   d d d g } d d g } t  j | | ƒ \ } } t | | ƒ t d d d g | ƒ t  j | | ƒ \ } } t | | ƒ t d d d g | ƒ d  S(   Ni   i   i   i   i   i    (   R   R¤   R   R¥   (   R'   R   R6   R¦   R§   (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt   test_denominatorM  s    (   Ra   Rb   t   __doc__R¨   R©   Rª   (    (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyR£   2  s   		((   t
   __future__R    R   R   t   numpyR   t   numpy.testingR   R   R   R   R   R   t   pytestR	   R%   t   scipy._lib._numpy_compatR
   t   scipy.signalR   R   R   R   R   R   R   R   R   R   R   R   t   objectR   Rc   Rh   Rq   Rr   Rs   R˜   R£   (    (    (    s>   lib/python2.7/site-packages/scipy/signal/tests/test_dltisys.pyt   <module>   s   .Rÿ [H