o
    8Va                     @   s~  d dl mZ d dlmZmZmZmZmZmZ d dl	m
Z
mZmZ d dl	mZ d dlmZmZ d dlmZmZmZmZmZmZmZmZmZmZmZ d dlmZ d dlm Z  dd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* Z0d+d, Z1d-d. Z2d/d0 Z3d1d2 Z4d3d4 Z5d5d6 Z6d7d8 Z7d9d: Z8d;d< Z9d=d> Z:d?d@ Z;dAdB Z<dCdD Z=dEdF Z>dGdH Z?dIdJ Z@dKdL ZAdMdN ZBdOdP ZCdQdR ZDdSdT ZEdUdV ZFdWdX ZGdYdZ ZHd[d\ ZId]d^ ZJd_d` ZKdadb ZLdcdd ZMdedf ZNdgdh ZOdidj ZPdkdl ZQdmdn ZRdodp ZSdqdr ZTdsdt ZUdudv ZVdwdx ZWdydz ZXd{d| ZYd}d~ ZZdS )    )StringIO)symbolsEqpiCatalanLambdaDummy)erfIntegralSymbol)Equality)MatrixMatrixSymbol)codegenmake_routineCCodeGen
C89CodeGen
C99CodeGenInputArgumentCodeGenErrorFCodeGenCodeGenArgumentListErrorOutputArgumentInOutArgument)raises)implemented_functionfileFc                 C   s*   t  }| ||||| | }|  |S )a5  Wrapper for dump_fn. dump_fn writes its results to a stream object and
       this wrapper returns the contents of that stream as a string. This
       auxiliary function is used by many tests below.

       The header and the empty lines are not generated to facilitate the
       testing of the output.
    )r   getvalueclose)Zdump_fnZroutinesprefixheaderemptyoutputsource r$   D/usr/lib/python3/dist-packages/sympy/utilities/tests/test_codegen.py
get_string   s
   r&   c                     s  t d\   ttfdd tt fdd tdt  gd} dd | jD  gksDJ d	d | jD ttttgksTJ tdtgd} d
d | jD tttgkspJ ddl	m
}m} t|ddg\}}t ddd}|d|}tdt|| || |||gd} dd | jD |j|j|gksJ t  ddfddftdt  gd} dd | jD  gksJ d S )Nza x y zc                      s   t d gdS Ntestargument_sequencer   r$   )exprxzr$   r%   <lambda>$   s    z-test_Routine_argument_order.<locals>.<lambda>c                      s   t dt gdS r'   )r   r   r$   ar,   r-   yr.   r$   r%   r/   &   s
    r(   r)   c                 S      g | ]}|j qS r$   name.0argr$   r$   r%   
<listcomp>)       z/test_Routine_argument_order.<locals>.<listcomp>c                 S      g | ]}t |qS r$   typer6   r$   r$   r%   r9   *       c                 S   r;   r$   r<   r6   r$   r$   r%   r9   -   r>   r   IndexedBaseIdxABmTintegeric                 S   r3   r$   r4   r6   r$   r$   r%   r9   5   r:            c                 S   r3   r$   r4   r6   r$   r$   r%   r9   9   r:   )r   r   r   r   r   	argumentsr   r   r   sympy.tensorr@   rA   maplabelr
   )rr@   rA   rB   rC   rD   rG   r$   r0   r%   test_Routine_argument_order!   s,    


"" $rP   c                  C   "   t  } t| jg }|dksJ d S )Nz$#include "file.h"
#include <math.h>
r   r&   dump_ccode_genr#   r$   r$   r%   test_empty_c_code<      rV   c                  C   B   t  } t| jg dd}|d d dksJ |dd  dksJ d S )NTr    R   zR/******************************************************************************
 *   a  *
 *                                                                            *
 *              See http://www.sympy.org/ for more information.               *
 *                                                                            *
 *                       This file is part of 'project'                       *
 ******************************************************************************/
#include "file.h"
#include <math.h>
rR   rT   r$   r$   r%   test_empty_c_code_with_commentB      
r\   c                  C   rQ   )Nz9#ifndef PROJECT__FILE__H
#define PROJECT__FILE__H
#endif
)r   r&   dump_hrT   r$   r$   r%   test_empty_c_headerT   rW   r_   c                  C   L   t d\} }}| | | }td|}t }t|j|g}d}||ks$J d S )Nx,y,zr(   #include "file.h"
#include <math.h>
double test(double x, double y, double z) {
   double test_result;
   test_result = z*(x + y);
   return test_result;
}
r   r   r   r&   rS   r-   r2   r.   r,   routinerU   r#   expectedr$   r$   r%   test_simple_c_codeZ      
	rg   c                  C   r`   )Nzif, typedef, whiler(   z#include "file.h"
#include <math.h>
double test(double if_, double typedef_, double while_) {
   double test_result;
   test_result = while_*(if_ + typedef_);
   return test_result;
}
)r   r   r   r&   rS   rd   r$   r$   r%   test_c_code_reserved_wordsl   rh   ri   c                  C   s@   t dtt } t }t|j| g}dtd }||ksJ d S )Nr(   z#include "file.h"
#include <math.h>
double test() {
   double test_result;
   double const Catalan = %s;
   test_result = pow(M_PI, Catalan);
   return test_result;
}
   )r   r   r   r   r&   rS   evalfre   rU   r#   rf   r$   r$   r%   test_numbersymbol_c_code~   s   
rm   c                  C   R   t d\} }}| | }td||| |gd}t }t|j|g}d}||ks'J d S )Nra   r(   r)   z#include "file.h"
#include <math.h>
double test(double z, double x, double y) {
   double test_result;
   test_result = x + y;
   return test_result;
}
rc   rd   r$   r$   r%   test_c_code_argument_order      	ro   c                  C   r`   )Nra   r(   d#ifndef PROJECT__FILE__H
#define PROJECT__FILE__H
double test(double x, double y, double z);
#endif
)r   r   r   r&   r^   rd   r$   r$   r%   test_simple_c_header   s   
rr   c                  C   sH   t d\} }}| | | }ddg}td|fddddd}||ks"J d S )	Nra   )file.crb   )file.hrq   r(   Cr   Fr    r!   r   r   )r-   r2   r.   r,   rf   resultr$   r$   r%   test_simple_c_codegen   s   ry   c                     R   t d\} }}| | | }| | | }td||gt  tt fdd d S )Nra   r(   c                         t  jgS Nr&   r^   r$   rU   re   r$   r%   r/          z)test_multiple_results_c.<locals>.<lambda>)r   r   r   r   r   r-   r2   r.   expr1expr2r$   r~   r%   test_multiple_results_c      r   c                   C      t tdd  d S )Nc                   S   
   t dg S Nr(   r+   r$   r$   r$   r%   r/         
 z#test_no_results_c.<locals>.<lambda>r   
ValueErrorr$   r$   r$   r%   test_no_results_c      r   c                  C   sL  ddl m} m}m}m}m}m}m}m}m	}m
}	m}
m}m}m}m} td}d||fd| |fd||fd||fd||fd	||fd
||fd||fd||fd||fd|	|fd|
|fd||fd||fd||fg}t|ddddd}|d d dksJ |d d dksJ |d d dksJ |d d dksJ d S )Nr   )acosasinatanceilingcoscoshfloorloglnsinsinhsqrttantanhAbsr-   Z	test_fabs	test_acos	test_asin	test_atanZ	test_ceiltest_cos	test_coshZ
test_floortest_logtest_lntest_sin	test_sinh	test_sqrttest_tan	test_tanhC89r   Frv   rs   rH   a  #include "file.h"
#include <math.h>
double test_fabs(double x) {
   double test_fabs_result;
   test_fabs_result = fabs(x);
   return test_fabs_result;
}
double test_acos(double x) {
   double test_acos_result;
   test_acos_result = acos(x);
   return test_acos_result;
}
double test_asin(double x) {
   double test_asin_result;
   test_asin_result = asin(x);
   return test_asin_result;
}
double test_atan(double x) {
   double test_atan_result;
   test_atan_result = atan(x);
   return test_atan_result;
}
double test_ceil(double x) {
   double test_ceil_result;
   test_ceil_result = ceil(x);
   return test_ceil_result;
}
double test_cos(double x) {
   double test_cos_result;
   test_cos_result = cos(x);
   return test_cos_result;
}
double test_cosh(double x) {
   double test_cosh_result;
   test_cosh_result = cosh(x);
   return test_cosh_result;
}
double test_floor(double x) {
   double test_floor_result;
   test_floor_result = floor(x);
   return test_floor_result;
}
double test_log(double x) {
   double test_log_result;
   test_log_result = log(x);
   return test_log_result;
}
double test_ln(double x) {
   double test_ln_result;
   test_ln_result = log(x);
   return test_ln_result;
}
double test_sin(double x) {
   double test_sin_result;
   test_sin_result = sin(x);
   return test_sin_result;
}
double test_sinh(double x) {
   double test_sinh_result;
   test_sinh_result = sinh(x);
   return test_sinh_result;
}
double test_sqrt(double x) {
   double test_sqrt_result;
   test_sqrt_result = sqrt(x);
   return test_sqrt_result;
}
double test_tan(double x) {
   double test_tan_result;
   test_tan_result = tan(x);
   return test_tan_result;
}
double test_tanh(double x) {
   double test_tanh_result;
   test_tanh_result = tanh(x);
   return test_tanh_result;
}
rt   a  #ifndef PROJECT__FILE__H
#define PROJECT__FILE__H
double test_fabs(double x);
double test_acos(double x);
double test_asin(double x);
double test_atan(double x);
double test_ceil(double x);
double test_cos(double x);
double test_cosh(double x);
double test_floor(double x);
double test_log(double x);
double test_ln(double x);
double test_sin(double x);
double test_sinh(double x);
double test_sqrt(double x);
double test_tan(double x);
double test_tanh(double x);
#endif
)sympyr   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   )r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r-   	name_exprrx   r$   r$   r%   test_ansi_math1_codegen   s6   D
















r   c                  C   s   ddl m}  td\}}d| ||fd|| fg}t|ddddd	}|d d d
ks,J |d d dks6J |d d dks@J |d d dksJJ d S )Nr   atan2x,y
test_atan2test_powr   r   Frv   rs   rH   a*  #include "file.h"
#include <math.h>
double test_atan2(double x, double y) {
   double test_atan2_result;
   test_atan2_result = atan2(x, y);
   return test_atan2_result;
}
double test_pow(double x, double y) {
   double test_pow_result;
   test_pow_result = pow(x, y);
   return test_pow_result;
}
rt   z#ifndef PROJECT__FILE__H
#define PROJECT__FILE__H
double test_atan2(double x, double y);
double test_pow(double x, double y);
#endif
r   r   r   r   )r   r-   r2   r   rx   r$   r$   r%   test_ansi_math2_codegen  s   


r   c                  C   s   ddl m} m}m} td\}}}d| ||| || d  fd|||||||||| | fg}t|ddd	d	d
}|d d dksNJ |d d dksXJ |d d dksbJ |d d dkslJ d S )Nr   r   r   r   ra   test1   test2r   r   Frv   rs   rH   a-  #include "file.h"
#include <math.h>
double test1(double x, double y, double z) {
   double test1_result;
   test1_result = pow(sin(x), 7) + 7*pow(sin(x), 6)*cos(y) + 7*pow(sin(x), 6)*tan(z) + 21*pow(sin(x), 5)*pow(cos(y), 2) + 42*pow(sin(x), 5)*cos(y)*tan(z) + 21*pow(sin(x), 5)*pow(tan(z), 2) + 35*pow(sin(x), 4)*pow(cos(y), 3) + 105*pow(sin(x), 4)*pow(cos(y), 2)*tan(z) + 105*pow(sin(x), 4)*cos(y)*pow(tan(z), 2) + 35*pow(sin(x), 4)*pow(tan(z), 3) + 35*pow(sin(x), 3)*pow(cos(y), 4) + 140*pow(sin(x), 3)*pow(cos(y), 3)*tan(z) + 210*pow(sin(x), 3)*pow(cos(y), 2)*pow(tan(z), 2) + 140*pow(sin(x), 3)*cos(y)*pow(tan(z), 3) + 35*pow(sin(x), 3)*pow(tan(z), 4) + 21*pow(sin(x), 2)*pow(cos(y), 5) + 105*pow(sin(x), 2)*pow(cos(y), 4)*tan(z) + 210*pow(sin(x), 2)*pow(cos(y), 3)*pow(tan(z), 2) + 210*pow(sin(x), 2)*pow(cos(y), 2)*pow(tan(z), 3) + 105*pow(sin(x), 2)*cos(y)*pow(tan(z), 4) + 21*pow(sin(x), 2)*pow(tan(z), 5) + 7*sin(x)*pow(cos(y), 6) + 42*sin(x)*pow(cos(y), 5)*tan(z) + 105*sin(x)*pow(cos(y), 4)*pow(tan(z), 2) + 140*sin(x)*pow(cos(y), 3)*pow(tan(z), 3) + 105*sin(x)*pow(cos(y), 2)*pow(tan(z), 4) + 42*sin(x)*cos(y)*pow(tan(z), 5) + 7*sin(x)*pow(tan(z), 6) + pow(cos(y), 7) + 7*pow(cos(y), 6)*tan(z) + 21*pow(cos(y), 5)*pow(tan(z), 2) + 35*pow(cos(y), 4)*pow(tan(z), 3) + 35*pow(cos(y), 3)*pow(tan(z), 4) + 21*pow(cos(y), 2)*pow(tan(z), 5) + 7*cos(y)*pow(tan(z), 6) + pow(tan(z), 7);
   return test1_result;
}
double test2(double x, double y, double z) {
   double test2_result;
   test2_result = cos(cos(cos(cos(cos(cos(cos(cos(x + y + z))))))));
   return test2_result;
}
rt   z#ifndef PROJECT__FILE__H
#define PROJECT__FILE__H
double test1(double x, double y, double z);
double test2(double x, double y, double z);
#endif
r   r   r   r   r   expandr   )r   r   r   r-   r2   r.   r   rx   r$   r$   r%   test_complicated_codegen&  s   ".
1
r   c                  C   s4  ddl m} m} ddlm} |ddd\}}| d}| d}| d	}|d
|}|d|}	tdt|| |||	f ||	  fddddd\\}
}\}}|
dksPJ d}||dd|| |	  i ks||dd|	||   i ks||dd|| |	  i ks||dd|	||   i ksJ |dksJ |dksJ d S )Nr   r?   r   n mTrE   rB   r-   r2   rG   jmatrix_vectorC99r   Frv   rs   a  #include "file.h"
#include <math.h>
void matrix_vector(double *A, int m, int n, double *x, double *y) {
   for (int i=0; i<m; i++){
      y[i] = 0;
   }
   for (int i=0; i<m; i++){
      for (int j=0; j<n; j++){
         y[i] = %(rhs)s + y[i];
      }
   }
}
rhs
A[%s]*x[j]
x[j]*A[%s]rt   z|#ifndef PROJECT__FILE__H
#define PROJECT__FILE__H
void matrix_vector(double *A, int m, int n, double *x, double *y);
#endif
rL   r@   rA   r   r   r   r   r@   rA   r   nrD   rB   r-   r2   rG   r   f1codef2	interfacerf   r$   r$   r%   test_loops_cj  s2   

(r   c                  C   s   ddl m} m} tddtd\}}| d}| d}|||}d|jj|jd	 }td
t|| || }t	 }t
 }	t|	j|g}
|
|ksGJ tt t|j|g W d    d S 1 s^w   Y  d S )Nr   r?   i mTrF   clsr-   r2   z#include "file.h"
#include <math.h>
void test_dummies(int m_%(mno)i, double *x, double *y) {
   for (int i_%(ino)i=0; i_%(ino)i<m_%(mno)i; i_%(ino)i++){
      y[i_%(ino)i] = x[i_%(ino)i];
   }
}
)ZinoZmnotest_dummies)rL   r@   rA   r   r   rN   dummy_indexr   r   r   r   r&   rS   r   NotImplementedError)r@   rA   rG   rD   r-   r2   rf   rO   Zc89c99r   r$   r$   r%   test_dummy_loops_c  s    
	
"r   c                  C   sV  ddl m} m} ddlm} |ddd\}}}}| d||fd}| d	}| d
}	|d||d f}
|d|}tdt|	|
 ||
|f ||  fddddd\\}}\}}|dksZJ d|d dd }||dd|
| |  i ks||dd||
|   i ks||dd|
| |  i ks||dd||
|   i ksJ |dksJ |dksJ d S )Nr   r?   r   n m o pTrE   rB   shaper-   r2   rG      r   r   r   r   Frv   rs   a#  #include "file.h"
#include <math.h>
void matrix_vector(double *A, int m, int n, int o, int p, double *x, double *y) {
   for (int i=o; i<%(upperi)s; i++){
      y[i] = 0;
   }
   for (int i=o; i<%(upperi)s; i++){
      for (int j=0; j<n; j++){
         y[i] = %(rhs)s + y[i];
      }
   }
}
   %(rhs)s)Zupperir   r   r   r   rt   z#ifndef PROJECT__FILE__H
#define PROJECT__FILE__H
void matrix_vector(double *A, int m, int n, int o, int p, double *x, double *y);
#endif
r   r@   rA   r   r   rD   oprB   r-   r2   rG   r   r   r   r   r   rf   r$   r$   r%   test_partial_loops_c  s4   
(r   c            
      C      ddl m} m}m} td\}}}td||| |||g}t }|j|gdddd}|d d dks6J d	}	|d d
 |	ksBJ d S )Nr   r   r   r   ra   foor(   Frv   test.cz#include "test.h"
#include <math.h>
double foo(double x, double *y) {
   (*y) = sin(x);
   double foo_result;
   foo_result = cos(x);
   return foo_result;
}
rH   r   r   r   r   r   r   r   write
r   r   r   r-   r2   r.   rO   crx   rf   r$   r$   r%   test_output_arg_c     
r   c            
      C   r   )Nr   r   zif, while, zr   r(   Frv   r   z#include "test.h"
#include <math.h>
double foo(double if_, double *while_) {
   (*while_) = sin(if_);
   double foo_result;
   foo_result = cos(if_);
   return foo_result;
}
rH   r   r   r$   r$   r%    test_output_arg_c_reserved_words  r   r   c            	      C   s   t ddd} t ddd}t| }t|}|| }tddd}|d|}d	|jd
 _d	|jd
 _t|j|gdd}d}||ksAJ d S )NrB   rJ   brH   r(   T)Zprojectcser   out)r   a  #include "test.h"
#include <math.h>
void c(double *A, double *b, double *out) {
   double x0[9];
   x0[0] = A[0];
   x0[1] = A[1];
   x0[2] = A[2];
   x0[3] = A[3];
   x0[4] = A[4];
   x0[5] = A[5];
   x0[6] = A[6];
   x0[7] = A[7];
   x0[8] = A[8];
   double x1[3];
   x1[0] = b[0];
   x1[1] = b[1];
   x1[2] = b[2];
   const double x2 = x1[0];
   const double x3 = x1[1];
   const double x4 = x1[2];
   out[0] = x2*x0[0] + x3*x0[1] + x4*x0[2];
   out[1] = x2*x0[3] + x3*x0[4] + x4*x0[5];
   out[2] = x2*x0[6] + x3*x0[7] + x4*x0[8];
}
)	r   r   r   re   rK   Z
result_var_namer&   rS   )	ZA_symZb_symrB   r   r   ZcgenrO   r   rf   r$   r$   r%   test_multidim_c_argument_cse  s   r   c                  C   s   t d\} }}t d\}}tddd}t|tdd| gg}t|| | | }t|d|  }d|||gf}	d}
t|	d	dd
d
| |||||fd}|d d }||
ksSJ d S )Nra   B,CrB   rH   rJ   rI   r(   z#include "test.h"
#include <math.h>
void test(double x, double *C, double z, double y, double *A, double *B) {
   (*C) = z*(x + y);
   A[0] = 1;
   A[1] = 2;
   A[2] = x;
   (*B) = 2*x;
}
r   Fr    r!   r*   r   r   r   r   r   r   )r-   r2   r.   rC   ru   rB   r   r   expr3r   rf   rx   r#   r$   r$   r%    test_ccode_results_named_ordered'  s   r   c                  C   s   t ddd} t ddd}t ddd}t ddd}dt|| d	d d f t|| dd d f t|| d d d
f gf}t|ddddd}|d	 d }d}||ksQJ d S )NrB   r   rJ   rC   rH   ru   Dr(   r   rI   r   Frv   a  #include "test.h"
#include <math.h>
void test(double *A, double *B, double *C, double *D) {
   B[0] = A[0];
   B[1] = A[1];
   B[2] = A[2];
   C[0] = A[3];
   C[1] = A[4];
   C[2] = A[5];
   D[0] = A[2];
   D[1] = A[5];
   D[2] = A[8];
   D[3] = A[11];
   D[4] = A[14];
}
r   r   r   rB   rC   ru   r   r   rx   r#   rf   r$   r$   r%   test_ccode_matrixsymbol_sliceA     r   c            
      C   s   t d\} }}}tddd}dt|t| | g| | ||  g| | | | gggf}tdd}t||ddd	}|d
 d }d}	||	ksGJ d S )Nza b c derJ   rH   r(   T)r   F)rU   r    r!   r   z#include "test.h"
#include <math.h>
void test(double a, double b, double c, double d, double *e) {
   const double x0 = a*b;
   const double x1 = c*d;
   e[0] = x0;
   e[1] = x0 + x1;
   e[2] = x0*x1;
}
)r   r   r   r   r   r   )
r1   r   r   dr   r   	generatorrx   r#   rf   r$   r$   r%   test_ccode_cse^  s   <
r   c                  C   sJ   t ddd} d}t }t||dd| fd}|d d }d}||ks#J d S )	Nr-   rI   rH   )r(   g      ?F)rU   r    r!   r*   r   z#include "test.h"
#include <math.h>
double test(double *x) {
   double test_result;
   test_result = 1.0;
   return test_result;
}
)r   r   r   )r-   r   r   rx   r#   rf   r$   r$   r%   test_ccode_unused_array_argr  s   	r   c                  C   rQ   N r   r&   dump_f95rT   r$   r$   r%   test_empty_f_code  rW   r   c                  C   rX   )NTrY   rZ   zR!******************************************************************************
!*r[   a  *
!*                                                                            *
!*              See http://www.sympy.org/ for more information.               *
!*                                                                            *
!*                       This file is part of 'project'                       *
!******************************************************************************
r   rT   r$   r$   r%   test_empty_f_code_with_header  r]   r  c                  C   rQ   r   )r   r&   r^   rT   r$   r$   r%   test_empty_f_header  rW   r  c                  C   r`   )Nra   r(   REAL*8 function test(x, y, z)
implicit none
REAL*8, intent(in) :: x
REAL*8, intent(in) :: y
REAL*8, intent(in) :: z
test = z*(x + y)
end function
r   r   r   r&   r   rd   r$   r$   r%   test_simple_f_code  rh   r  c                  C   sJ   t dtt } t }t|j| g}dtdtdf }||ks#J d S )Nr(   zREAL*8 function test()
implicit none
REAL*8, parameter :: Catalan = %sd0
REAL*8, parameter :: pi = %sd0
test = pi**Catalan
end function
rj   )r   r   r   r   r&   r   rk   rl   r$   r$   r%   test_numbersymbol_f_code  s   r  c                  C   sN   t d} tdt| td|   }t }t|j|g}d}||ks%J |d S )Nr-   r(   zhREAL*8 function test(x)
implicit none
REAL*8, intent(in) :: x
test = erf(x) + erf(2.0d0*x)
end function
)r   r   r	   r   r&   r   )r-   re   rU   r#   rf   r$   r$   r%   test_erf_f_code  s   r  c                  C   rn   )Nra   r(   r)   zREAL*8 function test(z, x, y)
implicit none
REAL*8, intent(in) :: z
REAL*8, intent(in) :: x
REAL*8, intent(in) :: y
test = x + y
end function
r  rd   r$   r$   r%   test_f_code_argument_order  rp   r	  c                  C   r`   )Nra   r(   interface
REAL*8 function test(x, y, z)
implicit none
REAL*8, intent(in) :: x
REAL*8, intent(in) :: y
REAL*8, intent(in) :: z
end function
end interface
)r   r   r   r&   r^   rd   r$   r$   r%   test_simple_f_header  s   

r  c                  C   sH   t d\} }}| | | }td|fddddd}ddg}||ks"J d S )	Nra   r(   F95r   Frv   )file.f90r  )rt   r
  rw   )r-   r2   r.   r,   rx   rf   r$   r$   r%   test_simple_f_codegen  s   r  c                     rz   )Nra   r(   c                      r{   r|   r}   r$   r~   r$   r%   r/     r   z)test_multiple_results_f.<locals>.<lambda>)r   r   r   r   r   r   r$   r~   r%   test_multiple_results_f  r   r  c                   C   r   )Nc                   S   r   r   r+   r$   r$   r$   r%   r/     r   z#test_no_results_f.<locals>.<lambda>r   r$   r$   r$   r%   test_no_results_f  r   r  c                  C   s8  ddl m} m}m}m}m}m}m}m}m	}m
}	m}
m}m} td}d||fd| |fd||fd||fd||fd	||fd
||fd||fd||fd||fd|	|fd|
|fd||fg}t|ddddd}|d d dksxJ d}|d d |ksJ |d d dksJ d}|d d |ksJ d S )Nr   )r   r   r   r   r   r   r   r   r   r   r   r   r   r-   Ztest_absr   r   r   r   r   r   r   r   r   r   r   r   r  r   Frv   r  a   REAL*8 function test_abs(x)
implicit none
REAL*8, intent(in) :: x
test_abs = abs(x)
end function
REAL*8 function test_acos(x)
implicit none
REAL*8, intent(in) :: x
test_acos = acos(x)
end function
REAL*8 function test_asin(x)
implicit none
REAL*8, intent(in) :: x
test_asin = asin(x)
end function
REAL*8 function test_atan(x)
implicit none
REAL*8, intent(in) :: x
test_atan = atan(x)
end function
REAL*8 function test_cos(x)
implicit none
REAL*8, intent(in) :: x
test_cos = cos(x)
end function
REAL*8 function test_cosh(x)
implicit none
REAL*8, intent(in) :: x
test_cosh = cosh(x)
end function
REAL*8 function test_log(x)
implicit none
REAL*8, intent(in) :: x
test_log = log(x)
end function
REAL*8 function test_ln(x)
implicit none
REAL*8, intent(in) :: x
test_ln = log(x)
end function
REAL*8 function test_sin(x)
implicit none
REAL*8, intent(in) :: x
test_sin = sin(x)
end function
REAL*8 function test_sinh(x)
implicit none
REAL*8, intent(in) :: x
test_sinh = sinh(x)
end function
REAL*8 function test_sqrt(x)
implicit none
REAL*8, intent(in) :: x
test_sqrt = sqrt(x)
end function
REAL*8 function test_tan(x)
implicit none
REAL*8, intent(in) :: x
test_tan = tan(x)
end function
REAL*8 function test_tanh(x)
implicit none
REAL*8, intent(in) :: x
test_tanh = tanh(x)
end function
rH   rt   aA  interface
REAL*8 function test_abs(x)
implicit none
REAL*8, intent(in) :: x
end function
end interface
interface
REAL*8 function test_acos(x)
implicit none
REAL*8, intent(in) :: x
end function
end interface
interface
REAL*8 function test_asin(x)
implicit none
REAL*8, intent(in) :: x
end function
end interface
interface
REAL*8 function test_atan(x)
implicit none
REAL*8, intent(in) :: x
end function
end interface
interface
REAL*8 function test_cos(x)
implicit none
REAL*8, intent(in) :: x
end function
end interface
interface
REAL*8 function test_cosh(x)
implicit none
REAL*8, intent(in) :: x
end function
end interface
interface
REAL*8 function test_log(x)
implicit none
REAL*8, intent(in) :: x
end function
end interface
interface
REAL*8 function test_ln(x)
implicit none
REAL*8, intent(in) :: x
end function
end interface
interface
REAL*8 function test_sin(x)
implicit none
REAL*8, intent(in) :: x
end function
end interface
interface
REAL*8 function test_sinh(x)
implicit none
REAL*8, intent(in) :: x
end function
end interface
interface
REAL*8 function test_sqrt(x)
implicit none
REAL*8, intent(in) :: x
end function
end interface
interface
REAL*8 function test_tan(x)
implicit none
REAL*8, intent(in) :: x
end function
end interface
interface
REAL*8 function test_tanh(x)
implicit none
REAL*8, intent(in) :: x
end function
end interface
)r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   )r   r   r   r   r   r   r   r   r   r   r   r   r   r-   r   rx   rf   r$   r$   r%   test_intrinsic_math_codegen  s2   <












CPr  c                  C   s   ddl m}  td\}}d| ||fd|| fg}t|ddddd	}|d d d
ks,J d}|d d |ks8J |d d dksBJ d}|d d |ksNJ d S )Nr   r   r   r   r   r  r   Frv   r  zREAL*8 function test_atan2(x, y)
implicit none
REAL*8, intent(in) :: x
REAL*8, intent(in) :: y
test_atan2 = atan2(x, y)
end function
REAL*8 function test_pow(x, y)
implicit none
REAL*8, intent(in) :: x
REAL*8, intent(in) :: y
test_pow = x**y
end function
rH   rt   a  interface
REAL*8 function test_atan2(x, y)
implicit none
REAL*8, intent(in) :: x
REAL*8, intent(in) :: y
end function
end interface
interface
REAL*8 function test_pow(x, y)
implicit none
REAL*8, intent(in) :: x
REAL*8, intent(in) :: y
end function
end interface
r   )r   r-   r2   r   rx   rf   r$   r$   r%   test_intrinsic_math2_codegen  s   
r  c            	      C   s   ddl m} m}m} td\}}}d| ||| || d  fd|||||||||| | fg}t|ddd	d	d
}|d d dksNJ d}|d d |ksZJ |d d dksdJ d}|d d |kspJ d S )Nr   r   ra   r   r   r   r  r   Frv   r  a{  REAL*8 function test1(x, y, z)
implicit none
REAL*8, intent(in) :: x
REAL*8, intent(in) :: y
REAL*8, intent(in) :: z
test1 = sin(x)**7 + 7*sin(x)**6*cos(y) + 7*sin(x)**6*tan(z) + 21*sin(x) &
      **5*cos(y)**2 + 42*sin(x)**5*cos(y)*tan(z) + 21*sin(x)**5*tan(z) &
      **2 + 35*sin(x)**4*cos(y)**3 + 105*sin(x)**4*cos(y)**2*tan(z) + &
      105*sin(x)**4*cos(y)*tan(z)**2 + 35*sin(x)**4*tan(z)**3 + 35*sin( &
      x)**3*cos(y)**4 + 140*sin(x)**3*cos(y)**3*tan(z) + 210*sin(x)**3* &
      cos(y)**2*tan(z)**2 + 140*sin(x)**3*cos(y)*tan(z)**3 + 35*sin(x) &
      **3*tan(z)**4 + 21*sin(x)**2*cos(y)**5 + 105*sin(x)**2*cos(y)**4* &
      tan(z) + 210*sin(x)**2*cos(y)**3*tan(z)**2 + 210*sin(x)**2*cos(y) &
      **2*tan(z)**3 + 105*sin(x)**2*cos(y)*tan(z)**4 + 21*sin(x)**2*tan &
      (z)**5 + 7*sin(x)*cos(y)**6 + 42*sin(x)*cos(y)**5*tan(z) + 105* &
      sin(x)*cos(y)**4*tan(z)**2 + 140*sin(x)*cos(y)**3*tan(z)**3 + 105 &
      *sin(x)*cos(y)**2*tan(z)**4 + 42*sin(x)*cos(y)*tan(z)**5 + 7*sin( &
      x)*tan(z)**6 + cos(y)**7 + 7*cos(y)**6*tan(z) + 21*cos(y)**5*tan( &
      z)**2 + 35*cos(y)**4*tan(z)**3 + 35*cos(y)**3*tan(z)**4 + 21*cos( &
      y)**2*tan(z)**5 + 7*cos(y)*tan(z)**6 + tan(z)**7
end function
REAL*8 function test2(x, y, z)
implicit none
REAL*8, intent(in) :: x
REAL*8, intent(in) :: y
REAL*8, intent(in) :: z
test2 = cos(cos(cos(cos(cos(cos(cos(cos(x + y + z))))))))
end function
rH   rt   a4  interface
REAL*8 function test1(x, y, z)
implicit none
REAL*8, intent(in) :: x
REAL*8, intent(in) :: y
REAL*8, intent(in) :: z
end function
end interface
interface
REAL*8 function test2(x, y, z)
implicit none
REAL*8, intent(in) :: x
REAL*8, intent(in) :: y
REAL*8, intent(in) :: z
end function
end interface
r   )	r   r   r   r-   r2   r.   r   rx   rf   r$   r$   r%   test_complicated_codegen_f95  s   ".r  c                  C   s   ddl m} m} ddlm} |ddd\}}t| d\}}}|d|}|d	|}	td
t|| |||	f ||	  fddddd\\}
}\}}|
dksLJ d}||ddi ks`||ddi ks`J |dksfJ |dkslJ d S )Nr   r?   r   zn,mTrE   AxyrG   r   r   r  r   Frv   r  a~  subroutine matrix_vector(A, m, n, x, y)
implicit none
INTEGER*4, intent(in) :: m
INTEGER*4, intent(in) :: n
REAL*8, intent(in), dimension(1:m, 1:n) :: A
REAL*8, intent(in), dimension(1:n) :: x
REAL*8, intent(out), dimension(1:m) :: y
INTEGER*4 :: i
INTEGER*4 :: j
do i = 1, m
   y(i) = 0
end do
do i = 1, m
   do j = 1, n
      y(i) = %(rhs)s + y(i)
   end do
end do
end subroutine
r   A(i, j)*x(j)x(j)*A(i, j)rt   a  interface
subroutine matrix_vector(A, m, n, x, y)
implicit none
INTEGER*4, intent(in) :: m
INTEGER*4, intent(in) :: n
REAL*8, intent(in), dimension(1:m, 1:n) :: A
REAL*8, intent(in), dimension(1:n) :: x
REAL*8, intent(out), dimension(1:m) :: y
end subroutine
end interface
)rL   r@   rA   r   r   rM   r   r   r   r$   r$   r%   
test_loops:  s&   

(r  c            
      C   s   ddl m} m} tddtd\}}| d}| d}|||}d|jj|jd	 }td
t|| || }t	 }t
|j|g}	|	|ksDJ d S )Nr   r?   r   Tr   r-   r2   a>  subroutine test_dummies(m_%(mcount)i, x, y)
implicit none
INTEGER*4, intent(in) :: m_%(mcount)i
REAL*8, intent(in), dimension(1:m_%(mcount)i) :: x
REAL*8, intent(out), dimension(1:m_%(mcount)i) :: y
INTEGER*4 :: i_%(icount)i
do i_%(icount)i = 1, m_%(mcount)i
   y(i_%(icount)i) = x(i_%(icount)i)
end do
end subroutine
)ZicountZmcountr   )rL   r@   rA   r   r   rN   r   r   r   r   r&   r   )
r@   rA   rG   rD   r-   r2   rf   rO   r   r   r$   r$   r%   test_dummy_loops_f95m  s   

r  c                  C   s   ddl m} m} ddlm} |ddd\}}}}|d\}}}	| |||||||f }| |||| }| |	||| }	tdt|	|	||  fd	d
ddd\\}
}\}}|
dks]J d}||ddi ksq||ddi ksqJ |dkswJ |dks}J d S )Nr   r?   r   zi,j,n,mTrE   zA,x,yr   r  r   Frv   r  aa  subroutine matrix_vector(A, m, n, x, y)
implicit none
INTEGER*4, intent(in) :: m
INTEGER*4, intent(in) :: n
REAL*8, intent(in), dimension(1:m, 1:n) :: A
REAL*8, intent(in), dimension(1:n) :: x
REAL*8, intent(inout), dimension(1:m) :: y
INTEGER*4 :: i
INTEGER*4 :: j
do i = 1, m
   do j = 1, n
      y(i) = %(rhs)s + y(i)
   end do
end do
end subroutine
r   r  r  rt   a  interface
subroutine matrix_vector(A, m, n, x, y)
implicit none
INTEGER*4, intent(in) :: m
INTEGER*4, intent(in) :: n
REAL*8, intent(in), dimension(1:m, 1:n) :: A
REAL*8, intent(in), dimension(1:n) :: x
REAL*8, intent(inout), dimension(1:m) :: y
end subroutine
end interface
r   )r@   rA   r   rG   r   r   rD   rB   r-   r2   r   r   r   r   rf   r$   r$   r%   test_loops_InOut  s(   r  c                  C   s  ddl m} m} ddlm} |ddd\}}}}| d||fd}| d	}| d
}	|d||d f}
|d|}tdt|	|
 ||
|f ||  fddddd\\}}\}}ddt|d td| t|d | d }||ddi ks}||ddi ksJ d S d S )Nr   r?   r   r   TrE   rB   r   r-   r2   rG   r   r   r   r  r   Frv   a  subroutine matrix_vector(A, m, n, o, p, x, y)
implicit none
INTEGER*4, intent(in) :: m
INTEGER*4, intent(in) :: n
INTEGER*4, intent(in) :: o
INTEGER*4, intent(in) :: p
REAL*8, intent(in), dimension(1:m, 1:p) :: A
REAL*8, intent(in), dimension(1:n) :: x
REAL*8, intent(out), dimension(1:%(iup-ilow)s) :: y
INTEGER*4 :: i
INTEGER*4 :: j
do i = %(ilow)s, %(iup)s
   y(i) = 0
end do
do i = %(ilow)s, %(iup)s
   do j = 1, n
      y(i) = %(rhs)s + y(i)
   end do
end do
end subroutine
r   r   rH   )r   ZiupZilowziup-ilowr   r  r  )rL   r@   rA   r   r   r   r   strr   r$   r$   r%   test_partial_loops_f  s*   
(

r  c            	      C   s   ddl m} m}m} td\}}}td||| |||g}t }|j|gdddd}|d d dks6J |d d	 d
ks@J d S )Nr   r   ra   r   r(   Frv   ztest.f90rH   z~REAL*8 function foo(x, y)
implicit none
REAL*8, intent(in) :: x
REAL*8, intent(out) :: y
y = sin(x)
foo = cos(x)
end function
)r   r   r   r   r   r   r   r   )	r   r   r   r-   r2   r.   rO   r   rx   r$   r$   r%   test_output_arg_f  s   
r  c                  C   s   ddl m} m} ddlm} |ddd\}}t| d\}}}|d|}t }	td	t|||d
  }
t	dt
|| |
|| }t|	j|g}d}d}||| ks^|||d d d  ks`J d S d S )Nr   r?   r   r   TrE   r  rG   funcrH   Ztest_inlinezsubroutine test_inline(m, x, y)
implicit none
INTEGER*4, intent(in) :: m
REAL*8, intent(in), dimension(1:m) :: x
REAL*8, intent(out), dimension(1:m) :: y
INTEGER*4 :: i
do i = 1, m
   y(i) = %s*%s
end do
end subroutine
)zx(i)z
(x(i) + 1)r   )rL   r@   rA   r   r   rM   r   r   r   r   r   r&   r   )r@   rA   r   r   rD   rB   r-   r2   rG   r   r  re   r   rf   argsr$   r$   r%   test_inline_function  s   
r  c                  C   sP   t d} d}| D ]}||7 }qtd|}t }t|j|g}d}||ks&J d S )Nzx:20r   r(   a  REAL*8 function test(x0, x1, x10, x11, x12, x13, x14, x15, x16, x17, x18, &
      x19, x2, x3, x4, x5, x6, x7, x8, x9)
implicit none
REAL*8, intent(in) :: x0
REAL*8, intent(in) :: x1
REAL*8, intent(in) :: x10
REAL*8, intent(in) :: x11
REAL*8, intent(in) :: x12
REAL*8, intent(in) :: x13
REAL*8, intent(in) :: x14
REAL*8, intent(in) :: x15
REAL*8, intent(in) :: x16
REAL*8, intent(in) :: x17
REAL*8, intent(in) :: x18
REAL*8, intent(in) :: x19
REAL*8, intent(in) :: x2
REAL*8, intent(in) :: x3
REAL*8, intent(in) :: x4
REAL*8, intent(in) :: x5
REAL*8, intent(in) :: x6
REAL*8, intent(in) :: x7
REAL*8, intent(in) :: x8
REAL*8, intent(in) :: x9
test = x0 + x1 + x10 + x11 + x12 + x13 + x14 + x15 + x16 + x17 + x18 + &
      x19 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9
end function
r  )r-   r,   Zsymre   rU   r#   rf   r$   r$   r%   test_f_code_call_signature_wrap  s   

r   c                      s$   t d\ tt fdd d S )Nzx,Xc                      s   t d  fddS )Nr(   f95r   )r   r$   Xr-   r$   r%   r/   <  r>   z!test_check_case.<locals>.<lambda>)r   r   r   r$   r$   r"  r%   test_check_case:  s   r$  c               
   C   sn   t d} t ddd}ztd| | fdd W d S  ty6 } z|jd dr+td	W Y d }~d S d }~ww )
Nr-   T)Zmy_assumptionr(   r!  r   r   zFortran ignores case.z$This exception should not be raised!)r   r   r   r  
startswithAssertionError)Zx1Zx2r   r$   r$   r%   test_check_case_false_positive?  s   r'  c                  C   s  t d\} }dd|  fg}t|dddd}t|ddddd}|d d |d d ks,J d| | f}t|dddd}t|ddddd}|d d |d d ksQJ dt| |g| | | | ggf}t|d	ddd}t|d	dddd}|d d |d d ksJ d S )
Nr   r   rI   r  Frv   r   rH   r   )r   r   r   )r-   r2   r   rx   Z	expresultr$   r$   r%    test_c_fortran_omit_routine_nameM  s     r(  c                  C   s   t d\} }}| | }t| |g|dgg}d||ff}t|ddddd}|d d }d	}| d
 }	|	d}
|
d }|d|i }||ksGJ d S )Nra      r(   r!  Frv   r   rH   a2  REAL*8 function test(x, y, z, out_%(hash)s)
implicit none
REAL*8, intent(in) :: x
REAL*8, intent(in) :: y
REAL*8, intent(in) :: z
REAL*8, intent(out), dimension(1:2, 1:2) :: out_%(hash)s
out_%(hash)s(1, 1) = x
out_%(hash)s(2, 1) = z
out_%(hash)s(1, 2) = y
out_%(hash)s(2, 2) = 16
test = x + y
end function
r   _hash)r   r   r   
splitlinessplit)r-   r2   r.   Ze1Ze2r   rx   r#   rf   r1   r   r   r$   r$   r%   test_fcode_matrix_output_  s   
r.  c                  C   s   t d\} }}t d\}}tddd}t|tdd| gg}t|| | | }t|d|  }d|||gf}	t|	ddd	d	| |||||fd
}
|
d d }d}||ksSJ d S )Nra   r   rB   rH   rJ   rI   r(   r!  Fr   r   a!  subroutine test(x, z, y, C, A, B)
implicit none
REAL*8, intent(in) :: x
REAL*8, intent(in) :: z
REAL*8, intent(in) :: y
REAL*8, intent(out) :: C
REAL*8, intent(out) :: B
REAL*8, intent(out), dimension(1:1, 1:3) :: A
C = z*(x + y)
A(1, 1) = 1
A(1, 2) = 2
A(1, 3) = x
B = 2*x
end subroutine
r   )r-   r2   r.   rC   ru   rB   r   r   r   r   rx   r#   rf   r$   r$   r%    test_fcode_results_named_ordered|  s   r/  c                  C   s   t ddd} t ddd}t ddd}t ddd}dt|| d	d d f t|| dd d f t|| d d df gf}t|d
dddd}|d	 d }d}||ksQJ d S )NrB   rI   rJ   rC   rH   ru   r   r(   r   r!  Frv   a  subroutine test(A, B, C, D)
implicit none
REAL*8, intent(in), dimension(1:2, 1:3) :: A
REAL*8, intent(out), dimension(1:1, 1:3) :: B
REAL*8, intent(out), dimension(1:1, 1:3) :: C
REAL*8, intent(out), dimension(1:2, 1:1) :: D
B(1, 1) = A(1, 1)
B(1, 2) = A(1, 2)
B(1, 3) = A(1, 3)
C(1, 1) = A(2, 1)
C(1, 2) = A(2, 2)
C(1, 3) = A(2, 3)
D(1, 1) = A(1, 3)
D(2, 1) = A(2, 3)
end subroutine
r   r   r$   r$   r%   test_fcode_matrixsymbol_slice  r   r0  c                  C   s|   t ddd} d| d d df f}t|ddddd}|d	 d }d
}| d }|d}|d }|d|i }||ks<J d S )NrB   rI   rJ   r(   rH   r!  Frv   r   zsubroutine test(A, out_%(hash)s)
implicit none
REAL*8, intent(in), dimension(1:2, 1:3) :: A
REAL*8, intent(out), dimension(1:2, 1:1) :: out_%(hash)s
out_%(hash)s(1, 1) = A(1, 2)
out_%(hash)s(2, 1) = A(2, 2)
end subroutine
r*  r+  )r   r   r,  r-  )rB   r   rx   r#   rf   r1   r   r   r$   r$   r%   &test_fcode_matrixsymbol_slice_autoname  s   

r1  c                  C   s   t d\} }}}td| | fddd|fd}|d d }d}||ks$J d	}td| | | fd
dd||fd}|d d }||ksCJ d S )Nzx y z tfr  F)r    r!   Zglobal_varsr   rH   zPREAL*8 function f(x)
implicit none
REAL*8, intent(in) :: x
f = x*y
end function
z#include "f.h"
#include <math.h>
double f(double x, double y) {
   double f_result;
   f_result = x*y + z;
   return f_result;
}
ru   rw   )r-   r2   r.   trx   r#   rf   r$   r$   r%   test_global_vars  s   	r4  c            
      C   s   ddl m}  ddlm} | dddiid}td\}}||| }t|d	gd
}d}td|fdd|d}|d d }	|	|ks@J t|d}|jd	 d}td|fdd|d}|d d }	|	|kscJ d S )Nr   C99CodePrinter)expZuser_functionsr7  Zfastexp)Zsettingszx yz#include "fastexp.h")printerpreprocessor_statementsz#include "expr.h"
#include "fastexp.h"
double expr(double x, double y) {
   double expr_result;
   expr_result = fastexp(x + y);
   return expr_result;
}
r,   F)r    r!   rU   rH   )r8  z#include "expr.h"
#include <math.h>
#include "fastexp.h"
double expr(double x, double y) {
   double expr_result;
   expr_result = fastexp(x + y);
   return expr_result;
}
)	sympy.printing.cr6  Z&sympy.functions.elementary.exponentialr7  r   r   r   r9  append)
r6  r7  r8  r-   r2   r,   genrf   rx   r#   r$   r$   r%   test_custom_codegen  s(   

r=  c                  C   s^   ddl m}  G dd d| }td}|d }ddg}td	|fd
ddd| d}||ks-J d S )Nr   r5  c                   @   s   e Zd Zdd ZdS )z*test_c_with_printer.<locals>.CustomPrinterc                 S   s   d | |j| |jS )Nzfastpow({}, {}))formatZ_printbaser7  )selfr,   r$   r$   r%   
_print_Pow  s   
z5test_c_with_printer.<locals>.CustomPrinter._print_PowN)__name__
__module____qualname__rA  r$   r$   r$   r%   CustomPrinter  s    rE  r-   rJ   )rs   z#include "file.h"
#include <math.h>
double test(double x) {
   double test_result;
   test_result = fastpow(x, 3);
   return test_result;
}
)rt   zP#ifndef PROJECT__FILE__H
#define PROJECT__FILE__H
double test(double x);
#endif
r(   ru   r   F)r    r!   r8  )r:  r6  r   r   )r6  rE  r-   r,   rf   rx   r$   r$   r%   test_c_with_printer  s   rF  c                  C   s   dd l } d| jj_tddd}tddd}td|| fddddd	}|d d
 }d}||ks0J td}tddd}td|| fddddd	}|d d
 }d}||ksUJ d| jj_d S )Nr   Tr-   )realr2   r(   r!  Frv   rH   zsREAL*8 function test(x, y)
implicit none
REAL*8, intent(in) :: x
REAL*8, intent(in) :: y
test = x + y
end function
z{COMPLEX*16 function test(x, y)
implicit none
COMPLEX*16, intent(in) :: x
REAL*8, intent(in) :: y
test = x + y
end function
)sympy.utilities.codegenZ	utilitiesr   ZCOMPLEX_ALLOWEDr   )r   r-   r2   rx   r#   rf   r$   r$   r%   test_fcode_complex6  s"   
rI  N)r   FF)[ior   Z
sympy.corer   r   r   r   r   r   r   r	   r
   r   r   Zsympy.matricesr   r   rH  r   r   r   r   r   r   r   r   r   r   r   Zsympy.testing.pytestr   Zsympy.utilities.lambdifyr   r&   rP   rV   r\   r_   rg   ri   rm   ro   rr   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  r  r  r  r  r  r  r  r  r  r  r   r$  r'  r(  r.  r/  r0  r1  r4  r=  rF  rI  r$   r$   r$   r%   <module>   s     4
8D*,( 0.>31/(.