o
    *ήcJ                     @   s  d dl 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 ddlmZ d Zdd	 e D Zeefi d
dddddddddddZdddddddZdd e D Zdd e D ZG d d! d!eeZeD ]Zeed"e e
 qoeD ]Zeed"e e	 q}i d#d#d$d$d%d&d'd(d)d*d+d,d-d-d.d.d/d/d0d1d2d3d4d5d6d7d8d9d:d;d<d=d>d?d@dAdBdCdDdEZdFddGZdHd e D ZdId e D ZG dJdK dKeZ eD ]Zee d"e e
 qeD ]Zee d"e e	 qdLd e D Z!dMd e D Z"G dNdO dOeZ#e!D ]Zee#d"e e
 qe"D ]Zee#d"e e	 q,dPd e D Z$dQd e D Z%G dRdS dSeZ&e$D ]Zee&d"e e
 qUe%D ]Zee&d"e e	 qddTS )U    )S)Lambda)Pow   )PythonCodePrinter_known_functions_math_print_known_const_print_known_func_unpack_integral_limitsArrayPrinter)CodePrinterz!erf erfc factorial gamma loggammac                 C   s    g | ]\}}|t vr||fqS  )_not_in_numpy.0kvr   r   ;/tmp/pip-target-vg8gfxp4/lib/python/sympy/printing/numpy.py
<listcomp>	   s     r   arccosarccosharcsinarcsinharctanarctan2arctanhexp2sign	logaddexp
logaddexp2)acosacoshasinasinhatanatan2atanhr   r   r   r   epieuler_gammananPINFNINF)Exp1Pi
EulerGammaNaNInfinityNegativeInfinityc                 C      i | ]	\}}|d | qS znumpy.r   r   r   r   r   
<dictcomp>        r5   c                 C   r3   r4   r   r   r   r   r   r5   !   r6   c                       s`  e Zd ZdZdZeZeZdL f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$d% Z fd&d'Zd(d) Zd*d+ Zd,d- ZdMd/d0Zd1d2 Zd3d4 Z d5d6 Z!d7d8 Z"d9d: Z#d;d< Z$d=d> Z%d?d@ Z&dAdB Z'dCdD Z(dEdF Z)dGZ*dHZ+dIZ,dJZ-dKZ.e/j0Z1e/j0Z2e/j0Z3e/j0Z4  Z5S )NNumPyPrinterza
    Numpy printer which handles vectorized piecewise functions,
    logical operators, etc.
    numpyNc                    s@   d | j| _d | j| _i tj| j| _t j|d dS )z
        `settings` is passed to CodePrinter.__init__()
        `module` specifies the array module to use, currently 'NumPy', 'CuPy'
        or 'JAX'.
        zPython with {}z_{}codesettingsN)format_modulelanguageprintmethodr   _kfsuper__init__selfr:   	__class__r   r   rA   -   s   zNumPyPrinter.__init__c                    s"   d}d | fdd|D S )z+General sequence printer: converts to tuple, z({},)c                 3       | ]}  |V  qd S N_print)r   itemrC   r   r   	<genexpr>@       z*NumPyPrinter._print_seq.<locals>.<genexpr>)r;   join)rC   seq	delimiterr   rL   r   
_print_seq;   s   zNumPyPrinter._print_seqc                    sj   |  d tjur%|  d |  d g }dd fdd|D S dd fdd|jD S )zMatrix multiplication printerr   r   ({})z).dot(c                 3   rG   rH   rI   r   irL   r   r   rM   F   rN   z-NumPyPrinter._print_MatMul.<locals>.<genexpr>c                 3   rG   rH   rI   rT   rL   r   r   rM   G   rN   )as_coeff_matricesr   Oner;   rO   args)rC   expr	expr_listr   rL   r   _print_MatMulB   s    zNumPyPrinter._print_MatMulc                 C   s2   d | | jd | |jd | |jd S )zMatrix power printerz
{}({}, {})z.linalg.matrix_powerr   r   r;   _module_formatr<   rJ   rX   rC   rY   r   r   r   _print_MatPowI   s   zNumPyPrinter._print_MatPowc                 C   $   d | | jd | |jd S )zMatrix inverse printer{}({})z.linalg.invr   r\   r^   r   r   r   _print_InverseN   s   zNumPyPrinter._print_Inversec                 C   sX   |j \}}|jd dkr|j}|jd dkr|j}d| | jd | || |f S )Nr   r   
%s(%s, %s)z.dot)rX   shapeTr]   r<   rJ   )rC   rY   arg1arg2r   r   r   _print_DotProductS   s   
zNumPyPrinter._print_DotProductc                 C   s*   d|  | jd | |j| |jf S )Nrc   z.linalg.solve)r]   r<   rJ   matrixvectorr^   r   r   r   _print_MatrixSolve`   s   

zNumPyPrinter._print_MatrixSolvec                 C       d | | jd | |jS )Nra   z.zerosr;   r]   r<   rJ   rd   r^   r   r   r   _print_ZeroMatrixe      
zNumPyPrinter._print_ZeroMatrixc                 C   rl   )Nra   z.onesrm   r^   r   r   r   _print_OneMatrixi   ro   zNumPyPrinter._print_OneMatrixc                    s~   ddl m}m} |j}t|tst||f|||}d  jd d	 fdd|j
d D  |j
d  |jS )	Nr   )rU   jz{}(lambda {}: {}, {})z.fromfunctionrF   c                 3   rG   rH   rI   r   argrL   r   r   rM   s   rN   z5NumPyPrinter._print_FunctionMatrix.<locals>.<genexpr>r   )	sympy.abcrU   rq   lamda
isinstancer   r;   r]   r<   rO   rX   rJ   rd   )rC   rY   rU   rq   ru   r   rL   r   _print_FunctionMatrixm   s   
z"NumPyPrinter._print_FunctionMatrixc                    Z    jd  d fdd|jd d D d|jd dt|jd   S )	N	.multiply c                 3   "    | ]}d   |V  qdS z{}({}, Nr;   rJ   rr   funcrC   r   r   rM   x       z6NumPyPrinter._print_HadamardProduct.<locals>.<genexpr>{}{})r   r]   r<   rO   rX   r;   rJ   lenr^   r   r~   r   _print_HadamardProductv      z#NumPyPrinter._print_HadamardProductc                    rx   )	Nz.kronrz   c                 3   r{   r|   r}   rr   r~   r   r   rM   ~   r   z7NumPyPrinter._print_KroneckerProduct.<locals>.<genexpr>r   r   r   r   r   r^   r   r~   r   _print_KroneckerProduct|   r   z$NumPyPrinter._print_KroneckerProductc                 C   s2   d | | jd | | jd | |jd S )Nz
{}({}({}))z
.conjugatez
.transposer   r\   r^   r   r   r   _print_Adjoint   s
   zNumPyPrinter._print_Adjointc                 C   s8   d | | jd | |j}d | | jd |S )Nra   z.diagz{}({}, (-1, 1))z.reshape)r;   r]   r<   rJ   rs   )rC   rY   vectr   r   r   _print_DiagonalOf   s   
zNumPyPrinter._print_DiagonalOfc                 C   r`   )Nra   z	.diagflatr   r\   r^   r   r   r   _print_DiagMatrix   s   zNumPyPrinter._print_DiagMatrixc              
   C   sJ   d | | jd | |j| | jd | |jd | |jd S )Nz{}({}, {}({}, {}))ry   .eyer   r   )r;   r]   r<   rJ   rs   rd   r^   r   r   r   _print_DiagonalMatrix   s   z"NumPyPrinter._print_DiagonalMatrixc                    s   ddl m m  fddddfdd|jD }ddfd	d|jD }d
jd ||t	j
S )zPiecewise function printerr   )ITEsimplify_logicc                    s"   |   r| S | S )z$ Problem having an ITE in the cond. )hasrJ   cond)r   rC   r   r   r   
print_cond   s   

z1NumPyPrinter._print_Piecewise.<locals>.print_condz[{}],c                 3   s    | ]	}  |jV  qd S rH   )rJ   rY   rr   rL   r   r   rM      s    z0NumPyPrinter._print_Piecewise.<locals>.<genexpr>c                 3   s    | ]} |j V  qd S rH   r   rr   )r   r   r   rM      rN   z{}({}, {}, default={})z.select)sympy.logic.boolalgr   r   r;   rO   rX   r]   r<   rJ   r   r0   )rC   rY   exprscondsr   )r   r   rC   r   r   _print_Piecewise   s     
zNumPyPrinter._print_Piecewisec                    sf   ddddddd}|j |v r-| |j}| |j}dj| | jd	 ||j   ||d
S t |S )z.Relational printer for Equality and Unequalityequal	not_equalless
less_equalgreatergreater_equal)z==z!=<z<=>z>=z{op}({lhs}, {rhs}).)oplhsrhs)	rel_oprJ   r   r   r;   r]   r<   r@   _print_Relational)rC   rY   r   r   r   rD   r   r   r      s   
zNumPyPrinter._print_Relationalc                    .   d   jd d fdd|jD S )Logical And printer{}.reduce(({}))z.logical_andr   c                 3   rG   rH   rI   rT   rL   r   r   rM      rN   z*NumPyPrinter._print_And.<locals>.<genexpr>r;   r]   r<   rO   rX   r^   r   rL   r   
_print_And      .zNumPyPrinter._print_Andc                    r   )Logical Or printerr   z.logical_orr   c                 3   rG   rH   rI   rT   rL   r   r   rM      rN   z)NumPyPrinter._print_Or.<locals>.<genexpr>r   r^   r   rL   r   	_print_Or   r   zNumPyPrinter._print_Orc                    r   )zLogical Not printerra   z.logical_notr   c                 3   rG   rH   rI   rT   rL   r   r   rM      rN   z*NumPyPrinter._print_Not.<locals>.<genexpr>r   r^   r   rL   r   
_print_Not   r   zNumPyPrinter._print_NotFc                 C   s<   |j jr|j jrt|j|j  dd}| j||| jd dS )NF)evaluatez.sqrt)rationalsqrt)exp
is_integeris_negativer   baseevalf_hprint_Powr<   )rC   rY   r   r   r   r   
_print_Pow   s   zNumPyPrinter._print_Powc                    r   )N{}(({}), axis=0)z.aminr   c                 3   rG   rH   rI   rT   rL   r   r   rM      rN   z*NumPyPrinter._print_Min.<locals>.<genexpr>r   r^   r   rL   r   
_print_Min      .zNumPyPrinter._print_Minc                    r   )Nr   z.amaxr   c                 3   rG   rH   rI   rT   rL   r   r   rM      rN   z*NumPyPrinter._print_Max.<locals>.<genexpr>r   r^   r   rL   r   
_print_Max   r   zNumPyPrinter._print_Maxc                 C   $   d|  | jd | |jd f S )N%s(%s)z.angler   r]   r<   rJ   rX   r^   r   r   r   
_print_arg      $zNumPyPrinter._print_argc                 C   r   )Nr   z.imagr   r   r^   r   r   r   	_print_im   r   zNumPyPrinter._print_imc                    s.   d   jd dt fdd|jf S )Nr   z.modrF   c                    s
     | S rH   rI   )rs   rL   r   r   <lambda>   s   
 z)NumPyPrinter._print_Mod.<locals>.<lambda>)r]   r<   rO   maprX   r^   r   rL   r   
_print_Mod   s   zNumPyPrinter._print_Modc                 C   r   )Nr   z.realr   r   r^   r   r   r   	_print_re   r   zNumPyPrinter._print_rec                 C   s*   d|  | jd | |jd tj f S )Nr   z.sincr   )r]   r<   rJ   rX   r   r.   r^   r   r   r   _print_sinc   s   *zNumPyPrinter._print_sincc                 C   s@   | j |jjd }|d u r| | jd }d|| | f S )Nz.arrayr   )known_functionsgetrE   __name__r]   r<   rJ   tolist)rC   rY   r   r   r   r   _print_MatrixBase   s   zNumPyPrinter._print_MatrixBasec                 C   sD   |j }tdd |D rd| | jd | |j d f S td)Nc                 s   s    | ]}|j V  qd S rH   )
is_Integer)r   dimr   r   r   rM      s    z/NumPyPrinter._print_Identity.<locals>.<genexpr>r   r   r   zFSymbolic matrix dimensions are not yet supported for identity matrices)rd   allr]   r<   rJ   NotImplementedError)rC   rY   rd   r   r   r   _print_Identity   s   $zNumPyPrinter._print_Identityc                 C   s(   d | | jd | |jd  S )Nra   z.blockr   )r;   r]   r<   rJ   rX   r   r^   r   r   r   _print_BlockMatrix   s   zNumPyPrinter._print_BlockMatrixc                 C   sT   t |jdkr| jd | |jd  d S t |jdkr$| | S t| |S )Nr   z.array(r   r      )r   rd   r<   rJ   rX   tomatrixr   _print_not_supportedr^   r   r   r   _print_NDimArray   s
   zNumPyPrinter._print_NDimArrayaddeinsum	transposeoneszerosrH   )F)6r   
__module____qualname____doc__r<   _numpy_known_functionsr?   _numpy_known_constants_kcrA   rR   r[   r_   rb   rh   rk   rn   rp   rw   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   _add_einsum
_transpose_ones_zerosr   r   _print_lowergamma_print_uppergamma_print_fresnelc_print_fresnels__classcell__r   r   rD   r   r7   #   s^    	
r7   _print_erferfcbesseljjvbesselyyvbesseliivbesselkkvcosm1	factorialgammaloggammagammalndigammapsiRisingFactorialpochjacobieval_jacobi
gegenbauereval_gegenbauer
chebyshevteval_chebyt
chebyshevueval_chebyulegendreeval_legendreeval_hermiteeval_laguerreeval_genlaguerrebetalambertw)hermitelaguerreassoc_laguerrer  LambertWgolden_ratio)GoldenRatior.   c                 C   r3   )zscipy.special.r   r   r   r   r   r5   5  r6   c                 C   r3   )zscipy.constants.r   r   r   r   r   r5   6  r6   c                       s   e Zd Zi ejeZi ejeZd fdd	Zdd Z	e	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  ZS )SciPyPrinterNc                    s   t  j|d d| _d S )Nr9   zPython with SciPy and NumPy)r@   rA   r=   rB   rD   r   r   rA   =  s   
zSciPyPrinter.__init__c                 C   sd   g g g }}}|   D ]\\}}}|| || || qdj| d||||jdS )Nz+{name}(({data}, ({i}, {j})), shape={shape})zscipy.sparse.coo_matrix)namedatarU   rq   rd   )todokitemsappendr;   r]   rd   )rC   rY   rU   rq   r  rcr   r   r   r   _print_SparseRepMatrixA  s   


z#SciPyPrinter._print_SparseRepMatrixc              	   C   s:   d | d| |jd | |jd | |jd S )Nz{0}({2}, {1}, {3})zscipy.special.lpmvr   r   r   r;   r]   rJ   rX   r^   r   r   r   _print_assoc_legendreP  s   z"SciPyPrinter._print_assoc_legendrec              	   C   4   d | d| d| |jd | |jd S )N{0}({2})*{1}({2}, {3})scipy.special.gammazscipy.special.gammaincr   r   r   r^   r   r   r   r   W     zSciPyPrinter._print_lowergammac              	   C   r"  )Nr#  r$  zscipy.special.gammainccr   r   r   r^   r   r   r   r   ^  r%  zSciPyPrinter._print_uppergammac                    s     d}  d} fdd|jD }d| d|d  d|d  d|d	  d
| d|d  d|d  d|d  d| d|d  d|d  dS )Nscipy.special.betainczscipy.special.betac                    s   g | ]}  |qS r   rI   rr   rL   r   r   r   h  s    z/SciPyPrinter._print_betainc.<locals>.<listcomp>(r   rF   r      z) - r   z))             * r   )r]   rX   )rC   rY   betaincr  rX   r   rL   r   _print_betaince  s   

JzSciPyPrinter._print_betaincc              
   C   sH   d | d| |jd | |jd | |jd | |jd S )Nz'{0}({1}, {2}, {4}) - {0}({1}, {2}, {3})r&  r   r   r   r(  r   r^   r   r   r   _print_betainc_regularizedl  s   z'SciPyPrinter._print_betainc_regularizedc                 C      d | d| |jd S )N	{}({})[0]scipy.special.fresnelr   r   r^   r   r   r   r   t     zSciPyPrinter._print_fresnelsc                 C   r,  )N	{}({})[1]r.  r   r   r^   r   r   r   r   y  r/  zSciPyPrinter._print_fresnelcc                 C   r,  )Nr-  scipy.special.airyr   r   r^   r   r   r   _print_airyai~  r/  zSciPyPrinter._print_airyaic                 C   r,  )Nr0  r1  r   r   r^   r   r   r   _print_airyaiprime  r/  zSciPyPrinter._print_airyaiprimec                 C   r,  )Nz	{}({})[2]r1  r   r   r^   r   r   r   _print_airybi  r/  zSciPyPrinter._print_airybic                 C   r,  )Nz	{}({})[3]r1  r   r   r^   r   r   r   _print_airybiprime  r/  zSciPyPrinter._print_airybiprimec                    s   t |\}}t|dkr d}dtt j|d  }n d}dd fdd	|D }d
|dt j| |jd |S )Nr   zscipy.integrate.quadz%s, %sr   zscipy.integrate.nquadrS   rF   c                 3   s$    | ]}d t t j| V  qdS )z(%s, %s)N)tupler   rJ   )r   lrL   r   r   rM     s    
z/SciPyPrinter._print_Integral.<locals>.<genexpr>z{}(lambda {}: {}, {})[0])	r
   r   r]   r6  r   rJ   r;   rO   rX   )rC   r'   integration_varslimits
module_str	limit_strr   rL   r   _print_Integral  s   


zSciPyPrinter._print_IntegralrH   )r   r   r   r7   r?   _scipy_known_functionsr   _scipy_known_constantsrA   r  _print_ImmutableSparseMatrixr!  r   r   r*  r+  r   r   r2  r3  r4  r5  r<  r   r   r   rD   r   r  8  s$    r  c                 C   r3   zcupy.r   r   r   r   r   r5     r6   c                 C   r3   r@  r   r   r   r   r   r5     r6   c                       s.   e Zd ZdZdZeZeZd fdd	Z	  Z
S )CuPyPrinterz`
    CuPy printer which handles vectorized piecewise functions,
    logical operators, etc.
    cupyNc                       t  j|d d S Nr9   r@   rA   rB   rD   r   r   rA        zCuPyPrinter.__init__rH   )r   r   r   r   r<   _cupy_known_functionsr?   _cupy_known_constantsr   rA   r   r   r   rD   r   rA    s    rA  c                 C   r3   z
jax.numpy.r   r   r   r   r   r5     r6   c                 C   r3   rI  r   r   r   r   r   r5     r6   c                       s>   e Zd ZdZdZeZeZd
 fdd	Z	dd Z
dd	 Z  ZS )
JaxPrinterz_
    JAX printer which handles vectorized piecewise functions,
    logical operators, etc.
    z	jax.numpyNc                    rC  rD  rE  rB   rD   r   r   rA     rF  zJaxPrinter.__init__c              	      8   d   jd   jd fdd|jD S )r   {}({}.asarray([{}]), axis=0)z.allr   c                 3   rG   rH   rI   rT   rL   r   r   rM     rN   z(JaxPrinter._print_And.<locals>.<genexpr>r   r^   r   rL   r   r     
   
zJaxPrinter._print_Andc              	      rK  )r   rL  z.anyr   c                 3   rG   rH   rI   rT   rL   r   r   rM     rN   z'JaxPrinter._print_Or.<locals>.<genexpr>r   r^   r   rL   r   r     rM  zJaxPrinter._print_OrrH   )r   r   r   r   r<   _jax_known_functionsr?   _jax_known_constantsr   rA   r   r   r   r   r   rD   r   rJ    s    rJ  N)'
sympy.corer   sympy.core.functionr   sympy.core.powerr   pycoder   r   r   r	   r
   r   codeprinterr   splitr   r  	_in_numpydict_known_functions_numpy_known_constants_numpyr   r   r7   r   setattrconst_known_functions_scipy_special _known_constants_scipy_constantsr=  r>  r  rG  rH  rA  rN  rO  rJ  r   r   r   r   <module>   s     
	 o	
m