o
    Th9R                     @   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ddZ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
 qpeD ]Zeed#e e	 q~i d$d%d&d&d'd'd(d)d*d+d,d-d.d/d0d0d1d1d2d2d3d3d4d5d6d7d8d8d9d:d;d<d=d>d?d@dAdBdCdDdEdFdGZdHddIZdJd e D ZdKd e D ZG dLdM dMeZ eD ]Zee d#e e
 qeD ]Zee d#e e	 qdNd e D Z!dOd e D Z"G dPdQ dQeZ#e!D ]Zee#d#e e
 q!e"D ]Zee#d#e e	 q0dRd e D Z$dSd e D Z%G dTdU dUeZ&e$D ]Zee&d#e e
 qYe%D ]Zee&d#e e	 qhdVS )W    )S)Lambda)Pow   )PythonCodePrinter_known_functions_math_print_known_const_print_known_func_unpack_integral_limitsArrayPrinter)CodePrinterz!erf erfc factorial gamma loggammac                 C   s    g | ]\}}|t vr||fqS  )_not_in_numpy.0kvr   r   U/home/air/segue/gemini/back/venv/lib/python3.10/site-packages/sympy/printing/numpy.py
<listcomp>	   s     r   arccosarccosharcsinarcsinharctanarctan2arctanhexp2sign	logaddexp
logaddexp2isinfisnan)acosacoshasinasinhatanatan2atanhr   r   r   r   r    r!   epieuler_gammananinf)Exp1Pi
EulerGammaNaNInfinityc                 C      i | ]	\}}|d | qS znumpy.r   r   r   r   r   
<dictcomp>"       r5   c                 C   r3   r4   r   r   r   r   r   r5   #   r6   c                       s  e Zd ZdZdZeZeZdY fdd	Z	dd Z
dd	 Zd
d Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zd d! Zd"d# Zd$d% Zd&d' Z fd(d)Zd*d+ Zd,d- Zd.d/ ZdZd1d2Zd3e fd4d5Z!d6d7 Z"d8d9 Z#d:d; Z$d<d= Z%d>d? Z&d@dA Z'dBdC Z(dDdE Z)dFdG Z*dHdI Z+dJdK Z,dLdM Z-dNdO Z.dPdQ Z/dRdS Z0dTZ1dUZ2dVZ3dWZ4dXZ5e6j7Z8e6j7Z9e6j7Z:e6j7Z;  Z<S )[NumPyPrinterza
    Numpy printer which handles vectorized piecewise functions,
    logical operators, etc.
    numpyNc                    s@   d | j| _d | j| _i tj| j| _t j|d dS )z
        `settings` is passed to CodePrinter.__init__()
        `module` specifies the array module to use, currently 'NumPy', 'CuPy'
        or 'JAX'.
        zPython with {}z_{}codesettingsN)format_modulelanguageprintmethodr   _kfsuper__init__selfr:   	__class__r   r   rA   /   s   zNumPyPrinter.__init__c                    s"   d}d | fdd|D S )z+General sequence printer: converts to tuple, z({},)c                 3       | ]}  |V  qd S N_print)r   itemrC   r   r   	<genexpr>B       z*NumPyPrinter._print_seq.<locals>.<genexpr>)r;   join)rC   seq	delimiterr   rL   r   
_print_seq=   s   zNumPyPrinter._print_seqc                 C   s   d|  tj S )N-)rJ   r   r2   rC   exprr   r   r   _print_NegativeInfinityD   s   z$NumPyPrinter._print_NegativeInfinityc                    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   K   rN   z-NumPyPrinter._print_MatMul.<locals>.<genexpr>c                 3   rG   rH   rI   rX   rL   r   r   rM   L   rN   )as_coeff_matricesr   Oner;   rO   args)rC   rU   	expr_listr   rL   r   _print_MatMulG   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   r\   rT   r   r   r   _print_MatPowN   s   zNumPyPrinter._print_MatPowc                 C   $   d | | jd | |jd S )zMatrix inverse printer{}({})z.linalg.invr   r_   rT   r   r   r   _print_InverseS   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)r\   shapeTr`   r<   rJ   )rC   rU   arg1arg2r   r   r   _print_DotProductX   s   
zNumPyPrinter._print_DotProductc                 C   s*   d|  | jd | |j| |jf S )Nre   z.linalg.solve)r`   r<   rJ   matrixvectorrT   r   r   r   _print_MatrixSolvee   s   

zNumPyPrinter._print_MatrixSolvec                 C       d | | jd | |jS )Nrc   z.zerosr;   r`   r<   rJ   rf   rT   r   r   r   _print_ZeroMatrixj      
zNumPyPrinter._print_ZeroMatrixc                 C   rn   )Nrc   z.onesro   rT   r   r   r   _print_OneMatrixn   rq   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   )rY   jz{}(lambda {}: {}, {})z.fromfunctionrF   c                 3   rG   rH   rI   r   argrL   r   r   rM   x   rN   z5NumPyPrinter._print_FunctionMatrix.<locals>.<genexpr>r   )	sympy.abcrY   rs   lamda
isinstancer   r;   r`   r<   rO   r\   rJ   rf   )rC   rU   rY   rs   rw   r   rL   r   _print_FunctionMatrixr   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   rt   funcrC   r   r   rM   }       z6NumPyPrinter._print_HadamardProduct.<locals>.<genexpr>{}{})r   r`   r<   rO   r\   r;   rJ   lenrT   r   r   r   _print_HadamardProduct{      z#NumPyPrinter._print_HadamardProductc                    rz   )	Nz.kronr|   c                 3   r}   r~   r   rt   r   r   r   rM      r   z7NumPyPrinter._print_KroneckerProduct.<locals>.<genexpr>r   r   r   r   r   rT   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_   rT   r   r   r   _print_Adjoint   s
   zNumPyPrinter._print_Adjointc                 C   s8   d | | jd | |j}d | | jd |S )Nrc   z.diagz{}({}, (-1, 1))z.reshape)r;   r`   r<   rJ   ru   )rC   rU   vectr   r   r   _print_DiagonalOf   s   
zNumPyPrinter._print_DiagonalOfc                 C   rb   )Nrc   z	.diagflatr   r_   rT   r   r   r   _print_DiagMatrix   s   zNumPyPrinter._print_DiagMatrixc              
   C   sJ   d | | jd | |j| | jd | |jd | |jd S )Nz{}({}, {}({}, {}))r{   .eyer   r   )r;   r`   r<   rJ   ru   rf   rT   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   rU   rt   rL   r   r   rM      s    z0NumPyPrinter._print_Piecewise.<locals>.<genexpr>c                 3   s    | ]} |j V  qd S rH   r   rt   )r   r   r   rM      rN   z{}({}, {}, default={})z.select)sympy.logic.boolalgr   r   r;   rO   r\   r`   r<   rJ   r   r1   )rC   rU   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   rU   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   rX   rL   r   r   rM      rN   z*NumPyPrinter._print_And.<locals>.<genexpr>r;   r`   r<   rO   r\   rT   r   rL   r   
_print_And      .zNumPyPrinter._print_Andc                    r   )Logical Or printerr   z.logical_orr   c                 3   rG   rH   rI   rX   rL   r   r   rM      rN   z)NumPyPrinter._print_Or.<locals>.<genexpr>r   rT   r   rL   r   	_print_Or   r   zNumPyPrinter._print_Orc                    r   )zLogical Not printerrc   z.logical_notr   c                 3   rG   rH   rI   rX   rL   r   r   rM      rN   z*NumPyPrinter._print_Not.<locals>.<genexpr>r   rT   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   rU   r   r   r   r   
_print_Pow   s   zNumPyPrinter._print_Powr   c                    sl   t |dkrtd| t |dkr |d S  d} fdd|D }| d| dd	| d
S )Nr   zNeed at least one argument for r   zfunctools.reducec                       g | ]}  |qS r   rI   rt   rL   r   r   r          z8NumPyPrinter._helper_minimum_maximum.<locals>.<listcomp>(z, [rF   z]))r   NotImplementedErrorrJ   r`   rO   )rC   r   r\   _reduces_argsr   rL   r   _helper_minimum_maximum   s   
z$NumPyPrinter._helper_minimum_maximumc                 C   
   |  |S rH   )_print_minimumrT   r   r   r   
_print_Min      
zNumPyPrinter._print_Minc                 C   *   d | | jd | |j| |jS )N{}({}, axis={})z.aminr;   r`   r<   rJ   arrayaxisrT   r   r   r   _print_amin      *zNumPyPrinter._print_aminc                 C   $   |  | jd }| j|g|jR  S )Nz.minimumr`   r<   r   r\   rC   rU   r   r   r   r   r         zNumPyPrinter._print_minimumc                 C   r   rH   )_print_maximumrT   r   r   r   
_print_Max   r   zNumPyPrinter._print_Maxc                 C   r   )Nr   z.amaxr   rT   r   r   r   _print_amax   r   zNumPyPrinter._print_amaxc                 C   r   )Nz.maximumr   r   r   r   r   r      r   zNumPyPrinter._print_maximumc                 C   $   d|  | jd | |jd f S )N%s(%s)z.angler   r`   r<   rJ   r\   rT   r   r   r   
_print_arg      $zNumPyPrinter._print_argc                 C   r   )Nr   z.imagr   r   rT   r   r   r   	_print_im   r   zNumPyPrinter._print_imc                    s.   d   jd d fdd|jD f S )Nr   z.modrF   c                 3   rG   rH   rI   rt   rL   r   r   rM     rN   z*NumPyPrinter._print_Mod.<locals>.<genexpr>)r`   r<   rO   r\   rT   r   rL   r   
_print_Mod   s   zNumPyPrinter._print_Modc                 C   r   )Nr   z.realr   r   rT   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   r\   r   r/   rT   r   r   r   _print_sinc  r   zNumPyPrinter._print_sincc                 C   s|   d|j v r| | j d| j }| d| |j  dS | j|jjd }|d u r3| | j d}d|| |	 f S )Nr   r   r   r   .arrayr   )
rf   r`   r<   _zerosrJ   known_functionsgetrE   __name__tolistrC   rU   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)rf   allr`   r<   rJ   r   )rC   rU   rf   r   r   r   _print_Identity  s   $zNumPyPrinter._print_Identityc                 C   s(   d | | jd | |jd  S )Nrc   z.blockr   )r;   r`   r<   rJ   r\   r   rT   r   r   r   _print_BlockMatrix  s   zNumPyPrinter._print_BlockMatrixc                 C   s   |  dkr| | j d}| d| |d  dS d|jv r9| | j d| j }| d| |j dS | | j d}| d| |  dS )Nr   r   r   r   r   r   )rankr`   r<   rJ   rf   r   r   r   r   r   r   _print_NDimArray  s   
zNumPyPrinter._print_NDimArrayaddeinsum	transposeoneszerosrH   )F)=r   
__module____qualname____doc__r<   _numpy_known_functionsr?   _numpy_known_constants_kcrA   rR   rV   r^   ra   rd   rj   rm   rp   rr   ry   r   r   r   r   r   r   r   r   r   r   r   r   strr   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   _add_einsum
_transpose_onesr   r   _print_not_supported_print_lowergamma_print_uppergamma_print_fresnelc_print_fresnels__classcell__r   r   rD   r   r7   %   sj    	
		
r7   _print_Eiexpierferfcbesseljjvbesselyyvbesseliivbesselkkvcosm1powm1	factorialgammaloggammagammalndigammapsi	polygammaRisingFactorialpochjacobieval_jacobi
gegenbauereval_gegenbauereval_chebyteval_chebyueval_legendreeval_hermiteeval_laguerreeval_genlaguerrebetalambertw)
chebyshevt
chebyshevulegendrehermitelaguerreassoc_laguerrer&  LambertWgolden_ratio)GoldenRatior/   c                 C   r3   )zscipy.special.r   r   r   r   r   r5   Y  r6   c                 C   r3   )zscipy.constants.r   r   r   r   r   r5   Z  r6   c                       s   e Zd Zi ejeZi ejeZd& fdd	Zdd Z	e	Z
dd Zdd	 Zd
d Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zd d! Zd"d# Zd$d% Z  ZS )'SciPyPrinterNc                       t  j|d d| _d S )Nr9   zPython with SciPy and NumPy)r@   rA   r=   rB   rD   r   r   rA   a     
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datarY   rs   rf   )todokitemsappendr;   r`   rf   )rC   rU   rY   rs   r5  rcr   r   r   r   _print_SparseRepMatrixe  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`   rJ   r\   rT   r   r   r   _print_assoc_legendret  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=  rT   r   r   r   r   {     zSciPyPrinter._print_lowergammac              	   C   r?  )Nr@  rA  zscipy.special.gammainccr   r   r=  rT   r   r   r   r     rB  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                    r   r   rI   rt   rL   r   r   r     r   z/SciPyPrinter._print_betainc.<locals>.<listcomp>r   r   rF   r      z) - r<  z))             * r   )r`   r\   )rC   rU   betaincr&  r\   r   rL   r   _print_betainc  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})rC  r   r   r<  rD  r=  rT   r   r   r   _print_betainc_regularized  s   z'SciPyPrinter._print_betainc_regularizedc                 C      d | d| |jd S )N	{}({})[0]scipy.special.fresnelr   r=  rT   r   r   r   r       zSciPyPrinter._print_fresnelsc                 C   rH  )N	{}({})[1]rJ  r   r=  rT   r   r   r   r    rK  zSciPyPrinter._print_fresnelcc                 C   rH  )NrI  scipy.special.airyr   r=  rT   r   r   r   _print_airyai  rK  zSciPyPrinter._print_airyaic                 C   rH  )NrL  rM  r   r=  rT   r   r   r   _print_airyaiprime  rK  zSciPyPrinter._print_airyaiprimec                 C   rH  )Nz	{}({})[2]rM  r   r=  rT   r   r   r   _print_airybi  rK  zSciPyPrinter._print_airybic                 C   rH  )Nz	{}({})[3]rM  r   r=  rT   r   r   r   _print_airybiprime  rK  zSciPyPrinter._print_airybiprimec                 C      |  |j|j S rH   rJ   _eval_rewrite_as_zetar\   rT   r   r   r   _print_bernoulli  s   zSciPyPrinter._print_bernoullic                 C   rR  rH   rS  rT   r   r   r   _print_harmonic     zSciPyPrinter._print_harmonicc                    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.nquadrW   rF   c                 3   s$    | ]}d t t j| V  qdS )z(%s, %s)N)tuplemaprJ   )r   lrL   r   r   rM     s    
z/SciPyPrinter._print_Integral.<locals>.<genexpr>z{}(lambda {}: {}, {})[0])	r
   r   r`   rX  rY  rJ   r;   rO   r\   )rC   r)   integration_varslimits
module_str	limit_strr   rL   r   _print_Integral  s   


zSciPyPrinter._print_Integralc                 C   rH  )NrI  scipy.special.sicir   r=  rT   r   r   r   	_print_Si  rK  zSciPyPrinter._print_Sic                 C   rH  )NrL  r`  r   r=  rT   r   r   r   	_print_Ci  rK  zSciPyPrinter._print_CirH   )r   r   r   r7   r?   _scipy_known_functionsr   _scipy_known_constantsrA   r;  _print_ImmutableSparseMatrixr>  r   r   rF  rG  r  r  rN  rO  rP  rQ  rU  rV  r_  ra  rb  r  r   r   rD   r   r1  \  s,    r1  c                 C   r3   zcupy.r   r   r   r   r   r5     r6   c                 C   r3   rf  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                    s   t  j|d d S )Nr9   )r@   rA   rB   rD   r   r   rA     rW  zCuPyPrinter.__init__rH   )r   r   r   r   r<   _cupy_known_functionsr?   _cupy_known_constantsr   rA   r  r   r   rD   r   rg    s    rg  c                 C   r3   z
jax.numpy.r   r   r   r   r   r5     r6   c                 C   r3   rk  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                    r2  )Nr9   _jaxcode)r@   rA   r>   rB   rD   r   r   rA     r3  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   rX   rL   r   r   rM     rN   z(JaxPrinter._print_And.<locals>.<genexpr>r   rT   r   rL   r   r   	  
   
zJaxPrinter._print_Andc              	      rn  )r   ro  z.anyr   c                 3   rG   rH   rI   rX   rL   r   r   rM     rN   z'JaxPrinter._print_Or.<locals>.<genexpr>r   rT   r   rL   r   r     rp  zJaxPrinter._print_OrrH   )r   r   r   r   r<   _jax_known_functionsr?   _jax_known_constantsr   rA   r   r   r  r   r   rD   r   rl    s    rl  N)'
sympy.corer   sympy.core.functionr   sympy.core.powerr   pycoder   r   r   r	   r
   r   codeprinterr   splitr   r7  	_in_numpydict_known_functions_numpy_known_constants_numpyr   r   r7   r   setattrconst_known_functions_scipy_special _known_constants_scipy_constantsrc  rd  r1  ri  rj  rg  rq  rr  rl  r   r   r   r   <module>   s     
  	
}