o
    e@M                     @   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$d%d%d&d&d'd(d)d*d+d,d-d.d/d/d0d0d1d1d2d2d3d4d5d6d7d7d8d9d:d;d<d=d>d?d@dAdBdCdDdEdFZdGddHZdId e D ZdJd e D ZG dKdL dLeZ eD ]Zee d"e e
 qeD ]Zee d"e e	 qdMd e D Z!dNd e D Z"G dOdP dPeZ#e!D ]Zee#d"e e
 q e"D ]Zee#d"e e	 q/dQd e D Z$dRd e D Z%G dSdT dTeZ&e$D ]Zee&d"e e
 qXe%D ]Zee&d"e e	 qgdUS )V    )S)Lambda)Pow   )PythonCodePrinter_known_functions_math_print_known_const_print_known_func_unpack_integral_limitsArrayPrinter)CodePrinterz!erf erfc factorial gamma loggammac                 C   s    g | ]\}}|t vr||fqS  )_not_in_numpy.0kvr   r   DD:\Projects\ConvertPro\env\Lib\site-packages\sympy/printing/numpy.py
<listcomp>	   s     r   ZarccosZarccoshZarcsinZarcsinhZarctanZarctan2Zarctanhexp2sign	logaddexp
logaddexp2)acosacoshasinasinhatanatan2atanhr   r   r   r   epiZeuler_gammananZPINFZNINF)ZExp1PiZ
EulerGammaNaNInfinityNegativeInfinityc                 C      i | ]	\}}|d | qS znumpy.r   r   r   r   r   
<dictcomp>        r)   c                 C   r'   r(   r   r   r   r   r   r)   !   r*   c                       s`  e Zd ZdZdZeZeZdL fdd	Z	dd Z
dd	 Zd
d Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zd d! Zd"d# Zd$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$d=d> Z%d?d@ Z&dAdB Z'dCdD Z(dEdF Z)dGZ*dHZ+dIZ,dJZ-dKZ.e/j0Z1e/j0Z2e/j0Z3e/j0Z4  Z5S )NNumPyPrinterza
    Numpy printer which handles vectorized piecewise functions,
    logical operators, etc.
    numpyNc                    s@   d | j| _d | j| _i tj| j| _t j|d dS )z
        `settings` is passed to CodePrinter.__init__()
        `module` specifies the array module to use, currently 'NumPy', 'CuPy'
        or 'JAX'.
        zPython with {}z_{}codesettingsN)format_modulelanguageZprintmethodr   _kfsuper__init__selfr.   	__class__r   r   r4   -   s   zNumPyPrinter.__init__c                    s"   d}d | fdd|D S )z+General sequence printer: converts to tuple, z({},)c                 3       | ]}  |V  qd S N_print)r   itemr6   r   r   	<genexpr>@       z*NumPyPrinter._print_seq.<locals>.<genexpr>)r/   join)r6   seq	delimiterr   r?   r   
_print_seq;   s   zNumPyPrinter._print_seqc                    sj   |  d tjur%|  d |  d g }dd fdd|D S dd fdd|jD S )zMatrix multiplication printerr   r   ({})z).dot(c                 3   r:   r;   r<   r   ir?   r   r   r@   F   rA   z-NumPyPrinter._print_MatMul.<locals>.<genexpr>c                 3   r:   r;   r<   rG   r?   r   r   r@   G   rA   )Zas_coeff_matricesr   ZOner/   rB   args)r6   exprZ	expr_listr   r?   r   _print_MatMulB   s    zNumPyPrinter._print_MatMulc                 C   s2   d | | jd | |jd | |jd S )zMatrix power printerz
{}({}, {})z.linalg.matrix_powerr   r   r/   _module_formatr0   r=   rI   r6   rJ   r   r   r   _print_MatPowI   s   zNumPyPrinter._print_MatPowc                 C   $   d | | jd | |jd S )zMatrix inverse printer{}({})z.linalg.invr   rL   rN   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)rI   shapeTrM   r0   r=   )r6   rJ   Zarg1Zarg2r   r   r   _print_DotProductS   s   
zNumPyPrinter._print_DotProductc                 C   s*   d|  | jd | |j| |jf S )NrS   z.linalg.solve)rM   r0   r=   matrixZvectorrN   r   r   r   _print_MatrixSolve`   s   

zNumPyPrinter._print_MatrixSolvec                 C       d | | jd | |jS )NrQ   z.zerosr/   rM   r0   r=   rT   rN   r   r   r   _print_ZeroMatrixe      
zNumPyPrinter._print_ZeroMatrixc                 C   rY   )NrQ   z.onesrZ   rN   r   r   r   _print_OneMatrixi   r\   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   )rH   jz{}(lambda {}: {}, {})z.fromfunctionr9   c                 3   r:   r;   r<   r   argr?   r   r   r@   s   rA   z5NumPyPrinter._print_FunctionMatrix.<locals>.<genexpr>r   )Z	sympy.abcrH   r^   lamda
isinstancer   r/   rM   r0   rB   rI   r=   rT   )r6   rJ   rH   r^   ra   r   r?   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/   r=   r_   funcr6   r   r   r@   x       z6NumPyPrinter._print_HadamardProduct.<locals>.<genexpr>{}{})r   rM   r0   rB   rI   r/   r=   lenrN   r   rj   r   _print_HadamardProductv      z#NumPyPrinter._print_HadamardProductc                    rd   )	Nz.kronrf   c                 3   rg   rh   ri   r_   rj   r   r   r@   ~   rl   z7NumPyPrinter._print_KroneckerProduct.<locals>.<genexpr>rm   rn   ro   r   rp   rN   r   rj   r   _print_KroneckerProduct|   rs   z$NumPyPrinter._print_KroneckerProductc                 C   s2   d | | jd | | jd | |jd S )Nz
{}({}({}))z
.conjugatez
.transposer   rL   rN   r   r   r   _print_Adjoint   s
   zNumPyPrinter._print_Adjointc                 C   s8   d | | jd | |j}d | | jd |S )NrQ   z.diagz{}({}, (-1, 1))z.reshape)r/   rM   r0   r=   r`   )r6   rJ   Zvectr   r   r   _print_DiagonalOf   s   
zNumPyPrinter._print_DiagonalOfc                 C   rP   )NrQ   z	.diagflatr   rL   rN   r   r   r   _print_DiagMatrix   s   zNumPyPrinter._print_DiagMatrixc              
   C   sJ   d | | jd | |j| | jd | |jd | |jd S )Nz{}({}, {}({}, {}))re   .eyer   r   )r/   rM   r0   r=   r`   rT   rN   r   r   r   _print_DiagonalMatrix   s   z"NumPyPrinter._print_DiagonalMatrixc                    s   ddl m m  fddddfdd|jD }ddfd	d|jD }d
jd ||t	j
S )zPiecewise function printerr   )ITEsimplify_logicc                    s"   |   r| S | S )z$ Problem having an ITE in the cond. )hasr=   Zcond)rz   r6   r{   r   r   
print_cond   s   

z1NumPyPrinter._print_Piecewise.<locals>.print_condz[{}],c                 3   s    | ]	}  |jV  qd S r;   )r=   rJ   r_   r?   r   r   r@      s    z0NumPyPrinter._print_Piecewise.<locals>.<genexpr>c                 3   s    | ]} |j V  qd S r;   r}   r_   )r~   r   r   r@      rA   z{}({}, {}, default={})z.select)Zsympy.logic.boolalgrz   r{   r/   rB   rI   rM   r0   r=   r   r$   )r6   rJ   exprsZcondsr   )rz   r~   r6   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lessZ
less_equalZgreaterZgreater_equal)z==z!=<z<=>z>=z{op}({lhs}, {rhs}).)oplhsrhs)	Zrel_opr=   r   r   r/   rM   r0   r3   _print_Relational)r6   rJ   r   r   r   r7   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   r:   r;   r<   rG   r?   r   r   r@      rA   z*NumPyPrinter._print_And.<locals>.<genexpr>r/   rM   r0   rB   rI   rN   r   r?   r   
_print_And      .zNumPyPrinter._print_Andc                    r   )Logical Or printerr   z.logical_orr   c                 3   r:   r;   r<   rG   r?   r   r   r@      rA   z)NumPyPrinter._print_Or.<locals>.<genexpr>r   rN   r   r?   r   	_print_Or   r   zNumPyPrinter._print_Orc                    r   )zLogical Not printerrQ   z.logical_notr   c                 3   r:   r;   r<   rG   r?   r   r   r@      rA   z*NumPyPrinter._print_Not.<locals>.<genexpr>r   rN   r   r?   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_integerZis_negativer   baseZevalfZ_hprint_Powr0   )r6   rJ   r   r   r   r   
_print_Pow   s   zNumPyPrinter._print_Powc                    r   )N{}(({}), axis=0)z.aminr   c                 3   r:   r;   r<   rG   r?   r   r   r@      rA   z*NumPyPrinter._print_Min.<locals>.<genexpr>r   rN   r   r?   r   
_print_Min      .zNumPyPrinter._print_Minc                    r   )Nr   z.amaxr   c                 3   r:   r;   r<   rG   r?   r   r   r@      rA   z*NumPyPrinter._print_Max.<locals>.<genexpr>r   rN   r   r?   r   
_print_Max   r   zNumPyPrinter._print_Maxc                 C   $   d|  | jd | |jd f S )N%s(%s)z.angler   rM   r0   r=   rI   rN   r   r   r   
_print_arg      $zNumPyPrinter._print_argc                 C   r   )Nr   z.imagr   r   rN   r   r   r   	_print_im   r   zNumPyPrinter._print_imc                    s.   d   jd d fdd|jD f S )Nr   z.modr9   c                 3   r:   r;   r<   r_   r?   r   r   r@      rA   z*NumPyPrinter._print_Mod.<locals>.<genexpr>)rM   r0   rB   rI   rN   r   r?   r   
_print_Mod   s   zNumPyPrinter._print_Modc                 C   r   )Nr   z.realr   r   rN   r   r   r   	_print_re   r   zNumPyPrinter._print_rec                 C   s*   d|  | jd | |jd tj f S )Nr   z.sincr   )rM   r0   r=   rI   r   r#   rN   r   r   r   _print_sinc   s   *zNumPyPrinter._print_sincc                 C   s@   | j |jjd }|d u r| | jd }d|| | f S )Nz.arrayr   )Zknown_functionsgetr8   __name__rM   r0   r=   tolist)r6   rJ   rk   r   r   r   _print_MatrixBase   s   zNumPyPrinter._print_MatrixBasec                 C   sD   |j }tdd |D rd| | jd | |j d f S td)Nc                 s   s    | ]}|j V  qd S r;   )Z
is_Integer)r   dimr   r   r   r@      s    z/NumPyPrinter._print_Identity.<locals>.<genexpr>r   rx   r   zFSymbolic matrix dimensions are not yet supported for identity matrices)rT   allrM   r0   r=   NotImplementedError)r6   rJ   rT   r   r   r   _print_Identity   s   $zNumPyPrinter._print_Identityc                 C   s(   d | | jd | |jd  S )NrQ   z.blockr   )r/   rM   r0   r=   rI   r   rN   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$| | S t| |S )Nr   z.array(r   ro      )rq   rT   r0   r=   rI   Ztomatrixr   _print_not_supportedrN   r   r   r   _print_NDimArray   s
   zNumPyPrinter._print_NDimArrayaddZeinsumZ	transposeZonesZzerosr;   )F)6r   
__module____qualname____doc__r0   _numpy_known_functionsr2   _numpy_known_constants_kcr4   rE   rK   rO   rR   rV   rX   r[   r]   rc   rr   rt   ru   rv   rw   ry   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   _addZ_einsumZ
_transposeZ_onesZ_zerosr   r   _print_lowergamma_print_uppergamma_print_fresnelc_print_fresnels__classcell__r   r   r7   r   r+   #   s^    	
r+   Z_print_ZEiZexpierferfcZbesseljZjvZbesselyZyvZbesseliZivZbesselkkvZcosm1Zpowm1	factorialgammaZloggammaZgammalnZdigammapsiZ	polygammaZRisingFactorialZpochZjacobiZeval_jacobiZ
gegenbauerZeval_gegenbauerZeval_chebytZeval_chebyuZeval_legendreZeval_hermiteZeval_laguerreZeval_genlaguerrebetaZlambertw)Z
chebyshevtZ
chebyshevuZlegendreZhermiteZlaguerreZassoc_laguerrer   ZLambertWZgolden_ratio)ZGoldenRatior#   c                 C   r'   )zscipy.special.r   r   r   r   r   r)   8  r*   c                 C   r'   )zscipy.constants.r   r   r   r   r   r)   9  r*   c                       s   e Zd Zi ejeZi ejeZd& fdd	Zdd Z	e	Z
dd Zdd	 Zd
d Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zd d! Zd"d# Zd$d% Z  ZS )'SciPyPrinterNc                    s   t  j|d d| _d S )Nr-   zPython with SciPy and NumPy)r3   r4   r1   r5   r7   r   r   r4   @  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datarH   r^   rT   )Ztodokitemsappendr/   rM   rT   )r6   rJ   rH   r^   r   rcr   r   r   r   _print_SparseRepMatrixD  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/   rM   r=   rI   rN   r   r   r   _print_assoc_legendreS  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   rN   r   r   r   r   Z     zSciPyPrinter._print_lowergammac              	   C   r   )Nr   r   zscipy.special.gammainccr   r   r   rN   r   r   r   r   a  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   r<   r_   r?   r   r   r   k  s    z/SciPyPrinter._print_betainc.<locals>.<listcomp>(r   r9   r      z) - r   z))             * ro   )rM   rI   )r6   rJ   Zbetaincr   rI   r   r?   r   _print_betainch  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   rN   r   r   r   _print_betainc_regularizedo  s   z'SciPyPrinter._print_betainc_regularizedc                 C      d | d| |jd S )N	{}({})[0]scipy.special.fresnelr   r   rN   r   r   r   r   w     zSciPyPrinter._print_fresnelsc                 C   r   )N	{}({})[1]r   r   r   rN   r   r   r   r   |  r   zSciPyPrinter._print_fresnelcc                 C   r   )Nr   scipy.special.airyr   r   rN   r   r   r   _print_airyai  r   zSciPyPrinter._print_airyaic                 C   r   )Nr   r   r   r   rN   r   r   r   _print_airyaiprime  r   zSciPyPrinter._print_airyaiprimec                 C   r   )Nz	{}({})[2]r   r   r   rN   r   r   r   _print_airybi  r   zSciPyPrinter._print_airybic                 C   r   )Nz	{}({})[3]r   r   r   rN   r   r   r   _print_airybiprime  r   zSciPyPrinter._print_airybiprimec                 C      |  |j|j S r;   r=   Z_eval_rewrite_as_zetarI   rN   r   r   r   _print_bernoulli  s   zSciPyPrinter._print_bernoullic                 C   r   r;   r   rN   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.nquadrF   r9   c                 3   s$    | ]}d t t j| V  qdS )z(%s, %s)N)tuplemapr=   )r   lr?   r   r   r@     s    
z/SciPyPrinter._print_Integral.<locals>.<genexpr>z{}(lambda {}: {}, {})[0])	r
   rq   rM   r   r   r=   r/   rB   rI   )r6   r    Zintegration_varsZlimitsZ
module_strZ	limit_strr   r?   r   _print_Integral  s   


zSciPyPrinter._print_Integralc                 C   r   )Nr   scipy.special.sicir   r   rN   r   r   r   	_print_Si  r   zSciPyPrinter._print_Sic                 C   r   )Nr   r   r   r   rN   r   r   r   	_print_Ci  r   zSciPyPrinter._print_Cir;   )r   r   r   r+   r2   _scipy_known_functionsr   _scipy_known_constantsr4   r   Z_print_ImmutableSparseMatrixr   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r7   r   r   ;  s,    r   c                 C   r'   zcupy.r   r   r   r   r   r)     r*   c                 C   r'   r   r   r   r   r   r   r)     r*   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.
    ZcupyNc                       t  j|d d S Nr-   r3   r4   r5   r7   r   r   r4     r   zCuPyPrinter.__init__r;   )r   r   r   r   r0   _cupy_known_functionsr2   _cupy_known_constantsr   r4   r   r   r   r7   r   r     s    r   c                 C   r'   z
jax.numpy.r   r   r   r   r   r)     r*   c                 C   r'   r   r   r   r   r   r   r)     r*   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                    r   r   r   r5   r7   r   r   r4     r   zJaxPrinter.__init__c              	      8   d   jd   jd fdd|jD S )r   {}({}.asarray([{}]), axis=0)z.allr   c                 3   r:   r;   r<   rG   r?   r   r   r@     rA   z(JaxPrinter._print_And.<locals>.<genexpr>r   rN   r   r?   r   r     
   
zJaxPrinter._print_Andc              	      r   )r   r   z.anyr   c                 3   r:   r;   r<   rG   r?   r   r   r@     rA   z'JaxPrinter._print_Or.<locals>.<genexpr>r   rN   r   r?   r   r     r   zJaxPrinter._print_Orr;   )r   r   r   r   r0   _jax_known_functionsr2   _jax_known_constantsr   r4   r   r   r   r   r   r7   r   r     s    r   N)'Z
sympy.corer   Zsympy.core.functionr   Zsympy.core.powerr   Zpycoder   r   r   r	   r
   r   Zcodeprinterr   splitr   r   Z	_in_numpydictZ_known_functions_numpyZ_known_constants_numpyr   r   r+   rk   setattrconstZ_known_functions_scipy_specialZ _known_constants_scipy_constantsr   r   r   r   r   r   r   r  r   r   r   r   r   <module>   s     
	 o	
}