U
    L?h)                      @   s   d Z ddl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ZdZdd	d
dddddddddddddddddddddd d!d"d#d$d%d&d'ZeD ]Zeee< qejd(ejd)ejd*ejd+ejd,iZd-d.d/ZejgZG d0d1 d1eZd6d2d3Zd4d5 ZdS )7a	  
Maple code printer

The MapleCodePrinter converts single SymPy expressions into single
Maple expressions, using the functions defined in the Maple objects where possible.


FIXME: This module is still under actively developed. Some functions may be not completed.
    )S)IntegerIntegerConstantequal_valued)CodePrinter)
precedence
PRECEDENCEN) sincostansecZcscZcotsinhcoshtanhZsechZcschZcothexpfloor	factorialZ	bernoulliZeulerZ	fibonaccigcdZlcm	conjugateZCiChiZEiZLiZSiZShierferfcZharmonicZLambertWsqrtabslnZarcsinZarccosZarctanZarcsecZarccscZarccotZarcsinhZarccoshZarctanhZarcsechZarccschZarccothceilmaxminZdoublefactorialZ
pochhammerZBesselIZBesselJZBesselKZBesselYZHankelH1ZHankelH2ZAiryAiZAiryBiZAppellF1ZFresnelCZFresnelSZLerchPhi)ZAbslogasinacosatanZasecZacscZacotasinhacoshatanhZasechZacschZacothZceilingZMaxZMinZ
factorial2ZRisingFactorialZbesseliZbesseljZbesselkZbesselyZhankelh1Zhankelh2ZairyaiZairybiZappellf1ZfresnelcZfresnelsZlerchphiPizexp(1)Catalangammaz(1/2 + (1/2)*sqrt(5))=z<>)z==z!=c                       s,  e Zd ZdZdZdZddddZeej	fddd	Z	dF 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$ Zd%d& Zd'd( Zd)d* Zd+d, Zd-d. Zd/d0 Zd1d2 ZdGd4d5Zd6d7 Zd8d9 Z d:d; Z!d<d= Z"d>d? Z#d@dA Z$dBdC Z%dDdE Z&  Z'S )HMapleCodePrinterzF
    Printer which converts a SymPy expression into a maple code.
    Z_mapleZmapleandorznot )r*   r+   notT)inlineZallow_unknown_functionsNc                    s>   |d kri }t  | tt| _|di }| j| d S )NZuser_functions)super__init__dictknown_functionsgetupdate)selfsettingsZ	userfuncs	__class__ F/var/www/html/venv/lib/python3.8/site-packages/sympy/printing/maple.pyr/   f   s    
zMapleCodePrinter.__init__c                 C   s   d| S )Nz%s;r8   )r4   Z
codestringr8   r8   r9   _get_statementn   s    zMapleCodePrinter._get_statementc                 C   s
   d |S )Nz# {})format)r4   textr8   r8   r9   _get_commentq   s    zMapleCodePrinter._get_commentc                 C   s   d ||| jd S )Nz	{} := {};	precision)r;   ZevalfZ	_settings)r4   namevaluer8   r8   r9   _declare_number_constt   s    z&MapleCodePrinter._declare_number_constc                 C   s   |S Nr8   )r4   linesr8   r8   r9   _format_codex   s    zMapleCodePrinter._format_codec                 C   s   |  t|S rB   _printlistr4   exprr8   r8   r9   _print_tuple{   s    zMapleCodePrinter._print_tuplec                 C   s   |  t|S rB   rE   rH   r8   r8   r9   _print_Tuple~   s    zMapleCodePrinter._print_Tuplec                 C   s&   |  |j}|  |j}dj||dS )Nz{lhs} := {rhs})lhsrhs)rF   rL   rM   r;   )r4   rI   rL   rM   r8   r8   r9   _print_Assignment   s    z"MapleCodePrinter._print_Assignmentc                 K   s   t |}t|jdr&d| |j| S t|jdrBd| |j S t|jdr^d| |j S dj| |j|| |j|dS d S )	Nz1/%sg      ?zsqrt(%s)g      z
1/sqrt(%s)z{base}^{exp})baser   )r   r   r   parenthesizerP   rF   r;   )r4   rI   kwargsPRECr8   r8   r9   
_print_Pow   s    zMapleCodePrinter._print_Powc                    sT   |j d jdk	r*|j d jtjkr*td fdd|j D }d|}dj|dS )	NrO   TzAll Piecewise expressions must contain an (expr, True) statement to be used as a default condition. Without one, the generated expression may not evaluate to anything under some condition.c                    sN   g | ]F\}}|d k	r8|t jk	r8dj | |dndj |dqS )Tz{c}, {e})cez{e})rV   )r   BooleanTruer;   rF   ).0rV   rU   r4   r8   r9   
<listcomp>   s   z5MapleCodePrinter._print_Piecewise.<locals>.<listcomp>z, zpiecewise({_inbrace}))_inbrace)argsZcondr   rW   
ValueErrorjoinr;   )r4   rI   Z
_coup_listr[   r8   rY   r9   _print_Piecewise   s    "

z!MapleCodePrinter._print_Piecewisec                 C   s,   t |jt |j }}djt|t|dS )Nz{p}/{q})pq)intr`   ra   r;   str)r4   rI   r`   ra   r8   r8   r9   _print_Rational   s    z MapleCodePrinter._print_Rationalc                 C   sJ   t |}| |j|}| |j|}|j}|tkr:t| }dj|||dS )Nz{lhs} {rel_op} {rhs})rL   rel_oprM   )r   rQ   rL   rM   re   spec_relational_opsr;   )r4   rI   rS   Zlhs_codeZrhs_codeopr8   r8   r9   _print_Relational   s    z"MapleCodePrinter._print_Relationalc                 C   s   t | S rB   )number_symbolsrH   r8   r8   r9   _print_NumberSymbol   s    z$MapleCodePrinter._print_NumberSymbolc                 C   s   dS )Nz	-infinityr8   rH   r8   r8   r9   _print_NegativeInfinity   s    z(MapleCodePrinter._print_NegativeInfinityc                 C   s   dS )Ninfinityr8   rH   r8   r8   r9   _print_Infinity   s    z MapleCodePrinter._print_Infinityc                 C   s   |  |jS rB   )rF   labelrH   r8   r8   r9   
_print_Idx   s    zMapleCodePrinter._print_Idxc                 C   s   dS )Ntruer8   rH   r8   r8   r9   _print_BooleanTrue   s    z#MapleCodePrinter._print_BooleanTruec                 C   s   dS )Nfalser8   rH   r8   r8   r9   _print_BooleanFalse   s    z$MapleCodePrinter._print_BooleanFalsec                 C   s   |rdS dS )Nrp   rr   r8   rH   r8   r8   r9   _print_bool   s    zMapleCodePrinter._print_boolc                 C   s   dS )NZ	undefinedr8   rH   r8   r8   r9   
_print_NaN   s    zMapleCodePrinter._print_NaNFc                 C   sF   t j|jkr"dj|rdndd}n dj| | |r:dndd}|S )NzMatrix([], storage = {storage})sparseZrectangular)storagez#Matrix({list}, storage = {storage}))rG   rw   )r   ZZeroshaper;   rF   tolist)r4   rI   rv   Z_strMr8   r8   r9   _get_matrix   s    

zMapleCodePrinter._get_matrixc                 C   s:   dj | j|jtd dd| |jd | |jd dS )Nz{parent}[{i_maple}, {j_maple}]ZAtomT)strict   )parentZi_mapleZj_maple)r;   rQ   r}   r   rF   ijrH   r8   r8   r9   _print_MatrixElement   s
    z%MapleCodePrinter._print_MatrixElementc                 C   s   | j |ddS )NFrv   rz   rH   r8   r8   r9   _print_MatrixBase   s    z"MapleCodePrinter._print_MatrixBasec                 C   s   | j |ddS )NTr   r   rH   r8   r8   r9   _print_SparseRepMatrix   s    z'MapleCodePrinter._print_SparseRepMatrixc                 C   s8   t |jttfr | t|S dj| |jdS d S )Nz$Matrix({var_size}, shape = identity))Zvar_size)
isinstancerowsr   r   rF   sympyZSparseMatrixr;   rH   r8   r8   r9   _print_Identity   s    z MapleCodePrinter._print_Identityc                    s   t | t|j}d }t|d tjtjtjtjfsJ|d |dd   }}|d ksZ|dkrtd	 fdd|D S dj
|d	 fdd|D dS d S )	Nr   r|   .c                 3   s   | ]} | V  qd S rB   rQ   rX   _mrS   r4   r8   r9   	<genexpr>   s     z1MapleCodePrinter._print_MatMul.<locals>.<genexpr>z{c}*{m}c                 3   s   | ]} | V  qd S rB   r   r   r   r8   r9   r      s     )rU   m)r   rG   r\   r   r   Z
MatrixBaseZ
MatrixExprZMatrixSliceZMatrixSymbolr^   r;   )r4   rI   
_fact_listZ_constr8   r   r9   _print_MatMul   s    
 zMapleCodePrinter._print_MatMulc                 C   s   dj | |j| |jdS )NzMatrixPower({A}, {n}))An)r;   rF   rP   r   rH   r8   r8   r9   _print_MatPow   s    zMapleCodePrinter._print_MatPowc                    s,   t | t|j}d fdd|D S )N*c                 3   s   | ]} | V  qd S rB   r   r   r   r8   r9   r      s     z:MapleCodePrinter._print_HadamardProduct.<locals>.<genexpr>)r   rG   r\   r^   )r4   rI   r   r8   r   r9   _print_HadamardProduct   s    
z'MapleCodePrinter._print_HadamardProductc                 C   sX   |j \}\}}|dkr2dj| || |d}ndj| |d}dj| ||dS )Nr|   z{var}${order})varorderz{var})r   zdiff({func_expr}, {sec_arg}))Z	func_exprZsec_arg)r\   r;   rF   )r4   rI   _fZ_var_orderZ_second_argr8   r8   r9   _print_Derivative   s    z"MapleCodePrinter._print_Derivative)N)F)(__name__
__module____qualname____doc__Zprintmethodlanguage
_operatorsr0   r   Z_default_settingsr/   r:   r=   rA   rD   rJ   rK   rN   rT   r_   rd   rh   rj   rk   rm   ro   rq   rs   rt   ru   rz   r   r   r   r   r   r   r   r   __classcell__r8   r8   r6   r9   r)   T   sP   	

r)   c                 K   s   t || |S )aU  Converts ``expr`` to a string of Maple code.

    Parameters
    ==========

    expr : Expr
        A SymPy expression to be converted.
    assign_to : optional
        When given, the argument is used as the name of the variable to which
        the expression is assigned.  Can be a string, ``Symbol``,
        ``MatrixSymbol``, or ``Indexed`` type.  This can be helpful for
        expressions that generate multi-line statements.
    precision : integer, optional
        The precision for numbers such as pi  [default=16].
    user_functions : dict, optional
        A dictionary where keys are ``FunctionClass`` instances and values are
        their string representations.  Alternatively, the dictionary value can
        be a list of tuples i.e. [(argument_test, cfunction_string)].  See
        below for examples.
    human : bool, optional
        If True, the result is a single string that may contain some constant
        declarations for the number symbols.  If False, the same information is
        returned in a tuple of (symbols_to_declare, not_supported_functions,
        code_text).  [default=True].
    contract: bool, optional
        If True, ``Indexed`` instances are assumed to obey tensor contraction
        rules and the corresponding nested loops over indices are generated.
        Setting contract=False will not generate loops, instead the user is
        responsible to provide values for the indices in the code.
        [default=True].
    inline: bool, optional
        If True, we try to create single-statement code instead of multiple
        statements.  [default=True].

    )r)   Zdoprint)rI   Z	assign_tor5   r8   r8   r9   
maple_code  s    $r   c                 K   s   t t| f| dS )a&  Prints the Maple representation of the given expression.

    See :func:`maple_code` for the meaning of the optional arguments.

    Examples
    ========

    >>> from sympy import print_maple_code, symbols
    >>> x, y = symbols('x y')
    >>> print_maple_code(x, assign_to=y)
    y := x
    N)printr   )rI   r5   r8   r8   r9   print_maple_code-  s    r   )N)r   Z
sympy.corer   Zsympy.core.numbersr   r   r   Zsympy.printing.codeprinterr   Zsympy.printing.precedencer   r   r   Z_known_func_same_namer1   Z_funcr%   ZExp1r&   Z
EulerGammaZGoldenRatiori   rf   ZComplexInfinityZnot_supported_symbolr)   r   r   r8   r8   r8   r9   <module>   sx   

$
      3
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