o
    8VaQ                     @   s@  d Z ddlmZmZ ddlmZmZmZmZ ddl	m
Z
 i dddddd	d
dddd ddfdd ddfdd ddfdd ddfdd ddfdd ddfdd ddfgdd d ddfgd!d"d#d$d%d&d'd'd(d(d)d)d*d*d+d+d,d,d-d-d.d.d/d0d1d2d3d4Zg d5ZG d6d7 d7e
Zd=d9d:Zd;d< Zd8S )>a  
Rust code printer

The `RustCodePrinter` converts SymPy expressions into Rust expressions.

A complete code generator, which uses `rust_code` extensively, can be found
in `sympy.utilities.codegen`. The `codegen` module can be used to generate
complete source code files.

    )AnyDict)SRationalFloatLambda)CodePrinterZfloorZceilingZceilZAbsabssignZsignumZPowc                 C      |t j kS Nr   Onebaseexp r   5/usr/lib/python3/dist-packages/sympy/printing/rust.py<lambda>G       r   Zrecip   c                 C   s
   |t jkS r   r   ZHalfr   r   r   r   r   H   s   
 Zsqrtc                 C   r   r   r   r   r   r   r   r   I   r   zsqrt().recipc                 C   s   |t ddkS )N      )r   r   r   r   r   r   J       Zcbrtc                 C   s   | t jd kS )Nr   r   r   r   r   r   r   K   r   Zexp2r   c                 C      |j S r   
is_integerr   r   r   r   r   L   s    Zpowir   c                 C   s   |j  S r   r   r   r   r   r   r   M   s    Zpowfr   c                 C      dS )NTr   )r   r   r   r   r   N   s    logZlnZMaxmaxZMinminZsinZcosZtanZasinZacosZatanZatan2Zsinhcoshtanhasinhacoshatanh)r"   r#   r$   r%   r&   )4ZabstractZalignofasZbecomeZboxbreakconstcontinueZcrateZdoelseenumZexternfalsefinalfnforifimplinZletZloopZmacromatchmodmoveZmutZoffsetofoverrideZprivprocZpubZpurerefreturnZSelfselfZsizeofZstaticstructsuperZtraittruetypeZtypeofZunsafeZunsizedZuseZvirtualwherewhileyieldc                       sl  e Zd ZdZdZdZdddi dde dd	dd

Zi 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dO fd!d"	ZdO fd#d$	Zd%d& Zd'd( Zd)d* Zd+d, Zd-d. ZdOd/d0ZdOd1d2ZdOd3d4ZdOd5d6ZdOd7d8ZdOd9d:ZdOd;d<Z dOd=d>Z!d?d@ Z"dAdB Z#dCdD Z$dEdF Z%dGdH Z& fdIdJZ'dKdL Z(dMdN Z)  Z*S )PRustCodePrinterz?A printer to convert python expressions to strings of Rust codeZ
_rust_codeZRustNauto   TF_)
ZorderZ	full_precZ	precisionuser_functionsZhumancontractdereferenceZerror_on_reservedZreserved_word_suffixinlinec                 C   sN   t | | tt| _|di }| j| t|dg | _tt| _d S )NrG   rI   )	r   __init__dictknown_functionsgetupdateset_dereferencereserved_words)r;   settingsZ	userfuncsr   r   r   rK      s   
zRustCodePrinter.__init__c                 C   s   |d S )N   r   )r;   pr   r   r   _rate_index_position      z$RustCodePrinter._rate_index_positionc                 C      d| S )Nz%s;r   )r;   Z
codestringr   r   r   _get_statement   rW   zRustCodePrinter._get_statementc                 C   rX   )Nz// %sr   )r;   textr   r   r   _get_comment   rW   zRustCodePrinter._get_commentc                 C   s   d||f S )Nzconst %s: f64 = %s;r   )r;   namevaluer   r   r   _declare_number_const      z%RustCodePrinter._declare_number_constc                 C   
   |  |S r   )indent_code)r;   linesr   r   r   _format_code   s   
zRustCodePrinter._format_codec                    s    |j \}  fddt|D S )Nc                 3   s&    | ]}t  D ]}||fV  qqd S r   )range).0ijcolsr   r   	<genexpr>  s   $ z;RustCodePrinter._traverse_matrix_indices.<locals>.<genexpr>)shaperd   )r;   matZrowsr   rh   r   _traverse_matrix_indices  s   
z(RustCodePrinter._traverse_matrix_indicesc              
   C   sX   g }g }d}|D ]}| || || |j| |jd d  | d q||fS )Nz#for %(var)s in %(start)s..%(end)s {r   )varstartend})append_printlowerupper)r;   indicesZ
open_linesZclose_linesZ	loopstartrf   r   r   r   _get_loop_opening_ending  s   

z(RustCodePrinter._get_loop_opening_endingc                 C   s>   t |jdkrd| | d S |jr| j|ddS | |S )Nr   ()T)_type)lenargsrs   Z	is_numberr;   exprr   r   r   _print_caller_var  s
   
z!RustCodePrinter._print_caller_varc                 C   sD  |j j| jv r| j|j j }d}d}t|tr|}n|D ]\}}}||j r( nq|dur|dkrSd| |jd |t|jdkrL| |jdd dndd }|S |dkrfd	| |jd |d
 }|S |dkryd	| |jd |d
 }|S d|| |jdd }|S dS t	|drt|j
tr| |j
|j S | |S )a<  
        basic function for printing `Function`

        Function Style :

        1. args[0].func(args[1:]), method with arguments
        2. args[0].func(), method without arguments
        3. args[1].func(), method without arguments (e.g. (e, x) => x.exp())
        4. func(args), function with arguments
        Nr   z%(var)s.%(method)s(%(args)s)r   ,  )rn   methodr|   r   z%(var)s.%(method)s())rn   r   r   z%(func)s(%(args)s))funcr|   _imp_)r   __name__rM   
isinstancestrr|   r   r{   Z	stringifyhasattrr   r   rs   _print_not_supported)r;   r~   Z	cond_funcr   Zstylecondretr   r   r   _print_Function  sN   

&	
zRustCodePrinter._print_Functionc                 C   s:   |j jr|jjst|t|j |j}| |S | |S r   )r   r   r   r?   r   rs   r   r}   r   r   r   
_print_PowP  s   

zRustCodePrinter._print_Powc                       t  |}|r|d S |S )NZ_f64)r=   _print_Floatr;   r~   rz   r   	__class__r   r   r   V     zRustCodePrinter._print_Floatc                    r   )NZ_i32)r=   _print_Integerr   r   r   r   r   ]  r   zRustCodePrinter._print_Integerc                 C   s"   t |jt |j}}d||f S )Nz%d_f64/%d.0)intrU   q)r;   r~   rU   r   r   r   r   _print_Rationald  s   zRustCodePrinter._print_Rationalc                 C   s,   |  |j}|  |j}|j}d|||S )Nz{} {} {})rs   lhsrhsZrel_opformat)r;   r~   lhs_coderhs_codeopr   r   r   _print_Relationalh  s   z!RustCodePrinter._print_Relationalc                 C   s`   |j }tj}tj}tt|jD ]}||j| | 7 }||| 9 }qd| |j	j
| |f S )N%s[%s])rk   r   ZZeror   reversedrd   Zrankrv   rs   r   label)r;   r~   Zdimselemoffsetrf   r   r   r   _print_Indexedn  s   zRustCodePrinter._print_Indexedc                 C   s   |j jS r   )r   r\   r}   r   r   r   
_print_Idxx  rW   zRustCodePrinter._print_Idxc                 C   r   r   )r\   r}   r   r   r   _print_Dummy{  s   zRustCodePrinter._print_Dummyc                 C   r   )NEr   r;   r~   rz   r   r   r   _print_Exp1~     zRustCodePrinter._print_Exp1c                 C   r   )NZPIr   r   r   r   r   	_print_Pi  r   zRustCodePrinter._print_Pic                 C   r   )NZINFINITYr   r   r   r   r   _print_Infinity  r   zRustCodePrinter._print_Infinityc                 C   r   )NZNEG_INFINITYr   r   r   r   r   _print_NegativeInfinity  r   z'RustCodePrinter._print_NegativeInfinityc                 C   r   )Nr>   r   r   r   r   r   _print_BooleanTrue  r   z"RustCodePrinter._print_BooleanTruec                 C   r   )Nr-   r   r   r   r   r   _print_BooleanFalse  r   z#RustCodePrinter._print_BooleanFalsec                 C   s   t | S r   )r   rt   r   r   r   r   _print_bool  r_   zRustCodePrinter._print_boolc                 C   r   )NZNANr   r   r   r   r   
_print_NaN  r   zRustCodePrinter._print_NaNc                 C   s   |j d jdkrtdg }t|j D ]G\}\}}|dkr(|d| |  n#|t|j d kr>|dkr>|d  d7  < n|d  d| | 7  < | |}|| |d	 q| jd
 red|S d|S )NTzAll 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.r   z	if (%s) {r   z else {z else if (%s) {rq   rJ    
)	r|   r   
ValueError	enumeraterr   rs   r{   	_settingsjoin)r;   r~   rb   rf   ecZcode0r   r   r   _print_Piecewise  s   




z RustCodePrinter._print_Piecewisec                 C   s:   ddl m} ||jd |jd f|jd df}| |S )Nr   )	Piecewiser   r   T)Zsympy.functionsr   r|   rs   )r;   r~   r   Z
_piecewiser   r   r   
_print_ITE  s   $
zRustCodePrinter._print_ITEc                    s.   |j dkrdd fdd|D  S td)Nr   z[%s]r   c                 3   s    | ]}  |V  qd S r   )rs   )re   ar;   r   r   rj     s    z4RustCodePrinter._print_MatrixBase.<locals>.<genexpr>zLFull Matrix Support in Rust need Crates (https://crates.io/keywords/matrix).)ri   r   r   )r;   Ar   r   r   _print_MatrixBase  s   
z!RustCodePrinter._print_MatrixBasec                 C   r`   r   )r   )r;   rl   r   r   r   _print_SparseMatrix  s   
z#RustCodePrinter._print_SparseMatrixc                 C   s"   d|j |j|j|j jd   f S )Nr   r   )parentrg   rf   rk   r}   r   r   r   _print_MatrixElement  s   z$RustCodePrinter._print_MatrixElementc                    s"   t  |}|| jv rd| S |S )Nz(*%s))r=   _print_SymbolrQ   )r;   r~   r\   r   r   r   r     s   
zRustCodePrinter._print_Symbolc                 C   sh   ddl m} |j}|j}| jd r!||s||r!| ||S | |}| |}| d||f S )Nr   )IndexedBaserH   z%s = %s)	Zsympy.tensor.indexedr   r   r   r   ZhasZ_doprint_loopsrs   rY   )r;   r~   r   r   r   r   r   r   r   r   _print_Assignment  s   

z!RustCodePrinter._print_Assignmentc           
         s   t |tr| |d}d|S d}dd dd |D }fdd|D } fd	d|D }g }d
}t|D ])\}}	|	dksE|	dkrK||	 q9||| 8 }|d|| |	f  ||| 7 }q9|S )z0Accepts a string of code or a list of code linesTr   z    ){rx   z{
z(
)rq   ry   c                 S   s   g | ]}| d qS )z 	)lstripre   liner   r   r   
<listcomp>  s    z/RustCodePrinter.indent_code.<locals>.<listcomp>c                        g | ]}t tt|j qS r   )r   anymapendswithr   )	inc_tokenr   r   r     s     c                    r   r   )r   r   r   
startswithr   )	dec_tokenr   r   r     s    r   r   z%s%s)r   r   ra   
splitlinesr   r   rr   )
r;   codeZ
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	rC   Nc                 K   s   t || |S )a  Converts an expr to a string of Rust 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 is helpful in case of
        line-wrapping, or for expressions that generate multi-line statements.
    precision : integer, optional
        The precision for numbers such as pi [default=15].
    user_functions : dict, optional
        A dictionary where the keys are string representations of either
        ``FunctionClass`` or ``UndefinedFunction`` instances and the values
        are their desired C string representations. Alternatively, the
        dictionary value can be a list of tuples i.e. [(argument_test,
        cfunction_string)].  See below for examples.
    dereference : iterable, optional
        An iterable of symbols that should be dereferenced in the printed code
        expression. These would be values passed by address to the function.
        For example, if ``dereference=[a]``, the resulting code would print
        ``(*a)`` instead of ``a``.
    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].

    Examples
    ========

    >>> from sympy import rust_code, symbols, Rational, sin, ceiling, Abs, Function
    >>> x, tau = symbols("x, tau")
    >>> rust_code((2*tau)**Rational(7, 2))
    '8*1.4142135623731*tau.powf(7_f64/2.0)'
    >>> rust_code(sin(x), assign_to="s")
    's = x.sin();'

    Simple custom printing can be defined for certain types by passing a
    dictionary of {"type" : "function"} to the ``user_functions`` kwarg.
    Alternatively, the dictionary value can be a list of tuples i.e.
    [(argument_test, cfunction_string)].

    >>> custom_functions = {
    ...   "ceiling": "CEIL",
    ...   "Abs": [(lambda x: not x.is_integer, "fabs", 4),
    ...           (lambda x: x.is_integer, "ABS", 4)],
    ...   "func": "f"
    ... }
    >>> func = Function('func')
    >>> rust_code(func(Abs(x) + ceiling(x)), user_functions=custom_functions)
    '(fabs(x) + x.CEIL()).f()'

    ``Piecewise`` expressions are converted into conditionals. If an
    ``assign_to`` variable is provided an if statement is created, otherwise
    the ternary operator is used. Note that if the ``Piecewise`` lacks a
    default term, represented by ``(expr, True)`` then an error will be thrown.
    This is to prevent generating an expression that may not evaluate to
    anything.

    >>> from sympy import Piecewise
    >>> expr = Piecewise((x + 1, x > 0), (x, True))
    >>> print(rust_code(expr, tau))
    tau = if (x > 0) {
        x + 1
    } else {
        x
    };

    Support for loops is provided through ``Indexed`` types. With
    ``contract=True`` these expressions will be turned into loops, whereas
    ``contract=False`` will just print the assignment expression that should be
    looped over:

    >>> from sympy import Eq, IndexedBase, Idx
    >>> len_y = 5
    >>> y = IndexedBase('y', shape=(len_y,))
    >>> t = IndexedBase('t', shape=(len_y,))
    >>> Dy = IndexedBase('Dy', shape=(len_y-1,))
    >>> i = Idx('i', len_y-1)
    >>> e=Eq(Dy[i], (y[i+1]-y[i])/(t[i+1]-t[i]))
    >>> rust_code(e.rhs, assign_to=e.lhs, contract=False)
    'Dy[i] = (y[i + 1] - y[i])/(t[i + 1] - t[i]);'

    Matrices are also supported, but a ``MatrixSymbol`` of the same dimensions
    must be provided to ``assign_to``. Note that any expression that can be
    generated normally can also exist inside a Matrix:

    >>> from sympy import Matrix, MatrixSymbol
    >>> mat = Matrix([x**2, Piecewise((x + 1, x > 0), (x, True)), sin(x)])
    >>> A = MatrixSymbol('A', 3, 1)
    >>> print(rust_code(mat, A))
    A = [x.powi(2), if (x > 0) {
        x + 1
    } else {
        x
    }, x.sin()];
    )rC   Zdoprint)r~   Z	assign_torS   r   r   r   	rust_code  s   mr   c                 K   s   t t| fi | dS )z3Prints Rust representation of the given expression.N)printr   )r~   rS   r   r   r   print_rust_codeh  s   r   r   )r   typingr   r   Z
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