o
    Tdd<                     @   s  d Z ddlZddlZddlZddlZddlZddlmZ ddl	m
Z
mZ ddlmZ ddlmZmZmZmZ ddlmZ ddlmZ dd	lmZ e
d
ZejZeedZejZej Z!eedZ"e"jZ#e"j Z$dZ%dZ&dZ'dZ(dd Z)dd Z*dd Z+dd Z,dd Z-dd Z.dd Z/dd  Z0d!d" Z1d#d$ Z2d%d& Z3d'd( Z4dd*d+Z5e4ej6d, e4ej7d-Z8e4ej9d.Z:e4ej;d/Z<e4ej=d0Z>e4ej?d1Z@e5ejAd2d3ZBe5ejCd4d5ZDe5ejEd6d7ZFe5ejGd8d9ZHe5ejId:d;ZJe5ejKd<d=ZLe5ejMd>d?ZNe5ejOd@dAZPe5ejQdBdCZRe5ejSdDdEZTe5ejUdFdGZVe5ejWdHdIZXe5ejYdJdKZZe5ej[dLdMZ\e5ej]dNdOZ^e5ej_dPdQdRZ`e5ejadSdTdRZbe5ejcdUdVZde5ejedWdXZfe5ejgdYdZdRZhe5ejid[d\Zjeejkejld]d^ Zmeejkejnd_d` Zoeejpejldadb Zqeejpejndcdd Zreejsejldedf Zteejsejndgdh Zueejvejlejldidj Zweejxejldkdl Zyeejzejlej{dmdn Z|eej}ej~ej~dodp Zeej}ejejdqdr Zeej}ejlejldsdt Zeejej~ej~dudv Zeejejejdwdx Zeejejlejldydz Zeejejld{d| Ze3eje eejejld}d~ Ze3eje eejejlejleejejlejndd Zdd Zeedd Zdd Zeejejnejne dS )zA
Provide math calls that uses intrinsics or libc math functions.
    N)Constant)Registryimpl_ret_untracked)typeof)typesutilsconfigcgutils)overload)	signature)trailing_zerosmathimplfloat32float64il        l    l            c                 C   s   |  d||S )z<
    Return a condition testing whether *val* is a NaN.
    uno)fcmp_unorderedbuilderval r   i/home/ncw/WWW/www-new/content/articles/pi-bbp/venv/lib/python3.10/site-packages/numba/cpython/mathimpl.pyis_nan(   s   r   c                 C   sH   t |jtd}t |jtd}| d||}| d||}| ||S )zB
    Return a condition testing whether *val* is an infinite.
    z+infz-infz==)r   typefloatfcmp_orderedor_)r   r   pos_infneg_infisposinfisneginfr   r   r   is_inf.   s
   r    c                 C   s   |  ||}| d||S )z?
    Return a condition testing whether *val* is a finite.
    ord)fsubr   )r   r   val_minus_valr   r   r   	is_finite8   s   r$   c                 C   (   |j tj ks
J | |tjdS )z1
    Bitcast a double into a 64-bit integer.
    @   )r   llvmliteir
DoubleTypebitcastIntTyper   r   r   r   f64_as_int64@      r,   c                 C   (   |j tjdksJ | |tj S )z1
    Bitcast a 64-bit integer into a double.
    r&   )r   r'   r(   r+   r*   r)   r   r   r   r   int64_as_f64G      r/   c                 C   r%   )z0
    Bitcast a float into a 32-bit integer.
        )r   r'   r(   	FloatTyper*   r+   r   r   r   r   f32_as_int32N   r-   r3   c                 C   r.   )z0
    Bitcast a 32-bit integer into a float.
    r1   )r   r'   r(   r+   r*   r2   r   r   r   r   int32_as_f32U   r0   r4   c                 C   s   |  t|jd|S )zB
    Negate real number *val*, with proper handling of zeros.
    g       )r"   r   r   r   r   r   r   negate_real\   s   r5   c                 C   s(   | j }||dd |D }| ||S )z9
    Call a LLVM intrinsic floating-point operation.
    c                 S   s   g | ]}|j qS r   )r   ).0ar   r   r   
<listcomp>h   s    z%call_fp_intrinsic.<locals>.<listcomp>)moduledeclare_intrinsiccall)r   nameargsmodintrr   r   r   call_fp_intrinsicc   s   r@   c                    s    fdd}|S )z
    Return an implementation factory to convert the single integral input
    argument to a float64, then defer to the *wrapped_impl*.
    c           	         sT   |\}|j d }| |||tj}ttjtj} | |||f}| ||tj|jS )Nr   )r=   castr   r   r   return_type)	contextr   sigr=   r   
input_typefpval	inner_sigreswrapped_implr   r   implementerq   s   
z2_unary_int_input_wrapper_impl.<locals>.implementerr   )rJ   rK   r   rI   r   _unary_int_input_wrapper_impll   s   rL   c                 C   s   t |}t| tj| d S N)rL   lowerr   Integer)fn
float_implimplr   r   r   unary_math_int_impl{   s   rS   c                    s&   t | tj fdd}t| | |S )zO
    Implement the math function *fn* using the LLVM intrinsic *intrcode*.
    c                    s   t | |}t| ||j|S rM   )r@   r   rB   rC   r   rD   r=   rH   intrcoder   r   rQ      s   z#unary_math_intr.<locals>.float_impl)rN   r   FloatrS   )rP   rV   rQ   r   rU   r   unary_math_intr   s   

rX   Fc                    s:   |rt jnd} fdd}t| t j| t| | |S )a!  
    Register implementations of Python function *fn* using the
    external function named *f32extern* and *f64extern* (for float32
    and float64 inputs, respectively).
    If *int_restype* is true, then the function's return value should be
    integral, otherwise floating-point.
    Nc                    s   |\}|j }|jd }| |}tj tji| }tj||g}	t	j
|j |	|d}
||
|f}| ||||j}t| ||j|S )z9
        Implement *fn* for a types.Float input.
        r   r<   )r9   r=   get_value_typer   r   r   r'   r(   FunctionTyper	   insert_pure_functionr;   rA   rB   r   )rC   r   rD   r=   r   r>   rE   lty	func_namefntyrP   rH   	f32extern	f64externr   r   rQ      s   

z%unary_math_extern.<locals>.float_impl)r   int64rN   rW   rS   )rP   ra   rb   int_restype	f_restyperQ   r   r`   r   unary_math_extern   s
   
rf   z	llvm.fabszllvm.expzllvm.logz
llvm.log10zllvm.sinzllvm.coslog1pflog1pexpm1fexpm1erfferferfcferfctanftanasinfasinacosfacosatanfatanasinhfasinhacoshfacoshatanhfatanhsinhfsinhcoshfcoshtanhftanhlog2flog2ceilfceilTfloorffloornumba_gammafnumba_gammasqrtfsqrttruncftrunclgammaflgammac                 C       |\}t ||}t| ||j|S rM   )r   r   rB   rC   r   rD   r=   r   rH   r   r   r   isnan_float_impl      
r   c                 C      t j}t| ||j|S rM   r	   	false_bitr   rB   rT   r   r   r   isnan_int_impl      r   c                 C   r   rM   )r    r   rB   r   r   r   r   isinf_float_impl   r   r   c                 C   r   rM   r   rT   r   r   r   isinf_int_impl   r   r   c                 C   r   rM   )r$   r   rB   r   r   r   r   isfinite_float_impl   r   r   c                 C   r   rM   )r	   true_bitr   rB   rT   r   r   r   isfinite_int_impl   r   r   c                 C   sN   |d j }|j}t|tj|||fd|j }|||}t	| ||j
|S )Nr   zllvm.copysign.%s)r   r9   r	   get_or_insert_functionr'   r(   r[   intrinsic_namer;   r   rB   )rC   r   rD   r=   r]   r>   rP   rH   r   r   r   copysign_float_impl   s   
r   c                 C   s   |\}|  |jd }|  |jd }tj||dd}tj||tj|f}dddt	| }	t
|j||	}
||
||f}t||||f}t| ||j|S )Nr      exprY   numba_frexpfnumba_frexpr   double)get_data_typer=   rB   r	   alloca_oncer'   r(   r[   PointerTypestrr   r9   r;   make_anonymous_structloadr   )rC   r   rD   r=   r   flttyinttyexpptrr_   fnamerP   rH   r   r   r   
frexp_impl  s   r   c                 C   sp   |\}}t | j|j\}}tj|||f}dddt| }	tj|j	||	d}
|
|
||f}t| ||j|S )Nnumba_ldexpfnumba_ldexpr   rY   )mapr   r=   r'   r(   r[   r   r	   r\   r9   r;   r   rB   )rC   r   rD   r=   r   r   r   r   r_   r   rP   rH   r   r   r   
ldexp_impl  s   r   c                 C   P   |\}}| |tj }| |tj }ttjtjtj}t| ||||fS rM   )sitofpr'   r(   r)   r   r   r   atan2_float_implrC   r   rD   r=   yxfsigr   r   r   atan2_s64_impl%  
   r   c                 C   r   rM   )uitofpr'   r(   r)   r   r   r   r   r   r   r   r   atan2_u64_impl-  r   r   c                 C   s~   t |dksJ |j}|jd }| |}tjdtjdi| }tj	|||f}t
j|j||d}	||	|}
t| ||j|
S )N   r   atan2fatan2rY   )lenr9   r=   rZ   r   r   r   r'   r(   r[   r	   r\   r;   r   rB   )rC   r   rD   r=   r>   tyr]   r^   r_   rP   rH   r   r   r   r   5  s   

r   c                 C   `   |\}}| |tj }| |tj }ttjtjtj}t| ||||f}t| ||j	|S rM   
r   r'   r(   r)   r   r   r   hypot_float_implr   rB   rC   r   rD   r=   r   r   r   rH   r   r   r   hypot_s64_implH     r   c                 C   r   rM   r   r   r   r   r   hypot_u64_implR  r   r   c                    s   |j \}}||  kr|jksJ  J |\}}tjtjdkr!dndtjtjdkr+dndi| }t||tjdkrNtj	dkrN|t
d  fdd	}	nfd
d	}	| ||	||}
t| ||j|
S )Nwin32_hypotfhypotf_hypothypotr1   infc                    s"   t | s
t |r S | |S rM   )mathisinfr   r   r   
plat_hypotr   r   
hypot_implm  s   
z$hypot_float_impl.<locals>.hypot_implc                    s
    | |S rM   r   r   )r   r   r   r   r  s   
)r=   rB   r   r   sysplatformr   ExternalFunctionr   MACHINE_BITSr   compile_internalr   )rC   r   rD   r=   xtyytyr   r   r   r   rH   r   r   r   r   \  s   
r   c                 C   s6   |\}|  |jtjd }|||}t| ||j|S N   get_constantrB   r   pifmulr   rC   r   rD   r=   r   coefrH   r   r   r   radians_float_impl{     r   c                 C   s6   |\}|  |jdtj }|||}t| ||j|S r   r   r   r   r   r   degrees_float_impl  r   r   c                 C   s   |  tj|}|||S rM   )get_functionoperatorpow)rC   r   rD   r=   rR   r   r   r   pow_impl  s   
r   c                 C   s   dS )z8Convert integer to unsigned integer of equivalent width.Nr   Tr   r   r   	_unsigned  s   r   c                    s>   | t jv r	dd S | t jv rtt d| j  fddS d S )Nc                 S   s   | S rM   r   r   r   r   r   <lambda>  s    z _unsigned_impl.<locals>.<lambda>zuint{}c                    s    | S rM   r   r   newTr   r   r     s    )r   unsigned_domainsigned_domaingetattrformatbitwidthr   r   r   r   _unsigned_impl  s   

r   c           
      C   sX   |j \}}||  kr|jksJ  J |\}}dd }| ||||}	t| ||j|	S )Nc           	      S   s   t | }| dkrt|S |dkrt| S t| }t|}t||}ttt| |}ttt||}||krR||krB||}}||8 }t|t|}||ks9t|||}|S )zO
        Stein's algorithm, heavily cribbed from Julia implementation.
        r   )r   absr   minr   npright_shift
left_shift)	r7   br   zazbkuvrr   r   r   gcd  s    

zgcd_impl.<locals>.gcd)r=   rB   r   r   )
rC   r   rD   r=   r   r   r   r   r  rH   r   r   r   gcd_impl  s   
r	  )F)__doc__r   r   r   numpyr   llvmlite.irr'   r   numba.core.imputilsr   r   numbar   
numba.corer   r   r   r	   numba.core.extendingr
   numba.core.typingr   numba.cpython.unsafe.numbersr   registryrN   finfodtype_NP_FLT_FINFOmaxFLT_MAXtinyFLT_MIN_NP_DBL_FINFODBL_MAXDBL_MINFLOAT_ABS_MASKFLOAT_SIGN_MASKDOUBLE_ABS_MASKDOUBLE_SIGN_MASKr   r    r$   r,   r/   r3   r4   r5   r@   rL   rS   rX   rf   fabsr   exp_implloglog_impllog10
log10_implsinsin_implcoscos_implrh   
log1p_implrj   
expm1_implrl   erf_implrn   	erfc_implrp   tan_implrr   	asin_implrt   	acos_implrv   	atan_implrx   
asinh_implrz   
acosh_implr|   
atanh_implr~   	sinh_implr   	cosh_implr   	tanh_implr   	log2_implr   	ceil_implr   
floor_implgamma
gamma_implr   	sqrt_implr   
trunc_implr   lgamma_implisnanrW   r   rO   r   r   r   r   isfiniter   r   copysignr   frexpr   ldexpintcr   r   rc   r   uint64r   r   r   r   r   r   radiansr   degreesr   r   r   r   r   r	  r  r   r   r   r   <module>   s    
	
$












	
	



