ÂÂÂÂÂÂÂÂÂÂÂÂÂÂÂÂÂÂÂÂÂÂÂÂÂÂÂÂÂÂÂÂÂÂÂÂ 3 \W\ã@s†ddlmZddlZddlZddlZddlZddlZddgZdd„Zdd„Z ej jZej j ZejdejejBƒZGd d„dejƒZdS) é)ÚDecimalNÚFractionÚgcdcCsfddl}|jdtdƒt|ƒtko0t|ƒknr\|p<|dkrPtj||ƒStj||ƒSt||ƒS)Nrz6fractions.gcd() is deprecated. Use math.gcd() instead.é)ÚwarningsÚwarnÚDeprecationWarningÚtypeÚintÚmathrÚ_gcd)ÚaÚbr©rú!/usr/lib64/python3.6/fractions.pyrs cCsx|r|||}}qW|S)Nr)r rrrrr sraC \A\s* # optional whitespace at the start, then (?P[-+]?) # an optional sign, then (?=\d|\.\d) # lookahead for digit or .digit (?P\d*) # numerator (possibly empty) (?: # followed by (?:/(?P\d+))? # an optional denominator | # or (?:\.(?P\d*))? # an optional fractional part (?:E(?P[-+]?\d+))? # and optional exponent ) \s*\Z # and optional whitespace to finish csœeZdZdRZdSddœ‡fdd„Zed d „ƒZedd„ƒZdTdd„Ze dd„ƒZ e dd„ƒZdd„Zdd„Z dd„Zdd„Zeeejƒ\ZZdd„Zeeejƒ\ZZdd„Zeeejƒ\ZZd d!„Zeeejƒ\ZZd"d#„Z d$d%„Z!d&d'„Z"d(d)„Z#d*d+„Z$d,d-„Z%d.d/„Z&d0d1„Z'd2d3„Z(d4d5„Z)d6d7„Z*d8d9„Z+dUd:d;„Z,dd?„Z.d@dA„Z/dBdC„Z0dDdE„Z1dFdG„Z2dHdI„Z3dJdK„Z4dLdM„Z5dNdO„Z6dPdQ„Z7‡Z8S)VrÚ _numeratorÚ_denominatorrNT)Ú _normalizecsRtt|ƒj|ƒ}|dkrdt|ƒtkr6||_d|_|St|tj ƒrV|j |_|j|_|St|tt fƒrx|jƒ\|_|_|St|tƒrZtj|ƒ}|dkr¢td|ƒ‚t|jdƒp°dƒ}|jdƒ}|rÌt|ƒ}nvd}|jdƒ}|rdt|ƒ}||t|ƒ}||9}|jdƒ} | rBt| ƒ} | d kr4|d| 9}n|d| 9}|jd ƒdkrb|}ntdƒ‚nft|ƒtko€t|ƒknrŠn@t|tj ƒrÂt|tj ƒrÂ|j |j|j |j}}ntd ƒ‚|d kràtd|ƒ‚|rBt|ƒtkot|ƒknr(tj||ƒ} |d kr2| } n t||ƒ} || }|| }||_||_|S)Néz Invalid literal for Fraction: %rZnumÚ0ÚdenomÚdecimalé ÚexprZsignú-z2argument should be a string or a Rational instancez+both arguments should be Rational instanceszFraction(%s, 0))ÚsuperrÚ__new__r r rrÚ isinstanceÚnumbersÚRationalÚ numeratorÚdenominatorÚfloatrÚas_integer_ratioÚstrÚ_RATIONAL_FORMATÚmatchÚ ValueErrorÚgroupÚlenÚ TypeErrorÚZeroDivisionErrorrrr)Úclsr r!rÚselfÚmrrZscalerÚg)Ú __class__rrrTsr $ $ zFraction.__new__cCsDt|tjƒr||ƒSt|tƒs8td|j|t|ƒjfƒ‚||jƒŽS)Nz.%s.from_float() only takes floats, not %r (%s))rrÚIntegralr"r*Ú__name__r r#)r,ÚfrrrÚ from_floatÁs zFraction.from_floatcCsVddlm}t|tjƒr&|t|ƒƒ}n$t||ƒsJtd|j|t|ƒjfƒ‚||j ƒŽS)Nr)rz2%s.from_decimal() only takes Decimals, not %r (%s)) rrrrr1r r*r2r r#)r,ZdecrrrrÚfrom_decimalÏs zFraction.from_decimalé@Bc Csâ|dkrtdƒ‚|j|kr"t|ƒSd\}}}}|j|j}}xP||}|||} | |kr\P|||||| f\}}}}||||}}q>W|||} t|| ||| |ƒ}t||ƒ}t||ƒt||ƒkrÚ|S|SdS)Nrz$max_denominator should be at least 1r)rrrr)r'rrrÚabs) r-Zmax_denominatorZp0Zq0Zp1Zq1ÚnÚdr Zq2ÚkZbound1Zbound2rrrÚlimit_denominatorÛs& zFraction.limit_denominatorcCs|jS)N)r)r rrrr szFraction.numeratorcCs|jS)N)r)r rrrr!szFraction.denominatorcCsd|jj|j|jfS)Nz %s(%s, %s))r0r2rr)r-rrrÚ__repr__szFraction.__repr__cCs(|jdkrt|jƒSd|j|jfSdS)Nrz%s/%s)rr$r)r-rrrÚ__str__s zFraction.__str__csT‡‡fdd„}dˆjd|_ˆj|_‡‡fdd„}dˆjd|_ˆj|_||fS)NcsPt|ttfƒrˆ||ƒSt|tƒr0ˆt|ƒ|ƒSt|tƒrHˆt|ƒ|ƒStSdS)N)rr rr"ÚcomplexÚNotImplemented)r r)Úfallback_operatorÚmonomorphic_operatorrrÚforwardvs z-Fraction._operator_fallbacks..forwardÚ__csZt|tjƒrˆ||ƒSt|tjƒr4ˆt|ƒt|ƒƒSt|tjƒrRˆt|ƒt|ƒƒStSdS)N)rrrZRealr"ÚComplexr>r?)rr )r@rArrÚreverse‚s z-Fraction._operator_fallbacks..reverseZ__r)r2Ú__doc__)rAr@rBrEr)r@rArÚ_operator_fallbacks&sP zFraction._operator_fallbackscCs,|j|j}}t|j||j|||ƒS)N)r!rr )r rÚdaÚdbrrrÚ_add‘sz Fraction._addcCs,|j|j}}t|j||j|||ƒS)N)r!rr )r rrHrIrrrÚ_sub™sz Fraction._subcCst|j|j|j|jƒS)N)rr r!)r rrrrÚ_mul¡sz Fraction._mulcCst|j|j|j|jƒS)N)rr r!)r rrrrÚ_div§sz Fraction._divcCstj||ƒS)N)rÚfloor)r rrrrÚ__floordiv__®szFraction.__floordiv__cCstj||ƒS)N)rrN)rr rrrÚ __rfloordiv__²szFraction.__rfloordiv__cCs||}|||S)Nr)r rÚdivrrrÚ__mod__¶szFraction.__mod__cCs||}|||S)Nr)rr rQrrrÚ__rmod__»szFraction.__rmod__cCs¬t|tjƒrœ|jdkrŠ|j}|dkr>t|j||j|ddS|jdkrft|j||j|ddSt|j||j|ddSq¨t|ƒt|ƒSnt|ƒ|SdS)NrrF)r) rrrr!r rrrr")r rZpowerrrrÚ__pow__Às zFraction.__pow__cCs\|jdkr|jdkr||jSt|tjƒrs