+ i<ZRt^RIHt^RIHt^RIHt^RIHt!RR4t Rt Rt R #) a Interval Arithmetic for plotting. This module does not implement interval arithmetic accurately and hence cannot be used for purposes other than plotting. If you want to use interval arithmetic, use mpmath's interval arithmetic. The module implements interval arithmetic using numpy and python floating points. The rounding up and down is not handled and hence this is not an accurate implementation of interval arithmetic. The module uses numpy for speed which cannot be achieved with mpmath. ) int_valued) fuzzy_and) nsimplify)intervalMembershipca]tRt^*toRtRR/Rlt]R4t]R4tRt Rt R t R t R t R tR tRtRt]tRtRtRtRt]tRtRtRtRtRtRtRtVtR#)intervalaRepresents an interval containing floating points as start and end of the interval The is_valid variable tracks whether the interval obtained as the result of the function is in the domain and is continuous. - True: Represents the interval result of a function is continuous and in the domain of the function. - False: The interval argument of the function was not in the domain of the function, hence the is_valid of the result interval is False - None: The function was not continuous over the interval or the function's argument interval is partly in the domain of the function A comparison between an interval and a real number, or a comparison between two intervals may return ``intervalMembership`` of two 3-valued logic values. is_validTcNWn\V4^8Xd\V^,\4'd4V^,PV^,P uVnVnR#\ V^,4Vn\ V^,4VnR#\V4^8XdvV^,V^,8d1\ V^,4Vn\ V^,4VnR#\ V^,4Vn\ V^,4VnR#\R4h)z9interval takes a maximum of two float values as argumentsN)rlen isinstancerstartendfloat ValueError)selfrargskwargss&$*,m/var/www/html/photoedit/myenv/lib/python3.14/site-packages/sympy/plotting/intervalmath/interval_arithmetic.py__init__interval.__init__<s t9>$q'8,,'+Aw}}d1gkk$ DH"47^  a> Y!^Awa "47^  a>"47^  a>+, ,cJVPVP,R, #)g@r rrs&rmid interval.midPs TXX%,,rc<VPVP, #N)rr rs&rwidthinterval.widthTsxx$**$$rc@RVPVP3,#)zinterval(%f, %f)rrs&r__repr__interval.__repr__Xs!TZZ$:::rc@RVPVP3,#)z[%f, %f]rrs&r__str__interval.__str__[sTZZ222rc0\V\\34'deVPV8d\ RVP 4#VP V8d\ RVP 4#\ RVP 4#\V\4'd|\VP VP .4pVPVP 8d \ RV4#VP VP8d \ RV4#\ RV4#\#TFN r intrrrrr rrNotImplementedrothervalids&& r__lt__interval.__lt__^s ec5\ * *xx%)$ >>e#)%??)$ >> x ( (t}}enn=>Exx%,,&)$66zzEII%)%77%dE2 2! !rc\\V\\34'deVPV8d\ RVP 4#VP V8d\ RVP 4#\ RVP 4#\V\4'dVPV4#\#r() r r*rr rrrrr/r+rr-s&&r__gt__interval.__gt__qs ec5\ * *zzE!)$ >>E!)%??)$ >> x ( (<<% %! !rcp\V\\34'dkVPV8Xd(VPV8Xd\ RVP 4#W9d\ RVP 4#\ RVP 4#\V\4'd\VP VP .4pVPVP8Xd(VPVP8Xd \ RV4#VPV4^,e \ RV4#\ RV4#\#)TNF r r*rr rrrrrr/r+r,s&& r__eq__interval.__eq__~s ec5\ * *zzU"txx5'8)$ >>})$ >>)%?? eX & &t}}enn=>EzzU[[(TXX-B)$66U#A&2)%77)$66! !rcp\V\\34'dkVPV8Xd(VPV8Xd\ RVP 4#W9d\ RVP 4#\ RVP 4#\V\4'd\VP VP .4pVPVP8Xd(VPVP8Xd \ RV4#VPV4^,e \ RV4#\ RV4#\#)FNTr6r,s&& r__ne__interval.__ne__s ec5\ * *zzU"txx5'8)%??})$ >>)$ >> eX & &t}}enn=>EzzU[[(TXX-B)%77;;u%a(0)$66%dE2 2! !rc0\V\\34'deVPV8:d\ RVP 4#VP V8d\ RVP 4#\ RVP 4#\V\4'd|\VP VP .4pVPVP 8:d \ RV4#VP VP8d \ RV4#\ RV4#\#r(r)r,s&& r__le__interval.__le__s ec5\ * *xx5 )$ >>zzE!)%??)$ >> eX & &t}}enn=>Exx5;;&)$66zzEII%)%77%dE2 2! !rcT\V\\34'deVPV8d\ RVP 4#VP V8d\ RVP 4#\ RVP 4#\V\4'dVPV4#R#r() r r*rr rrrrr=r2s&&r__ge__interval.__ge__s ec5\ * *zzU")$ >>E!)%??)$ >> x ( (<<% %)rc<\V\\34'd~VP'd/\ VP V,VP V,4#VP V,pVP V,p\ W#VPR7#\V\4'diVP VP ,pVP VP ,p\VPVP.4p\ W#VR7#\#r) r r*rrrr rrr+rr-r rr.s&& r__add__interval.__add__s ec5\ * *}}} U 2DHHu4DEE U*hh&T]]CC x ( (JJ,E((UYY&Ct}}enn=>EE7 7! !rc\V\\34'd>VPV, pVPV, p\ W#VP R7#\V\ 4'diVPVP, pVPVP, p\VP VP .4p\ W#VR7#\#rC) r r*rr rrrrr+rEs&& r__sub__interval.__sub__s ec5\ * *JJ&E((U"CE? ? x ( (JJ*E((U[[(Ct}}enn=>EE7 7! !rc \V\\34'd<WP, pWP, p\ W#VP R7#\V\ 4'dVPV4#\#rC) r r*rrr rrrIr+)rr-r rs&& r__rsub__interval.__rsub__s^ ec5\ * *HH$E**$CE? ? x ( (==& &! !rcVP'd#\VP)VP)4#\VP)VP)VPR7#rC)rrrr rs&r__neg__interval.__neg__sC ===TXXI {3 3TXXI {T]]K Krc\V\4'EdRVPRJgVPRJd"\\R4)\R4RR7#VPeVPf"\\R4)\R4RR7#.pVP VP VP ,4VP VP VP ,4VP VP VP ,4VP VP VP ,4\V4p\V4p\W44#\V\\34'd;\VP V,VP V,VPR7#\#)FinfrDN) r rrrappendr rminmaxr*r+)rr-intersr rs&& r__mul__interval.__mul__s, eX & &}}%5)@u uU|eLL&%..*@u uU|dKK djj5;;67 dhh45 djj59945 dhh23F &k++ U| , ,DJJu,dhhunt}}U U! !rc\V\\34'd'VPV8*;'dVPV8#VPVP8*;'dVPVP8*#r)r r*rr rr2s&&r __contains__interval.__contains__ s[ ec5\ * *::&<<488u+< <::,FFdhh1F Frc\V\\34'd\V4pVP V4#\V\4'dVP V4#\ #r)r r*rr __truediv__r+r2s&&r __rtruediv__interval.__rtruediv__sQ ec5\ * *UOE$$T* * x ( ($$T* *! !rcVP'g,\\R4)\R4VPR7#\V\\34'dWV^8Xd"\\R4)\R4RR7#\VP V, VP V, 4#\V\4'EdVPRJgVPRJd"\\R4)\R4RR7#VPeVPf"\\R4)\R4RR7#^V9d"\\R4)\R4RR7#TpVP ^8dV)pV)p.pVPVP VP , 4VPVP VP , 4VPVP VP , 4VPVP VP , 4\V4p\V4p\WE4#\#)rRrDFN) rrrr r*r rrSrUrTr+)rr-thisrVr rs&& rr]interval.__truediv__s}}}U5\M5<$--P P ec5\ * *zu uU|eLL U 2DHHu4DEE x ( (~~&$--5*@u uU|eLL'4==+@u uU|dKK:#U5\M5<$OO99q= 5D"FE djj5;;67 dhh45 djj59945 dhh23F &k++! !rcp^RIHpHpVP'gV#\ V\ 4'dV!W!V4,4#\ V\ \34'dPV^8d"^VP\V44, #\V4'd \W4#\W4#\#)r )explog) lib_intervalrdrerr rrr*__pow__absr_pow_int _pow_floatr+)rr-rdres&& rrginterval.__pow__Bs*}}}K eX & &us4y() ) s| , ,qy4<<E 333e$$#D00%d22! !rc\V\\34'dVP'gV#V^8dVP^8d"\ \R4)\R4RR7#\ VP4pVP4wr4V^,^8Xd"\ \R4)\R4RR7#\V4VP,)pTp\ WV4#\ WP,WP,4#\V\ 4'dVPV4#\#)rRFrD) r rr*rrrrr as_numer_denomrhrrgr+)rr-power_rationalnumdenomr rs&& r__rpow__interval.__rpow__Ts eeS\ * *=== ::>#U5\M5<%PP%.tzz%:N!/!>!>!@JCqyA~'u uU|16 88"%UTZZ!7 7#'33zz 15((?CC x ( (==& &! !rcZ\VPVPVP34#r)hashrr rrs&r__hash__interval.__hash__ms T]]DJJ9::r)rrr N) __name__ __module__ __qualname____firstlineno____doc__rpropertyrrr"r%r/r3r7r:r=r@rF__radd__rIrLrOrW__rmul__rZr^r]rgrrrv__static_attributes____classdictcell__) __classdict__s@rrr*s",t,(--%%;3"& ""("&"& &""H ""L "(HG "'"R"$"2;;rrc\V4pVP4wr4V^,^8Xdd\VP4V,p\VP4V,pV^8d\ ^\ WV44pV#\ WV4pV#V^,^8XdVP^8d"\ \R4)\R4RR7#VP^8d \ ^VPV,RR7#\ VPV,VPV,4#VP^8d\VP4V,)pMVPV,pVP^8d\VP4V,)pMVPV,p\ WVVPR7#)z1Evaluates an interval raised to a floating point.rRFrDN) rrnrhr rrrUrr)interpowerrorprqr rrets&& rrjrjqsZu%N..0JC Qw!|EKK %'%))ne# 191c%o.C 5&C a 99q=U5\M5<%H H [[1_Auyy%/$? ?EKK. 50@A A ;;?%u,,EKK&E 99q=uyy>5((C))U"CU^^<rs2 D*&-3D;D;N =B Br