K iddlmZddlmZddlmZddlmZddlm Z ddl m Z m Z m Z mZmZmZmZddlmZmZddlmZmZdd lmZmZdd lmZdd lmZdd lm Z Gd deZ!Gddee Z"y))Sum)Basic)Lambda)Dummy)Integral)NamedArgsMixinrandom_symbols_symbol_converterPSpace RandomSymbol is_random Distribution)ContinuousDistributionSingleContinuousPSpace)DiscreteDistributionSingleDiscretePSpace)SingleFiniteDistributionSingleFinitePSpace)ContinuousDistributionHandmade)DiscreteDistributionHandmade)FiniteDistributionHandmadeceZdZdZdZedZedZedZedZ edZ edZ ed Z ed Z ed Zdd Zd ZdddZdddZddZdddZdddZy)CompoundPSpacez A temporary Probability Space for the Compound Distribution. After Marginalization, this returns the corresponding Probability Space of the parent distribution. c*t|}t|tr t||St|tr t ||St|t r t||St|tstd|ztj|||S)Nz2%s should be an isinstance of CompoundDistribution) r isinstancerrrrrrCompoundDistribution ValueErrorr__new__)clss distributions ]/mnt/ssd/data/python-lab/Trading/venv/lib/python3.12/site-packages/sympy/stats/compound_rv.pyrzCompoundPSpace.__new__s a  l$: ;)!\: : l$8 9'<8 8 l$< =%a6 6,(<=/0<>? ?}}S!\22c.t|j|SN)r symbolselfs r"valuezCompoundPSpace.value$sDKK..r#c |jdSNrargsr's r"r&zCompoundPSpace.symbol(yy|r#c.|jjSr%)r! is_Continuousr's r"r0zCompoundPSpace.is_Continuous,s  ...r#c.|jjSr%)r! is_Finiter's r"r2zCompoundPSpace.is_Finite0s  ***r#c.|jjSr%)r! is_Discreter's r"r4zCompoundPSpace.is_Discrete4s  ,,,r#c |jdS)Nr,r's r"r!zCompoundPSpace.distribution8r.r#cL|jj|jSr%)r!pdfr&r's r"r8zCompoundPSpace.pdf<s  $$T[[11r#c.|jjSr%)r!setr's r"r:zCompoundPSpace.set@s  $$$r#c6|jjSr%)_get_newpspacedomainr's r"r=zCompoundPSpace.domainDs""$+++r#c td}|jjd}t||jj ||}|j |j ||}||Sdt|z}t|)Nxr3Compound Distribution for %s is not implemented yet) rr!r-rr8_transform_pspacer&strNotImplementedError)r(evaluater? parent_distfunc new_pspacemessages r"r<zCompoundPSpace._get_newpspaceHs~ #J'',,Q/ a**..q(;<++DKKdK  ! H3{K[[!'**r#cXt|||}|j}t|trt |t ||St|t rt|t||St|tr+|Dcic] }||| }}t|t|Sycc}w)z This function returns the new pspace of the distribution using handmade Distributions and their corresponding pspace. N) rr:rrrrrrrrrr)r(symdistr8_setkdenss r"rAz CompoundPSpace._transform_pspaceRs S#c(#xx d2 3)#/McSW/XY Y 2 3'-I#t-TU U 6 7'+,!As1vI,D,%c+Ed+KL L8,s?B'T)compound_evaluatec |j|}|j|j|ji}|j|fi|Sr%)r<subsr)compute_densityr(exprrOkwargsrGs r"rRzCompoundPSpace.compute_densityasH(():; yy$**j&6&678)z))$9&99r#c |j|}|j|j|ji}|j|fi|Sr%)r<rQr) compute_cdfrSs r"rWzCompoundPSpace.compute_cdffsH(():; yy$**j&6&678%z%%d5f55r#Nc 6|j|}|j|j|ji}|r'|j|j|ji}t|tr|j ||fi|S|j |||fi|Sr%)r<rQr)rrcompute_expectation)r(rTrvsrDrUrGs r"rYz"CompoundPSpace.compute_expectationks((2 yy$**j&6&678 ((DJJ (8(89:C j"4 51:11$FvF F-z--dCLVLLr#c |j|}|j|j|ji}|j|Sr%)r<rQr) probabilityr( conditionrOrUrGs r"r\zCompoundPSpace.probabilitytsA(():; NNDJJ 0@0@#AB %%i00r#c |j|}|j|j|ji}|j|Sr%)r<rQr)conditional_spacer]s r"r`z CompoundPSpace.conditional_spaceysA(():; NNDJJ 0@0@#AB ++I66r#F)NF)__name__ __module__ __qualname____doc__rpropertyr)r&r0r2r4r!r8r:r=r<rArRrWrYr\r`r#r"rrs 3////++--22%%,,+ M:>: 6:6 M;?1 AE7r#rcteZdZdZdZedZedZedZedZ d dZ dZ e d Z y ) ra Class for Compound Distributions. Parameters ========== dist : Distribution Distribution must contain a random parameter Examples ======== >>> from sympy.stats.compound_rv import CompoundDistribution >>> from sympy.stats.crv_types import NormalDistribution >>> from sympy.stats import Normal >>> from sympy.abc import x >>> X = Normal('X', 2, 4) >>> N = NormalDistribution(X, 4) >>> C = CompoundDistribution(N) >>> C.set Interval(-oo, oo) >>> C.pdf(x, evaluate=True).simplify() exp(-x**2/64 + x/16 - 1/16)/(8*sqrt(pi)) References ========== .. [1] https://en.wikipedia.org/wiki/Compound_probability_distribution ct|tttfsdt |z}t ||j |s|Stj||S)Nr@) rrrrrBrC_compound_checkrr)rrKrHs r"rzCompoundDistribution.__new__sZ$!7(*>!@AKcRViWG%g. .""4(K}}S$''r#c4|jdjSr+)r-r:r's r"r:zCompoundDistribution.setsyy|r#c<t|jdtSr+)rr-rr's r"r0z"CompoundDistribution.is_Continuouss$))A,(>??r#c<t|jdtSr+)rr-rr's r"r2zCompoundDistribution.is_Finites$))A,(@AAr#c<t|jdtSr+)rr-rr's r"r4z CompoundDistribution.is_Discretes$))A,(<==r#cd|jd}|jDcgc]}t|s|}}t|tr t ddd}|j |}nt d}|j |}|D]}|j|||}t|||Scc}w)NryTF)integernegative) r-r rrrpmfr8 _marginaliser)r(r?rDrKrvrandomsrprTs r"r8zCompoundDistribution.pdfsyy| $ ;"Yr]2;; d4 5c4%8A88A;Dc A88A;D 9B$$T2x8D 9vaq!!#. / 0 w<1 r#Nra)rbrcrdrerrfr:r0r2r4r8rt classmethodrjrgr#r"rrs~>(  @@BB>> "   r#rN)#sympy.concrete.summationsrsympy.core.basicrsympy.core.functionrsympy.core.symbolrsympy.integrals.integralsrsympy.stats.rvrr r r r r rsympy.stats.crvrrsympy.stats.drvrrsympy.stats.frvrrsympy.stats.crv_typesrsympy.stats.drv_typesrsympy.stats.frv_typesrrrrgr#r"rsW)"&#.GGGJFH@><l7Vl7^`<`r#