+ ii<Rt^RIHt^RIHt^RIHt^RIHt^RI H t ^RI H t 0RkRkR kR kR kR kR kRkRkRkRkRkRkRkRkRkRkRkRkRkRkRkRkRkRkR kR!kR"kR#kR$kR%kR&kR'kt R(R)R*R+R,R-/t /R.R.bR/R/bR0R0bR1R1bR2R2bR3R3bR4R4bR5R6bR7R7bR8R8bR9R9bR:R:bR;R;bRR>bR?R?bR@R@RARARBRBRCRDRERERFRERGRGRHRHRIRIRJRJRKRKRLRMRNRNRORO/CtRPRQRRRSRTRQRURVRWRXRYRX/tRZtR[t!R\R]] 4t!R^R_4t!R`Ra]4t]P*Ft]!]Rb],]4K ]Ft]!]Rb],]4K Rct^RIHt^RdIHtR;R;RMRMRERER7R7RJRJRNRNR.R.R0R0R2R2R8R8RKRKROROR/R/R1R1R4R4/tRRRSRTRQRURVReRf/t!RgRh]4t]P*Ft]!]Rb],]P 4K ]Ft]!]Rb],]P"4K RiP;4t]P?4UUu.uFwrV]9gKW3NK uppt ]!!] 3/RjRjRkRkRlRlRmRmRnRnRCRCRoRoRpRpRqRqRrRrRsRsRtRt/ Bt"RPRQRRRSRuRvRwRxRyRzRWRXRURVReR{/t#R|t$!R}R~]4t%]%P*Ft]!]%Rb],]4K ]#Ft]!]%Rb],]4K !RR]4t&R#uuppi)zy Python code printers This module contains Python code printers for plain Python as well as NumPy & SciPy enabled code. ) defaultdict)chain)S)Mod) precedence) CodePrinterandasassertbreakclasscontinuedefdelelifelseexceptfinallyforfromglobalifimportinislambdanotorpassraisereturntrywhilewithyieldNoneFalsenonlocalTrueAbsabsMinminMaxmaxacosacoshasinasinhatanatan2atanhceilingceilcoscosherferfcexpexpm1 factorialfloorgammahypotisinfisnanloggammalgammaloglnlog10log1plog2sinsinhSqrtsqrttantanhExp1ePipiEInfinityinfNaNnanComplexInfinitycaSPVPP,pRPSP V4RP V3RlVP 44R7#)z{name}({args}), c3F<"TFpSPV4xK R#5iN_print.0argselfs& u/Users/tonyclaw/.openclaw/workspace/skills/math-calculator/venv/lib/python3.14/site-packages/sympy/printing/pycode.py $_print_known_func..Gs2Yy4;;s3C3Cy!)nameargs)known_functions __class____name__format_module_formatjoinrjrdexprknownsf& re_print_known_funcrtDsZ  !8!8 9E  " "(;(;E(B(, 2Ytyy2Y(Z # \\crVPVPP,pVPV4#r^)known_constantsrlrmrorqs&& re_print_known_constrxJs-  !8!8 9E   u %%ruc vaa]tRt^OtoRtRt]tRtRt ] !] !] P4]P4UUu.uFwrVRV,3NK upp44t]P4UUu/uFwrVRV,bK upptRRRRRR/t] !]P(/^R R R R R 7tR/V3R lltRtR0RltRtRtRtRtRtRtRtRtRt Rt!Rt"V3Rlt#Rt$Rt%Rt&Rt'R t(R!;t);t*;t+;t,;t-;t.;t/t0R"t1R#t2R$t3R%t4R&t5R't6R(t7R)t8R*t9R+t:R,t;R1R-ltV;t?#uuppiuuppi)2AbstractPythonCodePrinter _pythoncodePythonNz zmath.rrrTFpython3)user_functions precisioninlinefully_qualified_modulescontractstandardc<\SV`V4VPR,pVf*^RIpRP VP P 4pVR8wd \R4hW n\\4Vn \VP3/T;'g/PR/4BVn\VP 3/T;'g/PR/4BVnR#)rNzpython{}r}zOnly Python 3 is supported.r~user_constants)super__init__ _settingssysrn version_infomajor ValueErrorrrsetmodule_importsdict_kfgetrk_kcrw)rdsettingsstdrrls&& rer"AbstractPythonCodePrinter.__init__es "nnZ( ; ##C$4$4$:$:;C ) :; ; )#. $DHH #R0D0D b1" ##DHH #R0D0D b1" #rucV: RV: 2#z = )rdrivalues&&&re_declare_number_const/AbstractPythonCodePrinter._declare_number_constys  %((rucVPR4pV'dL\V4^8d<VPRPVRR4,P VR,4VP R,'dV#VPR4^,PR4^,PR4R,#).Nr([)splitlenrrpaddr)rdfqnregisterpartss&&& rero(AbstractPythonCodePrinter._module_format|s # E Q   s 4 5 9 9%) D >>3 4 4J99S>!$**3/288=bA ArucV#r^r)rdliness&&re _format_code&AbstractPythonCodePrinter._format_codes ruc$RPV4#)z{}rn)rd codestrings&&re_get_statement(AbstractPythonCodePrinter._get_statements{{:&&ruc$RPV4#)z # {}r)rdtexts&&re _get_comment&AbstractPythonCodePrinter._get_commentst$$ruc \V4^8XdVPV^,4#VPV4: RVPWRR4: RVPVR,4: R2#)z This method expands a fold on binary operations. ``functools.reduce`` is an example of a folded operation. For example, the expression `A + B + C + D` is folded into `((A + B) + C) + D` rNr\)r)rr`ro_expand_fold_binary_op)rdoprjs&&&rer0AbstractPythonCodePrinter._expand_fold_binary_ops` t9>;;tAw' '##B'++BSb : DH% ruc  \V4^8XdVPV^,4#\V4pV^,pVPV4: RVPVRV4: RVPW$R4: R2#)z This method expands a reduction on binary operations. Notice: this is NOT the same as ``functools.reduce``. For example, the expression `A + B + C + D` is reduced into: `(A + B) + (C + D)` rNr\r)rr`ro_expand_reduce_binary_op)rdrrjNNhalfs&&& rer2AbstractPythonCodePrinter._expand_reduce_binary_opsr t9>;;tAw' 'D AFE##B'--d6El;--d6l; rucR#)z float('nan')rrdrrs&&re _print_NaN$AbstractPythonCodePrinter._print_NaNrucR#)z float('inf')rrs&&re_print_Infinity)AbstractPythonCodePrinter._print_InfinityrrucR#)z float('-inf')rrs&&re_print_NegativeInfinity1AbstractPythonCodePrinter._print_NegativeInfinitysruc$VPV4#r^)rrs&&re_print_ComplexInfinity0AbstractPythonCodePrinter._print_ComplexInfinityst$$rucfaa\V4oRP!VV3RlVP4!#)z{} % {}c3H<"TFpSPVS4xK R#5ir^) parenthesize)rbxPRECrds& rerf7AbstractPythonCodePrinter._print_Mod..s!"Qy!4#4#4Q#=#=ys")rrnrjrdrrrsf&@re _print_Mod$AbstractPythonCodePrinter._print_Mods($  "Qtyy"QRSrucB.p^pVPFpVPpVPpV^8XdVPR4VPR4VPVP V44VPR4VPR4VPVP V44VPR4V^, pK VRR pVR ,R8XdVRR pVPR4MVPR4RP V4#) rrz if z else Nr(z else None)r)rjrrcondappendr`rp)rdrrresultircrRcs&& re_print_Piecewise*AbstractPythonCodePrinter._print_Piecewises 99CAAAv c" MM#  MM$++a. ) MM#  MM& ! MM$++a. ) MM( # FA ": CR[F MM#  MM- (wwvruc  <RRRRRRRRR R R R /pVPV9dTVPVP4pVPVP4pR P VPW4R7#\ SV`V4#)z.Relational printer for Equality and Unequalityz==equalz!= not_equal<lessz<= less_equal>greaterz>= greater_equalz({lhs} {op} {rhs}))rlhsrhs)rel_opr`rrrnr_print_Relational)rdrrrrrrls&& rer+AbstractPythonCodePrinter._print_Relationals ' + & , ) /   ;;" ++dhh'C++dhh'C'..$++3.P Pw(..rucN^RIHpVPVPV44#)r) Piecewise)$sympy.functions.elementary.piecewiserr`rewrite)rdrrrs&& re _print_ITE$AbstractPythonCodePrinter._print_ITEsB{{4<< 233rucaV3RlVPRRR1,4pRPSPVP4RP V4R7#)c3<"TFIwrpRPSPV4SPV4SPV4R7xKK R#5i)zfor {i} in range({a}, {b}+1))rabN)rnr`)rbrrrrds& rerf7AbstractPythonCodePrinter._print_Sum..sV. -a + 1 1++a.++a.++a. 2 " "-sAANz"(builtins.sum({function} {loops})) )functionloopsr)limitsrnr`rrp)rdrrrsf& re _print_Sum$AbstractPythonCodePrinter._print_SumsV.  ;;tt, . 4::[[/((5/;# #rucR#)1jrrs&&re_print_ImaginaryUnit.AbstractPythonCodePrinter._print_ImaginaryUnitsrucVPwr#RPVPV4VPV4R7#)z(1 if {a} == {b} else 0))rr)rjrnr`)rdrrrrs&& re_print_KroneckerDelta/AbstractPythonCodePrinter._print_KroneckerDeltas;yy)00 A A1  rucVPPpVPPW"4pV: RVP VP 44: R2#)rr)rlrmrkrr`tolist)rdrrrifuncs&& re_print_MatrixBase+AbstractPythonCodePrinter._print_MatrixBasesA~~&&##''3T[[]!;<"AbstractPythonCodePrinter.s411$7rucRPVPR4Uu.uFq PV,NK up4#uupi) )rprtab)rdrlines&& re_indent_codestring,AbstractPythonCodePrinter._indent_codestrings8yyj6F6Ft6LM6Ld((T//6LMNNMsAc TaRPV3RlVP44pRPSPVP4RPVP Uu.uFpSPVP 4NK up4SPV4R7#uupi)rc3F<"TFpSPV4xK R#5ir^r_ras& rerfFAbstractPythonCodePrinter._print_FunctionDefinition..#s>gs$++c**grhz def {name}({parameters}): {body}r\)ri parametersbody)rprrnr`rirsymbolr)rdfdrvarsf& re_print_FunctionDefinition3AbstractPythonCodePrinter._print_FunctionDefinition"syy>bgg>?299RWW%yyR]]!S]c$++cjj"9]!ST((.:  !Ss%$B%caRPV3RlVP44pRPSPVP4SP V4R7#)rc3F<"TFpSPV4xK R#5ir^r_ras& rerf9AbstractPythonCodePrinter._print_While..+s?hs$++c**hrhzwhile {cond}: {body})rr)rprrnr` conditionr)rdwhlrsf& re _print_While&AbstractPythonCodePrinter._print_While*sQyy?chh?@&--S]]+((..  rucVPVPP4: RVPVPP4: 2#r)r`variablerr)rddecls&&re_print_Declaration,AbstractPythonCodePrinter._print_Declaration1s8 KK ,, - KK ++ ,  rucR#)r r)rdbts&&re_print_BreakToken+AbstractPythonCodePrinter._print_BreakToken7srucNVPwpRVPV4,#)z return %srjr`)rdretrcs&& re _print_Return'AbstractPythonCodePrinter._print_Return:s!xxT[[---rucNVPwpRVPV4,#)zraise %sr0)rdrsrcs&& re _print_Raise&AbstractPythonCodePrinter._print_Raise>s!wwDKK,,,rucNVPwpRVPV4,#)zRuntimeError(%s)r0)rdremessages&& re_print_RuntimeError_.AbstractPythonCodePrinter._print_RuntimeError_Bs!77!DKK$888rucXaRPV3RlVP44p^RIHpVPV8wd,RP SP VP4V4pVPR8wd*VRSP VP4,, pRV,#)r\c3F<"TFpSPV4xK R#5ir^r_ras& rerf9AbstractPythonCodePrinter._print_Print..GsLOS C 0 0Orh)nonez{} % ({}), end=""Nz , file=%sz print(%s))rp print_argssympy.codegen.astr@ format_stringrnr`file)rdprntrAr@sf& re _print_Print&AbstractPythonCodePrinter._print_PrintFsYYLDOOLM *    %,33 D../J 99  + DII(>> >JZ''ruc\VP4R8XdVPR4#\VP4R8XdVPR4#VPVP4#)stdoutz sys.stdoutstderrz sys.stderr)strriror`)rdstrms&&re _print_Stream'AbstractPythonCodePrinter._print_StreamRsW tyy>X %&&|4 4 ^x '&&|4 4;;tyy) )rucR#)r%r)rdrcs&&re_print_NoneToken*AbstractPythonCodePrinter._print_NoneTokenZsruc ^\V4pVP\P8XdGV'g?VP V4pVP VP 4pRPWVR7#VP'dV'gVP)\PJdWVP V4pVP \P4pVP VP 4pV RV RV R2#VP\PJdEVP \P4pVPVP VRR7pV RV 2#VPVP VRR7pVPVPVRR7p RPW4#) aPrinting helper function for ``Pow`` Notes ===== This preprocesses the ``sqrt`` as math formatter and prints division Examples ======== >>> from sympy import sqrt >>> from sympy.printing.pycode import PythonCodePrinter >>> from sympy.abc import x Python code printer automatically looks up ``math.sqrt``. >>> printer = PythonCodePrinter() >>> printer._hprint_Pow(sqrt(x), rational=True) 'x**(1/2)' >>> printer._hprint_Pow(sqrt(x), rational=False) 'math.sqrt(x)' >>> printer._hprint_Pow(1/sqrt(x), rational=True) 'x**(-1/2)' >>> printer._hprint_Pow(1/sqrt(x), rational=False) '1/math.sqrt(x)' >>> printer._hprint_Pow(1/x, rational=False) '1/x' >>> printer._hprint_Pow(1/x, rational=True) 'x**(-1)' Using sqrt from numpy or mpmath >>> printer._hprint_Pow(sqrt(x), sqrt='numpy.sqrt') 'numpy.sqrt(x)' >>> printer._hprint_Pow(sqrt(x), sqrt='mpmath.sqrt') 'mpmath.sqrt(x)' See Also ======== sympy.printing.str.StrPrinter._print_Pow z {func}({arg}))r rc/rrFstrictz{}**{}) rr<rHalfror`basernis_commutativeOne NegativeOner) rdrrrationalrNrr rcnumbase_strexp_strs &&&& re _hprint_Pow%AbstractPythonCodePrinter._hprint_Pow]sXV$ 88qvv h&&t,D++dii(C"))t)= =    xyAFF"**40kk!%%(kk$)),avQse1--xx1==(kk!%%('' 4'Fau~%$$TYYU$C##DHHd5#Ax11ru)rwrkrrr^)T)Fz math.sqrt)@rm __module__ __qualname____firstlineno__ printmethodlanguage_kwreserved_wordsmodulesrrr_known_functionsitems_known_functions_mathr_known_constants_mathr _operatorsr_default_settingsrrrorrrrrrrrrrrrrrrrr _print_SparseRepMatrix_print_MutableSparseMatrix_print_ImmutableSparseMatrix _print_Matrix_print_DenseMatrix_print_MutableDenseMatrix_print_ImmutableMatrix_print_ImmutableDenseMatrixrrr$r)r-r2r6r;rFrMrPr___static_attributes____classdictcell__ __classcell__kvrl __classdict__s00@@rerzrzOsKHNG C u &;&A&A&CD&Cda!Wq[ &CD C%:$?$?$A B$ADA1gai<$A BCdE59J%% $#()B'%.2%T./ 4 # = 888"8$8 8  8 " 8 #O   .-9 (*@2@2M E Bs D/0D5rzcha]tRtRtoRtRtRtRtRtRt Rt R t R t R t R tR tRtVtR#) ArrayPrintericF^RIHpV!V4# \dTu#i;i)r)convert_indexed_to_array)4sympy.tensor.array.expressions.from_indexed_to_arrayr Exception)rdindexedrs&& re _arrayifyArrayPrinter._arrayifys)a +G4 4 N s   c RVP4pRp^pVUUu/uFqfFqw\V4bK K ppp.p VF`p .p \V 4F;pWX9dV PW,4MV PV4V^, pK= V PV 4Kb /p .p .pV FmpVF[pW|9d\ V4pWV&MW,pWO, pWx9dW9dVPV4KHKJV PV4K] VR, pKo VRRpWMV3#uuppi)r,Nr) _get_letter_generator_for_einsumr,rangernext)rdsubrankscontraction_indicesletterscontraction_stringcounterrjdindicesrank_arglindicesmapping letters_free letters_dumls&&& re_get_einsum_stringArrayPrinter._get_einsum_strings=779 3 ? 31QAYQQ 3 ? HH8_<OOAJ/OOG,1  % NN8 $!  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HHSTYY/ 0  rucVPVPR,VP,4: RRP\ VP VP 44: R2#r)ror_zerosrprr`rjrs&&re_print_ZeroArrayArrayPrinter._print_ZeroArraysG    c 1DKK ? @ HHSTYY/ 0  rucVPVPVP44pVPVPVP44pV: RV: 2#r)r`rrr)rdrrrrs&& re_print_AssignmentArrayPrinter._print_AssignmentsEkk$..23kk$..23 #''ruc$VPV4#r^)_print_ArraySymbolrs&&re_print_IndexedBaseArrayPrinter._print_IndexedBase$s&&t,,rurN)rmrarbrcrrrrrrrrrrrrrwrxr}s@rerrsH!=F+  4 " V  (--rurcaa]tRtRtoRtRtRtRtR RltRt Rt R t V3R lt ] Pt] Pt] Pt] PtR tVtV;t#) PythonCodePrinteri(cRPVPR4VPVP^,4R7#)z"(0.0 if {e} == 0 else {f}(1, {e}))z math.copysign)frRrnror`rjrdrRs&&re _print_signPythonCodePrinter._print_sign*s=3::!!/2dkk!&&)6L;N Nruc\V4pVPR,R,VPVP^,V4,#)rr)rrmrrjrs&& re _print_NotPythonCodePrinter._print_Not.s:$u%+d.?.? ! d.SSSrucVP#r^)rirs&&rer$PythonCodePrinter._print_IndexedBase2s yyruc VP^,pVPR,pRP\V4RPVUu.uFq@P V4NK up44#uupi)r:NNz{}[{}]r\)rjrnrKrpr`)rdrrrWindexinds&& re_print_Indexed PythonCodePrinter._print_Indexed5sVyy| " s4y$))QV4WQV#[[5EQV4W*XYY4Ws A/c&VPWR7#))r[r_rdrrr[s&&&re _print_PowPythonCodePrinter._print_Pow:s88rucNRPVPVP4#)z{}/{})rnpqrs&&re_print_Rational!PythonCodePrinter._print_Rational=s~~dffdff--ruc$VPV4#r^rrs&&re _print_HalfPythonCodePrinter._print_Half@s##D))rucZVP\VP^,^44#)r)rrrjrs&&re _print_fracPythonCodePrinter._print_fracCs s499Q<344ruc4<\SV`V4pW P9dOVPR,'dRp\ VP V44hW PR,,#RV9d#VP RR4P RR4#V#)error_on_reservedzVThis expression includes the symbol "{}" which is a reserved keyword in this language.reserved_word_suffix{r})r _print_Symbolrgrrrnreplace)rdrrrimsgrls&& rerPythonCodePrinter._print_SymbolFsw$T* && &~~122< D!122..)?@@ @ D[<<R(00b9 9KrurF)rmrarbrcrrrrrrrrrr_print_not_supported_print_lowergamma_print_uppergamma_print_fresnelc_print_fresnelsrwrxry)rlr}s@@rerr(sgNTZ 9.*5 $88#88!66O!66OOrurz _print_%sc 6\V4PV4#)aConverts an expr to a string of Python code Parameters ========== expr : Expr A SymPy expression. fully_qualified_modules : bool Whether or not to write out full module names of functions (``math.sin`` vs. ``sin``). default: ``True``. standard : str or None, optional Only 'python3' (default) is supported. This parameter may be removed in the future. Examples ======== >>> from sympy import pycode, tan, Symbol >>> pycode(tan(Symbol('x')) + 1) 'math.tan(x) + 1' )rdoprint)rrrs&,repycoder bs. 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