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_decimal.cpython-35m-x86_64-linux-gnu.so
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H ^ R / v b j R " M i M < | " Xt u " x x" __gmon_start__ _init _fini _ITM_deregisterTMCloneTable _ITM_registerTMCloneTable __cxa_finalize _Jv_RegisterClasses libmpdec.so.2 libpthread.so.0 libc.so.6 _Py_NoneStruct PyTuple_Type PyObject_Free PyExc_KeyError PyErr_SetString _Py_FalseStruct _Py_TrueStruct PyObject_CallObject _PyObject_New PyType_IsSubtype PyThreadState_GetDict PyDict_SetItem PyExc_TypeError PyExc_RuntimeError PyList_New PyList_Append mpd_round_string Py_BuildValue PyUnicode_FromFormat __stack_chk_fail mpd_lsnprint_signals PyLong_AsSsize_t mpd_qsetclamp PyErr_Occurred PyExc_ValueError mpd_qsetemax mpd_qsetemin PyUnicode_Compare mpd_qsetround mpd_qsetprec PyUnicode_CompareWithASCIIString PyObject_GenericGetAttr mpd_etop PyLong_FromSsize_t mpd_etiny PyLong_FromLong mpd_getround mpd_getclamp mpd_getemin mpd_getemax mpd_getprec PyDict_New PyObject_IsTrue PyDict_Size PyDict_GetItemWithError PyArg_ParseTupleAndKeywords PyList_Size PyList_GetItem mpd_qsettraps mpd_qsetstatus PyObject_GenericSetAttr PyExc_AttributeError _Py_NotImplementedStruct PyErr_Clear PyThreadState_Get PyErr_NoMemory PyErr_SetObject mpd_del mpd_maxcontext mpd_qset_string mpd_seterror PyTuple_Size PyLong_AsLong PyList_AsTuple PyMem_Malloc snprintf __strcat_chk __snprintf_chk PyMem_Free mpd_qimport_u32 mpd_set_flags mpd_setdigits mpd_qfinalize PyFloat_Type PyFloat_AsDouble mpd_setspecial PyObject_CallMethod mpd_qnew mpd_qset_uint mpd_qset_ssize mpd_qpow mpd_qmul mpd_set_sign mpd_qcopy PyErr_Format _Py_ascii_whitespace _PyUnicode_IsWhitespace _PyUnicode_ToDecimalDigit _PyUnicode_Ready mpd_qcopy_sign mpd_compare_total_mag mpd_compare_total mpd_to_eng_size PyUnicode_New memcpy mpd_free mpd_class PyUnicode_FromString mpd_qlogb mpd_qinvert mpd_qcopy_negate mpd_qcopy_abs mpd_isspecial mpd_adjexp mpd_issubnormal mpd_isnormal mpd_iszero mpd_issigned mpd_issnan mpd_isqnan mpd_isnan mpd_isinfinite mpd_isfinite mpd_iscanonical PyArg_ParseTuple mpd_qdivint mpd_qdiv mpd_qcompare_signal mpd_qcompare mpd_qadd mpd_qsqrt mpd_qround_to_intx mpd_qround_to_int mpd_qsub mpd_qabs mpd_qplus mpd_qminus mpd_qncopy mpd_sign PyLong_FromUnsignedLong PyObject_CallFunctionObjArgs mpd_clear_flags mpd_to_sci strlen PyTuple_New mpd_isnegative PyFloat_FromString mpd_to_sci_size PyExc_OverflowError mpd_qexport_u32 _PyLong_New mpd_qquantize mpd_qnext_toward mpd_qmin_mag mpd_qmin mpd_qmax_mag mpd_qmax mpd_qscaleb mpd_qrotate mpd_qxor mpd_qor mpd_qand mpd_qfma mpd_qrem_near mpd_same_quantum mpd_qpowmod mpd_qdivmod mpd_qrem mpd_qsset_ssize mpd_set_positive mpd_qget_ssize mpd_ispositive mpd_arith_sign PyComplex_FromDoubles mpd_qcmp PyComplex_Type PyObject_IsInstance PyObject_GetAttrString PyComplex_AsCComplex PyBool_FromLong PyFloat_FromDouble mpd_qshift mpd_qreduce mpd_qnext_plus mpd_qnext_minus mpd_qlog10 mpd_qln mpd_qexp mpd_isdynamic_data PyInit__decimal PyMem_Realloc mpd_reallocfunc mpd_traphandler mpd_callocfunc mpd_mallocfunc mpd_callocfunc_em mpd_setminalloc PyBaseObject_Type PyType_Ready PyDict_SetItemString PyImport_ImportModule PyType_Type PyObject_CallFunction PyModule_Create2 PyModule_AddObject PyExc_ArithmeticError PyErr_NewException PyTuple_Pack PyExc_ZeroDivisionError PyModule_AddIntConstant PyUnicode_InternFromString PyModule_AddStringConstant mpd_version PyObject_HashNotImplemented PyType_GenericNew mbstowcs PyUnicode_FromWideChar PyUnicode_AsUTF8String PyUnicode_AsUTF8AndSize mpd_parse_fmt_str PyDict_GetItemString mpd_validate_lconv mpd_qformat_spec PyUnicode_DecodeUTF8 _edata __bss_start _end GLIBC_2.14 GLIBC_2.4 GLIBC_2.2.5 GLIBC_2.3.4 ii ui ti <" =" =" E" E" F" F" F" F" F" (F" 0F" f 8F" r `F" hF" pF" w xF" F" F" F" F" F" F" F" ` F" F" F" F" F" F" F" 8 G" 8 G" 8 0G" 8 @G" 8 PG" 8 `G" 8 pG" xG" 8 G" G" 8 G" G" 8 G" G" 8 G" G" 8 H" (H" 8 @H" HH" 8 `H" hH" 8 H" H" 8 H" H" 8 H" H" H" 8 H" H" 8 I" I" 8 I" (I" 8 @I" HI" 8 `I" hI" 8 I" I" 8 I" I" X I" I" I" 8 I" I" I" 8 j" j" ` j" K" j" (j" @ 8j" @K" @j" Hj" @ Xj" J" j" j" j" j" p j" j" j" k" $ k" @k" Hk" Pk" hk" pk" xk" k" k" k" 0 k" k" p k" k" k" ` k" ` l" l" l" Ќ `l" hl" xl" g" l" l" l" @g" l" - l" l" f" l" 0 l" @ l" f" l" ; l" l" f" m" 6 m" m" e" m" A (m" ` 8m" `e" @m" K Hm" Xm" e" `m" F hm" xm" d" m" U m" m" d" m" a m" m" c" m" s m" m" `c" m" m" p m" c" n" n" @ n" b" n" (n" 8n" b" @n" Hn" @ Xn" b" `n" hn" p xn" a" n" n" @ n" a" n" n" d n" a" n" n" n" `" n" n" n" ``" o" o" @ o" `" o" (o" p 8o" _" @o" Ho" Xo" `_" `o" ho" p xo" _" o" o" 0n o" ^" o" o" l o" ^" o" o" 0i o" @]" o" o" g o" \" p" p" 0b p" `Z" p" (p" @ 8p" Z" @p" Hp" @ Xp" `Y" `p" hp" xp" X" p" # p" p" `X" p" ) p" @ p" X" p" 6 p" p p" W" p" @ p" P p" @W" q" L q" 0 q" V" q" S (q" 8q" V" @q" ] Hq" Xq" V" `q" e hq" xq" U" q" o q" и q" `U" q" w q" q" U" q" q" q" T" q" q" r" , r" O r" `T" r" (r" @N 8r" T" @r" Hr" B Xr" S" `r" hr" L xr" `S" r" r" K r" S" r" r" pI r" R" r" r" H r" `R" r" r" F r" R" s" s" E s" Q" s" (s" B 8s" @Q" @s" Hs" p? 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AUATH USHHHHě H(L% dH%( HD$1LL$LD$Ld$4 Hl$L9~ H}H53 ! H9 H{L-a! Hl$L9x L uXHS H HRH5= 1H9 1HHL$dH3 %( O H([]A\A] Ld$HHl$I|$L9tXH5!a! uHIt$ H= HVH5 1H?* H+ 1sf I$It$H{ 5 H> H IHHJHH d I4$LH~HI<$MD$LAP0f. +=HHHD$f. H{L-5`! L9HLd$I|$L9EH5`! 1MD$A L IPH5 1I9 H+]LSH1AR0Mf D H=_! HHMHHHl$e L IM f. H=Y_! LHNMHIwk f. HkHU0H1 H5ʔ 1H8>f. @ USH g HHHHPH K Hl dH%( HD$@1HD$(HD$ D$ H\$(P1LL$8LD$@ZYt;Ht$0H|$Hw t%Ht$(H|$Ha u-H|$H/ 1HL$8dH3 %( HH[]ÐHt$ H9tH|$H 謍 HH HL$HB HT$Ht$HxLL$LEHHRHvH|$H/ H|$H/ H|$H/} t$H?t]H+5L[HAS0% H|$H/teH|$H/uHWR0HD$f HwV0 @ H LWAR0v LOAQ0W H_S0 HOQ0) @ H|$H/tWH|$H/tCH|$Hdi H|$LD$HMHWIpHxLD$HGP0HoU0ATUSHHH5 H@dH%( HD$81HL$(HT$0D$ dthHt$0H|$ H tRHt$(H|$H udH|$ H/t)12 D H|$ H/uHoU0H|$H/u LGAP01HHL$8dH3 %( H@[]A\f D ; HHt. HI HD$HT$ H}It$LL$LCHHHRH|$ H/ H|$H/ t$H<t{I,$t$Hm QHuH1V0B ID$LP0 H|$ H/ H|$H/uHOQ0 f. HOQ0j @ H=o 1LH|I<$LGMM$tGLU HMZML] LeHAT$0fHwV0 @ HWR0cML$HD$LAQ0HD$g ATUISHH5 H0dH%( HD$(1HL$HT$ D$ tNH\$ H-Y! H{H9t[HuOHC H HPH5d 1H91HHL$(dH3 %( x H0[]A\HHt$H|$LZ uH+ 1 ۈ HH HT$IL$HsHxLD$ HRH+ H|$H/ t$ LZ:HOLM MQMLU 8L]AS0+ f. HLHFHHHt$H|$L脈 <H+HKHQ01H+t*H|$H/HGP01 f. LcHAT$0fLGAP0 HsHV0<ff. AUATIUSHH5e H(dH%( HD$1HL$HT$D$ tNHl$H W! H}H9tiHu]HE < H HPH52 1H91HHL$dH3 %( H([]A\A]ff. Ld$HE I|$H9t\H5W! uLIt$ J L HVH5 1I8 Hm 1qff. I$V HH IMIT$HuH{LD$ Hm $ I,$9 t$L7HHHHHH HkU0 HLH2DHHLd$I|$H9SHCIT$ uEH= HRH5 1H?Hm nLMHAQ01^ff. H=U! LLCHIHm t9I,$ IT$LR01ff. LUHAR0LmHAU0 M\$LAS0j f. ATUISHH5 H0dH%( HD$(1HL$HT$ D$ tNH\$ H-T! H{H9t[HuOHC H HPH5d 1H91HHL$(dH3 %( x H0[]A\HHt$H|$LZ uH+ 1 ۃ HH HT$IL$HsHxLD$ HR H+ H|$H/ t$ LZ5HOLM MQMLU 8L]AS0+ f. HLHAHHHt$H|$L脃 <H+HKHQ01H+t*H|$H/HGP01 f. LcHAT$0fLGAP0 HsHV0< ff. AUATIUSHH5e H(dH%( HD$1HL$HT$D$ tNHl$H R! H}H9tiHu]HE < H HPH52 1H91HHL$dH3 %( H([]A\A]ff. Ld$HE I|$H9t\H5R! uLIt$ J L HVH5 1I8 Hm 1qff. I$V HH IMIT$HuH{LD$ Hm $ I,$9 t$L2HHHHHH HkU0 HLH2?HHLd$I|$H9SH CIT$ uEH= HRH5 1H?Hm nLMHAQ01^ff. H=P! LL>HIHm t9I,$ IT$LR01ff. LUHAR0LmHAU0 M\$LAS0jf. HH AWAVAUATUSH LdH%( H$ 1It2H$ dH3 %( L H []A\A]A^A_f D H$ H$ H$ H H IH$ D$ HD$( HD$0 HD$8 HD$@ HT$HH$ D$PHD$X HD$` HD$h HD$p H\$xHDŽ$ Ƅ$ HDŽ$ HDŽ$ HDŽ$ HDŽ$ H$ D$ +Ht3I^H+ t7H 1 HE1 M~f. L$ L HI HH} Iv H|$ HxpHH<$LHLD$ L $H$ HLLLD$MH$HHhuuL H M~f D IHHH<$LHXLT$ Ht$PMMHLLLT$uLHH HHE L<$I d IXLI LLHHL$ L$ ML$ HT$LMHHLHHIoLHHڅLHDT$ IHLEttwIeL} H Hl HHcLi/ f L-w H50 I} H K H5< IH;sc SH(HtHߺ H[q1[ff. SH(HtHߺ H[A1[ff. ATUSH_H HdH%( HD$1 H4 Hl t H=' HH, H H+Hu HsHV0H H0Hm f.z uL$ HD$ f"HL$dH3 %( J H []A\ D 'H PPH|$HHH HLd$HHt#@ @ H{0HL H 2 H|$f D H=Y H5" H? f. 17f LED$HAP0D$ @ H= DHff. H{HHLqH H|$b @ f. H{Hf. K1 D f. AWAVIAUATAUSHHxdH%( HD$h1D$( &H IL%8I! HL9tL H II9 ML{IHMt$LL $MLCHT$(LLD$ H$AH*u HBHP0I,$u IL$LQ0At Ae H5 Nc L DT$A u EeAvt$(H) A H H HL$hdH3 %( Hx[]A\A]A^A_ f. I H5 H9 IH5 H9 H5I! LRj H5 LHII H=G! HHw5I.Iu IVLR0M LsL H@ I9IM*ff. E]Av Hy( M, H=F! HL7IM H I9IL{AELf. z; f. C z L% I$L$M0Lt$IMM0u IhLU0I,$uMl$LAU0 1E@DIcLHL4I%f. H H 1A@EAE1E@|1A@}hIcHH?iT @ H H @H5 LD$, iHIH=VE! HHK3I/H$< H<$ LHIt H LD$0HD$LLD$ L\$L$LD$,I~HL$LIF M{IRH|$L2H$H|$HD$H2HG Ht$HHH2 H<$L\Dt$,L $EuIHw I9.L9g^L$$PH$L$1L=> H5O~ I?L$I*MZLAS0IOLQ0HIM, H=C! HH4I/IMWLAR0LBH|$HAP0H|$H$H HL$HHH u LJHAQ0L1ff. AUATH USIHHH} HĀH dH%( HD$p1HD$(D$ H\$0H\$(P1LL$8LD$(/ZY HT$ H9 HzH5, H9 HT$ Hj(HJHrHz LB0LJ8Hl$HHl$(HL$0Ht$8H|$@LD$PH9LL$X HU H;-D! H;-D! H;- D! H9-D! H9-D! H9-C! H;-C! H;-C! L-C! 1ېf. It H3t/HHuL%ֿ H5u I<$>1af. H|$0DG HT$ H|$Lzq t+HT$ Ht$H|$bq H|$H/ 1HL$hdH3 %( R Hx[]A\A]f. HHHD$ t @ f. Hl$(LZLjHB HJ(Hr0Hz8H9L\$0Ll$8HD$@HL$HHt$PH|$X5H] H;-dB! > H;-_B! 8 H;-ZB! 5 H;-UB! O H;-PB! L H;-KB! O o HH LD$LL$HxHL$0IPIqLD$zH|$H/ H|$H/| t$H|$ ^!AHEHM HqHHu H]HS0pf. LoAU01XH|$H/t H|$6HGP0fLWAR0w HWR0Y @ 1 H=F H5y H?1 vL% H5t I:1 O E @ f. ATUH f SHHHHVx H0L%" dH%( HD$(1LL$LD$ D$ Ld$t~Hl$L9 H}H5 H9 C; H{H5@>! Hl$H9 uYHS x H ) HRH5u 1H9<1HHL$(dH3 %( H0[]A\f. HHT$H|$Ht$ m H+tb1f D kHHHD$t @ f. H{H5u=! H9:HHt$ H|$HVm u"H+LHKHQ01= l HI Ht$H|$LD$ HNHWHsHxH+ H|$H/ H|$t$ D LM $MQMM$M\$AS0f D H=<! HH*HHHl$| H+t*H|$H/_HWR01S f. HCHP0 @ H_S0B @ LCHAP0 H! H5q H81.f. @ AVAUIATUISHH dH%( HD$1HD$ D$ uH H{H-;! IH9tIHqu=HC He H HL$dH3 %( 9 H []A\A]A^HH|$LLk u8H+tHD$뺐f. HSHR0H|$Hff. L;5a tgH|$LLk uSH+ H|$H/ H|$ HLH(HHZf D 1ff. j HI HL$H HT$HxHsLL$MD$HHR-H|$H/ H+thH|$H/tMt$LLMU MZMM] aMuAV01fH_S0 @ LOAQ0f D LCHAP0 LkHAU0HOQ0f @ H+thH|$H/tTH|$HH/HGP01Xf Ht$IL$HxLD$HVHspHoU0LcHAT$0O D f. AUATIUSHH8dH%( HD$(1D$ H H{L%8! HL9tGLu;HC u^H H HL$(dH3 %( T H8[]A\A] @ HH|$ HL i uxH+tBHD$ 븐f. HHL2&HHt:H|$ HLh u6H+u LkHAU0Hl$ @ f. 1HSf D {g HI jg HI HT$ HpI|$LL$ LEHJHSH+ H|$ H/ t$ Ht1Im I,$kID$L1P0[f H=p 1LL Im I<$HHHI<$ML$LAQ0 HwV0c @ HKHQ0AH+tjH|$ H/H_1S0 f. H+tHH|$ H/%HoU0 D f. MULAR0LcHAT$0L[HAS0MEHD$LAP0HD$ ff D HHHf D SHHtHߺ H[Q|1[ff. AUATIUSHH(dH%( HD$1D$ sH H{H-5! IH9tGHou;HC u^Hg H HL$dH3 %( e H([]A\A] @ HH|$LLe uxH+tBHD$븐f. HLH#HHt:H|$LLe u6H+u HkHU0H|$ D f. 1HSf D Kd HItcHT$IL$HsHxLD$ HRH+tmH|$H/trt$ LLtME MHMMM uMUAR01fH+tCH|$H/kLgAT$01]f. HKHQ0 @ HwV0L[HAS0% D AUATIUSHH(dH%( HD$1D$ H H{H-3! IH9tGHu;HC u^Hw H HL$dH3 %( e H([]A\A] @ HH|$LLc uxH+tBHD$븐f. HLH!HHt:H|$LLc u6H+u HkHU0H|$ D f. 1HSf D [b HItcHT$IL$HsHxLD$ HRsH+tmH|$H/trt$ LLtME MHMMM uMUAR01fH+tCH|$H/kLgAT$01]f. HKHQ0 @ HwV0L[HAS05 D AUATIUSHH(dH%( HD$1D$ H H{H-1! IH9tGHu;HC u^H H HL$dH3 %( e H([]A\A] @ HH|$LLa uxH+tBHD$븐f. HLH" HHt:H|$LLa u6H+u HkHU0H|$ D f. 1HSf D k` HItcHT$IL$HsHxLD$ HRH+tmH|$H/trt$ LLtME MHMMM uMUAR01fH+tCH|$H/kLgAT$01]f. HKHQ0 @ HwV0L[HAS0E D AUATIUSHH(dH%( HD$1D$ H H{H-/! IH9tGHu;HC u^H H HL$dH3 %( e H([]A\A] @ HH|$LL ` uxH+tBHD$븐f. HLH2 HHt:H|$LL_ u6H+u HkHU0H|$ D f. 1HSf D {^ HItcHT$IL$HsHxLD$ HR#H+tmH|$H/trt$ LLtME MHMMM uMUAR01fH+tCH|$H/kLgAT$01]f. HKHQ0 @ HwV0L[HAS0U D HH ATUISH--! HHH~dH%( HD$1D$ H9tZHuNHC H HPH5ce 1H91HL$dH3 %( H[]A\fH] HHtOHL$IT$HsHxH+ t$Lt.Hm uHuHV01f H+t1HqHf. LCHAP01ِHLHHHte\ HHtHL$IT$HsH}vH+u HSHR0t$L HwHm jHf. ATUISH-R,! HHH~dH%( HD$1D$ H9tZHuNHC H HPH5c 1H911HL$dH3 %( H[]A\fHg[ HHtOHL$IT$HsHxH+ t$L t.Hm uHuHV01f H+t1HqHf. LCHAP01ِHLH2HHtZ HHtHL$IT$HsH}H+u HSHR0t$LZ HwHm jH f. ATUISH-*! HHH~dH%( HD$1D$ H9tZHruNHC H ~ HPH5#b 1H91HL$dH3 %( H[]A\fHY HHtOHL$IT$HsHxH+ t$Lb t.Hm uHuHV01f H+t1HqHf. LCHAP01ِHLHHHt%Y HHtHL$IT$HsH}H+u HSHR0t$L HwHm jHjf. ATUISH-)! HHH~dH%( HD$1D$ H9tZHuNHC H ަ HPH5` 1H91HL$dH3 %( H[]A\fH'X HHtOHL$IT$HsHxH+ t$L t.Hm uHuHV01f H+t1HqHf. LCHAP01ِHLHHHtW HHtHL$IT$HsH}VH+u HSHR0t$L HwHm jHf. ATUISH-r'! HHH~dH%( HD$1D$ H9tZH2uNHC H > HPH5^ 1H9Q1HL$dH3 %( H[]A\fHV HHtOHL$IT$HsHxH+ t$L"t.Hm uHuHV01f H+t1HqHf. LCHAP01ِHLHRHHtU HHtHL$IT$HsH}H+u HSHR0t$LzHwHm jH*f. ATUISH-%! HHH~dH%( HD$1D$ H9tZHuNHC H HPH5C] 1H91HL$dH3 %( H[]A\fHT HHtOHL$IT$HsHx8H+ t$Lt.Hm uHuHV01f H+t1HqHf. LCHAP01ِHLHHHtET HHtHL$IT$HsH}H+u HSHR0t$LHwHm jHf. ATUISH-2$! HHH~dH%( HD$1D$ H9tZHuNHC H HPH5[ 1H91HL$dH3 %( H[]A\fHGS HHtOHL$IT$HsHxH+ t$Lt.Hm uHuHV01f H+t1HqHf. LCHAP01ِHLHHHtR HHtHL$IT$HsH}FH+u HSHR0t$L:HwHm jHf. ATUISH-"! HHH~dH%( HD$1D$ H9tZHRuNHC H ^ HPH5Z 1H9q1HL$dH3 %( H[]A\fHQ HHtOHL$IT$HsHxH+ t$LBt.Hm uHuHV01f H+t1HqHf. LCHAP01ِHLHrHHtQ HHtHL$IT$HsH}fH+u HSHR0t$LHwHm jHJf. ATUISH- ! HHH~dH%( HD$1D$ H9tZHuNHC H HPH5cX 1H91HL$dH3 %( H[]A\fHP HHtOHL$IT$HsHxHH+ t$Lt.Hm uHuHV01f H+t1HqHf. LCHAP01ِHLH HHteO HHtHL$IT$HsH}H+u HSHR0t$L HwHm jHf. USH=W ! HHtiHH@@0H@ H@( HkH@8 H@H1HHCH HC0 HC@HC HHH[]f1ff. SHHtHߺ H[!e1[ff. USHHHHGHh t"HS8H[H| ]n @ f. HH[]RfAUATIUSHdH%( HD$1H3 PPIt$HHH) HL,$8HH @ td@H{HtH{0HLmL H<$AIt$H=kX 1HH;IHLOML ttHS D f. H{HLHH: H<$It$H=X 1H.H IHqHH3t HL$dH3 %( uXH[]A\A]ÐLSHLAR0y f. L ɛ H<$A1Wf. 1@f. D AUATIUSHH55S H(dH%( HD$1HL$HT$tNH\$L%z ! H{L9taLYuUHC H e HPH5 T 1H9xE1LHL$dH3 %( H([]A\A] Hl$HH}L9tNH5! u>Hu - L HVH5S 1I8H+ 1 HE HuH{uJL IMHHHHH H] HSHHU /HuHV0 D L ٙ IMHLL2 HHHl$H}L9dLTHU uGH= HRH5R 1H?H+LKHE1AQ0 @ f. H=! HLHHLkHAU0f. ATUISHH5P H0dH%( HD$(1HL$HT$ D$ dtNH\$ H-$! H{H9t[HuOHC H HPH5Q 1H9"1HHL$(dH3 %( x H0[]A\HHt$H|$LI uH+ 1 +I HH HT$IL$HsHxLD$ HR?H+ H|$H/ t$ LHOLM MQMLU 8L]AS0+ f. HLHHHHt$H|$LH <H+HKHQ01H+t*H|$H/HGP01 f. LcHAT$0fLGAP0 HsHV0ff. AUATH %USHH5H H= Hb Hۖ L< L LΖ H H- H7 HHM I(7L h H=! L ! L L t L ` H= L H= 8 H=1 $ H=U HI H=M! H5Q H& H= H5Q L Im H=Q 9HI H5Q HHH H ! H}Q H5Q H1sH* HHsHH0 H5pQ LHH! Im Hm [ H=DQ HI L8Q H FQ HLQ H5JQ H1HHJ! H=T XHI H=%! H5P HH Im H5P LHHv H= H HP H5P I1HH! @ I,$u MT$LAR0Hm H= \HH H9! H5N HH'! # Hs H5U HHa H ! H5O HHz L% H= P 1I4$IHH! H H5O HH3 HH! z L% A @ H X H H5e 1vHH# I$ 1HHI$ Hm u HuHV0I$ I$ HHj M$ L ! IcAI I AMD A$ H HH5! 1H* f. 1E11H=j! HtHZ! H/8 Mt I,$ Ht Hm ( H=! HtH! H/g H= ! HtH! H/6 H=! HtH! H/ H=! HtH! H/ H=u! HtHe! H/ H=L! HtH<! H/tvHtH+t1H[]A\A] @ f. LCHAP0 Ml$LAU0 D f. LOAQ0 LUHAR0HwV0 HWR0Q @ HoU0 @ HOQ0 @ LgAT$0fL_AS0 E11ME 1IMME IELP0MeLAT$0H=K ]HIH5K HHH H ! HK H5K H1HtRHHQHH H5K LHH! 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MtI/u MOLAQ0HgHm \L}HAW0LE11ېLFHAP0 SPLl$0HE1LH=a H5$ H?\ L|$HLәH L1HHHp Ht$HLD$PLLD$蚙HH|$w A D HI LH 1LL$P D f. uAte @ f. D$H<$t5蠘H4$Ht|H1HHHLFHAP0rfH` H5z# H8:H4$1E1Uf. 1E1L11E11J諘1MA tf D USHHHtRpPH{聗HHt9H=# H1舕HH` HHH[] D f. 蛗1 ATUSHHdH%( HD$1萾H PPHsH蘚HH HL$$˟HH @ t7@H{HtH{0HL H )` H<$H- @ f. H{HHLњH_ H<$HHL$dH3 %( u8H[]A\ 1ff. 蛖1 1y @ AWAVAUATUSHHH5[ H8dH%( HD$(1HT$ HD$ H\$ H H{L%q L9tLTA LcL}tLcu8LEM)L9C(T D$ HH LhL|$ LLL脓t$ HhP H+ 1HL$(dH3 %( j H8[]A\A]A^A_ÐH{H Z ? H5m] H9$ o9 H|H=[ HHD$ 8HI HxHT$ Huڗt$ H I/&_ LSHAR01 @ f. HCf HHtGHx 1莜Hf D HuLLAt$ Ht H+ 1H f. Lf. C t AAA A LkHH[L{L HI HH~OA IAHX~ @ f. Ee At$~ DcHHII9u D$ J HHt/HL$ HUH{Lݔt$ Ht H+# 1LI @ LD$ Lu茙HI@0HSHxHH@H@ H@( H@0 HH@8 Hx@o H& H HHsILD$$MDAPA @訙XZt$ H*RI/1MWL1AR0!f D HHHHH+Iq MbD$ HHt/HxHL$ HULnt$ H肽t H+ 1Lښ D L[0LkH@ME f. HxC rf D HkH1U0* D f. HXH@H H@0 1HbIG H2 f. L{HAW0HkHU0-Aw:H=Y ? t9HC HIL9!Bff. DĐDȕ/ 0HڈC D D$ S HI2HxHL$ HU1t$ H I/ M_LAS0 D HûeHHLD$ %HIHxHT$ HuLĒt$ HxNf. A] HHIIIԍSMA~' HʈYHYIL9M I ItAEe ET$A~ A! HfW 8 AE C IHEe At$~( A- H&W : @@ C IHEe EL$A~ As LV A: HC HIL9 f A H5V > C MeEmHAU~ DkEl$LSE]A~ AM H FV 9 @@ AB El$HSEMA~ A_ LV A: B HMl$L99Ee E\$DA~ C7 @ Af LU A8 AE. C & D EjV Djf. H AU IM)IAJAӃ~ HD[HII9}M I ItEEe ED$DA~~ A LT A: AEM C IHEe E\$DA~P A H T 9 " C IHEe AT$~m HDcHII9 A L ?T A; v C MeEmHAMD~ A8 HS : @@ C El$LSA}D~ A L S A9 AE AB El$HSE]DA~ A H }S 9 ttB HMl$I9Ee ET$A~DcD8 0C;DLT$ LT$0ABVDHT$Y HT$0Bkf. HsHV0HA fD訏 0 D踎 @ f. Dh 0C D DxA f. DLT$# H|$0Gf. DLT$#LT$@ DHT$ӎ: HT$0Bf. DHT$ӍHT$ H=Q ? AE HA Dc HDcDKMgDIG0 LMOH4LIG HT$ LLԋYDcDLT$)LT$A2DHT$ HT$VD@D貍x 0CwDˌYA D耍x0CDixԃ0C H=JP ? @@` HC HSH KP H5 11HRH9\A LO A8 @@T HC lH O H5{ H;1aWHL$谌HL$0HʈAHL$蹋HL$AD衋D_0CDtAD10C D}0HڈC1D(@DAӋ:0HڈCT$T$@`DˊD艋0HڈCD蛊@r衆H=Y H萌Ht;HPHH@@0H@ H@( H@0 H@8 HP@Hf1ff. AVAUIATUL% SH~HL9tRLInjuAHC uTH M HPH5z 1H9[]A\A]A^ f. I] H[]A\A]A^f. LHLb1HIE @ʼn뫐AUATIUSH-@ HHH~H9t@HIu1HS uDH M HI $H[]A\A]f. I $HH[ ]A\A] LHH¼HI$H[]A\A] HH valid values for signals are: [InvalidOperation, FloatOperation, DivisionByZero, Overflow, Underflow, Subnormal, Inexact, Rounded, Clamped] {<class '%s'>:%s, <class '%s'>:%s, <class '%s'>:%s, <class '%s'>:%s, <class '%s'>:%s, <class '%s'>:%s, <class '%s'>:%s, <class '%s'>:%s, <class '%s'>:%s} internal error in context_repr Context(prec=%zd, rounding=%s, Emin=%zd, Emax=%zd, capitals=%d, clamp=%d, flags=%s, traps=%s) valid values for clamp are 0 or 1 valid values for capitals are 0 or 1 valid range for Emax is [0, MAX_EMAX] valid range for Emin is [MIN_EMIN, 0] valid values for rounding are: [ROUND_CEILING, ROUND_FLOOR, ROUND_UP, ROUND_DOWN, ROUND_HALF_UP, ROUND_HALF_DOWN, ROUND_HALF_EVEN, ROUND_05UP] internal error in context_setround valid range for prec is [1, MAX_PREC] argument must be a signal dict internal error in context_settraps_list internal error in context_settraps_dict internal error in context_setstatus_list internal error in context_setstatus_dict context attributes cannot be deleted optional argument must be a context internal error in flags_as_exception argument must be a context cannot get thread state O(nsnniiOO) True False signal keys cannot be deleted invalid signal dict |OOOOOOOO prec rounding Emin Emax capitals clamp ctx argument must be a sequence of length 3 sign must be an integer with the value 0 or 1 string argument in the third position must be 'F', 'n' or 'N' coefficient must be a tuple of digits internal error in dec_sequence_as_str argument must be a tuple or list conversion from %s to Decimal is not supported F Inf sNaN exponent must be an integer %s %li argument must be int of float __abs__ as_integer_ratio bit_length ? ? other (i) -nan cannot convert NaN to integer cannot convert signaling NaN to float internal error in PyDec_ToIntegralExact internal error in PyDec_ToIntegralValue cannot convert Infinity to integer optional arg must be an integer OO|O third argument must be a Decimal (OO) modulo Cannot hash a signaling NaN value dec_hash: internal error: please report exact conversion for comparison failed internal error in dec_mpd_qquantize numerator denominator O|OO exp 3| O(O) __module__ numbers Number register Rational collections sign digits exponent DecimalTuple (ss) namedtuple MutableMapping SignalDict s(OO){} decimal.DecimalException DefaultContext ___DECIMAL_CTX__ HAVE_THREADS BasicContext ExtendedContext 1.70 __version__ __libmpdec_version__ getcontext setcontext localcontext copy __enter__ __exit__ ln log10 next_minus next_plus normalize to_integral to_integral_exact to_integral_value sqrt add compare compare_signal divide divide_int divmod max_mag min_mag multiply next_toward quantize remainder remainder_near subtract power fma Etiny Etop radix is_canonical is_finite is_infinite is_nan is_normal is_qnan is_signed is_snan is_subnormal is_zero _apply copy_abs copy_decimal copy_negate logb logical_invert number_class to_sci_string to_eng_string compare_total compare_total_mag copy_sign logical_and logical_or logical_xor rotate same_quantum scaleb shift clear_flags clear_traps __copy__ __reduce__ create_decimal create_decimal_from_float MAX_PREC MAX_EMAX MIN_EMIN MIN_ETINY decimal.InvalidOperation decimal.ConversionSyntax decimal.DivisionImpossible decimal.DivisionUndefined decimal.InvalidContext decimal.FloatOperation decimal.DivisionByZero decimal.Overflow decimal.Underflow decimal.Subnormal decimal.Inexact decimal.Rounded decimal.Clamped decimal.SignalDictMixin decimal.ContextManager decimal.Context ?B invalid decimal point or unsupported combination of LC_CTYPE and LC_NUMERIC optional argument must be a dict format specification exceeds internal limits of _decimal invalid format string format arg must be str decimal_point thousands_sep grouping invalid override dict Decimal('%s') real imag adjusted conjugate as_tuple __deepcopy__ __format__ __round__ __ceil__ __floor__ __trunc__ __complex__ __sizeof__ decimal.Decimal ;@ Tq\ } d~ ~ ~ ~ ~ ~ ~4 DT | T l Ĉ4 | 4 , | t 4 D, tD \ t Ԏ d, dd t ԙ ĚL 4 d \ t| 4, | < D $ \ 4 D $t t D 4 T T 4 TT t D , l D L $ < t 4 t d D 4 t l D , l T $ T"d $% ' *$ -\ 0 t3 d6 T9< D<t > d? A4 Cl TE DF G4 Il K L M O< Rt U X [ ! _\! a! c! f" hD" k|" m" m" q$# rD# 4rd# tt# z# $<$ t$ $ ԇ$ % $4% t% % % 4& L& & 4& Ԕ& t,' d' ' T' ( D( $t( T( ( 4 ) L) ) ) * 4* t* Ķ* * 4+ $t+ D+ d+ t4, t, , 4, $ - D- |- - - . <. l. . . D. L/ |/ $/ 0 40 0 zR x $ j FJ w ?;*3$" D hwm Hr V d w | w w w w w wI Al S $ w DH D a O O A < `xd AV I C$ \ x H B T L < Hz BAA ABN P ABM d | BBE A(A0D@a 0A(A BBBH HBPAXM`Q@y 0A(A BBBA , p} BBB B(A0A8GSFDBBBAABDDDDI^ 8A0A(B BBBA DMGDGDGGGGGGGGq D BAH OYYCAPZ AABB , < AAJ x AAJ l G A] B f , AJ _ CC k AD , AJ _ CC k AD L Pi BBB A(A0 (D BBBK N (C BBBA , < p AJ _ CC k AD 4 l } AAJ l AAF D GAT DM DM # D^ ( DM 0 DM 4 8 DM L @ DM < d H BAA p ABI D ABI D AAD Y AAO h CAD F CAA 4 0 BAA i ABP e FBC l $ BBB B(D0A8JEHMMGGV 8A0A(B BBBM < U EAA P ABF ABN 4 wAL s AAG `| L pN BBA A(D0 (A DBBA ` (D ABBN < \ p BBD A(G@ (A ABBJ P$ DR J \ ` SBA A(D0^(F ABBL0N (A ABBL l KJ K < AT L \ BBE B(D0A8K 8A0A(B BBBA T Dn N ДD Ak D S L BBB B(A0A8GpK 8A0A(B BBBJ l < p BBB B(D0A8J`JAULAQ 8A0A(B BBBJ L BBB B(D0A8J 8A0A(B BBBC L BBI B(D0A8T 8A0A(B BBBI , L AAQ0c AAH 4 | 9 AAJ N GAN DCA 4 x BAH TP AABK < 0B BBH A(TP (A ABBH < \ @B BBH A(TP (A ABBH 4 P BAH T@ AABK , AAT0} AAK , X AAT@ AAB , 4 AAT@ AAB , d AAN0 AAE , AAN0 AAE , 8 AAK n AAC 1 AQ N I , AAT0 AAL , D AAT0 AAL t X@ D\ P O x@ D\ P O @ D\ P O @ D\ P O @ D\ P O @ D\ P O 4 @ D\ P O T 8@ D\ P O 4 t X$ BAD NP AABA < P BBD A(NP (A ABBM < BBD A(NP (A ABBM 4 , p$ BAD NP AABA 4 d h$ BAD NP AABA 4 ` BAD N0t AABC 4 BAD N0t AABC 4 0 BAD N0t AABC < D BBD A(GPu (A ABBE < H BBD A(GPu (A ABBE 4 BAD D0 AABA 4 BAD D0 AABA 4 4 h BAD D0 AABA L l BBB B(D0A8HP 8D0A(B BBBE 4 BAA H0 AABF < hU BBH A(T (A ABBK < 4 U BBH A(T (A ABBK < t BBD A(Ke (A ABBA < : BBD A(GJ (A ABBP 4 $ BAD NP AABA < , BBD A(NP (A ABBM < l BBD A(NP (A ABBM < BBD A(NP (A ABBM < BBD A(NP (A ABBM < , @ BBD A(NP (A ABBM < l BBD A(NP (A ABBM 4 `$ BAD NP AABA < X BBD A(NP (A ABBM < $ BBD A(NP (A ABBM < d x BBD A(NP (A ABBM < BBD A(NP (A ABBM 4 AAThqpThA`A AAA 4 0 BAH TP AABK 4 T BAH TP AABK 4 BAH TP AABK 4 X BAH TP AABK 4 BAH TP AABK < 4 BBD A(NP (A ABBE < t ! 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If no context is specified, a copy of the current default context is used. setcontext($module, context, /) -- Set a new default context. getcontext($module, /) -- Get the current default context. create_decimal_from_float($self, f, /) -- Create a new Decimal instance from float f. Unlike the Decimal.from_float() class method, this function observes the context limits. create_decimal($self, num="0", /) -- Create a new Decimal instance from num, using self as the context. Unlike the Decimal constructor, this function observes the context limits. copy($self, /) -- Return a duplicate of the context with all flags cleared. clear_traps($self, /) -- Set all traps to False. clear_flags($self, /) -- Reset all flags to False. shift($self, x, y, /) -- Return a copy of x, shifted by y places. scaleb($self, x, y, /) -- Return the first operand after adding the second value to its exp. same_quantum($self, x, y, /) -- Return True if the two operands have the same exponent. rotate($self, x, y, /) -- Return a copy of x, rotated by y places. logical_xor($self, x, y, /) -- Digit-wise xor of x and y. logical_or($self, x, y, /) -- Digit-wise or of x and y. logical_and($self, x, y, /) -- Digit-wise and of x and y. copy_sign($self, x, y, /) -- Copy the sign from y to x. compare_total_mag($self, x, y, /) -- Compare x and y using their abstract representation, ignoring sign. compare_total($self, x, y, /) -- Compare x and y using their abstract representation. to_eng_string($self, x, /) -- Convert a number to a string, using engineering notation. to_sci_string($self, x, /) -- Convert a number to a string using scientific notation. number_class($self, x, /) -- Return an indication of the class of x. logical_invert($self, x, /) -- Invert all digits of x. logb($self, x, /) -- Return the exponent of the magnitude of the operand's MSD. copy_negate($self, x, /) -- Return a copy of x with the sign inverted. copy_decimal($self, x, /) -- Return a copy of Decimal x. copy_abs($self, x, /) -- Return a copy of x with the sign set to 0. canonical($self, x, /) -- Return a new instance of x. is_zero($self, x, /) -- Return True if x is a zero, False otherwise. is_subnormal($self, x, /) -- Return True if x is subnormal, False otherwise. is_snan($self, x, /) -- Return True if x is a signaling NaN, False otherwise. is_signed($self, x, /) -- Return True if x is negative, False otherwise. is_qnan($self, x, /) -- Return True if x is a quiet NaN, False otherwise. is_normal($self, x, /) -- Return True if x is a normal number, False otherwise. is_nan($self, x, /) -- Return True if x is a qNaN or sNaN, False otherwise. is_infinite($self, x, /) -- Return True if x is infinite, False otherwise. is_finite($self, x, /) -- Return True if x is finite, False otherwise. is_canonical($self, x, /) -- Return True if x is canonical, False otherwise. radix($self, /) -- Return 10. Etop($self, /) -- Return a value equal to Emax - prec + 1. This is the maximum exponent if the _clamp field of the context is set to 1 (IEEE clamp mode). Etop() must not be negative. Etiny($self, /) -- Return a value equal to Emin - prec + 1, which is the minimum exponent value for subnormal results. When underflow occurs, the exponent is set to Etiny. fma($self, x, y, z, /) -- Return x multiplied by y, plus z. power($self, /, a, b, modulo=None) -- Compute a**b. If 'a' is negative, then 'b' must be integral. The result will be inexact unless 'a' is integral and the result is finite and can be expressed exactly in 'precision' digits. In the Python version the result is always correctly rounded, in the C version the result is almost always correctly rounded. If modulo is given, compute (a**b) % modulo. The following restrictions hold: * all three arguments must be integral * 'b' must be nonnegative * at least one of 'a' or 'b' must be nonzero * modulo must be nonzero and less than 10**prec in absolute value subtract($self, x, y, /) -- Return the difference between x and y. remainder_near($self, x, y, /) -- Return x - y * n, where n is the integer nearest the exact value of x / y (if the result is 0 then its sign will be the sign of x). remainder($self, x, y, /) -- Return the remainder from integer division. The sign of the result, if non-zero, is the same as that of the original dividend. quantize($self, x, y, /) -- Return a value equal to x (rounded), having the exponent of y. next_toward($self, x, y, /) -- Return the number closest to x, in the direction towards y. multiply($self, x, y, /) -- Return the product of x and y. min_mag($self, x, y, /) -- Compare the values numerically with their sign ignored. min($self, x, y, /) -- Compare the values numerically and return the minimum. max_mag($self, x, y, /) -- Compare the values numerically with their sign ignored. max($self, x, y, /) -- Compare the values numerically and return the maximum. divmod($self, x, y, /) -- Return quotient and remainder of the division x / y. divide_int($self, x, y, /) -- Return x divided by y, truncated to an integer. divide($self, x, y, /) -- Return x divided by y. compare_signal($self, x, y, /) -- Compare x and y numerically. All NaNs signal. compare($self, x, y, /) -- Compare x and y numerically. add($self, x, y, /) -- Return the sum of x and y. sqrt($self, x, /) -- Square root of a non-negative number to context precision. to_integral_value($self, x, /) -- Round to an integer. to_integral_exact($self, x, /) -- Round to an integer. Signal if the result is rounded or inexact. to_integral($self, x, /) -- Identical to to_integral_value(x). plus($self, x, /) -- Plus corresponds to the unary prefix plus operator in Python, but applies the context to the result. normalize($self, x, /) -- Reduce x to its simplest form. Alias for reduce(x). next_plus($self, x, /) -- Return the smallest representable number larger than x. next_minus($self, x, /) -- Return the largest representable number smaller than x. minus($self, x, /) -- Minus corresponds to the unary prefix minus operator in Python, but applies the context to the result. log10($self, x, /) -- Return the base 10 logarithm of x. ln($self, x, /) -- Return the natural (base e) logarithm of x. exp($self, x, /) -- Return e ** x. abs($self, x, /) -- Return the absolute value of x. C decimal arithmetic module Context(prec=None, rounding=None, Emin=None, Emax=None, capitals=None, clamp=None, flags=None, traps=None) -- The context affects almost all operations and controls rounding, Over/Underflow, raising of exceptions and much more. A new context can be constructed as follows: >>> c = Context(prec=28, Emin=-425000000, Emax=425000000, ... rounding=ROUND_HALF_EVEN, capitals=1, clamp=1, ... traps=[InvalidOperation, DivisionByZero, Overflow], ... flags=[]) >>> ` K" @ @K" @ J" p $ 0 p ` ` Ќ g" @g" - f" 0 @ f" ; f" 6 e" A ` `e" K e" F d" U d" a c" s `c" p c" @ b" b" @ b" p a" @ a" d a" `" ``" @ `" p _" `_" p _" 0n ^" l ^" 0i @]" g \" 0b `Z" @ Z" @ `Y" X" # `X" ) @ X" 6 p W" @ P @W" L 0 V" S V" ] V" e U" o и `U" w U" T" , O `T" @N T" B S" L `S" K S" pI R" H `R" F R" E Q" B @Q" p? P" + P" P( @P" ( % P" 3 " O" ? `O" F ` O" S N" Z @N" ` N" l M" x @ `M" P L" K" c c XLI 8> / ' I A ` X w o @ @ g" j" j" D Ё j" j" ` g" `l" @k" 8 8 8 8 8 8 8 8 8 8 as_tuple($self, /) -- Return a tuple representation of the number. from_float($type, f, /) -- Class method that converts a float to a decimal number, exactly. Since 0.1 is not exactly representable in binary floating point, Decimal.from_float(0.1) is not the same as Decimal('0.1'). >>> Decimal.from_float(0.1) Decimal('0.1000000000000000055511151231257827021181583404541015625') >>> Decimal.from_float(float('nan')) Decimal('NaN') >>> Decimal.from_float(float('inf')) Decimal('Infinity') >>> Decimal.from_float(float('-inf')) Decimal('-Infinity') shift($self, /, other, context=None) -- Return the result of shifting the digits of the first operand by an amount specified by the second operand. The second operand must be an integer in the range -precision through precision. The absolute value of the second operand gives the number of places to shift. If the second operand is positive, then the shift is to the left; otherwise the shift is to the right. Digits shifted into the coefficient are zeros. The sign and exponent of the first operand are unchanged. scaleb($self, /, other, context=None) -- Return the first operand with the exponent adjusted the second. Equivalently, return the first operand multiplied by 10**other. The second operand must be an integer. rotate($self, /, other, context=None) -- Return the result of rotating the digits of the first operand by an amount specified by the second operand. The second operand must be an integer in the range -precision through precision. The absolute value of the second operand gives the number of places to rotate. If the second operand is positive then rotation is to the left; otherwise rotation is to the right. The coefficient of the first operand is padded on the left with zeros to length precision if necessary. The sign and exponent of the first operand are unchanged. logical_xor($self, /, other, context=None) -- Return the digit-wise 'exclusive or' of the two (logical) operands. logical_or($self, /, other, context=None) -- Return the digit-wise 'or' of the two (logical) operands. logical_and($self, /, other, context=None) -- Return the digit-wise 'and' of the two (logical) operands. same_quantum($self, /, other, context=None) -- Test whether self and other have the same exponent or whether both are NaN. This operation is unaffected by context and is quiet: no flags are changed and no rounding is performed. As an exception, the C version may raise InvalidOperation if the second operand cannot be converted exactly. copy_sign($self, /, other, context=None) -- Return a copy of the first operand with the sign set to be the same as the sign of the second operand. For example: >>> Decimal('2.3').copy_sign(Decimal('-1.5')) Decimal('-2.3') This operation is unaffected by context and is quiet: no flags are changed and no rounding is performed. As an exception, the C version may raise InvalidOperation if the second operand cannot be converted exactly. compare_total_mag($self, /, other, context=None) -- Compare two operands using their abstract representation rather than their value as in compare_total(), but ignoring the sign of each operand. x.compare_total_mag(y) is equivalent to x.copy_abs().compare_total(y.copy_abs()). This operation is unaffected by context and is quiet: no flags are changed and no rounding is performed. As an exception, the C version may raise InvalidOperation if the second operand cannot be converted exactly. compare_total($self, /, other, context=None) -- Compare two operands using their abstract representation rather than their numerical value. Similar to the compare() method, but the result gives a total ordering on Decimal instances. Two Decimal instances with the same numeric value but different representations compare unequal in this ordering: >>> Decimal('12.0').compare_total(Decimal('12')) Decimal('-1') Quiet and signaling NaNs are also included in the total ordering. The result of this function is Decimal('0') if both operands have the same representation, Decimal('-1') if the first operand is lower in the total order than the second, and Decimal('1') if the first operand is higher in the total order than the second operand. See the specification for details of the total order. This operation is unaffected by context and is quiet: no flags are changed and no rounding is performed. As an exception, the C version may raise InvalidOperation if the second operand cannot be converted exactly. to_eng_string($self, /, context=None) -- Convert to an engineering-type string. Engineering notation has an exponent which is a multiple of 3, so there are up to 3 digits left of the decimal place. For example, Decimal('123E+1') is converted to Decimal('1.23E+3'). The value of context.capitals determines whether the exponent sign is lower or upper case. Otherwise, the context does not affect the operation. number_class($self, /, context=None) -- Return a string describing the class of the operand. The returned value is one of the following ten strings: * '-Infinity', indicating that the operand is negative infinity. * '-Normal', indicating that the operand is a negative normal number. * '-Subnormal', indicating that the operand is negative and subnormal. * '-Zero', indicating that the operand is a negative zero. * '+Zero', indicating that the operand is a positive zero. * '+Subnormal', indicating that the operand is positive and subnormal. * '+Normal', indicating that the operand is a positive normal number. * '+Infinity', indicating that the operand is positive infinity. * 'NaN', indicating that the operand is a quiet NaN (Not a Number). * 'sNaN', indicating that the operand is a signaling NaN. logical_invert($self, /, context=None) -- Return the digit-wise inversion of the (logical) operand. logb($self, /, context=None) -- For a non-zero number, return the adjusted exponent of the operand as a Decimal instance. If the operand is a zero, then Decimal('-Infinity') is returned and the DivisionByZero condition is raised. If the operand is an infinity then Decimal('Infinity') is returned. copy_negate($self, /) -- Return the negation of the argument. This operation is unaffected by context and is quiet: no flags are changed and no rounding is performed. copy_abs($self, /) -- Return the absolute value of the argument. This operation is unaffected by context and is quiet: no flags are changed and no rounding is performed. radix($self, /) -- Return Decimal(10), the radix (base) in which the Decimal class does all its arithmetic. Included for compatibility with the specification. conjugate($self, /) -- Return self. canonical($self, /) -- Return the canonical encoding of the argument. Currently, the encoding of a Decimal instance is always canonical, so this operation returns its argument unchanged. adjusted($self, /) -- Return the adjusted exponent of the number. Defined as exp + digits - 1. is_subnormal($self, /, context=None) -- Return True if the argument is subnormal, and False otherwise. A number is subnormal if it is non-zero, finite, and has an adjusted exponent less than Emin. is_normal($self, /, context=None) -- Return True if the argument is a normal finite non-zero number with an adjusted exponent greater than or equal to Emin. Return False if the argument is zero, subnormal, infinite or a NaN. is_zero($self, /) -- Return True if the argument is a (positive or negative) zero and False otherwise. is_signed($self, /) -- Return True if the argument has a negative sign and False otherwise. Note that both zeros and NaNs can carry signs. is_snan($self, /) -- Return True if the argument is a signaling NaN and False otherwise. is_qnan($self, /) -- Return True if the argument is a quiet NaN, and False otherwise. is_nan($self, /) -- Return True if the argument is a (quiet or signaling) NaN and False otherwise. is_infinite($self, /) -- Return True if the argument is either positive or negative infinity and False otherwise. is_finite($self, /) -- Return True if the argument is a finite number, and False if the argument is infinite or a NaN. is_canonical($self, /) -- Return True if the argument is canonical and False otherwise. Currently, a Decimal instance is always canonical, so this operation always returns True. fma($self, /, other, third, context=None) -- Fused multiply-add. Return self*other+third with no rounding of the intermediate product self*other. >>> Decimal(2).fma(3, 5) Decimal('11') remainder_near($self, /, other, context=None) -- Return the remainder from dividing self by other. This differs from self % other in that the sign of the remainder is chosen so as to minimize its absolute value. More precisely, the return value is self - n * other where n is the integer nearest to the exact value of self / other, and if two integers are equally near then the even one is chosen. If the result is zero then its sign will be the sign of self. quantize($self, /, exp, rounding=None, context=None) -- Return a value equal to the first operand after rounding and having the exponent of the second operand. >>> Decimal('1.41421356').quantize(Decimal('1.000')) Decimal('1.414') Unlike other operations, if the length of the coefficient after the quantize operation would be greater than precision, then an InvalidOperation is signaled. This guarantees that, unless there is an error condition, the quantized exponent is always equal to that of the right-hand operand. Also unlike other operations, quantize never signals Underflow, even if the result is subnormal and inexact. If the exponent of the second operand is larger than that of the first, then rounding may be necessary. In this case, the rounding mode is determined by the rounding argument if given, else by the given context argument; if neither argument is given, the rounding mode of the current thread's context is used. next_toward($self, /, other, context=None) -- If the two operands are unequal, return the number closest to the first operand in the direction of the second operand. If both operands are numerically equal, return a copy of the first operand with the sign set to be the same as the sign of the second operand. min_mag($self, /, other, context=None) -- Similar to the min() method, but the comparison is done using the absolute values of the operands. min($self, /, other, context=None) -- Minimum of self and other. If one operand is a quiet NaN and the other is numeric, the numeric operand is returned. max_mag($self, /, other, context=None) -- Similar to the max() method, but the comparison is done using the absolute values of the operands. max($self, /, other, context=None) -- Maximum of self and other. If one operand is a quiet NaN and the other is numeric, the numeric operand is returned. compare_signal($self, /, other, context=None) -- Identical to compare, except that all NaNs signal. compare($self, /, other, context=None) -- Compare self to other. Return a decimal value: a or b is a NaN ==> Decimal('NaN') a < b ==> Decimal('-1') a == b ==> Decimal('0') a > b ==> Decimal('1') sqrt($self, /, context=None) -- Return the square root of the argument to full precision. The result is correctly rounded using the ROUND_HALF_EVEN rounding mode. to_integral_value($self, /, rounding=None, context=None) -- Round to the nearest integer without signaling Inexact or Rounded. The rounding mode is determined by the rounding parameter if given, else by the given context. If neither parameter is given, then the rounding mode of the current default context is used. to_integral_exact($self, /, rounding=None, context=None) -- Round to the nearest integer, signaling Inexact or Rounded as appropriate if rounding occurs. The rounding mode is determined by the rounding parameter if given, else by the given context. If neither parameter is given, then the rounding mode of the current default context is used. to_integral($self, /, rounding=None, context=None) -- Identical to the to_integral_value() method. The to_integral() name has been kept for compatibility with older versions. normalize($self, /, context=None) -- Normalize the number by stripping the rightmost trailing zeros and converting any result equal to Decimal('0') to Decimal('0e0'). Used for producing canonical values for members of an equivalence class. 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