+ :i-.Rt^RIt^RIt^RIt^RIHt^RIH t ^RI H t H t H t HtHtHt^RIHt^RIHt^RIHtHtHt^RIHtR tR tR tRR lt] P<t]3R lt Rt!Rt"Rt#Rt$Rt%Rt&Rt']&t(Rt)Rt*Rt+Rt,Rt-Rt.Rt/Rt.]/!].]]P`]Pb4Rt2Rt3Rt4]!]4R R!7R"4t5]/!]3R#]4]Pl4R$t7R%t8R&t9R't:R(t;R)tR,t?R-t@R.tAR/tBR0tCR1tDR2tER3tFR4tGR5tHR6tIR7tJR8tKR9tLR:tMR;tNR<tOR=tPR>tQR?tRR@tSRAtTRBtURCtVRDtWREtXRFtYRGtZRHt[RIt\RJt]RKt^RLt_RMt`RNtaROtbRPtcRQtdRRteRStfRTtgRUthRVtiRWtjRXtkRYtlRZtmR[tnR\toR]tpR^tqR_trR`tsRattRbtuRctvRdtwRetxRftyRgtzRht{Rit|Rjt}Rkt~RltRmtRntRotRptRqtRrtRstRttRutRvtRwtRxtRytRztR{tR|tR}tR~tRtRtRtRtRtRtRtRtRtRtRtRtR#)zCodegen for functions used as kernels in NumPy functions Typically, the kernels of several ufuncs that can't map directly to Python builtins Noverload)impl_ret_untracked)typingtypeserrorsloweringcgutilsconfig)register_jitable) npdatetime) cmathimplmathimplnumbers) numpy_versiong+eG?g&{?g9B.?ca\V4V8XgQh\VP4V8XgQhVP^,oVfSp\;QJd)V3RlVP4F 'dK RM RM!V3RlVP44'dVPV8XgK^RIpVP 4P PPpRPWP4pQV4hR#)zchecks that the following are true: - args and sig.args have arg_count elements - all input types are homogeneous - return type is 'return_type' if provided, otherwise it must be homogeneous with the input types. Nc3,<"TF qS8HxK R#5iN).0argtys& O/var/www/html/photoedit/myenv/lib/python3.14/site-packages/numba/np/npyfuncs.py /_check_arity_and_homogeneity..*s,8CR8sFTz"{0} called with invalid types: {1}) lenargsall return_typeinspect currentframef_backf_codeco_nameformat)sigrarityrrfnamemsgrs&&&& @r_check_arity_and_homogeneityr)s t9   sxx=E !! ! !B C,388,CCC,388, , ,K1O$$&--44<<299%Ecu 2Pc VPpVPV4p\PP Ww.\ VP 4,4p\P!WhVR7p \W2P 4U U u.uFwrVPWW4NK p p p VPW4p VPW\PVP4#uup p i)name)moduleget_argument_typellvmliteir FunctionTyperrr insert_pure_functionzipcastcallrfloat64r)contextbuilderr%r func_namermodltyfntyfnrargty cast_argsresults&&&&&& r_call_func_by_name_with_castrB2s ..C  # #B 'C ;; # #Cs388})< =D  % %ci @B#&tXX#69#6ZSgE6#69\\" (F << HH 9sC$cVP^,pWF,pTP p T\P9EdTPY4p TU u.uFp \P!Y4NK p p T P4.T ,pT.\TP4,pTUu.uF"pTPT4P4NK$ pp\ P"P%\ P"P'4T4p\P(!T TT4pTP+TT4TP-T^,4pT#TPUu.uFpTP/T4NK ppTP/TP04p\ P"P%TT4p\P2!T TTR7pTP5TTTPT4pT# \d7pRPT\T44p \P !T 4hRp?ii;iuup iuupiuupi)z!No {0} function for real type {1}Nr,)rKeyErrorr$strr LoweringErrorr.rcomplex_domain make_complexr alloca_once_value _getpointerlistget_value_type as_pointerr0r1r2VoidTypeget_or_insert_functionr6loadr/rr3call_external_function)r8r9r%rtable user_namerr:er(r;outrptrargs call_args call_argtys call_argltysr=r>retvalatyargtypesrestypes&&&&&& r_dispatch_func_by_name_typer_Bs !B(I ..C U ! !!""7/"$"s,,W:" $__&''1 dT#((^+ "-/"-B ..r2==?"- /{{'' (<(<(> M  + +Cy A R#il+ M ?BhhGhsG--c2hG++COO<{{'':  ) )#t) D//SXXtL ME (188CFK""3''($/Hs)G6H:.(H?&I6 H71H22H7c \W#^4VwrEVP^,pVPV^4pVPVR4pVPV^VPP^, ,4p VP RWu4p VP RW4p VP RW4p VP W4p VPW4pVPVRR7;_uu_4wppV;_uu_4VPpRRR4V;_uu_4VPpVPWE4pVPWE4pVPRWG4pVPRWW4pVPVV4pVP RVV4pVP VV4pVPVW4pVPVV4pRRR4RRR4VP!VP4pVP#VX4VP#XX4V# +'giEL;i +'giLm;i +'giLx;i)==FlikelyN>!=)r)r get_constanttypewidth icmp_unsignedand_or_if_else basic_blocksdivsrem icmp_signedxorselectaddphi add_incoming)r8r9r%rnumdenrZERO MINUS_ONEMIN_INT den_is_zeroden_is_minus_onenum_is_min_intcould_cause_sigfpe force_zerothen otherwisebb_then bb_otherwisedivr; num_gt_zero den_gt_zero not_same_sign mod_not_zero needs_fixing fix_valueresult_otherwiserAs&&&& rnp_int_sdiv_implrs A.HC !B   A &D$$R,I""2qSXX^^A-='>?G''d8K,,T9B**4>N &6G[=J E 2 26GtY T))G Y"..L,,s(C,,s(C!--c3=K!--c3=K#KK [AM"00sDAL"<< |DL|YEI&{{3 :  3[[ #F g& (,7 M%TT Y 3 2s=/I= H IB.H/ I H, & I/ H? :I I c\W#^4VwrEVP^,pVPV^4pVPRWu4pVPp \ P !W4;_uu_4VPp VPWE4p VPRWG4p VPRWW4p VPW4pVPRW4pVPW4pVPVWW4pVPVV 4pRRR4VPVP4pVPWy4VPXX 4V# +'giLP;i)rarfreN)r)rrhrkror if_unlikelyrqrrrsrlrtrurvrirw)r8r9r%rrxryrrz den_not_zerobb_no_ifbb_ifr;rrrrrr final_modrAs&&&& rnp_int_srem_implrs0 A.HC !B   A &D((t9L""H   W 3 3##ll3#))#s9 ))#s9  K= ,,T3= ||M@ NN<; KK 3/  4[[ #F '  5) M 4 3s 2BE E$ c\WVP^,!VP!V4p\WVP^,!VP!V4pVP WPWE.4#rD)rrrr make_tupler8r9r%rrrems&&&& rnp_int_sdivrem_implr[ 7S__Q-?-JD QC 7S__Q-?-JD QC   g CCr*c n\W#^4VwrEVP^,pVPV^4pVPRWu4pVP VRR7;_uu_4wrV ;_uu_4VP p RRR4V ;_uu_4VP WE4p VP p RRR4RRR4VPVP4pVPVX 4VPX X 4V# +'giL;i +'giLl;i +'giLw;i)rarbFrcN) r)rrhrkrnroudivrvrirw)r8r9r%rrxryrrz div_by_zerorrrrrrAs&&&& rnp_int_udiv_implrs A.HC !B   A &D''d8K U 3 37H T))GY,,s(C"..L 4[[ #F g& \* MTY 4 3s<# D$0 C> =D$D -D$> D D$ D! D$$ D4 c\W#^4VwrEVP^,pVPV^4pVPRWu4pVPp \ P !W4;_uu_4VPp VPWE4p RRR4VPVP4p V PWy4V PX X 4V # +'giLP;i)rarfN) r)rrhrkror ruremrvrirw) r8r9r%rrxryrrzrrrr;rAs &&&& rnp_int_urem_implrs A.HC !B   A &D((t9L""H   W 3 3##ll3# 4[[ #F ' U# M 4 3s 2C C( c\WVP^,!VP!V4p\WVP^,!VP!V4pVP WPWE.4#r)rrrrrrs&&&& rnp_int_udivrem_implrrr*c:\W#^4VP!V!#ra)r)fdivr8r9r%rs&&&&rnp_real_div_implrs!A. << r*c\W#^4VwrEVP^,pVPVR4pVPWE4pVP RW4p VP RWW4p VP RW4p VP V VP W44p VPWV4p VPW4#)rarf<) r)rrhfrem fcmp_orderedrlrsrtfadd)r8r9r%rin1in2rrzres res_ne_zero den_lt_zero res_lt_zerorrs&&&& rnp_real_mod_implrs!A.HC !B   C (D ,,s C&&tS7K&&sC6K&&sC6K<< ' K EGL|$7I << ''r*c:\W#^4VP!V!#r)r)rrs&&&&rnp_real_fmod_implrs A. << r*c\PPVPR4pVP W24pVP RW#4pVP WTV4#)rr)r0r1Constantrifsubrrt)r8r9rrz arg_negatedarg_is_negatives&&& r_fabsrsM ;;  # .D,,t)K**3:O >>/ <=rbN)rIrrealimagrir make_helperrr0r1rrrrnrlrfmulrr _getvalue)"r8r9r%rrrrin1rin1iin2rin2iftypeirVrzONEin2r_absin2i_absin2r_abs_ge_in2i_absrr in2r_is_zero in2i_is_zero in2_is_zeroinn_then inn_otherwiserattmp1tmp2scltmp3tmp4tmp5tmp6s"&&&& rnp_complex_div_implr$s~ !C$$Whhqk$E!HC 88D 88D 88D 88D IIE D'?@'?! '?@ A AUCUU A   g 7C ;;  s +D ++  uc *CWt,HWt,H"//hI - . .2C4 T"//hEL"//hEL!,,|\BK--1J(MX '||D(;CH&||D(;CH  #]",,t2C"<<c2D"<<d3D!,,sD1C#<<c2D"<<c2D"<<d3D"<<d3D&||D#6CH&||D#6CH# . 6Y,,t*C<<c*D<<d+D,,sD)C<<c*D<<c*D<<d+D<<d+D||D#.CH||D#.CH9 /Z ==?!A"XX #]] .-- TT6Y9 / .Z ==?s-N5>N:P"AO; (O' 6/N?%O' 7B>O5O' =O; P"B>P P"? O O'  O$ O' ' O82 O; ; P  P" P P"" Q cR#rrx1x2s&&r_npy_logaddexprqr*c<aaa\VRR7VVV3Rl4pR#)generictargetc:<aW8wdR#V!S4oVVV3RlpV#)Nc<Yr2W#8Xd VS,#W#, pV^8dVS!S!V)44,#V^8:dVS!S!V44,#V#rr)rrxytmpexpfnlog1pfnshifts&& rimpl;_generate_logaddexp..ol_npy_logaddexp..impl}s]q5y e!GwucT{333QhwuSz222Jr*r)rrrrconstrrs&& @rol_npy_logaddexp-_generate_logaddexp..ol_npy_logaddexpxs 8 5   r*Nr) fnoverloadrrrrs&fff r_generate_logaddexprtsj+,r*cR#rrrs&&rrrrr*c\W#^4VPP\4pVP VP.VP O5/4pVP WB4pV!W4#r)r)typing_contextresolve_value_typer get_call_typer get_functionr8r9r%rr=rs&&&& rnp_real_logaddexp_implrs_ A.  ! ! 4 4^ DD   W33\sxx\2 FC    *D  r*cR#rrrs&&r_npy_logaddexp2rrr*cR#rrrs&r npy_log2_1prrr*rrc,aV!\4oV3RlpV#)c><S\P!V4,#r)nplog1p)rLOG2Es&rrol_npy_log2_1p..implsrxx{""r*) _NPY_LOG2E)rrr s& @rol_npy_log2_1prs jME# Kr*rc\W#^4VPP\4pVP VP.VP O5/4pVP WB4pV!W4#r)r)rrrrrrrs&&&& rnp_real_logaddexp2_implrs_ A.  ! ! 4 4_ ED   W33\sxx\2 FC    *D  r*ctaVwrEVPo\;QJdV3RlV4F 'dK RM RM!V3RlV44'gQR4hVPwrgVPWV\P 4pVPWV\P 4pVP WE4#)c3@<"TFqPS8HxK R#5ir)ri)rrlltypes& rr&np_int_truediv_impl..s,t!vvv~tsFTzmust have homogeneous types)rirrr5rr7r) r8r9r%rrxrynumtydentyrs &&&& @rnp_int_truediv_implrsHC XXF 3,t,333,t, , ,K.KK ,88LE ,,wUEMM :C ,,wUEMM :C <<  r*c\WW#4p\P!VPVP4p\ WWT34#r)rr signaturernp_real_floor_impl)r8r9r%rrss&&&& rnp_real_floor_div_implrs7 7S 7C#//:A g6 ::r*c\WVP^,!VP!V4p\WVP^,!VP!V4pVP WPWE.4#r)rrrrrrs&&&& rnp_real_divmod_implr s\ 3??13Esxx3PRV WC 7S__Q-?-JD QC   g CCr*c VP^,Pp\P!WD4pVUu.uF'pVP WP^,VR7NK) upwrxVP p VP p VP p VP p V Pp \WW3Uu.uFqPV 8HNK up4'gQR4h\PPV R4pVPWP4pVVn\WV 4p\WV 4pVPRVV4pVP!V4;_uu_4wppV;_uu_4VP#W4pVP%V V4pVP%V V4pVP'V V4pVP'V V4pVP#VV4p\)WVV34VnRRR4V;_uu_4VP#W4pVP%V V4pVP%V V4pVP'V V4pVP'V V4pVP#VV4p\)WVV34VnRRR4RRR4VP+4#uupiuupi +'giL;i +'giLE;i +'giTP+4#;i)rDrrrrN)runderlying_floatrrrIrrrirr0r1rrrrrrnrrrrr)r8r9r%r float_kind floor_sigrrrrrrrrrrzrVrrrrrrrrrrrs&&&& rnp_complex_floor_div_implr%ss!--J  8I !C$$Whhqk$E!HC 88D 88D 88D 88D IIE D'?@'?! '?@ A AUCUU A ;;  s +D   g 7CCHWt,HWt,H"//hI - . .2C4 T,,t*C<<c*D<<c*D<<d+D<<d+D<<d+D)'IwOCHY,,t*C<<c*D<<c*D<<d+D<<d+D<<d+D)'IwOCH /& ==?M!ATY / .& ==?sI-J 1J%"K0A?J* /KA?J= K* J: 5K= K K K/ cH\W#^4\P!WW#4#rr)rcomplex_power_implrs&&&&rnp_complex_power_implr) A.  % %g BBr*cH\W#^4\P!WW#4#r)r)rreal_power_implrs&&&&rreal_float_power_implr-s A.  " "7S ??r*cH\W#^4\P!WW#4#rr'rs&&&&rnp_complex_float_power_implr/!r*r*cH\W#^4\P!WW#4#r)r)rgcd_implrs&&&&r np_gcd_implr2* A.   Ws 99r*cVPwrEYEu;8XdVP8XgQhQhVwrgRpVPWW#4p \WVPV 4#)clV^8Xd^#\W\P!W4,,4#)z' Like gcd, heavily cribbed from Julia. )absr gcd)abs&&rlcmnp_lcm_impl..lcm8s*Fq<AbffQl):$; <.complex_signLs-**QVVQVV,Cax wr*rrnan)rarD)r)rr<rrrrIr"rhfloatrrrrrbooleanrnp_complex_ge_implnp_complex_eq_implnp_complex_lt_implrt)r8r9r%rrFroprrAfloat_tyrzrr{NANcmp_sigcmp_args arg1_ge_arg2 arg1_eq_arg2 arg1_lt_arg2 real_when_ge real_when_nges&&&& rnp_complex_sign_implrYEs`!A. &&wcH!'COOSII !W XXa[%%g2&&##Hc2##Hc2((48 ""8U5\:  ""5== |YD nn\<O !!r*cJ\W#^4\P!VRV4#)rAz llvm.rintr)rcall_fp_intrinsicrs&&&&rnp_real_rint_implr]r! A.  % %g{D AAr*cv\W#^4VP^,pVPpVPWV^,R7pVPW4p\P !V.^,!p\ WWP.4Vn\ WWP.4VnVP4#rAr) r)rr"rIrrr]rrr) r8r9r%rrrPrrV inner_sigs &&&& rnp_complex_rint_implrbxs!A. !B""H   w$q'  :C   w +C  8*Q,/I 9xxjICH 9xxjICH ==?r*cH\W#^4\P!WW#4#rA)r)rexp_implrs&&&&rnp_real_exp_implrfr3r*cH\W#^4\P!WW#4#rd)r)r rers&&&&rnp_complex_exp_implrh A.   g ::r*c\W#^4V^,Pp\PP WD.4p\ P !VPVRR7pVPWc^,.4#)rAz llvm.exp2r, r)rir0r1r2r r3r.r6r8r9r%rll_tyr=r>s&&&& rnp_real_exp2_implrn_ A. GLLE ;; # #E8 4D  % %gnnd+6 8B <<!WI &&r*c\W#^4VP^,pVPpVPWV^,R7pVPW4pVP V\ 4pVP WP4VnVP WP4Vn\WW'P4.4#r`) r)rr"rIrh _NPY_LOGE2rrrrhr) r8r9r%rrrPrrloge2s &&&& rnp_complex_exp2_implrss A. !B""H   w$q'  :C   w +C  : 6E||E88,CH||E88,CH w}}6G HHr*cH\W#^4\P!WW#4#rd)r)rlog_implrs&&&&rnp_real_log_implrvr3r*cH\W#^4\P!WW#4#rd)r)r rurs&&&&rnp_complex_log_implrxrir*c\W#^4V^,Pp\PP WD.4p\ P !VPVRR7pVPWc^,.4#)rAz llvm.log2r,rkrls&&&& rnp_real_log2_implrzror*cb\W#^4VP^,pVPp\WW#4pVP WVR7pVP V\ 4pVPWvP4VnVPWvP4Vn VP4#r`) r)rr"rxrIrhrrrrr)r8r9r%rrrPrlog2es&&&& rnp_complex_log2_implr}s A. !B""H g :C   w#  6C  : 6E||E88,CH||E88,CH ==?r*cH\W#^4\P!WW#4#rd)r)r log10_implrs&&&&rnp_real_log10_implr A.   w ;;r*cb\W#^4VP^,pVPp\WW#4pVP WVR7pVP V\ 4pVPWvP4VnVPWvP4Vn VP4#r`) r)rr"rxrIrh _NPY_LOG10Errrr)r8r9r%rrrPrlog10es&&&& rnp_complex_log10_implrs A. !B""H g :C   w#  6C  ! !(K 8F||FHH-CH||FHH-CH ==?r*cH\W#^4\P!WW#4#rd)r)r expm1_implrs&&&&rnp_real_expm1_implrrr*c.\W#^4VP^,pVPp\P!V.^,!pVP VR4pVP WV^,R7p\WWhP.4p VP W4p \WWhP.4p \WWhP.4p VPW4p VPW4V n VPW4V nV P4#)rArrI)r)rr"rrrhrIrfrnp_real_cos_implrnp_real_sin_implrrr)r8r9r%rrrPfloat_unary_sigr{rr8rVcos_imagsin_imagrs&&&& rnp_complex_expm1_implrs A. !B""H&& 1 5O$$Xt4I   w$q'  :C?XXJGA   w +C/HH:NH/HH:NH ,,q #C||A(CH||C+CH ==?r*cH\W#^4\P!WW#4#rd)r)r log1p_implrs&&&&rnp_real_log1p_implrrr*c*\W#^4VP^,pVPp\P!V.^,!p\P!V.^,!pVP VR4pVP WV^,R7p VP W4p VPV PV4p \WVWP.4p \WVV PV .4V n \WWl.4V nV P4#)rArr)r)rr"rrrhrIrrnp_real_hypot_implrnp_real_atan2_implrvr) r8r9r%rrrPrfloat_binary_sigrrrV real_plus_onels &&&& rnp_complex_log1p_implr s A. !B""H&& 1 5O''(A6   x -C   w$q'  :C   w +CLL3/M7-=)884 6A!'4D#&88]";=CH/3GCH ==?r*cH\W#^4\P!WW#4#rd)r)r sqrt_implrs&&&&rnp_real_sqrt_implr# A.   g ::r*cH\W#^4\P!WW#4#rd)r)r rrs&&&&rnp_complex_sqrt_implr(s A.   w ;;r*cZ\W#^4VPV^,V^,4#rd)r)mulrs&&&&rnp_int_square_implr0s% A. ;;tAwQ ((r*cZ\W#^4VPV^,V^,4#rd)r)rrs&&&&rnp_real_square_implr5s% A. <<Qa ))r*c\W#^4\P!VP.^,!p\P !WVV^,V^,.4#rd)r)rrrrcomplex_mul_impl)r8r9r%r binary_sigs&&&& rnp_complex_square_implr9sO A.!!COO#4Q#67J  # #Gj&*1gtAw%7 99r*cpa\W#^4\RR7R4oV3RlpVPWW#4#)rAT)fastmathcpV^8d\P!V)R4)#\P!VR4#)rDgUUUUUU?)r powerrs&rcbrtnp_real_cbrt_impl..cbrtHs0 q5HHaR++ +88Ay) )r*cl<\P!V4'd\P#S!V4#r)r isnanrH)rrs&r_cbrt np_real_cbrt_impl.._cbrtOs" 88A;;66MAwr*)r)r r<)r8r9r%rrrs&&&& @rnp_real_cbrt_implrCs@ A.t$*%*   # #GC >>r*c^\W#^4VPp\P!V.^,!pVP W^,V\ P 4pVP\ P ^4pVPWv4pVP W\ P V4#rd) r)rrrr5rr7rhr) r8r9r%rrr in_as_floatrresult_as_floats &&&& rnp_int_reciprocal_implrZs!A. B!!B46*J,,wQU]]CK   u}}a 0Cll34O <<%-- DDr*c\W#^4VPVPR4pVPWC^,4#rAr)r)rhrr)r8r9r%rrs&&&& rnp_real_reciprocal_implrhs5 A.   s 4C <<!W %%r*c \W#^4VP^,pVPpVPVR4pVPVR4pVP WV^,R7pVP W4p VP p VP p \WV 4p \WV 4p VPRW4pVPV4;_uu_4wppV;_uu_4VPW4pVPV V4pVPV V4pVPVV4pVPVV4pVV nVPVV4V nRRR4V;_uu_4VPW4pVPV V4pVPVV 4pVPVV4pVPVV4V nVPVV4V nRRR4RRR4V P4# +'giL;i +'giL;;i +'giT P4#;i)rArrr<=N)r)rr"rhrIrrrrrnrrrrr)r8r9r%rrrPrzrrrVrrin1r_absin1i_absin1i_abs_le_in1r_absrrrtmp0dinv_dminus_rs&&&& rnp_complex_reciprocal_implrns!A. !B""H   # .D   x -C   w$q'  :C   w +C 88D 88DWt,HWt,H"//hI - . .2C4 T T(A<<a(D T4(ALLa(Ell4+GCH||GU3CHY T(A<<a(D T4(ALLa(E||Au-CH||D%0CH  /" ==?!TY / ." ==?s>H*$A8H H*.A6H $H* H H* H' "H** I cH\W#^4\P!WW#4#rd)r)rsin_implrs&&&&rrrr3r*cH\W#^4\P!WW#4#rd)r)r rrs&&&&rnp_complex_sin_implrrir*cH\W#^4\P!WW#4#rd)r)rcos_implrs&&&&rrrr3r*cH\W#^4\P!WW#4#rd)r)r rrs&&&&rnp_complex_cos_implrrir*cH\W#^4\P!WW#4#rd)r)rtan_implrs&&&&rnp_real_tan_implrr3r*cH\W#^4\P!WW#4#rd)r)r asin_implrs&&&&rnp_real_asin_implrrr*cH\W#^4\P!WW#4#rd)r)r acos_implrs&&&&rnp_real_acos_implrrr*cH\W#^4\P!WW#4#rd)r)r atan_implrs&&&&rnp_real_atan_implrrr*cH\W#^4\P!WW#4#r)r)ratan2_float_implrs&&&&rrr A.  $ $Ws AAr*cH\W#^4\P!WW#4#r)r)rhypot_float_implrs&&&&rrrrr*cH\W#^4\P!WW#4#rd)r)r sinh_implrs&&&&rnp_real_sinh_implrrr*c\W#^4VP^,pVPp\P!V.^,!pVP WV^,4pVP W4pVP p VPp \WWj.4p \WWi.4p \WWj.4p \WWi.4pVPW4VnVPW4VnVP4#rd)r)rr"rrrIrrrrrnp_real_cosh_implrr)r8r9r%rrftyfsig1rrVxrxisxishxrcxichxrs&&&& rnp_complex_sinh_implrs!A. !B  C   seAg &EW$q'2A   w +C B B 7UD 9C Wud ;D 7UD 9C Wud ;D||C&CH||C&CH ==?r*cH\W#^4\P!WW#4#rd)r)r cosh_implrs&&&&rrrrr*c\W#^4VP^,pVPp\P!V.^,!pVP WV^,4pVP W4pVP p VPp \WWj.4p \WWi.4p \WWj.4p \WWi.4pVPW4VnVPW4VnVP4#rd)r)rr"rrrIrrrrrrrr)r8r9r%rrrrrrVrrrrrrs&&&& rnp_complex_cosh_implrs!A. !B  C   seAg &EW$q'2A   w +C B B 7UD 9C Wud ;D 7UD 9C Wud ;D||C&CH||C&CH ==?r*cH\W#^4\P!WW#4#rd)r)r tanh_implrs&&&&rnp_real_tanh_implr#rr*c \W#^4VP^,pVPp\P!V.^,!pVP VR4pVP WV^,4pVP W4p VPp VPp \WWk.4p \WWk.4p \WWj.4p\WWj.4pVPW4pVPW4pVPW4pVPW4pVPVV4pVPVV4pVPVV4pVPVV4pVPVV4pVPVV4pVPVV4pVPVV4pVPVV4pVP!VV4pVPVV4V nVPVV4V nV P#4#r)r)rr"rrrhrIrrrrrrrrrrr)r8r9r%rrrrrrrVrrsicishrchr_rsis_rcicsqr_rcsqr_icrrrs_rcis_icis_rcrs_icnumrnumis&&&& rnp_complex_tanh_implr(s!A. !B  C   seAg &E   sC (CW$q'2A   w +C B B 'E4 8B 'E4 8B GeT :C Wud ;D b B ,,r C b B b B \\"b !F \\"b !F VV$A LLa E LLR E LLb !E LLb !E LLR E <<u %D <<u %D||D%(CH||D%(CH ==?r*cH\W#^4\P!WW#4#rd)r)r asinh_implrs&&&&rnp_real_asinh_implrQrr*cH\W#^4\P!WW#4#rd)r)r acosh_implrs&&&&rnp_real_acosh_implr Yrr*c\W#^4VP^,p\P!V.^,!pVP WR4pV^,p\ P !WWWV.4p\ P!WWWV.4p \WW(.4p \WW).4p \ P!WVV V .4p \ P !WWWV .4p \WW-.4#)rAy?) r)rrrget_constant_genericrcomplex_add_implcomplex_sub_implrrrx)r8r9r%rrcsig2rr x_plus_one x_minus_onesqrt_x_plus_onesqrt_x_minus_one prod_sqrtlog_args&&&& rnp_complex_acosh_implr^s!A. !B   rd1f %E  & &wJ ?C QA))'EEHDJKJ**7UFIEKLK*7S,OO+Gc=Q((5+:+;+=>I&&wBKAMNG wi @@r*cH\W#^4\P!WW#4#rd)r)r atanh_implrs&&&&rnp_real_atanh_implr|rr*cJ\W#^4\P!VRV4#)rAz llvm.floorr[rs&&&&rrr! A.  % %g|T BBr*cJ\W#^4\P!VRV4#)rAz llvm.ceilr[rs&&&&rnp_real_ceil_implrr^r*cJ\W#^4\P!VRV4#)rAz llvm.truncr[rs&&&&rnp_real_trunc_implr rr*cJ\W#^4\P!VRV4#)rAz llvm.fabsr[rs&&&&rnp_real_fabs_implr"r^r*c  \W#^\PR7VP^,pVUu.uFqPP WVR7NK upwrgVP pVP p VP p VP p VPRW4p VPRW4p VPRW4pVPRW4pVPW4pVPW4pVPVV4#uupi)rarrreordrbr r)rrKrrIrrrrlrm)r8r9r%rrrrrrryryixr_gt_yr no_nan_xi_yixr_eq_yrxi_ge_yi first_term second_terms&&&& rrLrL!A5==I !BHLM$$W$<MHC B B B B##C0H''r6L##D"1H##D"1Hh5J,,x2K ;;z; //NDc  \W#^\PR7VP^,pVUu.uFqPP WVR7NK upwrgVP pVP p VP p VP p VPRW4p VPRW4p VPRW4pVPRW4pVPW4pVPW4pVPVV4#uupi)rar$rrr%rbrr&)r8r9r%rrrrrrrr'r(xr_lt_yrr*r+xi_le_yir-r.s&&&& rnp_complex_le_implr4r/r0c  \W#^\PR7VP^,pVUu.uFqPP WVR7NK upwrgVP pVP p VP p VP p VPRW4p VPRW4p VPRW4pVPRW4pVPW4pVPW4pVPVV4#uupi)rar$rrer%rbr&)r8r9r%rrrrrrrr'r(r)r*r+xi_gt_yir-r.s&&&& rnp_complex_gt_implr7!A5==I !BHLM$$W$<MHC B B B B##C0H''r6L##D"1H##C0Hh5J,,x2K ;;z; //Nr0c  \W#^\PR7VP^,pVUu.uFqPP WVR7NK upwrgVP pVP p VP p VP p VPRW4p VPRW4p VPRW4pVPRW4pVPW4pVPW4pVPVV4#uupi)rar$rrr%rbr&)r8r9r%rrrrrrrr'r(r2r*r+xi_lt_yir-r.s&&&& rrNrNr8r0c |\W#^\PR7VP^,pVUu.uFqPP WVR7NK upwrgVP pVP p VP p VP p VPRW4p VPRW4p VPW4#uupi)rar$rrb) r)rrKrrIrrrrl)r8r9r%rrrrrrrr'r(r+xi_eq_yis&&&& rrMrMs!A5==I !BHLM$$W$<MHC B B B B##D"1H##D"1H << ++NB9c |\W#^\PR7VP^,pVUu.uFqPP WVR7NK upwrgVP pVP p VP p VP p VPRW4p VPRW4p VPW4#uupi)rar$rrf) r)rrKrrIrrfcmp_unorderedrm)r8r9r%rrrrrrrr'r(xr_ne_yrxi_ne_yis&&&& rnp_complex_ne_implrBs!A5==I !BHLM$$W$<MHC B B B B%%dB3H%%dB3H ;;x **Nr=cVPWVR7p\P!WP4p\P!WP4pVP WV4#)r)rIr is_truerrrm)r8r9rval complex_valre_trueim_trues&&&& r_complex_is_truerI&sN&&w#&>Koog'7'78Goog'7'78G ;;w ((r*c\W#^\PR7\P!W^,4p\P!W^,4pVP WE4#rar$)r)rrKr rDrlr8r9r%rr8r9s&&&& rnp_logical_and_implrM-sE A5==Ia)Aa)A << r*c\W#^\PR7\WVP^,V^,4p\WVP^,V^,4pVP WE4#rK)r)rrKrIrrlrLs&&&& rnp_complex_logical_and_implrO4sU A5==I388A;Q@A388A;Q@A << r*c\W#^\PR7\P!W^,4p\P!W^,4pVP WE4#rK)r)rrKr rDrmrLs&&&& rnp_logical_or_implrQ;E A5==Ia)Aa)A ;;q r*c\W#^\PR7\WVP^,V^,4p\WVP^,V^,4pVP WE4#rK)r)rrKrIrrmrLs&&&& rnp_complex_logical_or_implrTBU A5==I388A;Q@A388A;Q@A ;;q r*c\W#^\PR7\P!W^,4p\P!W^,4pVP WE4#rK)r)rrKr rDrsrLs&&&& rnp_logical_xor_implrWIrRr*c\W#^\PR7\WVP^,V^,4p\WVP^,V^,4pVP WE4#rK)r)rrKrIrrsrLs&&&& rnp_complex_logical_xor_implrYPrUr*ct\W#^\PR7\P!W^,4#rAr$)r)rrKr is_falsers&&&&rnp_logical_not_implr]Ws' A5==I   G!W --r*c\W#^\PR7\WVP^,V^,4pVP V4#r[)r)rrKrIrnot_)r8r9r%rr8s&&&& rnp_complex_logical_not_implr`\s: A5==I388A;Q@A <<?r*cj\W#^4VwrEVPRWE4pVPWdV4#rarr)rrrt)r8r9r%rarg1arg2 arg1_sge_arg2s&&&& rnp_int_smax_implrgk6 A.JD''d9M >>-t 44r*cj\W#^4VwrEVPRWE4pVPWdV4#rbr)rkrt)r8r9r%rrdre arg1_uge_arg2s&&&& rnp_int_umax_implrlr6 A.JD))$;M >>-t 44r*c\W#^4VwrEVPRWD4pVPRWE4pVPWdV4pVPRWE4p VPWV4p VPWxV 4#raunorr)r?rtr) r8r9r%rrdrearg1_nanany_nan nan_resultrTnon_nan_results &&&& rnp_real_maximum_implrvyz A.JD%%eT8H$$UD7G5J''d9L^^L=N >>'~ >>r*c\W#^4VwrEVPRWU4pVPRWE4pVPWdV4pVPRWE4p VPWV4p VPWxV 4#rorq) r8r9r%rrdrearg2_nanrsrtrTrus &&&& rnp_real_fmax_implrzrwr*c\W#^4VP^,p\P!\P V4p\P!\P .V.^,O5!pVwrx\ WWW.4p \ WWX.4p VPW4p VPWV4p \WWc4p VPWV4pVPWV4#r r)rrrrrKnp_complex_isnan_implrmrtrLr8r9r%rrbc_sigbcc_sigrdrerrryrsrtrTrus&&&& rnp_complex_maximum_implr !A. !B   emmR 0Fu}}6tAv6GJD$WvvFH$WvvFHkk(-G5J%gFL^^L=N >>'~ >>r*c\W#^4VP^,p\P!\P V4p\P!\P .V.^,O5!pVwrx\ WWW.4p \ WWX.4p VPW4p VPWV4p \WWc4p VPWV4pVPWV4#rr|r~s&&&& rnp_complex_fmax_implr !A. !B   emmR 0Fu}}6tAv6GJD$WvvFH$WvvFHkk(-G5J%gFL^^L=N >>'~ >>r*cj\W#^4VwrEVPRWE4pVPWdV4#rarrc)r8r9r%rrdre arg1_sle_arg2s&&&& rnp_int_smin_implrrhr*cj\W#^4VwrEVPRWE4pVPWdV4#rrj)r8r9r%rrdre arg1_ule_arg2s&&&& rnp_int_umin_implrrmr*c\W#^4VwrEVPRWD4pVPRWE4pVPWdV4pVPRWE4p VPWV4p VPWxV 4#rarprrq r8r9r%rrdrerrrsrt arg1_le_arg2rus &&&& rnp_real_minimum_implrrwr*c\W#^4VwrEVPRWD4pVPRWE4pVPWeV4pVPRWE4p VPWV4p VPWxV 4#rrqrs &&&& rnp_real_fmin_implrrwr*c\W#^4VP^,p\P!\P V4p\P!\P .V.^,O5!pVwrx\ WWW.4p \ WWX.4p VPW4p VPWV4p \WWc4p VPWV4pVPWV4#r r)rrrrrKr}rmrtr4r8r9r%rrrrrdrerrryrsrtrrus&&&& rnp_complex_minimum_implrrr*c\W#^4VP^,p\P!\P V4p\P!\P .V.^,O5!pVwrx\ WWW.4p \ WWX.4p VPW4p VPWV4p \WWc4p VPWV4pVPWV4#rrrs&&&& rnp_complex_fmin_implrrr*cZ\W#^\PR7\P#r[r)rrKr false_bitrs&&&&rnp_int_isnan_implr A5==I   r*ct\W#^\PR7\P!W^,4#r[)r)rrKris_nanrs&&&&rnp_real_isnan_implr!% A5==I ??7G ,,r*c\W#^\PR7VwpVPwpVP WVR7p\ P !W4#rAr$r)r)rrKrrIr rr8r9r%rrrrFs&&&& rr}r}&sJ A5==I BA ((CB&&w!&s' A5==I   gAw //r*c\W#^\PR7VwpVPwpVP WVR7p\ P !W4#r)r)rrKrrIr rrs&&&& rnp_complex_isfinite_implrCsJ A5==I BA ((CB&&w!&ll_sinf inner_argsrs&&&& rnp_real_spacing_implrs!A.  ) (N 88DR  "9I GLLE 266]F ;; # #E5> :D  % %gnnd+: rs% )2GG1660 5 4 4 &mm 0; I .|"J8D .*D$(& =GZ 2 NJ"&&A   +i()OS+rww? !$; D 0lC@ C: F&'"ZB &: ;' I: ;'  <  <0<2; <) *9?. E& $T: ;: ;:;;;BB; 8; 6; #R<< A<<CBCB0*0*0*0*,"+.). 55 ? ??,?*55 ? ??,?0 - 2 @ > 0 5 - 2$E D,: Er*