
    MZd&8                     l   d dl mZmZmZmZmZmZmZmZm	Z	m
Z
mZmZmZmZ d dlmZmZ d dlmZ d dlmZmZmZmZmZmZmZmZmZmZm Z m!Z!m"Z"m#Z# d dl$m%Z%m&Z& ejN                  Z' e&dd      xZ(Z)e(jU                   ed	d
      e'        e&d      Z+e+jU                   ed	d      e'        e&dd      xZ,xZ-Z.e-j_                  e        e&ddd      xZ0xZ1Z2e1jU                  edz  e-        e&dd      xZ3xZ4Z5 e&dd      xZ6xZ7Z8 e&dd      xZ9xZ:Z; e&dd      xZ<xZ=Z> e&dd      xZ?xZ@ZAe?jU                  ee=        e&dd       xZBxZCZD e&d!d"      xZExZFZGeFj_                  e        e&d#d$      xZHxZIZJeIj_                  e        e&d%d&      xZKxZLZMeLj_                  e        e&d'd(      xZNxZOZPeOj_                  e        e&d)d*      xZQxZRZS e&d+d,      xZTxZUZV e&d-d.      xZWxZXZY e&d/d0      xZZxZ[xZ\Z] e&d1d2      xZ^xZ_Z` e&d3      ZaeajU                  e'd4z  eQ        e&d5      ZbebjU                  e'd6z  eT        e&d7d8      xZcxZdZeecj_                  e        e&d9d:      xZfxZgxZhZiefj_                  e        e&d;d;d<      xZjZkejj_                  e        e&d=d>      xZlxZxZmZnelj_                  e	        e&d?d@      xZoxZpZqeoj_                  e
        e&dAdB      xZrxZsZterj_                  e        e&dCdD      xZuxZvZweuj_                  e        e&dEdF      xZxxZyxZzZ{exj_                  e        e&dG      Z| e&dHdI      xZ}xZ~Z e&dJ      Z e&dK      Z e&dL      Z e&dM      Z e&dN      Z e&dO      xZxZxZZ e&dPdQ      xZZ e&dRdS      xZZ e&dT      xZZ e&dUdV      xZZ e&dWdX      xZxZZejU                  ee=        e&dYdZd[      xZxZZejU                  ee=        e%d\      xZxZxZxZxZZ e&d]d^      xZxZZejU                  ee=        e&d_d`      xZZ e&dadb      xZxZZejU                  ee:        e&dcdd      xZxZZejU                  ee:        e&dedf      xZxZZejU                  ee:        e&dgdh      xZxZZejU                  ee:        e&didjdk      xZxZxZxZZejU                  ee:        e&dldm      xZxZZejU                  ee:        e&dndo      xZxZZejU                  ee:        e&dpdq      xZxZZejU                   edrds      e:        e&dt      xZZejU                   ed	du      e        e&dvdw      xZxZZejU                  dxe        e&dy      xZxZZejU                  dze        e&d{      xZxZZejU                  d|e        e&d}d~      xZZejU                   ed	d      e:        e&dd      xZZ e&d      xZxZxZZ e&d      xZxZxZZejU                   ed	d      eͫ        e&d      xZxZxZZejU                   ed	d
      eͫ        e&d      xZxZxZZejU                   ed	d      eͫ        e&dd      xZxZZejU                  eeC        e&ddd      xZxZZejU                  eeC        e&dd      xZxZZejU                  eeC        e&dd      xZxZZejU                  eeC        e&d      xZZejU                  deC        e&d      xZxZZejU                  de        e&d      xZZejU                  de        e&d      xZZejU                  de        e&d      xZZejU                  deD        e&d      xZZejU                  de        e&d      xZZejU                  de        e&d      xZZejU                  de'dz  z   e        e&d      xZZejU                  de        e&d      xZZejU                  de        e&d      xZZejU                  de       exZZ e%dd      xZ Z e%dd      xZZ e%dd      Z e%dd      Z e%dd      Z e%dd      xZxZZ	 e%d      Z
 e%d      xZZ e%d      xZZ e%d      xZZ e%dd      xZZ e%d      Z e%dd      Z e%dd      Z e%dd      xZxZZ e%d      xZxZZ e%d      xZxZZ e%ddd      xZZ  e%dd¬      xZ!xZ"Z# e&ddĬ      xZ$xZ%Z& e&ddƬ      xZ'Z(e(jU                  ee\        e&ddǬ      xZ)Z* e&dȫ      xZ+Z, e&dɫ      Z-dʐZ. e&d˫      xZ/Z0e$jU                  deZ       e)jU                  d
e'       e+jU                   eddΫ      e?        e&dϫ      xZ1xZ2Z3 e&dЫ      xZ4Z5 e&ddҬ      xZ6xZ7Z8 e&ddԬ      xZ9xZ:Z; e&ddd׬      Z< e&dddڬ      Z= e&dddݬ      Z> e&ddd      Z? e&ddd      Z@ e&d      ZA e&d      ZB e&d      ZC e&ddd      ZD e&ddd      ZE e&ddd      ZF e&ddd      ZG e&dd      ZH e&ddd      ZI e&ddd      ZJ e&ddd      ZK e&ddd      ZL e&dd d      ZM e&ddd      ZN e&ddd      ZO e&d      xZPZQePj_                  e        e&d	      xZRZS e&d
      xZTZU e&d      xZVZW e&d      xZXZY e&d      xZZZ[ e&d      xZ\Z] e&d      xZ^Z_eRjU                  deP       eTjU                  eeR       eVjU                  eeR       eXjU                  e eR       eZjU                  e!eR       e\jU                  e"eR       e^jU                  e#eR        e&dd      xZ`Za e&dd      xZbZcy(      )currenttemperatureamount_of_substanceluminous_intensityanglechargevoltage	impedanceconductancecapacitance
inductancemagnetic_densitymagnetic_fluxinformation)Rationalpi)S)kilomegamillimicrodecicentinanopicokibimebigibitebipebiexbi)PhysicalConstantQuantitypercentz\%)
latex_repr   d   permillei  radianrad)abbrevdegreedegz^\circ)r+   r%      	steradiansrangular_milmilmetermgramgkilogramkgsecondsampereAkelvinKmolemolcandelacdnewtonNjouleJwattWpascalPahertzHzdynei ergi coulombCvoltVohmz\Omegasiemensr   faradFhenryHteslaTweberWb
statamperestatcoulombstatCstatvoltgaussmaxwelldebyeoersteddioptreluxlxkatalkatgray	becquerelBq	milligrammg	microgramugz\mu\text{g}atomic_mass_constanttonnetelectron_rest_massme	kilometerkm	decimeterdm
centimetercm
millimetermm
micrometerumz\mu\text{m}	nanometernm	picometerpmfootfti  i'  inch   yardyd   milei  nautical_milei  angstromz\r{A}l    d(	 hectarehaliter	deciliter
   
centiliter
millilitermillisecondmsmicrosecondusz\mu\text{s}
nanosecondns
picosecondpsminute<   hourday   anomalistic_yeargx'v@sidereal_yearg
ףX~Atropical_yeargv@common_yearim  julian_year   draconic_yeargRu@gaussian_yearg^NdAv@full_moon_cyclegy@gravitational_constantGspeed_of_lightcelementary_chargeeplanckhhbarelectronvolteVavogadro_numberavogadro_constantboltzmann_constantstefan_boltzmann_constantmolar_gas_constantRfaraday_constantjosephson_constantK_jvon_klitzing_constantR_kacceleration_due_to_gravitymagnetic_constantvacuum_permittivityvacuum_impedanceZ_0zZ_{0}coulomb_constantk_e
atmosphereatm
kilopascalkPabarpoundpsig{0+@mmHgi͋ i i milli_mass_unitquart	lightyearlyastronomical_unitAUplanck_massm_Pz
m_\text{P}planck_timet_Pz
t_\text{P}planck_temperatureT_Pz
T_\text{P}planck_lengthl_Pz
l_\text{P}planck_chargeq_Pz
q_\text{P}planck_areaplanck_volumeplanck_momentumplanck_energyE_Pz
E_\text{P}planck_forceF_Pz
F_\text{P}planck_powerP_Pz
P_\text{P}planck_densityrho_Pz\rho_\text{P}planck_energy_densityzrho^E_Pplanck_intensityI_Pz
I_\text{P}planck_angular_frequencyomega_Pz\omega_\text{P}planck_pressurep_Pz
p_\text{P}planck_currentplanck_voltageV_Pz
V_\text{P}planck_impedanceZ_Pz
Z_\text{P}planck_accelerationa_Pz
a_\text{P}bitbytekibibytemebibytegibibytetebibytepebibyteexbibyte   curieCi
rutherfordRdN(d  5sympy.physics.units.definitions.dimension_definitionsr   r   r   r   r   r   r	   r
   r   r   r   r   r   r   sympy.core.numbersr   r   sympy.core.singletonr   S_singletonsympy.physics.units.prefixesr   r   r   r   r   r   r   r   r   r   r   r   r    r!   sympy.physics.units.quantitiesr"   r#   Oner$   percents set_global_relative_scale_factorr(   r*   r)   radiansset_global_dimensionr-   r,   degreesr0   r/   
steradiansr2   r1   angular_milsr4   r3   metersr6   r5   gramsr8   r7   	kilogramsr:   r9   secondsr<   r;   amperesr>   r=   kelvinsr@   r?   molesrB   rA   candelasrC   newtonsrD   rE   joulesrF   rG   wattsrH   rI   pascalsrJ   parK   hzrL   rM   rN   rO   coulombsrP   rQ   voltsvrR   rS   ohmsrT   mhomhosrU   faradsrV   rW   henrysrX   rY   teslasrZ   r[   webersr\   wbr]   r^   r_   franklinr`   ra   rb   rc   rd   optical_powerre   diopterDrf   rg   rh   ri   rj   Gyrk   rl   rn   rm   
milligramsrp   ro   
microgramsDadaltonamuamusatomic_mass_unitrq   rs   
metric_tonrr   ru   rt   rw   rv   
kilometersry   rx   
decimetersr{   rz   centimetersr}   r|   millimetersr   r~   micrometersmicronmicronsr   r   
nanometersr   r   
picometersr   r   feetr   inchesr   r   yardsmir   milesnmir   nautical_milesr   	angstromsr   r   lLr   litersdldLr   
decilitersclcLr   centilitersmlmLr   millilitersr   r   millisecondsr   r   microsecondsr   r   nanosecondsr   r   picosecondsr   minutesr   r   hoursr   daysr   anomalistic_yearsr   sidereal_yearsr   tropical_yearsr   common_yearsr   julian_yearsr   draconic_yearsr   gaussian_yearsr   full_moon_cyclesyearyearsr   r   r   r   r   r   r   r   r   electronvoltsr   avogadror   	boltzmannr   stefanr   r   r   r   r   r   geegeesr   u0r   vacuum_permeabilitye0electric_constantr   Z0r   r   coulombs_constantelectric_force_constantr   atmospheresr   r   r   r   barsr   poundsr   dHg0r   torrmmummusr   r   quartsr   r   
lightyearsaur   astronomical_unitsr   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   bitsr   bytesr   	kibibytesr   	mebibytesr   	gibibytesr   	tebibytesr   	pebibytesr   	exbibytesr  r  r  r       R/usr/lib/python3/dist-packages/sympy/physics/units/definitions/unit_definitions.py<module>r     s      . 1 ~ ~ ~ ~ Eoo
 iE: :(  ( (!S)93 ?J  ) )(1d*;S A "(59 9 9fw   E "!(5YO O Ofw  ' '3 7&{4@ @ @Y#+M%#H H HkL gc2 2 2EF F3/ / /D5 %Z= = =X	  # #D$ /5 5 5FW5 5 5FW   G $5 5 5FW   K (fU3 3 3dU   - ."9T: : :Wx   / 0  5 5 51gc2 2 2F3/ / /uq%ht< < < <2740 0 0R   % %c%i 8uo  $ $SY 6 ")C8 8 8(Q   V $s3 3 3u 3q1   ' "eEi@ @d    ##Ic: : :! :cD   [ )gc2 2 2   ; 'gc2 2 2   : &gc2 2 2   + ,#GD9 9 9 9b   = ) l#
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9

9
 )1(; ; ; ;'AE$' 'b wu- - V r +d3 3	B
 '{4@ @ @Y  # #E4 0&{4N[ [ [Y  # #E4 0 FVVlEm m mV mc mD m+.B!'#6 6 6J  & &tT 2 ##7E E
 '{4@ @ @Y  # #D% 0&{4@ @ @Y  # #D% 0 (d C C CZ+  # #E5 1 (d C C CZ+  # #E5 1 \$>BC CZ C+ C  # #E5 1&{4@ @ @Y  # #D% 0&{4@ @ @Y  # #D% 0F40 0 0TD  # #HT5$95 A   v  % %hq"ot <VD1 1 1TE  # #At ,V$ $ $TE  # #D$ /'/'@ @ @mn  $ $T4 0
x@ @9  ) )(1f*=u E
 	$/ /W!'* * *A *#+K#8 8 8R 8)j  # #HQOU ;%-l%; ; ;R ;*{  # #HQ$4e <%-l%; ; ;R ;*{  # #HQ$5u =
 #+="F F F[<  , ,UF ;"*=R`"a a a[<  , ,UF ; (d C C CZ+ 
 + +D& 9 (d C C CZ+ 
 + +D& 9H% %  ' 'F 3F# # #D5  % %b& 1e_ d  $ $R .'/0B'C C $  1 1*c B!)/!: :  . .|W E!)/!: :  . .y# >%m4 4l  , ,S# 6%m4 4l  , ,cCEkC @!)/!: :  . .vs ;!)/!: :  . .{C @%-.?%@ @"  0 0s C u ..FsS S &&6sC CN %%8E  
(3	/ v. %5^D$Q Q Q\M ##45  00CD D "22F!G G	 &66Q%R R	" **>sK K $$67  &&:5I  ))@O  ,<<Ybe+f f fd( 0@@S/T T T, 0@@U/V V V, ));EV^_ _ '67  7$'> "*,u!E E
 E[3L7 7j 
 + +D" 5eE* *d'" "uov t 
 + +FF ;  $ $S# .  & &x)'Db I'(9: : :d_'" "
 '{4@ @ @Y.67JSW.X X X+ }U}M}U}M25)68  =Q=Q }%),-=QuOuO*7GWX !8K .uW #$>y/AC  ,U}U*5]S*5]S.uW 4U*79 
 e_ d    % u
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