-- Definitions for units known to val
-- File format is two strings and a return statement with them in it:
-- string in quotes [=[ ... builtin_units ... ]=].
-- string in quotes [=[ ... builtin_units_long_scale ... ]=].
-- First string, builtin_units, is short-scale, second string is long scale.
-- Entry format:
-- One record per line, starting in first column, having 2-4 fields.
-- Field separator: two or more spaces
-- Between first and second fields: two or more spaces
-- Between all other fields: two or more spaces, or one or more tabs
-- Entries without two spaces in them are ignored.
-- There must be a blank line before the first entry and after the last.
-- I.e. the first two and last two characters of the string must be newlines.
-- Format of entry. Two record types:
--
-- One record type is a wikilink:
-- Unit-code [[ pagename | Symbol-accepts-HTML-only ]]
-- Text-field separator is still two spaces. Two spaces not allowed in wikilink.
--
-- The other record type is all fields:
-- Unit-code symbol-accepts-HTML-only pagename#section-OK
--
-- Plus there is an optional field that goes at the end after two or more spaces.
-- Whether it is a number or an equation or the letters SI,
-- any of these three has the same function: a wikitable sorting "scale".
-- It is for sorting, and it works for either record type.
-- Difference is SI can't accept HTML. But SI correctly scales any SI prefix.
-- (Optional fields ALIAS and NOSPACE and ANGLE are for advanced users.)
-- "Invalid unit" error:
-- Using SI requires that the symbol equal unit-code, so never allows HTML.
-- Any difference between SI or symbol must be an SI prefix, such as k, M, or G.
-- A space at the end of an entry is an error. No space at each EOL.
local builtin_units = [=[
== Test ==
Foo [[Hz|<samp>Foo</samp>]]
Baz [[Hertz|baz<sub>0</sub>]]
Baz [[Kelvins|baz<sub>0</sub>]]
Bar [[Foobar|bar<abbr title="super duper">0</abbr>]]
quux [[Foobar|<span title="super duper 2">bar0</span>]]
== Unsorted units ==
c0 [[Velocità della luce|''c''<sub>0</sub>]]
C.mol-1 [[Costante di Faraday|C⋅mol<sup>−1</sup>]]
C/mol [[Costante di Faraday|C/mol]]
C.kg-1 [[Röntgen (unità di misura)|C⋅kg<sup>−1</sup>]]
C/kg [[Röntgen (unità di misura)|C/kg]]
F.m-1 [[Costante dielettrica del vuoto|F⋅m<sup>−1</sup>]]
F/m [[Costante dielettrica del vuoto|F/m]]
e [[Carica elementaree|''e'']]
kB [[Kilobyte|kB]] 8e3
MB [[Megabyte|MB]] 8e6
GB [[Gigabyte|GB]] 8e9
TB [[Terabyte|TB]] 8e12
lx [[Lux|lx]]
== Time and frequency ==
byte/s [[Data rate units|byte/s]] 8
kB/s [[Kilobit per secondo|<span title="Kilobytes per second">kB/s</span>]] 8e3
MB/s [[Megabit per secondo|<span title="Megabytes per second">MB/s</span>]] 8e6
GB/s [[Gigabit per secondo|<span title="Gigabytes per second">GB/s</span>]] 8e9
TB/s [[Terabit per secondo|<span title="Terabytes per second">TB/s</span>]] 8e12
bit/s [[Bit per secondo|bit/s]] 1
bps [[Bit per secondo|bit/s]] 1
kbit/s [[Kilobit per secondo|kbit/s]] 1e3
Mbit/s [[Megabit per secondo|Mbit/s]] 1e6
Gbit/s [[Gigabit per secondo|Gbit/s]] 1e9
Tbit/s [[Terabit per secondo|Tbit/s]] 1e12
kT/s [[MT/s|<span title="Kilotransfers per secondo">kT/s</span>]] 1e3
MT/s [[MT/s|<span title="Megatransfers per secondo">MT/s</span>]] 1e6
GT/s [[MT/s|<span title="Gigatransfers per secondo">GT/s</span>]] 1e9
kyr [[anno|kyr]] 31557600000
kya [[anno|kya]] 31557600000
myr [[anno|myr]] 31557600000000
mya [[anno|mya]] 31557600000000
byr [[anno|byr]] 31557600000000000
bya [[anno|bya]] 31557600000000000
Gyr [[anno|Gyr]] 31557600000000000
BP [[Before present|BP]]
uBP [[Metodo del carbonio-14|<sup>14</sup>C yr BP]]
BC [[Avanti Cristo|a.C.]] -1
a.C. [[Avanti Cristo|a.C.]] -1
AD [[Anno Domini|A.D.]] 1
BCE [[Era volgare|e.v.]] -1
CE [[Era volgare|CE]] 1
e.v. [[Era volgare|CE]] 1
JD [[Giorno giuliano|JD]] 1
s-1 [[Secondo|s<sup>−1</sup>]]
s-2 [[Secondo|s<sup>−2</sup>]]
s2 [[Secondo|s<sup>2</sup>]]
== Length, area, volume ==
fb-1 [[Barn|fb<sup>−1</sup>]]
Gal [[Gal|Gal]] SI
uGal [[Gal|µGal]] SI
µGal [[Gal|µGal]] SI
mGal [[Gal|mGal]] SI
b [[Barn|b]] SI
ab [[Barn|b]] SI
cb [[Barn|b]] SI
dab [[Barn|b]] SI
db [[Barn|b]] SI
Eb [[Barn|b]] SI
fb [[Barn|b]] SI
Gb [[Barn|b]] SI
hb [[Barn|b]] SI
kb [[Barn|b]] SI
mb [[Barn|b]] SI
µb [[Barn|b]] SI
ub [[Barn|b]] SI
Mb [[Barn|b]] SI
nb [[Barn|b]] SI
pb [[Barn|b]] SI
Pb [[Barn|b]] SI
Tb [[Barn|b]] SI
Yb [[Barn|b]] SI
yb [[Barn|b]] SI
Zb [[Barn|b]] SI
zb [[Barn|b]] SI
== Velocity and acceleration ==
== Mass and energy ==
lbm [[Pound (mass)|<span title="pound-mass">lb<sub>m</sub></span>]]
uJ [[Joule|µJ]]
J.s [[Joule-second|J⋅s]]
kWh [[Kilowatt hour|kWh]]
kW.h [[Kilowatt hour|kW⋅h]]
J/C [[Volt|J/C]]
J/kg [[Joule|J/kg]]
== Pressure and density ==
== Temperature ==
degC °C ALIAS
degF °F ALIAS
degR °R ALIAS
== Electromagnetism ==
Wb [[Weber (unità di misura)|Wb]]
N.A-2 [[Permeabilità magnetica|N⋅A<sup>−2</sup>]]
H.m-1 [[Permeabilità magnetica|H⋅m<sup>−1</sup>]]
V.m-1 [[Campo elettrico|V⋅m<sup>−1</sup>]]
V/m [[Campo elettrico|V/m]]
C [[Coulomb|C]] SI
YC [[Coulomb|C]] SI
ZC [[Coulomb|C]] SI
EC [[Coulomb|C]] SI
PC [[Coulomb|C]] SI
TC [[Coulomb|C]] SI
GC [[Coulomb|C]] SI
MC [[Coulomb|C]] SI
kC [[Coulomb|C]] SI
hC [[Coulomb|C]] SI
daC [[Coulomb|C]] SI
dC [[Coulomb|C]] SI
cC [[Coulomb|C]] SI
mC [[Coulomb|C]] SI
µC [[Coulomb|C]] SI
uC [[Coulomb|C]] SI
nC [[Coulomb|C]] SI
pC [[Coulomb|C]] SI
fC [[Coulomb|C]] SI
aC [[Coulomb|C]] SI
zC [[Coulomb|C]] SI
yC [[Coulomb|C]] SI
F [[Farad|F]] SI
YF [[Farad|F]] SI
ZF [[Farad|F]] SI
EF [[Farad|F]] SI
PF [[Farad|F]] SI
TF [[Farad|F]] SI
GF [[Farad|F]] SI
MF [[Farad|F]] SI
kF [[Farad|F]] SI
hF [[Farad|F]] SI
daF [[Farad|F]] SI
dF [[Farad|F]] SI
cF [[Farad|F]] SI
mF [[Farad|F]] SI
µF [[Farad|F]] SI
uF [[Farad|F]] SI
nF [[Farad|F]] SI
pF [[Farad|F]] SI
fF [[Farad|F]] SI
aF [[Farad|F]] SI
zF [[Farad|F]] SI
yF [[Farad|F]] SI
H [[Henry (unità di misura)|H]] SI
YH [[Henry (unità di misura)|H]] SI
ZH [[Henry (unità di misura)|H]] SI
EH [[Henry (unità di misura)|H]] SI
PH [[Henry (unità di misura)|H]] SI
TH [[Henry (unità di misura)|H]] SI
GH [[Henry (unità di misura)|H]] SI
MH [[Henry (unità di misura)|H]] SI
kH [[Henry (unità di misura)|H]] SI
hH [[Henry (unità di misura)|H]] SI
daH [[Henry (unità di misura)|H]] SI
dH [[Henry (unità di misura)|H]] SI
cH [[Henry (unità di misura)|H]] SI
mH [[Henry (unità di misura)|H]] SI
µH [[Henry (unità di misura)|H]] SI
uH [[Henry (unità di misura)|H]] SI
nH [[Henry (unità di misura)|H]] SI
pH [[Henry (unità di misura)|H]] SI
fH [[Henry (unità di misura)|H]] SI
aH [[Henry (unità di misura)|H]] SI
zH [[Henry (unità di misura)|H]] SI
yH [[Henry (unità di misura)|H]] SI
A [[Ampere|A]] SI
YA [[Ampere|A]] SI
ZA [[Ampere|A]] SI
EA [[Ampere|A]] SI
PA [[Ampere|A]] SI
TA [[Ampere|A]] SI
GA [[Ampere|A]] SI
MA [[Ampere|A]] SI
kA [[Ampere|A]] SI
hA [[Ampere|A]] SI
daA [[Ampere|A]] SI
dA [[Ampere|A]] SI
cA [[Ampere|A]] SI
mA [[Ampere|A]] SI
µA [[Ampere|A]] SI
uA [[Ampere|A]] SI
nA [[Ampere|A]] SI
pA [[Ampere|A]] SI
fA [[Ampere|A]] SI
aA [[Ampere|A]] SI
zA [[Ampere|A]] SI
yA [[Ampere|A]] SI
V [[Volt|V]] SI
YV [[Volt|V]] SI
ZV [[Volt|V]] SI
EV [[Volt|V]] SI
PV [[Volt|V]] SI
TV [[Volt|V]] SI
GV [[Volt|V]] SI
MV [[Volt|V]] SI
kV [[Volt|V]] SI
hV [[Volt|V]] SI
daV [[Volt|V]] SI
dV [[Volt|V]] SI
cV [[Volt|V]] SI
mV [[Volt|V]] SI
µV [[Volt|V]] SI
uV [[Volt|V]] SI
nV [[Volt|V]] SI
pV [[Volt|V]] SI
fV [[Volt|V]] SI
aV [[Volt|V]] SI
zV [[Volt|V]] SI
yV [[Volt|V]] SI
VA [[Voltampere|VA]] SI
YVA [[Voltampere|VA]] SI
ZVA [[Voltampere|VA]] SI
EVA [[Voltampere|VA]] SI
PVA [[Voltampere|VA]] SI
TVA [[Voltampere|VA]] SI
GVA [[Voltampere|VA]] SI
MVA [[Voltampere|VA]] SI
kVA [[Voltampere|VA]] SI
hVA [[Voltampere|VA]] SI
daVA [[Voltampere|VA]] SI
dVA [[Voltampere|VA]] SI
cVA [[Voltampere|VA]] SI
mVA [[Voltampere|VA]] SI
µVA [[Voltampere|VA]] SI
uVA [[Voltampere|VA]] SI
nVA [[Voltampere|VA]] SI
pVA [[Voltampere|VA]] SI
fVA [[Voltampere|VA]] SI
aVA [[Voltampere|VA]] SI
zVA [[Voltampere|VA]] SI
yVA [[Voltampere|VA]] SI
R [[Rayleigh (unità di misura)|R]] SI
== Astrophysics ==
au [[Astronomical unit|au]]
c [[Speed of light|''c'']]
ly [[Light-year|ly]]
Earth mass [[Earth mass|''M''<sub>⊕</sub>]]
Earth radius [[Earth radius|''R''<sub>⊕</sub>]]
M_Earth [[Earth mass|''M''<sub>⊕</sub>]]
R_Earth [[Earth radius|''R''<sub>⊕</sub>]]
M+ [[Earth mass|''M''<sub>⊕</sub>]]
R+ [[Earth radius|''R''<sub>⊕</sub>]]
Jupiter mass [[Jupiter mass|''M''<sub>J</sub>]]
Jupiter radius [[Jupiter radius|''R''<sub>J</sub>]]
M_Jupiter [[Jupiter mass|''M''<sub>J</sub>]]
R_Jupiter [[Jupiter radius|''R''<sub>J</sub>]]
Solar mass [[Solar mass|''M''<sub>☉</sub>]]
solar mass [[Solar mass|''M''<sub>☉</sub>]]
M_Solar [[Solar mass|''M''<sub>☉</sub>]]
M_solar [[Solar mass|''M''<sub>☉</sub>]]
R_Solar [[Solar radius|''R''<sub>☉</sub>]]
R_solar [[Solar radius|''R''<sub>☉</sub>]]
Solar radius [[Solar radius|''R''<sub>☉</sub>]]
solar radius [[Solar radius|''R''<sub>☉</sub>]]
Solar luminosity [[Solar luminosity|''L''<sub>☉</sub>]]
solar luminosity [[Solar luminosity|''L''<sub>☉</sub>]]
L_solar [[Solar luminosity|''L''<sub>☉</sub>]]
L_Solar [[Solar luminosity|''L''<sub>☉</sub>]]
Lo [[Solar luminosity|''L''<sub>☉</sub>]]
pc2 [[Parsec|pc<sup>2</sup>]]
pc3 [[Parsec|pc<sup>3</sup>]]
kpc2 [[Parsec#Parsecs and kiloparsecs|kpc<sup>2</sup>]]
kpc3 [[Parsec#Parsecs and kiloparsecs|kpc<sup>3</sup>]]
kpc [[Parsec#Parsecs and kiloparsecs|kpc]]
Mpc2 [[Parsec#Megaparsecs and gigaparsecs|Mpc<sup>2</sup>]]
Mpc3 [[Parsec#Megaparsecs and gigaparsecs|Mpc<sup>3</sup>]]
Mpc [[Parsec#Megaparsecs and gigaparsecs|Mpc]]
Gpc2 [[Parsec#Megaparsecs and gigaparsecs|Gpc<sup>2</sup>]]
Gpc3 [[Parsec#Megaparsecs and gigaparsecs|Gpc<sup>3</sup>]]
Gpc [[Parsec#Megaparsecs and gigaparsecs|Gpc]]
== Nuclear physics and chemistry ==
cm-1 [[Wavenumber|cm<sup>−1</sup>]]
u [[Unified atomic mass unit|u]]
osmol [[Osmole (unit)|osmol]]
Osm [[Osmole (unit)|Osm]]
M [[Molarity|M]]
TM [[Molarity|M]] SI
GM [[Molarity|M]] SI
MM [[Molarity|M]] SI
kM [[Molarity|M]] SI
hM [[Molarity|M]] SI
daM [[Molarity|M]] SI
dM [[Molarity|M]] SI
cM [[Molarity|M]] SI
mM [[Molarity|M]] SI
uM [[Molarity|M]] 1e-6
nM [[Molarity|M]] SI
pM [[Molarity|M]] SI
kg.mol-1 [[Molar mass|kg⋅mol<sup>−1</sup>]]
kg/mol [[Molar mass|M]]
g.mol-1 [[Molar mass|g⋅mol<sup>−1</sup>]]
g/mol [[Molar mass|g/mol]]
eV/c2 [[Electronvolt#Mass|eV/''c''<sup>2</sup>]]
keV/c2 [[Electronvolt#Mass|keV/''c''<sup>2</sup>]]
MeV/c2 [[Electronvolt#Mass|MeV/''c''<sup>2</sup>]]
GeV/c2 [[Electronvolt#Mass|GeV/''c''<sup>2</sup>]]
TeV/c2 [[Electronvolt#Mass|TeV/''c''<sup>2</sup>]]
µN [[Nuclear magneton|µ<span style="display:inline-block;margin-bottom:-0.3em;vertical-align:-0.4em;line-height:1.2em;font-size:85%;text-align:left"><br />N</span>]]
µB [[Bohr magneton|µ<span style="display:inline-block;margin-bottom:-0.3em;vertical-align:-0.4em;line-height:1.2em;font-size:85%;text-align:left"><br />B</span>]]
eV [[Electronvolt|eV]]
mev [[Electronvolt|meV]]
keV [[Electronvolt|keV]]
MeV [[Electronvolt|MeV]]
GeV [[Electronvolt|GeV]]
TeV [[Electronvolt|TeV]]
mol-1 [[Avogadro constant|mol<sup>−1</sup>]]
J.mol-1 [[Joule per mole|J⋅mol<sup>−1</sup>]]
J/mol [[Joule per mole|J/mol]]
kJ.mol-1 [[Joule per mole|kJ⋅mol<sup>−1</sup>]]
kJ/mol [[Joule per mole|kJ/mol]]
MJ.mol-1 [[Joule per mole|MJ⋅mol<sup>−1</sup>]]
MJ/mol [[Joule per mole|MJ/mol]]
GJ.mol-1 [[Joule per mole|GJ⋅mol<sup>−1</sup>]]
GJ/mol [[Joule per mole|GJ/mol]]
TJ.mol-1 [[Joule per mole|TJ⋅mol<sup>−1</sup>]]
TJ/mol [[Joule per mole|TJ/mol]]
== Numbers and phrases ==
pp [[Page (paper)|pp]]
ppb [[Parts per billion|ppb]] 1e-9
ppm [[Parts per million|ppm]] 1e-6
billiard [[Orders of magnitude (numbers)#1015|billiard]] 1e15
billion [[1,000,000,000|billion]] 1e9
billionth [[1,000,000,000|billionth]] 1e-9
billionths [[1,000,000,000|billionths]] 1e-9
decilliard [[Orders of magnitude (numbers)#1063|decilliard]] 1e63
decillion [[Orders of magnitude (numbers)#1033|decillion]] 1e33
decillionth [[Orders of magnitude (numbers)#1033|decillionth]] 1e-33
decillionths [[Orders of magnitude (numbers)#1033|decillionths]] 1e-33
milliard [[1,000,000,000|milliard]] 1e9
million [[Million|million]] 1e6
millionth [[Million|millionth]] 1e-6
millionths [[Million|millionths]] 1e-6
nonilliard [[Orders of magnitude (numbers)#1057|nonilliard]] 1e57
nonillion [[Orders of magnitude (numbers)#1030|nonillion]] 1e30
nonillionth [[Orders of magnitude (numbers)#1030|nonillionth]] 1e-30
nonillionths [[Orders of magnitude (numbers)#1030|nonillionths]] 1e-30
octilliard [[Orders of magnitude (numbers)#1051|octilliard]] 1e51
octillion [[Orders of magnitude (numbers)#1027|octillion]] 1e27
octillionth [[Orders of magnitude (numbers)#1027|octillionth]] 1e-27
octillionths [[Orders of magnitude (numbers)#1027|octillionths]] 1e-27
quadrilliard [[Orders of magnitude (numbers)#1027|quadrilliard]] 1e27
quadrillion [[Orders of magnitude (numbers)#1015|quadrillion]] 1e15
quadrillionth [[Orders of magnitude (numbers)#1015|quadrillionth]] 1e-15
quadrillionths [[Orders of magnitude (numbers)#1015|quadrillionths]] 1e-15
quintilliard [[Orders of magnitude (numbers)#1033|quintilliard]] 1e33
quintillion [[Orders of magnitude (numbers)#1018|quintillion]] 1e18
quintillionth [[Orders of magnitude (numbers)#1018|quintillionth]] 1e-18
quintillionths [[Orders of magnitude (numbers)#1018|quintillionths]] 1e-18
septilliard [[Orders of magnitude (numbers)#1045|septilliard]] 1e45
septillion [[Orders of magnitude (numbers)#1024|septillion]] 1e24
septillionth [[Orders of magnitude (numbers)#1024|septillionth]] 1e-24
septillionths [[Orders of magnitude (numbers)#1024|septillionths]] 1e-24
sextilliard [[Orders of magnitude (numbers)#1039|sextilliard]] 1e39
sextillion [[Orders of magnitude (numbers)#1021|sextillion]] 1e21
sextillionth [[Orders of magnitude (numbers)#1021|sextillionth]] 1e-21
sextillionths [[Orders of magnitude (numbers)#1021|sextillionths]] 1e-21
trilliard [[Orders of magnitude (numbers)#1021|trilliard]] 1e21
trillion [[Orders of magnitude (numbers)#1012|trillion]] 1e12
trillionth [[Orders of magnitude (numbers)#1012|trillionth]] 1e-12
trillionths [[Orders of magnitude (numbers)#1012|trillionths]] 1e-12
== Angles ==
% % Percent ANGLE 0.01
percent % Percent ANGLE 0.01
per cent % Percent ANGLE 0.01
‰ ‰ Per mil ANGLE 1e-3
per mil ‰ Per mil ANGLE 1e-3
per mill ‰ Per mil ANGLE 1e-3
per mille ‰ Per mil ANGLE 1e-3
permil ‰ Per mil ANGLE 1e-3
permill ‰ Per mil ANGLE 1e-3
permille ‰ Per mil ANGLE 1e-3
° ° Degree (angle) ANGLE pi/180
deg ° Degree (angle) ANGLE pi/180
' ′ Minute of arc ANGLE pi/10800
′ ′ Minute of arc ANGLE pi/10800
arcmin ′ Minute of arc ANGLE pi/10800
arcminute ′ Minute of arc ANGLE pi/10800
" ″ Second of arc ANGLE pi/648000
″ ″ Second of arc ANGLE pi/648000
arcsec ″ Second of arc ANGLE pi/648000
arcsecond ″ Second of arc ANGLE pi/648000
mas [[Milliarcsecond|mas]] pi/648000000
]=]
-- If val has "|long scale=on" the following definitions are used
-- (then, if not found here, the normal definitions are used).
-- Unit code [[Link|Symbol]] Flags/Scale
local builtin_units_long_scale = [=[
== Long scale numbers and phrases ==
billion [[Orders of magnitude (numbers)#1012|billion]] 1e12
billionth [[Orders of magnitude (numbers)#1012|billionth]] 1e-12
billionths [[Orders of magnitude (numbers)#1012|billionths]] 1e-12
decillion [[Orders of magnitude (numbers)#1060|decillion]] 1e60
decillionth [[Orders of magnitude (numbers)#1060|decillionth]] 1e-60
decillionths [[Orders of magnitude (numbers)#1060|decillionths]] 1e-60
nonillion [[Orders of magnitude (numbers)#1054|nonillion]] 1e54
nonillionth [[Orders of magnitude (numbers)#1054|nonillionth]] 1e-54
nonillionths [[Orders of magnitude (numbers)#1054|nonillionths]] 1e-54
octillion [[Orders of magnitude (numbers)#1048|octillion]] 1e48
octillionth [[Orders of magnitude (numbers)#1048|octillionth]] 1e-48
octillionths [[Orders of magnitude (numbers)#1048|octillionths]] 1e-48
quadrillion [[Orders of magnitude (numbers)#1024|quadrillion]] 1e24
quadrillionth [[Orders of magnitude (numbers)#1024|quadrillionth]] 1e-24
quadrillionths [[Orders of magnitude (numbers)#1024|quadrillionths]] 1e-24
quintillion [[Orders of magnitude (numbers)#1030|quintillion]] 1e30
quintillionth [[Orders of magnitude (numbers)#1030|quintillionth]] 1e-30
quintillionths [[Orders of magnitude (numbers)#1030|quintillionths]] 1e-30
septillion [[Orders of magnitude (numbers)#1042|septillion]] 1e42
septillionth [[Orders of magnitude (numbers)#1042|septillionth]] 1e-42
septillionths [[Orders of magnitude (numbers)#1042|septillionths]] 1e-42
sextillion [[Orders of magnitude (numbers)#1036|sextillion]] 1e36
sextillionth [[Orders of magnitude (numbers)#1036|sextillionth]] 1e-36
sextillionths [[Orders of magnitude (numbers)#1036|sextillionths]] 1e-36
trillion [[Orders of magnitude (numbers)#1018|trillion]] 1e18
trillionth [[Orders of magnitude (numbers)#1018|trillionth]] 1e-18
trillionths [[Orders of magnitude (numbers)#1018|trillionths]] 1e-18
]=]
return { builtin_units = builtin_units, builtin_units_long_scale = builtin_units_long_scale }
