: cd ( n -- dimensioned ) { cd } { } <dimensioned> ;
! SI derived units
-: m^2 { m m } { } <dimensioned> ;
-: m^3 { m m m } { } <dimensioned> ;
-: m/s { m } { s } <dimensioned> ;
-: m/s^2 { m } { s s } <dimensioned> ;
-: 1/m { } { m } <dimensioned> ;
-: kg/m^3 { kg } { m m m } <dimensioned> ;
-: A/m^2 { A } { m m } <dimensioned> ;
-: A/m { A } { m } <dimensioned> ;
-: mol/m^3 { mol } { m m m } <dimensioned> ;
-: cd/m^2 { cd } { m m } <dimensioned> ;
-: kg/kg { kg } { kg } <dimensioned> ;
-
-: radians ( n -- radian ) { m } { m } <dimensioned> ;
-: sr ( n -- steradian ) { m m } { m m } <dimensioned> ;
+: m^2 ( n -- dimensioned ) { m m } { } <dimensioned> ;
+: m^3 ( n -- dimensioned ) { m m m } { } <dimensioned> ;
+: m/s ( n -- dimensioned ) { m } { s } <dimensioned> ;
+: m/s^2 ( n -- dimensioned ) { m } { s s } <dimensioned> ;
+: 1/m ( n -- dimensioned ) { } { m } <dimensioned> ;
+: kg/m^3 ( n -- dimensioned ) { kg } { m m m } <dimensioned> ;
+: A/m^2 ( n -- dimensioned ) { A } { m m } <dimensioned> ;
+: A/m ( n -- dimensioned ) { A } { m } <dimensioned> ;
+: mol/m^3 ( n -- dimensioned ) { mol } { m m m } <dimensioned> ;
+: cd/m^2 ( n -- dimensioned ) { cd } { m m } <dimensioned> ;
+: kg/kg ( n -- dimensioned ) { kg } { kg } <dimensioned> ;
+
+! Radians are really m/m, and steradians are m^2/m^2
+! but they need to be in reduced form here.
+: radians ( n -- radian ) scalar ;
+: sr ( n -- steradian ) scalar ;
+
: Hz ( n -- hertz ) { } { s } <dimensioned> ;
: N ( n -- newton ) { kg m } { s s } <dimensioned> ;
: Pa ( n -- pascal ) { kg } { m s s } <dimensioned> ;
: V ( n -- volt ) { m m kg } { s s s A } <dimensioned> ;
: F ( n -- farad ) { s s s s A A } { m m kg } <dimensioned> ;
: ohm ( n -- ohm ) { m m kg } { s s s A A } <dimensioned> ;
+ALIAS: Ω ohm
: S ( n -- siemens ) { s s s A A } { m m kg } <dimensioned> ;
: Wb ( n -- weber ) { m m kg } { s s A } <dimensioned> ;
: T ( n -- tesla ) { kg } { s s A } <dimensioned> ;
: H ( n -- henry ) { m m kg } { s s A A } <dimensioned> ;
: deg-C ( n -- Celsius ) 27315/100 + { K } { } <dimensioned> ;
+ALIAS: °C deg-C
: lm ( n -- lumen ) { m m cd } { m m } <dimensioned> ;
-: lx ( n -- lux ) { m m cd } { m m m m } <dimensioned> ;
+: lx ( n -- lux ) { m m cd } { m m m m } <dimensioned> ;
: Bq ( n -- becquerel ) { } { s } <dimensioned> ;
: Gy ( n -- gray ) { m m } { s s } <dimensioned> ;
: Sv ( n -- sievert ) { m m } { s s } <dimensioned> ;
: kat ( n -- katal ) { mol } { s } <dimensioned> ;
! Extensions to the SI
-: arc-deg pi 180 / * radians ;
-: arc-min pi 10800 / * radians ;
-: arc-sec pi 648000 / * radians ;
+: arc-deg ( n -- x ) pi 180 / * radians ;
+: arc-min ( n -- x ) pi 10800 / * radians ;
+: arc-sec ( n -- x ) pi 648000 / * radians ;
: L ( n -- liter ) 1/1000 * m^3 ;
+ALIAS: l L
: tons ( n -- metric-ton ) 1000 * kg ;
: Np ( n -- neper ) { } { } <dimensioned> ;
: B ( n -- bel ) 1.151292546497023 * Np ;
: eV ( n -- electronvolt ) 1.60218e-19 * J ;
-: u ( n -- unified-atomic-mass-unit ) 1.66054e-27 * kg ;
+: u ( n -- unified-atomic-mass-unit ) 1.660539040e-27 * kg ;
! au has error of 30m, according to wikipedia
: au ( n -- astronomical-unit ) 149597870691 * m ;
: a ( n -- are ) 100 * m^2 ;
: ha ( n -- hectare ) 10000 * m^2 ;
+: km^2 ( n -- dimensioned ) 1000000 * m^2 ;
: bar ( n -- bar ) 100000 * Pa ;
: b ( n -- barn ) 1/10000000000000000000000000000 * m^2 ;
: Ci ( n -- curie ) 37000000000 * Bq ;
-: R 258/10000 { s A } { kg } <dimensioned> ;
-: rad 100 / Gy ;
+: R ( -- dimensioned ) 258/10000 { s A } { kg } <dimensioned> ;
+: rad ( n -- dimensioned ) 100 / Gy ;
! roentgen equivalent man, equal to one roentgen of X-rays
-: roentgen-equivalent-man 100 / Sv ;
+: roentgen-equivalent-man ( n -- dimensioned ) 100 / Sv ;
! inaccurate, use calendar where possible
-: minutes 60 * s ;
-: hours 60 * minutes ;
-: days 24 * hours ;
-
-! Y Z E P T G M k h da 1 d c m mu n p f a z y
-: yotta 1000000000000000000000000 * ;
-: zetta 1000000000000000000000 * ;
-: exa 1000000000000000000 * ;
-: peta 1000000000000000 * ;
-: tera 1000000000000 * ;
-: giga 1000000000 * ;
-: mega 1000000 * ;
-: kilo 1000 * ;
-: hecto 100 * ;
-: deca 10 * ;
-: deci 10 / ;
-: centi 100 / ;
-: milli 1000 / ;
-: micro 1000000 / ;
-: nano 1000000000 / ;
-: pico 1000000000000 / ;
-: femto 1000000000000000 / ;
-: atto 1000000000000000000 / ;
-: zepto 1000000000000000000000 / ;
-: yocto 1000000000000000000000000 / ;
-
-: km kilo m ;
-: cm centi m ;
-: mm milli m ;
-: nm nano m ;
-: g milli kg ;
-: ms milli s ;
-: angstrom 10 / nm ;
+: minutes ( n -- dimensioned ) 60 * s ;
+: hours ( n -- dimensioned ) 60 * minutes ;
+: days ( n -- dimensioned ) 24 * hours ;
+
+! Q R Y Z E P T G M k h da 1 d c m mu n p f a z y r q
+: quetta ( n -- x ) 1000000000000000000000000000000 * ;
+: ronna ( n -- x ) 1000000000000000000000000000 * ;
+: yotta ( n -- x ) 1000000000000000000000000 * ;
+: zetta ( n -- x ) 1000000000000000000000 * ;
+: exa ( n -- x ) 1000000000000000000 * ;
+: peta ( n -- x ) 1000000000000000 * ;
+: tera ( n -- x ) 1000000000000 * ;
+: giga ( n -- x ) 1000000000 * ;
+: mega ( n -- x ) 1000000 * ;
+: kilo ( n -- x ) 1000 * ;
+: hecto ( n -- x ) 100 * ;
+: deca ( n -- x ) 10 * ;
+: deci ( n -- x ) 10 / ;
+: centi ( n -- x ) 100 / ;
+: milli ( n -- x ) 1000 / ;
+: micro ( n -- x ) 1000000 / ;
+: nano ( n -- x ) 1000000000 / ;
+: pico ( n -- x ) 1000000000000 / ;
+: femto ( n -- x ) 1000000000000000 / ;
+: atto ( n -- x ) 1000000000000000000 / ;
+: zepto ( n -- x ) 1000000000000000000000 / ;
+: yocto ( n -- x ) 1000000000000000000000000 / ;
+: ronto ( n -- x ) 1000000000000000000000000000 / ;
+: quecto ( n -- x ) 1000000000000000000000000000000 / ;
+
+! Yi Zi Ei Pi Ti Gi Mi Ki
+: yobi ( n -- x ) 1208925819614629174706176 * ;
+: zebi ( n -- x ) 1180591620717411303424 * ;
+: exbi ( n -- x ) 1152921504606846976 * ;
+: pebi ( n -- x ) 1125899906842624 * ;
+: tebi ( n -- x ) 1099511627776 * ;
+: gibi ( n -- x ) 1073741824 * ;
+: mebi ( n -- x ) 1048576 * ;
+: kibi ( n -- x ) 1024 * ;
+
+ALIAS: Yi yobi
+ALIAS: Zi zebi
+ALIAS: Ei exbi
+ALIAS: Pi pebi
+ALIAS: Ti tebi
+ALIAS: Gi gibi
+ALIAS: Mi mebi
+ALIAS: Ki kibi
+
+: km ( n -- dimensioned ) kilo m ;
+: cm ( n -- dimensioned ) centi m ;
+: mm ( n -- dimensioned ) milli m ;
+: nm ( n -- dimensioned ) nano m ;
+: g ( n -- dimensioned ) milli kg ;
+: ms ( n -- dimensioned ) milli s ;
+: angstrom ( n -- dimensioned ) 10 / nm ;
+ALIAS: Å angstrom