From: Jay Belanger Date: Wed, 15 Aug 2007 15:42:58 +0000 (+0000) Subject: (math-standard-units): Update values. Put in exact values when X-Git-Tag: emacs-pretest-23.0.90~11498 X-Git-Url: http://git.eshelyaron.com/gitweb/?a=commitdiff_plain;h=a21f3259fd6496941758b303448eb580f7edae07;p=emacs.git (math-standard-units): Update values. Put in exact values when possible. (math-unit-prefixes): Replace floats with powers of ten. (math-standard-units-systems): Replace floats with integers. (math-make-unit-string): Remove extra spaces in output. --- diff --git a/lisp/calc/calc-units.el b/lisp/calc/calc-units.el index e225d2d0b09..ae94fc43ae1 100644 --- a/lisp/calc/calc-units.el +++ b/lisp/calc/calc-units.el @@ -40,45 +40,47 @@ ;;; with some additions by Przemek Klosowski (przemek@rrdstrad.nist.gov) ;;; Updated April 2002 by Jochen Küpper -;;; for CODATA 1998 see one of -;;; - Journal of Physical and Chemical Reference Data, 28(6), 1713-1852, 1999. -;;; - Reviews of Modern Physics, 72(2), 351-495, 2000. -;;; for CODATA 2005 see -;;; - http://physics.nist.gov/cuu/Constants/index.html +;;; Updated August 2007, using +;;; CODATA (http://physics.nist.gov/cuu/Constants/index.html) +;;; NIST (http://physics.nist.gov/Pubs/SP811/appenB9.html) +;;; ESUWM (Encyclopaedia of Scientific Units, Weights and +;;; Measures, by François Cardarelli) +;;; All conversions are exact unless otherwise noted. (defvar math-standard-units '( ;; Length ( m nil "*Meter" ) - ( in "2.54 cm" "Inch" ) + ( in "254*10^(-2) cm" "Inch" ) ( ft "12 in" "Foot" ) ( yd "3 ft" "Yard" ) ( mi "5280 ft" "Mile" ) - ( au "149597870691 m" "Astronomical Unit" ) ;; NASA JPL (http://neo.jpl.nasa.gov/glossary/au.html) - ( lyr "9460536207068016 m" "Light Year" ) - ( pc "206264.80625 au" "Parsec" ) + ( au "149597870691. m" "Astronomical Unit" ) + ;; (approx) NASA JPL (http://neo.jpl.nasa.gov/glossary/au.html) + ( lyr "c yr" "Light Year" ) + ( pc "3.0856775854e16 m" "Parsec" ) ;; (approx) ESUWM ( nmi "1852 m" "Nautical Mile" ) ( fath "6 ft" "Fathom" ) ( mu "1 um" "Micron" ) ( mil "in/1000" "Mil" ) ( point "in/72" "Point (1/72 inch)" ) - ( Ang "1e-10 m" "Angstrom" ) + ( Ang "10^(-10) m" "Angstrom" ) ( mfi "mi+ft+in" "Miles + feet + inches" ) ;; TeX lengths - ( texpt "in/72.27" "Point (TeX conventions)" ) + ( texpt "(100/7227) in" "Point (TeX conventions)" ) ( texpc "12 texpt" "Pica" ) ( texbp "point" "Big point (TeX conventions)" ) - ( texdd "1238/1157 texpt" "Didot point" ) + ( texdd "(1238/1157) texpt" "Didot point" ) ( texcc "12 texdd" "Cicero" ) - ( texsp "1/66536 texpt" "Scaled TeX point" ) + ( texsp "(1/65536) texpt" "Scaled TeX point" ) ;; Area ( hect "10000 m^2" "*Hectare" ) ( a "100 m^2" "Are") ( acre "mi^2 / 640" "Acre" ) - ( b "1e-28 m^2" "Barn" ) + ( b "10^(-28) m^2" "Barn" ) ;; Volume - ( L "1e-3 m^3" "*Liter" ) + ( L "10^(-3) m^3" "*Liter" ) ( l "L" "Liter" ) ( gal "4 qt" "US Gallon" ) ( qt "2 pt" "Quart" ) @@ -87,10 +89,10 @@ ( ozfl "2 tbsp" "Fluid Ounce" ) ( floz "2 tbsp" "Fluid Ounce" ) ( tbsp "3 tsp" "Tablespoon" ) - ( tsp "4.92892159375 ml" "Teaspoon" ) + ( tsp "4.92892159373 ml" "Teaspoon" ) ;; (approx) ESUWM ( vol "tsp+tbsp+ozfl+cup+pt+qt+gal" "Gallons + ... + teaspoons" ) - ( galC "4.54609 L" "Canadian Gallon" ) - ( galUK "4.546092 L" "UK Gallon" ) + ( galC "galUK" "Canadian Gallon" ) + ( galUK "454609*10^(-5) L" "UK Gallon" ) ;; NIST ;; Time ( s nil "*Second" ) @@ -100,44 +102,44 @@ ( day "24 hr" "Day" ) ( wk "7 day" "Week" ) ( hms "wk+day+hr+min+s" "Hours, minutes, seconds" ) - ( yr "365.25 day" "Year" ) + ( yr "365.25 day" "Year" ) ;; (approx, but keep) ( Hz "1/s" "Hertz" ) ;; Speed ( mph "mi/hr" "*Miles per hour" ) ( kph "km/hr" "Kilometers per hour" ) ( knot "nmi/hr" "Knot" ) - ( c "299792458 m/s" "Speed of light" ) ;;; CODATA 2005 + ( c "299792458 m/s" "Speed of light" ) ;;; CODATA ;; Acceleration - ( ga "9.80665 m/s^2" "*\"g\" acceleration" ) ;; CODATA 2005 + ( ga "980665*10^(-5) m/s^2" "*\"g\" acceleration" ) ;; CODATA ;; Mass ( g nil "*Gram" ) ( lb "16 oz" "Pound (mass)" ) - ( oz "28.349523125 g" "Ounce (mass)" ) + ( oz "28349523125*10^(-9) g" "Ounce (mass)" ) ;; ESUWM ( ton "2000 lb" "Ton" ) ( tpo "ton+lb+oz" "Tons + pounds + ounces (mass)" ) ( t "1000 kg" "Metric ton" ) - ( tonUK "1016.0469088 kg" "UK ton" ) + ( tonUK "10160469088*10^(-7) kg" "UK ton" ) ;; ESUWM ( lbt "12 ozt" "Troy pound" ) - ( ozt "31.103475 g" "Troy ounce" ) - ( ct ".2 g" "Carat" ) - ( u "1.66053886e-27 kg" "Unified atomic mass" ) ;; CODATA 2005 + ( ozt "31.10347680 g" "Troy ounce" ) ;; (approx) ESUWM + ( ct "(2/10) g" "Carat" ) ;; ESUWM + ( u "1.660538782e-27 kg" "Unified atomic mass" );;(approx) CODATA ;; Force ( N "m kg/s^2" "*Newton" ) - ( dyn "1e-5 N" "Dyne" ) + ( dyn "10^(-5) N" "Dyne" ) ( gf "ga g" "Gram (force)" ) - ( lbf "4.44822161526 N" "Pound (force)" ) + ( lbf "ga lb" "Pound (force)" ) ( kip "1000 lbf" "Kilopound (force)" ) - ( pdl "0.138255 N" "Poundal" ) + ( pdl "138254954376*10^(-12) N" "Poundal" ) ;; ESUWM ;; Energy ( J "N m" "*Joule" ) - ( erg "1e-7 J" "Erg" ) - ( cal "4.1868 J" "International Table Calorie" ) - ( Btu "1055.05585262 J" "International Table Btu" ) + ( erg "10^(-7) J" "Erg" ) + ( cal "4.18674 J" "International Table Calorie" );;(approx) ESUWM + ( Btu "105505585262*10^(-8) J" "International Table Btu" ) ;; ESUWM ( eV "ech V" "Electron volt" ) ( ev "eV" "Electron volt" ) ( therm "105506000 J" "EEC therm" ) @@ -151,7 +153,7 @@ ;; Power ( W "J/s" "*Watt" ) - ( hp "745.7 W" "Horsepower" ) + ( hp "745.699871581 W" "Horsepower" ) ;;(approx) ESUWM ;; Temperature ( K nil "*Degree Kelvin" K ) @@ -164,24 +166,24 @@ ;; Pressure ( Pa "N/m^2" "*Pascal" ) - ( bar "1e5 Pa" "Bar" ) - ( atm "101325 Pa" "Standard atmosphere" ) ;; CODATA 2005 - ( Torr " 1.333224e2 Pa" "Torr" ) ;; NIST (http://physics.nist.gov/Pubs/SP811/appenB9.html) + ( bar "10^5 Pa" "Bar" ) + ( atm "101325 Pa" "Standard atmosphere" ) ;; CODATA + ( Torr "1.333224e2 Pa" "Torr" ) ;;(approx) NIST ( mHg "1000 Torr" "Meter of mercury" ) - ( inHg "25.4 mmHg" "Inch of mercury" ) - ( inH2O "2.490889e2 Pa" "Inch of water" ) ;; NIST (http://physics.nist.gov/Pubs/SP811/appenB9.html) - ( psi "6894.75729317 Pa" "Pound per square inch" ) + ( inHg "254*10^(-1) mmHg" "Inch of mercury" ) + ( inH2O "2.490889e2 Pa" "Inch of water" ) ;;(approx) NIST + ( psi "lbf/in^2" "Pounds per square inch" ) ;; Viscosity - ( P "0.1 Pa s" "*Poise" ) - ( St "1e-4 m^2/s" "Stokes" ) + ( P "(1/10) Pa s" "*Poise" ) + ( St "10^(-4) m^2/s" "Stokes" ) ;; Electromagnetism ( A nil "*Ampere" ) ( C "A s" "Coulomb" ) ( Fdy "ech Nav" "Faraday" ) - ( e "1.60217653e-19 C" "Elementary charge" ) ;; CODATA 2005 - ( ech "1.60217653e-19 C" "Elementary charge" ) ;; CODATA 2005 + ( e "ech" "Elementary charge" ) + ( ech "1.602176487e-19 C" "Elementary charge" ) ;;(approx) CODATA ( V "W/A" "Volt" ) ( ohm "V/A" "Ohm" ) ( mho "A/V" "Mho" ) @@ -189,26 +191,26 @@ ( F "C/V" "Farad" ) ( H "Wb/A" "Henry" ) ( T "Wb/m^2" "Tesla" ) - ( Gs "1e-4 T" "Gauss" ) + ( Gs "10^(-4) T" "Gauss" ) ( Wb "V s" "Weber" ) ;; Luminous intensity ( cd nil "*Candela" ) - ( sb "1e4 cd/m^2" "Stilb" ) + ( sb "10000 cd/m^2" "Stilb" ) ( lm "cd sr" "Lumen" ) ( lx "lm/m^2" "Lux" ) - ( ph "1e4 lx" "Phot" ) - ( fc "10.76391 lx" "Footcandle" ) ;; NIST (http://physics.nist.gov/Pubs/SP811/appenB9.html) - ( lam "1e4 lm/m^2" "Lambert" ) - ( flam "3.426259 cd/m^2" "Footlambert" ) ;; NIST (http://physics.nist.gov/Pubs/SP811/appenB9.html) + ( ph "10000 lx" "Phot" ) + ( fc "10.76391 lx" "Footcandle" ) ;;(approx) NIST + ( lam "10000 lm/m^2" "Lambert" ) + ( flam "3.426259 cd/m^2" "Footlambert" ) ;;(approx) NIST ;; Radioactivity ( Bq "1/s" "*Becquerel" ) - ( Ci "3.7e10 Bq" "Curie" ) + ( Ci "37*10^9 Bq" "Curie" ) ;; ESUWM ( Gy "J/kg" "Gray" ) ( Sv "Gy" "Sievert" ) - ( R "2.58e-4 C/kg" "Roentgen" ) - ( rd ".01 Gy" "Rad" ) + ( R "258*10^(-6) C/kg" "Roentgen" ) ;; NIST + ( rd "(1/100) Gy" "Rad" ) ( rem "rd" "Rem" ) ;; Amount of substance @@ -228,23 +230,24 @@ ( sr nil "*Steradian" ) ;; Other physical quantities - ( h "6.6260693e-34 J s" "*Planck's constant" ) ;; CODATA 2005 - ( hbar "h / 2 pi" "Planck's constant" ) - ( mu0 "4 pi 1e-7 H/m" "Permeability of vacuum" ) - ( G "6.6742e-11 m^3/kg^1/s^2" "Gravitational constant" ) ;; CODATA 2005 - ( Nav "6.02214115e23 / mol" "Avagadro's constant" ) ;; CODATA 2005 - ( me "9.1093826e-31 kg" "Electron rest mass" ) ;; CODATA 2005 - ( mp "1.67262171e-27 kg" "Proton rest mass" ) ;; CODATA 2005 - ( mn "1.67492728e-27 kg" "Neutron rest mass" ) ;; CODATA 2005 - ( mmu "1.88353140e-28 kg" "Muon rest mass" ) ;; CODATA 2005 - ( Ryd "10973731.568525 /m" "Rydberg's constant" ) ;; CODATA 2005 - ( k "1.3806505e-23 J/K" "Boltzmann's constant" ) ;; CODATA 2005 - ( alpha "7.297352568e-3" "Fine structure constant" ) ;; CODATA 2005 - ( muB "927.400949e-26 J/T" "Bohr magneton" ) ;; CODATA 2005 - ( muN "5.05078343e-27 J/T" "Nuclear magneton" ) ;; CODATA 2005 - ( mue "-928.476412e-26 J/T" "Electron magnetic moment" ) ;; CODATA 2005 - ( mup "1.41060671e-26 J/T" "Proton magnetic moment" ) ;; CODATA 2005 - ( R0 "8.314472 J/mol/K" "Molar gas constant" ) ;; CODATA 2005 + ;; The values are from CODATA, and are approximate. + ( h "6.62606896e-34 J s" "*Planck's constant" ) + ( hbar "h / (2 pi)" "Planck's constant" ) + ( mu0 "4 pi 10^(-7) H/m" "Permeability of vacuum" ) + ( G "6.67428e-11 m^3/(kg s^2)" "Gravitational constant" ) + ( Nav "6.02214179e23 / mol" "Avagadro's constant" ) + ( me "9.10938215e-31 kg" "Electron rest mass" ) + ( mp "1.672621637e-27 kg" "Proton rest mass" ) + ( mn "1.674927211e-27 kg" "Neutron rest mass" ) + ( mmu "1.88353130e-28 kg" "Muon rest mass" ) + ( Ryd "10973731.568527 /m" "Rydberg's constant" ) + ( k "1.3806504e-23 J/K" "Boltzmann's constant" ) + ( alpha "7.2973525376e-3" "Fine structure constant" ) + ( muB "927.400915e-26 J/T" "Bohr magneton" ) + ( muN "5.05078324e-27 J/T" "Nuclear magneton" ) + ( mue "-928.476377e-26 J/T" "Electron magnetic moment" ) + ( mup "1.410606662e-26 J/T" "Proton magnetic moment" ) + ( R0 "8.314472 J/(mol K)" "Molar gas constant" ) ( V0 "22.710981e-3 m^3/mol" "Standard volume of ideal gas" ))) @@ -255,35 +258,35 @@ If this is changed, be sure to set math-units-table to nil to ensure that the combined units table will be rebuilt.") (defvar math-unit-prefixes - '( ( ?Y (float 1 24) "Yotta" ) - ( ?Z (float 1 21) "Zetta" ) - ( ?E (float 1 18) "Exa" ) - ( ?P (float 1 15) "Peta" ) - ( ?T (float 1 12) "Tera" ) - ( ?G (float 1 9) "Giga" ) - ( ?M (float 1 6) "Mega" ) - ( ?k (float 1 3) "Kilo" ) - ( ?K (float 1 3) "Kilo" ) - ( ?h (float 1 2) "Hecto" ) - ( ?H (float 1 2) "Hecto" ) - ( ?D (float 1 1) "Deka" ) - ( 0 (float 1 0) nil ) - ( ?d (float 1 -1) "Deci" ) - ( ?c (float 1 -2) "Centi" ) - ( ?m (float 1 -3) "Milli" ) - ( ?u (float 1 -6) "Micro" ) - ( ?n (float 1 -9) "Nano" ) - ( ?p (float 1 -12) "Pico" ) - ( ?f (float 1 -15) "Femto" ) - ( ?a (float 1 -18) "Atto" ) - ( ?z (float 1 -21) "zepto" ) - ( ?y (float 1 -24) "yocto" ))) + '( ( ?Y (^ 10 24) "Yotta" ) + ( ?Z (^ 10 21) "Zetta" ) + ( ?E (^ 10 18) "Exa" ) + ( ?P (^ 10 15) "Peta" ) + ( ?T (^ 10 12) "Tera" ) + ( ?G (^ 10 9) "Giga" ) + ( ?M (^ 10 6) "Mega" ) + ( ?k (^ 10 3) "Kilo" ) + ( ?K (^ 10 3) "Kilo" ) + ( ?h (^ 10 2) "Hecto" ) + ( ?H (^ 10 2) "Hecto" ) + ( ?D (^ 10 1) "Deka" ) + ( 0 (^ 10 0) nil ) + ( ?d (^ 10 -1) "Deci" ) + ( ?c (^ 10 -2) "Centi" ) + ( ?m (^ 10 -3) "Milli" ) + ( ?u (^ 10 -6) "Micro" ) + ( ?n (^ 10 -9) "Nano" ) + ( ?p (^ 10 -12) "Pico" ) + ( ?f (^ 10 -15) "Femto" ) + ( ?a (^ 10 -18) "Atto" ) + ( ?z (^ 10 -21) "zepto" ) + ( ?y (^ 10 -24) "yocto" ))) (defvar math-standard-units-systems '( ( base nil ) - ( si ( ( g '(* (var kg var-kg) (float 1 -3)) ) ) ) - ( mks ( ( g '(* (var kg var-kg) (float 1 -3)) ) ) ) - ( cgs ( ( m '(* (var cm var-cm) 100 ) ) ) ))) + ( si ( ( g '(/ (var kg var-kg) 1000) ) ) ) + ( mks ( ( g '(/ (var kg var-kg) 1000) ) ) ) + ( cgs ( ( m '(* (var cm var-cm) 100 ) ) ) ))) (defvar math-units-table nil "Internal units table derived from math-defined-units. @@ -337,9 +340,11 @@ Entries are (SYMBOL EXPR DOC-STRING TEMP-TYPE BASE-UNITS).") If EXPR is nil, return nil." (if expr (let ((cexpr (math-compose-expr expr 0))) - (if (stringp cexpr) - cexpr - (math-composition-to-string cexpr))))) + (replace-regexp-in-string + " / " "/" + (if (stringp cexpr) + cexpr + (math-composition-to-string cexpr)))))) (defvar math-default-units-table (make-hash-table :test 'equal)