HCoop / bpt / emacs.git / blame
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| 8cd8ee52 CW |
1 | ;;; calc-units.el --- unit conversion functions for Calc |
| 2 | ||
| e9bffc61 GM |
3 | ;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004, 2005, |
| 4 | ;; 2006, 2007, 2008, 2009, 2010, 2011 Free Software Foundation, Inc. | |
| 8cd8ee52 CW |
5 | |
| 6 | ;; Author: David Gillespie <daveg@synaptics.com> | |
| e8fff8ed | 7 | ;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com> |
| 136211a9 EZ |
8 | |
| 9 | ;; This file is part of GNU Emacs. | |
| 10 | ||
| 662c9c64 | 11 | ;; GNU Emacs is free software: you can redistribute it and/or modify |
| 7c671b23 | 12 | ;; it under the terms of the GNU General Public License as published by |
| 662c9c64 GM |
13 | ;; the Free Software Foundation, either version 3 of the License, or |
| 14 | ;; (at your option) any later version. | |
| 7c671b23 | 15 | |
| 136211a9 | 16 | ;; GNU Emacs is distributed in the hope that it will be useful, |
| 7c671b23 GM |
17 | ;; but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 18 | ;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
| 19 | ;; GNU General Public License for more details. | |
| 20 | ||
| 21 | ;; You should have received a copy of the GNU General Public License | |
| 662c9c64 | 22 | ;; along with GNU Emacs. If not, see <http://www.gnu.org/licenses/>. |
| 136211a9 | 23 | |
| 8cd8ee52 | 24 | ;;; Commentary: |
| 136211a9 | 25 | |
| 8cd8ee52 | 26 | ;;; Code: |
| 136211a9 EZ |
27 | |
| 28 | ;; This file is autoloaded from calc-ext.el. | |
| 136211a9 | 29 | |
| 7d02e8cd | 30 | (require 'calc-ext) |
| 136211a9 | 31 | (require 'calc-macs) |
| c7388379 JB |
32 | (eval-when-compile |
| 33 | (require 'calc-alg)) | |
| 136211a9 | 34 | |
| 8cd8ee52 CW |
35 | ;;; Units operations. |
| 36 | ||
| 37 | ;;; Units table last updated 9-Jan-91 by Ulrich Mueller (ulm@vsnhd1.cern.ch) | |
| 38 | ;;; with some additions by Przemek Klosowski (przemek@rrdstrad.nist.gov) | |
| ae6bc504 | 39 | ;;; Updated April 2002 by Jochen Küpper |
| be59410c | 40 | |
| a21f3259 JB |
41 | ;;; Updated August 2007, using |
| 42 | ;;; CODATA (http://physics.nist.gov/cuu/Constants/index.html) | |
| 43 | ;;; NIST (http://physics.nist.gov/Pubs/SP811/appenB9.html) | |
| 44 | ;;; ESUWM (Encyclopaedia of Scientific Units, Weights and | |
| ae6bc504 | 45 | ;;; Measures, by François Cardarelli) |
| a21f3259 | 46 | ;;; All conversions are exact unless otherwise noted. |
| 8cd8ee52 CW |
47 | |
| 48 | (defvar math-standard-units | |
| 49 | '( ;; Length | |
| cf39c182 | 50 | ( m nil "*Meter" ) |
| 60afd99b | 51 | ( in "254*10^(-2) cm" "Inch" nil |
| 19bdc4d8 JB |
52 | "2.54 cm") |
| 53 | ( ft "12 in" "Foot") | |
| cf39c182 JB |
54 | ( yd "3 ft" "Yard" ) |
| 55 | ( mi "5280 ft" "Mile" ) | |
| 60afd99b | 56 | ( au "149597870691. m" "Astronomical Unit" nil |
| 19bdc4d8 | 57 | "149597870691 m (*)") |
| a21f3259 JB |
58 | ;; (approx) NASA JPL (http://neo.jpl.nasa.gov/glossary/au.html) |
| 59 | ( lyr "c yr" "Light Year" ) | |
| 1265829e | 60 | ( pc "3.0856775854*10^16 m" "Parsec (**)" nil |
| ac318df0 | 61 | "3.0856775854 10^16 m (*)") ;; (approx) ESUWM |
| cf39c182 JB |
62 | ( nmi "1852 m" "Nautical Mile" ) |
| 63 | ( fath "6 ft" "Fathom" ) | |
| ac318df0 | 64 | ( fur "660 ft" "Furlong") |
| cf39c182 | 65 | ( mu "1 um" "Micron" ) |
| ac318df0 | 66 | ( mil "(1/1000) in" "Mil" ) |
| 1265829e | 67 | ( point "(1/72) in" "Point (PostScript convention)" ) |
| a21f3259 | 68 | ( Ang "10^(-10) m" "Angstrom" ) |
| cf39c182 JB |
69 | ( mfi "mi+ft+in" "Miles + feet + inches" ) |
| 70 | ;; TeX lengths | |
| 1265829e JB |
71 | ( texpt "(100/7227) in" "Point (TeX convention) (**)" ) |
| 72 | ( texpc "12 texpt" "Pica (TeX convention) (**)" ) | |
| 73 | ( texbp "point" "Big point (TeX convention) (**)" ) | |
| 74 | ( texdd "(1238/1157) texpt" "Didot point (TeX convention) (**)" ) | |
| 75 | ( texcc "12 texdd" "Cicero (TeX convention) (**)" ) | |
| 76 | ( texsp "(1/65536) texpt" "Scaled TeX point (TeX convention) (**)" ) | |
| a1506d29 | 77 | |
| be59410c | 78 | ;; Area |
| cf39c182 JB |
79 | ( hect "10000 m^2" "*Hectare" ) |
| 80 | ( a "100 m^2" "Are") | |
| ac318df0 | 81 | ( acre "(1/640) mi^2" "Acre" ) |
| a21f3259 | 82 | ( b "10^(-28) m^2" "Barn" ) |
| a1506d29 | 83 | |
| be59410c | 84 | ;; Volume |
| a21f3259 | 85 | ( L "10^(-3) m^3" "*Liter" ) |
| cf39c182 JB |
86 | ( l "L" "Liter" ) |
| 87 | ( gal "4 qt" "US Gallon" ) | |
| 88 | ( qt "2 pt" "Quart" ) | |
| 1265829e | 89 | ( pt "2 cup" "Pint (**)" ) |
| cf39c182 JB |
90 | ( cup "8 ozfl" "Cup" ) |
| 91 | ( ozfl "2 tbsp" "Fluid Ounce" ) | |
| 92 | ( floz "2 tbsp" "Fluid Ounce" ) | |
| 93 | ( tbsp "3 tsp" "Tablespoon" ) | |
| 7026903c JB |
94 | ;; ESUWM defines a US gallon as 231 in^3. |
| 95 | ;; That gives the following exact value for tsp. | |
| 60afd99b | 96 | ( tsp "492892159375*10^(-11) ml" "Teaspoon" nil |
| 19bdc4d8 | 97 | "4.92892159375 ml") |
| ac318df0 JB |
98 | ( vol "tsp+tbsp+ozfl+cup+pt+qt+gal" "Gallons + ... + teaspoons" nil |
| 99 | "tsp+tbsp+ozfl+cup+pt+qt+gal") | |
| a21f3259 | 100 | ( galC "galUK" "Canadian Gallon" ) |
| 60afd99b | 101 | ( galUK "454609*10^(-5) L" "UK Gallon" nil |
| 19bdc4d8 | 102 | "4.54609 L") ;; NIST |
| a1506d29 | 103 | |
| be59410c | 104 | ;; Time |
| cf39c182 JB |
105 | ( s nil "*Second" ) |
| 106 | ( sec "s" "Second" ) | |
| 107 | ( min "60 s" "Minute" ) | |
| 108 | ( hr "60 min" "Hour" ) | |
| 109 | ( day "24 hr" "Day" ) | |
| 110 | ( wk "7 day" "Week" ) | |
| 111 | ( hms "wk+day+hr+min+s" "Hours, minutes, seconds" ) | |
| ac318df0 JB |
112 | ( yr "36525*10^(-2) day" "Year (Julian)" nil |
| 113 | "365.25 day") | |
| cf39c182 | 114 | ( Hz "1/s" "Hertz" ) |
| be59410c CW |
115 | |
| 116 | ;; Speed | |
| cf39c182 JB |
117 | ( mph "mi/hr" "*Miles per hour" ) |
| 118 | ( kph "km/hr" "Kilometers per hour" ) | |
| 119 | ( knot "nmi/hr" "Knot" ) | |
| a21f3259 | 120 | ( c "299792458 m/s" "Speed of light" ) ;;; CODATA |
| a1506d29 | 121 | |
| be59410c | 122 | ;; Acceleration |
| 60afd99b | 123 | ( ga "980665*10^(-5) m/s^2" "*\"g\" acceleration" nil |
| 19bdc4d8 | 124 | "9.80665 m / s^2") ;; CODATA |
| be59410c CW |
125 | |
| 126 | ;; Mass | |
| cf39c182 JB |
127 | ( g nil "*Gram" ) |
| 128 | ( lb "16 oz" "Pound (mass)" ) | |
| 60afd99b | 129 | ( oz "28349523125*10^(-9) g" "Ounce (mass)" nil |
| 19bdc4d8 | 130 | "28.349523125 g") ;; ESUWM |
| cf39c182 JB |
131 | ( ton "2000 lb" "Ton" ) |
| 132 | ( tpo "ton+lb+oz" "Tons + pounds + ounces (mass)" ) | |
| 133 | ( t "1000 kg" "Metric ton" ) | |
| 60afd99b | 134 | ( tonUK "10160469088*10^(-7) kg" "UK ton" nil |
| 19bdc4d8 | 135 | "1016.0469088 kg") ;; ESUWM |
| cf39c182 | 136 | ( lbt "12 ozt" "Troy pound" ) |
| 60afd99b | 137 | ( ozt "311034768*10^(-7) g" "Troy ounce" nil |
| ac318df0 | 138 | "31.10347680 g") ;; ESUWM, 1/12 exact value for lbt |
| 60afd99b | 139 | ( ct "(2/10) g" "Carat" nil |
| 19bdc4d8 | 140 | "0.2 g") ;; ESUWM |
| 60afd99b | 141 | ( u "1.660538782*10^(-27) kg" "Unified atomic mass" nil |
| ac318df0 | 142 | "1.660538782 10^-27 kg (*)");;(approx) CODATA |
| be59410c CW |
143 | |
| 144 | ;; Force | |
| cf39c182 | 145 | ( N "m kg/s^2" "*Newton" ) |
| a21f3259 | 146 | ( dyn "10^(-5) N" "Dyne" ) |
| cf39c182 | 147 | ( gf "ga g" "Gram (force)" ) |
| a21f3259 | 148 | ( lbf "ga lb" "Pound (force)" ) |
| cf39c182 | 149 | ( kip "1000 lbf" "Kilopound (force)" ) |
| 60afd99b | 150 | ( pdl "138254954376*10^(-12) N" "Poundal" nil |
| 19bdc4d8 | 151 | "0.138254954376 N") ;; ESUWM |
| be59410c CW |
152 | |
| 153 | ;; Energy | |
| cf39c182 | 154 | ( J "N m" "*Joule" ) |
| a21f3259 | 155 | ( erg "10^(-7) J" "Erg" ) |
| 60afd99b | 156 | ( cal "41868*10^(-4) J" "International Table Calorie" nil |
| ac318df0 | 157 | "4.1868 J") ;; NIST |
| 60afd99b | 158 | ( calth "4184*10^(-3) J" "Thermochemical Calorie" nil |
| ac318df0 JB |
159 | "4.184 J") ;; NIST |
| 160 | ( Cal "1000 cal" "Large Calorie") | |
| 60afd99b | 161 | ( Btu "105505585262*10^(-8) J" "International Table Btu" nil |
| 19bdc4d8 | 162 | "1055.05585262 J") ;; ESUWM |
| cf39c182 JB |
163 | ( eV "ech V" "Electron volt" ) |
| 164 | ( ev "eV" "Electron volt" ) | |
| 165 | ( therm "105506000 J" "EEC therm" ) | |
| 166 | ( invcm "h c/cm" "Energy in inverse centimeters" ) | |
| 167 | ( Kayser "invcm" "Kayser (inverse centimeter energy)" ) | |
| 168 | ( men "100/invcm" "Inverse energy in meters" ) | |
| 169 | ( Hzen "h Hz" "Energy in Hertz") | |
| 170 | ( Ken "k K" "Energy in Kelvins") | |
| 02bf5ab9 | 171 | ( Wh "W hr" "Watt hour") |
| cf39c182 | 172 | ( Ws "W s" "Watt second") |
| be59410c CW |
173 | |
| 174 | ;; Power | |
| cf39c182 | 175 | ( W "J/s" "*Watt" ) |
| ac318df0 JB |
176 | ( hp "550 ft lbf/s" "Horsepower") ;;ESUWM |
| 177 | ( hpm "75 m kgf/s" "Metric Horsepower") ;;ESUWM | |
| be59410c CW |
178 | |
| 179 | ;; Temperature | |
| cf39c182 JB |
180 | ( K nil "*Degree Kelvin" K ) |
| 181 | ( dK "K" "Degree Kelvin" K ) | |
| 182 | ( degK "K" "Degree Kelvin" K ) | |
| 183 | ( dC "K" "Degree Celsius" C ) | |
| 184 | ( degC "K" "Degree Celsius" C ) | |
| 185 | ( dF "(5/9) K" "Degree Fahrenheit" F ) | |
| 186 | ( degF "(5/9) K" "Degree Fahrenheit" F ) | |
| be59410c CW |
187 | |
| 188 | ;; Pressure | |
| cf39c182 | 189 | ( Pa "N/m^2" "*Pascal" ) |
| a21f3259 JB |
190 | ( bar "10^5 Pa" "Bar" ) |
| 191 | ( atm "101325 Pa" "Standard atmosphere" ) ;; CODATA | |
| ac318df0 | 192 | ( Torr "(1/760) atm" "Torr") |
| cf39c182 | 193 | ( mHg "1000 Torr" "Meter of mercury" ) |
| 60afd99b | 194 | ( inHg "254*10^(-1) mmHg" "Inch of mercury" nil |
| 19bdc4d8 | 195 | "25.4 mmHg") |
| 60afd99b | 196 | ( inH2O "2.490889*10^2 Pa" "Inch of water" nil |
| ac318df0 | 197 | "2.490889 10^2 Pa (*)") ;;(approx) NIST |
| a21f3259 | 198 | ( psi "lbf/in^2" "Pounds per square inch" ) |
| be59410c CW |
199 | |
| 200 | ;; Viscosity | |
| a21f3259 JB |
201 | ( P "(1/10) Pa s" "*Poise" ) |
| 202 | ( St "10^(-4) m^2/s" "Stokes" ) | |
| be59410c CW |
203 | |
| 204 | ;; Electromagnetism | |
| cf39c182 JB |
205 | ( A nil "*Ampere" ) |
| 206 | ( C "A s" "Coulomb" ) | |
| 207 | ( Fdy "ech Nav" "Faraday" ) | |
| a21f3259 | 208 | ( e "ech" "Elementary charge" ) |
| 60afd99b | 209 | ( ech "1.602176487*10^(-19) C" "Elementary charge" nil |
| ac318df0 | 210 | "1.602176487 10^-19 C (*)") ;;(approx) CODATA |
| cf39c182 JB |
211 | ( V "W/A" "Volt" ) |
| 212 | ( ohm "V/A" "Ohm" ) | |
| ae6bc504 | 213 | ( Ω "ohm" "Ohm" ) |
| cf39c182 JB |
214 | ( mho "A/V" "Mho" ) |
| 215 | ( S "A/V" "Siemens" ) | |
| 216 | ( F "C/V" "Farad" ) | |
| 217 | ( H "Wb/A" "Henry" ) | |
| 218 | ( T "Wb/m^2" "Tesla" ) | |
| a21f3259 | 219 | ( Gs "10^(-4) T" "Gauss" ) |
| cf39c182 | 220 | ( Wb "V s" "Weber" ) |
| be59410c CW |
221 | |
| 222 | ;; Luminous intensity | |
| cf39c182 | 223 | ( cd nil "*Candela" ) |
| a21f3259 | 224 | ( sb "10000 cd/m^2" "Stilb" ) |
| cf39c182 JB |
225 | ( lm "cd sr" "Lumen" ) |
| 226 | ( lx "lm/m^2" "Lux" ) | |
| a21f3259 | 227 | ( ph "10000 lx" "Phot" ) |
| ac318df0 | 228 | ( fc "lm/ft^2" "Footcandle") ;; ESUWM |
| a21f3259 | 229 | ( lam "10000 lm/m^2" "Lambert" ) |
| ac318df0 | 230 | ( flam "(1/pi) cd/ft^2" "Footlambert") ;; ESUWM |
| be59410c CW |
231 | |
| 232 | ;; Radioactivity | |
| cf39c182 | 233 | ( Bq "1/s" "*Becquerel" ) |
| a21f3259 | 234 | ( Ci "37*10^9 Bq" "Curie" ) ;; ESUWM |
| cf39c182 JB |
235 | ( Gy "J/kg" "Gray" ) |
| 236 | ( Sv "Gy" "Sievert" ) | |
| a21f3259 JB |
237 | ( R "258*10^(-6) C/kg" "Roentgen" ) ;; NIST |
| 238 | ( rd "(1/100) Gy" "Rad" ) | |
| cf39c182 | 239 | ( rem "rd" "Rem" ) |
| be59410c CW |
240 | |
| 241 | ;; Amount of substance | |
| cf39c182 | 242 | ( mol nil "*Mole" ) |
| be59410c CW |
243 | |
| 244 | ;; Plane angle | |
| cf39c182 JB |
245 | ( rad nil "*Radian" ) |
| 246 | ( circ "2 pi rad" "Full circle" ) | |
| 247 | ( rev "circ" "Full revolution" ) | |
| 248 | ( deg "circ/360" "Degree" ) | |
| 249 | ( arcmin "deg/60" "Arc minute" ) | |
| 250 | ( arcsec "arcmin/60" "Arc second" ) | |
| 251 | ( grad "circ/400" "Grade" ) | |
| 252 | ( rpm "rev/min" "Revolutions per minute" ) | |
| be59410c CW |
253 | |
| 254 | ;; Solid angle | |
| cf39c182 | 255 | ( sr nil "*Steradian" ) |
| be59410c | 256 | |
| cf39c182 | 257 | ;; Other physical quantities |
| a21f3259 | 258 | ;; The values are from CODATA, and are approximate. |
| 60afd99b | 259 | ( h "6.62606896*10^(-34) J s" "*Planck's constant" nil |
| ac318df0 JB |
260 | "6.62606896 10^-34 J s (*)") |
| 261 | ( hbar "h / (2 pi)" "Planck's constant" ) ;; Exact | |
| 262 | ( mu0 "4 pi 10^(-7) H/m" "Permeability of vacuum") ;; Exact | |
| ae6bc504 | 263 | ( μ0 "mu0" "Permeability of vacuum") ;; Exact |
| 4929aa69 | 264 | ( eps0 "1 / (mu0 c^2)" "Permittivity of vacuum" ) |
| ae6bc504 | 265 | ( ε0 "eps0" "Permittivity of vacuum" ) |
| 60afd99b | 266 | ( G "6.67428*10^(-11) m^3/(kg s^2)" "Gravitational constant" nil |
| 9b3e5667 | 267 | "6.67428 10^-11 m^3/(kg s^2) (*)") |
| 60afd99b | 268 | ( Nav "6.02214179*10^(23) / mol" "Avogadro's constant" nil |
| ac318df0 | 269 | "6.02214179 10^23 / mol (*)") |
| 60afd99b | 270 | ( me "9.10938215*10^(-31) kg" "Electron rest mass" nil |
| ac318df0 | 271 | "9.10938215 10^-31 kg (*)") |
| 60afd99b | 272 | ( mp "1.672621637*10^(-27) kg" "Proton rest mass" nil |
| ac318df0 | 273 | "1.672621637 10^-27 kg (*)") |
| 60afd99b | 274 | ( mn "1.674927211*10^(-27) kg" "Neutron rest mass" nil |
| ac318df0 | 275 | "1.674927211 10^-27 kg (*)") |
| 60afd99b | 276 | ( mmu "1.88353130*10^(-28) kg" "Muon rest mass" nil |
| ac318df0 | 277 | "1.88353130 10^-28 kg (*)") |
| ae6bc504 JB |
278 | ( mμ "mmu" "Muon rest mass" nil |
| 279 | "1.88353130 10^-28 kg (*)") | |
| 60afd99b | 280 | ( Ryd "10973731.568527 /m" "Rydberg's constant" nil |
| 19bdc4d8 | 281 | "10973731.568527 /m (*)") |
| 60afd99b | 282 | ( k "1.3806504*10^(-23) J/K" "Boltzmann's constant" nil |
| ac318df0 | 283 | "1.3806504 10^-23 J/K (*)") |
| 60afd99b | 284 | ( alpha "7.2973525376*10^(-3)" "Fine structure constant" nil |
| ac318df0 | 285 | "7.2973525376 10^-3 (*)") |
| ae6bc504 JB |
286 | ( α "alpha" "Fine structure constant" nil |
| 287 | "7.2973525376 10^-3 (*)") | |
| 60afd99b | 288 | ( muB "927.400915*10^(-26) J/T" "Bohr magneton" nil |
| ac318df0 | 289 | "927.400915 10^-26 J/T (*)") |
| 60afd99b | 290 | ( muN "5.05078324*10^(-27) J/T" "Nuclear magneton" nil |
| ac318df0 | 291 | "5.05078324 10^-27 J/T (*)") |
| 60afd99b | 292 | ( mue "-928.476377*10^(-26) J/T" "Electron magnetic moment" nil |
| ac318df0 | 293 | "-928.476377 10^-26 J/T (*)") |
| 60afd99b | 294 | ( mup "1.410606662*10^(-26) J/T" "Proton magnetic moment" nil |
| ac318df0 | 295 | "1.410606662 10^-26 J/T (*)") |
| 60afd99b | 296 | ( R0 "8.314472 J/(mol K)" "Molar gas constant" nil |
| 19bdc4d8 | 297 | "8.314472 J/(mol K) (*)") |
| 60afd99b | 298 | ( V0 "22.710981*10^(-3) m^3/mol" "Standard volume of ideal gas" nil |
| ac318df0 | 299 | "22.710981 10^-3 m^3/mol (*)"))) |
| 8cd8ee52 CW |
300 | |
| 301 | ||
| 302 | (defvar math-additional-units nil | |
| 303 | "*Additional units table for user-defined units. | |
| 60afd99b | 304 | Must be formatted like `math-standard-units'. |
| 11220394 | 305 | If you change this, be sure to set `math-units-table' to nil to ensure |
| 8cd8ee52 CW |
306 | that the combined units table will be rebuilt.") |
| 307 | ||
| 308 | (defvar math-unit-prefixes | |
| a21f3259 JB |
309 | '( ( ?Y (^ 10 24) "Yotta" ) |
| 310 | ( ?Z (^ 10 21) "Zetta" ) | |
| 311 | ( ?E (^ 10 18) "Exa" ) | |
| 312 | ( ?P (^ 10 15) "Peta" ) | |
| 313 | ( ?T (^ 10 12) "Tera" ) | |
| 314 | ( ?G (^ 10 9) "Giga" ) | |
| 315 | ( ?M (^ 10 6) "Mega" ) | |
| 316 | ( ?k (^ 10 3) "Kilo" ) | |
| 317 | ( ?K (^ 10 3) "Kilo" ) | |
| 318 | ( ?h (^ 10 2) "Hecto" ) | |
| 319 | ( ?H (^ 10 2) "Hecto" ) | |
| 320 | ( ?D (^ 10 1) "Deka" ) | |
| 321 | ( 0 (^ 10 0) nil ) | |
| 322 | ( ?d (^ 10 -1) "Deci" ) | |
| 323 | ( ?c (^ 10 -2) "Centi" ) | |
| 324 | ( ?m (^ 10 -3) "Milli" ) | |
| 325 | ( ?u (^ 10 -6) "Micro" ) | |
| be19ef0b | 326 | ( ?μ (^ 10 -6) "Micro" ) |
| a21f3259 JB |
327 | ( ?n (^ 10 -9) "Nano" ) |
| 328 | ( ?p (^ 10 -12) "Pico" ) | |
| 329 | ( ?f (^ 10 -15) "Femto" ) | |
| 330 | ( ?a (^ 10 -18) "Atto" ) | |
| 331 | ( ?z (^ 10 -21) "zepto" ) | |
| 332 | ( ?y (^ 10 -24) "yocto" ))) | |
| 8cd8ee52 CW |
333 | |
| 334 | (defvar math-standard-units-systems | |
| 335 | '( ( base nil ) | |
| a21f3259 JB |
336 | ( si ( ( g '(/ (var kg var-kg) 1000) ) ) ) |
| 337 | ( mks ( ( g '(/ (var kg var-kg) 1000) ) ) ) | |
| 338 | ( cgs ( ( m '(* (var cm var-cm) 100 ) ) ) ))) | |
| 8cd8ee52 CW |
339 | |
| 340 | (defvar math-units-table nil | |
| 60afd99b JB |
341 | "Internal units table. |
| 342 | Derived from `math-standard-units' and `math-additional-units'. | |
| 8cd8ee52 CW |
343 | Entries are (SYMBOL EXPR DOC-STRING TEMP-TYPE BASE-UNITS).") |
| 344 | ||
| 345 | (defvar math-units-table-buffer-valid nil) | |
| 136211a9 EZ |
346 | |
| 347 | ;;; Units commands. | |
| 348 | ||
| 349 | (defun calc-base-units () | |
| 350 | (interactive) | |
| 351 | (calc-slow-wrapper | |
| 352 | (let ((calc-autorange-units nil)) | |
| 353 | (calc-enter-result 1 "bsun" (math-simplify-units | |
| 354 | (math-to-standard-units (calc-top-n 1) | |
| c9aef719 | 355 | nil)))))) |
| 136211a9 EZ |
356 | |
| 357 | (defun calc-quick-units () | |
| 358 | (interactive) | |
| 359 | (calc-slow-wrapper | |
| e93c003e | 360 | (let* ((num (- last-command-event ?0)) |
| 136211a9 EZ |
361 | (pos (if (= num 0) 10 num)) |
| 362 | (units (calc-var-value 'var-Units)) | |
| 363 | (expr (calc-top-n 1))) | |
| 8cd8ee52 | 364 | (unless (and (>= num 0) (<= num 9)) |
| 91af11b2 | 365 | (error "Bad unit number")) |
| 8cd8ee52 | 366 | (unless (math-vectorp units) |
| 91af11b2 | 367 | (error "No \"quick units\" are defined")) |
| 8cd8ee52 | 368 | (unless (< pos (length units)) |
| 91af11b2 | 369 | (error "Unit number %d not defined" pos)) |
| 136211a9 EZ |
370 | (if (math-units-in-expr-p expr nil) |
| 371 | (calc-enter-result 1 (format "cun%d" num) | |
| 372 | (math-convert-units expr (nth pos units))) | |
| 373 | (calc-enter-result 1 (format "*un%d" num) | |
| 374 | (math-simplify-units | |
| c9aef719 | 375 | (math-mul expr (nth pos units)))))))) |
| 136211a9 | 376 | |
| 5360ea16 JB |
377 | (defun math-get-standard-units (expr) |
| 378 | "Return the standard units in EXPR." | |
| 379 | (math-simplify-units | |
| 380 | (math-extract-units | |
| 381 | (math-to-standard-units expr nil)))) | |
| 382 | ||
| 383 | (defun math-get-units (expr) | |
| 384 | "Return the units in EXPR." | |
| 385 | (math-simplify-units | |
| 386 | (math-extract-units expr))) | |
| 387 | ||
| 388 | (defun math-make-unit-string (expr) | |
| 389 | "Return EXPR in string form. | |
| 390 | If EXPR is nil, return nil." | |
| 391 | (if expr | |
| 392 | (let ((cexpr (math-compose-expr expr 0))) | |
| 09040c8d | 393 | (replace-regexp-in-string |
| a21f3259 JB |
394 | " / " "/" |
| 395 | (if (stringp cexpr) | |
| 396 | cexpr | |
| 397 | (math-composition-to-string cexpr)))))) | |
| 5360ea16 | 398 | |
| 09040c8d | 399 | (defvar math-default-units-table |
| 5360ea16 JB |
400 | (make-hash-table :test 'equal) |
| 401 | "A table storing previously converted units.") | |
| 402 | ||
| 403 | (defun math-get-default-units (expr) | |
| 404 | "Get default units to use when converting the units in EXPR." | |
| 405 | (let* ((units (math-get-units expr)) | |
| 406 | (standard-units (math-get-standard-units expr)) | |
| 09040c8d | 407 | (default-units (gethash |
| 5360ea16 JB |
408 | standard-units |
| 409 | math-default-units-table))) | |
| 410 | (if (equal units (car default-units)) | |
| 411 | (math-make-unit-string (cadr default-units)) | |
| 412 | (math-make-unit-string (car default-units))))) | |
| 413 | ||
| 414 | (defun math-put-default-units (expr) | |
| 415 | "Put the units in EXPR in the default units table." | |
| 416 | (let* ((units (math-get-units expr)) | |
| 417 | (standard-units (math-get-standard-units expr)) | |
| 418 | (default-units (gethash | |
| 419 | standard-units | |
| 420 | math-default-units-table))) | |
| 421 | (cond | |
| 422 | ((not default-units) | |
| 423 | (puthash standard-units (list units) math-default-units-table)) | |
| 424 | ((not (equal units (car default-units))) | |
| 425 | (puthash standard-units | |
| 426 | (list units (car default-units)) | |
| 427 | math-default-units-table))))) | |
| 428 | ||
| 429 | ||
| 136211a9 EZ |
430 | (defun calc-convert-units (&optional old-units new-units) |
| 431 | (interactive) | |
| 432 | (calc-slow-wrapper | |
| 433 | (let ((expr (calc-top-n 1)) | |
| 434 | (uoldname nil) | |
| 27971241 | 435 | unew |
| 5360ea16 JB |
436 | units |
| 437 | defunits) | |
| 8cd8ee52 CW |
438 | (unless (math-units-in-expr-p expr t) |
| 439 | (let ((uold (or old-units | |
| 440 | (progn | |
| 441 | (setq uoldname (read-string "Old units: ")) | |
| 442 | (if (equal uoldname "") | |
| 443 | (progn | |
| 444 | (setq uoldname "1") | |
| 445 | 1) | |
| 446 | (if (string-match "\\` */" uoldname) | |
| 447 | (setq uoldname (concat "1" uoldname))) | |
| 448 | (math-read-expr uoldname)))))) | |
| 449 | (when (eq (car-safe uold) 'error) | |
| 450 | (error "Bad format in units expression: %s" (nth 1 uold))) | |
| 451 | (setq expr (math-mul expr uold)))) | |
| 452 | (unless new-units | |
| 5360ea16 | 453 | (setq defunits (math-get-default-units expr)) |
| 09040c8d | 454 | (setq new-units |
| 5360ea16 JB |
455 | (read-string (concat |
| 456 | (if uoldname | |
| 457 | (concat "Old units: " | |
| 458 | uoldname | |
| 459 | ", new units") | |
| 460 | "New units") | |
| 461 | (if defunits | |
| 462 | (concat | |
| 0f3955d9 | 463 | " (default " |
| 5360ea16 JB |
464 | defunits |
| 465 | "): ") | |
| 466 | ": ")))) | |
| 09040c8d | 467 | |
| 5360ea16 JB |
468 | (if (and |
| 469 | (string= new-units "") | |
| 470 | defunits) | |
| 471 | (setq new-units defunits))) | |
| 8cd8ee52 CW |
472 | (when (string-match "\\` */" new-units) |
| 473 | (setq new-units (concat "1" new-units))) | |
| 136211a9 | 474 | (setq units (math-read-expr new-units)) |
| 8cd8ee52 CW |
475 | (when (eq (car-safe units) 'error) |
| 476 | (error "Bad format in units expression: %s" (nth 2 units))) | |
| 5360ea16 | 477 | (math-put-default-units units) |
| 136211a9 EZ |
478 | (let ((unew (math-units-in-expr-p units t)) |
| 479 | (std (and (eq (car-safe units) 'var) | |
| 480 | (assq (nth 1 units) math-standard-units-systems)))) | |
| 481 | (if std | |
| 482 | (calc-enter-result 1 "cvun" (math-simplify-units | |
| 483 | (math-to-standard-units expr | |
| 484 | (nth 1 std)))) | |
| 8cd8ee52 CW |
485 | (unless unew |
| 486 | (error "No units specified")) | |
| 136211a9 EZ |
487 | (calc-enter-result 1 "cvun" |
| 488 | (math-convert-units | |
| 489 | expr units | |
| c9aef719 | 490 | (and uoldname (not (equal uoldname "1")))))))))) |
| 136211a9 EZ |
491 | |
| 492 | (defun calc-autorange-units (arg) | |
| 493 | (interactive "P") | |
| 494 | (calc-wrapper | |
| 495 | (calc-change-mode 'calc-autorange-units arg nil t) | |
| 496 | (message (if calc-autorange-units | |
| 8cd8ee52 CW |
497 | "Adjusting target unit prefix automatically" |
| 498 | "Using target units exactly")))) | |
| 136211a9 EZ |
499 | |
| 500 | (defun calc-convert-temperature (&optional old-units new-units) | |
| 501 | (interactive) | |
| 502 | (calc-slow-wrapper | |
| 503 | (let ((expr (calc-top-n 1)) | |
| 504 | (uold nil) | |
| 505 | (uoldname nil) | |
| 5360ea16 JB |
506 | unew |
| 507 | defunits) | |
| 136211a9 EZ |
508 | (setq uold (or old-units |
| 509 | (let ((units (math-single-units-in-expr-p expr))) | |
| 510 | (if units | |
| 511 | (if (consp units) | |
| 512 | (list 'var (car units) | |
| 513 | (intern (concat "var-" | |
| 514 | (symbol-name | |
| 515 | (car units))))) | |
| 516 | (error "Not a pure temperature expression")) | |
| 517 | (math-read-expr | |
| 518 | (setq uoldname (read-string | |
| 519 | "Old temperature units: "))))))) | |
| 8cd8ee52 CW |
520 | (when (eq (car-safe uold) 'error) |
| 521 | (error "Bad format in units expression: %s" (nth 2 uold))) | |
| 136211a9 EZ |
522 | (or (math-units-in-expr-p expr nil) |
| 523 | (setq expr (math-mul expr uold))) | |
| 5360ea16 | 524 | (setq defunits (math-get-default-units expr)) |
| 136211a9 | 525 | (setq unew (or new-units |
| fa786329 JB |
526 | (read-string |
| 527 | (concat | |
| 528 | (if uoldname | |
| 529 | (concat "Old temperature units: " | |
| 530 | uoldname | |
| 531 | ", new units") | |
| 532 | "New temperature units") | |
| 533 | (if defunits | |
| 534 | (concat " (default " | |
| 535 | defunits | |
| 536 | "): ") | |
| 537 | ": "))))) | |
| 538 | (setq unew (math-read-expr (if (string= unew "") defunits unew))) | |
| 8cd8ee52 CW |
539 | (when (eq (car-safe unew) 'error) |
| 540 | (error "Bad format in units expression: %s" (nth 2 unew))) | |
| 5360ea16 | 541 | (math-put-default-units unew) |
| a34f800f JB |
542 | (let ((ntemp (calc-normalize |
| 543 | (math-simplify-units | |
| 544 | (math-convert-temperature expr uold unew | |
| 545 | uoldname))))) | |
| 546 | (if (Math-zerop ntemp) | |
| 547 | (setq ntemp (list '* ntemp unew))) | |
| 548 | (let ((calc-simplify-mode 'none)) | |
| 549 | (calc-enter-result 1 "cvtm" ntemp)))))) | |
| 136211a9 EZ |
550 | |
| 551 | (defun calc-remove-units () | |
| 552 | (interactive) | |
| 553 | (calc-slow-wrapper | |
| 554 | (calc-enter-result 1 "rmun" (math-simplify-units | |
| c9aef719 | 555 | (math-remove-units (calc-top-n 1)))))) |
| 136211a9 EZ |
556 | |
| 557 | (defun calc-extract-units () | |
| 558 | (interactive) | |
| 559 | (calc-slow-wrapper | |
| 560 | (calc-enter-result 1 "rmun" (math-simplify-units | |
| c9aef719 | 561 | (math-extract-units (calc-top-n 1)))))) |
| 136211a9 | 562 | |
| 09040c8d | 563 | ;; The variables calc-num-units and calc-den-units are local to |
| 27971241 JB |
564 | ;; calc-explain-units, but are used by calc-explain-units-rec, |
| 565 | ;; which is called by calc-explain-units. | |
| 566 | (defvar calc-num-units) | |
| 567 | (defvar calc-den-units) | |
| 568 | ||
| 136211a9 EZ |
569 | (defun calc-explain-units () |
| 570 | (interactive) | |
| 571 | (calc-wrapper | |
| 27971241 JB |
572 | (let ((calc-num-units nil) |
| 573 | (calc-den-units nil)) | |
| 136211a9 | 574 | (calc-explain-units-rec (calc-top-n 1) 1) |
| 27971241 JB |
575 | (and calc-den-units (string-match "^[^(].* .*[^)]$" calc-den-units) |
| 576 | (setq calc-den-units (concat "(" calc-den-units ")"))) | |
| 577 | (if calc-num-units | |
| 578 | (if calc-den-units | |
| 579 | (message "%s per %s" calc-num-units calc-den-units) | |
| 580 | (message "%s" calc-num-units)) | |
| 581 | (if calc-den-units | |
| 582 | (message "1 per %s" calc-den-units) | |
| c9aef719 | 583 | (message "No units in expression")))))) |
| 136211a9 EZ |
584 | |
| 585 | (defun calc-explain-units-rec (expr pow) | |
| 586 | (let ((u (math-check-unit-name expr)) | |
| 587 | pos) | |
| 588 | (if (and u (not (math-zerop pow))) | |
| 589 | (let ((name (or (nth 2 u) (symbol-name (car u))))) | |
| 590 | (if (eq (aref name 0) ?\*) | |
| 591 | (setq name (substring name 1))) | |
| ae6bc504 JB |
592 | (if (string-match "[^a-zA-Zα-ωΑ-Ω0-9']" name) |
| 593 | (if (string-match "^[a-zA-Zα-ωΑ-Ω0-9' ()]*$" name) | |
| 136211a9 EZ |
594 | (while (setq pos (string-match "[ ()]" name)) |
| 595 | (setq name (concat (substring name 0 pos) | |
| 596 | (if (eq (aref name pos) 32) "-" "") | |
| 597 | (substring name (1+ pos))))) | |
| 598 | (setq name (concat "(" name ")")))) | |
| 599 | (or (eq (nth 1 expr) (car u)) | |
| 600 | (setq name (concat (nth 2 (assq (aref (symbol-name | |
| 601 | (nth 1 expr)) 0) | |
| 602 | math-unit-prefixes)) | |
| ae6bc504 | 603 | (if (and (string-match "[^a-zA-Zα-ωΑ-Ω0-9']" name) |
| 136211a9 EZ |
604 | (not (memq (car u) '(mHg gf)))) |
| 605 | (concat "-" name) | |
| 606 | (downcase name))))) | |
| 607 | (cond ((or (math-equal-int pow 1) | |
| 608 | (math-equal-int pow -1))) | |
| 609 | ((or (math-equal-int pow 2) | |
| 610 | (math-equal-int pow -2)) | |
| 611 | (if (equal (nth 4 u) '((m . 1))) | |
| 612 | (setq name (concat "Square-" name)) | |
| 613 | (setq name (concat name "-squared")))) | |
| 614 | ((or (math-equal-int pow 3) | |
| 615 | (math-equal-int pow -3)) | |
| 616 | (if (equal (nth 4 u) '((m . 1))) | |
| 617 | (setq name (concat "Cubic-" name)) | |
| 618 | (setq name (concat name "-cubed")))) | |
| 619 | (t | |
| 620 | (setq name (concat name "^" | |
| 621 | (math-format-number (math-abs pow)))))) | |
| 622 | (if (math-posp pow) | |
| 27971241 JB |
623 | (setq calc-num-units (if calc-num-units |
| 624 | (concat calc-num-units " " name) | |
| 136211a9 | 625 | name)) |
| 27971241 JB |
626 | (setq calc-den-units (if calc-den-units |
| 627 | (concat calc-den-units " " name) | |
| 136211a9 EZ |
628 | name)))) |
| 629 | (cond ((eq (car-safe expr) '*) | |
| 630 | (calc-explain-units-rec (nth 1 expr) pow) | |
| 631 | (calc-explain-units-rec (nth 2 expr) pow)) | |
| 632 | ((eq (car-safe expr) '/) | |
| 633 | (calc-explain-units-rec (nth 1 expr) pow) | |
| 634 | (calc-explain-units-rec (nth 2 expr) (- pow))) | |
| 635 | ((memq (car-safe expr) '(neg + -)) | |
| 636 | (calc-explain-units-rec (nth 1 expr) pow)) | |
| 637 | ((and (eq (car-safe expr) '^) | |
| 638 | (math-realp (nth 2 expr))) | |
| 639 | (calc-explain-units-rec (nth 1 expr) | |
| c9aef719 | 640 | (math-mul pow (nth 2 expr)))))))) |
| 136211a9 EZ |
641 | |
| 642 | (defun calc-simplify-units () | |
| 643 | (interactive) | |
| 644 | (calc-slow-wrapper | |
| 645 | (calc-with-default-simplification | |
| c9aef719 | 646 | (calc-enter-result 1 "smun" (math-simplify-units (calc-top-n 1)))))) |
| 136211a9 EZ |
647 | |
| 648 | (defun calc-view-units-table (n) | |
| 649 | (interactive "P") | |
| 650 | (and n (setq math-units-table-buffer-valid nil)) | |
| 651 | (let ((win (get-buffer-window "*Units Table*"))) | |
| 652 | (if (and win | |
| 653 | math-units-table | |
| 654 | math-units-table-buffer-valid) | |
| 655 | (progn | |
| 656 | (bury-buffer (window-buffer win)) | |
| 657 | (let ((curwin (selected-window))) | |
| 658 | (select-window win) | |
| 659 | (switch-to-buffer nil) | |
| 660 | (select-window curwin))) | |
| c9aef719 | 661 | (math-build-units-table-buffer nil)))) |
| 136211a9 EZ |
662 | |
| 663 | (defun calc-enter-units-table (n) | |
| 664 | (interactive "P") | |
| 665 | (and n (setq math-units-table-buffer-valid nil)) | |
| 666 | (math-build-units-table-buffer t) | |
| 5c08522d | 667 | (message "%s" (substitute-command-keys "Type \\[calc] to return to the Calculator"))) |
| 136211a9 | 668 | |
| 19bdc4d8 JB |
669 | (defun calc-define-unit (uname desc &optional disp) |
| 670 | (interactive "SDefine unit name: \nsDescription: \nP") | |
| 671 | (if disp (setq disp (read-string "Display definition: "))) | |
| 136211a9 EZ |
672 | (calc-wrapper |
| 673 | (let ((form (calc-top-n 1)) | |
| 674 | (unit (assq uname math-additional-units))) | |
| 675 | (or unit | |
| 676 | (setq math-additional-units | |
| 19bdc4d8 | 677 | (cons (setq unit (list uname nil nil nil nil)) |
| 136211a9 EZ |
678 | math-additional-units) |
| 679 | math-units-table nil)) | |
| 680 | (setcar (cdr unit) (and (not (and (eq (car-safe form) 'var) | |
| 681 | (eq (nth 1 form) uname))) | |
| 682 | (not (math-equal-int form 1)) | |
| 683 | (math-format-flat-expr form 0))) | |
| 684 | (setcar (cdr (cdr unit)) (and (not (equal desc "")) | |
| 19bdc4d8 JB |
685 | desc)) |
| 686 | (if disp | |
| 687 | (setcar (cdr (cdr (cdr (cdr unit)))) disp)))) | |
| c9aef719 | 688 | (calc-invalidate-units-table)) |
| 136211a9 EZ |
689 | |
| 690 | (defun calc-undefine-unit (uname) | |
| 691 | (interactive "SUndefine unit name: ") | |
| 692 | (calc-wrapper | |
| 693 | (let ((unit (assq uname math-additional-units))) | |
| 694 | (or unit | |
| 695 | (if (assq uname math-standard-units) | |
| 696 | (error "\"%s\" is a predefined unit name" uname) | |
| 697 | (error "Unit name \"%s\" not found" uname))) | |
| 698 | (setq math-additional-units (delq unit math-additional-units) | |
| 699 | math-units-table nil))) | |
| c9aef719 | 700 | (calc-invalidate-units-table)) |
| 136211a9 EZ |
701 | |
| 702 | (defun calc-invalidate-units-table () | |
| 703 | (setq math-units-table nil) | |
| 704 | (let ((buf (get-buffer "*Units Table*"))) | |
| 705 | (and buf | |
| 6df9b6d7 | 706 | (with-current-buffer buf |
| 136211a9 EZ |
707 | (save-excursion |
| 708 | (goto-char (point-min)) | |
| 709 | (if (looking-at "Calculator Units Table") | |
| ed8060d9 | 710 | (let ((inhibit-read-only t)) |
| c9aef719 | 711 | (insert "(Obsolete) ")))))))) |
| 136211a9 EZ |
712 | |
| 713 | (defun calc-get-unit-definition (uname) | |
| 714 | (interactive "SGet definition for unit: ") | |
| 715 | (calc-wrapper | |
| 716 | (math-build-units-table) | |
| 717 | (let ((unit (assq uname math-units-table))) | |
| 718 | (or unit | |
| 719 | (error "Unit name \"%s\" not found" uname)) | |
| 720 | (let ((msg (nth 2 unit))) | |
| 721 | (if (stringp msg) | |
| 722 | (if (string-match "^\\*" msg) | |
| 723 | (setq msg (substring msg 1))) | |
| 724 | (setq msg (symbol-name uname))) | |
| 725 | (if (nth 1 unit) | |
| 726 | (progn | |
| 727 | (calc-enter-result 0 "ugdf" (nth 1 unit)) | |
| 728 | (message "Derived unit: %s" msg)) | |
| 729 | (calc-enter-result 0 "ugdf" (list 'var uname | |
| 730 | (intern | |
| 731 | (concat "var-" | |
| 732 | (symbol-name uname))))) | |
| c9aef719 | 733 | (message "Base unit: %s" msg)))))) |
| 136211a9 EZ |
734 | |
| 735 | (defun calc-permanent-units () | |
| 736 | (interactive) | |
| 737 | (calc-wrapper | |
| 738 | (let (pos) | |
| 739 | (set-buffer (find-file-noselect (substitute-in-file-name | |
| 740 | calc-settings-file))) | |
| 741 | (goto-char (point-min)) | |
| 742 | (if (and (search-forward ";;; Custom units stored by Calc" nil t) | |
| 743 | (progn | |
| 744 | (beginning-of-line) | |
| 745 | (setq pos (point)) | |
| 746 | (search-forward "\n;;; End of custom units" nil t))) | |
| 747 | (progn | |
| 748 | (beginning-of-line) | |
| 749 | (forward-line 1) | |
| 750 | (delete-region pos (point))) | |
| 751 | (goto-char (point-max)) | |
| 752 | (insert "\n\n") | |
| 753 | (forward-char -1)) | |
| 754 | (insert ";;; Custom units stored by Calc on " (current-time-string) "\n") | |
| 755 | (if math-additional-units | |
| 756 | (progn | |
| 757 | (insert "(setq math-additional-units '(\n") | |
| 758 | (let ((list math-additional-units)) | |
| 759 | (while list | |
| 760 | (insert " (" (symbol-name (car (car list))) " " | |
| 761 | (if (nth 1 (car list)) | |
| 762 | (if (stringp (nth 1 (car list))) | |
| 763 | (prin1-to-string (nth 1 (car list))) | |
| 764 | (prin1-to-string (math-format-flat-expr | |
| 765 | (nth 1 (car list)) 0))) | |
| 766 | "nil") | |
| 767 | " " | |
| 768 | (prin1-to-string (nth 2 (car list))) | |
| 769 | ")\n") | |
| 770 | (setq list (cdr list)))) | |
| 771 | (insert "))\n")) | |
| 772 | (insert ";;; (no custom units defined)\n")) | |
| 773 | (insert ";;; End of custom units\n") | |
| c9aef719 | 774 | (save-buffer)))) |
| 136211a9 EZ |
775 | |
| 776 | ||
| 27971241 JB |
777 | ;; The variable math-cu-unit-list is local to math-build-units-table, |
| 778 | ;; but is used by math-compare-unit-names, which is called (indirectly) | |
| 779 | ;; by math-build-units-table. | |
| 780 | ;; math-cu-unit-list is also local to math-convert-units, but is used | |
| 781 | ;; by math-convert-units-rec, which is called by math-convert-units. | |
| 782 | (defvar math-cu-unit-list) | |
| 136211a9 | 783 | |
| 136211a9 EZ |
784 | (defun math-build-units-table () |
| 785 | (or math-units-table | |
| 786 | (let* ((combined-units (append math-additional-units | |
| 787 | math-standard-units)) | |
| 27971241 | 788 | (math-cu-unit-list (mapcar 'car combined-units)) |
| 136211a9 EZ |
789 | tab) |
| 790 | (message "Building units table...") | |
| 791 | (setq math-units-table-buffer-valid nil) | |
| 792 | (setq tab (mapcar (function | |
| 793 | (lambda (x) | |
| 794 | (list (car x) | |
| 795 | (and (nth 1 x) | |
| 796 | (if (stringp (nth 1 x)) | |
| 797 | (let ((exp (math-read-plain-expr | |
| 798 | (nth 1 x)))) | |
| 799 | (if (eq (car-safe exp) 'error) | |
| 800 | (error "Format error in definition of %s in units table: %s" | |
| 801 | (car x) (nth 2 exp)) | |
| 802 | exp)) | |
| 803 | (nth 1 x))) | |
| 804 | (nth 2 x) | |
| 805 | (nth 3 x) | |
| 806 | (and (not (nth 1 x)) | |
| 19bdc4d8 JB |
807 | (list (cons (car x) 1))) |
| 808 | (nth 4 x)))) | |
| 136211a9 EZ |
809 | combined-units)) |
| 810 | (let ((math-units-table tab)) | |
| 09040c8d | 811 | (mapc 'math-find-base-units tab)) |
| 136211a9 | 812 | (message "Building units table...done") |
| c9aef719 | 813 | (setq math-units-table tab)))) |
| 136211a9 | 814 | |
| 27971241 JB |
815 | ;; The variables math-fbu-base and math-fbu-entry are local to |
| 816 | ;; math-find-base-units, but are used by math-find-base-units-rec, | |
| 817 | ;; which is called by math-find-base-units. | |
| 818 | (defvar math-fbu-base) | |
| 819 | (defvar math-fbu-entry) | |
| 820 | ||
| 3effaa28 JB |
821 | (defun math-find-base-units (math-fbu-entry) |
| 822 | (if (eq (nth 4 math-fbu-entry) 'boom) | |
| 823 | (error "Circular definition involving unit %s" (car math-fbu-entry))) | |
| 824 | (or (nth 4 math-fbu-entry) | |
| 825 | (let (math-fbu-base) | |
| 826 | (setcar (nthcdr 4 math-fbu-entry) 'boom) | |
| 827 | (math-find-base-units-rec (nth 1 math-fbu-entry) 1) | |
| 828 | '(or math-fbu-base | |
| 829 | (error "Dimensionless definition for unit %s" (car math-fbu-entry))) | |
| 830 | (while (eq (cdr (car math-fbu-base)) 0) | |
| 831 | (setq math-fbu-base (cdr math-fbu-base))) | |
| 832 | (let ((b math-fbu-base)) | |
| 136211a9 EZ |
833 | (while (cdr b) |
| 834 | (if (eq (cdr (car (cdr b))) 0) | |
| 835 | (setcdr b (cdr (cdr b))) | |
| 836 | (setq b (cdr b))))) | |
| 3effaa28 JB |
837 | (setq math-fbu-base (sort math-fbu-base 'math-compare-unit-names)) |
| 838 | (setcar (nthcdr 4 math-fbu-entry) math-fbu-base) | |
| 839 | math-fbu-base))) | |
| 136211a9 EZ |
840 | |
| 841 | (defun math-compare-unit-names (a b) | |
| 27971241 | 842 | (memq (car b) (cdr (memq (car a) math-cu-unit-list)))) |
| 136211a9 EZ |
843 | |
| 844 | (defun math-find-base-units-rec (expr pow) | |
| 845 | (let ((u (math-check-unit-name expr))) | |
| 846 | (cond (u | |
| 847 | (let ((ulist (math-find-base-units u))) | |
| 848 | (while ulist | |
| 849 | (let ((p (* (cdr (car ulist)) pow)) | |
| 3effaa28 | 850 | (old (assq (car (car ulist)) math-fbu-base))) |
| 136211a9 EZ |
851 | (if old |
| 852 | (setcdr old (+ (cdr old) p)) | |
| 09040c8d | 853 | (setq math-fbu-base |
| 3effaa28 | 854 | (cons (cons (car (car ulist)) p) math-fbu-base)))) |
| 136211a9 EZ |
855 | (setq ulist (cdr ulist))))) |
| 856 | ((math-scalarp expr)) | |
| 857 | ((and (eq (car expr) '^) | |
| 858 | (integerp (nth 2 expr))) | |
| 859 | (math-find-base-units-rec (nth 1 expr) (* pow (nth 2 expr)))) | |
| 860 | ((eq (car expr) '*) | |
| 861 | (math-find-base-units-rec (nth 1 expr) pow) | |
| 862 | (math-find-base-units-rec (nth 2 expr) pow)) | |
| 863 | ((eq (car expr) '/) | |
| 864 | (math-find-base-units-rec (nth 1 expr) pow) | |
| 865 | (math-find-base-units-rec (nth 2 expr) (- pow))) | |
| 866 | ((eq (car expr) 'neg) | |
| 867 | (math-find-base-units-rec (nth 1 expr) pow)) | |
| 868 | ((eq (car expr) '+) | |
| 869 | (math-find-base-units-rec (nth 1 expr) pow)) | |
| 870 | ((eq (car expr) 'var) | |
| 871 | (or (eq (nth 1 expr) 'pi) | |
| 872 | (error "Unknown name %s in defining expression for unit %s" | |
| 3effaa28 JB |
873 | (nth 1 expr) (car math-fbu-entry)))) |
| 874 | (t (error "Malformed defining expression for unit %s" (car math-fbu-entry)))))) | |
| 136211a9 EZ |
875 | |
| 876 | ||
| 877 | (defun math-units-in-expr-p (expr sub-exprs) | |
| 878 | (and (consp expr) | |
| 879 | (if (eq (car expr) 'var) | |
| 880 | (math-check-unit-name expr) | |
| 881 | (and (or sub-exprs | |
| 882 | (memq (car expr) '(* / ^))) | |
| 883 | (or (math-units-in-expr-p (nth 1 expr) sub-exprs) | |
| c9aef719 | 884 | (math-units-in-expr-p (nth 2 expr) sub-exprs)))))) |
| 136211a9 EZ |
885 | |
| 886 | (defun math-only-units-in-expr-p (expr) | |
| 887 | (and (consp expr) | |
| 888 | (if (eq (car expr) 'var) | |
| 889 | (math-check-unit-name expr) | |
| 890 | (if (memq (car expr) '(* /)) | |
| 891 | (and (math-only-units-in-expr-p (nth 1 expr)) | |
| 892 | (math-only-units-in-expr-p (nth 2 expr))) | |
| 893 | (and (eq (car expr) '^) | |
| 894 | (and (math-only-units-in-expr-p (nth 1 expr)) | |
| c9aef719 | 895 | (math-realp (nth 2 expr)))))))) |
| 136211a9 EZ |
896 | |
| 897 | (defun math-single-units-in-expr-p (expr) | |
| 898 | (cond ((math-scalarp expr) nil) | |
| 899 | ((eq (car expr) 'var) | |
| 900 | (math-check-unit-name expr)) | |
| 901 | ((eq (car expr) '*) | |
| 902 | (let ((u1 (math-single-units-in-expr-p (nth 1 expr))) | |
| 903 | (u2 (math-single-units-in-expr-p (nth 2 expr)))) | |
| 904 | (or (and u1 u2 'wrong) | |
| 905 | u1 | |
| 906 | u2))) | |
| 907 | ((eq (car expr) '/) | |
| 908 | (if (math-units-in-expr-p (nth 2 expr) nil) | |
| 909 | 'wrong | |
| 910 | (math-single-units-in-expr-p (nth 1 expr)))) | |
| c9aef719 | 911 | (t 'wrong))) |
| 136211a9 EZ |
912 | |
| 913 | (defun math-check-unit-name (v) | |
| 914 | (and (eq (car-safe v) 'var) | |
| 915 | (or (assq (nth 1 v) (or math-units-table (math-build-units-table))) | |
| 916 | (let ((name (symbol-name (nth 1 v)))) | |
| 917 | (and (> (length name) 1) | |
| 918 | (assq (aref name 0) math-unit-prefixes) | |
| 919 | (or (assq (intern (substring name 1)) math-units-table) | |
| 920 | (and (eq (aref name 0) ?M) | |
| 921 | (> (length name) 3) | |
| 922 | (eq (aref name 1) ?e) | |
| 923 | (eq (aref name 2) ?g) | |
| 924 | (assq (intern (substring name 3)) | |
| c9aef719 | 925 | math-units-table)))))))) |
| 136211a9 | 926 | |
| 27971241 JB |
927 | ;; The variable math-which-standard is local to math-to-standard-units, |
| 928 | ;; but is used by math-to-standard-rec, which is called by | |
| 929 | ;; math-to-standard-units. | |
| 930 | (defvar math-which-standard) | |
| 136211a9 | 931 | |
| 27971241 | 932 | (defun math-to-standard-units (expr math-which-standard) |
| c9aef719 | 933 | (math-to-standard-rec expr)) |
| 136211a9 EZ |
934 | |
| 935 | (defun math-to-standard-rec (expr) | |
| 936 | (if (eq (car-safe expr) 'var) | |
| 937 | (let ((u (math-check-unit-name expr)) | |
| 938 | (base (nth 1 expr))) | |
| 939 | (if u | |
| 940 | (progn | |
| 941 | (if (nth 1 u) | |
| 942 | (setq expr (math-to-standard-rec (nth 1 u))) | |
| 27971241 | 943 | (let ((st (assq (car u) math-which-standard))) |
| 136211a9 EZ |
944 | (if st |
| 945 | (setq expr (nth 1 st)) | |
| 946 | (setq expr (list 'var (car u) | |
| 947 | (intern (concat "var-" | |
| 948 | (symbol-name | |
| 949 | (car u))))))))) | |
| 950 | (or (null u) | |
| 951 | (eq base (car u)) | |
| 952 | (setq expr (list '* | |
| 953 | (nth 1 (assq (aref (symbol-name base) 0) | |
| 954 | math-unit-prefixes)) | |
| 955 | expr))) | |
| 956 | expr) | |
| 957 | (if (eq base 'pi) | |
| 958 | (math-pi) | |
| 959 | expr))) | |
| 960 | (if (Math-primp expr) | |
| 961 | expr | |
| 962 | (cons (car expr) | |
| c9aef719 | 963 | (mapcar 'math-to-standard-rec (cdr expr)))))) |
| 136211a9 EZ |
964 | |
| 965 | (defun math-apply-units (expr units ulist &optional pure) | |
| 2e2b4fbe | 966 | (setq expr (math-simplify-units expr)) |
| 136211a9 EZ |
967 | (if ulist |
| 968 | (let ((new 0) | |
| 969 | value) | |
| 136211a9 EZ |
970 | (or (math-numberp expr) |
| 971 | (error "Incompatible units")) | |
| 972 | (while (cdr ulist) | |
| 973 | (setq value (math-div expr (nth 1 (car ulist))) | |
| 974 | value (math-floor (let ((calc-internal-prec | |
| 975 | (1- calc-internal-prec))) | |
| 976 | (math-normalize value))) | |
| 977 | new (math-add new (math-mul value (car (car ulist)))) | |
| 978 | expr (math-sub expr (math-mul value (nth 1 (car ulist)))) | |
| 979 | ulist (cdr ulist))) | |
| 980 | (math-add new (math-mul (math-div expr (nth 1 (car ulist))) | |
| 981 | (car (car ulist))))) | |
| 2e2b4fbe JB |
982 | (if pure |
| 983 | expr | |
| 984 | (math-simplify-units (list '* expr units))))) | |
| 136211a9 | 985 | |
| 8cd8ee52 | 986 | (defvar math-decompose-units-cache nil) |
| 136211a9 EZ |
987 | (defun math-decompose-units (units) |
| 988 | (let ((u (math-check-unit-name units))) | |
| 989 | (and u (eq (car-safe (nth 1 u)) '+) | |
| 990 | (setq units (nth 1 u)))) | |
| 991 | (setq units (calcFunc-expand units)) | |
| 992 | (and (eq (car-safe units) '+) | |
| 993 | (let ((entry (list units calc-internal-prec calc-prefer-frac))) | |
| 994 | (or (equal entry (car math-decompose-units-cache)) | |
| 995 | (let ((ulist nil) | |
| 996 | (utemp units) | |
| 997 | qty unit) | |
| 998 | (while (eq (car-safe utemp) '+) | |
| 999 | (setq ulist (cons (math-decompose-unit-part (nth 2 utemp)) | |
| 1000 | ulist) | |
| 1001 | utemp (nth 1 utemp))) | |
| 1002 | (setq ulist (cons (math-decompose-unit-part utemp) ulist) | |
| 1003 | utemp ulist) | |
| 1004 | (while (setq utemp (cdr utemp)) | |
| 8cd8ee52 CW |
1005 | (unless (equal (nth 2 (car utemp)) (nth 2 (car ulist))) |
| 1006 | (error "Inconsistent units in sum"))) | |
| 136211a9 EZ |
1007 | (setq math-decompose-units-cache |
| 1008 | (cons entry | |
| 1009 | (sort ulist | |
| 1010 | (function | |
| 1011 | (lambda (x y) | |
| 1012 | (not (Math-lessp (nth 1 x) | |
| 1013 | (nth 1 y)))))))))) | |
| c9aef719 | 1014 | (cdr math-decompose-units-cache)))) |
| 136211a9 EZ |
1015 | |
| 1016 | (defun math-decompose-unit-part (unit) | |
| 1017 | (cons unit | |
| 1018 | (math-is-multiple (math-simplify-units (math-to-standard-units | |
| 1019 | unit nil)) | |
| c9aef719 | 1020 | t))) |
| 136211a9 | 1021 | |
| 27971241 JB |
1022 | ;; The variable math-fcu-u is local to math-find-compatible-unit, |
| 1023 | ;; but is used by math-find-compatible-rec which is called by | |
| 1024 | ;; math-find-compatible-unit. | |
| 1025 | (defvar math-fcu-u) | |
| 1026 | ||
| 136211a9 | 1027 | (defun math-find-compatible-unit (expr unit) |
| 27971241 JB |
1028 | (let ((math-fcu-u (math-check-unit-name unit))) |
| 1029 | (if math-fcu-u | |
| c9aef719 | 1030 | (math-find-compatible-unit-rec expr 1)))) |
| 136211a9 EZ |
1031 | |
| 1032 | (defun math-find-compatible-unit-rec (expr pow) | |
| 1033 | (cond ((eq (car-safe expr) '*) | |
| 1034 | (or (math-find-compatible-unit-rec (nth 1 expr) pow) | |
| 1035 | (math-find-compatible-unit-rec (nth 2 expr) pow))) | |
| 1036 | ((eq (car-safe expr) '/) | |
| 1037 | (or (math-find-compatible-unit-rec (nth 1 expr) pow) | |
| 1038 | (math-find-compatible-unit-rec (nth 2 expr) (- pow)))) | |
| 1039 | ((and (eq (car-safe expr) '^) | |
| 1040 | (integerp (nth 2 expr))) | |
| 1041 | (math-find-compatible-unit-rec (nth 1 expr) (* pow (nth 2 expr)))) | |
| 1042 | (t | |
| 1043 | (let ((u2 (math-check-unit-name expr))) | |
| 27971241 | 1044 | (if (equal (nth 4 math-fcu-u) (nth 4 u2)) |
| c9aef719 | 1045 | (cons expr pow)))))) |
| 136211a9 | 1046 | |
| 09040c8d JB |
1047 | ;; The variables math-cu-new-units and math-cu-pure are local to |
| 1048 | ;; math-convert-units, but are used by math-convert-units-rec, | |
| 27971241 JB |
1049 | ;; which is called by math-convert-units. |
| 1050 | (defvar math-cu-new-units) | |
| 1051 | (defvar math-cu-pure) | |
| 1052 | ||
| 1053 | (defun math-convert-units (expr math-cu-new-units &optional math-cu-pure) | |
| 65b62d0a JB |
1054 | (if (eq (car-safe math-cu-new-units) 'var) |
| 1055 | (let ((unew (assq (nth 1 math-cu-new-units) | |
| 1056 | (math-build-units-table)))) | |
| 1057 | (if (eq (car-safe (nth 1 unew)) '+) | |
| 1058 | (setq math-cu-new-units (nth 1 unew))))) | |
| 136211a9 | 1059 | (math-with-extra-prec 2 |
| 09040c8d | 1060 | (let ((compat (and (not math-cu-pure) |
| 27971241 JB |
1061 | (math-find-compatible-unit expr math-cu-new-units))) |
| 1062 | (math-cu-unit-list nil) | |
| 136211a9 EZ |
1063 | (math-combining-units nil)) |
| 1064 | (if compat | |
| 1065 | (math-simplify-units | |
| 1066 | (math-mul (math-mul (math-simplify-units | |
| 1067 | (math-div expr (math-pow (car compat) | |
| 1068 | (cdr compat)))) | |
| 27971241 | 1069 | (math-pow math-cu-new-units (cdr compat))) |
| 136211a9 EZ |
1070 | (math-simplify-units |
| 1071 | (math-to-standard-units | |
| 27971241 | 1072 | (math-pow (math-div (car compat) math-cu-new-units) |
| 136211a9 EZ |
1073 | (cdr compat)) |
| 1074 | nil)))) | |
| 27971241 JB |
1075 | (when (setq math-cu-unit-list (math-decompose-units math-cu-new-units)) |
| 1076 | (setq math-cu-new-units (nth 2 (car math-cu-unit-list)))) | |
| 8cd8ee52 CW |
1077 | (when (eq (car-safe expr) '+) |
| 1078 | (setq expr (math-simplify-units expr))) | |
| 136211a9 EZ |
1079 | (if (math-units-in-expr-p expr t) |
| 1080 | (math-convert-units-rec expr) | |
| 1081 | (math-apply-units (math-to-standard-units | |
| 27971241 JB |
1082 | (list '/ expr math-cu-new-units) nil) |
| 1083 | math-cu-new-units math-cu-unit-list math-cu-pure)))))) | |
| 136211a9 EZ |
1084 | |
| 1085 | (defun math-convert-units-rec (expr) | |
| 1086 | (if (math-units-in-expr-p expr nil) | |
| 09040c8d | 1087 | (math-apply-units (math-to-standard-units |
| 27971241 JB |
1088 | (list '/ expr math-cu-new-units) nil) |
| 1089 | math-cu-new-units math-cu-unit-list math-cu-pure) | |
| 136211a9 EZ |
1090 | (if (Math-primp expr) |
| 1091 | expr | |
| 1092 | (cons (car expr) | |
| c9aef719 | 1093 | (mapcar 'math-convert-units-rec (cdr expr)))))) |
| 136211a9 EZ |
1094 | |
| 1095 | (defun math-convert-temperature (expr old new &optional pure) | |
| 1096 | (let* ((units (math-single-units-in-expr-p expr)) | |
| 1097 | (uold (if old | |
| 1098 | (if (or (null units) | |
| 1099 | (equal (nth 1 old) (car units))) | |
| 1100 | (math-check-unit-name old) | |
| 1101 | (error "Inconsistent temperature units")) | |
| 1102 | units)) | |
| 1103 | (unew (math-check-unit-name new))) | |
| 8cd8ee52 CW |
1104 | (unless (and (consp unew) (nth 3 unew)) |
| 1105 | (error "Not a valid temperature unit")) | |
| 1106 | (unless (and (consp uold) (nth 3 uold)) | |
| 1107 | (error "Not a pure temperature expression")) | |
| 136211a9 EZ |
1108 | (let ((v (car uold))) |
| 1109 | (setq expr (list '/ expr (list 'var v | |
| 1110 | (intern (concat "var-" | |
| 1111 | (symbol-name v))))))) | |
| 1112 | (or (eq (nth 3 uold) (nth 3 unew)) | |
| 1113 | (cond ((eq (nth 3 uold) 'K) | |
| e6cd99dc | 1114 | (setq expr (list '- expr '(/ 27315 100))) |
| 136211a9 | 1115 | (if (eq (nth 3 unew) 'F) |
| e6cd99dc | 1116 | (setq expr (list '+ (list '* expr '(/ 9 5)) 32)))) |
| 136211a9 EZ |
1117 | ((eq (nth 3 uold) 'C) |
| 1118 | (if (eq (nth 3 unew) 'F) | |
| e6cd99dc JB |
1119 | (setq expr (list '+ (list '* expr '(/ 9 5)) 32)) |
| 1120 | (setq expr (list '+ expr '(/ 27315 100))))) | |
| 136211a9 | 1121 | (t |
| e6cd99dc | 1122 | (setq expr (list '* (list '- expr 32) '(/ 5 9))) |
| 136211a9 | 1123 | (if (eq (nth 3 unew) 'K) |
| e6cd99dc | 1124 | (setq expr (list '+ expr '(/ 27315 100))))))) |
| 136211a9 EZ |
1125 | (if pure |
| 1126 | expr | |
| c9aef719 | 1127 | (list '* expr new)))) |
| 136211a9 EZ |
1128 | |
| 1129 | ||
| 1130 | ||
| 1131 | (defun math-simplify-units (a) | |
| 1132 | (let ((math-simplifying-units t) | |
| 1133 | (calc-matrix-mode 'scalar)) | |
| c9aef719 | 1134 | (math-simplify a))) |
| 8cd8ee52 | 1135 | (defalias 'calcFunc-usimplify 'math-simplify-units) |
| 136211a9 | 1136 | |
| f095c6c9 JB |
1137 | ;; The function created by math-defsimplify uses the variable |
| 1138 | ;; math-simplify-expr, and so is used by functions in math-defsimplify | |
| 1139 | (defvar math-simplify-expr) | |
| 1140 | ||
| 136211a9 EZ |
1141 | (math-defsimplify (+ -) |
| 1142 | (and math-simplifying-units | |
| f095c6c9 JB |
1143 | (math-units-in-expr-p (nth 1 math-simplify-expr) nil) |
| 1144 | (let* ((units (math-extract-units (nth 1 math-simplify-expr))) | |
| 136211a9 | 1145 | (ratio (math-simplify (math-to-standard-units |
| f095c6c9 | 1146 | (list '/ (nth 2 math-simplify-expr) units) nil)))) |
| 136211a9 EZ |
1147 | (if (math-units-in-expr-p ratio nil) |
| 1148 | (progn | |
| f095c6c9 JB |
1149 | (calc-record-why "*Inconsistent units" math-simplify-expr) |
| 1150 | math-simplify-expr) | |
| 1151 | (list '* (math-add (math-remove-units (nth 1 math-simplify-expr)) | |
| 09040c8d | 1152 | (if (eq (car math-simplify-expr) '-) |
| f095c6c9 | 1153 | (math-neg ratio) ratio)) |
| c9aef719 | 1154 | units))))) |
| 136211a9 EZ |
1155 | |
| 1156 | (math-defsimplify * | |
| c9aef719 | 1157 | (math-simplify-units-prod)) |
| 136211a9 EZ |
1158 | |
| 1159 | (defun math-simplify-units-prod () | |
| 1160 | (and math-simplifying-units | |
| 1161 | calc-autorange-units | |
| f095c6c9 JB |
1162 | (Math-realp (nth 1 math-simplify-expr)) |
| 1163 | (let* ((num (math-float (nth 1 math-simplify-expr))) | |
| 136211a9 | 1164 | (xpon (calcFunc-xpon num)) |
| f095c6c9 | 1165 | (unitp (cdr (cdr math-simplify-expr))) |
| 136211a9 | 1166 | (unit (car unitp)) |
| f095c6c9 | 1167 | (pow (if (eq (car math-simplify-expr) '*) 1 -1)) |
| 136211a9 EZ |
1168 | u) |
| 1169 | (and (eq (car-safe unit) '*) | |
| 1170 | (setq unitp (cdr unit) | |
| 1171 | unit (car unitp))) | |
| 1172 | (and (eq (car-safe unit) '^) | |
| 1173 | (integerp (nth 2 unit)) | |
| 1174 | (setq pow (* pow (nth 2 unit)) | |
| 1175 | unitp (cdr unit) | |
| 1176 | unit (car unitp))) | |
| 1177 | (and (setq u (math-check-unit-name unit)) | |
| 1178 | (integerp xpon) | |
| 1179 | (or (< xpon 0) | |
| 1180 | (>= xpon (if (eq (car u) 'm) 1 3))) | |
| 1181 | (let* ((uxpon 0) | |
| 1182 | (pref (if (< pow 0) | |
| 1183 | (reverse math-unit-prefixes) | |
| 1184 | math-unit-prefixes)) | |
| 1185 | (p pref) | |
| 1186 | pxpon pname) | |
| 1187 | (or (eq (car u) (nth 1 unit)) | |
| 1188 | (setq uxpon (* pow | |
| 1189 | (nth 2 (nth 1 (assq | |
| 1190 | (aref (symbol-name | |
| 1191 | (nth 1 unit)) 0) | |
| 1192 | math-unit-prefixes)))))) | |
| 1193 | (setq xpon (+ xpon uxpon)) | |
| 1194 | (while (and p | |
| 1195 | (or (memq (car (car p)) '(?d ?D ?h ?H)) | |
| 1196 | (and (eq (car (car p)) ?c) | |
| 1197 | (not (eq (car u) 'm))) | |
| 1198 | (< xpon (setq pxpon (* (nth 2 (nth 1 (car p))) | |
| 1199 | pow))) | |
| 1200 | (progn | |
| 1201 | (setq pname (math-build-var-name | |
| 1202 | (if (eq (car (car p)) 0) | |
| 1203 | (car u) | |
| 1204 | (concat (char-to-string | |
| 1205 | (car (car p))) | |
| 1206 | (symbol-name | |
| 1207 | (car u)))))) | |
| 1208 | (and (/= (car (car p)) 0) | |
| 1209 | (assq (nth 1 pname) | |
| 1210 | math-units-table))))) | |
| 1211 | (setq p (cdr p))) | |
| 1212 | (and p | |
| 1213 | (/= pxpon uxpon) | |
| 1214 | (or (not (eq p pref)) | |
| 1215 | (< xpon (+ pxpon (* (math-abs pow) 3)))) | |
| 1216 | (progn | |
| f095c6c9 | 1217 | (setcar (cdr math-simplify-expr) |
| 136211a9 | 1218 | (let ((calc-prefer-frac nil)) |
| f095c6c9 | 1219 | (calcFunc-scf (nth 1 math-simplify-expr) |
| 136211a9 EZ |
1220 | (- uxpon pxpon)))) |
| 1221 | (setcar unitp pname) | |
| f095c6c9 | 1222 | math-simplify-expr))))))) |
| 136211a9 | 1223 | |
| 27971241 JB |
1224 | (defvar math-try-cancel-units) |
| 1225 | ||
| 136211a9 EZ |
1226 | (math-defsimplify / |
| 1227 | (and math-simplifying-units | |
| f095c6c9 | 1228 | (let ((np (cdr math-simplify-expr)) |
| 27971241 | 1229 | (math-try-cancel-units 0) |
| 136211a9 | 1230 | n nn) |
| f095c6c9 JB |
1231 | (setq n (if (eq (car-safe (nth 2 math-simplify-expr)) '*) |
| 1232 | (cdr (nth 2 math-simplify-expr)) | |
| 1233 | (nthcdr 2 math-simplify-expr))) | |
| 136211a9 EZ |
1234 | (if (math-realp (car n)) |
| 1235 | (progn | |
| f095c6c9 | 1236 | (setcar (cdr math-simplify-expr) (math-mul (nth 1 math-simplify-expr) |
| 136211a9 EZ |
1237 | (let ((calc-prefer-frac nil)) |
| 1238 | (math-div 1 (car n))))) | |
| 1239 | (setcar n 1))) | |
| 1240 | (while (eq (car-safe (setq n (car np))) '*) | |
| f095c6c9 | 1241 | (math-simplify-units-divisor (cdr n) (cdr (cdr math-simplify-expr))) |
| 136211a9 | 1242 | (setq np (cdr (cdr n)))) |
| f095c6c9 | 1243 | (math-simplify-units-divisor np (cdr (cdr math-simplify-expr))) |
| 27971241 | 1244 | (if (eq math-try-cancel-units 0) |
| 136211a9 | 1245 | (let* ((math-simplifying-units nil) |
| 09040c8d | 1246 | (base (math-simplify |
| f095c6c9 | 1247 | (math-to-standard-units math-simplify-expr nil)))) |
| 136211a9 | 1248 | (if (Math-numberp base) |
| f095c6c9 JB |
1249 | (setq math-simplify-expr base)))) |
| 1250 | (if (eq (car-safe math-simplify-expr) '/) | |
| 136211a9 | 1251 | (math-simplify-units-prod)) |
| f095c6c9 | 1252 | math-simplify-expr))) |
| 136211a9 EZ |
1253 | |
| 1254 | (defun math-simplify-units-divisor (np dp) | |
| 1255 | (let ((n (car np)) | |
| 1256 | d dd temp) | |
| 1257 | (while (eq (car-safe (setq d (car dp))) '*) | |
| 8cd8ee52 CW |
1258 | (when (setq temp (math-simplify-units-quotient n (nth 1 d))) |
| 1259 | (setcar np (setq n temp)) | |
| 1260 | (setcar (cdr d) 1)) | |
| 136211a9 | 1261 | (setq dp (cdr (cdr d)))) |
| 8cd8ee52 CW |
1262 | (when (setq temp (math-simplify-units-quotient n d)) |
| 1263 | (setcar np (setq n temp)) | |
| 1264 | (setcar dp 1)))) | |
| 136211a9 EZ |
1265 | |
| 1266 | ;; Simplify, e.g., "in / cm" to "2.54" in a units expression. | |
| 1267 | (defun math-simplify-units-quotient (n d) | |
| 1268 | (let ((pow1 1) | |
| 1269 | (pow2 1)) | |
| 8cd8ee52 CW |
1270 | (when (and (eq (car-safe n) '^) |
| 1271 | (integerp (nth 2 n))) | |
| 1272 | (setq pow1 (nth 2 n) n (nth 1 n))) | |
| 1273 | (when (and (eq (car-safe d) '^) | |
| 1274 | (integerp (nth 2 d))) | |
| 1275 | (setq pow2 (nth 2 d) d (nth 1 d))) | |
| 136211a9 EZ |
1276 | (let ((un (math-check-unit-name n)) |
| 1277 | (ud (math-check-unit-name d))) | |
| 1278 | (and un ud | |
| 1279 | (if (and (equal (nth 4 un) (nth 4 ud)) | |
| 1280 | (eq pow1 pow2)) | |
| 0317ca78 JB |
1281 | (if (eq pow1 1) |
| 1282 | (math-to-standard-units (list '/ n d) nil) | |
| 1283 | (list '^ (math-to-standard-units (list '/ n d) nil) pow1)) | |
| 136211a9 EZ |
1284 | (let (ud1) |
| 1285 | (setq un (nth 4 un) | |
| 1286 | ud (nth 4 ud)) | |
| 1287 | (while un | |
| 1288 | (setq ud1 ud) | |
| 1289 | (while ud1 | |
| 1290 | (and (eq (car (car un)) (car (car ud1))) | |
| 27971241 JB |
1291 | (setq math-try-cancel-units |
| 1292 | (+ math-try-cancel-units | |
| 136211a9 EZ |
1293 | (- (* (cdr (car un)) pow1) |
| 1294 | (* (cdr (car ud)) pow2))))) | |
| 1295 | (setq ud1 (cdr ud1))) | |
| 1296 | (setq un (cdr un))) | |
| c9aef719 | 1297 | nil)))))) |
| 136211a9 EZ |
1298 | |
| 1299 | (math-defsimplify ^ | |
| 1300 | (and math-simplifying-units | |
| f095c6c9 JB |
1301 | (math-realp (nth 2 math-simplify-expr)) |
| 1302 | (if (memq (car-safe (nth 1 math-simplify-expr)) '(* /)) | |
| 1303 | (list (car (nth 1 math-simplify-expr)) | |
| 09040c8d | 1304 | (list '^ (nth 1 (nth 1 math-simplify-expr)) |
| f095c6c9 | 1305 | (nth 2 math-simplify-expr)) |
| 09040c8d | 1306 | (list '^ (nth 2 (nth 1 math-simplify-expr)) |
| f095c6c9 | 1307 | (nth 2 math-simplify-expr))) |
| 09040c8d | 1308 | (math-simplify-units-pow (nth 1 math-simplify-expr) |
| f095c6c9 | 1309 | (nth 2 math-simplify-expr))))) |
| 136211a9 EZ |
1310 | |
| 1311 | (math-defsimplify calcFunc-sqrt | |
| 1312 | (and math-simplifying-units | |
| f095c6c9 JB |
1313 | (if (memq (car-safe (nth 1 math-simplify-expr)) '(* /)) |
| 1314 | (list (car (nth 1 math-simplify-expr)) | |
| 1315 | (list 'calcFunc-sqrt (nth 1 (nth 1 math-simplify-expr))) | |
| 1316 | (list 'calcFunc-sqrt (nth 2 (nth 1 math-simplify-expr)))) | |
| 1317 | (math-simplify-units-pow (nth 1 math-simplify-expr) '(frac 1 2))))) | |
| 136211a9 EZ |
1318 | |
| 1319 | (math-defsimplify (calcFunc-floor | |
| 1320 | calcFunc-ceil | |
| 1321 | calcFunc-round | |
| 1322 | calcFunc-rounde | |
| 1323 | calcFunc-roundu | |
| 1324 | calcFunc-trunc | |
| 1325 | calcFunc-float | |
| 1326 | calcFunc-frac | |
| 1327 | calcFunc-abs | |
| 1328 | calcFunc-clean) | |
| 1329 | (and math-simplifying-units | |
| f095c6c9 JB |
1330 | (= (length math-simplify-expr) 2) |
| 1331 | (if (math-only-units-in-expr-p (nth 1 math-simplify-expr)) | |
| 1332 | (nth 1 math-simplify-expr) | |
| 1333 | (if (and (memq (car-safe (nth 1 math-simplify-expr)) '(* /)) | |
| 136211a9 | 1334 | (or (math-only-units-in-expr-p |
| f095c6c9 | 1335 | (nth 1 (nth 1 math-simplify-expr))) |
| 136211a9 | 1336 | (math-only-units-in-expr-p |
| f095c6c9 JB |
1337 | (nth 2 (nth 1 math-simplify-expr))))) |
| 1338 | (list (car (nth 1 math-simplify-expr)) | |
| 1339 | (cons (car math-simplify-expr) | |
| 1340 | (cons (nth 1 (nth 1 math-simplify-expr)) | |
| 1341 | (cdr (cdr math-simplify-expr)))) | |
| 1342 | (cons (car math-simplify-expr) | |
| 1343 | (cons (nth 2 (nth 1 math-simplify-expr)) | |
| 1344 | (cdr (cdr math-simplify-expr))))))))) | |
| 136211a9 EZ |
1345 | |
| 1346 | (defun math-simplify-units-pow (a pow) | |
| 1347 | (if (and (eq (car-safe a) '^) | |
| 1348 | (math-check-unit-name (nth 1 a)) | |
| 1349 | (math-realp (nth 2 a))) | |
| 1350 | (list '^ (nth 1 a) (math-mul pow (nth 2 a))) | |
| 1351 | (let* ((u (math-check-unit-name a)) | |
| 1352 | (pf (math-to-simple-fraction pow)) | |
| 1353 | (d (and (eq (car-safe pf) 'frac) (nth 2 pf)))) | |
| 1354 | (and u d | |
| 1355 | (math-units-are-multiple u d) | |
| c9aef719 | 1356 | (list '^ (math-to-standard-units a nil) pow))))) |
| 136211a9 EZ |
1357 | |
| 1358 | ||
| 1359 | (defun math-units-are-multiple (u n) | |
| 1360 | (setq u (nth 4 u)) | |
| 1361 | (while (and u (= (% (cdr (car u)) n) 0)) | |
| 1362 | (setq u (cdr u))) | |
| c9aef719 | 1363 | (null u)) |
| 136211a9 EZ |
1364 | |
| 1365 | (math-defsimplify calcFunc-sin | |
| 1366 | (and math-simplifying-units | |
| f095c6c9 | 1367 | (math-units-in-expr-p (nth 1 math-simplify-expr) nil) |
| 136211a9 EZ |
1368 | (let ((rad (math-simplify-units |
| 1369 | (math-evaluate-expr | |
| f095c6c9 | 1370 | (math-to-standard-units (nth 1 math-simplify-expr) nil)))) |
| 136211a9 EZ |
1371 | (calc-angle-mode 'rad)) |
| 1372 | (and (eq (car-safe rad) '*) | |
| 1373 | (math-realp (nth 1 rad)) | |
| 1374 | (eq (car-safe (nth 2 rad)) 'var) | |
| 1375 | (eq (nth 1 (nth 2 rad)) 'rad) | |
| c9aef719 | 1376 | (list 'calcFunc-sin (nth 1 rad)))))) |
| 136211a9 EZ |
1377 | |
| 1378 | (math-defsimplify calcFunc-cos | |
| 1379 | (and math-simplifying-units | |
| f095c6c9 | 1380 | (math-units-in-expr-p (nth 1 math-simplify-expr) nil) |
| 136211a9 EZ |
1381 | (let ((rad (math-simplify-units |
| 1382 | (math-evaluate-expr | |
| f095c6c9 | 1383 | (math-to-standard-units (nth 1 math-simplify-expr) nil)))) |
| 136211a9 EZ |
1384 | (calc-angle-mode 'rad)) |
| 1385 | (and (eq (car-safe rad) '*) | |
| 1386 | (math-realp (nth 1 rad)) | |
| 1387 | (eq (car-safe (nth 2 rad)) 'var) | |
| 1388 | (eq (nth 1 (nth 2 rad)) 'rad) | |
| c9aef719 | 1389 | (list 'calcFunc-cos (nth 1 rad)))))) |
| 136211a9 EZ |
1390 | |
| 1391 | (math-defsimplify calcFunc-tan | |
| 1392 | (and math-simplifying-units | |
| f095c6c9 | 1393 | (math-units-in-expr-p (nth 1 math-simplify-expr) nil) |
| 136211a9 EZ |
1394 | (let ((rad (math-simplify-units |
| 1395 | (math-evaluate-expr | |
| f095c6c9 | 1396 | (math-to-standard-units (nth 1 math-simplify-expr) nil)))) |
| 136211a9 EZ |
1397 | (calc-angle-mode 'rad)) |
| 1398 | (and (eq (car-safe rad) '*) | |
| 1399 | (math-realp (nth 1 rad)) | |
| 1400 | (eq (car-safe (nth 2 rad)) 'var) | |
| 1401 | (eq (nth 1 (nth 2 rad)) 'rad) | |
| c9aef719 | 1402 | (list 'calcFunc-tan (nth 1 rad)))))) |
| 136211a9 | 1403 | |
| 40b444ac JB |
1404 | (math-defsimplify calcFunc-sec |
| 1405 | (and math-simplifying-units | |
| 1406 | (math-units-in-expr-p (nth 1 math-simplify-expr) nil) | |
| 1407 | (let ((rad (math-simplify-units | |
| 1408 | (math-evaluate-expr | |
| 1409 | (math-to-standard-units (nth 1 math-simplify-expr) nil)))) | |
| 1410 | (calc-angle-mode 'rad)) | |
| 1411 | (and (eq (car-safe rad) '*) | |
| 1412 | (math-realp (nth 1 rad)) | |
| 1413 | (eq (car-safe (nth 2 rad)) 'var) | |
| 1414 | (eq (nth 1 (nth 2 rad)) 'rad) | |
| 1415 | (list 'calcFunc-sec (nth 1 rad)))))) | |
| 1416 | ||
| 1417 | (math-defsimplify calcFunc-csc | |
| 1418 | (and math-simplifying-units | |
| 1419 | (math-units-in-expr-p (nth 1 math-simplify-expr) nil) | |
| 1420 | (let ((rad (math-simplify-units | |
| 1421 | (math-evaluate-expr | |
| 1422 | (math-to-standard-units (nth 1 math-simplify-expr) nil)))) | |
| 1423 | (calc-angle-mode 'rad)) | |
| 1424 | (and (eq (car-safe rad) '*) | |
| 1425 | (math-realp (nth 1 rad)) | |
| 1426 | (eq (car-safe (nth 2 rad)) 'var) | |
| 1427 | (eq (nth 1 (nth 2 rad)) 'rad) | |
| 1428 | (list 'calcFunc-csc (nth 1 rad)))))) | |
| 1429 | ||
| 1430 | (math-defsimplify calcFunc-cot | |
| 1431 | (and math-simplifying-units | |
| 1432 | (math-units-in-expr-p (nth 1 math-simplify-expr) nil) | |
| 1433 | (let ((rad (math-simplify-units | |
| 1434 | (math-evaluate-expr | |
| 1435 | (math-to-standard-units (nth 1 math-simplify-expr) nil)))) | |
| 1436 | (calc-angle-mode 'rad)) | |
| 1437 | (and (eq (car-safe rad) '*) | |
| 1438 | (math-realp (nth 1 rad)) | |
| 1439 | (eq (car-safe (nth 2 rad)) 'var) | |
| 1440 | (eq (nth 1 (nth 2 rad)) 'rad) | |
| 1441 | (list 'calcFunc-cot (nth 1 rad)))))) | |
| 1442 | ||
| 136211a9 EZ |
1443 | |
| 1444 | (defun math-remove-units (expr) | |
| 1445 | (if (math-check-unit-name expr) | |
| 1446 | 1 | |
| 1447 | (if (Math-primp expr) | |
| 1448 | expr | |
| 1449 | (cons (car expr) | |
| c9aef719 | 1450 | (mapcar 'math-remove-units (cdr expr)))))) |
| 136211a9 EZ |
1451 | |
| 1452 | (defun math-extract-units (expr) | |
| 1453 | (if (memq (car-safe expr) '(* /)) | |
| 1454 | (cons (car expr) | |
| 1455 | (mapcar 'math-extract-units (cdr expr))) | |
| c9aef719 | 1456 | (if (math-check-unit-name expr) expr 1))) |
| 136211a9 EZ |
1457 | |
| 1458 | (defun math-build-units-table-buffer (enter-buffer) | |
| 1459 | (if (not (and math-units-table math-units-table-buffer-valid | |
| 1460 | (get-buffer "*Units Table*"))) | |
| 1461 | (let ((buf (get-buffer-create "*Units Table*")) | |
| 1462 | (uptr (math-build-units-table)) | |
| 1463 | (calc-language (if (eq calc-language 'big) nil calc-language)) | |
| 1464 | (calc-float-format '(float 0)) | |
| 1465 | (calc-group-digits nil) | |
| 1466 | (calc-number-radix 10) | |
| 7b999abb | 1467 | (calc-twos-complement-mode nil) |
| 136211a9 EZ |
1468 | (calc-point-char ".") |
| 1469 | (std nil) | |
| 1470 | u name shadowed) | |
| 1471 | (save-excursion | |
| 1472 | (message "Formatting units table...") | |
| 1473 | (set-buffer buf) | |
| ed8060d9 JB |
1474 | (let ((inhibit-read-only t)) |
| 1475 | (erase-buffer) | |
| 1476 | (insert "Calculator Units Table:\n\n") | |
| ac318df0 | 1477 | (insert "(All definitions are exact unless marked with an asterisk (*).)\n\n") |
| ed8060d9 JB |
1478 | (insert "Unit Type Definition Description\n\n") |
| 1479 | (while uptr | |
| 1480 | (setq u (car uptr) | |
| 1481 | name (nth 2 u)) | |
| 1482 | (when (eq (car u) 'm) | |
| 1483 | (setq std t)) | |
| 1484 | (setq shadowed (and std (assq (car u) math-additional-units))) | |
| 1485 | (when (and name | |
| 1486 | (> (length name) 1) | |
| 1487 | (eq (aref name 0) ?\*)) | |
| 1488 | (unless (eq uptr math-units-table) | |
| 1489 | (insert "\n")) | |
| 1490 | (setq name (substring name 1))) | |
| 1491 | (insert " ") | |
| 1492 | (and shadowed (insert "(")) | |
| 1493 | (insert (symbol-name (car u))) | |
| 1494 | (and shadowed (insert ")")) | |
| 1495 | (if (nth 3 u) | |
| 1496 | (progn | |
| 1497 | (indent-to 10) | |
| 1498 | (insert (symbol-name (nth 3 u)))) | |
| 1499 | (or std | |
| 1500 | (progn | |
| 1501 | (indent-to 10) | |
| 1502 | (insert "U")))) | |
| 1503 | (indent-to 14) | |
| 1504 | (and shadowed (insert "(")) | |
| 19bdc4d8 JB |
1505 | (if (nth 5 u) |
| 1506 | (insert (nth 5 u)) | |
| 1507 | (if (nth 1 u) | |
| 1508 | (insert (math-format-value (nth 1 u) 80)) | |
| 1509 | (insert (symbol-name (car u))))) | |
| ed8060d9 JB |
1510 | (and shadowed (insert ")")) |
| 1511 | (indent-to 41) | |
| 1512 | (insert " ") | |
| 1513 | (when name | |
| 1514 | (insert name)) | |
| 1515 | (if shadowed | |
| 1516 | (insert " (redefined above)") | |
| 1517 | (unless (nth 1 u) | |
| 1518 | (insert " (base unit)"))) | |
| 1519 | (insert "\n") | |
| 1520 | (setq uptr (cdr uptr))) | |
| 1521 | (insert "\n\nUnit Prefix Table:\n\n") | |
| 1522 | (setq uptr math-unit-prefixes) | |
| 1523 | (while uptr | |
| 1524 | (setq u (car uptr)) | |
| 1525 | (insert " " (char-to-string (car u))) | |
| 1526 | (if (equal (nth 1 u) (nth 1 (nth 1 uptr))) | |
| 1527 | (insert " " (char-to-string (car (car (setq uptr (cdr uptr))))) | |
| 1528 | " ") | |
| 1529 | (insert " ")) | |
| 1530 | (insert "10^" (int-to-string (nth 2 (nth 1 u)))) | |
| 1531 | (indent-to 15) | |
| 1532 | (insert " " (nth 2 u) "\n") | |
| 1533 | (while (eq (car (car (setq uptr (cdr uptr)))) 0))) | |
| 1265829e JB |
1534 | (insert "\n\n") |
| 1535 | (insert "(**) When in TeX or LaTeX display mode, the TeX specific unit\n" | |
| 1536 | "names will not use the `tex' prefix; the unit name for a\n" | |
| 1537 | "TeX point will be `pt' instead of `texpt', for example.\n" | |
| 1538 | "To avoid conflicts, the unit names for pint and parsec will\n" | |
| 1539 | "be `pint' and `parsec' instead of `pt' and `pc'.")) | |
| ed8060d9 | 1540 | (view-mode) |
| 136211a9 EZ |
1541 | (message "Formatting units table...done")) |
| 1542 | (setq math-units-table-buffer-valid t) | |
| 1543 | (let ((oldbuf (current-buffer))) | |
| 1544 | (set-buffer buf) | |
| 1545 | (goto-char (point-min)) | |
| 1546 | (set-buffer oldbuf)) | |
| 1547 | (if enter-buffer | |
| 1548 | (pop-to-buffer buf) | |
| 1549 | (display-buffer buf))) | |
| 1550 | (if enter-buffer | |
| 1551 | (pop-to-buffer (get-buffer "*Units Table*")) | |
| c9aef719 | 1552 | (display-buffer (get-buffer "*Units Table*"))))) |
| 136211a9 | 1553 | |
| 7d02e8cd JB |
1554 | (provide 'calc-units) |
| 1555 | ||
| be19ef0b GM |
1556 | ;; Local variables: |
| 1557 | ;; coding: utf-8 | |
| 1558 | ;; End: | |
| 1559 | ||
| c9aef719 | 1560 | ;;; calc-units.el ends here |