;;; calc-units.el --- unit conversion functions for Calc
-;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004,
-;; 2005, 2006, 2007, 2008 Free Software Foundation, Inc.
+;; Copyright (C) 1990-1993, 2001-2011 Free Software Foundation, Inc.
;; Author: David Gillespie <daveg@synaptics.com>
;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>
;;; Units table last updated 9-Jan-91 by Ulrich Mueller (ulm@vsnhd1.cern.ch)
;;; with some additions by Przemek Klosowski (przemek@rrdstrad.nist.gov)
-;;; Updated April 2002 by Jochen Küpper
+;;; Updated April 2002 by Jochen Küpper
;;; 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)
+;;; Measures, by François Cardarelli)
;;; All conversions are exact unless otherwise noted.
(defvar math-standard-units
'( ;; Length
( m nil "*Meter" )
- ( in "254*10^(-2) cm" "Inch" nil
+ ( in "254*10^(-2) cm" "Inch" nil
"2.54 cm")
( ft "12 in" "Foot")
( yd "3 ft" "Yard" )
( mi "5280 ft" "Mile" )
- ( au "149597870691. m" "Astronomical Unit" nil
+ ( au "149597870691. m" "Astronomical Unit" nil
"149597870691 m (*)")
;; (approx) NASA JPL (http://neo.jpl.nasa.gov/glossary/au.html)
( lyr "c yr" "Light Year" )
- ( pc "3.0856775854*10^16 m" "Parsec" nil
+ ( pc "3.0856775854*10^16 m" "Parsec (**)" nil
"3.0856775854 10^16 m (*)") ;; (approx) ESUWM
( nmi "1852 m" "Nautical Mile" )
( fath "6 ft" "Fathom" )
( fur "660 ft" "Furlong")
( mu "1 um" "Micron" )
( mil "(1/1000) in" "Mil" )
- ( point "(1/72) in" "Point (1/72 inch)" )
+ ( point "(1/72) in" "Point (PostScript convention)" )
( Ang "10^(-10) m" "Angstrom" )
( mfi "mi+ft+in" "Miles + feet + inches" )
;; TeX lengths
- ( texpt "(100/7227) in" "Point (TeX conventions)" )
- ( texpc "12 texpt" "Pica" )
- ( texbp "point" "Big point (TeX conventions)" )
- ( texdd "(1238/1157) texpt" "Didot point" )
- ( texcc "12 texdd" "Cicero" )
- ( texsp "(1/65536) texpt" "Scaled TeX point" )
+ ( texpt "(100/7227) in" "Point (TeX convention) (**)" )
+ ( texpc "12 texpt" "Pica (TeX convention) (**)" )
+ ( texbp "point" "Big point (TeX convention) (**)" )
+ ( texdd "(1238/1157) texpt" "Didot point (TeX convention) (**)" )
+ ( texcc "12 texdd" "Cicero (TeX convention) (**)" )
+ ( texsp "(1/65536) texpt" "Scaled TeX point (TeX convention) (**)" )
;; Area
( hect "10000 m^2" "*Hectare" )
( l "L" "Liter" )
( gal "4 qt" "US Gallon" )
( qt "2 pt" "Quart" )
- ( pt "2 cup" "Pint" )
+ ( pt "2 cup" "Pint (**)" )
( cup "8 ozfl" "Cup" )
( ozfl "2 tbsp" "Fluid Ounce" )
( floz "2 tbsp" "Fluid Ounce" )
( tbsp "3 tsp" "Tablespoon" )
;; ESUWM defines a US gallon as 231 in^3.
;; That gives the following exact value for tsp.
- ( tsp "492892159375*10^(-11) ml" "Teaspoon" nil
+ ( tsp "492892159375*10^(-11) ml" "Teaspoon" nil
"4.92892159375 ml")
( vol "tsp+tbsp+ozfl+cup+pt+qt+gal" "Gallons + ... + teaspoons" nil
"tsp+tbsp+ozfl+cup+pt+qt+gal")
( galC "galUK" "Canadian Gallon" )
- ( galUK "454609*10^(-5) L" "UK Gallon" nil
+ ( galUK "454609*10^(-5) L" "UK Gallon" nil
"4.54609 L") ;; NIST
;; Time
( c "299792458 m/s" "Speed of light" ) ;;; CODATA
;; Acceleration
- ( ga "980665*10^(-5) m/s^2" "*\"g\" acceleration" nil
+ ( ga "980665*10^(-5) m/s^2" "*\"g\" acceleration" nil
"9.80665 m / s^2") ;; CODATA
;; Mass
( g nil "*Gram" )
( lb "16 oz" "Pound (mass)" )
- ( oz "28349523125*10^(-9) g" "Ounce (mass)" nil
+ ( oz "28349523125*10^(-9) g" "Ounce (mass)" nil
"28.349523125 g") ;; ESUWM
( ton "2000 lb" "Ton" )
( tpo "ton+lb+oz" "Tons + pounds + ounces (mass)" )
( t "1000 kg" "Metric ton" )
- ( tonUK "10160469088*10^(-7) kg" "UK ton" nil
+ ( tonUK "10160469088*10^(-7) kg" "UK ton" nil
"1016.0469088 kg") ;; ESUWM
( lbt "12 ozt" "Troy pound" )
- ( ozt "311034768*10^(-7) g" "Troy ounce" nil
+ ( ozt "311034768*10^(-7) g" "Troy ounce" nil
"31.10347680 g") ;; ESUWM, 1/12 exact value for lbt
- ( ct "(2/10) g" "Carat" nil
+ ( ct "(2/10) g" "Carat" nil
"0.2 g") ;; ESUWM
- ( u "1.660538782*10^(-27) kg" "Unified atomic mass" nil
+ ( u "1.660538782*10^(-27) kg" "Unified atomic mass" nil
"1.660538782 10^-27 kg (*)");;(approx) CODATA
;; Force
( gf "ga g" "Gram (force)" )
( lbf "ga lb" "Pound (force)" )
( kip "1000 lbf" "Kilopound (force)" )
- ( pdl "138254954376*10^(-12) N" "Poundal" nil
+ ( pdl "138254954376*10^(-12) N" "Poundal" nil
"0.138254954376 N") ;; ESUWM
;; Energy
( J "N m" "*Joule" )
( erg "10^(-7) J" "Erg" )
- ( cal "41868*10^(-4) J" "International Table Calorie" nil
+ ( cal "41868*10^(-4) J" "International Table Calorie" nil
"4.1868 J") ;; NIST
- ( calth "4184*10^(-3) J" "Thermochemical Calorie" nil
+ ( calth "4184*10^(-3) J" "Thermochemical Calorie" nil
"4.184 J") ;; NIST
( Cal "1000 cal" "Large Calorie")
- ( Btu "105505585262*10^(-8) J" "International Table Btu" nil
+ ( Btu "105505585262*10^(-8) J" "International Table Btu" nil
"1055.05585262 J") ;; ESUWM
( eV "ech V" "Electron volt" )
( ev "eV" "Electron volt" )
( atm "101325 Pa" "Standard atmosphere" ) ;; CODATA
( Torr "(1/760) atm" "Torr")
( mHg "1000 Torr" "Meter of mercury" )
- ( inHg "254*10^(-1) mmHg" "Inch of mercury" nil
+ ( inHg "254*10^(-1) mmHg" "Inch of mercury" nil
"25.4 mmHg")
- ( inH2O "2.490889*10^2 Pa" "Inch of water" nil
+ ( inH2O "2.490889*10^2 Pa" "Inch of water" nil
"2.490889 10^2 Pa (*)") ;;(approx) NIST
( psi "lbf/in^2" "Pounds per square inch" )
( C "A s" "Coulomb" )
( Fdy "ech Nav" "Faraday" )
( e "ech" "Elementary charge" )
- ( ech "1.602176487*10^(-19) C" "Elementary charge" nil
+ ( ech "1.602176487*10^(-19) C" "Elementary charge" nil
"1.602176487 10^-19 C (*)") ;;(approx) CODATA
( V "W/A" "Volt" )
( ohm "V/A" "Ohm" )
+ ( Ω "ohm" "Ohm" )
( mho "A/V" "Mho" )
( S "A/V" "Siemens" )
( F "C/V" "Farad" )
;; Other physical quantities
;; The values are from CODATA, and are approximate.
- ( h "6.62606896*10^(-34) J s" "*Planck's constant" nil
+ ( h "6.62606896*10^(-34) J s" "*Planck's constant" nil
"6.62606896 10^-34 J s (*)")
( hbar "h / (2 pi)" "Planck's constant" ) ;; Exact
( mu0 "4 pi 10^(-7) H/m" "Permeability of vacuum") ;; Exact
+ ( μ0 "mu0" "Permeability of vacuum") ;; Exact
( eps0 "1 / (mu0 c^2)" "Permittivity of vacuum" )
- ( G "6.67428*10^(-11) m^3/(kg s^2)" "Gravitational constant" nil
+ ( ε0 "eps0" "Permittivity of vacuum" )
+ ( G "6.67428*10^(-11) m^3/(kg s^2)" "Gravitational constant" nil
"6.67428 10^-11 m^3/(kg s^2) (*)")
- ( Nav "6.02214179*10^(23) / mol" "Avagadro's constant" nil
+ ( Nav "6.02214179*10^(23) / mol" "Avogadro's constant" nil
"6.02214179 10^23 / mol (*)")
- ( me "9.10938215*10^(-31) kg" "Electron rest mass" nil
+ ( me "9.10938215*10^(-31) kg" "Electron rest mass" nil
"9.10938215 10^-31 kg (*)")
- ( mp "1.672621637*10^(-27) kg" "Proton rest mass" nil
+ ( mp "1.672621637*10^(-27) kg" "Proton rest mass" nil
"1.672621637 10^-27 kg (*)")
- ( mn "1.674927211*10^(-27) kg" "Neutron rest mass" nil
+ ( mn "1.674927211*10^(-27) kg" "Neutron rest mass" nil
"1.674927211 10^-27 kg (*)")
- ( mmu "1.88353130*10^(-28) kg" "Muon rest mass" nil
+ ( mmu "1.88353130*10^(-28) kg" "Muon rest mass" nil
"1.88353130 10^-28 kg (*)")
- ( Ryd "10973731.568527 /m" "Rydberg's constant" nil
+ ( mμ "mmu" "Muon rest mass" nil
+ "1.88353130 10^-28 kg (*)")
+ ( Ryd "10973731.568527 /m" "Rydberg's constant" nil
"10973731.568527 /m (*)")
- ( k "1.3806504*10^(-23) J/K" "Boltzmann's constant" nil
+ ( k "1.3806504*10^(-23) J/K" "Boltzmann's constant" nil
"1.3806504 10^-23 J/K (*)")
- ( alpha "7.2973525376*10^(-3)" "Fine structure constant" nil
+ ( alpha "7.2973525376*10^(-3)" "Fine structure constant" nil
+ "7.2973525376 10^-3 (*)")
+ ( α "alpha" "Fine structure constant" nil
"7.2973525376 10^-3 (*)")
- ( muB "927.400915*10^(-26) J/T" "Bohr magneton" nil
+ ( muB "927.400915*10^(-26) J/T" "Bohr magneton" nil
"927.400915 10^-26 J/T (*)")
- ( muN "5.05078324*10^(-27) J/T" "Nuclear magneton" nil
+ ( muN "5.05078324*10^(-27) J/T" "Nuclear magneton" nil
"5.05078324 10^-27 J/T (*)")
- ( mue "-928.476377*10^(-26) J/T" "Electron magnetic moment" nil
+ ( mue "-928.476377*10^(-26) J/T" "Electron magnetic moment" nil
"-928.476377 10^-26 J/T (*)")
- ( mup "1.410606662*10^(-26) J/T" "Proton magnetic moment" nil
+ ( mup "1.410606662*10^(-26) J/T" "Proton magnetic moment" nil
"1.410606662 10^-26 J/T (*)")
- ( R0 "8.314472 J/(mol K)" "Molar gas constant" nil
+ ( R0 "8.314472 J/(mol K)" "Molar gas constant" nil
"8.314472 J/(mol K) (*)")
- ( V0 "22.710981*10^(-3) m^3/mol" "Standard volume of ideal gas" nil
- "22.710981 10^-3 m^3/mol (*)")))
+ ( V0 "22.710981*10^(-3) m^3/mol" "Standard volume of ideal gas" nil
+ "22.710981 10^-3 m^3/mol (*)")
+ ;; Logarithmic units
+ ( Np nil "*Neper")
+ ( dB "(ln(10)/20) Np" "decibel")))
(defvar math-additional-units nil
"*Additional units table for user-defined units.
-Must be formatted like math-standard-units.
-If this is changed, be sure to set math-units-table to nil to ensure
+Must be formatted like `math-standard-units'.
+If you change this, be sure to set `math-units-table' to nil to ensure
that the combined units table will be rebuilt.")
(defvar math-unit-prefixes
( ?c (^ 10 -2) "Centi" )
( ?m (^ 10 -3) "Milli" )
( ?u (^ 10 -6) "Micro" )
+ ( ?μ (^ 10 -6) "Micro" )
( ?n (^ 10 -9) "Nano" )
( ?p (^ 10 -12) "Pico" )
( ?f (^ 10 -15) "Femto" )
( cgs ( ( m '(* (var cm var-cm) 100 ) ) ) )))
(defvar math-units-table nil
- "Internal units table derived from math-defined-units.
+ "Internal units table.
+Derived from `math-standard-units' and `math-additional-units'.
Entries are (SYMBOL EXPR DOC-STRING TEMP-TYPE BASE-UNITS).")
(defvar math-units-table-buffer-valid nil)
(defun calc-quick-units ()
(interactive)
(calc-slow-wrapper
- (let* ((num (- last-command-char ?0))
+ (let* ((num (- last-command-event ?0))
(pos (if (= num 0) 10 num))
(units (calc-var-value 'var-Units))
(expr (calc-top-n 1)))
(let ((name (or (nth 2 u) (symbol-name (car u)))))
(if (eq (aref name 0) ?\*)
(setq name (substring name 1)))
- (if (string-match "[^a-zA-Z0-9']" name)
- (if (string-match "^[a-zA-Z0-9' ()]*$" name)
+ (if (string-match "[^a-zA-Zα-ωΑ-Ω0-9']" name)
+ (if (string-match "^[a-zA-Zα-ωΑ-Ω0-9' ()]*$" name)
(while (setq pos (string-match "[ ()]" name))
(setq name (concat (substring name 0 pos)
(if (eq (aref name pos) 32) "-" "")
(setq name (concat (nth 2 (assq (aref (symbol-name
(nth 1 expr)) 0)
math-unit-prefixes))
- (if (and (string-match "[^a-zA-Z0-9']" name)
+ (if (and (string-match "[^a-zA-Zα-ωΑ-Ω0-9']" name)
(not (memq (car u) '(mHg gf))))
(concat "-" name)
(downcase name)))))
(setq math-units-table nil)
(let ((buf (get-buffer "*Units Table*")))
(and buf
- (save-excursion
- (set-buffer buf)
+ (with-current-buffer buf
(save-excursion
(goto-char (point-min))
(if (looking-at "Calculator Units Table")
(or (eq (nth 1 expr) 'pi)
(error "Unknown name %s in defining expression for unit %s"
(nth 1 expr) (car math-fbu-entry))))
+ ((equal expr '(calcFunc-ln 10)))
(t (error "Malformed defining expression for unit %s" (car math-fbu-entry))))))
(calc-float-format '(float 0))
(calc-group-digits nil)
(calc-number-radix 10)
+ (calc-twos-complement-mode nil)
(calc-point-char ".")
(std nil)
u name shadowed)
(indent-to 15)
(insert " " (nth 2 u) "\n")
(while (eq (car (car (setq uptr (cdr uptr)))) 0)))
- (insert "\n"))
+ (insert "\n\n")
+ (insert "(**) When in TeX or LaTeX display mode, the TeX specific unit\n"
+ "names will not use the `tex' prefix; the unit name for a\n"
+ "TeX point will be `pt' instead of `texpt', for example.\n"
+ "To avoid conflicts, the unit names for pint and parsec will\n"
+ "be `pint' and `parsec' instead of `pt' and `pc'."))
(view-mode)
(message "Formatting units table...done"))
(setq math-units-table-buffer-valid t)
(pop-to-buffer (get-buffer "*Units Table*"))
(display-buffer (get-buffer "*Units Table*")))))
+;;; Logarithmic units functions
+
+(defvar math-logunits '((var dB var-dB)
+ (var Np var-Np)))
+
+(defun math-conditional-apply (fn &rest args)
+ "Evaluate f(args) unless in symbolic mode.
+In symbolic mode, return the list (fn args)."
+ (if calc-symbolic-mode
+ (cons fn args)
+ (apply fn args)))
+
+(defun math-conditional-pow (a b)
+ "Evaluate a^b unless in symbolic mode.
+In symbolic mode, return the list (^ a b)."
+ (if calc-symbolic-mode
+ (list '^ a b)
+ (math-pow a b)))
+
+(defun math-extract-logunits (expr)
+ (if (memq (car-safe expr) '(* /))
+ (cons (car expr)
+ (mapcar 'math-extract-logunits (cdr expr)))
+ (if (memq (car-safe expr) '(^))
+ (list '^ (math-extract-logunits (nth 1 expr)) (nth 2 expr))
+ (if (member expr math-logunits) expr 1))))
+
+(defun math-logunits-add (a b neg power)
+ (let ((aunit (math-simplify (math-extract-logunits a))))
+ (if (not (eq (car-safe aunit) 'var))
+ (calc-record-why "*Improper logarithmic unit" aunit)
+ (let* ((units (math-extract-units a))
+ (acoeff (math-simplify (math-remove-units a)))
+ (bcoeff (math-simplify (math-to-standard-units
+ (list '/ b units) nil))))
+ (if (math-units-in-expr-p bcoeff nil)
+ (calc-record-why "*Inconsistent units" nil)
+ (if (and neg
+ (or (math-lessp acoeff bcoeff)
+ (math-equal acoeff bcoeff)))
+ (calc-record-why "*Improper coefficients" nil)
+ (math-mul
+ (if (equal aunit '(var dB var-dB))
+ (let ((coef (if power 10 20)))
+ (math-mul coef
+ (math-conditional-apply 'calcFunc-log10
+ (if neg
+ (math-sub
+ (math-conditional-pow 10 (math-div acoeff coef))
+ (math-conditional-pow 10 (math-div bcoeff coef)))
+ (math-add
+ (math-conditional-pow 10 (math-div acoeff coef))
+ (math-conditional-pow 10 (math-div bcoeff coef)))))))
+ (let ((coef (if power 2 1)))
+ (math-div
+ (math-conditional-apply 'calcFunc-ln
+ (if neg
+ (math-sub
+ (math-conditional-apply 'calcFunc-exp (math-mul coef acoeff))
+ (math-conditional-apply 'calcFunc-exp (math-mul coef bcoeff)))
+ (math-add
+ (math-conditional-apply 'calcFunc-exp (math-mul coef acoeff))
+ (math-conditional-apply 'calcFunc-exp (math-mul coef bcoeff)))))
+ coef)))
+ units)))))))
+
+(defun calcFunc-lufieldplus (a b)
+ (math-logunits-add a b nil nil))
+
+(defun calcFunc-lupowerplus (a b)
+ (math-logunits-add a b nil t))
+
+(defun calcFunc-lufieldminus (a b)
+ (math-logunits-add a b t nil))
+
+(defun calcFunc-lupowerminus (a b)
+ (math-logunits-add a b t t))
+
+(defun calc-logunits-add (arg)
+ (interactive "P")
+ (calc-slow-wrapper
+ (if (calc-is-inverse)
+ (if (calc-is-hyperbolic)
+ (calc-binary-op "lu-" 'calcFunc-lufieldminus arg)
+ (calc-binary-op "lu-" 'calcFunc-lupowerminus arg))
+ (if (calc-is-hyperbolic)
+ (calc-binary-op "lu+" 'calcFunc-lufieldplus arg)
+ (calc-binary-op "lu+" 'calcFunc-lupowerplus arg)))))
+
+(defun calc-logunits-sub (arg)
+ (interactive "P")
+ (calc-slow-wrapper
+ (if (calc-is-inverse)
+ (if (calc-is-hyperbolic)
+ (calc-binary-op "lu+" 'calcFunc-lufieldplus arg)
+ (calc-binary-op "lu+" 'calcFunc-lupowerplus arg))
+ (if (calc-is-hyperbolic)
+ (calc-binary-op "lu-" 'calcFunc-lufieldminus arg)
+ (calc-binary-op "lu-" 'calcFunc-lupowerminus arg)))))
+
+(defun math-logunits-mul (a b power)
+ (let (logunit coef units number)
+ (cond
+ ((and
+ (setq logunit (math-simplify (math-extract-logunits a)))
+ (eq (car-safe logunit) 'var)
+ (eq (math-simplify (math-extract-units b)) 1))
+ (setq coef (math-simplify (math-remove-units a))
+ units (math-extract-units a)
+ number b))
+ ((and
+ (setq logunit (math-simplify (math-extract-logunits b)))
+ (eq (car-safe logunit) 'var)
+ (eq (math-simplify (math-extract-units a)) 1))
+ (setq coef (math-simplify (math-remove-units b))
+ units (math-extract-units b)
+ number a))
+ (t (setq logunit nil)))
+ (if logunit
+ (cond
+ ((equal logunit '(var dB var-dB))
+ (math-simplify
+ (math-mul
+ (math-add
+ coef
+ (math-mul (if power 10 20)
+ (math-conditional-apply 'calcFunc-log10 number)))
+ units)))
+ (t
+ (math-simplify
+ (math-mul
+ (math-add
+ coef
+ (math-div (math-conditional-apply 'calcFunc-ln number) (if power 2 1)))
+ units))))
+ (calc-record-why "*Improper units" nil))))
+
+(defun math-logunits-divide (a b power)
+ (let ((logunit (math-simplify (math-extract-logunits a))))
+ (if (not (eq (car-safe logunit) 'var))
+ (calc-record-why "*Improper logarithmic unit" logunit)
+ (if (math-units-in-expr-p b nil)
+ (calc-record-why "*Improper units quantity" b)
+ (let* ((units (math-extract-units a))
+ (coef (math-simplify (math-remove-units a))))
+ (cond
+ ((equal logunit '(var dB var-dB))
+ (math-simplify
+ (math-mul
+ (math-sub
+ coef
+ (math-mul (if power 10 20)
+ (math-conditional-apply 'calcFunc-log10 b)))
+ units)))
+ (t
+ (math-simplify
+ (math-mul
+ (math-sub
+ coef
+ (math-div (math-conditional-apply 'calcFunc-ln b) (if power 2 1)))
+ units)))))))))
+
+(defun calcFunc-lufieldtimes (a b)
+ (math-logunits-mul a b nil))
+
+(defun calcFunc-lupowertimes (a b)
+ (math-logunits-mul a b t))
+
+(defun calc-logunits-mul (arg)
+ (interactive "P")
+ (calc-slow-wrapper
+ (if (calc-is-inverse)
+ (if (calc-is-hyperbolic)
+ (calc-binary-op "lu/" 'calcFunc-lufielddiv arg)
+ (calc-binary-op "lu/" 'calcFunc-lupowerdiv arg))
+ (if (calc-is-hyperbolic)
+ (calc-binary-op "lu*" 'calcFunc-lufieldtimes arg)
+ (calc-binary-op "lu*" 'calcFunc-lupowertimes arg)))))
+
+(defun calcFunc-lufielddiv (a b)
+ (math-logunits-divide a b nil))
+
+(defun calcFunc-lupowerdiv (a b)
+ (math-logunits-divide a b t))
+
+(defun calc-logunits-divide (arg)
+ (interactive "P")
+ (calc-slow-wrapper
+ (if (calc-is-inverse)
+ (if (calc-is-hyperbolic)
+ (calc-binary-op "lu*" 'calcFunc-lufieldtimes arg)
+ (calc-binary-op "lu*" 'calcFunc-lupowertimes arg))
+ (if (calc-is-hyperbolic)
+ (calc-binary-op "lu/" 'calcFunc-lufielddiv arg)
+ (calc-binary-op "lu/" 'calcFunc-lupowerdiv arg)))))
+
+(defun math-logunits-quant (val ref power)
+ (let* ((units (math-simplify (math-extract-units val)))
+ (lunit (math-simplify (math-extract-logunits units))))
+ (if (not (eq (car-safe lunit) 'var))
+ (calc-record-why "*Improper logarithmic unit" lunit)
+ (let ((runits (math-simplify (math-div units lunit)))
+ (coeff (math-simplify (math-div val units))))
+ (math-mul
+ (if (equal lunit '(var dB var-dB))
+ (math-mul
+ ref
+ (math-conditional-pow
+ 10
+ (math-div
+ coeff
+ (if power 10 20))))
+ (math-mul
+ ref
+ (math-conditional-apply 'calcFunc-exp
+ (if power
+ (math-mul 2 coeff)
+ coeff))))
+ runits)))))
+
+(defvar calc-logunits-field-reference)
+(defvar calc-logunits-power-reference)
+
+(defun calcFunc-fieldquant (val &optional ref)
+ (unless ref
+ (setq ref (math-read-expr calc-logunits-field-reference)))
+ (math-logunits-quant val ref nil))
+
+(defun calcFunc-powerquant (val &optional ref)
+ (unless ref
+ (setq ref (math-read-expr calc-logunits-power-reference)))
+ (math-logunits-quant val ref t))
+
+(defun calc-logunits-quantity (arg)
+ (interactive "P")
+ (calc-slow-wrapper
+ (if (calc-is-hyperbolic)
+ (if (calc-is-option)
+ (calc-binary-op "lupq" 'calcFunc-fieldquant arg)
+ (calc-unary-op "lupq" 'calcFunc-fieldquant arg))
+ (if (calc-is-option)
+ (calc-binary-op "lufq" 'calcFunc-powerquant arg)
+ (calc-unary-op "lufq" 'calcFunc-powerquant arg)))))
+
+(defun math-logunits-level (val ref db power)
+ "Compute the value of VAL in decibels or nepers."
+ (let* ((ratio (math-simplify-units (math-div val ref)))
+ (ratiou (math-simplify-units (math-remove-units ratio)))
+ (units (math-simplify (math-extract-units ratio))))
+ (math-mul
+ (if db
+ (math-mul
+ (math-mul (if power 10 20)
+ (math-conditional-apply 'calcFunc-log10 ratiou))
+ '(var dB var-dB))
+ (math-mul
+ (math-div (math-conditional-apply 'calcFunc-ln ratiou) (if power 2 1))
+ '(var Np var-Np)))
+ units)))
+
+(defun calcFunc-dbfieldlevel (val &optional ref)
+ (unless ref
+ (setq ref (math-read-expr calc-logunits-field-reference)))
+ (math-logunits-level val ref t nil))
+
+(defun calcFunc-dbpowerlevel (val &optional ref)
+ (unless ref
+ (setq ref (math-read-expr calc-logunits-power-reference)))
+ (math-logunits-level val ref t t))
+
+(defun calcFunc-npfieldlevel (val &optional ref)
+ (unless ref
+ (setq ref (math-read-expr calc-logunits-field-reference)))
+ (math-logunits-level val ref nil nil))
+
+(defun calcFunc-nppowerlevel (val &optional ref)
+ (unless ref
+ (setq ref (math-read-expr calc-logunits-power-reference)))
+ (math-logunits-level val ref nil t))
+
+(defun calc-logunits-dblevel (arg)
+ (interactive "P")
+ (calc-slow-wrapper
+ (if (calc-is-hyperbolic)
+ (if (calc-is-option)
+ (calc-binary-op "ludb" 'calcFunc-dbfieldlevel arg)
+ (calc-unary-op "ludb" 'calcFunc-dbfieldlevel arg))
+ (if (calc-is-option)
+ (calc-binary-op "ludb" 'calcFunc-dbpowerlevel arg)
+ (calc-unary-op "ludb" 'calcFunc-dbpowerlevel arg)))))
+
+(defun calc-logunits-nplevel (arg)
+ (interactive "P")
+ (calc-slow-wrapper
+ (if (calc-is-hyperbolic)
+ (if (calc-is-option)
+ (calc-binary-op "lunp" 'calcFunc-npfieldlevel arg)
+ (calc-unary-op "lunp" 'calcFunc-npfieldlevel arg))
+ (if (calc-is-option)
+ (calc-binary-op "lunp" 'calcFunc-nppowerlevel arg)
+ (calc-unary-op "lunp" 'calcFunc-nppowerlevel arg)))))
+
(provide 'calc-units)
-;; Local Variables:
-;; coding: iso-latin-1
+;; Local variables:
+;; coding: utf-8
;; End:
-;; arch-tag: e993314f-3adc-4191-be61-4ef8874881c4
;;; calc-units.el ends here
HCoop / bpt / emacs.git / blobdiff