function x = units( x, unit1, unit2 );
%
% y = units(x,'unit1','unit2') - Converts x from physical unit1 to unit2
%
% example: units(1,'in','mm') = 25.4
%
% The following units are supported:
% Acceleration: m/s^2, cm/s^2, mm/s^2, ft/s^2, in/s^2, G
% Angle: rad, deg, rev
% Area: km^2, m^2, cm^2, mm^2, ym^2 (square-micrometer), sq-mile, sq-yd, sq-ft, sq-in,
% acres, ha, ar
% Area Moment of Inertia: m^4, cm^4, mm^4, ft^4, in^4
% Density: t/m^3 (metric), kg/m^3, g/cm^3, g/mm^3, lbs/ft^3 lbs/in^3, lbs/galUS, lbs/galUK
% Energy, Work, Torque: GJ, MJ, kJ, J, mJ, Nm, Ncm, Nmm, kWh, Wh, Ws, lb-ft, lb-in, oz-in,Btu,
% Btu, cal, kcal, eV
% Force: MN, kN, N, dyne, lbf, kip
% Fuel Consumption: l/100km, miles/galUS
% Frequency, Angular Velocity: GHz, MHz, kHz, Hz, 1/s, 1/min, 1/h, rad/s, deg/s, rpm
% Length: km, m, dm, cm, mm, ym (micrometer), nm, mile, yard, ft, in, mill,
% Angstrom, light-year
% Mass: t (metric), tUS, tUK, kg, g, mg, yg (microgram), ng, lbs, oz
% Mass Moment of Inertia: kg*m^2, kg*cm^2, kg*mm^2, g*m^2, g*cm^2, g*mm^2, lb*ft^2, lb*in^2
% Power: GW, MW, kW, W, mW, hp, Btu/h, Btu/s, kcal/h, J/h
% Pressure, Stress: GPa, MPa, kPa, hPa, Pa, bar, mbar, atm, dyne/cm^2, ksi, psi, mmHg, mmH2O
% Strain: m/m, mm/m, ym/m (micrometer/m), nm/m, %, o/oo, in/in, mill/in
% Stress Intensity Factor: MPa*m^1/2, MPa*mm^1/2, ksi*in^1/2, psi*in^1/2
% Temperature: degK, degC, degF, degR
% Time: yr (365 days), mth (30 days), wk, day, hr, min, s, ms, ys (microsecond), ns
% Velocity: km/s, km/h, m/s, cm/s, mm/s, m/min, mm/min, mps, mph, ft/s, in/s, ft/min,
% in/min, Mach, knots
% Viscosity: Ns/m^2, poise, centipoise, lbfs/sq-ft
% Volume: km^3, m^3, cm^3, mm^3, ym^3, cu-mile, cu-ft, cu-in, l, cl, ml, galUS, galUK,
% pint (liquid US), quart (liquid US), fl-oz (liquid US)
%
% Metric Prefixes: Yotta, Zetta, Exa, Peta, Terra, Giga, Mega, Myria, kilo, hecto, 1
% deci, centi, milli, micro, nano, pico, femto, atto, zepto, yocto
%
%
% CONSISTENCY OF UNITS IS NOT CHECKED FOR!
% (i.e., units(1,'m','kg') = 1, which is of course nonsense.)
%
% -------------------------------------------------------------------------
% Henning Ressing, PhD
% The University of British Columbia, Mechanical Engineering
% Last updated: November 9, 2003
err = 0;
switch unit1
% Length
case 'km'
x = x.*1000;
case 'm'
x = x;
case 'dm'
x = x./10;
case 'cm'
x = x./100;
case 'mm'
x = x./1000;
case 'ym'
x = x./1e6;
case 'nm'
x = x./1e9;
case 'mile'
x = x.*1609.344;
case 'yard'
x = x.*0.9144;
case 'ft'
x = x.*0.3048;
case 'in'
x = x.*0.0254;
case 'mill'
x = x.*(25.4e-6);
case 'Angstrom'
x = x./1e10;
case 'light-year'
x = x.*9.46075309081898e15;
% Time
case 'yr'
x = x.*(60*60*24*365);
case 'mth'
x = x.*(60*60*24*30);
case 'wk'
x = x.*(60*60*24*7);
case 'day'
x = x.*(60*60*24);
case 'hr'
x = x.*(60*60);
case 'min'
x = x.*60;
case 's'
x = x;
case 'ms';
x = x./1000;
case 'ys';
x = x./1e6;
case 'ns';
x = x./1e9;
% Mass
case 't'
x = x.*1000;
case 'tUS'
x = x.*907.18474;
case 'tUK'
x = x.*1016.0469088;
case 'kg'
x = x;
case 'g'
x = x./1000;
case 'mg'
x = x./1e6;
case 'yg'
x = x./1e9;
case 'ng'
x = x./1e12;
case 'lbs'
x = x.*0.4535924;
case 'oz'
x = x.*0.03110348;
% Force
case 'MN'
x = x.*1e6;
case 'kN'
x = x.*1000;
case 'N'
x = x;
case 'dyne'
x = x./1e5;
case 'lbf'
x = x.*4.448222;
case 'kip'
x = x.*4448.222
% Pressure, Stress
case 'GPa'
x = x.*1e9;
case 'MPa'
x = x.*1e6;
case 'N/mm^2'
x = x.*1e6;
case 'kPa'
x = x.*1000;
case 'hPa'
x = x.*100;
case 'Pa'
x = x;
case 'bar'
x = x.*1e5;
case 'mbar'
x = x.*100;
case 'dyne/cm^2'
x = x./10;
case 'atm'
x = x.*1.01325e5;
case 'ksi'
x = x.*6894757;
case 'psi'
x = x.*6894.757;
case 'mmHg'
x = x.*133.322;
case 'mmH2O'
x = x.*9.80665;
% Temperature
case 'degK'
x = x;
case 'degC'
x = x + 273.15;
case 'degF'
x = 5/9.*(x-32) + 273.15;
case 'degR'
x = 5/9.*(x-491.67) + 273.15;
% Work, Energy, Torque
case 'GJ'
x = x.*10^9;
case 'MJ'
x = x.*10^6;
case 'kJ'
x = x.*1000;
case 'J'
x = x;
case 'mJ'
x = x./1000;
case 'Nm'
x = x;
case 'Ncm'
x = x./100;
case 'Nmm'
x = x./1000;
case 'lb-ft'
x = x.*1.355818;
case 'lb-in'
x = x.*0.112984833;
case 'oz-in'
x = x.*7.061552e-3;
case 'Btu'
x = x.*1055.056;
case 'kWh'
x = x.*3.6e6;
case 'Wh'
x = x.*3600;
case 'Ws'
x = x;
case 'cal'
x = x.*4.1868;
case 'kcal'
x = x.*4186.8;
case 'eV'
x = x.*1.60218e-19;
% Power
case 'GW'
x = x.*1e9;
case 'MW'
x = x.*1e6;
case 'kW'
x = x.*1e3;
case 'W'
x = x;
case 'mW'
x = x./1000;
case 'hp'
x = x.*745.6999;
case 'Btu/h'
x = x.*0.2930711;
case 'Btu/s'
x = x.*1055.056;
case 'kcal/h'
x = x.*1.163;
case 'J/h'
x = x./3600;
% Velocity
case 'km/h'
x = x.*(1000/3600);
case 'km/s'
x = x.*1000;
case 'm/s'
x = x;
case 'cm/s'
x = x./100;
case 'mm/s'
x = x./1000;
case 'm/min'
x = x./60;
case 'mm/min'
x = x./60000;
case 'mph'
x = x.*(1609.344/3600);
case 'mps'
x = x.*1609.344;
case 'ft/s'
x = x.*0.3048;
case 'in/s'
x = x.*0.0254;
case 'ft/min'
x = x.*(0.3048/60);
case 'in/min'
x = x.*(0.0254/60);
case 'Mach'
x = x.*331.5;
case 'knots'
x = x.*0.514444;
% Acceleration
case 'm/s^2'
x = x;
case 'cm/s^2'
x = x./100;
case 'mm/s^2'
x = x./1000;
case 'ft/s^2'
x = x.*0.3048;
case 'in/s^2'
x = x.*0.0254;
case 'G'
x = x.*9.81;
% Area
case 'km^2'
x = x.*1e6;
case 'm^2'
x = x;
case 'cm^2'
x = x./1e4;
case 'mm^2'
x = x./1e6;
case 'ym^2'
x = x./1e12;
case 'sq-mile'
x = x.*1609.344^2;
case 'sq-yd'
x = x.*0.83612736;
case 'sq-ft'
x = x.*0.3048^2;
case 'sq-in'
x = x.*0.0254^2;
case 'acres'
x = x.*4046.8564224;
case 'ha'
x = x.*1e4;
case 'ar'
x = x.*100;
% Volume
case 'km^3'
x = x.*10^9;
case 'm^3'
x = x;
case 'cm^3'
x = x./10^6;
case 'mm^3'
x = x./10^9;
case 'ym^3'
x = x./10^18;
case 'cu-mile'
x = x.*1609.344^3;
case 'cu-yd'
x = x.*0.764554857984;
case 'cu-ft'
x = x.*0.3048^3;
case 'cu-in'
x = x.*0.0254^3;
case 'l'
x = x./1000;
case 'cl'
x = x./1e6;
case 'ml'
x = x./10^9;
case 'galUS'
x = x.*3.785412e-3;
case 'galUK'
x = x.*4.54609e-3;
case 'pint'
x = x.*4.73176473e-4;
case 'quart'
x = x.*9.46352946e-4;
case 'fl-oz'
x = x.*2.95735295625e-5;
% Density
case 't//m^3'
x = x.*1000;
case 'kg/m^3'
x = x;
case 'g/cm^3'
x = x.*1000;
case 'g/mm^3'
x = x.*1e6;
case 'kg/l'
x = x.*1000;
case 'lbs/ft^3'
x = x.*(0.4535924/0.3048^3);
case 'lbs/in^3'
x = x.*(0.4535924/0.0254^3);
case 'lbs/galUS'
x = x.*119.826427;
case 'lbs/galUK'
x = x.*99.776373;
% Mass Moment of Inertia
case 'kg*m^2'
x = x;
case 'kg*cm^2'
x = x./1e4;
case 'kg*mm^2'
x = x./1e6;
case 'g*m^2'
x = x./1000;
case 'g*cm^2'
x = x./1e7;
case 'g*mm^2'
x = x./1e9;
case 'lb*ft^2'
x = x.*0.04214011;
case 'lb*in^2'
x = x.*0.2926397e-3;
% Area Moment of Inertia
case 'm^4'
x = x;
case 'cm^4'
x = x./1e8;
case 'mm^4'
x = x./1e12;
case 'ft^4'
x = x./(0.3048^4);
case 'in^4'
x = x./(0.0254^4);
% Frequency / Angular Velocity
case 'GHz'
x = x.*1e9
case 'MHz'
x = x.*1e6
case 'kHz'
x = x.*1e3
case 'Hz'
x = x;
case '1/min'
x = x./60;
case '1/h'
x = x./3600;
case 'rad/s'
x = x./(2*pi);
case 'deg/s'
x = x./360;
case 'rpm'
x = x./60;
% Angle
case 'rad'
x = x;
case 'deg'
x = x.*(pi/180);
case 'rev'
x = x.*(2*pi);
% Stress Intensity Factor
case 'MPa*m^1/2'
x = x;
case 'MPa*mm^1/2'
x = x./sqrt(1000);
case 'ksi*in^1/2'
x = x.*6.894757.*sqrt(0.0254);
case 'psi*in^1/2'
x = x.*6894.757.*sqrt(0.0254);
% Fuel Consumption
case 'l/100km'
x = x;
case 'miles/galUS'
x = 235.214596754951./x;
% Viscosity
case 'Ns/m^2'
x = x;
case 'poise'
x = x./10;
case 'centipoise'
x = x./1000;
case 'lbfs/sq-ft'
x = x./0.02089;
% Strain
case 'm/m'
x = x;
case 'mm/m'
x = x./1e3;
case 'ym/m'
x = x./1e6;
case 'nm/m'
x = x./1e9;
case '%'
x = x./1e2;
case 'o/oo'
x = x./1e3;
case 'in/in'
x = x;
case 'mill/in'
x = x./1e3';
% Metric Prefixes
case 'Yotta'
x = x.*1e24;
case 'Zetta'
x = x.*1e21;
case 'Exa'
x = x.*1e18;
case 'Peta'
x = x.*1e15;
case 'Tera'
x = x.*1e12;
case 'Giga'
x = x.*1e9;
case 'Mega'
x = x.*1e6;
case 'Myria'
x = x.*1e5;
case 'kilo'
x = x.*1e3;
case 'hecto'
x = x.*1e2;
case '1'
x = x;
case 'deci'
x = x.*1e-1;
case 'centi'
x = x.*1e-2;
case 'milli'
x = x.*1e-3;
case 'micro'
x = x.*1e-6;
case 'nano'
x = x.*1e-9;
case 'pico'
x = x.*1e-12;
case 'femto'
x = x.*1e-15;
case 'atto'
x = x.*1e-18;
case 'zepto'
x = x.*1e-21;
case 'yocto'
x = x.*1e-24;
otherwise
err = 1;
disp('Error - Unsupported unit1.');
end
% ----------------------------------------------------------
if ~err
switch unit2
% Length
case 'km'
x = x./1000;
case 'm'
x = x;
case 'dm'
x = x.*10;
case 'cm'
x = x.*100;
case 'mm'
x = x.*1000;
case 'ym'
x = x.*1e6;
case 'nm'
x = x.*1e9;
case 'mile'
x = x./1609.344;
case 'yard'
x = x./0.9144;
case 'ft'
x = x./0.3048;
case 'in'
x = x./0.0254;
case 'mill'
x = x./25.4e-6;
case 'Angstrom'
x = x.*1e10;
case 'light-year'
x = x./9.46075309081898e15;
% Time
case 'yr'
x = x./(60*60*24*365);
case 'mth'
x = x./(60*60*24*30);
case 'wk'
x = x./(60*60*24*7);
case 'day'
x = x./(60*60*24);
case 'hr'
x = x./(60*60);
case 'min'
x = x./60;
case 's'
x = x;
case 'ms';
x = x.*1000;
case 'ys';
x = x.*1e6;
case 'ns';
x = x.*1e9;
% Mass
case 't'
x = x./1000;
case 'tUS'
x = x./907.18474;
case 'tUK'
x = x./1016.0469088;
case 'kg'
x = x;
case 'g'
x = x.*1000;
case 'mg'
x = x.*1e6;
case 'yg'
x = x.*1e9;
case 'ng'
x = x.*1e12;
case 'lbs'
x = x./0.4535924;
case 'oz'
x = x./0.03110348;
% Force
case 'MN'
x = x./1e6;
case 'kN'
x = x./1000;
case 'N'
x = x;
case 'dyne'
x = x.*1e5;
case 'lbf'
x = x./4.44822;
case 'kip'
x = x./4448.222
% Pressure, Stress
case 'GPa'
x = x./10^9;
case 'MPa'
x = x./10^6;
case 'N/mm^2'
x = x./10^6;
case 'kPa'
x = x./1000;
case 'hPa'
x = x./100;
case 'Pa'
x = x;
case 'bar'
x = x./1e5;
case 'mbar'
x = x./100;
case 'dyne/cm^2'
x = x.*10;
case 'atm'
x = x./1.01325e5;
case 'ksi'
x = x./6894757;
case 'psi'
x = x./6894.757;
case 'mmHg'
x = x./133.322;
case 'mmH2O'
x = x./9.80665;
% Temperature
case 'degK'
x = x;
case 'degC'
temp = size(c);
x = c - 273.15;
case 'degF'
temp = size(c);
x = 9/5.*(c-273.15) + 32;
case 'degR'
temp = size(c);
x = 9/5.*(c-273.15) + 491.67;
% Work, Energy, Torque
case 'GJ'
x = x./10^9;
case 'MJ'
x = x./10^6;
case 'kJ'
x = x./1000;
case 'J'
x = x;
case 'mJ'
x = x.*1000;
case 'Nm'
x = x;
case 'Ncm'
x = x.*100;
case 'Nmm'
x = x.*1000;
case 'lb-ft'
x = x./1.355818;
case 'lb-in'
x = x./0.112984833;
case 'oz-in'
x = x./0.007061552;
case 'Btu'
x = x./1055.056;
case 'kWh'
x = x./3.6e6;
case 'Wh'
x = x./3600;
case 'Ws'
x = x;
case 'cal'
x = x./4.1868;
case 'kcal'
x = x./4186.8;
case 'eV'
x = x./1.60218e-19;
% Power
case 'GW'
x = x./1e9;
case 'MW'
x = x./1e6;
case 'kW'
x = x./1000;
case 'W'
x = x;
case 'mW'
x = x.*1000;
case 'hp'
x = x./745.6999;
case 'Btu/h'
x = x./0.2930711;
case 'Btu/s'
x = x./1055.056;
case 'kcal/h'
x = x./1.163;
case 'J/h'
x = x.*3600;
% Velocity
case 'km/h'
x = x./(1000/3600);
case 'km/s'
x = x./1000;
case 'm/s'
x = x;
case 'cm/s'
x = x.*100;
case 'mm/s'
x = x.*1000;
case 'm/min'
x = x.*60;
case 'mm/min'
x = x.*60000;
case 'mph'
x = x./(1609.344/3600);
case 'mps'
x = x./1609.344;
case 'ft/s'
x = x./0.3048;
case 'in/s'
x = x./0.0254;
case 'ft/min'
x = x./(0.3048*60);
case 'in/min'
x = x./(0.0254*60);
case 'Mach'
x = x./331.5;
case 'knots'
x = x./0.514444;
% Acceleration
case 'm/s^2'
x = x;
case 'cm/s^2'
x = x.*100;
case 'mm/s^2'
x = x.*1000;
case 'ft/s^2'
x = x./0.3048;
case 'in/s^2'
x = x./0.0254;
case 'G'
x = x./9.81;
% Area
case 'km^2'
x = x./1e6;
case 'm^2'
x = x;
case 'cm^2'
x = x.*10^4;
case 'mm^2'
x = x.*10^6;
case 'ym^2'
x = x.*10^12;
case 'sq-mile'
x = x./1609.344^2;
case 'sq-yd'
x = x./0.83612736;
case 'sq-ft'
x = x./0.3048^2;
case 'sq-in'
x = x./0.0254^2;
case 'acres'
x = x./4046.8564224;
case 'ha'
x = x./1e4;
case 'ar'
x = x./100;
% Volume
case 'km^3'
x = x./10^9;
case 'm^3'
x = x;
case 'cm^3'
x = x.*10^6;
case 'mm^3'
x = x.*10^9;
case 'ym^3'
x = x.*10^18;
case 'cu-mile'
x = x./1609.344^3;
case 'cu-ft'
x = x./0.3048^3;
case 'cu-yd'
x = x./0.764554857984;
case 'cu-in'
x = x./0.0254^3;
case 'l'
x = x.*1000;
case 'cl'
x = x.*1e6;
case 'ml'
x = x.*10^9;
case 'galUS'
x = x./3.785412e-3;
case 'galUK'
x = x./4.54609e-3;
case 'pint'
x = x./4.73176473e-4;
case 'quart'
x = x./9.46352946e-4;
case 'fl-oz'
x = x./2.95735295625e-5;
% Density
case 't/m^3'
x = x./1000;
case 'kg/m^3'
x = x;
case 'g/cm^3'
x = x./1000;
case 'g/mm^3'
x = x./1e6;
case 'kg/l'
x = x./1000;
case 'lbs/ft^3'
x = x./(0.4535924/0.3048^3);
case 'lbs/in^3'
x = x./(0.4535924/0.0254^3);
case 'lbs/galUS'
x = x./119.826427;
case 'lbs/galUK'
x = x./99.776373;
% Mass Moment of Inertia
case 'kg*m^2'
x = x;
case 'kg*cm^2'
x = x.*1e4;
case 'kg*mm^2'
x = x.*1e6;
case 'g*m^2'
x = x.*1000;
case 'g*cm^2'
x = x.*1e7;
case 'g*mm^2'
x = x.*1e9;
case 'lb*ft^2'
x = x./0.04214011;
case 'lb*in^2'
x = x./0.2926397e-3;
% Areal Moment of Inertia
case 'm^4'
x = x;
case 'cm^4'
x = x.*1e8;
case 'mm^4'
x = x.*1e12;
case 'ft^4'
x = x.*(0.3048^4);
case 'in^4'
x = x.*(0.0254^4);
% Frequency / Angular Velocity
case 'GHz'
x = x./1e9
case 'MHz'
x = x./1e6
case 'kHz'
x = x./1e3
case 'Hz'
x = x;
case '1/min'
x = x.*60;
case '1/h'
x = x.*3600;
case 'rad/s'
x = x.*(2*pi);
case 'deg/s'
x = x.*360;
case 'rpm'
x = x.*60;
% Angle
case 'rad'
x = x;
case 'deg'
x = x.*(180/pi);
case 'rev'
x = x./(2*pi);
% Stress Intensity Factor
case 'MPa*m^1/2'
x = x;
case 'MPa*mm^1/2'
x = x.*sqrt(1000);
case 'MPa*in^1/2'
x = x./6.894757./sqrt(0.0254);
% Fuel Consumption
case 'l/100km'
x = x;
case 'miles/galUS'
x = 235.214596754951./x;
% Viscosity
case 'Ns/m^2'
x = x;
case 'poise'
x = x.*10;
case 'centipoise'
x = x.*1000;
case 'lbfs/sq-ft'
x = x.*0.02089;
% Strain
case 'm/m'
x = x;
case 'mm/m'
x = x.*1e3;
case 'ym/m'
x = x.*1e6;
case 'nm/m'
x = x.*1e9;
case '%'
x = x.*1e2;
case 'o/oo'
x = x.*1e3;
case 'in/in'
x = x;
case 'mill/in'
x = x.*1e3';
% Metric Prefixes
case 'Yotta'
x = x.*1e-24;
case 'Zetta'
x = x.*1e-21;
case 'Exa'
x = x.*1e-18;
case 'Peta'
x = x.*1e-15;
case 'Tera'
x = x.*1e-12;
case 'Giga'
x = x.*1e-9;
case 'Mega'
x = x.*1e-6;
case 'Myria'
x = x.*1e-5;
case 'kilo'
x = x.*1e-3;
case 'hecto'
x = x.*1e-2;
case '1'
x = x;
case 'deci'
x = x.*1e1;
case 'centi'
x = x.*1e2;
case 'milli'
x = x.*1e3;
case 'micro'
x = x.*1e6;
case 'nano'
x = x.*1e9;
case 'pico'
x = x.*1e12;
case 'femto'
x = x.*1e15;
case 'atto'
x = x.*1e18;
case 'zepto'
x = x.*1e21;
case 'yocto'
x = x.*1e24;
otherwise
disp('Error - Unsupported unit2.');
end;
end;
return;
