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physVal.m
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classdef physVal < handle
properties
value=NaN;
unit='';
stdev=NaN;
UID;
corelation; %not implemented yet
end
methods
%constructor
%val : value
%stdev: st.deviation
function obj=physVal(val,stdev,unit)
obj.value=val;
if nargin < 3
unit='';
end
if nargin < 2
stdev=0;
end
obj.UID=java.rmi.server.UID(); %for corelation-tracking; not implemented yet
obj.unit=unit;
obj.stdev=stdev;
end
function r=max(obj1)
m=-Inf;
idx=0;
for i=1:numel(obj1)
if obj1(i).value>m
m=obj1(i).value;
idx=i;
end
end
r=obj1(idx);
end
function r = uminus(obj1)
r=copy(obj1);
r.value=-r.value;
end
function r = minus(obj1,obj2)
if numel(obj1)==numel(obj2)
for i=1:numel(obj1)
r(i)=obj1(i) +(-obj2(i));
end
elseif numel(obj2) == 1 && numel(obj1) > 1
for i=1:numel(obj1)
r(i)=obj1(i) + (-obj2);
end
end
end
function r = plus(obj1,obj2)
if numel(obj1) > 1 && numel(obj2) ==1
for i=1:numel(obj1)
r(i)=obj1(i)+obj2;
end
return
end
if numel(obj2) > 1 && numel(obj1) ==1
for i=1:numel(obj2)
r(i)=obj1+obj2(i);
end
return
end
if numel(obj1)==numel(obj2) && numel(obj1) > 1
for i=1:numel(obj2)
r(i)=obj1(i)+obj2(i);
end
return
end
if isa(obj1,'physVal') && isa(obj2,'physVal')
if obj1 == obj2 % when calculating stdev for a*b with b=a correlation-coefficient becomes significant ;)
r=obj1*2;
return
end
end
if isa(obj1,'physVal')
a=obj1.value;
aErr=obj1.stdev;
aUnit=obj1.unit;
else
a=obj1;
aErr=0;
aUnit='';
end
if isa(obj2,'physVal')
b=obj2.value;
bErr=obj2.stdev;
bUnit=obj2.unit;
else
b=obj2;
bErr=0;
bUnit='';
end
value=a+b;
stdev=sqrt(aErr^2 + bErr^2);
if ~strcmp(char(sym(aUnit)),char(sym(bUnit))) && isa(obj1,'physVal') && isa(obj2,'physVal')
error('addition: units %s and %s dont match!',aUnit,bUnit);
end
r=physVal(value,stdev,aUnit);
end
function r=times(obj1,obj2)
for i=1:numel(obj1)
r(i)=obj1(i).mtimes(obj2);
end
end
function r=rdivide(obj1,obj2)
for i=1:numel(obj1)
r(i)=obj1(i)/obj2;
end
end
function r = mtimes(obj1,obj2) %tested
if isa(obj1,'physVal') && isa(obj2,'physVal')
if obj1 == obj2 % when calculating stdev for a*b with b=a correlation-coefficient becomes significant ;)
r=obj1^2;
return
end
end
if isa(obj1,'physVal')
a=obj1.value;
aErr=obj1.stdev;
aUnit=obj1.unit;
else
a=obj1;
aErr=0;
aUnit='';
end
if isa(obj2,'physVal')
b=obj2.value;
bErr=obj2.stdev;
bUnit=obj2.unit;
else
b=obj2;
bErr=0;
bUnit='';
end
value=a.*b;
if a==0
stdev=b.*aErr;
elseif b==0
stdev=a.*bErr;
else
stdev=value.*sqrt((aErr./a).^2 + (bErr./b).^2);
end
if strcmp(aUnit,bUnit) && ~strcmp(aUnit,'')
unit=strcat(aUnit,'^2');
elseif strcmp(aUnit,'') || strcmp(bUnit,'')
unit=strcat(aUnit,bUnit);
else
unit=strcat(aUnit,'*',bUnit);
end
r=physVal(value,stdev,unit);
end
function r = mrdivide(obj1,obj2)
if obj1 == obj2 % when calculating stdev for a*b with b=a correlation-coefficient becomes significant ;)
r=physVal(1,0,'');
return
end
if isa(obj1,'physVal')
a=obj1.value;
aErr=obj1.stdev;
aUnit=obj1.unit;
else
a=obj1;
aErr=0;
aUnit='1';
end
if isa(obj2,'physVal')
b=obj2.value;
bErr=obj2.stdev;
bUnit=obj2.unit;
else
b=obj2;
bErr=0;
bUnit='1';
end
value=a./b;
stdev=value.*sqrt((aErr./a).^2 + (bErr./b).^2);
if strcmp(aUnit,bUnit)
unit='';
else
if strcmp(bUnit,'')
unit=aUnit;
else
unit=strcat(aUnit,'*((',bUnit,')^-1)');
end
end
r=physVal(value,stdev,unit);
end
function r = mpower(obj,pow)
if pow == 1
r=copy(obj);
return
end
value=obj.value^pow;
stdev=value * pow * (obj.stdev/obj.value);
unit =sprintf('(%s)^%d',obj.unit,pow);
r=physVal(value,stdev,unit);
end
function r=copy(obj)
r=physVal(obj.value,obj.stdev,obj.unit);
end
function disp(obj)
if numel(obj) > 1
for i=1:numel(obj)
obj(i).disp();
end
return;
end
fprintf('%s\n',obj.str);
end
function r=abs(obj)
if numel(obj) > 1
for i=1:numel(obj)
r(i)=abs(obj(i));
end
return;
end
r=physVal(abs(obj.value),obj.stdev,obj.unit);
end
function s=str(obj,prefix)
if numel(obj) > 1
for i=1:numel(obj)
s{i}=obj(i).str(prefix);
end
return;
end
if nargin < 2
[factor, prefix]=obj.SiPrefix(obj.value);
else
factor=1;
end
if numel(obj.unit) > 0
u=char(obj.SIsimplify(char(sym(obj.unit))));
else
u='';
end
u=strcat(prefix,u);
s=sprintf('(%.2f %s %.2f)%s',obj.value*factor,char(177),obj.stdev*factor,u);
end
function v=val(obj)
if numel(obj) == 1
v=obj.value;
else
v=NaN(1,numel(obj));
for i=1:numel(obj)
v(i)=obj(i).value;
end
end
end
function c=cell(obj)
if numel(obj) > 1
c=cell(1,numel(obj));
for i=1:numel(obj)
c{i}=obj(i);
end
else
c{1}=obj;
end
end
function s=sum(obj,~,~)
s=obj(1);
if numel(obj) > 1
for i=2:numel(obj)
s=s+obj(i);
end
end
end
end
methods (Static=true)
%physical constants
%source: http://physics.nist.gov/cgi-bin/cuu/Value?h
function h=h()
h=physVal(6.62606957E-34,2.9E-41,'J*s'); %Js
end
function kb=kb()
%http://physics.nist.gov/cgi-bin/cuu/Value?k|search_for=boltzmann
kb=physVal(1.3806488E-23, 0.0000013E-23,'J*K^-1');
end
function m_e=m_e()
%http://physics.nist.gov/cgi-bin/cuu/Value?me|search_for=electron+mass
m_e=physVal(9.10938291E-31,0.00000040E-31,'kg');
end
function hbar=hbar()
hbar=physVal.h / (2*pi);
end
function e=e()
e=physVal(1.602176565E-19,3.5E-27,'C'); % C
end
function e=eps(material)
if nargin < 1
material=0;
end
switch material
case 0
e=physVal(1/(4*pi*10^-7*299792458^2),0,'F*m^-1'); %nist.gov: e_0 = 1/mu_0*c^2; mu_0=4pi*10^-7
case 'InAs'
e=1;
case 'HEXtransistor' %O. Wunicke
e=2.25;
otherwise
e=1;
end
end
function c=c()
c=physVal(299792458,0,'m*s^-1');
end
%%EOF constants
function r=acosh(obj)
if ~strcmp(obj.unit,'')
warning('acosh: unit not unity');
end
%warning('acosh in physVal: error propagation not properly implemented yet');
r=physVal(acosh(obj.value),0,'');
end
function v=NaN(unit)
if nargin == 0
unit='';
end
v=physVal(NaN,0,unit);
end
function r=double(obj)
if numel(obj) == 1
r=obj.value;
else
for i=1:numel(obj)
r(i)=obj.value;
end
end
end
%%% this function expands the unit to SI base units
function out=SIexpand(input)
units={'Hz', 'C', 'F', 'J', 'ohm', 'T', 'V'};
base ={'s^-1', 'A*s', 's^4*A^2*m^-2*kg^-1', 'kg*m^2*s^-1','kg*m^2*s^-3*A^-2','kg*s^-2*A^-1','kg*m^2*s^-3*A^-1'};
out=subs(input,units,base);
end
function out=SIcollapse(input)
units={'C', 'F', 'F', 'J', 'ohm', 'T', 'V', 'm^2*V*s', 'Hz'};
base ={'A*s', 'C*V^-1', 's^4*A^2*m^-2*kg^-1', 'kg*m^2*s^-1','kg*m^2*s^-3*A^-2','kg*s^-2*A^-1','kg*m^2*s^-3*A^-1','kg*m^4*A^-1*s^-2','s^-1'};
out=subs(input,flip(base),flip(units));
end
function out=SIsimplify(input)
out=physVal.SIcollapse(physVal.SIcollapse(physVal.SIexpand(input)));
end
% by Jan Simon, Taken from:
% http://de.mathworks.com/matlabcentral/answers/892-engineering-notation-printed-into-files
function [factor, Str] = SiPrefix(x,greek) % greek: display greek-letters (latex) instead of unicode
if nargin < 2
greek=0;
end
Exponent = 3 * floor(log10(x) / 3);
y = x / (10 ^ Exponent);
ExpValue = [9, 6, 3, 0, -3, -6, -9, -12, -15, -18];
if greek
ExpName = {'G', 'M', 'k', '', 'm', '\mu', 'n','p','f','a'};
else
ExpName = {'G', 'M', 'k', '', 'm', 'u', 'n','p','f','a'};
end
ExpIndex = (Exponent == ExpValue);
if any(ExpIndex) % Found in the list:
Str = ExpName{ExpIndex};
factor=10^(-Exponent);
else % Fallback: Show the numeric value
% EDITED: Walter refined '%d' to '%+04d':
Str = '';
factor=1;
end
end
end
end