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Team:Cambridge/luminanceSourceCode
From 2010.igem.org
This program calculates the conversion factor between your total radiant output intensity and your luminance output intensity.
To use this program:
- create a new folder
- save the source code below into a file called LuminanceCalculator.cc
- save the data under scotopic into a file called scotopic.dat
- save the data under photopic into a file called photopic.dat
- create your own spectra file by inputting the (xi,f(xi)) coordinates of the spectral distribution file, no spaces just carriage returns i.e. in the format:
x1
f(x1)
x2
f(x2)
...
x2
f(x2)
- 10 values is usually enough, but more would be better. x should be in nanometre (nm) f(x) should be in SI
- save the above as spectra.dat
- open a terminal
- navigate to the folder which all of the above are in
- compile using the command: g++ LuminanceCalculator.cc -o LuminanceCalculator.cc
- run the program
Source Code
- include <iostream>
- include <vector>
- include <fstream>
- include <math.h>
- ifndef __mjdmatrix_h
- define __mjdmatrix_h
- include <iostream>
using namespace std; // generic object (class) definition of matrix: template <class D> class matrix{
// NOTE: maxsize determines available memory storage, but
// actualsize determines the actual size of the stored matrix in use
// at a particular time.
int maxsize; // max number of rows (same as max number of columns)
int actualsize; // actual size (rows, or columns) of the stored matrix
D* data; // where the data contents of the matrix are stored
void allocate() {
delete[] data;
data = new D [maxsize*maxsize];
};
matrix() {}; // private ctor's
matrix(int newmaxsize) {matrix(newmaxsize,newmaxsize);};
public:
void print() { for(int i=0; i<maxsize; i++){ for(int j=0; j<maxsize; j++){
cout << getvalue(i,j) << " "; } cout << endl; }
};
D getvalue(int row, int column){return data[ row * maxsize + column ];};
matrix(int newmaxsize, int newactualsize) { // the only public ctor
if (newmaxsize <= 0) newmaxsize = 5;
maxsize = newmaxsize;
if ((newactualsize <= newmaxsize)&&(newactualsize>0))
actualsize = newactualsize;
else
actualsize = newmaxsize;
// since allocate() will first call delete[] on data:
data = 0;
allocate();
};
~matrix() { delete[] data; };
void comparetoidentity() {
int worstdiagonal = 0;
D maxunitydeviation = 0.0;
D currentunitydeviation;
for ( int i = 0; i < actualsize; i++ ) {
currentunitydeviation = data[i*maxsize+i] - 1.;
if ( currentunitydeviation < 0.0) currentunitydeviation *= -1.;
if ( currentunitydeviation > maxunitydeviation ) {
maxunitydeviation = currentunitydeviation;
worstdiagonal = i;
}
}
int worstoffdiagonalrow = 0;
int worstoffdiagonalcolumn = 0;
D maxzerodeviation = 0.0;
D currentzerodeviation ;
for ( int i = 0; i < actualsize; i++ ) {
for ( int j = 0; j < actualsize; j++ ) {
if ( i == j ) continue; // we look only at non-diagonal terms
currentzerodeviation = data[i*maxsize+j];
if ( currentzerodeviation < 0.0) currentzerodeviation *= -1.0;
if ( currentzerodeviation > maxzerodeviation ) {
maxzerodeviation = currentzerodeviation;
worstoffdiagonalrow = i;
worstoffdiagonalcolumn = j;
}
}
}
cout << "Worst diagonal value deviation from unity: "
<< maxunitydeviation << " at row/column " << worstdiagonal << endl;
cout << "Worst off-diagonal value deviation from zero: "
<< maxzerodeviation << " at row = " << worstoffdiagonalrow
<< ", column = " << worstoffdiagonalcolumn << endl;
}
void settoproduct(matrix& left, matrix& right) {
actualsize = left.getactualsize();
if ( maxsize < left.getactualsize() ) {
maxsize = left.getactualsize();
allocate();
}
for ( int i = 0; i < actualsize; i++ )
for ( int j = 0; j < actualsize; j++ ) {
D sum = 0.0;
D leftvalue, rightvalue;
bool success;
for (int c = 0; c < actualsize; c++) {
left.getvalue(i,c,leftvalue,success);
right.getvalue(c,j,rightvalue,success);
sum += leftvalue * rightvalue;
}
setvalue(i,j,sum);
}
}
void copymatrix(matrix& source) {
actualsize = source.getactualsize();
if ( maxsize < source.getactualsize() ) {
maxsize = source.getactualsize();
allocate();
}
for ( int i = 0; i < actualsize; i++ )
for ( int j = 0; j < actualsize; j++ ) {
D value;
bool success;
source.getvalue(i,j,value,success);
data[i*maxsize+j] = value;
}
};
void setactualsize(int newactualsize) {
if ( newactualsize > maxsize )
{
maxsize = newactualsize ; // * 2; // wastes memory but saves
// time otherwise required for
// operation new[]
allocate();
}
if (newactualsize >= 0) actualsize = newactualsize;
};
int getactualsize() { return actualsize; };
void getvalue(int row, int column, D& returnvalue, bool& success) {
if ( (row>=maxsize) || (column>=maxsize)
|| (row<0) || (column<0) )
{ success = false;
return; }
returnvalue = data[ row * maxsize + column ];
success = true;
};
bool setvalue(int row, int column, D newvalue) {
if ( (row >= maxsize) || (column >= maxsize)
|| (row<0) || (column<0) ) return false;
data[ row * maxsize + column ] = newvalue;
return true;
};
void invert() {
if (actualsize <= 0) return; // sanity check
if (actualsize == 1) return; // must be of dimension >= 2
for (int i=1; i < actualsize; i++) data[i] /= data[0]; // normalize row 0
for (int i=1; i < actualsize; i++) {
for (int j=i; j < actualsize; j++) { // do a column of L
D sum = 0.0;
for (int k = 0; k < i; k++)
sum += data[j*maxsize+k] * data[k*maxsize+i];
data[j*maxsize+i] -= sum;
}
if (i == actualsize-1) continue;
for (int j=i+1; j < actualsize; j++) { // do a row of U
D sum = 0.0;
for (int k = 0; k < i; k++)
sum += data[i*maxsize+k]*data[k*maxsize+j];
data[i*maxsize+j] =
(data[i*maxsize+j]-sum) / data[i*maxsize+i];
}
}
for ( int i = 0; i < actualsize; i++ ) // invert L
for ( int j = i; j < actualsize; j++ ) {
D x = 1.0;
if ( i != j ) {
x = 0.0;
for ( int k = i; k < j; k++ )
x -= data[j*maxsize+k]*data[k*maxsize+i];
}
data[j*maxsize+i] = x / data[j*maxsize+j];
}
for ( int i = 0; i < actualsize; i++ ) // invert U
for ( int j = i; j < actualsize; j++ ) {
if ( i == j ) continue;
D sum = 0.0;
for ( int k = i; k < j; k++ )
sum += data[k*maxsize+j]*( (i==k) ? 1.0 : data[i*maxsize+k] );
data[i*maxsize+j] = -sum;
}
for ( int i = 0; i < actualsize; i++ ) // final inversion
for ( int j = 0; j < actualsize; j++ ) {
D sum = 0.0;
for ( int k = ((i>j)?i:j); k < actualsize; k++ )
sum += ((j==k)?1.0:data[j*maxsize+k])*data[k*maxsize+i];
data[j*maxsize+i] = sum;
}
};
};
- endif
using namespace std;
class Function { private: vector <double> wavelength; vector <double> function; vector <double> lambda;
double RBF(double, double); double sigma; double width; int SIZE;
public: void getData(const char*); void findLambda(double); void fix();
double size(){return wavelength.size();} double lat(int i){return lambda.at(i);} double wat(int i){return wavelength.at(i);} double fat(int i){return function.at(i);} void wequals(int i, double value){wavelength.at(i)=value;} void fequals(int i, double value){function.at(i)=value;}
void eraseBeginning(int); void erase(int);
void print(); void print(double,double,double); void printStore();
double value(double);
};
double X(double j, double a, double h) {return a+j*h;} double H(double a,double b,double n) {return (b-a)/n;}
double integral (double a, double b, Function);
void runProgram(char*,char*);
double luminousFlux(Function, Function);
- define MINI 400
- define MAXI 750
- define CONSTANT 0.7
- define N 10000
- ifndef SPECTRA
- define SPECTRA "spectra.dat"
- endif
int main()
{
char b;
cout << "This program will tell you the conversion factor between Radiance and Luminance for your chosen object with known radiation spectrum" << endl;
cout << endl << "Do you want scotopic (low light) [s] or photopic (normal light) [p] Luminance?" << endl;
while(b!='p'&&b!='s'){cout << "please input s or p" << endl; cin >> b;} cout << endl;
if(b=='s') runProgram("scotopic.dat",SPECTRA); if(b=='p') runProgram("photopic.dat",SPECTRA);
return 0; }
void runProgram(char* lumFile, char* specFile)
{
Function luminosity, spectra;
cout << "Getting luminosity data..." << endl; luminosity.getData(lumFile); cout << "Calculating luminosity function..." << endl; luminosity.findLambda(CONSTANT);
cout << "Getting spectral data..." << endl; spectra.getData(specFile); cout << "Calculating spectral function..." << endl; spectra.findLambda(CONSTANT);
cout << "Calculating luminous flux..." << endl;
double x=luminousFlux(luminosity,spectra) ;
cout << "Conversion Factor is: " << x << endl << endl;
}
void testData(char* data,double CONST, char* output)
{
Function a;
a.getData(data);
a.findLambda(CONST);
ofstream fout(output);
if(!fout) {cout << "Could not open file " << output << " program terminated." << endl; fout.close(); return;}
for(double i=MINI; i<=MAXI ; i+=0.1) fout << i << "\t" << a.value(i) << endl;
// for(double i=0; i<a.size() ; i++) // cout << a.wat(i) << "\t" << a.fat(i)<<"\t" << a.lat(i)<< endl;
fout.close();
}
double luminousFlux(Function x, Function y)
{
double sum1=0, sum2=0;
int a=400,b=750;
double h=H(a,b,N);
for(double j=1; j<=(N/2)-1;j++)
{sum1+=x.value(X(2*j,a,h))*y.value(X(2*j,a,h));}
for(double j=1; j<=N/2; j++) {sum2+=x.value(X(2*j-1,a,h))*y.value(X(2*j-1,a,h));}
return 683.002*((h/3)*( x.value(a)*y.value(a)+ 2*sum1 + 4*sum2 + x.value(b)*y.value(b) ))/integral(a,b,y);
}
double integral (double a, double b, Function func) { double sum1=0, sum2=0; double h=H(a,b,N);
for(double j=1; j<=(N/2)-1;j++) {sum1+=func.value( X( 2*j , a , h ) );}
for(double j=1; j<=N/2; j++) {sum2+=func.value( X( (2*j)-1 , a , h ) );}
return (h/3)* ( func.value(a)+ 2*sum1 + 4*sum2 + func.value(b) ); }
//.............................................................................................................
void Function::getData(const char* a) { double num;
SIZE=200;
ifstream fin(a); if(!fin) {cout << "Could not open file " << a << " program terminated." << endl; fin.close(); return;}
fin >> num; for (int i=0; !fin.eof(); i++ ) { if(!(i%2)){ wavelength.push_back(num); fin >> num;} else { function.push_back(num); fin >> num;} }
fin.close();
int total=wavelength.size(); vector <double> tempwavelength; vector <double> tempfunction;
if(total>SIZE){
for(int i=0; i<wavelength.size(); i++) {
if(i%(total/SIZE)==0){
tempwavelength.push_back(wavelength.at(i));
tempfunction.push_back(function.at(i));
}}
wavelength.clear(); function.clear();
for(int i=0; i<tempwavelength.size(); i++) {
wavelength.push_back(tempwavelength.at(i));
function.push_back(tempfunction.at(i));
}
}
width=(wavelength.back()-wavelength.front())/wavelength.size();
}
void Function::print(double min, double max, double increment) { for(double i=min; i<=max ; i+=increment) cout << i << "\t" << value(i) << endl; }
void Function::printStore() { for(double i=0; i<wavelength.size() ; i++) cout << wavelength.at(i) << "\t" << function.at(i) << endl;
}
void Function::print() { for(int i=0; i<wavelength.size(); i++) { cout << wavelength.at(i) << "\t" << function.at(i) << endl; }
}
double Function::RBF(double a, double b) { return exp(-(a-b)*(a-b)/(2*sigma*sigma)); //return fabs(a-b); //return 1/sqrt(1+sigma*(a-b)*(a-b)); }
void Function::findLambda(double CONST) { sigma=width*CONST;
int M=wavelength.size();
matrix <double> PHI(M,M); matrix <double> lamb(M,1); matrix <double> func(M,1);
for (int i=0; i<M; i++) { func.setvalue(i,1,function.at(i)); for (int j=0; j<M; j++) { PHI.setvalue(i,j,RBF(wavelength.at(i),wavelength.at(j)));
}}
PHI.invert(); lamb.settoproduct(PHI,func);
double value;bool success;
for(int i=0; i<M; i++){lambda.push_back(lamb.getvalue(i,1));} }
double Function::value(double x) { double sum=0; for(int i=0; i<wavelength.size(); i++) sum+=lambda.at(i)*RBF(x,wavelength.at(i));
return sum; }
void Function::fix() { for(int i=0; i<wavelength.size(); i++){ for(int j=0;j<i; j++){ if(wavelength.at(i)==wavelength.at(j)) {wavelength.erase(wavelength.begin()+j); function.erase(function.begin()+j); j=j-1;} }}
}
void Function::eraseBeginning(int i)
{
i/=2;
function.erase(function.begin(), function.begin()+i);
wavelength.erase(wavelength.begin(),wavelength.begin()+i);
}
Photopic
380
3.9000e-005
385
6.4000e-005
390
1.2000e-004
395
2.1700e-004
400
3.9600e-004
405
6.4000e-004
410
1.2100e-003
415
2.1800e-003
420
4.0000e-003
425
7.3000e-003
430
1.1600e-002
435
1.6840e-002
440
2.3000e-002
445
2.9800e-002
450
3.8000e-002
455
4.8000e-002
460
6.0000e-002
465
7.3900e-002
470
9.0980e-002
475
1.1260e-001
480
1.3902e-001
485
1.6930e-001
490
2.0802e-001
495
2.5860e-001
500
3.2300e-001
505
4.0730e-001
510
5.0300e-001
515
6.0820e-001
520
7.1000e-001
525
7.9320e-001
530
8.6200e-001
535
9.1485e-001
540
9.5400e-001
545
9.8030e-001
550
9.9495e-001
555
1.0000e+000
560
9.9500e-001
565
9.7860e-001
570
9.5200e-001
575
9.1540e-001
580
8.7000e-001
585
8.1630e-001
590
7.5700e-001
595
6.9490e-001
600
6.3100e-001
605
5.6680e-001
610
5.0300e-001
615
4.4120e-001
620
3.8100e-001
625
3.2100e-001
630
2.6500e-001
635
2.1700e-001
640
1.7500e-001
645
1.3820e-001
650
1.0700e-001
655
8.1600e-002
660
6.1000e-002
665
4.4580e-002
670
3.2000e-002
675
2.3200e-002
680
1.7000e-002
685
1.1920e-002
690
8.2100e-003
695
5.7230e-003
700
4.1020e-003
705
2.9290e-003
710
2.0910e-003
715
1.4840e-003
720
1.0470e-003
725
7.4000e-004
730
5.2000e-004
Scotopic
380
5.890e-004
385
1.108e-003
390
2.209e-003
395
4.530e-003
400
9.290e-003
405
1.852e-002
410
3.484e-002
415
6.040e-002
420
9.660e-002
425
1.436e-001
430
1.998e-001
435
2.625e-001
440
3.281e-001
445
3.931e-001
450
4.550e-001
455
5.130e-001
460
5.670e-001
465
6.200e-001
470
6.760e-001
475
7.340e-001
480
7.930e-001
485
8.510e-001
490
9.040e-001
495
9.490e-001
500
9.820e-001
505
9.980e-001
510
9.970e-001
515
9.750e-001
520
9.350e-001
525
8.800e-001
530
8.110e-001
535
7.330e-001
540
6.500e-001
545
5.640e-001
550
4.810e-001
555
4.020e-001
560
3.288e-001
565
2.639e-001
570
2.076e-001
575
1.602e-001
580
1.212e-001
585
8.990e-002
590
6.550e-002
595
4.690e-002
600
3.315e-002
605
2.312e-002
610
1.593e-002
615
1.088e-002
620
7.370e-003
625
4.970e-003
630
3.335e-003
635
2.235e-003
640
1.497e-003
645
1.005e-003
650
6.770e-004
655
4.590e-004
660
3.129e-004
665
2.146e-004
670
1.480e-004
675
1.026e-004
680
7.150e-005
685
5.010e-005
690
3.533e-005
695
2.501e-005
700
1.780e-005
705
1.273e-005
710
9.140e-006
715
6.600e-006
720
4.780e-006
725
3.482e-006
730
2.546e-006
735
1.870e-006
740
1.379e-006
745
1.022e-006
750
7.600e-007
755
5.670e-007
760
4.250e-007
765
3.196e-007
770
2.413e-007
775
1.829e-007
780
1.390e-007
