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/usr/share/psychtoolbox-3/PsychRadiometric/RadiometricConversionsTest.m is in psychtoolbox-3-common 3.0.14.20170103+git6-g605ff5c.dfsg1-1build1.

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% RadiometricConversionsTest
%
% Test out the radiometric conversion routines.
%
% This is not a complete test.  And, I thought I wrote such a thing
% once before but can't currently find it.
%
% 6/23/13  dhb  Wrote it.
% 12/2/15  dhb  More tests.

%% Clear
clear; close all;

%% Define a monochromatic radiance
S = [500 1 1];
radianceWattsPerSrM2 = 2.7*ones(S(3),1);

%% Define eye parameters
eyeLengthM = 0.017;
pupilDiameterM = 0.003;
pupilAreaM2 = 2*pi*((pupilDiameterM/2)^2);

%% Define stimulus parameters
stimulusDistanceM = 4.2;
stimulusAreaM2 = 0.24;
stimulusSideDeg = (180/pi)*2*atan(sqrt(stimulusAreaM2)/(2*stimulusDistanceM));
stimulusAreaDeg2 = stimulusSideDeg^2;

%% Convert radiance to retinal irradiance
retIrradianceWattsPerM2 = RadianceAndPupilAreaEyeLengthToRetIrradiance(radianceWattsPerSrM2,S,pupilAreaM2,eyeLengthM);

%% Convert retinal irradiance to units of degrees2.
retIrradianceWattsPerDegrees2 = RetIrradiancePerAreaAndEyeLengthToRetIrradiancePerDegrees2(retIrradianceWattsPerM2,eyeLengthM);

%% Convert back to units of area and check that we get what we put in.
retIrradianceWattsPerM2Check = RetIrradiancePerDegrees2AndEyeLengthToRetIrradiancePerArea(retIrradianceWattsPerDegrees2,eyeLengthM);
fprintf('Retinal irradiance: %0.3g Watts/M2 (%0.3g check), %0.3g Watts/deg2\n', ...
    retIrradianceWattsPerM2,retIrradianceWattsPerM2Check,retIrradianceWattsPerDegrees2);
if (abs(retIrradianceWattsPerM2-retIrradianceWattsPerM2Check) > 1e-10)
    error('Retinal irradiance unit calculations do not invert');
end
    
%% Convert retinal irradiance to corneal irradiance two ways and check.
fractionalTolerance = 0.005;
cornIrradianceWattsPerM2 = RadianceAndDistanceAreaToCornIrradiance(radianceWattsPerSrM2,stimulusDistanceM,stimulusAreaM2);
cornIrradianceWattsPerM2Check = RadianceAndDegrees2ToCornIrradiance(radianceWattsPerSrM2,stimulusAreaDeg2);
fprintf('Corneal irradiance: %0.3g Watts/M2 (%0.3g check)\n', ...
    cornIrradianceWattsPerM2,cornIrradianceWattsPerM2Check);
if (abs(cornIrradianceWattsPerM2-cornIrradianceWattsPerM2Check)/cornIrradianceWattsPerM2 > fractionalTolerance)
    error('Two ways of computing corneal irradiance from radiance do not agree');
end

%% Convert corneal irradiance to radiance and make sure we get what we started with
radianceWattsPerSrM2Check = CornIrradianceAndDegrees2ToRadiance(cornIrradianceWattsPerM2,stimulusAreaDeg2);
fprintf('Radiance: %0.4g Watts/[sr-M2] (%0.4g check)\n', ...
    radianceWattsPerSrM2,radianceWattsPerSrM2Check);
if (abs(radianceWattsPerSrM2-radianceWattsPerSrM2Check)/radianceWattsPerSrM2 > fractionalTolerance)
    error('Radiance to corneal irradiance and back does not agree');
end

%% Convert corneal irradiance directly to retinal irradiance 
% and make sure it matches what we get from the direct conversion from
% radiance to retinal irradiance.
retIrradianceWattsPerDegrees2Check = cornIrradianceWattsPerM2*pupilAreaM2/stimulusAreaDeg2;
if (abs(retIrradianceWattsPerDegrees2-retIrradianceWattsPerDegrees2Check)/retIrradianceWattsPerDegrees2 > fractionalTolerance)
    error('Cannot get same retinal irradiance per degrees^2 in two ways');
end
fprintf('Retinal irradiance: %0.4g Watts/deg2 (%0.4g check)\n', ...
    retIrradianceWattsPerDegrees2,retIrradianceWattsPerDegrees2Check);

%% Convert retinal irradiance directly to units of M2 on the retina
MMPerDeg = DegreesToRetinalMM(1,eyeLengthM*1000);
MPerDeg = MMPerDeg*10^-3;
MM2PerDeg2 = MPerDeg^2;
retIrradianceWattsPerM2CheckCheck = retIrradianceWattsPerDegrees2/MM2PerDeg2;
retIrradianceWattsPerM2Check = RetIrradiancePerDegrees2AndEyeLengthToRetIrradiancePerArea(retIrradianceWattsPerDegrees2,eyeLengthM);
fprintf('Retinal irradiance: %0.3g Watts/M2 (%0.3g check)\n', ...
    retIrradianceWattsPerM2,retIrradianceWattsPerM2CheckCheck);
if (abs(retIrradianceWattsPerM2-retIrradianceWattsPerM2CheckCheck) > 1e-10)
    error('Another retinal irradiance calculation leads to inconsistency');
end