From df61a381930107b90447d639d3da0c75a49da76b Mon Sep 17 00:00:00 2001 From: arwelHughes Date: Tue, 18 Aug 2026 14:23:54 +0100 Subject: [PATCH 1/5] Added new resolution function. Incorporated and verified that tests look reasonable. Build OK --- .../callReflectivity/callReflectivity.m | 4 +- .../simpleGaussian/gaussian_convolution.m | 238 ++++++++++++++++++ 2 files changed, 241 insertions(+), 1 deletion(-) create mode 100644 targetFunctions/common/resolutionFunctions/simpleGaussian/gaussian_convolution.m diff --git a/targetFunctions/common/callReflectivity/callReflectivity.m b/targetFunctions/common/callReflectivity/callReflectivity.m index 50811a12d..31a80198c 100644 --- a/targetFunctions/common/callReflectivity/callReflectivity.m +++ b/targetFunctions/common/callReflectivity/callReflectivity.m @@ -54,7 +54,9 @@ end % Apply resolution correction - simulation(:,2) = resolutionPolly(simulationXData,simRef,resolution(:,2),length(simulationXData)); + %simulation(:,2) = resolutionPolly(simulationXData,simRef,resolution(:,2),length(simulationXData)); + resol = resolution(:,2) .* simulationXData; + simulation(:,2) = gaussian_convolution(simulationXData, simRef, simulationXData, resol); otherwise coderException(coderEnums.errorCodes.invalidOption, 'The reflectivity type "%s" is not supported', refType); diff --git a/targetFunctions/common/resolutionFunctions/simpleGaussian/gaussian_convolution.m b/targetFunctions/common/resolutionFunctions/simpleGaussian/gaussian_convolution.m new file mode 100644 index 000000000..018b1cf4c --- /dev/null +++ b/targetFunctions/common/resolutionFunctions/simpleGaussian/gaussian_convolution.m @@ -0,0 +1,238 @@ +function y = gaussian_convolution(xin, yin, x, dx) + + % Convolve the input function yin(xin) with a Gaussian resolution + % function. + % + % For each output point xo = x(k_out), the calculation is + % + % y(xo) = integral[ yin(x) * G(xo-x; sigma) dx ] + % + % where + % + % G(xo-x; sigma) = 1/(sqrt(2*pi)*sigma) + % * exp(-(xo-x)^2/(2*sigma^2)) + % + % The input function yin(xin) is assumed to be piecewise linear + % between the supplied xin points. The convolution integral over + % each linear segment can then be evaluated analytically. + % + % sigma = dx(k_out) is the Gaussian resolution width associated + % with each output point. + + y = zeros(size(x)); + Nin = numel(xin); + Nout = numel(x); + + % log(0.001). This is used to truncate the Gaussian when its + % amplitude has fallen to 0.1% of its maximum. + LOG_RESLIMIT = -6.90775527898213703123; + + % Index of the input point near the left-hand edge of the + % Gaussian integration range. This is carried between output + % points to avoid repeatedly searching from the beginning. + k_in = 1; + + for k_out = 1:Nout + + % Gaussian resolution width for this output point. + sigma = dx(k_out); + + % Output coordinate at which we want the convolved value. + xo = x(k_out); + + % Truncate the Gaussian when it has fallen to 0.1% of + % its peak value. + % + % exp(-limit^2/(2*sigma^2)) = 0.001 + % + % Therefore + % + % limit = sqrt(-2*sigma^2*log(0.001)) + % ~= 3.717*sigma + % + % so the convolution only needs to consider approximately + % + % xo - 3.717*sigma <= x <= xo + 3.717*sigma. + limit = sqrt(-2.0 * sigma * sigma * LOG_RESLIMIT); + + + % Find the first input point at or just after the left-hand + % edge of the Gaussian integration range. + while k_in < Nin && xin(k_in) < xo - limit + k_in = k_in + 1; + end + + % Move back one point if necessary so that k_in is the input + % point immediately before (or near) xo-limit. + while k_in > 1 && xin(k_in) > xo - limit + k_in = k_in - 1; + end + + + if sigma > 0 + + % Perform the actual Gaussian convolution at xo. + % + % convolveGaussianPoint treats yin(xin) as a piecewise + % linear function and integrates each linear segment + % analytically against the Gaussian resolution function. + y(k_out) = convolveGaussianPoint( ... + xin, yin, k_in, Nin, xo, limit, sigma); + + elseif k_in < Nin + + % If sigma = 0 there is no resolution broadening. + % Simply linearly interpolate yin at xo. + + m = (yin(k_in + 1) - yin(k_in)) / ... + (xin(k_in + 1) - xin(k_in)); + + b = yin(k_in) - m * xin(k_in); + + y(k_out) = m * xo + b; + + elseif k_in > 1 + + % If sigma = 0 and xo lies beyond the final input point, + % linearly extrapolate from the final two points. + + m = (yin(k_in) - yin(k_in - 1)) / ... + (xin(k_in) - xin(k_in - 1)); + + b = yin(k_in) - m * xin(k_in); + + y(k_out) = m * xo + b; + end + end +end + + +function out = convolveGaussianPoint(xin, yin, k, n, xo, limit, sigma) + + SQRT2 = 1.41421356237309504880; + SQRT2PI = 2.50662827463100050241; + + % Precompute quantities that are constant for this output point. + % + % These would otherwise be recalculated for every input interval. + inv_sqrt2sigma = 1.0 / (SQRT2 * sigma); + sigma_over_sqrt2pi = sigma / SQRT2PI; + + % 2*sigma^2, used in the Gaussian exponent. + two_sigma_sq = 2.0 * sigma * sigma; + + + % --------------------------------------------------------------- + % Initialise at the first input point. + % --------------------------------------------------------------- + + % Distance from the input point to the output position. + z = xo - xin(k); + + % Unnormalised Gaussian at this point: + % + % G = exp(-(xo-x)^2/(2*sigma^2)) + % + Glo = exp(-z * z / two_sigma_sq); + + % The integral of the Gaussian is expressed in terms of erf: + % + % erf(-(xo-x)/(sqrt(2)*sigma)) + % + erfmin = erf(-z * inv_sqrt2sigma); + erflo = erfmin; + + % Accumulate the convolution integral here. + y = 0; + + + % --------------------------------------------------------------- + % Integrate over the piecewise-linear input function. + % --------------------------------------------------------------- + + while k < n + + k = k + 1; + + % Ignore duplicate input points. + if xin(k) ~= xin(k - 1) + + % Distance from the new input point to xo. + zhi = xo - xin(k); + + % Dimensionless distance in units of sigma: + % + % u = -(xo-x)/(sqrt(2)*sigma) + % + u = -zhi * inv_sqrt2sigma; + + % Unnormalised Gaussian at the new endpoint. + Ghi = exp(-u * u); + + % Error-function value at the new endpoint. + erfhi = erf(u); + + + % ------------------------------------------------------- + % Linear interpolation between the two input points. + % + % yin(x) = m*x + b + % ------------------------------------------------------- + + m = (yin(k) - yin(k - 1)) / ... + (xin(k) - xin(k - 1)); + + b = yin(k) - m * xin(k); + + + % ------------------------------------------------------- + % Analytically integrate + % + % (m*x + b) * Gaussian(x) + % + % over this input interval. + % + % The first term comes from the integral of the + % Gaussian and therefore contains erf(). + % + % The second term comes from the integral of + % (x-xo)*Gaussian and therefore contains Ghi-Glo. + % ------------------------------------------------------- + + y = y ... + + 0.5 * (m * xo + b) * (erfhi - erflo) ... + - sigma_over_sqrt2pi * m * (Ghi - Glo); + + + % Current endpoint becomes the lower endpoint for + % the next interval. + Glo = Ghi; + erflo = erfhi; + + + % Stop once we have reached the upper Gaussian limit. + % + % limit ~= 3.717*sigma, corresponding to a Gaussian + % amplitude of approximately 0.1% of its peak. + if xin(k) >= xo + limit + break + end + end + end + + + % --------------------------------------------------------------- + % Normalisation + % --------------------------------------------------------------- + % + % The Gaussian has been truncated to approximately +/-3.717*sigma, + % so its integrated area is slightly less than one. + % + % The erf difference gives the area of this truncated Gaussian. + % Renormalising ensures that a constant input function remains + % constant after convolution. + % --------------------------------------------------------------- + + out = 2 * y / (erflo - erfmin); + +end \ No newline at end of file From e21e10f3c4c621e5cf423651beb1f20ba33d767a Mon Sep 17 00:00:00 2001 From: arwelHughes Date: Tue, 18 Aug 2026 15:01:05 +0100 Subject: [PATCH 2/5] Fixed most unit tests. Fails on R1 compares for some reason? --- .../domainsCustomLayersInputs.mat | Bin 10622 -> 10622 bytes .../domainsCustomLayersOutputs.mat | Bin 100557 -> 100511 bytes .../domainsCustomLayersTFParams.mat | Bin 27080 -> 27062 bytes .../domainsCustomXYInputs.mat | Bin 10651 -> 10651 bytes .../domainsCustomXYOutputs.mat | Bin 123368 -> 123414 bytes .../domainsCustomXYTFParams.mat | Bin 37624 -> 37638 bytes .../domainsStandardLayersInputs.mat | Bin 11226 -> 11226 bytes .../domainsStandardLayersOutputs.mat | Bin 95154 -> 94938 bytes .../domainsStandardLayersTFParams.mat | Bin 26676 -> 26711 bytes .../absorptionInputs.mat | Bin 28741 -> 28741 bytes .../absorptionOutputs.mat | Bin 161254 -> 161038 bytes .../absorptionTFParams.mat | Bin 43518 -> 43437 bytes .../customLayersInputs.mat | Bin 27625 -> 27625 bytes .../customLayersOutputs.mat | Bin 92620 -> 92616 bytes .../customLayersTFParams.mat | Bin 18935 -> 18932 bytes .../customXYInputs.mat | Bin 10754 -> 10754 bytes .../customXYOutputs.mat | Bin 281346 -> 281055 bytes .../customXYTFParams.mat | Bin 90334 -> 90241 bytes .../standardLayersInputs.mat | Bin 28548 -> 28548 bytes .../standardLayersOutputs.mat | Bin 93924 -> 93922 bytes .../standardLayersTFParams.mat | Bin 18895 -> 18886 bytes .../callReflectivityOutputs.mat | Bin 2745 -> 2773 bytes .../gaussianConvInputs.mat | Bin 0 -> 1828 bytes .../gaussianConvOutputs.mat | Bin 0 -> 1035 bytes .../testCommonFunctions/testCommonFunctions.m | 26 ++++++++++++++---- .../DSPCBilayerProjectClass.mat | Bin 12895 -> 12895 bytes .../monolayerVolumeModelProjectClass.mat | Bin 14505 -> 14505 bytes 27 files changed, 21 insertions(+), 5 deletions(-) create mode 100644 tests/testCommonFunctions/gaussianConvInputs.mat create mode 100644 tests/testCommonFunctions/gaussianConvOutputs.mat diff --git a/tests/domainsTFReflectivityCalculation/domainsCustomLayersInputs.mat b/tests/domainsTFReflectivityCalculation/domainsCustomLayersInputs.mat index 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