restructuring

This commit is contained in:
2022-03-10 11:04:14 +03:00
parent 29560b7c0c
commit 733dbd75d2
1758 changed files with 14 additions and 26855 deletions

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function [X0 Y0 K] = buildk(X, Y, dYmax)
%
% [X0 Y0 K] = buildk(X, Y, dYmax) - build arrays of knots (X0, Y0) and linear koefficients K
% for piecewise-linear approximation of Y(X) with max deviation `dYmax`
%
X0 = []; Y0 = []; K = [];
knots = [1 getknots(X, Y, dYmax) max(size(X))];
for i = 1:max(size(knots))-1
idx = knots(i):knots(i+1);
[x y k] = linearapprox(X(idx), Y(idx));
X0 = [X0 x]; Y0 = [Y0 y]; K = [K k];
endfor
endfunction

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function T = calcT(ADU)
%
% T = calcT(ADU) - piecewise calculation prototype
%
X0 = [732.44 944.75 1197.23 2034.68 2308.60 2541.55 2738.63 2859.45 2969.21 3067.67 3153.52 3228.22 3292.84 3347.15];
Y0 = [10.000 16.000 22.700 43.750 50.800 57.100 62.800 66.550 70.200 73.750 77.150 80.450 83.700 86.900];
K = [0.028261 0.026536 0.025136 0.025738 0.027044 0.028922 0.031038 0.033255 0.036056 0.039606 0.044173 0.050296 0.058920 0.071729];
imax = max(size(X0)); idx = int32((imax+1)/2);
T = [];
% find index
while(idx > 0 && idx <= imax)
x = X0(idx);
half = int32(idx/2);
if(ADU < x)
%printf("%g < %g\n", ADU, x);
if(idx == 1) break; endif; % less than first index
if(ADU > X0(idx-1)) idx -= 1; break; endif; % found
idx = half; % another half
else
%printf("%g > %g\n", ADU, x);
if(idx == imax) break; endif; % more than last index
if(ADU < X0(idx+1)) break; endif; % found
idx += half;
endif
endwhile
if(idx < 1) printf("too low (<%g)!\n", X0(1)); idx = 1; endif
if(idx > imax) idx = imax; endif;
T = Y0(idx) + K(idx) * (ADU - X0(idx));
endfunction

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function idx = getknots(X, Y, dYmax)
%
% idx = getknots(X, Y, dYmax) - calculate piecewise-linear approximation knots for Y(X)
% dYmax - maximal deviation
%
idx = [];
I = getnewpt(X, Y, dYmax);
if(I > 0)
L = getknots(X(1:I), Y(1:I), dYmax);
R = I-1 + getknots(X(I:end), Y(I:end), dYmax);
idx = [L I R];
endif
endfunction

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function idx = getnewpt(X, Y, delt)
%
% idx = getnewpt(X, Y, delt)
% find point where Y-`linear approx` is maximal
% return index of max deviation or -1 if it is less than `delt`
%
% make approximation
[x0 y0 k] = linearapprox(X,Y);
% find new knot
adiff = abs(Y - (y0 + k*(X-x0)));
maxadiff = max(adiff);
if(maxadiff < delt)
idx = -1;
else
idx = find(adiff == max(adiff));
endif
endfunction

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function [x0 y0 k] = linearapprox(X,Y)
%
% [a b] = linearapprox(X,Y) - find linear approximation of function Y(X) through first and last points
% y = y0 + k*(X-x0)
%
x0 = X(1); y0 = Y(1);
k = (Y(end) - y0) / (X(end) - x0);
endfunction

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<html><head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
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<body>
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