Mercurial > repos > public > sbplib
annotate findZeros.m @ 577:e45c9b56d50d feature/grids
Add an Empty grid class
The need turned up for the flexural code when we may or may not have a grid for the open water and want to plot that solution.
In case there is no open water we need an empty grid to plot the empty gridfunction against to avoid errors.
author | Jonatan Werpers <jonatan@werpers.com> |
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date | Thu, 07 Sep 2017 09:16:12 +0200 |
parents | 8368beb0d1b3 |
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8368beb0d1b3
Added function to calculate multiple solutions to an equation.
Jonatan Werpers <jonatan@werpers.com>
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1 % findZeros looks for solutions to the equation f(x)==0 within |
8368beb0d1b3
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Jonatan Werpers <jonatan@werpers.com>
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2 % the limits lim with a granularity of h. |
8368beb0d1b3
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parents:
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3 % Returns a sorted list of unique solutions. |
8368beb0d1b3
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Jonatan Werpers <jonatan@werpers.com>
parents:
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4 function z = findZeros(f, lim, h) |
8368beb0d1b3
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5 n = ceil((lim(2)-lim(1))/h); |
8368beb0d1b3
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Jonatan Werpers <jonatan@werpers.com>
parents:
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6 z0 = linspace(lim(1), lim(2), n); |
8368beb0d1b3
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Jonatan Werpers <jonatan@werpers.com>
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7 |
8368beb0d1b3
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8 z = zeros(1,n); |
8368beb0d1b3
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9 |
8368beb0d1b3
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10 for i = 1:n |
8368beb0d1b3
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11 zt(i) = fzero(f, z0(i)); |
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12 end |
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13 |
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14 zt = sort(zt); |
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15 |
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16 z = []; |
8368beb0d1b3
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17 for i = 1:n |
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18 if zt(i) < lim(1) || zt(i) > lim(2) |
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19 continue |
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20 end |
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21 |
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22 if ~isempty(z) && abs(z(end) - zt(i)) < 1e-6 |
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23 continue |
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24 end |
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25 |
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26 z = [z zt(i)]; |
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27 end |
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28 |
8368beb0d1b3
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29 % z = unique(z); |
8368beb0d1b3
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30 end |