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annotate alignedTimestep.m @ 87:0a29a60e0b21

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In Curve: Rearranged for speed. arc_length_fun is now a property of Curve. If it is not supplied, it is computed via the derivative and spline fitting. Switching to the arc length parameterization is much faster now. The new stuff can be tested with testArcLength.m (which should be deleted after that).
author Martin Almquist <martin.almquist@it.uu.se>
date Sun, 29 Nov 2015 22:23:09 +0100
parents c71095442c57
children
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12
c71095442c57 Added function to calculate an aligned timestep.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
1 % Calcualtes the largest timestep smaller than k_max that gives an integer
c71095442c57 Added function to calculate an aligned timestep.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
2 % number of timesteps to time T.
c71095442c57 Added function to calculate an aligned timestep.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
3 % k_max -- largest allowable timestep
c71095442c57 Added function to calculate an aligned timestep.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
4 % T -- time to align with
c71095442c57 Added function to calculate an aligned timestep.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
5 %
c71095442c57 Added function to calculate an aligned timestep.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
6 % Returns:
c71095442c57 Added function to calculate an aligned timestep.
Jonatan Werpers <jonatan@werpers.com>
parents:
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7 % k -- calculated timestep
c71095442c57 Added function to calculate an aligned timestep.
Jonatan Werpers <jonatan@werpers.com>
parents:
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8 % N -- number to of timestep to reach T
c71095442c57 Added function to calculate an aligned timestep.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
9 function [k, N] = alignedTimestep(k_max, T)
c71095442c57 Added function to calculate an aligned timestep.
Jonatan Werpers <jonatan@werpers.com>
parents:
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10 N = ceil(T/k_max);
c71095442c57 Added function to calculate an aligned timestep.
Jonatan Werpers <jonatan@werpers.com>
parents:
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11 k = T/N;
c71095442c57 Added function to calculate an aligned timestep.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
12 end