view +time/Timestepper.m @ 1198:2924b3a9b921 feature/d2_compatible

Add OpSet for fully compatible D2Variable, created from regular D2Variable by replacing d1 by first row of D1. Formal reduction by one order of accuracy at the boundary point.
author Martin Almquist <malmquist@stanford.edu>
date Fri, 16 Aug 2019 14:30:28 -0700
parents 64a9a8a27858
children 8894e9c49e40
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classdef Timestepper < handle
    properties (Abstract)
        t
        k
        n
    end

    methods (Abstract)
         [v,t] = getV(obj)
         obj = step(obj)
    end


    methods
        function [v,t] = stepN(obj,n,progress_bar)
            default_arg('progress_bar',false);

            if ~progress_bar
                obj.stepN_without_progress(n);
            else
                obj.stepN_with_progress(n);
            end

            v = obj.getV;
            t = obj.t;
        end

        function stepN_without_progress(obj, n)
            for i=1:n
                obj.step();
            end
        end

        function stepN_with_progress(obj, n)
            FRAME_RATE = 20;

            steps_to_update = 1;
            steps_since_update = 0;
            last_update = tic();
            s = util.replace_string('','   %d %%',0);
            for i=1:n
                obj.step();

                steps_since_update = steps_since_update + 1;

                if steps_since_update >= steps_to_update
                    s = util.replace_string(s,'   %.2f %%',i/n*100);

                    time_since_update = toc(last_update);
                    time_error = time_since_update - 1/FRAME_RATE;
                    time_per_step = time_since_update/steps_since_update;

                    steps_to_update = max(steps_to_update - 0.9*time_error/time_per_step ,1);

                    steps_since_update = 0;
                    last_update = tic();
                end
            end

            s = util.replace_string(s,'');
        end


        function [v, t] = stepTo(obj, n, progress_bar)
            assertScalar(n);
            default_arg('progress_bar',false);

            [v, t] = obj.stepN(n-obj.n, progress_bar);
        end

        function [v,t] = evolve(obj, tend, progress_bar)
            default_arg('progress_bar',false)
            if ~progress_bar
                obj.evolve_without_progress(tend);
            else
                obj.evolve_with_progress(tend);
            end
            v = obj.getV;
            t = obj.t;
        end

        function evolve_without_progress(obj, tend)
            while obj.t < tend - obj.k/2
                obj.step();
            end
        end

        function evolve_with_progress(obj, tend)
            FRAME_RATE = 20;

            steps_to_update = 1;
            steps_since_update = 0;
            last_update = tic();
            s = util.replace_string('','   %d %%',0);
            while obj.t < tend - obj.k/2
                obj.step();

                steps_since_update = steps_since_update + 1;

                if steps_since_update >= steps_to_update
                    s = util.replace_string(s,'   %.2f %%',obj.t/tend*100);

                    time_since_update = toc(last_update);
                    time_error = time_since_update - 1/FRAME_RATE;
                    time_per_step = time_since_update/steps_since_update;

                    steps_to_update = max(steps_to_update - 0.9*time_error/time_per_step ,1);

                    steps_since_update = 0;
                    last_update = tic();
                end
            end

            s = util.replace_string(s,'');
        end


    end
end