222 lines
4.7 KiB
Matlab
222 lines
4.7 KiB
Matlab
%%%% ECE-210-B HW 4 - Functions and Objects
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% James Ryan, 02/21/24
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% preamble
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close all; clear; clc;
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%% My Sinc Is Broken
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% (1)
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% see deriv.m
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x = linspace(-5, 5, 1e3);
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sinc_x = sinc(x);
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deriv_sinc = deriv(sinc_x, x);
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% see antideriv.m
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% approximates an integral of a given function using `cumtrapz`
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int_sinc = antideriv(sinc_x, x);
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% (2)
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% see switchsign.m
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% (3)
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[extrema_sinc_x, extrema_x] = extrema(sinc_x, x);
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[inflect_sinc_x, inflect_x] = inflections(sinc_x, x);
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% (4)
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figure;
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plot(x, sinc_x, x, int_sinc, x, deriv_sinc, ...
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extrema_x, extrema_sinc_x, 'r*', ...
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inflect_x, inflect_sinc_x, 'bo');
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ylim([-2 2.45]);
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xlim([-5, 5]);
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ylabel("y-axis");
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xlabel("x-axis");
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grid on;
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title( {'y = sinc(x) plotted over 1000 evenly spaced pts between x \epsilon [-5,5]', ...
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'Plotted alongside its first derivative and antiderivative.'});
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legend( 'y = sinc(x)',"$\int [sinc(x)] dx$",'$\frac{d}{dx} [sinc(x)]$', ...
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'Points of Extrema', 'Inflection Points', ...
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"Interpreter","latex");
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%% Objectification
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% (1)
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% Matlab Classic Noteworthy Logo (TM) (C) (Not-for-individual-sale)
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L = 160*membrane(1,100);
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f = figure;
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ax = axes;
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s = surface(L);
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s.EdgeColor = 'none';
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view(3)
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ax.XLim = [1 201];
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ax.YLim = [1 201];
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ax.ZLim = [-53.4 160];
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ax.CameraPosition = [-145.5 -229.7 283.6];
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ax.CameraTarget = [77.4 60.2 63.9];
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ax.CameraUpVector = [0 0 1];
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ax.CameraViewAngle = 36.7;
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ax.Position = [0 0 1 1];
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ax.DataAspectRatio = [1 1 .9];
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l1 = light;
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l1.Position = [160 400 80];
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l1.Style = 'local';
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l1.Color = [0 0.8 0.8];
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l2 = light; % l2 = l1;
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l2.Position = [.5 -1 .4];
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l2.Color = [0.8 0.8 0];
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s.FaceColor = [0.9 0.2 0.2];
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s.FaceLighting = 'gouraud';
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s.AmbientStrength = 0.3;
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s.DiffuseStrength = 0.6;
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s.BackFaceLighting = 'lit';
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s.SpecularStrength = 1;
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s.SpecularColorReflectance = 1;
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s.SpecularExponent = 7;
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axis off
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f.Color = 'black';
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% (2)
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% Copyobj is not cooperating. Time to be lazy!
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% Matlab Classic Noteworthy Logo (TM) (C) (Not-for-individual-sale)
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f_dupe = figure;
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ax_dupe = axes;
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s_dupe = surface(L);
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s_dupe.EdgeColor = 'none';
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view(3)
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ax_dupe.XLim = [1 201];
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ax_dupe.YLim = [1 201];
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ax_dupe.ZLim = [-53.4 160];
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ax_dupe.CameraPosition = [-145.5 -229.7 283.6];
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ax_dupe.CameraTarget = [77.4 60.2 63.9];
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ax_dupe.CameraUpVector = [0 0 1];
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ax_dupe.CameraViewAngle = 36.7;
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ax_dupe.Position = [0 0 1 1];
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ax_dupe.DataAspectRatio = [1 1 .9];
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l3 = light;
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l3.Position = [160 400 80];
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l3.Style = 'local';
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l3.Color = [0 0.8 0.8];
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l4 = light; % l2 = l1;
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l4.Position = [.5 -1 .4];
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l4.Color = [0.8 0.8 0];
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s_dupe.FaceColor = [0.9 0.2 0.2];
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s_dupe.FaceLighting = 'gouraud';
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s_dupe.AmbientStrength = 0.3;
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s_dupe.DiffuseStrength = 0.6;
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s_dupe.BackFaceLighting = 'lit';
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s_dupe.SpecularStrength = 1;
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s_dupe.SpecularColorReflectance = 1;
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s_dupe.SpecularExponent = 7;
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axis off
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f_dupe.Color = 'black';
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% James's Changes
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% Change one - light at the origin!
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l4.Position = [0 0 0];
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l4.Color = [1 1 1];
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% This made the logo significantly more purple!
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% Change two - colormap
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colormap winter;
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% I didnt really notice a change with this one.
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% Change three - function
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s_dupe.FaceLighting = 'flat';
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% I changed the surface! It has different face lighting. Thats changing
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% the function, right?
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% It helped emphasize the purple-maroon which possesses the shape at the moment
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% Change four - backround
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f_dupe.Color = 'red';
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% Hard to miss - the entire background is now red!
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% (3)
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figure;
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% Matlab <TM>
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ax_former = subplot(2,1,1);
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copyobj(ax.Children, ax_former);
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title('Matlab <TM>');
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ax_former.XLim = [1 201];
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ax_former.YLim = [1 201];
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ax_former.ZLim = [-53.4 160];
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ax_former.XTick = [];
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ax_former.YTick = [];
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ax_former.ZTick = [];
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ax_former.CameraPosition = [-145.5 -229.7 283.6];
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ax_former.CameraTarget = [77.4 60.2 63.9];
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ax_former.CameraUpVector = [0 0 1];
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ax_former.CameraViewAngle = 36.7;
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l5 = light;
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l5.Position = [160 400 80];
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l5.Style = 'local';
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l5.Color = [0 0.8 0.8];
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l6 = light; % l2 = l1;
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l6.Position = [.5 -1 .4];
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l6.Color = [0.8 0.8 0];
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% James Plot
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ax_latter = subplot(2,1,2);
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copyobj(ax_dupe.Children, ax_latter);
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title('Conspicuous Copycat');
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ax_latter.XLim = [1 201];
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ax_latter.YLim = [1 201];
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ax_latter.ZLim = [-53.4 160];
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ax_latter.XTick = [];
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ax_latter.YTick = [];
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ax_latter.ZTick = [];
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ax_latter.CameraPosition = [-145.5 -229.7 283.6];
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ax_latter.CameraTarget = [77.4 60.2 63.9];
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ax_latter.CameraUpVector = [0 0 1];
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ax_latter.CameraViewAngle = 36.7;
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l7 = light;
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l7.Position = [160 400 80];
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l7.Style = 'local';
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l7.Color = [0 0.8 0.8];
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l8 = light; % l2 = l1;
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l8.Position = [.5 -1 .4];
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l8.Color = [0.8 0.8 0];
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% James's Changes
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% Change one - light at the origin!
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l8.Position = [0 0 0];
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l8.Color = [1 1 1];
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% This made the logo significantly more purple!
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% (4)
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get(f)
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f.PaperOrientation = 'landscape';
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f.PaperType = 'a4';
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f.PaperUnits = 'centimeters';
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% My figure now is configured to print in Europe! And its sideways.
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