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221
hw4/Ryan_HW4_022124.m
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221
hw4/Ryan_HW4_022124.m
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@ -0,0 +1,221 @@
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%%%% 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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||||
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s = surface(L);
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s.EdgeColor = 'none';
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view(3)
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||||
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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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||||
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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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|
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ax.Position = [0 0 1 1];
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ax.DataAspectRatio = [1 1 .9];
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|
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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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|
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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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|
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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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|
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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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|
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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];
|
||||
|
||||
s_dupe.FaceColor = [0.9 0.2 0.2];
|
||||
|
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s_dupe.FaceLighting = 'gouraud';
|
||||
s_dupe.AmbientStrength = 0.3;
|
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s_dupe.DiffuseStrength = 0.6;
|
||||
s_dupe.BackFaceLighting = 'lit';
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||||
|
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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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|
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axis off
|
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f_dupe.Color = 'black';
|
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|
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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];
|
||||
% This made the logo significantly more purple!
|
||||
|
||||
% Change two - colormap
|
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colormap winter;
|
||||
% I didnt really notice a change with this one.
|
||||
|
||||
% Change three - function
|
||||
s_dupe.FaceLighting = 'flat';
|
||||
% I changed the surface! It has different face lighting. Thats changing
|
||||
% the function, right?
|
||||
% It helped emphasize the purple-maroon which possesses the shape at the moment
|
||||
|
||||
% 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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||||
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% (3)
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figure;
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|
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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>');
|
||||
|
||||
ax_former.XLim = [1 201];
|
||||
ax_former.YLim = [1 201];
|
||||
ax_former.ZLim = [-53.4 160];
|
||||
ax_former.XTick = [];
|
||||
ax_former.YTick = [];
|
||||
ax_former.ZTick = [];
|
||||
|
||||
ax_former.CameraPosition = [-145.5 -229.7 283.6];
|
||||
ax_former.CameraTarget = [77.4 60.2 63.9];
|
||||
ax_former.CameraUpVector = [0 0 1];
|
||||
ax_former.CameraViewAngle = 36.7;
|
||||
|
||||
l5 = light;
|
||||
l5.Position = [160 400 80];
|
||||
l5.Style = 'local';
|
||||
l5.Color = [0 0.8 0.8];
|
||||
|
||||
l6 = light; % l2 = l1;
|
||||
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');
|
||||
|
||||
ax_latter.XLim = [1 201];
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||||
ax_latter.YLim = [1 201];
|
||||
ax_latter.ZLim = [-53.4 160];
|
||||
ax_latter.XTick = [];
|
||||
ax_latter.YTick = [];
|
||||
ax_latter.ZTick = [];
|
||||
|
||||
|
||||
ax_latter.CameraPosition = [-145.5 -229.7 283.6];
|
||||
ax_latter.CameraTarget = [77.4 60.2 63.9];
|
||||
ax_latter.CameraUpVector = [0 0 1];
|
||||
ax_latter.CameraViewAngle = 36.7;
|
||||
|
||||
l7 = light;
|
||||
l7.Position = [160 400 80];
|
||||
l7.Style = 'local';
|
||||
l7.Color = [0 0.8 0.8];
|
||||
|
||||
l8 = light; % l2 = l1;
|
||||
l8.Position = [.5 -1 .4];
|
||||
l8.Color = [0.8 0.8 0];
|
||||
|
||||
% James's Changes
|
||||
% Change one - light at the origin!
|
||||
l8.Position = [0 0 0];
|
||||
l8.Color = [1 1 1];
|
||||
% This made the logo significantly more purple!
|
||||
|
||||
% (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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3
hw4/antideriv.m
Normal file
3
hw4/antideriv.m
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@ -0,0 +1,3 @@
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function int_Y_dx = antideriv(y, x)
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int_Y_dx = ( cumtrapz(y) .* (x(2) - x(1)) );
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end
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4
hw4/deriv.m
Normal file
4
hw4/deriv.m
Normal file
@ -0,0 +1,4 @@
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function dy = deriv(y, x)
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dy = diff(y) ./ (x(2) - x(1));
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dy = dy([1 1:end]);
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end
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5
hw4/extrema.m
Normal file
5
hw4/extrema.m
Normal file
@ -0,0 +1,5 @@
|
||||
function [y_ext, x_ext] = extrema(y, x)
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y_switch = switchsign( deriv(y, x) );
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||||
y_ext = nonzeros(y_switch .* y);
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x_ext = nonzeros(y_switch .* x);
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end
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231
hw4/feedback/Ryan_HW4_022124_feedback.m
Normal file
231
hw4/feedback/Ryan_HW4_022124_feedback.m
Normal file
@ -0,0 +1,231 @@
|
||||
%%%% ECE-210-B HW 4 - Functions and Objects
|
||||
% James Ryan, 02/21/24
|
||||
|
||||
% preamble
|
||||
close all; clear; clc;
|
||||
|
||||
%% My Sinc Is Broken
|
||||
% (1)
|
||||
% see deriv.m
|
||||
x = linspace(-5, 5, 1e3);
|
||||
sinc_x = sinc(x);
|
||||
deriv_sinc = deriv(sinc_x, x);
|
||||
|
||||
% see antideriv.m
|
||||
% approximates an integral of a given function using `cumtrapz`
|
||||
int_sinc = antideriv(sinc_x, x);
|
||||
|
||||
% (2)
|
||||
% see switchsign.m
|
||||
|
||||
% (3)
|
||||
[extrema_sinc_x, extrema_x] = extrema(sinc_x, x);
|
||||
[inflect_sinc_x, inflect_x] = inflections(sinc_x, x);
|
||||
|
||||
% (4)
|
||||
figure;
|
||||
plot(x, sinc_x, x, int_sinc, x, deriv_sinc, ...
|
||||
extrema_x, extrema_sinc_x, 'r*', ...
|
||||
inflect_x, inflect_sinc_x, 'bo');
|
||||
ylim([-2 2.45]);
|
||||
xlim([-5, 5]);
|
||||
ylabel("y-axis");
|
||||
xlabel("x-axis");
|
||||
grid on;
|
||||
title( {'y = sinc(x) plotted over 1000 evenly spaced pts between x \epsilon [-5,5]', ...
|
||||
'Plotted alongside its first derivative and antiderivative.'});
|
||||
legend( 'y = sinc(x)',"$\int [sinc(x)] dx$",'$\frac{d}{dx} [sinc(x)]$', ...
|
||||
'Points of Extrema', 'Inflection Points', ...
|
||||
"Interpreter","latex");
|
||||
% <+.02> this is a very pretty legend.
|
||||
|
||||
%% Objectification
|
||||
% (1)
|
||||
% Matlab Classic Noteworthy Logo (TM) (C) (Not-for-individual-sale)
|
||||
L = 160*membrane(1,100);
|
||||
|
||||
f = figure;
|
||||
ax = axes;
|
||||
|
||||
s = surface(L);
|
||||
s.EdgeColor = 'none';
|
||||
view(3)
|
||||
|
||||
ax.XLim = [1 201];
|
||||
ax.YLim = [1 201];
|
||||
ax.ZLim = [-53.4 160];
|
||||
|
||||
ax.CameraPosition = [-145.5 -229.7 283.6];
|
||||
ax.CameraTarget = [77.4 60.2 63.9];
|
||||
ax.CameraUpVector = [0 0 1];
|
||||
ax.CameraViewAngle = 36.7;
|
||||
|
||||
ax.Position = [0 0 1 1];
|
||||
ax.DataAspectRatio = [1 1 .9];
|
||||
|
||||
l1 = light;
|
||||
l1.Position = [160 400 80];
|
||||
l1.Style = 'local';
|
||||
l1.Color = [0 0.8 0.8];
|
||||
|
||||
l2 = light; % l2 = l1;
|
||||
l2.Position = [.5 -1 .4];
|
||||
l2.Color = [0.8 0.8 0];
|
||||
|
||||
s.FaceColor = [0.9 0.2 0.2];
|
||||
|
||||
s.FaceLighting = 'gouraud';
|
||||
s.AmbientStrength = 0.3;
|
||||
s.DiffuseStrength = 0.6;
|
||||
s.BackFaceLighting = 'lit';
|
||||
|
||||
s.SpecularStrength = 1;
|
||||
s.SpecularColorReflectance = 1;
|
||||
s.SpecularExponent = 7;
|
||||
|
||||
axis off
|
||||
f.Color = 'black';
|
||||
|
||||
% (2)
|
||||
% Copyobj is not cooperating. Time to be lazy!
|
||||
% Matlab FOR MS-DOS! Noteworthy Logo (TM) (C) (Not-for-individual-sale)
|
||||
disk_operating_system = 2;
|
||||
L_disk_operating_system = disk_operating_system .* L;
|
||||
|
||||
|
||||
f_dupe = figure;
|
||||
ax_dupe = axes;
|
||||
|
||||
s_dupe = surface(L_disk_operating_system);
|
||||
s_dupe.EdgeColor = 'none';
|
||||
view(3)
|
||||
|
||||
ax_dupe.XLim = disk_operating_system .* [1 201];
|
||||
ax_dupe.YLim = disk_operating_system .* [1 201];
|
||||
ax_dupe.ZLim = disk_operating_system .* [-53.4 160];
|
||||
|
||||
ax_dupe.CameraPosition = disk_operating_system .* [-145.5 -229.7 283.6];
|
||||
ax_dupe.CameraTarget = disk_operating_system .* [77.4 60.2 63.9];
|
||||
ax_dupe.CameraUpVector = [0 0 1];
|
||||
ax_dupe.CameraViewAngle = 36.7;
|
||||
|
||||
ax_dupe.Position = [0 0 1 1];
|
||||
ax_dupe.DataAspectRatio = [1 1 .9];
|
||||
|
||||
l3 = light;
|
||||
l3.Position = [160 400 80];
|
||||
l3.Style = 'local';
|
||||
l3.Color = [0 0.8 0.8];
|
||||
|
||||
l4 = light; % l2 = l1;
|
||||
l4.Position = [.5 -1 .4];
|
||||
l4.Color = [0.8 0.8 0];
|
||||
|
||||
s_dupe.FaceColor = [0.9 0.2 0.2];
|
||||
|
||||
s_dupe.FaceLighting = 'gouraud';
|
||||
s_dupe.AmbientStrength = 0.3;
|
||||
s_dupe.DiffuseStrength = 0.6;
|
||||
s_dupe.BackFaceLighting = 'lit';
|
||||
|
||||
s_dupe.SpecularStrength = 1;
|
||||
s_dupe.SpecularColorReflectance = 1;
|
||||
s_dupe.SpecularExponent = 7;
|
||||
|
||||
axis off
|
||||
f_dupe.Color = 'black';
|
||||
|
||||
% James's Changes
|
||||
% Change one - light at the origin!
|
||||
l4.Position = [0 0 0];
|
||||
l4.Color = [1 1 1];
|
||||
% This made the logo significantly more purple!
|
||||
|
||||
% Change two - colormap
|
||||
colormap winter;
|
||||
% I didnt really notice a change with this one.
|
||||
|
||||
% Change three - function
|
||||
s_dupe.FaceLighting = 'flat';
|
||||
% I changed the surface! It has different face lighting. Thats changing
|
||||
% the function, right?
|
||||
% It helped emphasize the purple-maroon which possesses the shape at the moment
|
||||
|
||||
% Change four - backround
|
||||
f_dupe.Color = 'red';
|
||||
% Hard to miss - the entire background is now red!
|
||||
|
||||
% (3)
|
||||
f_both = figure;
|
||||
|
||||
% Matlab <TM>
|
||||
ax_former = subplot(1,2,1);
|
||||
copyobj(ax.Children, ax_former);
|
||||
title('Matlab <TM>');
|
||||
|
||||
ax_former.XLim = [1 201];
|
||||
ax_former.YLim = [1 201];
|
||||
ax_former.ZLim = [-53.4 160];
|
||||
ax_former.XTick = [];
|
||||
ax_former.YTick = [];
|
||||
ax_former.ZTick = [];
|
||||
|
||||
ax_former.CameraPosition = [-145.5 -229.7 283.6];
|
||||
ax_former.CameraTarget = [77.4 60.2 63.9];
|
||||
ax_former.CameraUpVector = [0 0 1];
|
||||
ax_former.CameraViewAngle = 36.7;
|
||||
|
||||
l5 = light;
|
||||
l5.Position = [160 400 80];
|
||||
l5.Style = 'local';
|
||||
l5.Color = [0 0.8 0.8];
|
||||
|
||||
l6 = light; % l2 = l1;
|
||||
l6.Position = [.5 -1 .4];
|
||||
l6.Color = [0.8 0.8 0];
|
||||
|
||||
% James Plot Matlab for DOS
|
||||
ax_latter = subplot(1,2,2);
|
||||
copyobj(ax_dupe.Children, ax_latter);
|
||||
title('Conspicuous Copycat');
|
||||
% <+.02> MATLAB for DOS lol
|
||||
|
||||
% disk operating system, or DOS, is 2 for short :)
|
||||
|
||||
ax_latter.XLim = disk_operating_system .* [1 201];
|
||||
ax_latter.YLim = disk_operating_system .* [1 201];
|
||||
ax_latter.ZLim = disk_operating_system .* [-53.4 160];
|
||||
ax_latter.XTick = [];
|
||||
ax_latter.YTick = [];
|
||||
ax_latter.ZTick = [];
|
||||
|
||||
|
||||
ax_latter.CameraPosition = disk_operating_system .* [-145.5 -229.7 283.6];
|
||||
ax_latter.CameraTarget = disk_operating_system .* [77.4 60.2 63.9];
|
||||
ax_latter.CameraUpVector = [0 0 1];
|
||||
ax_latter.CameraViewAngle = 36.7;
|
||||
|
||||
l7 = light;
|
||||
l7.Position = [160 400 80];
|
||||
l7.Style = 'local';
|
||||
l7.Color = [0 0.8 0.8];
|
||||
|
||||
l8 = light; % l2 = l1;
|
||||
l8.Position = [.5 -1 .4];
|
||||
l8.Color = [0.8 0.8 0];
|
||||
|
||||
f_both.Color = 'green';
|
||||
|
||||
% James's Changes
|
||||
% Change one - light at the origin!
|
||||
l8.Position = [0 0 0];
|
||||
l8.Color = [1 1 1];
|
||||
% This made the logo significantly more purple!
|
||||
|
||||
% (4)
|
||||
%get(f)
|
||||
f.PaperOrientation = 'landscape';
|
||||
f.PaperType = 'a4';
|
||||
f.PaperUnits = 'centimeters';
|
||||
% My figure now is configured to print in Europe! And its sideways.
|
||||
% <+.01> lmao, incredible
|
||||
3
hw4/feedback/antideriv.m
Normal file
3
hw4/feedback/antideriv.m
Normal file
@ -0,0 +1,3 @@
|
||||
function int_Y_dx = antideriv(y, x)
|
||||
int_Y_dx = ( cumtrapz(y) .* (x(2) - x(1)) );
|
||||
end
|
||||
4
hw4/feedback/deriv.m
Normal file
4
hw4/feedback/deriv.m
Normal file
@ -0,0 +1,4 @@
|
||||
function dy = deriv(y, x)
|
||||
dy = diff(y) ./ (x(2) - x(1));
|
||||
dy = dy([1 1:end]);
|
||||
end
|
||||
5
hw4/feedback/extrema.m
Normal file
5
hw4/feedback/extrema.m
Normal file
@ -0,0 +1,5 @@
|
||||
function [y_ext, x_ext] = extrema(y, x)
|
||||
y_switch = switchsign( deriv(y, x) );
|
||||
y_ext = nonzeros(y_switch .* y);
|
||||
x_ext = nonzeros(y_switch .* x);
|
||||
end
|
||||
5
hw4/feedback/inflections.m
Normal file
5
hw4/feedback/inflections.m
Normal file
@ -0,0 +1,5 @@
|
||||
function [y_inf, x_inf] = inflections(y, x)
|
||||
y_switch = switchsign( deriv(deriv(y, x), x) );
|
||||
y_inf = nonzeros(y_switch .* y);
|
||||
x_inf = nonzeros(y_switch .* x);
|
||||
end
|
||||
17
hw4/feedback/switchsign.m
Normal file
17
hw4/feedback/switchsign.m
Normal file
@ -0,0 +1,17 @@
|
||||
% cursed
|
||||
% lmao
|
||||
% basically - I take pairs of adjacent values on the vector `x` and add them
|
||||
% together. These sums are then checked against both members of the pair,
|
||||
% and if either member is *larger* than the sum, that indicates a sign change
|
||||
% since one of the values acted as a subtractor.
|
||||
% "Glue" is added in the comparison stage, to skew ONLY on cases where
|
||||
% we are comparing zero to zero (origin case). Its really a rounding error otherwise. lol
|
||||
% The front is padded w/ a zero.
|
||||
function ret = switchsign(x)
|
||||
sum_check = x(1:end-1) + x(2:end);
|
||||
ret = [0, ( abs(sum_check) < abs(x(1:end-1)+1e-7) ) | ( abs(sum_check) < abs(x(2:end)+1e-7) ) ];
|
||||
end
|
||||
% <-.01> works here (this is insane), but technically has an
|
||||
% error: calling `switchsign([-1 2 1 0 1 -3])` (the example i
|
||||
% gave) returns `[0 1 0 1 1 1]` rather than `[0 1 0 0 0 1]`.
|
||||
% not that that really matters. sorry...
|
||||
5
hw4/inflections.m
Normal file
5
hw4/inflections.m
Normal file
@ -0,0 +1,5 @@
|
||||
function [y_inf, x_inf] = inflections(y, x)
|
||||
y_switch = switchsign( deriv(deriv(y, x), x) );
|
||||
y_inf = nonzeros(y_switch .* y);
|
||||
x_inf = nonzeros(y_switch .* x);
|
||||
end
|
||||
12
hw4/switchsign.m
Normal file
12
hw4/switchsign.m
Normal file
@ -0,0 +1,12 @@
|
||||
% cursed
|
||||
% basically - I take pairs of adjacent values on the vector `x` and add them
|
||||
% together. These sums are then checked against both members of the pair,
|
||||
% and if either member is *larger* than the sum, that indicates a sign change
|
||||
% since one of the values acted as a subtractor.
|
||||
% "Glue" is added in the comparison stage, to skew ONLY on cases where
|
||||
% we are comparing zero to zero (origin case). Its really a rounding error otherwise. lol
|
||||
% The front is padded w/ a zero.
|
||||
function ret = switchsign(x)
|
||||
sum_check = x(1:end-1) + x(2:end);
|
||||
ret = [0, ( abs(sum_check) < abs(x(1:end-1)+1e-7) ) | ( abs(sum_check) < abs(x(2:end)+1e-7) ) ];
|
||||
end
|
||||
Reference in New Issue
Block a user