📄 tablez.m
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function tablez(w,h,b,t0)
% tablez Use fzero to find dimensions of picnic table legs
%
% Synopsis: tablez(w,b,h)
% tablez(w,b,h,t0)
%
% Input: w = width of the table legs
% h = height of the table legs
% b = width of the stock used to make the legs
% t0 = (optional) initial guess at theta (in radians)
% Default: t0 = pi/4
%
% Output: Print out of table dimensions
if nargin<3
error('All three dimensions, w, h, b, must be specified');
elseif nargin<4
t0 = pi/4; % default initial guess
end
[v,d] = version;
vnum = str2num(v(1:3)); % vnum is version number in d.d format
if vnum<5.3
% "old" fzero syntax
theta = fzero('legz',t0,[],0,w,h,b); % w,h,b are passed through to legz
else
% optimset('Display','off') stops printing *and* avoids warning from parser
theta = fzero('legz',t0,optimset('Display','off'),w,h,b);
end
% --- Compute other dimensions once theta is known
alpha = pi/2 - theta; a = b/tan(alpha); c = b/tan(theta);
d2 = h/(2*sin(theta)); d1 = d2 - a - c;
fprintf('theta = %6.1f degrees d1 = %8.3f d2 = %8.3f\n',theta*180/pi,d1,d2);
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