Intersection point of yline
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Hi,
I have tried some diffrent metods, but so far without any luck. Is there a way to show the x,y coordinates of the intersection point of yline and the f1?
x=[-150:5:0, 0:5:100]
hold on
z=50
yline((z),'--r');
f1=[5E-08 -3E-05 -0.0058 1.0479 177.56]
y1=polyval(f1,x)
plot(x,y1)
grid on
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neil jerome
2020-7-14
the code below shows how to 'brute force' a numerical answer, down to a precision you can adjust, by iteratively 'zooming in' on the region. for an analytical answer, matlab probably isn't the right tool :)
good luck!
n.
%% converge by using smaller increments
thresh = 0.000000000001; % choose precision of stopping criterion for 'y1 = z'
increment = 5;
x = -150:increment:100;
f1 = [5E-08 -3E-05 -0.0058 1.0479 177.56];
z = 50;
iteration = 1;
residual = 1;
while residual > thresh
y1 = polyval(f1,x);
% find closest point in current x vector
signal = y1-z;
smallestDiff = min(abs(signal));
closestPoint = find(abs(signal) == smallestDiff);
closestCoord = [x(closestPoint) y1(closestPoint)];
residual = smallestDiff;
% plot to show progressive zooming in
figure; hold on;
yline(z, 'r--');
plot(x, y1);
plot(x(closestPoint), y1(closestPoint), 'ro');
grid on;
pause; % press any key to continue
close;
% show progress
disp([ num2str(iteration) ' ' num2str(closestCoord(1)) ', ' num2str(closestCoord(2)) ', residual: ' num2str(residual)]);
% iterate
increment = increment/10;
x = x(closestPoint - 10):increment:x(closestPoint+10);
iteration = iteration + 1;
end
format long;
disp('converged at:');
closestCoord
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