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my code looks as follows but i don't understand why the values of x and z won't display on the command window. The values are supposed to plot a semicircle.
startUpHeight = 299.07;
startUpValue = 100;
radius = 15;
minConstraintX = 150;
maxConstraintX = 50;
minConstraintZ = 10;
maxConstraintZ = 300;
for x = (startUpValue - radius):0.25:(startUpValue + radius)
if ((maxConstraintX >= x) && (x >= minConstraintX))
z = -1*((sqrt(radius^2)-((x-(3*radius))^2)) - startUpHeight);
if ((maxConstraintZ >= z) && (z >= minConstraintZ))
disp(['x: ', num2str(x), ', z: ', num2str(z)]);
end
end
end

Accepted Answer

Athanasios Paraskevopoulos
startUpHeight = 299.07;
startUpValue = 100;
radius = 15;
minConstraintX = 50; % Swapped values
maxConstraintX = 150; % Swapped values
minConstraintZ = 10;
maxConstraintZ = 300;
for x = (startUpValue - radius) : 0.25 : (startUpValue + radius)
if ((maxConstraintX >= x) && (x >= minConstraintX))
z = startUpHeight - sqrt(radius^2 - ((x - startUpValue)^2)); % Corrected formula for z
if ((maxConstraintZ >= z) && (z >= minConstraintZ))
disp(['x: ', num2str(x), ', z: ', num2str(z)]);
end
end
end
x: 85, z: 299.07 x: 85.25, z: 296.3428 x: 85.5, z: 295.2294 x: 85.75, z: 294.3863 x: 86, z: 293.6848 x: 86.25, z: 293.0752 x: 86.5, z: 292.5317 x: 86.75, z: 292.0388 x: 87, z: 291.5867 x: 87.25, z: 291.1683 x: 87.5, z: 290.7784 x: 87.75, z: 290.4134 x: 88, z: 290.07 x: 88.25, z: 289.746 x: 88.5, z: 289.4393 x: 88.75, z: 289.1484 x: 89, z: 288.872 x: 89.25, z: 288.6088 x: 89.5, z: 288.3579 x: 89.75, z: 288.1184 x: 90, z: 287.8897 x: 90.25, z: 287.671 x: 90.5, z: 287.4618 x: 90.75, z: 287.2616 x: 91, z: 287.07 x: 91.25, z: 286.8865 x: 91.5, z: 286.7108 x: 91.75, z: 286.5425 x: 92, z: 286.3814 x: 92.25, z: 286.2272 x: 92.5, z: 286.0796 x: 92.75, z: 285.9385 x: 93, z: 285.8035 x: 93.25, z: 285.6746 x: 93.5, z: 285.5515 x: 93.75, z: 285.4341 x: 94, z: 285.3223 x: 94.25, z: 285.2158 x: 94.5, z: 285.1147 x: 94.75, z: 285.0188 x: 95, z: 284.9279 x: 95.25, z: 284.8419 x: 95.5, z: 284.7609 x: 95.75, z: 284.6847 x: 96, z: 284.6132 x: 96.25, z: 284.5463 x: 96.5, z: 284.484 x: 96.75, z: 284.4263 x: 97, z: 284.3731 x: 97.25, z: 284.3242 x: 97.5, z: 284.2798 x: 97.75, z: 284.2397 x: 98, z: 284.2039 x: 98.25, z: 284.1724 x: 98.5, z: 284.1452 x: 98.75, z: 284.1222 x: 99, z: 284.1034 x: 99.25, z: 284.0888 x: 99.5, z: 284.0783 x: 99.75, z: 284.0721 x: 100, z: 284.07 x: 100.25, z: 284.0721 x: 100.5, z: 284.0783 x: 100.75, z: 284.0888 x: 101, z: 284.1034 x: 101.25, z: 284.1222 x: 101.5, z: 284.1452 x: 101.75, z: 284.1724 x: 102, z: 284.2039 x: 102.25, z: 284.2397 x: 102.5, z: 284.2798 x: 102.75, z: 284.3242 x: 103, z: 284.3731 x: 103.25, z: 284.4263 x: 103.5, z: 284.484 x: 103.75, z: 284.5463 x: 104, z: 284.6132 x: 104.25, z: 284.6847 x: 104.5, z: 284.7609 x: 104.75, z: 284.8419 x: 105, z: 284.9279 x: 105.25, z: 285.0188 x: 105.5, z: 285.1147 x: 105.75, z: 285.2158 x: 106, z: 285.3223 x: 106.25, z: 285.4341 x: 106.5, z: 285.5515 x: 106.75, z: 285.6746 x: 107, z: 285.8035 x: 107.25, z: 285.9385 x: 107.5, z: 286.0796 x: 107.75, z: 286.2272 x: 108, z: 286.3814 x: 108.25, z: 286.5425 x: 108.5, z: 286.7108 x: 108.75, z: 286.8865 x: 109, z: 287.07 x: 109.25, z: 287.2616 x: 109.5, z: 287.4618 x: 109.75, z: 287.671 x: 110, z: 287.8897 x: 110.25, z: 288.1184 x: 110.5, z: 288.3579 x: 110.75, z: 288.6088 x: 111, z: 288.872 x: 111.25, z: 289.1484 x: 111.5, z: 289.4393 x: 111.75, z: 289.746 x: 112, z: 290.07 x: 112.25, z: 290.4134 x: 112.5, z: 290.7784 x: 112.75, z: 291.1683 x: 113, z: 291.5867 x: 113.25, z: 292.0388 x: 113.5, z: 292.5317 x: 113.75, z: 293.0752 x: 114, z: 293.6848 x: 114.25, z: 294.3863 x: 114.5, z: 295.2294 x: 114.75, z: 296.3428 x: 115, z: 299.07

More Answers (1)

Image Analyst
Image Analyst on 15 May 2024
You swapped the min and max x constraints. Even when I fix those, the z constraint is not met. I threw in some debug messages so you can see what's going on:
startUpHeight = 299.07;
startUpValue = 100;
radius = 15;
minConstraintX = 50;
maxConstraintX = 150;
minConstraintZ = 10;
maxConstraintZ = 300;
z = 0;
for x = (startUpValue - radius):0.25:(startUpValue + radius)
if ((maxConstraintX >= x) && (x >= minConstraintX))
z = -1*((sqrt(radius^2)-((x-(3*radius))^2)) - startUpHeight);
if ((maxConstraintZ >= z) && (z >= minConstraintZ))
% Constraints met
fprintf('Both X and Z Constraints ARE met. x: %f, z: %f\n', x, z);
else
% Z Constraints not met:
fprintf('Z Constraint IS NOT met. x: %f, z: %f\n', x, z);
end
else
% X Constraints not met:
fprintf('X Constraint IS NOT met. x: %f, z: %f\n', x, z);
end
end
Z Constraint IS NOT met. x: 85.000000, z: 1884.070000 Z Constraint IS NOT met. x: 85.250000, z: 1904.132500 Z Constraint IS NOT met. x: 85.500000, z: 1924.320000 Z Constraint IS NOT met. x: 85.750000, z: 1944.632500 Z Constraint IS NOT met. x: 86.000000, z: 1965.070000 Z Constraint IS NOT met. x: 86.250000, z: 1985.632500 Z Constraint IS NOT met. x: 86.500000, z: 2006.320000 Z Constraint IS NOT met. x: 86.750000, z: 2027.132500 Z Constraint IS NOT met. x: 87.000000, z: 2048.070000 Z Constraint IS NOT met. x: 87.250000, z: 2069.132500 Z Constraint IS NOT met. x: 87.500000, z: 2090.320000 Z Constraint IS NOT met. x: 87.750000, z: 2111.632500 Z Constraint IS NOT met. x: 88.000000, z: 2133.070000 Z Constraint IS NOT met. x: 88.250000, z: 2154.632500 Z Constraint IS NOT met. x: 88.500000, z: 2176.320000 Z Constraint IS NOT met. x: 88.750000, z: 2198.132500 Z Constraint IS NOT met. x: 89.000000, z: 2220.070000 Z Constraint IS NOT met. x: 89.250000, z: 2242.132500 Z Constraint IS NOT met. x: 89.500000, z: 2264.320000 Z Constraint IS NOT met. x: 89.750000, z: 2286.632500 Z Constraint IS NOT met. x: 90.000000, z: 2309.070000 Z Constraint IS NOT met. x: 90.250000, z: 2331.632500 Z Constraint IS NOT met. x: 90.500000, z: 2354.320000 Z Constraint IS NOT met. x: 90.750000, z: 2377.132500 Z Constraint IS NOT met. x: 91.000000, z: 2400.070000 Z Constraint IS NOT met. x: 91.250000, z: 2423.132500 Z Constraint IS NOT met. x: 91.500000, z: 2446.320000 Z Constraint IS NOT met. x: 91.750000, z: 2469.632500 Z Constraint IS NOT met. x: 92.000000, z: 2493.070000 Z Constraint IS NOT met. x: 92.250000, z: 2516.632500 Z Constraint IS NOT met. x: 92.500000, z: 2540.320000 Z Constraint IS NOT met. x: 92.750000, z: 2564.132500 Z Constraint IS NOT met. x: 93.000000, z: 2588.070000 Z Constraint IS NOT met. x: 93.250000, z: 2612.132500 Z Constraint IS NOT met. x: 93.500000, z: 2636.320000 Z Constraint IS NOT met. x: 93.750000, z: 2660.632500 Z Constraint IS NOT met. x: 94.000000, z: 2685.070000 Z Constraint IS NOT met. x: 94.250000, z: 2709.632500 Z Constraint IS NOT met. x: 94.500000, z: 2734.320000 Z Constraint IS NOT met. x: 94.750000, z: 2759.132500 Z Constraint IS NOT met. x: 95.000000, z: 2784.070000 Z Constraint IS NOT met. x: 95.250000, z: 2809.132500 Z Constraint IS NOT met. x: 95.500000, z: 2834.320000 Z Constraint IS NOT met. x: 95.750000, z: 2859.632500 Z Constraint IS NOT met. x: 96.000000, z: 2885.070000 Z Constraint IS NOT met. x: 96.250000, z: 2910.632500 Z Constraint IS NOT met. x: 96.500000, z: 2936.320000 Z Constraint IS NOT met. x: 96.750000, z: 2962.132500 Z Constraint IS NOT met. x: 97.000000, z: 2988.070000 Z Constraint IS NOT met. x: 97.250000, z: 3014.132500 Z Constraint IS NOT met. x: 97.500000, z: 3040.320000 Z Constraint IS NOT met. x: 97.750000, z: 3066.632500 Z Constraint IS NOT met. x: 98.000000, z: 3093.070000 Z Constraint IS NOT met. x: 98.250000, z: 3119.632500 Z Constraint IS NOT met. x: 98.500000, z: 3146.320000 Z Constraint IS NOT met. x: 98.750000, z: 3173.132500 Z Constraint IS NOT met. x: 99.000000, z: 3200.070000 Z Constraint IS NOT met. x: 99.250000, z: 3227.132500 Z Constraint IS NOT met. x: 99.500000, z: 3254.320000 Z Constraint IS NOT met. x: 99.750000, z: 3281.632500 Z Constraint IS NOT met. x: 100.000000, z: 3309.070000 Z Constraint IS NOT met. x: 100.250000, z: 3336.632500 Z Constraint IS NOT met. x: 100.500000, z: 3364.320000 Z Constraint IS NOT met. x: 100.750000, z: 3392.132500 Z Constraint IS NOT met. x: 101.000000, z: 3420.070000 Z Constraint IS NOT met. x: 101.250000, z: 3448.132500 Z Constraint IS NOT met. x: 101.500000, z: 3476.320000 Z Constraint IS NOT met. x: 101.750000, z: 3504.632500 Z Constraint IS NOT met. x: 102.000000, z: 3533.070000 Z Constraint IS NOT met. x: 102.250000, z: 3561.632500 Z Constraint IS NOT met. x: 102.500000, z: 3590.320000 Z Constraint IS NOT met. x: 102.750000, z: 3619.132500 Z Constraint IS NOT met. x: 103.000000, z: 3648.070000 Z Constraint IS NOT met. x: 103.250000, z: 3677.132500 Z Constraint IS NOT met. x: 103.500000, z: 3706.320000 Z Constraint IS NOT met. x: 103.750000, z: 3735.632500 Z Constraint IS NOT met. x: 104.000000, z: 3765.070000 Z Constraint IS NOT met. x: 104.250000, z: 3794.632500 Z Constraint IS NOT met. x: 104.500000, z: 3824.320000 Z Constraint IS NOT met. x: 104.750000, z: 3854.132500 Z Constraint IS NOT met. x: 105.000000, z: 3884.070000 Z Constraint IS NOT met. x: 105.250000, z: 3914.132500 Z Constraint IS NOT met. x: 105.500000, z: 3944.320000 Z Constraint IS NOT met. x: 105.750000, z: 3974.632500 Z Constraint IS NOT met. x: 106.000000, z: 4005.070000 Z Constraint IS NOT met. x: 106.250000, z: 4035.632500 Z Constraint IS NOT met. x: 106.500000, z: 4066.320000 Z Constraint IS NOT met. x: 106.750000, z: 4097.132500 Z Constraint IS NOT met. x: 107.000000, z: 4128.070000 Z Constraint IS NOT met. x: 107.250000, z: 4159.132500 Z Constraint IS NOT met. x: 107.500000, z: 4190.320000 Z Constraint IS NOT met. x: 107.750000, z: 4221.632500 Z Constraint IS NOT met. x: 108.000000, z: 4253.070000 Z Constraint IS NOT met. x: 108.250000, z: 4284.632500 Z Constraint IS NOT met. x: 108.500000, z: 4316.320000 Z Constraint IS NOT met. x: 108.750000, z: 4348.132500 Z Constraint IS NOT met. x: 109.000000, z: 4380.070000 Z Constraint IS NOT met. x: 109.250000, z: 4412.132500 Z Constraint IS NOT met. x: 109.500000, z: 4444.320000 Z Constraint IS NOT met. x: 109.750000, z: 4476.632500 Z Constraint IS NOT met. x: 110.000000, z: 4509.070000 Z Constraint IS NOT met. x: 110.250000, z: 4541.632500 Z Constraint IS NOT met. x: 110.500000, z: 4574.320000 Z Constraint IS NOT met. x: 110.750000, z: 4607.132500 Z Constraint IS NOT met. x: 111.000000, z: 4640.070000 Z Constraint IS NOT met. x: 111.250000, z: 4673.132500 Z Constraint IS NOT met. x: 111.500000, z: 4706.320000 Z Constraint IS NOT met. x: 111.750000, z: 4739.632500 Z Constraint IS NOT met. x: 112.000000, z: 4773.070000 Z Constraint IS NOT met. x: 112.250000, z: 4806.632500 Z Constraint IS NOT met. x: 112.500000, z: 4840.320000 Z Constraint IS NOT met. x: 112.750000, z: 4874.132500 Z Constraint IS NOT met. x: 113.000000, z: 4908.070000 Z Constraint IS NOT met. x: 113.250000, z: 4942.132500 Z Constraint IS NOT met. x: 113.500000, z: 4976.320000 Z Constraint IS NOT met. x: 113.750000, z: 5010.632500 Z Constraint IS NOT met. x: 114.000000, z: 5045.070000 Z Constraint IS NOT met. x: 114.250000, z: 5079.632500 Z Constraint IS NOT met. x: 114.500000, z: 5114.320000 Z Constraint IS NOT met. x: 114.750000, z: 5149.132500 Z Constraint IS NOT met. x: 115.000000, z: 5184.070000

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