MATLAB: How to mirror a function vertically

Question

I have a function with non equal step size in the x axis. How can I mirror it vertically?

Here is my code:

close all; clear all; clc;

depth=[ 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.6 1.8 2 2.2 2.4 2.6 2.7 2.8 2.9 3 3.2 3.3 3.4 3.5 3.6 3.7 3.8 4 4.2 4.4 4.6 4.8 4.9 5 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6 6.2 6.3 6.4 6.5 6.6 6.8 6.9 7 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 8 8.2 8.4 8.6 8.8 9 9.2 9.4 9.6 9.8 10 10.2 10.4 10.6 10.8 11 11.2 11.4 11.6 11.8 12 12.2 12.4 12.6 12.8 13 13.2 13.4 13.6 13.8 14 14.2 14.4 14.6 14.8 15 15.2 15.4 15.6 15.8 16 16.2 16.4 16.6 16.8 17 17.2 17.4 17.6 17.8 18 18.2 18.4 18.6 18.8 19 19.2 19.4 19.6 19.8 20 20.2 20.4 20.6 20.8 21 21.2 21.4 21.6 21.8 22 22.2 22.4 22.6 22.8 23 23.2 23.4 23.6 23.8 24 24.2 24.4 24.6 24.8 25 25.2 25.4 25.6 25.8 26 26.2 26.4 26.6 26.8 27 27.2 27.4 27.6 27.8 28 28.2 28.4 28.6 28.8 29 29.2 29.4 29.6 29.8 30]; rel_dose=[ 61.8 63.2 66 73.8 81.3 86.4 90.5 93.9 96 97.4 98.6 99.2 99.9 99.8 100.7 100 99.2 98.9 98 97.2 96.3 96.1 95.7 95.2 94.7 94.1 93.8 92.8 92.4 92.2 91.7 91.1 90.2 89.6 88.9 88.1 87.2 87.1 86 85.3 85 84.4 84 83.8 83.4 83 82.5 82.1 81.3 81.1 80.3 80.4 79.7 78.7 78.7 77.9 78 77.3 77.2 76.4 76.3 75.6 75.2 74.8 74.1 73.2 72.4 71.9 71.1 70.4 69.7 68.9 68 67.4 66.6 65.9 65.3 64.6 64 63.1 62.4 61.9 61.3 60.5 59.6 59.2 58.5 58 57.4 56.7 56.1 55.5 54.7 54.1 53.8 53 52.4 51.6 51.2 50.8 50.1 49.5 49 48.3 47.8 47.6 46.8 46.3 45.8 45.5 45.1 44.4 43.8 43.5 42.9 42.5 42 41.4 41 40.4 40.3 39.8 39.3 38.9 38.4 38 37.5 37.1 36.6 36.3 35.9 35.4 35.1 34.9 34.4 34.1 33.8 33.4 33 32.6 32.2 31.9 31.5 31.1 30.8 30.4 30.1 29.7 29.5 29.2 28.8 28.4 28.2 27.9 27.5 27.2 26.9 26.6 26.4 25.9 25.9 25.5 25.3 25.1 24.7 24.5 24.2 23.9 23.7 23.3 23.1 22.9 22.7 22.4 22.2];

Seperatio_pt = find(depth==10); depth=depth(1:Seperatio_pt);

rel_dose_1=rel_dose(1:Seperatio_pt); rel_dose_2=rel_dose_1(length(rel_dose_1):-1:1)

figure; plot(depth,rel_dose_1, 'r', 'linewidth', 3);

xlabel('Depth (cm)'); ylabel('Relative Dose (%)'); title('(Normalized Relative Dose as a Function of Depth for a 6 MV POP; FS=10×10 cm2; separation=10 cm'); hold on

plot(depth,rel_dose_2, 'b', 'linewidth', 3);

Answer 1

close all; clear all; clc;

depth=[ 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.6 1.8 2 2.2 2.4 2.6 2.7 2.8 2.9 3 3.2 3.3 3.4 3.5 3.6 3.7 3.8 4 4.2 4.4 4.6 4.8 4.9 5 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6 6.2 6.3 6.4 6.5 6.6 6.8 6.9 7 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 8 8.2 8.4 8.6 8.8 9 9.2 9.4 9.6 9.8 10 10.2 10.4 10.6 10.8 11 11.2 11.4 11.6 11.8 12 12.2 12.4 12.6 12.8 13 13.2 13.4 13.6 13.8 14 14.2 14.4 14.6 14.8 15 15.2 15.4 15.6 15.8 16 16.2 16.4 16.6 16.8 17 17.2 17.4 17.6 17.8 18 18.2 18.4 18.6 18.8 19 19.2 19.4 19.6 19.8 20 20.2 20.4 20.6 20.8 21 21.2 21.4 21.6 21.8 22 22.2 22.4 22.6 22.8 23 23.2 23.4 23.6 23.8 24 24.2 24.4 24.6 24.8 25 25.2 25.4 25.6 25.8 26 26.2 26.4 26.6 26.8 27 27.2 27.4 27.6 27.8 28 28.2 28.4 28.6 28.8 29 29.2 29.4 29.6 29.8 30]; rel_dose=[ 61.8 63.2 66 73.8 81.3 86.4 90.5 93.9 96 97.4 98.6 99.2 99.9 99.8 100.7 100 99.2 98.9 98 97.2 96.3 96.1 95.7 95.2 94.7 94.1 93.8 92.8 92.4 92.2 91.7 91.1 90.2 89.6 88.9 88.1 87.2 87.1 86 85.3 85 84.4 84 83.8 83.4 83 82.5 82.1 81.3 81.1 80.3 80.4 79.7 78.7 78.7 77.9 78 77.3 77.2 76.4 76.3 75.6 75.2 74.8 74.1 73.2 72.4 71.9 71.1 70.4 69.7 68.9 68 67.4 66.6 65.9 65.3 64.6 64 63.1 62.4 61.9 61.3 60.5 59.6 59.2 58.5 58 57.4 56.7 56.1 55.5 54.7 54.1 53.8 53 52.4 51.6 51.2 50.8 50.1 49.5 49 48.3 47.8 47.6 46.8 46.3 45.8 45.5 45.1 44.4 43.8 43.5 42.9 42.5 42 41.4 41 40.4 40.3 39.8 39.3 38.9 38.4 38 37.5 37.1 36.6 36.3 35.9 35.4 35.1 34.9 34.4 34.1 33.8 33.4 33 32.6 32.2 31.9 31.5 31.1 30.8 30.4 30.1 29.7 29.5 29.2 28.8 28.4 28.2 27.9 27.5 27.2 26.9 26.6 26.4 25.9 25.9 25.5 25.3 25.1 24.7 24.5 24.2 23.9 23.7 23.3 23.1 22.9 22.7 22.4 22.2];

Seperation_pt = find(depth==10); depth_1=depth(1:Seperation_pt); depth_2=zeros(1,length(depth_1)); depth_2(1)=depth_1(length(depth_1));

for i = 2:length(depth_1) increment=depth_1(i)-depth_1(i-1); depth_2(i)=depth_2(i-1)-increment; end

rel_dose_1=rel_dose(1:Seperation_pt);

figure; plot(depth_1,rel_dose_1, 'r', 'linewidth', 3);

xlabel('Depth (cm)'); ylabel('Relative Dose (%)'); title('(Normalized Relative Dose as a Function of Depth for a 6 MV POP; FS=10x10 cm2; separation=10 cm'); hold on

plot(depth_2,rel_dose_1, 'b', 'linewidth', 3);