Cody

# Problem 970. Piecewise linear interpolation

Solution 2800927

Submitted on 6 Aug 2020
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### Test Suite

Test Status Code Input and Output
1   Fail
x=[1 1 ; 3 0 ; 1 1]; y=[5 3]; y_correct=[1 1 ; 1.5 0.75 ; 2 0.5 ; 2.5 0.25 ; 3 0 ; 2 0.5 ; 1 1]; assert(all(all(abs(tracers(x,y)-y_correct)<1e-9)))

out = [] flag = logical 1 num_points = 5 first = 1.0000 1.5000 2.0000 2.5000 3.0000 second = 5.0000 4.5000 4.0000 3.5000 3.0000 out = 1.0000 1.5000 2.0000 2.5000 3.0000 5.0000 4.5000 4.0000 3.5000 3.0000 flag = logical 0 num_points = 3 first = 3 2 1

Index exceeds the number of array elements (2). Error in tracers (line 14) second = linspace(y(i), y(i+1),num_points) Error in Test1 (line 4) assert(all(all(abs(tracers(x,y)-y_correct)<1e-9)))

2   Fail
x=[1 1 ; 2 3 ; 4 2 ; 5 -2]; y=[6 5 3]; y_correct=[1 1 ; 1.2 1.4 ; 1.4 1.8 ; 1.6 2.2 ; 1.8 2.6 ; 2 3 ; 2.5 2.75 ; 3 2.5 ; 3.5 2.25 ; 4 2 ; 4.5 0 ; 5 -2]; assert(all(all(abs(tracers(x,y)-y_correct)<1e-9)))

out = [] flag = logical 1 num_points = 6 first = 1.0000 1.2000 1.4000 1.6000 1.8000 2.0000 second = 6.0000 5.8000 5.6000 5.4000 5.2000 5.0000 out = 1.0000 1.2000 1.4000 1.6000 1.8000 2.0000 6.0000 5.8000 5.6000 5.4000 5.2000 5.0000 flag = logical 0 num_points = 5 first = 2.0000 2.5000 3.0000 3.5000 4.0000 second = 5.0000 4.5000 4.0000 3.5000 3.0000

Error using vertcat Dimensions of arrays being concatenated are not consistent. Error in tracers (line 19) out = [out; first(2:num_points) second(2:num_points)] Error in Test2 (line 4) assert(all(all(abs(tracers(x,y)-y_correct)<1e-9)))

3   Fail
a=ceil(100*rand)+10; x=[0 0 ; a a]; y=a+1; y_correct=[0:a ; 0:a]'; assert(all(all(abs(tracers(x,y)-y_correct)<1e-9)))

out = [] flag = logical 1 num_points = 84 first = Columns 1 through 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Columns 31 through 60 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 Columns 61 through 84 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83

Index exceeds the number of array elements (1). Error in tracers (line 14) second = linspace(y(i), y(i+1),num_points) Error in Test3 (line 5) assert(all(all(abs(tracers(x,y)-y_correct)<1e-9)))