Test  Status  Code Input and Output 

1  Pass 
assert(isequal(raschig_sphericity(1,1,2),0.5724))
A =
37.6991
V =
9.4248
R =
1.3104
Asph =
21.5774
y =
0.5724

2  Pass 
assert(isequal(raschig_sphericity(8,6,7),0.3121))
A =
735.1327
V =
326.7256
R =
4.2727
Asph =
229.4068
y =
0.3121

3  Pass 
assert(isequal(raschig_sphericity(5,1,6),0.7379))
A =
439.8230
V =
549.7787
R =
5.0820
Asph =
324.5459
y =
0.7379

4  Pass 
assert(isequal(raschig_sphericity(63,42,80),0.5898))
A =
7.7421e+04
V =
9.1756e+05
R =
60.2812
Asph =
4.5664e+04
y =
0.5898

5  Pass 
assert(isequal(raschig_sphericity(49,10,68),0.7246))
A =
5.2439e+04
V =
6.9642e+05
R =
54.9870
Asph =
3.7995e+04
y =
0.7246

6  Pass 
assert(isequal(raschig_sphericity(96,48,80),0.5408))
A =
1.0294e+05
V =
1.2353e+06
R =
66.5627
Asph =
5.5676e+04
y =
0.5408

7  Pass 
assert(isequal(raschig_sphericity(60,23,75),0.6827))
A =
6.8964e+04
V =
9.6057e+05
R =
61.2088
Asph =
4.7080e+04
y =
0.6827

8  Pass 
assert(isequal(raschig_sphericity(16,77,82),0.2694))
A =
2.0980e+04
V =
3.9961e+04
R =
21.2088
Asph =
5.6525e+03
y =
0.2694

9  Pass 
assert(isequal(raschig_sphericity(17,72,80),0.3272))
A =
2.3876e+04
V =
6.4943e+04
R =
24.9353
Asph =
7.8134e+03
y =
0.3272

10  Pass 
assert(isequal(raschig_sphericity(17,62,72),0.3667))
A =
2.2733e+04
V =
7.1565e+04
R =
25.7556
Asph =
8.3359e+03
y =
0.3667

11  Pass 
assert(isequal(raschig_sphericity(27,84,91),0.2859))
A =
3.7385e+04
V =
1.0391e+05
R =
29.1644
Asph =
1.0689e+04
y =
0.2859

12  Pass 
assert(isequal(raschig_sphericity(11,20,50),0.4666))
A =
1.8033e+04
V =
7.2571e+04
R =
25.8756
Asph =
8.4138e+03
y =
0.4666

13  Pass 
assert(isequal(raschig_sphericity(88,60,71),0.3213))
A =
8.1487e+04
V =
3.9838e+05
R =
45.6460
Asph =
2.6183e+04
y =
0.3213

14  Pass 
assert(isequal(raschig_sphericity(36,88,99),0.3313))
A =
5.5223e+04
V =
2.3264e+05
R =
38.1534
Asph =
1.8293e+04
y =
0.3313

15  Pass 
assert(isequal(raschig_sphericity(45,27,68),0.6329))
A =
5.1334e+04
V =
5.5064e+05
R =
50.8464
Asph =
3.2489e+04
y =
0.6329

16  Pass 
assert(isequal(raschig_sphericity(18,86,90),0.2318))
A =
2.4328e+04
V =
3.9810e+04
R =
21.1821
Asph =
5.6383e+03
y =
0.2318

17  Pass 
assert(isequal(raschig_sphericity(17,3,35),0.6679))
A =
1.1699e+04
V =
6.4943e+04
R =
24.9353
Asph =
7.8134e+03
y =
0.6679

18  Pass 
assert(isequal(raschig_sphericity(56,82,97),0.3673))
A =
7.9853e+04
V =
4.7237e+05
R =
48.3131
Asph =
2.9332e+04
y =
0.3673

19  Pass 
assert(isequal(raschig_sphericity(3,37,68),0.2113))
A =
2.2431e+04
V =
3.0678e+04
R =
19.4198
Asph =
4.7391e+03
y =
0.2113

20  Pass 
assert(isequal(raschig_sphericity(47,5,64),0.7495))
A =
4.5955e+04
V =
6.0110e+05
R =
52.3544
Asph =
3.4444e+04
y =
0.7495

21  Pass 
assert(isequal(raschig_sphericity(58,30,61),0.6098))
A =
5.0888e+04
V =
5.1402e+05
R =
49.6933
Asph =
3.1032e+04
y =
0.6098

22  Pass 
assert(isequal(raschig_sphericity(14,30,84),0.4155))
A =
4.8707e+04
V =
2.7076e+05
R =
40.1325
Asph =
2.0240e+04
y =
0.4155

23  Pass 
assert(isequal(raschig_sphericity(4,27,100),0.1877))
A =
6.1443e+04
V =
1.1650e+05
R =
30.2981
Asph =
1.1536e+04
y =
0.1877

24  Pass 
assert(isequal(raschig_sphericity(45,16,91),0.6520))
A =
8.0676e+04
V =
1.1345e+06
R =
64.7003
Asph =
5.2604e+04
y =
0.6520

25  Pass 
assert(isequal(raschig_sphericity(4,12,35),0.3453))
A =
7.9734e+03
V =
1.3584e+04
R =
14.8018
Asph =
2.7532e+03
y =
0.3453

26  Pass 
assert(isequal(raschig_sphericity(76,89,92),0.1379))
A =
8.9843e+04
V =
1.2965e+05
R =
31.3972
Asph =
1.2388e+04
y =
0.1379

27  Pass 
assert(isequal(raschig_sphericity(68,82,100),0.3876))
A =
9.8344e+04
V =
6.9985e+05
R =
55.0771
Asph =
3.8120e+04
y =
0.3876

28  Pass 
assert(isequal(raschig_sphericity(88,39,97),0.6518))
A =
1.2476e+05
V =
2.1807e+06
R =
80.4458
Asph =
8.1324e+04
y =
0.6518

29  Pass 
assert(isequal(raschig_sphericity(44,17,43),0.6590))
A =
2.6389e+04
V =
2.1564e+05
R =
37.2003
Asph =
1.7390e+04
y =
0.6590

30  Pass 
assert(isequal(raschig_sphericity(69,93,100),0.2314))
A =
9.2162e+04
V =
2.9286e+05
R =
41.1960
Asph =
2.1327e+04
y =
0.2314

31  Pass 
assert(isequal(raschig_sphericity(60,94,97),0.1451))
A =
7.5606e+04
V =
1.0801e+05
R =
29.5431
Asph =
1.0968e+04
y =
0.1451

32  Pass 
assert(isequal(raschig_sphericity(5,30,33),0.3154))
A =
3.1667e+03
V =
2.9688e+03
R =
8.9159
Asph =
998.9381
y =
0.3154

33  Pass 
assert(isequal(raschig_sphericity(87,43,49),0.2549))
A =
5.3759e+04
V =
1.5087e+05
R =
33.0248
Asph =
1.3705e+04
y =
0.2549

34  Pass 
assert(isequal(raschig_sphericity(14,24,41),0.5087))
A =
1.2661e+04
V =
4.8600e+04
R =
22.6387
Asph =
6.4404e+03
y =
0.5087

35  Pass 
assert(isequal(raschig_sphericity(87,76,85),0.2686))
A =
9.7113e+04
V =
3.9604e+05
R =
45.5564
Asph =
2.6080e+04
y =
0.2686

36  Pass 
assert(isequal(raschig_sphericity(39,59,81),0.4706))
A =
5.3658e+04
V =
3.7737e+05
R =
44.8290
Asph =
2.5254e+04
y =
0.4706

37  Pass 
assert(isequal(raschig_sphericity(34,85,89),0.2058))
A =
4.1544e+04
V =
7.4343e+04
R =
26.0845
Asph =
8.5502e+03
y =
0.2058

38  Pass 
assert(isequal(raschig_sphericity(94,39,81),0.6148))
A =
1.0254e+05
V =
1.4884e+06
R =
70.8283
Asph =
6.3041e+04
y =
0.6148

39  Pass 
assert(isequal(raschig_sphericity(28,3,95),0.5608))
A =
7.3890e+04
V =
7.9309e+05
R =
57.4219
Asph =
4.1435e+04
y =
0.5608

40  Pass 
assert(isequal(raschig_sphericity(54,67,88),0.4456))
A =
7.3042e+04
V =
5.5220e+05
R =
50.8942
Asph =
3.2550e+04
y =
0.4456

41  Pass 
assert(isequal(raschig_sphericity(76,98,100),0.1034))
A =
9.7038e+04
V =
9.4549e+04
R =
28.2612
Asph =
1.0037e+04
y =
0.1034

42  Pass 
assert(isequal(raschig_sphericity(86,99,100),0.0633))
A =
1.0878e+05
V =
5.3765e+04
R =
23.4137
Asph =
6.8889e+03
y =
0.0633

43  Pass 
assert(isequal(raschig_sphericity(15,33,35),0.2297))
A =
7.2634e+03
V =
6.4088e+03
R =
11.5230
Asph =
1.6685e+03
y =
0.2297

44  Pass 
assert(isequal(raschig_sphericity(70,95,99),0.1649))
A =
9.0201e+04
V =
1.7065e+05
R =
34.4091
Asph =
1.4878e+04
y =
0.1649

45  Pass 
assert(isequal(raschig_sphericity(74,18,48),0.6685))
A =
4.3128e+04
V =
4.6031e+05
R =
47.8982
Asph =
2.8830e+04
y =
0.6685

46  Pass 
assert(isequal(raschig_sphericity(58,46,92),0.5909))
A =
9.0176e+04
V =
1.1567e+06
R =
65.1192
Asph =
5.3288e+04
y =
0.5909

47  Pass 
assert(isequal(raschig_sphericity(82,33,64),0.5923))
A =
6.8870e+04
V =
7.7464e+05
R =
56.9731
Asph =
4.0790e+04
y =
0.5923

48  Pass 
assert(isequal(raschig_sphericity(68,59,65),0.2461))
A =
5.7655e+04
V =
1.5894e+05
R =
33.6032
Asph =
1.4190e+04
y =
0.2461

49  Pass 
assert(isequal(raschig_sphericity(2,13,33),0.2450))
A =
6.3586e+03
V =
5.7805e+03
R =
11.1334
Asph =
1.5576e+03
y =
0.2450

50  Pass 
assert(isequal(raschig_sphericity(45,53,100),0.5528))
A =
8.8442e+04
V =
1.0166e+06
R =
62.3765
Asph =
4.8894e+04
y =
0.5528

51  Pass 
assert(isequal(raschig_sphericity(72,98,99),0.0673))
A =
9.0358e+04
V =
4.4560e+04
R =
21.9931
Asph =
6.0783e+03
y =
0.0673

52  Pass 
assert(isequal(raschig_sphericity(64,96,98),0.1097))
A =
8.0450e+04
V =
7.8012e+04
R =
26.5068
Asph =
8.8293e+03
y =
0.1097

53  Pass 
assert(isequal(raschig_sphericity(95,90,92),0.0993))
A =
1.1092e+05
V =
1.0864e+05
R =
29.6003
Asph =
1.1010e+04
y =
0.0993

54  Pass 
assert(isequal(raschig_sphericity(74,18,27),0.4265))
A =
2.3468e+04
V =
9.4154e+04
R =
28.2217
Asph =
1.0009e+04
y =
0.4265

55  Pass 
assert(isequal(raschig_sphericity(32,35,61),0.5499))
A =
3.4985e+04
V =
2.5093e+05
R =
39.1278
Asph =
1.9239e+04
y =
0.5499

56  Pass 
assert(isequal(raschig_sphericity(29,32,81),0.5534))
A =
5.5380e+04
V =
5.0445e+05
R =
49.3831
Asph =
3.0645e+04
y =
0.5534

57  Pass 
assert(isequal(raschig_sphericity(95,9,35),0.7062))
A =
3.3452e+04
V =
3.4143e+05
R =
43.3581
Asph =
2.3624e+04
y =
0.7062

58  Pass 
assert(isequal(raschig_sphericity(60,83,97),0.3518))
A =
8.3692e+04
V =
4.7501e+05
R =
48.4029
Asph =
2.9441e+04
y =
0.3518

59  Pass 
assert(isequal(raschig_sphericity(56,4,69),0.7725))
A =
5.5499e+04
V =
8.3478e+05
R =
58.4111
Asph =
4.2875e+04
y =
0.7725

60  Pass 
assert(isequal(raschig_sphericity(85,7,41),0.7745))
A =
3.5890e+04
V =
4.3580e+05
R =
47.0327
Asph =
2.7798e+04
y =
0.7745

61  Pass 
assert(isequal(raschig_sphericity(26,43,61),0.4810))
A =
2.8752e+04
V =
1.5291e+05
R =
33.1726
Asph =
1.3828e+04
y =
0.4810

62  Pass 
assert(isequal(raschig_sphericity(97,13,32),0.6015))
A =
3.2798e+04
V =
2.6055e+05
R =
39.6217
Asph =
1.9728e+04
y =
0.6015

63  Pass 
assert(isequal(raschig_sphericity(90,62,78),0.3825))
A =
9.3242e+04
V =
6.3335e+05
R =
53.2742
Asph =
3.5665e+04
y =
0.3825

64  Pass 
assert(isequal(raschig_sphericity(36,65,91),0.4733))
A =
6.0771e+04
V =
4.5872e+05
R =
47.8432
Asph =
2.8764e+04
y =
0.4733

65  Pass 
assert(isequal(raschig_sphericity(74,95,96),0.0674))
A =
9.0007e+04
V =
4.4403e+04
R =
21.9672
Asph =
6.0640e+03
y =
0.0674

66  Pass 
assert(isequal(raschig_sphericity(43,1,71),0.7321))
A =
5.1120e+04
V =
6.8085e+05
R =
54.5741
Asph =
3.7427e+04
y =
0.7321

67  Pass 
assert(isequal(raschig_sphericity(79,56,58),0.1229))
A =
5.8019e+04
V =
5.6586e+04
R =
23.8163
Asph =
7.1279e+03
y =
0.1229

68  Pass 
assert(isequal(raschig_sphericity(1,98,99),0.1419))
A =
2.4756e+03
V =
618.8938
R =
5.2866
Asph =
351.2057
y =
0.1419

69  Pass 
assert(isequal(raschig_sphericity(83,36,66),0.5745))
A =
7.2420e+04
V =
7.9790e+05
R =
57.5378
Asph =
4.1602e+04
y =
0.5745

70  Pass 
assert(isequal(raschig_sphericity(12,78,88),0.3322))
A =
2.2946e+04
V =
6.2581e+04
R =
24.6292
Asph =
7.6227e+03
y =
0.3322

71  Pass 
assert(isequal(raschig_sphericity(30,36,67),0.5501))
A =
3.9477e+04
V =
3.0093e+05
R =
41.5713
Asph =
2.1717e+04
y =
0.5501

72  Pass 
assert(isequal(raschig_sphericity(44,70,91),0.4429))
A =
6.5754e+04
V =
4.6736e+05
R =
48.1415
Asph =
2.9124e+04
y =
0.4429

73  Pass 
assert(isequal(raschig_sphericity(1,8,51),0.1183))
A =
1.6311e+04
V =
7.9702e+03
R =
12.3916
Asph =
1.9296e+03
y =
0.1183

74  Pass 
assert(isequal(raschig_sphericity(78,81,93),0.3144))
A =
9.8395e+04
V =
5.1165e+05
R =
49.6168
Asph =
3.0936e+04
y =
0.3144

75  Pass 
assert(isequal(raschig_sphericity(37,88,92),0.1995))
A =
4.6370e+04
V =
8.3692e+04
R =
27.1351
Asph =
9.2528e+03
y =
0.1995

76  Pass 
assert(isequal(raschig_sphericity(7,72,94),0.2976))
A =
3.0247e+04
V =
8.0312e+04
R =
26.7648
Asph =
9.0019e+03
y =
0.2976

77  Pass 
assert(isequal(raschig_sphericity(90,76,99),0.4243))
A =
1.2425e+05
V =
1.1380e+06
R =
64.7674
Asph =
5.2714e+04
y =
0.4243

78  Pass 
assert(isequal(raschig_sphericity(54,96,100),0.1764))
A =
7.1427e+04
V =
1.3300e+05
R =
31.6658
Asph =
1.2601e+04
y =
0.1764

79  Pass 
assert(isequal(raschig_sphericity(53,84,99),0.3670))
A =
7.8188e+04
V =
4.5705e+05
R =
47.7852
Asph =
2.8694e+04
y =
0.3670

80  Pass 
assert(isequal(raschig_sphericity(94,46,87),0.5889))
A =
1.1281e+05
V =
1.6103e+06
R =
72.7124
Asph =
6.6439e+04
y =
0.5889

81  Pass 
assert(isequal(raschig_sphericity(94,81,99),0.3707))
A =
1.2667e+05
V =
9.5680e+05
R =
61.1286
Asph =
4.6957e+04
y =
0.3707

82  Pass 
assert(isequal(raschig_sphericity(45,83,100),0.3923))
A =
7.1289e+04
V =
4.3981e+05
R =
47.1764
Asph =
2.7968e+04
y =
0.3923

83  Pass 
assert(isequal(raschig_sphericity(37,17,86),0.6207))
A =
6.8600e+04
V =
8.2611e+05
R =
58.2081
Asph =
4.2577e+04
y =
0.6207

84  Pass 
assert(isequal(raschig_sphericity(59,96,98),0.1125))
A =
7.4355e+04
V =
7.1917e+04
R =
25.7977
Asph =
8.3632e+03
y =
0.1125

85  Pass 
assert(isequal(raschig_sphericity(26,68,98),0.4545))
A =
5.8408e+04
V =
4.0677e+05
R =
45.9644
Asph =
2.6549e+04
y =
0.4545

86  Pass 
assert(isequal(raschig_sphericity(62,32,66),0.6133))
A =
5.9112e+04
V =
6.4900e+05
R =
53.7097
Asph =
3.6251e+04
y =
0.6133

87  Pass 
assert(isequal(raschig_sphericity(41,9,63),0.7096))
A =
4.2977e+04
V =
5.0080e+05
R =
49.2633
Asph =
3.0497e+04
y =
0.7096

88  Pass 
assert(isequal(raschig_sphericity(88,55,69),0.3730))
A =
7.9470e+04
V =
4.7993e+05
R =
48.5696
Asph =
2.9644e+04
y =
0.3730

89  Pass 
assert(isequal(raschig_sphericity(90,79,96),0.3663))
A =
1.1765e+05
V =
8.4116e+05
R =
58.5594
Asph =
4.3093e+04
y =
0.3663

90  Pass 
assert(isequal(raschig_sphericity(60,56,70),0.3962))
A =
5.8584e+04
V =
3.3251e+05
R =
42.9771
Asph =
2.3210e+04
y =
0.3962

91  Pass 
assert(isequal(raschig_sphericity(55,99,100),0.0730))
A =
7.0020e+04
V =
3.4385e+04
R =
20.1725
Asph =
5.1136e+03
y =
0.0730

92  Pass 
assert(isequal(raschig_sphericity(69,48,87),0.5765))
A =
9.1609e+04
V =
1.1413e+06
R =
64.8290
Asph =
5.2814e+04
y =
0.5765

93  Pass 
assert(isequal(raschig_sphericity(22,25,33),0.4465))
A =
1.0933e+04
V =
3.2069e+04
R =
19.7091
Asph =
4.8814e+03
y =
0.4465

94  Pass 
assert(isequal(raschig_sphericity(71,85,97),0.3154))
A =
9.4914e+04
V =
4.8715e+05
R =
48.8117
Asph =
2.9940e+04
y =
0.3154

95  Pass 
assert(isequal(raschig_sphericity(75,11,58),0.7642))
A =
5.2892e+04
V =
7.6411e+05
R =
56.7139
Asph =
4.0419e+04
y =
0.7642

96  Pass 
assert(isequal(raschig_sphericity(85,84,91),0.2270))
A =
1.0116e+05
V =
3.2712e+05
R =
42.7437
Asph =
2.2959e+04
y =
0.2270

97  Pass 
assert(isequal(raschig_sphericity(28,13,74),0.5982))
A =
4.8651e+04
V =
4.6683e+05
R =
48.1234
Asph =
2.9102e+04
y =
0.5982

98  Pass 
assert(isequal(raschig_sphericity(56,1,43),0.8440))
A =
2.7093e+04
V =
3.2512e+05
R =
42.6564
Asph =
2.2865e+04
y =
0.8440

99  Pass 
assert(isequal(raschig_sphericity(44,78,97),0.4158))
A =
6.9272e+04
V =
4.5962e+05
R =
47.8742
Asph =
2.8801e+04
y =
0.4158

100  Pass 
assert(isequal(raschig_sphericity(59,15,66),0.7230))
A =
5.5983e+04
V =
7.6570e+05
R =
56.7531
Asph =
4.0475e+04
y =
0.7230

101  Pass 
assert(isequal(raschig_sphericity(73,43,56),0.4007))
A =
5.3495e+04
V =
2.9516e+05
R =
41.3036
Asph =
2.1438e+04
y =
0.4007

102  Pass 
assert(isequal(raschig_sphericity(27,99,100),0.0909))
A =
3.5010e+04
V =
1.6880e+04
R =
15.9133
Asph =
3.1822e+03
y =
0.0909

103  Pass 
assert(isequal(raschig_sphericity(83,60,93),0.5209))
A =
1.1151e+05
V =
1.3165e+06
R =
67.9905
Asph =
5.8091e+04
y =
0.5209

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Find the index of the largest value in any vector X=[4,3,4,5,9,12,0,4.....5]
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