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Computer System Design
Project-2
Lakshmi Yasaswi Kamireddy
(651771619)
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RV1
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RV2
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RV1
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RV2
C17,Minset size -
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c432
c499
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RV1
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RV2
28.57142857
28.57142857
42.85714286
57.14285
42.85714
21.42857143
35.71428571
42.85714286
0 50 100
c880
X-axis –Output density of 1’s ;Y-axis-Input Instance (%);Minset is the Minimum set from Atalanta;RV1-Randam Test
Vector set with size same as Minset;RV2- Random Test Vector set with size double of Minset
Part(a)
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30 9.375
15.625
21.875
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31.25
37.5
40.625
43.75
46.875
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53.125
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59.375
62.5
65.625
68.75
71.875
Minset-Size-85
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RV1
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28 32 36 40 44 48 52 56 60 64 68 76
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RV1
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RV2
c1355
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c2670
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RV1c3540
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RV1
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37.96…
40.74…
44.44…
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53.70…
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57.40…
59.25…
61.11…
62.96…
65.74…
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69.44…
72.22…
74.07…
78.70…
81.48…
Minset-Size-213
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41.66666667
44.44444444
46.2962963
48.14814815
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51.85185185
53.7037037
55.55555556
57.40740741
59.25925926
61.11111111
62.96296296
64.81481481
66.66666667
69.44444444
RV1
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39.81481481
41.66666667
43.51851852
45.37037037
47.22222222
49.07407407
50.92592593
52.77777778
54.62962963
56.48148148
58.33333333
60.18518519
62.03703704
63.88888889
65.74074074
69.44444444
72.22222222
RV2
c5315
c6288
c7552
57.14285714
57.14285714
85.71428571
57.14285714
57.14285714
64.285714291 2
minset1 RV1 RV2
77.55102041
59.18367347
57.14285714
85.71428571
53.06122449
48.97959184
42.85714286
100
73.46938776
59.18367347
61.2244898
48.97959184
32.65306122
46.93877551
89.79591837
85.71428571
64.28571429
55.10204082
50
32.65306122
42.85714286
1 2 3 4 5 6 7
minset1 RV11 RV21
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minset1 RV11 RV12
c17 c432
c499
X-axis –Outputs;Y-axis- density of 1’s (%);Minset is the Minimum set from Atalanta(Size same as
mentioned in part a);RV1-Randam Test Vector set with size same as Minset;RV2- Random Test Vector
set with size double of Minset
Part-b
52.94117647
43.52941176
48.23529412
42.35294118
43.52941176
49.41176471
57.64705882
50.58823529
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56.47058824
47.05882353
54.11764706
37.64705882
50.58823529
49.41176471
56.47058824
43.52941176
38.82352941
43.52941176
43.52941176
42.35294118
36.47058824
52.94117647
47.05882353
65.88235294
48.23529412
45.88235294
58.82352941
49.41176471
44.70588235
47.05882353
55.29411765
52.94117647
63.52941176
50.58823529
45.88235294
49.41176471
52.94117647
44.70588235
52.94117647
44.70588235
49.41176471
43.52941176
55.29411765
47.05882353
44.70588235
55.29411765
35.29411765
54.11764706
52.94117647
61.17647059
45.88235294
52.94117647
44.70588235
45.88235294
50.58823529
48.23529412
58.82352941
55.29411765
51.76470588
55.29411765
52.94117647
0
45.88235294
48.82352941
42.94117647
48.82352941
51.76470588
48.23529412
57.64705882
51.76470588
54.11764706
50.58823529
47.64705882
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44.70588235
51.17647059
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48.82352941
54.11764706
51.76470588
53.52941176
55.29411765
57.05882353
51.76470588
51.76470588
45.88235294
47.64705882
52.94117647
50.58823529
57.05882353
1.176470588
51.17647059
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 30 31 32
minset1 RV11 RV21
51.2605042
48.7394958
47.89915966
53.78151261
49.57983193
45.37815126
44.53781513
51.2605042
55.46218487
50.42016807
44.53781513
48.7394958
51.2605042
46.21848739
47.89915966
40.33613445
47.05882353
52.94117647
52.94117647
47.89915966
52.10084034
42.85714286
56.30252101
57.98319328
52.10084034
54.62184874
61.34453782
47.05882353
41.17647059
47.89915966
44.53781513
42.01680672
61.34453782
47.89915966
49.57983193
50.42016807
52.10084034
56.30252101
51.2605042
57.14285714
51.2605042
88.23529412
42.01680672
40.33613445
42.85714286
33.61344538
35.29411765
63.02521008
67.22689076
36.13445378
49.57983193
46.63865546
55.04201681
55.46218487
49.15966387
49.15966387
55.04201681
50.42016807
52.5210084
56.30252101
53.36134454
50.42016807
50
49.15966387
49.15966387
50
88.23529412
35.29411765
38.65546218
33.19327731
37.81512605
34.45378151
60.92436975
69.74789916
34.87394958
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
minset1 RV11 RV21
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minset1 RV11 RV21
17.64705882
23.52941176
23.52941176
31.37254902
19.60784314
88.23529412
84.31372549
80.39215686
74.50980392
43.1372549
98.03921569
37.25490196
9.803921569
7.843137255
47.05882353
54.90196078
52.94117647
62.74509804
45.09803922
64.70588235
64.70588235
41.17647059
49.01960784
60.78431373
60.78431373
58.82352941
13.7254902
13.7254902
9.803921569
23.52941176
37.25490196
70.58823529
90.19607843
88.23529412
82.35294118
49.01960784
100
13.7254902
3.921568627
7.843137255
56.8627451
54.90196078
49.01960784
43.1372549
62.74509804
39.21568627
35.29411765
31.37254902
62.74509804
64.70588235
64.70588235
54.90196078
10.78431373
7.843137255
13.7254902
22.54901961
29.41176471
73.52941176
85.29411765
88.23529412
88.23529412
35.29411765
100
13.7254902
10.78431373
9.803921569
39.21568627
47.05882353
47.05882353
31.37254902
63.7254902
33.33333333
29.41176471
50.98039216
50.98039216
54.90196078
50
56.8627451
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
minset1 RV11 RV12
c1355
c880
c1908
c2670
5.921052632
65.13157895
39.47368421
53.94736842
48.02631579
9.868421053
51.31578947
56.57894737
18.42105263
43.42105263
45.39473684
25
38.81578947
47.36842105
50.65789474
45.39473684
47.36842105
44.07894737
96.05263158
55.26315789
50
49.34210526
4.605263158
62.5
58.55263158
57.89473684
55.92105263
20.39473684
58.55263158
51.31578947
3.289473684
7.236842105
3.947368421
8.552631579
7.236842105
7.894736842
7.894736842
42.10526316
42.10526316
3.947368421
99.34210526
53.94736842
56.57894737
59.86842105
6.25
62.82894737
55.59210526
53.61842105
51.31578947
16.77631579
57.89473684
41.44736842
1.644736842
7.236842105
4.934210526
13.81578947
7.236842105
6.907894737
7.236842105
48.35526316
43.42105263
5.592105263
99.67105263
47.03947368
54.27631579
58.55263158
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
minset1 RV11 RV21
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minset1 RV11 RV21
41.17647059
47.05882353
55.88235294
41.17647059
47.05882353
41.17647059
55.88235294
55.88235294
29.41176471
52.94117647
44.11764706
61.76470588
47.05882353
41.17647059
50
41.17647059
58.82352941
47.05882353
50
29.41176471
44.11764706
58.82352941
61.76470588
58.82352941
32.35294118
52.94117647
58.82352941
38.23529412
50
41.17647059
17.64705882
26.47058824
20.58823529
38.23529412
47.05882353
50
50
55.88235294
35.29411765
47.05882353
38.23529412
64.70588235
55.88235294
47.05882353
52.94117647
44.11764706
61.76470588
70.58823529
35.29411765
44.11764706
47.05882353
44.11764706
41.17647059
58.82352941
52.94117647
55.88235294
55.88235294
61.76470588
44.11764706
35.29411765
35.29411765
26.47058824
17.64705882
17.64705882
22.05882353
44.11764706
42.64705882
52.94117647
61.76470588
50
45.58823529
51.47058824
50
45.58823529
55.88235294
48.52941176
54.41176471
64.70588235
63.23529412
51.47058824
47.05882353
58.82352941
50
51.47058824
42.64705882
51.47058824
51.47058824
44.11764706
42.64705882
50
39.70588235
44.11764706
25
41.17647059
10.29411765
20.58823529
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 30 31 32
minset1 RV11 RV21
0
50
100
150
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99 101103105107
minset1 RV11 RV21
c3540
c5315
c6288
c7552
114.2857143
85.71428571
102.1978022 95.81780538
minset RV1 RV2 RV3
c17
311.7346939
284.3537415 284.0732169
276.9742498
minset RV1 RV2 RV3
c432
1603.755102
1555.265306
1547.737374 1549.625651
minset RV1 RV2 RV3
c499
1033.936652
950.2262443
933.9992532
950.1333926
minset RV1 RV2 RV3
c880
1589.859944
1547.787115
1552.794988 1550.491513
minset RV1 RV2 RV3
c1355
1251.645065
1192.422732 1187.582881
1201.120637
minset RV1 RV2 RV3
c1908
Part(c)Data and Conclusions Min set –Minimum set
generated by Atlanta.(size
same as mentioned in part a)
RV1-Random test vector set
with size same as the minset
RV2-Random test vector set
with 2x size of minset
RV3-Random test vector set
with 10x size of minset.
Y-axis-Average hamming
distance percentage.
Average hamming distance
=Sum of gamming distance
of all pairs/total no.of pairs.
Average hamming distance
percentage=Average
hamming distance*100
6432.650494
6171.015274 6182.044174 6193.045059
minset RV1 RV2 RV3
c2670
946.4447543
676.4726386 682.8274275 678.2226881
minset RV1 RV2 RV3
c3540
5189.772341
5018.722392
4967.276878 4977.886454
1 2 3 4
c5315
1562.388592
1523.707665 1521.817384 1519.835155
minset RV1 RV2 RV3
c6288
4970.456503
4865.284791
4879.928197
4900.259947
minset RV1 RV2 RV3
c7552 When compared to the Atalanta generated test vectors the random
vectors have a lower hamming diversity in case of all benchmarks. This
means the random vectors considered produced are such that the
outputs have smaller difference between each other than the outputs
produced by Atalanta.As Atalanta covers all the possible faults it might
cover the entire range of outputs in order to see the difference and
hence has more diversity.
From the graphs it can be seen that enlarging the test pattern did not give a significant difference in the hamming distance
diversity in most of the cases(but not all).What I understood from this is the random vectors I have chosen might be in such a
way that they are leading a change in the output of only a specific part of the circuit .
So in order to increase the HD diversity the test vectors used to increase the random set should be in such a way that they
can produce noticeable change across the output. For example for C17 benchmark the Random test set with double size than
the minset shows greater diversity than the Random test with size similar to that of minset .This means the increased vectors
are capable of generating wide change in output values leading to increased diversity. It is similar in case of C7552 benchmark
also.
So from this we can conclude that the HD diversity depends on the variation that the input test set can make at the output .
If Inputs in the random set are increased as shown in Figure a i.e. addition of these inputs can change large number of
outputs then the diversity increases( with exceptions -what if they are covering the same part of circuit as inputs that are
already existing?? In such a case the diversity does not change much.)
If inputs are as shown Figure b i.e. addition of inputs cover a smaller part of output then the diversity decreases.
One more observation is the diversity depends not only the type but also depends on size because as the number of
combinations increase the denominator for average hamming distance( which we are considering as a measure for diversity )
increases and hence the diversity decreases .So the set size should be increased as less as possible with as much output
coverage as possible to increase the diversity.
Figure a Figure b

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