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sigmoid_table.cpp
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1 // Copyright 2007 Google Inc.
2 // All Rights Reserved.
3 // Author: ahmadab@google.com (Ahmad Abdulkader)
4 //
5 // sigmoid_table.cpp: Sigmoid function lookup table
6 
7 #include "neuron.h"
8 
9 namespace tesseract {
10 
11 const float Neuron::kSigmoidTable[] = {
12  4.53979E-05f, 4.58541E-05f, 4.63149E-05f, 4.67804E-05f,
13  4.72505E-05f, 4.77254E-05f, 4.8205E-05f, 4.86894E-05f,
14  4.91787E-05f, 4.9673E-05f, 5.01722E-05f, 5.06764E-05f,
15  5.11857E-05f, 5.17001E-05f, 5.22196E-05f, 5.27444E-05f,
16  5.32745E-05f, 5.38099E-05f, 5.43506E-05f, 5.48968E-05f,
17  5.54485E-05f, 5.60058E-05f, 5.65686E-05f, 5.71371E-05f,
18  5.77113E-05f, 5.82913E-05f, 5.88771E-05f, 5.94688E-05f,
19  6.00664E-05f, 6.067E-05f, 6.12797E-05f, 6.18956E-05f,
20  6.25176E-05f, 6.31459E-05f, 6.37805E-05f, 6.44214E-05f,
21  6.50688E-05f, 6.57227E-05f, 6.63832E-05f, 6.70503E-05f,
22  6.77241E-05f, 6.84047E-05f, 6.90922E-05f, 6.97865E-05f,
23  7.04878E-05f, 7.11962E-05f, 7.19117E-05f, 7.26343E-05f,
24  7.33643E-05f, 7.41016E-05f, 7.48462E-05f, 7.55984E-05f,
25  7.63581E-05f, 7.71255E-05f, 7.79005E-05f, 7.86834E-05f,
26  7.94741E-05f, 8.02728E-05f, 8.10794E-05f, 8.18942E-05f,
27  8.27172E-05f, 8.35485E-05f, 8.43881E-05f, 8.52361E-05f,
28  8.60927E-05f, 8.69579E-05f, 8.78317E-05f, 8.87144E-05f,
29  8.96059E-05f, 9.05064E-05f, 9.14159E-05f, 9.23345E-05f,
30  9.32624E-05f, 9.41996E-05f, 9.51463E-05f, 9.61024E-05f,
31  9.70682E-05f, 9.80436E-05f, 9.90289E-05f, 0.000100024f,
32  0.000101029f, 0.000102044f, 0.00010307f, 0.000104106f,
33  0.000105152f, 0.000106209f, 0.000107276f, 0.000108354f,
34  0.000109443f, 0.000110542f, 0.000111653f, 0.000112775f,
35  0.000113909f, 0.000115053f, 0.000116209f, 0.000117377f,
36  0.000118557f, 0.000119748f, 0.000120951f, 0.000122167f,
37  0.000123395f, 0.000124635f, 0.000125887f, 0.000127152f,
38  0.00012843f, 0.00012972f, 0.000131024f, 0.000132341f,
39  0.00013367f, 0.000135014f, 0.00013637f, 0.000137741f,
40  0.000139125f, 0.000140523f, 0.000141935f, 0.000143361f,
41  0.000144802f, 0.000146257f, 0.000147727f, 0.000149211f,
42  0.00015071f, 0.000152225f, 0.000153754f, 0.000155299f,
43  0.00015686f, 0.000158436f, 0.000160028f, 0.000161636f,
44  0.000163261f, 0.000164901f, 0.000166558f, 0.000168232f,
45  0.000169922f, 0.00017163f, 0.000173354f, 0.000175096f,
46  0.000176856f, 0.000178633f, 0.000180428f, 0.000182241f,
47  0.000184072f, 0.000185922f, 0.00018779f, 0.000189677f,
48  0.000191583f, 0.000193508f, 0.000195452f, 0.000197416f,
49  0.0001994f, 0.000201403f, 0.000203427f, 0.000205471f,
50  0.000207536f, 0.000209621f, 0.000211727f, 0.000213855f,
51  0.000216003f, 0.000218174f, 0.000220366f, 0.00022258f,
52  0.000224817f, 0.000227076f, 0.000229357f, 0.000231662f,
53  0.00023399f, 0.000236341f, 0.000238715f, 0.000241114f,
54  0.000243537f, 0.000245984f, 0.000248455f, 0.000250951f,
55  0.000253473f, 0.00025602f, 0.000258592f, 0.00026119f,
56  0.000263815f, 0.000266465f, 0.000269143f, 0.000271847f,
57  0.000274578f, 0.000277337f, 0.000280123f, 0.000282938f,
58  0.000285781f, 0.000288652f, 0.000291552f, 0.000294481f,
59  0.00029744f, 0.000300429f, 0.000303447f, 0.000306496f,
60  0.000309575f, 0.000312685f, 0.000315827f, 0.000319f,
61  0.000322205f, 0.000325442f, 0.000328712f, 0.000332014f,
62  0.00033535f, 0.000338719f, 0.000342122f, 0.00034556f,
63  0.000349031f, 0.000352538f, 0.00035608f, 0.000359657f,
64  0.00036327f, 0.00036692f, 0.000370606f, 0.000374329f,
65  0.00037809f, 0.000381888f, 0.000385725f, 0.0003896f,
66  0.000393514f, 0.000397467f, 0.00040146f, 0.000405494f,
67  0.000409567f, 0.000413682f, 0.000417838f, 0.000422035f,
68  0.000426275f, 0.000430557f, 0.000434882f, 0.000439251f,
69  0.000443664f, 0.000448121f, 0.000452622f, 0.000457169f,
70  0.000461762f, 0.0004664f, 0.000471085f, 0.000475818f,
71  0.000480597f, 0.000485425f, 0.000490301f, 0.000495226f,
72  0.000500201f, 0.000505226f, 0.000510301f, 0.000515427f,
73  0.000520604f, 0.000525833f, 0.000531115f, 0.00053645f,
74  0.000541839f, 0.000547281f, 0.000552779f, 0.000558331f,
75  0.000563939f, 0.000569604f, 0.000575325f, 0.000581104f,
76  0.00058694f, 0.000592836f, 0.00059879f, 0.000604805f,
77  0.000610879f, 0.000617015f, 0.000623212f, 0.000629472f,
78  0.000635794f, 0.00064218f, 0.00064863f, 0.000655144f,
79  0.000661724f, 0.00066837f, 0.000675083f, 0.000681863f,
80  0.000688711f, 0.000695628f, 0.000702614f, 0.00070967f,
81  0.000716798f, 0.000723996f, 0.000731267f, 0.000738611f,
82  0.000746029f, 0.000753521f, 0.000761088f, 0.000768731f,
83  0.000776451f, 0.000784249f, 0.000792124f, 0.000800079f,
84  0.000808113f, 0.000816228f, 0.000824425f, 0.000832703f,
85  0.000841065f, 0.000849511f, 0.000858041f, 0.000866657f,
86  0.00087536f, 0.000884149f, 0.000893027f, 0.000901994f,
87  0.000911051f, 0.000920199f, 0.000929439f, 0.000938771f,
88  0.000948197f, 0.000957717f, 0.000967333f, 0.000977045f,
89  0.000986855f, 0.000996763f, 0.001006771f, 0.001016879f,
90  0.001027088f, 0.0010374f, 0.001047815f, 0.001058334f,
91  0.00106896f, 0.001079691f, 0.00109053f, 0.001101478f,
92  0.001112536f, 0.001123705f, 0.001134985f, 0.001146379f,
93  0.001157887f, 0.00116951f, 0.00118125f, 0.001193108f,
94  0.001205084f, 0.001217181f, 0.001229399f, 0.001241739f,
95  0.001254203f, 0.001266792f, 0.001279507f, 0.00129235f,
96  0.001305321f, 0.001318423f, 0.001331655f, 0.001345021f,
97  0.00135852f, 0.001372155f, 0.001385926f, 0.001399835f,
98  0.001413884f, 0.001428073f, 0.001442405f, 0.00145688f,
99  0.001471501f, 0.001486267f, 0.001501182f, 0.001516247f,
100  0.001531462f, 0.001546829f, 0.001562351f, 0.001578028f,
101  0.001593862f, 0.001609855f, 0.001626008f, 0.001642323f,
102  0.001658801f, 0.001675444f, 0.001692254f, 0.001709233f,
103  0.001726381f, 0.001743701f, 0.001761195f, 0.001778864f,
104  0.00179671f, 0.001814734f, 0.001832939f, 0.001851326f,
105  0.001869898f, 0.001888655f, 0.0019076f, 0.001926735f,
106  0.001946061f, 0.001965581f, 0.001985296f, 0.002005209f,
107  0.00202532f, 0.002045634f, 0.00206615f, 0.002086872f,
108  0.002107801f, 0.00212894f, 0.00215029f, 0.002171854f,
109  0.002193633f, 0.002215631f, 0.002237849f, 0.002260288f,
110  0.002282953f, 0.002305844f, 0.002328964f, 0.002352316f,
111  0.002375901f, 0.002399721f, 0.002423781f, 0.00244808f,
112  0.002472623f, 0.002497411f, 0.002522447f, 0.002547734f,
113  0.002573273f, 0.002599068f, 0.00262512f, 0.002651433f,
114  0.002678009f, 0.002704851f, 0.002731961f, 0.002759342f,
115  0.002786996f, 0.002814927f, 0.002843137f, 0.002871629f,
116  0.002900406f, 0.00292947f, 0.002958825f, 0.002988472f,
117  0.003018416f, 0.003048659f, 0.003079205f, 0.003110055f,
118  0.003141213f, 0.003172683f, 0.003204467f, 0.003236568f,
119  0.00326899f, 0.003301735f, 0.003334807f, 0.00336821f,
120  0.003401946f, 0.003436018f, 0.003470431f, 0.003505187f,
121  0.00354029f, 0.003575744f, 0.003611551f, 0.003647715f,
122  0.00368424f, 0.003721129f, 0.003758387f, 0.003796016f,
123  0.00383402f, 0.003872403f, 0.00391117f, 0.003950322f,
124  0.003989865f, 0.004029802f, 0.004070138f, 0.004110875f,
125  0.004152019f, 0.004193572f, 0.00423554f, 0.004277925f,
126  0.004320734f, 0.004363968f, 0.004407633f, 0.004451734f,
127  0.004496273f, 0.004541256f, 0.004586687f, 0.004632571f,
128  0.004678911f, 0.004725713f, 0.00477298f, 0.004820718f,
129  0.004868931f, 0.004917624f, 0.004966802f, 0.005016468f,
130  0.005066629f, 0.005117289f, 0.005168453f, 0.005220126f,
131  0.005272312f, 0.005325018f, 0.005378247f, 0.005432006f,
132  0.005486299f, 0.005541132f, 0.005596509f, 0.005652437f,
133  0.005708921f, 0.005765966f, 0.005823577f, 0.005881761f,
134  0.005940522f, 0.005999867f, 0.006059801f, 0.006120331f,
135  0.006181461f, 0.006243198f, 0.006305547f, 0.006368516f,
136  0.006432108f, 0.006496332f, 0.006561193f, 0.006626697f,
137  0.006692851f, 0.006759661f, 0.006827132f, 0.006895273f,
138  0.006964089f, 0.007033587f, 0.007103774f, 0.007174656f,
139  0.00724624f, 0.007318533f, 0.007391541f, 0.007465273f,
140  0.007539735f, 0.007614933f, 0.007690876f, 0.00776757f,
141  0.007845023f, 0.007923242f, 0.008002235f, 0.008082009f,
142  0.008162571f, 0.00824393f, 0.008326093f, 0.008409068f,
143  0.008492863f, 0.008577485f, 0.008662944f, 0.008749246f,
144  0.0088364f, 0.008924415f, 0.009013299f, 0.009103059f,
145  0.009193705f, 0.009285246f, 0.009377689f, 0.009471044f,
146  0.009565319f, 0.009660523f, 0.009756666f, 0.009853756f,
147  0.009951802f, 0.010050814f, 0.010150801f, 0.010251772f,
148  0.010353738f, 0.010456706f, 0.010560688f, 0.010665693f,
149  0.01077173f, 0.01087881f, 0.010986943f, 0.011096138f,
150  0.011206406f, 0.011317758f, 0.011430203f, 0.011543752f,
151  0.011658417f, 0.011774206f, 0.011891132f, 0.012009204f,
152  0.012128435f, 0.012248835f, 0.012370415f, 0.012493186f,
153  0.012617161f, 0.012742349f, 0.012868764f, 0.012996417f,
154  0.013125318f, 0.013255481f, 0.013386918f, 0.01351964f,
155  0.013653659f, 0.013788989f, 0.01392564f, 0.014063627f,
156  0.014202961f, 0.014343656f, 0.014485724f, 0.014629178f,
157  0.014774032f, 0.014920298f, 0.01506799f, 0.015217121f,
158  0.015367706f, 0.015519757f, 0.015673288f, 0.015828314f,
159  0.015984848f, 0.016142905f, 0.016302499f, 0.016463645f,
160  0.016626356f, 0.016790648f, 0.016956536f, 0.017124033f,
161  0.017293157f, 0.01746392f, 0.01763634f, 0.017810432f,
162  0.01798621f, 0.018163691f, 0.018342891f, 0.018523825f,
163  0.01870651f, 0.018890962f, 0.019077197f, 0.019265233f,
164  0.019455085f, 0.01964677f, 0.019840306f, 0.020035709f,
165  0.020232997f, 0.020432187f, 0.020633297f, 0.020836345f,
166  0.021041347f, 0.021248323f, 0.02145729f, 0.021668266f,
167  0.021881271f, 0.022096322f, 0.022313439f, 0.022532639f,
168  0.022753943f, 0.02297737f, 0.023202938f, 0.023430668f,
169  0.023660578f, 0.023892689f, 0.024127021f, 0.024363594f,
170  0.024602428f, 0.024843544f, 0.025086962f, 0.025332703f,
171  0.025580788f, 0.025831239f, 0.026084075f, 0.02633932f,
172  0.026596994f, 0.026857119f, 0.027119717f, 0.027384811f,
173  0.027652422f, 0.027922574f, 0.028195288f, 0.028470588f,
174  0.028748496f, 0.029029036f, 0.029312231f, 0.029598104f,
175  0.02988668f, 0.030177981f, 0.030472033f, 0.030768859f,
176  0.031068484f, 0.031370932f, 0.031676228f, 0.031984397f,
177  0.032295465f, 0.032609455f, 0.032926395f, 0.033246309f,
178  0.033569223f, 0.033895164f, 0.034224158f, 0.03455623f,
179  0.034891409f, 0.035229719f, 0.035571189f, 0.035915846f,
180  0.036263716f, 0.036614828f, 0.036969209f, 0.037326887f,
181  0.037687891f, 0.038052247f, 0.038419986f, 0.038791134f,
182  0.039165723f, 0.03954378f, 0.039925334f, 0.040310415f,
183  0.040699054f, 0.041091278f, 0.041487119f, 0.041886607f,
184  0.042289772f, 0.042696644f, 0.043107255f, 0.043521635f,
185  0.043939815f, 0.044361828f, 0.044787703f, 0.045217473f,
186  0.045651171f, 0.046088827f, 0.046530475f, 0.046976146f,
187  0.047425873f, 0.04787969f, 0.048337629f, 0.048799723f,
188  0.049266006f, 0.049736512f, 0.050211273f, 0.050690325f,
189  0.051173701f, 0.051661435f, 0.052153563f, 0.052650118f,
190  0.053151136f, 0.053656652f, 0.0541667f, 0.054681317f,
191  0.055200538f, 0.055724398f, 0.056252934f, 0.056786181f,
192  0.057324176f, 0.057866955f, 0.058414556f, 0.058967013f,
193  0.059524366f, 0.06008665f, 0.060653903f, 0.061226163f,
194  0.061803466f, 0.062385851f, 0.062973356f, 0.063566018f,
195  0.064163876f, 0.064766969f, 0.065375333f, 0.065989009f,
196  0.066608036f, 0.067232451f, 0.067862294f, 0.068497604f,
197  0.06913842f, 0.069784783f, 0.070436731f, 0.071094304f,
198  0.071757542f, 0.072426485f, 0.073101173f, 0.073781647f,
199  0.074467945f, 0.075160109f, 0.07585818f, 0.076562197f,
200  0.077272202f, 0.077988235f, 0.078710337f, 0.079438549f,
201  0.080172912f, 0.080913467f, 0.081660255f, 0.082413318f,
202  0.083172696f, 0.083938432f, 0.084710566f, 0.085489139f,
203  0.086274194f, 0.087065772f, 0.087863915f, 0.088668663f,
204  0.089480059f, 0.090298145f, 0.091122961f, 0.09195455f,
205  0.092792953f, 0.093638212f, 0.094490369f, 0.095349465f,
206  0.096215542f, 0.097088641f, 0.097968804f, 0.098856073f,
207  0.099750489f, 0.100652094f, 0.101560928f, 0.102477033f,
208  0.103400451f, 0.104331223f, 0.10526939f, 0.106214992f,
209  0.10716807f, 0.108128667f, 0.109096821f, 0.110072574f,
210  0.111055967f, 0.112047039f, 0.11304583f, 0.114052381f,
211  0.115066732f, 0.116088922f, 0.117118991f, 0.118156978f,
212  0.119202922f, 0.120256862f, 0.121318838f, 0.122388887f,
213  0.123467048f, 0.124553358f, 0.125647857f, 0.12675058f,
214  0.127861566f, 0.128980852f, 0.130108474f, 0.131244469f,
215  0.132388874f, 0.133541723f, 0.134703052f, 0.135872897f,
216  0.137051293f, 0.138238273f, 0.139433873f, 0.140638126f,
217  0.141851065f, 0.143072723f, 0.144303134f, 0.145542329f,
218  0.14679034f, 0.148047198f, 0.149312935f, 0.15058758f,
219  0.151871164f, 0.153163716f, 0.154465265f, 0.15577584f,
220  0.157095469f, 0.158424179f, 0.159761997f, 0.16110895f,
221  0.162465063f, 0.163830361f, 0.16520487f, 0.166588614f,
222  0.167981615f, 0.169383897f, 0.170795482f, 0.172216392f,
223  0.173646647f, 0.175086268f, 0.176535275f, 0.177993686f,
224  0.179461519f, 0.180938793f, 0.182425524f, 0.183921727f,
225  0.185427419f, 0.186942614f, 0.188467325f, 0.190001566f,
226  0.191545349f, 0.193098684f, 0.194661584f, 0.196234056f,
227  0.197816111f, 0.199407757f, 0.201009f, 0.202619846f,
228  0.204240302f, 0.205870372f, 0.207510059f, 0.209159365f,
229  0.210818293f, 0.212486844f, 0.214165017f, 0.215852811f,
230  0.217550224f, 0.219257252f, 0.220973892f, 0.222700139f,
231  0.224435986f, 0.226181426f, 0.227936451f, 0.229701051f,
232  0.231475217f, 0.233258936f, 0.235052196f, 0.236854984f,
233  0.238667285f, 0.240489083f, 0.242320361f, 0.244161101f,
234  0.246011284f, 0.247870889f, 0.249739894f, 0.251618278f,
235  0.253506017f, 0.255403084f, 0.257309455f, 0.259225101f,
236  0.261149994f, 0.263084104f, 0.265027401f, 0.266979851f,
237  0.268941421f, 0.270912078f, 0.272891784f, 0.274880502f,
238  0.276878195f, 0.278884822f, 0.280900343f, 0.282924715f,
239  0.284957894f, 0.286999837f, 0.289050497f, 0.291109827f,
240  0.293177779f, 0.295254302f, 0.297339346f, 0.299432858f,
241  0.301534784f, 0.30364507f, 0.30576366f, 0.307890496f,
242  0.310025519f, 0.312168669f, 0.314319886f, 0.316479106f,
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470  0.999756463f, 0.999758886f, 0.999761285f, 0.999763659f,
471  0.99976601f, 0.999768338f, 0.999770643f, 0.999772924f,
472  0.999775183f, 0.99977742f, 0.999779634f, 0.999781826f,
473  0.999783997f, 0.999786145f, 0.999788273f, 0.999790379f,
474  0.999792464f, 0.999794529f, 0.999796573f, 0.999798597f,
475  0.9998006f, 0.999802584f, 0.999804548f, 0.999806492f,
476  0.999808417f, 0.999810323f, 0.99981221f, 0.999814078f,
477  0.999815928f, 0.999817759f, 0.999819572f, 0.999821367f,
478  0.999823144f, 0.999824904f, 0.999826646f, 0.99982837f,
479  0.999830078f, 0.999831768f, 0.999833442f, 0.999835099f,
480  0.999836739f, 0.999838364f, 0.999839972f, 0.999841564f,
481  0.99984314f, 0.999844701f, 0.999846246f, 0.999847775f,
482  0.99984929f, 0.999850789f, 0.999852273f, 0.999853743f,
483  0.999855198f, 0.999856639f, 0.999858065f, 0.999859477f,
484  0.999860875f, 0.999862259f, 0.99986363f, 0.999864986f,
485  0.99986633f, 0.999867659f, 0.999868976f, 0.99987028f,
486  0.99987157f, 0.999872848f, 0.999874113f, 0.999875365f,
487  0.999876605f, 0.999877833f, 0.999879049f, 0.999880252f,
488  0.999881443f, 0.999882623f, 0.999883791f, 0.999884947f,
489  0.999886091f, 0.999887225f, 0.999888347f, 0.999889458f,
490  0.999890557f, 0.999891646f, 0.999892724f, 0.999893791f,
491  0.999894848f, 0.999895894f, 0.99989693f, 0.999897956f,
492  0.999898971f, 0.999899976f, 0.999900971f, 0.999901956f,
493  0.999902932f, 0.999903898f, 0.999904854f, 0.9999058f,
494  0.999906738f, 0.999907665f, 0.999908584f, 0.999909494f,
495  0.999910394f, 0.999911286f, 0.999912168f, 0.999913042f,
496  0.999913907f, 0.999914764f, 0.999915612f, 0.999916452f,
497  0.999917283f, 0.999918106f, 0.999918921f, 0.999919727f,
498  0.999920526f, 0.999921317f, 0.999922099f, 0.999922875f,
499  0.999923642f, 0.999924402f, 0.999925154f, 0.999925898f,
500  0.999926636f, 0.999927366f, 0.999928088f, 0.999928804f,
501  0.999929512f, 0.999930213f, 0.999930908f, 0.999931595f,
502  0.999932276f, 0.99993295f, 0.999933617f, 0.999934277f,
503  0.999934931f, 0.999935579f, 0.99993622f, 0.999936854f,
504  0.999937482f, 0.999938104f, 0.99993872f, 0.99993933f,
505  0.999939934f, 0.999940531f, 0.999941123f, 0.999941709f,
506  0.999942289f, 0.999942863f, 0.999943431f, 0.999943994f,
507  0.999944551f, 0.999945103f, 0.999945649f, 0.99994619f,
508  0.999946726f, 0.999947256f, 0.99994778f, 0.9999483f,
509  0.999948814f, 0.999949324f, 0.999949828f, 0.999950327f,
510  0.999950821f, 0.999951311f, 0.999951795f, 0.999952275f,
511  0.999952749f, 0.99995322f, 0.999953685f, 0.999954146f,
512  0.999954602f
513 };
514 } // namespace tesseract
static const float kSigmoidTable[]
Definition: neuron.h:138