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1 // Copyright 2014 PDFium Authors. All rights reserved. | |
2 // Use of this source code is governed by a BSD-style license that can be | |
3 // found in the LICENSE file. | |
4 | |
5 // Original code copyright 2014 Foxit Software Inc. http://www.foxitsoftware.com | |
6 // Original code is licensed as follows: | |
7 /* | |
8 * Copyright 2007 ZXing authors | |
9 * | |
10 * Licensed under the Apache License, Version 2.0 (the "License"); | |
11 * you may not use this file except in compliance with the License. | |
12 * You may obtain a copy of the License at | |
13 * | |
14 * http://www.apache.org/licenses/LICENSE-2.0 | |
15 * | |
16 * Unless required by applicable law or agreed to in writing, software | |
17 * distributed under the License is distributed on an "AS IS" BASIS, | |
18 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | |
19 * See the License for the specific language governing permissions and | |
20 * limitations under the License. | |
21 */ | |
22 | |
23 #include "barcode.h" | |
24 #include "include/BC_ReedSolomonGF256.h" | |
25 #include "include/BC_ReedSolomonGF256Poly.h" | |
26 #include "include/BC_ReedSolomonDecoder.h" | |
27 CBC_ReedSolomonDecoder::CBC_ReedSolomonDecoder(CBC_ReedSolomonGF256* field) | |
28 { | |
29 m_field = field; | |
30 } | |
31 CBC_ReedSolomonDecoder::~CBC_ReedSolomonDecoder() | |
32 { | |
33 } | |
34 void CBC_ReedSolomonDecoder::Decode(CFX_Int32Array* received, FX_INT32 twoS, FX_
INT32 &e) | |
35 { | |
36 CBC_ReedSolomonGF256Poly poly; | |
37 poly.Init(m_field, received, e); | |
38 BC_EXCEPTION_CHECK_ReturnVoid(e); | |
39 CFX_Int32Array syndromeCoefficients; | |
40 syndromeCoefficients.SetSize(twoS); | |
41 FX_BOOL dataMatrix = FALSE; | |
42 FX_BOOL noError = TRUE; | |
43 for (FX_INT32 i = 0; i < twoS; i++) { | |
44 FX_INT32 eval = poly.EvaluateAt(m_field->Exp(dataMatrix ? i + 1 : i)); | |
45 syndromeCoefficients[twoS - 1 - i] = eval; | |
46 if (eval != 0) { | |
47 noError = FALSE; | |
48 } | |
49 } | |
50 if(noError) { | |
51 return; | |
52 } | |
53 CBC_ReedSolomonGF256Poly syndrome; | |
54 syndrome.Init(m_field, &syndromeCoefficients, e); | |
55 BC_EXCEPTION_CHECK_ReturnVoid(e); | |
56 CBC_ReedSolomonGF256Poly* rsg = m_field->BuildMonomial(twoS, 1, e); | |
57 BC_EXCEPTION_CHECK_ReturnVoid(e); | |
58 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> temp(rsg); | |
59 CFX_PtrArray* pa = RunEuclideanAlgorithm(temp.get(), &syndrome, twoS, e); | |
60 BC_EXCEPTION_CHECK_ReturnVoid(e); | |
61 CBC_AutoPtr<CFX_PtrArray > sigmaOmega(pa); | |
62 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> sigma((CBC_ReedSolomonGF256Poly*)(*sig
maOmega)[0]); | |
63 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> omega((CBC_ReedSolomonGF256Poly*)(*sig
maOmega)[1]); | |
64 CFX_Int32Array* ia1 = FindErrorLocations(sigma.get(), e); | |
65 BC_EXCEPTION_CHECK_ReturnVoid(e); | |
66 CBC_AutoPtr<CFX_Int32Array > errorLocations(ia1); | |
67 CFX_Int32Array* ia2 = FindErrorMagnitudes(omega.get(), errorLocations.get(),
dataMatrix, e); | |
68 BC_EXCEPTION_CHECK_ReturnVoid(e); | |
69 CBC_AutoPtr<CFX_Int32Array > errorMagnitudes(ia2); | |
70 for (FX_INT32 k = 0; k < errorLocations->GetSize(); k++) { | |
71 FX_INT32 position = received->GetSize() - 1 - m_field->Log((*errorLocati
ons)[k], e); | |
72 BC_EXCEPTION_CHECK_ReturnVoid(e); | |
73 if(position < 0) { | |
74 e = BCExceptionBadErrorLocation; | |
75 BC_EXCEPTION_CHECK_ReturnVoid(e); | |
76 } | |
77 (*received)[position] = CBC_ReedSolomonGF256::AddOrSubtract((*received)[
position], (*errorMagnitudes)[k]); | |
78 } | |
79 } | |
80 CFX_PtrArray *CBC_ReedSolomonDecoder::RunEuclideanAlgorithm(CBC_ReedSolomonGF256
Poly* a, CBC_ReedSolomonGF256Poly* b, FX_INT32 R, FX_INT32 &e) | |
81 { | |
82 if (a->GetDegree() < b->GetDegree()) { | |
83 CBC_ReedSolomonGF256Poly* temp = a; | |
84 a = b; | |
85 b = temp; | |
86 } | |
87 CBC_ReedSolomonGF256Poly* rsg1 = a->Clone(e); | |
88 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
89 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> rLast(rsg1); | |
90 CBC_ReedSolomonGF256Poly* rsg2 = b->Clone(e); | |
91 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
92 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> r(rsg2); | |
93 CBC_ReedSolomonGF256Poly* rsg3 = m_field->GetOne()->Clone(e); | |
94 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
95 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> sLast(rsg3); | |
96 CBC_ReedSolomonGF256Poly* rsg4 = m_field->GetZero()->Clone(e); | |
97 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
98 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> s(rsg4); | |
99 CBC_ReedSolomonGF256Poly* rsg5 = m_field->GetZero()->Clone(e); | |
100 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
101 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> tLast(rsg5); | |
102 CBC_ReedSolomonGF256Poly* rsg6 = m_field->GetOne()->Clone(e); | |
103 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
104 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> t(rsg6); | |
105 while (r->GetDegree() >= R / 2) { | |
106 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> rLastLast = rLast; | |
107 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> sLastLast = sLast; | |
108 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> tLastlast = tLast; | |
109 rLast = r; | |
110 sLast = s; | |
111 tLast = t; | |
112 if (rLast->IsZero()) { | |
113 e = BCExceptionR_I_1IsZero; | |
114 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
115 } | |
116 CBC_ReedSolomonGF256Poly* rsg7 = rLastLast->Clone(e); | |
117 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
118 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> rTemp(rsg7); | |
119 r = rTemp; | |
120 CBC_ReedSolomonGF256Poly* rsg8 = m_field->GetZero()->Clone(e); | |
121 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
122 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> q(rsg8); | |
123 FX_INT32 denominatorLeadingTerm = rLast->GetCoefficients(rLast->GetDegre
e()); | |
124 FX_INT32 dltInverse = m_field->Inverse(denominatorLeadingTerm, e); | |
125 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
126 while (r->GetDegree() >= rLast->GetDegree() && !(r->IsZero())) { | |
127 FX_INT32 degreeDiff = r->GetDegree() - rLast->GetDegree(); | |
128 FX_INT32 scale = m_field->Multiply(r->GetCoefficients(r->GetDegree()
), dltInverse); | |
129 CBC_ReedSolomonGF256Poly* rsgp1 = m_field->BuildMonomial(degreeDiff,
scale, e); | |
130 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
131 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> build(rsgp1); | |
132 CBC_ReedSolomonGF256Poly* rsgp2 = q->AddOrSubtract(build.get(), e); | |
133 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
134 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> temp(rsgp2); | |
135 q = temp; | |
136 CBC_ReedSolomonGF256Poly* rsgp3 = rLast->MultiplyByMonomial(degreeDi
ff, scale, e); | |
137 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
138 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> multiply(rsgp3); | |
139 CBC_ReedSolomonGF256Poly* rsgp4 = r->AddOrSubtract(multiply.get(), e
); | |
140 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
141 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> temp3(rsgp4); | |
142 r = temp3; | |
143 } | |
144 CBC_ReedSolomonGF256Poly* rsg9 = q->Multiply(sLast.get(), e); | |
145 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
146 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> temp1(rsg9); | |
147 CBC_ReedSolomonGF256Poly* rsg10 = temp1->AddOrSubtract(sLastLast.get(),
e); | |
148 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
149 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> temp2(rsg10); | |
150 s = temp2; | |
151 CBC_ReedSolomonGF256Poly* rsg11 = q->Multiply(tLast.get(), e); | |
152 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
153 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> temp5(rsg11); | |
154 CBC_ReedSolomonGF256Poly* rsg12 = temp5->AddOrSubtract(tLastlast.get(),
e); | |
155 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
156 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> temp6(rsg12); | |
157 t = temp6; | |
158 } | |
159 FX_INT32 sigmaTildeAtZero = t->GetCoefficients(0); | |
160 if (sigmaTildeAtZero == 0) { | |
161 e = BCExceptionIsZero; | |
162 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
163 } | |
164 FX_INT32 inverse = m_field->Inverse(sigmaTildeAtZero, e); | |
165 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
166 CBC_ReedSolomonGF256Poly* rsg13 = t->Multiply(inverse, e); | |
167 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
168 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> sigma(rsg13); | |
169 CBC_ReedSolomonGF256Poly* rsg14 = r->Multiply(inverse, e); | |
170 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
171 CBC_AutoPtr<CBC_ReedSolomonGF256Poly> omega(rsg14); | |
172 CFX_PtrArray *temp = FX_NEW CFX_PtrArray; | |
173 temp->Add(sigma.release()); | |
174 temp->Add(omega.release()); | |
175 return temp; | |
176 } | |
177 CFX_Int32Array *CBC_ReedSolomonDecoder::FindErrorLocations(CBC_ReedSolomonGF256P
oly* errorLocator, FX_INT32 &e) | |
178 { | |
179 FX_INT32 numErrors = errorLocator->GetDegree(); | |
180 if (numErrors == 1) { | |
181 CBC_AutoPtr<CFX_Int32Array > temp(FX_NEW CFX_Int32Array); | |
182 temp->Add(errorLocator->GetCoefficients(1)); | |
183 return temp.release(); | |
184 } | |
185 CFX_Int32Array *tempT = FX_NEW CFX_Int32Array; | |
186 tempT->SetSize(numErrors); | |
187 CBC_AutoPtr<CFX_Int32Array > result(tempT); | |
188 FX_INT32 ie = 0; | |
189 for (FX_INT32 i = 1; i < 256 && ie < numErrors; i++) { | |
190 if(errorLocator->EvaluateAt(i) == 0) { | |
191 (*result)[ie] = m_field->Inverse(i, ie); | |
192 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
193 ie++; | |
194 } | |
195 } | |
196 if (ie != numErrors) { | |
197 e = BCExceptionDegreeNotMatchRoots; | |
198 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
199 } | |
200 return result.release(); | |
201 } | |
202 CFX_Int32Array *CBC_ReedSolomonDecoder::FindErrorMagnitudes(CBC_ReedSolomonGF256
Poly* errorEvaluator, CFX_Int32Array* errorLocations, FX_BOOL dataMatrix, FX_INT
32 &e) | |
203 { | |
204 FX_INT32 s = errorLocations->GetSize(); | |
205 CFX_Int32Array * temp = FX_NEW CFX_Int32Array; | |
206 temp->SetSize(s); | |
207 CBC_AutoPtr<CFX_Int32Array > result(temp); | |
208 for (FX_INT32 i = 0; i < s; i++) { | |
209 FX_INT32 xiInverse = m_field->Inverse(errorLocations->operator [](i), e)
; | |
210 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
211 FX_INT32 denominator = 1; | |
212 for(FX_INT32 j = 0; j < s; j++) { | |
213 if(i != j) { | |
214 denominator = m_field->Multiply(denominator, | |
215 CBC_ReedSolomonGF256::AddOrSubtr
act(1, m_field->Multiply(errorLocations->operator [](j), xiInverse))); | |
216 } | |
217 } | |
218 FX_INT32 temp = m_field->Inverse(denominator, temp); | |
219 BC_EXCEPTION_CHECK_ReturnValue(e, NULL); | |
220 (*result)[i] = m_field->Multiply(errorEvaluator->EvaluateAt(xiInverse), | |
221 temp); | |
222 } | |
223 return result.release(); | |
224 } | |
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