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
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
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
|
/********************* */
/*! \file tableau.cpp
** \verbatim
** Original author: taking
** Major contributors: none
** Minor contributors (to current version): none
** This file is part of the CVC4 prototype.
** Copyright (c) 2009, 2010 The Analysis of Computer Systems Group (ACSys)
** Courant Institute of Mathematical Sciences
** New York University
** See the file COPYING in the top-level source directory for licensing
** information.\endverbatim
**
** \brief [[ Add one-line brief description here ]]
**
** [[ Add lengthier description here ]]
** \todo document this file
**/
#include "theory/arith/tableau.h"
using namespace std;
using namespace CVC4;
using namespace CVC4::theory;
using namespace CVC4::theory::arith;
Tableau::Tableau(const Tableau& tab){
internalCopy(tab);
}
void Tableau::internalCopy(const Tableau& tab){
uint32_t N = tab.d_rowsTable.size();
Debug("tableau::copy") << "tableau copy "<< N << endl;
if(N > 1){
d_columnMatrix.insert(d_columnMatrix.end(), N, ArithVarSet());
d_rowsTable.insert(d_rowsTable.end(), N, NULL);
d_basicVariables.increaseSize(N-1);
Assert(d_basicVariables.allocated() == tab.d_basicVariables.allocated());
d_rowCount.insert(d_rowCount.end(), N, 0);
}
ColumnMatrix::iterator i_colIter = d_columnMatrix.begin();
ColumnMatrix::iterator end_colIter = d_columnMatrix.end();
for(; i_colIter != end_colIter; ++i_colIter){
Column& col = *i_colIter;
col.increaseSize(d_columnMatrix.size());
}
ArithVarSet::iterator i_basicIter = tab.d_basicVariables.begin();
ArithVarSet::iterator i_basicEnd = tab.d_basicVariables.end();
for(; i_basicIter != i_basicEnd; ++i_basicIter){
ArithVar basicVar = *i_basicIter;
const ReducedRowVector* otherRow = tab.d_rowsTable[basicVar];
Assert(otherRow != NULL);
std::vector< ArithVar > variables;
std::vector< Rational > coefficients;
otherRow->enqueueNonBasicVariablesAndCoefficients(variables, coefficients);
ReducedRowVector* copy = new ReducedRowVector(basicVar, variables, coefficients, d_rowCount, d_columnMatrix);
Debug("tableau::copy") << "copying " << basicVar << endl;
copy->printRow();
d_basicVariables.add(basicVar);
d_rowsTable[basicVar] = copy;
}
}
Tableau& Tableau::operator=(const Tableau& other){
clear();
internalCopy(other);
return (*this);
}
Tableau::~Tableau(){
clear();
}
void Tableau::clear(){
while(!d_basicVariables.empty()){
ArithVar curr = *(d_basicVariables.begin());
ReducedRowVector* vec = removeRow(curr);
delete vec;
}
d_rowsTable.clear();
d_basicVariables.clear();
d_rowCount.clear();
d_columnMatrix.clear();
}
void Tableau::addRow(ArithVar basicVar,
const std::vector<Rational>& coeffs,
const std::vector<ArithVar>& variables){
Assert(coeffs.size() == variables.size());
//The new basic variable cannot already be a basic variable
Assert(!d_basicVariables.isMember(basicVar));
d_basicVariables.add(basicVar);
ReducedRowVector* row_current = new ReducedRowVector(basicVar,variables, coeffs,d_rowCount, d_columnMatrix);
d_rowsTable[basicVar] = row_current;
//A variable in the row may have been made non-basic already.
//If this is the case we fake pivoting this variable
vector<ArithVar>::const_iterator varsIter = variables.begin();
vector<ArithVar>::const_iterator varsEnd = variables.end();
for( ; varsIter != varsEnd; ++varsIter){
ArithVar var = *varsIter;
if(d_basicVariables.isMember(var)){
ReducedRowVector& row_var = lookup(var);
row_current->substitute(row_var);
}
}
}
ReducedRowVector* Tableau::removeRow(ArithVar basic){
Assert(d_basicVariables.isMember(basic));
ReducedRowVector* row = d_rowsTable[basic];
d_basicVariables.remove(basic);
d_rowsTable[basic] = NULL;
return row;
}
void Tableau::pivot(ArithVar x_r, ArithVar x_s){
Assert(d_basicVariables.isMember(x_r));
Assert(!d_basicVariables.isMember(x_s));
Debug("tableau") << "Tableau::pivot(" << x_r <<", " <<x_s <<")" << endl;
ReducedRowVector* row_s = d_rowsTable[x_r];
Assert(row_s != NULL);
Assert(row_s->has(x_s));
//Swap x_r and x_s in d_activeRows
d_rowsTable[x_s] = row_s;
d_rowsTable[x_r] = NULL;
d_basicVariables.remove(x_r);
d_basicVariables.add(x_s);
row_s->pivot(x_s);
ArithVarSet::VarList copy(getColumn(x_s).getList());
vector<ArithVar>::iterator basicIter = copy.begin(), endIter = copy.end();
for(; basicIter != endIter; ++basicIter){
ArithVar basic = *basicIter;
if(basic == x_s) continue;
ReducedRowVector& row_k = lookup(basic);
Assert(row_k.has(x_s));
row_k.substitute(*row_s);
}
Assert(getColumn(x_s).size() == 1);
Assert(getRowCount(x_s) == 1);
}
void Tableau::printTableau(){
Debug("tableau") << "Tableau::d_activeRows" << endl;
typedef RowsTable::iterator table_iter;
for(table_iter rowIter = d_rowsTable.begin(), end = d_rowsTable.end();
rowIter != end; ++rowIter){
ReducedRowVector* row_k = *rowIter;
if(row_k != NULL){
row_k->printRow();
}
}
}
|
