Blame view

src/constraints/poly-ne-k.c 4.74 KB
659ea9b8   Vasco Pedro   new constraints p...
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
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
/* poly-ne-k(C, X, k) == sum(C . X) != k */

static int fd_poly_ne_k_filter(fd_constraint this)
{
  int k;
  int min, max;
  int terms = this->nvariables;
  int *mins, *maxs;
  int unset = 0;		// non-singleton variables
  int i;
#ifdef CONSTRAINT_TEMPS
  int *base;

  assert(!fd__constraint_data_valid(this));

  if (!constraint_memory[this->index])
    constraint_memory[this->index] = malloc((2 * terms + 3) * sizeof(int));

  base = constraint_memory[this->index];

  mins = base + 3;
  maxs = mins + terms;
#else
  mins = alloca(terms * sizeof(*mins));
  maxs = alloca(terms * sizeof(*maxs));
#endif

  k = this->constants[terms];

  // sum the minima and the maxima of the terms
  min = max = 0;

  for (i = 0; i < terms; ++i)
    {
      int vl, vh;
      int c = this->constants[i];

      if (c > 0)
	{
	  vl = mins[i] = _fd_var_min(VAR(this, i));
	  vh = maxs[i] = _fd_var_max(VAR(this, i));
	}
      else
	{
	  vl = maxs[i] = _fd_var_max(VAR(this, i));
	  vh = mins[i] = _fd_var_min(VAR(this, i));
	}

      if (c && vl != vh)
	unset++;

      min += c * vl;
      max += c * vh;
    }

  if (min > k || max < k)
    {
      fd__constraint_set_entailed(this);

      return FD_OK;
    }

  if (min == max)
    {
      if (min == k)
	return FD_NOSOLUTION;

      fd__constraint_set_entailed(this);

      return FD_OK;
    }

  if (unset == 1)
    {
      int m, v;

      // find out which is the non-singleton variable
      for (i = terms - 1; i >= 0; --i)
	if (this->constants[i] && mins[i] != maxs[i])
	  break;

      if (this->constants[i] > 0)
	m = min - this->constants[i] * mins[i];
      else
	m = min - this->constants[i] * maxs[i];

      v = (k - m) / this->constants[i];

      if (v * this->constants[i] + m == k)
	fd_update_domain_and_check(del_val, v, VAR(this, i));

      fd__constraint_set_entailed(this);
    }

#ifdef CONSTRAINT_TEMPS
  // save values
  *base = min;
  *(base + 1) = max;
  *(base + 2) = unset;

  fd__constraint_remember(this);
#endif

  return FD_OK;
}

static int fd_poly_ne_k_propagate2(fd_constraint this, fd_int culprit)
{
#ifdef CONSTRAINT_TEMPS
  int k;
  int min, max;
  int terms = this->nvariables;
  int *mins, *maxs;
  int unset;
  int i;
  int *base;
  int x, c;
  int nmin, nmin_x, nmax, nmax_x;

  if (!fd__constraint_data_valid(this))
    return fd_poly_ne_k_filter(this);	// ignores culprit

  // bounds filtering

  base = constraint_memory[this->index];

  mins = base + 3;
  maxs = mins + terms;

  k = this->constants[terms];

  min = *base;
  max = *(base + 1);

  unset = *(base + 2);

  // the culprit appears in one of the terms, find out which one(s)
  for (x = 0; culprit != VAR(this, x); ++x)
    ;

  nmin_x = _fd_var_min(VAR(this, x));
  nmax_x = _fd_var_max(VAR(this, x));

  if (nmin_x == mins[x] && nmax_x == maxs[x])
    return FD_OK;

  nmin = min;
  nmax = max;

  do
    {
      c = this->constants[x];

      if (c && nmin_x == nmax_x)
	unset--;

      if (c > 0)
	{
	  nmin = nmin + (nmin_x - mins[x]) * c;
	  nmax = nmax - (maxs[x] - nmax_x) * c;
	}
      else if (c < 0)
	{
	  nmin = nmin - (maxs[x] - nmax_x) * c;
	  nmax = nmax + (nmin_x - mins[x]) * c;
	}

      mins[x] = nmin_x;
      maxs[x] = nmax_x;

      while (++x < terms && culprit != VAR(this, x))
	;
    }
  while (x < terms);

  if (nmin > k || nmax < k)
    {
      fd__constraint_set_entailed(this);

      return FD_OK;
    }

  if (nmin == nmax)
    {
      if (nmin == k)
	return FD_NOSOLUTION;

      fd__constraint_set_entailed(this);

      return FD_OK;
    }

  if (unset == 1)
    {
      int m, v;

      // find out which is the non-singleton variable
      for (i = terms - 1; i >= 0; --i)
	if (this->constants[i] && mins[i] != maxs[i])
	  break;

eef94371   Vasco Pedro   Update to PaCCS v...
202
      if (this->constants[i] > 0)
659ea9b8   Vasco Pedro   new constraints p...
203
	m = min - this->constants[i] * mins[i];
eef94371   Vasco Pedro   Update to PaCCS v...
204
      else
659ea9b8   Vasco Pedro   new constraints p...
205
	m = min - this->constants[i] * maxs[i];
eef94371   Vasco Pedro   Update to PaCCS v...
206

659ea9b8   Vasco Pedro   new constraints p...
207
      v = (k - m) / this->constants[i];
eef94371   Vasco Pedro   Update to PaCCS v...
208

659ea9b8   Vasco Pedro   new constraints p...
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
      if (v * this->constants[i] + m == k)
	fd_update_domain_and_check(del_val, v, VAR(this, i));

      fd__constraint_set_entailed(this);
    }

  *base = nmin;
  *(base + 1) = nmax;
  *(base + 2) = unset;

  return FD_OK;
#else /* CONSTRAINT_TEMPS */
  return fd_poly_ne_k_filter(this);	// ignores culprit
#endif /* CONSTRAINT_TEMPS */
}

fd_constraint fd_poly_ne_k(int cs[], fd_int xs[], int nterms, int k)
{
  fd_constraint c = _fd_constraint_new(nterms, nterms + 1);
  int i;
eef94371   Vasco Pedro   Update to PaCCS v...
229

659ea9b8   Vasco Pedro   new constraints p...
230
231
232
233
234
235
236
237
238
  if (c)
    {
      for (i = 0; i < nterms; ++i)
	c->variables[i] = FD_INT2C_VAR(xs[i]);
      for (i = 0; i < nterms; ++i)
	c->constants[i] = cs[i];
      c->constants[nterms] = k;
#ifdef CONSTRAINT_CLASS
      c->kind = FD_CONSTR_POLY_NE_K;
eef94371   Vasco Pedro   Update to PaCCS v...
239
#else /* CONSTRAINT_CLASS */
659ea9b8   Vasco Pedro   new constraints p...
240
      c->propagator2 = fd_poly_ne_k_propagate2;
659ea9b8   Vasco Pedro   new constraints p...
241
242
243
244
245
246
247
248
249
#endif /* CONSTRAINT_CLASS */

      for (i = 0; i < c->nvariables; ++i)
	_fd_var_add_constraint(VAR(c, i), c);

      _fd_add_constraint(c);
    }

  return c;