File: ccd.cpp

package info (click to toggle)
tiledarray 1.0.0-1
  • links: PTS, VCS
  • area: main
  • in suites: sid
  • size: 9,568 kB
  • sloc: cpp: 53,449; javascript: 1,599; sh: 393; ansic: 226; python: 223; xml: 195; makefile: 36
file content (329 lines) | stat: -rw-r--r-- 15,468 bytes parent folder | download
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
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
/*
 * This file is a part of TiledArray.
 * Copyright (C) 2013  Virginia Tech
 *
 *  This program is free software: you can redistribute it and/or modify
 *  it under the terms of the GNU General Public License as published by
 *  the Free Software Foundation, either version 3 of the License, or
 *   (at your option) any later version.
 *
 *  This program is distributed in the hope that it will be useful,
 *  but WITHOUT ANY WARRANTY; without even the implied warranty of
 *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 *  GNU General Public License for more details.
 *
 *  You should have received a copy of the GNU General Public License
 *  along with this program.  If not, see <http://www.gnu.org/licenses/>.
 *
 */

#include <tiledarray.h>
#include <iomanip>
#include "input_data.h"

using namespace TiledArray;
using namespace TiledArray::expressions;

int main(int argc, char** argv) {
  // Initialize runtime
  TiledArray::World& world = TiledArray::initialize(argc, argv);

  std::string file_name = argv[1];

  // Open input file.
  std::ifstream input(file_name.c_str());

  if (!input.fail()) {
    // Read input data.

    if (world.rank() == 0) std::cout << "Reading input...";

    InputData data(input);
    input.close();

    if (world.rank() == 0) std::cout << " done.\nConstructing Fock tensors...";

    // Construct Fock tensor
    TiledArray::TSpArrayD f_a_oo = data.make_f(world, alpha, occ, occ);
    TiledArray::TSpArrayD f_a_vv = data.make_f(world, alpha, vir, vir);
    // Just make references to the data since the input is closed shell.
    TiledArray::TSpArrayD& f_b_oo = f_a_oo;
    TiledArray::TSpArrayD& f_b_vv = f_a_vv;

    // Fence to make sure Fock tensors are initialized on all nodes
    world.gop.fence();

    if (world.rank() == 0) std::cout << " done.\nConstructing v_ab tensors...";

    // Construct the integral tensors
    TiledArray::TSpArrayD v_ab_oooo = data.make_v_ab(world, occ, occ, occ, occ);
    TiledArray::TSpArrayD v_ab_vvoo = data.make_v_ab(world, vir, vir, occ, occ);
    TiledArray::TSpArrayD v_ab_oovv = data.make_v_ab(world, occ, occ, vir, vir);
    TiledArray::TSpArrayD v_ab_vovo = data.make_v_ab(world, vir, occ, vir, occ);
    TiledArray::TSpArrayD v_ab_ovov = data.make_v_ab(world, occ, vir, occ, vir);
    TiledArray::TSpArrayD v_ab_voov = data.make_v_ab(world, vir, occ, occ, vir);
    TiledArray::TSpArrayD v_ab_ovvo = data.make_v_ab(world, occ, vir, vir, occ);
    TiledArray::TSpArrayD v_ab_vvvv = data.make_v_ab(world, vir, vir, vir, vir);

    // Fence to make sure data on all nodes has been initialized
    world.gop.fence();

    if (world.rank() == 0)
      std::cout << " done.\nConstructing v_aa and v_bb tensors...";

    TiledArray::TSpArrayD v_aa_oooo;
    v_aa_oooo("i,j,k,l") = v_ab_oooo("i,j,k,l") - v_ab_oooo("i,j,l,k");
    TiledArray::TSpArrayD v_aa_vvoo;
    v_aa_vvoo("a,b,i,j") = v_ab_vvoo("a,b,i,j") - v_ab_vvoo("a,b,j,i");
    TiledArray::TSpArrayD v_aa_vovo;
    v_aa_vovo("a,i,b,j") = v_ab_vovo("a,i,b,j") - v_ab_voov("a,i,j,b");
    TiledArray::TSpArrayD v_aa_oovv;
    v_aa_oovv("i,j,a,b") = v_ab_oovv("i,j,a,b") - v_ab_oovv("i,j,b,a");
    TiledArray::TSpArrayD v_aa_vvvv;
    v_aa_vvvv("a,b,c,d") = v_ab_vvvv("a,b,c,d") - v_ab_vvvv("a,b,d,c");
    // Just make references to the data since the input is closed shell.
    TiledArray::TSpArrayD& v_bb_oooo = v_aa_oooo;
    TiledArray::TSpArrayD& v_bb_vvoo = v_aa_vvoo;
    TiledArray::TSpArrayD& v_bb_vovo = v_aa_vovo;
    TiledArray::TSpArrayD& v_bb_oovv = v_aa_oovv;
    TiledArray::TSpArrayD& v_bb_vvvv = v_aa_vvvv;

    // Fence again to make sure data all the integral tensors have been
    // initialized
    world.gop.fence();

    if (world.rank() == 0) std::cout << " done.\n";

    TiledArray::TSpArrayD t_aa_vvoo(world, v_aa_vvoo.trange(),
                                    v_aa_vvoo.shape());
    for (auto it = t_aa_vvoo.range().begin(); it != t_aa_vvoo.range().end();
         ++it)
      if (t_aa_vvoo.is_local(*it) && (!t_aa_vvoo.is_zero(*it)))
        t_aa_vvoo.set(*it, 0.0);

    TiledArray::TSpArrayD t_ab_vvoo(world, v_ab_vvoo.trange(),
                                    v_ab_vvoo.shape());
    for (auto it = t_ab_vvoo.range().begin(); it != t_ab_vvoo.range().end();
         ++it)
      if (t_ab_vvoo.is_local(*it) && (!t_ab_vvoo.is_zero(*it)))
        t_ab_vvoo.set(*it, 0.0);

    TiledArray::TSpArrayD t_bb_vvoo(world, v_bb_vvoo.trange(),
                                    v_bb_vvoo.shape());
    for (auto it = t_bb_vvoo.range().begin(); it != t_bb_vvoo.range().end();
         ++it)
      if (t_bb_vvoo.is_local(*it) && (!t_bb_vvoo.is_zero(*it)))
        t_bb_vvoo.set(*it, 0.0);

    TiledArray::TSpArrayD D_vvoo(world, v_ab_vvoo.trange(), v_ab_vvoo.shape());
    for (auto it = D_vvoo.range().begin(); it != D_vvoo.range().end(); ++it)
      if (D_vvoo.is_local(*it) && (!D_vvoo.is_zero(*it)))
        D_vvoo.set(*it, world.taskq.add(data, &InputData::make_D_vvoo_tile,
                                        D_vvoo.trange().make_tile_range(*it)));

    world.gop.fence();

    data.clear();

    if (world.rank() == 0) std::cout << "Calculating t amplitudes...\n";

    double energy = 0.0;

    for (unsigned int i = 0ul; i < 100; ++i) {
      if (world.rank() == 0) std::cout << "Iteration " << i << "\n";

      TiledArray::TSpArrayD r_aa_vvoo;
      r_aa_vvoo("p1a,p2a,h1a,h2a") =
          v_aa_vvoo("p1a,p2a,h1a,h2a") -
          f_a_vv("p1a,p3a") * t_aa_vvoo("p2a,p3a,h1a,h2a") +
          f_a_vv("p2a,p3a") * t_aa_vvoo("p1a,p3a,h1a,h2a") +
          f_a_oo("h3a,h1a") * t_aa_vvoo("p1a,p2a,h2a,h3a") -
          f_a_oo("h3a,h2a") * t_aa_vvoo("p1a,p2a,h1a,h3a") +
          0.5 * t_aa_vvoo("p3a,p4a,h1a,h2a") * v_aa_vvvv("p1a,p2a,p3a,p4a") +
          v_ab_voov("p1a,h3b,h1a,p3b") * t_ab_vvoo("p2a,p3b,h2a,h3b") -
          v_aa_vovo("p1a,h3a,p3a,h1a") * t_aa_vvoo("p2a,p3a,h2a,h3a") -
          v_ab_voov("p1a,h3b,h2a,p3b") * t_ab_vvoo("p2a,p3b,h1a,h3b") +
          v_aa_vovo("p1a,h3a,p3a,h2a") * t_aa_vvoo("p2a,p3a,h1a,h3a") -
          v_ab_voov("p2a,h3b,h1a,p3b") * t_ab_vvoo("p1a,p3b,h2a,h3b") +
          v_aa_vovo("p2a,h3a,p3a,h1a") * t_aa_vvoo("p1a,p3a,h2a,h3a") +
          v_ab_voov("p2a,h3b,h2a,p3b") * t_ab_vvoo("p1a,p3b,h1a,h3b") -
          v_aa_vovo("p2a,h3a,p3a,h2a") * t_aa_vvoo("p1a,p3a,h1a,h3a") +
          0.5 * v_aa_oooo("h3a,h4a,h1a,h2a") * t_aa_vvoo("p1a,p2a,h3a,h4a") -
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_ab_vvoo("p2a,p4b,h3a,h4b") *
              t_aa_vvoo("p1a,p3a,h1a,h2a") -
          0.5 * v_aa_oovv("h3a,h4a,p3a,p4a") * t_aa_vvoo("p2a,p4a,h3a,h4a") *
              t_aa_vvoo("p1a,p3a,h1a,h2a") +
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_ab_vvoo("p1a,p4b,h3a,h4b") *
              t_aa_vvoo("p2a,p3a,h1a,h2a") +
          0.5 * v_aa_oovv("h3a,h4a,p3a,p4a") * t_aa_vvoo("p1a,p4a,h3a,h4a") *
              t_aa_vvoo("p2a,p3a,h1a,h2a") -
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_ab_vvoo("p3a,p4b,h2a,h4b") *
              t_aa_vvoo("p1a,p2a,h1a,h3a") -
          0.5 * v_aa_oovv("h3a,h4a,p3a,p4a") * t_aa_vvoo("p3a,p4a,h2a,h4a") *
              t_aa_vvoo("p1a,p2a,h1a,h3a") +
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_ab_vvoo("p3a,p4b,h1a,h4b") *
              t_aa_vvoo("p1a,p2a,h2a,h3a") -
          0.5 * v_aa_oovv("h3a,h4a,p3a,p4a") * t_aa_vvoo("p3a,p4a,h1a,h3a") *
              t_aa_vvoo("p1a,p2a,h2a,h4a") +
          0.25 * v_aa_oovv("h3a,h4a,p3a,p4a") * t_aa_vvoo("p3a,p4a,h1a,h2a") *
              t_aa_vvoo("p1a,p2a,h3a,h4a") +
          v_bb_oovv("h3b,h4b,p3b,p4b") * t_ab_vvoo("p1a,p3b,h1a,h3b") *
              t_ab_vvoo("p2a,p4b,h2a,h4b") +
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_ab_vvoo("p1a,p4b,h1a,h4b") *
              t_aa_vvoo("p2a,p3a,h2a,h3a") +
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_aa_vvoo("p1a,p3a,h1a,h3a") *
              t_ab_vvoo("p2a,p4b,h2a,h4b") +
          v_aa_oovv("h3a,h4a,p3a,p4a") * t_aa_vvoo("p1a,p3a,h1a,h3a") *
              t_aa_vvoo("p2a,p4a,h2a,h4a") -
          v_bb_oovv("h3b,h4b,p3b,p4b") * t_ab_vvoo("p2a,p3b,h1a,h3b") *
              t_ab_vvoo("p1a,p4b,h2a,h4b") -
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_ab_vvoo("p2a,p4b,h1a,h4b") *
              t_aa_vvoo("p1a,p3a,h2a,h3a") -
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_aa_vvoo("p2a,p3a,h1a,h3a") *
              t_ab_vvoo("p1a,p4b,h2a,h4b") -
          v_aa_oovv("h3a,h4a,p3a,p4a") * t_aa_vvoo("p2a,p3a,h1a,h3a") *
              t_aa_vvoo("p1a,p4a,h2a,h4a");

      world.gop.fence();

      TiledArray::TSpArrayD r_ab_vvoo;
      r_ab_vvoo("p1a,p2b,h1a,h2b") =
          v_ab_vvoo("p1a,p2b,h1a,h2b") +
          f_a_vv("p1a,p3a") * t_ab_vvoo("p3a,p2b,h1a,h2b") +
          f_b_vv("p2b,p3b") * t_ab_vvoo("p1a,p3b,h1a,h2b") -
          f_a_oo("h3a,h1a") * t_ab_vvoo("p1a,p2b,h3a,h2b") -
          f_b_oo("h3b,h2b") * t_ab_vvoo("p1a,p2b,h1a,h3b") +
          t_ab_vvoo("p3a,p4b,h1a,h2b") * v_ab_vvvv("p1a,p2b,p3a,p4b") +
          v_ab_voov("p1a,h3b,h1a,p3b") * t_bb_vvoo("p2b,p3b,h2b,h3b") -
          v_aa_vovo("p1a,h3a,p3a,h1a") * t_ab_vvoo("p3a,p2b,h3a,h2b") -
          v_ab_vovo("p1a,h3b,p3a,h2b") * t_ab_vvoo("p3a,p2b,h1a,h3b") -
          v_ab_ovov("h3a,p2b,h1a,p3b") * t_ab_vvoo("p1a,p3b,h3a,h2b") -
          v_bb_vovo("p2b,h3b,p3b,h2b") * t_ab_vvoo("p1a,p3b,h1a,h3b") +
          v_ab_ovvo("h3a,p2b,p3a,h2b") * t_aa_vvoo("p1a,p3a,h1a,h3a") +
          v_ab_oooo("h3a,h4b,h1a,h2b") * t_ab_vvoo("p1a,p2b,h3a,h4b") -
          0.5 * v_bb_oovv("h3b,h4b,p3b,p4b") * t_bb_vvoo("p2b,p4b,h3b,h4b") *
              t_ab_vvoo("p1a,p3b,h1a,h2b") -
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_ab_vvoo("p3a,p2b,h3a,h4b") *
              t_ab_vvoo("p1a,p4b,h1a,h2b") -
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_ab_vvoo("p1a,p4b,h3a,h4b") *
              t_ab_vvoo("p3a,p2b,h1a,h2b") -
          0.5 * v_aa_oovv("h3a,h4a,p3a,p4a") * t_aa_vvoo("p1a,p4a,h3a,h4a") *
              t_ab_vvoo("p3a,p2b,h1a,h2b") -
          0.5 * v_bb_oovv("h3b,h4b,p3b,p4b") * t_bb_vvoo("p3b,p4b,h2b,h4b") *
              t_ab_vvoo("p1a,p2b,h1a,h3b") -
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_ab_vvoo("p3a,p4b,h3a,h2b") *
              t_ab_vvoo("p1a,p2b,h1a,h4b") -
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_ab_vvoo("p3a,p4b,h1a,h4b") *
              t_ab_vvoo("p1a,p2b,h3a,h2b") +
          0.5 * v_aa_oovv("h3a,h4a,p3a,p4a") * t_aa_vvoo("p3a,p4a,h1a,h3a") *
              t_ab_vvoo("p1a,p2b,h4a,h2b") +
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_ab_vvoo("p3a,p4b,h1a,h2b") *
              t_ab_vvoo("p1a,p2b,h3a,h4b") +
          v_bb_oovv("h3b,h4b,p3b,p4b") * t_ab_vvoo("p1a,p3b,h1a,h3b") *
              t_bb_vvoo("p2b,p4b,h2b,h4b") +
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_ab_vvoo("p1a,p4b,h1a,h4b") *
              t_ab_vvoo("p3a,p2b,h3a,h2b") +
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_aa_vvoo("p1a,p3a,h1a,h3a") *
              t_bb_vvoo("p2b,p4b,h2b,h4b") +
          v_aa_oovv("h3a,h4a,p3a,p4a") * t_aa_vvoo("p1a,p3a,h1a,h3a") *
              t_ab_vvoo("p4a,p2b,h4a,h2b") +
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_ab_vvoo("p3a,p2b,h1a,h4b") *
              t_ab_vvoo("p1a,p4b,h3a,h2b");

      world.gop.fence();

      TiledArray::TSpArrayD r_bb_vvoo;
      r_bb_vvoo("p1b,p2b,h1b,h2b") =
          v_bb_vvoo("p1b,p2b,h1b,h2b") -
          f_b_vv("p1b,p3b") * t_bb_vvoo("p2b,p3b,h1b,h2b") +
          f_b_vv("p2b,p3b") * t_bb_vvoo("p1b,p3b,h1b,h2b") +
          f_b_oo("h3b,h1b") * t_bb_vvoo("p1b,p2b,h2b,h3b") -
          f_b_oo("h3b,h2b") * t_bb_vvoo("p1b,p2b,h1b,h3b") +
          0.5 * t_bb_vvoo("p3b,p4b,h1b,h2b") * v_bb_vvvv("p1b,p2b,p3b,p4b") -
          v_bb_vovo("p1b,h3b,p3b,h1b") * t_bb_vvoo("p2b,p3b,h2b,h3b") +
          v_ab_ovvo("h3a,p1b,p3a,h1b") * t_ab_vvoo("p3a,p2b,h3a,h2b") +
          v_bb_vovo("p1b,h3b,p3b,h2b") * t_bb_vvoo("p2b,p3b,h1b,h3b") -
          v_ab_ovvo("h3a,p1b,p3a,h2b") * t_ab_vvoo("p3a,p2b,h3a,h1b") +
          v_bb_vovo("p2b,h3b,p3b,h1b") * t_bb_vvoo("p1b,p3b,h2b,h3b") -
          v_ab_ovvo("h3a,p2b,p3a,h1b") * t_ab_vvoo("p3a,p1b,h3a,h2b") -
          v_bb_vovo("p2b,h3b,p3b,h2b") * t_bb_vvoo("p1b,p3b,h1b,h3b") +
          v_ab_ovvo("h3a,p2b,p3a,h2b") * t_ab_vvoo("p3a,p1b,h3a,h1b") +
          0.5 * v_bb_oooo("h3b,h4b,h1b,h2b") * t_bb_vvoo("p1b,p2b,h3b,h4b") -
          0.5 * v_bb_oovv("h3b,h4b,p3b,p4b") * t_bb_vvoo("p2b,p4b,h3b,h4b") *
              t_bb_vvoo("p1b,p3b,h1b,h2b") -
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_ab_vvoo("p3a,p2b,h3a,h4b") *
              t_bb_vvoo("p1b,p4b,h1b,h2b") +
          0.5 * v_bb_oovv("h3b,h4b,p3b,p4b") * t_bb_vvoo("p1b,p4b,h3b,h4b") *
              t_bb_vvoo("p2b,p3b,h1b,h2b") +
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_ab_vvoo("p3a,p1b,h3a,h4b") *
              t_bb_vvoo("p2b,p4b,h1b,h2b") -
          0.5 * v_bb_oovv("h3b,h4b,p3b,p4b") * t_bb_vvoo("p3b,p4b,h2b,h4b") *
              t_bb_vvoo("p1b,p2b,h1b,h3b") -
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_ab_vvoo("p3a,p4b,h3a,h2b") *
              t_bb_vvoo("p1b,p2b,h1b,h4b") -
          0.5 * v_bb_oovv("h3b,h4b,p3b,p4b") * t_bb_vvoo("p3b,p4b,h1b,h3b") *
              t_bb_vvoo("p1b,p2b,h2b,h4b") +
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_ab_vvoo("p3a,p4b,h3a,h1b") *
              t_bb_vvoo("p1b,p2b,h2b,h4b") +
          0.25 * v_bb_oovv("h3b,h4b,p3b,p4b") * t_bb_vvoo("p3b,p4b,h1b,h2b") *
              t_bb_vvoo("p1b,p2b,h3b,h4b") +
          v_bb_oovv("h3b,h4b,p3b,p4b") * t_bb_vvoo("p1b,p3b,h1b,h3b") *
              t_bb_vvoo("p2b,p4b,h2b,h4b") +
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_ab_vvoo("p3a,p2b,h3a,h2b") *
              t_bb_vvoo("p1b,p4b,h1b,h4b") +
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_ab_vvoo("p3a,p1b,h3a,h1b") *
              t_bb_vvoo("p2b,p4b,h2b,h4b") +
          v_aa_oovv("h3a,h4a,p3a,p4a") * t_ab_vvoo("p3a,p1b,h3a,h1b") *
              t_ab_vvoo("p4a,p2b,h4a,h2b") -
          v_bb_oovv("h3b,h4b,p3b,p4b") * t_bb_vvoo("p2b,p3b,h1b,h3b") *
              t_bb_vvoo("p1b,p4b,h2b,h4b") -
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_ab_vvoo("p3a,p1b,h3a,h2b") *
              t_bb_vvoo("p2b,p4b,h1b,h4b") -
          v_ab_oovv("h3a,h4b,p3a,p4b") * t_ab_vvoo("p3a,p2b,h3a,h1b") *
              t_bb_vvoo("p1b,p4b,h2b,h4b") -
          v_aa_oovv("h3a,h4a,p3a,p4a") * t_ab_vvoo("p3a,p2b,h3a,h1b") *
              t_ab_vvoo("p4a,p1b,h4a,h2b");

      world.gop.fence();

      t_aa_vvoo("a,b,i,j") =
          D_vvoo("a,b,i,j") * r_aa_vvoo("a,b,i,j") + t_aa_vvoo("a,b,i,j");

      t_ab_vvoo("a,b,i,j") =
          D_vvoo("a,b,i,j") * r_ab_vvoo("a,b,i,j") + t_ab_vvoo("a,b,i,j");

      t_bb_vvoo("a,b,i,j") =
          D_vvoo("a,b,i,j") * r_bb_vvoo("a,b,i,j") + t_bb_vvoo("a,b,i,j");

      const double error =
          (r_aa_vvoo("a,b,i,j") + r_ab_vvoo("a,b,i,j") + r_bb_vvoo("a,b,i,j"))
              .norm();

      energy = 0.25 * (t_aa_vvoo("a,b,i,j").dot(v_aa_vvoo("a,b,i,j")) +
                       t_bb_vvoo("a,b,i,j").dot(v_bb_vvoo("a,b,i,j"))) +
               t_ab_vvoo("a,b,i,j").dot(v_ab_vvoo("a,b,i,j"));

      world.gop.fence();

      if (world.rank() == 0)
        std::cout << " error  = " << std::setprecision(12) << error << "\n"
                  << " energy = " << std::setprecision(12) << energy << "\n";

      if (error < 1.0e-10) break;
    }

    if (world.rank() == 0) {
      std::cout << "CCD energy = " << std::setprecision(12) << energy << "\n";
      std::cout << "Done!\n";
    }

  } else {
    std::cout << "Unable to open file: " << file_name << "\n";
    // stop the madenss runtime
    TiledArray::finalize();
    return 1;
  }

  TiledArray::finalize();
  return 0;
}