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
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
pub use rna_ss_params::utils::*;
pub use rna_ss_params::hairpin_loop_params::*;
pub use rna_ss_params::helix_params::*;
use rna_ss_params::bulge_loop_params::*;
pub use rna_ss_params::dangling_end_params::*;
use rna_ss_params::internal_loop_params::*;
pub use bio_seq_algos::utils::*;
pub use std::cmp::{min, max};
pub use std::str::from_utf8_unchecked;
pub use getopts::Options;

pub type Pos = usize;
pub type PosPair = (Pos, Pos);
pub type Num = usize;
type NumPair = (Num, Num);
pub type Energy = Prob;
pub type HlTmDeltaFes = StackDeltaFes;
pub type IlTmDeltaFes = HlTmDeltaFes;
pub type MlTmDeltaFes = HlTmDeltaFes;
type Arg = String;
pub type Args = Vec<Arg>;
pub type FastaId = String;
#[derive(Clone)]
pub struct FastaRecord {
  pub fasta_id: FastaId,
  pub seq: Seq,
}
pub type FastaRecords = Vec<FastaRecord>;

pub const MAX_SPAN_OF_INDEX_PAIR_CLOSING_IL: usize = MAX_2_LOOP_LEN + 2;
pub const INVERSE_TEMPERATURE: Energy = 1. / (GAS_CONST as Energy * TEMPERATURE as Energy); // The unit is [K * mol / (kcal * K)] = [mol / kcal].
pub const MIN_SPAN_OF_INDEX_PAIR_CLOSING_ML: usize = MIN_SPAN_OF_INDEX_PAIR_CLOSING_HL * 2 + 2;
pub const HELIX_AU_OR_GU_END_PENALTY_DELTA_FE: FreeEnergy = 0.5;
pub const MAX_NINIO: FreeEnergy = 3.;
pub const COEFFICIENT_4_NINIO: FreeEnergy = 0.6;
lazy_static! {
  static ref CANONICAL_BPS: HashMap<BasePair, bool> = {
    [(AU, true), (CG, true), (GC, true), (GU, true), (UA, true), (UG, true)].iter().cloned().collect()
  };
  pub static ref HL_TM_DELTA_FES: HlTmDeltaFes = {
    [
      // For the base pair "AU" against which another base pair is stacked.
      ((AU, AA), -0.3),  ((AU, AC), -0.5),  ((AU, AG), -0.3),  ((AU, AU), -0.5),
      ((AU, CA), -0.1),  ((AU, CC), -0.2),  ((AU, CG), -0.1),  ((AU, CU), -0.2),
      ((AU, GA), -1.2),  ((AU, GC), -0.5), ((AU, GG), -1.1),  ((AU, GU), -0.5),
      ((AU, UA), -0.1),  ((AU, UC), -0.3),  ((AU, UG), -0.1), ((AU, UU), -1.2),
      // For the base pair "CG" against which another base pair is stacked.
      ((CG, AA), -1.5), ((CG, AC), -1.5), ((CG, AG), -1.4), ((CG, AU), -1.5),
      ((CG, CA), -1.0), ((CG, CC), -1.1), ((CG, CG), -1.0), ((CG, CU), -0.8),
      ((CG, GA), -2.3), ((CG, GC), -1.5), ((CG, GG), -2.4), ((CG, GU), -1.5),
      ((CG, UA), -1.0), ((CG, UC), -1.4), ((CG, UG), -1.0), ((CG, UU), -2.1),
      // For the base pair "GC" against which another base pair is stacked.
      ((GC, AA), -1.1), ((GC, AC), -1.5), ((GC, AG), -1.3), ((GC, AU), -1.5),
      ((GC, CA), -1.1),  ((GC, CC), -0.7), ((GC, CG), -1.1),  ((GC, CU), -0.5),
      ((GC, GA), -2.5), ((GC, GC), -1.5), ((GC, GG), -2.2), ((GC, GU), -1.5),
      ((GC, UA), -1.1), ((GC, UC), -1.0), ((GC, UG), -1.1), ((GC, UU), -1.6),
      // For the base pair "GU" against which another base pair is stacked.
      ((GU, AA), 0.2),  ((GU, AC), -0.5),  ((GU, AG), -0.3),  ((GU, AU), -0.5),
      ((GU, CA), -0.1),  ((GU, CC), -0.2),  ((GU, CG), -0.1),  ((GU, CU), -0.2),
      ((GU, GA), -1.0),  ((GU, GC), -0.5), ((GU, GG), -1.1),  ((GU, GU), -0.5),
      ((GU, UA), -0.1),  ((GU, UC), -0.3),  ((GU, UG), -0.1), ((GU, UU), -1.0),
      // For the base pair "UG" against which another base pair is stacked.
      ((UG, AA), -0.5),  ((UG, AC), -0.3),  ((UG, AG), -0.6),  ((UG, AU), -0.3),
      ((UG, CA), -0.2),  ((UG, CC), -0.1),  ((UG, CG), -0.2),    ((UG, CU), 0.0),
      ((UG, GA), -0.9),  ((UG, GC), -0.3), ((UG, GG), -1.1),  ((UG, GU), -0.3),
      ((UG, UA), -0.2),  ((UG, UC), -0.1),  ((UG, UG), -0.2),  ((UG, UU), -0.9),
      // For the base pair "UA" against which another base pair is stacked.
      ((UA, AA), -0.5),  ((UA, AC), -0.3),  ((UA, AG), -0.5),  ((UA, AU), -0.3),
      ((UA, CA), -0.2),  ((UA, CC), -0.1),  ((UA, CG), -0.2),    ((UA, CU), 0.0),
      ((UA, GA), -1.5),  ((UA, GC), -0.3), ((UA, GG), -1.5),  ((UA, GU), -0.3),
      ((UA, UA), -0.2),  ((UA, UC), -0.1),  ((UA, UG), -0.2),  ((UA, UU), -0.9),
    ].iter().cloned().collect()
  };
  pub static ref IL_TM_DELTA_FES: IlTmDeltaFes = {
    [
      // For the base pair "AU" against which another base pair is stacked.
      ((AU, AA), 0.7),  ((AU, AC), 0.7),  ((AU, AG), -0.1),  ((AU, AU), 0.7),
      ((AU, CA), 0.7),  ((AU, CC), 0.7),  ((AU, CG), 0.7),  ((AU, CU), 0.7),
      ((AU, GA), -0.3),  ((AU, GC), 0.7), ((AU, GG), -0.3),  ((AU, GU), 0.7),
      ((AU, UA), 0.7),  ((AU, UC), 0.7),  ((AU, UG), 0.7), ((AU, UU), 0.1),
      // For the base pair "CG" against which another base pair is stacked.
      ((CG, AA), 0.0), ((CG, AC), 0.0), ((CG, AG), -0.8), ((CG, AU), 0.0),
      ((CG, CA), 0.0), ((CG, CC), 0.0), ((CG, CG), 0.0), ((CG, CU), 0.0),
      ((CG, GA), -1.0), ((CG, GC), 0.0), ((CG, GG), -1.0), ((CG, GU), 0.0),
      ((CG, UA), 0.0), ((CG, UC), 0.0), ((CG, UG), 0.0), ((CG, UU), -0.6),
      // For the base pair "GC" against which another base pair is stacked.
      ((GC, AA), 0.0), ((GC, AC), 0.0), ((GC, AG), -0.8), ((GC, AU), 0.0),
      ((GC, CA), 0.0),  ((GC, CC), 0.0), ((GC, CG), 0.0),  ((GC, CU), 0.0),
      ((GC, GA), -1.0), ((GC, GC), 0.0), ((GC, GG), -1.0), ((GC, GU), 0.0),
      ((GC, UA), 0.0), ((GC, UC), 0.0), ((GC, UG), 0.0), ((GC, UU), -0.6),
      // For the base pair "GU" against which another base pair is stacked.
      ((GU, AA), 0.7),  ((GU, AC), 0.7),  ((GU, AG), -0.1),  ((GU, AU), 0.7),
      ((GU, CA), 0.7),  ((GU, CC), 0.7),  ((GU, CG), 0.7),  ((GU, CU), 0.7),
      ((GU, GA), -0.3),  ((GU, GC), 0.7), ((GU, GG), -0.3),  ((GU, GU), 0.7),
      ((GU, UA), 0.7),  ((GU, UC), 0.7),  ((GU, UG), 0.7), ((GU, UU), 0.1),
      // For the base pair "UG" against which another base pair is stacked.
      ((UG, AA), 0.7),  ((UG, AC), 0.7),  ((UG, AG), -0.1),  ((UG, AU), 0.7),
      ((UG, CA), 0.7),  ((UG, CC), 0.7),  ((UG, CG), 0.7),    ((UG, CU), 0.7),
      ((UG, GA), -0.3),  ((UG, GC), 0.7), ((UG, GG), -0.3),  ((UG, GU), 0.7),
      ((UG, UA), 0.7),  ((UG, UC), 0.7),  ((UG, UG), 0.7),  ((UG, UU), 0.1),
      // For the base pair "UA" against which another base pair is stacked.
      ((UA, AA), 0.7),  ((UA, AC), 0.7),  ((UA, AG), -0.1),  ((UA, AU), 0.7),
      ((UA, CA), 0.7),  ((UA, CC), 0.7),  ((UA, CG), 0.7),    ((UA, CU), 0.7),
      ((UA, GA), -0.3),  ((UA, GC), 0.7), ((UA, GG), -0.3),  ((UA, GU), 0.7),
      ((UA, UA), 0.7),  ((UA, UC), 0.7),  ((UA, UG), 0.7),  ((UA, UU), 0.1),
    ].iter().cloned().collect()
  };
  pub static ref ONE_VS_MANY_IL_TM_DELTA_FES: IlTmDeltaFes = {
    [
      // For the base pair "AU" against which another base pair is stacked.
      ((AU, AA), 0.7),  ((AU, AC), 0.7),  ((AU, AG), 0.7),  ((AU, AU), 0.7),
      ((AU, CA), 0.7),  ((AU, CC), 0.7),  ((AU, CG), 0.7),  ((AU, CU), 0.7),
      ((AU, GA), 0.7),  ((AU, GC), 0.7), ((AU, GG), 0.7),  ((AU, GU), 0.7),
      ((AU, UA), 0.7),  ((AU, UC), 0.7),  ((AU, UG), 0.7), ((AU, UU), 0.7),
      // For the base pair "CG" against which another base pair is stacked.
      ((CG, AA), 0.0), ((CG, AC), 0.0), ((CG, AG), 0.0), ((CG, AU), 0.0),
      ((CG, CA), 0.0), ((CG, CC), 0.0), ((CG, CG), 0.0), ((CG, CU), 0.0),
      ((CG, GA), 0.0), ((CG, GC), 0.0), ((CG, GG), 0.0), ((CG, GU), 0.0),
      ((CG, UA), 0.0), ((CG, UC), 0.0), ((CG, UG), 0.0), ((CG, UU), 0.0),
      // For the base pair "GC" against which another base pair is stacked.
      ((GC, AA), 0.0), ((GC, AC), 0.0), ((GC, AG), 0.0), ((GC, AU), 0.0),
      ((GC, CA), 0.0),  ((GC, CC), 0.0), ((GC, CG), 0.0),  ((GC, CU), 0.0),
      ((GC, GA), 0.0), ((GC, GC), 0.0), ((GC, GG), 0.0), ((GC, GU), 0.0),
      ((GC, UA), 0.0), ((GC, UC), 0.0), ((GC, UG), 0.0), ((GC, UU), 0.0),
      // For the base pair "GU" against which another base pair is stacked.
      ((GU, AA), 0.7),  ((GU, AC), 0.7),  ((GU, AG), 0.7),  ((GU, AU), 0.7),
      ((GU, CA), 0.7),  ((GU, CC), 0.7),  ((GU, CG), 0.7),  ((GU, CU), 0.7),
      ((GU, GA), 0.7),  ((GU, GC), 0.7), ((GU, GG), 0.7),  ((GU, GU), 0.7),
      ((GU, UA), 0.7),  ((GU, UC), 0.7),  ((GU, UG), 0.7), ((GU, UU), 0.7),
      // For the base pair "UG" against which another base pair is stacked.
      ((UG, AA), 0.7),  ((UG, AC), 0.7),  ((UG, AG), 0.7),  ((UG, AU), 0.7),
      ((UG, CA), 0.7),  ((UG, CC), 0.7),  ((UG, CG), 0.7),    ((UG, CU), 0.7),
      ((UG, GA), 0.7),  ((UG, GC), 0.7), ((UG, GG), 0.7),  ((UG, GU), 0.7),
      ((UG, UA), 0.7),  ((UG, UC), 0.7),  ((UG, UG), 0.7),  ((UG, UU), 0.7),
      // For the base pair "UA" against which another base pair is stacked.
      ((UA, AA), 0.7),  ((UA, AC), 0.7),  ((UA, AG), 0.7),  ((UA, AU), 0.7),
      ((UA, CA), 0.7),  ((UA, CC), 0.7),  ((UA, CG), 0.7),    ((UA, CU), 0.7),
      ((UA, GA), 0.7),  ((UA, GC), 0.7), ((UA, GG), 0.7),  ((UA, GU), 0.7),
      ((UA, UA), 0.7),  ((UA, UC), 0.7),  ((UA, UG), 0.7),  ((UA, UU), 0.7),
    ].iter().cloned().collect()
  };
  pub static ref TWO_VS_3_IL_TM_DELTA_FES: IlTmDeltaFes = {
    [
      // For the base pair "AU" against which another base pair is stacked.
      ((AU, AA), 0.7),  ((AU, AC), 0.7),  ((AU, AG), 0.7),  ((AU, AU), 0.7),
      ((AU, CA), 0.7),  ((AU, CC), 0.7),  ((AU, CG), 0.7),  ((AU, CU), 0.7),
      ((AU, GA), 0.4),  ((AU, GC), 0.7), ((AU, GG), 0.0),  ((AU, GU), 0.7),
      ((AU, UA), 0.7),  ((AU, UC), 0.7),  ((AU, UG), 0.7), ((AU, UU), 0.4),
      // For the base pair "CG" against which another base pair is stacked.
      ((CG, AA), 0.0), ((CG, AC), 0.0), ((CG, AG), -0.5), ((CG, AU), 0.0),
      ((CG, CA), 0.0), ((CG, CC), 0.0), ((CG, CG), 0.0), ((CG, CU), 0.0),
      ((CG, GA), -1.1), ((CG, GC), 0.0), ((CG, GG), 0.7), ((CG, GU), 0.0),
      ((CG, UA), 0.0), ((CG, UC), 0.0), ((CG, UG), 0.0), ((CG, UU), -0.3),
      // For the base pair "GC" against which another base pair is stacked.
      ((GC, AA), 0.0), ((GC, AC), 0.0), ((GC, AG), 0.0), ((GC, AU), 0.0),
      ((GC, CA), 0.0),  ((GC, CC), 0.0), ((GC, CG), 0.0),  ((GC, CU), 0.0),
      ((GC, GA), -1.2), ((GC, GC), 0.0), ((GC, GG), -0.7), ((GC, GU), 0.0),
      ((GC, UA), 0.0), ((GC, UC), 0.0), ((GC, UG), 0.0), ((GC, UU), -0.3),
      // For the base pair "GU" against which another base pair is stacked.
      ((GU, AA), 0.7),  ((GU, AC), 0.7),  ((GU, AG), 0.7),  ((GU, AU), 0.7),
      ((GU, CA), 0.7),  ((GU, CC), 0.7),  ((GU, CG), 0.7),  ((GU, CU), 0.7),
      ((GU, GA), -0.4),  ((GU, GC), 0.7), ((GU, GG), 0.0),  ((GU, GU), 0.7),
      ((GU, UA), 0.7),  ((GU, UC), 0.7),  ((GU, UG), 0.7), ((GU, UU), 0.4),
      // For the base pair "UG" against which another base pair is stacked.
      ((UG, AA), 0.7),  ((UG, AC), 0.7),  ((UG, AG), 0.7),  ((UG, AU), 0.7),
      ((UG, CA), 0.7),  ((UG, CC), 0.7),  ((UG, CG), 0.7),    ((UG, CU), 0.7),
      ((UG, GA), -0.4),  ((UG, GC), 0.7), ((UG, GG), 0.0),  ((UG, GU), 0.7),
      ((UG, UA), 0.7),  ((UG, UC), 0.7),  ((UG, UG), 0.7),  ((UG, UU), 0.4),
      // For the base pair "UA" against which another base pair is stacked.
      ((UA, AA), 0.7),  ((UA, AC), 0.7),  ((UA, AG), 0.7),  ((UA, AU), 0.7),
      ((UA, CA), 0.7),  ((UA, CC), 0.7),  ((UA, CG), 0.7),    ((UA, CU), 0.7),
      ((UA, GA), -0.4),  ((UA, GC), 0.7), ((UA, GG), 0.0),  ((UA, GU), 0.7),
      ((UA, UA), 0.7),  ((UA, UC), 0.7),  ((UA, UG), 0.7),  ((UA, UU), 0.4),
    ].iter().cloned().collect()
  };
  pub static ref ML_TM_DELTA_FES: MlTmDeltaFes = {
    [
      // For the base pair "AU" against which another base pair is stacked.
      ((AU, AA), -0.8),  ((AU, AC), -1.0),  ((AU, AG), -0.8),  ((AU, AU), -1.0),
      ((AU, CA), -0.6),  ((AU, CC), -0.7),  ((AU, CG), -0.6),  ((AU, CU), -0.7),
      ((AU, GA), -0.8),  ((AU, GC), -1.0), ((AU, GG), -0.8),  ((AU, GU), -1.0),
      ((AU, UA), -0.6),  ((AU, UC), -0.8),  ((AU, UG), -0.6), ((AU, UU), -0.8),
      // For the base pair "CG" against which another base pair is stacked.
      ((CG, AA), -1.5), ((CG, AC), -1.5), ((CG, AG), -1.4), ((CG, AU), -1.5),
      ((CG, CA), -1.0), ((CG, CC), -1.1), ((CG, CG), -1.0), ((CG, CU), -0.8),
      ((CG, GA), -1.4), ((CG, GC), -1.5), ((CG, GG), -1.6), ((CG, GU), -1.5),
      ((CG, UA), -1.0), ((CG, UC), -1.4), ((CG, UG), -1.0), ((CG, UU), -1.2),
      // For the base pair "GC" against which another base pair is stacked.
      ((GC, AA), -1.1), ((GC, AC), -1.5), ((GC, AG), -1.3), ((GC, AU), -1.5),
      ((GC, CA), -1.1),  ((GC, CC), -0.7), ((GC, CG), -1.1),  ((GC, CU), -0.5),
      ((GC, GA), -1.6), ((GC, GC), -1.5), ((GC, GG), -1.4), ((GC, GU), -1.5),
      ((GC, UA), -1.1), ((GC, UC), -1.0), ((GC, UG), -1.1), ((GC, UU), -0.7),
      // For the base pair "GU" against which another base pair is stacked.
      ((GU, AA), -0.3),  ((GU, AC), -1.0),  ((GU, AG), -0.8),  ((GU, AU), -1.0),
      ((GU, CA), -0.6),  ((GU, CC), -0.7),  ((GU, CG), -0.6),  ((GU, CU), -0.7),
      ((GU, GA), -0.6),  ((GU, GC), -1.0), ((GU, GG), -0.8),  ((GU, GU), -1.0),
      ((GU, UA), -0.6),  ((GU, UC), -0.8),  ((GU, UG), -0.6), ((GU, UU), -0.6),
      // For the base pair "UG" against which another base pair is stacked.
      ((UG, AA), -1.0),  ((UG, AC), -0.8),  ((UG, AG), -1.1),  ((UG, AU), -0.8),
      ((UG, CA), -0.7),  ((UG, CC), -0.6),  ((UG, CG), -0.7),    ((UG, CU), -0.5),
      ((UG, GA), -0.5),  ((UG, GC), -0.8), ((UG, GG), -0.8),  ((UG, GU), -0.8),
      ((UG, UA), -0.7),  ((UG, UC), -0.6),  ((UG, UG), -0.7),  ((UG, UU), -0.5),
      // For the base pair "UA" against which another base pair is stacked.
      ((UA, AA), -1.0),  ((UA, AC), -0.8),  ((UA, AG), -1.1),  ((UA, AU), -0.8),
      ((UA, CA), -0.7),  ((UA, CC), -0.6),  ((UA, CG), -0.7),    ((UA, CU), -0.5),
      ((UA, GA), -1.1),  ((UA, GC), -0.8), ((UA, GG), -1.2),  ((UA, GU), -0.8),
      ((UA, UA), -0.7),  ((UA, UC), -0.6),  ((UA, UG), -0.7),  ((UA, UU), -0.5),
    ].iter().cloned().collect()
  };
}

impl FastaRecord {
  pub fn new(fasta_id: FastaId, seq: Seq) -> FastaRecord {
    FastaRecord {
      fasta_id: fasta_id,
      seq: seq,
    }
  }
}

#[inline]
pub fn is_canonical(bp: &BasePair) -> bool {
  match CANONICAL_BPS.get(bp) {
    Some(_) => true,
    None => false
  }
}

#[inline]
pub fn get_hl_fe(seq: SeqSlice, pp_closing_loop: &PosPair) -> FreeEnergy {
  let hl = &seq[pp_closing_loop.0 .. pp_closing_loop.1 + 1];
  match SPECIAL_HL_DELTA_FES.get(hl) {
    Some(&fe) => fe,
    None => {
      let hl_len = pp_closing_loop.1 - pp_closing_loop.0 - 1;
      let bp_closing_hl = (seq[pp_closing_loop.0], seq[pp_closing_loop.1]);
      let hl_fe = if hl_len == MIN_HL_LEN {
        INIT_HL_DELTA_FES[hl_len]
      } else {
        let tm = (seq[pp_closing_loop.0 + 1], seq[pp_closing_loop.1 - 1]);
        let init_hl_delta_fe = if hl_len <= MAX_LOOP_LEN_4_LOG_EXTRAPOLATION_OF_INIT_LOOP_DELTA_FE {
          INIT_HL_DELTA_FES[hl_len]
        } else {
          INIT_HL_DELTA_FES[MIN_LOOP_LEN_4_LOG_EXTRAPOLATION_OF_INIT_HL_DELTA_FE - 1] + COEFFICIENT_4_LOG_EXTRAPOLATION_OF_INIT_HL_DELTA_FE * (hl_len as FreeEnergy / (MIN_LOOP_LEN_4_LOG_EXTRAPOLATION_OF_INIT_HL_DELTA_FE - 1) as FreeEnergy).ln()
        };
        init_hl_delta_fe + HL_TM_DELTA_FES[&(bp_closing_hl, tm)]
      };
      hl_fe + if bp_closing_hl == AU || bp_closing_hl == UA || bp_closing_hl == GU || bp_closing_hl == UG {HELIX_AU_OR_GU_END_PENALTY_DELTA_FE} else {0.}
    }
  }
}

#[inline]
pub fn get_2_loop_fe(seq: SeqSlice, pp_closing_loop: &PosPair, accessible_pp: &PosPair) -> FreeEnergy {
  if pp_closing_loop.0 + 1 == accessible_pp.0 && pp_closing_loop.1 - 1 == accessible_pp.1 {
    get_stack_fe(seq, pp_closing_loop, accessible_pp)
  } else if pp_closing_loop.0 + 1 == accessible_pp.0 || pp_closing_loop.1 - 1 == accessible_pp.1 {
    get_bl_fe(seq, pp_closing_loop, accessible_pp)
  } else {
    get_il_fe(seq, pp_closing_loop, accessible_pp)
  }
}

#[inline]
fn get_stack_fe(seq: SeqSlice, pp_closing_loop: &PosPair, accessible_pp: &PosPair) -> FreeEnergy {
  let bp_closing_loop = (seq[pp_closing_loop.0], seq[pp_closing_loop.1]);
  let accessible_bp = (seq[accessible_pp.0], seq[accessible_pp.1]);
  STACK_DELTA_FES[&(bp_closing_loop, accessible_bp)]
}

#[inline]
fn get_bl_fe(seq: SeqSlice, pp_closing_loop: &PosPair, accessible_pp: &PosPair) -> FreeEnergy {
  let bl_len = accessible_pp.0 - pp_closing_loop.0 + pp_closing_loop.1 - accessible_pp.1 - 2;
  if bl_len == 1 {
    INIT_BL_DELTA_FES[bl_len]
    + get_stack_fe(seq, pp_closing_loop, accessible_pp)
  } else {
    let bp_closing_loop = (seq[pp_closing_loop.0], seq[pp_closing_loop.1]);
    let accessible_bp = (seq[accessible_pp.0], seq[accessible_pp.1]);
    INIT_BL_DELTA_FES[bl_len] + if bp_closing_loop == AU || bp_closing_loop == UA || bp_closing_loop == GU || bp_closing_loop == UG {HELIX_AU_OR_GU_END_PENALTY_DELTA_FE} else {0.}
    + if accessible_bp == AU || accessible_bp == UA || accessible_bp == GU || accessible_bp == UG {HELIX_AU_OR_GU_END_PENALTY_DELTA_FE} else {0.}
  }
}

#[inline]
fn get_il_fe(seq: SeqSlice, pp_closing_loop: &PosPair, accessible_pp: &PosPair) -> FreeEnergy {
  let bp_closing_loop = (seq[pp_closing_loop.0], seq[pp_closing_loop.1]);
  let accessible_bp = (seq[accessible_pp.0], seq[accessible_pp.1]);
  let pair_of_nums_of_unpaired_bases = (accessible_pp.0 - pp_closing_loop.0 - 1, pp_closing_loop.1 - accessible_pp.1 - 1);
  let il_len = pair_of_nums_of_unpaired_bases.0 + pair_of_nums_of_unpaired_bases.1;
  match pair_of_nums_of_unpaired_bases {
    (1,1) => {
      let il = (seq[pp_closing_loop.0 + 1], seq[pp_closing_loop.1 - 1]);
      ONE_VS_1_IL_DELTA_FES[&(bp_closing_loop, il, accessible_bp)]
    },
    (1, 2) => {
      let il = ((seq[pp_closing_loop.0 + 1], seq[pp_closing_loop.1 - 1]), seq[pp_closing_loop.1 - 2]);
      ONE_VS_2_IL_DELTA_FES[&(bp_closing_loop, il, accessible_bp)]
    },
    (2, 1) => {
      let il = ((seq[pp_closing_loop.1 - 1], seq[pp_closing_loop.0 + 2]), seq[pp_closing_loop.0 + 1]);
      ONE_VS_2_IL_DELTA_FES[&(invert_bp(&accessible_bp), il, invert_bp(&bp_closing_loop))]
    },
    (2, 2) => {
      let il = (
        (seq[pp_closing_loop.0 + 1], seq[pp_closing_loop.1 - 1]),
        (seq[pp_closing_loop.0 + 2], seq[pp_closing_loop.1 - 2])
      );
      TWO_VS_2_IL_DELTA_FES[&(bp_closing_loop, il, accessible_bp)]
    },
    _ => {
      INIT_IL_DELTA_FES[il_len]
      + (COEFFICIENT_4_NINIO * get_abs_diff(pair_of_nums_of_unpaired_bases.0, pair_of_nums_of_unpaired_bases.1) as FreeEnergy).min(MAX_NINIO)
      + get_il_tm_delta_fe(seq, pp_closing_loop, accessible_pp, &pair_of_nums_of_unpaired_bases)
      + if bp_closing_loop == AU || bp_closing_loop == UA || bp_closing_loop == GU || bp_closing_loop == UG {HELIX_AU_OR_GU_END_PENALTY_DELTA_FE} else {0.}
      + if accessible_bp == AU || accessible_bp == UA || accessible_bp == GU || accessible_bp == UG {HELIX_AU_OR_GU_END_PENALTY_DELTA_FE} else {0.}
    },
  }
}

#[inline]
pub fn invert_bp(bp: &BasePair) -> BasePair {(bp.1, bp.0)}

#[inline]
fn get_abs_diff(x: usize, y: usize) -> usize {max(x, y) - min(x, y)}

#[inline]
fn get_il_tm_delta_fe(seq: SeqSlice, pp_closing_loop: &PosPair, accessible_pp: &PosPair, pair_of_nums_of_unpaired_bases: &NumPair) -> FreeEnergy {
  let bp_closing_loop = (seq[pp_closing_loop.0], seq[pp_closing_loop.1]);
  let accessible_bp = (seq[accessible_pp.1], seq[accessible_pp.0]);
  let tm_pair = (
    (seq[pp_closing_loop.0 + 1], seq[pp_closing_loop.1 - 1]),
    (seq[accessible_pp.1 + 1], seq[accessible_pp.0 - 1]),
  );
  match *pair_of_nums_of_unpaired_bases {
    (1, _) => {
      ONE_VS_MANY_IL_TM_DELTA_FES[&(bp_closing_loop, tm_pair.0)] + ONE_VS_MANY_IL_TM_DELTA_FES[&(accessible_bp, tm_pair.1)]
    },
    (_, 1) => {
      ONE_VS_MANY_IL_TM_DELTA_FES[&(bp_closing_loop, tm_pair.0)] + ONE_VS_MANY_IL_TM_DELTA_FES[&(accessible_bp, tm_pair.1)]
    },
    (2, 3) => {
      TWO_VS_3_IL_TM_DELTA_FES[&(bp_closing_loop, tm_pair.0)] + TWO_VS_3_IL_TM_DELTA_FES[&(accessible_bp, tm_pair.1)]
    },
    (3, 2) => {
      TWO_VS_3_IL_TM_DELTA_FES[&(bp_closing_loop, tm_pair.0)] + TWO_VS_3_IL_TM_DELTA_FES[&(accessible_bp, tm_pair.1)]
    },
    _ => {
      IL_TM_DELTA_FES[&(bp_closing_loop, tm_pair.0)] + IL_TM_DELTA_FES[&(accessible_bp, tm_pair.1)]
    }
  }
}

#[inline]
pub fn is_rna_base(base: Base) -> bool {
  match base {
    A => true,
    U => true,
    G => true,
    C => true,
    _ => false,
  }
}

#[inline]
pub fn print_program_usage(program_name: &str, opts: &Options) {
  let program_usage = format!("The usage of this program: {} [options]", program_name);
  print!("{}", opts.usage(&program_usage));
}

#[inline]
pub fn is_au_or_gu(bp: &BasePair) -> bool {
  *bp == AU || *bp == UA || *bp == GU || *bp == UG
}