refeff-io 0.2.0

FEFF file-format readers and writers (feff.inp, .dat/.bin handoffs, PAD encoding) for the refeff FEFF10 port
Documentation
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
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
//! FEFF RHORRP ASCII density-output codec.
//!
//! `RHORRP/rhorrp.f90` writes text density grids as Cartesian coordinates and
//! density values. In its current diagnostic mode it also appends nearest-atom
//! displacement and atom/potential indices. Coordinates and density are written
//! in Angstrom units; the nearest-atom displacement follows FEFF's diagnostic
//! output and remains in Bohr.

use std::fmt::Write as _;
use std::path::Path;
use std::str::SplitWhitespace;

use ndarray::{Array1, Array2, ArrayView1, ArrayView2};

use crate::control_input::FEFF_BOHR_ANGSTROM;
use crate::error::{IoError, Result};
use crate::format::write_fortran_exp;

const RHORRP_BASIC_ROW_WIDTH: usize = 4;
const RHORRP_NEAREST_ROW_WIDTH: usize = 9;
const RHORRP_COORDINATE_COLUMNS: usize = 3;

/// Optional nearest-atom diagnostic columns from RHORRP text output.
#[derive(Debug, Clone, PartialEq)]
pub struct RhorrpNearestAtomColumns {
    /// Displacement from the nearest atom to the grid point, as `(point, xyz)`.
    pub displacement_bohr: Array2<f64>,
    /// FEFF text-output atom index after `iat = iat - 1`, so absorber is zero.
    pub atom_indices: Array1<usize>,
    /// Potential index `iph` for the nearest atom.
    pub potential_indices: Array1<usize>,
}

/// Parsed RHORRP ASCII density output.
#[derive(Debug, Clone, PartialEq)]
pub struct RhorrpDensityTextData {
    /// Cartesian grid coordinates in Angstroms as `(point, xyz)`.
    pub points_angstrom: Array2<f64>,
    /// Charge density in inverse cubic Angstroms.
    pub density_per_angstrom3: Array1<f64>,
    /// Optional nearest-atom diagnostic columns.
    pub nearest: Option<RhorrpNearestAtomColumns>,
}

/// Bohr-unit RHORRP density data ready for FEFF text-output conversion.
#[derive(Debug, Clone)]
pub struct RhorrpDensityTextBohrInput<'a> {
    /// Grid points in Bohr as `(xyz, point)`, matching FEFF `points(3, totpts)`.
    pub points_bohr: ArrayView2<'a, f64>,
    /// Charge density in inverse cubic Bohr, matching RHORRP calculation units.
    pub density_per_bohr3: ArrayView1<'a, f64>,
    /// Optional nearest-atom diagnostic columns. Displacements remain in Bohr.
    pub nearest: Option<RhorrpNearestAtomColumns>,
}

impl RhorrpDensityTextData {
    /// Number of grid points in this density output.
    #[must_use]
    pub fn point_count(&self) -> usize {
        self.density_per_angstrom3.len()
    }

    /// Whether this output includes RHORRP nearest-atom diagnostics.
    #[must_use]
    pub fn has_nearest_atom_columns(&self) -> bool {
        self.nearest.is_some()
    }
}

/// Convert RHORRP Bohr-unit calculation output to FEFF ASCII density data.
///
/// FEFF `calculate_density` multiplies grid coordinates by `bohr`, divides
/// density by `bohr**3`, and leaves nearest-atom displacement diagnostics in
/// Bohr. The returned data can be passed to [`rhorrp_density_text_string`] or
/// [`write_rhorrp_density_text`].
pub fn rhorrp_density_text_from_bohr(
    input: RhorrpDensityTextBohrInput<'_>,
) -> Result<RhorrpDensityTextData> {
    let (coordinate_rows, point_count) = input.points_bohr.dim();
    if coordinate_rows != RHORRP_COORDINATE_COLUMNS {
        return Err(IoError::RhorrpDensityShape {
            field: "points_bohr",
            rows: coordinate_rows,
            columns: point_count,
            expected: "3xN",
        });
    }
    validate_length(
        "density_per_bohr3",
        input.density_per_bohr3.len(),
        point_count,
    )?;

    let coordinate_scale = FEFF_BOHR_ANGSTROM;
    let density_scale = 1.0 / (FEFF_BOHR_ANGSTROM * FEFF_BOHR_ANGSTROM * FEFF_BOHR_ANGSTROM);

    let mut points_angstrom = Array2::zeros((point_count, RHORRP_COORDINATE_COLUMNS));
    for point in 0..point_count {
        for coordinate in 0..RHORRP_COORDINATE_COLUMNS {
            points_angstrom[(point, coordinate)] =
                input.points_bohr[(coordinate, point)] * coordinate_scale;
        }
    }
    let density_per_angstrom3 = input
        .density_per_bohr3
        .mapv(|density| density * density_scale);

    let data = RhorrpDensityTextData {
        points_angstrom,
        density_per_angstrom3,
        nearest: input.nearest,
    };
    validate_rhorrp_density_text(&data)?;
    Ok(data)
}

/// Render FEFF-compatible RHORRP ASCII density output.
pub fn rhorrp_density_text_string(data: &RhorrpDensityTextData) -> Result<String> {
    validate_rhorrp_density_text(data)?;

    let row_capacity = if data.nearest.is_some() { 112 } else { 56 };
    let mut out = String::with_capacity(data.point_count().saturating_mul(row_capacity));
    for row in 0..data.point_count() {
        write_real_fields(
            &mut out,
            [
                data.points_angstrom[(row, 0)],
                data.points_angstrom[(row, 1)],
                data.points_angstrom[(row, 2)],
                data.density_per_angstrom3[row],
            ],
        )?;

        if let Some(nearest) = &data.nearest {
            out.push(' ');
            write_fortran_exp(&mut out, nearest.displacement_bohr[(row, 0)], 12, 5)?;
            out.push(' ');
            write_fortran_exp(&mut out, nearest.displacement_bohr[(row, 1)], 12, 5)?;
            out.push(' ');
            write_fortran_exp(&mut out, nearest.displacement_bohr[(row, 2)], 12, 5)?;
            write!(
                out,
                "  {:>2} {:>1}",
                nearest.atom_indices[row], nearest.potential_indices[row],
            )?;
        }
        writeln!(out)?;
    }

    Ok(out)
}

/// Parse FEFF RHORRP ASCII density output.
pub fn parse_rhorrp_density_text(text: &str) -> Result<RhorrpDensityTextData> {
    let mut points = Vec::new();
    let mut density = Vec::new();
    let mut displacement = Vec::new();
    let mut atom_indices = Vec::new();
    let mut potential_indices = Vec::new();
    let mut expected_width: Option<usize> = None;

    for (index, raw) in text.lines().enumerate() {
        let line_number = index + 1;
        let line = raw.trim();
        if line.is_empty() || is_comment_line(line) {
            continue;
        }

        let mut tokens = line.split_whitespace();
        points.push(parse_rhorrp_f64(
            line_number,
            "x",
            next_rhorrp_field(&mut tokens, line_number, line, "x")?,
        )?);
        points.push(parse_rhorrp_f64(
            line_number,
            "y",
            next_rhorrp_field(&mut tokens, line_number, line, "y")?,
        )?);
        points.push(parse_rhorrp_f64(
            line_number,
            "z",
            next_rhorrp_field(&mut tokens, line_number, line, "z")?,
        )?);
        density.push(parse_rhorrp_f64(
            line_number,
            "density",
            next_rhorrp_field(&mut tokens, line_number, line, "density")?,
        )?);

        let width = if let Some(dx) = tokens.next() {
            displacement.push(parse_rhorrp_f64(line_number, "dx", dx)?);
            displacement.push(parse_rhorrp_f64(
                line_number,
                "dy",
                next_rhorrp_field(&mut tokens, line_number, line, "dy")?,
            )?);
            displacement.push(parse_rhorrp_f64(
                line_number,
                "dz",
                next_rhorrp_field(&mut tokens, line_number, line, "dz")?,
            )?);
            atom_indices.push(parse_rhorrp_usize(
                line_number,
                "atom index",
                next_rhorrp_field(&mut tokens, line_number, line, "atom index")?,
            )?);
            potential_indices.push(parse_rhorrp_usize(
                line_number,
                "potential index",
                next_rhorrp_field(&mut tokens, line_number, line, "potential index")?,
            )?);
            if tokens.next().is_some() {
                return Err(IoError::RhorrpDensityRowWidth {
                    line: line_number,
                    actual: RHORRP_NEAREST_ROW_WIDTH + 1 + tokens.count(),
                    expected: "4 or 9".to_string(),
                });
            }
            RHORRP_NEAREST_ROW_WIDTH
        } else {
            RHORRP_BASIC_ROW_WIDTH
        };

        if let Some(expected) = expected_width {
            if width != expected {
                return Err(IoError::RhorrpDensityRowWidth {
                    line: line_number,
                    actual: width,
                    expected: expected.to_string(),
                });
            }
        } else {
            expected_width = Some(width);
        }
    }

    let point_count = density.len();
    let points_angstrom = Array2::from_shape_vec((point_count, RHORRP_COORDINATE_COLUMNS), points)
        .map_err(|_| IoError::InvalidRhorrpDensity {
            field: "points_angstrom",
            message: "coordinate payload did not match RHORRP table shape".to_string(),
        })?;
    let density_per_angstrom3 = Array1::from_vec(density);
    let nearest = if expected_width == Some(RHORRP_NEAREST_ROW_WIDTH) {
        Some(RhorrpNearestAtomColumns {
            displacement_bohr: Array2::from_shape_vec(
                (point_count, RHORRP_COORDINATE_COLUMNS),
                displacement,
            )
            .map_err(|_| IoError::InvalidRhorrpDensity {
                field: "displacement_bohr",
                message: "nearest-atom displacement payload did not match RHORRP table shape"
                    .to_string(),
            })?,
            atom_indices: Array1::from_vec(atom_indices),
            potential_indices: Array1::from_vec(potential_indices),
        })
    } else {
        None
    };

    let data = RhorrpDensityTextData {
        points_angstrom,
        density_per_angstrom3,
        nearest,
    };
    validate_rhorrp_density_text(&data)?;
    Ok(data)
}

/// Write FEFF RHORRP ASCII density output to a file.
pub fn write_rhorrp_density_text(
    path: impl AsRef<Path>,
    data: &RhorrpDensityTextData,
) -> Result<()> {
    let path = path.as_ref();
    std::fs::write(path, rhorrp_density_text_string(data)?)
        .map_err(|source| IoError::io(path, source))
}

/// Read FEFF RHORRP ASCII density output from a file.
pub fn read_rhorrp_density_text(path: impl AsRef<Path>) -> Result<RhorrpDensityTextData> {
    let path = path.as_ref();
    let text = std::fs::read_to_string(path).map_err(|source| IoError::io(path, source))?;
    parse_rhorrp_density_text(&text)
}

fn write_real_fields<const N: usize>(out: &mut String, values: [f64; N]) -> Result<()> {
    if let Some((first, rest)) = values.split_first() {
        write_fortran_exp(out, *first, 12, 5)?;
        for value in rest {
            out.push(' ');
            write_fortran_exp(out, *value, 12, 5)?;
        }
    }
    Ok(())
}

fn validate_rhorrp_density_text(data: &RhorrpDensityTextData) -> Result<()> {
    let (rows, columns) = data.points_angstrom.dim();
    if columns != RHORRP_COORDINATE_COLUMNS {
        return Err(IoError::RhorrpDensityShape {
            field: "points_angstrom",
            rows,
            columns,
            expected: "Nx3",
        });
    }
    validate_length(
        "density_per_angstrom3",
        data.density_per_angstrom3.len(),
        rows,
    )?;

    for (index, value) in data.points_angstrom.iter().enumerate() {
        validate_finite("points_angstrom", *value, index)?;
    }
    for (index, value) in data.density_per_angstrom3.iter().enumerate() {
        validate_finite("density_per_angstrom3", *value, index)?;
    }

    if let Some(nearest) = &data.nearest {
        let (displacement_rows, displacement_columns) = nearest.displacement_bohr.dim();
        if displacement_rows != rows || displacement_columns != RHORRP_COORDINATE_COLUMNS {
            return Err(IoError::RhorrpDensityShape {
                field: "displacement_bohr",
                rows: displacement_rows,
                columns: displacement_columns,
                expected: "Nx3 matching points_angstrom",
            });
        }
        validate_length("atom_indices", nearest.atom_indices.len(), rows)?;
        validate_length("potential_indices", nearest.potential_indices.len(), rows)?;
        for (index, value) in nearest.displacement_bohr.iter().enumerate() {
            validate_finite("displacement_bohr", *value, index)?;
        }
    }

    Ok(())
}

fn validate_length(field: &'static str, actual: usize, expected: usize) -> Result<()> {
    if actual == expected {
        Ok(())
    } else {
        Err(IoError::RhorrpDensityLength {
            field,
            actual,
            expected,
        })
    }
}

fn validate_finite(field: &'static str, value: f64, index: usize) -> Result<()> {
    if value.is_finite() {
        Ok(())
    } else {
        Err(IoError::InvalidRhorrpDensity {
            field,
            message: format!("value at index {index} is not finite: {value}"),
        })
    }
}

fn parse_rhorrp_f64(line: usize, field: &'static str, token: &str) -> Result<f64> {
    let normalized;
    let candidate = if token.contains('D') || token.contains('d') {
        normalized = token.replace(['D', 'd'], "E");
        normalized.as_str()
    } else {
        token
    };
    candidate
        .parse::<f64>()
        .map_err(|_| IoError::RhorrpDensityParse {
            field,
            line,
            token: token.to_string(),
        })
}

fn parse_rhorrp_usize(line: usize, field: &'static str, token: &str) -> Result<usize> {
    token
        .parse::<usize>()
        .map_err(|_| IoError::RhorrpDensityParse {
            field,
            line,
            token: token.to_string(),
        })
}

fn next_rhorrp_field<'a>(
    tokens: &mut SplitWhitespace<'a>,
    line: usize,
    original_line: &str,
    expected_field: &'static str,
) -> Result<&'a str> {
    tokens.next().ok_or_else(|| IoError::RhorrpDensityRowWidth {
        line,
        actual: original_line.split_whitespace().count(),
        expected: format!("4 or 9 fields including {expected_field}"),
    })
}

fn is_comment_line(line: &str) -> bool {
    matches!(line.as_bytes().first(), Some(b'#' | b'!' | b'*'))
}

#[cfg(test)]
mod tests {
    use super::*;

    const BASIC_REFERENCE: &str = concat!(
        " 0.00000E+00 -2.50000E-01  1.50000E+00  1.23457E-04\n",
        " 1.23457E+00  2.50000E-03 -9.87654E+00  2.50000E+00\n",
        "-1.20000E+01  3.33333E-01  4.20000E+00 -3.75000E-02\n",
    );

    const NEAREST_REFERENCE: &str = concat!(
        " 0.00000E+00 -2.50000E-01  1.50000E+00  1.23457E-04  1.00000E-01 -2.00000E-01  3.00000E-01   0 2\n",
        " 1.23457E+00  2.50000E-03 -9.87654E+00  2.50000E+00 -1.00000E-03  2.25000E+00 -3.50000E+00  12 0\n",
        "-1.20000E+01  3.33333E-01  4.20000E+00 -3.75000E-02  4.40000E+00 -5.50000E+00  6.60000E+00   7 5\n",
    );

    #[test]
    fn renders_basic_density_text_like_feff_reference() -> Result<()> {
        let data = reference_basic_data()?;

        assert_eq!(rhorrp_density_text_string(&data)?, BASIC_REFERENCE);

        let parsed = parse_rhorrp_density_text(BASIC_REFERENCE)?;
        assert!(!parsed.has_nearest_atom_columns());
        assert_eq!(parsed.point_count(), 3);
        assert_eq!(parsed.points_angstrom[(1, 0)], 1.23457);
        assert_eq!(parsed.density_per_angstrom3[2], -3.75e-2);
        Ok(())
    }

    #[test]
    fn renders_nearest_atom_density_text_like_feff_reference() -> Result<()> {
        let data = reference_nearest_data()?;

        assert_eq!(rhorrp_density_text_string(&data)?, NEAREST_REFERENCE);

        let parsed = parse_rhorrp_density_text(NEAREST_REFERENCE)?;
        assert_eq!(parsed.point_count(), 3);
        let Some(nearest) = parsed.nearest else {
            return Err(IoError::InvalidRhorrpDensity {
                field: "nearest",
                message: "missing nearest-atom columns".to_string(),
            });
        };
        assert_eq!(nearest.displacement_bohr[(0, 2)], 0.3);
        assert_eq!(nearest.atom_indices[1], 12);
        assert_eq!(nearest.potential_indices[2], 5);
        Ok(())
    }

    #[test]
    fn rhorrp_density_text_roundtrips_files() -> Result<()> {
        let dir = tempfile::tempdir().map_err(|source| IoError::Io {
            path: "rhorrp-density-tempdir".into(),
            source,
        })?;
        let path = dir.path().join("density.out");
        let data = reference_nearest_data()?;

        write_rhorrp_density_text(&path, &data)?;
        let parsed = read_rhorrp_density_text(&path)?;

        assert_eq!(parsed, parse_rhorrp_density_text(NEAREST_REFERENCE)?);
        Ok(())
    }

    #[test]
    fn rhorrp_density_text_rejects_bad_shapes_and_rows() {
        let bad_shape = RhorrpDensityTextData {
            points_angstrom: Array2::zeros((2, 2)),
            density_per_angstrom3: Array1::zeros(2),
            nearest: None,
        };
        assert!(matches!(
            rhorrp_density_text_string(&bad_shape),
            Err(IoError::RhorrpDensityShape {
                field: "points_angstrom",
                ..
            })
        ));

        let bad_len = RhorrpDensityTextData {
            points_angstrom: Array2::zeros((2, 3)),
            density_per_angstrom3: Array1::zeros(1),
            nearest: None,
        };
        assert!(matches!(
            rhorrp_density_text_string(&bad_len),
            Err(IoError::RhorrpDensityLength {
                field: "density_per_angstrom3",
                ..
            })
        ));

        assert!(matches!(
            parse_rhorrp_density_text("0 1 2 3\n0 1 2 3 4 5 6 7 8\n"),
            Err(IoError::RhorrpDensityRowWidth { line: 2, .. })
        ));
        assert!(matches!(
            parse_rhorrp_density_text("0 1 nope 3\n"),
            Err(IoError::RhorrpDensityParse { field: "z", .. })
        ));

        assert!(matches!(
            rhorrp_density_text_from_bohr(RhorrpDensityTextBohrInput {
                points_bohr: Array2::zeros((2, 3)).view(),
                density_per_bohr3: Array1::zeros(3).view(),
                nearest: None,
            }),
            Err(IoError::RhorrpDensityShape {
                field: "points_bohr",
                ..
            })
        ));

        assert!(matches!(
            rhorrp_density_text_from_bohr(RhorrpDensityTextBohrInput {
                points_bohr: Array2::zeros((3, 3)).view(),
                density_per_bohr3: Array1::zeros(2).view(),
                nearest: None,
            }),
            Err(IoError::RhorrpDensityLength {
                field: "density_per_bohr3",
                ..
            })
        ));
    }

    #[test]
    fn converts_bohr_density_text_like_feff_reference() -> Result<()> {
        let points_bohr = ndarray::arr2(&[[0.1, 1.5, -0.25], [-0.2, 0.0, 2.0], [0.3, 0.75, -1.0]]);
        let density_per_bohr3 = ndarray::arr1(&[0.5, 2.0, -0.125]);
        let data = rhorrp_density_text_from_bohr(RhorrpDensityTextBohrInput {
            points_bohr: points_bohr.view(),
            density_per_bohr3: density_per_bohr3.view(),
            nearest: None,
        })?;

        assert_close(data.points_angstrom[(0, 0)], 0.052_917_724_9);
        assert_close(data.points_angstrom[(0, 1)], -0.105_835_449_8);
        assert_close(data.points_angstrom[(0, 2)], 0.158_753_174_699_999_97);
        assert_close(data.points_angstrom[(1, 0)], 0.793_765_873_499_999_9);
        assert_close(data.points_angstrom[(1, 1)], 0.0);
        assert_close(data.points_angstrom[(1, 2)], 0.396_882_936_749_999_97);
        assert_close(data.points_angstrom[(2, 0)], -0.132_294_312_25);
        assert_close(data.points_angstrom[(2, 1)], 1.058_354_498);
        assert_close(data.points_angstrom[(2, 2)], -0.529_177_249);
        assert_close(data.density_per_angstrom3[0], 3.374_166_518_552_075_3);
        assert_close(data.density_per_angstrom3[1], 13.496_666_074_208_301);
        assert_close(data.density_per_angstrom3[2], -0.843_541_629_638_018_8);
        Ok(())
    }

    fn reference_basic_data() -> Result<RhorrpDensityTextData> {
        let points_angstrom = Array2::from_shape_vec(
            (3, 3),
            vec![
                0.0,
                -0.25,
                1.5,
                1.23456789,
                2.5e-3,
                -9.87654321,
                -12.0,
                0.333333333333,
                4.2,
            ],
        )
        .map_err(|_| IoError::InvalidRhorrpDensity {
            field: "points_angstrom",
            message: "test fixture has invalid coordinate shape".to_string(),
        })?;

        Ok(RhorrpDensityTextData {
            points_angstrom,
            density_per_angstrom3: Array1::from_vec(vec![1.23456789e-4, 2.5, -3.75e-2]),
            nearest: None,
        })
    }

    fn reference_nearest_data() -> Result<RhorrpDensityTextData> {
        let displacement_bohr = Array2::from_shape_vec(
            (3, 3),
            vec![0.1, -0.2, 0.3, -1.0e-3, 2.25, -3.5, 4.4, -5.5, 6.6],
        )
        .map_err(|_| IoError::InvalidRhorrpDensity {
            field: "displacement_bohr",
            message: "test fixture has invalid displacement shape".to_string(),
        })?;
        let mut data = reference_basic_data()?;
        data.nearest = Some(RhorrpNearestAtomColumns {
            displacement_bohr,
            atom_indices: Array1::from_vec(vec![0, 12, 7]),
            potential_indices: Array1::from_vec(vec![2, 0, 5]),
        });
        Ok(data)
    }

    fn assert_close(actual: f64, expected: f64) {
        assert!(
            (actual - expected).abs() <= 1.0e-14,
            "actual={actual:.17e}, expected={expected:.17e}"
        );
    }
}