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
//! This crate provides types related to JPEG XL image headers, such as
//! [image size information][SizeHeader], [color encoding][ColourEncoding] and
//! [animation TPS (ticks per second) information][AnimationHeader]. Most of the information is in
//! the [`ImageMetadata`] struct.
//!
//! Image header is at the beginning of the bitstream. One can parse [`ImageHeader`] from the
//! bitstream to retrieve information about the image.
use jxl_bitstream::{define_bundle, read_bits, Bitstream, Bundle, Name, Result};
use jxl_color::header::*;

/// JPEG XL image header.
///
/// Use [`Bundle::parse`] to parse the header.
#[derive(Debug)]
pub struct ImageHeader {
    /// Image size information.
    pub size: SizeHeader,
    /// Image metadata.
    pub metadata: ImageMetadata,
}

impl<Ctx> Bundle<Ctx> for ImageHeader {
    type Error = jxl_bitstream::Error;

    fn parse(bitstream: &mut Bitstream, _: Ctx) -> Result<Self> {
        let signature = bitstream.read_bits(16)?;
        if signature != 0xaff {
            return Err(jxl_bitstream::Error::ValidationFailed(
                "JPEG XL signature mismatch",
            ));
        }

        let size = SizeHeader::parse(bitstream, ())?;
        let metadata = ImageMetadata::parse(bitstream, ())?;

        if metadata.ec_info.len() > 256 {
            tracing::error!(num_extra = metadata.ec_info.len(), "num_extra too large");
            return Err(jxl_bitstream::Error::ProfileConformance(
                "num_extra too large",
            ));
        }

        let tone_mapping = &metadata.tone_mapping;
        if tone_mapping.intensity_target <= 0.0 {
            return Err(jxl_bitstream::Error::ValidationFailed(
                "Invalid intensity target",
            ));
        }
        if tone_mapping.min_nits < 0.0 || tone_mapping.min_nits > tone_mapping.intensity_target {
            return Err(jxl_bitstream::Error::ValidationFailed(
                "Invalid tone mapping min_nits",
            ));
        }
        if tone_mapping.linear_below < 0.0
            || (tone_mapping.relative_to_max_display && tone_mapping.linear_below > 1.0)
        {
            return Err(jxl_bitstream::Error::ValidationFailed(
                "Invalid tone mapping linear_below",
            ));
        }

        Ok(Self { size, metadata })
    }
}

impl ImageHeader {
    /// Returns the image width with orientation applied.
    #[inline]
    pub fn width_with_orientation(&self) -> u32 {
        self.metadata
            .apply_orientation(self.size.width, self.size.height, 0, 0, false)
            .0
    }

    /// Returns the image height with orientation applied.
    #[inline]
    pub fn height_with_orientation(&self) -> u32 {
        self.metadata
            .apply_orientation(self.size.width, self.size.height, 0, 0, false)
            .1
    }
}

define_bundle! {
    /// Image size information.
    #[derive(Debug)]
    pub struct SizeHeader {
        div8: ty(Bool) default(false),
        h_div8: ty(1 + u(5)) cond(div8) default(0),
        /// Image height.
        pub height:
            ty(U32(1 + u(9), 1 + u(13), 1 + u(18), 1 + u(30))) cond(!div8)
            default(8 * h_div8),
        ratio: ty(u(3)) default(0),
        w_div8: ty(1 + u(5)) cond(div8 && ratio == 0) default(0),
        /// Image width.
        pub width:
            ty(U32(1 + u(9), 1 + u(13), 1 + u(18), 1 + u(30))) cond(!div8 && ratio == 0)
            default(SizeHeader::compute_default_width(ratio, w_div8, height)),
    }
}

impl SizeHeader {
    fn compute_default_width(ratio: u32, w_div8: u32, height: u32) -> u32 {
        let height = height as u64;
        let res = match ratio {
            0 => 8 * w_div8 as u64,
            1 => height,
            2 => height * 12 / 10,
            3 => height * 4 / 3,
            4 => height * 3 / 2,
            5 => height * 16 / 9,
            6 => height * 5 / 4,
            7 => height * 2,
            _ => panic!("Invalid ratio const: {}", ratio),
        };
        res as u32
    }
}

define_bundle! {
    /// Image metadata.
    #[derive(Debug)]
    pub struct ImageMetadata {
        all_default: ty(Bool) default(true),
        extra_fields: ty(Bool) cond(!all_default) default(false),
        /// Value representing image orientation.
        pub orientation: ty(1 + u(3)) cond(extra_fields) default(1),
        have_intr_size: ty(Bool) cond(extra_fields) default(false),
        /// Recommended size to display the image.
        pub intrinsic_size: ty(Bundle(Option<SizeHeader>)) cond(have_intr_size),
        have_preview: ty(Bool) cond(extra_fields) default(false),
        /// Size information of the preview frame, if there is any.
        pub preview: ty(Bundle(Option<PreviewHeader>)) cond(have_preview),
        have_animation: ty(Bool) cond(extra_fields) default(false),
        /// Information about the animation such as TPS, if the image is animated.
        pub animation: ty(Bundle(Option<AnimationHeader>)) cond(have_animation),
        /// Bit depth information, which is used to parse Modular image samples.
        pub bit_depth: ty(Bundle(BitDepth)) cond(!all_default),
        /// Whether 16-bit buffer is sufficient to correctly parse Modular images.
        pub modular_16bit_buffers: ty(Bool) cond(!all_default) default(true),
        num_extra: ty(U32(0, 1, 2 + u(4), 1 + u(12))) cond(!all_default) default(0),
        /// Information about extra channels, such as alpha and black channels.
        pub ec_info: ty(Vec[Bundle(ExtraChannelInfo)]; num_extra) cond(!all_default),
        /// Whether the image is encoded in XYB color space.
        pub xyb_encoded: ty(Bool) cond(!all_default) default(true),
        /// Color encoding of the image.
        ///
        /// If `xyb_encoded` is `true`, this is a suggestion of the color space to present the
        /// decoded image. If it's not, the decoded image is in the color space represented by this
        /// field.
        pub colour_encoding: ty(Bundle(ColourEncoding)) cond(!all_default),
        /// Tone mapping information, which is used to map HDR images to SDR.
        pub tone_mapping: ty(Bundle(ToneMapping)) cond(extra_fields),
        pub extensions: ty(Bundle(Extensions)) cond(!all_default),
        default_m: ty(Bool),
        /// Opsin inverse matrix, which is used to transform XYB encoded image to sRGB color space.
        pub opsin_inverse_matrix: ty(Bundle(OpsinInverseMatrix)) cond(!default_m && xyb_encoded),
        cw_mask: ty(u(3)) cond(!default_m) default(0),
        /// 2x upsampling weights.
        pub up2_weight: ty(Array[F16]; 15) cond(cw_mask & 1 != 0) default(Self::D_UP2),
        /// 4x upsampling weights.
        pub up4_weight: ty(Array[F16]; 55) cond(cw_mask & 2 != 0) default(Self::D_UP4),
        /// 8x upsampling weights.
        pub up8_weight: ty(Array[F16]; 210) cond(cw_mask & 4 != 0) default(Self::D_UP8),
    }

    #[derive(Debug)]
    pub struct PreviewHeader {
        div8: ty(Bool),
        h_div8: ty(U32(16, 32, 1 + u(5), 33 + u(9))) cond(div8) default(1),
        /// Height of the preview image.
        pub height:
            ty(U32(1 + u(6), 65 + u(8), 321 + u(10), 1345 + u(12))) cond(!div8)
            default(8 * h_div8),
        ratio: ty(u(3)),
        w_div8: ty(U32(16, 32, 1 + u(5), 33 + u(9))) cond(div8) default(1),
        /// Width of the preview image.
        pub width:
            ty(U32(1 + u(6), 65 + u(8), 321 + u(10), 1345 + u(12))) cond(!div8)
            default(SizeHeader::compute_default_width(ratio, w_div8, height)),
    }

    /// Animation information.
    ///
    /// TPS (ticks per second) is computed as `tps_numerator / tps_denominator`, which means
    /// `tps_denominator / tps_numerator` seconds per tick.
    #[derive(Debug)]
    pub struct AnimationHeader {
        /// TPS numerator.
        pub tps_numerator: ty(U32(100, 1000, 1 + u(10), 1 + u(30))) default(0),
        /// TPS denominator.
        pub tps_denominator: ty(U32(1, 1001, 1 + u(8), 1 + u(10))) default(0),
        /// Number of loops, where 0 means it loops forever.
        pub num_loops: ty(U32(0, u(3), u(16), u(32))) default(0),
        /// Whether keyframes in the image has their timecodes embedded.
        pub have_timecodes: ty(Bool) default(false),
    }
}

#[derive(Debug, Default)]
#[allow(unused)]
pub struct Extensions {
    extension_bits: u64,
}

impl<Ctx> Bundle<Ctx> for Extensions {
    type Error = jxl_bitstream::Error;

    fn parse(bitstream: &mut Bitstream, _: Ctx) -> jxl_bitstream::Result<Self> {
        let extension_bits = bitstream.read_u64()?;
        let mut bits = extension_bits;
        let mut extension_data_bitlen = Vec::with_capacity(extension_bits.count_ones() as usize);
        for extension_idx in 0..64 {
            if bits & 1 != 0 {
                tracing::warn!(extension_idx, "Unknown extension");
                extension_data_bitlen.push(bitstream.read_u64()?);
            }
            bits >>= 1;
        }

        for len in extension_data_bitlen {
            bitstream.skip_bits(len as usize)?;
        }

        Ok(Self { extension_bits })
    }
}

impl ImageMetadata {
    /// Returns whether the image is grayscale.
    #[inline]
    pub fn grayscale(&self) -> bool {
        self.colour_encoding.colour_space() == ColourSpace::Grey
    }

    /// Returns the index of the first alpha channel in the image.
    pub fn alpha(&self) -> Option<usize> {
        self.ec_info
            .iter()
            .position(|info| matches!(info.ty, ExtraChannelType::Alpha { .. }))
    }

    /// Returns where the given coordinate will be placed after the orientation is applied.
    #[inline]
    pub fn apply_orientation(
        &self,
        width: u32,
        height: u32,
        left: i32,
        top: i32,
        inverse: bool,
    ) -> (u32, u32, i32, i32) {
        let (left, top) = match self.orientation {
            1 => (left, top),
            2 => (width as i32 - left - 1, top),
            3 => (width as i32 - left - 1, height as i32 - top - 1),
            4 => (left, height as i32 - top - 1),
            5 => (top, left),
            6 if inverse => (top, width as i32 - left - 1),
            6 => (height as i32 - top - 1, left),
            7 => (height as i32 - top - 1, width as i32 - left - 1),
            8 if inverse => (height as i32 - top - 1, left),
            8 => (top, width as i32 - left - 1),
            _ => unreachable!(),
        };
        let (width, height) = match self.orientation {
            1..=4 => (width, height),
            5..=8 => (height, width),
            _ => unreachable!(),
        };
        (width, height, left, top)
    }
}

/// Information about an extra channel.
#[derive(Debug, Default, Clone)]
pub struct ExtraChannelInfo {
    /// Type and associated parameters of the channel.
    pub ty: ExtraChannelType,
    /// Bit depth information about the channel.
    pub bit_depth: BitDepth,
    /// `dim_shift` used to decode Modular image.
    pub dim_shift: u32,
    /// Name of the channel.
    pub name: Name,
}

impl<Ctx> Bundle<Ctx> for ExtraChannelInfo {
    type Error = jxl_bitstream::Error;

    fn parse(bitstream: &mut Bitstream, _: Ctx) -> Result<Self> {
        let default_alpha_channel = bitstream.read_bool()?;
        if default_alpha_channel {
            return Ok(Self::default());
        }

        let ty_id = read_bits!(bitstream, Enum(ExtraChannelTypeRaw))?;
        let bit_depth = BitDepth::parse(bitstream, ())?;
        let dim_shift = read_bits!(bitstream, U32(0, 3, 4, 1 + u(3)))?;
        let name = Name::parse(bitstream, ())?;

        let ty = match ty_id {
            ExtraChannelTypeRaw::Alpha => ExtraChannelType::Alpha {
                alpha_associated: bitstream.read_bool()?,
            },
            ExtraChannelTypeRaw::Depth => ExtraChannelType::Depth,
            ExtraChannelTypeRaw::SpotColour => ExtraChannelType::SpotColour {
                red: bitstream.read_f16_as_f32()?,
                green: bitstream.read_f16_as_f32()?,
                blue: bitstream.read_f16_as_f32()?,
                solidity: bitstream.read_f16_as_f32()?,
            },
            ExtraChannelTypeRaw::SelectionMask => ExtraChannelType::SelectionMask,
            ExtraChannelTypeRaw::Black => ExtraChannelType::Black,
            ExtraChannelTypeRaw::Cfa => ExtraChannelType::Cfa {
                cfa_channel: read_bits!(bitstream, U32(1, u(2), 3 + u(4), 19 + u(8)))?,
            },
            ExtraChannelTypeRaw::Thermal => ExtraChannelType::Thermal,
            ExtraChannelTypeRaw::NonOptional => ExtraChannelType::NonOptional,
            ExtraChannelTypeRaw::Optional => ExtraChannelType::Optional,
        };

        Ok(Self {
            ty,
            bit_depth,
            dim_shift,
            name,
        })
    }
}

impl ExtraChannelInfo {
    /// Returns whether this is an alpha channel.
    #[inline]
    pub fn is_alpha(&self) -> bool {
        matches!(self.ty, ExtraChannelType::Alpha { .. })
    }

    /// Returns whether the alpha channel has premultiplied semantics.
    #[inline]
    pub fn alpha_associated(&self) -> Option<bool> {
        if let ExtraChannelType::Alpha { alpha_associated } = self.ty {
            Some(alpha_associated)
        } else {
            None
        }
    }

    /// Returns whether this is a black channel of a CMYK image.
    #[inline]
    pub fn is_black(&self) -> bool {
        self.ty == ExtraChannelType::Black
    }
}

/// Type of an extra channel.
#[derive(Debug, PartialEq, Copy, Clone)]
#[repr(u8)]
pub enum ExtraChannelType {
    Alpha {
        alpha_associated: bool,
    } = 0,
    Depth,
    SpotColour {
        red: f32,
        green: f32,
        blue: f32,
        solidity: f32,
    },
    SelectionMask,
    Black,
    Cfa {
        cfa_channel: u32,
    },
    Thermal,
    NonOptional = 15,
    Optional,
}

impl Default for ExtraChannelType {
    fn default() -> Self {
        Self::Alpha {
            alpha_associated: false,
        }
    }
}

#[derive(Debug, Copy, Clone, PartialEq, Eq, Hash)]
#[repr(u8)]
enum ExtraChannelTypeRaw {
    Alpha = 0,
    Depth,
    SpotColour,
    SelectionMask,
    Black,
    Cfa,
    Thermal,
    NonOptional = 15,
    Optional,
}

impl TryFrom<u32> for ExtraChannelTypeRaw {
    type Error = ();

    fn try_from(value: u32) -> std::result::Result<Self, Self::Error> {
        Ok(match value {
            0 => Self::Alpha,
            1 => Self::Depth,
            2 => Self::SpotColour,
            3 => Self::SelectionMask,
            4 => Self::Black,
            5 => Self::Cfa,
            6 => Self::Thermal,
            15 => Self::NonOptional,
            16 => Self::Optional,
            _ => return Err(()),
        })
    }
}

/// Bit depth information.
#[derive(Debug, Copy, Clone)]
pub enum BitDepth {
    /// Modular image samples represent integer values, where the range
    /// `0..=(1 << bits_per_sample) - 1` corresponds to \[0.0, 1.0\], scaled linearly.
    ///
    /// The value outside of the \[0.0, 1.0\] range is *not* clamped.
    IntegerSample { bits_per_sample: u32 },
    /// Modular image samples represent bitcast of floating point values with a sign bit,
    /// `exp_bits` exponential bits, and the remaining mantissa bits.
    FloatSample { bits_per_sample: u32, exp_bits: u32 },
}

impl Default for BitDepth {
    fn default() -> Self {
        Self::IntegerSample { bits_per_sample: 8 }
    }
}

impl BitDepth {
    #[inline]
    pub fn bits_per_sample(self) -> u32 {
        match self {
            Self::IntegerSample { bits_per_sample } => bits_per_sample,
            Self::FloatSample {
                bits_per_sample, ..
            } => bits_per_sample,
        }
    }

    /// Parses the given Modular image sample to an `f32`.
    #[inline]
    pub fn parse_integer_sample(self, sample: i32) -> f32 {
        match self {
            Self::IntegerSample { bits_per_sample } => {
                let div = (1i32 << bits_per_sample) - 1;
                sample as f32 / div as f32
            }
            Self::FloatSample {
                bits_per_sample,
                exp_bits,
            } => {
                let sample = sample as u32;
                let mantissa_bits = bits_per_sample - exp_bits - 1;
                let mantissa_mask = (1u32 << mantissa_bits) - 1;
                let exp_mask = ((1u32 << (bits_per_sample - 1)) - 1) ^ mantissa_mask;

                let is_signed = (sample & (1u32 << (bits_per_sample - 1))) != 0;
                let mantissa = sample & mantissa_mask;
                let exp = ((sample & exp_mask) >> mantissa_bits) as i32;
                let exp = exp - ((1 << (exp_bits - 1)) - 1);

                // TODO: handle subnormal values.
                let f32_mantissa_bits = f32::MANTISSA_DIGITS - 1;
                let mantissa = match mantissa_bits.cmp(&f32_mantissa_bits) {
                    std::cmp::Ordering::Less => mantissa << (f32_mantissa_bits - mantissa_bits),
                    std::cmp::Ordering::Greater => mantissa >> (mantissa_bits - f32_mantissa_bits),
                    _ => mantissa,
                };
                let exp = (exp + 127) as u32;
                let sign = is_signed as u32;

                let bits = (sign << 31) | (exp << f32_mantissa_bits) | mantissa;
                f32::from_bits(bits)
            }
        }
    }
}

impl<Ctx> Bundle<Ctx> for BitDepth {
    type Error = jxl_bitstream::Error;

    fn parse(bitstream: &mut Bitstream, _ctx: Ctx) -> Result<Self> {
        if bitstream.read_bool()? {
            // float_sample
            let bits_per_sample = read_bits!(bitstream, U32(32, 16, 24, 1 + u(6)))?;
            let exp_bits = read_bits!(bitstream, 1 + u(4))?;
            if !(2..=8).contains(&exp_bits) {
                return Err(jxl_bitstream::Error::ValidationFailed(
                    "Invalid exp_bits per float sample",
                ));
            }
            let mantissa_bits = bits_per_sample.wrapping_sub(exp_bits + 1);
            if !(2..=23).contains(&mantissa_bits) {
                return Err(jxl_bitstream::Error::ValidationFailed(
                    "Invalid mantissa_bits per float sample",
                ));
            }
            Ok(Self::FloatSample {
                bits_per_sample,
                exp_bits,
            })
        } else {
            let bits_per_sample = read_bits!(bitstream, U32(8, 10, 12, 1 + u(6)))?;
            if bits_per_sample > 31 {
                return Err(jxl_bitstream::Error::ValidationFailed(
                    "Invalid bits_per_sample",
                ));
            }
            Ok(Self::IntegerSample { bits_per_sample })
        }
    }
}

#[allow(clippy::excessive_precision)]
#[rustfmt::skip]
impl ImageMetadata {
    const D_UP2: [f32; 15] = [
        -0.01716200, -0.03452303, -0.04022174, -0.02921014, -0.00624645,
        0.14111091, 0.28896755, 0.00278718, -0.01610267, 0.56661550,
        0.03777607, -0.01986694, -0.03144731, -0.01185068, -0.00213539,
    ];
    const D_UP4: [f32; 55] = [
        -0.02419067, -0.03491987, -0.03693351, -0.03094285, -0.00529785,
        -0.01663432, -0.03556863, -0.03888905, -0.03516850, -0.00989469,
        0.23651958, 0.33392945, -0.01073543, -0.01313181, -0.03556694,
        0.13048175, 0.40103025, 0.03951150, -0.02077584, 0.46914198,
        -0.00209270, -0.01484589, -0.04064806, 0.18942530, 0.56279892,
        0.06674400, -0.02335494, -0.03551682, -0.00754830, -0.02267919,
        -0.02363578, 0.00315804, -0.03399098, -0.01359519, -0.00091653,
        -0.00335467, -0.01163294, -0.01610294, -0.00974088, -0.00191622,
        -0.01095446, -0.03198464, -0.04455121, -0.02799790, -0.00645912,
        0.06390599, 0.22963888, 0.00630981, -0.01897349, 0.67537268,
        0.08483369, -0.02534994, -0.02205197, -0.01667999, -0.00384443,
    ];
    const D_UP8: [f32; 210] = [
        -0.02928613, -0.03706353, -0.03783812, -0.03324558, -0.00447632,
        -0.02519406, -0.03752601, -0.03901508, -0.03663285, -0.00646649,
        -0.02066407, -0.03838633, -0.04002101, -0.03900035, -0.00901973,
        -0.01626393, -0.03954148, -0.04046620, -0.03979621, -0.01224485,
        0.29895328, 0.35757708, -0.02447552, -0.01081748, -0.04314594,
        0.23903219, 0.41119301, -0.00573046, -0.01450239, -0.04246845,
        0.17567618, 0.45220643, 0.02287757, -0.01936783, -0.03583255,
        0.11572472, 0.47416733, 0.06284440, -0.02685066, 0.42720050,
        -0.02248939, -0.01155273, -0.04562755, 0.28689496, 0.49093869,
        -0.00007891, -0.01545926, -0.04562659, 0.21238920, 0.53980934,
        0.03369474, -0.02070211, -0.03866988, 0.14229550, 0.56593398,
        0.08045181, -0.02888298, -0.03680918, -0.00542229, -0.02920477,
        -0.02788574, -0.02118180, -0.03942402, -0.00775547, -0.02433614,
        -0.03193943, -0.02030828, -0.04044014, -0.01074016, -0.01930822,
        -0.03620399, -0.01974125, -0.03919545, -0.01456093, -0.00045072,
        -0.00360110, -0.01020207, -0.01231907, -0.00638988, -0.00071592,
        -0.00279122, -0.00957115, -0.01288327, -0.00730937, -0.00107783,
        -0.00210156, -0.00890705, -0.01317668, -0.00813895, -0.00153491,
        -0.02128481, -0.04173044, -0.04831487, -0.03293190, -0.00525260,
        -0.01720322, -0.04052736, -0.05045706, -0.03607317, -0.00738030,
        -0.01341764, -0.03965629, -0.05151616, -0.03814886, -0.01005819,
        0.18968273, 0.33063684, -0.01300105, -0.01372950, -0.04017465,
        0.13727832, 0.36402234, 0.01027890, -0.01832107, -0.03365072,
        0.08734506, 0.38194295, 0.04338228, -0.02525993, 0.56408126,
        0.00458352, -0.01648227, -0.04887868, 0.24585519, 0.62026135,
        0.04314807, -0.02213737, -0.04158014, 0.16637289, 0.65027023,
        0.09621636, -0.03101388, -0.04082742, -0.00904519, -0.02790922,
        -0.02117818, 0.00798662, -0.03995711, -0.01243427, -0.02231705,
        -0.02946266, 0.00992055, -0.03600283, -0.01684920, -0.00111684,
        -0.00411204, -0.01297130, -0.01723725, -0.01022545, -0.00165306,
        -0.00313110, -0.01218016, -0.01763266, -0.01125620, -0.00231663,
        -0.01374149, -0.03797620, -0.05142937, -0.03117307, -0.00581914,
        -0.01064003, -0.03608089, -0.05272168, -0.03375670, -0.00795586,
        0.09628104, 0.27129991, -0.00353779, -0.01734151, -0.03153981,
        0.05686230, 0.28500998, 0.02230594, -0.02374955, 0.68214326,
        0.05018048, -0.02320852, -0.04383616, 0.18459474, 0.71517975,
        0.10805613, -0.03263677, -0.03637639, -0.01394373, -0.02511203,
        -0.01728636, 0.05407331, -0.02867568, -0.01893131, -0.00240854,
        -0.00446511, -0.01636187, -0.02377053, -0.01522848, -0.00333334,
        -0.00819975, -0.02964169, -0.04499287, -0.02745350, -0.00612408,
        0.02727416, 0.19446600, 0.00159832, -0.02232473, 0.74982506,
        0.11452620, -0.03348048, -0.01605681, -0.02070339, -0.00458223,
    ];
}