scirs2-core 0.4.3

Core utilities and common functionality for SciRS2 (scirs2-core)
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
//! Auto-generated module
//!
//! 🤖 Generated with [SplitRS](https://github.com/cool-japan/splitrs)

use ndarray::{Array1, ArrayView1};

use super::functions_4::{simd_softplus_f32, simd_softplus_f64, simd_tanh_f32, simd_tanh_f64};

/// SIMD-accelerated Mish activation for f32 arrays
///
/// Computes Mish(x) = x * tanh(softplus(x)) = x * tanh(ln(1 + exp(x)))
/// This combines our SIMD softplus and tanh implementations.
///
/// # Arguments
/// * `input` - Input array
///
/// # Returns
/// * Array of Mish values
///
/// # Example
/// ```
/// use scirs2_core::simd::transcendental::simd_mish_f32;
/// use scirs2_core::ndarray::array;
///
/// let x = array![0.0f32, 1.0, -1.0];
/// let result = simd_mish_f32(&x.view());
/// assert!(result[0].abs() < 1e-6); // Mish(0) = 0
/// ```
#[allow(dead_code)]
pub fn simd_mish_f32(input: &ArrayView1<f32>) -> Array1<f32> {
    let len = input.len();
    if len == 0 {
        return Array1::zeros(0);
    }
    let softplus = simd_softplus_f32(input);
    let tanh_softplus = simd_tanh_f32(&softplus.view());
    let mut result = Vec::with_capacity(len);
    for (i, &x) in input.iter().enumerate() {
        result.push(x * tanh_softplus[i]);
    }
    Array1::from_vec(result)
}
/// SIMD-accelerated Mish for f64 arrays
#[allow(dead_code)]
pub fn simd_mish_f64(input: &ArrayView1<f64>) -> Array1<f64> {
    let len = input.len();
    if len == 0 {
        return Array1::zeros(0);
    }
    let softplus = simd_softplus_f64(input);
    let tanh_softplus = simd_tanh_f64(&softplus.view());
    let mut result = Vec::with_capacity(len);
    for (i, &x) in input.iter().enumerate() {
        result.push(x * tanh_softplus[i]);
    }
    Array1::from_vec(result)
}
/// SIMD-accelerated natural logarithm for f32 arrays
///
/// Computes ln(x) using range reduction and polynomial approximation.
/// ln(x) = ln(2^k * m) = k * ln(2) + ln(m) where 1 <= m < 2
///
/// # Arguments
/// * `input` - Input array (must be positive)
///
/// # Returns
/// * Array of ln(x) values
///
/// # Example
/// ```
/// use scirs2_core::simd::transcendental::simd_ln_f32;
/// use scirs2_core::ndarray::array;
///
/// let x = array![1.0f32, std::f32::consts::E, 10.0];
/// let result = simd_ln_f32(&x.view());
/// assert!(result[0].abs() < 1e-6); // ln(1) = 0
/// assert!((result[1] - 1.0).abs() < 1e-5); // ln(e) = 1
/// ```
#[allow(dead_code)]
pub fn simd_ln_f32(input: &ArrayView1<f32>) -> Array1<f32> {
    let len = input.len();
    if len == 0 {
        return Array1::zeros(0);
    }
    let mut result = Vec::with_capacity(len);
    #[cfg(target_arch = "x86_64")]
    {
        if is_x86_feature_detected!("avx2") {
            unsafe {
                use std::arch::x86_64::*;
                let ln_2 = _mm256_set1_ps(std::f32::consts::LN_2);
                let one = _mm256_set1_ps(1.0);
                let c1 = _mm256_set1_ps(1.0);
                let c2 = _mm256_set1_ps(-0.5);
                let c3 = _mm256_set1_ps(1.0 / 3.0);
                let c4 = _mm256_set1_ps(-0.25);
                let c5 = _mm256_set1_ps(0.2);
                let c6 = _mm256_set1_ps(-1.0 / 6.0);
                let mantissa_mask = _mm256_set1_epi32(0x007FFFFF);
                let exponent_bias = _mm256_set1_epi32(127);
                let mut i = 0;
                while i + 8 <= len {
                    let slice = &input.as_slice().expect("Operation failed")[i..i + 8];
                    let x = _mm256_loadu_ps(slice.as_ptr());
                    let x_bits = _mm256_castps_si256(x);
                    let exponent = _mm256_sub_epi32(_mm256_srli_epi32(x_bits, 23), exponent_bias);
                    let k = _mm256_cvtepi32_ps(exponent);
                    let mantissa_bits = _mm256_or_si256(
                        _mm256_and_si256(x_bits, mantissa_mask),
                        _mm256_slli_epi32(exponent_bias, 23),
                    );
                    let m = _mm256_castsi256_ps(mantissa_bits);
                    let y = _mm256_sub_ps(m, one);
                    let y2 = _mm256_mul_ps(y, y);
                    let y3 = _mm256_mul_ps(y2, y);
                    let y4 = _mm256_mul_ps(y2, y2);
                    let y5 = _mm256_mul_ps(y4, y);
                    let y6 = _mm256_mul_ps(y4, y2);
                    let mut ln_m = _mm256_mul_ps(c1, y);
                    ln_m = _mm256_add_ps(ln_m, _mm256_mul_ps(c2, y2));
                    ln_m = _mm256_add_ps(ln_m, _mm256_mul_ps(c3, y3));
                    ln_m = _mm256_add_ps(ln_m, _mm256_mul_ps(c4, y4));
                    ln_m = _mm256_add_ps(ln_m, _mm256_mul_ps(c5, y5));
                    ln_m = _mm256_add_ps(ln_m, _mm256_mul_ps(c6, y6));
                    let ln_x = _mm256_add_ps(_mm256_mul_ps(k, ln_2), ln_m);
                    let mut temp = [0.0f32; 8];
                    _mm256_storeu_ps(temp.as_mut_ptr(), ln_x);
                    result.extend_from_slice(&temp);
                    i += 8;
                }
                for j in i..len {
                    result.push(input[j].ln());
                }
                return Array1::from_vec(result);
            }
        }
    }
    #[cfg(target_arch = "aarch64")]
    {
        if std::arch::is_aarch64_feature_detected!("neon") {
            unsafe {
                use std::arch::aarch64::*;
                let ln_2 = vdupq_n_f32(std::f32::consts::LN_2);
                let one = vdupq_n_f32(1.0);
                let c1 = vdupq_n_f32(1.0);
                let c2 = vdupq_n_f32(-0.5);
                let c3 = vdupq_n_f32(1.0 / 3.0);
                let c4 = vdupq_n_f32(-0.25);
                let c5 = vdupq_n_f32(0.2);
                let c6 = vdupq_n_f32(-1.0 / 6.0);
                let mantissa_mask = vdupq_n_s32(0x007FFFFF);
                let exponent_bias = vdupq_n_s32(127);
                let mut i = 0;
                while i + 4 <= len {
                    let slice = &input.as_slice().expect("Operation failed")[i..i + 4];
                    let x = vld1q_f32(slice.as_ptr());
                    let x_bits = vreinterpretq_s32_f32(x);
                    let exponent = vsubq_s32(vshrq_n_s32(x_bits, 23), exponent_bias);
                    let k = vcvtq_f32_s32(exponent);
                    let mantissa_bits = vorrq_s32(
                        vandq_s32(x_bits, mantissa_mask),
                        vshlq_n_s32(exponent_bias, 23),
                    );
                    let m = vreinterpretq_f32_s32(mantissa_bits);
                    let y = vsubq_f32(m, one);
                    let y2 = vmulq_f32(y, y);
                    let y3 = vmulq_f32(y2, y);
                    let y4 = vmulq_f32(y2, y2);
                    let y5 = vmulq_f32(y4, y);
                    let y6 = vmulq_f32(y4, y2);
                    let mut ln_m = vmulq_f32(c1, y);
                    ln_m = vaddq_f32(ln_m, vmulq_f32(c2, y2));
                    ln_m = vaddq_f32(ln_m, vmulq_f32(c3, y3));
                    ln_m = vaddq_f32(ln_m, vmulq_f32(c4, y4));
                    ln_m = vaddq_f32(ln_m, vmulq_f32(c5, y5));
                    ln_m = vaddq_f32(ln_m, vmulq_f32(c6, y6));
                    let ln_x = vaddq_f32(vmulq_f32(k, ln_2), ln_m);
                    let mut temp = [0.0f32; 4];
                    vst1q_f32(temp.as_mut_ptr(), ln_x);
                    result.extend_from_slice(&temp);
                    i += 4;
                }
                for j in i..len {
                    result.push(input[j].ln());
                }
                return Array1::from_vec(result);
            }
        }
    }
    for &x in input.iter() {
        result.push(x.ln());
    }
    Array1::from_vec(result)
}
/// SIMD-accelerated natural logarithm for f64 arrays
#[allow(dead_code)]
pub fn simd_ln_f64(input: &ArrayView1<f64>) -> Array1<f64> {
    let len = input.len();
    if len == 0 {
        return Array1::zeros(0);
    }
    let mut result = Vec::with_capacity(len);
    #[cfg(target_arch = "x86_64")]
    {
        if is_x86_feature_detected!("avx2") {
            unsafe {
                use std::arch::x86_64::*;
                let ln_2 = _mm256_set1_pd(std::f64::consts::LN_2);
                let one = _mm256_set1_pd(1.0);
                let c1 = _mm256_set1_pd(1.0);
                let c2 = _mm256_set1_pd(-0.5);
                let c3 = _mm256_set1_pd(1.0 / 3.0);
                let c4 = _mm256_set1_pd(-0.25);
                let c5 = _mm256_set1_pd(0.2);
                let c6 = _mm256_set1_pd(-1.0 / 6.0);
                let c7 = _mm256_set1_pd(1.0 / 7.0);
                let c8 = _mm256_set1_pd(-0.125);
                let mut i = 0;
                while i + 4 <= len {
                    let slice = &input.as_slice().expect("Operation failed")[i..i + 4];
                    let x = _mm256_loadu_pd(slice.as_ptr());
                    let mut x_arr = [0.0f64; 4];
                    _mm256_storeu_pd(x_arr.as_mut_ptr(), x);
                    let mut k_arr = [0.0f64; 4];
                    let mut m_arr = [0.0f64; 4];
                    for j in 0..4 {
                        let bits = x_arr[j].to_bits();
                        let exp = ((bits >> 52) & 0x7FF) as i64 - 1023;
                        k_arr[j] = exp as f64;
                        let mantissa_bits = (bits & 0x000FFFFFFFFFFFFF) | (1023u64 << 52);
                        m_arr[j] = f64::from_bits(mantissa_bits);
                    }
                    let k = _mm256_loadu_pd(k_arr.as_ptr());
                    let m = _mm256_loadu_pd(m_arr.as_ptr());
                    let y = _mm256_sub_pd(m, one);
                    let y2 = _mm256_mul_pd(y, y);
                    let y3 = _mm256_mul_pd(y2, y);
                    let y4 = _mm256_mul_pd(y2, y2);
                    let y5 = _mm256_mul_pd(y4, y);
                    let y6 = _mm256_mul_pd(y4, y2);
                    let y7 = _mm256_mul_pd(y6, y);
                    let y8 = _mm256_mul_pd(y4, y4);
                    let mut ln_m = _mm256_mul_pd(c1, y);
                    ln_m = _mm256_add_pd(ln_m, _mm256_mul_pd(c2, y2));
                    ln_m = _mm256_add_pd(ln_m, _mm256_mul_pd(c3, y3));
                    ln_m = _mm256_add_pd(ln_m, _mm256_mul_pd(c4, y4));
                    ln_m = _mm256_add_pd(ln_m, _mm256_mul_pd(c5, y5));
                    ln_m = _mm256_add_pd(ln_m, _mm256_mul_pd(c6, y6));
                    ln_m = _mm256_add_pd(ln_m, _mm256_mul_pd(c7, y7));
                    ln_m = _mm256_add_pd(ln_m, _mm256_mul_pd(c8, y8));
                    let ln_x = _mm256_add_pd(_mm256_mul_pd(k, ln_2), ln_m);
                    let mut temp = [0.0f64; 4];
                    _mm256_storeu_pd(temp.as_mut_ptr(), ln_x);
                    result.extend_from_slice(&temp);
                    i += 4;
                }
                for j in i..len {
                    result.push(input[j].ln());
                }
                return Array1::from_vec(result);
            }
        }
    }
    #[cfg(target_arch = "aarch64")]
    {
        if std::arch::is_aarch64_feature_detected!("neon") {
            for &x in input.iter() {
                result.push(x.ln());
            }
            return Array1::from_vec(result);
        }
    }
    for &x in input.iter() {
        result.push(x.ln());
    }
    Array1::from_vec(result)
}
/// SIMD-accelerated sine for f32 arrays
///
/// Computes sin(x) using range reduction and polynomial approximation.
/// Range reduction: reduce x to [-π/2, π/2] using periodicity.
/// Then use Taylor series: sin(x) ≈ x - x³/6 + x⁵/120 - x⁷/5040
///
/// # Arguments
/// * `input` - Input array (radians)
///
/// # Returns
/// * Array of sin(x) values in range [-1, 1]
///
/// # Example
/// ```
/// use scirs2_core::simd::transcendental::simd_sin_f32;
/// use scirs2_core::ndarray::array;
///
/// let x = array![0.0f32, std::f32::consts::PI / 2.0, std::f32::consts::PI];
/// let result = simd_sin_f32(&x.view());
/// assert!(result[0].abs() < 1e-6); // sin(0) = 0
/// assert!((result[1] - 1.0).abs() < 1e-5); // sin(π/2) = 1
/// ```
#[allow(dead_code)]
pub fn simd_sin_f32(input: &ArrayView1<f32>) -> Array1<f32> {
    let len = input.len();
    if len == 0 {
        return Array1::zeros(0);
    }
    let mut result = Vec::with_capacity(len);
    const FRAC_1_PI: f32 = std::f32::consts::FRAC_1_PI;
    const PI: f32 = std::f32::consts::PI;
    #[cfg(target_arch = "x86_64")]
    {
        if is_x86_feature_detected!("avx2") {
            unsafe {
                use std::arch::x86_64::*;
                let pi = _mm256_set1_ps(PI);
                let two_pi = _mm256_set1_ps(2.0 * PI);
                let pi_over_2 = _mm256_set1_ps(PI / 2.0);
                let one = _mm256_set1_ps(1.0);
                let neg_one = _mm256_set1_ps(-1.0);
                let c1 = _mm256_set1_ps(1.0);
                let c3 = _mm256_set1_ps(-1.0 / 6.0);
                let c5 = _mm256_set1_ps(1.0 / 120.0);
                let c7 = _mm256_set1_ps(-1.0 / 5040.0);
                let c9 = _mm256_set1_ps(1.0 / 362880.0);
                let mut i = 0;
                while i + 8 <= len {
                    let slice = &input.as_slice().expect("Operation failed")[i..i + 8];
                    let mut x = _mm256_loadu_ps(slice.as_ptr());
                    let k = _mm256_round_ps(
                        _mm256_mul_ps(x, _mm256_set1_ps(FRAC_1_PI / 2.0)),
                        _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC,
                    );
                    x = _mm256_sub_ps(x, _mm256_mul_ps(k, two_pi));
                    let mask_gt_pi_2 = _mm256_cmp_ps(x, pi_over_2, _CMP_GT_OQ);
                    let mask_lt_neg_pi_2 =
                        _mm256_cmp_ps(x, _mm256_sub_ps(_mm256_setzero_ps(), pi_over_2), _CMP_LT_OQ);
                    let x_reduced_high = _mm256_sub_ps(pi, x);
                    x = _mm256_blendv_ps(x, x_reduced_high, mask_gt_pi_2);
                    let x_reduced_low = _mm256_sub_ps(_mm256_sub_ps(_mm256_setzero_ps(), pi), x);
                    x = _mm256_blendv_ps(x, x_reduced_low, mask_lt_neg_pi_2);
                    let x2 = _mm256_mul_ps(x, x);
                    let x3 = _mm256_mul_ps(x2, x);
                    let x5 = _mm256_mul_ps(x3, x2);
                    let x7 = _mm256_mul_ps(x5, x2);
                    let x9 = _mm256_mul_ps(x7, x2);
                    let mut sin_x = _mm256_mul_ps(c1, x);
                    sin_x = _mm256_add_ps(sin_x, _mm256_mul_ps(c3, x3));
                    sin_x = _mm256_add_ps(sin_x, _mm256_mul_ps(c5, x5));
                    sin_x = _mm256_add_ps(sin_x, _mm256_mul_ps(c7, x7));
                    sin_x = _mm256_add_ps(sin_x, _mm256_mul_ps(c9, x9));
                    sin_x = _mm256_max_ps(sin_x, neg_one);
                    sin_x = _mm256_min_ps(sin_x, one);
                    let mut temp = [0.0f32; 8];
                    _mm256_storeu_ps(temp.as_mut_ptr(), sin_x);
                    result.extend_from_slice(&temp);
                    i += 8;
                }
                for j in i..len {
                    result.push(input[j].sin());
                }
                return Array1::from_vec(result);
            }
        }
    }
    #[cfg(target_arch = "aarch64")]
    {
        if std::arch::is_aarch64_feature_detected!("neon") {
            unsafe {
                use std::arch::aarch64::*;
                let pi = vdupq_n_f32(PI);
                let two_pi = vdupq_n_f32(2.0 * PI);
                let pi_over_2 = vdupq_n_f32(PI / 2.0);
                let neg_pi_over_2 = vdupq_n_f32(-PI / 2.0);
                let zero = vdupq_n_f32(0.0);
                let one = vdupq_n_f32(1.0);
                let neg_one = vdupq_n_f32(-1.0);
                let c1 = vdupq_n_f32(1.0);
                let c3 = vdupq_n_f32(-1.0 / 6.0);
                let c5 = vdupq_n_f32(1.0 / 120.0);
                let c7 = vdupq_n_f32(-1.0 / 5040.0);
                let c9 = vdupq_n_f32(1.0 / 362880.0);
                let mut i = 0;
                while i + 4 <= len {
                    let slice = &input.as_slice().expect("Operation failed")[i..i + 4];
                    let mut x = vld1q_f32(slice.as_ptr());
                    let k = vrndnq_f32(vmulq_f32(x, vdupq_n_f32(FRAC_1_PI / 2.0)));
                    x = vsubq_f32(x, vmulq_f32(k, two_pi));
                    let mask_gt_pi_2 = vcgtq_f32(x, pi_over_2);
                    let mask_lt_neg_pi_2 = vcltq_f32(x, neg_pi_over_2);
                    let x_reduced_high = vsubq_f32(pi, x);
                    x = vbslq_f32(mask_gt_pi_2, x_reduced_high, x);
                    let x_reduced_low = vsubq_f32(vsubq_f32(zero, pi), x);
                    x = vbslq_f32(mask_lt_neg_pi_2, x_reduced_low, x);
                    let x2 = vmulq_f32(x, x);
                    let x3 = vmulq_f32(x2, x);
                    let x5 = vmulq_f32(x3, x2);
                    let x7 = vmulq_f32(x5, x2);
                    let x9 = vmulq_f32(x7, x2);
                    let mut sin_x = vmulq_f32(c1, x);
                    sin_x = vaddq_f32(sin_x, vmulq_f32(c3, x3));
                    sin_x = vaddq_f32(sin_x, vmulq_f32(c5, x5));
                    sin_x = vaddq_f32(sin_x, vmulq_f32(c7, x7));
                    sin_x = vaddq_f32(sin_x, vmulq_f32(c9, x9));
                    sin_x = vmaxq_f32(sin_x, neg_one);
                    sin_x = vminq_f32(sin_x, one);
                    let mut temp = [0.0f32; 4];
                    vst1q_f32(temp.as_mut_ptr(), sin_x);
                    result.extend_from_slice(&temp);
                    i += 4;
                }
                for j in i..len {
                    result.push(input[j].sin());
                }
                return Array1::from_vec(result);
            }
        }
    }
    for &x in input.iter() {
        result.push(x.sin());
    }
    Array1::from_vec(result)
}