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1 // Copyright 2020 Google LLC
2 //
3 // This source code is licensed under the BSD-style license found in the
4 // LICENSE file in the root directory of this source tree.
5 
6 #include <assert.h>
7 #include <stddef.h>
8 
9 #include <arm_neon.h>
10 
11 #include <xnnpack/math.h>
12 #include <xnnpack/math-stubs.h>
13 
14 
xnn_math_f32_sqrt__neonfma_nr1fma(size_t n,const float * input,float * output)15 void xnn_math_f32_sqrt__neonfma_nr1fma(
16     size_t n,
17     const float* input,
18     float* output)
19 {
20   assert(n % (4 * sizeof(float)) == 0);
21 
22   const float32x4_t vhalf = vmovq_n_f32(0.5f);
23   for (; n != 0; n -= 4 * sizeof(float)) {
24     const float32x4_t vx = vld1q_f32(input); input += 4;
25 
26     // Initial approximation
27     const float32x4_t vrsqrtx = vrsqrteq_f32(vx);
28     float32x4_t vsqrtx = vmulq_f32(vrsqrtx, vx);
29     const float32x4_t vhalfrsqrtx = vmulq_f32(vrsqrtx, vhalf);
30 
31     // Netwon-Raphson iteration:
32     //   residual   <- 0.5 - sqrtx * halfrsqrtx
33     //   sqrtx      <- sqrtx + sqrtx * residual
34     const float32x4_t vresidual = vfmsq_f32(vhalf, vsqrtx, vhalfrsqrtx);
35     vsqrtx = vfmaq_f32(vsqrtx, vresidual, vsqrtx);
36 
37     const float32x4_t vy = vsqrtx;
38 
39     vst1q_f32(output, vy); output += 4;
40   }
41 }
42