Square root evaluation stubs

PiperOrigin-RevId: 318936593
diff --git a/src/math/sqrt-avx512f-nr1fma.c b/src/math/sqrt-avx512f-nr1fma.c
new file mode 100644
index 0000000..32a0d98
--- /dev/null
+++ b/src/math/sqrt-avx512f-nr1fma.c
@@ -0,0 +1,43 @@
+// Copyright 2020 Google LLC
+//
+// This source code is licensed under the BSD-style license found in the
+// LICENSE file in the root directory of this source tree.
+
+#include <assert.h>
+#include <stddef.h>
+
+#include <immintrin.h>
+
+#include <xnnpack/math.h>
+#include <xnnpack/math-stubs.h>
+
+
+void xnn_math_f32_sqrt__avx512f_nr1fma(
+    size_t n,
+    const float* input,
+    float* output)
+{
+  assert(n % (16 * sizeof(float)) == 0);
+
+  const __m512 vhalf = _mm512_set1_ps(0.5f);
+  for (; n != 0; n -= 16 * sizeof(float)) {
+    const __m512 vx = _mm512_load_ps(input);
+    input += 16;
+
+    // Initial approximation
+    const __m512 vrsqrtx = _mm512_rsqrt14_ps(vx);
+    __m512 vsqrtx = _mm512_mul_ps(vrsqrtx, vx);
+    const __m512 vhalfrsqrtx = _mm512_mul_ps(vrsqrtx, vhalf);
+
+    // Netwon-Raphson iteration:
+    //   residual   <- 0.5 - sqrtx * halfrsqrtx
+    //   sqrtx      <- sqrtx + sqrtx * residual
+    const __m512 vresidual = _mm512_fnmadd_ps(vsqrtx, vhalfrsqrtx, vhalf);
+    vsqrtx = _mm512_fmadd_ps(vsqrtx, vresidual, vsqrtx);
+
+    const __m512 vy = vsqrtx;
+
+    _mm512_store_ps(output, vy);
+    output += 16;
+  }
+}