src/qs8-requantization/precise-scalar-signed64.c

// Copyright (c) Facebook, Inc. and its affiliates.
// All rights reserved.
//
// Copyright 2019 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 <stdint.h>
#include <stddef.h>

#include <fp16/bitcasts.h>

#include <xnnpack/scalar-utils.h>
#include <xnnpack/requantization-stubs.h>


void xnn_qs8_requantize_precise__scalar_signed64(
    size_t n,
    const int32_t* input,
    float scale,
    int8_t zero_point,
    int8_t qmin,
    int8_t qmax,
    int8_t* output)
{
  assert(n % 4 == 0);
  assert(scale < 1.0f);
  assert(scale >= 0x1.0p-32f);

  const uint32_t scale_bits = fp32_to_bits(scale);
  const int32_t multiplier = ((int32_t) scale_bits & INT32_C(0x007FFFFF)) | INT32_C(0x00800000);
  const uint32_t shift = 127 + 23 - (scale_bits >> 23);
  assert(shift >= 24);
  assert(shift < 56);

  const int64_t rounding = INT64_C(1) << (shift - 1);
  const int32_t smin = (int32_t) qmin - (int32_t) zero_point;
  const int32_t smax = (int32_t) qmax - (int32_t) zero_point;
  for (; n != 0; n -= 4) {
    const int32_t x = input[0];
    const int32_t y = input[1];
    const int32_t z = input[2];
    const int32_t w = input[3];
    input += 4;

    // Compute full 64-bit product of signed 32-bit factors.
    //
    // Note: multiplier can be treated as either signed or unsigned.
    const int64_t x_product = (int64_t) x * (int64_t) multiplier;
    const int64_t y_product = (int64_t) y * (int64_t) multiplier;
    const int64_t z_product = (int64_t) z * (int64_t) multiplier;
    const int64_t w_product = (int64_t) w * (int64_t) multiplier;

    // Adjust product before subsequent shift with rounding up to simulate shift with rounding away from zero.
    const int64_t x_adjusted_product = x_product - (int64_t)(x < 0);
    const int64_t y_adjusted_product = y_product - (int64_t)(y < 0);
    const int64_t z_adjusted_product = z_product - (int64_t)(z < 0);
    const int64_t w_adjusted_product = w_product - (int64_t)(w < 0);

    // Arithmetically shift the full 64-bit product right with rounding.
    // Rounding is performed towards closest integer, with midpoints rounded up.
    //
    // Note that although rounding is precomputed, it is dependent on shift value, and on processors with 64-bit
    // "right shift with rounding" instruction each line below can be represented by just one such instruction
    // (e.g. VRSHL.S64 on ARM NEON, SRSHL in ARM64 Advanced SIMD).
    const int32_t x_scaled = (int32_t) asr_s64(x_adjusted_product + rounding, shift);
    const int32_t y_scaled = (int32_t) asr_s64(y_adjusted_product + rounding, shift);
    const int32_t z_scaled = (int32_t) asr_s64(z_adjusted_product + rounding, shift);
    const int32_t w_scaled = (int32_t) asr_s64(w_adjusted_product + rounding, shift);

    // Clamp scaled value with zero point between (qmin - zero point) and (qmax - zero point).
    const int32_t x_clamped = x_scaled < smin ? smin : x_scaled > smax ? smax : x_scaled;
    const int32_t y_clamped = y_scaled < smin ? smin : y_scaled > smax ? smax : y_scaled;
    const int32_t z_clamped = z_scaled < smin ? smin : z_scaled > smax ? smax : z_scaled;
    const int32_t w_clamped = w_scaled < smin ? smin : w_scaled > smax ? smax : w_scaled;

    // Add zero point to clamped value.
    // The result is guaranteed to be in [qmin, qmax] range.
    //
    // This addition can not be safely done before clamping, because scaled values are in [-2147483520, 2147483519]
    // range, so addition of zero point (which can be up to 255) can overflow signed 32-bit integer.
    const int32_t x_biased = x_clamped + zero_point;
    const int32_t y_biased = y_clamped + zero_point;
    const int32_t z_biased = z_clamped + zero_point;
    const int32_t w_biased = w_clamped + zero_point;

    output[0] = (int8_t) x_biased;
    output[1] = (int8_t) y_biased;
    output[2] = (int8_t) z_biased;
    output[3] = (int8_t) w_biased;
    output += 4;
  }
}