/*
 * Copyright (c) Facebook, Inc. and its affiliates.
 * All rights reserved.
 *
 * 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 <fp16/bitcasts.h>
#include <qnnpack/scalar-utils.h>
#include <qnnpack/requantization-stubs.h>


void qnnp_requantize_q31__scalar(
    size_t n,
    const int32_t* input,
    float scale,
    uint8_t zero_point,
    uint8_t qmin,
    uint8_t qmax,
    uint8_t* output)
{
  assert(n % 4 == 0);
  assert(scale < 1.0f);
  assert(scale >= 0x1.0p-32f);

  /* Compute requantization parameters */
  const uint32_t scale_bits = fp32_to_bits(scale);

  /* Multiplier is in [0x40000000, 0x7FFFFF80] range */
  const int32_t multiplier = (int32_t)(((scale_bits & UINT32_C(0x007FFFFF)) | UINT32_C(0x00800000)) << 7);
  assert(multiplier >= INT32_C(0x40000000));
  assert(multiplier <= INT32_C(0x7FFFFF80));

  /* Shift is in [0, 31] range */
  const int32_t shift = 127 + 31 - 32 - (fp32_to_bits(scale) >> 23);
  assert(shift >= 0);
  assert(shift < 32);

  const int64_t q31rounding = INT64_C(0x40000000);
  const int32_t remainder_mask = (int32_t)((UINT32_C(1) << shift) - UINT32_C(1));
  const int32_t threshold = (int32_t)((uint32_t) remainder_mask >> 1);
  const int32_t smin = (int32_t)(uint32_t) qmin - (int32_t)(uint32_t) zero_point;
  const int32_t smax = (int32_t)(uint32_t) qmax - (int32_t)(uint32_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;

    /*
     * Get the Q31 multiplication result by extracting bits 31-62 of the product, with rounding up.
     * Add rounding value (0x40000000) and then shift right by 31 bits and extract the low 32-bit word.
     * Note: casts to unsigned types are needed to avoid undefined behavior.
     * Given the multiplier range, the result of Q31 multiplication is in [-2147483520, 2147483519] range.
     */
    const int32_t x_q31product = (int32_t)(uint32_t)((uint64_t)(x_product + q31rounding) >> 31);
    const int32_t y_q31product = (int32_t)(uint32_t)((uint64_t)(y_product + q31rounding) >> 31);
    const int32_t z_q31product = (int32_t)(uint32_t)((uint64_t)(z_product + q31rounding) >> 31);
    const int32_t w_q31product = (int32_t)(uint32_t)((uint64_t)(w_product + q31rounding) >> 31);

    /*
     * Arithmetically shift the adjusted product right with rounding.
     * Rounding is performed towards closest integer, with midpoints rounded away from zero.
     *
     * Shift with correct rounding could be efficiently implemented by pre-adding rounding constant, but with input in
     * [-2147483520, 2147483519] range and rounding constant up to 2**30 we can't rule out overflow. This limitation
     * leaves us with 3 options:
     * 1. Extend input to 64-bit signed integer, perform addition and shift on 64-bit integers, then truncate result
     *    to 32 bits.
     * 2. Detect overflow and handle this situation separately. Note that overflow is possible only when input is
     *    positive, and even when addition of a rounding constant overflows 32-bit signed integer, it still doesn't
     *    overflow 32-bit unsigned integer. Thus, in case of signed overflow, we can compute the result using unsigned
     *    arithmetics, specifically using logical shift right instead of arithmetic shift right.
     * 3. Performs arithmetic shift as is, which will produce division result rounded down. Then compute remainder of
     *    this division by a power of 2, and adjust the result. Result needs adjustment (increment by 1) when
     *     - input is positive, shift is non-zero, and remainder >= 2**(shift - 1), e.g. 10 >> 2 needs adjustment
     *     - input is negative, shift is non-zero, and remainder > 2**(shift - 1), e.g. -10 >> 2 doesn't need adjustment
     *    These conditions can be generalized as
     *        remainder + (input <= 0) > 2**(shift - 1)
     *    or equivalently
     *        remainder - (input < 0) > ((2**shift - 1) >> 1)
     *    When shift is 0, remainder is 0 as well, the last condition is always false, and no adjustment is done.
     *
     * Among these options, option 3 is the most performant across the board, although option 1 is promising for 64-bit
     * instruction sets.
     */
    const int32_t x_remainder = (x_q31product & remainder_mask) - (int32_t)(x_q31product < 0);
    const int32_t y_remainder = (y_q31product & remainder_mask) - (int32_t)(y_q31product < 0);
    const int32_t z_remainder = (z_q31product & remainder_mask) - (int32_t)(z_q31product < 0);
    const int32_t w_remainder = (w_q31product & remainder_mask) - (int32_t)(w_q31product < 0);

    const int32_t x_scaled = asr_s32(x_q31product, shift) + (int32_t)(x_remainder > threshold);
    const int32_t y_scaled = asr_s32(y_q31product, shift) + (int32_t)(y_remainder > threshold);
    const int32_t z_scaled = asr_s32(z_q31product, shift) + (int32_t)(z_remainder > threshold);
    const int32_t w_scaled = asr_s32(w_q31product, shift) + (int32_t)(w_remainder > threshold);

    /*
     * 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] = (uint8_t) x_biased;
    output[1] = (uint8_t) y_biased;
    output[2] = (uint8_t) z_biased;
    output[3] = (uint8_t) w_biased;
    output += 4;
  }
}
