fp16_emu.cu

/**
 * Copyright (c) 2015-present, Facebook, Inc.
 * All rights reserved.
 *
 * This source code is licensed under the CC-by-NC license found in the
 * LICENSE file in the root directory of this source tree.
 */

// from Nvidia cuDNN library samples; modified to compile within faiss

#include "fp16_emu.cuh"

namespace faiss { namespace gpu {

/*
 * Copyright 1993-2014 NVIDIA Corporation.  All rights reserved.
 *
 * NOTICE TO LICENSEE:
 *
 * This source code and/or documentation ("Licensed Deliverables") are
 * subject to NVIDIA intellectual property rights under U.S. and
 * international Copyright laws.
 *
 * These Licensed Deliverables contained herein is PROPRIETARY and
 * CONFIDENTIAL to NVIDIA and is being provided under the terms and
 * conditions of a form of NVIDIA software license agreement by and
 * between NVIDIA and Licensee ("License Agreement") or electronically
 * accepted by Licensee.  Notwithstanding any terms or conditions to
 * the contrary in the License Agreement, reproduction or disclosure
 * of the Licensed Deliverables to any third party without the express
 * written consent of NVIDIA is prohibited.
 *
 * NOTWITHSTANDING ANY TERMS OR CONDITIONS TO THE CONTRARY IN THE
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 * PROVIDED "AS IS" WITHOUT EXPRESS OR IMPLIED WARRANTY OF ANY KIND.
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 * DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS,
 * WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS
 * ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE
 * OF THESE LICENSED DELIVERABLES.
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 * U.S. Government End Users.  These Licensed Deliverables are a
 * "commercial item" as that term is defined at 48 C.F.R. 2.101 (OCT
 * 1995), consisting of "commercial computer software" and "commercial
 * computer software documentation" as such terms are used in 48
 * C.F.R. 12.212 (SEPT 1995) and is provided to the U.S. Government
 * only as a commercial end item.  Consistent with 48 C.F.R.12.212 and
 * 48 C.F.R. 227.7202-1 through 227.7202-4 (JUNE 1995), all
 * U.S. Government End Users acquire the Licensed Deliverables with
 * only those rights set forth herein.
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 * Any use of the Licensed Deliverables in individual and commercial
 * software must include, in the user documentation and internal
 * comments to the code, the above Disclaimer and U.S. Government End
 * Users Notice.
 */

// Host functions for converting between FP32 and FP16 formats
// Paulius Micikevicius (pauliusm@nvidia.com)

half1 cpu_float2half_rn(float f)
{
    half1 ret;

    union {
      float f;
      unsigned u;
    } un;

    un.f = f;

    unsigned x = un.u;
    unsigned u = (x & 0x7fffffff), remainder, shift, lsb, lsb_s1, lsb_m1;
    unsigned sign, exponent, mantissa;

    // Get rid of +NaN/-NaN case first.
    if (u > 0x7f800000) {
        ret.x = 0x7fffU;
        return ret;
    }

    sign = ((x >> 16) & 0x8000);

    // Get rid of +Inf/-Inf, +0/-0.
    if (u > 0x477fefff) {
        ret.x = sign | 0x7c00U;
        return ret;
    }
    if (u < 0x33000001) {
        ret.x = (sign | 0x0000);
        return ret;
    }

    exponent = ((u >> 23) & 0xff);
    mantissa = (u & 0x7fffff);

    if (exponent > 0x70) {
        shift = 13;
        exponent -= 0x70;
    } else {
        shift = 0x7e - exponent;
        exponent = 0;
        mantissa |= 0x800000;
    }
    lsb = (1 << shift);
    lsb_s1 = (lsb >> 1);
    lsb_m1 = (lsb - 1);

    // Round to nearest even.
    remainder = (mantissa & lsb_m1);
    mantissa >>= shift;
    if (remainder > lsb_s1 || (remainder == lsb_s1 && (mantissa & 0x1))) {
        ++mantissa;
        if (!(mantissa & 0x3ff)) {
            ++exponent;
            mantissa = 0;
        }
    }

    ret.x = (sign | (exponent << 10) | mantissa);

    return ret;
}


float cpu_half2float(half1 h)
{
    unsigned sign = ((h.x >> 15) & 1);
    unsigned exponent = ((h.x >> 10) & 0x1f);
    unsigned mantissa = ((h.x & 0x3ff) << 13);

    if (exponent == 0x1f) {  /* NaN or Inf */
        mantissa = (mantissa ? (sign = 0, 0x7fffff) : 0);
        exponent = 0xff;
    } else if (!exponent) {  /* Denorm or Zero */
        if (mantissa) {
            unsigned int msb;
            exponent = 0x71;
            do {
                msb = (mantissa & 0x400000);
                mantissa <<= 1;  /* normalize */
                --exponent;
            } while (!msb);
            mantissa &= 0x7fffff;  /* 1.mantissa is implicit */
        }
    } else {
        exponent += 0x70;
    }

    union {
      int i;
      float f;
    } un;

    un.i = ((sign << 31) | (exponent << 23) | mantissa);

    return un.f;
}

} } // namespace