nuttx/libc/misc/lib_umul64.c
2016-01-25 11:19:25 -06:00

102 lines
3.9 KiB
C

/****************************************************************************
* libc/fixedmath/lib_umul64.c
*
* Copyright (C) 2016 Gregory Nutt. All rights reserved.
* Author: Gregory Nutt <gnutt@nuttx.org>
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* 3. Neither the name NuttX nor the names of its contributors may be
* used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
* OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
* AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
*
****************************************************************************/
/****************************************************************************
* Included Files
****************************************************************************/
#include <nuttx/math32.h>
/****************************************************************************
* Public Functions
****************************************************************************/
/****************************************************************************
* Name: umul64
*
* Description:
* Multiply two 64-bit values, factor1 and factor2, and return the
* truncated 64-bit product.
*
* Input Parameters:
* factor1 and factor2 - The values to be multiplied
* product - The location to return the product of the two values.
*
****************************************************************************/
void umul64(FAR const struct uint64_s *factor1,
FAR const struct uint64_s *factor2,
FAR struct uint64_s *product)
{
struct uint64_s part1;
struct uint64_s part2;
/* factor1 = factor1->ms << 32 + factor1->ls
* factor2 = factor2->ms << 32 + factor2->ls
*
* Full 128-bit product:
* factor1 * factor2 = (factor1->ms * factor2->ms << 64) +
* factor1->ls * (factor2->ms << 32) +
* factor2->ls * (factor1->ms << 32) +
* factor1->ls * factor2->ls
*
* Truncated, 64-bit product:
* factor1 * factor2 = (factor1->ls * factor2->ms +
* factor2->ls * factor1->ms) << 32) +
* factor1->ls * factor2->ls
*
* part1 = (factor1->ls * factor2->ms +
* factor2->ls * factor1->ms) << 32)
* part2 = factor1->ls * factor2->ls
* factor1 * factor2 = part1 + part2
*/
/* Get part1 = factor1->ls * factor2->ms + factor2->ls * factor1->ms,
* shifting left by 32-bits (truncating to 64-bits)
*/
part1.ms = factor1->ls * factor2->ms +
factor2->ls * factor2->ms;
part1.ls = 0;
/* Get the full 64-bit part2 = factor1->ls * factor2->ls */
umul32(factor1->ls, factor2->ls, &part2);
/* The product is then the sum */
uadd64(&part1, &part2, product);
}