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utmath.c

/*******************************************************************************
 *
 * Module Name: utmath - Integer math support routines
 *
 ******************************************************************************/

/*
 * Copyright (C) 2000 - 2007, R. Byron Moore
 * All rights reserved.
 *
 * 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,
 *    without modification.
 * 2. Redistributions in binary form must reproduce at minimum a disclaimer
 *    substantially similar to the "NO WARRANTY" disclaimer below
 *    ("Disclaimer") and any redistribution must be conditioned upon
 *    including a substantially similar Disclaimer requirement for further
 *    binary redistribution.
 * 3. Neither the names of the above-listed copyright holders nor the names
 *    of any contributors may be used to endorse or promote products derived
 *    from this software without specific prior written permission.
 *
 * Alternatively, this software may be distributed under the terms of the
 * GNU General Public License ("GPL") version 2 as published by the Free
 * Software Foundation.
 *
 * NO WARRANTY
 * 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 MERCHANTIBILITY AND FITNESS FOR
 * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
 * HOLDERS OR CONTRIBUTORS BE LIABLE FOR 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 DAMAGES.
 */

#include <acpi/acpi.h>

#define _COMPONENT          ACPI_UTILITIES
ACPI_MODULE_NAME("utmath")

/*
 * Support for double-precision integer divide.  This code is included here
 * in order to support kernel environments where the double-precision math
 * library is not available.
 */
#ifndef ACPI_USE_NATIVE_DIVIDE
/*******************************************************************************
 *
 * FUNCTION:    acpi_ut_short_divide
 *
 * PARAMETERS:  Dividend            - 64-bit dividend
 *              Divisor             - 32-bit divisor
 *              out_quotient        - Pointer to where the quotient is returned
 *              out_remainder       - Pointer to where the remainder is returned
 *
 * RETURN:      Status (Checks for divide-by-zero)
 *
 * DESCRIPTION: Perform a short (maximum 64 bits divided by 32 bits)
 *              divide and modulo.  The result is a 64-bit quotient and a
 *              32-bit remainder.
 *
 ******************************************************************************/
acpi_status
acpi_ut_short_divide(acpi_integer dividend,
                 u32 divisor,
                 acpi_integer * out_quotient, u32 * out_remainder)
{
      union uint64_overlay dividend_ovl;
      union uint64_overlay quotient;
      u32 remainder32;

      ACPI_FUNCTION_TRACE(ut_short_divide);

      /* Always check for a zero divisor */

      if (divisor == 0) {
            ACPI_ERROR((AE_INFO, "Divide by zero"));
            return_ACPI_STATUS(AE_AML_DIVIDE_BY_ZERO);
      }

      dividend_ovl.full = dividend;

      /*
       * The quotient is 64 bits, the remainder is always 32 bits,
       * and is generated by the second divide.
       */
      ACPI_DIV_64_BY_32(0, dividend_ovl.part.hi, divisor,
                    quotient.part.hi, remainder32);
      ACPI_DIV_64_BY_32(remainder32, dividend_ovl.part.lo, divisor,
                    quotient.part.lo, remainder32);

      /* Return only what was requested */

      if (out_quotient) {
            *out_quotient = quotient.full;
      }
      if (out_remainder) {
            *out_remainder = remainder32;
      }

      return_ACPI_STATUS(AE_OK);
}

/*******************************************************************************
 *
 * FUNCTION:    acpi_ut_divide
 *
 * PARAMETERS:  in_dividend         - Dividend
 *              in_divisor          - Divisor
 *              out_quotient        - Pointer to where the quotient is returned
 *              out_remainder       - Pointer to where the remainder is returned
 *
 * RETURN:      Status (Checks for divide-by-zero)
 *
 * DESCRIPTION: Perform a divide and modulo.
 *
 ******************************************************************************/

acpi_status
acpi_ut_divide(acpi_integer in_dividend,
             acpi_integer in_divisor,
             acpi_integer * out_quotient, acpi_integer * out_remainder)
{
      union uint64_overlay dividend;
      union uint64_overlay divisor;
      union uint64_overlay quotient;
      union uint64_overlay remainder;
      union uint64_overlay normalized_dividend;
      union uint64_overlay normalized_divisor;
      u32 partial1;
      union uint64_overlay partial2;
      union uint64_overlay partial3;

      ACPI_FUNCTION_TRACE(ut_divide);

      /* Always check for a zero divisor */

      if (in_divisor == 0) {
            ACPI_ERROR((AE_INFO, "Divide by zero"));
            return_ACPI_STATUS(AE_AML_DIVIDE_BY_ZERO);
      }

      divisor.full = in_divisor;
      dividend.full = in_dividend;
      if (divisor.part.hi == 0) {
            /*
             * 1) Simplest case is where the divisor is 32 bits, we can
             * just do two divides
             */
            remainder.part.hi = 0;

            /*
             * The quotient is 64 bits, the remainder is always 32 bits,
             * and is generated by the second divide.
             */
            ACPI_DIV_64_BY_32(0, dividend.part.hi, divisor.part.lo,
                          quotient.part.hi, partial1);
            ACPI_DIV_64_BY_32(partial1, dividend.part.lo, divisor.part.lo,
                          quotient.part.lo, remainder.part.lo);
      }

      else {
            /*
             * 2) The general case where the divisor is a full 64 bits
             * is more difficult
             */
            quotient.part.hi = 0;
            normalized_dividend = dividend;
            normalized_divisor = divisor;

            /* Normalize the operands (shift until the divisor is < 32 bits) */

            do {
                  ACPI_SHIFT_RIGHT_64(normalized_divisor.part.hi,
                                  normalized_divisor.part.lo);
                  ACPI_SHIFT_RIGHT_64(normalized_dividend.part.hi,
                                  normalized_dividend.part.lo);

            } while (normalized_divisor.part.hi != 0);

            /* Partial divide */

            ACPI_DIV_64_BY_32(normalized_dividend.part.hi,
                          normalized_dividend.part.lo,
                          normalized_divisor.part.lo,
                          quotient.part.lo, partial1);

            /*
             * The quotient is always 32 bits, and simply requires adjustment.
             * The 64-bit remainder must be generated.
             */
            partial1 = quotient.part.lo * divisor.part.hi;
            partial2.full =
                (acpi_integer) quotient.part.lo * divisor.part.lo;
            partial3.full = (acpi_integer) partial2.part.hi + partial1;

            remainder.part.hi = partial3.part.lo;
            remainder.part.lo = partial2.part.lo;

            if (partial3.part.hi == 0) {
                  if (partial3.part.lo >= dividend.part.hi) {
                        if (partial3.part.lo == dividend.part.hi) {
                              if (partial2.part.lo > dividend.part.lo) {
                                    quotient.part.lo--;
                                    remainder.full -= divisor.full;
                              }
                        } else {
                              quotient.part.lo--;
                              remainder.full -= divisor.full;
                        }
                  }

                  remainder.full = remainder.full - dividend.full;
                  remainder.part.hi = (u32) - ((s32) remainder.part.hi);
                  remainder.part.lo = (u32) - ((s32) remainder.part.lo);

                  if (remainder.part.lo) {
                        remainder.part.hi--;
                  }
            }
      }

      /* Return only what was requested */

      if (out_quotient) {
            *out_quotient = quotient.full;
      }
      if (out_remainder) {
            *out_remainder = remainder.full;
      }

      return_ACPI_STATUS(AE_OK);
}

#else
/*******************************************************************************
 *
 * FUNCTION:    acpi_ut_short_divide, acpi_ut_divide
 *
 * PARAMETERS:  See function headers above
 *
 * DESCRIPTION: Native versions of the ut_divide functions. Use these if either
 *              1) The target is a 64-bit platform and therefore 64-bit
 *                 integer math is supported directly by the machine.
 *              2) The target is a 32-bit or 16-bit platform, and the
 *                 double-precision integer math library is available to
 *                 perform the divide.
 *
 ******************************************************************************/
acpi_status
acpi_ut_short_divide(acpi_integer in_dividend,
                 u32 divisor,
                 acpi_integer * out_quotient, u32 * out_remainder)
{

      ACPI_FUNCTION_TRACE(ut_short_divide);

      /* Always check for a zero divisor */

      if (divisor == 0) {
            ACPI_ERROR((AE_INFO, "Divide by zero"));
            return_ACPI_STATUS(AE_AML_DIVIDE_BY_ZERO);
      }

      /* Return only what was requested */

      if (out_quotient) {
            *out_quotient = in_dividend / divisor;
      }
      if (out_remainder) {
            *out_remainder = (u32) in_dividend % divisor;
      }

      return_ACPI_STATUS(AE_OK);
}

acpi_status
acpi_ut_divide(acpi_integer in_dividend,
             acpi_integer in_divisor,
             acpi_integer * out_quotient, acpi_integer * out_remainder)
{
      ACPI_FUNCTION_TRACE(ut_divide);

      /* Always check for a zero divisor */

      if (in_divisor == 0) {
            ACPI_ERROR((AE_INFO, "Divide by zero"));
            return_ACPI_STATUS(AE_AML_DIVIDE_BY_ZERO);
      }

      /* Return only what was requested */

      if (out_quotient) {
            *out_quotient = in_dividend / in_divisor;
      }
      if (out_remainder) {
            *out_remainder = in_dividend % in_divisor;
      }

      return_ACPI_STATUS(AE_OK);
}

#endif

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