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Name	Size	Permission	Date
.libs	[ DIR ]	drwxr-xr-x	2024-03-12 14:24
add.c	2.5 KB	-rw-rw-r--	2022-10-31 11:36
add.lo	325 B	-rw-r--r--	2024-03-12 14:24
add.o	71.13 KB	-rw-r--r--	2024-03-12 14:24
bcmath.h	4.63 KB	-rw-rw-r--	2022-10-31 11:36
compare.c	3.75 KB	-rw-rw-r--	2022-10-31 11:36
compare.lo	337 B	-rw-r--r--	2024-03-12 14:24
compare.o	70.95 KB	-rw-r--r--	2024-03-12 14:24
config.h	175 B	-rw-rw-r--	2022-10-31 11:36
debug.c	1.78 KB	-rw-rw-r--	2022-10-31 11:36
debug.lo	331 B	-rw-r--r--	2024-03-12 14:24
debug.o	71.29 KB	-rw-r--r--	2024-03-12 14:24
div.c	6.8 KB	-rw-rw-r--	2022-10-31 11:36
div.lo	325 B	-rw-r--r--	2024-03-12 14:24
div.o	79.02 KB	-rw-r--r--	2024-03-12 14:24
divmod.c	2.38 KB	-rw-rw-r--	2022-10-31 11:36
divmod.lo	334 B	-rw-r--r--	2024-03-12 14:24
divmod.o	72.11 KB	-rw-r--r--	2024-03-12 14:24
doaddsub.c	5.75 KB	-rw-rw-r--	2022-10-31 11:36
doaddsub.lo	340 B	-rw-r--r--	2024-03-12 14:24
doaddsub.o	75.63 KB	-rw-r--r--	2024-03-12 14:24
init.c	3.06 KB	-rw-rw-r--	2022-10-31 11:36
init.lo	328 B	-rw-r--r--	2024-03-12 14:24
init.o	73.13 KB	-rw-r--r--	2024-03-12 14:24
int2num.c	2.05 KB	-rw-rw-r--	2022-10-31 11:36
int2num.lo	337 B	-rw-r--r--	2024-03-12 14:24
int2num.o	70.88 KB	-rw-r--r--	2024-03-12 14:24
nearzero.c	1.93 KB	-rw-rw-r--	2022-10-31 11:36
nearzero.lo	340 B	-rw-r--r--	2024-03-12 14:24
nearzero.o	69.63 KB	-rw-r--r--	2024-03-12 14:24
neg.c	1.48 KB	-rw-rw-r--	2022-10-31 11:36
neg.lo	325 B	-rw-r--r--	2024-03-12 14:24
neg.o	68.05 KB	-rw-r--r--	2024-03-12 14:24
num2long.c	2.09 KB	-rw-rw-r--	2022-10-31 11:36
num2long.lo	340 B	-rw-r--r--	2024-03-12 14:24
num2long.o	69.23 KB	-rw-r--r--	2024-03-12 14:24
num2str.c	2.41 KB	-rw-rw-r--	2022-10-31 11:36
num2str.lo	337 B	-rw-r--r--	2024-03-12 14:24
num2str.o	71.31 KB	-rw-r--r--	2024-03-12 14:24
outofmem.c	1.43 KB	-rw-rw-r--	2022-10-31 11:36
outofmem.lo	340 B	-rw-r--r--	2024-03-12 14:24
outofmem.o	68.59 KB	-rw-r--r--	2024-03-12 14:24
output.c	5.48 KB	-rw-rw-r--	2022-10-31 11:36
output.lo	334 B	-rw-r--r--	2024-03-12 14:24
output.o	78.58 KB	-rw-r--r--	2024-03-12 14:24
private.h	1.49 KB	-rw-rw-r--	2022-10-31 11:36
raise.c	3.36 KB	-rw-rw-r--	2022-10-31 11:36
raise.lo	331 B	-rw-r--r--	2024-03-12 14:24
raise.o	72.98 KB	-rw-r--r--	2024-03-12 14:24
raisemod.c	3.63 KB	-rw-rw-r--	2022-10-31 11:36
raisemod.lo	340 B	-rw-r--r--	2024-03-12 14:24
raisemod.o	77.42 KB	-rw-r--r--	2024-03-12 14:24
recmul.c	7.37 KB	-rw-rw-r--	2022-10-31 11:36
recmul.lo	334 B	-rw-r--r--	2024-03-12 14:24
recmul.o	85.43 KB	-rw-r--r--	2024-03-12 14:24
rmzero.c	1.73 KB	-rw-rw-r--	2022-10-31 11:36
rmzero.lo	334 B	-rw-r--r--	2024-03-12 14:24
rmzero.o	68.13 KB	-rw-r--r--	2024-03-12 14:24
sqrt.c	3.36 KB	-rw-rw-r--	2022-10-31 11:36
sqrt.lo	328 B	-rw-r--r--	2024-03-12 14:24
sqrt.o	74 KB	-rw-r--r--	2024-03-12 14:24
str2num.c	2.93 KB	-rw-rw-r--	2022-10-31 11:36
str2num.lo	337 B	-rw-r--r--	2024-03-12 14:24
str2num.o	71.71 KB	-rw-r--r--	2024-03-12 14:24
sub.c	2.54 KB	-rw-rw-r--	2022-10-31 11:36
sub.lo	325 B	-rw-r--r--	2024-03-12 14:24
sub.o	71.09 KB	-rw-r--r--	2024-03-12 14:24
zero.c	1.83 KB	-rw-rw-r--	2022-10-31 11:36
zero.lo	328 B	-rw-r--r--	2024-03-12 14:24
zero.o	69.83 KB	-rw-r--r--	2024-03-12 14:24

Rename

/* sqrt.c: bcmath library file. */
/*
    Copyright (C) 1991, 1992, 1993, 1994, 1997 Free Software Foundation, Inc.
    Copyright (C) 2000 Philip A. Nelson

This library is free software; you can redistribute it and/or
    modify it under the terms of the GNU Lesser General Public
    License as published by the Free Software Foundation; either
    version 2 of the License, or (at your option) any later version.

This library is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
    Lesser General Public License for more details.  (LICENSE)

You should have received a copy of the GNU Lesser General Public
    License along with this library; if not, write to:

The Free Software Foundation, Inc.
      59 Temple Place, Suite 330
      Boston, MA 02111-1307 USA.

You may contact the author by:
       e-mail:  philnelson@acm.org
      us-mail:  Philip A. Nelson
                Computer Science Department, 9062
                Western Washington University
                Bellingham, WA 98226-9062

*************************************************************************/

#include <config.h>
#include <stdio.h>
#include <stdlib.h>
#include <ctype.h>
#include <stdarg.h>
#include "bcmath.h"
#include "private.h"

/* Take the square root NUM and return it in NUM with SCALE digits
   after the decimal place. */

int
bc_sqrt (bc_num *num, int scale)
{
  int rscale, cmp_res, done;
  int cscale;
  bc_num guess, guess1, point5, diff;

/* Initial checks. */
  cmp_res = bc_compare (*num, BCG(_zero_));
  if (cmp_res < 0)
    return 0;		/* error */
  else
    {
      if (cmp_res == 0)
	{
	  bc_free_num (num);
	  *num = bc_copy_num (BCG(_zero_));
	  return 1;
	}
    }
  cmp_res = bc_compare (*num, BCG(_one_));
  if (cmp_res == 0)
    {
      bc_free_num (num);
      *num = bc_copy_num (BCG(_one_));
      return 1;
    }

/* Initialize the variables. */
  rscale = MAX (scale, (*num)->n_scale);
  bc_init_num(&guess);
  bc_init_num(&guess1);
  bc_init_num(&diff);
  point5 = bc_new_num (1,1);
  point5->n_value[1] = 5;

/* Calculate the initial guess. */
  if (cmp_res < 0)
    {
      /* The number is between 0 and 1.  Guess should start at 1. */
      guess = bc_copy_num (BCG(_one_));
      cscale = (*num)->n_scale;
    }
  else
    {
      /* The number is greater than 1.  Guess should start at 10^(exp/2). */
      bc_int2num (&guess,10);

bc_int2num (&guess1,(*num)->n_len);
      bc_multiply (guess1, point5, &guess1, 0);
      guess1->n_scale = 0;
      bc_raise (guess, guess1, &guess, 0);
      bc_free_num (&guess1);
      cscale = 3;
    }

/* Find the square root using Newton's algorithm. */
  done = FALSE;
  while (!done)
    {
      bc_free_num (&guess1);
      guess1 = bc_copy_num (guess);
      bc_divide (*num, guess, &guess, cscale);
      bc_add (guess, guess1, &guess, 0);
      bc_multiply (guess, point5, &guess, cscale);
      bc_sub (guess, guess1, &diff, cscale+1);
      if (bc_is_near_zero (diff, cscale))
	{
	  if (cscale < rscale+1)
	    cscale = MIN (cscale*3, rscale+1);
	  else
	    done = TRUE;
	}
    }

/* Assign the number and clean up. */
  bc_free_num (num);
  bc_divide (guess,BCG(_one_),num,rscale);
  bc_free_num (&guess);
  bc_free_num (&guess1);
  bc_free_num (&point5);
  bc_free_num (&diff);
  return 1;
}