| /*********************************************************** |
| Copyright 1991 by Stichting Mathematisch Centrum, Amsterdam, The |
| Netherlands. |
| |
| All Rights Reserved |
| |
| Permission to use, copy, modify, and distribute this software and its |
| documentation for any purpose and without fee is hereby granted, |
| provided that the above copyright notice appear in all copies and that |
| both that copyright notice and this permission notice appear in |
| supporting documentation, and that the names of Stichting Mathematisch |
| Centrum or CWI not be used in advertising or publicity pertaining to |
| distribution of the software without specific, written prior permission. |
| |
| STICHTING MATHEMATISCH CENTRUM DISCLAIMS ALL WARRANTIES WITH REGARD TO |
| THIS SOFTWARE, INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND |
| FITNESS, IN NO EVENT SHALL STICHTING MATHEMATISCH CENTRUM BE LIABLE |
| FOR ANY SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY 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 THIS SOFTWARE. |
| |
| ******************************************************************/ |
| |
| /* Parameters of the long integer representation. |
| These shouldn't have to be changed as C should guarantee that a short |
| contains at least 16 bits, but it's made changeable any way. |
| Note: 'digit' should be able to hold 2*MASK+1, and 'twodigits' |
| should be able to hold the intermediate results in 'mul' |
| (at most MASK << SHIFT). |
| Also, x_sub assumes that 'digit' is an unsigned type, and overflow |
| is handled by taking the result mod 2**N for some N > SHIFT. |
| And, at some places it is assumed that MASK fits in an int, as well. */ |
| |
| typedef unsigned short digit; |
| typedef unsigned int wdigit; /* digit widened to parameter size */ |
| typedef unsigned long twodigits; |
| typedef long stwodigits; /* signed variant of twodigits */ |
| |
| #define SHIFT 15 |
| #define BASE ((digit)1 << SHIFT) |
| #define MASK ((int)(BASE - 1)) |
| |
| /* Long integer representation. |
| The absolute value of a number is equal to |
| SUM(for i=0 through abs(ob_size)-1) ob_digit[i] * 2**(SHIFT*i) |
| Negative numbers are represented with ob_size < 0; |
| zero is represented by ob_size == 0. |
| In a normalized number, ob_digit[abs(ob_size)-1] (the most significant |
| digit) is never zero. Also, in all cases, for all valid i, |
| 0 <= ob_digit[i] <= MASK. |
| The allocation fuction takes care of allocating extra memory |
| so that ob_digit[0] ... ob_digit[abs(ob_size)-1] are actually available. */ |
| |
| typedef struct { |
| OB_HEAD |
| int ob_size; /* XXX Hack! newvarobj() stores it as unsigned! */ |
| digit ob_digit[1]; |
| } longobject; |
| |
| #define ABS(x) ((x) < 0 ? -(x) : (x)) |
| |
| /* Internal use only */ |
| longobject *alloclongobject PROTO((int)); |
| longobject *long_normalize PROTO((longobject *)); |
| longobject *mul1 PROTO((longobject *, wdigit)); |
| longobject *muladd1 PROTO((longobject *, wdigit, wdigit)); |
| longobject *divrem1 PROTO((longobject *, wdigit, digit *)); |