Initial revision
This commit is contained in:
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69
Include/longintrepr.h
Normal file
69
Include/longintrepr.h
Normal file
@ -0,0 +1,69 @@
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/***********************************************************
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Copyright 1991 by Stichting Mathematisch Centrum, Amsterdam, The
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Netherlands.
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||||
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All Rights Reserved
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||||
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||||
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
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||||
OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
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******************************************************************/
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/* Parameters of the long integer representation.
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These shouldn't have to be changed as C should guarantee that a short
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contains at least 16 bits, but it's made changeable any way.
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Note: 'digit' should be able to hold 2*MASK+1, and 'twodigits'
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should be able to hold the intermediate results in 'mul'
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(at most MASK << SHIFT).
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Also, x_sub assumes that 'digit' is an unsigned type, and overflow
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is handled by taking the result mod 2**N for some N > SHIFT.
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And, at some places it is assumed that MASK fits in an int, as well. */
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typedef unsigned short digit;
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typedef unsigned long twodigits;
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#define SHIFT 15
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#define BASE ((digit)1 << SHIFT)
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#define MASK ((int)(BASE - 1))
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/* Long integer representation.
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The absolute value of a number is equal to
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SUM(for i=0 through abs(ob_size)-1) ob_digit[i] * 2**(SHIFT*i)
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Negative numbers are represented with ob_size < 0;
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zero is represented by ob_size == 0.
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In a normalized number, ob_digit[abs(ob_size)-1] (the most significant
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digit) is never zero. Also, in all cases, for all valid i,
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0 <= ob_digit[i] <= MASK.
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The allocation fuction takes care of allocating extra memory
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so that ob_digit[0] ... ob_digit[abs(ob_size)-1] are actually available. */
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typedef struct {
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OB_HEAD
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int ob_size; /* XXX Hack! newvarobj() stores it as unsigned! */
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digit ob_digit[1];
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} longobject;
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#define ABS(x) ((x) < 0 ? -(x) : (x))
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/* Internal use only */
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longobject *alloclongobject PROTO((int));
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longobject *long_normalize PROTO((longobject *));
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longobject *mul1 PROTO((longobject *, digit));
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longobject *muladd1 PROTO((longobject *, digit, digit));
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longobject *divrem1 PROTO((longobject *, digit, digit *));
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/* Check for interrupts during operations on long ints >= this size */
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#define INTRLIMIT 20
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32
Include/longobject.h
Normal file
32
Include/longobject.h
Normal file
@ -0,0 +1,32 @@
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/***********************************************************
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Copyright 1991 by Stichting Mathematisch Centrum, Amsterdam, The
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Netherlands.
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All Rights Reserved
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|
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Permission to use, copy, modify, and distribute this software and its
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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
|
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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
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||||
OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
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******************************************************************/
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/* Long (arbitrary precision) integer object interface */
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extern typeobject Longtype;
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#define is_longobject(op) ((op)->ob_type == &Longtype)
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extern object *newlongobject PROTO((long));
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extern long getlongvalue PROTO((object *));
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900
Objects/longobject.c
Normal file
900
Objects/longobject.c
Normal file
@ -0,0 +1,900 @@
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/***********************************************************
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Copyright 1991 by Stichting Mathematisch Centrum, Amsterdam, The
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Netherlands.
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All Rights Reserved
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|
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Permission to use, copy, modify, and distribute this software and its
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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.
|
||||
|
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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
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OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
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******************************************************************/
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/* Long (arbitrary precision) integer object implementation */
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#include "allobjects.h"
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#include "longintrepr.h"
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#include <assert.h>
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/* Normalize (remove leading zeros from) a long int object.
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Doesn't attempt to free the storage--in most cases, due to the nature
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of the algorithms used, this could save at most be one word anyway. */
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longobject *
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long_normalize(v)
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register longobject *v;
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{
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int j = ABS(v->ob_size);
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register int i = j;
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while (i > 0 && v->ob_digit[i-1] == 0)
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--i;
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if (i != j)
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v->ob_size = (v->ob_size < 0) ? -i : i;
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return v;
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}
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/* Allocate a new long int object with size digits.
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Return NULL and set exception if we run out of memory. */
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longobject *
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alloclongobject(size)
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int size;
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{
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return NEWVAROBJ(longobject, &Longtype, size);
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}
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/* Create a new long int object from a C long int */
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object *
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newlongobject(ival)
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long ival;
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{
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/* Assume a C long fits in at most 3 'digits' */
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longobject *v = alloclongobject(3);
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if (v != NULL) {
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if (ival < 0) {
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ival = -ival;
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v->ob_size = -v->ob_size;
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}
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v->ob_digit[0] = ival & MASK;
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v->ob_digit[1] = (ival >> SHIFT) & MASK;
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v->ob_digit[2] = (ival >> (2*SHIFT)) & MASK;
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v = long_normalize(v);
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}
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return (object *)v;
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}
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/* Get a C long int from a long int object.
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Returns -1 and sets an error condition if overflow occurs. */
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long
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getlongvalue(vv)
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object *vv;
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{
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register longobject *v;
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long x, prev;
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int i, sign;
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if (vv == NULL || !is_longobject(vv)) {
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err_badcall();
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return -1;
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}
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v = (longobject *)vv;
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i = v->ob_size;
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sign = 1;
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x = 0;
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if (i < 0) {
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sign = -1;
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i = -i;
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}
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while (--i >= 0) {
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prev = x;
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x = (x << SHIFT) + v->ob_digit[i];
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if ((x >> SHIFT) != prev) {
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err_setstr(RuntimeError,
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"long int too long to convert");
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return -1;
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}
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}
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return x * sign;
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}
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/* Get a C double from a long int object. No overflow check. */
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double
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dgetlongvalue(vv)
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object *vv;
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{
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register longobject *v;
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double x;
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double multiplier = (double) (1L << SHIFT);
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int i, sign;
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if (vv == NULL || !is_longobject(vv)) {
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err_badcall();
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return -1;
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}
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v = (longobject *)vv;
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i = v->ob_size;
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sign = 1;
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x = 0.0;
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if (i < 0) {
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sign = -1;
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i = -i;
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}
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while (--i >= 0) {
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x = x*multiplier + v->ob_digit[i];
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}
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return x * sign;
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}
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/* Multiply by a single digit, ignoring the sign. */
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longobject *
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mul1(a, n)
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longobject *a;
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digit n;
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{
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return muladd1(a, n, (digit)0);
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}
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/* Multiply by a single digit and add a single digit, ignoring the sign. */
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longobject *
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muladd1(a, n, extra)
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longobject *a;
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digit n;
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digit extra;
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{
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int size_a = ABS(a->ob_size);
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longobject *z = alloclongobject(size_a+1);
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twodigits carry = extra;
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int i;
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if (z == NULL)
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return NULL;
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for (i = 0; i < size_a; ++i) {
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carry += (twodigits)a->ob_digit[i] * n;
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z->ob_digit[i] = carry & MASK;
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carry >>= SHIFT;
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}
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z->ob_digit[i] = carry;
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return long_normalize(z);
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}
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/* Divide a long integer by a digit, returning both the quotient
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(as function result) and the remainder (through *prem).
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The sign of a is ignored; n should not be zero. */
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longobject *
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divrem1(a, n, prem)
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longobject *a;
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digit n;
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digit *prem;
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{
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int size = ABS(a->ob_size);
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longobject *z;
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int i;
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twodigits rem = 0;
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assert(n > 0 && n <= MASK);
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z = alloclongobject(size);
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if (z == NULL)
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return NULL;
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for (i = size; --i >= 0; ) {
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rem = (rem << SHIFT) + a->ob_digit[i];
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z->ob_digit[i] = rem/n;
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rem %= n;
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}
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*prem = rem;
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return long_normalize(z);
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}
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/* Convert a long int object to a string, using a given conversion base.
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Return a string object. */
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stringobject *
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long_format(a, base)
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longobject *a;
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int base;
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{
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stringobject *str;
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int i;
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int size_a = ABS(a->ob_size);
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char *p;
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int bits;
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char sign = '\0';
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assert(base >= 2 && base <= 36);
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/* Compute a rough upper bound for the length of the string */
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i = base;
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bits = 0;
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while (i > 1) {
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++bits;
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i >>= 1;
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}
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i = 1 + (size_a*SHIFT + bits-1) / bits;
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str = (stringobject *) newsizedstringobject((char *)0, i);
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if (str == NULL)
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return NULL;
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p = GETSTRINGVALUE(str) + i;
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*p = '\0';
|
||||
if (a->ob_size < 0)
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sign = '-';
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|
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INCREF(a);
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do {
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digit rem;
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longobject *temp = divrem1(a, (digit)base, &rem);
|
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if (temp == NULL) {
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DECREF(a);
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DECREF(str);
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return NULL;
|
||||
}
|
||||
if (rem < 10)
|
||||
rem += '0';
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||||
else
|
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rem += 'A'-10;
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||||
assert(p > GETSTRINGVALUE(str));
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*--p = rem;
|
||||
DECREF(a);
|
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a = temp;
|
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if (a->ob_size >= INTRLIMIT && intrcheck()) {
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DECREF(a);
|
||||
DECREF(str);
|
||||
err_set(KeyboardInterrupt);
|
||||
return NULL;
|
||||
}
|
||||
} while (a->ob_size != 0);
|
||||
DECREF(a);
|
||||
if (sign)
|
||||
*--p = sign;
|
||||
if (p != GETSTRINGVALUE(str)) {
|
||||
char *q = GETSTRINGVALUE(str);
|
||||
assert(p > q);
|
||||
do {
|
||||
} while ((*q++ = *p++) != '\0');
|
||||
resizestring((object **)&str, (int) (q - GETSTRINGVALUE(str)));
|
||||
}
|
||||
return str;
|
||||
}
|
||||
|
||||
/* Convert a string to a long int object, in a given base.
|
||||
Base zero implies a default depending on the number. */
|
||||
|
||||
object *
|
||||
long_scan(str, base)
|
||||
char *str;
|
||||
int base;
|
||||
{
|
||||
int sign = 1;
|
||||
longobject *z;
|
||||
|
||||
assert(base == 0 || base >= 2 && base <= 36);
|
||||
if (*str == '+')
|
||||
++str;
|
||||
else if (*str == '-') {
|
||||
++str;
|
||||
sign = -1;
|
||||
}
|
||||
if (base == 0) {
|
||||
if (str[0] != '0')
|
||||
base = 10;
|
||||
else if (str[1] == 'x' || str[1] == 'X')
|
||||
base = 16;
|
||||
else
|
||||
base = 8;
|
||||
}
|
||||
if (base == 16 && str[0] == '0' && (str[1] == 'x' || str[1] == 'X'))
|
||||
str += 2;
|
||||
z = alloclongobject(0);
|
||||
for ( ; z != NULL; ++str) {
|
||||
int k = -1;
|
||||
longobject *temp;
|
||||
|
||||
if (*str <= '9')
|
||||
k = *str - '0';
|
||||
else if (*str >= 'a')
|
||||
k = *str - 'a' + 10;
|
||||
else if (*str >= 'A')
|
||||
k = *str - 'A' + 10;
|
||||
if (k < 0 || k >= base)
|
||||
break;
|
||||
temp = muladd1(z, (digit)base, (digit)k);
|
||||
DECREF(z);
|
||||
z = temp;
|
||||
}
|
||||
if (z != NULL)
|
||||
z->ob_size *= sign;
|
||||
return (object *) z;
|
||||
}
|
||||
|
||||
static longobject *x_divrem PROTO((longobject *, longobject *, longobject **));
|
||||
|
||||
/* Long division with remainder, top-level routine */
|
||||
|
||||
longobject *
|
||||
long_divrem(a, b, prem)
|
||||
longobject *a, *b;
|
||||
longobject **prem;
|
||||
{
|
||||
int size_a = ABS(a->ob_size), size_b = ABS(b->ob_size);
|
||||
longobject *z;
|
||||
|
||||
if (size_b == 0) {
|
||||
if (prem != NULL)
|
||||
*prem = NULL;
|
||||
err_setstr(RuntimeError, "long division by zero");
|
||||
return NULL;
|
||||
}
|
||||
if (size_a < size_b ||
|
||||
size_a == size_b && a->ob_digit[size_a-1] < b->ob_digit[size_b-1]) {
|
||||
/* |a| < |b|. */
|
||||
if (prem != NULL) {
|
||||
INCREF(a);
|
||||
*prem = a;
|
||||
}
|
||||
return alloclongobject(0);
|
||||
}
|
||||
if (size_b == 1) {
|
||||
digit rem = 0;
|
||||
z = divrem1(a, b->ob_digit[0], &rem);
|
||||
if (prem != NULL) {
|
||||
if (z == NULL)
|
||||
*prem = NULL;
|
||||
else
|
||||
*prem = (longobject *)
|
||||
newlongobject((long)rem);
|
||||
}
|
||||
}
|
||||
else
|
||||
z = x_divrem(a, b, prem);
|
||||
/* Set the signs.
|
||||
The quotient z has the sign of a*b;
|
||||
the remainder r has the sign of a,
|
||||
so a = b*z + r. */
|
||||
if (z != NULL) {
|
||||
if ((a->ob_size < 0) != (b->ob_size < 0))
|
||||
z->ob_size = - z->ob_size;
|
||||
if (prem != NULL && *prem != NULL && a->ob_size < 0)
|
||||
(*prem)->ob_size = - (*prem)->ob_size;
|
||||
}
|
||||
return z;
|
||||
}
|
||||
|
||||
/* True unsigned long division with remainder */
|
||||
|
||||
static longobject *
|
||||
x_divrem(v1, w1, prem)
|
||||
longobject *v1, *w1;
|
||||
longobject **prem;
|
||||
{
|
||||
int size_v = ABS(v1->ob_size), size_w = ABS(w1->ob_size);
|
||||
digit d = (twodigits)BASE / (w1->ob_digit[size_w-1] + 1);
|
||||
longobject *v = mul1(v1, d);
|
||||
longobject *w = mul1(w1, d);
|
||||
longobject *a;
|
||||
int j, k;
|
||||
|
||||
if (v == NULL || w == NULL) {
|
||||
XDECREF(v);
|
||||
XDECREF(w);
|
||||
if (prem != NULL)
|
||||
*prem = NULL;
|
||||
return NULL;
|
||||
}
|
||||
|
||||
assert(size_v >= size_w && size_w > 1); /* Assert checks by div() */
|
||||
assert(v->refcnt == 1); /* Since v will be used as accumulator! */
|
||||
assert(size_w == ABS(w->ob_size)); /* That's how d was calculated */
|
||||
|
||||
size_v = ABS(v->ob_size);
|
||||
a = alloclongobject(size_v - size_w + 1);
|
||||
|
||||
for (j = size_v, k = a->ob_size-1; a != NULL && k >= 0; --j, --k) {
|
||||
digit vj = (j >= size_v) ? 0 : v->ob_digit[j];
|
||||
twodigits q;
|
||||
long carry = 0; /* Signed! long! */
|
||||
int i;
|
||||
|
||||
if (size_v >= INTRLIMIT && intrcheck()) {
|
||||
DECREF(a);
|
||||
a = NULL;
|
||||
err_set(KeyboardInterrupt);
|
||||
break;
|
||||
}
|
||||
if (vj == w->ob_digit[size_w-1])
|
||||
q = MASK;
|
||||
else
|
||||
q = (((twodigits)vj << SHIFT) + v->ob_digit[j-1]) /
|
||||
w->ob_digit[size_w-1];
|
||||
|
||||
while (w->ob_digit[size_w-2]*q >
|
||||
((
|
||||
((twodigits)vj << SHIFT)
|
||||
+ v->ob_digit[j-1]
|
||||
- q*w->ob_digit[size_w-1]
|
||||
) << SHIFT)
|
||||
+ v->ob_digit[j-2])
|
||||
--q;
|
||||
|
||||
for (i = 0; i < size_w && i+k < size_v; ++i) {
|
||||
twodigits z = w->ob_digit[i] * q;
|
||||
digit zz = z >> SHIFT;
|
||||
carry += v->ob_digit[i+k] - z + ((twodigits)zz << SHIFT);
|
||||
v->ob_digit[i+k] = carry & MASK;
|
||||
carry = (carry >> SHIFT) - zz;
|
||||
}
|
||||
|
||||
if (i+k < size_v) {
|
||||
carry += v->ob_digit[i+k];
|
||||
v->ob_digit[i+k] = 0;
|
||||
}
|
||||
|
||||
if (carry == 0)
|
||||
a->ob_digit[k] = q;
|
||||
else {
|
||||
assert(carry == -1);
|
||||
a->ob_digit[k] = q-1;
|
||||
carry = 0;
|
||||
for (i = 0; i < size_w && i+k < size_v; ++i) {
|
||||
carry += v->ob_digit[i+k] + w->ob_digit[i];
|
||||
v->ob_digit[i+k] = carry & MASK;
|
||||
carry >>= SHIFT;
|
||||
}
|
||||
}
|
||||
} /* for j, k */
|
||||
|
||||
if (a != NULL)
|
||||
a = long_normalize(a);
|
||||
if (prem != 0) {
|
||||
if (a == NULL)
|
||||
*prem = NULL;
|
||||
else
|
||||
*prem = divrem1(v, d, &d);
|
||||
/* Using d as a dummy to receive the - unused - remainder */
|
||||
}
|
||||
DECREF(v);
|
||||
DECREF(w);
|
||||
return a;
|
||||
}
|
||||
|
||||
/* Methods */
|
||||
|
||||
static void
|
||||
long_dealloc(v)
|
||||
longobject *v;
|
||||
{
|
||||
DEL(v);
|
||||
}
|
||||
|
||||
static void
|
||||
long_print(v, fp, flags)
|
||||
longobject *v;
|
||||
FILE *fp;
|
||||
int flags;
|
||||
{
|
||||
stringobject *str = long_format(v, 10);
|
||||
if (str == NULL) {
|
||||
err_clear();
|
||||
fprintf(fp, "[err]");
|
||||
}
|
||||
else {
|
||||
fprintf(fp, "%sL", GETSTRINGVALUE(str));
|
||||
DECREF(str);
|
||||
}
|
||||
}
|
||||
|
||||
static object *
|
||||
long_repr(v)
|
||||
longobject *v;
|
||||
{
|
||||
stringobject *str = long_format(v, 10);
|
||||
if (str != NULL) {
|
||||
int len = getstringsize((object *)str);
|
||||
resizestring((object **)&str, len + 1);
|
||||
if (str != NULL)
|
||||
GETSTRINGVALUE(str)[len] = 'L';
|
||||
}
|
||||
return (object *)str;
|
||||
}
|
||||
|
||||
static int
|
||||
long_compare(a, b)
|
||||
longobject *a, *b;
|
||||
{
|
||||
int sign;
|
||||
|
||||
if (a->ob_size != b->ob_size)
|
||||
sign = a->ob_size - b->ob_size;
|
||||
else {
|
||||
int i = ABS(a->ob_size);
|
||||
while (--i >= 0 && a->ob_digit[i] == b->ob_digit[i])
|
||||
;
|
||||
if (i < 0)
|
||||
sign = 0;
|
||||
else
|
||||
sign = (int)a->ob_digit[i] - (int)b->ob_digit[i];
|
||||
}
|
||||
return sign;
|
||||
}
|
||||
|
||||
/* Add the absolute values of two long integers. */
|
||||
|
||||
static longobject *x_add PROTO((longobject *, longobject *));
|
||||
static longobject *
|
||||
x_add(a, b)
|
||||
longobject *a, *b;
|
||||
{
|
||||
int size_a = ABS(a->ob_size), size_b = ABS(b->ob_size);
|
||||
longobject *z;
|
||||
int i;
|
||||
digit carry = 0;
|
||||
|
||||
/* Ensure a is the larger of the two: */
|
||||
if (size_a < size_b) {
|
||||
{ longobject *temp = a; a = b; b = temp; }
|
||||
{ int size_temp = size_a; size_a = size_b; size_b = size_temp; }
|
||||
}
|
||||
z = alloclongobject(size_a+1);
|
||||
if (z == NULL)
|
||||
return NULL;
|
||||
for (i = 0; i < size_b; ++i) {
|
||||
carry += a->ob_digit[i] + b->ob_digit[i];
|
||||
z->ob_digit[i] = carry & MASK;
|
||||
/* The following assumes unsigned shifts don't
|
||||
propagate the sign bit. */
|
||||
carry >>= SHIFT;
|
||||
}
|
||||
for (; i < size_a; ++i) {
|
||||
carry += a->ob_digit[i];
|
||||
z->ob_digit[i] = carry & MASK;
|
||||
carry >>= SHIFT;
|
||||
}
|
||||
z->ob_digit[i] = carry;
|
||||
return long_normalize(z);
|
||||
}
|
||||
|
||||
/* Subtract the absolute values of two integers. */
|
||||
|
||||
static longobject *x_sub PROTO((longobject *, longobject *));
|
||||
static longobject *
|
||||
x_sub(a, b)
|
||||
longobject *a, *b;
|
||||
{
|
||||
int size_a = ABS(a->ob_size), size_b = ABS(b->ob_size);
|
||||
longobject *z;
|
||||
int i;
|
||||
int sign = 1;
|
||||
digit borrow = 0;
|
||||
|
||||
/* Ensure a is the larger of the two: */
|
||||
if (size_a < size_b) {
|
||||
sign = -1;
|
||||
{ longobject *temp = a; a = b; b = temp; }
|
||||
{ int size_temp = size_a; size_a = size_b; size_b = size_temp; }
|
||||
}
|
||||
else if (size_a == size_b) {
|
||||
/* Find highest digit where a and b differ: */
|
||||
i = size_a;
|
||||
while (--i >= 0 && a->ob_digit[i] == b->ob_digit[i])
|
||||
;
|
||||
if (i < 0)
|
||||
return alloclongobject(0);
|
||||
if (a->ob_digit[i] < b->ob_digit[i]) {
|
||||
sign = -1;
|
||||
{ longobject *temp = a; a = b; b = temp; }
|
||||
}
|
||||
size_a = size_b = i+1;
|
||||
}
|
||||
z = alloclongobject(size_a);
|
||||
if (z == NULL)
|
||||
return NULL;
|
||||
for (i = 0; i < size_b; ++i) {
|
||||
/* The following assumes unsigned arithmetic
|
||||
works module 2**N for some N>SHIFT. */
|
||||
borrow = a->ob_digit[i] - b->ob_digit[i] - borrow;
|
||||
z->ob_digit[i] = borrow & MASK;
|
||||
borrow >>= SHIFT;
|
||||
borrow &= 1; /* Keep only one sign bit */
|
||||
}
|
||||
for (; i < size_a; ++i) {
|
||||
borrow = a->ob_digit[i] - borrow;
|
||||
z->ob_digit[i] = borrow & MASK;
|
||||
borrow >>= SHIFT;
|
||||
}
|
||||
assert(borrow == 0);
|
||||
z->ob_size *= sign;
|
||||
return long_normalize(z);
|
||||
}
|
||||
|
||||
static object *
|
||||
long_add(a, w)
|
||||
longobject *a;
|
||||
object *w;
|
||||
{
|
||||
longobject *b;
|
||||
longobject *z;
|
||||
|
||||
if (!is_longobject(w)) {
|
||||
err_badarg();
|
||||
return NULL;
|
||||
}
|
||||
b = (longobject *)w;
|
||||
|
||||
if (a->ob_size < 0) {
|
||||
if (b->ob_size < 0) {
|
||||
z = x_add(a, b);
|
||||
if (z != NULL)
|
||||
z->ob_size = -z->ob_size;
|
||||
}
|
||||
else
|
||||
z = x_sub(b, a);
|
||||
}
|
||||
else {
|
||||
if (b->ob_size < 0)
|
||||
z = x_sub(a, b);
|
||||
else
|
||||
z = x_add(a, b);
|
||||
}
|
||||
return (object *)z;
|
||||
}
|
||||
|
||||
static object *
|
||||
long_sub(a, w)
|
||||
longobject *a;
|
||||
object *w;
|
||||
{
|
||||
longobject *b;
|
||||
longobject *z;
|
||||
|
||||
if (!is_longobject(w)) {
|
||||
err_badarg();
|
||||
return NULL;
|
||||
}
|
||||
b = (longobject *)w;
|
||||
|
||||
if (a->ob_size < 0) {
|
||||
if (b->ob_size < 0)
|
||||
z = x_sub(a, b);
|
||||
else
|
||||
z = x_add(a, b);
|
||||
if (z != NULL)
|
||||
z->ob_size = -z->ob_size;
|
||||
}
|
||||
else {
|
||||
if (b->ob_size < 0)
|
||||
z = x_add(a, b);
|
||||
else
|
||||
z = x_sub(a, b);
|
||||
}
|
||||
return (object *)z;
|
||||
}
|
||||
|
||||
static object *
|
||||
long_mul(a, w)
|
||||
longobject *a;
|
||||
object *w;
|
||||
{
|
||||
longobject *b;
|
||||
int size_a;
|
||||
int size_b;
|
||||
longobject *z;
|
||||
int i;
|
||||
|
||||
if (!is_longobject(w)) {
|
||||
err_badarg();
|
||||
return NULL;
|
||||
}
|
||||
b = (longobject *)w;
|
||||
size_a = ABS(a->ob_size);
|
||||
size_b = ABS(b->ob_size);
|
||||
z = alloclongobject(size_a + size_b);
|
||||
if (z == NULL)
|
||||
return NULL;
|
||||
for (i = 0; i < z->ob_size; ++i)
|
||||
z->ob_digit[i] = 0;
|
||||
for (i = 0; i < size_a; ++i) {
|
||||
twodigits carry = 0;
|
||||
twodigits f = a->ob_digit[i];
|
||||
int j;
|
||||
|
||||
if (z->ob_size >= INTRLIMIT && intrcheck()) {
|
||||
DECREF(z);
|
||||
err_set(KeyboardInterrupt);
|
||||
return NULL;
|
||||
}
|
||||
for (j = 0; j < size_b; ++j) {
|
||||
carry += z->ob_digit[i+j] + b->ob_digit[j] * f;
|
||||
z->ob_digit[i+j] = carry & MASK;
|
||||
carry >>= SHIFT;
|
||||
}
|
||||
for (; carry != 0; ++j) {
|
||||
assert(i+j < z->ob_size);
|
||||
carry += z->ob_digit[i+j];
|
||||
z->ob_digit[i+j] = carry & MASK;
|
||||
carry >>= SHIFT;
|
||||
}
|
||||
}
|
||||
if (a->ob_size < 0)
|
||||
z->ob_size = -z->ob_size;
|
||||
if (b->ob_size < 0)
|
||||
z->ob_size = -z->ob_size;
|
||||
return (object *) long_normalize(z);
|
||||
}
|
||||
|
||||
static object *
|
||||
long_div(v, w)
|
||||
longobject *v;
|
||||
register object *w;
|
||||
{
|
||||
if (!is_longobject(w)) {
|
||||
err_badarg();
|
||||
return NULL;
|
||||
}
|
||||
return (object *) long_divrem(v, (longobject *)w, (longobject **)0);
|
||||
}
|
||||
|
||||
static object *
|
||||
long_rem(v, w)
|
||||
longobject *v;
|
||||
register object *w;
|
||||
{
|
||||
longobject *div, *rem = NULL;
|
||||
if (!is_longobject(w)) {
|
||||
err_badarg();
|
||||
return NULL;
|
||||
}
|
||||
div = long_divrem(v, (longobject *)w, &rem);
|
||||
if (div == NULL) {
|
||||
XDECREF(rem);
|
||||
rem = NULL;
|
||||
}
|
||||
else {
|
||||
DECREF(div);
|
||||
}
|
||||
return (object *) rem;
|
||||
}
|
||||
|
||||
/* The expression a mod b has the value a - b*floor(a/b).
|
||||
The divrem function gives the remainder after division of
|
||||
|a| by |b|, with the sign of a. This is also expressed
|
||||
as a - b*trunc(a/b), if trunc truncates towards zero.
|
||||
Some examples:
|
||||
a b a rem b a mod b
|
||||
13 10 3 3
|
||||
-13 10 -3 7
|
||||
13 -10 3 -7
|
||||
-13 -10 -3 -3
|
||||
So, to get from rem to mod, we have to add b if a and b
|
||||
have different signs. */
|
||||
|
||||
static object *
|
||||
long_divmod(v, w)
|
||||
longobject *v;
|
||||
register object *w;
|
||||
{
|
||||
object *z;
|
||||
longobject *div, *rem;
|
||||
if (!is_longobject(w)) {
|
||||
err_badarg();
|
||||
return NULL;
|
||||
}
|
||||
div = long_divrem(v, (longobject *)w, &rem);
|
||||
if (div == NULL) {
|
||||
XDECREF(rem);
|
||||
return NULL;
|
||||
}
|
||||
if ((v->ob_size < 0) != (((longobject *)w)->ob_size < 0)) {
|
||||
longobject *temp = (longobject *) long_add(rem, w);
|
||||
DECREF(rem);
|
||||
rem = temp; /* XXX ??? was rem = b ??? */
|
||||
if (rem == NULL) {
|
||||
DECREF(div);
|
||||
return NULL;
|
||||
}
|
||||
}
|
||||
z = newtupleobject(2);
|
||||
if (z != NULL) {
|
||||
settupleitem(z, 0, (object *) div);
|
||||
settupleitem(z, 1, (object *) rem);
|
||||
}
|
||||
else {
|
||||
DECREF(div);
|
||||
DECREF(rem);
|
||||
}
|
||||
return z;
|
||||
}
|
||||
|
||||
static object *
|
||||
long_pow(v, w)
|
||||
longobject *v;
|
||||
register object *w;
|
||||
{
|
||||
if (!is_longobject(w)) {
|
||||
err_badarg();
|
||||
return NULL;
|
||||
}
|
||||
err_setstr(SystemError, "long power not implemented");
|
||||
return NULL;
|
||||
}
|
||||
|
||||
static object *
|
||||
long_pos(v)
|
||||
longobject *v;
|
||||
{
|
||||
INCREF(v);
|
||||
return (object *)v;
|
||||
}
|
||||
|
||||
static object *
|
||||
long_neg(v)
|
||||
longobject *v;
|
||||
{
|
||||
longobject *z;
|
||||
int i = v->ob_size;
|
||||
if (i == 0)
|
||||
return long_pos(v);
|
||||
i = ABS(i);
|
||||
z = alloclongobject(i);
|
||||
if (z != NULL) {
|
||||
z->ob_size = - v->ob_size;
|
||||
while (--i >= 0)
|
||||
z->ob_digit[i] = v->ob_digit[i];
|
||||
}
|
||||
return (object *)z;
|
||||
}
|
||||
|
||||
static object *
|
||||
long_abs(v)
|
||||
longobject *v;
|
||||
{
|
||||
if (v->ob_size < 0)
|
||||
return long_neg(v);
|
||||
else
|
||||
return long_pos(v);
|
||||
}
|
||||
|
||||
static number_methods long_as_number = {
|
||||
long_add, /*nb_add*/
|
||||
long_sub, /*nb_subtract*/
|
||||
long_mul, /*nb_multiply*/
|
||||
long_div, /*nb_divide*/
|
||||
long_rem, /*nb_remainder*/
|
||||
long_divmod, /*nb_divmod*/
|
||||
long_pow, /*nb_power*/
|
||||
long_neg, /*nb_negative*/
|
||||
long_pos, /*tp_positive*/
|
||||
long_abs, /*tp_absolute*/
|
||||
};
|
||||
|
||||
typeobject Longtype = {
|
||||
OB_HEAD_INIT(&Typetype)
|
||||
0,
|
||||
"long int",
|
||||
sizeof(longobject) - sizeof(digit),
|
||||
sizeof(digit),
|
||||
long_dealloc, /*tp_dealloc*/
|
||||
long_print, /*tp_print*/
|
||||
0, /*tp_getattr*/
|
||||
0, /*tp_setattr*/
|
||||
long_compare, /*tp_compare*/
|
||||
long_repr, /*tp_repr*/
|
||||
&long_as_number,/*tp_as_number*/
|
||||
0, /*tp_as_sequence*/
|
||||
0, /*tp_as_mapping*/
|
||||
};
|
Loading…
x
Reference in New Issue
Block a user