/* -*-c-*-
*
- * $Id: mp-arith.c,v 1.13 2002/10/15 00:19:40 mdw Exp $
+ * $Id: mp-arith.c,v 1.14 2002/10/15 19:18:31 mdw Exp $
*
* Basic arithmetic on multiprecision integers
*
/*----- Revision history --------------------------------------------------*
*
* $Log: mp-arith.c,v $
+ * Revision 1.14 2002/10/15 19:18:31 mdw
+ * New operation to negate numbers.
+ *
* Revision 1.13 2002/10/15 00:19:40 mdw
* Bit setting and clearing functions.
*
return (+1);
}
+/* --- @mp_neg@ --- *
+ *
+ * Arguments: @mp *d@ = destination
+ * @mp *a@ = argument
+ *
+ * Returns: The negation of the argument.
+ *
+ * Use: Negates its argument.
+ */
+
+mp *mp_neg(mp *d, mp *a)
+{
+ /* --- Surprising amounts of messing about required --- */
+
+ MP_SHRINK(a);
+ MP_COPY(a);
+ if (d) MP_DROP(d);
+ if (a->v == a->vl) {
+ return (a);
+ }
+ MP_DEST(a, MP_LEN(a), a->f);
+ a->f ^= MP_NEG;
+ return (a);
+}
+
/* --- @mp_bitop@ --- *
*
* Arguments: @mp *d@ = destination
return (ok);
}
+static int tneg(dstr *v)
+{
+ mp *a = *(mp **)v[0].buf;
+ mp *r = *(mp **)v[1].buf;
+ int ok = 1;
+ mp *n = mp_neg(MP_NEW, a);
+ if (!MP_EQ(r, n)) {
+ ok = 0;
+ fprintf(stderr, "\n*** neg failed\n");
+ fputs("\n*** a = ", stderr); mp_writefile(a, stderr, 10);
+ fputs("\n*** r = ", stderr); mp_writefile(r, stderr, 10);
+ fputs("\n*** n = ", stderr); mp_writefile(n, stderr, 10);
+ fputc('\n', stderr);
+ }
+ mp_drop(n);
+ n = mp_neg(a, a);
+ if (!MP_EQ(r, n)) {
+ ok = 0;
+ fprintf(stderr, "\n*** neg failed\n");
+ fputs("\n*** a* = ", stderr); mp_writefile(a, stderr, 10);
+ fputs("\n*** r = ", stderr); mp_writefile(r, stderr, 10);
+ fputs("\n*** n = ", stderr); mp_writefile(n, stderr, 10);
+ fputc('\n', stderr);
+ }
+ mp_drop(a);
+ mp_drop(r);
+ assert(mparena_count(MPARENA_GLOBAL) == 0);
+ return (ok);
+}
+
static int todd(dstr *v)
{
mp *a = *(mp **)v[0].buf;
{ "div", tdiv, { &type_mp, &type_mp, &type_mp, &type_mp, 0 } },
{ "bin2c", tbin, { &type_string, &type_mp, &type_mp, &type_mp, 0 } },
{ "odd", todd, { &type_mp, &type_uint32, &type_mp, 0 } },
+ { "neg", tneg, { &type_mp, &type_mp, 0 } },
{ 0, 0, { 0 } },
};
/* -*-c-*-
*
- * $Id: mp.h,v 1.14 2002/10/15 00:19:40 mdw Exp $
+ * $Id: mp.h,v 1.15 2002/10/15 19:18:31 mdw Exp $
*
* Simple multiprecision arithmetic
*
/*----- Revision history --------------------------------------------------*
*
* $Log: mp.h,v $
+ * Revision 1.15 2002/10/15 19:18:31 mdw
+ * New operation to negate numbers.
+ *
* Revision 1.14 2002/10/15 00:19:40 mdw
* Bit setting and clearing functions.
*
extern void mp_storeb2c(const mp */*m*/, void */*pv*/, size_t /*sz*/);
-/*----- Simple arithmetic -------------------------------------------------*/
+/*----- Bit operations ----------------------------------------------------*/
-/* --- @mp_lsl@, @mp_lsr@ --- *
+/* --- @mp_not@ --- *
*
* Arguments: @mp *d@ = destination
* @mp *a@ = source
- * @size_t n@ = number of bits to move
*
- * Returns: Result, @a@ shifted left or right by @n@.
- */
+ * Returns: The bitwise complement of the source.
+ */
-extern mp *mp_lsl(mp */*d*/, mp */*a*/, size_t /*n*/);
-extern mp *mp_lsr(mp */*d*/, mp */*a*/, size_t /*n*/);
+extern mp *mp_not(mp */*d*/, mp */*a*/);
-/* --- @mp_lsl2c@, @mp_lsr2c@ --- *
+/* --- @mp_bitop@ --- *
*
* Arguments: @mp *d@ = destination
- * @mp *a@ = source
- * @size_t n@ = number of bits to move
+ * @mp *a, *b@ = sources
*
- * Returns: Result, @a@ shifted left or right by @n@. Handles the
- * pretence of sign-extension for negative numbers.
+ * Returns: The result of the given bitwise operation. These functions
+ * don't handle negative numbers at all sensibly. For that, use
+ * the @...2c@ variants. The functions are named after the
+ * truth tables they generate:
+ *
+ * a: 0011
+ * b: 0101
+ * @mpx_bitXXXX@
*/
-extern mp *mp_lsl2c(mp */*d*/, mp */*a*/, size_t /*n*/);
-extern mp *mp_lsr2c(mp */*d*/, mp */*a*/, size_t /*n*/);
+#define MP_BITDECL(string) \
+ extern mp *mp_bit##string(mp */*d*/, mp */*a*/, mp */*b*/);
+MPX_DOBIN(MP_BITDECL)
-/* --- @mp_testbit@ --- *
- *
- * Arguments: @mp *x@ = a large integer
- * @unsigned long n@ = which bit to test
+/* --- @mp_[n]and@, @mp_[n]or@, @mp_[n]xor@, @mp_not@ --- *
*
- * Returns: Nonzero if the bit is set, zero if not.
+ * Synonyms for the commonly-used functions.
*/
-extern int mp_testbit(mp */*x*/, unsigned long /*n*/);
+#define mp_and mp_bit0001
+#define mp_or mp_bit0111
+#define mp_nand mp_bit1110
+#define mp_nor mp_bit1000
+#define mp_xor mp_bit0110
-/* --- @mp_testbit2c@ --- *
+/* --- @mp_testbit@ --- *
*
* Arguments: @mp *x@ = a large integer
* @unsigned long n@ = which bit to test
*
- * Returns: Nonzero if the bit is set, zero if not. Fakes up two's
- * complement representation.
- */
-
-extern int mp_testbit2c(mp */*x*/, unsigned long /*n*/);
-
-/* --- @mp_eq@ --- *
- *
- * Arguments: @const mp *a, *b@ = two numbers
- *
- * Returns: Nonzero if the numbers are equal.
- */
-
-extern int mp_eq(const mp */*a*/, const mp */*b*/);
-
-#define MP_EQ(a, b) \
- ((((a)->f ^ (b)->f) & MP_NEG) == 0 && \
- mpx_ueq((a)->v, (a)->vl, (b)->v, (b)->vl))
-
-/* --- @mp_cmp@ --- *
- *
- * Arguments: @const mp *a, *b@ = two numbers
- *
- * Returns: Less than, equal to or greater than zero, according to
- * whether @a@ is less than, equal to or greater than @b@.
+ * Returns: Nonzero if the bit is set, zero if not.
*/
-extern int mp_cmp(const mp */*a*/, const mp */*b*/);
-
-#define MP_CMP(a, op, b) (mp_cmp((a), (b)) op 0)
+extern int mp_testbit(mp */*x*/, unsigned long /*n*/);
/* --- @mp_setbit@, @mp_clearbit@ --- *
*
extern mp *mp_setbit(mp */*d*/, mp */*x*/, unsigned long /*n*/);
extern mp *mp_clearbit(mp */*d*/, mp */*x*/, unsigned long /*n*/);
-/* --- @mp_setbit2c@, @mp_clearbit2c@ --- *
- *
- * Arguments: @mp *d@ = a destination
- * @mp *x@ = a large integer
- * @unsigned long n@ = which bit to modify
- *
- * Returns: The argument @x@, with the appropriate bit set or cleared.
- * Fakes up two's complement representation.
- */
-
-extern mp *mp_setbit2c(mp */*d*/, mp */*x*/, unsigned long /*n*/);
-extern mp *mp_clearbit2c(mp */*d*/, mp */*x*/, unsigned long /*n*/);
-
-/* --- @mp_bitop@ --- *
+/* --- @mp_lsl@, @mp_lsr@ --- *
*
* Arguments: @mp *d@ = destination
- * @mp *a, *b@ = sources
- *
- * Returns: The result of the given bitwise operation. These functions
- * don't handle negative numbers at all sensibly. For that, use
- * the @...2c@ variants. The functions are named after the
- * truth tables they generate:
- *
- * a: 0011
- * b: 0101
- * @mpx_bitXXXX@
- */
-
-#define MP_BITDECL(string) \
- extern mp *mp_bit##string(mp */*d*/, mp */*a*/, mp */*b*/);
-MPX_DOBIN(MP_BITDECL)
-
-/* --- @mp_[n]and@, @mp_[n]or@, @mp_[n]xor@, @mp_not@ --- *
+ * @mp *a@ = source
+ * @size_t n@ = number of bits to move
*
- * Synonyms for the commonly-used functions.
+ * Returns: Result, @a@ shifted left or right by @n@.
*/
-#define mp_and mp_bit0001
-#define mp_or mp_bit0111
-#define mp_nand mp_bit1110
-#define mp_nor mp_bit1000
-#define mp_xor mp_bit0110
+extern mp *mp_lsl(mp */*d*/, mp */*a*/, size_t /*n*/);
+extern mp *mp_lsr(mp */*d*/, mp */*a*/, size_t /*n*/);
-/* --- @mp_not@ --- *
+/* --- @mp_not2c@ --- *
*
* Arguments: @mp *d@ = destination
* @mp *a@ = source
*
- * Returns: The bitwise complement of the source.
- */
+ * Returns: The sign-extended complement of the argument.
+ */
-extern mp *mp_not(mp */*d*/, mp */*a*/);
+extern mp *mp_not2c(mp */*d*/, mp */*a*/);
/* --- @mp_bitop2c@ --- *
*
#define mp_nor2c mp_bit10002c
#define mp_xor2c mp_bit01102c
-/* --- @mp_not2c@ --- *
+/* --- @mp_lsl2c@, @mp_lsr2c@ --- *
*
* Arguments: @mp *d@ = destination
* @mp *a@ = source
+ * @size_t n@ = number of bits to move
*
- * Returns: The sign-extended complement of the argument.
+ * Returns: Result, @a@ shifted left or right by @n@. Handles the
+ * pretence of sign-extension for negative numbers.
*/
-extern mp *mp_not2c(mp */*d*/, mp */*a*/);
+extern mp *mp_lsl2c(mp */*d*/, mp */*a*/, size_t /*n*/);
+extern mp *mp_lsr2c(mp */*d*/, mp */*a*/, size_t /*n*/);
+
+/* --- @mp_testbit2c@ --- *
+ *
+ * Arguments: @mp *x@ = a large integer
+ * @unsigned long n@ = which bit to test
+ *
+ * Returns: Nonzero if the bit is set, zero if not. Fakes up two's
+ * complement representation.
+ */
+
+extern int mp_testbit2c(mp */*x*/, unsigned long /*n*/);
+
+/* --- @mp_setbit2c@, @mp_clearbit2c@ --- *
+ *
+ * Arguments: @mp *d@ = a destination
+ * @mp *x@ = a large integer
+ * @unsigned long n@ = which bit to modify
+ *
+ * Returns: The argument @x@, with the appropriate bit set or cleared.
+ * Fakes up two's complement representation.
+ */
+
+extern mp *mp_setbit2c(mp */*d*/, mp */*x*/, unsigned long /*n*/);
+extern mp *mp_clearbit2c(mp */*d*/, mp */*x*/, unsigned long /*n*/);
+
+/*----- Comparisons -------------------------------------------------------*/
+
+/* --- @mp_eq@ --- *
+ *
+ * Arguments: @const mp *a, *b@ = two numbers
+ *
+ * Returns: Nonzero if the numbers are equal.
+ */
+
+extern int mp_eq(const mp */*a*/, const mp */*b*/);
+
+#define MP_EQ(a, b) \
+ ((((a)->f ^ (b)->f) & MP_NEG) == 0 && \
+ mpx_ueq((a)->v, (a)->vl, (b)->v, (b)->vl))
+
+/* --- @mp_cmp@ --- *
+ *
+ * Arguments: @const mp *a, *b@ = two numbers
+ *
+ * Returns: Less than, equal to or greater than zero, according to
+ * whether @a@ is less than, equal to or greater than @b@.
+ */
+
+extern int mp_cmp(const mp */*a*/, const mp */*b*/);
+
+#define MP_CMP(a, op, b) (mp_cmp((a), (b)) op 0)
+
+/*----- Arithmetic operations ---------------------------------------------*/
+
+/* --- @mp_neg@ --- *
+ *
+ * Arguments: @mp *d@ = destination
+ * @mp *a@ = argument
+ *
+ * Returns: The negation of the argument.
+ *
+ * Use: Negates its argument.
+ */
+
+extern mp *mp_neg(mp */*d*/, mp */*a*/);
/* --- @mp_add@ --- *
*