--- /dev/null
+/* -*-c-*-
+ *
+ * Basic arithmetic on multiprecision integers
+ *
+ * (c) 1999 Straylight/Edgeware
+ */
+
+/*----- Licensing notice --------------------------------------------------*
+ *
+ * This file is part of Catacomb.
+ *
+ * Catacomb is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU Library General Public License as
+ * published by the Free Software Foundation; either version 2 of the
+ * License, or (at your option) any later version.
+ *
+ * Catacomb 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 Library General Public License for more details.
+ *
+ * You should have received a copy of the GNU Library General Public
+ * License along with Catacomb; if not, write to the Free
+ * Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+ * MA 02111-1307, USA.
+ */
+
+/*----- Header files ------------------------------------------------------*/
+
+#include "mp.h"
+
+/*----- Macros ------------------------------------------------------------*/
+
+#define MAX(x, y) ((x) >= (y) ? (x) : (y))
+
+/*----- Main code ---------------------------------------------------------*/
+
+/* --- @mp_lsl@, @mp_lslc@, @mp_lsr@ --- *
+ *
+ * Arguments: @mp *d@ = destination
+ * @mp *a@ = source
+ * @size_t n@ = number of bits to move
+ *
+ * Returns: Result, @a@ shifted left or right by @n@.
+ *
+ * Use: Bitwise shift operators. @mp_lslc@ fills the bits introduced
+ * on the right with ones instead of zeroes: it's used
+ * internally by @mp_lsl2c@, though it may be useful on its
+ * own.
+ */
+
+mp *mp_lsl(mp *d, mp *a, size_t n)
+{
+ MP_DEST(d, MP_LEN(a) + (n + MPW_BITS - 1) / MPW_BITS, a->f);
+ mpx_lsl(d->v, d->vl, a->v, a->vl, n);
+ d->f = a->f & (MP_NEG | MP_BURN);
+ MP_SHRINK(d);
+ return (d);
+}
+
+mp *mp_lslc(mp *d, mp *a, size_t n)
+{
+ MP_DEST(d, MP_LEN(a) + (n + MPW_BITS - 1) / MPW_BITS, a->f);
+ mpx_lslc(d->v, d->vl, a->v, a->vl, n);
+ d->f = a->f & (MP_NEG | MP_BURN);
+ MP_SHRINK(d);
+ return (d);
+}
+
+mp *mp_lsr(mp *d, mp *a, size_t n)
+{
+ MP_DEST(d, MP_LEN(a), a->f);
+ mpx_lsr(d->v, d->vl, a->v, a->vl, n);
+ d->f = a->f & (MP_NEG | MP_BURN);
+ MP_SHRINK(d);
+ return (d);
+}
+
+/* --- @mp_lsl2c@, @mp_lsr2c@ --- *
+ *
+ * Arguments: @mp *d@ = destination
+ * @mp *a@ = source
+ * @size_t n@ = number of bits to move
+ *
+ * Returns: Result, @a@ shifted left or right by @n@. Handles the
+ * pretence of sign-extension for negative numbers.
+ */
+
+mp *mp_lsl2c(mp *d, mp *a, size_t n)
+{
+ if (!MP_NEGP(a))
+ return (mp_lsl(d, a, n));
+ d = mp_not2c(d, a);
+ d = mp_lslc(d, d, n);
+ d = mp_not2c(d, d);
+ return (d);
+}
+
+mp *mp_lsr2c(mp *d, mp *a, size_t n)
+{
+ if (!MP_NEGP(a))
+ return (mp_lsr(d, a, n));
+ d = mp_not2c(d, a);
+ d = mp_lsr(d, d, n);
+ d = mp_not2c(d, d);
+ return (d);
+}
+
+/* --- @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.
+ */
+
+int mp_testbit(mp *x, unsigned long n)
+{
+ if (n > MPW_BITS * MP_LEN(x))
+ return (0);
+ return ((x->v[n/MPW_BITS] >> n%MPW_BITS) & 1u);
+}
+
+/* --- @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.
+ */
+
+int mp_testbit2c(mp *x, unsigned long n)
+{
+ int r;
+ if (!MP_NEGP(x))
+ return (mp_testbit(x, n));
+ x = mp_not2c(MP_NEW, x);
+ r = !mp_testbit(x, n);
+ MP_DROP(x);
+ return (r);
+}
+
+/* --- @mp_setbit@, @mp_clearbit@ --- *
+ *
+ * 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.
+ */
+
+mp *mp_setbit(mp *d, mp *x, unsigned long n)
+{
+ size_t rq;
+
+ rq = n + MPW_BITS; rq -= rq % MPW_BITS;
+ if (d != x) {
+ if (d) MP_DROP(d);
+ d = MP_COPY(x);
+ }
+ MP_DEST(d, rq, x->f & (MP_NEG | MP_BURN));
+ d->v[n/MPW_BITS] |= 1 << n%MPW_BITS;
+ return (d);
+}
+
+mp *mp_clearbit(mp *d, mp *x, unsigned long n)
+{
+ size_t rq;
+
+ rq = n + MPW_BITS; rq -= rq % MPW_BITS;
+ if (d != x) {
+ if (d) MP_DROP(d);
+ d = MP_COPY(x);
+ }
+ MP_DEST(d, rq, x->f & (MP_NEG | MP_BURN));
+ d->v[n/MPW_BITS] &= ~(1 << n%MPW_BITS);
+ return (d);
+}
+
+/* --- @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.
+ */
+
+mp *mp_setbit2c(mp *d, mp *x, unsigned long n)
+{
+ if (!MP_NEGP(x))
+ return mp_setbit(d, x, n);
+ d = mp_not2c(d, x);
+ d = mp_clearbit(d, d, n);
+ d = mp_not2c(d, d);
+ return (d);
+}
+
+mp *mp_clearbit2c(mp *d, mp *x, unsigned long n)
+{
+ if (!MP_NEGP(x))
+ return mp_clearbit(d, x, n);
+ d = mp_not2c(d, x);
+ d = mp_setbit(d, d, n);
+ d = mp_not2c(d, d);
+ return (d);
+}
+
+/* --- @mp_eq@ --- *
+ *
+ * Arguments: @const mp *a, *b@ = two numbers
+ *
+ * Returns: Nonzero if the numbers are equal.
+ */
+
+int mp_eq(const mp *a, const mp *b) { return (MP_EQ(a, b)); }
+
+/* --- @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@.
+ */
+
+int mp_cmp(const mp *a, const mp *b)
+{
+ if (!((a->f ^ b->f) & MP_NEG)) {
+ if (a->f & MP_NEG)
+ return (-mpx_ucmp(a->v, a->vl, b->v, b->vl));
+ else
+ return (mpx_ucmp(a->v, a->vl, b->v, b->vl));
+ } else if (a->f & MP_NEG)
+ return (-1);
+ else
+ 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
+ * @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_BITBINOP(string) \
+ \
+mp *mp_bit##string(mp *d, mp *a, mp *b) \
+{ \
+ MP_DEST(d, MAX(MP_LEN(a), MP_LEN(b)), (a->f | b->f) & ~MP_NEG); \
+ mpx_bit##string(d->v, d->vl, a->v, a->vl, b->v, b->vl); \
+ d->f = (a->f | b->f) & MP_BURN; \
+ MP_SHRINK(d); \
+ return (d); \
+}
+
+MPX_DOBIN(MP_BITBINOP)
+
+/* --- @mp_not@ --- *
+ *
+ * Arguments: @mp *d@ = destination
+ * @mp *a@ = source
+ *
+ * Returns: The bitwise complement of the source.
+ */
+
+mp *mp_not(mp *d, mp *a)
+{
+ MP_DEST(d, MP_LEN(a), a->f);
+ mpx_not(d->v, d->vl, a->v, a->vl);
+ d->f = a->f & MP_BURN;
+ MP_SHRINK(d);
+ return (d);
+}
+
+/* --- @mp_bitop2c@ --- *
+ *
+ * Arguments: @mp *d@ = destination
+ * @mp *a, *b@ = sources
+ *
+ * Returns: The result of the given bitwise operation. Negative numbers
+ * are treated as two's complement, sign-extended infinitely to
+ * the left. The functions are named after the truth tables
+ * they generate:
+ *
+ * a: 0011
+ * b: 0101
+ * @mpx_bitXXXX@
+ */
+
+/* --- How this actually works --- *
+ *
+ * The two arguments are inverted (with a sign-swap) if they're currently
+ * negative. This means that we end up using a different function (one which
+ * reinverts as we go) for the main operation. Also, if the sign would be
+ * negative at the end, we preinvert the output and then invert again with a
+ * sign-swap.
+ *
+ * Start with: wxyz WXYZ
+ * If @a@ negative: yzwx or YZWX
+ * If @b@ negative: xwzy XWZY
+ * If both negative: zyxw ZYXW
+ */
+
+#define MP_BIT2CBINOP(n, base, an, bn, abn, p_base, p_an, p_bn, p_abn) \
+ \
+mp *mp_bit##n##2c(mp *d, mp *a, mp *b) \
+{ \
+ if (!((a->f | b->f) & MP_NEG)) { /* Both positive */ \
+ d = mp_bit##base(d, a, b); \
+ p_base \
+ } else if (!(b->f & MP_NEG)) { /* Only @b@ positive */ \
+ MP_COPY(b); \
+ d = mp_not2c(d, a); \
+ d = mp_bit##an(d, d, b); \
+ MP_DROP(b); \
+ p_an \
+ } else if (!(a->f & MP_NEG)) { /* Only @a@ positive */ \
+ MP_COPY(a); \
+ d = mp_not2c(d, b); \
+ d = mp_bit##bn(d, a, d); \
+ MP_DROP(a); \
+ p_bn \
+ } else { /* Both negative */ \
+ mp *t = mp_not2c(MP_NEW, a); \
+ d = mp_not2c(d, b); \
+ d = mp_bit##abn(d, t, d); \
+ MP_DROP(t); \
+ p_abn \
+ } \
+ return (d); \
+} \
+
+#define NEG d = mp_not2c(d, d);
+#define POS
+MP_BIT2CBINOP(0000, 0000, 0000, 0000, 0000, POS, POS, POS, POS)
+MP_BIT2CBINOP(0001, 0001, 0100, 0010, 0111, POS, POS, POS, NEG)
+MP_BIT2CBINOP(0010, 0010, 0111, 0001, 0100, POS, NEG, POS, POS)
+MP_BIT2CBINOP(0011, 0011, 0011, 0011, 0011, POS, NEG, POS, NEG)
+MP_BIT2CBINOP(0100, 0100, 0001, 0111, 0010, POS, POS, NEG, POS)
+MP_BIT2CBINOP(0101, 0101, 0101, 0101, 0101, POS, POS, NEG, NEG)
+MP_BIT2CBINOP(0110, 0110, 0110, 0110, 0110, POS, NEG, NEG, POS)
+MP_BIT2CBINOP(0111, 0111, 0010, 0100, 0001, POS, NEG, NEG, NEG)
+MP_BIT2CBINOP(1000, 0111, 0010, 0100, 0001, NEG, POS, POS, POS)
+MP_BIT2CBINOP(1001, 0110, 0110, 0110, 0110, NEG, POS, POS, NEG)
+MP_BIT2CBINOP(1010, 0101, 0101, 0101, 0101, NEG, NEG, POS, POS)
+MP_BIT2CBINOP(1011, 0100, 0001, 0111, 0010, NEG, NEG, POS, NEG)
+MP_BIT2CBINOP(1100, 0011, 0011, 0011, 0011, NEG, POS, NEG, POS)
+MP_BIT2CBINOP(1101, 0010, 0111, 0001, 0100, NEG, POS, NEG, NEG)
+MP_BIT2CBINOP(1110, 0001, 0100, 0010, 0111, NEG, NEG, NEG, POS)
+MP_BIT2CBINOP(1111, 0000, 0000, 0000, 0000, NEG, NEG, NEG, NEG)
+#undef NEG
+#undef POS
+
+/* --- @mp_not2c@ --- *
+ *
+ * Arguments: @mp *d@ = destination
+ * @mp *a@ = source
+ *
+ * Returns: The sign-extended complement of the argument.
+ */
+
+mp *mp_not2c(mp *d, mp *a)
+{
+ mpw one = 1;
+
+ MP_DEST(d, MP_LEN(a) + 1, a->f);
+ if (d == a) {
+ if (MP_NEGP(a))
+ MPX_USUBN(d->v, d->vl, 1);
+ else
+ MPX_UADDN(d->v, d->vl, 1);
+ } else {
+ if (MP_NEGP(a))
+ mpx_usub(d->v, d->vl, a->v, a->vl, &one, &one + 1);
+ else
+ mpx_uadd(d->v, d->vl, a->v, a->vl, &one, &one + 1);
+ }
+ d->f = (a->f & (MP_NEG | MP_BURN)) ^ MP_NEG;
+ MP_SHRINK(d);
+ return (d);
+}
+
+/* --- @mp_add@ --- *
+ *
+ * Arguments: @mp *d@ = destination
+ * @mp *a, *b@ = sources
+ *
+ * Returns: Result, @a@ added to @b@.
+ */
+
+mp *mp_add(mp *d, mp *a, mp *b)
+{
+ MP_DEST(d, MAX(MP_LEN(a), MP_LEN(b)) + 1, a->f | b->f);
+ if (!((a->f ^ b->f) & MP_NEG))
+ mpx_uadd(d->v, d->vl, a->v, a->vl, b->v, b->vl);
+ else {
+ if (MPX_UCMP(a->v, a->vl, <, b->v, b->vl)) {
+ mp *t = a; a = b; b = t;
+ }
+ mpx_usub(d->v, d->vl, a->v, a->vl, b->v, b->vl);
+ }
+ d->f = ((a->f | b->f) & MP_BURN) | (a->f & MP_NEG);
+ MP_SHRINK(d);
+ return (d);
+}
+
+/* --- @mp_sub@ --- *
+ *
+ * Arguments: @mp *d@ = destination
+ * @mp *a, *b@ = sources
+ *
+ * Returns: Result, @b@ subtracted from @a@.
+ */
+
+mp *mp_sub(mp *d, mp *a, mp *b)
+{
+ unsigned sgn = 0;
+ MP_DEST(d, MAX(MP_LEN(a), MP_LEN(b)) + 1, a->f | b->f);
+ if ((a->f ^ b->f) & MP_NEG)
+ mpx_uadd(d->v, d->vl, a->v, a->vl, b->v, b->vl);
+ else {
+ if (MPX_UCMP(a->v, a->vl, <, b->v, b->vl)) {
+ mp *t = a; a = b; b = t;
+ sgn = MP_NEG;
+ }
+ mpx_usub(d->v, d->vl, a->v, a->vl, b->v, b->vl);
+ }
+ d->f = ((a->f | b->f) & MP_BURN) | ((a->f ^ sgn) & MP_NEG);
+ MP_SHRINK(d);
+ return (d);
+}
+
+/* --- @mp_mul@ --- *
+ *
+ * Arguments: @mp *d@ = destination
+ * @mp *a, *b@ = sources
+ *
+ * Returns: Result, @a@ multiplied by @b@.
+ */
+
+mp *mp_mul(mp *d, mp *a, mp *b)
+{
+ a = MP_COPY(a);
+ b = MP_COPY(b);
+
+ if (MP_LEN(a) <= MPK_THRESH || MP_LEN(b) <= MPK_THRESH) {
+ MP_DEST(d, MP_LEN(a) + MP_LEN(b), a->f | b->f | MP_UNDEF);
+ mpx_umul(d->v, d->vl, a->v, a->vl, b->v, b->vl);
+ } else {
+ size_t m = MAX(MP_LEN(a), MP_LEN(b));
+ mpw *s;
+ MP_DEST(d, 3 * m, a->f | b->f | MP_UNDEF);
+ s = mpalloc(d->a, 5 * m);
+ mpx_kmul(d->v, d->vl, a->v, a->vl, b->v, b->vl, s, s + 5 * m);
+ mpfree(d->a, s);
+ }
+
+ d->f = ((a->f | b->f) & MP_BURN) | ((a->f ^ b->f) & MP_NEG);
+ MP_SHRINK(d);
+ MP_DROP(a);
+ MP_DROP(b);
+ return (d);
+}
+
+/* --- @mp_sqr@ --- *
+ *
+ * Arguments: @mp *d@ = destination
+ * @mp *a@ = source
+ *
+ * Returns: Result, @a@ squared.
+ */
+
+mp *mp_sqr(mp *d, mp *a)
+{
+ size_t m = MP_LEN(a);
+
+ a = MP_COPY(a);
+ if (m > MPK_THRESH) {
+ mpw *s;
+ MP_DEST(d, 3 * m, a->f | MP_UNDEF);
+ s = mpalloc(d->a, 5 * m);
+ mpx_ksqr(d->v, d->vl, a->v, a->vl, s, s + 5 * m);
+ mpfree(d->a, s);
+ } else {
+ MP_DEST(d, 2 * m + 2, a->f | MP_UNDEF);
+ mpx_usqr(d->v, d->vl, a->v, a->vl);
+ }
+ d->f = a->f & MP_BURN;
+ MP_SHRINK(d);
+ MP_DROP(a);
+ return (d);
+}
+
+/* --- @mp_div@ --- *
+ *
+ * Arguments: @mp **qq, **rr@ = destination, quotient and remainder
+ * @mp *a, *b@ = sources
+ *
+ * Use: Calculates the quotient and remainder when @a@ is divided by
+ * @b@. The destinations @*qq@ and @*rr@ must be distinct.
+ * Either of @qq@ or @rr@ may be null to indicate that the
+ * result is irrelevant. (Discarding both results is silly.)
+ * There is a performance advantage if @a == *rr@.
+ *
+ * The behaviour when @a@ and @b@ have the same sign is
+ * straightforward. When the signs differ, this implementation
+ * chooses @r@ to have the same sign as @b@, rather than the
+ * more normal choice that the remainder has the same sign as
+ * the dividend. This makes modular arithmetic a little more
+ * straightforward.
+ */
+
+void mp_div(mp **qq, mp **rr, mp *a, mp *b)
+ {
+ mp *r = rr ? *rr : MP_NEW;
+ mp *q = qq ? *qq : MP_NEW;
+ mpw *sv, *svl;
+
+ /* --- Set the remainder up right --- *
+ *
+ * Just in case the divisor is larger, be able to cope with this. It's not
+ * important in @mpx_udiv@, but it is here because of the sign correction.
+ */
+
+ b = MP_COPY(b);
+ a = MP_COPY(a);
+ if (r)
+ MP_DROP(r);
+ r = a;
+ MP_DEST(r, MAX(MP_LEN(a), MP_LEN(b)) + 2, a->f | b->f);
+
+ /* --- Fix up the quotient too --- */
+
+ r = MP_COPY(r);
+ MP_DEST(q, MP_LEN(r), r->f | MP_UNDEF);
+ MP_DROP(r);
+
+ /* --- Set up some temporary workspace --- */
+
+ {
+ size_t rq = MP_LEN(b) + 1;
+ sv = mpalloc(r->a, rq);
+ svl = sv + rq;
+ }
+
+ /* --- Perform the calculation --- */
+
+ mpx_udiv(q->v, q->vl, r->v, r->vl, b->v, b->vl, sv, svl);
+
+ /* --- Sort out the sign of the results --- *
+ *
+ * If the signs of the arguments differ, and the remainder is nonzero, I
+ * must add one to the absolute value of the quotient and subtract the
+ * remainder from @b@.
+ */
+
+ q->f = ((r->f | b->f) & MP_BURN) | ((r->f ^ b->f) & MP_NEG);
+ if (MP_NEGP(q)) {
+ mpw *v;
+ for (v = r->v; v < r->vl; v++) {
+ if (*v) {
+ MPX_UADDN(q->v, q->vl, 1);
+ mpx_usub(r->v, r->vl, b->v, b->vl, r->v, r->vl);
+ break;
+ }
+ }
+ }
+
+ r->f = ((r->f | b->f) & MP_BURN) | (b->f & MP_NEG);
+
+ /* --- Store the return values --- */
+
+ mpfree(r->a, sv);
+ MP_DROP(b);
+
+ if (!qq)
+ MP_DROP(q);
+ else {
+ MP_SHRINK(q);
+ *qq = q;
+ }
+
+ if (!rr)
+ MP_DROP(r);
+ else {
+ MP_SHRINK(r);
+ *rr = r;
+ }
+}
+
+/* --- @mp_odd@ --- *
+ *
+ * Arguments: @mp *d@ = pointer to destination integer
+ * @mp *m@ = pointer to source integer
+ * @size_t *s@ = where to store the power of 2
+ *
+ * Returns: An odd integer integer %$t$% such that %$m = 2^s t$%.
+ *
+ * Use: Computes a power of two and an odd integer which, when
+ * multiplied, give a specified result. This sort of thing is
+ * useful in number theory quite often.
+ */
+
+mp *mp_odd(mp *d, mp *m, size_t *s)
+{
+ size_t ss = 0;
+ const mpw *v, *vl;
+
+ v = m->v;
+ vl = m->vl;
+ for (; !*v && v < vl; v++)
+ ss += MPW_BITS;
+ if (v >= vl)
+ ss = 0;
+ else {
+ mpw x = *v;
+ unsigned z = MPW_P2;
+ mpw mask = ((mpw)1 << z) - 1;
+
+ while (z) {
+ if (!(x & mask)) {
+ x >>= z;
+ ss += z;
+ }
+ z >>= 1;
+ mask >>= z;
+ }
+ }
+
+ *s = ss;
+ return (mp_lsr(d, m, ss));
+}
+
+/*----- Test rig ----------------------------------------------------------*/
+
+#ifdef TEST_RIG
+
+static int verify(const char *op, mp *expect, mp *result, mp *a, mp *b)
+{
+ if (!MP_EQ(expect, result)) {
+ fprintf(stderr, "\n*** %s failed", op);
+ fputs("\n*** a = ", stderr); mp_writefile(a, stderr, 10);
+ fputs("\n*** b = ", stderr); mp_writefile(b, stderr, 10);
+ fputs("\n*** result = ", stderr); mp_writefile(result, stderr, 10);
+ fputs("\n*** expect = ", stderr); mp_writefile(expect, stderr, 10);
+ fputc('\n', stderr);
+ return (0);
+ }
+ return (1);
+}
+
+#define RIG(name, op) \
+ static int t##name(dstr *v) \
+ { \
+ mp *a = *(mp **)v[0].buf; \
+ mpw n = *(int *)v[1].buf; \
+ mp b; \
+ mp *r = *(mp **)v[2].buf; \
+ mp *c = op(MP_NEW, a, n); \
+ int ok; \
+ mp_build(&b, &n, &n + 1); \
+ ok = verify(#name, r, c, a, &b); \
+ mp_drop(a); mp_drop(c); mp_drop(r); \
+ assert(mparena_count(MPARENA_GLOBAL) == 0); \
+ return (ok); \
+ }
+
+RIG(lsl, mp_lsl)
+RIG(lsr, mp_lsr)
+RIG(lsl2c, mp_lsl2c)
+RIG(lsr2c, mp_lsr2c)
+
+#undef RIG
+
+#define RIG(name, op) \
+ static int t##name(dstr *v) \
+ { \
+ mp *a = *(mp **)v[0].buf; \
+ mp *b = *(mp **)v[1].buf; \
+ mp *r = *(mp **)v[2].buf; \
+ mp *c = op(MP_NEW, a, b); \
+ int ok = verify(#name, r, c, a, b); \
+ mp_drop(a); mp_drop(b); mp_drop(c); mp_drop(r); \
+ assert(mparena_count(MPARENA_GLOBAL) == 0); \
+ return (ok); \
+ }
+
+RIG(add, mp_add)
+RIG(sub, mp_sub)
+RIG(mul, mp_mul)
+RIG(exp, mp_exp)
+
+#undef RIG
+
+static int tdiv(dstr *v)
+{
+ mp *a = *(mp **)v[0].buf;
+ mp *b = *(mp **)v[1].buf;
+ mp *q = *(mp **)v[2].buf;
+ mp *r = *(mp **)v[3].buf;
+ mp *c = MP_NEW, *d = MP_NEW;
+ int ok = 1;
+ mp_div(&c, &d, a, b);
+ ok &= verify("div(quotient)", q, c, a, b);
+ ok &= verify("div(remainder)", r, d, a, b);
+ mp_drop(a); mp_drop(b); mp_drop(c); mp_drop(d); mp_drop(r); mp_drop(q);
+ assert(mparena_count(MPARENA_GLOBAL) == 0);
+ return (ok);
+}
+
+static int tbin(dstr *v)
+{
+ static mp *(*fn[])(mp *, mp *, mp *) = {
+#define DO(string) mp_bit##string##2c,
+MPX_DOBIN(DO)
+#undef DO
+ };
+ int ok = 1;
+ unsigned op = 0;
+ mp *a = *(mp **)v[1].buf;
+ mp *b = *(mp **)v[2].buf;
+ mp *r = *(mp **)v[3].buf;
+ mp *c;
+
+ if (strcmp(v[0].buf, "and") == 0) op = 1;
+ else if (strcmp(v[0].buf, "or") == 0) op = 7;
+ else if (strcmp(v[0].buf, "nand") == 0) op = 14;
+ else if (strcmp(v[0].buf, "nor") == 0) op = 8;
+ else if (strcmp(v[0].buf, "xor") == 0) op = 6;
+ else {
+ char *p = v[0].buf;
+ while (*p) {
+ op <<= 1;
+ if (*p++ == '1')
+ op |= 1;
+ }
+ }
+
+ c = fn[op](MP_NEW, a, b);
+ ok = verify(v[0].buf, r, c, a, b);
+ mp_drop(a); mp_drop(b); mp_drop(r); mp_drop(c);
+ assert(mparena_count(MPARENA_GLOBAL) == 0);
+ return (ok);
+}
+
+static int tset(dstr *v)
+{
+ mp *a = *(mp **)v[0].buf;
+ unsigned long n = *(unsigned long *)v[1].buf;
+ mp *r = *(mp **)v[2].buf;
+ mp *c;
+ int ok = 1;
+
+ c = mp_setbit2c(MP_NEW, a, n);
+ if (!MP_EQ(c, r)) {
+ ok = 0;
+ fprintf(stderr, "\n***setbit (set) failed");
+ fputs("\n*** a = ", stderr); mp_writefile(a, stderr, 16);
+ fprintf(stderr, "\n*** n = %lu", n);
+ fputs("\n*** r = ", stderr); mp_writefile(r, stderr, 16);
+ fputs("\n*** c = ", stderr); mp_writefile(c, stderr, 16);
+ fputc('\n', stderr);
+ }
+ if (!mp_testbit2c(r, n)) {
+ ok = 0;
+ fprintf(stderr, "\n***setbit (test) failed");
+ fprintf(stderr, "\n*** n = %lu", n);
+ fputs("\n*** r = ", stderr); mp_writefile(r, stderr, 16);
+ fputc('\n', stderr);
+ }
+ mp_drop(a);
+ mp_drop(r);
+ mp_drop(c);
+ assert(mparena_count(MPARENA_GLOBAL) == 0);
+ return (ok);
+}
+
+static int tclr(dstr *v)
+{
+ mp *a = *(mp **)v[0].buf;
+ unsigned long n = *(unsigned long *)v[1].buf;
+ mp *r = *(mp **)v[2].buf;
+ mp *c;
+ int ok = 1;
+
+ c = mp_clearbit2c(MP_NEW, a, n);
+ if (!MP_EQ(c, r)) {
+ ok = 0;
+ fprintf(stderr, "\n***clrbit (set) failed");
+ fputs("\n*** a = ", stderr); mp_writefile(a, stderr, 16);
+ fprintf(stderr, "\n*** n = %lu", n);
+ fputs("\n*** r = ", stderr); mp_writefile(r, stderr, 16);
+ fputs("\n*** c = ", stderr); mp_writefile(c, stderr, 16);
+ fputc('\n', stderr);
+ }
+ if (mp_testbit2c(r, n)) {
+ ok = 0;
+ fprintf(stderr, "\n***clrbit (test) failed");
+ fprintf(stderr, "\n*** n = %lu", n);
+ fputs("\n*** r = ", stderr); mp_writefile(r, stderr, 16);
+ fputc('\n', stderr);
+ }
+ mp_drop(a);
+ mp_drop(c);
+ mp_drop(r);
+ assert(mparena_count(MPARENA_GLOBAL) == 0);
+ 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;
+ size_t rs = *(uint32 *)v[1].buf;
+ mp *rt = *(mp **)v[2].buf;
+ int ok = 1;
+ mp *t;
+ size_t s;
+ t = mp_odd(MP_NEW, a, &s);
+ if (s != rs || !MP_EQ(t, rt)) {
+ ok = 0;
+ fprintf(stderr, "\n*** odd failed");
+ fputs("\n*** a = ", stderr); mp_writefile(a, stderr, 10);
+ fprintf(stderr, "\n*** s = %lu", (unsigned long)s);
+ fputs("\n*** t = ", stderr); mp_writefile(t, stderr, 10);
+ fprintf(stderr, "\n*** rs = %lu", (unsigned long)rs);
+ fputs("\n*** rt = ", stderr); mp_writefile(rt, stderr, 10);
+ fputc('\n', stderr);
+ }
+ mp_drop(a);
+ mp_drop(rt);
+ mp_drop(t);
+ assert(mparena_count(MPARENA_GLOBAL) == 0);
+ return (ok);
+}
+
+static test_chunk tests[] = {
+ { "lsl", tlsl, { &type_mp, &type_int, &type_mp, 0 } },
+ { "lsr", tlsr, { &type_mp, &type_int, &type_mp, 0 } },
+ { "lsl2c", tlsl2c, { &type_mp, &type_int, &type_mp, 0 } },
+ { "lsr2c", tlsr2c, { &type_mp, &type_int, &type_mp, 0 } },
+ { "setbit", tset, { &type_mp, &type_ulong, &type_mp, 0 } },
+ { "clrbit", tclr, { &type_mp, &type_ulong, &type_mp, 0 } },
+ { "add", tadd, { &type_mp, &type_mp, &type_mp, 0 } },
+ { "sub", tsub, { &type_mp, &type_mp, &type_mp, 0 } },
+ { "mul", tmul, { &type_mp, &type_mp, &type_mp, 0 } },
+ { "div", tdiv, { &type_mp, &type_mp, &type_mp, &type_mp, 0 } },
+ { "exp", texp, { &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 } },
+};
+
+int main(int argc, char *argv[])
+{
+ sub_init();
+ test_run(argc, argv, tests, SRCDIR "/t/mp");
+ return (0);
+}
+
+#endif
+
+/*----- That's all, folks -------------------------------------------------*/
projects / u / mdw / catacomb / blobdiff