Adding upstream version 6.1.76.upstream/6.1.76

Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>

26 files changed, 7302 insertions, 0 deletions

diff --git a/lib/mpi/Makefile b/lib/mpi/Makefile
new file mode 100644
index 000000000..6e6ef9a34
--- /dev/null
+++ b/lib/mpi/Makefile
@@ -0,0 +1,30 @@
+# SPDX-License-Identifier: GPL-2.0
+#
+# MPI multiprecision maths library (from gpg)
+#
+
+obj-$(CONFIG_MPILIB) = mpi.o
+
+mpi-y = \
+	generic_mpih-lshift.o		\
+	generic_mpih-mul1.o		\
+	generic_mpih-mul2.o		\
+	generic_mpih-mul3.o		\
+	generic_mpih-rshift.o		\
+	generic_mpih-sub1.o		\
+	generic_mpih-add1.o		\
+	ec.o				\
+	mpicoder.o			\
+	mpi-add.o			\
+	mpi-bit.o			\
+	mpi-cmp.o			\
+	mpi-sub-ui.o			\
+	mpi-div.o			\
+	mpi-inv.o			\
+	mpi-mod.o			\
+	mpi-mul.o			\
+	mpih-cmp.o			\
+	mpih-div.o			\
+	mpih-mul.o			\
+	mpi-pow.o			\
+	mpiutil.o
diff --git a/lib/mpi/ec.c b/lib/mpi/ec.c
new file mode 100644
index 000000000..40f5908e5
--- /dev/null
+++ b/lib/mpi/ec.c
@@ -0,0 +1,1506 @@
+/* ec.c -  Elliptic Curve functions
+ * Copyright (C) 2007 Free Software Foundation, Inc.
+ * Copyright (C) 2013 g10 Code GmbH
+ *
+ * This file is part of Libgcrypt.
+ *
+ * Libgcrypt 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 2.1 of
+ * the License, or (at your option) any later version.
+ *
+ * Libgcrypt 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.
+ *
+ * You should have received a copy of the GNU Lesser General Public
+ * License along with this program; if not, see <http://www.gnu.org/licenses/>.
+ */
+
+#include "mpi-internal.h"
+#include "longlong.h"
+
+#define point_init(a)  mpi_point_init((a))
+#define point_free(a)  mpi_point_free_parts((a))
+
+#define log_error(fmt, ...) pr_err(fmt, ##__VA_ARGS__)
+#define log_fatal(fmt, ...) pr_err(fmt, ##__VA_ARGS__)
+
+#define DIM(v) (sizeof(v)/sizeof((v)[0]))
+
+
+/* Create a new point option.  NBITS gives the size in bits of one
+ * coordinate; it is only used to pre-allocate some resources and
+ * might also be passed as 0 to use a default value.
+ */
+MPI_POINT mpi_point_new(unsigned int nbits)
+{
+	MPI_POINT p;
+
+	(void)nbits;  /* Currently not used.  */
+
+	p = kmalloc(sizeof(*p), GFP_KERNEL);
+	if (p)
+		mpi_point_init(p);
+	return p;
+}
+EXPORT_SYMBOL_GPL(mpi_point_new);
+
+/* Release the point object P.  P may be NULL. */
+void mpi_point_release(MPI_POINT p)
+{
+	if (p) {
+		mpi_point_free_parts(p);
+		kfree(p);
+	}
+}
+EXPORT_SYMBOL_GPL(mpi_point_release);
+
+/* Initialize the fields of a point object.  gcry_mpi_point_free_parts
+ * may be used to release the fields.
+ */
+void mpi_point_init(MPI_POINT p)
+{
+	p->x = mpi_new(0);
+	p->y = mpi_new(0);
+	p->z = mpi_new(0);
+}
+EXPORT_SYMBOL_GPL(mpi_point_init);
+
+/* Release the parts of a point object. */
+void mpi_point_free_parts(MPI_POINT p)
+{
+	mpi_free(p->x); p->x = NULL;
+	mpi_free(p->y); p->y = NULL;
+	mpi_free(p->z); p->z = NULL;
+}
+EXPORT_SYMBOL_GPL(mpi_point_free_parts);
+
+/* Set the value from S into D.  */
+static void point_set(MPI_POINT d, MPI_POINT s)
+{
+	mpi_set(d->x, s->x);
+	mpi_set(d->y, s->y);
+	mpi_set(d->z, s->z);
+}
+
+static void point_resize(MPI_POINT p, struct mpi_ec_ctx *ctx)
+{
+	size_t nlimbs = ctx->p->nlimbs;
+
+	mpi_resize(p->x, nlimbs);
+	p->x->nlimbs = nlimbs;
+	mpi_resize(p->z, nlimbs);
+	p->z->nlimbs = nlimbs;
+
+	if (ctx->model != MPI_EC_MONTGOMERY) {
+		mpi_resize(p->y, nlimbs);
+		p->y->nlimbs = nlimbs;
+	}
+}
+
+static void point_swap_cond(MPI_POINT d, MPI_POINT s, unsigned long swap,
+		struct mpi_ec_ctx *ctx)
+{
+	mpi_swap_cond(d->x, s->x, swap);
+	if (ctx->model != MPI_EC_MONTGOMERY)
+		mpi_swap_cond(d->y, s->y, swap);
+	mpi_swap_cond(d->z, s->z, swap);
+}
+
+
+/* W = W mod P.  */
+static void ec_mod(MPI w, struct mpi_ec_ctx *ec)
+{
+	if (ec->t.p_barrett)
+		mpi_mod_barrett(w, w, ec->t.p_barrett);
+	else
+		mpi_mod(w, w, ec->p);
+}
+
+static void ec_addm(MPI w, MPI u, MPI v, struct mpi_ec_ctx *ctx)
+{
+	mpi_add(w, u, v);
+	ec_mod(w, ctx);
+}
+
+static void ec_subm(MPI w, MPI u, MPI v, struct mpi_ec_ctx *ec)
+{
+	mpi_sub(w, u, v);
+	while (w->sign)
+		mpi_add(w, w, ec->p);
+	/*ec_mod(w, ec);*/
+}
+
+static void ec_mulm(MPI w, MPI u, MPI v, struct mpi_ec_ctx *ctx)
+{
+	mpi_mul(w, u, v);
+	ec_mod(w, ctx);
+}
+
+/* W = 2 * U mod P.  */
+static void ec_mul2(MPI w, MPI u, struct mpi_ec_ctx *ctx)
+{
+	mpi_lshift(w, u, 1);
+	ec_mod(w, ctx);
+}
+
+static void ec_powm(MPI w, const MPI b, const MPI e,
+		struct mpi_ec_ctx *ctx)
+{
+	mpi_powm(w, b, e, ctx->p);
+	/* mpi_abs(w); */
+}
+
+/* Shortcut for
+ * ec_powm(B, B, mpi_const(MPI_C_TWO), ctx);
+ * for easier optimization.
+ */
+static void ec_pow2(MPI w, const MPI b, struct mpi_ec_ctx *ctx)
+{
+	/* Using mpi_mul is slightly faster (at least on amd64).  */
+	/* mpi_powm(w, b, mpi_const(MPI_C_TWO), ctx->p); */
+	ec_mulm(w, b, b, ctx);
+}
+
+/* Shortcut for
+ * ec_powm(B, B, mpi_const(MPI_C_THREE), ctx);
+ * for easier optimization.
+ */
+static void ec_pow3(MPI w, const MPI b, struct mpi_ec_ctx *ctx)
+{
+	mpi_powm(w, b, mpi_const(MPI_C_THREE), ctx->p);
+}
+
+static void ec_invm(MPI x, MPI a, struct mpi_ec_ctx *ctx)
+{
+	if (!mpi_invm(x, a, ctx->p))
+		log_error("ec_invm: inverse does not exist:\n");
+}
+
+static void mpih_set_cond(mpi_ptr_t wp, mpi_ptr_t up,
+		mpi_size_t usize, unsigned long set)
+{
+	mpi_size_t i;
+	mpi_limb_t mask = ((mpi_limb_t)0) - set;
+	mpi_limb_t x;
+
+	for (i = 0; i < usize; i++) {
+		x = mask & (wp[i] ^ up[i]);
+		wp[i] = wp[i] ^ x;
+	}
+}
+
+/* Routines for 2^255 - 19.  */
+
+#define LIMB_SIZE_25519 ((256+BITS_PER_MPI_LIMB-1)/BITS_PER_MPI_LIMB)
+
+static void ec_addm_25519(MPI w, MPI u, MPI v, struct mpi_ec_ctx *ctx)
+{
+	mpi_ptr_t wp, up, vp;
+	mpi_size_t wsize = LIMB_SIZE_25519;
+	mpi_limb_t n[LIMB_SIZE_25519];
+	mpi_limb_t borrow;
+
+	if (w->nlimbs != wsize || u->nlimbs != wsize || v->nlimbs != wsize)
+		log_bug("addm_25519: different sizes\n");
+
+	memset(n, 0, sizeof(n));
+	up = u->d;
+	vp = v->d;
+	wp = w->d;
+
+	mpihelp_add_n(wp, up, vp, wsize);
+	borrow = mpihelp_sub_n(wp, wp, ctx->p->d, wsize);
+	mpih_set_cond(n, ctx->p->d, wsize, (borrow != 0UL));
+	mpihelp_add_n(wp, wp, n, wsize);
+	wp[LIMB_SIZE_25519-1] &= ~((mpi_limb_t)1 << (255 % BITS_PER_MPI_LIMB));
+}
+
+static void ec_subm_25519(MPI w, MPI u, MPI v, struct mpi_ec_ctx *ctx)
+{
+	mpi_ptr_t wp, up, vp;
+	mpi_size_t wsize = LIMB_SIZE_25519;
+	mpi_limb_t n[LIMB_SIZE_25519];
+	mpi_limb_t borrow;
+
+	if (w->nlimbs != wsize || u->nlimbs != wsize || v->nlimbs != wsize)
+		log_bug("subm_25519: different sizes\n");
+
+	memset(n, 0, sizeof(n));
+	up = u->d;
+	vp = v->d;
+	wp = w->d;
+
+	borrow = mpihelp_sub_n(wp, up, vp, wsize);
+	mpih_set_cond(n, ctx->p->d, wsize, (borrow != 0UL));
+	mpihelp_add_n(wp, wp, n, wsize);
+	wp[LIMB_SIZE_25519-1] &= ~((mpi_limb_t)1 << (255 % BITS_PER_MPI_LIMB));
+}
+
+static void ec_mulm_25519(MPI w, MPI u, MPI v, struct mpi_ec_ctx *ctx)
+{
+	mpi_ptr_t wp, up, vp;
+	mpi_size_t wsize = LIMB_SIZE_25519;
+	mpi_limb_t n[LIMB_SIZE_25519*2];
+	mpi_limb_t m[LIMB_SIZE_25519+1];
+	mpi_limb_t cy;
+	int msb;
+
+	(void)ctx;
+	if (w->nlimbs != wsize || u->nlimbs != wsize || v->nlimbs != wsize)
+		log_bug("mulm_25519: different sizes\n");
+
+	up = u->d;
+	vp = v->d;
+	wp = w->d;
+
+	mpihelp_mul_n(n, up, vp, wsize);
+	memcpy(wp, n, wsize * BYTES_PER_MPI_LIMB);
+	wp[LIMB_SIZE_25519-1] &= ~((mpi_limb_t)1 << (255 % BITS_PER_MPI_LIMB));
+
+	memcpy(m, n+LIMB_SIZE_25519-1, (wsize+1) * BYTES_PER_MPI_LIMB);
+	mpihelp_rshift(m, m, LIMB_SIZE_25519+1, (255 % BITS_PER_MPI_LIMB));
+
+	memcpy(n, m, wsize * BYTES_PER_MPI_LIMB);
+	cy = mpihelp_lshift(m, m, LIMB_SIZE_25519, 4);
+	m[LIMB_SIZE_25519] = cy;
+	cy = mpihelp_add_n(m, m, n, wsize);
+	m[LIMB_SIZE_25519] += cy;
+	cy = mpihelp_add_n(m, m, n, wsize);
+	m[LIMB_SIZE_25519] += cy;
+	cy = mpihelp_add_n(m, m, n, wsize);
+	m[LIMB_SIZE_25519] += cy;
+
+	cy = mpihelp_add_n(wp, wp, m, wsize);
+	m[LIMB_SIZE_25519] += cy;
+
+	memset(m, 0, wsize * BYTES_PER_MPI_LIMB);
+	msb = (wp[LIMB_SIZE_25519-1] >> (255 % BITS_PER_MPI_LIMB));
+	m[0] = (m[LIMB_SIZE_25519] * 2 + msb) * 19;
+	wp[LIMB_SIZE_25519-1] &= ~((mpi_limb_t)1 << (255 % BITS_PER_MPI_LIMB));
+	mpihelp_add_n(wp, wp, m, wsize);
+
+	m[0] = 0;
+	cy = mpihelp_sub_n(wp, wp, ctx->p->d, wsize);
+	mpih_set_cond(m, ctx->p->d, wsize, (cy != 0UL));
+	mpihelp_add_n(wp, wp, m, wsize);
+}
+
+static void ec_mul2_25519(MPI w, MPI u, struct mpi_ec_ctx *ctx)
+{
+	ec_addm_25519(w, u, u, ctx);
+}
+
+static void ec_pow2_25519(MPI w, const MPI b, struct mpi_ec_ctx *ctx)
+{
+	ec_mulm_25519(w, b, b, ctx);
+}
+
+/* Routines for 2^448 - 2^224 - 1.  */
+
+#define LIMB_SIZE_448 ((448+BITS_PER_MPI_LIMB-1)/BITS_PER_MPI_LIMB)
+#define LIMB_SIZE_HALF_448 ((LIMB_SIZE_448+1)/2)
+
+static void ec_addm_448(MPI w, MPI u, MPI v, struct mpi_ec_ctx *ctx)
+{
+	mpi_ptr_t wp, up, vp;
+	mpi_size_t wsize = LIMB_SIZE_448;
+	mpi_limb_t n[LIMB_SIZE_448];
+	mpi_limb_t cy;
+
+	if (w->nlimbs != wsize || u->nlimbs != wsize || v->nlimbs != wsize)
+		log_bug("addm_448: different sizes\n");
+
+	memset(n, 0, sizeof(n));
+	up = u->d;
+	vp = v->d;
+	wp = w->d;
+
+	cy = mpihelp_add_n(wp, up, vp, wsize);
+	mpih_set_cond(n, ctx->p->d, wsize, (cy != 0UL));
+	mpihelp_sub_n(wp, wp, n, wsize);
+}
+
+static void ec_subm_448(MPI w, MPI u, MPI v, struct mpi_ec_ctx *ctx)
+{
+	mpi_ptr_t wp, up, vp;
+	mpi_size_t wsize = LIMB_SIZE_448;
+	mpi_limb_t n[LIMB_SIZE_448];
+	mpi_limb_t borrow;
+
+	if (w->nlimbs != wsize || u->nlimbs != wsize || v->nlimbs != wsize)
+		log_bug("subm_448: different sizes\n");
+
+	memset(n, 0, sizeof(n));
+	up = u->d;
+	vp = v->d;
+	wp = w->d;
+
+	borrow = mpihelp_sub_n(wp, up, vp, wsize);
+	mpih_set_cond(n, ctx->p->d, wsize, (borrow != 0UL));
+	mpihelp_add_n(wp, wp, n, wsize);
+}
+
+static void ec_mulm_448(MPI w, MPI u, MPI v, struct mpi_ec_ctx *ctx)
+{
+	mpi_ptr_t wp, up, vp;
+	mpi_size_t wsize = LIMB_SIZE_448;
+	mpi_limb_t n[LIMB_SIZE_448*2];
+	mpi_limb_t a2[LIMB_SIZE_HALF_448];
+	mpi_limb_t a3[LIMB_SIZE_HALF_448];
+	mpi_limb_t b0[LIMB_SIZE_HALF_448];
+	mpi_limb_t b1[LIMB_SIZE_HALF_448];
+	mpi_limb_t cy;
+	int i;
+#if (LIMB_SIZE_HALF_448 > LIMB_SIZE_448/2)
+	mpi_limb_t b1_rest, a3_rest;
+#endif
+
+	if (w->nlimbs != wsize || u->nlimbs != wsize || v->nlimbs != wsize)
+		log_bug("mulm_448: different sizes\n");
+
+	up = u->d;
+	vp = v->d;
+	wp = w->d;
+
+	mpihelp_mul_n(n, up, vp, wsize);
+
+	for (i = 0; i < (wsize + 1) / 2; i++) {
+		b0[i] = n[i];
+		b1[i] = n[i+wsize/2];
+		a2[i] = n[i+wsize];
+		a3[i] = n[i+wsize+wsize/2];
+	}
+
+#if (LIMB_SIZE_HALF_448 > LIMB_SIZE_448/2)
+	b0[LIMB_SIZE_HALF_448-1] &= ((mpi_limb_t)1UL << 32)-1;
+	a2[LIMB_SIZE_HALF_448-1] &= ((mpi_limb_t)1UL << 32)-1;
+
+	b1_rest = 0;
+	a3_rest = 0;
+
+	for (i = (wsize + 1) / 2 - 1; i >= 0; i--) {
+		mpi_limb_t b1v, a3v;
+		b1v = b1[i];
+		a3v = a3[i];
+		b1[i] = (b1_rest << 32) | (b1v >> 32);
+		a3[i] = (a3_rest << 32) | (a3v >> 32);
+		b1_rest = b1v & (((mpi_limb_t)1UL << 32)-1);
+		a3_rest = a3v & (((mpi_limb_t)1UL << 32)-1);
+	}
+#endif
+
+	cy = mpihelp_add_n(b0, b0, a2, LIMB_SIZE_HALF_448);
+	cy += mpihelp_add_n(b0, b0, a3, LIMB_SIZE_HALF_448);
+	for (i = 0; i < (wsize + 1) / 2; i++)
+		wp[i] = b0[i];
+#if (LIMB_SIZE_HALF_448 > LIMB_SIZE_448/2)
+	wp[LIMB_SIZE_HALF_448-1] &= (((mpi_limb_t)1UL << 32)-1);
+#endif
+
+#if (LIMB_SIZE_HALF_448 > LIMB_SIZE_448/2)
+	cy = b0[LIMB_SIZE_HALF_448-1] >> 32;
+#endif
+
+	cy = mpihelp_add_1(b1, b1, LIMB_SIZE_HALF_448, cy);
+	cy += mpihelp_add_n(b1, b1, a2, LIMB_SIZE_HALF_448);
+	cy += mpihelp_add_n(b1, b1, a3, LIMB_SIZE_HALF_448);
+	cy += mpihelp_add_n(b1, b1, a3, LIMB_SIZE_HALF_448);
+#if (LIMB_SIZE_HALF_448 > LIMB_SIZE_448/2)
+	b1_rest = 0;
+	for (i = (wsize + 1) / 2 - 1; i >= 0; i--) {
+		mpi_limb_t b1v = b1[i];
+		b1[i] = (b1_rest << 32) | (b1v >> 32);
+		b1_rest = b1v & (((mpi_limb_t)1UL << 32)-1);
+	}
+	wp[LIMB_SIZE_HALF_448-1] |= (b1_rest << 32);
+#endif
+	for (i = 0; i < wsize / 2; i++)
+		wp[i+(wsize + 1) / 2] = b1[i];
+
+#if (LIMB_SIZE_HALF_448 > LIMB_SIZE_448/2)
+	cy = b1[LIMB_SIZE_HALF_448-1];
+#endif
+
+	memset(n, 0, wsize * BYTES_PER_MPI_LIMB);
+
+#if (LIMB_SIZE_HALF_448 > LIMB_SIZE_448/2)
+	n[LIMB_SIZE_HALF_448-1] = cy << 32;
+#else
+	n[LIMB_SIZE_HALF_448] = cy;
+#endif
+	n[0] = cy;
+	mpihelp_add_n(wp, wp, n, wsize);
+
+	memset(n, 0, wsize * BYTES_PER_MPI_LIMB);
+	cy = mpihelp_sub_n(wp, wp, ctx->p->d, wsize);
+	mpih_set_cond(n, ctx->p->d, wsize, (cy != 0UL));
+	mpihelp_add_n(wp, wp, n, wsize);
+}
+
+static void ec_mul2_448(MPI w, MPI u, struct mpi_ec_ctx *ctx)
+{
+	ec_addm_448(w, u, u, ctx);
+}
+
+static void ec_pow2_448(MPI w, const MPI b, struct mpi_ec_ctx *ctx)
+{
+	ec_mulm_448(w, b, b, ctx);
+}
+
+struct field_table {
+	const char *p;
+
+	/* computation routines for the field.  */
+	void (*addm)(MPI w, MPI u, MPI v, struct mpi_ec_ctx *ctx);
+	void (*subm)(MPI w, MPI u, MPI v, struct mpi_ec_ctx *ctx);
+	void (*mulm)(MPI w, MPI u, MPI v, struct mpi_ec_ctx *ctx);
+	void (*mul2)(MPI w, MPI u, struct mpi_ec_ctx *ctx);
+	void (*pow2)(MPI w, const MPI b, struct mpi_ec_ctx *ctx);
+};
+
+static const struct field_table field_table[] = {
+	{
+		"0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFED",
+		ec_addm_25519,
+		ec_subm_25519,
+		ec_mulm_25519,
+		ec_mul2_25519,
+		ec_pow2_25519
+	},
+	{
+		"0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE"
+		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
+		ec_addm_448,
+		ec_subm_448,
+		ec_mulm_448,
+		ec_mul2_448,
+		ec_pow2_448
+	},
+	{ NULL, NULL, NULL, NULL, NULL, NULL },
+};
+
+/* Force recomputation of all helper variables.  */
+static void mpi_ec_get_reset(struct mpi_ec_ctx *ec)
+{
+	ec->t.valid.a_is_pminus3 = 0;
+	ec->t.valid.two_inv_p = 0;
+}
+
+/* Accessor for helper variable.  */
+static int ec_get_a_is_pminus3(struct mpi_ec_ctx *ec)
+{
+	MPI tmp;
+
+	if (!ec->t.valid.a_is_pminus3) {
+		ec->t.valid.a_is_pminus3 = 1;
+		tmp = mpi_alloc_like(ec->p);
+		mpi_sub_ui(tmp, ec->p, 3);
+		ec->t.a_is_pminus3 = !mpi_cmp(ec->a, tmp);
+		mpi_free(tmp);
+	}
+
+	return ec->t.a_is_pminus3;
+}
+
+/* Accessor for helper variable.  */
+static MPI ec_get_two_inv_p(struct mpi_ec_ctx *ec)
+{
+	if (!ec->t.valid.two_inv_p) {
+		ec->t.valid.two_inv_p = 1;
+		if (!ec->t.two_inv_p)
+			ec->t.two_inv_p = mpi_alloc(0);
+		ec_invm(ec->t.two_inv_p, mpi_const(MPI_C_TWO), ec);
+	}
+	return ec->t.two_inv_p;
+}
+
+static const char *const curve25519_bad_points[] = {
+	"0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed",
+	"0x0000000000000000000000000000000000000000000000000000000000000000",
+	"0x0000000000000000000000000000000000000000000000000000000000000001",
+	"0x00b8495f16056286fdb1329ceb8d09da6ac49ff1fae35616aeb8413b7c7aebe0",
+	"0x57119fd0dd4e22d8868e1c58c45c44045bef839c55b1d0b1248c50a3bc959c5f",
+	"0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffec",
+	"0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffee",
+	NULL
+};
+
+static const char *const curve448_bad_points[] = {
+	"0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffe"
+	"ffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+	"0x00000000000000000000000000000000000000000000000000000000"
+	"00000000000000000000000000000000000000000000000000000000",
+	"0x00000000000000000000000000000000000000000000000000000000"
+	"00000000000000000000000000000000000000000000000000000001",
+	"0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffe"
+	"fffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
+	"0xffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
+	"00000000000000000000000000000000000000000000000000000000",
+	NULL
+};
+
+static const char *const *bad_points_table[] = {
+	curve25519_bad_points,
+	curve448_bad_points,
+};
+
+static void mpi_ec_coefficient_normalize(MPI a, MPI p)
+{
+	if (a->sign) {
+		mpi_resize(a, p->nlimbs);
+		mpihelp_sub_n(a->d, p->d, a->d, p->nlimbs);
+		a->nlimbs = p->nlimbs;
+		a->sign = 0;
+	}
+}
+
+/* This function initialized a context for elliptic curve based on the
+ * field GF(p).  P is the prime specifying this field, A is the first
+ * coefficient.  CTX is expected to be zeroized.
+ */
+void mpi_ec_init(struct mpi_ec_ctx *ctx, enum gcry_mpi_ec_models model,
+			enum ecc_dialects dialect,
+			int flags, MPI p, MPI a, MPI b)
+{
+	int i;
+	static int use_barrett = -1 /* TODO: 1 or -1 */;
+
+	mpi_ec_coefficient_normalize(a, p);
+	mpi_ec_coefficient_normalize(b, p);
+
+	/* Fixme: Do we want to check some constraints? e.g.  a < p  */
+
+	ctx->model = model;
+	ctx->dialect = dialect;
+	ctx->flags = flags;
+	if (dialect == ECC_DIALECT_ED25519)
+		ctx->nbits = 256;
+	else
+		ctx->nbits = mpi_get_nbits(p);
+	ctx->p = mpi_copy(p);
+	ctx->a = mpi_copy(a);
+	ctx->b = mpi_copy(b);
+
+	ctx->t.p_barrett = use_barrett > 0 ? mpi_barrett_init(ctx->p, 0) : NULL;
+
+	mpi_ec_get_reset(ctx);
+
+	if (model == MPI_EC_MONTGOMERY) {
+		for (i = 0; i < DIM(bad_points_table); i++) {
+			MPI p_candidate = mpi_scanval(bad_points_table[i][0]);
+			int match_p = !mpi_cmp(ctx->p, p_candidate);
+			int j;
+
+			mpi_free(p_candidate);
+			if (!match_p)
+				continue;
+
+			for (j = 0; i < DIM(ctx->t.scratch) && bad_points_table[i][j]; j++)
+				ctx->t.scratch[j] = mpi_scanval(bad_points_table[i][j]);
+		}
+	} else {
+		/* Allocate scratch variables.  */
+		for (i = 0; i < DIM(ctx->t.scratch); i++)
+			ctx->t.scratch[i] = mpi_alloc_like(ctx->p);
+	}
+
+	ctx->addm = ec_addm;
+	ctx->subm = ec_subm;
+	ctx->mulm = ec_mulm;
+	ctx->mul2 = ec_mul2;
+	ctx->pow2 = ec_pow2;
+
+	for (i = 0; field_table[i].p; i++) {
+		MPI f_p;
+
+		f_p = mpi_scanval(field_table[i].p);
+		if (!f_p)
+			break;
+
+		if (!mpi_cmp(p, f_p)) {
+			ctx->addm = field_table[i].addm;
+			ctx->subm = field_table[i].subm;
+			ctx->mulm = field_table[i].mulm;
+			ctx->mul2 = field_table[i].mul2;
+			ctx->pow2 = field_table[i].pow2;
+			mpi_free(f_p);
+
+			mpi_resize(ctx->a, ctx->p->nlimbs);
+			ctx->a->nlimbs = ctx->p->nlimbs;
+
+			mpi_resize(ctx->b, ctx->p->nlimbs);
+			ctx->b->nlimbs = ctx->p->nlimbs;
+
+			for (i = 0; i < DIM(ctx->t.scratch) && ctx->t.scratch[i]; i++)
+				ctx->t.scratch[i]->nlimbs = ctx->p->nlimbs;
+
+			break;
+		}
+
+		mpi_free(f_p);
+	}
+}
+EXPORT_SYMBOL_GPL(mpi_ec_init);
+
+void mpi_ec_deinit(struct mpi_ec_ctx *ctx)
+{
+	int i;
+
+	mpi_barrett_free(ctx->t.p_barrett);
+
+	/* Domain parameter.  */
+	mpi_free(ctx->p);
+	mpi_free(ctx->a);
+	mpi_free(ctx->b);
+	mpi_point_release(ctx->G);
+	mpi_free(ctx->n);
+
+	/* The key.  */
+	mpi_point_release(ctx->Q);
+	mpi_free(ctx->d);
+
+	/* Private data of ec.c.  */
+	mpi_free(ctx->t.two_inv_p);
+
+	for (i = 0; i < DIM(ctx->t.scratch); i++)
+		mpi_free(ctx->t.scratch[i]);
+}
+EXPORT_SYMBOL_GPL(mpi_ec_deinit);
+
+/* Compute the affine coordinates from the projective coordinates in
+ * POINT.  Set them into X and Y.  If one coordinate is not required,
+ * X or Y may be passed as NULL.  CTX is the usual context. Returns: 0
+ * on success or !0 if POINT is at infinity.
+ */
+int mpi_ec_get_affine(MPI x, MPI y, MPI_POINT point, struct mpi_ec_ctx *ctx)
+{
+	if (!mpi_cmp_ui(point->z, 0))
+		return -1;
+
+	switch (ctx->model) {
+	case MPI_EC_WEIERSTRASS: /* Using Jacobian coordinates.  */
+		{
+			MPI z1, z2, z3;
+
+			z1 = mpi_new(0);
+			z2 = mpi_new(0);
+			ec_invm(z1, point->z, ctx);  /* z1 = z^(-1) mod p  */
+			ec_mulm(z2, z1, z1, ctx);    /* z2 = z^(-2) mod p  */
+
+			if (x)
+				ec_mulm(x, point->x, z2, ctx);
+
+			if (y) {
+				z3 = mpi_new(0);
+				ec_mulm(z3, z2, z1, ctx);      /* z3 = z^(-3) mod p */
+				ec_mulm(y, point->y, z3, ctx);
+				mpi_free(z3);
+			}
+
+			mpi_free(z2);
+			mpi_free(z1);
+		}
+		return 0;
+
+	case MPI_EC_MONTGOMERY:
+		{
+			if (x)
+				mpi_set(x, point->x);
+
+			if (y) {
+				log_fatal("%s: Getting Y-coordinate on %s is not supported\n",
+						"mpi_ec_get_affine", "Montgomery");
+				return -1;
+			}
+		}
+		return 0;
+
+	case MPI_EC_EDWARDS:
+		{
+			MPI z;
+
+			z = mpi_new(0);
+			ec_invm(z, point->z, ctx);
+
+			mpi_resize(z, ctx->p->nlimbs);
+			z->nlimbs = ctx->p->nlimbs;
+
+			if (x) {
+				mpi_resize(x, ctx->p->nlimbs);
+				x->nlimbs = ctx->p->nlimbs;
+				ctx->mulm(x, point->x, z, ctx);
+			}
+			if (y) {
+				mpi_resize(y, ctx->p->nlimbs);
+				y->nlimbs = ctx->p->nlimbs;
+				ctx->mulm(y, point->y, z, ctx);
+			}
+
+			mpi_free(z);
+		}
+		return 0;
+
+	default:
+		return -1;
+	}
+}
+EXPORT_SYMBOL_GPL(mpi_ec_get_affine);
+
+/*  RESULT = 2 * POINT  (Weierstrass version). */
+static void dup_point_weierstrass(MPI_POINT result,
+		MPI_POINT point, struct mpi_ec_ctx *ctx)
+{
+#define x3 (result->x)
+#define y3 (result->y)
+#define z3 (result->z)
+#define t1 (ctx->t.scratch[0])
+#define t2 (ctx->t.scratch[1])
+#define t3 (ctx->t.scratch[2])
+#define l1 (ctx->t.scratch[3])
+#define l2 (ctx->t.scratch[4])
+#define l3 (ctx->t.scratch[5])
+
+	if (!mpi_cmp_ui(point->y, 0) || !mpi_cmp_ui(point->z, 0)) {
+		/* P_y == 0 || P_z == 0 => [1:1:0] */
+		mpi_set_ui(x3, 1);
+		mpi_set_ui(y3, 1);
+		mpi_set_ui(z3, 0);
+	} else {
+		if (ec_get_a_is_pminus3(ctx)) {
+			/* Use the faster case.  */
+			/* L1 = 3(X - Z^2)(X + Z^2) */
+			/*                          T1: used for Z^2. */
+			/*                          T2: used for the right term. */
+			ec_pow2(t1, point->z, ctx);
+			ec_subm(l1, point->x, t1, ctx);
+			ec_mulm(l1, l1, mpi_const(MPI_C_THREE), ctx);
+			ec_addm(t2, point->x, t1, ctx);
+			ec_mulm(l1, l1, t2, ctx);
+		} else {
+			/* Standard case. */
+			/* L1 = 3X^2 + aZ^4 */
+			/*                          T1: used for aZ^4. */
+			ec_pow2(l1, point->x, ctx);
+			ec_mulm(l1, l1, mpi_const(MPI_C_THREE), ctx);
+			ec_powm(t1, point->z, mpi_const(MPI_C_FOUR), ctx);
+			ec_mulm(t1, t1, ctx->a, ctx);
+			ec_addm(l1, l1, t1, ctx);
+		}
+		/* Z3 = 2YZ */
+		ec_mulm(z3, point->y, point->z, ctx);
+		ec_mul2(z3, z3, ctx);
+
+		/* L2 = 4XY^2 */
+		/*                              T2: used for Y2; required later. */
+		ec_pow2(t2, point->y, ctx);
+		ec_mulm(l2, t2, point->x, ctx);
+		ec_mulm(l2, l2, mpi_const(MPI_C_FOUR), ctx);
+
+		/* X3 = L1^2 - 2L2 */
+		/*                              T1: used for L2^2. */
+		ec_pow2(x3, l1, ctx);
+		ec_mul2(t1, l2, ctx);
+		ec_subm(x3, x3, t1, ctx);
+
+		/* L3 = 8Y^4 */
+		/*                              T2: taken from above. */
+		ec_pow2(t2, t2, ctx);
+		ec_mulm(l3, t2, mpi_const(MPI_C_EIGHT), ctx);
+
+		/* Y3 = L1(L2 - X3) - L3 */
+		ec_subm(y3, l2, x3, ctx);
+		ec_mulm(y3, y3, l1, ctx);
+		ec_subm(y3, y3, l3, ctx);
+	}
+
+#undef x3
+#undef y3
+#undef z3
+#undef t1
+#undef t2
+#undef t3
+#undef l1
+#undef l2
+#undef l3
+}
+
+/*  RESULT = 2 * POINT  (Montgomery version). */
+static void dup_point_montgomery(MPI_POINT result,
+				MPI_POINT point, struct mpi_ec_ctx *ctx)
+{
+	(void)result;
+	(void)point;
+	(void)ctx;
+	log_fatal("%s: %s not yet supported\n",
+			"mpi_ec_dup_point", "Montgomery");
+}
+
+/*  RESULT = 2 * POINT  (Twisted Edwards version). */
+static void dup_point_edwards(MPI_POINT result,
+		MPI_POINT point, struct mpi_ec_ctx *ctx)
+{
+#define X1 (point->x)
+#define Y1 (point->y)
+#define Z1 (point->z)
+#define X3 (result->x)
+#define Y3 (result->y)
+#define Z3 (result->z)
+#define B (ctx->t.scratch[0])
+#define C (ctx->t.scratch[1])
+#define D (ctx->t.scratch[2])
+#define E (ctx->t.scratch[3])
+#define F (ctx->t.scratch[4])
+#define H (ctx->t.scratch[5])
+#define J (ctx->t.scratch[6])
+
+	/* Compute: (X_3 : Y_3 : Z_3) = 2( X_1 : Y_1 : Z_1 ) */
+
+	/* B = (X_1 + Y_1)^2  */
+	ctx->addm(B, X1, Y1, ctx);
+	ctx->pow2(B, B, ctx);
+
+	/* C = X_1^2 */
+	/* D = Y_1^2 */
+	ctx->pow2(C, X1, ctx);
+	ctx->pow2(D, Y1, ctx);
+
+	/* E = aC */
+	if (ctx->dialect == ECC_DIALECT_ED25519)
+		ctx->subm(E, ctx->p, C, ctx);
+	else
+		ctx->mulm(E, ctx->a, C, ctx);
+
+	/* F = E + D */
+	ctx->addm(F, E, D, ctx);
+
+	/* H = Z_1^2 */
+	ctx->pow2(H, Z1, ctx);
+
+	/* J = F - 2H */
+	ctx->mul2(J, H, ctx);
+	ctx->subm(J, F, J, ctx);
+
+	/* X_3 = (B - C - D) · J */
+	ctx->subm(X3, B, C, ctx);
+	ctx->subm(X3, X3, D, ctx);
+	ctx->mulm(X3, X3, J, ctx);
+
+	/* Y_3 = F · (E - D) */
+	ctx->subm(Y3, E, D, ctx);
+	ctx->mulm(Y3, Y3, F, ctx);
+
+	/* Z_3 = F · J */
+	ctx->mulm(Z3, F, J, ctx);
+
+#undef X1
+#undef Y1
+#undef Z1
+#undef X3
+#undef Y3
+#undef Z3
+#undef B
+#undef C
+#undef D
+#undef E
+#undef F
+#undef H
+#undef J
+}
+
+/*  RESULT = 2 * POINT  */
+static void
+mpi_ec_dup_point(MPI_POINT result, MPI_POINT point, struct mpi_ec_ctx *ctx)
+{
+	switch (ctx->model) {
+	case MPI_EC_WEIERSTRASS:
+		dup_point_weierstrass(result, point, ctx);
+		break;
+	case MPI_EC_MONTGOMERY:
+		dup_point_montgomery(result, point, ctx);
+		break;
+	case MPI_EC_EDWARDS:
+		dup_point_edwards(result, point, ctx);
+		break;
+	}
+}
+
+/* RESULT = P1 + P2  (Weierstrass version).*/
+static void add_points_weierstrass(MPI_POINT result,
+		MPI_POINT p1, MPI_POINT p2,
+		struct mpi_ec_ctx *ctx)
+{
+#define x1 (p1->x)
+#define y1 (p1->y)
+#define z1 (p1->z)
+#define x2 (p2->x)
+#define y2 (p2->y)
+#define z2 (p2->z)
+#define x3 (result->x)
+#define y3 (result->y)
+#define z3 (result->z)
+#define l1 (ctx->t.scratch[0])
+#define l2 (ctx->t.scratch[1])
+#define l3 (ctx->t.scratch[2])
+#define l4 (ctx->t.scratch[3])
+#define l5 (ctx->t.scratch[4])
+#define l6 (ctx->t.scratch[5])
+#define l7 (ctx->t.scratch[6])
+#define l8 (ctx->t.scratch[7])
+#define l9 (ctx->t.scratch[8])
+#define t1 (ctx->t.scratch[9])
+#define t2 (ctx->t.scratch[10])
+
+	if ((!mpi_cmp(x1, x2)) && (!mpi_cmp(y1, y2)) && (!mpi_cmp(z1, z2))) {
+		/* Same point; need to call the duplicate function.  */
+		mpi_ec_dup_point(result, p1, ctx);
+	} else if (!mpi_cmp_ui(z1, 0)) {
+		/* P1 is at infinity.  */
+		mpi_set(x3, p2->x);
+		mpi_set(y3, p2->y);
+		mpi_set(z3, p2->z);
+	} else if (!mpi_cmp_ui(z2, 0)) {
+		/* P2 is at infinity.  */
+		mpi_set(x3, p1->x);
+		mpi_set(y3, p1->y);
+		mpi_set(z3, p1->z);
+	} else {
+		int z1_is_one = !mpi_cmp_ui(z1, 1);
+		int z2_is_one = !mpi_cmp_ui(z2, 1);
+
+		/* l1 = x1 z2^2  */
+		/* l2 = x2 z1^2  */
+		if (z2_is_one)
+			mpi_set(l1, x1);
+		else {
+			ec_pow2(l1, z2, ctx);
+			ec_mulm(l1, l1, x1, ctx);
+		}
+		if (z1_is_one)
+			mpi_set(l2, x2);
+		else {
+			ec_pow2(l2, z1, ctx);
+			ec_mulm(l2, l2, x2, ctx);
+		}
+		/* l3 = l1 - l2 */
+		ec_subm(l3, l1, l2, ctx);
+		/* l4 = y1 z2^3  */
+		ec_powm(l4, z2, mpi_const(MPI_C_THREE), ctx);
+		ec_mulm(l4, l4, y1, ctx);
+		/* l5 = y2 z1^3  */
+		ec_powm(l5, z1, mpi_const(MPI_C_THREE), ctx);
+		ec_mulm(l5, l5, y2, ctx);
+		/* l6 = l4 - l5  */
+		ec_subm(l6, l4, l5, ctx);
+
+		if (!mpi_cmp_ui(l3, 0)) {
+			if (!mpi_cmp_ui(l6, 0)) {
+				/* P1 and P2 are the same - use duplicate function. */
+				mpi_ec_dup_point(result, p1, ctx);
+			} else {
+				/* P1 is the inverse of P2.  */
+				mpi_set_ui(x3, 1);
+				mpi_set_ui(y3, 1);
+				mpi_set_ui(z3, 0);
+			}
+		} else {
+			/* l7 = l1 + l2  */
+			ec_addm(l7, l1, l2, ctx);
+			/* l8 = l4 + l5  */
+			ec_addm(l8, l4, l5, ctx);
+			/* z3 = z1 z2 l3  */
+			ec_mulm(z3, z1, z2, ctx);
+			ec_mulm(z3, z3, l3, ctx);
+			/* x3 = l6^2 - l7 l3^2  */
+			ec_pow2(t1, l6, ctx);
+			ec_pow2(t2, l3, ctx);
+			ec_mulm(t2, t2, l7, ctx);
+			ec_subm(x3, t1, t2, ctx);
+			/* l9 = l7 l3^2 - 2 x3  */
+			ec_mul2(t1, x3, ctx);
+			ec_subm(l9, t2, t1, ctx);
+			/* y3 = (l9 l6 - l8 l3^3)/2  */
+			ec_mulm(l9, l9, l6, ctx);
+			ec_powm(t1, l3, mpi_const(MPI_C_THREE), ctx); /* fixme: Use saved value*/
+			ec_mulm(t1, t1, l8, ctx);
+			ec_subm(y3, l9, t1, ctx);
+			ec_mulm(y3, y3, ec_get_two_inv_p(ctx), ctx);
+		}
+	}
+
+#undef x1
+#undef y1
+#undef z1
+#undef x2
+#undef y2
+#undef z2
+#undef x3
+#undef y3
+#undef z3
+#undef l1
+#undef l2
+#undef l3
+#undef l4
+#undef l5
+#undef l6
+#undef l7
+#undef l8
+#undef l9
+#undef t1
+#undef t2
+}
+
+/* RESULT = P1 + P2  (Montgomery version).*/
+static void add_points_montgomery(MPI_POINT result,
+		MPI_POINT p1, MPI_POINT p2,
+		struct mpi_ec_ctx *ctx)
+{
+	(void)result;
+	(void)p1;
+	(void)p2;
+	(void)ctx;
+	log_fatal("%s: %s not yet supported\n",
+			"mpi_ec_add_points", "Montgomery");
+}
+
+/* RESULT = P1 + P2  (Twisted Edwards version).*/
+static void add_points_edwards(MPI_POINT result,
+		MPI_POINT p1, MPI_POINT p2,
+		struct mpi_ec_ctx *ctx)
+{
+#define X1 (p1->x)
+#define Y1 (p1->y)
+#define Z1 (p1->z)
+#define X2 (p2->x)
+#define Y2 (p2->y)
+#define Z2 (p2->z)
+#define X3 (result->x)
+#define Y3 (result->y)
+#define Z3 (result->z)
+#define A (ctx->t.scratch[0])
+#define B (ctx->t.scratch[1])
+#define C (ctx->t.scratch[2])
+#define D (ctx->t.scratch[3])
+#define E (ctx->t.scratch[4])
+#define F (ctx->t.scratch[5])
+#define G (ctx->t.scratch[6])
+#define tmp (ctx->t.scratch[7])
+
+	point_resize(result, ctx);
+
+	/* Compute: (X_3 : Y_3 : Z_3) = (X_1 : Y_1 : Z_1) + (X_2 : Y_2 : Z_3) */
+
+	/* A = Z1 · Z2 */
+	ctx->mulm(A, Z1, Z2, ctx);
+
+	/* B = A^2 */
+	ctx->pow2(B, A, ctx);
+
+	/* C = X1 · X2 */
+	ctx->mulm(C, X1, X2, ctx);
+
+	/* D = Y1 · Y2 */
+	ctx->mulm(D, Y1, Y2, ctx);
+
+	/* E = d · C · D */
+	ctx->mulm(E, ctx->b, C, ctx);
+	ctx->mulm(E, E, D, ctx);
+
+	/* F = B - E */
+	ctx->subm(F, B, E, ctx);
+
+	/* G = B + E */
+	ctx->addm(G, B, E, ctx);
+
+	/* X_3 = A · F · ((X_1 + Y_1) · (X_2 + Y_2) - C - D) */
+	ctx->addm(tmp, X1, Y1, ctx);
+	ctx->addm(X3, X2, Y2, ctx);
+	ctx->mulm(X3, X3, tmp, ctx);
+	ctx->subm(X3, X3, C, ctx);
+	ctx->subm(X3, X3, D, ctx);
+	ctx->mulm(X3, X3, F, ctx);
+	ctx->mulm(X3, X3, A, ctx);
+
+	/* Y_3 = A · G · (D - aC) */
+	if (ctx->dialect == ECC_DIALECT_ED25519) {
+		ctx->addm(Y3, D, C, ctx);
+	} else {
+		ctx->mulm(Y3, ctx->a, C, ctx);
+		ctx->subm(Y3, D, Y3, ctx);
+	}
+	ctx->mulm(Y3, Y3, G, ctx);
+	ctx->mulm(Y3, Y3, A, ctx);
+
+	/* Z_3 = F · G */
+	ctx->mulm(Z3, F, G, ctx);
+
+
+#undef X1
+#undef Y1
+#undef Z1
+#undef X2
+#undef Y2
+#undef Z2
+#undef X3
+#undef Y3
+#undef Z3
+#undef A
+#undef B
+#undef C
+#undef D
+#undef E
+#undef F
+#undef G
+#undef tmp
+}
+
+/* Compute a step of Montgomery Ladder (only use X and Z in the point).
+ * Inputs:  P1, P2, and x-coordinate of DIF = P1 - P1.
+ * Outputs: PRD = 2 * P1 and  SUM = P1 + P2.
+ */
+static void montgomery_ladder(MPI_POINT prd, MPI_POINT sum,
+		MPI_POINT p1, MPI_POINT p2, MPI dif_x,
+		struct mpi_ec_ctx *ctx)
+{
+	ctx->addm(sum->x, p2->x, p2->z, ctx);
+	ctx->subm(p2->z, p2->x, p2->z, ctx);
+	ctx->addm(prd->x, p1->x, p1->z, ctx);
+	ctx->subm(p1->z, p1->x, p1->z, ctx);
+	ctx->mulm(p2->x, p1->z, sum->x, ctx);
+	ctx->mulm(p2->z, prd->x, p2->z, ctx);
+	ctx->pow2(p1->x, prd->x, ctx);
+	ctx->pow2(p1->z, p1->z, ctx);
+	ctx->addm(sum->x, p2->x, p2->z, ctx);
+	ctx->subm(p2->z, p2->x, p2->z, ctx);
+	ctx->mulm(prd->x, p1->x, p1->z, ctx);
+	ctx->subm(p1->z, p1->x, p1->z, ctx);
+	ctx->pow2(sum->x, sum->x, ctx);
+	ctx->pow2(sum->z, p2->z, ctx);
+	ctx->mulm(prd->z, p1->z, ctx->a, ctx); /* CTX->A: (a-2)/4 */
+	ctx->mulm(sum->z, sum->z, dif_x, ctx);
+	ctx->addm(prd->z, p1->x, prd->z, ctx);
+	ctx->mulm(prd->z, prd->z, p1->z, ctx);
+}
+
+/* RESULT = P1 + P2 */
+void mpi_ec_add_points(MPI_POINT result,
+		MPI_POINT p1, MPI_POINT p2,
+		struct mpi_ec_ctx *ctx)
+{
+	switch (ctx->model) {
+	case MPI_EC_WEIERSTRASS:
+		add_points_weierstrass(result, p1, p2, ctx);
+		break;
+	case MPI_EC_MONTGOMERY:
+		add_points_montgomery(result, p1, p2, ctx);
+		break;
+	case MPI_EC_EDWARDS:
+		add_points_edwards(result, p1, p2, ctx);
+		break;
+	}
+}
+EXPORT_SYMBOL_GPL(mpi_ec_add_points);
+
+/* Scalar point multiplication - the main function for ECC.  If takes
+ * an integer SCALAR and a POINT as well as the usual context CTX.
+ * RESULT will be set to the resulting point.
+ */
+void mpi_ec_mul_point(MPI_POINT result,
+			MPI scalar, MPI_POINT point,
+			struct mpi_ec_ctx *ctx)
+{
+	MPI x1, y1, z1, k, h, yy;
+	unsigned int i, loops;
+	struct gcry_mpi_point p1, p2, p1inv;
+
+	if (ctx->model == MPI_EC_EDWARDS) {
+		/* Simple left to right binary method.  Algorithm 3.27 from
+		 * {author={Hankerson, Darrel and Menezes, Alfred J. and Vanstone, Scott},
+		 *  title = {Guide to Elliptic Curve Cryptography},
+		 *  year = {2003}, isbn = {038795273X},
+		 *  url = {http://www.cacr.math.uwaterloo.ca/ecc/},
+		 *  publisher = {Springer-Verlag New York, Inc.}}
+		 */
+		unsigned int nbits;
+		int j;
+
+		if (mpi_cmp(scalar, ctx->p) >= 0)
+			nbits = mpi_get_nbits(scalar);
+		else
+			nbits = mpi_get_nbits(ctx->p);
+
+		mpi_set_ui(result->x, 0);
+		mpi_set_ui(result->y, 1);
+		mpi_set_ui(result->z, 1);
+		point_resize(point, ctx);
+
+		point_resize(result, ctx);
+		point_resize(point, ctx);
+
+		for (j = nbits-1; j >= 0; j--) {
+			mpi_ec_dup_point(result, result, ctx);
+			if (mpi_test_bit(scalar, j))
+				mpi_ec_add_points(result, result, point, ctx);
+		}
+		return;
+	} else if (ctx->model == MPI_EC_MONTGOMERY) {
+		unsigned int nbits;
+		int j;
+		struct gcry_mpi_point p1_, p2_;
+		MPI_POINT q1, q2, prd, sum;
+		unsigned long sw;
+		mpi_size_t rsize;
+
+		/* Compute scalar point multiplication with Montgomery Ladder.
+		 * Note that we don't use Y-coordinate in the points at all.
+		 * RESULT->Y will be filled by zero.
+		 */
+
+		nbits = mpi_get_nbits(scalar);
+		point_init(&p1);
+		point_init(&p2);
+		point_init(&p1_);
+		point_init(&p2_);
+		mpi_set_ui(p1.x, 1);
+		mpi_free(p2.x);
+		p2.x = mpi_copy(point->x);
+		mpi_set_ui(p2.z, 1);
+
+		point_resize(&p1, ctx);
+		point_resize(&p2, ctx);
+		point_resize(&p1_, ctx);
+		point_resize(&p2_, ctx);
+
+		mpi_resize(point->x, ctx->p->nlimbs);
+		point->x->nlimbs = ctx->p->nlimbs;
+
+		q1 = &p1;
+		q2 = &p2;
+		prd = &p1_;
+		sum = &p2_;
+
+		for (j = nbits-1; j >= 0; j--) {
+			MPI_POINT t;
+
+			sw = mpi_test_bit(scalar, j);
+			point_swap_cond(q1, q2, sw, ctx);
+			montgomery_ladder(prd, sum, q1, q2, point->x, ctx);
+			point_swap_cond(prd, sum, sw, ctx);
+			t = q1;  q1 = prd;  prd = t;
+			t = q2;  q2 = sum;  sum = t;
+		}
+
+		mpi_clear(result->y);
+		sw = (nbits & 1);
+		point_swap_cond(&p1, &p1_, sw, ctx);
+
+		rsize = p1.z->nlimbs;
+		MPN_NORMALIZE(p1.z->d, rsize);
+		if (rsize == 0) {
+			mpi_set_ui(result->x, 1);
+			mpi_set_ui(result->z, 0);
+		} else {
+			z1 = mpi_new(0);
+			ec_invm(z1, p1.z, ctx);
+			ec_mulm(result->x, p1.x, z1, ctx);
+			mpi_set_ui(result->z, 1);
+			mpi_free(z1);
+		}
+
+		point_free(&p1);
+		point_free(&p2);
+		point_free(&p1_);
+		point_free(&p2_);
+		return;
+	}
+
+	x1 = mpi_alloc_like(ctx->p);
+	y1 = mpi_alloc_like(ctx->p);
+	h  = mpi_alloc_like(ctx->p);
+	k  = mpi_copy(scalar);
+	yy = mpi_copy(point->y);
+
+	if (mpi_has_sign(k)) {
+		k->sign = 0;
+		ec_invm(yy, yy, ctx);
+	}
+
+	if (!mpi_cmp_ui(point->z, 1)) {
+		mpi_set(x1, point->x);
+		mpi_set(y1, yy);
+	} else {
+		MPI z2, z3;
+
+		z2 = mpi_alloc_like(ctx->p);
+		z3 = mpi_alloc_like(ctx->p);
+		ec_mulm(z2, point->z, point->z, ctx);
+		ec_mulm(z3, point->z, z2, ctx);
+		ec_invm(z2, z2, ctx);
+		ec_mulm(x1, point->x, z2, ctx);
+		ec_invm(z3, z3, ctx);
+		ec_mulm(y1, yy, z3, ctx);
+		mpi_free(z2);
+		mpi_free(z3);
+	}
+	z1 = mpi_copy(mpi_const(MPI_C_ONE));
+
+	mpi_mul(h, k, mpi_const(MPI_C_THREE)); /* h = 3k */
+	loops = mpi_get_nbits(h);
+	if (loops < 2) {
+		/* If SCALAR is zero, the above mpi_mul sets H to zero and thus
+		 * LOOPs will be zero.  To avoid an underflow of I in the main
+		 * loop we set LOOP to 2 and the result to (0,0,0).
+		 */
+		loops = 2;
+		mpi_clear(result->x);
+		mpi_clear(result->y);
+		mpi_clear(result->z);
+	} else {
+		mpi_set(result->x, point->x);
+		mpi_set(result->y, yy);
+		mpi_set(result->z, point->z);
+	}
+	mpi_free(yy); yy = NULL;
+
+	p1.x = x1; x1 = NULL;
+	p1.y = y1; y1 = NULL;
+	p1.z = z1; z1 = NULL;
+	point_init(&p2);
+	point_init(&p1inv);
+
+	/* Invert point: y = p - y mod p  */
+	point_set(&p1inv, &p1);
+	ec_subm(p1inv.y, ctx->p, p1inv.y, ctx);
+
+	for (i = loops-2; i > 0; i--) {
+		mpi_ec_dup_point(result, result, ctx);
+		if (mpi_test_bit(h, i) == 1 && mpi_test_bit(k, i) == 0) {
+			point_set(&p2, result);
+			mpi_ec_add_points(result, &p2, &p1, ctx);
+		}
+		if (mpi_test_bit(h, i) == 0 && mpi_test_bit(k, i) == 1) {
+			point_set(&p2, result);
+			mpi_ec_add_points(result, &p2, &p1inv, ctx);
+		}
+	}
+
+	point_free(&p1);
+	point_free(&p2);
+	point_free(&p1inv);
+	mpi_free(h);
+	mpi_free(k);
+}
+EXPORT_SYMBOL_GPL(mpi_ec_mul_point);
+
+/* Return true if POINT is on the curve described by CTX.  */
+int mpi_ec_curve_point(MPI_POINT point, struct mpi_ec_ctx *ctx)
+{
+	int res = 0;
+	MPI x, y, w;
+
+	x = mpi_new(0);
+	y = mpi_new(0);
+	w = mpi_new(0);
+
+	/* Check that the point is in range.  This needs to be done here and
+	 * not after conversion to affine coordinates.
+	 */
+	if (mpi_cmpabs(point->x, ctx->p) >= 0)
+		goto leave;
+	if (mpi_cmpabs(point->y, ctx->p) >= 0)
+		goto leave;
+	if (mpi_cmpabs(point->z, ctx->p) >= 0)
+		goto leave;
+
+	switch (ctx->model) {
+	case MPI_EC_WEIERSTRASS:
+		{
+			MPI xxx;
+
+			if (mpi_ec_get_affine(x, y, point, ctx))
+				goto leave;
+
+			xxx = mpi_new(0);
+
+			/* y^2 == x^3 + a·x + b */
+			ec_pow2(y, y, ctx);
+
+			ec_pow3(xxx, x, ctx);
+			ec_mulm(w, ctx->a, x, ctx);
+			ec_addm(w, w, ctx->b, ctx);
+			ec_addm(w, w, xxx, ctx);
+
+			if (!mpi_cmp(y, w))
+				res = 1;
+
+			mpi_free(xxx);
+		}
+		break;
+
+	case MPI_EC_MONTGOMERY:
+		{
+#define xx y
+			/* With Montgomery curve, only X-coordinate is valid. */
+			if (mpi_ec_get_affine(x, NULL, point, ctx))
+				goto leave;
+
+			/* The equation is: b * y^2 == x^3 + a · x^2 + x */
+			/* We check if right hand is quadratic residue or not by
+			 * Euler's criterion.
+			 */
+			/* CTX->A has (a-2)/4 and CTX->B has b^-1 */
+			ec_mulm(w, ctx->a, mpi_const(MPI_C_FOUR), ctx);
+			ec_addm(w, w, mpi_const(MPI_C_TWO), ctx);
+			ec_mulm(w, w, x, ctx);
+			ec_pow2(xx, x, ctx);
+			ec_addm(w, w, xx, ctx);
+			ec_addm(w, w, mpi_const(MPI_C_ONE), ctx);
+			ec_mulm(w, w, x, ctx);
+			ec_mulm(w, w, ctx->b, ctx);
+#undef xx
+			/* Compute Euler's criterion: w^(p-1)/2 */
+#define p_minus1 y
+			ec_subm(p_minus1, ctx->p, mpi_const(MPI_C_ONE), ctx);
+			mpi_rshift(p_minus1, p_minus1, 1);
+			ec_powm(w, w, p_minus1, ctx);
+
+			res = !mpi_cmp_ui(w, 1);
+#undef p_minus1
+		}
+		break;
+
+	case MPI_EC_EDWARDS:
+		{
+			if (mpi_ec_get_affine(x, y, point, ctx))
+				goto leave;
+
+			mpi_resize(w, ctx->p->nlimbs);
+			w->nlimbs = ctx->p->nlimbs;
+
+			/* a · x^2 + y^2 - 1 - b · x^2 · y^2 == 0 */
+			ctx->pow2(x, x, ctx);
+			ctx->pow2(y, y, ctx);
+			if (ctx->dialect == ECC_DIALECT_ED25519)
+				ctx->subm(w, ctx->p, x, ctx);
+			else
+				ctx->mulm(w, ctx->a, x, ctx);
+			ctx->addm(w, w, y, ctx);
+			ctx->mulm(x, x, y, ctx);
+			ctx->mulm(x, x, ctx->b, ctx);
+			ctx->subm(w, w, x, ctx);
+			if (!mpi_cmp_ui(w, 1))
+				res = 1;
+		}
+		break;
+	}
+
+leave:
+	mpi_free(w);
+	mpi_free(x);
+	mpi_free(y);
+
+	return res;
+}
+EXPORT_SYMBOL_GPL(mpi_ec_curve_point);
diff --git a/lib/mpi/generic_mpih-add1.c b/lib/mpi/generic_mpih-add1.c
new file mode 100644
index 000000000..299308b54
--- /dev/null
+++ b/lib/mpi/generic_mpih-add1.c
@@ -0,0 +1,48 @@
+// SPDX-License-Identifier: GPL-2.0-or-later
+/* mpihelp-add_1.c  -  MPI helper functions
+ * Copyright (C) 1994, 1996, 1997, 1998,
+ *               2000 Free Software Foundation, Inc.
+ *
+ * This file is part of GnuPG.
+ *
+ * Note: This code is heavily based on the GNU MP Library.
+ *	 Actually it's the same code with only minor changes in the
+ *	 way the data is stored; this is to support the abstraction
+ *	 of an optional secure memory allocation which may be used
+ *	 to avoid revealing of sensitive data due to paging etc.
+ *	 The GNU MP Library itself is published under the LGPL;
+ *	 however I decided to publish this code under the plain GPL.
+ */
+
+#include "mpi-internal.h"
+#include "longlong.h"
+
+mpi_limb_t
+mpihelp_add_n(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
+	      mpi_ptr_t s2_ptr, mpi_size_t size)
+{
+	mpi_limb_t x, y, cy;
+	mpi_size_t j;
+
+	/* The loop counter and index J goes from -SIZE to -1.  This way
+	   the loop becomes faster.  */
+	j = -size;
+
+	/* Offset the base pointers to compensate for the negative indices. */
+	s1_ptr -= j;
+	s2_ptr -= j;
+	res_ptr -= j;
+
+	cy = 0;
+	do {
+		y = s2_ptr[j];
+		x = s1_ptr[j];
+		y += cy;	/* add previous carry to one addend */
+		cy = y < cy;	/* get out carry from that addition */
+		y += x;		/* add other addend */
+		cy += y < x;	/* get out carry from that add, combine */
+		res_ptr[j] = y;
+	} while (++j);
+
+	return cy;
+}
diff --git a/lib/mpi/generic_mpih-lshift.c b/lib/mpi/generic_mpih-lshift.c
new file mode 100644
index 000000000..7b21f5938
--- /dev/null
+++ b/lib/mpi/generic_mpih-lshift.c
@@ -0,0 +1,50 @@
+// SPDX-License-Identifier: GPL-2.0-or-later
+/* mpihelp-lshift.c  -	MPI helper functions
+ * Copyright (C) 1994, 1996, 1998, 2001 Free Software Foundation, Inc.
+ *
+ * This file is part of GnuPG.
+ *
+ * Note: This code is heavily based on the GNU MP Library.
+ *	 Actually it's the same code with only minor changes in the
+ *	 way the data is stored; this is to support the abstraction
+ *	 of an optional secure memory allocation which may be used
+ *	 to avoid revealing of sensitive data due to paging etc.
+ *	 The GNU MP Library itself is published under the LGPL;
+ *	 however I decided to publish this code under the plain GPL.
+ */
+
+#include "mpi-internal.h"
+
+/* Shift U (pointed to by UP and USIZE digits long) CNT bits to the left
+ * and store the USIZE least significant digits of the result at WP.
+ * Return the bits shifted out from the most significant digit.
+ *
+ * Argument constraints:
+ * 1. 0 < CNT < BITS_PER_MP_LIMB
+ * 2. If the result is to be written over the input, WP must be >= UP.
+ */
+
+mpi_limb_t
+mpihelp_lshift(mpi_ptr_t wp, mpi_ptr_t up, mpi_size_t usize, unsigned int cnt)
+{
+	mpi_limb_t high_limb, low_limb;
+	unsigned sh_1, sh_2;
+	mpi_size_t i;
+	mpi_limb_t retval;
+
+	sh_1 = cnt;
+	wp += 1;
+	sh_2 = BITS_PER_MPI_LIMB - sh_1;
+	i = usize - 1;
+	low_limb = up[i];
+	retval = low_limb >> sh_2;
+	high_limb = low_limb;
+	while (--i >= 0) {
+		low_limb = up[i];
+		wp[i] = (high_limb << sh_1) | (low_limb >> sh_2);
+		high_limb = low_limb;
+	}
+	wp[i] = high_limb << sh_1;
+
+	return retval;
+}
diff --git a/lib/mpi/generic_mpih-mul1.c b/lib/mpi/generic_mpih-mul1.c
new file mode 100644
index 000000000..e020e61d4
--- /dev/null
+++ b/lib/mpi/generic_mpih-mul1.c
@@ -0,0 +1,44 @@
+// SPDX-License-Identifier: GPL-2.0-or-later
+/* mpihelp-mul_1.c  -  MPI helper functions
+ * Copyright (C) 1994, 1996, 1997, 1998, 2001 Free Software Foundation, Inc.
+ *
+ * This file is part of GnuPG.
+ *
+ * Note: This code is heavily based on the GNU MP Library.
+ *	 Actually it's the same code with only minor changes in the
+ *	 way the data is stored; this is to support the abstraction
+ *	 of an optional secure memory allocation which may be used
+ *	 to avoid revealing of sensitive data due to paging etc.
+ *	 The GNU MP Library itself is published under the LGPL;
+ *	 however I decided to publish this code under the plain GPL.
+ */
+
+#include "mpi-internal.h"
+#include "longlong.h"
+
+mpi_limb_t
+mpihelp_mul_1(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr, mpi_size_t s1_size,
+	      mpi_limb_t s2_limb)
+{
+	mpi_limb_t cy_limb;
+	mpi_size_t j;
+	mpi_limb_t prod_high, prod_low;
+
+	/* The loop counter and index J goes from -S1_SIZE to -1.  This way
+	 * the loop becomes faster.  */
+	j = -s1_size;
+
+	/* Offset the base pointers to compensate for the negative indices.  */
+	s1_ptr -= j;
+	res_ptr -= j;
+
+	cy_limb = 0;
+	do {
+		umul_ppmm(prod_high, prod_low, s1_ptr[j], s2_limb);
+		prod_low += cy_limb;
+		cy_limb = (prod_low < cy_limb ? 1 : 0) + prod_high;
+		res_ptr[j] = prod_low;
+	} while (++j);
+
+	return cy_limb;
+}
diff --git a/lib/mpi/generic_mpih-mul2.c b/lib/mpi/generic_mpih-mul2.c
new file mode 100644
index 000000000..9484d8528
--- /dev/null
+++ b/lib/mpi/generic_mpih-mul2.c
@@ -0,0 +1,47 @@
+// SPDX-License-Identifier: GPL-2.0-or-later
+/* mpihelp-mul_2.c  -  MPI helper functions
+ * Copyright (C) 1994, 1996, 1997, 1998, 2001 Free Software Foundation, Inc.
+ *
+ * This file is part of GnuPG.
+ *
+ * Note: This code is heavily based on the GNU MP Library.
+ *	 Actually it's the same code with only minor changes in the
+ *	 way the data is stored; this is to support the abstraction
+ *	 of an optional secure memory allocation which may be used
+ *	 to avoid revealing of sensitive data due to paging etc.
+ *	 The GNU MP Library itself is published under the LGPL;
+ *	 however I decided to publish this code under the plain GPL.
+ */
+
+#include "mpi-internal.h"
+#include "longlong.h"
+
+mpi_limb_t
+mpihelp_addmul_1(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
+		 mpi_size_t s1_size, mpi_limb_t s2_limb)
+{
+	mpi_limb_t cy_limb;
+	mpi_size_t j;
+	mpi_limb_t prod_high, prod_low;
+	mpi_limb_t x;
+
+	/* The loop counter and index J goes from -SIZE to -1.  This way
+	 * the loop becomes faster.  */
+	j = -s1_size;
+	res_ptr -= j;
+	s1_ptr -= j;
+
+	cy_limb = 0;
+	do {
+		umul_ppmm(prod_high, prod_low, s1_ptr[j], s2_limb);
+
+		prod_low += cy_limb;
+		cy_limb = (prod_low < cy_limb ? 1 : 0) + prod_high;
+
+		x = res_ptr[j];
+		prod_low = x + prod_low;
+		cy_limb += prod_low < x ? 1 : 0;
+		res_ptr[j] = prod_low;
+	} while (++j);
+	return cy_limb;
+}
diff --git a/lib/mpi/generic_mpih-mul3.c b/lib/mpi/generic_mpih-mul3.c
new file mode 100644
index 000000000..ccdbab412
--- /dev/null
+++ b/lib/mpi/generic_mpih-mul3.c
@@ -0,0 +1,48 @@
+// SPDX-License-Identifier: GPL-2.0-or-later
+/* mpihelp-mul_3.c  -  MPI helper functions
+ * Copyright (C) 1994, 1996, 1997, 1998, 2001 Free Software Foundation, Inc.
+ *
+ * This file is part of GnuPG.
+ *
+ * Note: This code is heavily based on the GNU MP Library.
+ *	 Actually it's the same code with only minor changes in the
+ *	 way the data is stored; this is to support the abstraction
+ *	 of an optional secure memory allocation which may be used
+ *	 to avoid revealing of sensitive data due to paging etc.
+ *	 The GNU MP Library itself is published under the LGPL;
+ *	 however I decided to publish this code under the plain GPL.
+ */
+
+#include "mpi-internal.h"
+#include "longlong.h"
+
+mpi_limb_t
+mpihelp_submul_1(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
+		 mpi_size_t s1_size, mpi_limb_t s2_limb)
+{
+	mpi_limb_t cy_limb;
+	mpi_size_t j;
+	mpi_limb_t prod_high, prod_low;
+	mpi_limb_t x;
+
+	/* The loop counter and index J goes from -SIZE to -1.  This way
+	 * the loop becomes faster.  */
+	j = -s1_size;
+	res_ptr -= j;
+	s1_ptr -= j;
+
+	cy_limb = 0;
+	do {
+		umul_ppmm(prod_high, prod_low, s1_ptr[j], s2_limb);
+
+		prod_low += cy_limb;
+		cy_limb = (prod_low < cy_limb ? 1 : 0) + prod_high;
+
+		x = res_ptr[j];
+		prod_low = x - prod_low;
+		cy_limb += prod_low > x ? 1 : 0;
+		res_ptr[j] = prod_low;
+	} while (++j);
+
+	return cy_limb;
+}
diff --git a/lib/mpi/generic_mpih-rshift.c b/lib/mpi/generic_mpih-rshift.c
new file mode 100644
index 000000000..e07bc69aa
--- /dev/null
+++ b/lib/mpi/generic_mpih-rshift.c
@@ -0,0 +1,50 @@
+// SPDX-License-Identifier: GPL-2.0-or-later
+/* mpih-rshift.c  -  MPI helper functions
+ * Copyright (C) 1994, 1996, 1998, 1999,
+ *               2000, 2001 Free Software Foundation, Inc.
+ *
+ * This file is part of GNUPG
+ *
+ * Note: This code is heavily based on the GNU MP Library.
+ *	 Actually it's the same code with only minor changes in the
+ *	 way the data is stored; this is to support the abstraction
+ *	 of an optional secure memory allocation which may be used
+ *	 to avoid revealing of sensitive data due to paging etc.
+ *	 The GNU MP Library itself is published under the LGPL;
+ *	 however I decided to publish this code under the plain GPL.
+ */
+
+#include "mpi-internal.h"
+
+/* Shift U (pointed to by UP and USIZE limbs long) CNT bits to the right
+ * and store the USIZE least significant limbs of the result at WP.
+ * The bits shifted out to the right are returned.
+ *
+ * Argument constraints:
+ * 1. 0 < CNT < BITS_PER_MP_LIMB
+ * 2. If the result is to be written over the input, WP must be <= UP.
+ */
+
+mpi_limb_t
+mpihelp_rshift(mpi_ptr_t wp, mpi_ptr_t up, mpi_size_t usize, unsigned cnt)
+{
+	mpi_limb_t high_limb, low_limb;
+	unsigned sh_1, sh_2;
+	mpi_size_t i;
+	mpi_limb_t retval;
+
+	sh_1 = cnt;
+	wp -= 1;
+	sh_2 = BITS_PER_MPI_LIMB - sh_1;
+	high_limb = up[0];
+	retval = high_limb << sh_2;
+	low_limb = high_limb;
+	for (i = 1; i < usize; i++) {
+		high_limb = up[i];
+		wp[i] = (low_limb >> sh_1) | (high_limb << sh_2);
+		low_limb = high_limb;
+	}
+	wp[i] = low_limb >> sh_1;
+
+	return retval;
+}
diff --git a/lib/mpi/generic_mpih-sub1.c b/lib/mpi/generic_mpih-sub1.c
new file mode 100644
index 000000000..eea4382aa
--- /dev/null
+++ b/lib/mpi/generic_mpih-sub1.c
@@ -0,0 +1,47 @@
+// SPDX-License-Identifier: GPL-2.0-or-later
+/* mpihelp-add_2.c  -  MPI helper functions
+ * Copyright (C) 1994, 1996, 1997, 1998, 2001 Free Software Foundation, Inc.
+ *
+ * This file is part of GnuPG.
+ *
+ * Note: This code is heavily based on the GNU MP Library.
+ *	 Actually it's the same code with only minor changes in the
+ *	 way the data is stored; this is to support the abstraction
+ *	 of an optional secure memory allocation which may be used
+ *	 to avoid revealing of sensitive data due to paging etc.
+ *	 The GNU MP Library itself is published under the LGPL;
+ *	 however I decided to publish this code under the plain GPL.
+ */
+
+#include "mpi-internal.h"
+#include "longlong.h"
+
+mpi_limb_t
+mpihelp_sub_n(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
+	      mpi_ptr_t s2_ptr, mpi_size_t size)
+{
+	mpi_limb_t x, y, cy;
+	mpi_size_t j;
+
+	/* The loop counter and index J goes from -SIZE to -1.  This way
+	   the loop becomes faster.  */
+	j = -size;
+
+	/* Offset the base pointers to compensate for the negative indices.  */
+	s1_ptr -= j;
+	s2_ptr -= j;
+	res_ptr -= j;
+
+	cy = 0;
+	do {
+		y = s2_ptr[j];
+		x = s1_ptr[j];
+		y += cy;	/* add previous carry to subtrahend */
+		cy = y < cy;	/* get out carry from that addition */
+		y = x - y;	/* main subtract */
+		cy += y > x;	/* get out carry from the subtract, combine */
+		res_ptr[j] = y;
+	} while (++j);
+
+	return cy;
+}
diff --git a/lib/mpi/longlong.h b/lib/mpi/longlong.h
new file mode 100644
index 000000000..b6fa1d08f
--- /dev/null
+++ b/lib/mpi/longlong.h
@@ -0,0 +1,1361 @@
+/* longlong.h -- definitions for mixed size 32/64 bit arithmetic.
+ * Note: I added some stuff for use with gnupg
+ *
+ * Copyright (C) 1991, 1992, 1993, 1994, 1996, 1998,
+ *	2000, 2001, 2002, 2003 Free Software Foundation, Inc.
+ *
+ * This file 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.
+ *
+ * This file 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 this file; see the file COPYING.LIB.  If not, write to
+ * the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+ * MA 02111-1307, USA. */
+
+#include <linux/count_zeros.h>
+
+/* You have to define the following before including this file:
+ *
+ * UWtype -- An unsigned type, default type for operations (typically a "word")
+ * UHWtype -- An unsigned type, at least half the size of UWtype.
+ * UDWtype -- An unsigned type, at least twice as large a UWtype
+ * W_TYPE_SIZE -- size in bits of UWtype
+ *
+ * SItype, USItype -- Signed and unsigned 32 bit types.
+ * DItype, UDItype -- Signed and unsigned 64 bit types.
+ *
+ * On a 32 bit machine UWtype should typically be USItype;
+ * on a 64 bit machine, UWtype should typically be UDItype.
+*/
+
+#define __BITS4 (W_TYPE_SIZE / 4)
+#define __ll_B ((UWtype) 1 << (W_TYPE_SIZE / 2))
+#define __ll_lowpart(t) ((UWtype) (t) & (__ll_B - 1))
+#define __ll_highpart(t) ((UWtype) (t) >> (W_TYPE_SIZE / 2))
+
+/* This is used to make sure no undesirable sharing between different libraries
+	that use this file takes place.  */
+#ifndef __MPN
+#define __MPN(x) __##x
+#endif
+
+/* Define auxiliary asm macros.
+ *
+ * 1) umul_ppmm(high_prod, low_prod, multiplier, multiplicand) multiplies two
+ * UWtype integers MULTIPLIER and MULTIPLICAND, and generates a two UWtype
+ * word product in HIGH_PROD and LOW_PROD.
+ *
+ * 2) __umulsidi3(a,b) multiplies two UWtype integers A and B, and returns a
+ * UDWtype product.  This is just a variant of umul_ppmm.
+
+ * 3) udiv_qrnnd(quotient, remainder, high_numerator, low_numerator,
+ * denominator) divides a UDWtype, composed by the UWtype integers
+ * HIGH_NUMERATOR and LOW_NUMERATOR, by DENOMINATOR and places the quotient
+ * in QUOTIENT and the remainder in REMAINDER.	HIGH_NUMERATOR must be less
+ * than DENOMINATOR for correct operation.  If, in addition, the most
+ * significant bit of DENOMINATOR must be 1, then the pre-processor symbol
+ * UDIV_NEEDS_NORMALIZATION is defined to 1.
+ * 4) sdiv_qrnnd(quotient, remainder, high_numerator, low_numerator,
+ * denominator).  Like udiv_qrnnd but the numbers are signed.  The quotient
+ * is rounded towards 0.
+ *
+ * 5) count_leading_zeros(count, x) counts the number of zero-bits from the
+ * msb to the first non-zero bit in the UWtype X.  This is the number of
+ * steps X needs to be shifted left to set the msb.  Undefined for X == 0,
+ * unless the symbol COUNT_LEADING_ZEROS_0 is defined to some value.
+ *
+ * 6) count_trailing_zeros(count, x) like count_leading_zeros, but counts
+ * from the least significant end.
+ *
+ * 7) add_ssaaaa(high_sum, low_sum, high_addend_1, low_addend_1,
+ * high_addend_2, low_addend_2) adds two UWtype integers, composed by
+ * HIGH_ADDEND_1 and LOW_ADDEND_1, and HIGH_ADDEND_2 and LOW_ADDEND_2
+ * respectively.  The result is placed in HIGH_SUM and LOW_SUM.  Overflow
+ * (i.e. carry out) is not stored anywhere, and is lost.
+ *
+ * 8) sub_ddmmss(high_difference, low_difference, high_minuend, low_minuend,
+ * high_subtrahend, low_subtrahend) subtracts two two-word UWtype integers,
+ * composed by HIGH_MINUEND_1 and LOW_MINUEND_1, and HIGH_SUBTRAHEND_2 and
+ * LOW_SUBTRAHEND_2 respectively.  The result is placed in HIGH_DIFFERENCE
+ * and LOW_DIFFERENCE.	Overflow (i.e. carry out) is not stored anywhere,
+ * and is lost.
+ *
+ * If any of these macros are left undefined for a particular CPU,
+ * C macros are used.  */
+
+/* The CPUs come in alphabetical order below.
+ *
+ * Please add support for more CPUs here, or improve the current support
+ * for the CPUs below!	*/
+
+#if defined(__GNUC__) && !defined(NO_ASM)
+
+/* We sometimes need to clobber "cc" with gcc2, but that would not be
+	understood by gcc1.	Use cpp to avoid major code duplication.  */
+#if __GNUC__ < 2
+#define __CLOBBER_CC
+#define __AND_CLOBBER_CC
+#else /* __GNUC__ >= 2 */
+#define __CLOBBER_CC : "cc"
+#define __AND_CLOBBER_CC , "cc"
+#endif /* __GNUC__ < 2 */
+
+/***************************************
+	**************  A29K  *****************
+	***************************************/
+#if (defined(__a29k__) || defined(_AM29K)) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("add %1,%4,%5\n" \
+		"addc %0,%2,%3" \
+	: "=r" ((USItype)(sh)), \
+		"=&r" ((USItype)(sl)) \
+	: "%r" ((USItype)(ah)), \
+		"rI" ((USItype)(bh)), \
+		"%r" ((USItype)(al)), \
+		"rI" ((USItype)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("sub %1,%4,%5\n" \
+		"subc %0,%2,%3" \
+	: "=r" ((USItype)(sh)), \
+		"=&r" ((USItype)(sl)) \
+	: "r" ((USItype)(ah)), \
+		"rI" ((USItype)(bh)), \
+		"r" ((USItype)(al)), \
+		"rI" ((USItype)(bl)))
+#define umul_ppmm(xh, xl, m0, m1) \
+do { \
+		USItype __m0 = (m0), __m1 = (m1); \
+		__asm__ ("multiplu %0,%1,%2" \
+		: "=r" ((USItype)(xl)) \
+		: "r" (__m0), \
+			"r" (__m1)); \
+		__asm__ ("multmu %0,%1,%2" \
+		: "=r" ((USItype)(xh)) \
+		: "r" (__m0), \
+			"r" (__m1)); \
+} while (0)
+#define udiv_qrnnd(q, r, n1, n0, d) \
+	__asm__ ("dividu %0,%3,%4" \
+	: "=r" ((USItype)(q)), \
+		"=q" ((USItype)(r)) \
+	: "1" ((USItype)(n1)), \
+		"r" ((USItype)(n0)), \
+		"r" ((USItype)(d)))
+#endif /* __a29k__ */
+
+#if defined(__alpha) && W_TYPE_SIZE == 64
+#define umul_ppmm(ph, pl, m0, m1)			\
+do {							\
+	UDItype __m0 = (m0), __m1 = (m1);		\
+	(ph) = __builtin_alpha_umulh(__m0, __m1);	\
+	(pl) = __m0 * __m1;                             \
+} while (0)
+#define UMUL_TIME 46
+#ifndef LONGLONG_STANDALONE
+#define udiv_qrnnd(q, r, n1, n0, d) \
+do { UDItype __r; \
+	(q) = __udiv_qrnnd(&__r, (n1), (n0), (d)); \
+	(r) = __r; \
+} while (0)
+extern UDItype __udiv_qrnnd(UDItype *, UDItype, UDItype, UDItype);
+#define UDIV_TIME 220
+#endif /* LONGLONG_STANDALONE */
+#endif /* __alpha */
+
+/***************************************
+	**************  ARM  ******************
+	***************************************/
+#if defined(__arm__) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("adds %1, %4, %5\n" \
+		"adc  %0, %2, %3" \
+	: "=r" (sh), \
+		"=&r" (sl) \
+	: "%r" ((USItype)(ah)), \
+		"rI" ((USItype)(bh)), \
+		"%r" ((USItype)(al)), \
+		"rI" ((USItype)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("subs %1, %4, %5\n" \
+		"sbc  %0, %2, %3" \
+	: "=r" (sh), \
+		"=&r" (sl) \
+	: "r" ((USItype)(ah)), \
+		"rI" ((USItype)(bh)), \
+		"r" ((USItype)(al)), \
+		"rI" ((USItype)(bl)))
+#if defined __ARM_ARCH_2__ || defined __ARM_ARCH_3__
+#define umul_ppmm(xh, xl, a, b) \
+	__asm__ ("@ Inlined umul_ppmm\n" \
+		"mov	%|r0, %2, lsr #16		@ AAAA\n" \
+		"mov	%|r2, %3, lsr #16		@ BBBB\n" \
+		"bic	%|r1, %2, %|r0, lsl #16		@ aaaa\n" \
+		"bic	%0, %3, %|r2, lsl #16		@ bbbb\n" \
+		"mul	%1, %|r1, %|r2			@ aaaa * BBBB\n" \
+		"mul	%|r2, %|r0, %|r2		@ AAAA * BBBB\n" \
+		"mul	%|r1, %0, %|r1			@ aaaa * bbbb\n" \
+		"mul	%0, %|r0, %0			@ AAAA * bbbb\n" \
+		"adds	%|r0, %1, %0			@ central sum\n" \
+		"addcs	%|r2, %|r2, #65536\n" \
+		"adds	%1, %|r1, %|r0, lsl #16\n" \
+		"adc	%0, %|r2, %|r0, lsr #16" \
+	: "=&r" (xh), \
+		"=r" (xl) \
+	: "r" ((USItype)(a)), \
+		"r" ((USItype)(b)) \
+	: "r0", "r1", "r2")
+#else
+#define umul_ppmm(xh, xl, a, b) \
+	__asm__ ("@ Inlined umul_ppmm\n" \
+		"umull %1, %0, %2, %3" \
+	: "=&r" (xh), \
+		"=&r" (xl) \
+	: "r" ((USItype)(a)), \
+		"r" ((USItype)(b)) \
+	: "r0", "r1")
+#endif
+#define UMUL_TIME 20
+#define UDIV_TIME 100
+#endif /* __arm__ */
+
+/***************************************
+	**************  CLIPPER  **************
+	***************************************/
+#if defined(__clipper__) && W_TYPE_SIZE == 32
+#define umul_ppmm(w1, w0, u, v) \
+	({union {UDItype __ll; \
+		struct {USItype __l, __h; } __i; \
+	} __xx; \
+	__asm__ ("mulwux %2,%0" \
+	: "=r" (__xx.__ll) \
+	: "%0" ((USItype)(u)), \
+		"r" ((USItype)(v))); \
+	(w1) = __xx.__i.__h; (w0) = __xx.__i.__l; })
+#define smul_ppmm(w1, w0, u, v) \
+	({union {DItype __ll; \
+		struct {SItype __l, __h; } __i; \
+	} __xx; \
+	__asm__ ("mulwx %2,%0" \
+	: "=r" (__xx.__ll) \
+	: "%0" ((SItype)(u)), \
+		"r" ((SItype)(v))); \
+	(w1) = __xx.__i.__h; (w0) = __xx.__i.__l; })
+#define __umulsidi3(u, v) \
+	({UDItype __w; \
+	__asm__ ("mulwux %2,%0" \
+	: "=r" (__w) \
+	: "%0" ((USItype)(u)), \
+		"r" ((USItype)(v))); \
+	__w; })
+#endif /* __clipper__ */
+
+/***************************************
+	**************  GMICRO  ***************
+	***************************************/
+#if defined(__gmicro__) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("add.w %5,%1\n" \
+		"addx %3,%0" \
+	: "=g" ((USItype)(sh)), \
+		"=&g" ((USItype)(sl)) \
+	: "%0" ((USItype)(ah)), \
+		"g" ((USItype)(bh)), \
+		"%1" ((USItype)(al)), \
+		"g" ((USItype)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("sub.w %5,%1\n" \
+		"subx %3,%0" \
+	: "=g" ((USItype)(sh)), \
+		"=&g" ((USItype)(sl)) \
+	: "0" ((USItype)(ah)), \
+		"g" ((USItype)(bh)), \
+		"1" ((USItype)(al)), \
+		"g" ((USItype)(bl)))
+#define umul_ppmm(ph, pl, m0, m1) \
+	__asm__ ("mulx %3,%0,%1" \
+	: "=g" ((USItype)(ph)), \
+		"=r" ((USItype)(pl)) \
+	: "%0" ((USItype)(m0)), \
+		"g" ((USItype)(m1)))
+#define udiv_qrnnd(q, r, nh, nl, d) \
+	__asm__ ("divx %4,%0,%1" \
+	: "=g" ((USItype)(q)), \
+		"=r" ((USItype)(r)) \
+	: "1" ((USItype)(nh)), \
+		"0" ((USItype)(nl)), \
+		"g" ((USItype)(d)))
+#endif
+
+/***************************************
+	**************  HPPA  *****************
+	***************************************/
+#if defined(__hppa) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("add %4,%5,%1\n" \
+		   "addc %2,%3,%0" \
+	: "=r" ((USItype)(sh)), \
+	     "=&r" ((USItype)(sl)) \
+	: "%rM" ((USItype)(ah)), \
+	     "rM" ((USItype)(bh)), \
+	     "%rM" ((USItype)(al)), \
+	     "rM" ((USItype)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("sub %4,%5,%1\n" \
+	   "subb %2,%3,%0" \
+	: "=r" ((USItype)(sh)), \
+	     "=&r" ((USItype)(sl)) \
+	: "rM" ((USItype)(ah)), \
+	     "rM" ((USItype)(bh)), \
+	     "rM" ((USItype)(al)), \
+	     "rM" ((USItype)(bl)))
+#if 0 && defined(_PA_RISC1_1)
+/* xmpyu uses floating point register which is not allowed in Linux kernel. */
+#define umul_ppmm(wh, wl, u, v) \
+do { \
+	union {UDItype __ll; \
+	struct {USItype __h, __l; } __i; \
+	} __xx; \
+	__asm__ ("xmpyu %1,%2,%0" \
+	: "=*f" (__xx.__ll) \
+	: "*f" ((USItype)(u)), \
+	       "*f" ((USItype)(v))); \
+	(wh) = __xx.__i.__h; \
+	(wl) = __xx.__i.__l; \
+} while (0)
+#define UMUL_TIME 8
+#define UDIV_TIME 60
+#else
+#define UMUL_TIME 40
+#define UDIV_TIME 80
+#endif
+#if 0 /* #ifndef LONGLONG_STANDALONE */
+#define udiv_qrnnd(q, r, n1, n0, d) \
+do { USItype __r; \
+	(q) = __udiv_qrnnd(&__r, (n1), (n0), (d)); \
+	(r) = __r; \
+} while (0)
+extern USItype __udiv_qrnnd();
+#endif /* LONGLONG_STANDALONE */
+#endif /* hppa */
+
+/***************************************
+	**************  I370  *****************
+	***************************************/
+#if (defined(__i370__) || defined(__mvs__)) && W_TYPE_SIZE == 32
+#define umul_ppmm(xh, xl, m0, m1) \
+do { \
+	union {UDItype __ll; \
+	   struct {USItype __h, __l; } __i; \
+	} __xx; \
+	USItype __m0 = (m0), __m1 = (m1); \
+	__asm__ ("mr %0,%3" \
+	: "=r" (__xx.__i.__h), \
+	       "=r" (__xx.__i.__l) \
+	: "%1" (__m0), \
+	       "r" (__m1)); \
+	(xh) = __xx.__i.__h; (xl) = __xx.__i.__l; \
+	(xh) += ((((SItype) __m0 >> 31) & __m1) \
+	     + (((SItype) __m1 >> 31) & __m0)); \
+} while (0)
+#define smul_ppmm(xh, xl, m0, m1) \
+do { \
+	union {DItype __ll; \
+	   struct {USItype __h, __l; } __i; \
+	} __xx; \
+	__asm__ ("mr %0,%3" \
+	: "=r" (__xx.__i.__h), \
+	       "=r" (__xx.__i.__l) \
+	: "%1" (m0), \
+	       "r" (m1)); \
+	(xh) = __xx.__i.__h; (xl) = __xx.__i.__l; \
+} while (0)
+#define sdiv_qrnnd(q, r, n1, n0, d) \
+do { \
+	union {DItype __ll; \
+	   struct {USItype __h, __l; } __i; \
+	} __xx; \
+	__xx.__i.__h = n1; __xx.__i.__l = n0; \
+	__asm__ ("dr %0,%2" \
+	: "=r" (__xx.__ll) \
+	: "0" (__xx.__ll), "r" (d)); \
+	(q) = __xx.__i.__l; (r) = __xx.__i.__h; \
+} while (0)
+#endif
+
+/***************************************
+	**************  I386  *****************
+	***************************************/
+#undef __i386__
+#if (defined(__i386__) || defined(__i486__)) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("addl %5,%1\n" \
+	   "adcl %3,%0" \
+	: "=r" (sh), \
+	     "=&r" (sl) \
+	: "%0" ((USItype)(ah)), \
+	     "g" ((USItype)(bh)), \
+	     "%1" ((USItype)(al)), \
+	     "g" ((USItype)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("subl %5,%1\n" \
+	   "sbbl %3,%0" \
+	: "=r" (sh), \
+	     "=&r" (sl) \
+	: "0" ((USItype)(ah)), \
+	     "g" ((USItype)(bh)), \
+	     "1" ((USItype)(al)), \
+	     "g" ((USItype)(bl)))
+#define umul_ppmm(w1, w0, u, v) \
+	__asm__ ("mull %3" \
+	: "=a" (w0), \
+	     "=d" (w1) \
+	: "%0" ((USItype)(u)), \
+	     "rm" ((USItype)(v)))
+#define udiv_qrnnd(q, r, n1, n0, d) \
+	__asm__ ("divl %4" \
+	: "=a" (q), \
+	     "=d" (r) \
+	: "0" ((USItype)(n0)), \
+	     "1" ((USItype)(n1)), \
+	     "rm" ((USItype)(d)))
+#ifndef UMUL_TIME
+#define UMUL_TIME 40
+#endif
+#ifndef UDIV_TIME
+#define UDIV_TIME 40
+#endif
+#endif /* 80x86 */
+
+/***************************************
+	**************  I860  *****************
+	***************************************/
+#if defined(__i860__) && W_TYPE_SIZE == 32
+#define rshift_rhlc(r, h, l, c) \
+	__asm__ ("shr %3,r0,r0\n" \
+	"shrd %1,%2,%0" \
+	   "=r" (r) : "r" (h), "r" (l), "rn" (c))
+#endif /* i860 */
+
+/***************************************
+	**************  I960  *****************
+	***************************************/
+#if defined(__i960__) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("cmpo 1,0\n" \
+	"addc %5,%4,%1\n" \
+	"addc %3,%2,%0" \
+	: "=r" ((USItype)(sh)), \
+	     "=&r" ((USItype)(sl)) \
+	: "%dI" ((USItype)(ah)), \
+	     "dI" ((USItype)(bh)), \
+	     "%dI" ((USItype)(al)), \
+	     "dI" ((USItype)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("cmpo 0,0\n" \
+	"subc %5,%4,%1\n" \
+	"subc %3,%2,%0" \
+	: "=r" ((USItype)(sh)), \
+	     "=&r" ((USItype)(sl)) \
+	: "dI" ((USItype)(ah)), \
+	     "dI" ((USItype)(bh)), \
+	     "dI" ((USItype)(al)), \
+	     "dI" ((USItype)(bl)))
+#define umul_ppmm(w1, w0, u, v) \
+	({union {UDItype __ll; \
+	   struct {USItype __l, __h; } __i; \
+	} __xx; \
+	__asm__ ("emul        %2,%1,%0" \
+	: "=d" (__xx.__ll) \
+	: "%dI" ((USItype)(u)), \
+	     "dI" ((USItype)(v))); \
+	(w1) = __xx.__i.__h; (w0) = __xx.__i.__l; })
+#define __umulsidi3(u, v) \
+	({UDItype __w; \
+	__asm__ ("emul      %2,%1,%0" \
+	: "=d" (__w) \
+	: "%dI" ((USItype)(u)), \
+	       "dI" ((USItype)(v))); \
+	__w; })
+#define udiv_qrnnd(q, r, nh, nl, d) \
+do { \
+	union {UDItype __ll; \
+	   struct {USItype __l, __h; } __i; \
+	} __nn; \
+	__nn.__i.__h = (nh); __nn.__i.__l = (nl); \
+	__asm__ ("ediv %d,%n,%0" \
+	: "=d" (__rq.__ll) \
+	: "dI" (__nn.__ll), \
+	     "dI" ((USItype)(d))); \
+	(r) = __rq.__i.__l; (q) = __rq.__i.__h; \
+} while (0)
+#if defined(__i960mx)		/* what is the proper symbol to test??? */
+#define rshift_rhlc(r, h, l, c) \
+do { \
+	union {UDItype __ll; \
+	   struct {USItype __l, __h; } __i; \
+	} __nn; \
+	__nn.__i.__h = (h); __nn.__i.__l = (l); \
+	__asm__ ("shre %2,%1,%0" \
+	: "=d" (r) : "dI" (__nn.__ll), "dI" (c)); \
+}
+#endif /* i960mx */
+#endif /* i960 */
+
+/***************************************
+	**************  68000	****************
+	***************************************/
+#if (defined(__mc68000__) || defined(__mc68020__) || defined(__NeXT__) || defined(mc68020)) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("add%.l %5,%1\n" \
+	   "addx%.l %3,%0" \
+	: "=d" ((USItype)(sh)), \
+	     "=&d" ((USItype)(sl)) \
+	: "%0" ((USItype)(ah)), \
+	     "d" ((USItype)(bh)), \
+	     "%1" ((USItype)(al)), \
+	     "g" ((USItype)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("sub%.l %5,%1\n" \
+	   "subx%.l %3,%0" \
+	: "=d" ((USItype)(sh)), \
+	     "=&d" ((USItype)(sl)) \
+	: "0" ((USItype)(ah)), \
+	     "d" ((USItype)(bh)), \
+	     "1" ((USItype)(al)), \
+	     "g" ((USItype)(bl)))
+#if (defined(__mc68020__) || defined(__NeXT__) || defined(mc68020))
+#define umul_ppmm(w1, w0, u, v) \
+	__asm__ ("mulu%.l %3,%1:%0" \
+	: "=d" ((USItype)(w0)), \
+	     "=d" ((USItype)(w1)) \
+	: "%0" ((USItype)(u)), \
+	     "dmi" ((USItype)(v)))
+#define UMUL_TIME 45
+#define udiv_qrnnd(q, r, n1, n0, d) \
+	__asm__ ("divu%.l %4,%1:%0" \
+	: "=d" ((USItype)(q)), \
+	     "=d" ((USItype)(r)) \
+	: "0" ((USItype)(n0)), \
+	     "1" ((USItype)(n1)), \
+	     "dmi" ((USItype)(d)))
+#define UDIV_TIME 90
+#define sdiv_qrnnd(q, r, n1, n0, d) \
+	__asm__ ("divs%.l %4,%1:%0" \
+	: "=d" ((USItype)(q)), \
+	     "=d" ((USItype)(r)) \
+	: "0" ((USItype)(n0)), \
+	     "1" ((USItype)(n1)), \
+	     "dmi" ((USItype)(d)))
+#else /* not mc68020 */
+#define umul_ppmm(xh, xl, a, b) \
+do { USItype __umul_tmp1, __umul_tmp2; \
+	__asm__ ("| Inlined umul_ppmm\n" \
+	"move%.l %5,%3\n" \
+	"move%.l %2,%0\n" \
+	"move%.w %3,%1\n" \
+	"swap	%3\n" \
+	"swap	%0\n" \
+	"mulu	%2,%1\n" \
+	"mulu	%3,%0\n" \
+	"mulu	%2,%3\n" \
+	"swap	%2\n" \
+	"mulu	%5,%2\n" \
+	"add%.l	%3,%2\n" \
+	"jcc	1f\n" \
+	"add%.l	%#0x10000,%0\n" \
+	"1:	move%.l %2,%3\n" \
+	"clr%.w	%2\n" \
+	"swap	%2\n" \
+	"swap	%3\n" \
+	"clr%.w	%3\n" \
+	"add%.l	%3,%1\n" \
+	"addx%.l %2,%0\n" \
+	"| End inlined umul_ppmm" \
+	: "=&d" ((USItype)(xh)), "=&d" ((USItype)(xl)), \
+		"=d" (__umul_tmp1), "=&d" (__umul_tmp2) \
+	: "%2" ((USItype)(a)), "d" ((USItype)(b))); \
+} while (0)
+#define UMUL_TIME 100
+#define UDIV_TIME 400
+#endif /* not mc68020 */
+#endif /* mc68000 */
+
+/***************************************
+	**************  88000	****************
+	***************************************/
+#if defined(__m88000__) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("addu.co %1,%r4,%r5\n" \
+	   "addu.ci %0,%r2,%r3" \
+	: "=r" ((USItype)(sh)), \
+	     "=&r" ((USItype)(sl)) \
+	: "%rJ" ((USItype)(ah)), \
+	     "rJ" ((USItype)(bh)), \
+	     "%rJ" ((USItype)(al)), \
+	     "rJ" ((USItype)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("subu.co %1,%r4,%r5\n" \
+	   "subu.ci %0,%r2,%r3" \
+	: "=r" ((USItype)(sh)), \
+	     "=&r" ((USItype)(sl)) \
+	: "rJ" ((USItype)(ah)), \
+	     "rJ" ((USItype)(bh)), \
+	     "rJ" ((USItype)(al)), \
+	     "rJ" ((USItype)(bl)))
+#if defined(__m88110__)
+#define umul_ppmm(wh, wl, u, v) \
+do { \
+	union {UDItype __ll; \
+	   struct {USItype __h, __l; } __i; \
+	} __x; \
+	__asm__ ("mulu.d %0,%1,%2" : "=r" (__x.__ll) : "r" (u), "r" (v)); \
+	(wh) = __x.__i.__h; \
+	(wl) = __x.__i.__l; \
+} while (0)
+#define udiv_qrnnd(q, r, n1, n0, d) \
+	({union {UDItype __ll; \
+	   struct {USItype __h, __l; } __i; \
+	} __x, __q; \
+	__x.__i.__h = (n1); __x.__i.__l = (n0); \
+	__asm__ ("divu.d %0,%1,%2" \
+	: "=r" (__q.__ll) : "r" (__x.__ll), "r" (d)); \
+	(r) = (n0) - __q.__l * (d); (q) = __q.__l; })
+#define UMUL_TIME 5
+#define UDIV_TIME 25
+#else
+#define UMUL_TIME 17
+#define UDIV_TIME 150
+#endif /* __m88110__ */
+#endif /* __m88000__ */
+
+/***************************************
+	**************  MIPS  *****************
+	***************************************/
+#if defined(__mips__) && W_TYPE_SIZE == 32
+#define umul_ppmm(w1, w0, u, v)			\
+do {						\
+	UDItype __ll = (UDItype)(u) * (v);	\
+	w1 = __ll >> 32;			\
+	w0 = __ll;				\
+} while (0)
+#define UMUL_TIME 10
+#define UDIV_TIME 100
+#endif /* __mips__ */
+
+/***************************************
+	**************  MIPS/64  **************
+	***************************************/
+#if (defined(__mips) && __mips >= 3) && W_TYPE_SIZE == 64
+#if defined(__mips_isa_rev) && __mips_isa_rev >= 6 && defined(CONFIG_CC_IS_GCC)
+/*
+ * GCC ends up emitting a __multi3 intrinsic call for MIPS64r6 with the plain C
+ * code below, so we special case MIPS64r6 until the compiler can do better.
+ */
+#define umul_ppmm(w1, w0, u, v)						\
+do {									\
+	__asm__ ("dmulu %0,%1,%2"					\
+		 : "=d" ((UDItype)(w0))					\
+		 : "d" ((UDItype)(u)),					\
+		   "d" ((UDItype)(v)));					\
+	__asm__ ("dmuhu %0,%1,%2"					\
+		 : "=d" ((UDItype)(w1))					\
+		 : "d" ((UDItype)(u)),					\
+		   "d" ((UDItype)(v)));					\
+} while (0)
+#else
+#define umul_ppmm(w1, w0, u, v) \
+do {									\
+	typedef unsigned int __ll_UTItype __attribute__((mode(TI)));	\
+	__ll_UTItype __ll = (__ll_UTItype)(u) * (v);			\
+	w1 = __ll >> 64;						\
+	w0 = __ll;							\
+} while (0)
+#endif
+#define UMUL_TIME 20
+#define UDIV_TIME 140
+#endif /* __mips__ */
+
+/***************************************
+	**************  32000	****************
+	***************************************/
+#if defined(__ns32000__) && W_TYPE_SIZE == 32
+#define umul_ppmm(w1, w0, u, v) \
+	({union {UDItype __ll; \
+	   struct {USItype __l, __h; } __i; \
+	} __xx; \
+	__asm__ ("meid %2,%0" \
+	: "=g" (__xx.__ll) \
+	: "%0" ((USItype)(u)), \
+	     "g" ((USItype)(v))); \
+	(w1) = __xx.__i.__h; (w0) = __xx.__i.__l; })
+#define __umulsidi3(u, v) \
+	({UDItype __w; \
+	__asm__ ("meid %2,%0" \
+	: "=g" (__w) \
+	: "%0" ((USItype)(u)), \
+	       "g" ((USItype)(v))); \
+	__w; })
+#define udiv_qrnnd(q, r, n1, n0, d) \
+	({union {UDItype __ll; \
+	   struct {USItype __l, __h; } __i; \
+	} __xx; \
+	__xx.__i.__h = (n1); __xx.__i.__l = (n0); \
+	__asm__ ("deid %2,%0" \
+	: "=g" (__xx.__ll) \
+	: "0" (__xx.__ll), \
+	     "g" ((USItype)(d))); \
+	(r) = __xx.__i.__l; (q) = __xx.__i.__h; })
+#endif /* __ns32000__ */
+
+/***************************************
+	**************  PPC  ******************
+	***************************************/
+#if (defined(_ARCH_PPC) || defined(_IBMR2)) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+do { \
+	if (__builtin_constant_p(bh) && (bh) == 0) \
+		__asm__ ("{a%I4|add%I4c} %1,%3,%4\n\t{aze|addze} %0,%2" \
+		: "=r" (sh), \
+		"=&r" (sl) \
+		: "%r" ((USItype)(ah)), \
+		"%r" ((USItype)(al)), \
+		"rI" ((USItype)(bl))); \
+	else if (__builtin_constant_p(bh) && (bh) == ~(USItype) 0) \
+		__asm__ ("{a%I4|add%I4c} %1,%3,%4\n\t{ame|addme} %0,%2" \
+		: "=r" (sh), \
+		"=&r" (sl) \
+		: "%r" ((USItype)(ah)), \
+		"%r" ((USItype)(al)), \
+		"rI" ((USItype)(bl))); \
+	else \
+		__asm__ ("{a%I5|add%I5c} %1,%4,%5\n\t{ae|adde} %0,%2,%3" \
+		: "=r" (sh), \
+		"=&r" (sl) \
+		: "%r" ((USItype)(ah)), \
+		"r" ((USItype)(bh)), \
+		"%r" ((USItype)(al)), \
+		"rI" ((USItype)(bl))); \
+} while (0)
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+do { \
+	if (__builtin_constant_p(ah) && (ah) == 0) \
+		__asm__ ("{sf%I3|subf%I3c} %1,%4,%3\n\t{sfze|subfze} %0,%2" \
+		: "=r" (sh), \
+		"=&r" (sl) \
+		: "r" ((USItype)(bh)), \
+		"rI" ((USItype)(al)), \
+		"r" ((USItype)(bl))); \
+	else if (__builtin_constant_p(ah) && (ah) == ~(USItype) 0) \
+		__asm__ ("{sf%I3|subf%I3c} %1,%4,%3\n\t{sfme|subfme} %0,%2" \
+		: "=r" (sh), \
+		"=&r" (sl) \
+		: "r" ((USItype)(bh)), \
+		"rI" ((USItype)(al)), \
+		"r" ((USItype)(bl))); \
+	else if (__builtin_constant_p(bh) && (bh) == 0) \
+		__asm__ ("{sf%I3|subf%I3c} %1,%4,%3\n\t{ame|addme} %0,%2" \
+		: "=r" (sh), \
+		"=&r" (sl) \
+		: "r" ((USItype)(ah)), \
+		"rI" ((USItype)(al)), \
+		"r" ((USItype)(bl))); \
+	else if (__builtin_constant_p(bh) && (bh) == ~(USItype) 0) \
+		__asm__ ("{sf%I3|subf%I3c} %1,%4,%3\n\t{aze|addze} %0,%2" \
+		: "=r" (sh), \
+		"=&r" (sl) \
+		: "r" ((USItype)(ah)), \
+		"rI" ((USItype)(al)), \
+		"r" ((USItype)(bl))); \
+	else \
+		__asm__ ("{sf%I4|subf%I4c} %1,%5,%4\n\t{sfe|subfe} %0,%3,%2" \
+		: "=r" (sh), \
+		"=&r" (sl) \
+		: "r" ((USItype)(ah)), \
+		"r" ((USItype)(bh)), \
+		"rI" ((USItype)(al)), \
+		"r" ((USItype)(bl))); \
+} while (0)
+#if defined(_ARCH_PPC)
+#define umul_ppmm(ph, pl, m0, m1) \
+do { \
+	USItype __m0 = (m0), __m1 = (m1); \
+	__asm__ ("mulhwu %0,%1,%2" \
+	: "=r" (ph) \
+	: "%r" (__m0), \
+	"r" (__m1)); \
+	(pl) = __m0 * __m1; \
+} while (0)
+#define UMUL_TIME 15
+#define smul_ppmm(ph, pl, m0, m1) \
+do { \
+	SItype __m0 = (m0), __m1 = (m1); \
+	__asm__ ("mulhw %0,%1,%2" \
+	: "=r" ((SItype) ph) \
+	: "%r" (__m0), \
+	"r" (__m1)); \
+	(pl) = __m0 * __m1; \
+} while (0)
+#define SMUL_TIME 14
+#define UDIV_TIME 120
+#else
+#define umul_ppmm(xh, xl, m0, m1) \
+do { \
+	USItype __m0 = (m0), __m1 = (m1); \
+	__asm__ ("mul %0,%2,%3" \
+	: "=r" ((USItype)(xh)), \
+	"=q" ((USItype)(xl)) \
+	: "r" (__m0), \
+	"r" (__m1)); \
+	(xh) += ((((SItype) __m0 >> 31) & __m1) \
+	+ (((SItype) __m1 >> 31) & __m0)); \
+} while (0)
+#define UMUL_TIME 8
+#define smul_ppmm(xh, xl, m0, m1) \
+	__asm__ ("mul %0,%2,%3" \
+	: "=r" ((SItype)(xh)), \
+	"=q" ((SItype)(xl)) \
+	: "r" (m0), \
+	"r" (m1))
+#define SMUL_TIME 4
+#define sdiv_qrnnd(q, r, nh, nl, d) \
+	__asm__ ("div %0,%2,%4" \
+	: "=r" ((SItype)(q)), "=q" ((SItype)(r)) \
+	: "r" ((SItype)(nh)), "1" ((SItype)(nl)), "r" ((SItype)(d)))
+#define UDIV_TIME 100
+#endif
+#endif /* Power architecture variants.  */
+
+/***************************************
+	**************  PYR  ******************
+	***************************************/
+#if defined(__pyr__) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("addw        %5,%1\n" \
+	"addwc	%3,%0" \
+	: "=r" ((USItype)(sh)), \
+	"=&r" ((USItype)(sl)) \
+	: "%0" ((USItype)(ah)), \
+	"g" ((USItype)(bh)), \
+	"%1" ((USItype)(al)), \
+	"g" ((USItype)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("subw        %5,%1\n" \
+	"subwb	%3,%0" \
+	: "=r" ((USItype)(sh)), \
+	"=&r" ((USItype)(sl)) \
+	: "0" ((USItype)(ah)), \
+	"g" ((USItype)(bh)), \
+	"1" ((USItype)(al)), \
+	"g" ((USItype)(bl)))
+	/* This insn works on Pyramids with AP, XP, or MI CPUs, but not with SP.  */
+#define umul_ppmm(w1, w0, u, v) \
+	({union {UDItype __ll; \
+	struct {USItype __h, __l; } __i; \
+	} __xx; \
+	__asm__ ("movw %1,%R0\n" \
+	"uemul %2,%0" \
+	: "=&r" (__xx.__ll) \
+	: "g" ((USItype) (u)), \
+	"g" ((USItype)(v))); \
+	(w1) = __xx.__i.__h; (w0) = __xx.__i.__l; })
+#endif /* __pyr__ */
+
+/***************************************
+	**************  RT/ROMP  **************
+	***************************************/
+#if defined(__ibm032__) /* RT/ROMP */	&& W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("a %1,%5\n" \
+	"ae %0,%3" \
+	: "=r" ((USItype)(sh)), \
+	"=&r" ((USItype)(sl)) \
+	: "%0" ((USItype)(ah)), \
+	"r" ((USItype)(bh)), \
+	"%1" ((USItype)(al)), \
+	"r" ((USItype)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("s %1,%5\n" \
+	"se %0,%3" \
+	: "=r" ((USItype)(sh)), \
+	"=&r" ((USItype)(sl)) \
+	: "0" ((USItype)(ah)), \
+	"r" ((USItype)(bh)), \
+	"1" ((USItype)(al)), \
+	"r" ((USItype)(bl)))
+#define umul_ppmm(ph, pl, m0, m1) \
+do { \
+	USItype __m0 = (m0), __m1 = (m1); \
+	__asm__ ( \
+	"s       r2,r2\n" \
+	"mts	r10,%2\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"cas	%0,r2,r0\n" \
+	"mfs	r10,%1" \
+	: "=r" ((USItype)(ph)), \
+	"=r" ((USItype)(pl)) \
+	: "%r" (__m0), \
+	"r" (__m1) \
+	: "r2"); \
+	(ph) += ((((SItype) __m0 >> 31) & __m1) \
+	+ (((SItype) __m1 >> 31) & __m0)); \
+} while (0)
+#define UMUL_TIME 20
+#define UDIV_TIME 200
+#endif /* RT/ROMP */
+
+/***************************************
+	**************  SH2  ******************
+	***************************************/
+#if (defined(__sh2__) || defined(__sh3__) || defined(__SH4__)) \
+	&& W_TYPE_SIZE == 32
+#define umul_ppmm(w1, w0, u, v) \
+	__asm__ ( \
+	"dmulu.l %2,%3\n" \
+	"sts	macl,%1\n" \
+	"sts	mach,%0" \
+	: "=r" ((USItype)(w1)), \
+	"=r" ((USItype)(w0)) \
+	: "r" ((USItype)(u)), \
+	"r" ((USItype)(v)) \
+	: "macl", "mach")
+#define UMUL_TIME 5
+#endif
+
+/***************************************
+	**************  SPARC	****************
+	***************************************/
+#if defined(__sparc__) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("addcc %r4,%5,%1\n" \
+	"addx %r2,%3,%0" \
+	: "=r" ((USItype)(sh)), \
+	"=&r" ((USItype)(sl)) \
+	: "%rJ" ((USItype)(ah)), \
+	"rI" ((USItype)(bh)), \
+	"%rJ" ((USItype)(al)), \
+	"rI" ((USItype)(bl)) \
+	__CLOBBER_CC)
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("subcc %r4,%5,%1\n" \
+	"subx %r2,%3,%0" \
+	: "=r" ((USItype)(sh)), \
+	"=&r" ((USItype)(sl)) \
+	: "rJ" ((USItype)(ah)), \
+	"rI" ((USItype)(bh)), \
+	"rJ" ((USItype)(al)), \
+	"rI" ((USItype)(bl)) \
+	__CLOBBER_CC)
+#if defined(__sparc_v8__)
+/* Don't match immediate range because, 1) it is not often useful,
+	2) the 'I' flag thinks of the range as a 13 bit signed interval,
+	while we want to match a 13 bit interval, sign extended to 32 bits,
+	but INTERPRETED AS UNSIGNED.  */
+#define umul_ppmm(w1, w0, u, v) \
+	__asm__ ("umul %2,%3,%1;rd %%y,%0" \
+	: "=r" ((USItype)(w1)), \
+	"=r" ((USItype)(w0)) \
+	: "r" ((USItype)(u)), \
+	"r" ((USItype)(v)))
+#define UMUL_TIME 5
+#ifndef SUPERSPARC		/* SuperSPARC's udiv only handles 53 bit dividends */
+#define udiv_qrnnd(q, r, n1, n0, d) \
+do { \
+	USItype __q; \
+	__asm__ ("mov %1,%%y;nop;nop;nop;udiv %2,%3,%0" \
+	: "=r" ((USItype)(__q)) \
+	: "r" ((USItype)(n1)), \
+	"r" ((USItype)(n0)), \
+	"r" ((USItype)(d))); \
+	(r) = (n0) - __q * (d); \
+	(q) = __q; \
+} while (0)
+#define UDIV_TIME 25
+#endif /* SUPERSPARC */
+#else /* ! __sparc_v8__ */
+#if defined(__sparclite__)
+/* This has hardware multiply but not divide.  It also has two additional
+	instructions scan (ffs from high bit) and divscc.  */
+#define umul_ppmm(w1, w0, u, v) \
+	__asm__ ("umul %2,%3,%1;rd %%y,%0" \
+	: "=r" ((USItype)(w1)), \
+	"=r" ((USItype)(w0)) \
+	: "r" ((USItype)(u)), \
+	"r" ((USItype)(v)))
+#define UMUL_TIME 5
+#define udiv_qrnnd(q, r, n1, n0, d) \
+	__asm__ ("! Inlined udiv_qrnnd\n" \
+	"wr	%%g0,%2,%%y	! Not a delayed write for sparclite\n" \
+	"tst	%%g0\n" \
+	"divscc	%3,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%0\n" \
+	"rd	%%y,%1\n" \
+	"bl,a 1f\n" \
+	"add	%1,%4,%1\n" \
+	"1:	! End of inline udiv_qrnnd" \
+	: "=r" ((USItype)(q)), \
+	"=r" ((USItype)(r)) \
+	: "r" ((USItype)(n1)), \
+	"r" ((USItype)(n0)), \
+	"rI" ((USItype)(d)) \
+	: "%g1" __AND_CLOBBER_CC)
+#define UDIV_TIME 37
+#endif /* __sparclite__ */
+#endif /* __sparc_v8__ */
+	/* Default to sparc v7 versions of umul_ppmm and udiv_qrnnd.  */
+#ifndef umul_ppmm
+#define umul_ppmm(w1, w0, u, v) \
+	__asm__ ("! Inlined umul_ppmm\n" \
+	"wr	%%g0,%2,%%y	! SPARC has 0-3 delay insn after a wr\n" \
+	"sra	%3,31,%%g2	! Don't move this insn\n" \
+	"and	%2,%%g2,%%g2	! Don't move this insn\n" \
+	"andcc	%%g0,0,%%g1	! Don't move this insn\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,0,%%g1\n" \
+	"add	%%g1,%%g2,%0\n" \
+	"rd	%%y,%1" \
+	: "=r" ((USItype)(w1)), \
+	"=r" ((USItype)(w0)) \
+	: "%rI" ((USItype)(u)), \
+	"r" ((USItype)(v)) \
+	: "%g1", "%g2" __AND_CLOBBER_CC)
+#define UMUL_TIME 39		/* 39 instructions */
+/* It's quite necessary to add this much assembler for the sparc.
+   The default udiv_qrnnd (in C) is more than 10 times slower!  */
+#define udiv_qrnnd(q, r, n1, n0, d) \
+  __asm__ ("! Inlined udiv_qrnnd\n\t"					\
+	   "mov	32,%%g1\n\t"						\
+	   "subcc	%1,%2,%%g0\n\t"					\
+	   "1:	bcs	5f\n\t"						\
+	   "addxcc %0,%0,%0	! shift n1n0 and a q-bit in lsb\n\t"	\
+	   "sub	%1,%2,%1	! this kills msb of n\n\t"		\
+	   "addx	%1,%1,%1	! so this can't give carry\n\t"	\
+	   "subcc	%%g1,1,%%g1\n\t"				\
+	   "2:	bne	1b\n\t"						\
+	   "subcc	%1,%2,%%g0\n\t"					\
+	   "bcs	3f\n\t"							\
+	   "addxcc %0,%0,%0	! shift n1n0 and a q-bit in lsb\n\t"	\
+	   "b		3f\n\t"						\
+	   "sub	%1,%2,%1	! this kills msb of n\n\t"		\
+	   "4:	sub	%1,%2,%1\n\t"					\
+	   "5:	addxcc	%1,%1,%1\n\t"					\
+	   "bcc	2b\n\t"							\
+	   "subcc	%%g1,1,%%g1\n\t"				\
+	   "! Got carry from n.  Subtract next step to cancel this carry.\n\t" \
+	   "bne	4b\n\t"							\
+	   "addcc	%0,%0,%0	! shift n1n0 and a 0-bit in lsb\n\t" \
+	   "sub	%1,%2,%1\n\t"						\
+	   "3:	xnor	%0,0,%0\n\t"					\
+	   "! End of inline udiv_qrnnd\n"				\
+	   : "=&r" ((USItype)(q)),					\
+	     "=&r" ((USItype)(r))					\
+	   : "r" ((USItype)(d)),					\
+	     "1" ((USItype)(n1)),					\
+	     "0" ((USItype)(n0)) : "%g1", "cc")
+#define UDIV_TIME (3+7*32)      /* 7 instructions/iteration. 32 iterations.  */
+#endif
+#endif /* __sparc__ */
+
+/***************************************
+	**************  VAX  ******************
+	***************************************/
+#if defined(__vax__) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("addl2 %5,%1\n" \
+	"adwc %3,%0" \
+	: "=g" ((USItype)(sh)), \
+	"=&g" ((USItype)(sl)) \
+	: "%0" ((USItype)(ah)), \
+	"g" ((USItype)(bh)), \
+	"%1" ((USItype)(al)), \
+	"g" ((USItype)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("subl2 %5,%1\n" \
+	"sbwc %3,%0" \
+	: "=g" ((USItype)(sh)), \
+	"=&g" ((USItype)(sl)) \
+	: "0" ((USItype)(ah)), \
+	"g" ((USItype)(bh)), \
+	"1" ((USItype)(al)), \
+	"g" ((USItype)(bl)))
+#define umul_ppmm(xh, xl, m0, m1) \
+do { \
+	union {UDItype __ll; \
+	struct {USItype __l, __h; } __i; \
+	} __xx; \
+	USItype __m0 = (m0), __m1 = (m1); \
+	__asm__ ("emul %1,%2,$0,%0" \
+	: "=g" (__xx.__ll) \
+	: "g" (__m0), \
+	"g" (__m1)); \
+	(xh) = __xx.__i.__h; (xl) = __xx.__i.__l; \
+	(xh) += ((((SItype) __m0 >> 31) & __m1) \
+	+ (((SItype) __m1 >> 31) & __m0)); \
+} while (0)
+#define sdiv_qrnnd(q, r, n1, n0, d) \
+do { \
+	union {DItype __ll; \
+	struct {SItype __l, __h; } __i; \
+	} __xx; \
+	__xx.__i.__h = n1; __xx.__i.__l = n0; \
+	__asm__ ("ediv %3,%2,%0,%1" \
+	: "=g" (q), "=g" (r) \
+	: "g" (__xx.__ll), "g" (d)); \
+} while (0)
+#endif /* __vax__ */
+
+/***************************************
+	**************  Z8000	****************
+	***************************************/
+#if defined(__z8000__) && W_TYPE_SIZE == 16
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("add %H1,%H5\n\tadc  %H0,%H3" \
+	: "=r" ((unsigned int)(sh)), \
+	"=&r" ((unsigned int)(sl)) \
+	: "%0" ((unsigned int)(ah)), \
+	"r" ((unsigned int)(bh)), \
+	"%1" ((unsigned int)(al)), \
+	"rQR" ((unsigned int)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("sub %H1,%H5\n\tsbc  %H0,%H3" \
+	: "=r" ((unsigned int)(sh)), \
+	"=&r" ((unsigned int)(sl)) \
+	: "0" ((unsigned int)(ah)), \
+	"r" ((unsigned int)(bh)), \
+	"1" ((unsigned int)(al)), \
+	"rQR" ((unsigned int)(bl)))
+#define umul_ppmm(xh, xl, m0, m1) \
+do { \
+	union {long int __ll; \
+	struct {unsigned int __h, __l; } __i; \
+	} __xx; \
+	unsigned int __m0 = (m0), __m1 = (m1); \
+	__asm__ ("mult      %S0,%H3" \
+	: "=r" (__xx.__i.__h), \
+	"=r" (__xx.__i.__l) \
+	: "%1" (__m0), \
+	"rQR" (__m1)); \
+	(xh) = __xx.__i.__h; (xl) = __xx.__i.__l; \
+	(xh) += ((((signed int) __m0 >> 15) & __m1) \
+	+ (((signed int) __m1 >> 15) & __m0)); \
+} while (0)
+#endif /* __z8000__ */
+
+#endif /* __GNUC__ */
+
+/***************************************
+	***********  Generic Versions	********
+	***************************************/
+#if !defined(umul_ppmm) && defined(__umulsidi3)
+#define umul_ppmm(ph, pl, m0, m1) \
+{ \
+	UDWtype __ll = __umulsidi3(m0, m1); \
+	ph = (UWtype) (__ll >> W_TYPE_SIZE); \
+	pl = (UWtype) __ll; \
+}
+#endif
+
+#if !defined(__umulsidi3)
+#define __umulsidi3(u, v) \
+	({UWtype __hi, __lo; \
+	umul_ppmm(__hi, __lo, u, v); \
+	((UDWtype) __hi << W_TYPE_SIZE) | __lo; })
+#endif
+
+	/* If this machine has no inline assembler, use C macros.  */
+
+#if !defined(add_ssaaaa)
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+do { \
+	UWtype __x; \
+	__x = (al) + (bl); \
+	(sh) = (ah) + (bh) + (__x < (al)); \
+	(sl) = __x; \
+} while (0)
+#endif
+
+#if !defined(sub_ddmmss)
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+do { \
+	UWtype __x; \
+	__x = (al) - (bl); \
+	(sh) = (ah) - (bh) - (__x > (al)); \
+	(sl) = __x; \
+} while (0)
+#endif
+
+#if !defined(umul_ppmm)
+#define umul_ppmm(w1, w0, u, v) \
+do { \
+	UWtype __x0, __x1, __x2, __x3; \
+	UHWtype __ul, __vl, __uh, __vh; \
+	UWtype __u = (u), __v = (v); \
+	\
+	__ul = __ll_lowpart(__u); \
+	__uh = __ll_highpart(__u); \
+	__vl = __ll_lowpart(__v); \
+	__vh = __ll_highpart(__v); \
+	\
+	__x0 = (UWtype) __ul * __vl; \
+	__x1 = (UWtype) __ul * __vh; \
+	__x2 = (UWtype) __uh * __vl; \
+	__x3 = (UWtype) __uh * __vh; \
+	\
+	__x1 += __ll_highpart(__x0);/* this can't give carry */ \
+	__x1 += __x2;		/* but this indeed can */ \
+	if (__x1 < __x2)		/* did we get it? */ \
+	__x3 += __ll_B;		/* yes, add it in the proper pos. */ \
+	\
+	(w1) = __x3 + __ll_highpart(__x1); \
+	(w0) = (__ll_lowpart(__x1) << W_TYPE_SIZE/2) + __ll_lowpart(__x0); \
+} while (0)
+#endif
+
+#if !defined(umul_ppmm)
+#define smul_ppmm(w1, w0, u, v) \
+do { \
+	UWtype __w1; \
+	UWtype __m0 = (u), __m1 = (v); \
+	umul_ppmm(__w1, w0, __m0, __m1); \
+	(w1) = __w1 - (-(__m0 >> (W_TYPE_SIZE - 1)) & __m1) \
+	- (-(__m1 >> (W_TYPE_SIZE - 1)) & __m0); \
+} while (0)
+#endif
+
+	/* Define this unconditionally, so it can be used for debugging.  */
+#define __udiv_qrnnd_c(q, r, n1, n0, d) \
+do { \
+	UWtype __d1, __d0, __q1, __q0, __r1, __r0, __m; \
+	__d1 = __ll_highpart(d); \
+	__d0 = __ll_lowpart(d); \
+	\
+	__r1 = (n1) % __d1; \
+	__q1 = (n1) / __d1; \
+	__m = (UWtype) __q1 * __d0; \
+	__r1 = __r1 * __ll_B | __ll_highpart(n0); \
+	if (__r1 < __m) { \
+		__q1--, __r1 += (d); \
+		if (__r1 >= (d)) /* i.e. we didn't get carry when adding to __r1 */ \
+		if (__r1 < __m) \
+			__q1--, __r1 += (d); \
+	} \
+	__r1 -= __m; \
+	\
+	__r0 = __r1 % __d1; \
+	__q0 = __r1 / __d1; \
+	__m = (UWtype) __q0 * __d0; \
+	__r0 = __r0 * __ll_B | __ll_lowpart(n0); \
+	if (__r0 < __m) { \
+		__q0--, __r0 += (d); \
+		if (__r0 >= (d)) \
+			if (__r0 < __m) \
+				__q0--, __r0 += (d); \
+	} \
+	__r0 -= __m; \
+	\
+	(q) = (UWtype) __q1 * __ll_B | __q0; \
+	(r) = __r0; \
+} while (0)
+
+/* If the processor has no udiv_qrnnd but sdiv_qrnnd, go through
+	__udiv_w_sdiv (defined in libgcc or elsewhere).  */
+#if !defined(udiv_qrnnd) && defined(sdiv_qrnnd)
+#define udiv_qrnnd(q, r, nh, nl, d) \
+do { \
+	UWtype __r; \
+	(q) = __MPN(udiv_w_sdiv) (&__r, nh, nl, d); \
+	(r) = __r; \
+} while (0)
+#endif
+
+	/* If udiv_qrnnd was not defined for this processor, use __udiv_qrnnd_c.  */
+#if !defined(udiv_qrnnd)
+#define UDIV_NEEDS_NORMALIZATION 1
+#define udiv_qrnnd __udiv_qrnnd_c
+#endif
+
+#ifndef UDIV_NEEDS_NORMALIZATION
+#define UDIV_NEEDS_NORMALIZATION 0
+#endif
diff --git a/lib/mpi/mpi-add.c b/lib/mpi/mpi-add.c
new file mode 100644
index 000000000..9056fc516
--- /dev/null
+++ b/lib/mpi/mpi-add.c
@@ -0,0 +1,155 @@
+/* mpi-add.c  -  MPI functions
+ * Copyright (C) 1994, 1996, 1998, 2001, 2002,
+ *               2003 Free Software Foundation, Inc.
+ *
+ * This file is part of Libgcrypt.
+ *
+ * Note: This code is heavily based on the GNU MP Library.
+ *	 Actually it's the same code with only minor changes in the
+ *	 way the data is stored; this is to support the abstraction
+ *	 of an optional secure memory allocation which may be used
+ *	 to avoid revealing of sensitive data due to paging etc.
+ */
+
+#include "mpi-internal.h"
+
+/****************
+ * Add the unsigned integer V to the mpi-integer U and store the
+ * result in W. U and V may be the same.
+ */
+void mpi_add_ui(MPI w, MPI u, unsigned long v)
+{
+	mpi_ptr_t wp, up;
+	mpi_size_t usize, wsize;
+	int usign, wsign;
+
+	usize = u->nlimbs;
+	usign = u->sign;
+	wsign = 0;
+
+	/* If not space for W (and possible carry), increase space.  */
+	wsize = usize + 1;
+	if (w->alloced < wsize)
+		mpi_resize(w, wsize);
+
+	/* These must be after realloc (U may be the same as W).  */
+	up = u->d;
+	wp = w->d;
+
+	if (!usize) {  /* simple */
+		wp[0] = v;
+		wsize = v ? 1:0;
+	} else if (!usign) {  /* mpi is not negative */
+		mpi_limb_t cy;
+		cy = mpihelp_add_1(wp, up, usize, v);
+		wp[usize] = cy;
+		wsize = usize + cy;
+	} else {
+		/* The signs are different.  Need exact comparison to determine
+		 * which operand to subtract from which.
+		 */
+		if (usize == 1 && up[0] < v) {
+			wp[0] = v - up[0];
+			wsize = 1;
+		} else {
+			mpihelp_sub_1(wp, up, usize, v);
+			/* Size can decrease with at most one limb. */
+			wsize = usize - (wp[usize-1] == 0);
+			wsign = 1;
+		}
+	}
+
+	w->nlimbs = wsize;
+	w->sign   = wsign;
+}
+
+
+void mpi_add(MPI w, MPI u, MPI v)
+{
+	mpi_ptr_t wp, up, vp;
+	mpi_size_t usize, vsize, wsize;
+	int usign, vsign, wsign;
+
+	if (u->nlimbs < v->nlimbs) { /* Swap U and V. */
+		usize = v->nlimbs;
+		usign = v->sign;
+		vsize = u->nlimbs;
+		vsign = u->sign;
+		wsize = usize + 1;
+		RESIZE_IF_NEEDED(w, wsize);
+		/* These must be after realloc (u or v may be the same as w).  */
+		up = v->d;
+		vp = u->d;
+	} else {
+		usize = u->nlimbs;
+		usign = u->sign;
+		vsize = v->nlimbs;
+		vsign = v->sign;
+		wsize = usize + 1;
+		RESIZE_IF_NEEDED(w, wsize);
+		/* These must be after realloc (u or v may be the same as w).  */
+		up = u->d;
+		vp = v->d;
+	}
+	wp = w->d;
+	wsign = 0;
+
+	if (!vsize) {  /* simple */
+		MPN_COPY(wp, up, usize);
+		wsize = usize;
+		wsign = usign;
+	} else if (usign != vsign) { /* different sign */
+		/* This test is right since USIZE >= VSIZE */
+		if (usize != vsize) {
+			mpihelp_sub(wp, up, usize, vp, vsize);
+			wsize = usize;
+			MPN_NORMALIZE(wp, wsize);
+			wsign = usign;
+		} else if (mpihelp_cmp(up, vp, usize) < 0) {
+			mpihelp_sub_n(wp, vp, up, usize);
+			wsize = usize;
+			MPN_NORMALIZE(wp, wsize);
+			if (!usign)
+				wsign = 1;
+		} else {
+			mpihelp_sub_n(wp, up, vp, usize);
+			wsize = usize;
+			MPN_NORMALIZE(wp, wsize);
+			if (usign)
+				wsign = 1;
+		}
+	} else { /* U and V have same sign. Add them. */
+		mpi_limb_t cy = mpihelp_add(wp, up, usize, vp, vsize);
+		wp[usize] = cy;
+		wsize = usize + cy;
+		if (usign)
+			wsign = 1;
+	}
+
+	w->nlimbs = wsize;
+	w->sign = wsign;
+}
+EXPORT_SYMBOL_GPL(mpi_add);
+
+void mpi_sub(MPI w, MPI u, MPI v)
+{
+	MPI vv = mpi_copy(v);
+	vv->sign = !vv->sign;
+	mpi_add(w, u, vv);
+	mpi_free(vv);
+}
+EXPORT_SYMBOL_GPL(mpi_sub);
+
+void mpi_addm(MPI w, MPI u, MPI v, MPI m)
+{
+	mpi_add(w, u, v);
+	mpi_mod(w, w, m);
+}
+EXPORT_SYMBOL_GPL(mpi_addm);
+
+void mpi_subm(MPI w, MPI u, MPI v, MPI m)
+{
+	mpi_sub(w, u, v);
+	mpi_mod(w, w, m);
+}
+EXPORT_SYMBOL_GPL(mpi_subm);
diff --git a/lib/mpi/mpi-bit.c b/lib/mpi/mpi-bit.c
new file mode 100644
index 000000000..070ba784c
--- /dev/null
+++ b/lib/mpi/mpi-bit.c
@@ -0,0 +1,308 @@
+/* mpi-bit.c  -  MPI bit level functions
+ * Copyright (C) 1998, 1999 Free Software Foundation, Inc.
+ *
+ * This file is part of GnuPG.
+ *
+ * GnuPG is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 2 of the License, or
+ * (at your option) any later version.
+ *
+ * GnuPG 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 General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA
+ */
+
+#include "mpi-internal.h"
+#include "longlong.h"
+
+#define A_LIMB_1 ((mpi_limb_t) 1)
+
+/****************
+ * Sometimes we have MSL (most significant limbs) which are 0;
+ * this is for some reasons not good, so this function removes them.
+ */
+void mpi_normalize(MPI a)
+{
+	for (; a->nlimbs && !a->d[a->nlimbs - 1]; a->nlimbs--)
+		;
+}
+EXPORT_SYMBOL_GPL(mpi_normalize);
+
+/****************
+ * Return the number of bits in A.
+ */
+unsigned mpi_get_nbits(MPI a)
+{
+	unsigned n;
+
+	mpi_normalize(a);
+
+	if (a->nlimbs) {
+		mpi_limb_t alimb = a->d[a->nlimbs - 1];
+		if (alimb)
+			n = count_leading_zeros(alimb);
+		else
+			n = BITS_PER_MPI_LIMB;
+		n = BITS_PER_MPI_LIMB - n + (a->nlimbs - 1) * BITS_PER_MPI_LIMB;
+	} else
+		n = 0;
+	return n;
+}
+EXPORT_SYMBOL_GPL(mpi_get_nbits);
+
+/****************
+ * Test whether bit N is set.
+ */
+int mpi_test_bit(MPI a, unsigned int n)
+{
+	unsigned int limbno, bitno;
+	mpi_limb_t limb;
+
+	limbno = n / BITS_PER_MPI_LIMB;
+	bitno  = n % BITS_PER_MPI_LIMB;
+
+	if (limbno >= a->nlimbs)
+		return 0; /* too far left: this is a 0 */
+	limb = a->d[limbno];
+	return (limb & (A_LIMB_1 << bitno)) ? 1 : 0;
+}
+EXPORT_SYMBOL_GPL(mpi_test_bit);
+
+/****************
+ * Set bit N of A.
+ */
+void mpi_set_bit(MPI a, unsigned int n)
+{
+	unsigned int i, limbno, bitno;
+
+	limbno = n / BITS_PER_MPI_LIMB;
+	bitno  = n % BITS_PER_MPI_LIMB;
+
+	if (limbno >= a->nlimbs) {
+		for (i = a->nlimbs; i < a->alloced; i++)
+			a->d[i] = 0;
+		mpi_resize(a, limbno+1);
+		a->nlimbs = limbno+1;
+	}
+	a->d[limbno] |= (A_LIMB_1<<bitno);
+}
+
+/****************
+ * Set bit N of A. and clear all bits above
+ */
+void mpi_set_highbit(MPI a, unsigned int n)
+{
+	unsigned int i, limbno, bitno;
+
+	limbno = n / BITS_PER_MPI_LIMB;
+	bitno  = n % BITS_PER_MPI_LIMB;
+
+	if (limbno >= a->nlimbs) {
+		for (i = a->nlimbs; i < a->alloced; i++)
+			a->d[i] = 0;
+		mpi_resize(a, limbno+1);
+		a->nlimbs = limbno+1;
+	}
+	a->d[limbno] |= (A_LIMB_1<<bitno);
+	for (bitno++; bitno < BITS_PER_MPI_LIMB; bitno++)
+		a->d[limbno] &= ~(A_LIMB_1 << bitno);
+	a->nlimbs = limbno+1;
+}
+EXPORT_SYMBOL_GPL(mpi_set_highbit);
+
+/****************
+ * clear bit N of A and all bits above
+ */
+void mpi_clear_highbit(MPI a, unsigned int n)
+{
+	unsigned int limbno, bitno;
+
+	limbno = n / BITS_PER_MPI_LIMB;
+	bitno  = n % BITS_PER_MPI_LIMB;
+
+	if (limbno >= a->nlimbs)
+		return; /* not allocated, therefore no need to clear bits :-) */
+
+	for ( ; bitno < BITS_PER_MPI_LIMB; bitno++)
+		a->d[limbno] &= ~(A_LIMB_1 << bitno);
+	a->nlimbs = limbno+1;
+}
+
+/****************
+ * Clear bit N of A.
+ */
+void mpi_clear_bit(MPI a, unsigned int n)
+{
+	unsigned int limbno, bitno;
+
+	limbno = n / BITS_PER_MPI_LIMB;
+	bitno  = n % BITS_PER_MPI_LIMB;
+
+	if (limbno >= a->nlimbs)
+		return; /* Don't need to clear this bit, it's far too left.  */
+	a->d[limbno] &= ~(A_LIMB_1 << bitno);
+}
+EXPORT_SYMBOL_GPL(mpi_clear_bit);
+
+
+/****************
+ * Shift A by COUNT limbs to the right
+ * This is used only within the MPI library
+ */
+void mpi_rshift_limbs(MPI a, unsigned int count)
+{
+	mpi_ptr_t ap = a->d;
+	mpi_size_t n = a->nlimbs;
+	unsigned int i;
+
+	if (count >= n) {
+		a->nlimbs = 0;
+		return;
+	}
+
+	for (i = 0; i < n - count; i++)
+		ap[i] = ap[i+count];
+	ap[i] = 0;
+	a->nlimbs -= count;
+}
+
+/*
+ * Shift A by N bits to the right.
+ */
+void mpi_rshift(MPI x, MPI a, unsigned int n)
+{
+	mpi_size_t xsize;
+	unsigned int i;
+	unsigned int nlimbs = (n/BITS_PER_MPI_LIMB);
+	unsigned int nbits = (n%BITS_PER_MPI_LIMB);
+
+	if (x == a) {
+		/* In-place operation.  */
+		if (nlimbs >= x->nlimbs) {
+			x->nlimbs = 0;
+			return;
+		}
+
+		if (nlimbs) {
+			for (i = 0; i < x->nlimbs - nlimbs; i++)
+				x->d[i] = x->d[i+nlimbs];
+			x->d[i] = 0;
+			x->nlimbs -= nlimbs;
+		}
+		if (x->nlimbs && nbits)
+			mpihelp_rshift(x->d, x->d, x->nlimbs, nbits);
+	} else if (nlimbs) {
+		/* Copy and shift by more or equal bits than in a limb. */
+		xsize = a->nlimbs;
+		x->sign = a->sign;
+		RESIZE_IF_NEEDED(x, xsize);
+		x->nlimbs = xsize;
+		for (i = 0; i < a->nlimbs; i++)
+			x->d[i] = a->d[i];
+		x->nlimbs = i;
+
+		if (nlimbs >= x->nlimbs) {
+			x->nlimbs = 0;
+			return;
+		}
+
+		if (nlimbs) {
+			for (i = 0; i < x->nlimbs - nlimbs; i++)
+				x->d[i] = x->d[i+nlimbs];
+			x->d[i] = 0;
+			x->nlimbs -= nlimbs;
+		}
+
+		if (x->nlimbs && nbits)
+			mpihelp_rshift(x->d, x->d, x->nlimbs, nbits);
+	} else {
+		/* Copy and shift by less than bits in a limb.  */
+		xsize = a->nlimbs;
+		x->sign = a->sign;
+		RESIZE_IF_NEEDED(x, xsize);
+		x->nlimbs = xsize;
+
+		if (xsize) {
+			if (nbits)
+				mpihelp_rshift(x->d, a->d, x->nlimbs, nbits);
+			else {
+				/* The rshift helper function is not specified for
+				 * NBITS==0, thus we do a plain copy here.
+				 */
+				for (i = 0; i < x->nlimbs; i++)
+					x->d[i] = a->d[i];
+			}
+		}
+	}
+	MPN_NORMALIZE(x->d, x->nlimbs);
+}
+EXPORT_SYMBOL_GPL(mpi_rshift);
+
+/****************
+ * Shift A by COUNT limbs to the left
+ * This is used only within the MPI library
+ */
+void mpi_lshift_limbs(MPI a, unsigned int count)
+{
+	mpi_ptr_t ap;
+	int n = a->nlimbs;
+	int i;
+
+	if (!count || !n)
+		return;
+
+	RESIZE_IF_NEEDED(a, n+count);
+
+	ap = a->d;
+	for (i = n-1; i >= 0; i--)
+		ap[i+count] = ap[i];
+	for (i = 0; i < count; i++)
+		ap[i] = 0;
+	a->nlimbs += count;
+}
+
+/*
+ * Shift A by N bits to the left.
+ */
+void mpi_lshift(MPI x, MPI a, unsigned int n)
+{
+	unsigned int nlimbs = (n/BITS_PER_MPI_LIMB);
+	unsigned int nbits = (n%BITS_PER_MPI_LIMB);
+
+	if (x == a && !n)
+		return;  /* In-place shift with an amount of zero.  */
+
+	if (x != a) {
+		/* Copy A to X.  */
+		unsigned int alimbs = a->nlimbs;
+		int asign = a->sign;
+		mpi_ptr_t xp, ap;
+
+		RESIZE_IF_NEEDED(x, alimbs+nlimbs+1);
+		xp = x->d;
+		ap = a->d;
+		MPN_COPY(xp, ap, alimbs);
+		x->nlimbs = alimbs;
+		x->flags = a->flags;
+		x->sign = asign;
+	}
+
+	if (nlimbs && !nbits) {
+		/* Shift a full number of limbs.  */
+		mpi_lshift_limbs(x, nlimbs);
+	} else if (n) {
+		/* We use a very dump approach: Shift left by the number of
+		 * limbs plus one and than fix it up by an rshift.
+		 */
+		mpi_lshift_limbs(x, nlimbs+1);
+		mpi_rshift(x, x, BITS_PER_MPI_LIMB - nbits);
+	}
+
+	MPN_NORMALIZE(x->d, x->nlimbs);
+}
diff --git a/lib/mpi/mpi-cmp.c b/lib/mpi/mpi-cmp.c
new file mode 100644
index 000000000..0835b6213
--- /dev/null
+++ b/lib/mpi/mpi-cmp.c
@@ -0,0 +1,98 @@
+/* mpi-cmp.c  -  MPI functions
+ * Copyright (C) 1998, 1999 Free Software Foundation, Inc.
+ *
+ * This file is part of GnuPG.
+ *
+ * GnuPG is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 2 of the License, or
+ * (at your option) any later version.
+ *
+ * GnuPG 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 General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA
+ */
+
+#include "mpi-internal.h"
+
+int mpi_cmp_ui(MPI u, unsigned long v)
+{
+	mpi_limb_t limb = v;
+
+	mpi_normalize(u);
+	if (u->nlimbs == 0) {
+		if (v == 0)
+			return 0;
+		else
+			return -1;
+	}
+	if (u->sign)
+		return -1;
+	if (u->nlimbs > 1)
+		return 1;
+
+	if (u->d[0] == limb)
+		return 0;
+	else if (u->d[0] > limb)
+		return 1;
+	else
+		return -1;
+}
+EXPORT_SYMBOL_GPL(mpi_cmp_ui);
+
+static int do_mpi_cmp(MPI u, MPI v, int absmode)
+{
+	mpi_size_t usize;
+	mpi_size_t vsize;
+	int usign;
+	int vsign;
+	int cmp;
+
+	mpi_normalize(u);
+	mpi_normalize(v);
+
+	usize = u->nlimbs;
+	vsize = v->nlimbs;
+	usign = absmode ? 0 : u->sign;
+	vsign = absmode ? 0 : v->sign;
+
+	/* Compare sign bits.  */
+
+	if (!usign && vsign)
+		return 1;
+	if (usign && !vsign)
+		return -1;
+
+	/* U and V are either both positive or both negative.  */
+
+	if (usize != vsize && !usign && !vsign)
+		return usize - vsize;
+	if (usize != vsize && usign && vsign)
+		return vsize + usize;
+	if (!usize)
+		return 0;
+	cmp = mpihelp_cmp(u->d, v->d, usize);
+	if (!cmp)
+		return 0;
+	if ((cmp < 0?1:0) == (usign?1:0))
+		return 1;
+
+	return -1;
+}
+
+int mpi_cmp(MPI u, MPI v)
+{
+	return do_mpi_cmp(u, v, 0);
+}
+EXPORT_SYMBOL_GPL(mpi_cmp);
+
+int mpi_cmpabs(MPI u, MPI v)
+{
+	return do_mpi_cmp(u, v, 1);
+}
+EXPORT_SYMBOL_GPL(mpi_cmpabs);
diff --git a/lib/mpi/mpi-div.c b/lib/mpi/mpi-div.c
new file mode 100644
index 000000000..45beab8b9
--- /dev/null
+++ b/lib/mpi/mpi-div.c
@@ -0,0 +1,234 @@
+/* mpi-div.c  -  MPI functions
+ * Copyright (C) 1994, 1996, 1998, 2001, 2002,
+ *               2003 Free Software Foundation, Inc.
+ *
+ * This file is part of Libgcrypt.
+ *
+ * Note: This code is heavily based on the GNU MP Library.
+ *	 Actually it's the same code with only minor changes in the
+ *	 way the data is stored; this is to support the abstraction
+ *	 of an optional secure memory allocation which may be used
+ *	 to avoid revealing of sensitive data due to paging etc.
+ */
+
+#include "mpi-internal.h"
+#include "longlong.h"
+
+void mpi_tdiv_qr(MPI quot, MPI rem, MPI num, MPI den);
+void mpi_fdiv_qr(MPI quot, MPI rem, MPI dividend, MPI divisor);
+
+void mpi_fdiv_r(MPI rem, MPI dividend, MPI divisor)
+{
+	int divisor_sign = divisor->sign;
+	MPI temp_divisor = NULL;
+
+	/* We need the original value of the divisor after the remainder has been
+	 * preliminary calculated.	We have to copy it to temporary space if it's
+	 * the same variable as REM.
+	 */
+	if (rem == divisor) {
+		temp_divisor = mpi_copy(divisor);
+		divisor = temp_divisor;
+	}
+
+	mpi_tdiv_r(rem, dividend, divisor);
+
+	if (((divisor_sign?1:0) ^ (dividend->sign?1:0)) && rem->nlimbs)
+		mpi_add(rem, rem, divisor);
+
+	if (temp_divisor)
+		mpi_free(temp_divisor);
+}
+
+void mpi_fdiv_q(MPI quot, MPI dividend, MPI divisor)
+{
+	MPI tmp = mpi_alloc(mpi_get_nlimbs(quot));
+	mpi_fdiv_qr(quot, tmp, dividend, divisor);
+	mpi_free(tmp);
+}
+
+void mpi_fdiv_qr(MPI quot, MPI rem, MPI dividend, MPI divisor)
+{
+	int divisor_sign = divisor->sign;
+	MPI temp_divisor = NULL;
+
+	if (quot == divisor || rem == divisor) {
+		temp_divisor = mpi_copy(divisor);
+		divisor = temp_divisor;
+	}
+
+	mpi_tdiv_qr(quot, rem, dividend, divisor);
+
+	if ((divisor_sign ^ dividend->sign) && rem->nlimbs) {
+		mpi_sub_ui(quot, quot, 1);
+		mpi_add(rem, rem, divisor);
+	}
+
+	if (temp_divisor)
+		mpi_free(temp_divisor);
+}
+
+/* If den == quot, den needs temporary storage.
+ * If den == rem, den needs temporary storage.
+ * If num == quot, num needs temporary storage.
+ * If den has temporary storage, it can be normalized while being copied,
+ *   i.e no extra storage should be allocated.
+ */
+
+void mpi_tdiv_r(MPI rem, MPI num, MPI den)
+{
+	mpi_tdiv_qr(NULL, rem, num, den);
+}
+
+void mpi_tdiv_qr(MPI quot, MPI rem, MPI num, MPI den)
+{
+	mpi_ptr_t np, dp;
+	mpi_ptr_t qp, rp;
+	mpi_size_t nsize = num->nlimbs;
+	mpi_size_t dsize = den->nlimbs;
+	mpi_size_t qsize, rsize;
+	mpi_size_t sign_remainder = num->sign;
+	mpi_size_t sign_quotient = num->sign ^ den->sign;
+	unsigned int normalization_steps;
+	mpi_limb_t q_limb;
+	mpi_ptr_t marker[5];
+	int markidx = 0;
+
+	/* Ensure space is enough for quotient and remainder.
+	 * We need space for an extra limb in the remainder, because it's
+	 * up-shifted (normalized) below.
+	 */
+	rsize = nsize + 1;
+	mpi_resize(rem, rsize);
+
+	qsize = rsize - dsize;	  /* qsize cannot be bigger than this.	*/
+	if (qsize <= 0) {
+		if (num != rem) {
+			rem->nlimbs = num->nlimbs;
+			rem->sign = num->sign;
+			MPN_COPY(rem->d, num->d, nsize);
+		}
+		if (quot) {
+			/* This needs to follow the assignment to rem, in case the
+			 * numerator and quotient are the same.
+			 */
+			quot->nlimbs = 0;
+			quot->sign = 0;
+		}
+		return;
+	}
+
+	if (quot)
+		mpi_resize(quot, qsize);
+
+	/* Read pointers here, when reallocation is finished.  */
+	np = num->d;
+	dp = den->d;
+	rp = rem->d;
+
+	/* Optimize division by a single-limb divisor.  */
+	if (dsize == 1) {
+		mpi_limb_t rlimb;
+		if (quot) {
+			qp = quot->d;
+			rlimb = mpihelp_divmod_1(qp, np, nsize, dp[0]);
+			qsize -= qp[qsize - 1] == 0;
+			quot->nlimbs = qsize;
+			quot->sign = sign_quotient;
+		} else
+			rlimb = mpihelp_mod_1(np, nsize, dp[0]);
+		rp[0] = rlimb;
+		rsize = rlimb != 0?1:0;
+		rem->nlimbs = rsize;
+		rem->sign = sign_remainder;
+		return;
+	}
+
+
+	if (quot) {
+		qp = quot->d;
+		/* Make sure QP and NP point to different objects.  Otherwise the
+		 * numerator would be gradually overwritten by the quotient limbs.
+		 */
+		if (qp == np) { /* Copy NP object to temporary space.  */
+			np = marker[markidx++] = mpi_alloc_limb_space(nsize);
+			MPN_COPY(np, qp, nsize);
+		}
+	} else /* Put quotient at top of remainder. */
+		qp = rp + dsize;
+
+	normalization_steps = count_leading_zeros(dp[dsize - 1]);
+
+	/* Normalize the denominator, i.e. make its most significant bit set by
+	 * shifting it NORMALIZATION_STEPS bits to the left.  Also shift the
+	 * numerator the same number of steps (to keep the quotient the same!).
+	 */
+	if (normalization_steps) {
+		mpi_ptr_t tp;
+		mpi_limb_t nlimb;
+
+		/* Shift up the denominator setting the most significant bit of
+		 * the most significant word.  Use temporary storage not to clobber
+		 * the original contents of the denominator.
+		 */
+		tp = marker[markidx++] = mpi_alloc_limb_space(dsize);
+		mpihelp_lshift(tp, dp, dsize, normalization_steps);
+		dp = tp;
+
+		/* Shift up the numerator, possibly introducing a new most
+		 * significant word.  Move the shifted numerator in the remainder
+		 * meanwhile.
+		 */
+		nlimb = mpihelp_lshift(rp, np, nsize, normalization_steps);
+		if (nlimb) {
+			rp[nsize] = nlimb;
+			rsize = nsize + 1;
+		} else
+			rsize = nsize;
+	} else {
+		/* The denominator is already normalized, as required.	Copy it to
+		 * temporary space if it overlaps with the quotient or remainder.
+		 */
+		if (dp == rp || (quot && (dp == qp))) {
+			mpi_ptr_t tp;
+
+			tp = marker[markidx++] = mpi_alloc_limb_space(dsize);
+			MPN_COPY(tp, dp, dsize);
+			dp = tp;
+		}
+
+		/* Move the numerator to the remainder.  */
+		if (rp != np)
+			MPN_COPY(rp, np, nsize);
+
+		rsize = nsize;
+	}
+
+	q_limb = mpihelp_divrem(qp, 0, rp, rsize, dp, dsize);
+
+	if (quot) {
+		qsize = rsize - dsize;
+		if (q_limb) {
+			qp[qsize] = q_limb;
+			qsize += 1;
+		}
+
+		quot->nlimbs = qsize;
+		quot->sign = sign_quotient;
+	}
+
+	rsize = dsize;
+	MPN_NORMALIZE(rp, rsize);
+
+	if (normalization_steps && rsize) {
+		mpihelp_rshift(rp, rp, rsize, normalization_steps);
+		rsize -= rp[rsize - 1] == 0?1:0;
+	}
+
+	rem->nlimbs = rsize;
+	rem->sign	= sign_remainder;
+	while (markidx) {
+		markidx--;
+		mpi_free_limb_space(marker[markidx]);
+	}
+}
diff --git a/lib/mpi/mpi-inline.h b/lib/mpi/mpi-inline.h
new file mode 100644
index 000000000..980b6b940
--- /dev/null
+++ b/lib/mpi/mpi-inline.h
@@ -0,0 +1,109 @@
+/* SPDX-License-Identifier: GPL-2.0-or-later */
+/* mpi-inline.h  -  Internal to the Multi Precision Integers
+ *	Copyright (C) 1994, 1996, 1998, 1999 Free Software Foundation, Inc.
+ *
+ * This file is part of GnuPG.
+ *
+ * Note: This code is heavily based on the GNU MP Library.
+ *	 Actually it's the same code with only minor changes in the
+ *	 way the data is stored; this is to support the abstraction
+ *	 of an optional secure memory allocation which may be used
+ *	 to avoid revealing of sensitive data due to paging etc.
+ *	 The GNU MP Library itself is published under the LGPL;
+ *	 however I decided to publish this code under the plain GPL.
+ */
+
+#ifndef G10_MPI_INLINE_H
+#define G10_MPI_INLINE_H
+
+#ifndef G10_MPI_INLINE_DECL
+#define G10_MPI_INLINE_DECL  static inline
+#endif
+
+G10_MPI_INLINE_DECL mpi_limb_t
+mpihelp_add_1(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
+	      mpi_size_t s1_size, mpi_limb_t s2_limb)
+{
+	mpi_limb_t x;
+
+	x = *s1_ptr++;
+	s2_limb += x;
+	*res_ptr++ = s2_limb;
+	if (s2_limb < x) {	/* sum is less than the left operand: handle carry */
+		while (--s1_size) {
+			x = *s1_ptr++ + 1;	/* add carry */
+			*res_ptr++ = x;	/* and store */
+			if (x)	/* not 0 (no overflow): we can stop */
+				goto leave;
+		}
+		return 1;	/* return carry (size of s1 to small) */
+	}
+
+leave:
+	if (res_ptr != s1_ptr) {	/* not the same variable */
+		mpi_size_t i;	/* copy the rest */
+		for (i = 0; i < s1_size - 1; i++)
+			res_ptr[i] = s1_ptr[i];
+	}
+	return 0;		/* no carry */
+}
+
+G10_MPI_INLINE_DECL mpi_limb_t
+mpihelp_add(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr, mpi_size_t s1_size,
+	    mpi_ptr_t s2_ptr, mpi_size_t s2_size)
+{
+	mpi_limb_t cy = 0;
+
+	if (s2_size)
+		cy = mpihelp_add_n(res_ptr, s1_ptr, s2_ptr, s2_size);
+
+	if (s1_size - s2_size)
+		cy = mpihelp_add_1(res_ptr + s2_size, s1_ptr + s2_size,
+				   s1_size - s2_size, cy);
+	return cy;
+}
+
+G10_MPI_INLINE_DECL mpi_limb_t
+mpihelp_sub_1(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
+	      mpi_size_t s1_size, mpi_limb_t s2_limb)
+{
+	mpi_limb_t x;
+
+	x = *s1_ptr++;
+	s2_limb = x - s2_limb;
+	*res_ptr++ = s2_limb;
+	if (s2_limb > x) {
+		while (--s1_size) {
+			x = *s1_ptr++;
+			*res_ptr++ = x - 1;
+			if (x)
+				goto leave;
+		}
+		return 1;
+	}
+
+leave:
+	if (res_ptr != s1_ptr) {
+		mpi_size_t i;
+		for (i = 0; i < s1_size - 1; i++)
+			res_ptr[i] = s1_ptr[i];
+	}
+	return 0;
+}
+
+G10_MPI_INLINE_DECL mpi_limb_t
+mpihelp_sub(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr, mpi_size_t s1_size,
+	    mpi_ptr_t s2_ptr, mpi_size_t s2_size)
+{
+	mpi_limb_t cy = 0;
+
+	if (s2_size)
+		cy = mpihelp_sub_n(res_ptr, s1_ptr, s2_ptr, s2_size);
+
+	if (s1_size - s2_size)
+		cy = mpihelp_sub_1(res_ptr + s2_size, s1_ptr + s2_size,
+				   s1_size - s2_size, cy);
+	return cy;
+}
+
+#endif /*G10_MPI_INLINE_H */
diff --git a/lib/mpi/mpi-internal.h b/lib/mpi/mpi-internal.h
new file mode 100644
index 000000000..554002182
--- /dev/null
+++ b/lib/mpi/mpi-internal.h
@@ -0,0 +1,232 @@
+/* SPDX-License-Identifier: GPL-2.0-or-later */
+/* mpi-internal.h  -  Internal to the Multi Precision Integers
+ *	Copyright (C) 1994, 1996 Free Software Foundation, Inc.
+ *	Copyright (C) 1998, 2000 Free Software Foundation, Inc.
+ *
+ * This file is part of GnuPG.
+ *
+ * Note: This code is heavily based on the GNU MP Library.
+ *	 Actually it's the same code with only minor changes in the
+ *	 way the data is stored; this is to support the abstraction
+ *	 of an optional secure memory allocation which may be used
+ *	 to avoid revealing of sensitive data due to paging etc.
+ *	 The GNU MP Library itself is published under the LGPL;
+ *	 however I decided to publish this code under the plain GPL.
+ */
+
+#ifndef G10_MPI_INTERNAL_H
+#define G10_MPI_INTERNAL_H
+
+#include <linux/module.h>
+#include <linux/kernel.h>
+#include <linux/slab.h>
+#include <linux/string.h>
+#include <linux/mpi.h>
+#include <linux/errno.h>
+
+#define log_debug printk
+#define log_bug printk
+
+#define assert(x) \
+	do { \
+		if (!x) \
+			log_bug("failed assertion\n"); \
+	} while (0);
+
+/* If KARATSUBA_THRESHOLD is not already defined, define it to a
+ * value which is good on most machines.  */
+
+/* tested 4, 16, 32 and 64, where 16 gave the best performance when
+ * checking a 768 and a 1024 bit ElGamal signature.
+ * (wk 22.12.97) */
+#ifndef KARATSUBA_THRESHOLD
+#define KARATSUBA_THRESHOLD 16
+#endif
+
+/* The code can't handle KARATSUBA_THRESHOLD smaller than 2.  */
+#if KARATSUBA_THRESHOLD < 2
+#undef KARATSUBA_THRESHOLD
+#define KARATSUBA_THRESHOLD 2
+#endif
+
+typedef mpi_limb_t *mpi_ptr_t;	/* pointer to a limb */
+typedef int mpi_size_t;		/* (must be a signed type) */
+
+#define RESIZE_IF_NEEDED(a, b)			\
+	do {					\
+		if ((a)->alloced < (b))		\
+			mpi_resize((a), (b));	\
+	} while (0)
+
+/* Copy N limbs from S to D.  */
+#define MPN_COPY(d, s, n) \
+	do {					\
+		mpi_size_t _i;			\
+		for (_i = 0; _i < (n); _i++)	\
+			(d)[_i] = (s)[_i];	\
+	} while (0)
+
+#define MPN_COPY_INCR(d, s, n)		\
+	do {					\
+		mpi_size_t _i;			\
+		for (_i = 0; _i < (n); _i++)	\
+			(d)[_i] = (s)[_i];	\
+	} while (0)
+
+
+#define MPN_COPY_DECR(d, s, n) \
+	do {					\
+		mpi_size_t _i;			\
+		for (_i = (n)-1; _i >= 0; _i--) \
+			(d)[_i] = (s)[_i];	\
+	} while (0)
+
+/* Zero N limbs at D */
+#define MPN_ZERO(d, n) \
+	do {					\
+		int  _i;			\
+		for (_i = 0; _i < (n); _i++)	\
+			(d)[_i] = 0;		\
+	} while (0)
+
+#define MPN_NORMALIZE(d, n)  \
+	do {					\
+		while ((n) > 0) {		\
+			if ((d)[(n)-1])		\
+				break;		\
+			(n)--;			\
+		}				\
+	} while (0)
+
+#define MPN_MUL_N_RECURSE(prodp, up, vp, size, tspace) \
+	do {							\
+		if ((size) < KARATSUBA_THRESHOLD)		\
+			mul_n_basecase(prodp, up, vp, size);	\
+		else						\
+			mul_n(prodp, up, vp, size, tspace);	\
+	} while (0);
+
+/* Divide the two-limb number in (NH,,NL) by D, with DI being the largest
+ * limb not larger than (2**(2*BITS_PER_MP_LIMB))/D - (2**BITS_PER_MP_LIMB).
+ * If this would yield overflow, DI should be the largest possible number
+ * (i.e., only ones).  For correct operation, the most significant bit of D
+ * has to be set.  Put the quotient in Q and the remainder in R.
+ */
+#define UDIV_QRNND_PREINV(q, r, nh, nl, d, di)				\
+	do {								\
+		mpi_limb_t _ql __maybe_unused;				\
+		mpi_limb_t _q, _r;					\
+		mpi_limb_t _xh, _xl;					\
+		umul_ppmm(_q, _ql, (nh), (di));				\
+		_q += (nh);	/* DI is 2**BITS_PER_MPI_LIMB too small */ \
+		umul_ppmm(_xh, _xl, _q, (d));				\
+		sub_ddmmss(_xh, _r, (nh), (nl), _xh, _xl);		\
+		if (_xh) {						\
+			sub_ddmmss(_xh, _r, _xh, _r, 0, (d));		\
+			_q++;						\
+			if (_xh) {					\
+				sub_ddmmss(_xh, _r, _xh, _r, 0, (d));	\
+				_q++;					\
+			}						\
+		}							\
+		if (_r >= (d)) {					\
+			_r -= (d);					\
+			_q++;						\
+		}							\
+		(r) = _r;						\
+		(q) = _q;						\
+	} while (0)
+
+
+/*-- mpiutil.c --*/
+mpi_ptr_t mpi_alloc_limb_space(unsigned nlimbs);
+void mpi_free_limb_space(mpi_ptr_t a);
+void mpi_assign_limb_space(MPI a, mpi_ptr_t ap, unsigned nlimbs);
+
+static inline mpi_limb_t mpihelp_add_1(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
+			 mpi_size_t s1_size, mpi_limb_t s2_limb);
+mpi_limb_t mpihelp_add_n(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
+			 mpi_ptr_t s2_ptr, mpi_size_t size);
+static inline mpi_limb_t mpihelp_add(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr, mpi_size_t s1_size,
+		       mpi_ptr_t s2_ptr, mpi_size_t s2_size);
+
+static inline mpi_limb_t mpihelp_sub_1(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
+			 mpi_size_t s1_size, mpi_limb_t s2_limb);
+mpi_limb_t mpihelp_sub_n(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
+			 mpi_ptr_t s2_ptr, mpi_size_t size);
+static inline mpi_limb_t mpihelp_sub(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr, mpi_size_t s1_size,
+		       mpi_ptr_t s2_ptr, mpi_size_t s2_size);
+
+/*-- mpih-cmp.c --*/
+int mpihelp_cmp(mpi_ptr_t op1_ptr, mpi_ptr_t op2_ptr, mpi_size_t size);
+
+/*-- mpih-mul.c --*/
+
+struct karatsuba_ctx {
+	struct karatsuba_ctx *next;
+	mpi_ptr_t tspace;
+	mpi_size_t tspace_size;
+	mpi_ptr_t tp;
+	mpi_size_t tp_size;
+};
+
+void mpihelp_release_karatsuba_ctx(struct karatsuba_ctx *ctx);
+
+mpi_limb_t mpihelp_addmul_1(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
+			    mpi_size_t s1_size, mpi_limb_t s2_limb);
+mpi_limb_t mpihelp_submul_1(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
+			    mpi_size_t s1_size, mpi_limb_t s2_limb);
+int mpihelp_mul(mpi_ptr_t prodp, mpi_ptr_t up, mpi_size_t usize,
+		mpi_ptr_t vp, mpi_size_t vsize, mpi_limb_t *_result);
+void mpih_sqr_n_basecase(mpi_ptr_t prodp, mpi_ptr_t up, mpi_size_t size);
+void mpih_sqr_n(mpi_ptr_t prodp, mpi_ptr_t up, mpi_size_t size,
+		mpi_ptr_t tspace);
+void mpihelp_mul_n(mpi_ptr_t prodp,
+		mpi_ptr_t up, mpi_ptr_t vp, mpi_size_t size);
+
+int mpihelp_mul_karatsuba_case(mpi_ptr_t prodp,
+			       mpi_ptr_t up, mpi_size_t usize,
+			       mpi_ptr_t vp, mpi_size_t vsize,
+			       struct karatsuba_ctx *ctx);
+
+/*-- generic_mpih-mul1.c --*/
+mpi_limb_t mpihelp_mul_1(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
+			 mpi_size_t s1_size, mpi_limb_t s2_limb);
+
+/*-- mpih-div.c --*/
+mpi_limb_t mpihelp_mod_1(mpi_ptr_t dividend_ptr, mpi_size_t dividend_size,
+			 mpi_limb_t divisor_limb);
+mpi_limb_t mpihelp_divrem(mpi_ptr_t qp, mpi_size_t qextra_limbs,
+			  mpi_ptr_t np, mpi_size_t nsize,
+			  mpi_ptr_t dp, mpi_size_t dsize);
+mpi_limb_t mpihelp_divmod_1(mpi_ptr_t quot_ptr,
+			    mpi_ptr_t dividend_ptr, mpi_size_t dividend_size,
+			    mpi_limb_t divisor_limb);
+
+/*-- generic_mpih-[lr]shift.c --*/
+mpi_limb_t mpihelp_lshift(mpi_ptr_t wp, mpi_ptr_t up, mpi_size_t usize,
+			  unsigned cnt);
+mpi_limb_t mpihelp_rshift(mpi_ptr_t wp, mpi_ptr_t up, mpi_size_t usize,
+			  unsigned cnt);
+
+/* Define stuff for longlong.h.  */
+#define W_TYPE_SIZE BITS_PER_MPI_LIMB
+typedef mpi_limb_t UWtype;
+typedef unsigned int UHWtype;
+#if defined(__GNUC__)
+typedef unsigned int UQItype __attribute__ ((mode(QI)));
+typedef int SItype __attribute__ ((mode(SI)));
+typedef unsigned int USItype __attribute__ ((mode(SI)));
+typedef int DItype __attribute__ ((mode(DI)));
+typedef unsigned int UDItype __attribute__ ((mode(DI)));
+#else
+typedef unsigned char UQItype;
+typedef long SItype;
+typedef unsigned long USItype;
+#endif
+
+#ifdef __GNUC__
+#include "mpi-inline.h"
+#endif
+
+#endif /*G10_MPI_INTERNAL_H */
diff --git a/lib/mpi/mpi-inv.c b/lib/mpi/mpi-inv.c
new file mode 100644
index 000000000..61e37d18f
--- /dev/null
+++ b/lib/mpi/mpi-inv.c
@@ -0,0 +1,143 @@
+/* mpi-inv.c  -  MPI functions
+ *	Copyright (C) 1998, 2001, 2002, 2003 Free Software Foundation, Inc.
+ *
+ * This file is part of Libgcrypt.
+ *
+ * Libgcrypt 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 2.1 of
+ * the License, or (at your option) any later version.
+ *
+ * Libgcrypt 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.
+ *
+ * You should have received a copy of the GNU Lesser General Public
+ * License along with this program; if not, see <http://www.gnu.org/licenses/>.
+ */
+
+#include "mpi-internal.h"
+
+/****************
+ * Calculate the multiplicative inverse X of A mod N
+ * That is: Find the solution x for
+ *		1 = (a*x) mod n
+ */
+int mpi_invm(MPI x, MPI a, MPI n)
+{
+	/* Extended Euclid's algorithm (See TAOCP Vol II, 4.5.2, Alg X)
+	 * modified according to Michael Penk's solution for Exercise 35
+	 * with further enhancement
+	 */
+	MPI u, v, u1, u2 = NULL, u3, v1, v2 = NULL, v3, t1, t2 = NULL, t3;
+	unsigned int k;
+	int sign;
+	int odd;
+
+	if (!mpi_cmp_ui(a, 0))
+		return 0; /* Inverse does not exists.  */
+	if (!mpi_cmp_ui(n, 1))
+		return 0; /* Inverse does not exists.  */
+
+	u = mpi_copy(a);
+	v = mpi_copy(n);
+
+	for (k = 0; !mpi_test_bit(u, 0) && !mpi_test_bit(v, 0); k++) {
+		mpi_rshift(u, u, 1);
+		mpi_rshift(v, v, 1);
+	}
+	odd = mpi_test_bit(v, 0);
+
+	u1 = mpi_alloc_set_ui(1);
+	if (!odd)
+		u2 = mpi_alloc_set_ui(0);
+	u3 = mpi_copy(u);
+	v1 = mpi_copy(v);
+	if (!odd) {
+		v2 = mpi_alloc(mpi_get_nlimbs(u));
+		mpi_sub(v2, u1, u); /* U is used as const 1 */
+	}
+	v3 = mpi_copy(v);
+	if (mpi_test_bit(u, 0)) { /* u is odd */
+		t1 = mpi_alloc_set_ui(0);
+		if (!odd) {
+			t2 = mpi_alloc_set_ui(1);
+			t2->sign = 1;
+		}
+		t3 = mpi_copy(v);
+		t3->sign = !t3->sign;
+		goto Y4;
+	} else {
+		t1 = mpi_alloc_set_ui(1);
+		if (!odd)
+			t2 = mpi_alloc_set_ui(0);
+		t3 = mpi_copy(u);
+	}
+
+	do {
+		do {
+			if (!odd) {
+				if (mpi_test_bit(t1, 0) || mpi_test_bit(t2, 0)) {
+					/* one is odd */
+					mpi_add(t1, t1, v);
+					mpi_sub(t2, t2, u);
+				}
+				mpi_rshift(t1, t1, 1);
+				mpi_rshift(t2, t2, 1);
+				mpi_rshift(t3, t3, 1);
+			} else {
+				if (mpi_test_bit(t1, 0))
+					mpi_add(t1, t1, v);
+				mpi_rshift(t1, t1, 1);
+				mpi_rshift(t3, t3, 1);
+			}
+Y4:
+			;
+		} while (!mpi_test_bit(t3, 0)); /* while t3 is even */
+
+		if (!t3->sign) {
+			mpi_set(u1, t1);
+			if (!odd)
+				mpi_set(u2, t2);
+			mpi_set(u3, t3);
+		} else {
+			mpi_sub(v1, v, t1);
+			sign = u->sign; u->sign = !u->sign;
+			if (!odd)
+				mpi_sub(v2, u, t2);
+			u->sign = sign;
+			sign = t3->sign; t3->sign = !t3->sign;
+			mpi_set(v3, t3);
+			t3->sign = sign;
+		}
+		mpi_sub(t1, u1, v1);
+		if (!odd)
+			mpi_sub(t2, u2, v2);
+		mpi_sub(t3, u3, v3);
+		if (t1->sign) {
+			mpi_add(t1, t1, v);
+			if (!odd)
+				mpi_sub(t2, t2, u);
+		}
+	} while (mpi_cmp_ui(t3, 0)); /* while t3 != 0 */
+	/* mpi_lshift( u3, k ); */
+	mpi_set(x, u1);
+
+	mpi_free(u1);
+	mpi_free(v1);
+	mpi_free(t1);
+	if (!odd) {
+		mpi_free(u2);
+		mpi_free(v2);
+		mpi_free(t2);
+	}
+	mpi_free(u3);
+	mpi_free(v3);
+	mpi_free(t3);
+
+	mpi_free(u);
+	mpi_free(v);
+	return 1;
+}
+EXPORT_SYMBOL_GPL(mpi_invm);
diff --git a/lib/mpi/mpi-mod.c b/lib/mpi/mpi-mod.c
new file mode 100644
index 000000000..54fcc0156
--- /dev/null
+++ b/lib/mpi/mpi-mod.c
@@ -0,0 +1,157 @@
+/* mpi-mod.c -  Modular reduction
+ * Copyright (C) 1998, 1999, 2001, 2002, 2003,
+ *               2007  Free Software Foundation, Inc.
+ *
+ * This file is part of Libgcrypt.
+ */
+
+
+#include "mpi-internal.h"
+#include "longlong.h"
+
+/* Context used with Barrett reduction.  */
+struct barrett_ctx_s {
+	MPI m;   /* The modulus - may not be modified. */
+	int m_copied;   /* If true, M needs to be released.  */
+	int k;
+	MPI y;
+	MPI r1;  /* Helper MPI. */
+	MPI r2;  /* Helper MPI. */
+	MPI r3;  /* Helper MPI allocated on demand. */
+};
+
+
+
+void mpi_mod(MPI rem, MPI dividend, MPI divisor)
+{
+	mpi_fdiv_r(rem, dividend, divisor);
+}
+
+/* This function returns a new context for Barrett based operations on
+ * the modulus M.  This context needs to be released using
+ * _gcry_mpi_barrett_free.  If COPY is true M will be transferred to
+ * the context and the user may change M.  If COPY is false, M may not
+ * be changed until gcry_mpi_barrett_free has been called.
+ */
+mpi_barrett_t mpi_barrett_init(MPI m, int copy)
+{
+	mpi_barrett_t ctx;
+	MPI tmp;
+
+	mpi_normalize(m);
+	ctx = kcalloc(1, sizeof(*ctx), GFP_KERNEL);
+	if (!ctx)
+		return NULL;
+
+	if (copy) {
+		ctx->m = mpi_copy(m);
+		ctx->m_copied = 1;
+	} else
+		ctx->m = m;
+
+	ctx->k = mpi_get_nlimbs(m);
+	tmp = mpi_alloc(ctx->k + 1);
+
+	/* Barrett precalculation: y = floor(b^(2k) / m). */
+	mpi_set_ui(tmp, 1);
+	mpi_lshift_limbs(tmp, 2 * ctx->k);
+	mpi_fdiv_q(tmp, tmp, m);
+
+	ctx->y  = tmp;
+	ctx->r1 = mpi_alloc(2 * ctx->k + 1);
+	ctx->r2 = mpi_alloc(2 * ctx->k + 1);
+
+	return ctx;
+}
+
+void mpi_barrett_free(mpi_barrett_t ctx)
+{
+	if (ctx) {
+		mpi_free(ctx->y);
+		mpi_free(ctx->r1);
+		mpi_free(ctx->r2);
+		if (ctx->r3)
+			mpi_free(ctx->r3);
+		if (ctx->m_copied)
+			mpi_free(ctx->m);
+		kfree(ctx);
+	}
+}
+
+
+/* R = X mod M
+ *
+ * Using Barrett reduction.  Before using this function
+ * _gcry_mpi_barrett_init must have been called to do the
+ * precalculations.  CTX is the context created by this precalculation
+ * and also conveys M.  If the Barret reduction could no be done a
+ * straightforward reduction method is used.
+ *
+ * We assume that these conditions are met:
+ * Input:  x =(x_2k-1 ...x_0)_b
+ *     m =(m_k-1 ....m_0)_b	  with m_k-1 != 0
+ * Output: r = x mod m
+ */
+void mpi_mod_barrett(MPI r, MPI x, mpi_barrett_t ctx)
+{
+	MPI m = ctx->m;
+	int k = ctx->k;
+	MPI y = ctx->y;
+	MPI r1 = ctx->r1;
+	MPI r2 = ctx->r2;
+	int sign;
+
+	mpi_normalize(x);
+	if (mpi_get_nlimbs(x) > 2*k) {
+		mpi_mod(r, x, m);
+		return;
+	}
+
+	sign = x->sign;
+	x->sign = 0;
+
+	/* 1. q1 = floor( x / b^k-1)
+	 *    q2 = q1 * y
+	 *    q3 = floor( q2 / b^k+1 )
+	 * Actually, we don't need qx, we can work direct on r2
+	 */
+	mpi_set(r2, x);
+	mpi_rshift_limbs(r2, k-1);
+	mpi_mul(r2, r2, y);
+	mpi_rshift_limbs(r2, k+1);
+
+	/* 2. r1 = x mod b^k+1
+	 *	r2 = q3 * m mod b^k+1
+	 *	r  = r1 - r2
+	 * 3. if r < 0 then  r = r + b^k+1
+	 */
+	mpi_set(r1, x);
+	if (r1->nlimbs > k+1) /* Quick modulo operation.  */
+		r1->nlimbs = k+1;
+	mpi_mul(r2, r2, m);
+	if (r2->nlimbs > k+1) /* Quick modulo operation. */
+		r2->nlimbs = k+1;
+	mpi_sub(r, r1, r2);
+
+	if (mpi_has_sign(r)) {
+		if (!ctx->r3) {
+			ctx->r3 = mpi_alloc(k + 2);
+			mpi_set_ui(ctx->r3, 1);
+			mpi_lshift_limbs(ctx->r3, k + 1);
+		}
+		mpi_add(r, r, ctx->r3);
+	}
+
+	/* 4. while r >= m do r = r - m */
+	while (mpi_cmp(r, m) >= 0)
+		mpi_sub(r, r, m);
+
+	x->sign = sign;
+}
+
+
+void mpi_mul_barrett(MPI w, MPI u, MPI v, mpi_barrett_t ctx)
+{
+	mpi_mul(w, u, v);
+	mpi_mod_barrett(w, w, ctx);
+}
diff --git a/lib/mpi/mpi-mul.c b/lib/mpi/mpi-mul.c
new file mode 100644
index 000000000..7f4eda856
--- /dev/null
+++ b/lib/mpi/mpi-mul.c
@@ -0,0 +1,92 @@
+/* mpi-mul.c  -  MPI functions
+ * Copyright (C) 1994, 1996, 1998, 2001, 2002,
+ *               2003 Free Software Foundation, Inc.
+ *
+ * This file is part of Libgcrypt.
+ *
+ * Note: This code is heavily based on the GNU MP Library.
+ *	 Actually it's the same code with only minor changes in the
+ *	 way the data is stored; this is to support the abstraction
+ *	 of an optional secure memory allocation which may be used
+ *	 to avoid revealing of sensitive data due to paging etc.
+ */
+
+#include "mpi-internal.h"
+
+void mpi_mul(MPI w, MPI u, MPI v)
+{
+	mpi_size_t usize, vsize, wsize;
+	mpi_ptr_t up, vp, wp;
+	mpi_limb_t cy;
+	int usign, vsign, sign_product;
+	int assign_wp = 0;
+	mpi_ptr_t tmp_limb = NULL;
+
+	if (u->nlimbs < v->nlimbs) {
+		/* Swap U and V. */
+		usize = v->nlimbs;
+		usign = v->sign;
+		up    = v->d;
+		vsize = u->nlimbs;
+		vsign = u->sign;
+		vp    = u->d;
+	} else {
+		usize = u->nlimbs;
+		usign = u->sign;
+		up    = u->d;
+		vsize = v->nlimbs;
+		vsign = v->sign;
+		vp    = v->d;
+	}
+	sign_product = usign ^ vsign;
+	wp = w->d;
+
+	/* Ensure W has space enough to store the result.  */
+	wsize = usize + vsize;
+	if (w->alloced < wsize) {
+		if (wp == up || wp == vp) {
+			wp = mpi_alloc_limb_space(wsize);
+			assign_wp = 1;
+		} else {
+			mpi_resize(w, wsize);
+			wp = w->d;
+		}
+	} else { /* Make U and V not overlap with W.	*/
+		if (wp == up) {
+			/* W and U are identical.  Allocate temporary space for U. */
+			up = tmp_limb = mpi_alloc_limb_space(usize);
+			/* Is V identical too?  Keep it identical with U.  */
+			if (wp == vp)
+				vp = up;
+			/* Copy to the temporary space.  */
+			MPN_COPY(up, wp, usize);
+		} else if (wp == vp) {
+			/* W and V are identical.  Allocate temporary space for V. */
+			vp = tmp_limb = mpi_alloc_limb_space(vsize);
+			/* Copy to the temporary space.  */
+			MPN_COPY(vp, wp, vsize);
+		}
+	}
+
+	if (!vsize)
+		wsize = 0;
+	else {
+		mpihelp_mul(wp, up, usize, vp, vsize, &cy);
+		wsize -= cy ? 0:1;
+	}
+
+	if (assign_wp)
+		mpi_assign_limb_space(w, wp, wsize);
+	w->nlimbs = wsize;
+	w->sign = sign_product;
+	if (tmp_limb)
+		mpi_free_limb_space(tmp_limb);
+}
+EXPORT_SYMBOL_GPL(mpi_mul);
+
+void mpi_mulm(MPI w, MPI u, MPI v, MPI m)
+{
+	mpi_mul(w, u, v);
+	mpi_tdiv_r(w, w, m);
+}
+EXPORT_SYMBOL_GPL(mpi_mulm);
diff --git a/lib/mpi/mpi-pow.c b/lib/mpi/mpi-pow.c
new file mode 100644
index 000000000..2fd7a46d5
--- /dev/null
+++ b/lib/mpi/mpi-pow.c
@@ -0,0 +1,314 @@
+// SPDX-License-Identifier: GPL-2.0-or-later
+/* mpi-pow.c  -  MPI functions
+ *	Copyright (C) 1994, 1996, 1998, 2000 Free Software Foundation, Inc.
+ *
+ * This file is part of GnuPG.
+ *
+ * Note: This code is heavily based on the GNU MP Library.
+ *	 Actually it's the same code with only minor changes in the
+ *	 way the data is stored; this is to support the abstraction
+ *	 of an optional secure memory allocation which may be used
+ *	 to avoid revealing of sensitive data due to paging etc.
+ *	 The GNU MP Library itself is published under the LGPL;
+ *	 however I decided to publish this code under the plain GPL.
+ */
+
+#include <linux/sched.h>
+#include <linux/string.h>
+#include "mpi-internal.h"
+#include "longlong.h"
+
+/****************
+ * RES = BASE ^ EXP mod MOD
+ */
+int mpi_powm(MPI res, MPI base, MPI exp, MPI mod)
+{
+	mpi_ptr_t mp_marker = NULL, bp_marker = NULL, ep_marker = NULL;
+	struct karatsuba_ctx karactx = {};
+	mpi_ptr_t xp_marker = NULL;
+	mpi_ptr_t tspace = NULL;
+	mpi_ptr_t rp, ep, mp, bp;
+	mpi_size_t esize, msize, bsize, rsize;
+	int msign, bsign, rsign;
+	mpi_size_t size;
+	int mod_shift_cnt;
+	int negative_result;
+	int assign_rp = 0;
+	mpi_size_t tsize = 0;	/* to avoid compiler warning */
+	/* fixme: we should check that the warning is void */
+	int rc = -ENOMEM;
+
+	esize = exp->nlimbs;
+	msize = mod->nlimbs;
+	size = 2 * msize;
+	msign = mod->sign;
+
+	rp = res->d;
+	ep = exp->d;
+
+	if (!msize)
+		return -EINVAL;
+
+	if (!esize) {
+		/* Exponent is zero, result is 1 mod MOD, i.e., 1 or 0
+		 * depending on if MOD equals 1.  */
+		res->nlimbs = (msize == 1 && mod->d[0] == 1) ? 0 : 1;
+		if (res->nlimbs) {
+			if (mpi_resize(res, 1) < 0)
+				goto enomem;
+			rp = res->d;
+			rp[0] = 1;
+		}
+		res->sign = 0;
+		goto leave;
+	}
+
+	/* Normalize MOD (i.e. make its most significant bit set) as required by
+	 * mpn_divrem.  This will make the intermediate values in the calculation
+	 * slightly larger, but the correct result is obtained after a final
+	 * reduction using the original MOD value.  */
+	mp = mp_marker = mpi_alloc_limb_space(msize);
+	if (!mp)
+		goto enomem;
+	mod_shift_cnt = count_leading_zeros(mod->d[msize - 1]);
+	if (mod_shift_cnt)
+		mpihelp_lshift(mp, mod->d, msize, mod_shift_cnt);
+	else
+		MPN_COPY(mp, mod->d, msize);
+
+	bsize = base->nlimbs;
+	bsign = base->sign;
+	if (bsize > msize) {	/* The base is larger than the module. Reduce it. */
+		/* Allocate (BSIZE + 1) with space for remainder and quotient.
+		 * (The quotient is (bsize - msize + 1) limbs.)  */
+		bp = bp_marker = mpi_alloc_limb_space(bsize + 1);
+		if (!bp)
+			goto enomem;
+		MPN_COPY(bp, base->d, bsize);
+		/* We don't care about the quotient, store it above the remainder,
+		 * at BP + MSIZE.  */
+		mpihelp_divrem(bp + msize, 0, bp, bsize, mp, msize);
+		bsize = msize;
+		/* Canonicalize the base, since we are going to multiply with it
+		 * quite a few times.  */
+		MPN_NORMALIZE(bp, bsize);
+	} else
+		bp = base->d;
+
+	if (!bsize) {
+		res->nlimbs = 0;
+		res->sign = 0;
+		goto leave;
+	}
+
+	if (res->alloced < size) {
+		/* We have to allocate more space for RES.  If any of the input
+		 * parameters are identical to RES, defer deallocation of the old
+		 * space.  */
+		if (rp == ep || rp == mp || rp == bp) {
+			rp = mpi_alloc_limb_space(size);
+			if (!rp)
+				goto enomem;
+			assign_rp = 1;
+		} else {
+			if (mpi_resize(res, size) < 0)
+				goto enomem;
+			rp = res->d;
+		}
+	} else {		/* Make BASE, EXP and MOD not overlap with RES.  */
+		if (rp == bp) {
+			/* RES and BASE are identical.  Allocate temp. space for BASE.  */
+			BUG_ON(bp_marker);
+			bp = bp_marker = mpi_alloc_limb_space(bsize);
+			if (!bp)
+				goto enomem;
+			MPN_COPY(bp, rp, bsize);
+		}
+		if (rp == ep) {
+			/* RES and EXP are identical.  Allocate temp. space for EXP.  */
+			ep = ep_marker = mpi_alloc_limb_space(esize);
+			if (!ep)
+				goto enomem;
+			MPN_COPY(ep, rp, esize);
+		}
+		if (rp == mp) {
+			/* RES and MOD are identical.  Allocate temporary space for MOD. */
+			BUG_ON(mp_marker);
+			mp = mp_marker = mpi_alloc_limb_space(msize);
+			if (!mp)
+				goto enomem;
+			MPN_COPY(mp, rp, msize);
+		}
+	}
+
+	MPN_COPY(rp, bp, bsize);
+	rsize = bsize;
+	rsign = bsign;
+
+	{
+		mpi_size_t i;
+		mpi_ptr_t xp;
+		int c;
+		mpi_limb_t e;
+		mpi_limb_t carry_limb;
+
+		xp = xp_marker = mpi_alloc_limb_space(2 * (msize + 1));
+		if (!xp)
+			goto enomem;
+
+		negative_result = (ep[0] & 1) && base->sign;
+
+		i = esize - 1;
+		e = ep[i];
+		c = count_leading_zeros(e);
+		e = (e << c) << 1;	/* shift the exp bits to the left, lose msb */
+		c = BITS_PER_MPI_LIMB - 1 - c;
+
+		/* Main loop.
+		 *
+		 * Make the result be pointed to alternately by XP and RP.  This
+		 * helps us avoid block copying, which would otherwise be necessary
+		 * with the overlap restrictions of mpihelp_divmod. With 50% probability
+		 * the result after this loop will be in the area originally pointed
+		 * by RP (==RES->d), and with 50% probability in the area originally
+		 * pointed to by XP.
+		 */
+
+		for (;;) {
+			while (c) {
+				mpi_ptr_t tp;
+				mpi_size_t xsize;
+
+				/*if (mpihelp_mul_n(xp, rp, rp, rsize) < 0) goto enomem */
+				if (rsize < KARATSUBA_THRESHOLD)
+					mpih_sqr_n_basecase(xp, rp, rsize);
+				else {
+					if (!tspace) {
+						tsize = 2 * rsize;
+						tspace =
+						    mpi_alloc_limb_space(tsize);
+						if (!tspace)
+							goto enomem;
+					} else if (tsize < (2 * rsize)) {
+						mpi_free_limb_space(tspace);
+						tsize = 2 * rsize;
+						tspace =
+						    mpi_alloc_limb_space(tsize);
+						if (!tspace)
+							goto enomem;
+					}
+					mpih_sqr_n(xp, rp, rsize, tspace);
+				}
+
+				xsize = 2 * rsize;
+				if (xsize > msize) {
+					mpihelp_divrem(xp + msize, 0, xp, xsize,
+						       mp, msize);
+					xsize = msize;
+				}
+
+				tp = rp;
+				rp = xp;
+				xp = tp;
+				rsize = xsize;
+
+				if ((mpi_limb_signed_t) e < 0) {
+					/*mpihelp_mul( xp, rp, rsize, bp, bsize ); */
+					if (bsize < KARATSUBA_THRESHOLD) {
+						mpi_limb_t tmp;
+						if (mpihelp_mul
+						    (xp, rp, rsize, bp, bsize,
+						     &tmp) < 0)
+							goto enomem;
+					} else {
+						if (mpihelp_mul_karatsuba_case
+						    (xp, rp, rsize, bp, bsize,
+						     &karactx) < 0)
+							goto enomem;
+					}
+
+					xsize = rsize + bsize;
+					if (xsize > msize) {
+						mpihelp_divrem(xp + msize, 0,
+							       xp, xsize, mp,
+							       msize);
+						xsize = msize;
+					}
+
+					tp = rp;
+					rp = xp;
+					xp = tp;
+					rsize = xsize;
+				}
+				e <<= 1;
+				c--;
+				cond_resched();
+			}
+
+			i--;
+			if (i < 0)
+				break;
+			e = ep[i];
+			c = BITS_PER_MPI_LIMB;
+		}
+
+		/* We shifted MOD, the modulo reduction argument, left MOD_SHIFT_CNT
+		 * steps.  Adjust the result by reducing it with the original MOD.
+		 *
+		 * Also make sure the result is put in RES->d (where it already
+		 * might be, see above).
+		 */
+		if (mod_shift_cnt) {
+			carry_limb =
+			    mpihelp_lshift(res->d, rp, rsize, mod_shift_cnt);
+			rp = res->d;
+			if (carry_limb) {
+				rp[rsize] = carry_limb;
+				rsize++;
+			}
+		} else {
+			MPN_COPY(res->d, rp, rsize);
+			rp = res->d;
+		}
+
+		if (rsize >= msize) {
+			mpihelp_divrem(rp + msize, 0, rp, rsize, mp, msize);
+			rsize = msize;
+		}
+
+		/* Remove any leading zero words from the result.  */
+		if (mod_shift_cnt)
+			mpihelp_rshift(rp, rp, rsize, mod_shift_cnt);
+		MPN_NORMALIZE(rp, rsize);
+	}
+
+	if (negative_result && rsize) {
+		if (mod_shift_cnt)
+			mpihelp_rshift(mp, mp, msize, mod_shift_cnt);
+		mpihelp_sub(rp, mp, msize, rp, rsize);
+		rsize = msize;
+		rsign = msign;
+		MPN_NORMALIZE(rp, rsize);
+	}
+	res->nlimbs = rsize;
+	res->sign = rsign;
+
+leave:
+	rc = 0;
+enomem:
+	mpihelp_release_karatsuba_ctx(&karactx);
+	if (assign_rp)
+		mpi_assign_limb_space(res, rp, size);
+	if (mp_marker)
+		mpi_free_limb_space(mp_marker);
+	if (bp_marker)
+		mpi_free_limb_space(bp_marker);
+	if (ep_marker)
+		mpi_free_limb_space(ep_marker);
+	if (xp_marker)
+		mpi_free_limb_space(xp_marker);
+	if (tspace)
+		mpi_free_limb_space(tspace);
+	return rc;
+}
+EXPORT_SYMBOL_GPL(mpi_powm);
diff --git a/lib/mpi/mpi-sub-ui.c b/lib/mpi/mpi-sub-ui.c
new file mode 100644
index 000000000..b41b082b5
--- /dev/null
+++ b/lib/mpi/mpi-sub-ui.c
@@ -0,0 +1,78 @@
+// SPDX-License-Identifier: GPL-2.0-or-later
+/* mpi-sub-ui.c - Subtract an unsigned integer from an MPI.
+ *
+ * Copyright 1991, 1993, 1994, 1996, 1999-2002, 2004, 2012, 2013, 2015
+ * Free Software Foundation, Inc.
+ *
+ * This file was based on the GNU MP Library source file:
+ * https://gmplib.org/repo/gmp-6.2/file/510b83519d1c/mpz/aors_ui.h
+ *
+ * The GNU MP Library is free software; you can redistribute it and/or modify
+ * it under the terms of either:
+ *
+ *   * the GNU Lesser General Public License as published by the Free
+ *     Software Foundation; either version 3 of the License, or (at your
+ *     option) any later version.
+ *
+ * or
+ *
+ *   * the GNU General Public License as published by the Free Software
+ *     Foundation; either version 2 of the License, or (at your option) any
+ *     later version.
+ *
+ * or both in parallel, as here.
+ *
+ * The GNU MP 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 General Public License
+ * for more details.
+ *
+ * You should have received copies of the GNU General Public License and the
+ * GNU Lesser General Public License along with the GNU MP Library.  If not,
+ * see https://www.gnu.org/licenses/.
+ */
+
+#include "mpi-internal.h"
+
+int mpi_sub_ui(MPI w, MPI u, unsigned long vval)
+{
+	if (u->nlimbs == 0) {
+		if (mpi_resize(w, 1) < 0)
+			return -ENOMEM;
+		w->d[0] = vval;
+		w->nlimbs = (vval != 0);
+		w->sign = (vval != 0);
+		return 0;
+	}
+
+	/* If not space for W (and possible carry), increase space. */
+	if (mpi_resize(w, u->nlimbs + 1))
+		return -ENOMEM;
+
+	if (u->sign) {
+		mpi_limb_t cy;
+
+		cy = mpihelp_add_1(w->d, u->d, u->nlimbs, (mpi_limb_t) vval);
+		w->d[u->nlimbs] = cy;
+		w->nlimbs = u->nlimbs + cy;
+		w->sign = 1;
+	} else {
+		/* The signs are different.  Need exact comparison to determine
+		 * which operand to subtract from which.
+		 */
+		if (u->nlimbs == 1 && u->d[0] < vval) {
+			w->d[0] = vval - u->d[0];
+			w->nlimbs = 1;
+			w->sign = 1;
+		} else {
+			mpihelp_sub_1(w->d, u->d, u->nlimbs, (mpi_limb_t) vval);
+			/* Size can decrease with at most one limb. */
+			w->nlimbs = (u->nlimbs - (w->d[u->nlimbs - 1] == 0));
+			w->sign = 0;
+		}
+	}
+
+	mpi_normalize(w);
+	return 0;
+}
+EXPORT_SYMBOL_GPL(mpi_sub_ui);
diff --git a/lib/mpi/mpicoder.c b/lib/mpi/mpicoder.c
new file mode 100644
index 000000000..3cb6bd148
--- /dev/null
+++ b/lib/mpi/mpicoder.c
@@ -0,0 +1,752 @@
+/* mpicoder.c  -  Coder for the external representation of MPIs
+ * Copyright (C) 1998, 1999 Free Software Foundation, Inc.
+ *
+ * This file is part of GnuPG.
+ *
+ * GnuPG is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 2 of the License, or
+ * (at your option) any later version.
+ *
+ * GnuPG 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 General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA
+ */
+
+#include <linux/bitops.h>
+#include <linux/count_zeros.h>
+#include <linux/byteorder/generic.h>
+#include <linux/scatterlist.h>
+#include <linux/string.h>
+#include "mpi-internal.h"
+
+#define MAX_EXTERN_SCAN_BYTES (16*1024*1024)
+#define MAX_EXTERN_MPI_BITS 16384
+
+/**
+ * mpi_read_raw_data - Read a raw byte stream as a positive integer
+ * @xbuffer: The data to read
+ * @nbytes: The amount of data to read
+ */
+MPI mpi_read_raw_data(const void *xbuffer, size_t nbytes)
+{
+	const uint8_t *buffer = xbuffer;
+	int i, j;
+	unsigned nbits, nlimbs;
+	mpi_limb_t a;
+	MPI val = NULL;
+
+	while (nbytes > 0 && buffer[0] == 0) {
+		buffer++;
+		nbytes--;
+	}
+
+	nbits = nbytes * 8;
+	if (nbits > MAX_EXTERN_MPI_BITS) {
+		pr_info("MPI: mpi too large (%u bits)\n", nbits);
+		return NULL;
+	}
+	if (nbytes > 0)
+		nbits -= count_leading_zeros(buffer[0]) - (BITS_PER_LONG - 8);
+
+	nlimbs = DIV_ROUND_UP(nbytes, BYTES_PER_MPI_LIMB);
+	val = mpi_alloc(nlimbs);
+	if (!val)
+		return NULL;
+	val->nbits = nbits;
+	val->sign = 0;
+	val->nlimbs = nlimbs;
+
+	if (nbytes > 0) {
+		i = BYTES_PER_MPI_LIMB - nbytes % BYTES_PER_MPI_LIMB;
+		i %= BYTES_PER_MPI_LIMB;
+		for (j = nlimbs; j > 0; j--) {
+			a = 0;
+			for (; i < BYTES_PER_MPI_LIMB; i++) {
+				a <<= 8;
+				a |= *buffer++;
+			}
+			i = 0;
+			val->d[j - 1] = a;
+		}
+	}
+	return val;
+}
+EXPORT_SYMBOL_GPL(mpi_read_raw_data);
+
+MPI mpi_read_from_buffer(const void *xbuffer, unsigned *ret_nread)
+{
+	const uint8_t *buffer = xbuffer;
+	unsigned int nbits, nbytes;
+	MPI val;
+
+	if (*ret_nread < 2)
+		return ERR_PTR(-EINVAL);
+	nbits = buffer[0] << 8 | buffer[1];
+
+	if (nbits > MAX_EXTERN_MPI_BITS) {
+		pr_info("MPI: mpi too large (%u bits)\n", nbits);
+		return ERR_PTR(-EINVAL);
+	}
+
+	nbytes = DIV_ROUND_UP(nbits, 8);
+	if (nbytes + 2 > *ret_nread) {
+		pr_info("MPI: mpi larger than buffer nbytes=%u ret_nread=%u\n",
+				nbytes, *ret_nread);
+		return ERR_PTR(-EINVAL);
+	}
+
+	val = mpi_read_raw_data(buffer + 2, nbytes);
+	if (!val)
+		return ERR_PTR(-ENOMEM);
+
+	*ret_nread = nbytes + 2;
+	return val;
+}
+EXPORT_SYMBOL_GPL(mpi_read_from_buffer);
+
+/****************
+ * Fill the mpi VAL from the hex string in STR.
+ */
+int mpi_fromstr(MPI val, const char *str)
+{
+	int sign = 0;
+	int prepend_zero = 0;
+	int i, j, c, c1, c2;
+	unsigned int nbits, nbytes, nlimbs;
+	mpi_limb_t a;
+
+	if (*str == '-') {
+		sign = 1;
+		str++;
+	}
+
+	/* Skip optional hex prefix.  */
+	if (*str == '0' && str[1] == 'x')
+		str += 2;
+
+	nbits = strlen(str);
+	if (nbits > MAX_EXTERN_SCAN_BYTES) {
+		mpi_clear(val);
+		return -EINVAL;
+	}
+	nbits *= 4;
+	if ((nbits % 8))
+		prepend_zero = 1;
+
+	nbytes = (nbits+7) / 8;
+	nlimbs = (nbytes+BYTES_PER_MPI_LIMB-1) / BYTES_PER_MPI_LIMB;
+
+	if (val->alloced < nlimbs)
+		mpi_resize(val, nlimbs);
+
+	i = BYTES_PER_MPI_LIMB - (nbytes % BYTES_PER_MPI_LIMB);
+	i %= BYTES_PER_MPI_LIMB;
+	j = val->nlimbs = nlimbs;
+	val->sign = sign;
+	for (; j > 0; j--) {
+		a = 0;
+		for (; i < BYTES_PER_MPI_LIMB; i++) {
+			if (prepend_zero) {
+				c1 = '0';
+				prepend_zero = 0;
+			} else
+				c1 = *str++;
+
+			if (!c1) {
+				mpi_clear(val);
+				return -EINVAL;
+			}
+			c2 = *str++;
+			if (!c2) {
+				mpi_clear(val);
+				return -EINVAL;
+			}
+			if (c1 >= '0' && c1 <= '9')
+				c = c1 - '0';
+			else if (c1 >= 'a' && c1 <= 'f')
+				c = c1 - 'a' + 10;
+			else if (c1 >= 'A' && c1 <= 'F')
+				c = c1 - 'A' + 10;
+			else {
+				mpi_clear(val);
+				return -EINVAL;
+			}
+			c <<= 4;
+			if (c2 >= '0' && c2 <= '9')
+				c |= c2 - '0';
+			else if (c2 >= 'a' && c2 <= 'f')
+				c |= c2 - 'a' + 10;
+			else if (c2 >= 'A' && c2 <= 'F')
+				c |= c2 - 'A' + 10;
+			else {
+				mpi_clear(val);
+				return -EINVAL;
+			}
+			a <<= 8;
+			a |= c;
+		}
+		i = 0;
+		val->d[j-1] = a;
+	}
+
+	return 0;
+}
+EXPORT_SYMBOL_GPL(mpi_fromstr);
+
+MPI mpi_scanval(const char *string)
+{
+	MPI a;
+
+	a = mpi_alloc(0);
+	if (!a)
+		return NULL;
+
+	if (mpi_fromstr(a, string)) {
+		mpi_free(a);
+		return NULL;
+	}
+	mpi_normalize(a);
+	return a;
+}
+EXPORT_SYMBOL_GPL(mpi_scanval);
+
+static int count_lzeros(MPI a)
+{
+	mpi_limb_t alimb;
+	int i, lzeros = 0;
+
+	for (i = a->nlimbs - 1; i >= 0; i--) {
+		alimb = a->d[i];
+		if (alimb == 0) {
+			lzeros += sizeof(mpi_limb_t);
+		} else {
+			lzeros += count_leading_zeros(alimb) / 8;
+			break;
+		}
+	}
+	return lzeros;
+}
+
+/**
+ * mpi_read_buffer() - read MPI to a buffer provided by user (msb first)
+ *
+ * @a:		a multi precision integer
+ * @buf:	buffer to which the output will be written to. Needs to be at
+ *		least mpi_get_size(a) long.
+ * @buf_len:	size of the buf.
+ * @nbytes:	receives the actual length of the data written on success and
+ *		the data to-be-written on -EOVERFLOW in case buf_len was too
+ *		small.
+ * @sign:	if not NULL, it will be set to the sign of a.
+ *
+ * Return:	0 on success or error code in case of error
+ */
+int mpi_read_buffer(MPI a, uint8_t *buf, unsigned buf_len, unsigned *nbytes,
+		    int *sign)
+{
+	uint8_t *p;
+#if BYTES_PER_MPI_LIMB == 4
+	__be32 alimb;
+#elif BYTES_PER_MPI_LIMB == 8
+	__be64 alimb;
+#else
+#error please implement for this limb size.
+#endif
+	unsigned int n = mpi_get_size(a);
+	int i, lzeros;
+
+	if (!buf || !nbytes)
+		return -EINVAL;
+
+	if (sign)
+		*sign = a->sign;
+
+	lzeros = count_lzeros(a);
+
+	if (buf_len < n - lzeros) {
+		*nbytes = n - lzeros;
+		return -EOVERFLOW;
+	}
+
+	p = buf;
+	*nbytes = n - lzeros;
+
+	for (i = a->nlimbs - 1 - lzeros / BYTES_PER_MPI_LIMB,
+			lzeros %= BYTES_PER_MPI_LIMB;
+		i >= 0; i--) {
+#if BYTES_PER_MPI_LIMB == 4
+		alimb = cpu_to_be32(a->d[i]);
+#elif BYTES_PER_MPI_LIMB == 8
+		alimb = cpu_to_be64(a->d[i]);
+#else
+#error please implement for this limb size.
+#endif
+		memcpy(p, (u8 *)&alimb + lzeros, BYTES_PER_MPI_LIMB - lzeros);
+		p += BYTES_PER_MPI_LIMB - lzeros;
+		lzeros = 0;
+	}
+	return 0;
+}
+EXPORT_SYMBOL_GPL(mpi_read_buffer);
+
+/*
+ * mpi_get_buffer() - Returns an allocated buffer with the MPI (msb first).
+ * Caller must free the return string.
+ * This function does return a 0 byte buffer with nbytes set to zero if the
+ * value of A is zero.
+ *
+ * @a:		a multi precision integer.
+ * @nbytes:	receives the length of this buffer.
+ * @sign:	if not NULL, it will be set to the sign of the a.
+ *
+ * Return:	Pointer to MPI buffer or NULL on error
+ */
+void *mpi_get_buffer(MPI a, unsigned *nbytes, int *sign)
+{
+	uint8_t *buf;
+	unsigned int n;
+	int ret;
+
+	if (!nbytes)
+		return NULL;
+
+	n = mpi_get_size(a);
+
+	if (!n)
+		n++;
+
+	buf = kmalloc(n, GFP_KERNEL);
+
+	if (!buf)
+		return NULL;
+
+	ret = mpi_read_buffer(a, buf, n, nbytes, sign);
+
+	if (ret) {
+		kfree(buf);
+		return NULL;
+	}
+	return buf;
+}
+EXPORT_SYMBOL_GPL(mpi_get_buffer);
+
+/**
+ * mpi_write_to_sgl() - Funnction exports MPI to an sgl (msb first)
+ *
+ * This function works in the same way as the mpi_read_buffer, but it
+ * takes an sgl instead of u8 * buf.
+ *
+ * @a:		a multi precision integer
+ * @sgl:	scatterlist to write to. Needs to be at least
+ *		mpi_get_size(a) long.
+ * @nbytes:	the number of bytes to write.  Leading bytes will be
+ *		filled with zero.
+ * @sign:	if not NULL, it will be set to the sign of a.
+ *
+ * Return:	0 on success or error code in case of error
+ */
+int mpi_write_to_sgl(MPI a, struct scatterlist *sgl, unsigned nbytes,
+		     int *sign)
+{
+	u8 *p, *p2;
+#if BYTES_PER_MPI_LIMB == 4
+	__be32 alimb;
+#elif BYTES_PER_MPI_LIMB == 8
+	__be64 alimb;
+#else
+#error please implement for this limb size.
+#endif
+	unsigned int n = mpi_get_size(a);
+	struct sg_mapping_iter miter;
+	int i, x, buf_len;
+	int nents;
+
+	if (sign)
+		*sign = a->sign;
+
+	if (nbytes < n)
+		return -EOVERFLOW;
+
+	nents = sg_nents_for_len(sgl, nbytes);
+	if (nents < 0)
+		return -EINVAL;
+
+	sg_miter_start(&miter, sgl, nents, SG_MITER_ATOMIC | SG_MITER_TO_SG);
+	sg_miter_next(&miter);
+	buf_len = miter.length;
+	p2 = miter.addr;
+
+	while (nbytes > n) {
+		i = min_t(unsigned, nbytes - n, buf_len);
+		memset(p2, 0, i);
+		p2 += i;
+		nbytes -= i;
+
+		buf_len -= i;
+		if (!buf_len) {
+			sg_miter_next(&miter);
+			buf_len = miter.length;
+			p2 = miter.addr;
+		}
+	}
+
+	for (i = a->nlimbs - 1; i >= 0; i--) {
+#if BYTES_PER_MPI_LIMB == 4
+		alimb = a->d[i] ? cpu_to_be32(a->d[i]) : 0;
+#elif BYTES_PER_MPI_LIMB == 8
+		alimb = a->d[i] ? cpu_to_be64(a->d[i]) : 0;
+#else
+#error please implement for this limb size.
+#endif
+		p = (u8 *)&alimb;
+
+		for (x = 0; x < sizeof(alimb); x++) {
+			*p2++ = *p++;
+			if (!--buf_len) {
+				sg_miter_next(&miter);
+				buf_len = miter.length;
+				p2 = miter.addr;
+			}
+		}
+	}
+
+	sg_miter_stop(&miter);
+	return 0;
+}
+EXPORT_SYMBOL_GPL(mpi_write_to_sgl);
+
+/*
+ * mpi_read_raw_from_sgl() - Function allocates an MPI and populates it with
+ *			     data from the sgl
+ *
+ * This function works in the same way as the mpi_read_raw_data, but it
+ * takes an sgl instead of void * buffer. i.e. it allocates
+ * a new MPI and reads the content of the sgl to the MPI.
+ *
+ * @sgl:	scatterlist to read from
+ * @nbytes:	number of bytes to read
+ *
+ * Return:	Pointer to a new MPI or NULL on error
+ */
+MPI mpi_read_raw_from_sgl(struct scatterlist *sgl, unsigned int nbytes)
+{
+	struct sg_mapping_iter miter;
+	unsigned int nbits, nlimbs;
+	int x, j, z, lzeros, ents;
+	unsigned int len;
+	const u8 *buff;
+	mpi_limb_t a;
+	MPI val = NULL;
+
+	ents = sg_nents_for_len(sgl, nbytes);
+	if (ents < 0)
+		return NULL;
+
+	sg_miter_start(&miter, sgl, ents, SG_MITER_ATOMIC | SG_MITER_FROM_SG);
+
+	lzeros = 0;
+	len = 0;
+	while (nbytes > 0) {
+		while (len && !*buff) {
+			lzeros++;
+			len--;
+			buff++;
+		}
+
+		if (len && *buff)
+			break;
+
+		sg_miter_next(&miter);
+		buff = miter.addr;
+		len = miter.length;
+
+		nbytes -= lzeros;
+		lzeros = 0;
+	}
+
+	miter.consumed = lzeros;
+
+	nbytes -= lzeros;
+	nbits = nbytes * 8;
+	if (nbits > MAX_EXTERN_MPI_BITS) {
+		sg_miter_stop(&miter);
+		pr_info("MPI: mpi too large (%u bits)\n", nbits);
+		return NULL;
+	}
+
+	if (nbytes > 0)
+		nbits -= count_leading_zeros(*buff) - (BITS_PER_LONG - 8);
+
+	sg_miter_stop(&miter);
+
+	nlimbs = DIV_ROUND_UP(nbytes, BYTES_PER_MPI_LIMB);
+	val = mpi_alloc(nlimbs);
+	if (!val)
+		return NULL;
+
+	val->nbits = nbits;
+	val->sign = 0;
+	val->nlimbs = nlimbs;
+
+	if (nbytes == 0)
+		return val;
+
+	j = nlimbs - 1;
+	a = 0;
+	z = BYTES_PER_MPI_LIMB - nbytes % BYTES_PER_MPI_LIMB;
+	z %= BYTES_PER_MPI_LIMB;
+
+	while (sg_miter_next(&miter)) {
+		buff = miter.addr;
+		len = min_t(unsigned, miter.length, nbytes);
+		nbytes -= len;
+
+		for (x = 0; x < len; x++) {
+			a <<= 8;
+			a |= *buff++;
+			if (((z + x + 1) % BYTES_PER_MPI_LIMB) == 0) {
+				val->d[j--] = a;
+				a = 0;
+			}
+		}
+		z += x;
+	}
+
+	return val;
+}
+EXPORT_SYMBOL_GPL(mpi_read_raw_from_sgl);
+
+/* Perform a two's complement operation on buffer P of size N bytes.  */
+static void twocompl(unsigned char *p, unsigned int n)
+{
+	int i;
+
+	for (i = n-1; i >= 0 && !p[i]; i--)
+		;
+	if (i >= 0) {
+		if ((p[i] & 0x01))
+			p[i] = (((p[i] ^ 0xfe) | 0x01) & 0xff);
+		else if ((p[i] & 0x02))
+			p[i] = (((p[i] ^ 0xfc) | 0x02) & 0xfe);
+		else if ((p[i] & 0x04))
+			p[i] = (((p[i] ^ 0xf8) | 0x04) & 0xfc);
+		else if ((p[i] & 0x08))
+			p[i] = (((p[i] ^ 0xf0) | 0x08) & 0xf8);
+		else if ((p[i] & 0x10))
+			p[i] = (((p[i] ^ 0xe0) | 0x10) & 0xf0);
+		else if ((p[i] & 0x20))
+			p[i] = (((p[i] ^ 0xc0) | 0x20) & 0xe0);
+		else if ((p[i] & 0x40))
+			p[i] = (((p[i] ^ 0x80) | 0x40) & 0xc0);
+		else
+			p[i] = 0x80;
+
+		for (i--; i >= 0; i--)
+			p[i] ^= 0xff;
+	}
+}
+
+int mpi_print(enum gcry_mpi_format format, unsigned char *buffer,
+			size_t buflen, size_t *nwritten, MPI a)
+{
+	unsigned int nbits = mpi_get_nbits(a);
+	size_t len;
+	size_t dummy_nwritten;
+	int negative;
+
+	if (!nwritten)
+		nwritten = &dummy_nwritten;
+
+	/* Libgcrypt does no always care to set clear the sign if the value
+	 * is 0.  For printing this is a bit of a surprise, in particular
+	 * because if some of the formats don't support negative numbers but
+	 * should be able to print a zero.  Thus we need this extra test
+	 * for a negative number.
+	 */
+	if (a->sign && mpi_cmp_ui(a, 0))
+		negative = 1;
+	else
+		negative = 0;
+
+	len = buflen;
+	*nwritten = 0;
+	if (format == GCRYMPI_FMT_STD) {
+		unsigned char *tmp;
+		int extra = 0;
+		unsigned int n;
+
+		tmp = mpi_get_buffer(a, &n, NULL);
+		if (!tmp)
+			return -EINVAL;
+
+		if (negative) {
+			twocompl(tmp, n);
+			if (!(*tmp & 0x80)) {
+				/* Need to extend the sign.  */
+				n++;
+				extra = 2;
+			}
+		} else if (n && (*tmp & 0x80)) {
+			/* Positive but the high bit of the returned buffer is set.
+			 * Thus we need to print an extra leading 0x00 so that the
+			 * output is interpreted as a positive number.
+			 */
+			n++;
+			extra = 1;
+		}
+
+		if (buffer && n > len) {
+			/* The provided buffer is too short. */
+			kfree(tmp);
+			return -E2BIG;
+		}
+		if (buffer) {
+			unsigned char *s = buffer;
+
+			if (extra == 1)
+				*s++ = 0;
+			else if (extra)
+				*s++ = 0xff;
+			memcpy(s, tmp, n-!!extra);
+		}
+		kfree(tmp);
+		*nwritten = n;
+		return 0;
+	} else if (format == GCRYMPI_FMT_USG) {
+		unsigned int n = (nbits + 7)/8;
+
+		/* Note:  We ignore the sign for this format.  */
+		/* FIXME: for performance reasons we should put this into
+		 * mpi_aprint because we can then use the buffer directly.
+		 */
+
+		if (buffer && n > len)
+			return -E2BIG;
+		if (buffer) {
+			unsigned char *tmp;
+
+			tmp = mpi_get_buffer(a, &n, NULL);
+			if (!tmp)
+				return -EINVAL;
+			memcpy(buffer, tmp, n);
+			kfree(tmp);
+		}
+		*nwritten = n;
+		return 0;
+	} else if (format == GCRYMPI_FMT_PGP) {
+		unsigned int n = (nbits + 7)/8;
+
+		/* The PGP format can only handle unsigned integers.  */
+		if (negative)
+			return -EINVAL;
+
+		if (buffer && n+2 > len)
+			return -E2BIG;
+
+		if (buffer) {
+			unsigned char *tmp;
+			unsigned char *s = buffer;
+
+			s[0] = nbits >> 8;
+			s[1] = nbits;
+
+			tmp = mpi_get_buffer(a, &n, NULL);
+			if (!tmp)
+				return -EINVAL;
+			memcpy(s+2, tmp, n);
+			kfree(tmp);
+		}
+		*nwritten = n+2;
+		return 0;
+	} else if (format == GCRYMPI_FMT_SSH) {
+		unsigned char *tmp;
+		int extra = 0;
+		unsigned int n;
+
+		tmp = mpi_get_buffer(a, &n, NULL);
+		if (!tmp)
+			return -EINVAL;
+
+		if (negative) {
+			twocompl(tmp, n);
+			if (!(*tmp & 0x80)) {
+				/* Need to extend the sign.  */
+				n++;
+				extra = 2;
+			}
+		} else if (n && (*tmp & 0x80)) {
+			n++;
+			extra = 1;
+		}
+
+		if (buffer && n+4 > len) {
+			kfree(tmp);
+			return -E2BIG;
+		}
+
+		if (buffer) {
+			unsigned char *s = buffer;
+
+			*s++ = n >> 24;
+			*s++ = n >> 16;
+			*s++ = n >> 8;
+			*s++ = n;
+			if (extra == 1)
+				*s++ = 0;
+			else if (extra)
+				*s++ = 0xff;
+			memcpy(s, tmp, n-!!extra);
+		}
+		kfree(tmp);
+		*nwritten = 4+n;
+		return 0;
+	} else if (format == GCRYMPI_FMT_HEX) {
+		unsigned char *tmp;
+		int i;
+		int extra = 0;
+		unsigned int n = 0;
+
+		tmp = mpi_get_buffer(a, &n, NULL);
+		if (!tmp)
+			return -EINVAL;
+		if (!n || (*tmp & 0x80))
+			extra = 2;
+
+		if (buffer && 2*n + extra + negative + 1 > len) {
+			kfree(tmp);
+			return -E2BIG;
+		}
+		if (buffer) {
+			unsigned char *s = buffer;
+
+			if (negative)
+				*s++ = '-';
+			if (extra) {
+				*s++ = '0';
+				*s++ = '0';
+			}
+
+			for (i = 0; i < n; i++) {
+				unsigned int c = tmp[i];
+
+				*s++ = (c >> 4) < 10 ? '0'+(c>>4) : 'A'+(c>>4)-10;
+				c &= 15;
+				*s++ = c < 10 ? '0'+c : 'A'+c-10;
+			}
+			*s++ = 0;
+			*nwritten = s - buffer;
+		} else {
+			*nwritten = 2*n + extra + negative + 1;
+		}
+		kfree(tmp);
+		return 0;
+	} else
+		return -EINVAL;
+}
+EXPORT_SYMBOL_GPL(mpi_print);
diff --git a/lib/mpi/mpih-cmp.c b/lib/mpi/mpih-cmp.c
new file mode 100644
index 000000000..f23709114
--- /dev/null
+++ b/lib/mpi/mpih-cmp.c
@@ -0,0 +1,43 @@
+// SPDX-License-Identifier: GPL-2.0-or-later
+/* mpihelp-sub.c  -  MPI helper functions
+ *	Copyright (C) 1994, 1996 Free Software Foundation, Inc.
+ *	Copyright (C) 1998, 1999, 2000, 2001 Free Software Foundation, Inc.
+ *
+ * This file is part of GnuPG.
+ *
+ * Note: This code is heavily based on the GNU MP Library.
+ *	 Actually it's the same code with only minor changes in the
+ *	 way the data is stored; this is to support the abstraction
+ *	 of an optional secure memory allocation which may be used
+ *	 to avoid revealing of sensitive data due to paging etc.
+ *	 The GNU MP Library itself is published under the LGPL;
+ *	 however I decided to publish this code under the plain GPL.
+ */
+
+#include "mpi-internal.h"
+
+/****************
+ * Compare OP1_PTR/OP1_SIZE with OP2_PTR/OP2_SIZE.
+ * There are no restrictions on the relative sizes of
+ * the two arguments.
+ * Return 1 if OP1 > OP2, 0 if they are equal, and -1 if OP1 < OP2.
+ */
+int mpihelp_cmp(mpi_ptr_t op1_ptr, mpi_ptr_t op2_ptr, mpi_size_t size)
+{
+	mpi_size_t i;
+	mpi_limb_t op1_word, op2_word;
+
+	for (i = size - 1; i >= 0; i--) {
+		op1_word = op1_ptr[i];
+		op2_word = op2_ptr[i];
+		if (op1_word != op2_word)
+			goto diff;
+	}
+	return 0;
+
+diff:
+	/* This can *not* be simplified to
+	 *   op2_word - op2_word
+	 * since that expression might give signed overflow.  */
+	return (op1_word > op2_word) ? 1 : -1;
+}
diff --git a/lib/mpi/mpih-div.c b/lib/mpi/mpih-div.c
new file mode 100644
index 000000000..be70ee2e4
--- /dev/null
+++ b/lib/mpi/mpih-div.c
@@ -0,0 +1,517 @@
+// SPDX-License-Identifier: GPL-2.0-or-later
+/* mpihelp-div.c  -  MPI helper functions
+ *	Copyright (C) 1994, 1996 Free Software Foundation, Inc.
+ *	Copyright (C) 1998, 1999 Free Software Foundation, Inc.
+ *
+ * This file is part of GnuPG.
+ *
+ * Note: This code is heavily based on the GNU MP Library.
+ *	 Actually it's the same code with only minor changes in the
+ *	 way the data is stored; this is to support the abstraction
+ *	 of an optional secure memory allocation which may be used
+ *	 to avoid revealing of sensitive data due to paging etc.
+ *	 The GNU MP Library itself is published under the LGPL;
+ *	 however I decided to publish this code under the plain GPL.
+ */
+
+#include "mpi-internal.h"
+#include "longlong.h"
+
+#ifndef UMUL_TIME
+#define UMUL_TIME 1
+#endif
+#ifndef UDIV_TIME
+#define UDIV_TIME UMUL_TIME
+#endif
+
+
+mpi_limb_t
+mpihelp_mod_1(mpi_ptr_t dividend_ptr, mpi_size_t dividend_size,
+			mpi_limb_t divisor_limb)
+{
+	mpi_size_t i;
+	mpi_limb_t n1, n0, r;
+	mpi_limb_t dummy __maybe_unused;
+
+	/* Botch: Should this be handled at all?  Rely on callers?	*/
+	if (!dividend_size)
+		return 0;
+
+	/* If multiplication is much faster than division, and the
+	 * dividend is large, pre-invert the divisor, and use
+	 * only multiplications in the inner loop.
+	 *
+	 * This test should be read:
+	 *	 Does it ever help to use udiv_qrnnd_preinv?
+	 *	   && Does what we save compensate for the inversion overhead?
+	 */
+	if (UDIV_TIME > (2 * UMUL_TIME + 6)
+			&& (UDIV_TIME - (2 * UMUL_TIME + 6)) * dividend_size > UDIV_TIME) {
+		int normalization_steps;
+
+		normalization_steps = count_leading_zeros(divisor_limb);
+		if (normalization_steps) {
+			mpi_limb_t divisor_limb_inverted;
+
+			divisor_limb <<= normalization_steps;
+
+			/* Compute (2**2N - 2**N * DIVISOR_LIMB) / DIVISOR_LIMB.  The
+			 * result is a (N+1)-bit approximation to 1/DIVISOR_LIMB, with the
+			 * most significant bit (with weight 2**N) implicit.
+			 *
+			 * Special case for DIVISOR_LIMB == 100...000.
+			 */
+			if (!(divisor_limb << 1))
+				divisor_limb_inverted = ~(mpi_limb_t)0;
+			else
+				udiv_qrnnd(divisor_limb_inverted, dummy,
+						-divisor_limb, 0, divisor_limb);
+
+			n1 = dividend_ptr[dividend_size - 1];
+			r = n1 >> (BITS_PER_MPI_LIMB - normalization_steps);
+
+			/* Possible optimization:
+			 * if (r == 0
+			 * && divisor_limb > ((n1 << normalization_steps)
+			 *		       | (dividend_ptr[dividend_size - 2] >> ...)))
+			 * ...one division less...
+			 */
+			for (i = dividend_size - 2; i >= 0; i--) {
+				n0 = dividend_ptr[i];
+				UDIV_QRNND_PREINV(dummy, r, r,
+						((n1 << normalization_steps)
+						 | (n0 >> (BITS_PER_MPI_LIMB - normalization_steps))),
+						divisor_limb, divisor_limb_inverted);
+				n1 = n0;
+			}
+			UDIV_QRNND_PREINV(dummy, r, r,
+					n1 << normalization_steps,
+					divisor_limb, divisor_limb_inverted);
+			return r >> normalization_steps;
+		} else {
+			mpi_limb_t divisor_limb_inverted;
+
+			/* Compute (2**2N - 2**N * DIVISOR_LIMB) / DIVISOR_LIMB.  The
+			 * result is a (N+1)-bit approximation to 1/DIVISOR_LIMB, with the
+			 * most significant bit (with weight 2**N) implicit.
+			 *
+			 * Special case for DIVISOR_LIMB == 100...000.
+			 */
+			if (!(divisor_limb << 1))
+				divisor_limb_inverted = ~(mpi_limb_t)0;
+			else
+				udiv_qrnnd(divisor_limb_inverted, dummy,
+						-divisor_limb, 0, divisor_limb);
+
+			i = dividend_size - 1;
+			r = dividend_ptr[i];
+
+			if (r >= divisor_limb)
+				r = 0;
+			else
+				i--;
+
+			for ( ; i >= 0; i--) {
+				n0 = dividend_ptr[i];
+				UDIV_QRNND_PREINV(dummy, r, r,
+						n0, divisor_limb, divisor_limb_inverted);
+			}
+			return r;
+		}
+	} else {
+		if (UDIV_NEEDS_NORMALIZATION) {
+			int normalization_steps;
+
+			normalization_steps = count_leading_zeros(divisor_limb);
+			if (normalization_steps) {
+				divisor_limb <<= normalization_steps;
+
+				n1 = dividend_ptr[dividend_size - 1];
+				r = n1 >> (BITS_PER_MPI_LIMB - normalization_steps);
+
+				/* Possible optimization:
+				 * if (r == 0
+				 * && divisor_limb > ((n1 << normalization_steps)
+				 *		   | (dividend_ptr[dividend_size - 2] >> ...)))
+				 * ...one division less...
+				 */
+				for (i = dividend_size - 2; i >= 0; i--) {
+					n0 = dividend_ptr[i];
+					udiv_qrnnd(dummy, r, r,
+						((n1 << normalization_steps)
+						 | (n0 >> (BITS_PER_MPI_LIMB - normalization_steps))),
+						divisor_limb);
+					n1 = n0;
+				}
+				udiv_qrnnd(dummy, r, r,
+						n1 << normalization_steps,
+						divisor_limb);
+				return r >> normalization_steps;
+			}
+		}
+		/* No normalization needed, either because udiv_qrnnd doesn't require
+		 * it, or because DIVISOR_LIMB is already normalized.
+		 */
+		i = dividend_size - 1;
+		r = dividend_ptr[i];
+
+		if (r >= divisor_limb)
+			r = 0;
+		else
+			i--;
+
+		for (; i >= 0; i--) {
+			n0 = dividend_ptr[i];
+			udiv_qrnnd(dummy, r, r, n0, divisor_limb);
+		}
+		return r;
+	}
+}
+
+/* Divide num (NP/NSIZE) by den (DP/DSIZE) and write
+ * the NSIZE-DSIZE least significant quotient limbs at QP
+ * and the DSIZE long remainder at NP.	If QEXTRA_LIMBS is
+ * non-zero, generate that many fraction bits and append them after the
+ * other quotient limbs.
+ * Return the most significant limb of the quotient, this is always 0 or 1.
+ *
+ * Preconditions:
+ * 0. NSIZE >= DSIZE.
+ * 1. The most significant bit of the divisor must be set.
+ * 2. QP must either not overlap with the input operands at all, or
+ *    QP + DSIZE >= NP must hold true.	(This means that it's
+ *    possible to put the quotient in the high part of NUM, right after the
+ *    remainder in NUM.
+ * 3. NSIZE >= DSIZE, even if QEXTRA_LIMBS is non-zero.
+ */
+
+mpi_limb_t
+mpihelp_divrem(mpi_ptr_t qp, mpi_size_t qextra_limbs,
+	       mpi_ptr_t np, mpi_size_t nsize, mpi_ptr_t dp, mpi_size_t dsize)
+{
+	mpi_limb_t most_significant_q_limb = 0;
+
+	switch (dsize) {
+	case 0:
+		/* We are asked to divide by zero, so go ahead and do it!  (To make
+		   the compiler not remove this statement, return the value.)  */
+		/*
+		 * existing clients of this function have been modified
+		 * not to call it with dsize == 0, so this should not happen
+		 */
+		return 1 / dsize;
+
+	case 1:
+		{
+			mpi_size_t i;
+			mpi_limb_t n1;
+			mpi_limb_t d;
+
+			d = dp[0];
+			n1 = np[nsize - 1];
+
+			if (n1 >= d) {
+				n1 -= d;
+				most_significant_q_limb = 1;
+			}
+
+			qp += qextra_limbs;
+			for (i = nsize - 2; i >= 0; i--)
+				udiv_qrnnd(qp[i], n1, n1, np[i], d);
+			qp -= qextra_limbs;
+
+			for (i = qextra_limbs - 1; i >= 0; i--)
+				udiv_qrnnd(qp[i], n1, n1, 0, d);
+
+			np[0] = n1;
+		}
+		break;
+
+	case 2:
+		{
+			mpi_size_t i;
+			mpi_limb_t n1, n0, n2;
+			mpi_limb_t d1, d0;
+
+			np += nsize - 2;
+			d1 = dp[1];
+			d0 = dp[0];
+			n1 = np[1];
+			n0 = np[0];
+
+			if (n1 >= d1 && (n1 > d1 || n0 >= d0)) {
+				sub_ddmmss(n1, n0, n1, n0, d1, d0);
+				most_significant_q_limb = 1;
+			}
+
+			for (i = qextra_limbs + nsize - 2 - 1; i >= 0; i--) {
+				mpi_limb_t q;
+				mpi_limb_t r;
+
+				if (i >= qextra_limbs)
+					np--;
+				else
+					np[0] = 0;
+
+				if (n1 == d1) {
+					/* Q should be either 111..111 or 111..110.  Need special
+					 * treatment of this rare case as normal division would
+					 * give overflow.  */
+					q = ~(mpi_limb_t) 0;
+
+					r = n0 + d1;
+					if (r < d1) {	/* Carry in the addition? */
+						add_ssaaaa(n1, n0, r - d0,
+							   np[0], 0, d0);
+						qp[i] = q;
+						continue;
+					}
+					n1 = d0 - (d0 != 0 ? 1 : 0);
+					n0 = -d0;
+				} else {
+					udiv_qrnnd(q, r, n1, n0, d1);
+					umul_ppmm(n1, n0, d0, q);
+				}
+
+				n2 = np[0];
+q_test:
+				if (n1 > r || (n1 == r && n0 > n2)) {
+					/* The estimated Q was too large.  */
+					q--;
+					sub_ddmmss(n1, n0, n1, n0, 0, d0);
+					r += d1;
+					if (r >= d1)	/* If not carry, test Q again.  */
+						goto q_test;
+				}
+
+				qp[i] = q;
+				sub_ddmmss(n1, n0, r, n2, n1, n0);
+			}
+			np[1] = n1;
+			np[0] = n0;
+		}
+		break;
+
+	default:
+		{
+			mpi_size_t i;
+			mpi_limb_t dX, d1, n0;
+
+			np += nsize - dsize;
+			dX = dp[dsize - 1];
+			d1 = dp[dsize - 2];
+			n0 = np[dsize - 1];
+
+			if (n0 >= dX) {
+				if (n0 > dX
+				    || mpihelp_cmp(np, dp, dsize - 1) >= 0) {
+					mpihelp_sub_n(np, np, dp, dsize);
+					n0 = np[dsize - 1];
+					most_significant_q_limb = 1;
+				}
+			}
+
+			for (i = qextra_limbs + nsize - dsize - 1; i >= 0; i--) {
+				mpi_limb_t q;
+				mpi_limb_t n1, n2;
+				mpi_limb_t cy_limb;
+
+				if (i >= qextra_limbs) {
+					np--;
+					n2 = np[dsize];
+				} else {
+					n2 = np[dsize - 1];
+					MPN_COPY_DECR(np + 1, np, dsize - 1);
+					np[0] = 0;
+				}
+
+				if (n0 == dX) {
+					/* This might over-estimate q, but it's probably not worth
+					 * the extra code here to find out.  */
+					q = ~(mpi_limb_t) 0;
+				} else {
+					mpi_limb_t r;
+
+					udiv_qrnnd(q, r, n0, np[dsize - 1], dX);
+					umul_ppmm(n1, n0, d1, q);
+
+					while (n1 > r
+					       || (n1 == r
+						   && n0 > np[dsize - 2])) {
+						q--;
+						r += dX;
+						if (r < dX)	/* I.e. "carry in previous addition?" */
+							break;
+						n1 -= n0 < d1;
+						n0 -= d1;
+					}
+				}
+
+				/* Possible optimization: We already have (q * n0) and (1 * n1)
+				 * after the calculation of q.  Taking advantage of that, we
+				 * could make this loop make two iterations less.  */
+				cy_limb = mpihelp_submul_1(np, dp, dsize, q);
+
+				if (n2 != cy_limb) {
+					mpihelp_add_n(np, np, dp, dsize);
+					q--;
+				}
+
+				qp[i] = q;
+				n0 = np[dsize - 1];
+			}
+		}
+	}
+
+	return most_significant_q_limb;
+}
+
+/****************
+ * Divide (DIVIDEND_PTR,,DIVIDEND_SIZE) by DIVISOR_LIMB.
+ * Write DIVIDEND_SIZE limbs of quotient at QUOT_PTR.
+ * Return the single-limb remainder.
+ * There are no constraints on the value of the divisor.
+ *
+ * QUOT_PTR and DIVIDEND_PTR might point to the same limb.
+ */
+
+mpi_limb_t
+mpihelp_divmod_1(mpi_ptr_t quot_ptr,
+		mpi_ptr_t dividend_ptr, mpi_size_t dividend_size,
+		mpi_limb_t divisor_limb)
+{
+	mpi_size_t i;
+	mpi_limb_t n1, n0, r;
+	mpi_limb_t dummy __maybe_unused;
+
+	if (!dividend_size)
+		return 0;
+
+	/* If multiplication is much faster than division, and the
+	 * dividend is large, pre-invert the divisor, and use
+	 * only multiplications in the inner loop.
+	 *
+	 * This test should be read:
+	 * Does it ever help to use udiv_qrnnd_preinv?
+	 * && Does what we save compensate for the inversion overhead?
+	 */
+	if (UDIV_TIME > (2 * UMUL_TIME + 6)
+			&& (UDIV_TIME - (2 * UMUL_TIME + 6)) * dividend_size > UDIV_TIME) {
+		int normalization_steps;
+
+		normalization_steps = count_leading_zeros(divisor_limb);
+		if (normalization_steps) {
+			mpi_limb_t divisor_limb_inverted;
+
+			divisor_limb <<= normalization_steps;
+
+			/* Compute (2**2N - 2**N * DIVISOR_LIMB) / DIVISOR_LIMB.  The
+			 * result is a (N+1)-bit approximation to 1/DIVISOR_LIMB, with the
+			 * most significant bit (with weight 2**N) implicit.
+			 */
+			/* Special case for DIVISOR_LIMB == 100...000.  */
+			if (!(divisor_limb << 1))
+				divisor_limb_inverted = ~(mpi_limb_t)0;
+			else
+				udiv_qrnnd(divisor_limb_inverted, dummy,
+						-divisor_limb, 0, divisor_limb);
+
+			n1 = dividend_ptr[dividend_size - 1];
+			r = n1 >> (BITS_PER_MPI_LIMB - normalization_steps);
+
+			/* Possible optimization:
+			 * if (r == 0
+			 * && divisor_limb > ((n1 << normalization_steps)
+			 *		       | (dividend_ptr[dividend_size - 2] >> ...)))
+			 * ...one division less...
+			 */
+			for (i = dividend_size - 2; i >= 0; i--) {
+				n0 = dividend_ptr[i];
+				UDIV_QRNND_PREINV(quot_ptr[i + 1], r, r,
+						((n1 << normalization_steps)
+						 | (n0 >> (BITS_PER_MPI_LIMB - normalization_steps))),
+						divisor_limb, divisor_limb_inverted);
+				n1 = n0;
+			}
+			UDIV_QRNND_PREINV(quot_ptr[0], r, r,
+					n1 << normalization_steps,
+					divisor_limb, divisor_limb_inverted);
+			return r >> normalization_steps;
+		} else {
+			mpi_limb_t divisor_limb_inverted;
+
+			/* Compute (2**2N - 2**N * DIVISOR_LIMB) / DIVISOR_LIMB.  The
+			 * result is a (N+1)-bit approximation to 1/DIVISOR_LIMB, with the
+			 * most significant bit (with weight 2**N) implicit.
+			 */
+			/* Special case for DIVISOR_LIMB == 100...000.  */
+			if (!(divisor_limb << 1))
+				divisor_limb_inverted = ~(mpi_limb_t) 0;
+			else
+				udiv_qrnnd(divisor_limb_inverted, dummy,
+						-divisor_limb, 0, divisor_limb);
+
+			i = dividend_size - 1;
+			r = dividend_ptr[i];
+
+			if (r >= divisor_limb)
+				r = 0;
+			else
+				quot_ptr[i--] = 0;
+
+			for ( ; i >= 0; i--) {
+				n0 = dividend_ptr[i];
+				UDIV_QRNND_PREINV(quot_ptr[i], r, r,
+						n0, divisor_limb, divisor_limb_inverted);
+			}
+			return r;
+		}
+	} else {
+		if (UDIV_NEEDS_NORMALIZATION) {
+			int normalization_steps;
+
+			normalization_steps = count_leading_zeros(divisor_limb);
+			if (normalization_steps) {
+				divisor_limb <<= normalization_steps;
+
+				n1 = dividend_ptr[dividend_size - 1];
+				r = n1 >> (BITS_PER_MPI_LIMB - normalization_steps);
+
+				/* Possible optimization:
+				 * if (r == 0
+				 * && divisor_limb > ((n1 << normalization_steps)
+				 *		   | (dividend_ptr[dividend_size - 2] >> ...)))
+				 * ...one division less...
+				 */
+				for (i = dividend_size - 2; i >= 0; i--) {
+					n0 = dividend_ptr[i];
+					udiv_qrnnd(quot_ptr[i + 1], r, r,
+						((n1 << normalization_steps)
+						 | (n0 >> (BITS_PER_MPI_LIMB - normalization_steps))),
+						divisor_limb);
+					n1 = n0;
+				}
+				udiv_qrnnd(quot_ptr[0], r, r,
+						n1 << normalization_steps,
+						divisor_limb);
+				return r >> normalization_steps;
+			}
+		}
+		/* No normalization needed, either because udiv_qrnnd doesn't require
+		 * it, or because DIVISOR_LIMB is already normalized.
+		 */
+		i = dividend_size - 1;
+		r = dividend_ptr[i];
+
+		if (r >= divisor_limb)
+			r = 0;
+		else
+			quot_ptr[i--] = 0;
+
+		for (; i >= 0; i--) {
+			n0 = dividend_ptr[i];
+			udiv_qrnnd(quot_ptr[i], r, r, n0, divisor_limb);
+		}
+		return r;
+	}
+}
diff --git a/lib/mpi/mpih-mul.c b/lib/mpi/mpih-mul.c
new file mode 100644
index 000000000..e5f1c84e3
--- /dev/null
+++ b/lib/mpi/mpih-mul.c
@@ -0,0 +1,509 @@
+// SPDX-License-Identifier: GPL-2.0-or-later
+/* mpihelp-mul.c  -  MPI helper functions
+ * Copyright (C) 1994, 1996, 1998, 1999,
+ *               2000 Free Software Foundation, Inc.
+ *
+ * This file is part of GnuPG.
+ *
+ * Note: This code is heavily based on the GNU MP Library.
+ *	 Actually it's the same code with only minor changes in the
+ *	 way the data is stored; this is to support the abstraction
+ *	 of an optional secure memory allocation which may be used
+ *	 to avoid revealing of sensitive data due to paging etc.
+ *	 The GNU MP Library itself is published under the LGPL;
+ *	 however I decided to publish this code under the plain GPL.
+ */
+
+#include <linux/string.h>
+#include "mpi-internal.h"
+#include "longlong.h"
+
+#define MPN_MUL_N_RECURSE(prodp, up, vp, size, tspace)		\
+	do {							\
+		if ((size) < KARATSUBA_THRESHOLD)		\
+			mul_n_basecase(prodp, up, vp, size);	\
+		else						\
+			mul_n(prodp, up, vp, size, tspace);	\
+	} while (0);
+
+#define MPN_SQR_N_RECURSE(prodp, up, size, tspace)		\
+	do {							\
+		if ((size) < KARATSUBA_THRESHOLD)		\
+			mpih_sqr_n_basecase(prodp, up, size);	\
+		else						\
+			mpih_sqr_n(prodp, up, size, tspace);	\
+	} while (0);
+
+/* Multiply the natural numbers u (pointed to by UP) and v (pointed to by VP),
+ * both with SIZE limbs, and store the result at PRODP.  2 * SIZE limbs are
+ * always stored.  Return the most significant limb.
+ *
+ * Argument constraints:
+ * 1. PRODP != UP and PRODP != VP, i.e. the destination
+ *    must be distinct from the multiplier and the multiplicand.
+ *
+ *
+ * Handle simple cases with traditional multiplication.
+ *
+ * This is the most critical code of multiplication.  All multiplies rely
+ * on this, both small and huge.  Small ones arrive here immediately.  Huge
+ * ones arrive here as this is the base case for Karatsuba's recursive
+ * algorithm below.
+ */
+
+static mpi_limb_t
+mul_n_basecase(mpi_ptr_t prodp, mpi_ptr_t up, mpi_ptr_t vp, mpi_size_t size)
+{
+	mpi_size_t i;
+	mpi_limb_t cy;
+	mpi_limb_t v_limb;
+
+	/* Multiply by the first limb in V separately, as the result can be
+	 * stored (not added) to PROD.  We also avoid a loop for zeroing.  */
+	v_limb = vp[0];
+	if (v_limb <= 1) {
+		if (v_limb == 1)
+			MPN_COPY(prodp, up, size);
+		else
+			MPN_ZERO(prodp, size);
+		cy = 0;
+	} else
+		cy = mpihelp_mul_1(prodp, up, size, v_limb);
+
+	prodp[size] = cy;
+	prodp++;
+
+	/* For each iteration in the outer loop, multiply one limb from
+	 * U with one limb from V, and add it to PROD.  */
+	for (i = 1; i < size; i++) {
+		v_limb = vp[i];
+		if (v_limb <= 1) {
+			cy = 0;
+			if (v_limb == 1)
+				cy = mpihelp_add_n(prodp, prodp, up, size);
+		} else
+			cy = mpihelp_addmul_1(prodp, up, size, v_limb);
+
+		prodp[size] = cy;
+		prodp++;
+	}
+
+	return cy;
+}
+
+static void
+mul_n(mpi_ptr_t prodp, mpi_ptr_t up, mpi_ptr_t vp,
+		mpi_size_t size, mpi_ptr_t tspace)
+{
+	if (size & 1) {
+		/* The size is odd, and the code below doesn't handle that.
+		 * Multiply the least significant (size - 1) limbs with a recursive
+		 * call, and handle the most significant limb of S1 and S2
+		 * separately.
+		 * A slightly faster way to do this would be to make the Karatsuba
+		 * code below behave as if the size were even, and let it check for
+		 * odd size in the end.  I.e., in essence move this code to the end.
+		 * Doing so would save us a recursive call, and potentially make the
+		 * stack grow a lot less.
+		 */
+		mpi_size_t esize = size - 1;	/* even size */
+		mpi_limb_t cy_limb;
+
+		MPN_MUL_N_RECURSE(prodp, up, vp, esize, tspace);
+		cy_limb = mpihelp_addmul_1(prodp + esize, up, esize, vp[esize]);
+		prodp[esize + esize] = cy_limb;
+		cy_limb = mpihelp_addmul_1(prodp + esize, vp, size, up[esize]);
+		prodp[esize + size] = cy_limb;
+	} else {
+		/* Anatolij Alekseevich Karatsuba's divide-and-conquer algorithm.
+		 *
+		 * Split U in two pieces, U1 and U0, such that
+		 * U = U0 + U1*(B**n),
+		 * and V in V1 and V0, such that
+		 * V = V0 + V1*(B**n).
+		 *
+		 * UV is then computed recursively using the identity
+		 *
+		 *        2n   n          n                     n
+		 * UV = (B  + B )U V  +  B (U -U )(V -V )  +  (B + 1)U V
+		 *                1 1        1  0   0  1              0 0
+		 *
+		 * Where B = 2**BITS_PER_MP_LIMB.
+		 */
+		mpi_size_t hsize = size >> 1;
+		mpi_limb_t cy;
+		int negflg;
+
+		/* Product H.      ________________  ________________
+		 *                |_____U1 x V1____||____U0 x V0_____|
+		 * Put result in upper part of PROD and pass low part of TSPACE
+		 * as new TSPACE.
+		 */
+		MPN_MUL_N_RECURSE(prodp + size, up + hsize, vp + hsize, hsize,
+				  tspace);
+
+		/* Product M.      ________________
+		 *                |_(U1-U0)(V0-V1)_|
+		 */
+		if (mpihelp_cmp(up + hsize, up, hsize) >= 0) {
+			mpihelp_sub_n(prodp, up + hsize, up, hsize);
+			negflg = 0;
+		} else {
+			mpihelp_sub_n(prodp, up, up + hsize, hsize);
+			negflg = 1;
+		}
+		if (mpihelp_cmp(vp + hsize, vp, hsize) >= 0) {
+			mpihelp_sub_n(prodp + hsize, vp + hsize, vp, hsize);
+			negflg ^= 1;
+		} else {
+			mpihelp_sub_n(prodp + hsize, vp, vp + hsize, hsize);
+			/* No change of NEGFLG.  */
+		}
+		/* Read temporary operands from low part of PROD.
+		 * Put result in low part of TSPACE using upper part of TSPACE
+		 * as new TSPACE.
+		 */
+		MPN_MUL_N_RECURSE(tspace, prodp, prodp + hsize, hsize,
+				  tspace + size);
+
+		/* Add/copy product H. */
+		MPN_COPY(prodp + hsize, prodp + size, hsize);
+		cy = mpihelp_add_n(prodp + size, prodp + size,
+				   prodp + size + hsize, hsize);
+
+		/* Add product M (if NEGFLG M is a negative number) */
+		if (negflg)
+			cy -=
+			    mpihelp_sub_n(prodp + hsize, prodp + hsize, tspace,
+					  size);
+		else
+			cy +=
+			    mpihelp_add_n(prodp + hsize, prodp + hsize, tspace,
+					  size);
+
+		/* Product L.      ________________  ________________
+		 *                |________________||____U0 x V0_____|
+		 * Read temporary operands from low part of PROD.
+		 * Put result in low part of TSPACE using upper part of TSPACE
+		 * as new TSPACE.
+		 */
+		MPN_MUL_N_RECURSE(tspace, up, vp, hsize, tspace + size);
+
+		/* Add/copy Product L (twice) */
+
+		cy += mpihelp_add_n(prodp + hsize, prodp + hsize, tspace, size);
+		if (cy)
+			mpihelp_add_1(prodp + hsize + size,
+				      prodp + hsize + size, hsize, cy);
+
+		MPN_COPY(prodp, tspace, hsize);
+		cy = mpihelp_add_n(prodp + hsize, prodp + hsize, tspace + hsize,
+				   hsize);
+		if (cy)
+			mpihelp_add_1(prodp + size, prodp + size, size, 1);
+	}
+}
+
+void mpih_sqr_n_basecase(mpi_ptr_t prodp, mpi_ptr_t up, mpi_size_t size)
+{
+	mpi_size_t i;
+	mpi_limb_t cy_limb;
+	mpi_limb_t v_limb;
+
+	/* Multiply by the first limb in V separately, as the result can be
+	 * stored (not added) to PROD.  We also avoid a loop for zeroing.  */
+	v_limb = up[0];
+	if (v_limb <= 1) {
+		if (v_limb == 1)
+			MPN_COPY(prodp, up, size);
+		else
+			MPN_ZERO(prodp, size);
+		cy_limb = 0;
+	} else
+		cy_limb = mpihelp_mul_1(prodp, up, size, v_limb);
+
+	prodp[size] = cy_limb;
+	prodp++;
+
+	/* For each iteration in the outer loop, multiply one limb from
+	 * U with one limb from V, and add it to PROD.  */
+	for (i = 1; i < size; i++) {
+		v_limb = up[i];
+		if (v_limb <= 1) {
+			cy_limb = 0;
+			if (v_limb == 1)
+				cy_limb = mpihelp_add_n(prodp, prodp, up, size);
+		} else
+			cy_limb = mpihelp_addmul_1(prodp, up, size, v_limb);
+
+		prodp[size] = cy_limb;
+		prodp++;
+	}
+}
+
+void
+mpih_sqr_n(mpi_ptr_t prodp, mpi_ptr_t up, mpi_size_t size, mpi_ptr_t tspace)
+{
+	if (size & 1) {
+		/* The size is odd, and the code below doesn't handle that.
+		 * Multiply the least significant (size - 1) limbs with a recursive
+		 * call, and handle the most significant limb of S1 and S2
+		 * separately.
+		 * A slightly faster way to do this would be to make the Karatsuba
+		 * code below behave as if the size were even, and let it check for
+		 * odd size in the end.  I.e., in essence move this code to the end.
+		 * Doing so would save us a recursive call, and potentially make the
+		 * stack grow a lot less.
+		 */
+		mpi_size_t esize = size - 1;	/* even size */
+		mpi_limb_t cy_limb;
+
+		MPN_SQR_N_RECURSE(prodp, up, esize, tspace);
+		cy_limb = mpihelp_addmul_1(prodp + esize, up, esize, up[esize]);
+		prodp[esize + esize] = cy_limb;
+		cy_limb = mpihelp_addmul_1(prodp + esize, up, size, up[esize]);
+
+		prodp[esize + size] = cy_limb;
+	} else {
+		mpi_size_t hsize = size >> 1;
+		mpi_limb_t cy;
+
+		/* Product H.      ________________  ________________
+		 *                |_____U1 x U1____||____U0 x U0_____|
+		 * Put result in upper part of PROD and pass low part of TSPACE
+		 * as new TSPACE.
+		 */
+		MPN_SQR_N_RECURSE(prodp + size, up + hsize, hsize, tspace);
+
+		/* Product M.      ________________
+		 *                |_(U1-U0)(U0-U1)_|
+		 */
+		if (mpihelp_cmp(up + hsize, up, hsize) >= 0)
+			mpihelp_sub_n(prodp, up + hsize, up, hsize);
+		else
+			mpihelp_sub_n(prodp, up, up + hsize, hsize);
+
+		/* Read temporary operands from low part of PROD.
+		 * Put result in low part of TSPACE using upper part of TSPACE
+		 * as new TSPACE.  */
+		MPN_SQR_N_RECURSE(tspace, prodp, hsize, tspace + size);
+
+		/* Add/copy product H  */
+		MPN_COPY(prodp + hsize, prodp + size, hsize);
+		cy = mpihelp_add_n(prodp + size, prodp + size,
+				   prodp + size + hsize, hsize);
+
+		/* Add product M (if NEGFLG M is a negative number).  */
+		cy -= mpihelp_sub_n(prodp + hsize, prodp + hsize, tspace, size);
+
+		/* Product L.      ________________  ________________
+		 *                |________________||____U0 x U0_____|
+		 * Read temporary operands from low part of PROD.
+		 * Put result in low part of TSPACE using upper part of TSPACE
+		 * as new TSPACE.  */
+		MPN_SQR_N_RECURSE(tspace, up, hsize, tspace + size);
+
+		/* Add/copy Product L (twice).  */
+		cy += mpihelp_add_n(prodp + hsize, prodp + hsize, tspace, size);
+		if (cy)
+			mpihelp_add_1(prodp + hsize + size,
+				      prodp + hsize + size, hsize, cy);
+
+		MPN_COPY(prodp, tspace, hsize);
+		cy = mpihelp_add_n(prodp + hsize, prodp + hsize, tspace + hsize,
+				   hsize);
+		if (cy)
+			mpihelp_add_1(prodp + size, prodp + size, size, 1);
+	}
+}
+
+
+void mpihelp_mul_n(mpi_ptr_t prodp,
+		mpi_ptr_t up, mpi_ptr_t vp, mpi_size_t size)
+{
+	if (up == vp) {
+		if (size < KARATSUBA_THRESHOLD)
+			mpih_sqr_n_basecase(prodp, up, size);
+		else {
+			mpi_ptr_t tspace;
+			tspace = mpi_alloc_limb_space(2 * size);
+			mpih_sqr_n(prodp, up, size, tspace);
+			mpi_free_limb_space(tspace);
+		}
+	} else {
+		if (size < KARATSUBA_THRESHOLD)
+			mul_n_basecase(prodp, up, vp, size);
+		else {
+			mpi_ptr_t tspace;
+			tspace = mpi_alloc_limb_space(2 * size);
+			mul_n(prodp, up, vp, size, tspace);
+			mpi_free_limb_space(tspace);
+		}
+	}
+}
+
+int
+mpihelp_mul_karatsuba_case(mpi_ptr_t prodp,
+			   mpi_ptr_t up, mpi_size_t usize,
+			   mpi_ptr_t vp, mpi_size_t vsize,
+			   struct karatsuba_ctx *ctx)
+{
+	mpi_limb_t cy;
+
+	if (!ctx->tspace || ctx->tspace_size < vsize) {
+		if (ctx->tspace)
+			mpi_free_limb_space(ctx->tspace);
+		ctx->tspace = mpi_alloc_limb_space(2 * vsize);
+		if (!ctx->tspace)
+			return -ENOMEM;
+		ctx->tspace_size = vsize;
+	}
+
+	MPN_MUL_N_RECURSE(prodp, up, vp, vsize, ctx->tspace);
+
+	prodp += vsize;
+	up += vsize;
+	usize -= vsize;
+	if (usize >= vsize) {
+		if (!ctx->tp || ctx->tp_size < vsize) {
+			if (ctx->tp)
+				mpi_free_limb_space(ctx->tp);
+			ctx->tp = mpi_alloc_limb_space(2 * vsize);
+			if (!ctx->tp) {
+				if (ctx->tspace)
+					mpi_free_limb_space(ctx->tspace);
+				ctx->tspace = NULL;
+				return -ENOMEM;
+			}
+			ctx->tp_size = vsize;
+		}
+
+		do {
+			MPN_MUL_N_RECURSE(ctx->tp, up, vp, vsize, ctx->tspace);
+			cy = mpihelp_add_n(prodp, prodp, ctx->tp, vsize);
+			mpihelp_add_1(prodp + vsize, ctx->tp + vsize, vsize,
+				      cy);
+			prodp += vsize;
+			up += vsize;
+			usize -= vsize;
+		} while (usize >= vsize);
+	}
+
+	if (usize) {
+		if (usize < KARATSUBA_THRESHOLD) {
+			mpi_limb_t tmp;
+			if (mpihelp_mul(ctx->tspace, vp, vsize, up, usize, &tmp)
+			    < 0)
+				return -ENOMEM;
+		} else {
+			if (!ctx->next) {
+				ctx->next = kzalloc(sizeof *ctx, GFP_KERNEL);
+				if (!ctx->next)
+					return -ENOMEM;
+			}
+			if (mpihelp_mul_karatsuba_case(ctx->tspace,
+						       vp, vsize,
+						       up, usize,
+						       ctx->next) < 0)
+				return -ENOMEM;
+		}
+
+		cy = mpihelp_add_n(prodp, prodp, ctx->tspace, vsize);
+		mpihelp_add_1(prodp + vsize, ctx->tspace + vsize, usize, cy);
+	}
+
+	return 0;
+}
+
+void mpihelp_release_karatsuba_ctx(struct karatsuba_ctx *ctx)
+{
+	struct karatsuba_ctx *ctx2;
+
+	if (ctx->tp)
+		mpi_free_limb_space(ctx->tp);
+	if (ctx->tspace)
+		mpi_free_limb_space(ctx->tspace);
+	for (ctx = ctx->next; ctx; ctx = ctx2) {
+		ctx2 = ctx->next;
+		if (ctx->tp)
+			mpi_free_limb_space(ctx->tp);
+		if (ctx->tspace)
+			mpi_free_limb_space(ctx->tspace);
+		kfree(ctx);
+	}
+}
+
+/* Multiply the natural numbers u (pointed to by UP, with USIZE limbs)
+ * and v (pointed to by VP, with VSIZE limbs), and store the result at
+ * PRODP.  USIZE + VSIZE limbs are always stored, but if the input
+ * operands are normalized.  Return the most significant limb of the
+ * result.
+ *
+ * NOTE: The space pointed to by PRODP is overwritten before finished
+ * with U and V, so overlap is an error.
+ *
+ * Argument constraints:
+ * 1. USIZE >= VSIZE.
+ * 2. PRODP != UP and PRODP != VP, i.e. the destination
+ *    must be distinct from the multiplier and the multiplicand.
+ */
+
+int
+mpihelp_mul(mpi_ptr_t prodp, mpi_ptr_t up, mpi_size_t usize,
+	    mpi_ptr_t vp, mpi_size_t vsize, mpi_limb_t *_result)
+{
+	mpi_ptr_t prod_endp = prodp + usize + vsize - 1;
+	mpi_limb_t cy;
+	struct karatsuba_ctx ctx;
+
+	if (vsize < KARATSUBA_THRESHOLD) {
+		mpi_size_t i;
+		mpi_limb_t v_limb;
+
+		if (!vsize) {
+			*_result = 0;
+			return 0;
+		}
+
+		/* Multiply by the first limb in V separately, as the result can be
+		 * stored (not added) to PROD.  We also avoid a loop for zeroing.  */
+		v_limb = vp[0];
+		if (v_limb <= 1) {
+			if (v_limb == 1)
+				MPN_COPY(prodp, up, usize);
+			else
+				MPN_ZERO(prodp, usize);
+			cy = 0;
+		} else
+			cy = mpihelp_mul_1(prodp, up, usize, v_limb);
+
+		prodp[usize] = cy;
+		prodp++;
+
+		/* For each iteration in the outer loop, multiply one limb from
+		 * U with one limb from V, and add it to PROD.  */
+		for (i = 1; i < vsize; i++) {
+			v_limb = vp[i];
+			if (v_limb <= 1) {
+				cy = 0;
+				if (v_limb == 1)
+					cy = mpihelp_add_n(prodp, prodp, up,
+							   usize);
+			} else
+				cy = mpihelp_addmul_1(prodp, up, usize, v_limb);
+
+			prodp[usize] = cy;
+			prodp++;
+		}
+
+		*_result = cy;
+		return 0;
+	}
+
+	memset(&ctx, 0, sizeof ctx);
+	if (mpihelp_mul_karatsuba_case(prodp, up, usize, vp, vsize, &ctx) < 0)
+		return -ENOMEM;
+	mpihelp_release_karatsuba_ctx(&ctx);
+	*_result = *prod_endp;
+	return 0;
+}
diff --git a/lib/mpi/mpiutil.c b/lib/mpi/mpiutil.c
new file mode 100644
index 000000000..aa8c46544
--- /dev/null
+++ b/lib/mpi/mpiutil.c
@@ -0,0 +1,330 @@
+/* mpiutil.ac  -  Utility functions for MPI
+ * Copyright (C) 1998, 1999 Free Software Foundation, Inc.
+ *
+ * This file is part of GnuPG.
+ *
+ * GnuPG is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 2 of the License, or
+ * (at your option) any later version.
+ *
+ * GnuPG 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 General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA
+ */
+
+#include "mpi-internal.h"
+
+/* Constants allocated right away at startup.  */
+static MPI constants[MPI_NUMBER_OF_CONSTANTS];
+
+/* Initialize the MPI subsystem.  This is called early and allows to
+ * do some initialization without taking care of threading issues.
+ */
+static int __init mpi_init(void)
+{
+	int idx;
+	unsigned long value;
+
+	for (idx = 0; idx < MPI_NUMBER_OF_CONSTANTS; idx++) {
+		switch (idx) {
+		case MPI_C_ZERO:
+			value = 0;
+			break;
+		case MPI_C_ONE:
+			value = 1;
+			break;
+		case MPI_C_TWO:
+			value = 2;
+			break;
+		case MPI_C_THREE:
+			value = 3;
+			break;
+		case MPI_C_FOUR:
+			value = 4;
+			break;
+		case MPI_C_EIGHT:
+			value = 8;
+			break;
+		default:
+			pr_err("MPI: invalid mpi_const selector %d\n", idx);
+			return -EFAULT;
+		}
+		constants[idx] = mpi_alloc_set_ui(value);
+		constants[idx]->flags = (16|32);
+	}
+
+	return 0;
+}
+postcore_initcall(mpi_init);
+
+/* Return a constant MPI descripbed by NO which is one of the
+ * MPI_C_xxx macros.  There is no need to copy this returned value; it
+ * may be used directly.
+ */
+MPI mpi_const(enum gcry_mpi_constants no)
+{
+	if ((int)no < 0 || no > MPI_NUMBER_OF_CONSTANTS)
+		pr_err("MPI: invalid mpi_const selector %d\n", no);
+	if (!constants[no])
+		pr_err("MPI: MPI subsystem not initialized\n");
+	return constants[no];
+}
+EXPORT_SYMBOL_GPL(mpi_const);
+
+/****************
+ * Note:  It was a bad idea to use the number of limbs to allocate
+ *	  because on a alpha the limbs are large but we normally need
+ *	  integers of n bits - So we should change this to bits (or bytes).
+ *
+ *	  But mpi_alloc is used in a lot of places :-)
+ */
+MPI mpi_alloc(unsigned nlimbs)
+{
+	MPI a;
+
+	a = kmalloc(sizeof *a, GFP_KERNEL);
+	if (!a)
+		return a;
+
+	if (nlimbs) {
+		a->d = mpi_alloc_limb_space(nlimbs);
+		if (!a->d) {
+			kfree(a);
+			return NULL;
+		}
+	} else {
+		a->d = NULL;
+	}
+
+	a->alloced = nlimbs;
+	a->nlimbs = 0;
+	a->sign = 0;
+	a->flags = 0;
+	a->nbits = 0;
+	return a;
+}
+EXPORT_SYMBOL_GPL(mpi_alloc);
+
+mpi_ptr_t mpi_alloc_limb_space(unsigned nlimbs)
+{
+	size_t len = nlimbs * sizeof(mpi_limb_t);
+
+	if (!len)
+		return NULL;
+
+	return kmalloc(len, GFP_KERNEL);
+}
+
+void mpi_free_limb_space(mpi_ptr_t a)
+{
+	if (!a)
+		return;
+
+	kfree_sensitive(a);
+}
+
+void mpi_assign_limb_space(MPI a, mpi_ptr_t ap, unsigned nlimbs)
+{
+	mpi_free_limb_space(a->d);
+	a->d = ap;
+	a->alloced = nlimbs;
+}
+
+/****************
+ * Resize the array of A to NLIMBS. the additional space is cleared
+ * (set to 0) [done by m_realloc()]
+ */
+int mpi_resize(MPI a, unsigned nlimbs)
+{
+	void *p;
+
+	if (nlimbs <= a->alloced)
+		return 0;	/* no need to do it */
+
+	if (a->d) {
+		p = kcalloc(nlimbs, sizeof(mpi_limb_t), GFP_KERNEL);
+		if (!p)
+			return -ENOMEM;
+		memcpy(p, a->d, a->alloced * sizeof(mpi_limb_t));
+		kfree_sensitive(a->d);
+		a->d = p;
+	} else {
+		a->d = kcalloc(nlimbs, sizeof(mpi_limb_t), GFP_KERNEL);
+		if (!a->d)
+			return -ENOMEM;
+	}
+	a->alloced = nlimbs;
+	return 0;
+}
+
+void mpi_clear(MPI a)
+{
+	if (!a)
+		return;
+	a->nlimbs = 0;
+	a->flags = 0;
+}
+EXPORT_SYMBOL_GPL(mpi_clear);
+
+void mpi_free(MPI a)
+{
+	if (!a)
+		return;
+
+	if (a->flags & 4)
+		kfree_sensitive(a->d);
+	else
+		mpi_free_limb_space(a->d);
+
+	if (a->flags & ~7)
+		pr_info("invalid flag value in mpi\n");
+	kfree(a);
+}
+EXPORT_SYMBOL_GPL(mpi_free);
+
+/****************
+ * Note: This copy function should not interpret the MPI
+ *	 but copy it transparently.
+ */
+MPI mpi_copy(MPI a)
+{
+	int i;
+	MPI b;
+
+	if (a) {
+		b = mpi_alloc(a->nlimbs);
+		b->nlimbs = a->nlimbs;
+		b->sign = a->sign;
+		b->flags = a->flags;
+		b->flags &= ~(16|32); /* Reset the immutable and constant flags. */
+		for (i = 0; i < b->nlimbs; i++)
+			b->d[i] = a->d[i];
+	} else
+		b = NULL;
+	return b;
+}
+
+/****************
+ * This function allocates an MPI which is optimized to hold
+ * a value as large as the one given in the argument and allocates it
+ * with the same flags as A.
+ */
+MPI mpi_alloc_like(MPI a)
+{
+	MPI b;
+
+	if (a) {
+		b = mpi_alloc(a->nlimbs);
+		b->nlimbs = 0;
+		b->sign = 0;
+		b->flags = a->flags;
+	} else
+		b = NULL;
+
+	return b;
+}
+
+
+/* Set U into W and release U.  If W is NULL only U will be released. */
+void mpi_snatch(MPI w, MPI u)
+{
+	if (w) {
+		mpi_assign_limb_space(w, u->d, u->alloced);
+		w->nlimbs = u->nlimbs;
+		w->sign   = u->sign;
+		w->flags  = u->flags;
+		u->alloced = 0;
+		u->nlimbs = 0;
+		u->d = NULL;
+	}
+	mpi_free(u);
+}
+
+
+MPI mpi_set(MPI w, MPI u)
+{
+	mpi_ptr_t wp, up;
+	mpi_size_t usize = u->nlimbs;
+	int usign = u->sign;
+
+	if (!w)
+		w = mpi_alloc(mpi_get_nlimbs(u));
+	RESIZE_IF_NEEDED(w, usize);
+	wp = w->d;
+	up = u->d;
+	MPN_COPY(wp, up, usize);
+	w->nlimbs = usize;
+	w->flags = u->flags;
+	w->flags &= ~(16|32); /* Reset the immutable and constant flags.  */
+	w->sign = usign;
+	return w;
+}
+EXPORT_SYMBOL_GPL(mpi_set);
+
+MPI mpi_set_ui(MPI w, unsigned long u)
+{
+	if (!w)
+		w = mpi_alloc(1);
+	/* FIXME: If U is 0 we have no need to resize and thus possible
+	 * allocating the limbs.
+	 */
+	RESIZE_IF_NEEDED(w, 1);
+	w->d[0] = u;
+	w->nlimbs = u ? 1 : 0;
+	w->sign = 0;
+	w->flags = 0;
+	return w;
+}
+EXPORT_SYMBOL_GPL(mpi_set_ui);
+
+MPI mpi_alloc_set_ui(unsigned long u)
+{
+	MPI w = mpi_alloc(1);
+	w->d[0] = u;
+	w->nlimbs = u ? 1 : 0;
+	w->sign = 0;
+	return w;
+}
+
+/****************
+ * Swap the value of A and B, when SWAP is 1.
+ * Leave the value when SWAP is 0.
+ * This implementation should be constant-time regardless of SWAP.
+ */
+void mpi_swap_cond(MPI a, MPI b, unsigned long swap)
+{
+	mpi_size_t i;
+	mpi_size_t nlimbs;
+	mpi_limb_t mask = ((mpi_limb_t)0) - swap;
+	mpi_limb_t x;
+
+	if (a->alloced > b->alloced)
+		nlimbs = b->alloced;
+	else
+		nlimbs = a->alloced;
+	if (a->nlimbs > nlimbs || b->nlimbs > nlimbs)
+		return;
+
+	for (i = 0; i < nlimbs; i++) {
+		x = mask & (a->d[i] ^ b->d[i]);
+		a->d[i] = a->d[i] ^ x;
+		b->d[i] = b->d[i] ^ x;
+	}
+
+	x = mask & (a->nlimbs ^ b->nlimbs);
+	a->nlimbs = a->nlimbs ^ x;
+	b->nlimbs = b->nlimbs ^ x;
+
+	x = mask & (a->sign ^ b->sign);
+	a->sign = a->sign ^ x;
+	b->sign = b->sign ^ x;
+}
+
+MODULE_DESCRIPTION("Multiprecision maths library");
+MODULE_LICENSE("GPL");