Revert "crypto: GnuPG based MPI lib - additional sources (part 4)"

This reverts commit 7e8dec91.

RSA verification implementation does not use this code.
James Morris has asked to remove that.
Signed-off-by: NDmitry Kasatkin <dmitry.kasatkin@intel.com>
Requested-by: NJames Morris <james.l.morris@oracle.com>
Signed-off-by: NJames Morris <james.l.morris@oracle.com>

lib/Kconfig

@@ -361,14 +361,6 @@ config MPILIB
 	  It is used to implement RSA digital signature verification,
 	  which is used by IMA/EVM digital signature extension.
 
-config MPILIB_EXTRA
-	bool
-	depends on MPILIB
-	help
-	  Additional sources of multiprecision maths library from GnuPG.
-	  This code is unnecessary for RSA digital signature verification,
-	  but can be compiled if needed.
-
 config SIGNATURE
 	tristate
 	depends on KEYS && CRYPTO

lib/mpi/Makefile

@@ -19,14 +19,3 @@ mpi-y = \
 	mpih-mul.o			\
 	mpi-pow.o			\
 	mpiutil.o
-
-mpi-$(CONFIG_MPILIB_EXTRA) += \
-	mpi-add.o			\
-	mpi-div.o			\
-	mpi-cmp.o			\
-	mpi-gcd.o			\
-	mpi-inline.o			\
-	mpi-inv.o			\
-	mpi-mpow.o			\
-	mpi-mul.o			\
-	mpi-scan.o

lib/mpi/generic_mpi-asm-defs.h

-/* This file defines some basic constants for the MPI machinery.  We
- * need to define the types on a per-CPU basis, so it is done with
- * this file here.  */
-#define BYTES_PER_MPI_LIMB  (SIZEOF_UNSIGNED_LONG)

lib/mpi/mpi-add.c

-/* mpi-add.c  -  MPI functions
- *	Copyright (C) 1998, 1999, 2000, 2001 Free Software Foundation, Inc.
- *	Copyright (C) 1994, 1996 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
- *
- * 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"
-
-/****************
- * Add the unsigned integer V to the mpi-integer U and store the
- * result in W. U and V may be the same.
- */
-int mpi_add_ui(MPI w, const 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)
-		if (mpi_resize(w, wsize) < 0)
-			return -ENOMEM;
-
-	/* 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;
-	return 0;
-}
-
-int 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;
-		if (RESIZE_IF_NEEDED(w, wsize) < 0)
-			return -ENOMEM;
-		/* 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;
-		if (RESIZE_IF_NEEDED(w, wsize) < 0)
-			return -ENOMEM;
-		/* 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;
-	return 0;
-}
-
-/****************
- * Subtract the unsigned integer V from the mpi-integer U and store the
- * result in W.
- */
-int mpi_sub_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)
-		if (mpi_resize(w, wsize) < 0)
-			return -ENOMEM;
-
-	/* 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;
-		wsign = 1;
-	} else if (usign) {	/* mpi and v are 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;
-			wsign = 1;
-		} else {
-			mpihelp_sub_1(wp, up, usize, v);
-			/* Size can decrease with at most one limb. */
-			wsize = usize - (wp[usize - 1] == 0);
-		}
-	}
-
-	w->nlimbs = wsize;
-	w->sign = wsign;
-	return 0;
-}
-
-int mpi_sub(MPI w, MPI u, MPI v)
-{
-	int rc;
-
-	if (w == v) {
-		MPI vv;
-		if (mpi_copy(&vv, v) < 0)
-			return -ENOMEM;
-		vv->sign = !vv->sign;
-		rc = mpi_add(w, u, vv);
-		mpi_free(vv);
-	} else {
-		/* fixme: this is not thread-save (we temp. modify v) */
-		v->sign = !v->sign;
-		rc = mpi_add(w, u, v);
-		v->sign = !v->sign;
-	}
-	return rc;
-}
-
-int mpi_addm(MPI w, MPI u, MPI v, MPI m)
-{
-	if (mpi_add(w, u, v) < 0 || mpi_fdiv_r(w, w, m) < 0)
-		return -ENOMEM;
-	return 0;
-}
-
-int mpi_subm(MPI w, MPI u, MPI v, MPI m)
-{
-	if (mpi_sub(w, u, v) < 0 || mpi_fdiv_r(w, w, m) < 0)
-		return -ENOMEM;
-	return 0;
-}

lib/mpi/mpi-cmp.c

-/* 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 && !limb)
-		return 0;
-	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;
-}
-
-int mpi_cmp(MPI u, MPI v)
-{
-	mpi_size_t usize, vsize;
-	int cmp;
-
-	mpi_normalize(u);
-	mpi_normalize(v);
-	usize = u->nlimbs;
-	vsize = v->nlimbs;
-	if (!u->sign && v->sign)
-		return 1;
-	if (u->sign && !v->sign)
-		return -1;
-	if (usize != vsize && !u->sign && !v->sign)
-		return usize - vsize;
-	if (usize != vsize && u->sign && v->sign)
-		return vsize + usize;
-	if (!usize)
-		return 0;
-	cmp = mpihelp_cmp(u->d, v->d, usize);
-	if (!cmp)
-		return 0;
-	if ((cmp < 0 ? 1 : 0) == (u->sign ? 1 : 0))
-		return 1;
-	return -1;
-}

lib/mpi/mpi-div.c

-/* mpi-div.c  -  MPI 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.
- *
- * 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
- *
- * 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"
-
-int mpi_fdiv_r(MPI rem, MPI dividend, MPI divisor)
-{
-	int rc = -ENOMEM;
-	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) {
-		if (mpi_copy(&temp_divisor, divisor) < 0)
-			goto nomem;
-		divisor = temp_divisor;
-	}
-
-	if (mpi_tdiv_qr(NULL, rem, dividend, divisor) < 0)
-		goto nomem;
-	if (((divisor_sign ? 1 : 0) ^ (dividend->sign ? 1 : 0)) && rem->nlimbs)
-		if (mpi_add(rem, rem, divisor) < 0)
-			goto nomem;
-
-	rc = 0;
-
-nomem:
-	if (temp_divisor)
-		mpi_free(temp_divisor);
-	return rc;
-}
-
-/****************
- * Division rounding the quotient towards -infinity.
- * The remainder gets the same sign as the denominator.
- * rem is optional
- */
-
-ulong mpi_fdiv_r_ui(MPI rem, MPI dividend, ulong divisor)
-{
-	mpi_limb_t rlimb;
-
-	rlimb = mpihelp_mod_1(dividend->d, dividend->nlimbs, divisor);
-	if (rlimb && dividend->sign)
-		rlimb = divisor - rlimb;
-
-	if (rem) {
-		rem->d[0] = rlimb;
-		rem->nlimbs = rlimb ? 1 : 0;
-	}
-	return rlimb;
-}
-
-int mpi_fdiv_q(MPI quot, MPI dividend, MPI divisor)
-{
-	MPI tmp = mpi_alloc(mpi_get_nlimbs(quot));
-	if (!tmp)
-		return -ENOMEM;
-	mpi_fdiv_qr(quot, tmp, dividend, divisor);
-	mpi_free(tmp);
-	return 0;
-}
-
-int 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) {
-		if (mpi_copy(&temp_divisor, divisor) < 0)
-			return -ENOMEM;
-		divisor = temp_divisor;
-	}
-
-	if (mpi_tdiv_qr(quot, rem, dividend, divisor) < 0)
-		goto nomem;
-
-	if ((divisor_sign ^ dividend->sign) && rem->nlimbs) {
-		if (mpi_sub_ui(quot, quot, 1) < 0)
-			goto nomem;
-		if (mpi_add(rem, rem, divisor) < 0)
-			goto nomem;
-	}
-
-	if (temp_divisor)
-		mpi_free(temp_divisor);
-
-	return 0;
-
-nomem:
-	mpi_free(temp_divisor);
-	return -ENOMEM;
-}
-
-/* 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.
- */
-
-int mpi_tdiv_r(MPI rem, MPI num, MPI den)
-{
-	return mpi_tdiv_qr(NULL, rem, num, den);
-}
-
-int mpi_tdiv_qr(MPI quot, MPI rem, MPI num, MPI den)
-{
-	int rc = -ENOMEM;
-	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 normalization_steps;
-	mpi_limb_t q_limb;
-	mpi_ptr_t marker[5];
-	int markidx = 0;
-
-	if (!dsize)
-		return -EINVAL;
-
-	memset(marker, 0, sizeof(marker));
-
-	/* 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;
-	if (mpi_resize(rem, rsize) < 0)
-		goto nomem;
-
-	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 0;
-	}
-
-	if (quot)
-		if (mpi_resize(quot, qsize) < 0)
-			goto nomem;
-
-	/* 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 0;
-	}
-
-	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);
-			if (!np)
-				goto nomem;
-			MPN_COPY(np, qp, nsize);
-		}
-	} else			/* Put quotient at top of remainder. */
-		qp = rp + dsize;
-
-	count_leading_zeros(normalization_steps, 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);
-		if (!tp)
-			goto nomem;
-		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);
-			if (!tp)
-				goto nomem;
-			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;
-
-	rc = 0;
-nomem:
-	while (markidx)
-		mpi_free_limb_space(marker[--markidx]);
-	return rc;
-}
-
-int mpi_tdiv_q_2exp(MPI w, MPI u, unsigned count)
-{
-	mpi_size_t usize, wsize;
-	mpi_size_t limb_cnt;
-
-	usize = u->nlimbs;
-	limb_cnt = count / BITS_PER_MPI_LIMB;
-	wsize = usize - limb_cnt;
-	if (limb_cnt >= usize)
-		w->nlimbs = 0;
-	else {
-		mpi_ptr_t wp;
-		mpi_ptr_t up;
-
-		if (RESIZE_IF_NEEDED(w, wsize) < 0)
-			return -ENOMEM;
-		wp = w->d;
-		up = u->d;
-
-		count %= BITS_PER_MPI_LIMB;
-		if (count) {
-			mpihelp_rshift(wp, up + limb_cnt, wsize, count);
-			wsize -= !wp[wsize - 1];
-		} else {
-			MPN_COPY_INCR(wp, up + limb_cnt, wsize);
-		}
-
-		w->nlimbs = wsize;
-	}
-	return 0;
-}
-
-/****************
- * Check whether dividend is divisible by divisor
- * (note: divisor must fit into a limb)
- */
-int mpi_divisible_ui(MPI dividend, ulong divisor)
-{
-	return !mpihelp_mod_1(dividend->d, dividend->nlimbs, divisor);
-}

lib/mpi/mpi-gcd.c

-/* mpi-gcd.c  -  MPI functions
- * Copyright (C) 1998, 1999, 2000, 2001 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"
-
-/****************
- * Find the greatest common divisor G of A and B.
- * Return: true if this 1, false in all other cases
- */
-int mpi_gcd(MPI g, const MPI xa, const MPI xb)
-{
-	MPI a = NULL, b = NULL;
-
-	if (mpi_copy(&a, xa) < 0)
-		goto nomem;
-
-	if (mpi_copy(&b, xb) < 0)
-		goto nomem;
-
-	/* TAOCP Vol II, 4.5.2, Algorithm A */
-	a->sign = 0;
-	b->sign = 0;
-	while (mpi_cmp_ui(b, 0)) {
-		if (mpi_fdiv_r(g, a, b) < 0)	/* g used as temorary variable */
-			goto nomem;
-		if (mpi_set(a, b) < 0)
-			goto nomem;
-		if (mpi_set(b, g) < 0)
-			goto nomem;
-	}
-	if (mpi_set(g, a) < 0)
-		goto nomem;
-
-	mpi_free(a);
-	mpi_free(b);
-	return !mpi_cmp_ui(g, 1);
-
-nomem:
-	mpi_free(a);
-	mpi_free(b);
-	return -ENOMEM;
-}

lib/mpi/mpi-inline.c

-/* mpi-inline.c
- * Copyright (C) 1999, 2000, 2001 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
- */
-
-/* put the inline functions as real functions into the lib */
-#define G10_MPI_INLINE_DECL
-
-#include "mpi-internal.h"
-
-/* always include the header becuase it is only
- * included by mpi-internal if __GCC__ is defined but we
- * need it here in all cases and the above definition of
- * of the macro allows us to do so
- */
-#include "mpi-inline.h"

lib/mpi/mpi-inv.c

-/* mpi-inv.c  -  MPI functions
- * Copyright (C) 1998, 1999, 2000, 2001 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"
-
-/****************
- * 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, const MPI a, const MPI n)
-{
-	/* Extended Euclid's algorithm (See TAOPC Vol II, 4.5.2, Alg X)
-	 * modified according to Michael Penk's solution for Exercice 35
-	 * with further enhancement */
-	MPI u = NULL, v = NULL;
-	MPI u1 = NULL, u2 = NULL, u3 = NULL;
-	MPI v1 = NULL, v2 = NULL, v3 = NULL;
-	MPI t1 = NULL, t2 = NULL, t3 = NULL;
-	unsigned k;
-	int sign;
-	int odd = 0;
-	int rc = -ENOMEM;
-
-	if (mpi_copy(&u, a) < 0)
-		goto cleanup;
-	if (mpi_copy(&v, n) < 0)
-		goto cleanup;
-
-	for (k = 0; !mpi_test_bit(u, 0) && !mpi_test_bit(v, 0); k++) {
-		if (mpi_rshift(u, u, 1) < 0)
-			goto cleanup;
-		if (mpi_rshift(v, v, 1) < 0)
-			goto cleanup;
-	}
-	odd = mpi_test_bit(v, 0);
-
-	u1 = mpi_alloc_set_ui(1);
-	if (!u1)
-		goto cleanup;
-	if (!odd) {
-		u2 = mpi_alloc_set_ui(0);
-		if (!u2)
-			goto cleanup;
-	}
-	if (mpi_copy(&u3, u) < 0)
-		goto cleanup;
-	if (mpi_copy(&v1, v) < 0)
-		goto cleanup;
-	if (!odd) {
-		v2 = mpi_alloc(mpi_get_nlimbs(u));
-		if (!v2)
-			goto cleanup;
-		if (mpi_sub(v2, u1, u) < 0)
-			goto cleanup;	/* U is used as const 1 */
-	}
-	if (mpi_copy(&v3, v) < 0)
-		goto cleanup;
-	if (mpi_test_bit(u, 0)) {	/* u is odd */
-		t1 = mpi_alloc_set_ui(0);
-		if (!t1)
-			goto cleanup;
-		if (!odd) {
-			t2 = mpi_alloc_set_ui(1);
-			if (!t2)
-				goto cleanup;
-			t2->sign = 1;
-		}
-		if (mpi_copy(&t3, v) < 0)
-			goto cleanup;
-		t3->sign = !t3->sign;
-		goto Y4;
-	} else {
-		t1 = mpi_alloc_set_ui(1);
-		if (!t1)
-			goto cleanup;
-		if (!odd) {
-			t2 = mpi_alloc_set_ui(0);
-			if (!t2)
-				goto cleanup;
-		}
-		if (mpi_copy(&t3, u) < 0)
-			goto cleanup;
-	}
-	do {
-		do {
-			if (!odd) {
-				if (mpi_test_bit(t1, 0) || mpi_test_bit(t2, 0)) {	/* one is odd */
-					if (mpi_add(t1, t1, v) < 0)
-						goto cleanup;
-					if (mpi_sub(t2, t2, u) < 0)
-						goto cleanup;
-				}
-				if (mpi_rshift(t1, t1, 1) < 0)
-					goto cleanup;
-				if (mpi_rshift(t2, t2, 1) < 0)
-					goto cleanup;
-				if (mpi_rshift(t3, t3, 1) < 0)
-					goto cleanup;
-			} else {
-				if (mpi_test_bit(t1, 0))
-					if (mpi_add(t1, t1, v) < 0)
-						goto cleanup;
-				if (mpi_rshift(t1, t1, 1) < 0)
-					goto cleanup;
-				if (mpi_rshift(t3, t3, 1) < 0)
-					goto cleanup;
-			}
-Y4:
-			;
-		} while (!mpi_test_bit(t3, 0));	/* while t3 is even */
-
-		if (!t3->sign) {
-			if (mpi_set(u1, t1) < 0)
-				goto cleanup;
-			if (!odd)
-				if (mpi_set(u2, t2) < 0)
-					goto cleanup;
-			if (mpi_set(u3, t3) < 0)
-				goto cleanup;
-		} else {
-			if (mpi_sub(v1, v, t1) < 0)
-				goto cleanup;
-			sign = u->sign;
-			u->sign = !u->sign;
-			if (!odd)
-				if (mpi_sub(v2, u, t2) < 0)
-					goto cleanup;
-			u->sign = sign;
-			sign = t3->sign;
-			t3->sign = !t3->sign;
-			if (mpi_set(v3, t3) < 0)
-				goto cleanup;
-			t3->sign = sign;
-		}
-		if (mpi_sub(t1, u1, v1) < 0)
-			goto cleanup;
-		if (!odd)
-			if (mpi_sub(t2, u2, v2) < 0)
-				goto cleanup;
-		if (mpi_sub(t3, u3, v3) < 0)
-			goto cleanup;
-		if (t1->sign) {
-			if (mpi_add(t1, t1, v) < 0)
-				goto cleanup;
-			if (!odd)
-				if (mpi_sub(t2, t2, u) < 0)
-					goto cleanup;
-		}
-	} while (mpi_cmp_ui(t3, 0));	/* while t3 != 0 */
-	/* mpi_lshift( u3, k ); */
-	rc = mpi_set(x, u1);
-
-cleanup:
-	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 rc;
-}

lib/mpi/mpi-mpow.c

-/* mpi-mpow.c  -  MPI functions
- * Copyright (C) 1998, 1999, 2000 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"
-
-static int build_index(const MPI *exparray, int k, int i, int t)
-{
-	int j, bitno;
-	int index = 0;
-
-	bitno = t - i;
-	for (j = k - 1; j >= 0; j--) {
-		index <<= 1;
-		if (mpi_test_bit(exparray[j], bitno))
-			index |= 1;
-	}
-	return index;
-}
-
-/****************
- * RES = (BASE[0] ^ EXP[0]) *  (BASE[1] ^ EXP[1]) * ... * mod M
- */
-int mpi_mulpowm(MPI res, MPI *basearray, MPI *exparray, MPI m)
-{
-	int rc = -ENOMEM;
-	int k;			/* number of elements */
-	int t;			/* bit size of largest exponent */
-	int i, j, idx;
-	MPI *G = NULL;		/* table with precomputed values of size 2^k */
-	MPI tmp = NULL;
-
-	for (k = 0; basearray[k]; k++)
-		;
-	if (!k) {
-		pr_emerg("mpi_mulpowm: assert(k) failed\n");
-		BUG();
-	}
-	for (t = 0, i = 0; (tmp = exparray[i]); i++) {
-		j = mpi_get_nbits(tmp);
-		if (j > t)
-			t = j;
-	}
-	if (i != k) {
-		pr_emerg("mpi_mulpowm: assert(i==k) failed\n");
-		BUG();
-	}
-	if (!t) {
-		pr_emerg("mpi_mulpowm: assert(t) failed\n");
-		BUG();
-	}
-	if (k >= 10) {
-		pr_emerg("mpi_mulpowm: assert(k<10) failed\n");
-		BUG();
-	}
-
-	G = kzalloc((1 << k) * sizeof *G, GFP_KERNEL);
-	if (!G)
-		goto err_out;
-
-	/* and calculate */
-	tmp = mpi_alloc(mpi_get_nlimbs(m) + 1);
-	if (!tmp)
-		goto nomem;
-	if (mpi_set_ui(res, 1) < 0)
-		goto nomem;
-	for (i = 1; i <= t; i++) {
-		if (mpi_mulm(tmp, res, res, m) < 0)
-			goto nomem;
-		idx = build_index(exparray, k, i, t);
-		if (!(idx >= 0 && idx < (1 << k))) {
-			pr_emerg("mpi_mulpowm: assert(idx >= 0 && idx < (1<<k)) failed\n");
-			BUG();
-		}
-		if (!G[idx]) {
-			if (!idx) {
-				G[0] = mpi_alloc_set_ui(1);
-				if (!G[0])
-					goto nomem;
-			} else {
-				for (j = 0; j < k; j++) {
-					if ((idx & (1 << j))) {
-						if (!G[idx]) {
-							if (mpi_copy
-							    (&G[idx],
-							     basearray[j]) < 0)
-								goto nomem;
-						} else {
-							if (mpi_mulm
-							    (G[idx], G[idx],
-							     basearray[j],
-							     m) < 0)
-								goto nomem;
-						}
-					}
-				}
-				if (!G[idx]) {
-					G[idx] = mpi_alloc(0);
-					if (!G[idx])
-						goto nomem;
-				}
-			}
-		}
-		if (mpi_mulm(res, tmp, G[idx], m) < 0)
-			goto nomem;
-	}
-
-	rc = 0;
-nomem:
-	/* cleanup */
-	mpi_free(tmp);
-	for (i = 0; i < (1 << k); i++)
-		mpi_free(G[i]);
-	kfree(G);
-err_out:
-	return rc;
-}

lib/mpi/mpi-mul.c

-/* mpi-mul.c  -  MPI functions
- *	Copyright (C) 1994, 1996 Free Software Foundation, Inc.
- *	Copyright (C) 1998, 2001 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
- *
- * 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"
-
-int mpi_mul_ui(MPI prod, MPI mult, unsigned long small_mult)
-{
-	mpi_size_t size, prod_size;
-	mpi_ptr_t prod_ptr;
-	mpi_limb_t cy;
-	int sign;
-
-	size = mult->nlimbs;
-	sign = mult->sign;
-
-	if (!size || !small_mult) {
-		prod->nlimbs = 0;
-		prod->sign = 0;
-		return 0;
-	}
-
-	prod_size = size + 1;
-	if (prod->alloced < prod_size)
-		if (mpi_resize(prod, prod_size) < 0)
-			return -ENOMEM;
-	prod_ptr = prod->d;
-
-	cy = mpihelp_mul_1(prod_ptr, mult->d, size, (mpi_limb_t) small_mult);
-	if (cy)
-		prod_ptr[size++] = cy;
-	prod->nlimbs = size;
-	prod->sign = sign;
-	return 0;
-}
-
-int mpi_mul_2exp(MPI w, MPI u, unsigned long cnt)
-{
-	mpi_size_t usize, wsize, limb_cnt;
-	mpi_ptr_t wp;
-	mpi_limb_t wlimb;
-	int usign, wsign;
-
-	usize = u->nlimbs;
-	usign = u->sign;
-
-	if (!usize) {
-		w->nlimbs = 0;
-		w->sign = 0;
-		return 0;
-	}
-
-	limb_cnt = cnt / BITS_PER_MPI_LIMB;
-	wsize = usize + limb_cnt + 1;
-	if (w->alloced < wsize)
-		if (mpi_resize(w, wsize) < 0)
-			return -ENOMEM;
-	wp = w->d;
-	wsize = usize + limb_cnt;
-	wsign = usign;
-
-	cnt %= BITS_PER_MPI_LIMB;
-	if (cnt) {
-		wlimb = mpihelp_lshift(wp + limb_cnt, u->d, usize, cnt);
-		if (wlimb) {
-			wp[wsize] = wlimb;
-			wsize++;
-		}
-	} else {
-		MPN_COPY_DECR(wp + limb_cnt, u->d, usize);
-	}
-
-	/* Zero all whole limbs at low end.  Do it here and not before calling
-	 * mpn_lshift, not to lose for U == W.  */
-	MPN_ZERO(wp, limb_cnt);
-
-	w->nlimbs = wsize;
-	w->sign = wsign;
-	return 0;
-}
-
-int mpi_mul(MPI w, MPI u, MPI v)
-{
-	int rc = -ENOMEM;
-	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 < (size_t) wsize) {
-		if (wp == up || wp == vp) {
-			wp = mpi_alloc_limb_space(wsize);
-			if (!wp)
-				goto nomem;
-			assign_wp = 1;
-		} else {
-			if (mpi_resize(w, wsize) < 0)
-				goto nomem;
-			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);
-			if (!up)
-				goto nomem;
-			/* 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);
-			if (!vp)
-				goto nomem;
-			/* Copy to the temporary space.  */
-			MPN_COPY(vp, wp, vsize);
-		}
-	}
-
-	if (!vsize)
-		wsize = 0;
-	else {
-		if (mpihelp_mul(wp, up, usize, vp, vsize, &cy) < 0)
-			goto nomem;
-		wsize -= cy ? 0 : 1;
-	}
-
-	if (assign_wp)
-		mpi_assign_limb_space(w, wp, wsize);
-
-	w->nlimbs = wsize;
-	w->sign = sign_product;
-	rc = 0;
-nomem:
-	if (tmp_limb)
-		mpi_free_limb_space(tmp_limb);
-	return rc;
-}
-
-int mpi_mulm(MPI w, MPI u, MPI v, MPI m)
-{
-	if (mpi_mul(w, u, v) < 0)
-		return -ENOMEM;
-	return mpi_fdiv_r(w, w, m);
-}

lib/mpi/mpi-scan.c

-/* mpi-scan.c  -  MPI functions
- * Copyright (C) 1998, 1999, 2000, 2001 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"
-
-/****************
- * Scan through an mpi and return byte for byte. a -1 is returned to indicate
- * the end of the mpi. Scanning is done from the lsb to the msb, returned
- * values are in the range of 0 .. 255.
- *
- * FIXME: This code is VERY ugly!
- */
-int mpi_getbyte(const MPI a, unsigned idx)
-{
-	int i, j;
-	unsigned n;
-	mpi_ptr_t ap;
-	mpi_limb_t limb;
-
-	ap = a->d;
-	for (n = 0, i = 0; i < a->nlimbs; i++) {
-		limb = ap[i];
-		for (j = 0; j < BYTES_PER_MPI_LIMB; j++, n++)
-			if (n == idx)
-				return (limb >> j * 8) & 0xff;
-	}
-	return -1;
-}
-
-/****************
- * Put a value at position IDX into A. idx counts from lsb to msb
- */
-void mpi_putbyte(MPI a, unsigned idx, int xc)
-{
-	int i, j;
-	unsigned n;
-	mpi_ptr_t ap;
-	mpi_limb_t limb, c;
-
-	c = xc & 0xff;
-	ap = a->d;
-	for (n = 0, i = 0; i < a->alloced; i++) {
-		limb = ap[i];
-		for (j = 0; j < BYTES_PER_MPI_LIMB; j++, n++)
-			if (n == idx) {
-#if BYTES_PER_MPI_LIMB == 4
-				if (j == 0)
-					limb = (limb & 0xffffff00) | c;
-				else if (j == 1)
-					limb = (limb & 0xffff00ff) | (c << 8);
-				else if (j == 2)
-					limb = (limb & 0xff00ffff) | (c << 16);
-				else
-					limb = (limb & 0x00ffffff) | (c << 24);
-#elif BYTES_PER_MPI_LIMB == 8
-				if (j == 0)
-					limb = (limb & 0xffffffffffffff00) | c;
-				else if (j == 1)
-					limb =
-					    (limb & 0xffffffffffff00ff) | (c <<
-									   8);
-				else if (j == 2)
-					limb =
-					    (limb & 0xffffffffff00ffff) | (c <<
-									   16);
-				else if (j == 3)
-					limb =
-					    (limb & 0xffffffff00ffffff) | (c <<
-									   24);
-				else if (j == 4)
-					limb =
-					    (limb & 0xffffff00ffffffff) | (c <<
-									   32);
-				else if (j == 5)
-					limb =
-					    (limb & 0xffff00ffffffffff) | (c <<
-									   40);
-				else if (j == 6)
-					limb =
-					    (limb & 0xff00ffffffffffff) | (c <<
-									   48);
-				else
-					limb =
-					    (limb & 0x00ffffffffffffff) | (c <<
-									   56);
-#else
-#error please enhance this function, its ugly - i know.
-#endif
-				if (a->nlimbs <= i)
-					a->nlimbs = i + 1;
-				ap[i] = limb;
-				return;
-			}
-	}
-	log_bug("index out of range\n");
-}
-
-/****************
- * Count the number of zerobits at the low end of A
- */
-unsigned mpi_trailing_zeros(const MPI a)
-{
-	unsigned n, count = 0;
-
-	for (n = 0; n < a->nlimbs; n++) {
-		if (a->d[n]) {
-			unsigned nn;
-			mpi_limb_t alimb = a->d[n];
-
-			count_trailing_zeros(nn, alimb);
-			count += nn;
-			break;
-		}
-		count += BITS_PER_MPI_LIMB;
-	}
-	return count;
-
-}