@@ -40,21 +40,79 @@ struct gcry_mpi {
typedef struct gcry_mpi *MPI;
#define mpi_get_nlimbs(a) ((a)->nlimbs)
+#define mpi_has_sign(a) ((a)->sign)
/*-- mpiutil.c --*/
MPI mpi_alloc(unsigned nlimbs);
+void mpi_clear(MPI a);
void mpi_free(MPI a);
int mpi_resize(MPI a, unsigned nlimbs);
+static inline MPI mpi_new(unsigned int nbits)
+{
+ return mpi_alloc((nbits + BITS_PER_MPI_LIMB - 1) / BITS_PER_MPI_LIMB);
+}
+
+MPI mpi_copy(MPI a);
+MPI mpi_alloc_like(MPI a);
+void mpi_snatch(MPI w, MPI u);
+MPI mpi_set(MPI w, MPI u);
+MPI mpi_set_ui(MPI w, unsigned long u);
+MPI mpi_alloc_set_ui(unsigned long u);
+void mpi_swap_cond(MPI a, MPI b, unsigned long swap);
+
+/* Constants used to return constant MPIs. See mpi_init if you
+ * want to add more constants.
+ */
+#define MPI_NUMBER_OF_CONSTANTS 6
+enum gcry_mpi_constants {
+ MPI_C_ZERO,
+ MPI_C_ONE,
+ MPI_C_TWO,
+ MPI_C_THREE,
+ MPI_C_FOUR,
+ MPI_C_EIGHT
+};
+
+MPI mpi_const(enum gcry_mpi_constants no);
+
/*-- mpicoder.c --*/
+
+/* Different formats of external big integer representation. */
+enum gcry_mpi_format {
+ GCRYMPI_FMT_NONE = 0,
+ GCRYMPI_FMT_STD = 1, /* Twos complement stored without length. */
+ GCRYMPI_FMT_PGP = 2, /* As used by OpenPGP (unsigned only). */
+ GCRYMPI_FMT_SSH = 3, /* As used by SSH (like STD but with length). */
+ GCRYMPI_FMT_HEX = 4, /* Hex format. */
+ GCRYMPI_FMT_USG = 5, /* Like STD but unsigned. */
+ GCRYMPI_FMT_OPAQUE = 8 /* Opaque format (some functions only). */
+};
+
MPI mpi_read_raw_data(const void *xbuffer, size_t nbytes);
MPI mpi_read_from_buffer(const void *buffer, unsigned *ret_nread);
+int mpi_fromstr(MPI val, const char *str);
+MPI mpi_scanval(const char *string);
MPI mpi_read_raw_from_sgl(struct scatterlist *sgl, unsigned int len);
void *mpi_get_buffer(MPI a, unsigned *nbytes, int *sign);
int mpi_read_buffer(MPI a, uint8_t *buf, unsigned buf_len, unsigned *nbytes,
int *sign);
int mpi_write_to_sgl(MPI a, struct scatterlist *sg, unsigned nbytes,
int *sign);
+int mpi_print(enum gcry_mpi_format format, unsigned char *buffer,
+ size_t buflen, size_t *nwritten, MPI a);
+
+/*-- mpi-mod.c --*/
+void mpi_mod(MPI rem, MPI dividend, MPI divisor);
+
+/* Context used with Barrett reduction. */
+struct barrett_ctx_s;
+typedef struct barrett_ctx_s *mpi_barrett_t;
+
+mpi_barrett_t mpi_barrett_init(MPI m, int copy);
+void mpi_barrett_free(mpi_barrett_t ctx);
+void mpi_mod_barrett(MPI r, MPI x, mpi_barrett_t ctx);
+void mpi_mul_barrett(MPI w, MPI u, MPI v, mpi_barrett_t ctx);
/*-- mpi-pow.c --*/
int mpi_powm(MPI res, MPI base, MPI exp, MPI mod);
@@ -62,6 +120,7 @@ int mpi_powm(MPI res, MPI base, MPI exp, MPI mod);
/*-- mpi-cmp.c --*/
int mpi_cmp_ui(MPI u, ulong v);
int mpi_cmp(MPI u, MPI v);
+int mpi_cmpabs(MPI u, MPI v);
/*-- mpi-sub-ui.c --*/
int mpi_sub_ui(MPI w, MPI u, unsigned long vval);
@@ -69,6 +128,34 @@ int mpi_sub_ui(MPI w, MPI u, unsigned long vval);
/*-- mpi-bit.c --*/
void mpi_normalize(MPI a);
unsigned mpi_get_nbits(MPI a);
+int mpi_test_bit(MPI a, unsigned int n);
+void mpi_set_bit(MPI a, unsigned int n);
+void mpi_set_highbit(MPI a, unsigned int n);
+void mpi_clear_highbit(MPI a, unsigned int n);
+void mpi_clear_bit(MPI a, unsigned int n);
+void mpi_rshift_limbs(MPI a, unsigned int count);
+void mpi_rshift(MPI x, MPI a, unsigned int n);
+void mpi_lshift_limbs(MPI a, unsigned int count);
+void mpi_lshift(MPI x, MPI a, unsigned int n);
+
+/*-- mpi-add.c --*/
+void mpi_add_ui(MPI w, MPI u, unsigned long v);
+void mpi_add(MPI w, MPI u, MPI v);
+void mpi_sub(MPI w, MPI u, MPI v);
+void mpi_addm(MPI w, MPI u, MPI v, MPI m);
+void mpi_subm(MPI w, MPI u, MPI v, MPI m);
+
+/*-- mpi-mul.c --*/
+void mpi_mul(MPI w, MPI u, MPI v);
+void mpi_mulm(MPI w, MPI u, MPI v, MPI m);
+
+/*-- mpi-div.c --*/
+void mpi_tdiv_r(MPI rem, MPI num, MPI den);
+void mpi_fdiv_r(MPI rem, MPI dividend, MPI divisor);
+void mpi_fdiv_q(MPI quot, MPI dividend, MPI divisor);
+
+/*-- mpi-inv.c --*/
+int mpi_invm(MPI x, MPI a, MPI n);
/* inline functions */
@@ -14,9 +14,14 @@ mpi-y = \
generic_mpih-sub1.o \
generic_mpih-add1.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 \
new file mode 100644
@@ -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);
+}
+
+
+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);
@@ -32,6 +32,7 @@ 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.
@@ -54,3 +55,253 @@ unsigned mpi_get_nbits(MPI a)
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);
+}
+
+/****************
+ * 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);
+}
@@ -41,28 +41,54 @@ int mpi_cmp_ui(MPI u, unsigned long v)
}
EXPORT_SYMBOL_GPL(mpi_cmp_ui);
-int mpi_cmp(MPI u, MPI v)
+static int do_mpi_cmp(MPI u, MPI v, int absmode)
{
- mpi_size_t usize, vsize;
+ 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;
- if (!u->sign && v->sign)
+ usign = absmode ? 0 : u->sign;
+ vsign = absmode ? 0 : v->sign;
+
+ /* Compare sign bits. */
+
+ if (!usign && vsign)
return 1;
- if (u->sign && !v->sign)
+ if (usign && !vsign)
return -1;
- if (usize != vsize && !u->sign && !v->sign)
+
+ /* U and V are either both positive or both negative. */
+
+ if (usize != vsize && !usign && !vsign)
return usize - vsize;
- if (usize != vsize && u->sign && v->sign)
- return vsize - usize;
+ if (usize != vsize && usign && vsign)
+ return vsize + usize;
if (!usize)
return 0;
cmp = mpihelp_cmp(u->d, v->d, usize);
- if (u->sign)
- return -cmp;
- return cmp;
+ 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);
new file mode 100644
@@ -0,0 +1,238 @@
+/* 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];
+ unsigned int marker_nlimbs[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. */
+ marker_nlimbs[markidx] = nsize;
+ 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.
+ */
+ marker_nlimbs[markidx] = dsize;
+ 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;
+
+ marker_nlimbs[markidx] = dsize;
+ 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]);
+ }
+}
@@ -52,6 +52,12 @@
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 { \
@@ -60,6 +66,14 @@ typedef int mpi_size_t; /* (must be a signed type) */
(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; \
@@ -92,6 +106,38 @@ typedef int mpi_size_t; /* (must be a signed type) */
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; \
+ 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);
@@ -135,6 +181,8 @@ int mpihelp_mul(mpi_ptr_t prodp, mpi_ptr_t up, mpi_size_t usize,
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,
@@ -146,9 +194,14 @@ 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,
new file mode 100644
@@ -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);
new file mode 100644
@@ -0,0 +1,155 @@
+/* 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 (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);
+}
new file mode 100644
@@ -0,0 +1,94 @@
+/* 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;
+ unsigned int tmp_limb_nlimbs = 0;
+
+ 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. */
+ tmp_limb_nlimbs = usize;
+ 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. */
+ tmp_limb_nlimbs = vsize;
+ 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);
+}
+
+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);
@@ -25,6 +25,7 @@
#include <linux/string.h>
#include "mpi-internal.h"
+#define MAX_EXTERN_SCAN_BYTES (16*1024*1024)
#define MAX_EXTERN_MPI_BITS 16384
/**
@@ -109,6 +110,112 @@ MPI mpi_read_from_buffer(const void *xbuffer, unsigned *ret_nread)
}
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;
@@ -413,3 +520,232 @@ MPI mpi_read_raw_from_sgl(struct scatterlist *sgl, unsigned int nbytes)
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);
@@ -24,6 +24,150 @@
#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;
+
+ /* 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
@@ -221,3 +365,153 @@ mpihelp_divrem(mpi_ptr_t qp, mpi_size_t qextra_limbs,
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;
+
+ 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;
+ }
+}
@@ -317,6 +317,31 @@ 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)
+{
+ 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,
@@ -20,6 +20,63 @@
#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
@@ -106,6 +163,15 @@ int mpi_resize(MPI a, unsigned 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)
@@ -122,5 +188,143 @@ void mpi_free(MPI 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 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");