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-rw-r--r--lib/mpi/Makefile22
-rw-r--r--lib/mpi/generic_mpih-add1.c61
-rw-r--r--lib/mpi/generic_mpih-lshift.c63
-rw-r--r--lib/mpi/generic_mpih-mul1.c57
-rw-r--r--lib/mpi/generic_mpih-mul2.c60
-rw-r--r--lib/mpi/generic_mpih-mul3.c61
-rw-r--r--lib/mpi/generic_mpih-rshift.c63
-rw-r--r--lib/mpi/generic_mpih-sub1.c60
-rw-r--r--lib/mpi/longlong.h1379
-rw-r--r--lib/mpi/mpi-bit.c56
-rw-r--r--lib/mpi/mpi-cmp.c68
-rw-r--r--lib/mpi/mpi-inline.h122
-rw-r--r--lib/mpi/mpi-internal.h257
-rw-r--r--lib/mpi/mpi-pow.c323
-rw-r--r--lib/mpi/mpicoder.c260
-rw-r--r--lib/mpi/mpih-cmp.c56
-rw-r--r--lib/mpi/mpih-div.c236
-rw-r--r--lib/mpi/mpih-mul.c497
-rw-r--r--lib/mpi/mpiutil.c126
19 files changed, 3827 insertions, 0 deletions
diff --git a/lib/mpi/Makefile b/lib/mpi/Makefile
new file mode 100644
index 000000000..019a68c90
--- /dev/null
+++ b/lib/mpi/Makefile
@@ -0,0 +1,22 @@
+#
+# 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 \
+ mpicoder.o \
+ mpi-bit.o \
+ mpi-cmp.o \
+ mpih-cmp.o \
+ mpih-div.o \
+ mpih-mul.o \
+ mpi-pow.o \
+ mpiutil.o
diff --git a/lib/mpi/generic_mpih-add1.c b/lib/mpi/generic_mpih-add1.c
new file mode 100644
index 000000000..c94c7dd34
--- /dev/null
+++ b/lib/mpi/generic_mpih-add1.c
@@ -0,0 +1,61 @@
+/* mpihelp-add_1.c - MPI helper functions
+ * Copyright (C) 1994, 1996, 1997, 1998,
+ * 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
+ *
+ * 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..863189272
--- /dev/null
+++ b/lib/mpi/generic_mpih-lshift.c
@@ -0,0 +1,63 @@
+/* mpihelp-lshift.c - MPI helper functions
+ * Copyright (C) 1994, 1996, 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"
+
+/* 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..1668dfd90
--- /dev/null
+++ b/lib/mpi/generic_mpih-mul1.c
@@ -0,0 +1,57 @@
+/* mpihelp-mul_1.c - MPI helper functions
+ * Copyright (C) 1994, 1996, 1997, 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"
+#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..8a7b29ee1
--- /dev/null
+++ b/lib/mpi/generic_mpih-mul2.c
@@ -0,0 +1,60 @@
+/* mpihelp-mul_2.c - MPI helper functions
+ * Copyright (C) 1994, 1996, 1997, 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"
+#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..f96df327b
--- /dev/null
+++ b/lib/mpi/generic_mpih-mul3.c
@@ -0,0 +1,61 @@
+/* mpihelp-mul_3.c - MPI helper functions
+ * Copyright (C) 1994, 1996, 1997, 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"
+#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..ffa328818
--- /dev/null
+++ b/lib/mpi/generic_mpih-rshift.c
@@ -0,0 +1,63 @@
+/* mpih-rshift.c - MPI helper functions
+ * Copyright (C) 1994, 1996, 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 "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..5d98ab7d6
--- /dev/null
+++ b/lib/mpi/generic_mpih-sub1.c
@@ -0,0 +1,60 @@
+/* mpihelp-add_2.c - MPI helper functions
+ * Copyright (C) 1994, 1996, 1997, 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"
+#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..a89d04159
--- /dev/null
+++ b/lib/mpi/longlong.h
@@ -0,0 +1,1379 @@
+/* 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 <asm-generic/bitops/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, multipler, multiplicand) multiplies two
+ * UWtype integers MULTIPLER 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" ((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__ ("subs %1, %4, %5\n" \
+ "sbc %0, %2, %3" \
+ : "=r" ((USItype)(sh)), \
+ "=&r" ((USItype)(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" ((USItype)(xh)), \
+ "=r" ((USItype)(xl)) \
+ : "r" ((USItype)(a)), \
+ "r" ((USItype)(b)) \
+ : "r0", "r1", "r2")
+#else
+#define umul_ppmm(xh, xl, a, b) \
+ __asm__ ("%@ Inlined umul_ppmm\n" \
+ "umull %r1, %r0, %r2, %r3" \
+ : "=&r" ((USItype)(xh)), \
+ "=r" ((USItype)(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" ((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__ ("subl %5,%1\n" \
+ "sbbl %3,%0" \
+ : "=r" ((USItype)(sh)), \
+ "=&r" ((USItype)(sl)) \
+ : "0" ((USItype)(ah)), \
+ "g" ((USItype)(bh)), \
+ "1" ((USItype)(al)), \
+ "g" ((USItype)(bl)))
+#define umul_ppmm(w1, w0, u, v) \
+ __asm__ ("mull %3" \
+ : "=a" ((USItype)(w0)), \
+ "=d" ((USItype)(w1)) \
+ : "%0" ((USItype)(u)), \
+ "rm" ((USItype)(v)))
+#define udiv_qrnnd(q, r, n1, n0, d) \
+ __asm__ ("divl %4" \
+ : "=a" ((USItype)(q)), \
+ "=d" ((USItype)(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
+#if (__GNUC__ >= 5) || (__GNUC__ >= 4 && __GNUC_MINOR__ >= 4)
+#define umul_ppmm(w1, w0, u, v) \
+do { \
+ UDItype __ll = (UDItype)(u) * (v); \
+ w1 = __ll >> 32; \
+ w0 = __ll; \
+} while (0)
+#elif __GNUC__ > 2 || __GNUC_MINOR__ >= 7
+#define umul_ppmm(w1, w0, u, v) \
+ __asm__ ("multu %2,%3" \
+ : "=l" ((USItype)(w0)), \
+ "=h" ((USItype)(w1)) \
+ : "d" ((USItype)(u)), \
+ "d" ((USItype)(v)))
+#else
+#define umul_ppmm(w1, w0, u, v) \
+ __asm__ ("multu %2,%3\n" \
+ "mflo %0\n" \
+ "mfhi %1" \
+ : "=d" ((USItype)(w0)), \
+ "=d" ((USItype)(w1)) \
+ : "d" ((USItype)(u)), \
+ "d" ((USItype)(v)))
+#endif
+#define UMUL_TIME 10
+#define UDIV_TIME 100
+#endif /* __mips__ */
+
+/***************************************
+ ************** MIPS/64 **************
+ ***************************************/
+#if (defined(__mips) && __mips >= 3) && W_TYPE_SIZE == 64
+#if (__GNUC__ >= 5) || (__GNUC__ >= 4 && __GNUC_MINOR__ >= 4)
+#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)
+#elif __GNUC__ > 2 || __GNUC_MINOR__ >= 7
+#define umul_ppmm(w1, w0, u, v) \
+ __asm__ ("dmultu %2,%3" \
+ : "=l" ((UDItype)(w0)), \
+ "=h" ((UDItype)(w1)) \
+ : "d" ((UDItype)(u)), \
+ "d" ((UDItype)(v)))
+#else
+#define umul_ppmm(w1, w0, u, v) \
+ __asm__ ("dmultu %2,%3\n" \
+ "mflo %0\n" \
+ "mfhi %1" \
+ : "=d" ((UDItype)(w0)), \
+ "=d" ((UDItype)(w1)) \
+ : "d" ((UDItype)(u)), \
+ "d" ((UDItype)(v)))
+#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" ((USItype)(sh)), \
+ "=&r" ((USItype)(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" ((USItype)(sh)), \
+ "=&r" ((USItype)(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" ((USItype)(sh)), \
+ "=&r" ((USItype)(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" ((USItype)(sh)), \
+ "=&r" ((USItype)(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" ((USItype)(sh)), \
+ "=&r" ((USItype)(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" ((USItype)(sh)), \
+ "=&r" ((USItype)(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" ((USItype)(sh)), \
+ "=&r" ((USItype)(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" ((USItype)(sh)), \
+ "=&r" ((USItype)(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" ((USItype) 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-bit.c b/lib/mpi/mpi-bit.c
new file mode 100644
index 000000000..503537e08
--- /dev/null
+++ b/lib/mpi/mpi-bit.c
@@ -0,0 +1,56 @@
+/* mpi-bit.c - MPI bit level fucntions
+ * 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--)
+ ;
+}
+
+/****************
+ * 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);
diff --git a/lib/mpi/mpi-cmp.c b/lib/mpi/mpi-cmp.c
new file mode 100644
index 000000000..d25e9e96c
--- /dev/null
+++ b/lib/mpi/mpi-cmp.c
@@ -0,0 +1,68 @@
+/* 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;
+}
+EXPORT_SYMBOL_GPL(mpi_cmp_ui);
+
+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 (u->sign)
+ return -cmp;
+ return cmp;
+}
+EXPORT_SYMBOL_GPL(mpi_cmp);
diff --git a/lib/mpi/mpi-inline.h b/lib/mpi/mpi-inline.h
new file mode 100644
index 000000000..e2b39852b
--- /dev/null
+++ b/lib/mpi/mpi-inline.h
@@ -0,0 +1,122 @@
+/* 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.
+ *
+ * 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.
+ */
+
+#ifndef G10_MPI_INLINE_H
+#define G10_MPI_INLINE_H
+
+#ifndef G10_MPI_INLINE_DECL
+#define G10_MPI_INLINE_DECL extern 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..c65dd1bff
--- /dev/null
+++ b/lib/mpi/mpi-internal.h
@@ -0,0 +1,257 @@
+/* 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.
+ *
+ * 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.
+ */
+
+#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) */
+
+static inline int RESIZE_IF_NEEDED(MPI a, unsigned b)
+{
+ if (a->alloced < b)
+ return mpi_resize(a, b);
+ return 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_NORMALIZE_NOT_ZERO(d, n) \
+ do { \
+ for (;;) { \
+ 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 _q, _ql, _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);
+
+/*-- mpi-bit.c --*/
+void mpi_rshift_limbs(MPI a, unsigned int count);
+int mpi_lshift_limbs(MPI a, unsigned int count);
+
+/*-- mpihelp-add.c --*/
+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);
+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);
+
+/*-- mpihelp-sub.c --*/
+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);
+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);
+
+/*-- mpihelp-cmp.c --*/
+int mpihelp_cmp(mpi_ptr_t op1_ptr, mpi_ptr_t op2_ptr, mpi_size_t size);
+
+/*-- mpihelp-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_n(mpi_ptr_t prodp, mpi_ptr_t up, mpi_ptr_t vp, mpi_size_t size);
+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);
+
+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);
+
+/*-- mpihelp-mul_1.c (or xxx/cpu/ *.S) --*/
+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);
+
+/*-- mpihelp-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);
+
+/*-- mpihelp-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-pow.c b/lib/mpi/mpi-pow.c
new file mode 100644
index 000000000..5464c8744
--- /dev/null
+++ b/lib/mpi/mpi-pow.c
@@ -0,0 +1,323 @@
+/* mpi-pow.c - MPI functions
+ * Copyright (C) 1994, 1996, 1998, 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
+ *
+ * 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"
+
+/****************
+ * 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;
+ 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 esign, 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;
+ esign = exp->sign;
+ 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. */
+ rp[0] = 1;
+ res->nlimbs = (msize == 1 && mod->d[0] == 1) ? 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;
+ struct karatsuba_ctx karactx;
+
+ xp = xp_marker = mpi_alloc_limb_space(2 * (msize + 1));
+ if (!xp)
+ goto enomem;
+
+ memset(&karactx, 0, sizeof karactx);
+ 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--;
+ }
+
+ 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);
+
+ mpihelp_release_karatsuba_ctx(&karactx);
+ }
+
+ 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:
+ 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/mpicoder.c b/lib/mpi/mpicoder.c
new file mode 100644
index 000000000..4cc644273
--- /dev/null
+++ b/lib/mpi/mpicoder.c
@@ -0,0 +1,260 @@
+/* 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 <asm-generic/bitops/count_zeros.h>
+#include "mpi-internal.h"
+
+#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]);
+ else
+ nbits = 0;
+
+ 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;
+ int i, j;
+ unsigned nbits, nbytes, nlimbs, nread = 0;
+ mpi_limb_t a;
+ MPI val = NULL;
+
+ if (*ret_nread < 2)
+ goto leave;
+ nbits = buffer[0] << 8 | buffer[1];
+
+ if (nbits > MAX_EXTERN_MPI_BITS) {
+ pr_info("MPI: mpi too large (%u bits)\n", nbits);
+ goto leave;
+ }
+ buffer += 2;
+ nread = 2;
+
+ nbytes = DIV_ROUND_UP(nbits, 8);
+ nlimbs = DIV_ROUND_UP(nbytes, BYTES_PER_MPI_LIMB);
+ val = mpi_alloc(nlimbs);
+ if (!val)
+ return NULL;
+ i = BYTES_PER_MPI_LIMB - nbytes % BYTES_PER_MPI_LIMB;
+ i %= BYTES_PER_MPI_LIMB;
+ val->nbits = nbits;
+ j = val->nlimbs = nlimbs;
+ val->sign = 0;
+ for (; j > 0; j--) {
+ a = 0;
+ for (; i < BYTES_PER_MPI_LIMB; i++) {
+ if (++nread > *ret_nread) {
+ printk
+ ("MPI: mpi larger than buffer nread=%d ret_nread=%d\n",
+ nread, *ret_nread);
+ goto leave;
+ }
+ a <<= 8;
+ a |= *buffer++;
+ }
+ i = 0;
+ val->d[j - 1] = a;
+ }
+
+leave:
+ *ret_nread = nread;
+ return val;
+}
+EXPORT_SYMBOL_GPL(mpi_read_from_buffer);
+
+/****************
+ * Return an allocated buffer with the MPI (msb first).
+ * NBYTES receives the length of this buffer. 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. If sign is not NULL, it will
+ * be set to the sign of the A.
+ */
+void *mpi_get_buffer(MPI a, unsigned *nbytes, int *sign)
+{
+ uint8_t *p, *buffer;
+ mpi_limb_t alimb;
+ int i;
+ unsigned int n;
+
+ if (sign)
+ *sign = a->sign;
+ *nbytes = n = a->nlimbs * BYTES_PER_MPI_LIMB;
+ if (!n)
+ n++; /* avoid zero length allocation */
+ p = buffer = kmalloc(n, GFP_KERNEL);
+ if (!p)
+ return NULL;
+
+ for (i = a->nlimbs - 1; i >= 0; i--) {
+ alimb = a->d[i];
+#if BYTES_PER_MPI_LIMB == 4
+ *p++ = alimb >> 24;
+ *p++ = alimb >> 16;
+ *p++ = alimb >> 8;
+ *p++ = alimb;
+#elif BYTES_PER_MPI_LIMB == 8
+ *p++ = alimb >> 56;
+ *p++ = alimb >> 48;
+ *p++ = alimb >> 40;
+ *p++ = alimb >> 32;
+ *p++ = alimb >> 24;
+ *p++ = alimb >> 16;
+ *p++ = alimb >> 8;
+ *p++ = alimb;
+#else
+#error please implement for this limb size.
+#endif
+ }
+
+ /* this is sub-optimal but we need to do the shift operation
+ * because the caller has to free the returned buffer */
+ for (p = buffer; !*p && *nbytes; p++, --*nbytes)
+ ;
+ if (p != buffer)
+ memmove(buffer, p, *nbytes);
+
+ return buffer;
+}
+EXPORT_SYMBOL_GPL(mpi_get_buffer);
+
+/****************
+ * Use BUFFER to update MPI.
+ */
+int mpi_set_buffer(MPI a, const void *xbuffer, unsigned nbytes, int sign)
+{
+ const uint8_t *buffer = xbuffer, *p;
+ mpi_limb_t alimb;
+ int nlimbs;
+ int i;
+
+ nlimbs = DIV_ROUND_UP(nbytes, BYTES_PER_MPI_LIMB);
+ if (RESIZE_IF_NEEDED(a, nlimbs) < 0)
+ return -ENOMEM;
+ a->sign = sign;
+
+ for (i = 0, p = buffer + nbytes - 1; p >= buffer + BYTES_PER_MPI_LIMB;) {
+#if BYTES_PER_MPI_LIMB == 4
+ alimb = (mpi_limb_t) *p--;
+ alimb |= (mpi_limb_t) *p-- << 8;
+ alimb |= (mpi_limb_t) *p-- << 16;
+ alimb |= (mpi_limb_t) *p-- << 24;
+#elif BYTES_PER_MPI_LIMB == 8
+ alimb = (mpi_limb_t) *p--;
+ alimb |= (mpi_limb_t) *p-- << 8;
+ alimb |= (mpi_limb_t) *p-- << 16;
+ alimb |= (mpi_limb_t) *p-- << 24;
+ alimb |= (mpi_limb_t) *p-- << 32;
+ alimb |= (mpi_limb_t) *p-- << 40;
+ alimb |= (mpi_limb_t) *p-- << 48;
+ alimb |= (mpi_limb_t) *p-- << 56;
+#else
+#error please implement for this limb size.
+#endif
+ a->d[i++] = alimb;
+ }
+ if (p >= buffer) {
+#if BYTES_PER_MPI_LIMB == 4
+ alimb = *p--;
+ if (p >= buffer)
+ alimb |= (mpi_limb_t) *p-- << 8;
+ if (p >= buffer)
+ alimb |= (mpi_limb_t) *p-- << 16;
+ if (p >= buffer)
+ alimb |= (mpi_limb_t) *p-- << 24;
+#elif BYTES_PER_MPI_LIMB == 8
+ alimb = (mpi_limb_t) *p--;
+ if (p >= buffer)
+ alimb |= (mpi_limb_t) *p-- << 8;
+ if (p >= buffer)
+ alimb |= (mpi_limb_t) *p-- << 16;
+ if (p >= buffer)
+ alimb |= (mpi_limb_t) *p-- << 24;
+ if (p >= buffer)
+ alimb |= (mpi_limb_t) *p-- << 32;
+ if (p >= buffer)
+ alimb |= (mpi_limb_t) *p-- << 40;
+ if (p >= buffer)
+ alimb |= (mpi_limb_t) *p-- << 48;
+ if (p >= buffer)
+ alimb |= (mpi_limb_t) *p-- << 56;
+#else
+#error please implement for this limb size.
+#endif
+ a->d[i++] = alimb;
+ }
+ a->nlimbs = i;
+
+ if (i != nlimbs) {
+ pr_emerg("MPI: mpi_set_buffer: Assertion failed (%d != %d)", i,
+ nlimbs);
+ BUG();
+ }
+ return 0;
+}
+EXPORT_SYMBOL_GPL(mpi_set_buffer);
diff --git a/lib/mpi/mpih-cmp.c b/lib/mpi/mpih-cmp.c
new file mode 100644
index 000000000..b2fd39677
--- /dev/null
+++ b/lib/mpi/mpih-cmp.c
@@ -0,0 +1,56 @@
+/* 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.
+ *
+ * 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"
+
+/****************
+ * 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..c57d1d462
--- /dev/null
+++ b/lib/mpi/mpih-div.c
@@ -0,0 +1,236 @@
+/* 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.
+ *
+ * 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"
+#include "longlong.h"
+
+#ifndef UMUL_TIME
+#define UMUL_TIME 1
+#endif
+#ifndef UDIV_TIME
+#define UDIV_TIME UMUL_TIME
+#endif
+
+/* 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;
+}
diff --git a/lib/mpi/mpih-mul.c b/lib/mpi/mpih-mul.c
new file mode 100644
index 000000000..7c841719f
--- /dev/null
+++ b/lib/mpi/mpih-mul.c
@@ -0,0 +1,497 @@
+/* mpihelp-mul.c - MPI helper functions
+ * Copyright (C) 1994, 1996, 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
+ *
+ * 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);
+ }
+}
+
+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..bf076d281
--- /dev/null
+++ b/lib/mpi/mpiutil.c
@@ -0,0 +1,126 @@
+/* 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"
+
+/****************
+ * 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 chnage 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(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 = kmalloc(nlimbs * sizeof(mpi_limb_t), GFP_KERNEL);
+ if (!p)
+ return -ENOMEM;
+ memcpy(p, a->d, a->alloced * sizeof(mpi_limb_t));
+ kfree(a->d);
+ a->d = p;
+ } else {
+ a->d = kzalloc(nlimbs * sizeof(mpi_limb_t), GFP_KERNEL);
+ if (!a->d)
+ return -ENOMEM;
+ }
+ a->alloced = nlimbs;
+ return 0;
+}
+
+void mpi_free(MPI a)
+{
+ if (!a)
+ return;
+
+ if (a->flags & 4)
+ kfree(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);
+
+MODULE_DESCRIPTION("Multiprecision maths library");
+MODULE_LICENSE("GPL");
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