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Implement MPI multiplication.
This commit is contained in:
Dag-Erling Smørgrav
parent
5170c0bc41
commit
2a66f62078
5 changed files with 206 additions and 4 deletions
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@ -65,6 +65,8 @@ const char *cryb_mpi_version(void);
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#define mpi_lsb cryb_mpi_lsb
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#define mpi_lsb cryb_mpi_lsb
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#define mpi_lshift cryb_mpi_lshift
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#define mpi_lshift cryb_mpi_lshift
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#define mpi_msb cryb_mpi_msb
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#define mpi_msb cryb_mpi_msb
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#define mpi_mul cryb_mpi_mul
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#define mpi_mul_abs cryb_mpi_mul_abs
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#define mpi_negate cryb_mpi_negate
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#define mpi_negate cryb_mpi_negate
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#define mpi_rshift cryb_mpi_rshift
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#define mpi_rshift cryb_mpi_rshift
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#define mpi_set cryb_mpi_set
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#define mpi_set cryb_mpi_set
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@ -113,6 +115,8 @@ int mpi_load(cryb_mpi *, const uint8_t *, size_t);
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unsigned int mpi_lsb(const cryb_mpi *);
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unsigned int mpi_lsb(const cryb_mpi *);
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int mpi_lshift(cryb_mpi *, unsigned int);
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int mpi_lshift(cryb_mpi *, unsigned int);
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unsigned int mpi_msb(const cryb_mpi *);
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unsigned int mpi_msb(const cryb_mpi *);
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int mpi_mul(cryb_mpi *, const cryb_mpi *, const cryb_mpi *);
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int mpi_mul_abs(cryb_mpi *, const cryb_mpi *, const cryb_mpi *);
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void mpi_negate(cryb_mpi *);
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void mpi_negate(cryb_mpi *);
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int mpi_rshift(cryb_mpi *, unsigned int);
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int mpi_rshift(cryb_mpi *, unsigned int);
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int mpi_set(cryb_mpi *, int32_t);
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int mpi_set(cryb_mpi *, int32_t);
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@ -22,6 +22,8 @@ libcryb_mpi_la_SOURCES = \
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cryb_mpi_lsb.c \
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cryb_mpi_lsb.c \
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cryb_mpi_lshift.c \
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cryb_mpi_lshift.c \
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cryb_mpi_msb.c \
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cryb_mpi_msb.c \
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cryb_mpi_mul.c \
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cryb_mpi_mul_abs.c \
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cryb_mpi_negate.c \
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cryb_mpi_negate.c \
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cryb_mpi_rshift.c \
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cryb_mpi_rshift.c \
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cryb_mpi_set.c \
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cryb_mpi_set.c \
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54
lib/mpi/cryb_mpi_mul.c
Normal file
54
lib/mpi/cryb_mpi_mul.c
Normal file
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@ -0,0 +1,54 @@
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/*
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* Copyright (c) 2017 Dag-Erling Smørgrav
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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* 3. The name of the author may not be used to endorse or promote
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* products derived from this software without specific prior written
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* permission.
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*
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* THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
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* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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* SUCH DAMAGE.
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*/
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#include "cryb/impl.h"
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#include <stddef.h>
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#include <stdint.h>
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#include <cryb/mpi.h>
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#include "cryb_mpi_impl.h"
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/*
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* Store the product of A and B in X.
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*/
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int
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mpi_mul(cryb_mpi *X, const cryb_mpi *A, const cryb_mpi *B)
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{
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int neg;
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neg = A->neg ^ B->neg;
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if (mpi_mul_abs(X, A, B) < 0)
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return (-1);
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if (X->msb > 0)
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X->neg = neg;
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return (0);
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}
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104
lib/mpi/cryb_mpi_mul_abs.c
Normal file
104
lib/mpi/cryb_mpi_mul_abs.c
Normal file
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@ -0,0 +1,104 @@
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/*
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* Copyright (c) 2017 Dag-Erling Smørgrav
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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* 3. The name of the author may not be used to endorse or promote
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* products derived from this software without specific prior written
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* permission.
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*
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* THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
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* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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* SUCH DAMAGE.
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*/
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#include "cryb/impl.h"
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#include <stddef.h>
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#include <stdint.h>
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#include <strings.h>
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#include <cryb/bitwise.h>
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#include <cryb/mpi.h>
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#include "cryb_mpi_impl.h"
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/*
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* Store the product of the absolutes values of A and B in X.
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*
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* Note: this is loosely based on HAC 14.2.3. However, the first
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* paragraph speaks of x and y having n and t digits respectively, with
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* the most significant digits being x[n - 1] and y[t - 1], but the rest
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* of the section refers to x and y having n + 1 and t + 1 digits. We
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* follow the former convention, but use a and b instead of n and t to
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* distance ourselves from this confusing text.
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*/
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int
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mpi_mul_abs(cryb_mpi *X, const cryb_mpi *A, const cryb_mpi *B)
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{
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cryb_mpi *P, T = CRYB_MPI_ZERO;
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uint64_t p;
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unsigned int a, b, i, j;
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uint32_t c;
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/*
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* Trivial cases: A and / or B is zero.
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*/
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if (A->msb == 0 || B->msb == 0) {
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mpi_zero(X);
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return (0);
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}
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/*
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* Unlike addition or subtraction, we can't multiply in place, so
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* if the destination is identical with one of the operands, we
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* will have to use temporary storage. Either way, make sure we
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* have enough room for the product.
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*/
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P = (X == A || X == B) ? &T : X;
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mpi_zero(P);
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a = (A->msb + 31) / 32;
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b = (B->msb + 31) / 32;
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if (mpi_grow(P, (a + b) * 32) != 0)
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return (-1);
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/*
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* Multiply...
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*/
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for (i = 0; i < b; ++i) {
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for (c = j = 0; j < a; ++j) {
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p = 1ULL * A->words[j] * B->words[i] + c;
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P->words[i + j] += p & 0xffffffffUL;
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c = p >> 32;
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}
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P->words[i + j] = c;
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}
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if (P->words[i = a + b - 1] == 0)
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--i;
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P->msb = i * 32 + flsl(P->words[i]);
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/*
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* If we used temporary storage, copy back and clean up.
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*/
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if (P == &T) {
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cryb_mpi_swap(X, P);
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cryb_mpi_destroy(P);
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}
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return (0);
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}
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@ -59,12 +59,54 @@ static struct t_mul_case {
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size_t emsb;
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size_t emsb;
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int eneg:1;
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int eneg:1;
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} t_mul_cases[] = {
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} t_mul_cases[] = {
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{
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"0 * 0 == 0",
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{ }, 0, 0,
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{ }, 0, 0,
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{ }, 0, 0,
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},
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{
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"0 * 1 == 0",
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{ }, 0, 0,
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{ 0x01 }, 1, 0,
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{ }, 0, 0,
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},
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{
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"1 * 0 == 0",
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{ 0x01 }, 1, 0,
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{ }, 0, 0,
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{ }, 0, 0,
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},
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{
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{
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"1 * 1 == 1",
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"1 * 1 == 1",
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{ 0x01 }, 1, 0,
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{ 0x01 }, 1, 0,
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{ 0x01 }, 1, 0,
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{ 0x01 }, 1, 0,
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{ 0x01 }, 1, 0,
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{ 0x01 }, 1, 0,
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},
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},
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{
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"(2^32 + 1) * (2^32 + 1) == 2^64 + 2^33 + 1",
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{ 0x01, 0x00, 0x00, 0x00, 0x01 }, 33, 0,
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{ 0x01, 0x00, 0x00, 0x00, 0x01 }, 33, 0,
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{ 0x01, 0x00, 0x00, 0x00, 0x02, 0x00, 0x00, 0x00, 0x01 }, 65, 0,
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},
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{
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"(2^32 + 1) * (2^32 - 1) == 2^64 - 1",
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{ 0x01, 0x00, 0x00, 0x00, 0x01 }, 33, 0,
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{ 0xff, 0xff, 0xff, 0xff }, 32, 0,
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{ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff }, 63, 0,
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},
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{
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"(2^32 - 1) * (2^32 + 1) == 2^64 - 1",
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{ 0xff, 0xff, 0xff, 0xff }, 32, 0,
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{ 0x01, 0x00, 0x00, 0x00, 0x01 }, 33, 0,
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{ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff }, 63, 0,
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},
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{
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"(2^32 - 1) * (2^32 - 1) == 2^64 - 2^33 + 1",
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{ 0xff, 0xff, 0xff, 0xff }, 32, 0,
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{ 0xff, 0xff, 0xff, 0xff }, 32, 0,
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{ 0xff, 0xff, 0xff, 0xfe, 0x00, 0x00, 0x00, 0x01 }, 64, 0,
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},
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};
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};
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static int
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static int
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@ -81,11 +123,7 @@ t_mpi_mul_tc(char **desc CRYB_UNUSED, void *arg)
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b.neg = tc->bneg;
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b.neg = tc->bneg;
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mpi_load(&e, tc->e, (tc->emsb + 7) / 8);
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mpi_load(&e, tc->e, (tc->emsb + 7) / 8);
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e.neg = tc->eneg;
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e.neg = tc->eneg;
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#if 0
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ret &= t_compare_i(0, mpi_mul_abs(&x, &a, &b));
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ret &= t_compare_i(0, mpi_mul_abs(&x, &a, &b));
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#else
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mpi_load(&x, tc->e, (tc->emsb + 7) / 8);
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#endif
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ret &= t_compare_mpi(&e, &x);
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ret &= t_compare_mpi(&e, &x);
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mpi_destroy(&a);
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mpi_destroy(&a);
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mpi_destroy(&b);
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mpi_destroy(&b);
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