Index: mozilla/security/nss/lib/freebl/ecl/ecl_gf.c |
=================================================================== |
--- mozilla/security/nss/lib/freebl/ecl/ecl_gf.c (revision 191424) |
+++ mozilla/security/nss/lib/freebl/ecl/ecl_gf.c (working copy) |
@@ -1,997 +0,0 @@ |
-/* This Source Code Form is subject to the terms of the Mozilla Public |
- * License, v. 2.0. If a copy of the MPL was not distributed with this |
- * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ |
- |
-#include "mpi.h" |
-#include "mp_gf2m.h" |
-#include "ecl-priv.h" |
-#include "mpi-priv.h" |
-#include <stdlib.h> |
- |
-/* Allocate memory for a new GFMethod object. */ |
-GFMethod * |
-GFMethod_new() |
-{ |
- mp_err res = MP_OKAY; |
- GFMethod *meth; |
- meth = (GFMethod *) malloc(sizeof(GFMethod)); |
- if (meth == NULL) |
- return NULL; |
- meth->constructed = MP_YES; |
- MP_DIGITS(&meth->irr) = 0; |
- meth->extra_free = NULL; |
- MP_CHECKOK(mp_init(&meth->irr)); |
- |
- CLEANUP: |
- if (res != MP_OKAY) { |
- GFMethod_free(meth); |
- return NULL; |
- } |
- return meth; |
-} |
- |
-/* Construct a generic GFMethod for arithmetic over prime fields with |
- * irreducible irr. */ |
-GFMethod * |
-GFMethod_consGFp(const mp_int *irr) |
-{ |
- mp_err res = MP_OKAY; |
- GFMethod *meth = NULL; |
- |
- meth = GFMethod_new(); |
- if (meth == NULL) |
- return NULL; |
- |
- MP_CHECKOK(mp_copy(irr, &meth->irr)); |
- meth->irr_arr[0] = mpl_significant_bits(irr); |
- meth->irr_arr[1] = meth->irr_arr[2] = meth->irr_arr[3] = |
- meth->irr_arr[4] = 0; |
- switch(MP_USED(&meth->irr)) { |
- /* maybe we need 1 and 2 words here as well?*/ |
- case 3: |
- meth->field_add = &ec_GFp_add_3; |
- meth->field_sub = &ec_GFp_sub_3; |
- break; |
- case 4: |
- meth->field_add = &ec_GFp_add_4; |
- meth->field_sub = &ec_GFp_sub_4; |
- break; |
- case 5: |
- meth->field_add = &ec_GFp_add_5; |
- meth->field_sub = &ec_GFp_sub_5; |
- break; |
- case 6: |
- meth->field_add = &ec_GFp_add_6; |
- meth->field_sub = &ec_GFp_sub_6; |
- break; |
- default: |
- meth->field_add = &ec_GFp_add; |
- meth->field_sub = &ec_GFp_sub; |
- } |
- meth->field_neg = &ec_GFp_neg; |
- meth->field_mod = &ec_GFp_mod; |
- meth->field_mul = &ec_GFp_mul; |
- meth->field_sqr = &ec_GFp_sqr; |
- meth->field_div = &ec_GFp_div; |
- meth->field_enc = NULL; |
- meth->field_dec = NULL; |
- meth->extra1 = NULL; |
- meth->extra2 = NULL; |
- meth->extra_free = NULL; |
- |
- CLEANUP: |
- if (res != MP_OKAY) { |
- GFMethod_free(meth); |
- return NULL; |
- } |
- return meth; |
-} |
- |
-/* Construct a generic GFMethod for arithmetic over binary polynomial |
- * fields with irreducible irr that has array representation irr_arr (see |
- * ecl-priv.h for description of the representation). If irr_arr is NULL, |
- * then it is constructed from the bitstring representation. */ |
-GFMethod * |
-GFMethod_consGF2m(const mp_int *irr, const unsigned int irr_arr[5]) |
-{ |
- mp_err res = MP_OKAY; |
- int ret; |
- GFMethod *meth = NULL; |
- |
- meth = GFMethod_new(); |
- if (meth == NULL) |
- return NULL; |
- |
- MP_CHECKOK(mp_copy(irr, &meth->irr)); |
- if (irr_arr != NULL) { |
- /* Irreducible polynomials are either trinomials or pentanomials. */ |
- meth->irr_arr[0] = irr_arr[0]; |
- meth->irr_arr[1] = irr_arr[1]; |
- meth->irr_arr[2] = irr_arr[2]; |
- if (irr_arr[2] > 0) { |
- meth->irr_arr[3] = irr_arr[3]; |
- meth->irr_arr[4] = irr_arr[4]; |
- } else { |
- meth->irr_arr[3] = meth->irr_arr[4] = 0; |
- } |
- } else { |
- ret = mp_bpoly2arr(irr, meth->irr_arr, 5); |
- /* Irreducible polynomials are either trinomials or pentanomials. */ |
- if ((ret != 5) && (ret != 3)) { |
- res = MP_UNDEF; |
- goto CLEANUP; |
- } |
- } |
- meth->field_add = &ec_GF2m_add; |
- meth->field_neg = &ec_GF2m_neg; |
- meth->field_sub = &ec_GF2m_add; |
- meth->field_mod = &ec_GF2m_mod; |
- meth->field_mul = &ec_GF2m_mul; |
- meth->field_sqr = &ec_GF2m_sqr; |
- meth->field_div = &ec_GF2m_div; |
- meth->field_enc = NULL; |
- meth->field_dec = NULL; |
- meth->extra1 = NULL; |
- meth->extra2 = NULL; |
- meth->extra_free = NULL; |
- |
- CLEANUP: |
- if (res != MP_OKAY) { |
- GFMethod_free(meth); |
- return NULL; |
- } |
- return meth; |
-} |
- |
-/* Free the memory allocated (if any) to a GFMethod object. */ |
-void |
-GFMethod_free(GFMethod *meth) |
-{ |
- if (meth == NULL) |
- return; |
- if (meth->constructed == MP_NO) |
- return; |
- mp_clear(&meth->irr); |
- if (meth->extra_free != NULL) |
- meth->extra_free(meth); |
- free(meth); |
-} |
- |
-/* Wrapper functions for generic prime field arithmetic. */ |
- |
-/* Add two field elements. Assumes that 0 <= a, b < meth->irr */ |
-mp_err |
-ec_GFp_add(const mp_int *a, const mp_int *b, mp_int *r, |
- const GFMethod *meth) |
-{ |
- /* PRE: 0 <= a, b < p = meth->irr POST: 0 <= r < p, r = a + b (mod p) */ |
- mp_err res; |
- |
- if ((res = mp_add(a, b, r)) != MP_OKAY) { |
- return res; |
- } |
- if (mp_cmp(r, &meth->irr) >= 0) { |
- return mp_sub(r, &meth->irr, r); |
- } |
- return res; |
-} |
- |
-/* Negates a field element. Assumes that 0 <= a < meth->irr */ |
-mp_err |
-ec_GFp_neg(const mp_int *a, mp_int *r, const GFMethod *meth) |
-{ |
- /* PRE: 0 <= a < p = meth->irr POST: 0 <= r < p, r = -a (mod p) */ |
- |
- if (mp_cmp_z(a) == 0) { |
- mp_zero(r); |
- return MP_OKAY; |
- } |
- return mp_sub(&meth->irr, a, r); |
-} |
- |
-/* Subtracts two field elements. Assumes that 0 <= a, b < meth->irr */ |
-mp_err |
-ec_GFp_sub(const mp_int *a, const mp_int *b, mp_int *r, |
- const GFMethod *meth) |
-{ |
- mp_err res = MP_OKAY; |
- |
- /* PRE: 0 <= a, b < p = meth->irr POST: 0 <= r < p, r = a - b (mod p) */ |
- res = mp_sub(a, b, r); |
- if (res == MP_RANGE) { |
- MP_CHECKOK(mp_sub(b, a, r)); |
- if (mp_cmp_z(r) < 0) { |
- MP_CHECKOK(mp_add(r, &meth->irr, r)); |
- } |
- MP_CHECKOK(ec_GFp_neg(r, r, meth)); |
- } |
- if (mp_cmp_z(r) < 0) { |
- MP_CHECKOK(mp_add(r, &meth->irr, r)); |
- } |
- CLEANUP: |
- return res; |
-} |
-/* |
- * Inline adds for small curve lengths. |
- */ |
-/* 3 words */ |
-mp_err |
-ec_GFp_add_3(const mp_int *a, const mp_int *b, mp_int *r, |
- const GFMethod *meth) |
-{ |
- mp_err res = MP_OKAY; |
- mp_digit a0 = 0, a1 = 0, a2 = 0; |
- mp_digit r0 = 0, r1 = 0, r2 = 0; |
- mp_digit carry; |
- |
- switch(MP_USED(a)) { |
- case 3: |
- a2 = MP_DIGIT(a,2); |
- case 2: |
- a1 = MP_DIGIT(a,1); |
- case 1: |
- a0 = MP_DIGIT(a,0); |
- } |
- switch(MP_USED(b)) { |
- case 3: |
- r2 = MP_DIGIT(b,2); |
- case 2: |
- r1 = MP_DIGIT(b,1); |
- case 1: |
- r0 = MP_DIGIT(b,0); |
- } |
- |
-#ifndef MPI_AMD64_ADD |
- MP_ADD_CARRY(a0, r0, r0, 0, carry); |
- MP_ADD_CARRY(a1, r1, r1, carry, carry); |
- MP_ADD_CARRY(a2, r2, r2, carry, carry); |
-#else |
- __asm__ ( |
- "xorq %3,%3 \n\t" |
- "addq %4,%0 \n\t" |
- "adcq %5,%1 \n\t" |
- "adcq %6,%2 \n\t" |
- "adcq $0,%3 \n\t" |
- : "=r"(r0), "=r"(r1), "=r"(r2), "=r"(carry) |
- : "r" (a0), "r" (a1), "r" (a2), |
- "0" (r0), "1" (r1), "2" (r2) |
- : "%cc" ); |
-#endif |
- |
- MP_CHECKOK(s_mp_pad(r, 3)); |
- MP_DIGIT(r, 2) = r2; |
- MP_DIGIT(r, 1) = r1; |
- MP_DIGIT(r, 0) = r0; |
- MP_SIGN(r) = MP_ZPOS; |
- MP_USED(r) = 3; |
- |
- /* Do quick 'subract' if we've gone over |
- * (add the 2's complement of the curve field) */ |
- a2 = MP_DIGIT(&meth->irr,2); |
- if (carry || r2 > a2 || |
- ((r2 == a2) && mp_cmp(r,&meth->irr) != MP_LT)) { |
- a1 = MP_DIGIT(&meth->irr,1); |
- a0 = MP_DIGIT(&meth->irr,0); |
-#ifndef MPI_AMD64_ADD |
- MP_SUB_BORROW(r0, a0, r0, 0, carry); |
- MP_SUB_BORROW(r1, a1, r1, carry, carry); |
- MP_SUB_BORROW(r2, a2, r2, carry, carry); |
-#else |
- __asm__ ( |
- "subq %3,%0 \n\t" |
- "sbbq %4,%1 \n\t" |
- "sbbq %5,%2 \n\t" |
- : "=r"(r0), "=r"(r1), "=r"(r2) |
- : "r" (a0), "r" (a1), "r" (a2), |
- "0" (r0), "1" (r1), "2" (r2) |
- : "%cc" ); |
-#endif |
- MP_DIGIT(r, 2) = r2; |
- MP_DIGIT(r, 1) = r1; |
- MP_DIGIT(r, 0) = r0; |
- } |
- |
- s_mp_clamp(r); |
- |
- CLEANUP: |
- return res; |
-} |
- |
-/* 4 words */ |
-mp_err |
-ec_GFp_add_4(const mp_int *a, const mp_int *b, mp_int *r, |
- const GFMethod *meth) |
-{ |
- mp_err res = MP_OKAY; |
- mp_digit a0 = 0, a1 = 0, a2 = 0, a3 = 0; |
- mp_digit r0 = 0, r1 = 0, r2 = 0, r3 = 0; |
- mp_digit carry; |
- |
- switch(MP_USED(a)) { |
- case 4: |
- a3 = MP_DIGIT(a,3); |
- case 3: |
- a2 = MP_DIGIT(a,2); |
- case 2: |
- a1 = MP_DIGIT(a,1); |
- case 1: |
- a0 = MP_DIGIT(a,0); |
- } |
- switch(MP_USED(b)) { |
- case 4: |
- r3 = MP_DIGIT(b,3); |
- case 3: |
- r2 = MP_DIGIT(b,2); |
- case 2: |
- r1 = MP_DIGIT(b,1); |
- case 1: |
- r0 = MP_DIGIT(b,0); |
- } |
- |
-#ifndef MPI_AMD64_ADD |
- MP_ADD_CARRY(a0, r0, r0, 0, carry); |
- MP_ADD_CARRY(a1, r1, r1, carry, carry); |
- MP_ADD_CARRY(a2, r2, r2, carry, carry); |
- MP_ADD_CARRY(a3, r3, r3, carry, carry); |
-#else |
- __asm__ ( |
- "xorq %4,%4 \n\t" |
- "addq %5,%0 \n\t" |
- "adcq %6,%1 \n\t" |
- "adcq %7,%2 \n\t" |
- "adcq %8,%3 \n\t" |
- "adcq $0,%4 \n\t" |
- : "=r"(r0), "=r"(r1), "=r"(r2), "=r"(r3), "=r"(carry) |
- : "r" (a0), "r" (a1), "r" (a2), "r" (a3), |
- "0" (r0), "1" (r1), "2" (r2), "3" (r3) |
- : "%cc" ); |
-#endif |
- |
- MP_CHECKOK(s_mp_pad(r, 4)); |
- MP_DIGIT(r, 3) = r3; |
- MP_DIGIT(r, 2) = r2; |
- MP_DIGIT(r, 1) = r1; |
- MP_DIGIT(r, 0) = r0; |
- MP_SIGN(r) = MP_ZPOS; |
- MP_USED(r) = 4; |
- |
- /* Do quick 'subract' if we've gone over |
- * (add the 2's complement of the curve field) */ |
- a3 = MP_DIGIT(&meth->irr,3); |
- if (carry || r3 > a3 || |
- ((r3 == a3) && mp_cmp(r,&meth->irr) != MP_LT)) { |
- a2 = MP_DIGIT(&meth->irr,2); |
- a1 = MP_DIGIT(&meth->irr,1); |
- a0 = MP_DIGIT(&meth->irr,0); |
-#ifndef MPI_AMD64_ADD |
- MP_SUB_BORROW(r0, a0, r0, 0, carry); |
- MP_SUB_BORROW(r1, a1, r1, carry, carry); |
- MP_SUB_BORROW(r2, a2, r2, carry, carry); |
- MP_SUB_BORROW(r3, a3, r3, carry, carry); |
-#else |
- __asm__ ( |
- "subq %4,%0 \n\t" |
- "sbbq %5,%1 \n\t" |
- "sbbq %6,%2 \n\t" |
- "sbbq %7,%3 \n\t" |
- : "=r"(r0), "=r"(r1), "=r"(r2), "=r"(r3) |
- : "r" (a0), "r" (a1), "r" (a2), "r" (a3), |
- "0" (r0), "1" (r1), "2" (r2), "3" (r3) |
- : "%cc" ); |
-#endif |
- MP_DIGIT(r, 3) = r3; |
- MP_DIGIT(r, 2) = r2; |
- MP_DIGIT(r, 1) = r1; |
- MP_DIGIT(r, 0) = r0; |
- } |
- |
- s_mp_clamp(r); |
- |
- CLEANUP: |
- return res; |
-} |
- |
-/* 5 words */ |
-mp_err |
-ec_GFp_add_5(const mp_int *a, const mp_int *b, mp_int *r, |
- const GFMethod *meth) |
-{ |
- mp_err res = MP_OKAY; |
- mp_digit a0 = 0, a1 = 0, a2 = 0, a3 = 0, a4 = 0; |
- mp_digit r0 = 0, r1 = 0, r2 = 0, r3 = 0, r4 = 0; |
- mp_digit carry; |
- |
- switch(MP_USED(a)) { |
- case 5: |
- a4 = MP_DIGIT(a,4); |
- case 4: |
- a3 = MP_DIGIT(a,3); |
- case 3: |
- a2 = MP_DIGIT(a,2); |
- case 2: |
- a1 = MP_DIGIT(a,1); |
- case 1: |
- a0 = MP_DIGIT(a,0); |
- } |
- switch(MP_USED(b)) { |
- case 5: |
- r4 = MP_DIGIT(b,4); |
- case 4: |
- r3 = MP_DIGIT(b,3); |
- case 3: |
- r2 = MP_DIGIT(b,2); |
- case 2: |
- r1 = MP_DIGIT(b,1); |
- case 1: |
- r0 = MP_DIGIT(b,0); |
- } |
- |
- MP_ADD_CARRY(a0, r0, r0, 0, carry); |
- MP_ADD_CARRY(a1, r1, r1, carry, carry); |
- MP_ADD_CARRY(a2, r2, r2, carry, carry); |
- MP_ADD_CARRY(a3, r3, r3, carry, carry); |
- MP_ADD_CARRY(a4, r4, r4, carry, carry); |
- |
- MP_CHECKOK(s_mp_pad(r, 5)); |
- MP_DIGIT(r, 4) = r4; |
- MP_DIGIT(r, 3) = r3; |
- MP_DIGIT(r, 2) = r2; |
- MP_DIGIT(r, 1) = r1; |
- MP_DIGIT(r, 0) = r0; |
- MP_SIGN(r) = MP_ZPOS; |
- MP_USED(r) = 5; |
- |
- /* Do quick 'subract' if we've gone over |
- * (add the 2's complement of the curve field) */ |
- a4 = MP_DIGIT(&meth->irr,4); |
- if (carry || r4 > a4 || |
- ((r4 == a4) && mp_cmp(r,&meth->irr) != MP_LT)) { |
- a3 = MP_DIGIT(&meth->irr,3); |
- a2 = MP_DIGIT(&meth->irr,2); |
- a1 = MP_DIGIT(&meth->irr,1); |
- a0 = MP_DIGIT(&meth->irr,0); |
- MP_SUB_BORROW(r0, a0, r0, 0, carry); |
- MP_SUB_BORROW(r1, a1, r1, carry, carry); |
- MP_SUB_BORROW(r2, a2, r2, carry, carry); |
- MP_SUB_BORROW(r3, a3, r3, carry, carry); |
- MP_SUB_BORROW(r4, a4, r4, carry, carry); |
- MP_DIGIT(r, 4) = r4; |
- MP_DIGIT(r, 3) = r3; |
- MP_DIGIT(r, 2) = r2; |
- MP_DIGIT(r, 1) = r1; |
- MP_DIGIT(r, 0) = r0; |
- } |
- |
- s_mp_clamp(r); |
- |
- CLEANUP: |
- return res; |
-} |
- |
-/* 6 words */ |
-mp_err |
-ec_GFp_add_6(const mp_int *a, const mp_int *b, mp_int *r, |
- const GFMethod *meth) |
-{ |
- mp_err res = MP_OKAY; |
- mp_digit a0 = 0, a1 = 0, a2 = 0, a3 = 0, a4 = 0, a5 = 0; |
- mp_digit r0 = 0, r1 = 0, r2 = 0, r3 = 0, r4 = 0, r5 = 0; |
- mp_digit carry; |
- |
- switch(MP_USED(a)) { |
- case 6: |
- a5 = MP_DIGIT(a,5); |
- case 5: |
- a4 = MP_DIGIT(a,4); |
- case 4: |
- a3 = MP_DIGIT(a,3); |
- case 3: |
- a2 = MP_DIGIT(a,2); |
- case 2: |
- a1 = MP_DIGIT(a,1); |
- case 1: |
- a0 = MP_DIGIT(a,0); |
- } |
- switch(MP_USED(b)) { |
- case 6: |
- r5 = MP_DIGIT(b,5); |
- case 5: |
- r4 = MP_DIGIT(b,4); |
- case 4: |
- r3 = MP_DIGIT(b,3); |
- case 3: |
- r2 = MP_DIGIT(b,2); |
- case 2: |
- r1 = MP_DIGIT(b,1); |
- case 1: |
- r0 = MP_DIGIT(b,0); |
- } |
- |
- MP_ADD_CARRY(a0, r0, r0, 0, carry); |
- MP_ADD_CARRY(a1, r1, r1, carry, carry); |
- MP_ADD_CARRY(a2, r2, r2, carry, carry); |
- MP_ADD_CARRY(a3, r3, r3, carry, carry); |
- MP_ADD_CARRY(a4, r4, r4, carry, carry); |
- MP_ADD_CARRY(a5, r5, r5, carry, carry); |
- |
- MP_CHECKOK(s_mp_pad(r, 6)); |
- MP_DIGIT(r, 5) = r5; |
- MP_DIGIT(r, 4) = r4; |
- MP_DIGIT(r, 3) = r3; |
- MP_DIGIT(r, 2) = r2; |
- MP_DIGIT(r, 1) = r1; |
- MP_DIGIT(r, 0) = r0; |
- MP_SIGN(r) = MP_ZPOS; |
- MP_USED(r) = 6; |
- |
- /* Do quick 'subract' if we've gone over |
- * (add the 2's complement of the curve field) */ |
- a5 = MP_DIGIT(&meth->irr,5); |
- if (carry || r5 > a5 || |
- ((r5 == a5) && mp_cmp(r,&meth->irr) != MP_LT)) { |
- a4 = MP_DIGIT(&meth->irr,4); |
- a3 = MP_DIGIT(&meth->irr,3); |
- a2 = MP_DIGIT(&meth->irr,2); |
- a1 = MP_DIGIT(&meth->irr,1); |
- a0 = MP_DIGIT(&meth->irr,0); |
- MP_SUB_BORROW(r0, a0, r0, 0, carry); |
- MP_SUB_BORROW(r1, a1, r1, carry, carry); |
- MP_SUB_BORROW(r2, a2, r2, carry, carry); |
- MP_SUB_BORROW(r3, a3, r3, carry, carry); |
- MP_SUB_BORROW(r4, a4, r4, carry, carry); |
- MP_SUB_BORROW(r5, a5, r5, carry, carry); |
- MP_DIGIT(r, 5) = r5; |
- MP_DIGIT(r, 4) = r4; |
- MP_DIGIT(r, 3) = r3; |
- MP_DIGIT(r, 2) = r2; |
- MP_DIGIT(r, 1) = r1; |
- MP_DIGIT(r, 0) = r0; |
- } |
- |
- s_mp_clamp(r); |
- |
- CLEANUP: |
- return res; |
-} |
- |
-/* |
- * The following subraction functions do in-line subractions based |
- * on our curve size. |
- * |
- * ... 3 words |
- */ |
-mp_err |
-ec_GFp_sub_3(const mp_int *a, const mp_int *b, mp_int *r, |
- const GFMethod *meth) |
-{ |
- mp_err res = MP_OKAY; |
- mp_digit b0 = 0, b1 = 0, b2 = 0; |
- mp_digit r0 = 0, r1 = 0, r2 = 0; |
- mp_digit borrow; |
- |
- switch(MP_USED(a)) { |
- case 3: |
- r2 = MP_DIGIT(a,2); |
- case 2: |
- r1 = MP_DIGIT(a,1); |
- case 1: |
- r0 = MP_DIGIT(a,0); |
- } |
- switch(MP_USED(b)) { |
- case 3: |
- b2 = MP_DIGIT(b,2); |
- case 2: |
- b1 = MP_DIGIT(b,1); |
- case 1: |
- b0 = MP_DIGIT(b,0); |
- } |
- |
-#ifndef MPI_AMD64_ADD |
- MP_SUB_BORROW(r0, b0, r0, 0, borrow); |
- MP_SUB_BORROW(r1, b1, r1, borrow, borrow); |
- MP_SUB_BORROW(r2, b2, r2, borrow, borrow); |
-#else |
- __asm__ ( |
- "xorq %3,%3 \n\t" |
- "subq %4,%0 \n\t" |
- "sbbq %5,%1 \n\t" |
- "sbbq %6,%2 \n\t" |
- "adcq $0,%3 \n\t" |
- : "=r"(r0), "=r"(r1), "=r"(r2), "=r" (borrow) |
- : "r" (b0), "r" (b1), "r" (b2), |
- "0" (r0), "1" (r1), "2" (r2) |
- : "%cc" ); |
-#endif |
- |
- /* Do quick 'add' if we've gone under 0 |
- * (subtract the 2's complement of the curve field) */ |
- if (borrow) { |
- b2 = MP_DIGIT(&meth->irr,2); |
- b1 = MP_DIGIT(&meth->irr,1); |
- b0 = MP_DIGIT(&meth->irr,0); |
-#ifndef MPI_AMD64_ADD |
- MP_ADD_CARRY(b0, r0, r0, 0, borrow); |
- MP_ADD_CARRY(b1, r1, r1, borrow, borrow); |
- MP_ADD_CARRY(b2, r2, r2, borrow, borrow); |
-#else |
- __asm__ ( |
- "addq %3,%0 \n\t" |
- "adcq %4,%1 \n\t" |
- "adcq %5,%2 \n\t" |
- : "=r"(r0), "=r"(r1), "=r"(r2) |
- : "r" (b0), "r" (b1), "r" (b2), |
- "0" (r0), "1" (r1), "2" (r2) |
- : "%cc" ); |
-#endif |
- } |
- |
-#ifdef MPI_AMD64_ADD |
- /* compiler fakeout? */ |
- if ((r2 == b0) && (r1 == b0) && (r0 == b0)) { |
- MP_CHECKOK(s_mp_pad(r, 4)); |
- } |
-#endif |
- MP_CHECKOK(s_mp_pad(r, 3)); |
- MP_DIGIT(r, 2) = r2; |
- MP_DIGIT(r, 1) = r1; |
- MP_DIGIT(r, 0) = r0; |
- MP_SIGN(r) = MP_ZPOS; |
- MP_USED(r) = 3; |
- s_mp_clamp(r); |
- |
- CLEANUP: |
- return res; |
-} |
- |
-/* 4 words */ |
-mp_err |
-ec_GFp_sub_4(const mp_int *a, const mp_int *b, mp_int *r, |
- const GFMethod *meth) |
-{ |
- mp_err res = MP_OKAY; |
- mp_digit b0 = 0, b1 = 0, b2 = 0, b3 = 0; |
- mp_digit r0 = 0, r1 = 0, r2 = 0, r3 = 0; |
- mp_digit borrow; |
- |
- switch(MP_USED(a)) { |
- case 4: |
- r3 = MP_DIGIT(a,3); |
- case 3: |
- r2 = MP_DIGIT(a,2); |
- case 2: |
- r1 = MP_DIGIT(a,1); |
- case 1: |
- r0 = MP_DIGIT(a,0); |
- } |
- switch(MP_USED(b)) { |
- case 4: |
- b3 = MP_DIGIT(b,3); |
- case 3: |
- b2 = MP_DIGIT(b,2); |
- case 2: |
- b1 = MP_DIGIT(b,1); |
- case 1: |
- b0 = MP_DIGIT(b,0); |
- } |
- |
-#ifndef MPI_AMD64_ADD |
- MP_SUB_BORROW(r0, b0, r0, 0, borrow); |
- MP_SUB_BORROW(r1, b1, r1, borrow, borrow); |
- MP_SUB_BORROW(r2, b2, r2, borrow, borrow); |
- MP_SUB_BORROW(r3, b3, r3, borrow, borrow); |
-#else |
- __asm__ ( |
- "xorq %4,%4 \n\t" |
- "subq %5,%0 \n\t" |
- "sbbq %6,%1 \n\t" |
- "sbbq %7,%2 \n\t" |
- "sbbq %8,%3 \n\t" |
- "adcq $0,%4 \n\t" |
- : "=r"(r0), "=r"(r1), "=r"(r2), "=r"(r3), "=r" (borrow) |
- : "r" (b0), "r" (b1), "r" (b2), "r" (b3), |
- "0" (r0), "1" (r1), "2" (r2), "3" (r3) |
- : "%cc" ); |
-#endif |
- |
- /* Do quick 'add' if we've gone under 0 |
- * (subtract the 2's complement of the curve field) */ |
- if (borrow) { |
- b3 = MP_DIGIT(&meth->irr,3); |
- b2 = MP_DIGIT(&meth->irr,2); |
- b1 = MP_DIGIT(&meth->irr,1); |
- b0 = MP_DIGIT(&meth->irr,0); |
-#ifndef MPI_AMD64_ADD |
- MP_ADD_CARRY(b0, r0, r0, 0, borrow); |
- MP_ADD_CARRY(b1, r1, r1, borrow, borrow); |
- MP_ADD_CARRY(b2, r2, r2, borrow, borrow); |
- MP_ADD_CARRY(b3, r3, r3, borrow, borrow); |
-#else |
- __asm__ ( |
- "addq %4,%0 \n\t" |
- "adcq %5,%1 \n\t" |
- "adcq %6,%2 \n\t" |
- "adcq %7,%3 \n\t" |
- : "=r"(r0), "=r"(r1), "=r"(r2), "=r"(r3) |
- : "r" (b0), "r" (b1), "r" (b2), "r" (b3), |
- "0" (r0), "1" (r1), "2" (r2), "3" (r3) |
- : "%cc" ); |
-#endif |
- } |
-#ifdef MPI_AMD64_ADD |
- /* compiler fakeout? */ |
- if ((r3 == b0) && (r1 == b0) && (r0 == b0)) { |
- MP_CHECKOK(s_mp_pad(r, 4)); |
- } |
-#endif |
- MP_CHECKOK(s_mp_pad(r, 4)); |
- MP_DIGIT(r, 3) = r3; |
- MP_DIGIT(r, 2) = r2; |
- MP_DIGIT(r, 1) = r1; |
- MP_DIGIT(r, 0) = r0; |
- MP_SIGN(r) = MP_ZPOS; |
- MP_USED(r) = 4; |
- s_mp_clamp(r); |
- |
- CLEANUP: |
- return res; |
-} |
- |
-/* 5 words */ |
-mp_err |
-ec_GFp_sub_5(const mp_int *a, const mp_int *b, mp_int *r, |
- const GFMethod *meth) |
-{ |
- mp_err res = MP_OKAY; |
- mp_digit b0 = 0, b1 = 0, b2 = 0, b3 = 0, b4 = 0; |
- mp_digit r0 = 0, r1 = 0, r2 = 0, r3 = 0, r4 = 0; |
- mp_digit borrow; |
- |
- switch(MP_USED(a)) { |
- case 5: |
- r4 = MP_DIGIT(a,4); |
- case 4: |
- r3 = MP_DIGIT(a,3); |
- case 3: |
- r2 = MP_DIGIT(a,2); |
- case 2: |
- r1 = MP_DIGIT(a,1); |
- case 1: |
- r0 = MP_DIGIT(a,0); |
- } |
- switch(MP_USED(b)) { |
- case 5: |
- b4 = MP_DIGIT(b,4); |
- case 4: |
- b3 = MP_DIGIT(b,3); |
- case 3: |
- b2 = MP_DIGIT(b,2); |
- case 2: |
- b1 = MP_DIGIT(b,1); |
- case 1: |
- b0 = MP_DIGIT(b,0); |
- } |
- |
- MP_SUB_BORROW(r0, b0, r0, 0, borrow); |
- MP_SUB_BORROW(r1, b1, r1, borrow, borrow); |
- MP_SUB_BORROW(r2, b2, r2, borrow, borrow); |
- MP_SUB_BORROW(r3, b3, r3, borrow, borrow); |
- MP_SUB_BORROW(r4, b4, r4, borrow, borrow); |
- |
- /* Do quick 'add' if we've gone under 0 |
- * (subtract the 2's complement of the curve field) */ |
- if (borrow) { |
- b4 = MP_DIGIT(&meth->irr,4); |
- b3 = MP_DIGIT(&meth->irr,3); |
- b2 = MP_DIGIT(&meth->irr,2); |
- b1 = MP_DIGIT(&meth->irr,1); |
- b0 = MP_DIGIT(&meth->irr,0); |
- MP_ADD_CARRY(b0, r0, r0, 0, borrow); |
- MP_ADD_CARRY(b1, r1, r1, borrow, borrow); |
- MP_ADD_CARRY(b2, r2, r2, borrow, borrow); |
- MP_ADD_CARRY(b3, r3, r3, borrow, borrow); |
- } |
- MP_CHECKOK(s_mp_pad(r, 5)); |
- MP_DIGIT(r, 4) = r4; |
- MP_DIGIT(r, 3) = r3; |
- MP_DIGIT(r, 2) = r2; |
- MP_DIGIT(r, 1) = r1; |
- MP_DIGIT(r, 0) = r0; |
- MP_SIGN(r) = MP_ZPOS; |
- MP_USED(r) = 5; |
- s_mp_clamp(r); |
- |
- CLEANUP: |
- return res; |
-} |
- |
-/* 6 words */ |
-mp_err |
-ec_GFp_sub_6(const mp_int *a, const mp_int *b, mp_int *r, |
- const GFMethod *meth) |
-{ |
- mp_err res = MP_OKAY; |
- mp_digit b0 = 0, b1 = 0, b2 = 0, b3 = 0, b4 = 0, b5 = 0; |
- mp_digit r0 = 0, r1 = 0, r2 = 0, r3 = 0, r4 = 0, r5 = 0; |
- mp_digit borrow; |
- |
- switch(MP_USED(a)) { |
- case 6: |
- r5 = MP_DIGIT(a,5); |
- case 5: |
- r4 = MP_DIGIT(a,4); |
- case 4: |
- r3 = MP_DIGIT(a,3); |
- case 3: |
- r2 = MP_DIGIT(a,2); |
- case 2: |
- r1 = MP_DIGIT(a,1); |
- case 1: |
- r0 = MP_DIGIT(a,0); |
- } |
- switch(MP_USED(b)) { |
- case 6: |
- b5 = MP_DIGIT(b,5); |
- case 5: |
- b4 = MP_DIGIT(b,4); |
- case 4: |
- b3 = MP_DIGIT(b,3); |
- case 3: |
- b2 = MP_DIGIT(b,2); |
- case 2: |
- b1 = MP_DIGIT(b,1); |
- case 1: |
- b0 = MP_DIGIT(b,0); |
- } |
- |
- MP_SUB_BORROW(r0, b0, r0, 0, borrow); |
- MP_SUB_BORROW(r1, b1, r1, borrow, borrow); |
- MP_SUB_BORROW(r2, b2, r2, borrow, borrow); |
- MP_SUB_BORROW(r3, b3, r3, borrow, borrow); |
- MP_SUB_BORROW(r4, b4, r4, borrow, borrow); |
- MP_SUB_BORROW(r5, b5, r5, borrow, borrow); |
- |
- /* Do quick 'add' if we've gone under 0 |
- * (subtract the 2's complement of the curve field) */ |
- if (borrow) { |
- b5 = MP_DIGIT(&meth->irr,5); |
- b4 = MP_DIGIT(&meth->irr,4); |
- b3 = MP_DIGIT(&meth->irr,3); |
- b2 = MP_DIGIT(&meth->irr,2); |
- b1 = MP_DIGIT(&meth->irr,1); |
- b0 = MP_DIGIT(&meth->irr,0); |
- MP_ADD_CARRY(b0, r0, r0, 0, borrow); |
- MP_ADD_CARRY(b1, r1, r1, borrow, borrow); |
- MP_ADD_CARRY(b2, r2, r2, borrow, borrow); |
- MP_ADD_CARRY(b3, r3, r3, borrow, borrow); |
- MP_ADD_CARRY(b4, r4, r4, borrow, borrow); |
- } |
- |
- MP_CHECKOK(s_mp_pad(r, 6)); |
- MP_DIGIT(r, 5) = r5; |
- MP_DIGIT(r, 4) = r4; |
- MP_DIGIT(r, 3) = r3; |
- MP_DIGIT(r, 2) = r2; |
- MP_DIGIT(r, 1) = r1; |
- MP_DIGIT(r, 0) = r0; |
- MP_SIGN(r) = MP_ZPOS; |
- MP_USED(r) = 6; |
- s_mp_clamp(r); |
- |
- CLEANUP: |
- return res; |
-} |
- |
- |
-/* Reduces an integer to a field element. */ |
-mp_err |
-ec_GFp_mod(const mp_int *a, mp_int *r, const GFMethod *meth) |
-{ |
- return mp_mod(a, &meth->irr, r); |
-} |
- |
-/* Multiplies two field elements. */ |
-mp_err |
-ec_GFp_mul(const mp_int *a, const mp_int *b, mp_int *r, |
- const GFMethod *meth) |
-{ |
- return mp_mulmod(a, b, &meth->irr, r); |
-} |
- |
-/* Squares a field element. */ |
-mp_err |
-ec_GFp_sqr(const mp_int *a, mp_int *r, const GFMethod *meth) |
-{ |
- return mp_sqrmod(a, &meth->irr, r); |
-} |
- |
-/* Divides two field elements. If a is NULL, then returns the inverse of |
- * b. */ |
-mp_err |
-ec_GFp_div(const mp_int *a, const mp_int *b, mp_int *r, |
- const GFMethod *meth) |
-{ |
- mp_err res = MP_OKAY; |
- mp_int t; |
- |
- /* If a is NULL, then return the inverse of b, otherwise return a/b. */ |
- if (a == NULL) { |
- return mp_invmod(b, &meth->irr, r); |
- } else { |
- /* MPI doesn't support divmod, so we implement it using invmod and |
- * mulmod. */ |
- MP_CHECKOK(mp_init(&t)); |
- MP_CHECKOK(mp_invmod(b, &meth->irr, &t)); |
- MP_CHECKOK(mp_mulmod(a, &t, &meth->irr, r)); |
- CLEANUP: |
- mp_clear(&t); |
- return res; |
- } |
-} |
- |
-/* Wrapper functions for generic binary polynomial field arithmetic. */ |
- |
-/* Adds two field elements. */ |
-mp_err |
-ec_GF2m_add(const mp_int *a, const mp_int *b, mp_int *r, |
- const GFMethod *meth) |
-{ |
- return mp_badd(a, b, r); |
-} |
- |
-/* Negates a field element. Note that for binary polynomial fields, the |
- * negation of a field element is the field element itself. */ |
-mp_err |
-ec_GF2m_neg(const mp_int *a, mp_int *r, const GFMethod *meth) |
-{ |
- if (a == r) { |
- return MP_OKAY; |
- } else { |
- return mp_copy(a, r); |
- } |
-} |
- |
-/* Reduces a binary polynomial to a field element. */ |
-mp_err |
-ec_GF2m_mod(const mp_int *a, mp_int *r, const GFMethod *meth) |
-{ |
- return mp_bmod(a, meth->irr_arr, r); |
-} |
- |
-/* Multiplies two field elements. */ |
-mp_err |
-ec_GF2m_mul(const mp_int *a, const mp_int *b, mp_int *r, |
- const GFMethod *meth) |
-{ |
- return mp_bmulmod(a, b, meth->irr_arr, r); |
-} |
- |
-/* Squares a field element. */ |
-mp_err |
-ec_GF2m_sqr(const mp_int *a, mp_int *r, const GFMethod *meth) |
-{ |
- return mp_bsqrmod(a, meth->irr_arr, r); |
-} |
- |
-/* Divides two field elements. If a is NULL, then returns the inverse of |
- * b. */ |
-mp_err |
-ec_GF2m_div(const mp_int *a, const mp_int *b, mp_int *r, |
- const GFMethod *meth) |
-{ |
- mp_err res = MP_OKAY; |
- mp_int t; |
- |
- /* If a is NULL, then return the inverse of b, otherwise return a/b. */ |
- if (a == NULL) { |
- /* The GF(2^m) portion of MPI doesn't support invmod, so we |
- * compute 1/b. */ |
- MP_CHECKOK(mp_init(&t)); |
- MP_CHECKOK(mp_set_int(&t, 1)); |
- MP_CHECKOK(mp_bdivmod(&t, b, &meth->irr, meth->irr_arr, r)); |
- CLEANUP: |
- mp_clear(&t); |
- return res; |
- } else { |
- return mp_bdivmod(a, b, &meth->irr, meth->irr_arr, r); |
- } |
-} |