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KGC_TEST/KGCAPP/3rdparty/miracl/source/mrzzn3.c

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/***************************************************************************
*
Copyright 2013 CertiVox UK Ltd. *
*
This file is part of CertiVox MIRACL Crypto SDK. *
*
The CertiVox MIRACL Crypto SDK provides developers with an *
extensive and efficient set of cryptographic functions. *
For further information about its features and functionalities please *
refer to http://www.certivox.com *
*
* The CertiVox MIRACL Crypto SDK is free software: you can *
redistribute it and/or modify it under the terms of the *
GNU Affero General Public License as published by the *
Free Software Foundation, either version 3 of the License, *
or (at your option) any later version. *
*
* The CertiVox MIRACL Crypto SDK 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 Affero General Public License for more details. *
*
* You should have received a copy of the GNU Affero General Public *
License along with CertiVox MIRACL Crypto SDK. *
If not, see <http://www.gnu.org/licenses/>. *
*
You can be released from the requirements of the license by purchasing *
a commercial license. Buying such a license is mandatory as soon as you *
develop commercial activities involving the CertiVox MIRACL Crypto SDK *
without disclosing the source code of your own applications, or shipping *
the CertiVox MIRACL Crypto SDK with a closed source product. *
*
***************************************************************************/
/*
* MIRACL F_p^3 support functions
* mrzzn3.c
*
* This code assumes p=1 mod 3
* Irreducible polynomial is x^3+cnr
*
* Did you know that 2 is a cnr iff p cannot be written as x^2+27.y^2 ?
*/
#include <stdlib.h>
#include "miracl.h"
BOOL zzn3_iszero(zzn3 *x)
{
if (size(x->a)==0 && size(x->b)==0 && size(x->c)==0) return TRUE;
return FALSE;
}
BOOL zzn3_isunity(_MIPD_ zzn3 *x)
{
#ifdef MR_OS_THREADS
miracl *mr_mip=get_mip();
#endif
if (mr_mip->ERNUM || size(x->b)!=0 || size(x->c)!=0) return FALSE;
if (mr_compare(x->a,mr_mip->one)==0) return TRUE;
return FALSE;
}
BOOL zzn3_compare(zzn3 *x,zzn3 *y)
{
if (mr_compare(x->a,y->a)==0 && mr_compare(x->b,y->b)==0 && mr_compare(x->c,y->c)==0) return TRUE;
return FALSE;
}
void zzn3_from_int(_MIPD_ int i,zzn3 *w)
{
#ifdef MR_OS_THREADS
miracl *mr_mip=get_mip();
#endif
if (mr_mip->ERNUM) return;
MR_IN(174)
convert(_MIPP_ i,mr_mip->w1);
nres(_MIPP_ mr_mip->w1,w->a);
zero(w->b); zero(w->c);
MR_OUT
}
void zzn3_from_ints(_MIPD_ int i,int j,int k,zzn3 *w)
{
#ifdef MR_OS_THREADS
miracl *mr_mip=get_mip();
#endif
if (mr_mip->ERNUM) return;
MR_IN(175)
convert(_MIPP_ i,mr_mip->w1);
nres(_MIPP_ mr_mip->w1,w->a);
convert(_MIPP_ j,mr_mip->w1);
nres(_MIPP_ mr_mip->w1,w->b);
convert(_MIPP_ k,mr_mip->w1);
nres(_MIPP_ mr_mip->w1,w->c);
MR_OUT
}
void zzn3_from_zzns(big x,big y,big z,zzn3 *w)
{
copy(x,w->a);
copy(y,w->b);
copy(z,w->c);
}
void zzn3_from_bigs(_MIPD_ big x,big y,big z,zzn3 *w)
{
#ifdef MR_OS_THREADS
miracl *mr_mip=get_mip();
#endif
if (mr_mip->ERNUM) return;
MR_IN(176)
nres(_MIPP_ x,w->a);
nres(_MIPP_ y,w->b);
nres(_MIPP_ z,w->c);
MR_OUT
}
void zzn3_from_zzn(big x,zzn3 *w)
{
copy(x,w->a);
zero(w->b); zero(w->c);
}
void zzn3_from_zzn_1(big x,zzn3 *w)
{
copy(x,w->b);
zero(w->a); zero(w->c);
}
void zzn3_from_zzn_2(big x,zzn3 *w)
{
copy(x,w->c);
zero(w->a); zero(w->b);
}
void zzn3_from_big(_MIPD_ big x, zzn3 *w)
{
#ifdef MR_OS_THREADS
miracl *mr_mip=get_mip();
#endif
if (mr_mip->ERNUM) return;
MR_IN(177)
nres(_MIPP_ x,w->a);
zero(w->b); zero(w->c);
MR_OUT
}
void zzn3_copy(zzn3 *x,zzn3 *w)
{
if (x==w) return;
copy(x->a,w->a);
copy(x->b,w->b);
copy(x->c,w->c);
}
void zzn3_zero(zzn3 *w)
{
zero(w->a);
zero(w->b);
zero(w->c);
}
void zzn3_negate(_MIPD_ zzn3 *x,zzn3 *w)
{
#ifdef MR_OS_THREADS
miracl *mr_mip=get_mip();
#endif
if (mr_mip->ERNUM) return;
MR_IN(177)
zzn3_copy(x,w);
nres_negate(_MIPP_ w->a,w->a);
nres_negate(_MIPP_ w->b,w->b);
nres_negate(_MIPP_ w->c,w->c);
MR_OUT
}
void zzn3_powq(_MIPD_ zzn3 *x,zzn3 *w)
{ /* sru - precalculated sixth root of unity */
#ifdef MR_OS_THREADS
miracl *mr_mip=get_mip();
#endif
MR_IN(178)
zzn3_copy(x,w);
nres_modmult(_MIPP_ mr_mip->sru,mr_mip->sru,mr_mip->w1); /* cube root of unity */
nres_modmult(_MIPP_ w->b,mr_mip->w1,w->b);
nres_modmult(_MIPP_ w->c,mr_mip->w1,w->c);
nres_modmult(_MIPP_ w->c,mr_mip->w1,w->c);
MR_OUT
}
void zzn3_set(_MIPD_ int cnr,big sru)
{
#ifdef MR_OS_THREADS
miracl *mr_mip=get_mip();
#endif
mr_mip->cnr=cnr;
nres(_MIPP_ sru,mr_mip->sru);
}
void zzn3_add(_MIPD_ zzn3 *x,zzn3 *y,zzn3 *w)
{
#ifdef MR_OS_THREADS
miracl *mr_mip=get_mip();
#endif
if (mr_mip->ERNUM) return;
MR_IN(180)
nres_modadd(_MIPP_ x->a,y->a,w->a);
nres_modadd(_MIPP_ x->b,y->b,w->b);
nres_modadd(_MIPP_ x->c,y->c,w->c);
MR_OUT
}
void zzn3_sadd(_MIPD_ zzn3 *x,big y,zzn3 *w)
{
#ifdef MR_OS_THREADS
miracl *mr_mip=get_mip();
#endif
if (mr_mip->ERNUM) return;
MR_IN(181)
nres_modadd(_MIPP_ x->a,y,w->a);
MR_OUT
}
void zzn3_sub(_MIPD_ zzn3 *x,zzn3 *y,zzn3 *w)
{
#ifdef MR_OS_THREADS
miracl *mr_mip=get_mip();
#endif
if (mr_mip->ERNUM) return;
MR_IN(182)
nres_modsub(_MIPP_ x->a,y->a,w->a);
nres_modsub(_MIPP_ x->b,y->b,w->b);
nres_modsub(_MIPP_ x->c,y->c,w->c);
MR_OUT
}
void zzn3_ssub(_MIPD_ zzn3 *x,big y,zzn3 *w)
{
#ifdef MR_OS_THREADS
miracl *mr_mip=get_mip();
#endif
if (mr_mip->ERNUM) return;
MR_IN(183)
nres_modsub(_MIPP_ x->a,y,w->a);
MR_OUT
}
void zzn3_smul(_MIPD_ zzn3 *x,big y,zzn3 *w)
{
#ifdef MR_OS_THREADS
miracl *mr_mip=get_mip();
#endif
if (mr_mip->ERNUM) return;
MR_IN(184)
if (size(x->a)!=0) nres_modmult(_MIPP_ x->a,y,w->a);
else zero(w->a);
if (size(x->b)!=0) nres_modmult(_MIPP_ x->b,y,w->b);
else zero(w->b);
if (size(x->c)!=0) nres_modmult(_MIPP_ x->c,y,w->c);
else zero(w->c);
MR_OUT
}
void zzn3_imul(_MIPD_ zzn3 *x,int y,zzn3 *w)
{
#ifdef MR_OS_THREADS
miracl *mr_mip=get_mip();
#endif
if (mr_mip->ERNUM) return;
MR_IN(185)
if (size(x->a)!=0) nres_premult(_MIPP_ x->a,y,w->a);
else zero(w->a);
if (size(x->b)!=0) nres_premult(_MIPP_ x->b,y,w->b);
else zero(w->b);
if (size(x->c)!=0) nres_premult(_MIPP_ x->c,y,w->c);
else zero(w->c);
MR_OUT
}
void zzn3_mul(_MIPD_ zzn3 *x,zzn3 *y,zzn3 *w)
{
#ifdef MR_OS_THREADS
miracl *mr_mip=get_mip();
#endif
if (mr_mip->ERNUM) return;
MR_IN(186)
if (x==y)
{ /* Chung-Hasan SQR2 */
nres_modmult(_MIPP_ x->a,x->a,mr_mip->w1);
nres_modmult(_MIPP_ x->b,x->c,mr_mip->w2);
nres_modadd(_MIPP_ mr_mip->w2,mr_mip->w2,mr_mip->w2);
nres_modmult(_MIPP_ x->c,x->c,mr_mip->w3);
nres_modmult(_MIPP_ x->a,x->b,mr_mip->w4);
nres_modadd(_MIPP_ mr_mip->w4,mr_mip->w4,mr_mip->w4);
nres_modadd(_MIPP_ x->a,x->b,mr_mip->w5);
nres_modadd(_MIPP_ mr_mip->w5,x->c,w->c);
nres_modmult(_MIPP_ w->c,w->c,w->c);
nres_premult(_MIPP_ mr_mip->w2,mr_mip->cnr,w->a);
nres_modadd(_MIPP_ mr_mip->w1,w->a,w->a);
nres_premult(_MIPP_ mr_mip->w3,mr_mip->cnr,w->b);
nres_modadd(_MIPP_ mr_mip->w4,w->b,w->b);
nres_modsub(_MIPP_ w->c,mr_mip->w1,w->c);
nres_modsub(_MIPP_ w->c,mr_mip->w2,w->c);
nres_modsub(_MIPP_ w->c,mr_mip->w3,w->c);
nres_modsub(_MIPP_ w->c,mr_mip->w4,w->c);
}
else
{
nres_modmult(_MIPP_ x->a,y->a,mr_mip->w1); /* Z0 */
nres_modmult(_MIPP_ x->b,y->b,mr_mip->w2); /* Z2 */
nres_modmult(_MIPP_ x->c,y->c,mr_mip->w3); /* Z4 */
nres_modadd(_MIPP_ x->a,x->b,mr_mip->w4);
nres_modadd(_MIPP_ y->a,y->b,mr_mip->w5);
nres_modmult(_MIPP_ mr_mip->w4,mr_mip->w5,mr_mip->w6); /* Z1 */
nres_modsub(_MIPP_ mr_mip->w6,mr_mip->w1,mr_mip->w6);
nres_modsub(_MIPP_ mr_mip->w6,mr_mip->w2,mr_mip->w6);
nres_modadd(_MIPP_ x->b,x->c,mr_mip->w4);
nres_modadd(_MIPP_ y->b,y->c,mr_mip->w5);
nres_modmult(_MIPP_ mr_mip->w4,mr_mip->w5,w->b); /* Z3 */
nres_modadd(_MIPP_ x->a,x->c,mr_mip->w4);
nres_modadd(_MIPP_ y->a,y->c,mr_mip->w5);
nres_modsub(_MIPP_ w->b,mr_mip->w2,w->b);
nres_modsub(_MIPP_ w->b,mr_mip->w3,w->b);
nres_premult(_MIPP_ w->b,mr_mip->cnr,w->a);
nres_modmult(_MIPP_ mr_mip->w4,mr_mip->w5,mr_mip->w4);
nres_modadd(_MIPP_ mr_mip->w2,mr_mip->w4,mr_mip->w2);
nres_modsub(_MIPP_ mr_mip->w2,mr_mip->w1,mr_mip->w2);
nres_modsub(_MIPP_ mr_mip->w2,mr_mip->w3,w->c);
nres_modadd(_MIPP_ w->a,mr_mip->w1,w->a);
nres_premult(_MIPP_ mr_mip->w3,mr_mip->cnr,w->b);
nres_modadd(_MIPP_ w->b,mr_mip->w6,w->b);
}
MR_OUT
}
void zzn3_inv(_MIPD_ zzn3 *w)
{
#ifdef MR_OS_THREADS
miracl *mr_mip=get_mip();
#endif
if (mr_mip->ERNUM) return;
MR_IN(187)
nres_modmult(_MIPP_ w->a,w->a,mr_mip->w1);
nres_modmult(_MIPP_ w->b,w->c,mr_mip->w2);
nres_premult(_MIPP_ mr_mip->w2,mr_mip->cnr,mr_mip->w2);
nres_modsub(_MIPP_ mr_mip->w1,mr_mip->w2,mr_mip->w3);
nres_modmult(_MIPP_ w->c,w->c,mr_mip->w1);
nres_modmult(_MIPP_ w->a,w->b,mr_mip->w2);
nres_premult(_MIPP_ mr_mip->w1,mr_mip->cnr,mr_mip->w1);
nres_modsub(_MIPP_ mr_mip->w2,mr_mip->w1,mr_mip->w4);
nres_negate(_MIPP_ mr_mip->w4,mr_mip->w4);
nres_modmult(_MIPP_ w->b,w->b,mr_mip->w1);
nres_modmult(_MIPP_ w->a,w->c,mr_mip->w2);
nres_modsub(_MIPP_ mr_mip->w1,mr_mip->w2,mr_mip->w5);
nres_modmult(_MIPP_ w->b,mr_mip->w5,mr_mip->w1);
nres_modmult(_MIPP_ w->c,mr_mip->w4,mr_mip->w2);
nres_modadd(_MIPP_ mr_mip->w2,mr_mip->w1,mr_mip->w2);
nres_premult(_MIPP_ mr_mip->w2,mr_mip->cnr,mr_mip->w2);
nres_modmult(_MIPP_ w->a,mr_mip->w3,mr_mip->w1);
nres_modadd(_MIPP_ mr_mip->w1,mr_mip->w2,mr_mip->w1);
copy(mr_mip->w3,w->a);
copy(mr_mip->w4,w->b);
copy(mr_mip->w5,w->c);
redc(_MIPP_ mr_mip->w1,mr_mip->w6);
invmodp(_MIPP_ mr_mip->w6,mr_mip->modulus,mr_mip->w6);
nres(_MIPP_ mr_mip->w6,mr_mip->w6);
nres_modmult(_MIPP_ w->a,mr_mip->w6,w->a);
nres_modmult(_MIPP_ w->b,mr_mip->w6,w->b);
nres_modmult(_MIPP_ w->c,mr_mip->w6,w->c);
MR_OUT
}
/* divide zzn3 by 2 */
void zzn3_div2(_MIPD_ zzn3 *w)
{
#ifdef MR_OS_THREADS
miracl *mr_mip=get_mip();
#endif
if (mr_mip->ERNUM) return;
MR_IN(188)
copy(w->a,mr_mip->w1);
if (remain(_MIPP_ mr_mip->w1,2)!=0)
add(_MIPP_ mr_mip->w1,mr_mip->modulus,mr_mip->w1);
subdiv(_MIPP_ mr_mip->w1,2,mr_mip->w1);
copy(mr_mip->w1,w->a);
copy(w->b,mr_mip->w1);
if (remain(_MIPP_ mr_mip->w1,2)!=0)
add(_MIPP_ mr_mip->w1,mr_mip->modulus,mr_mip->w1);
subdiv(_MIPP_ mr_mip->w1,2,mr_mip->w1);
copy(mr_mip->w1,w->b);
copy(w->c,mr_mip->w1);
if (remain(_MIPP_ mr_mip->w1,2)!=0)
add(_MIPP_ mr_mip->w1,mr_mip->modulus,mr_mip->w1);
subdiv(_MIPP_ mr_mip->w1,2,mr_mip->w1);
copy(mr_mip->w1,w->c);
MR_OUT
}
/* multiply zzn3 by i */
void zzn3_timesi(_MIPD_ zzn3 *u)
{
#ifdef MR_OS_THREADS
miracl *mr_mip=get_mip();
#endif
if (mr_mip->ERNUM) return;
MR_IN(189)
copy(u->a,mr_mip->w1);
nres_premult(_MIPP_ u->c,mr_mip->cnr,u->a);
copy(u->b,u->c);
copy(mr_mip->w1,u->b);
MR_OUT
}
/* multiply zzn3 by i^2 */
void zzn3_timesi2(_MIPD_ zzn3 *u)
{
#ifdef MR_OS_THREADS
miracl *mr_mip=get_mip();
#endif
if (mr_mip->ERNUM) return;
MR_IN(224)
copy(u->a,mr_mip->w1);
nres_premult(_MIPP_ u->b,mr_mip->cnr,u->a);
nres_premult(_MIPP_ u->c,mr_mip->cnr,u->b);
copy(mr_mip->w1,u->c);
MR_OUT
}
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