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/*******************************************************************************
* Copyright 2010-2018 Intel Corporation
* All Rights Reserved.
*
* If this software was obtained under the Intel Simplified Software License,
* the following terms apply:
*
* The source code, information and material ("Material") contained herein is
* owned by Intel Corporation or its suppliers or licensors, and title to such
* Material remains with Intel Corporation or its suppliers or licensors. The
* Material contains proprietary information of Intel or its suppliers and
* licensors. The Material is protected by worldwide copyright laws and treaty
* provisions. No part of the Material may be used, copied, reproduced,
* modified, published, uploaded, posted, transmitted, distributed or disclosed
* in any way without Intel's prior express written permission. No license under
* any patent, copyright or other intellectual property rights in the Material
* is granted to or conferred upon you, either expressly, by implication,
* inducement, estoppel or otherwise. Any license under such intellectual
* property rights must be express and approved by Intel in writing.
*
* Unless otherwise agreed by Intel in writing, you may not remove or alter this
* notice or any other notice embedded in Materials by Intel or Intel's
* suppliers or licensors in any way.
*
*
* If this software was obtained under the Apache License, Version 2.0 (the
* "License"), the following terms apply:
*
* You may not use this file except in compliance with the License. You may
* obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0
*
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
*
* See the License for the specific language governing permissions and
* limitations under the License.
*******************************************************************************/
/*
//
// Purpose:
// Intel(R) Integrated Performance Primitives. Cryptography Primitives.
// Internal EC over GF(p^m) basic Definitions & Function Prototypes
//
// Context:
// gfec_point_add()
//
*/
#include "owndefs.h"
#include "owncp.h"
#include "pcpgfpecstuff.h"
#include "pcpmask_ct.h"
#if ( ECP_PROJECTIVE_COORD == JACOBIAN )
/*
// S1 = y1*z2^3
// S2 = y2*z1^3
//
// U1 = x1*z2^2
// U2 = x2*z1^2
// R = S2-S1
// H = U2-U1
//
// x3 = -H^3 -2*U1*H^2 +R2
// y3 = -S1*H^3 +R*(U1*H^2 -x3)
// z3 = z1*z2*H
//
// complexity = 4s+12m
*/
void gfec_point_add(BNU_CHUNK_T* pRdata, const BNU_CHUNK_T* pPdata, const BNU_CHUNK_T* pQdata, IppsGFpECState* pEC)
{
IppsGFpState* pGF = ECP_GFP(pEC);
gsModEngine* pGFE = GFP_PMA(pGF);
int elemLen = GFP_FELEN(pGFE);
mod_sub sub = GFP_METHOD(pGFE)->sub; /* gf sub */
mod_mul2 mul2= GFP_METHOD(pGFE)->mul2; /* gf mul2 */
mod_mul mul = GFP_METHOD(pGFE)->mul; /* gf mul */
mod_sqr sqr = GFP_METHOD(pGFE)->sqr; /* gf sqr */
/* coordinates of P */
const BNU_CHUNK_T* px1 = pPdata;
const BNU_CHUNK_T* py1 = pPdata+elemLen;
const BNU_CHUNK_T* pz1 = pPdata+2*elemLen;
/* coordinates of Q */
const BNU_CHUNK_T* px2 = pQdata;
const BNU_CHUNK_T* py2 = pQdata+elemLen;
const BNU_CHUNK_T* pz2 = pQdata+2*elemLen;
BNU_CHUNK_T inftyP = GFPE_IS_ZERO_CT(pz1, elemLen);
BNU_CHUNK_T inftyQ = GFPE_IS_ZERO_CT(pz2, elemLen);
/* get temporary from top of EC point pool */
BNU_CHUNK_T* U1 = pEC->pPool;
BNU_CHUNK_T* U2 = U1 + elemLen;
BNU_CHUNK_T* S1 = U2 + elemLen;
BNU_CHUNK_T* S2 = S1 + elemLen;
BNU_CHUNK_T* H = S2 + elemLen;
BNU_CHUNK_T* R = H + elemLen;
BNU_CHUNK_T* pRx = R + elemLen; /* temporary result */
BNU_CHUNK_T* pRy = pRx+ elemLen;
BNU_CHUNK_T* pRz = pRy+ elemLen;
mul(S1, py1, pz2, pGFE); // S1 = Y1*Z2
sqr(U1, pz2, pGFE); // U1 = Z2^2
mul(S2, py2, pz1, pGFE); // S2 = Y2*Z1
sqr(U2, pz1, pGFE); // U2 = Z1^2
mul(S1, S1, U1, pGFE); // S1 = Y1*Z2^3
mul(S2, S2, U2, pGFE); // S2 = Y2*Z1^3
mul(U1, px1, U1, pGFE); // U1 = X1*Z2^2
mul(U2, px2, U2, pGFE); // U2 = X2*Z1^2
sub(R, S2, S1, pGFE); // R = S2-S1
sub(H, U2, U1, pGFE); // H = U2-U1
{
BNU_CHUNK_T mask_zeroH = GFPE_IS_ZERO_CT(H, elemLen);
BNU_CHUNK_T mask = mask_zeroH & ~inftyP & ~inftyQ;
if(mask) {
if( GFPE_IS_ZERO_CT(R, elemLen) )
gfec_point_double(pRdata, pPdata, pEC);
else
cpGFpElementPadd(pRdata, 3*elemLen, 0);
return;
}
}
mul(pRz, pz1, pz2, pGFE); // Z3 = Z1*Z2
sqr(U2, H, pGFE); // U2 = H^2
mul(pRz, pRz, H, pGFE); // Z3 = (Z1*Z2)*H
sqr(S2, R, pGFE); // S2 = R^2
mul(H, H, U2, pGFE); // H = H^3
mul(U1, U1, U2, pGFE); // U1 = U1*H^2
sub(pRx, S2, H, pGFE); // X3 = R^2 - H^3
mul2(U2, U1, pGFE); // U2 = 2*U1*H^2
mul(S1, S1, H, pGFE); // S1 = S1*H^3
sub(pRx, pRx, U2, pGFE); // X3 = (R^2 - H^3) -2*U1*H^2
sub(pRy, U1, pRx, pGFE); // Y3 = R*(U1*H^2 - X3) -S1*H^3
mul(pRy, pRy, R, pGFE);
sub(pRy, pRy, S1, pGFE);
cpMaskedReplace_ct(pRx, px2, elemLen*3, inftyP);
cpMaskedReplace_ct(pRx, px1, elemLen*3, inftyQ);
cpGFpElementCopy(pRdata, pRx, 3*elemLen);
}
#endif
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