crypto/bn/rsaz_exp.c

   1 /*****************************************************************************
   2 *                                                                            *
   3 *  Copyright (c) 2012, Intel Corporation                                     *
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  13 *                                                                            *
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  20 *     contributors may be used to endorse or promote products derived from   *
  21 *     this software without specific prior written permission.               *
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  24 *  THIS SOFTWARE IS PROVIDED BY INTEL CORPORATION ""AS IS"" AND ANY          *
  25 *  EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE         *
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  31 *  PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF    *
  32 *  LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING      *
  33 *  NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS        *
  34 *  SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.              *
  35 *                                                                            *
  36 ******************************************************************************
  37 * Developers and authors:                                                    *
  38 * Shay Gueron (1, 2), and Vlad Krasnov (1)                                   *
  39 * (1) Intel Corporation, Israel Development Center, Haifa, Israel            *
  40 * (2) University of Haifa, Israel                                            *
  41 *****************************************************************************/
  42
  43 #include "rsaz_exp.h"
  44
  45 /*
  46  * See crypto/bn/asm/rsaz-avx2.pl for further details.
  47  */
  48 void rsaz_1024_norm2red_avx2(void *red,const void *norm);
  49 void rsaz_1024_mul_avx2(void *ret,const void *a,const void *b,const void *n,BN_ULONG k);
  50 void rsaz_1024_sqr_avx2(void *ret,const void *a,const void *n,BN_ULONG k,int cnt);
  51 void rsaz_1024_scatter5_avx2(void *tbl,const void *val,int i);
  52 void rsaz_1024_gather5_avx2(void *val,const void *tbl,int i);
  53 void rsaz_1024_red2norm_avx2(void *norm,const void *red);
  54
  55 #if defined(__GNUC__)
  56 # define ALIGN64        __attribute__((aligned(64)))
  57 #elif defined(_MSC_VER)
  58 # define ALIGN64        __declspec(align(64))
  59 #elif defined(__SUNPRO_C)
  60 # define ALIGN64
  61 # pragma align 64(one,two80)
  62 #else
  63 # define ALIGN64        /* not fatal, might hurt performance a little */
  64 #endif
  65
  66 ALIGN64 static const BN_ULONG one[40] =
  67         {1,0,0,    0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
  68 ALIGN64 static const BN_ULONG two80[40] =
  69         {0,0,1<<22,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
  70
  71 void RSAZ_1024_mod_exp_avx2(BN_ULONG result_norm[16],
  72         const BN_ULONG base_norm[16], const BN_ULONG exponent[16],
  73         const BN_ULONG m_norm[16], const BN_ULONG RR[16], BN_ULONG k0)
  74 {
  75         unsigned char    storage[320*3+32*9*16+64];     /* 5.5KB */
  76         unsigned char   *p_str = storage + (64-((size_t)storage%64));
  77         unsigned char   *a_inv, *m, *result,
  78                         *table_s = p_str+320*3,
  79                         *R2      = table_s;     /* borrow */
  80         int index;
  81         int wvalue;
  82
  83         if ((((size_t)p_str&4095)+320)>>12) {
  84                 result = p_str;
  85                 a_inv = p_str + 320;
  86                 m = p_str + 320*2;      /* should not cross page */
  87         } else {
  88                 m = p_str;              /* should not cross page */
  89                 result = p_str + 320;
  90                 a_inv = p_str + 320*2;
  91         }
  92
  93         rsaz_1024_norm2red_avx2(m, m_norm);
  94         rsaz_1024_norm2red_avx2(a_inv, base_norm);
  95         rsaz_1024_norm2red_avx2(R2, RR);
  96
  97         rsaz_1024_mul_avx2(R2, R2, R2, m, k0);
  98         rsaz_1024_mul_avx2(R2, R2, two80, m, k0);
  99
 100         /* table[0] = 1 */
 101         rsaz_1024_mul_avx2(result, R2, one, m, k0);
 102         /* table[1] = a_inv^1 */
 103         rsaz_1024_mul_avx2(a_inv, a_inv, R2, m, k0);
 104
 105         rsaz_1024_scatter5_avx2(table_s,result,0);
 106         rsaz_1024_scatter5_avx2(table_s,a_inv,1);
 107
 108         /* table[2] = a_inv^2 */
 109         rsaz_1024_sqr_avx2(result, a_inv, m, k0, 1);
 110         rsaz_1024_scatter5_avx2(table_s,result,2);
 111 #if 0
 112         /* this is almost 2x smaller and less than 1% slower */
 113         for (index=3; index<32; index++) {
 114                 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 115                 rsaz_1024_scatter5_avx2(table_s,result,index);
 116         }
 117 #else
 118         /* table[4] = a_inv^4 */
 119         rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 120         rsaz_1024_scatter5_avx2(table_s,result,4);
 121         /* table[8] = a_inv^8 */
 122         rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 123         rsaz_1024_scatter5_avx2(table_s,result,8);
 124         /* table[16] = a_inv^16 */
 125         rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 126         rsaz_1024_scatter5_avx2(table_s,result,16);
 127         /* table[17] = a_inv^17 */
 128         rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 129         rsaz_1024_scatter5_avx2(table_s,result,17);
 130
 131         /* table[3] */
 132         rsaz_1024_gather5_avx2(result,table_s,2);
 133         rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
 134         rsaz_1024_scatter5_avx2(table_s,result,3);
 135         /* table[6] */
 136         rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 137         rsaz_1024_scatter5_avx2(table_s,result,6);
 138         /* table[12] */
 139         rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 140         rsaz_1024_scatter5_avx2(table_s,result,12);
 141         /* table[24] */
 142         rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 143         rsaz_1024_scatter5_avx2(table_s,result,24);
 144         /* table[25] */
 145         rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 146         rsaz_1024_scatter5_avx2(table_s,result,25);
 147
 148         /* table[5] */
 149         rsaz_1024_gather5_avx2(result,table_s,4);
 150         rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
 151         rsaz_1024_scatter5_avx2(table_s,result,5);
 152         /* table[10] */
 153         rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 154         rsaz_1024_scatter5_avx2(table_s,result,10);
 155         /* table[20] */
 156         rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 157         rsaz_1024_scatter5_avx2(table_s,result,20);
 158         /* table[21] */
 159         rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 160         rsaz_1024_scatter5_avx2(table_s,result,21);
 161
 162         /* table[7] */
 163         rsaz_1024_gather5_avx2(result,table_s,6);
 164         rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
 165         rsaz_1024_scatter5_avx2(table_s,result,7);
 166         /* table[14] */
 167         rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 168         rsaz_1024_scatter5_avx2(table_s,result,14);
 169         /* table[28] */
 170         rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 171         rsaz_1024_scatter5_avx2(table_s,result,28);
 172         /* table[29] */
 173         rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 174         rsaz_1024_scatter5_avx2(table_s,result,29);
 175
 176         /* table[9] */
 177         rsaz_1024_gather5_avx2(result,table_s,8);
 178         rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
 179         rsaz_1024_scatter5_avx2(table_s,result,9);
 180         /* table[18] */
 181         rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 182         rsaz_1024_scatter5_avx2(table_s,result,18);
 183         /* table[19] */
 184         rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 185         rsaz_1024_scatter5_avx2(table_s,result,19);
 186
 187         /* table[11] */
 188         rsaz_1024_gather5_avx2(result,table_s,10);
 189         rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
 190         rsaz_1024_scatter5_avx2(table_s,result,11);
 191         /* table[22] */
 192         rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 193         rsaz_1024_scatter5_avx2(table_s,result,22);
 194         /* table[23] */
 195         rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 196         rsaz_1024_scatter5_avx2(table_s,result,23);
 197
 198         /* table[13] */
 199         rsaz_1024_gather5_avx2(result,table_s,12);
 200         rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
 201         rsaz_1024_scatter5_avx2(table_s,result,13);
 202         /* table[26] */
 203         rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 204         rsaz_1024_scatter5_avx2(table_s,result,26);
 205         /* table[27] */
 206         rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 207         rsaz_1024_scatter5_avx2(table_s,result,27);
 208
 209         /* table[15] */
 210         rsaz_1024_gather5_avx2(result,table_s,14);
 211         rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
 212         rsaz_1024_scatter5_avx2(table_s,result,15);
 213         /* table[30] */
 214         rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 215         rsaz_1024_scatter5_avx2(table_s,result,30);
 216         /* table[31] */
 217         rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 218         rsaz_1024_scatter5_avx2(table_s,result,31);
 219 #endif
 220
 221         /* load first window */
 222         p_str = (unsigned char*)exponent;
 223         wvalue = p_str[127] >> 3;
 224         rsaz_1024_gather5_avx2(result,table_s,wvalue);
 225
 226         index = 1014;
 227
 228         while(index > -1) {     /* loop for the remaining 127 windows */
 229
 230                 rsaz_1024_sqr_avx2(result, result, m, k0, 5);
 231
 232                 wvalue = *((unsigned short*)&p_str[index/8]);
 233                 wvalue = (wvalue>> (index%8)) & 31;
 234                 index-=5;
 235
 236                 rsaz_1024_gather5_avx2(a_inv,table_s,wvalue);   /* borrow a_inv */
 237                 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 238         }
 239
 240         /* square four times */
 241         rsaz_1024_sqr_avx2(result, result, m, k0, 4);
 242
 243         wvalue = p_str[0] & 15;
 244
 245         rsaz_1024_gather5_avx2(a_inv,table_s,wvalue);   /* borrow a_inv */
 246         rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 247
 248         /* from Montgomery */
 249         rsaz_1024_mul_avx2(result, result, one, m, k0);
 250
 251         rsaz_1024_red2norm_avx2(result_norm, result);
 252
 253         OPENSSL_cleanse(storage,sizeof(storage));
 254 }
 255
 256 /*
 257  * See crypto/bn/rsaz-x86_64.pl for further details.
 258  */
 259 void rsaz_512_mul(void *ret,const void *a,const void *b,const void *n,BN_ULONG k);
 260 void rsaz_512_mul_scatter4(void *ret,const void *a,const void *n,BN_ULONG k,const void *tbl,unsigned int power);
 261 void rsaz_512_mul_gather4(void *ret,const void *a,const void *tbl,const void *n,BN_ULONG k,unsigned int power);
 262 void rsaz_512_mul_by_one(void *ret,const void *a,const void *n,BN_ULONG k);
 263 void rsaz_512_sqr(void *ret,const void *a,const void *n,BN_ULONG k,int cnt);
 264 void rsaz_512_scatter4(void *tbl, const BN_ULONG *val, int power);
 265 void rsaz_512_gather4(BN_ULONG *val, const void *tbl, int power);
 266
 267 void RSAZ_512_mod_exp(BN_ULONG result[8],
 268         const BN_ULONG base[8], const BN_ULONG exponent[8],
 269         const BN_ULONG m[8], BN_ULONG k0, const BN_ULONG RR[8])
 270 {
 271         unsigned char    storage[16*8*8+64*2+64];       /* 1.2KB */
 272         unsigned char   *table = storage + (64-((size_t)storage%64));
 273         BN_ULONG        *a_inv = (BN_ULONG *)(table+16*8*8),
 274                         *temp  = (BN_ULONG *)(table+16*8*8+8*8);
 275         unsigned char   *p_str = (unsigned char*)exponent;
 276         int index;
 277         unsigned int wvalue;
 278
 279         /* table[0] = 1_inv */
 280         temp[0] = 0-m[0];       temp[1] = ~m[1];
 281         temp[2] = ~m[2];        temp[3] = ~m[3];
 282         temp[4] = ~m[4];        temp[5] = ~m[5];
 283         temp[6] = ~m[6];        temp[7] = ~m[7];
 284         rsaz_512_scatter4(table, temp, 0);
 285
 286         /* table [1] = a_inv^1 */
 287         rsaz_512_mul(a_inv, base, RR, m, k0);
 288         rsaz_512_scatter4(table, a_inv, 1);
 289
 290         /* table [2] = a_inv^2 */
 291         rsaz_512_sqr(temp, a_inv, m, k0, 1);
 292         rsaz_512_scatter4(table, temp, 2);
 293
 294         for (index=3; index<16; index++)
 295                 rsaz_512_mul_scatter4(temp, a_inv, m, k0, table, index);
 296
 297         /* load first window */
 298         wvalue = p_str[63];
 299
 300         rsaz_512_gather4(temp, table, wvalue>>4);
 301         rsaz_512_sqr(temp, temp, m, k0, 4);
 302         rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue&0xf);
 303
 304         for (index=62; index>=0; index--) {
 305                 wvalue = p_str[index];
 306
 307                 rsaz_512_sqr(temp, temp, m, k0, 4);
 308                 rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue>>4);
 309
 310                 rsaz_512_sqr(temp, temp, m, k0, 4);
 311                 rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue&0x0f);
 312         }
 313
 314         /* from Montgomery */
 315         rsaz_512_mul_by_one(result, temp, m, k0);
 316
 317         OPENSSL_cleanse(storage,sizeof(storage));
 318 }