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-rw-r--r--nss/lib/freebl/mpi/montmulf.c441
1 files changed, 216 insertions, 225 deletions
diff --git a/nss/lib/freebl/mpi/montmulf.c b/nss/lib/freebl/mpi/montmulf.c
index 3f93d3e..ce8fbc3 100644
--- a/nss/lib/freebl/mpi/montmulf.c
+++ b/nss/lib/freebl/mpi/montmulf.c
@@ -6,11 +6,11 @@
#define RF_INLINE_MACROS 1
#endif
-static const double TwoTo16=65536.0;
-static const double TwoToMinus16=1.0/65536.0;
-static const double Zero=0.0;
-static const double TwoTo32=65536.0*65536.0;
-static const double TwoToMinus32=1.0/(65536.0*65536.0);
+static const double TwoTo16 = 65536.0;
+static const double TwoToMinus16 = 1.0 / 65536.0;
+static const double Zero = 0.0;
+static const double TwoTo32 = 65536.0 * 65536.0;
+static const double TwoToMinus32 = 1.0 / (65536.0 * 65536.0);
#ifdef RF_INLINE_MACROS
@@ -18,13 +18,12 @@ double upper32(double);
double lower32(double, double);
double mod(double, double, double);
-void i16_to_d16_and_d32x4(const double * /*1/(2^16)*/,
- const double * /* 2^16*/,
- const double * /* 0 */,
- double * /*result16*/,
- double * /* result32 */,
- float * /*source - should be unsigned int*
- converted to float* */);
+void i16_to_d16_and_d32x4(const double * /*1/(2^16)*/,
+ const double * /* 2^16*/,
+ const double * /* 0 */,
+ double * /*result16*/,
+ double * /* result32 */,
+ float * /*source - should be unsigned int* converted to float* */);
#else
#ifdef MP_USE_FLOOR
@@ -33,263 +32,255 @@ void i16_to_d16_and_d32x4(const double * /*1/(2^16)*/,
#define floor(d) ((double)((unsigned long long)(d)))
#endif
-static double upper32(double x)
+static double
+upper32(double x)
{
- return floor(x*TwoToMinus32);
+ return floor(x * TwoToMinus32);
}
-static double lower32(double x, double y)
+static double
+lower32(double x, double y)
{
- return x-TwoTo32*floor(x*TwoToMinus32);
+ return x - TwoTo32 * floor(x * TwoToMinus32);
}
-static double mod(double x, double oneoverm, double m)
+static double
+mod(double x, double oneoverm, double m)
{
- return x-m*floor(x*oneoverm);
+ return x - m * floor(x * oneoverm);
}
#endif
-
-static void cleanup(double *dt, int from, int tlen)
+static void
+cleanup(double *dt, int from, int tlen)
{
- int i;
- double tmp,tmp1,x,x1;
-
- tmp=tmp1=Zero;
- /* original code **
- for(i=2*from;i<2*tlen-2;i++)
- {
- x=dt[i];
- dt[i]=lower32(x,Zero)+tmp1;
- tmp1=tmp;
- tmp=upper32(x);
- }
- dt[tlen-2]+=tmp1;
- dt[tlen-1]+=tmp;
- **end original code ***/
- /* new code ***/
- for(i=2*from;i<2*tlen;i+=2)
- {
- x=dt[i];
- x1=dt[i+1];
- dt[i]=lower32(x,Zero)+tmp;
- dt[i+1]=lower32(x1,Zero)+tmp1;
- tmp=upper32(x);
- tmp1=upper32(x1);
- }
- /** end new code **/
-}
+ int i;
+ double tmp, tmp1, x, x1;
+ tmp = tmp1 = Zero;
+ /* original code **
+ for(i=2*from;i<2*tlen-2;i++)
+ {
+ x=dt[i];
+ dt[i]=lower32(x,Zero)+tmp1;
+ tmp1=tmp;
+ tmp=upper32(x);
+ }
+ dt[tlen-2]+=tmp1;
+ dt[tlen-1]+=tmp;
+ **end original code ***/
+ /* new code ***/
+ for (i = 2 * from; i < 2 * tlen; i += 2) {
+ x = dt[i];
+ x1 = dt[i + 1];
+ dt[i] = lower32(x, Zero) + tmp;
+ dt[i + 1] = lower32(x1, Zero) + tmp1;
+ tmp = upper32(x);
+ tmp1 = upper32(x1);
+ }
+ /** end new code **/
+}
-void conv_d16_to_i32(unsigned int *i32, double *d16, long long *tmp, int ilen)
+void
+conv_d16_to_i32(unsigned int *i32, double *d16, long long *tmp, int ilen)
{
-int i;
-long long t, t1, a, b, c, d;
-
- t1=0;
- a=(long long)d16[0];
- b=(long long)d16[1];
- for(i=0; i<ilen-1; i++)
- {
- c=(long long)d16[2*i+2];
- t1+=(unsigned int)a;
- t=(a>>32);
- d=(long long)d16[2*i+3];
- t1+=(b&0xffff)<<16;
- t+=(b>>16)+(t1>>32);
- i32[i]=(unsigned int)t1;
- t1=t;
- a=c;
- b=d;
- }
- t1+=(unsigned int)a;
- t=(a>>32);
- t1+=(b&0xffff)<<16;
- i32[i]=(unsigned int)t1;
+ int i;
+ long long t, t1, a, b, c, d;
+
+ t1 = 0;
+ a = (long long)d16[0];
+ b = (long long)d16[1];
+ for (i = 0; i < ilen - 1; i++) {
+ c = (long long)d16[2 * i + 2];
+ t1 += (unsigned int)a;
+ t = (a >> 32);
+ d = (long long)d16[2 * i + 3];
+ t1 += (b & 0xffff) << 16;
+ t += (b >> 16) + (t1 >> 32);
+ i32[i] = (unsigned int)t1;
+ t1 = t;
+ a = c;
+ b = d;
+ }
+ t1 += (unsigned int)a;
+ t = (a >> 32);
+ t1 += (b & 0xffff) << 16;
+ i32[i] = (unsigned int)t1;
}
-void conv_i32_to_d32(double *d32, unsigned int *i32, int len)
+void
+conv_i32_to_d32(double *d32, unsigned int *i32, int len)
{
-int i;
+ int i;
#pragma pipeloop(0)
- for(i=0;i<len;i++) d32[i]=(double)(i32[i]);
+ for (i = 0; i < len; i++)
+ d32[i] = (double)(i32[i]);
}
-
-void conv_i32_to_d16(double *d16, unsigned int *i32, int len)
+void
+conv_i32_to_d16(double *d16, unsigned int *i32, int len)
{
-int i;
-unsigned int a;
+ int i;
+ unsigned int a;
#pragma pipeloop(0)
- for(i=0;i<len;i++)
- {
- a=i32[i];
- d16[2*i]=(double)(a&0xffff);
- d16[2*i+1]=(double)(a>>16);
- }
+ for (i = 0; i < len; i++) {
+ a = i32[i];
+ d16[2 * i] = (double)(a & 0xffff);
+ d16[2 * i + 1] = (double)(a >> 16);
+ }
}
-
-void conv_i32_to_d32_and_d16(double *d32, double *d16,
- unsigned int *i32, int len)
+void
+conv_i32_to_d32_and_d16(double *d32, double *d16,
+ unsigned int *i32, int len)
{
-int i = 0;
-unsigned int a;
+ int i = 0;
+ unsigned int a;
#pragma pipeloop(0)
#ifdef RF_INLINE_MACROS
- for(;i<len-3;i+=4)
- {
- i16_to_d16_and_d32x4(&TwoToMinus16, &TwoTo16, &Zero,
- &(d16[2*i]), &(d32[i]), (float *)(&(i32[i])));
- }
+ for (; i < len - 3; i += 4) {
+ i16_to_d16_and_d32x4(&TwoToMinus16, &TwoTo16, &Zero,
+ &(d16[2 * i]), &(d32[i]), (float *)(&(i32[i])));
+ }
#endif
- for(;i<len;i++)
- {
- a=i32[i];
- d32[i]=(double)(i32[i]);
- d16[2*i]=(double)(a&0xffff);
- d16[2*i+1]=(double)(a>>16);
- }
+ for (; i < len; i++) {
+ a = i32[i];
+ d32[i] = (double)(i32[i]);
+ d16[2 * i] = (double)(a & 0xffff);
+ d16[2 * i + 1] = (double)(a >> 16);
+ }
}
-
-void adjust_montf_result(unsigned int *i32, unsigned int *nint, int len)
+void
+adjust_montf_result(unsigned int *i32, unsigned int *nint, int len)
{
-long long acc;
-int i;
-
- if(i32[len]>0) i=-1;
- else
- {
- for(i=len-1; i>=0; i--)
- {
- if(i32[i]!=nint[i]) break;
- }
- }
- if((i<0)||(i32[i]>nint[i]))
- {
- acc=0;
- for(i=0;i<len;i++)
- {
- acc=acc+(unsigned long long)(i32[i])-(unsigned long long)(nint[i]);
- i32[i]=(unsigned int)acc;
- acc=acc>>32;
- }
- }
+ long long acc;
+ int i;
+
+ if (i32[len] > 0)
+ i = -1;
+ else {
+ for (i = len - 1; i >= 0; i--) {
+ if (i32[i] != nint[i])
+ break;
+ }
+ }
+ if ((i < 0) || (i32[i] > nint[i])) {
+ acc = 0;
+ for (i = 0; i < len; i++) {
+ acc = acc + (unsigned long long)(i32[i]) - (unsigned long long)(nint[i]);
+ i32[i] = (unsigned int)acc;
+ acc = acc >> 32;
+ }
+ }
}
-
-
-
/*
** the lengths of the input arrays should be at least the following:
** result[nlen+1], dm1[nlen], dm2[2*nlen+1], dt[4*nlen+2], dn[nlen], nint[nlen]
** all of them should be different from one another
**
*/
-void mont_mulf_noconv(unsigned int *result,
- double *dm1, double *dm2, double *dt,
- double *dn, unsigned int *nint,
- int nlen, double dn0)
+void
+mont_mulf_noconv(unsigned int *result,
+ double *dm1, double *dm2, double *dt,
+ double *dn, unsigned int *nint,
+ int nlen, double dn0)
{
- int i, j, jj;
- int tmp;
- double digit, m2j, nextm2j, a, b;
- double *dptmp, *pdm1, *pdm2, *pdn, *pdtj, pdn_0, pdm1_0;
-
- pdm1=&(dm1[0]);
- pdm2=&(dm2[0]);
- pdn=&(dn[0]);
- pdm2[2*nlen]=Zero;
-
- if (nlen!=16)
- {
- for(i=0;i<4*nlen+2;i++) dt[i]=Zero;
-
- a=dt[0]=pdm1[0]*pdm2[0];
- digit=mod(lower32(a,Zero)*dn0,TwoToMinus16,TwoTo16);
-
- pdtj=&(dt[0]);
- for(j=jj=0;j<2*nlen;j++,jj++,pdtj++)
- {
- m2j=pdm2[j];
- a=pdtj[0]+pdn[0]*digit;
- b=pdtj[1]+pdm1[0]*pdm2[j+1]+a*TwoToMinus16;
- pdtj[1]=b;
+ int i, j, jj;
+ int tmp;
+ double digit, m2j, nextm2j, a, b;
+ double *dptmp, *pdm1, *pdm2, *pdn, *pdtj, pdn_0, pdm1_0;
+
+ pdm1 = &(dm1[0]);
+ pdm2 = &(dm2[0]);
+ pdn = &(dn[0]);
+ pdm2[2 * nlen] = Zero;
+
+ if (nlen != 16) {
+ for (i = 0; i < 4 * nlen + 2; i++)
+ dt[i] = Zero;
+
+ a = dt[0] = pdm1[0] * pdm2[0];
+ digit = mod(lower32(a, Zero) * dn0, TwoToMinus16, TwoTo16);
+
+ pdtj = &(dt[0]);
+ for (j = jj = 0; j < 2 * nlen; j++, jj++, pdtj++) {
+ m2j = pdm2[j];
+ a = pdtj[0] + pdn[0] * digit;
+ b = pdtj[1] + pdm1[0] * pdm2[j + 1] + a * TwoToMinus16;
+ pdtj[1] = b;
#pragma pipeloop(0)
- for(i=1;i<nlen;i++)
- {
- pdtj[2*i]+=pdm1[i]*m2j+pdn[i]*digit;
- }
- if((jj==30)) {cleanup(dt,j/2+1,2*nlen+1); jj=0;}
-
- digit=mod(lower32(b,Zero)*dn0,TwoToMinus16,TwoTo16);
- }
- }
- else
- {
- a=dt[0]=pdm1[0]*pdm2[0];
-
- dt[65]= dt[64]= dt[63]= dt[62]= dt[61]= dt[60]=
- dt[59]= dt[58]= dt[57]= dt[56]= dt[55]= dt[54]=
- dt[53]= dt[52]= dt[51]= dt[50]= dt[49]= dt[48]=
- dt[47]= dt[46]= dt[45]= dt[44]= dt[43]= dt[42]=
- dt[41]= dt[40]= dt[39]= dt[38]= dt[37]= dt[36]=
- dt[35]= dt[34]= dt[33]= dt[32]= dt[31]= dt[30]=
- dt[29]= dt[28]= dt[27]= dt[26]= dt[25]= dt[24]=
- dt[23]= dt[22]= dt[21]= dt[20]= dt[19]= dt[18]=
- dt[17]= dt[16]= dt[15]= dt[14]= dt[13]= dt[12]=
- dt[11]= dt[10]= dt[ 9]= dt[ 8]= dt[ 7]= dt[ 6]=
- dt[ 5]= dt[ 4]= dt[ 3]= dt[ 2]= dt[ 1]=Zero;
-
- pdn_0=pdn[0];
- pdm1_0=pdm1[0];
-
- digit=mod(lower32(a,Zero)*dn0,TwoToMinus16,TwoTo16);
- pdtj=&(dt[0]);
-
- for(j=0;j<32;j++,pdtj++)
- {
-
- m2j=pdm2[j];
- a=pdtj[0]+pdn_0*digit;
- b=pdtj[1]+pdm1_0*pdm2[j+1]+a*TwoToMinus16;
- pdtj[1]=b;
-
- /**** this loop will be fully unrolled:
- for(i=1;i<16;i++)
- {
- pdtj[2*i]+=pdm1[i]*m2j+pdn[i]*digit;
- }
- *************************************/
- pdtj[2]+=pdm1[1]*m2j+pdn[1]*digit;
- pdtj[4]+=pdm1[2]*m2j+pdn[2]*digit;
- pdtj[6]+=pdm1[3]*m2j+pdn[3]*digit;
- pdtj[8]+=pdm1[4]*m2j+pdn[4]*digit;
- pdtj[10]+=pdm1[5]*m2j+pdn[5]*digit;
- pdtj[12]+=pdm1[6]*m2j+pdn[6]*digit;
- pdtj[14]+=pdm1[7]*m2j+pdn[7]*digit;
- pdtj[16]+=pdm1[8]*m2j+pdn[8]*digit;
- pdtj[18]+=pdm1[9]*m2j+pdn[9]*digit;
- pdtj[20]+=pdm1[10]*m2j+pdn[10]*digit;
- pdtj[22]+=pdm1[11]*m2j+pdn[11]*digit;
- pdtj[24]+=pdm1[12]*m2j+pdn[12]*digit;
- pdtj[26]+=pdm1[13]*m2j+pdn[13]*digit;
- pdtj[28]+=pdm1[14]*m2j+pdn[14]*digit;
- pdtj[30]+=pdm1[15]*m2j+pdn[15]*digit;
- /* no need for cleenup, cannot overflow */
- digit=mod(lower32(b,Zero)*dn0,TwoToMinus16,TwoTo16);
- }
- }
-
- conv_d16_to_i32(result,dt+2*nlen,(long long *)dt,nlen+1);
-
- adjust_montf_result(result,nint,nlen);
-
+ for (i = 1; i < nlen; i++) {
+ pdtj[2 * i] += pdm1[i] * m2j + pdn[i] * digit;
+ }
+ if ((jj == 30)) {
+ cleanup(dt, j / 2 + 1, 2 * nlen + 1);
+ jj = 0;
+ }
+
+ digit = mod(lower32(b, Zero) * dn0, TwoToMinus16, TwoTo16);
+ }
+ } else {
+ a = dt[0] = pdm1[0] * pdm2[0];
+
+ dt[65] = dt[64] = dt[63] = dt[62] = dt[61] = dt[60] =
+ dt[59] = dt[58] = dt[57] = dt[56] = dt[55] = dt[54] =
+ dt[53] = dt[52] = dt[51] = dt[50] = dt[49] = dt[48] =
+ dt[47] = dt[46] = dt[45] = dt[44] = dt[43] = dt[42] =
+ dt[41] = dt[40] = dt[39] = dt[38] = dt[37] = dt[36] =
+ dt[35] = dt[34] = dt[33] = dt[32] = dt[31] = dt[30] =
+ dt[29] = dt[28] = dt[27] = dt[26] = dt[25] = dt[24] =
+ dt[23] = dt[22] = dt[21] = dt[20] = dt[19] = dt[18] =
+ dt[17] = dt[16] = dt[15] = dt[14] = dt[13] = dt[12] =
+ dt[11] = dt[10] = dt[9] = dt[8] = dt[7] = dt[6] =
+ dt[5] = dt[4] = dt[3] = dt[2] = dt[1] = Zero;
+
+ pdn_0 = pdn[0];
+ pdm1_0 = pdm1[0];
+
+ digit = mod(lower32(a, Zero) * dn0, TwoToMinus16, TwoTo16);
+ pdtj = &(dt[0]);
+
+ for (j = 0; j < 32; j++, pdtj++) {
+
+ m2j = pdm2[j];
+ a = pdtj[0] + pdn_0 * digit;
+ b = pdtj[1] + pdm1_0 * pdm2[j + 1] + a * TwoToMinus16;
+ pdtj[1] = b;
+
+ /**** this loop will be fully unrolled:
+ for(i=1;i<16;i++)
+ {
+ pdtj[2*i]+=pdm1[i]*m2j+pdn[i]*digit;
+ }
+ *************************************/
+ pdtj[2] += pdm1[1] * m2j + pdn[1] * digit;
+ pdtj[4] += pdm1[2] * m2j + pdn[2] * digit;
+ pdtj[6] += pdm1[3] * m2j + pdn[3] * digit;
+ pdtj[8] += pdm1[4] * m2j + pdn[4] * digit;
+ pdtj[10] += pdm1[5] * m2j + pdn[5] * digit;
+ pdtj[12] += pdm1[6] * m2j + pdn[6] * digit;
+ pdtj[14] += pdm1[7] * m2j + pdn[7] * digit;
+ pdtj[16] += pdm1[8] * m2j + pdn[8] * digit;
+ pdtj[18] += pdm1[9] * m2j + pdn[9] * digit;
+ pdtj[20] += pdm1[10] * m2j + pdn[10] * digit;
+ pdtj[22] += pdm1[11] * m2j + pdn[11] * digit;
+ pdtj[24] += pdm1[12] * m2j + pdn[12] * digit;
+ pdtj[26] += pdm1[13] * m2j + pdn[13] * digit;
+ pdtj[28] += pdm1[14] * m2j + pdn[14] * digit;
+ pdtj[30] += pdm1[15] * m2j + pdn[15] * digit;
+ /* no need for cleenup, cannot overflow */
+ digit = mod(lower32(b, Zero) * dn0, TwoToMinus16, TwoTo16);
+ }
+ }
+
+ conv_d16_to_i32(result, dt + 2 * nlen, (long long *)dt, nlen + 1);
+
+ adjust_montf_result(result, nint, nlen);
}
-