/* 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/. */ #ifdef SOLARIS #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); #ifdef RF_INLINE_MACROS 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* */); #else #ifdef MP_USE_FLOOR #include #else #define floor(d) ((double)((unsigned long long)(d))) #endif static double upper32(double x) { return floor(x * TwoToMinus32); } static double lower32(double x, double y) { return x - TwoTo32 * floor(x * TwoToMinus32); } static double mod(double x, double oneoverm, double m) { return x - m * floor(x * oneoverm); } #endif 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 **/ } 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; } void conv_i32_to_d32(double *d32, unsigned int *i32, int len) { int i; #pragma pipeloop(0) for (i = 0; i < len; i++) d32[i] = (double)(i32[i]); } void conv_i32_to_d16(double *d16, unsigned int *i32, int len) { 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); } } void conv_i32_to_d32_and_d16(double *d32, double *d16, unsigned int *i32, int len) { 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]))); } #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); } } 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; } } } /* ** 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) { 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); }