ceph/src/boost/boost/math/tools/detail/polynomial_horner3_18.hpp

   1 //  (C) Copyright John Maddock 2007.
   2 //  Use, modification and distribution are subject to the
   3 //  Boost Software License, Version 1.0. (See accompanying file
   4 //  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
   5 //
   6 //  This file is machine generated, do not edit by hand
   7
   8 // Unrolled polynomial evaluation using second order Horners rule
   9 #ifndef BOOST_MATH_TOOLS_POLY_EVAL_18_HPP
  10 #define BOOST_MATH_TOOLS_POLY_EVAL_18_HPP
  11
  12 namespace boost{ namespace math{ namespace tools{ namespace detail{
  13
  14 template <class T, class V>
  15 inline V evaluate_polynomial_c_imp(const T*, const V&, const mpl::int_<0>*) BOOST_MATH_NOEXCEPT(V)
  16 {
  17    return static_cast<V>(0);
  18 }
  19
  20 template <class T, class V>
  21 inline V evaluate_polynomial_c_imp(const T* a, const V&, const mpl::int_<1>*) BOOST_MATH_NOEXCEPT(V)
  22 {
  23    return static_cast<V>(a[0]);
  24 }
  25
  26 template <class T, class V>
  27 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<2>*) BOOST_MATH_NOEXCEPT(V)
  28 {
  29    return static_cast<V>(a[1] * x + a[0]);
  30 }
  31
  32 template <class T, class V>
  33 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<3>*) BOOST_MATH_NOEXCEPT(V)
  34 {
  35    return static_cast<V>((a[2] * x + a[1]) * x + a[0]);
  36 }
  37
  38 template <class T, class V>
  39 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<4>*) BOOST_MATH_NOEXCEPT(V)
  40 {
  41    return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]);
  42 }
  43
  44 template <class T, class V>
  45 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<5>*) BOOST_MATH_NOEXCEPT(V)
  46 {
  47    V x2 = x * x;
  48    V t[2];
  49    t[0] = static_cast<V>(a[4] * x2 + a[2]);
  50    t[1] = static_cast<V>(a[3] * x2 + a[1]);
  51    t[0] *= x2;
  52    t[0] += static_cast<V>(a[0]);
  53    t[1] *= x;
  54    return t[0] + t[1];
  55 }
  56
  57 template <class T, class V>
  58 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<6>*) BOOST_MATH_NOEXCEPT(V)
  59 {
  60    V x2 = x * x;
  61    V t[2];
  62    t[0] = a[5] * x2 + a[3];
  63    t[1] = a[4] * x2 + a[2];
  64    t[0] *= x2;
  65    t[1] *= x2;
  66    t[0] += static_cast<V>(a[1]);
  67    t[1] += static_cast<V>(a[0]);
  68    t[0] *= x;
  69    return t[0] + t[1];
  70 }
  71
  72 template <class T, class V>
  73 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<7>*) BOOST_MATH_NOEXCEPT(V)
  74 {
  75    V x2 = x * x;
  76    V t[2];
  77    t[0] = static_cast<V>(a[6] * x2 + a[4]);
  78    t[1] = static_cast<V>(a[5] * x2 + a[3]);
  79    t[0] *= x2;
  80    t[1] *= x2;
  81    t[0] += static_cast<V>(a[2]);
  82    t[1] += static_cast<V>(a[1]);
  83    t[0] *= x2;
  84    t[0] += static_cast<V>(a[0]);
  85    t[1] *= x;
  86    return t[0] + t[1];
  87 }
  88
  89 template <class T, class V>
  90 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<8>*) BOOST_MATH_NOEXCEPT(V)
  91 {
  92    V x2 = x * x;
  93    V t[2];
  94    t[0] = a[7] * x2 + a[5];
  95    t[1] = a[6] * x2 + a[4];
  96    t[0] *= x2;
  97    t[1] *= x2;
  98    t[0] += static_cast<V>(a[3]);
  99    t[1] += static_cast<V>(a[2]);
 100    t[0] *= x2;
 101    t[1] *= x2;
 102    t[0] += static_cast<V>(a[1]);
 103    t[1] += static_cast<V>(a[0]);
 104    t[0] *= x;
 105    return t[0] + t[1];
 106 }
 107
 108 template <class T, class V>
 109 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<9>*) BOOST_MATH_NOEXCEPT(V)
 110 {
 111    V x2 = x * x;
 112    V t[2];
 113    t[0] = static_cast<V>(a[8] * x2 + a[6]);
 114    t[1] = static_cast<V>(a[7] * x2 + a[5]);
 115    t[0] *= x2;
 116    t[1] *= x2;
 117    t[0] += static_cast<V>(a[4]);
 118    t[1] += static_cast<V>(a[3]);
 119    t[0] *= x2;
 120    t[1] *= x2;
 121    t[0] += static_cast<V>(a[2]);
 122    t[1] += static_cast<V>(a[1]);
 123    t[0] *= x2;
 124    t[0] += static_cast<V>(a[0]);
 125    t[1] *= x;
 126    return t[0] + t[1];
 127 }
 128
 129 template <class T, class V>
 130 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<10>*) BOOST_MATH_NOEXCEPT(V)
 131 {
 132    V x2 = x * x;
 133    V t[2];
 134    t[0] = a[9] * x2 + a[7];
 135    t[1] = a[8] * x2 + a[6];
 136    t[0] *= x2;
 137    t[1] *= x2;
 138    t[0] += static_cast<V>(a[5]);
 139    t[1] += static_cast<V>(a[4]);
 140    t[0] *= x2;
 141    t[1] *= x2;
 142    t[0] += static_cast<V>(a[3]);
 143    t[1] += static_cast<V>(a[2]);
 144    t[0] *= x2;
 145    t[1] *= x2;
 146    t[0] += static_cast<V>(a[1]);
 147    t[1] += static_cast<V>(a[0]);
 148    t[0] *= x;
 149    return t[0] + t[1];
 150 }
 151
 152 template <class T, class V>
 153 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<11>*) BOOST_MATH_NOEXCEPT(V)
 154 {
 155    V x2 = x * x;
 156    V t[2];
 157    t[0] = static_cast<V>(a[10] * x2 + a[8]);
 158    t[1] = static_cast<V>(a[9] * x2 + a[7]);
 159    t[0] *= x2;
 160    t[1] *= x2;
 161    t[0] += static_cast<V>(a[6]);
 162    t[1] += static_cast<V>(a[5]);
 163    t[0] *= x2;
 164    t[1] *= x2;
 165    t[0] += static_cast<V>(a[4]);
 166    t[1] += static_cast<V>(a[3]);
 167    t[0] *= x2;
 168    t[1] *= x2;
 169    t[0] += static_cast<V>(a[2]);
 170    t[1] += static_cast<V>(a[1]);
 171    t[0] *= x2;
 172    t[0] += static_cast<V>(a[0]);
 173    t[1] *= x;
 174    return t[0] + t[1];
 175 }
 176
 177 template <class T, class V>
 178 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<12>*) BOOST_MATH_NOEXCEPT(V)
 179 {
 180    V x2 = x * x;
 181    V t[2];
 182    t[0] = a[11] * x2 + a[9];
 183    t[1] = a[10] * x2 + a[8];
 184    t[0] *= x2;
 185    t[1] *= x2;
 186    t[0] += static_cast<V>(a[7]);
 187    t[1] += static_cast<V>(a[6]);
 188    t[0] *= x2;
 189    t[1] *= x2;
 190    t[0] += static_cast<V>(a[5]);
 191    t[1] += static_cast<V>(a[4]);
 192    t[0] *= x2;
 193    t[1] *= x2;
 194    t[0] += static_cast<V>(a[3]);
 195    t[1] += static_cast<V>(a[2]);
 196    t[0] *= x2;
 197    t[1] *= x2;
 198    t[0] += static_cast<V>(a[1]);
 199    t[1] += static_cast<V>(a[0]);
 200    t[0] *= x;
 201    return t[0] + t[1];
 202 }
 203
 204 template <class T, class V>
 205 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<13>*) BOOST_MATH_NOEXCEPT(V)
 206 {
 207    V x2 = x * x;
 208    V t[2];
 209    t[0] = static_cast<V>(a[12] * x2 + a[10]);
 210    t[1] = static_cast<V>(a[11] * x2 + a[9]);
 211    t[0] *= x2;
 212    t[1] *= x2;
 213    t[0] += static_cast<V>(a[8]);
 214    t[1] += static_cast<V>(a[7]);
 215    t[0] *= x2;
 216    t[1] *= x2;
 217    t[0] += static_cast<V>(a[6]);
 218    t[1] += static_cast<V>(a[5]);
 219    t[0] *= x2;
 220    t[1] *= x2;
 221    t[0] += static_cast<V>(a[4]);
 222    t[1] += static_cast<V>(a[3]);
 223    t[0] *= x2;
 224    t[1] *= x2;
 225    t[0] += static_cast<V>(a[2]);
 226    t[1] += static_cast<V>(a[1]);
 227    t[0] *= x2;
 228    t[0] += static_cast<V>(a[0]);
 229    t[1] *= x;
 230    return t[0] + t[1];
 231 }
 232
 233 template <class T, class V>
 234 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<14>*) BOOST_MATH_NOEXCEPT(V)
 235 {
 236    V x2 = x * x;
 237    V t[2];
 238    t[0] = a[13] * x2 + a[11];
 239    t[1] = a[12] * x2 + a[10];
 240    t[0] *= x2;
 241    t[1] *= x2;
 242    t[0] += static_cast<V>(a[9]);
 243    t[1] += static_cast<V>(a[8]);
 244    t[0] *= x2;
 245    t[1] *= x2;
 246    t[0] += static_cast<V>(a[7]);
 247    t[1] += static_cast<V>(a[6]);
 248    t[0] *= x2;
 249    t[1] *= x2;
 250    t[0] += static_cast<V>(a[5]);
 251    t[1] += static_cast<V>(a[4]);
 252    t[0] *= x2;
 253    t[1] *= x2;
 254    t[0] += static_cast<V>(a[3]);
 255    t[1] += static_cast<V>(a[2]);
 256    t[0] *= x2;
 257    t[1] *= x2;
 258    t[0] += static_cast<V>(a[1]);
 259    t[1] += static_cast<V>(a[0]);
 260    t[0] *= x;
 261    return t[0] + t[1];
 262 }
 263
 264 template <class T, class V>
 265 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<15>*) BOOST_MATH_NOEXCEPT(V)
 266 {
 267    V x2 = x * x;
 268    V t[2];
 269    t[0] = static_cast<V>(a[14] * x2 + a[12]);
 270    t[1] = static_cast<V>(a[13] * x2 + a[11]);
 271    t[0] *= x2;
 272    t[1] *= x2;
 273    t[0] += static_cast<V>(a[10]);
 274    t[1] += static_cast<V>(a[9]);
 275    t[0] *= x2;
 276    t[1] *= x2;
 277    t[0] += static_cast<V>(a[8]);
 278    t[1] += static_cast<V>(a[7]);
 279    t[0] *= x2;
 280    t[1] *= x2;
 281    t[0] += static_cast<V>(a[6]);
 282    t[1] += static_cast<V>(a[5]);
 283    t[0] *= x2;
 284    t[1] *= x2;
 285    t[0] += static_cast<V>(a[4]);
 286    t[1] += static_cast<V>(a[3]);
 287    t[0] *= x2;
 288    t[1] *= x2;
 289    t[0] += static_cast<V>(a[2]);
 290    t[1] += static_cast<V>(a[1]);
 291    t[0] *= x2;
 292    t[0] += static_cast<V>(a[0]);
 293    t[1] *= x;
 294    return t[0] + t[1];
 295 }
 296
 297 template <class T, class V>
 298 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<16>*) BOOST_MATH_NOEXCEPT(V)
 299 {
 300    V x2 = x * x;
 301    V t[2];
 302    t[0] = a[15] * x2 + a[13];
 303    t[1] = a[14] * x2 + a[12];
 304    t[0] *= x2;
 305    t[1] *= x2;
 306    t[0] += static_cast<V>(a[11]);
 307    t[1] += static_cast<V>(a[10]);
 308    t[0] *= x2;
 309    t[1] *= x2;
 310    t[0] += static_cast<V>(a[9]);
 311    t[1] += static_cast<V>(a[8]);
 312    t[0] *= x2;
 313    t[1] *= x2;
 314    t[0] += static_cast<V>(a[7]);
 315    t[1] += static_cast<V>(a[6]);
 316    t[0] *= x2;
 317    t[1] *= x2;
 318    t[0] += static_cast<V>(a[5]);
 319    t[1] += static_cast<V>(a[4]);
 320    t[0] *= x2;
 321    t[1] *= x2;
 322    t[0] += static_cast<V>(a[3]);
 323    t[1] += static_cast<V>(a[2]);
 324    t[0] *= x2;
 325    t[1] *= x2;
 326    t[0] += static_cast<V>(a[1]);
 327    t[1] += static_cast<V>(a[0]);
 328    t[0] *= x;
 329    return t[0] + t[1];
 330 }
 331
 332 template <class T, class V>
 333 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<17>*) BOOST_MATH_NOEXCEPT(V)
 334 {
 335    V x2 = x * x;
 336    V t[2];
 337    t[0] = static_cast<V>(a[16] * x2 + a[14]);
 338    t[1] = static_cast<V>(a[15] * x2 + a[13]);
 339    t[0] *= x2;
 340    t[1] *= x2;
 341    t[0] += static_cast<V>(a[12]);
 342    t[1] += static_cast<V>(a[11]);
 343    t[0] *= x2;
 344    t[1] *= x2;
 345    t[0] += static_cast<V>(a[10]);
 346    t[1] += static_cast<V>(a[9]);
 347    t[0] *= x2;
 348    t[1] *= x2;
 349    t[0] += static_cast<V>(a[8]);
 350    t[1] += static_cast<V>(a[7]);
 351    t[0] *= x2;
 352    t[1] *= x2;
 353    t[0] += static_cast<V>(a[6]);
 354    t[1] += static_cast<V>(a[5]);
 355    t[0] *= x2;
 356    t[1] *= x2;
 357    t[0] += static_cast<V>(a[4]);
 358    t[1] += static_cast<V>(a[3]);
 359    t[0] *= x2;
 360    t[1] *= x2;
 361    t[0] += static_cast<V>(a[2]);
 362    t[1] += static_cast<V>(a[1]);
 363    t[0] *= x2;
 364    t[0] += static_cast<V>(a[0]);
 365    t[1] *= x;
 366    return t[0] + t[1];
 367 }
 368
 369 template <class T, class V>
 370 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<18>*) BOOST_MATH_NOEXCEPT(V)
 371 {
 372    V x2 = x * x;
 373    V t[2];
 374    t[0] = a[17] * x2 + a[15];
 375    t[1] = a[16] * x2 + a[14];
 376    t[0] *= x2;
 377    t[1] *= x2;
 378    t[0] += static_cast<V>(a[13]);
 379    t[1] += static_cast<V>(a[12]);
 380    t[0] *= x2;
 381    t[1] *= x2;
 382    t[0] += static_cast<V>(a[11]);
 383    t[1] += static_cast<V>(a[10]);
 384    t[0] *= x2;
 385    t[1] *= x2;
 386    t[0] += static_cast<V>(a[9]);
 387    t[1] += static_cast<V>(a[8]);
 388    t[0] *= x2;
 389    t[1] *= x2;
 390    t[0] += static_cast<V>(a[7]);
 391    t[1] += static_cast<V>(a[6]);
 392    t[0] *= x2;
 393    t[1] *= x2;
 394    t[0] += static_cast<V>(a[5]);
 395    t[1] += static_cast<V>(a[4]);
 396    t[0] *= x2;
 397    t[1] *= x2;
 398    t[0] += static_cast<V>(a[3]);
 399    t[1] += static_cast<V>(a[2]);
 400    t[0] *= x2;
 401    t[1] *= x2;
 402    t[0] += static_cast<V>(a[1]);
 403    t[1] += static_cast<V>(a[0]);
 404    t[0] *= x;
 405    return t[0] + t[1];
 406 }
 407
 408
 409 }}}} // namespaces
 410
 411 #endif // include guard
 412