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| 1 | +// -*- mode: C++; c-indent-level: 4; c-basic-offset: 4; indent-tabs-mode: nil; -*- |
| 2 | +// |
| 3 | +// median.h: Rcpp R/C++ interface class library -- median |
| 4 | +// |
| 5 | +// Copyright (C) 2016 Dirk Eddelbuettel, Romain Francois, and Nathan Russell |
| 6 | +// |
| 7 | +// This file is part of Rcpp. |
| 8 | +// |
| 9 | +// Rcpp is free software: you can redistribute it and/or modify it |
| 10 | +// under the terms of the GNU General Public License as published by |
| 11 | +// the Free Software Foundation, either version 2 of the License, or |
| 12 | +// (at your option) any later version. |
| 13 | +// |
| 14 | +// Rcpp is distributed in the hope that it will be useful, but |
| 15 | +// WITHOUT ANY WARRANTY; without even the implied warranty of |
| 16 | +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| 17 | +// GNU General Public License for more details. |
| 18 | +// |
| 19 | +// You should have received a copy of the GNU General Public License |
| 20 | +// along with Rcpp. If not, see <http://www.gnu.org/licenses/>. |
| 21 | + |
| 22 | +#ifndef Rcpp__sugar__median_h |
| 23 | +#define Rcpp__sugar__median_h |
| 24 | + |
| 25 | +namespace Rcpp { |
| 26 | +namespace sugar { |
| 27 | +namespace median_detail { |
| 28 | + |
| 29 | +// need to return double for integer vectors |
| 30 | +// (in case of even-length input vector) |
| 31 | +// and Rcpp::String for STRSXP |
| 32 | +// also need to return NA_REAL for |
| 33 | +// integer vector yielding NA result |
| 34 | +template <int RTYPE> |
| 35 | +struct result { |
| 36 | + typedef typename Rcpp::traits::storage_type<RTYPE>::type type; |
| 37 | + enum { rtype = RTYPE }; |
| 38 | +}; |
| 39 | + |
| 40 | +template <> |
| 41 | +struct result<INTSXP> { |
| 42 | + typedef double type; |
| 43 | + enum { rtype = REALSXP }; |
| 44 | +}; |
| 45 | + |
| 46 | +template <> |
| 47 | +struct result<STRSXP> { |
| 48 | + typedef Rcpp::String type; |
| 49 | + enum { rtype = STRSXP }; |
| 50 | +}; |
| 51 | + |
| 52 | +// std::nth_element and std::max_element don't |
| 53 | +// know how to compare Rcomplex values |
| 54 | +template <typename T> |
| 55 | +inline bool less(T lhs, T rhs) { |
| 56 | + return lhs < rhs; |
| 57 | +} |
| 58 | + |
| 59 | +template<> |
| 60 | +inline bool less<Rcomplex>(Rcomplex lhs, Rcomplex rhs) { |
| 61 | + if (lhs.r < rhs.r) return true; |
| 62 | + if (lhs.i < rhs.i) return true; |
| 63 | + return false; |
| 64 | +} |
| 65 | + |
| 66 | +// compiler does not know how to handle |
| 67 | +// Rcomplex numerator / double denominator |
| 68 | +// and need explicit cast for INTSXP case |
| 69 | +inline double half(double lhs) { |
| 70 | + return lhs / 2.0; |
| 71 | +} |
| 72 | + |
| 73 | +inline double half(int lhs) { |
| 74 | + return static_cast<double>(lhs) / 2.0; |
| 75 | +} |
| 76 | + |
| 77 | +inline Rcomplex half(Rcomplex lhs) { |
| 78 | + lhs.r /= 2.0; |
| 79 | + lhs.i /= 2.0; |
| 80 | + return lhs; |
| 81 | +} |
| 82 | + |
| 83 | +} // median_detail |
| 84 | + |
| 85 | +// base case |
| 86 | +template <int RTYPE, bool NA, typename T, bool NA_RM = false> |
| 87 | +class Median { |
| 88 | +public: |
| 89 | + typedef typename median_detail::result<RTYPE>::type result_type; |
| 90 | + typedef typename Rcpp::traits::storage_type<RTYPE>::type stored_type; |
| 91 | + enum { RESULT_RTYPE = median_detail::result<RTYPE>::rtype }; |
| 92 | + typedef T VECTOR; |
| 93 | + |
| 94 | +private: |
| 95 | + VECTOR x; |
| 96 | + |
| 97 | +public: |
| 98 | + Median(const VECTOR& xx) |
| 99 | + : x(Rcpp::clone(xx)) {} |
| 100 | + |
| 101 | + operator result_type() { |
| 102 | + if (x.size() < 1) { |
| 103 | + return Rcpp::traits::get_na<RESULT_RTYPE>(); |
| 104 | + } |
| 105 | + |
| 106 | + if (Rcpp::any(Rcpp::is_na(x))) { |
| 107 | + return Rcpp::traits::get_na<RESULT_RTYPE>(); |
| 108 | + } |
| 109 | + |
| 110 | + R_xlen_t n = x.size() / 2; |
| 111 | + std::nth_element( |
| 112 | + x.begin(), x.begin() + n, x.end(), |
| 113 | + median_detail::less<stored_type>); |
| 114 | + |
| 115 | + if (x.size() % 2) return x[n]; |
| 116 | + return median_detail::half( |
| 117 | + x[n] + *std::max_element( |
| 118 | + x.begin(), x.begin() + n, |
| 119 | + median_detail::less<stored_type>)); |
| 120 | + } |
| 121 | +}; |
| 122 | + |
| 123 | +// na.rm = TRUE |
| 124 | +template <int RTYPE, bool NA, typename T> |
| 125 | +class Median<RTYPE, NA, T, true> { |
| 126 | +public: |
| 127 | + typedef typename median_detail::result<RTYPE>::type result_type; |
| 128 | + typedef typename Rcpp::traits::storage_type<RTYPE>::type stored_type; |
| 129 | + enum { RESULT_RTYPE = median_detail::result<RTYPE>::rtype }; |
| 130 | + typedef T VECTOR; |
| 131 | + |
| 132 | +private: |
| 133 | + VECTOR x; |
| 134 | + |
| 135 | +public: |
| 136 | + Median(const VECTOR& xx) |
| 137 | + : x(Rcpp::na_omit(Rcpp::clone(xx))) {} |
| 138 | + |
| 139 | + operator result_type() { |
| 140 | + if (!x.size()) { |
| 141 | + return Rcpp::traits::get_na<RESULT_RTYPE>(); |
| 142 | + } |
| 143 | + |
| 144 | + R_xlen_t n = x.size() / 2; |
| 145 | + std::nth_element( |
| 146 | + x.begin(), x.begin() + n, x.end(), |
| 147 | + median_detail::less<stored_type>); |
| 148 | + |
| 149 | + if (x.size() % 2) return x[n]; |
| 150 | + return median_detail::half( |
| 151 | + x[n] + *std::max_element( |
| 152 | + x.begin(), x.begin() + n, |
| 153 | + median_detail::less<stored_type>)); |
| 154 | + } |
| 155 | +}; |
| 156 | + |
| 157 | +// NA = false |
| 158 | +template <int RTYPE, typename T, bool NA_RM> |
| 159 | +class Median<RTYPE, false, T, NA_RM> { |
| 160 | +public: |
| 161 | + typedef typename median_detail::result<RTYPE>::type result_type; |
| 162 | + typedef typename Rcpp::traits::storage_type<RTYPE>::type stored_type; |
| 163 | + enum { RESULT_RTYPE = median_detail::result<RTYPE>::rtype }; |
| 164 | + typedef T VECTOR; |
| 165 | + |
| 166 | +private: |
| 167 | + VECTOR x; |
| 168 | + |
| 169 | +public: |
| 170 | + Median(const VECTOR& xx) |
| 171 | + : x(Rcpp::clone(xx)) {} |
| 172 | + |
| 173 | + operator result_type() { |
| 174 | + if (x.size() < 1) { |
| 175 | + return Rcpp::traits::get_na<RESULT_RTYPE>(); |
| 176 | + } |
| 177 | + |
| 178 | + R_xlen_t n = x.size() / 2; |
| 179 | + std::nth_element( |
| 180 | + x.begin(), x.begin() + n, x.end(), |
| 181 | + median_detail::less<stored_type>); |
| 182 | + |
| 183 | + if (x.size() % 2) return x[n]; |
| 184 | + return median_detail::half( |
| 185 | + x[n] + *std::max_element( |
| 186 | + x.begin(), x.begin() + n, |
| 187 | + median_detail::less<stored_type>)); |
| 188 | + } |
| 189 | +}; |
| 190 | + |
| 191 | +// specialize for character vector |
| 192 | +// due to string_proxy's incompatibility |
| 193 | +// with certain std:: algorithms; |
| 194 | +// need to return NA for even-length vectors |
| 195 | +template <bool NA, typename T, bool NA_RM> |
| 196 | +class Median<STRSXP, NA, T, NA_RM> { |
| 197 | +public: |
| 198 | + typedef typename median_detail::result<STRSXP>::type result_type; |
| 199 | + typedef typename Rcpp::traits::storage_type<STRSXP>::type stored_type; |
| 200 | + typedef T VECTOR; |
| 201 | + |
| 202 | +private: |
| 203 | + VECTOR x; |
| 204 | + |
| 205 | +public: |
| 206 | + Median(const VECTOR& xx) |
| 207 | + : x(Rcpp::clone(xx)) {} |
| 208 | + |
| 209 | + operator result_type() { |
| 210 | + if (!(x.size() % 2)) { |
| 211 | + return Rcpp::traits::get_na<STRSXP>(); |
| 212 | + } |
| 213 | + |
| 214 | + if (Rcpp::any(Rcpp::is_na(x))) { |
| 215 | + return Rcpp::traits::get_na<STRSXP>(); |
| 216 | + } |
| 217 | + |
| 218 | + R_xlen_t n = x.size() / 2; |
| 219 | + x.sort(); |
| 220 | + |
| 221 | + return x[n]; |
| 222 | + } |
| 223 | +}; |
| 224 | + |
| 225 | +// na.rm = TRUE |
| 226 | +template <bool NA, typename T> |
| 227 | +class Median<STRSXP, NA, T, true> { |
| 228 | +public: |
| 229 | + typedef typename median_detail::result<STRSXP>::type result_type; |
| 230 | + typedef typename Rcpp::traits::storage_type<STRSXP>::type stored_type; |
| 231 | + typedef T VECTOR; |
| 232 | + |
| 233 | +private: |
| 234 | + VECTOR x; |
| 235 | + |
| 236 | +public: |
| 237 | + Median(const VECTOR& xx) |
| 238 | + : x(Rcpp::na_omit(Rcpp::clone(xx))) {} |
| 239 | + |
| 240 | + operator result_type() { |
| 241 | + if (!(x.size() % 2)) { |
| 242 | + return Rcpp::traits::get_na<STRSXP>(); |
| 243 | + } |
| 244 | + |
| 245 | + R_xlen_t n = x.size() / 2; |
| 246 | + x.sort(); |
| 247 | + |
| 248 | + return x[n]; |
| 249 | + } |
| 250 | +}; |
| 251 | + |
| 252 | +// NA = false |
| 253 | +template <typename T> |
| 254 | +class Median<STRSXP, false, T, true> { |
| 255 | +public: |
| 256 | + typedef typename median_detail::result<STRSXP>::type result_type; |
| 257 | + typedef typename Rcpp::traits::storage_type<STRSXP>::type stored_type; |
| 258 | + typedef T VECTOR; |
| 259 | + |
| 260 | +private: |
| 261 | + VECTOR x; |
| 262 | + |
| 263 | +public: |
| 264 | + Median(const VECTOR& xx) |
| 265 | + : x(Rcpp::clone(xx)) {} |
| 266 | + |
| 267 | + operator result_type() { |
| 268 | + if (!(x.size() % 2)) { |
| 269 | + return Rcpp::traits::get_na<STRSXP>(); |
| 270 | + } |
| 271 | + |
| 272 | + R_xlen_t n = x.size() / 2; |
| 273 | + x.sort(); |
| 274 | + |
| 275 | + return x[n]; |
| 276 | + } |
| 277 | +}; |
| 278 | + |
| 279 | +} // sugar |
| 280 | + |
| 281 | +template <int RTYPE, bool NA, typename T> |
| 282 | +inline typename sugar::median_detail::result<RTYPE>::type |
| 283 | +median(const Rcpp::VectorBase<RTYPE, NA, T>& x, bool na_rm = false) { |
| 284 | + if (!na_rm) return sugar::Median<RTYPE, NA, T, false>(x); |
| 285 | + return sugar::Median<RTYPE, NA, T, true>(x); |
| 286 | +} |
| 287 | + |
| 288 | +} // Rcpp |
| 289 | + |
| 290 | +#endif // Rcpp__sugar__median_h |
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