| 1 | /// @ref gtc_round |
| 2 | |
| 3 | #include "../integer.hpp" |
| 4 | |
| 5 | namespace glm{ |
| 6 | namespace detail |
| 7 | { |
| 8 | template<length_t L, typename T, qualifier Q, bool compute = false> |
| 9 | struct compute_ceilShift |
| 10 | { |
| 11 | GLM_FUNC_QUALIFIER static vec<L, T, Q> call(vec<L, T, Q> const& v, T) |
| 12 | { |
| 13 | return v; |
| 14 | } |
| 15 | }; |
| 16 | |
| 17 | template<length_t L, typename T, qualifier Q> |
| 18 | struct compute_ceilShift<L, T, Q, true> |
| 19 | { |
| 20 | GLM_FUNC_QUALIFIER static vec<L, T, Q> call(vec<L, T, Q> const& v, T Shift) |
| 21 | { |
| 22 | return v | (v >> Shift); |
| 23 | } |
| 24 | }; |
| 25 | |
| 26 | template<length_t L, typename T, qualifier Q, bool isSigned = true> |
| 27 | struct compute_ceilPowerOfTwo |
| 28 | { |
| 29 | GLM_FUNC_QUALIFIER static vec<L, T, Q> call(vec<L, T, Q> const& x) |
| 30 | { |
| 31 | GLM_STATIC_ASSERT(!std::numeric_limits<T>::is_iec559, "'ceilPowerOfTwo' only accept integer scalar or vector inputs"); |
| 32 | |
| 33 | vec<L, T, Q> const Sign(sign(x)); |
| 34 | |
| 35 | vec<L, T, Q> v(abs(x)); |
| 36 | |
| 37 | v = v - static_cast<T>(1); |
| 38 | v = v | (v >> static_cast<T>(1)); |
| 39 | v = v | (v >> static_cast<T>(2)); |
| 40 | v = v | (v >> static_cast<T>(4)); |
| 41 | v = compute_ceilShift<L, T, Q, sizeof(T) >= 2>::call(v, 8); |
| 42 | v = compute_ceilShift<L, T, Q, sizeof(T) >= 4>::call(v, 16); |
| 43 | v = compute_ceilShift<L, T, Q, sizeof(T) >= 8>::call(v, 32); |
| 44 | return (v + static_cast<T>(1)) * Sign; |
| 45 | } |
| 46 | }; |
| 47 | |
| 48 | template<length_t L, typename T, qualifier Q> |
| 49 | struct compute_ceilPowerOfTwo<L, T, Q, false> |
| 50 | { |
| 51 | GLM_FUNC_QUALIFIER static vec<L, T, Q> call(vec<L, T, Q> const& x) |
| 52 | { |
| 53 | GLM_STATIC_ASSERT(!std::numeric_limits<T>::is_iec559, "'ceilPowerOfTwo' only accept integer scalar or vector inputs"); |
| 54 | |
| 55 | vec<L, T, Q> v(x); |
| 56 | |
| 57 | v = v - static_cast<T>(1); |
| 58 | v = v | (v >> static_cast<T>(1)); |
| 59 | v = v | (v >> static_cast<T>(2)); |
| 60 | v = v | (v >> static_cast<T>(4)); |
| 61 | v = compute_ceilShift<L, T, Q, sizeof(T) >= 2>::call(v, 8); |
| 62 | v = compute_ceilShift<L, T, Q, sizeof(T) >= 4>::call(v, 16); |
| 63 | v = compute_ceilShift<L, T, Q, sizeof(T) >= 8>::call(v, 32); |
| 64 | return v + static_cast<T>(1); |
| 65 | } |
| 66 | }; |
| 67 | |
| 68 | template<bool is_float, bool is_signed> |
| 69 | struct compute_ceilMultiple{}; |
| 70 | |
| 71 | template<> |
| 72 | struct compute_ceilMultiple<true, true> |
| 73 | { |
| 74 | template<typename genType> |
| 75 | GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple) |
| 76 | { |
| 77 | if(Source > genType(0)) |
| 78 | return Source + (Multiple - std::fmod(Source, Multiple)); |
| 79 | else |
| 80 | return Source + std::fmod(-Source, Multiple); |
| 81 | } |
| 82 | }; |
| 83 | |
| 84 | template<> |
| 85 | struct compute_ceilMultiple<false, false> |
| 86 | { |
| 87 | template<typename genType> |
| 88 | GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple) |
| 89 | { |
| 90 | genType Tmp = Source - genType(1); |
| 91 | return Tmp + (Multiple - (Tmp % Multiple)); |
| 92 | } |
| 93 | }; |
| 94 | |
| 95 | template<> |
| 96 | struct compute_ceilMultiple<false, true> |
| 97 | { |
| 98 | template<typename genType> |
| 99 | GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple) |
| 100 | { |
| 101 | if(Source > genType(0)) |
| 102 | { |
| 103 | genType Tmp = Source - genType(1); |
| 104 | return Tmp + (Multiple - (Tmp % Multiple)); |
| 105 | } |
| 106 | else |
| 107 | return Source + (-Source % Multiple); |
| 108 | } |
| 109 | }; |
| 110 | |
| 111 | template<bool is_float, bool is_signed> |
| 112 | struct compute_floorMultiple{}; |
| 113 | |
| 114 | template<> |
| 115 | struct compute_floorMultiple<true, true> |
| 116 | { |
| 117 | template<typename genType> |
| 118 | GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple) |
| 119 | { |
| 120 | if(Source >= genType(0)) |
| 121 | return Source - std::fmod(Source, Multiple); |
| 122 | else |
| 123 | return Source - std::fmod(Source, Multiple) - Multiple; |
| 124 | } |
| 125 | }; |
| 126 | |
| 127 | template<> |
| 128 | struct compute_floorMultiple<false, false> |
| 129 | { |
| 130 | template<typename genType> |
| 131 | GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple) |
| 132 | { |
| 133 | if(Source >= genType(0)) |
| 134 | return Source - Source % Multiple; |
| 135 | else |
| 136 | { |
| 137 | genType Tmp = Source + genType(1); |
| 138 | return Tmp - Tmp % Multiple - Multiple; |
| 139 | } |
| 140 | } |
| 141 | }; |
| 142 | |
| 143 | template<> |
| 144 | struct compute_floorMultiple<false, true> |
| 145 | { |
| 146 | template<typename genType> |
| 147 | GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple) |
| 148 | { |
| 149 | if(Source >= genType(0)) |
| 150 | return Source - Source % Multiple; |
| 151 | else |
| 152 | { |
| 153 | genType Tmp = Source + genType(1); |
| 154 | return Tmp - Tmp % Multiple - Multiple; |
| 155 | } |
| 156 | } |
| 157 | }; |
| 158 | |
| 159 | template<bool is_float, bool is_signed> |
| 160 | struct compute_roundMultiple{}; |
| 161 | |
| 162 | template<> |
| 163 | struct compute_roundMultiple<true, true> |
| 164 | { |
| 165 | template<typename genType> |
| 166 | GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple) |
| 167 | { |
| 168 | if(Source >= genType(0)) |
| 169 | return Source - std::fmod(Source, Multiple); |
| 170 | else |
| 171 | { |
| 172 | genType Tmp = Source + genType(1); |
| 173 | return Tmp - std::fmod(Tmp, Multiple) - Multiple; |
| 174 | } |
| 175 | } |
| 176 | }; |
| 177 | |
| 178 | template<> |
| 179 | struct compute_roundMultiple<false, false> |
| 180 | { |
| 181 | template<typename genType> |
| 182 | GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple) |
| 183 | { |
| 184 | if(Source >= genType(0)) |
| 185 | return Source - Source % Multiple; |
| 186 | else |
| 187 | { |
| 188 | genType Tmp = Source + genType(1); |
| 189 | return Tmp - Tmp % Multiple - Multiple; |
| 190 | } |
| 191 | } |
| 192 | }; |
| 193 | |
| 194 | template<> |
| 195 | struct compute_roundMultiple<false, true> |
| 196 | { |
| 197 | template<typename genType> |
| 198 | GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple) |
| 199 | { |
| 200 | if(Source >= genType(0)) |
| 201 | return Source - Source % Multiple; |
| 202 | else |
| 203 | { |
| 204 | genType Tmp = Source + genType(1); |
| 205 | return Tmp - Tmp % Multiple - Multiple; |
| 206 | } |
| 207 | } |
| 208 | }; |
| 209 | }//namespace detail |
| 210 | |
| 211 | //////////////// |
| 212 | // isPowerOfTwo |
| 213 | |
| 214 | template<typename genType> |
| 215 | GLM_FUNC_QUALIFIER bool isPowerOfTwo(genType Value) |
| 216 | { |
| 217 | genType const Result = glm::abs(Value); |
| 218 | return !(Result & (Result - 1)); |
| 219 | } |
| 220 | |
| 221 | template<length_t L, typename T, qualifier Q> |
| 222 | GLM_FUNC_QUALIFIER vec<L, bool, Q> isPowerOfTwo(vec<L, T, Q> const& Value) |
| 223 | { |
| 224 | vec<L, T, Q> const Result(abs(Value)); |
| 225 | return equal(Result & (Result - 1), vec<L, T, Q>(0)); |
| 226 | } |
| 227 | |
| 228 | ////////////////// |
| 229 | // ceilPowerOfTwo |
| 230 | |
| 231 | template<typename genType> |
| 232 | GLM_FUNC_QUALIFIER genType ceilPowerOfTwo(genType value) |
| 233 | { |
| 234 | return detail::compute_ceilPowerOfTwo<1, genType, defaultp, std::numeric_limits<genType>::is_signed>::call(vec<1, genType, defaultp>(value)).x; |
| 235 | } |
| 236 | |
| 237 | template<length_t L, typename T, qualifier Q> |
| 238 | GLM_FUNC_QUALIFIER vec<L, T, Q> ceilPowerOfTwo(vec<L, T, Q> const& v) |
| 239 | { |
| 240 | return detail::compute_ceilPowerOfTwo<L, T, Q, std::numeric_limits<T>::is_signed>::call(v); |
| 241 | } |
| 242 | |
| 243 | /////////////////// |
| 244 | // floorPowerOfTwo |
| 245 | |
| 246 | template<typename genType> |
| 247 | GLM_FUNC_QUALIFIER genType floorPowerOfTwo(genType value) |
| 248 | { |
| 249 | return isPowerOfTwo(value) ? value : static_cast<genType>(1) << findMSB(value); |
| 250 | } |
| 251 | |
| 252 | template<length_t L, typename T, qualifier Q> |
| 253 | GLM_FUNC_QUALIFIER vec<L, T, Q> floorPowerOfTwo(vec<L, T, Q> const& v) |
| 254 | { |
| 255 | return detail::functor1<vec, L, T, T, Q>::call(floorPowerOfTwo, v); |
| 256 | } |
| 257 | |
| 258 | /////////////////// |
| 259 | // roundPowerOfTwo |
| 260 | |
| 261 | template<typename genIUType> |
| 262 | GLM_FUNC_QUALIFIER genIUType roundPowerOfTwo(genIUType value) |
| 263 | { |
| 264 | if(isPowerOfTwo(value)) |
| 265 | return value; |
| 266 | |
| 267 | genIUType const prev = static_cast<genIUType>(1) << findMSB(value); |
| 268 | genIUType const next = prev << static_cast<genIUType>(1); |
| 269 | return (next - value) < (value - prev) ? next : prev; |
| 270 | } |
| 271 | |
| 272 | template<length_t L, typename T, qualifier Q> |
| 273 | GLM_FUNC_QUALIFIER vec<L, T, Q> roundPowerOfTwo(vec<L, T, Q> const& v) |
| 274 | { |
| 275 | return detail::functor1<vec, L, T, T, Q>::call(roundPowerOfTwo, v); |
| 276 | } |
| 277 | |
| 278 | //////////////// |
| 279 | // isMultiple |
| 280 | |
| 281 | template<typename genType> |
| 282 | GLM_FUNC_QUALIFIER bool isMultiple(genType Value, genType Multiple) |
| 283 | { |
| 284 | return isMultiple(vec<1, genType>(Value), vec<1, genType>(Multiple)).x; |
| 285 | } |
| 286 | |
| 287 | template<length_t L, typename T, qualifier Q> |
| 288 | GLM_FUNC_QUALIFIER vec<L, bool, Q> isMultiple(vec<L, T, Q> const& Value, T Multiple) |
| 289 | { |
| 290 | return (Value % Multiple) == vec<L, T, Q>(0); |
| 291 | } |
| 292 | |
| 293 | template<length_t L, typename T, qualifier Q> |
| 294 | GLM_FUNC_QUALIFIER vec<L, bool, Q> isMultiple(vec<L, T, Q> const& Value, vec<L, T, Q> const& Multiple) |
| 295 | { |
| 296 | return (Value % Multiple) == vec<L, T, Q>(0); |
| 297 | } |
| 298 | |
| 299 | ////////////////////// |
| 300 | // ceilMultiple |
| 301 | |
| 302 | template<typename genType> |
| 303 | GLM_FUNC_QUALIFIER genType ceilMultiple(genType Source, genType Multiple) |
| 304 | { |
| 305 | return detail::compute_ceilMultiple<std::numeric_limits<genType>::is_iec559, std::numeric_limits<genType>::is_signed>::call(Source, Multiple); |
| 306 | } |
| 307 | |
| 308 | template<length_t L, typename T, qualifier Q> |
| 309 | GLM_FUNC_QUALIFIER vec<L, T, Q> ceilMultiple(vec<L, T, Q> const& Source, vec<L, T, Q> const& Multiple) |
| 310 | { |
| 311 | return detail::functor2<vec, L, T, Q>::call(ceilMultiple, Source, Multiple); |
| 312 | } |
| 313 | |
| 314 | ////////////////////// |
| 315 | // floorMultiple |
| 316 | |
| 317 | template<typename genType> |
| 318 | GLM_FUNC_QUALIFIER genType floorMultiple(genType Source, genType Multiple) |
| 319 | { |
| 320 | return detail::compute_floorMultiple<std::numeric_limits<genType>::is_iec559, std::numeric_limits<genType>::is_signed>::call(Source, Multiple); |
| 321 | } |
| 322 | |
| 323 | template<length_t L, typename T, qualifier Q> |
| 324 | GLM_FUNC_QUALIFIER vec<L, T, Q> floorMultiple(vec<L, T, Q> const& Source, vec<L, T, Q> const& Multiple) |
| 325 | { |
| 326 | return detail::functor2<vec, L, T, Q>::call(floorMultiple, Source, Multiple); |
| 327 | } |
| 328 | |
| 329 | ////////////////////// |
| 330 | // roundMultiple |
| 331 | |
| 332 | template<typename genType> |
| 333 | GLM_FUNC_QUALIFIER genType roundMultiple(genType Source, genType Multiple) |
| 334 | { |
| 335 | return detail::compute_roundMultiple<std::numeric_limits<genType>::is_iec559, std::numeric_limits<genType>::is_signed>::call(Source, Multiple); |
| 336 | } |
| 337 | |
| 338 | template<length_t L, typename T, qualifier Q> |
| 339 | GLM_FUNC_QUALIFIER vec<L, T, Q> roundMultiple(vec<L, T, Q> const& Source, vec<L, T, Q> const& Multiple) |
| 340 | { |
| 341 | return detail::functor2<vec, L, T, Q>::call(roundMultiple, Source, Multiple); |
| 342 | } |
| 343 | }//namespace glm |