10#ifndef EIGEN_NUMTRAITS_H
11#define EIGEN_NUMTRAITS_H
20 bool use_numeric_limits = std::numeric_limits<T>::is_specialized,
21 bool is_integer = NumTraits<T>::IsInteger>
22struct default_digits10_impl
24 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
25 static int run() {
return std::numeric_limits<T>::digits10; }
29struct default_digits10_impl<T,false,false>
31 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
35 typedef typename NumTraits<T>::Real Real;
36 return int(ceil(-log10(NumTraits<Real>::epsilon())));
41struct default_digits10_impl<T,false,true>
43 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
44 static int run() {
return 0; }
51 bool use_numeric_limits = std::numeric_limits<T>::is_specialized,
52 bool is_integer = NumTraits<T>::IsInteger>
53struct default_digits_impl
55 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
56 static int run() {
return std::numeric_limits<T>::digits; }
60struct default_digits_impl<T,false,false>
62 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
66 typedef typename NumTraits<T>::Real Real;
67 return int(ceil(-log(NumTraits<Real>::epsilon())/log(
static_cast<Real
>(2))));
72struct default_digits_impl<T,false,true>
74 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
75 static int run() {
return 0; }
84template <
typename Tgt,
typename Src>
85EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC Tgt bit_cast(
const Src& src) {
86#if EIGEN_HAS_TYPE_TRAITS
88 EIGEN_STATIC_ASSERT(std::is_trivially_copyable<Src>::value, THIS_TYPE_IS_NOT_SUPPORTED);
89 EIGEN_STATIC_ASSERT(std::is_trivially_copyable<Tgt>::value && std::is_default_constructible<Tgt>::value,
90 THIS_TYPE_IS_NOT_SUPPORTED);
93 EIGEN_STATIC_ASSERT(
sizeof(Src) ==
sizeof(Tgt), THIS_TYPE_IS_NOT_SUPPORTED);
95 EIGEN_USING_STD(memcpy)
96 memcpy(&tgt, &src,
sizeof(Tgt));
152template<
typename T>
struct GenericNumTraits
155 IsInteger = std::numeric_limits<T>::is_integer,
156 IsSigned = std::numeric_limits<T>::is_signed,
158 RequireInitialization = internal::is_arithmetic<T>::value ? 0 : 1,
165 typedef typename internal::conditional<
167 typename internal::conditional<
sizeof(T)<=2,
float,
double>::type,
173 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
174 static inline Real epsilon()
176 return numext::numeric_limits<T>::epsilon();
179 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
180 static inline int digits10()
182 return internal::default_digits10_impl<T>::run();
185 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
186 static inline int digits()
188 return internal::default_digits_impl<T>::run();
191 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
192 static inline int min_exponent()
194 return numext::numeric_limits<T>::min_exponent;
197 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
198 static inline int max_exponent()
200 return numext::numeric_limits<T>::max_exponent;
203 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
204 static inline Real dummy_precision()
210 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
211 static inline T highest() {
212 return (numext::numeric_limits<T>::max)();
215 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
216 static inline T lowest() {
217 return IsInteger ? (numext::numeric_limits<T>::min)()
218 : static_cast<T>(-(numext::numeric_limits<T>::max)());
221 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
222 static inline T infinity() {
223 return numext::numeric_limits<T>::infinity();
226 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
227 static inline T quiet_NaN() {
228 return numext::numeric_limits<T>::quiet_NaN();
232template<
typename T>
struct NumTraits : GenericNumTraits<T>
236 : GenericNumTraits<float>
238 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
239 static inline float dummy_precision() {
return 1e-5f; }
242template<>
struct NumTraits<double> : GenericNumTraits<double>
244 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
245 static inline double dummy_precision() {
return 1e-12; }
248template<>
struct NumTraits<long double>
249 : GenericNumTraits<long double>
252 static inline long double dummy_precision() {
return 1e-15l; }
255template<
typename _Real>
struct NumTraits<std::complex<_Real> >
256 : GenericNumTraits<std::complex<_Real> >
259 typedef typename NumTraits<_Real>::Literal Literal;
262 RequireInitialization = NumTraits<_Real>::RequireInitialization,
263 ReadCost = 2 * NumTraits<_Real>::ReadCost,
264 AddCost = 2 * NumTraits<Real>::AddCost,
265 MulCost = 4 * NumTraits<Real>::MulCost + 2 * NumTraits<Real>::AddCost
268 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
269 static inline Real epsilon() {
return NumTraits<Real>::epsilon(); }
270 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
271 static inline Real dummy_precision() {
return NumTraits<Real>::dummy_precision(); }
272 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
273 static inline int digits10() {
return NumTraits<Real>::digits10(); }
276template<
typename Scalar,
int Rows,
int Cols,
int Options,
int MaxRows,
int MaxCols>
277struct NumTraits<Array<Scalar, Rows, Cols, Options, MaxRows, MaxCols> >
279 typedef Array<Scalar, Rows, Cols, Options, MaxRows, MaxCols> ArrayType;
280 typedef typename NumTraits<Scalar>::Real RealScalar;
281 typedef Array<RealScalar, Rows, Cols, Options, MaxRows, MaxCols> Real;
282 typedef typename NumTraits<Scalar>::NonInteger NonIntegerScalar;
283 typedef Array<NonIntegerScalar, Rows, Cols, Options, MaxRows, MaxCols> NonInteger;
284 typedef ArrayType & Nested;
285 typedef typename NumTraits<Scalar>::Literal Literal;
288 IsComplex = NumTraits<Scalar>::IsComplex,
289 IsInteger = NumTraits<Scalar>::IsInteger,
290 IsSigned = NumTraits<Scalar>::IsSigned,
291 RequireInitialization = 1,
292 ReadCost = ArrayType::SizeAtCompileTime==
Dynamic ?
HugeCost : ArrayType::SizeAtCompileTime * int(NumTraits<Scalar>::ReadCost),
293 AddCost = ArrayType::SizeAtCompileTime==
Dynamic ?
HugeCost : ArrayType::SizeAtCompileTime * int(NumTraits<Scalar>::AddCost),
294 MulCost = ArrayType::SizeAtCompileTime==
Dynamic ?
HugeCost : ArrayType::SizeAtCompileTime * int(NumTraits<Scalar>::MulCost)
297 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
298 static inline RealScalar epsilon() {
return NumTraits<RealScalar>::epsilon(); }
299 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
300 static inline RealScalar dummy_precision() {
return NumTraits<RealScalar>::dummy_precision(); }
303 static inline int digits10() {
return NumTraits<Scalar>::digits10(); }
306template<>
struct NumTraits<std::string>
307 : GenericNumTraits<std::string>
310 RequireInitialization = 1,
317 static inline int digits10() {
return 0; }
320 static inline std::string epsilon();
321 static inline std::string dummy_precision();
322 static inline std::string lowest();
323 static inline std::string highest();
324 static inline std::string infinity();
325 static inline std::string quiet_NaN();
329template<>
struct NumTraits<void> {};
331template<>
struct NumTraits<bool> : GenericNumTraits<bool> {};
Namespace containing all symbols from the Eigen library.
Definition: Core:141
const int HugeCost
Definition: Constants.h:44
const int Dynamic
Definition: Constants.h:22
Holds information about the various numeric (i.e. scalar) types allowed by Eigen.
Definition: NumTraits.h:233