10 #ifndef EIGEN_NUMTRAITS_H
11 #define EIGEN_NUMTRAITS_H
13 #include "./InternalHeaderCheck.h"
22 bool use_numeric_limits = std::numeric_limits<T>::is_specialized,
23 bool is_integer = NumTraits<T>::IsInteger>
24 struct default_digits10_impl
26 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
27 static int run() {
return std::numeric_limits<T>::digits10; }
31 struct default_digits10_impl<T,false,false>
33 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
37 typedef typename NumTraits<T>::Real Real;
38 return int(
ceil(-
log10(NumTraits<Real>::epsilon())));
43 struct default_digits10_impl<T,false,true>
45 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
46 static int run() {
return 0; }
53 bool use_numeric_limits = std::numeric_limits<T>::is_specialized,
54 bool is_integer = NumTraits<T>::IsInteger>
55 struct default_digits_impl
57 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
58 static int run() {
return std::numeric_limits<T>::digits; }
62 struct default_digits_impl<T,false,false>
64 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
68 typedef typename NumTraits<T>::Real Real;
69 return int(
ceil(-
log(NumTraits<Real>::epsilon())/
log(
static_cast<Real
>(2))));
74 struct default_digits_impl<T,false,true>
76 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
77 static int run() {
return 0; }
86 template <
typename Tgt,
typename Src>
87 EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC Tgt bit_cast(
const Src& src) {
89 EIGEN_STATIC_ASSERT(std::is_trivially_copyable<Src>::value, THIS_TYPE_IS_NOT_SUPPORTED);
90 EIGEN_STATIC_ASSERT(std::is_trivially_copyable<Tgt>::value && std::is_default_constructible<Tgt>::value,
91 THIS_TYPE_IS_NOT_SUPPORTED);
92 EIGEN_STATIC_ASSERT(
sizeof(Src) ==
sizeof(Tgt), THIS_TYPE_IS_NOT_SUPPORTED);
96 const Src staged = src;
97 EIGEN_USING_STD(memcpy)
98 memcpy(&tgt, &staged,
sizeof(Tgt));
154 template<
typename T>
struct GenericNumTraits
157 IsInteger = std::numeric_limits<T>::is_integer,
158 IsSigned = std::numeric_limits<T>::is_signed,
160 RequireInitialization = internal::is_arithmetic<T>::value ? 0 : 1,
167 typedef std::conditional_t<IsInteger, std::conditional_t<
sizeof(T)<=2,
float,
double>, T> NonInteger;
171 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
172 static inline Real epsilon()
174 return numext::numeric_limits<T>::epsilon();
177 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
178 static inline int digits10()
180 return internal::default_digits10_impl<T>::run();
183 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
184 static inline int digits()
186 return internal::default_digits_impl<T>::run();
189 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
190 static inline int min_exponent()
192 return numext::numeric_limits<T>::min_exponent;
195 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
196 static inline int max_exponent()
198 return numext::numeric_limits<T>::max_exponent;
201 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
202 static inline Real dummy_precision()
208 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
209 static inline T highest() {
210 return (numext::numeric_limits<T>::max)();
213 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
214 static inline T lowest() {
215 return IsInteger ? (numext::numeric_limits<T>::min)()
216 : static_cast<T>(-(numext::numeric_limits<T>::max)());
219 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
220 static inline T infinity() {
221 return numext::numeric_limits<T>::infinity();
224 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
225 static inline T quiet_NaN() {
226 return numext::numeric_limits<T>::quiet_NaN();
230 template<
typename T>
struct NumTraits : GenericNumTraits<T>
234 : GenericNumTraits<float>
236 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
237 static inline float dummy_precision() {
return 1e-5f; }
240 template<>
struct NumTraits<double> : GenericNumTraits<double>
242 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
243 static inline double dummy_precision() {
return 1e-12; }
246 template<>
struct NumTraits<long double>
247 : GenericNumTraits<long double>
250 static inline long double dummy_precision() {
return 1e-15l; }
253 template<
typename Real_>
struct NumTraits<std::complex<Real_> >
254 : GenericNumTraits<std::complex<Real_> >
257 typedef typename NumTraits<Real_>::Literal Literal;
260 RequireInitialization = NumTraits<Real_>::RequireInitialization,
261 ReadCost = 2 * NumTraits<Real_>::ReadCost,
262 AddCost = 2 * NumTraits<Real>::AddCost,
263 MulCost = 4 * NumTraits<Real>::MulCost + 2 * NumTraits<Real>::AddCost
266 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
267 static inline Real epsilon() {
return NumTraits<Real>::epsilon(); }
268 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
269 static inline Real dummy_precision() {
return NumTraits<Real>::dummy_precision(); }
270 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
271 static inline int digits10() {
return NumTraits<Real>::digits10(); }
274 template<
typename Scalar,
int Rows,
int Cols,
int Options,
int MaxRows,
int MaxCols>
275 struct NumTraits<Array<Scalar, Rows, Cols, Options, MaxRows, MaxCols> >
277 typedef Array<Scalar, Rows, Cols, Options, MaxRows, MaxCols> ArrayType;
278 typedef typename NumTraits<Scalar>::Real RealScalar;
279 typedef Array<RealScalar, Rows, Cols, Options, MaxRows, MaxCols> Real;
280 typedef typename NumTraits<Scalar>::NonInteger NonIntegerScalar;
281 typedef Array<NonIntegerScalar, Rows, Cols, Options, MaxRows, MaxCols> NonInteger;
282 typedef ArrayType & Nested;
283 typedef typename NumTraits<Scalar>::Literal Literal;
286 IsComplex = NumTraits<Scalar>::IsComplex,
287 IsInteger = NumTraits<Scalar>::IsInteger,
288 IsSigned = NumTraits<Scalar>::IsSigned,
289 RequireInitialization = 1,
290 ReadCost = ArrayType::SizeAtCompileTime==
Dynamic ?
HugeCost : ArrayType::SizeAtCompileTime * int(NumTraits<Scalar>::ReadCost),
291 AddCost = ArrayType::SizeAtCompileTime==
Dynamic ?
HugeCost : ArrayType::SizeAtCompileTime * int(NumTraits<Scalar>::AddCost),
292 MulCost = ArrayType::SizeAtCompileTime==
Dynamic ?
HugeCost : ArrayType::SizeAtCompileTime * int(NumTraits<Scalar>::MulCost)
295 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
296 static inline RealScalar epsilon() {
return NumTraits<RealScalar>::epsilon(); }
297 EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
298 static inline RealScalar dummy_precision() {
return NumTraits<RealScalar>::dummy_precision(); }
301 static inline int digits10() {
return NumTraits<Scalar>::digits10(); }
304 template<>
struct NumTraits<std::string>
305 : GenericNumTraits<std::string>
308 RequireInitialization = 1,
315 static inline int digits10() {
return 0; }
318 static inline std::string epsilon();
319 static inline std::string dummy_precision();
320 static inline std::string lowest();
321 static inline std::string highest();
322 static inline std::string infinity();
323 static inline std::string quiet_NaN();
327 template<>
struct NumTraits<void> {};
329 template<>
struct NumTraits<bool> : GenericNumTraits<bool> {};
Namespace containing all symbols from the Eigen library.
Definition: Core:139
const Eigen::CwiseUnaryOp< Eigen::internal::scalar_log10_op< typename Derived::Scalar >, const Derived > log10(const Eigen::ArrayBase< Derived > &x)
const int HugeCost
Definition: Constants.h:46
const Eigen::CwiseUnaryOp< Eigen::internal::scalar_ceil_op< typename Derived::Scalar >, const Derived > ceil(const Eigen::ArrayBase< Derived > &x)
const int Dynamic
Definition: Constants.h:24
const Eigen::CwiseUnaryOp< Eigen::internal::scalar_log_op< typename Derived::Scalar >, const Derived > log(const Eigen::ArrayBase< Derived > &x)
Holds information about the various numeric (i.e. scalar) types allowed by Eigen.
Definition: NumTraits.h:231