5#ifndef GKO_PUBLIC_CORE_BASE_RANGE_HPP_
6#define GKO_PUBLIC_CORE_BASE_RANGE_HPP_
11#include <ginkgo/core/base/math.hpp>
12#include <ginkgo/core/base/types.hpp>
13#include <ginkgo/core/base/utils.hpp>
55 :
span{point, point + 1}
94GKO_ATTRIBUTES GKO_INLINE
constexpr bool operator<(
const span& first,
101GKO_ATTRIBUTES GKO_INLINE
constexpr bool operator<=(
const span& first,
104 return first.end <= second.begin;
108GKO_ATTRIBUTES GKO_INLINE
constexpr bool operator>(
const span& first,
111 return second < first;
115GKO_ATTRIBUTES GKO_INLINE
constexpr bool operator>=(
const span& first,
118 return second <= first;
122GKO_ATTRIBUTES GKO_INLINE
constexpr bool operator==(
const span& first,
125 return first.begin == second.begin && first.end == second.end;
129GKO_ATTRIBUTES GKO_INLINE
constexpr bool operator!=(
const span& first,
132 return !(first == second);
146template <
size_type CurrentDimension = 0,
typename FirstRange,
147 typename SecondRange>
148GKO_ATTRIBUTES
constexpr GKO_INLINE
149 std::enable_if_t<(CurrentDimension >=
max(FirstRange::dimensionality,
150 SecondRange::dimensionality)),
152 equal_dimensions(
const FirstRange&,
const SecondRange&)
157template <
size_type CurrentDimension = 0,
typename FirstRange,
158 typename SecondRange>
159GKO_ATTRIBUTES
constexpr GKO_INLINE
160 std::enable_if_t<(CurrentDimension <
max(FirstRange::dimensionality,
161 SecondRange::dimensionality)),
163 equal_dimensions(
const FirstRange& first,
const SecondRange& second)
165 return first.length(CurrentDimension) == second.length(CurrentDimension) &&
166 equal_dimensions<CurrentDimension + 1>(first, second);
179template <
class First,
class... Rest>
180struct head<First, Rest...> {
188using head_t =
typename head<T...>::type;
303template <
typename Accessor>
330 typename... AccessorParams,
331 typename = std::enable_if_t<
332 sizeof...(AccessorParams) != 1 ||
334 range, std::decay<detail::head_t<AccessorParams...>>>::value>>
335 GKO_ATTRIBUTES
constexpr explicit range(AccessorParams&&... params)
336 : accessor_{std::forward<AccessorParams>(params)...}
351 template <
typename... DimensionTypes>
352 GKO_ATTRIBUTES
constexpr auto operator()(DimensionTypes&&... dimensions)
353 const ->
decltype(std::declval<accessor>()(
354 std::forward<DimensionTypes>(dimensions)...))
357 "Too many dimensions in range call");
358 return accessor_(std::forward<DimensionTypes>(dimensions)...);
369 template <
typename OtherAccessor>
373 GKO_ASSERT(detail::equal_dimensions(*
this, other));
374 accessor_.copy_from(other);
393 GKO_ASSERT(detail::equal_dimensions(*
this, other));
394 accessor_.copy_from(other.get_accessor());
409 return accessor_.length(dimension);
429 GKO_ATTRIBUTES
constexpr const accessor& get_accessor() const noexcept
447enum class operation_kind { range_by_range, scalar_by_range, range_by_scalar };
450template <
typename Accessor,
typename Operation>
451struct implement_unary_operation {
452 using accessor = Accessor;
453 static constexpr size_type dimensionality = accessor::dimensionality;
455 GKO_ATTRIBUTES
constexpr explicit implement_unary_operation(
456 const Accessor& operand)
460 template <
typename... DimensionTypes>
461 GKO_ATTRIBUTES
constexpr auto operator()(
462 const DimensionTypes&... dimensions)
const
463 ->
decltype(Operation::evaluate(std::declval<accessor>(),
466 return Operation::evaluate(operand, dimensions...);
471 return operand.length(dimension);
474 template <
typename OtherAccessor>
475 GKO_ATTRIBUTES
void copy_from(
const OtherAccessor& other)
const =
delete;
477 const accessor operand;
481template <operation_kind Kind,
typename FirstOperand,
typename SecondOperand,
483struct implement_binary_operation {};
485template <
typename FirstAccessor,
typename SecondAccessor,
typename Operation>
486struct implement_binary_operation<operation_kind::range_by_range, FirstAccessor,
487 SecondAccessor, Operation> {
488 using first_accessor = FirstAccessor;
489 using second_accessor = SecondAccessor;
490 static_assert(first_accessor::dimensionality ==
491 second_accessor::dimensionality,
492 "Both ranges need to have the same number of dimensions");
493 static constexpr size_type dimensionality = first_accessor::dimensionality;
495 GKO_ATTRIBUTES
explicit implement_binary_operation(
496 const FirstAccessor& first,
const SecondAccessor& second)
497 : first{first}, second{second}
499 GKO_ASSERT(gko::detail::equal_dimensions(first, second));
502 template <
typename... DimensionTypes>
503 GKO_ATTRIBUTES
constexpr auto operator()(
504 const DimensionTypes&... dimensions)
const
505 ->
decltype(Operation::evaluate_range_by_range(
506 std::declval<first_accessor>(), std::declval<second_accessor>(),
509 return Operation::evaluate_range_by_range(first, second, dimensions...);
514 return first.length(dimension);
517 template <
typename OtherAccessor>
518 GKO_ATTRIBUTES
void copy_from(
const OtherAccessor& other)
const =
delete;
520 const first_accessor first;
521 const second_accessor second;
524template <
typename FirstOperand,
typename SecondAccessor,
typename Operation>
525struct implement_binary_operation<operation_kind::scalar_by_range, FirstOperand,
526 SecondAccessor, Operation> {
527 using second_accessor = SecondAccessor;
528 static constexpr size_type dimensionality = second_accessor::dimensionality;
530 GKO_ATTRIBUTES
constexpr explicit implement_binary_operation(
531 const FirstOperand& first,
const SecondAccessor& second)
532 : first{first}, second{second}
535 template <
typename... DimensionTypes>
536 GKO_ATTRIBUTES
constexpr auto operator()(
537 const DimensionTypes&... dimensions)
const
538 ->
decltype(Operation::evaluate_scalar_by_range(
539 std::declval<FirstOperand>(), std::declval<second_accessor>(),
542 return Operation::evaluate_scalar_by_range(first, second,
548 return second.length(dimension);
551 template <
typename OtherAccessor>
552 GKO_ATTRIBUTES
void copy_from(
const OtherAccessor& other)
const =
delete;
554 const FirstOperand first;
555 const second_accessor second;
558template <
typename FirstAccessor,
typename SecondOperand,
typename Operation>
559struct implement_binary_operation<operation_kind::range_by_scalar,
560 FirstAccessor, SecondOperand, Operation> {
561 using first_accessor = FirstAccessor;
562 static constexpr size_type dimensionality = first_accessor::dimensionality;
564 GKO_ATTRIBUTES
constexpr explicit implement_binary_operation(
565 const FirstAccessor& first,
const SecondOperand& second)
566 : first{first}, second{second}
569 template <
typename... DimensionTypes>
570 GKO_ATTRIBUTES
constexpr auto operator()(
571 const DimensionTypes&... dimensions)
const
572 ->
decltype(Operation::evaluate_range_by_scalar(
573 std::declval<first_accessor>(), std::declval<SecondOperand>(),
576 return Operation::evaluate_range_by_scalar(first, second,
582 return first.length(dimension);
585 template <
typename OtherAccessor>
586 GKO_ATTRIBUTES
void copy_from(
const OtherAccessor& other)
const =
delete;
588 const first_accessor first;
589 const SecondOperand second;
595#define GKO_DEPRECATED_UNARY_RANGE_OPERATION(_operation_deprecated_name, \
597 namespace accessor { \
598 template <typename Operand> \
599 struct GKO_DEPRECATED("Please use " #_operation_name) \
600 _operation_deprecated_name : _operation_name<Operand> {}; \
602 static_assert(true, \
603 "This assert is used to counter the false positive extra " \
604 "semi-colon warnings")
607#define GKO_ENABLE_UNARY_RANGE_OPERATION(_operation_name, _operator_name, \
609 namespace accessor { \
610 template <typename Operand> \
611 struct _operation_name \
612 : ::gko::detail::implement_unary_operation<Operand, \
613 ::gko::_operator> { \
614 using ::gko::detail::implement_unary_operation< \
615 Operand, ::gko::_operator>::implement_unary_operation; \
618 GKO_BIND_UNARY_RANGE_OPERATION_TO_OPERATOR(_operation_name, _operator_name)
621#define GKO_BIND_UNARY_RANGE_OPERATION_TO_OPERATOR(_operation_name, \
623 template <typename Accessor> \
624 GKO_ATTRIBUTES constexpr GKO_INLINE \
625 range<accessor::_operation_name<Accessor>> \
626 _operator_name(const range<Accessor>& operand) \
628 return range<accessor::_operation_name<Accessor>>( \
629 operand.get_accessor()); \
631 static_assert(true, \
632 "This assert is used to counter the false positive extra " \
633 "semi-colon warnings")
636#define GKO_DEFINE_SIMPLE_UNARY_OPERATION(_name, ...) \
639 template <typename Operand> \
640 GKO_ATTRIBUTES static constexpr auto simple_evaluate_impl( \
641 const Operand& operand) -> decltype(__VA_ARGS__) \
643 return __VA_ARGS__; \
647 template <typename AccessorType, typename... DimensionTypes> \
648 GKO_ATTRIBUTES static constexpr auto evaluate( \
649 const AccessorType& accessor, const DimensionTypes&... dimensions) \
650 -> decltype(simple_evaluate_impl(accessor(dimensions...))) \
652 return simple_evaluate_impl(accessor(dimensions...)); \
662GKO_DEFINE_SIMPLE_UNARY_OPERATION(
unary_plus, +operand);
663GKO_DEFINE_SIMPLE_UNARY_OPERATION(
unary_minus, -operand);
666GKO_DEFINE_SIMPLE_UNARY_OPERATION(
logical_not, !operand);
669GKO_DEFINE_SIMPLE_UNARY_OPERATION(
bitwise_not, ~(operand));
686GKO_ENABLE_UNARY_RANGE_OPERATION(unary_plus,
operator+,
687 accessor::detail::unary_plus);
688GKO_ENABLE_UNARY_RANGE_OPERATION(
unary_minus,
operator-,
689 accessor::detail::unary_minus);
692GKO_ENABLE_UNARY_RANGE_OPERATION(
logical_not,
operator!,
693 accessor::detail::logical_not);
696GKO_ENABLE_UNARY_RANGE_OPERATION(
bitwise_not,
operator~,
697 accessor::detail::bitwise_not);
702 accessor::detail::zero_operation);
704 accessor::detail::one_operation);
706 accessor::detail::abs_operation);
708 accessor::detail::real_operation);
710 accessor::detail::imag_operation);
712 accessor::detail::conj_operation);
714 accessor::detail::squared_norm_operation);
727template <
typename Accessor>
728struct transpose_operation {
729 using accessor = Accessor;
730 static constexpr size_type dimensionality = accessor::dimensionality;
732 GKO_ATTRIBUTES
constexpr explicit transpose_operation(
733 const Accessor& operand)
737 template <
typename FirstDimensionType,
typename SecondDimensionType,
738 typename... DimensionTypes>
739 GKO_ATTRIBUTES
constexpr auto operator()(
740 const FirstDimensionType& first_dim,
741 const SecondDimensionType& second_dim,
742 const DimensionTypes&... dims)
const
743 ->
decltype(std::declval<accessor>()(second_dim, first_dim, dims...))
745 return operand(second_dim, first_dim, dims...);
750 return dimension < 2 ? operand.length(dimension ^ 1)
751 : operand.length(dimension);
754 template <
typename OtherAccessor>
755 GKO_ATTRIBUTES
void copy_from(
const OtherAccessor& other)
const =
delete;
757 const accessor operand;
764GKO_BIND_UNARY_RANGE_OPERATION_TO_OPERATOR(transpose_operation,
transpose);
767#undef GKO_DEPRECATED_UNARY_RANGE_OPERATION
768#undef GKO_DEFINE_SIMPLE_UNARY_OPERATION
769#undef GKO_ENABLE_UNARY_RANGE_OPERATION
772#define GKO_ENABLE_BINARY_RANGE_OPERATION(_operation_name, _operator_name, \
774 namespace accessor { \
775 template <::gko::detail::operation_kind Kind, typename FirstOperand, \
776 typename SecondOperand> \
777 struct _operation_name \
778 : ::gko::detail::implement_binary_operation< \
779 Kind, FirstOperand, SecondOperand, ::gko::_operator> { \
780 using ::gko::detail::implement_binary_operation< \
781 Kind, FirstOperand, SecondOperand, \
782 ::gko::_operator>::implement_binary_operation; \
785 GKO_BIND_RANGE_OPERATION_TO_OPERATOR(_operation_name, _operator_name); \
786 static_assert(true, \
787 "This assert is used to counter the false positive extra " \
788 "semi-colon warnings")
791#define GKO_BIND_RANGE_OPERATION_TO_OPERATOR(_operation_name, _operator_name) \
792 template <typename Accessor> \
793 GKO_ATTRIBUTES constexpr GKO_INLINE range<accessor::_operation_name< \
794 ::gko::detail::operation_kind::range_by_range, Accessor, Accessor>> \
795 _operator_name(const range<Accessor>& first, \
796 const range<Accessor>& second) \
798 return range<accessor::_operation_name< \
799 ::gko::detail::operation_kind::range_by_range, Accessor, \
800 Accessor>>(first.get_accessor(), second.get_accessor()); \
803 template <typename FirstAccessor, typename SecondAccessor> \
804 GKO_ATTRIBUTES constexpr GKO_INLINE range<accessor::_operation_name< \
805 ::gko::detail::operation_kind::range_by_range, FirstAccessor, \
807 _operator_name(const range<FirstAccessor>& first, \
808 const range<SecondAccessor>& second) \
810 return range<accessor::_operation_name< \
811 ::gko::detail::operation_kind::range_by_range, FirstAccessor, \
812 SecondAccessor>>(first.get_accessor(), second.get_accessor()); \
815 template <typename FirstAccessor, typename SecondOperand> \
816 GKO_ATTRIBUTES constexpr GKO_INLINE range<accessor::_operation_name< \
817 ::gko::detail::operation_kind::range_by_scalar, FirstAccessor, \
819 _operator_name(const range<FirstAccessor>& first, \
820 const SecondOperand& second) \
822 return range<accessor::_operation_name< \
823 ::gko::detail::operation_kind::range_by_scalar, FirstAccessor, \
824 SecondOperand>>(first.get_accessor(), second); \
827 template <typename FirstOperand, typename SecondAccessor> \
828 GKO_ATTRIBUTES constexpr GKO_INLINE range<accessor::_operation_name< \
829 ::gko::detail::operation_kind::scalar_by_range, FirstOperand, \
831 _operator_name(const FirstOperand& first, \
832 const range<SecondAccessor>& second) \
834 return range<accessor::_operation_name< \
835 ::gko::detail::operation_kind::scalar_by_range, FirstOperand, \
836 SecondAccessor>>(first, second.get_accessor()); \
838 static_assert(true, \
839 "This assert is used to counter the false positive extra " \
840 "semi-colon warnings")
843#define GKO_DEPRECATED_SIMPLE_BINARY_OPERATION(_deprecated_name, _name) \
844 struct GKO_DEPRECATED("Please use " #_name) _deprecated_name : _name {}
846#define GKO_DEFINE_SIMPLE_BINARY_OPERATION(_name, ...) \
849 template <typename FirstOperand, typename SecondOperand> \
850 GKO_ATTRIBUTES constexpr static auto simple_evaluate_impl( \
851 const FirstOperand& first, const SecondOperand& second) \
852 -> decltype(__VA_ARGS__) \
854 return __VA_ARGS__; \
858 template <typename FirstAccessor, typename SecondAccessor, \
859 typename... DimensionTypes> \
860 GKO_ATTRIBUTES static constexpr auto evaluate_range_by_range( \
861 const FirstAccessor& first, const SecondAccessor& second, \
862 const DimensionTypes&... dims) \
863 -> decltype(simple_evaluate_impl(first(dims...), second(dims...))) \
865 return simple_evaluate_impl(first(dims...), second(dims...)); \
868 template <typename FirstOperand, typename SecondAccessor, \
869 typename... DimensionTypes> \
870 GKO_ATTRIBUTES static constexpr auto evaluate_scalar_by_range( \
871 const FirstOperand& first, const SecondAccessor& second, \
872 const DimensionTypes&... dims) \
873 -> decltype(simple_evaluate_impl(first, second(dims...))) \
875 return simple_evaluate_impl(first, second(dims...)); \
878 template <typename FirstAccessor, typename SecondOperand, \
879 typename... DimensionTypes> \
880 GKO_ATTRIBUTES static constexpr auto evaluate_range_by_scalar( \
881 const FirstAccessor& first, const SecondOperand& second, \
882 const DimensionTypes&... dims) \
883 -> decltype(simple_evaluate_impl(first(dims...), second)) \
885 return simple_evaluate_impl(first(dims...), second); \
895GKO_DEFINE_SIMPLE_BINARY_OPERATION(add, first + second);
896GKO_DEFINE_SIMPLE_BINARY_OPERATION(sub, first - second);
897GKO_DEFINE_SIMPLE_BINARY_OPERATION(mul, first* second);
898GKO_DEFINE_SIMPLE_BINARY_OPERATION(div, first / second);
899GKO_DEFINE_SIMPLE_BINARY_OPERATION(mod, first % second);
902GKO_DEFINE_SIMPLE_BINARY_OPERATION(less, first < second);
903GKO_DEFINE_SIMPLE_BINARY_OPERATION(greater, first > second);
904GKO_DEFINE_SIMPLE_BINARY_OPERATION(less_or_equal, first <= second);
905GKO_DEFINE_SIMPLE_BINARY_OPERATION(greater_or_equal, first >= second);
906GKO_DEFINE_SIMPLE_BINARY_OPERATION(equal, first == second);
907GKO_DEFINE_SIMPLE_BINARY_OPERATION(not_equal, first != second);
910GKO_DEFINE_SIMPLE_BINARY_OPERATION(logical_or, first || second);
911GKO_DEFINE_SIMPLE_BINARY_OPERATION(logical_and, first&& second);
914GKO_DEFINE_SIMPLE_BINARY_OPERATION(bitwise_or, first | second);
915GKO_DEFINE_SIMPLE_BINARY_OPERATION(bitwise_and, first& second);
916GKO_DEFINE_SIMPLE_BINARY_OPERATION(bitwise_xor, first ^ second);
917GKO_DEFINE_SIMPLE_BINARY_OPERATION(left_shift, first << second);
918GKO_DEFINE_SIMPLE_BINARY_OPERATION(right_shift, first >> second);
921GKO_DEFINE_SIMPLE_BINARY_OPERATION(max_operation,
max(first, second));
922GKO_DEFINE_SIMPLE_BINARY_OPERATION(min_operation,
min(first, second));
924GKO_DEPRECATED_SIMPLE_BINARY_OPERATION(max_operaton, max_operation);
925GKO_DEPRECATED_SIMPLE_BINARY_OPERATION(min_operaton, min_operation);
931GKO_ENABLE_BINARY_RANGE_OPERATION(
add,
operator+, accessor::detail::add);
932GKO_ENABLE_BINARY_RANGE_OPERATION(
sub,
operator-, accessor::detail::sub);
933GKO_ENABLE_BINARY_RANGE_OPERATION(
mul,
operator*, accessor::detail::mul);
934GKO_ENABLE_BINARY_RANGE_OPERATION(
div,
operator/, accessor::detail::div);
935GKO_ENABLE_BINARY_RANGE_OPERATION(
mod,
operator%, accessor::detail::mod);
938GKO_ENABLE_BINARY_RANGE_OPERATION(
less,
operator<, accessor::detail::less);
939GKO_ENABLE_BINARY_RANGE_OPERATION(
greater,
operator>,
940 accessor::detail::greater);
942 accessor::detail::less_or_equal);
944 accessor::detail::greater_or_equal);
945GKO_ENABLE_BINARY_RANGE_OPERATION(
equal,
operator==, accessor::detail::equal);
946GKO_ENABLE_BINARY_RANGE_OPERATION(
not_equal,
operator!=,
947 accessor::detail::not_equal);
950GKO_ENABLE_BINARY_RANGE_OPERATION(
logical_or,
operator||,
951 accessor::detail::logical_or);
952GKO_ENABLE_BINARY_RANGE_OPERATION(
logical_and,
operator&&,
953 accessor::detail::logical_and);
956GKO_ENABLE_BINARY_RANGE_OPERATION(
bitwise_or,
operator|,
957 accessor::detail::bitwise_or);
958GKO_ENABLE_BINARY_RANGE_OPERATION(
bitwise_and,
operator&,
959 accessor::detail::bitwise_and);
960GKO_ENABLE_BINARY_RANGE_OPERATION(
bitwise_xor,
operator^,
961 accessor::detail::bitwise_xor);
962GKO_ENABLE_BINARY_RANGE_OPERATION(
left_shift,
operator<<,
963 accessor::detail::left_shift);
964GKO_ENABLE_BINARY_RANGE_OPERATION(
right_shift,
operator>>,
965 accessor::detail::right_shift);
969 accessor::detail::max_operation);
971 accessor::detail::min_operation);
978template <gko::detail::operation_kind Kind,
typename FirstAccessor,
979 typename SecondAccessor>
980struct mmul_operation {
981 static_assert(Kind == gko::detail::operation_kind::range_by_range,
982 "Matrix multiplication expects both operands to be ranges");
983 using first_accessor = FirstAccessor;
984 using second_accessor = SecondAccessor;
985 static_assert(first_accessor::dimensionality ==
986 second_accessor::dimensionality,
987 "Both ranges need to have the same number of dimensions");
988 static constexpr size_type dimensionality = first_accessor::dimensionality;
990 GKO_ATTRIBUTES
explicit mmul_operation(
const FirstAccessor& first,
991 const SecondAccessor& second)
992 : first{first}, second{second}
994 GKO_ASSERT(first.length(1) == second.length(0));
995 GKO_ASSERT(gko::detail::equal_dimensions<2>(first, second));
998 template <
typename FirstDimension,
typename SecondDimension,
999 typename... DimensionTypes>
1000 GKO_ATTRIBUTES
auto operator()(
const FirstDimension& row,
1001 const SecondDimension& col,
1002 const DimensionTypes&... rest)
const
1003 ->
decltype(std::declval<FirstAccessor>()(row, 0, rest...) *
1004 std::declval<SecondAccessor>()(0, col, rest...) +
1005 std::declval<FirstAccessor>()(row, 1, rest...) *
1006 std::declval<SecondAccessor>()(1, col, rest...))
1009 decltype(first(row, 0, rest...) * second(0, col, rest...) +
1010 first(row, 1, rest...) * second(1, col, rest...));
1011 GKO_ASSERT(first.length(1) == second.length(0));
1013 const auto size = first.length(1);
1014 for (
auto i =
zero(size); i < size; ++i) {
1015 result += first(row, i, rest...) * second(i, col, rest...);
1022 return dimension == 1 ? second.length(1) : first.length(dimension);
1025 template <
typename OtherAccessor>
1026 GKO_ATTRIBUTES
void copy_from(
const OtherAccessor& other)
const =
delete;
1028 const first_accessor first;
1029 const second_accessor second;
1036GKO_BIND_RANGE_OPERATION_TO_OPERATOR(mmul_operation, mmul);
1039#undef GKO_DEFINE_SIMPLE_BINARY_OPERATION
1040#undef GKO_ENABLE_BINARY_RANGE_OPERATION
static constexpr size_type dimensionality
Number of dimensions of the accessor.
Definition range_accessors.hpp:60
A range is a multidimensional view of the memory.
Definition range.hpp:304
Accessor accessor
The type of the underlying accessor.
Definition range.hpp:309
constexpr auto operator()(DimensionTypes &&... dimensions) const -> decltype(std::declval< accessor >()(std::forward< DimensionTypes >(dimensions)...))
Returns a value (or a sub-range) with the specified indexes.
Definition range.hpp:352
constexpr size_type length(size_type dimension) const
Returns the length of the specified dimension of the range.
Definition range.hpp:407
constexpr const accessor * operator->() const noexcept
Returns a pointer to the accessor.
Definition range.hpp:419
static constexpr size_type dimensionality
Definition range.hpp:314
const range & operator=(const range &other) const
Assigns another range to this range.
Definition range.hpp:391
~range()=default
Use the default destructor.
const range & operator=(const range< OtherAccessor > &other) const
Definition range.hpp:370
constexpr range(AccessorParams &&... params)
Creates a new range.
Definition range.hpp:335
The accessor namespace.
Definition range.hpp:657
The Ginkgo namespace.
Definition abstract_factory.hpp:20
constexpr T one()
Returns the multiplicative identity for T.
Definition math.hpp:654
constexpr std::enable_if_t<!is_complex_s< T >::value, T > abs(const T &x)
Returns the absolute value of the object.
Definition math.hpp:962
constexpr T zero()
Returns the additive identity for T.
Definition math.hpp:626
constexpr auto imag(const T &x)
Returns the imaginary part of the object.
Definition math.hpp:916
std::size_t size_type
Integral type used for allocation quantities.
Definition types.hpp:90
constexpr T min(const T &x, const T &y)
Returns the smaller of the arguments.
Definition math.hpp:750
batch_dim< 2, DimensionType > transpose(const batch_dim< 2, DimensionType > &input)
Returns a batch_dim object with its dimensions swapped for batched operators.
Definition batch_dim.hpp:119
constexpr auto squared_norm(const T &x) -> decltype(real(conj(x) *x))
Returns the squared norm of the object.
Definition math.hpp:944
constexpr auto conj(const T &x)
Returns the conjugate of an object.
Definition math.hpp:930
constexpr T max(const T &x, const T &y)
Returns the larger of the arguments.
Definition math.hpp:732
constexpr auto real(const T &x)
Returns the real part of the object.
Definition math.hpp:900
A span that is used exclusively for local numbering.
Definition range.hpp:138
constexpr span(size_type point) noexcept
Creates a span representing a point point.
Definition range.hpp:54
A span is a lightweight structure used to create sub-ranges from other ranges.
Definition range.hpp:46
constexpr span(size_type begin, size_type end) noexcept
Creates a span.
Definition range.hpp:64
constexpr span(size_type point) noexcept
Creates a span representing a point point.
Definition range.hpp:54
constexpr bool is_valid() const
Checks if a span is valid.
Definition range.hpp:73
constexpr size_type length() const
Returns the length of a span.
Definition range.hpp:80
const size_type begin
Beginning of the span.
Definition range.hpp:85
const size_type end
End of the span.
Definition range.hpp:90