#pragma once #include "common.hip.hpp" template __host__ __device__ constexpr auto calculate_default_strides_impl(PreviousStrides, RemainLengths) { constexpr index_t previous_stride = PreviousStrides{}.Front(); constexpr index_t current_length = RemainLengths{}.Back(); constexpr index_t current_stride = current_length * previous_stride; return calculate_default_strides_impl(PreviousStrides{}.PushFront(Number{}), RemainLengths{}.PopBack()); } template __host__ __device__ constexpr auto calculate_default_strides_impl(PreviousStrides, Sequence) { constexpr index_t previous_stride = PreviousStrides{}.Front(); constexpr index_t current_stride = L1 * previous_stride; return PreviousStrides{}.PushFront(Number{}); } template __host__ __device__ constexpr auto calculate_default_strides(Lengths) { return calculate_default_strides_impl(Sequence<1>{}, Lengths{}); } // this is ugly, only for 2d template __host__ __device__ constexpr auto calculate_default_strides_aligned(Sequence, Number) { constexpr index_t L1_align = Align * ((L1 + Align - 1) / Align); return Sequence{}; } // this is ugly, only for 3d template __host__ __device__ constexpr auto calculate_default_strides_aligned(Sequence, Number) { constexpr index_t L2_align = Align * ((L2 + Align - 1) / Align); return Sequence{}; } // this is ugly, only for 4d template __host__ __device__ constexpr auto calculate_default_strides_aligned(Sequence, Number) { constexpr index_t L3_align = Align * ((L3 + Align - 1) / Align); return Sequence{}; } template struct ConstantTensorDescriptor { using Type = ConstantTensorDescriptor; static constexpr index_t nDim = Lengths::GetSize(); __host__ __device__ constexpr ConstantTensorDescriptor() { static_assert(Lengths::GetSize() == Strides::GetSize(), "nDim not consistent"); } __host__ __device__ static constexpr index_t GetNumOfDimension() { return nDim; } __host__ __device__ static constexpr Lengths GetLengths() { return Lengths{}; } __host__ __device__ static constexpr Strides GetStrides() { return Strides{}; } template __host__ __device__ static constexpr index_t GetLength(Number) { return Lengths{}.Get(Number{}); } template __host__ __device__ static constexpr index_t GetStride(Number) { return Strides{}.Get(Number{}); } __host__ __device__ static constexpr index_t GetElementSize() { return accumulate_on_sequence(Lengths{}, std::multiplies{}, Number<1>{}); } template > __host__ __device__ static constexpr index_t GetElementSpace(Align align = Align{}) { constexpr index_t element_space_unaligned = accumulate_on_sequence( (GetLengths() - Number<1>{}) * GetStrides(), std::plus{}, Number<1>{}); return align.Get() * ((element_space_unaligned + align.Get() - 1) / align.Get()); } template __host__ __device__ static index_t Get1dIndex(Array multi_id) { static_assert(NSize == nDim, "wrong! Dimension not consistent"); index_t id = 0; static_for<0, nDim, 1>{}([&](auto IDim) { constexpr index_t idim = IDim.Get(); id += multi_id[idim] * GetStride(IDim); }); return id; } template __host__ __device__ static index_t Get1dIndex(Is... is) { static_assert(sizeof...(Is) == nDim, "number of multi-index is wrong"); const auto multi_id = Array(is...); return Get1dIndex(multi_id); } template __host__ __device__ static constexpr index_t Get1dIndex(Sequence /*multi_id*/) { static_assert(sizeof...(Is) == nDim, "wrong! Dimension not consistent"); constexpr auto multi_id = Sequence{}; return accumulate_on_sequence(multi_id * GetStrides(), std::plus{}, Number<0>{}); } __host__ __device__ static Array GetMultiIndex(index_t id) { Array multi_id; static_for<0, nDim - 1, 1>{}([&](auto IDim) { constexpr index_t idim = IDim.Get(); multi_id[idim] = id / GetStride(IDim); id -= multi_id[idim] * GetStride(IDim); }); multi_id[nDim - 1] = id / GetStride(Number{}); return multi_id; } __host__ __device__ static constexpr auto Pack() { constexpr auto default_strides = calculate_default_strides(Lengths{}); return ConstantTensorDescriptor{}; } template __host__ __device__ static constexpr auto Extract(Number... extract_dims) { static_assert(sizeof...(IDims) <= GetNumOfDimension(), "wrong! too many number of dimensions to be extracted"); return make_ConstantTensorDescriptor(Lengths{}.Extract(extract_dims...), Strides{}.Extract(extract_dims...)); } template __host__ __device__ static constexpr auto Slice(Number, Number) { return make_ConstantTensorDescriptor(Lengths{}.Modify(Number{}, Number{}), Strides{}); } template __host__ __device__ static constexpr auto Fold(Number, Number...) { constexpr auto fold_intervals = Sequence{}; constexpr index_t fold_intervals_product = accumulate_on_sequence(fold_intervals, std::multiplies{}, Number<1>{}); constexpr auto unfold_length = GetLength(Number{}); constexpr auto unfold_stride = GetStride(Number{}); // length of the dimension to be folded needs to be dividable by fold_interval_product, // otherwise, folding is invalid static_assert(unfold_length % fold_intervals_product == 0, "wrong! length on the dimension to be folded cannot be evenly divided!"); // folded lengths constexpr auto fold_lengths = Sequence{}.Append(fold_intervals); // folded strides constexpr auto fold_strides = Number{} * reverse_scan_sequence(fold_intervals.PushBack(Number<1>{}), std::multiplies{}); // left and right constexpr auto left = make_increasing_sequence(Number<0>{}, Number{}, Number<1>{}); constexpr auto right = make_increasing_sequence( Number{}, Number{}, Number<1>{}); return make_ConstantTensorDescriptor( GetLengths().Extract(left).Append(fold_lengths).Append(GetLengths().Extract(right)), GetStrides().Extract(left).Append(fold_strides).Append(GetStrides().Extract(right))); } template __host__ __device__ static constexpr auto Unfold(Number, Number) { static_assert(FirstUnfoldDim >= 0 && LastUnfoldDim < nDim && FirstUnfoldDim <= LastUnfoldDim, "wrong! should have FirstUnfoldDim <= LastUnfoldDim!"); // dimensions to be unfold need to be in descending order (w.r.t. strides), and need to be // packed in memory, otherwise, unfolding is invalid static_for{}([&](auto IDim) { static_assert( GetStride(IDim) >= GetStride(Number{}), "wrong! dimensions to be unfolded need to be in descending order w.r.t strides"); static_assert(GetStride(IDim + 1) * GetLength(IDim + 1) == GetStride(IDim), "wrong! dimensions to be unfolded need to be packed"); }); // left and right constexpr auto left = make_increasing_sequence(Number<0>{}, Number{}, Number<1>{}); constexpr auto middle = make_increasing_sequence( Number{}, Number{}, Number<1>{}); constexpr auto right = make_increasing_sequence( Number{}, Number{}, Number<1>{}); // length and stride constexpr index_t unfold_length = accumulate_on_sequence( GetLengths().Extract(middle), std::multiplies{}, Number<1>{}); constexpr index_t unfold_stride = GetStride(Number{}); return make_ConstantTensorDescriptor(GetLengths() .Extract(left) .PushBack(Number{}) .Append(GetLengths().Extract(right)), GetStrides() .Extract(left) .PushBack(Number{}) .Append(GetStrides().Extract(right))); } template __host__ __device__ static constexpr auto ReorderGivenNew2Old(Sequence /*new2old*/) { static_assert(sizeof...(IRs) == GetNumOfDimension(), "wrong! dimension is wrong"); constexpr auto map_new2old = Sequence{}; return make_ConstantTensorDescriptor(Lengths{}.ReorderGivenNew2Old(map_new2old), Strides{}.ReorderGivenNew2Old(map_new2old)); } }; template __host__ __device__ constexpr auto make_ConstantTensorDescriptor(Lengths) { using Strides = decltype(calculate_default_strides(Lengths{})); return ConstantTensorDescriptor{}; } template __host__ __device__ constexpr auto make_ConstantTensorDescriptor(Lengths, Strides) { return ConstantTensorDescriptor{}; } template __host__ __device__ constexpr auto make_ConstantTensorDescriptor_aligned(Lengths, Number) { using Strides = decltype(calculate_default_strides_aligned(Lengths{}, Number{})); return ConstantTensorDescriptor{}; } template __host__ __device__ void print_ConstantTensorDescriptor(TDesc, const char* s) { constexpr auto desc = TDesc{}; constexpr index_t ndim = desc.GetNumOfDimension(); static_assert(ndim >= 2 && ndim <= 10, "wrong!"); if(ndim == 2) { constexpr auto I0 = Number<0>{}; constexpr auto I1 = Number<1>{}; printf("%s dim %u, lengths {%u %u}, strides {%u %u}\n", s, desc.GetNumOfDimension(), desc.GetLength(I0), desc.GetLength(I1), desc.GetStride(I0), desc.GetStride(I1)); } else if(ndim == 3) { constexpr auto I0 = Number<0>{}; constexpr auto I1 = Number<1>{}; constexpr auto I2 = Number<2>{}; printf("%s dim %u, lengths {%u %u %u}, strides {%u %u %u}\n", s, desc.GetNumOfDimension(), desc.GetLength(I0), desc.GetLength(I1), desc.GetLength(I2), desc.GetStride(I0), desc.GetStride(I1), desc.GetStride(I2)); } else if(ndim == 4) { constexpr auto I0 = Number<0>{}; constexpr auto I1 = Number<1>{}; constexpr auto I2 = Number<2>{}; constexpr auto I3 = Number<3>{}; printf("%s dim %u, lengths {%u %u %u %u}, strides {%u %u %u %u}\n", s, desc.GetNumOfDimension(), desc.GetLength(I0), desc.GetLength(I1), desc.GetLength(I2), desc.GetLength(I3), desc.GetStride(I0), desc.GetStride(I1), desc.GetStride(I2), desc.GetStride(I3)); } else if(ndim == 5) { constexpr auto I0 = Number<0>{}; constexpr auto I1 = Number<1>{}; constexpr auto I2 = Number<2>{}; constexpr auto I3 = Number<3>{}; constexpr auto I4 = Number<4>{}; printf("%s dim %u, lengths {%u %u %u %u %u}, strides {%u %u %u %u %u}\n", s, desc.GetNumOfDimension(), desc.GetLength(I0), desc.GetLength(I1), desc.GetLength(I2), desc.GetLength(I3), desc.GetLength(I4), desc.GetStride(I0), desc.GetStride(I1), desc.GetStride(I2), desc.GetStride(I3), desc.GetStride(I4)); } else if(ndim == 6) { constexpr auto I0 = Number<0>{}; constexpr auto I1 = Number<1>{}; constexpr auto I2 = Number<2>{}; constexpr auto I3 = Number<3>{}; constexpr auto I4 = Number<4>{}; constexpr auto I5 = Number<5>{}; printf("%s dim %u, lengths {%u %u %u %u %u %u}, strides {%u %u %u %u %u %u}\n", s, desc.GetNumOfDimension(), desc.GetLength(I0), desc.GetLength(I1), desc.GetLength(I2), desc.GetLength(I3), desc.GetLength(I4), desc.GetLength(I5), desc.GetStride(I0), desc.GetStride(I1), desc.GetStride(I2), desc.GetStride(I3), desc.GetStride(I4), desc.GetStride(I5)); } else if(ndim == 7) { constexpr auto I0 = Number<0>{}; constexpr auto I1 = Number<1>{}; constexpr auto I2 = Number<2>{}; constexpr auto I3 = Number<3>{}; constexpr auto I4 = Number<4>{}; constexpr auto I5 = Number<5>{}; constexpr auto I6 = Number<6>{}; printf("%s dim %u, lengths {%u %u %u %u %u %u %u}, strides {%u %u %u %u %u %u %u}\n", s, desc.GetNumOfDimension(), desc.GetLength(I0), desc.GetLength(I1), desc.GetLength(I2), desc.GetLength(I3), desc.GetLength(I4), desc.GetLength(I5), desc.GetLength(I6), desc.GetStride(I0), desc.GetStride(I1), desc.GetStride(I2), desc.GetStride(I3), desc.GetStride(I4), desc.GetStride(I5), desc.GetStride(I6)); } else if(ndim == 8) { constexpr auto I0 = Number<0>{}; constexpr auto I1 = Number<1>{}; constexpr auto I2 = Number<2>{}; constexpr auto I3 = Number<3>{}; constexpr auto I4 = Number<4>{}; constexpr auto I5 = Number<5>{}; constexpr auto I6 = Number<6>{}; constexpr auto I7 = Number<7>{}; printf("%s dim %u, lengths {%u %u %u %u %u %u %u %u}, strides {%u %u %u %u %u %u %u %u}\n", s, desc.GetNumOfDimension(), desc.GetLength(I0), desc.GetLength(I1), desc.GetLength(I2), desc.GetLength(I3), desc.GetLength(I4), desc.GetLength(I5), desc.GetLength(I6), desc.GetLength(I7), desc.GetStride(I0), desc.GetStride(I1), desc.GetStride(I2), desc.GetStride(I3), desc.GetStride(I4), desc.GetStride(I5), desc.GetStride(I6), desc.GetStride(I7)); } else if(ndim == 9) { constexpr auto I0 = Number<0>{}; constexpr auto I1 = Number<1>{}; constexpr auto I2 = Number<2>{}; constexpr auto I3 = Number<3>{}; constexpr auto I4 = Number<4>{}; constexpr auto I5 = Number<5>{}; constexpr auto I6 = Number<6>{}; constexpr auto I7 = Number<7>{}; constexpr auto I8 = Number<8>{}; printf("%s dim %u, lengths {%u %u %u %u %u %u %u %u %u}, strides {%u %u %u %u %u %u %u %u " "%u}\n", s, desc.GetNumOfDimension(), desc.GetLength(I0), desc.GetLength(I1), desc.GetLength(I2), desc.GetLength(I3), desc.GetLength(I4), desc.GetLength(I5), desc.GetLength(I6), desc.GetLength(I7), desc.GetLength(I8), desc.GetStride(I0), desc.GetStride(I1), desc.GetStride(I2), desc.GetStride(I3), desc.GetStride(I4), desc.GetStride(I5), desc.GetStride(I6), desc.GetStride(I7), desc.GetStride(I8)); } else if(ndim == 10) { constexpr auto I0 = Number<0>{}; constexpr auto I1 = Number<1>{}; constexpr auto I2 = Number<2>{}; constexpr auto I3 = Number<3>{}; constexpr auto I4 = Number<4>{}; constexpr auto I5 = Number<5>{}; constexpr auto I6 = Number<6>{}; constexpr auto I7 = Number<7>{}; constexpr auto I8 = Number<8>{}; constexpr auto I9 = Number<9>{}; printf("%s dim %u, lengths {%u %u %u %u %u %u %u %u %u %u}, strides {%u %u %u %u %u %u %u " "%u %u %u}\n", s, desc.GetNumOfDimension(), desc.GetLength(I0), desc.GetLength(I1), desc.GetLength(I2), desc.GetLength(I3), desc.GetLength(I4), desc.GetLength(I5), desc.GetLength(I6), desc.GetLength(I7), desc.GetLength(I8), desc.GetLength(I9), desc.GetStride(I0), desc.GetStride(I1), desc.GetStride(I2), desc.GetStride(I3), desc.GetStride(I4), desc.GetStride(I5), desc.GetStride(I6), desc.GetStride(I7), desc.GetStride(I8), desc.GetStride(I9)); } }