forked from M-Labs/nac3
357 lines
12 KiB
C++
357 lines
12 KiB
C++
using int8_t = _BitInt(8);
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using uint8_t = unsigned _BitInt(8);
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using int32_t = _BitInt(32);
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using uint32_t = unsigned _BitInt(32);
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using int64_t = _BitInt(64);
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using uint64_t = unsigned _BitInt(64);
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// NDArray indices are always `uint32_t`.
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using NDIndex = uint32_t;
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// The type of an index or a value describing the length of a range/slice is
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// always `int32_t`.
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using SliceIndex = int32_t;
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namespace {
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template <typename T>
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const T& max(const T& a, const T& b) {
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return a > b ? a : b;
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}
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template <typename T>
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const T& min(const T& a, const T& b) {
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return a > b ? b : a;
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}
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// adapted from GNU Scientific Library:
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// https://git.savannah.gnu.org/cgit/gsl.git/tree/sys/pow_int.c need to make
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// sure `exp >= 0` before calling this function
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template <typename T>
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T __nac3_int_exp_impl(T base, T exp) {
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T res = 1;
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/* repeated squaring method */
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do {
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if (exp & 1) {
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res *= base; /* for n odd */
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}
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exp >>= 1;
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base *= base;
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} while (exp);
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return res;
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}
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template <typename SizeT>
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SizeT __nac3_ndarray_calc_size_impl(const SizeT* list_data, SizeT list_len,
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SizeT begin_idx, SizeT end_idx) {
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__builtin_assume(end_idx <= list_len);
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SizeT num_elems = 1;
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for (SizeT i = begin_idx; i < end_idx; ++i) {
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SizeT val = list_data[i];
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__builtin_assume(val > 0);
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num_elems *= val;
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}
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return num_elems;
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}
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template <typename SizeT>
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void __nac3_ndarray_calc_nd_indices_impl(SizeT index, const SizeT* dims,
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SizeT num_dims, NDIndex* idxs) {
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SizeT stride = 1;
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for (SizeT dim = 0; dim < num_dims; dim++) {
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SizeT i = num_dims - dim - 1;
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__builtin_assume(dims[i] > 0);
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idxs[i] = (index / stride) % dims[i];
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stride *= dims[i];
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}
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}
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template <typename SizeT>
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SizeT __nac3_ndarray_flatten_index_impl(const SizeT* dims, SizeT num_dims,
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const NDIndex* indices,
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SizeT num_indices) {
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SizeT idx = 0;
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SizeT stride = 1;
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for (SizeT i = 0; i < num_dims; ++i) {
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SizeT ri = num_dims - i - 1;
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if (ri < num_indices) {
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idx += stride * indices[ri];
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}
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__builtin_assume(dims[i] > 0);
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stride *= dims[ri];
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}
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return idx;
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}
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template <typename SizeT>
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void __nac3_ndarray_calc_broadcast_impl(const SizeT* lhs_dims, SizeT lhs_ndims,
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const SizeT* rhs_dims, SizeT rhs_ndims,
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SizeT* out_dims) {
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SizeT max_ndims = lhs_ndims > rhs_ndims ? lhs_ndims : rhs_ndims;
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for (SizeT i = 0; i < max_ndims; ++i) {
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const SizeT* lhs_dim_sz =
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i < lhs_ndims ? &lhs_dims[lhs_ndims - i - 1] : nullptr;
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const SizeT* rhs_dim_sz =
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i < rhs_ndims ? &rhs_dims[rhs_ndims - i - 1] : nullptr;
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SizeT* out_dim = &out_dims[max_ndims - i - 1];
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if (lhs_dim_sz == nullptr) {
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*out_dim = *rhs_dim_sz;
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} else if (rhs_dim_sz == nullptr) {
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*out_dim = *lhs_dim_sz;
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} else if (*lhs_dim_sz == 1) {
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*out_dim = *rhs_dim_sz;
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} else if (*rhs_dim_sz == 1) {
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*out_dim = *lhs_dim_sz;
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} else if (*lhs_dim_sz == *rhs_dim_sz) {
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*out_dim = *lhs_dim_sz;
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} else {
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__builtin_unreachable();
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}
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}
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}
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template <typename SizeT>
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void __nac3_ndarray_calc_broadcast_idx_impl(const SizeT* src_dims,
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SizeT src_ndims,
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const NDIndex* in_idx,
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NDIndex* out_idx) {
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for (SizeT i = 0; i < src_ndims; ++i) {
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SizeT src_i = src_ndims - i - 1;
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out_idx[src_i] = src_dims[src_i] == 1 ? 0 : in_idx[src_i];
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}
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}
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} // namespace
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extern "C" {
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#define DEF_nac3_int_exp_(T) \
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T __nac3_int_exp_##T(T base, T exp) { \
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return __nac3_int_exp_impl(base, exp); \
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}
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DEF_nac3_int_exp_(int32_t) DEF_nac3_int_exp_(int64_t)
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DEF_nac3_int_exp_(uint32_t) DEF_nac3_int_exp_(uint64_t)
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SliceIndex
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__nac3_slice_index_bound(SliceIndex i, const SliceIndex len) {
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if (i < 0) {
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i = len + i;
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}
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if (i < 0) {
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return 0;
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} else if (i > len) {
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return len;
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}
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return i;
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}
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SliceIndex __nac3_range_slice_len(const SliceIndex start, const SliceIndex end,
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const SliceIndex step) {
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SliceIndex diff = end - start;
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if (diff > 0 && step > 0) {
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return ((diff - 1) / step) + 1;
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} else if (diff < 0 && step < 0) {
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return ((diff + 1) / step) + 1;
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} else {
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return 0;
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}
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}
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// Handle list assignment and dropping part of the list when
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// both dest_step and src_step are +1.
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// - All the index must *not* be out-of-bound or negative,
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// - The end index is *inclusive*,
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// - The length of src and dest slice size should already
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// be checked: if dest.step == 1 then len(src) <= len(dest) else len(src) ==
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// len(dest)
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SliceIndex __nac3_list_slice_assign_var_size(
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SliceIndex dest_start, SliceIndex dest_end, SliceIndex dest_step,
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uint8_t* dest_arr, SliceIndex dest_arr_len, SliceIndex src_start,
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SliceIndex src_end, SliceIndex src_step, uint8_t* src_arr,
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SliceIndex src_arr_len, const SliceIndex size) {
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/* if dest_arr_len == 0, do nothing since we do not support extending list
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*/
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if (dest_arr_len == 0) return dest_arr_len;
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/* if both step is 1, memmove directly, handle the dropping of the list, and
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* shrink size */
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if (src_step == dest_step && dest_step == 1) {
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const SliceIndex src_len =
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(src_end >= src_start) ? (src_end - src_start + 1) : 0;
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const SliceIndex dest_len =
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(dest_end >= dest_start) ? (dest_end - dest_start + 1) : 0;
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if (src_len > 0) {
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__builtin_memmove(dest_arr + dest_start * size,
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src_arr + src_start * size, src_len * size);
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}
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if (dest_len > 0) {
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/* dropping */
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__builtin_memmove(dest_arr + (dest_start + src_len) * size,
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dest_arr + (dest_end + 1) * size,
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(dest_arr_len - dest_end - 1) * size);
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}
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/* shrink size */
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return dest_arr_len - (dest_len - src_len);
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}
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/* if two range overlaps, need alloca */
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uint8_t need_alloca =
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(dest_arr == src_arr) &&
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!(max(dest_start, dest_end) < min(src_start, src_end) ||
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max(src_start, src_end) < min(dest_start, dest_end));
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if (need_alloca) {
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uint8_t* tmp =
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reinterpret_cast<uint8_t*>(__builtin_alloca(src_arr_len * size));
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__builtin_memcpy(tmp, src_arr, src_arr_len * size);
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src_arr = tmp;
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}
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SliceIndex src_ind = src_start;
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SliceIndex dest_ind = dest_start;
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for (; (src_step > 0) ? (src_ind <= src_end) : (src_ind >= src_end);
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src_ind += src_step, dest_ind += dest_step) {
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/* for constant optimization */
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if (size == 1) {
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__builtin_memcpy(dest_arr + dest_ind, src_arr + src_ind, 1);
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} else if (size == 4) {
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__builtin_memcpy(dest_arr + dest_ind * 4, src_arr + src_ind * 4, 4);
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} else if (size == 8) {
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__builtin_memcpy(dest_arr + dest_ind * 8, src_arr + src_ind * 8, 8);
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} else {
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/* memcpy for var size, cannot overlap after previous alloca */
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__builtin_memcpy(dest_arr + dest_ind * size,
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src_arr + src_ind * size, size);
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}
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}
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/* only dest_step == 1 can we shrink the dest list. */
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/* size should be ensured prior to calling this function */
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if (dest_step == 1 && dest_end >= dest_start) {
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__builtin_memmove(dest_arr + dest_ind * size,
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dest_arr + (dest_end + 1) * size,
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(dest_arr_len - dest_end - 1) * size);
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return dest_arr_len - (dest_end - dest_ind) - 1;
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}
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return dest_arr_len;
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}
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int32_t __nac3_isinf(double x) { return __builtin_isinf(x); }
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int32_t __nac3_isnan(double x) { return __builtin_isnan(x); }
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double tgamma(double arg);
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double __nac3_gamma(double z) {
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// Handling for denormals
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// | x | Python gamma(x) | C tgamma(x) |
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// --- | ----------------- | --------------- | ----------- |
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// (1) | nan | nan | nan |
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// (2) | -inf | -inf | inf |
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// (3) | inf | inf | inf |
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// (4) | 0.0 | inf | inf |
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// (5) | {-1.0, -2.0, ...} | inf | nan |
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// (1)-(3)
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if (__builtin_isinf(z) || __builtin_isnan(z)) {
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return z;
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}
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double v = tgamma(z);
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// (4)-(5)
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return __builtin_isinf(v) || __builtin_isnan(v) ? __builtin_inf() : v;
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}
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double lgamma(double arg);
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double __nac3_gammaln(double x) {
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// libm's handling of value overflows differs from scipy:
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// - scipy: gammaln(-inf) -> -inf
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// - libm : lgamma(-inf) -> inf
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if (__builtin_isinf(x)) {
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return x;
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}
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return lgamma(x);
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}
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double j0(double x);
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double __nac3_j0(double x) {
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// libm's handling of value overflows differs from scipy:
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// - scipy: j0(inf) -> nan
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// - libm : j0(inf) -> 0.0
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if (__builtin_isinf(x)) {
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return __builtin_nan("");
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}
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return j0(x);
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}
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uint32_t __nac3_ndarray_calc_size(const uint32_t* list_data, uint32_t list_len,
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uint32_t begin_idx, uint32_t end_idx) {
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return __nac3_ndarray_calc_size_impl(list_data, list_len, begin_idx,
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end_idx);
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}
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uint64_t __nac3_ndarray_calc_size64(const uint64_t* list_data,
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uint64_t list_len, uint64_t begin_idx,
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uint64_t end_idx) {
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return __nac3_ndarray_calc_size_impl(list_data, list_len, begin_idx,
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end_idx);
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}
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void __nac3_ndarray_calc_nd_indices(uint32_t index, const uint32_t* dims,
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uint32_t num_dims, NDIndex* idxs) {
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__nac3_ndarray_calc_nd_indices_impl(index, dims, num_dims, idxs);
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}
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void __nac3_ndarray_calc_nd_indices64(uint64_t index, const uint64_t* dims,
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uint64_t num_dims, NDIndex* idxs) {
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__nac3_ndarray_calc_nd_indices_impl(index, dims, num_dims, idxs);
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}
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uint32_t __nac3_ndarray_flatten_index(const uint32_t* dims, uint32_t num_dims,
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const NDIndex* indices,
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uint32_t num_indices) {
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return __nac3_ndarray_flatten_index_impl(dims, num_dims, indices,
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num_indices);
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}
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uint64_t __nac3_ndarray_flatten_index64(const uint64_t* dims, uint64_t num_dims,
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const NDIndex* indices,
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uint64_t num_indices) {
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return __nac3_ndarray_flatten_index_impl(dims, num_dims, indices,
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num_indices);
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}
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void __nac3_ndarray_calc_broadcast(const uint32_t* lhs_dims, uint32_t lhs_ndims,
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const uint32_t* rhs_dims, uint32_t rhs_ndims,
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uint32_t* out_dims) {
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return __nac3_ndarray_calc_broadcast_impl(lhs_dims, lhs_ndims, rhs_dims,
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rhs_ndims, out_dims);
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}
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void __nac3_ndarray_calc_broadcast64(const uint64_t* lhs_dims,
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uint64_t lhs_ndims,
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const uint64_t* rhs_dims,
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uint64_t rhs_ndims, uint64_t* out_dims) {
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return __nac3_ndarray_calc_broadcast_impl(lhs_dims, lhs_ndims, rhs_dims,
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rhs_ndims, out_dims);
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}
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void __nac3_ndarray_calc_broadcast_idx(const uint32_t* src_dims,
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uint32_t src_ndims,
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const NDIndex* in_idx,
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NDIndex* out_idx) {
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__nac3_ndarray_calc_broadcast_idx_impl(src_dims, src_ndims, in_idx,
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out_idx);
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}
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void __nac3_ndarray_calc_broadcast_idx64(const uint64_t* src_dims,
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uint64_t src_ndims,
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const NDIndex* in_idx,
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NDIndex* out_idx) {
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__nac3_ndarray_calc_broadcast_idx_impl(src_dims, src_ndims, in_idx,
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out_idx);
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}
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} // extern "C"
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