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nac3/nac3core/irrt/irrt.cpp

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