package nx
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N-dimensional arrays for OCaml
Install
dune-project
Dependency
Authors
Maintainers
Sources
raven-1.0.0.alpha3.tbz
sha256=96d35ce03dfbebd2313657273e24c2e2d20f9e6c7825b8518b69bd1d6ed5870f
sha512=90c5053731d4108f37c19430e45456063e872b04b8a1bbad064c356e1b18e69222de8bfcf4ec14757e71f18164ec6e4630ba770dbcb1291665de5418827d1465
doc/src/nx.core/view.ml.html
Source file view.ml
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All rights reserved. SPDX-License-Identifier: ISC ---------------------------------------------------------------------------*) (* Lightweight view of tensor layout and helpers for reshaping. *) let err op fmt = Printf.ksprintf (fun msg -> invalid_arg (op ^ ": " ^ msg)) fmt type layout = C_contiguous | Strided type t = { shape : int array; strides : int array; offset : int; mask : (int * int) array option; layout : layout; } (* ───── Helpers ───── *) let prod arr = Array.fold_left ( * ) 1 arr (* compute C-contiguous strides for concrete shape *) let compute_strides shape_array = let n = Array.length shape_array in if n = 0 then [||] else let strides = Array.make n 0 in strides.(n - 1) <- (if shape_array.(n - 1) = 0 then 0 else 1); for i = n - 2 downto 0 do strides.(i) <- (if shape_array.(i) = 0 then 0 else strides.(i + 1) * max 1 shape_array.(i + 1)) done; strides (* canonicalize strides - keep original strides, don't force stride 0 for size 1 *) let canonicalize_strides _shape_array strides = strides (* Check if strides represent a contiguous layout *) let is_c_contiguous_strides shape_arr strides mask = mask = None && let expected = compute_strides shape_arr in let expected_canonical = canonicalize_strides shape_arr expected in Array.length strides = Array.length expected_canonical && Array.for_all2 ( = ) strides expected_canonical (* ───── Accessors ───── *) let shape v = v.shape let strides v = v.strides let stride axis v = let ndim = Array.length v.shape in if axis < 0 || axis >= ndim then err "stride" "axis %d out of bounds for %dD tensor" axis ndim; Array.unsafe_get v.strides axis let offset v = v.offset let mask v = v.mask let is_c_contiguous v = v.layout = C_contiguous let dim axis v = let ndim = Array.length v.shape in if axis < 0 || axis >= ndim then err "dim" "axis %d out of bounds for %dD tensor" axis ndim; v.shape.(axis) let ndim v = Array.length v.shape let numel v = prod v.shape (* ───── View Creation ───── *) let create ?(offset = 0) ?strides ?mask shape = let is_zero_size = Array.exists (( = ) 0) shape in let current_shape = if is_zero_size then Array.map (fun s -> max s 0) shape else shape in let current_strides = match strides with | Some s -> canonicalize_strides current_shape s | None -> compute_strides current_shape in let current_offset = if is_zero_size then 0 else offset in let current_mask = if is_zero_size then None else match mask with | Some m when Array.for_all2 (fun (b, e) s -> b = 0 && e = s) m current_shape -> None | _ -> mask in let new_layout = if is_c_contiguous_strides current_shape current_strides current_mask then C_contiguous else Strided in { shape = current_shape; strides = current_strides; offset = current_offset; mask = current_mask; layout = new_layout; } (* ───── Offset & Validation ───── *) let linear_index view indices = let ndim = Array.length view.shape in if Array.length indices <> ndim then err "linear_index" "rank mismatch: indices[%d] vs ndim %d" (Array.length indices) ndim; let physical_offset = ref view.offset in Array.iteri (fun i idx -> physical_offset := !physical_offset + (idx * view.strides.(i))) indices; !physical_offset let is_valid view indices = match view.mask with | None -> true | Some mask_array -> if Array.length indices <> Array.length mask_array then false else Array.for_all2 (fun idx (b, e) -> idx >= b && idx < e) indices mask_array (* ───── View Manipulation ───── *) let expand view new_shape = let old_ndim = Array.length view.shape in let new_ndim = Array.length new_shape in (* Allow expanding a scalar to any shape *) if old_ndim = 0 then let strides = Array.make new_ndim 0 in { view with shape = new_shape; strides } else if new_ndim <> old_ndim then err "expand" "rank mismatch: %d vs %d" new_ndim old_ndim else let old_arr = view.shape in let new_arr = new_shape in if Array.exists (( = ) 0) old_arr then create new_shape else let strides = Array.mapi (fun i ns -> let s = old_arr.(i) in if s = ns then view.strides.(i) else if s = 1 then 0 else err "expand" "dimension %d (size %d) cannot expand to size %d, only \ singletons expand" i s ns) new_arr in let mask = match view.mask with | None -> None | Some m -> Some (Array.mapi (fun i (b, e) -> if old_arr.(i) = 1 && new_arr.(i) <> 1 then if b = 0 && e = 1 then (0, new_arr.(i)) else err "expand" "masked singleton bounds [%d,%d] incompatible with \ expansion" b e else (b, e)) m) in create ~offset:view.offset ?mask ~strides new_shape let permute view axes = let n = ndim view in if Array.length axes <> n then err "permute" "axes length %d != ndim %d" (Array.length axes) n; (* Validate permutation *) let seen = Array.make n false in Array.iter (fun ax -> if ax < 0 || ax >= n then err "permute" "axis %d out of bounds for %dD tensor" ax n; if seen.(ax) then err "permute" "duplicate axis %d" ax; seen.(ax) <- true) axes; let new_shape = Array.init n (fun i -> view.shape.(axes.(i))) in let new_strides = Array.init n (fun i -> view.strides.(axes.(i))) in let new_mask = Option.map (fun m -> Array.init n (fun i -> m.(axes.(i)))) view.mask in create ~offset:view.offset ?mask:new_mask ~strides:new_strides new_shape let reshape view new_shape = (* Early return if shapes are identical *) if view.shape = new_shape then view else let old_arr = view.shape in let new_arr = new_shape in let old_numel = prod old_arr in let new_numel = prod new_arr in (* Check size compatibility *) if old_numel <> new_numel && old_numel <> 0 && new_numel <> 0 then err "reshape" "cannot reshape %s to %s" (Shape.to_string old_arr) (Shape.to_string new_arr) else if Array.exists (( = ) 0) old_arr || Array.exists (( = ) 0) new_arr then create ~offset:0 new_shape (* Check for masks - these complicate reshape *) else if view.mask <> None then invalid_arg "reshape: cannot reshape views with masks, call contiguous() first" (* Fast path for C-contiguous views *) else if view.layout = C_contiguous then create ~offset:view.offset new_shape else if (* Special case: reshaping to/from scalar *) Array.length new_shape = 0 then create ~offset:view.offset new_shape (* Special case: all strides are 0 (broadcast from scalar) *) else if Array.for_all (( = ) 0) view.strides then let new_strides = Array.make (Array.length new_shape) 0 in create ~offset:view.offset ~strides:new_strides new_shape (* Special case: only expanding/squeezing size-1 dimensions *) else let try_squeeze_unsqueeze () = let old_non_one = Array.to_list old_arr |> List.filter (( <> ) 1) in let new_non_one = Array.to_list new_arr |> List.filter (( <> ) 1) in if old_non_one = new_non_one then let old_idx = ref 0 in let new_strides = Array.map (fun dim -> if dim = 1 then 0 else ( while !old_idx < Array.length old_arr && old_arr.(!old_idx) = 1 do incr old_idx done; let stride = view.strides.(!old_idx) in incr old_idx; stride)) new_arr in Some new_strides else None in let try_merge_split () = let old_dims = ref [] in let new_dims = ref [] in for i = 0 to Array.length old_arr - 1 do if old_arr.(i) > 1 then old_dims := (old_arr.(i), view.strides.(i)) :: !old_dims done; old_dims := List.rev !old_dims; for i = 0 to Array.length new_arr - 1 do if new_arr.(i) > 1 then new_dims := new_arr.(i) :: !new_dims done; new_dims := List.rev !new_dims; let rec match_dims old_dims new_dims = match (old_dims, new_dims) with | [], [] -> Some [] | [], _ | _, [] -> None | (old_size, old_stride) :: old_rest, new_size :: new_rest -> if old_size = new_size then match match_dims old_rest new_rest with | Some rest_strides -> Some ((new_size, old_stride) :: rest_strides) | None -> None else if old_size > new_size && old_size mod new_size = 0 then let remaining_size = old_size / new_size in let first_stride = old_stride * remaining_size in let remaining_dims = (remaining_size, old_stride) :: old_rest in match match_dims remaining_dims new_rest with | Some rest_strides -> Some ((new_size, first_stride) :: rest_strides) | None -> None else if new_size > old_size then let rec collect_merge size stride dims needed = if size = needed then Some (dims, stride) else if size > needed then None else match dims with | [] -> None | (next_size, next_stride) :: rest -> if stride = next_stride * next_size then collect_merge (size * next_size) next_stride rest needed else None in match collect_merge old_size old_stride old_rest new_size with | Some (remaining, first_stride) -> ( match match_dims remaining new_rest with | Some rest_strides -> Some ((new_size, first_stride) :: rest_strides) | None -> None) | None -> None else None in match match_dims !old_dims !new_dims with | None -> None | Some stride_map -> let stride_map_arr = Array.of_list stride_map in let new_strides = Array.make (Array.length new_arr) 0 in let map_idx = ref 0 in for i = 0 to Array.length new_arr - 1 do if new_arr.(i) = 1 then new_strides.(i) <- 0 else let _, stride = stride_map_arr.(!map_idx) in new_strides.(i) <- stride; incr map_idx done; Some new_strides in (* Try reshape strategies in order *) match try_squeeze_unsqueeze () with | Some new_strides -> create ~offset:view.offset ~strides:new_strides new_shape | None -> ( match try_merge_split () with | Some new_strides -> create ~offset:view.offset ~strides:new_strides new_shape | None -> let expected_strides = compute_strides new_arr in let stride_str = "[" ^ String.concat "," (Array.to_list (Array.map string_of_int view.strides)) ^ "]" in let expected_str = "[" ^ String.concat "," (Array.to_list (Array.map string_of_int expected_strides)) ^ "]" in err "reshape" "cannot reshape %s to %s, incompatible strides %s (expected \ %s), call contiguous() first" (Shape.to_string old_arr) (Shape.to_string new_arr) stride_str expected_str) (* helper used by [pad] and [shrink] *) let unsafe_resize view arg new_mask_opt = let ndim = Array.length view.shape in if Array.length arg <> ndim then err "unsafe_resize" "argument length %d != ndim %d" (Array.length arg) ndim; let strides = view.strides in let new_shape = Array.map (fun (a, b) -> b - a) arg in let new_offset = ref view.offset in Array.iteri (fun i (a, _) -> new_offset := !new_offset + (a * strides.(i))) arg; let final_mask = let shift_and_combine_mask old_mask_dim_bounds new_mask_dim_bounds offset_for_dim = let old_b, old_e = old_mask_dim_bounds in let new_b, new_e = new_mask_dim_bounds in let shifted_old_b = max 0 (old_b - offset_for_dim) in let shifted_old_e = max 0 (old_e - offset_for_dim) in (max shifted_old_b new_b, min shifted_old_e new_e) in match (view.mask, new_mask_opt) with | None, None -> None | Some old_m, None -> Some (Array.mapi (fun i (old_b, old_e) -> let a, _ = arg.(i) in let new_dim_size = new_shape.(i) in (max 0 (old_b - a), min new_dim_size (old_e - a))) old_m) | None, Some new_m -> Some new_m | Some old_m, Some new_m -> Some (Array.mapi (fun i (old_b_i, old_e_i) -> let new_m_b_i, new_m_e_i = new_m.(i) in let a_i, _ = arg.(i) in shift_and_combine_mask (old_b_i, old_e_i) (new_m_b_i, new_m_e_i) a_i) old_m) in create ~offset:!new_offset ?mask:final_mask ~strides new_shape let pad view arg = let ndim = Array.length view.shape in if Array.length arg <> ndim then err "pad" "padding length %d != ndim %d" (Array.length arg) ndim; if Array.for_all (fun (b, e) -> b = 0 && e = 0) arg then view else if Array.exists (fun (b, e) -> b < 0 || e < 0) arg then invalid_arg "pad: negative padding values, use shrink or slice instead" else let shape_arr = view.shape in let zvarg = Array.mapi (fun i s -> let pad_before, pad_after = arg.(i) in (-pad_before, s + pad_after)) shape_arr in let mask_for_pad = Array.mapi (fun i s_old -> let pad_before, _pad_after = arg.(i) in (pad_before, pad_before + s_old)) shape_arr in unsafe_resize view zvarg (Some mask_for_pad) let shrink view arg = let ndim = Array.length view.shape in if Array.length arg <> ndim then err "shrink" "bounds length %d != ndim %d" (Array.length arg) ndim; let shape_arr = view.shape in if Array.for_all2 (fun (b, e) s -> b = 0 && e = s) arg shape_arr then view else if Array.exists2 (fun (b, e) s -> b < 0 || e < 0 || b > s || e > s || b >= e) arg shape_arr then invalid_arg "shrink: bounds must be within shape and start < end" else unsafe_resize view arg None let flip view flip_axes_bools = let ndim = Array.length view.shape in if Array.length flip_axes_bools <> ndim then err "flip" "boolean array length %d != ndim %d" (Array.length flip_axes_bools) ndim; let shape_arr = view.shape in let strides = view.strides in let new_offset = ref view.offset in let new_strides = Array.copy strides in let new_mask = match view.mask with Some m -> Some (Array.copy m) | None -> None in Array.iteri (fun i do_flip -> if do_flip then let s_i = shape_arr.(i) in if s_i > 0 then ( new_offset := !new_offset + ((s_i - 1) * strides.(i)); new_strides.(i) <- -new_strides.(i); match new_mask with | Some m_arr -> let b, e = m_arr.(i) in m_arr.(i) <- (s_i - e, s_i - b) | None -> ())) flip_axes_bools; create ~offset:!new_offset ?mask:new_mask ~strides:new_strides view.shape let simplify view = (* Only simplify things that don't change the user-visible shape *) (* 1. Canonicalize mask that covers entire dimensions *) let mask = match view.mask with | Some m when Array.for_all2 (fun (b, e) s -> b = 0 && e = s) m view.shape -> None (* Mask covers everything, remove it *) | m -> m in (* Just return with simplified mask if changed *) if mask <> view.mask then let new_layout = if mask = None && is_c_contiguous_strides view.shape view.strides mask then C_contiguous else Strided in { view with mask; layout = new_layout } else view let can_get_strides_simplified simplified = match simplified.mask with | None -> true | Some mask_array -> Array.for_all2 (fun (b, e) s -> b = 0 && e = s) mask_array simplified.shape let can_get_strides view = simplify view |> can_get_strides_simplified let strides_opt view = let simplified = simplify view in if can_get_strides_simplified simplified then Some (strides simplified) else None let is_materializable view = let simplified = simplify view in can_get_strides_simplified simplified
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