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Diffstat (limited to 'kernel')
-rw-r--r--kernel/indtypes.ml24
-rw-r--r--kernel/uint63_31.ml43
2 files changed, 39 insertions, 28 deletions
diff --git a/kernel/indtypes.ml b/kernel/indtypes.ml
index 750ac86908..ab915e2b8d 100644
--- a/kernel/indtypes.ml
+++ b/kernel/indtypes.ml
@@ -379,17 +379,25 @@ let check_positivity ~chkpos kn names env_ar_par paramsctxt finite inds =
(************************************************************************)
(* Build the inductive packet *)
-let repair_arity indices = function
- | RegularArity ar -> ar.mind_user_arity
- | TemplateArity ar -> mkArity (indices,Sorts.sort_of_univ ar.template_level)
+let fold_arity f acc params arity indices = match arity with
+ | RegularArity ar -> f acc ar.mind_user_arity
+ | TemplateArity _ ->
+ let fold_ctx acc ctx =
+ List.fold_left (fun acc d ->
+ Context.Rel.Declaration.fold_constr (fun c acc -> f acc c) d acc)
+ acc
+ ctx
+ in
+ fold_ctx (fold_ctx acc params) indices
-let fold_inductive_blocks f =
+let fold_inductive_blocks f acc params inds =
Array.fold_left (fun acc ((arity,lc),(indices,_),_) ->
- f (Array.fold_left f acc lc) (repair_arity indices arity))
+ fold_arity f (Array.fold_left f acc lc) params arity indices)
+ acc inds
-let used_section_variables env inds =
+let used_section_variables env params inds =
let fold l c = Id.Set.union (Environ.global_vars_set env c) l in
- let ids = fold_inductive_blocks fold Id.Set.empty inds in
+ let ids = fold_inductive_blocks fold Id.Set.empty params inds in
keep_hyps env ids
let rel_vect n m = Array.init m (fun i -> mkRel(n+m-i))
@@ -461,7 +469,7 @@ let compute_projections (kn, i as ind) mib =
let build_inductive env names prv univs variance paramsctxt kn isrecord isfinite inds nmr recargs =
let ntypes = Array.length inds in
(* Compute the set of used section variables *)
- let hyps = used_section_variables env inds in
+ let hyps = used_section_variables env paramsctxt inds in
let nparamargs = Context.Rel.nhyps paramsctxt in
(* Check one inductive *)
let build_one_packet (id,cnames) ((arity,lc),(indices,splayed_lc),kelim) recarg =
diff --git a/kernel/uint63_31.ml b/kernel/uint63_31.ml
index e38389ca13..445166f6af 100644
--- a/kernel/uint63_31.ml
+++ b/kernel/uint63_31.ml
@@ -15,8 +15,8 @@ let _ = assert (Sys.word_size = 32)
let uint_size = 63
-let maxuint63 = Int64.of_string "0x7FFFFFFFFFFFFFFF"
-let maxuint31 = Int64.of_string "0x7FFFFFFF"
+let maxuint63 = 0x7FFF_FFFF_FFFF_FFFFL
+let maxuint31 = 0x7FFF_FFFFL
let zero = Int64.zero
let one = Int64.one
@@ -118,27 +118,30 @@ let div21 xh xl y =
let div21 xh xl y =
if Int64.compare y xh <= 0 then zero, zero else div21 xh xl y
- (* exact multiplication *)
+(* exact multiplication *)
let mulc x y =
- let lx = ref (Int64.logand x maxuint31) in
- let ly = ref (Int64.logand y maxuint31) in
+ let lx = Int64.logand x maxuint31 in
+ let ly = Int64.logand y maxuint31 in
let hx = Int64.shift_right x 31 in
let hy = Int64.shift_right y 31 in
- let hr = ref (Int64.mul hx hy) in
- let lr = ref (Int64.logor (Int64.mul !lx !ly) (Int64.shift_left !hr 62)) in
- hr := (Int64.shift_right_logical !hr 1);
- lx := Int64.mul !lx hy;
- ly := Int64.mul hx !ly;
- hr := Int64.logor !hr (Int64.add (Int64.shift_right !lx 32) (Int64.shift_right !ly 32));
- lr := Int64.add !lr (Int64.shift_left !lx 31);
- hr := Int64.add !hr (Int64.shift_right_logical !lr 63);
- lr := Int64.add (Int64.shift_left !ly 31) (mask63 !lr);
- hr := Int64.add !hr (Int64.shift_right_logical !lr 63);
- if Int64.logand !lr Int64.min_int <> 0L
- then Int64.(sub !hr one, mask63 !lr)
- else (!hr, !lr)
-
-let equal x y = mask63 x = mask63 y
+ (* compute the median products *)
+ let s = Int64.add (Int64.mul lx hy) (Int64.mul hx ly) in
+ (* s fits on 64 bits, split it into a 33-bit high part and a 31-bit low part *)
+ let lr = Int64.shift_left (Int64.logand s maxuint31) 31 in
+ let hr = Int64.shift_right_logical s 31 in
+ (* add the outer products *)
+ let lr = Int64.add (Int64.mul lx ly) lr in
+ let hr = Int64.add (Int64.mul hx hy) hr in
+ (* hr fits on 64 bits, since the final result fits on 126 bits *)
+ (* now x * y = hr * 2^62 + lr and lr < 2^63 *)
+ let lr = Int64.add lr (Int64.shift_left (Int64.logand hr 1L) 62) in
+ let hr = Int64.shift_right_logical hr 1 in
+ (* now x * y = hr * 2^63 + lr, but lr might be too large *)
+ if Int64.logand lr Int64.min_int <> 0L
+ then Int64.add hr 1L, mask63 lr
+ else hr, lr
+
+let equal (x : t) y = x = y
let compare x y = Int64.compare x y