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skip decoding frozen bits when no message bits yet

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Ahmet Inan 2026-01-26 00:47:25 +01:00
commit 40e6a90136
1 changed files with 158 additions and 40 deletions
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198
pac_list_decoder.hh
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@ -11,8 +11,26 @@ Copyright 2025 Ahmet Inan <inan@aicodix.de>
namespace CODE { namespace CODE {
template <typename TYPE, int M>
struct PACListNode
{
typedef PolarHelper<TYPE> PH;
typedef typename PH::PATH PATH;
typedef typename PH::MAP MAP;
static const int N = 1 << M;
static void rate0(PATH *metric, TYPE *hard, TYPE *soft)
{
for (int i = 0; i < N; ++i)
hard[i] = PH::one();
for (int i = 0; i < N; ++i)
for (int k = 0; k < TYPE::SIZE; ++k)
if (soft[i+N].v[k] < 0)
metric[k] -= soft[i+N].v[k];
}
};
template <typename TYPE> template <typename TYPE>
struct PACListLeaf struct PACListNode<TYPE, 0>
{ {
typedef PolarHelper<TYPE> PH; typedef PolarHelper<TYPE> PH;
typedef typename PH::PATH PATH; typedef typename PH::PATH PATH;
@ -107,13 +125,33 @@ struct PACListTree<TYPE, 6>
{ {
for (int i = 0; i < N/2; ++i) for (int i = 0; i < N/2; ++i)
soft[i+N/2] = PH::prod(soft[i+N], soft[i+N/2+N]); soft[i+N/2] = PH::prod(soft[i+N], soft[i+N/2+N]);
MAP lmap = PACListTree<TYPE, M-1>::decode(metric, message, maps, count, state, hard, soft, frozen[0]); MAP map;
for (int i = 0; i < N/2; ++i) bool left_frozen = frozen[0] == 0xffffffff && !*count;
soft[i+N/2] = PH::madd(hard[i], vshuf(soft[i+N], lmap), vshuf(soft[i+N/2+N], lmap)); if (left_frozen) {
MAP rmap = PACListTree<TYPE, M-1>::decode(metric, message, maps, count, state, hard+N/2, soft, frozen[1]); PACListNode<TYPE, M-1>::rate0(metric, hard, soft);
for (int i = 0; i < N/2; ++i) for (int i = 0; i < N/2; ++i)
hard[i] = PH::qmul(vshuf(hard[i], rmap), hard[i+N/2]); soft[i+N/2] = PH::qadd(soft[i+N], soft[i+N/2+N]);
return vshuf(lmap, rmap); } else {
map = PACListTree<TYPE, M-1>::decode(metric, message, maps, count, state, hard, soft, frozen[0]);
for (int i = 0; i < N/2; ++i)
soft[i+N/2] = PH::madd(hard[i], vshuf(soft[i+N], map), vshuf(soft[i+N/2+N], map));
}
bool right_frozen = frozen[1] == 0xffffffff && !*count;
if (right_frozen) {
PACListNode<TYPE, M-1>::rate0(metric, hard+N/2, soft);
if (left_frozen)
for (int k = 0; k < TYPE::SIZE; ++k)
map.v[k] = k;
} else {
MAP rmap = PACListTree<TYPE, M-1>::decode(metric, message, maps, count, state, hard+N/2, soft, frozen[1]);
for (int i = 0; i < N/2; ++i)
hard[i] = PH::qmul(vshuf(hard[i], rmap), hard[i+N/2]);
if (left_frozen)
map = rmap;
else
map = vshuf(map, rmap);
}
return map;
} }
}; };
@ -129,13 +167,33 @@ struct PACListTree<TYPE, 5>
{ {
for (int i = 0; i < N/2; ++i) for (int i = 0; i < N/2; ++i)
soft[i+N/2] = PH::prod(soft[i+N], soft[i+N/2+N]); soft[i+N/2] = PH::prod(soft[i+N], soft[i+N/2+N]);
MAP lmap = PACListTree<TYPE, M-1>::decode(metric, message, maps, count, state, hard, soft, frozen & ((1<<(1<<(M-1)))-1)); MAP map;
for (int i = 0; i < N/2; ++i) bool left_frozen = (frozen & ((1<<(1<<(M-1)))-1)) == ((1<<(1<<(M-1)))-1) && !*count;
soft[i+N/2] = PH::madd(hard[i], vshuf(soft[i+N], lmap), vshuf(soft[i+N/2+N], lmap)); if (left_frozen) {
MAP rmap = PACListTree<TYPE, M-1>::decode(metric, message, maps, count, state, hard+N/2, soft, frozen >> (N/2)); PACListNode<TYPE, M-1>::rate0(metric, hard, soft);
for (int i = 0; i < N/2; ++i) for (int i = 0; i < N/2; ++i)
hard[i] = PH::qmul(vshuf(hard[i], rmap), hard[i+N/2]); soft[i+N/2] = PH::qadd(soft[i+N], soft[i+N/2+N]);
return vshuf(lmap, rmap); } else {
map = PACListTree<TYPE, M-1>::decode(metric, message, maps, count, state, hard, soft, frozen & ((1<<(1<<(M-1)))-1));
for (int i = 0; i < N/2; ++i)
soft[i+N/2] = PH::madd(hard[i], vshuf(soft[i+N], map), vshuf(soft[i+N/2+N], map));
}
bool right_frozen = frozen >> (N/2) == ((1<<(1<<(M-1)))-1) && !*count;
if (right_frozen) {
PACListNode<TYPE, M-1>::rate0(metric, hard+N/2, soft);
if (left_frozen)
for (int k = 0; k < TYPE::SIZE; ++k)
map.v[k] = k;
} else {
MAP rmap = PACListTree<TYPE, M-1>::decode(metric, message, maps, count, state, hard+N/2, soft, frozen >> (N/2));
for (int i = 0; i < N/2; ++i)
hard[i] = PH::qmul(vshuf(hard[i], rmap), hard[i+N/2]);
if (left_frozen)
map = rmap;
else
map = vshuf(map, rmap);
}
return map;
} }
}; };
@ -151,13 +209,33 @@ struct PACListTree<TYPE, 4>
{ {
for (int i = 0; i < N/2; ++i) for (int i = 0; i < N/2; ++i)
soft[i+N/2] = PH::prod(soft[i+N], soft[i+N/2+N]); soft[i+N/2] = PH::prod(soft[i+N], soft[i+N/2+N]);
MAP lmap = PACListTree<TYPE, M-1>::decode(metric, message, maps, count, state, hard, soft, frozen & ((1<<(1<<(M-1)))-1)); MAP map;
for (int i = 0; i < N/2; ++i) bool left_frozen = (frozen & ((1<<(1<<(M-1)))-1)) == ((1<<(1<<(M-1)))-1) && !*count;
soft[i+N/2] = PH::madd(hard[i], vshuf(soft[i+N], lmap), vshuf(soft[i+N/2+N], lmap)); if (left_frozen) {
MAP rmap = PACListTree<TYPE, M-1>::decode(metric, message, maps, count, state, hard+N/2, soft, frozen >> (N/2)); PACListNode<TYPE, M-1>::rate0(metric, hard, soft);
for (int i = 0; i < N/2; ++i) for (int i = 0; i < N/2; ++i)
hard[i] = PH::qmul(vshuf(hard[i], rmap), hard[i+N/2]); soft[i+N/2] = PH::qadd(soft[i+N], soft[i+N/2+N]);
return vshuf(lmap, rmap); } else {
map = PACListTree<TYPE, M-1>::decode(metric, message, maps, count, state, hard, soft, frozen & ((1<<(1<<(M-1)))-1));
for (int i = 0; i < N/2; ++i)
soft[i+N/2] = PH::madd(hard[i], vshuf(soft[i+N], map), vshuf(soft[i+N/2+N], map));
}
bool right_frozen = frozen >> (N/2) == ((1<<(1<<(M-1)))-1) && !*count;
if (right_frozen) {
PACListNode<TYPE, M-1>::rate0(metric, hard+N/2, soft);
if (left_frozen)
for (int k = 0; k < TYPE::SIZE; ++k)
map.v[k] = k;
} else {
MAP rmap = PACListTree<TYPE, M-1>::decode(metric, message, maps, count, state, hard+N/2, soft, frozen >> (N/2));
for (int i = 0; i < N/2; ++i)
hard[i] = PH::qmul(vshuf(hard[i], rmap), hard[i+N/2]);
if (left_frozen)
map = rmap;
else
map = vshuf(map, rmap);
}
return map;
} }
}; };
@ -173,13 +251,33 @@ struct PACListTree<TYPE, 3>
{ {
for (int i = 0; i < N/2; ++i) for (int i = 0; i < N/2; ++i)
soft[i+N/2] = PH::prod(soft[i+N], soft[i+N/2+N]); soft[i+N/2] = PH::prod(soft[i+N], soft[i+N/2+N]);
MAP lmap = PACListTree<TYPE, M-1>::decode(metric, message, maps, count, state, hard, soft, frozen & ((1<<(1<<(M-1)))-1)); MAP map;
for (int i = 0; i < N/2; ++i) bool left_frozen = (frozen & ((1<<(1<<(M-1)))-1)) == ((1<<(1<<(M-1)))-1) && !*count;
soft[i+N/2] = PH::madd(hard[i], vshuf(soft[i+N], lmap), vshuf(soft[i+N/2+N], lmap)); if (left_frozen) {
MAP rmap = PACListTree<TYPE, M-1>::decode(metric, message, maps, count, state, hard+N/2, soft, frozen >> (N/2)); PACListNode<TYPE, M-1>::rate0(metric, hard, soft);
for (int i = 0; i < N/2; ++i) for (int i = 0; i < N/2; ++i)
hard[i] = PH::qmul(vshuf(hard[i], rmap), hard[i+N/2]); soft[i+N/2] = PH::qadd(soft[i+N], soft[i+N/2+N]);
return vshuf(lmap, rmap); } else {
map = PACListTree<TYPE, M-1>::decode(metric, message, maps, count, state, hard, soft, frozen & ((1<<(1<<(M-1)))-1));
for (int i = 0; i < N/2; ++i)
soft[i+N/2] = PH::madd(hard[i], vshuf(soft[i+N], map), vshuf(soft[i+N/2+N], map));
}
bool right_frozen = frozen >> (N/2) == ((1<<(1<<(M-1)))-1) && !*count;
if (right_frozen) {
PACListNode<TYPE, M-1>::rate0(metric, hard+N/2, soft);
if (left_frozen)
for (int k = 0; k < TYPE::SIZE; ++k)
map.v[k] = k;
} else {
MAP rmap = PACListTree<TYPE, M-1>::decode(metric, message, maps, count, state, hard+N/2, soft, frozen >> (N/2));
for (int i = 0; i < N/2; ++i)
hard[i] = PH::qmul(vshuf(hard[i], rmap), hard[i+N/2]);
if (left_frozen)
map = rmap;
else
map = vshuf(map, rmap);
}
return map;
} }
}; };
@ -195,13 +293,33 @@ struct PACListTree<TYPE, 2>
{ {
for (int i = 0; i < N/2; ++i) for (int i = 0; i < N/2; ++i)
soft[i+N/2] = PH::prod(soft[i+N], soft[i+N/2+N]); soft[i+N/2] = PH::prod(soft[i+N], soft[i+N/2+N]);
MAP lmap = PACListTree<TYPE, M-1>::decode(metric, message, maps, count, state, hard, soft, frozen & ((1<<(1<<(M-1)))-1)); MAP map;
for (int i = 0; i < N/2; ++i) bool left_frozen = (frozen & ((1<<(1<<(M-1)))-1)) == ((1<<(1<<(M-1)))-1) && !*count;
soft[i+N/2] = PH::madd(hard[i], vshuf(soft[i+N], lmap), vshuf(soft[i+N/2+N], lmap)); if (left_frozen) {
MAP rmap = PACListTree<TYPE, M-1>::decode(metric, message, maps, count, state, hard+N/2, soft, frozen >> (N/2)); PACListNode<TYPE, M-1>::rate0(metric, hard, soft);
for (int i = 0; i < N/2; ++i) for (int i = 0; i < N/2; ++i)
hard[i] = PH::qmul(vshuf(hard[i], rmap), hard[i+N/2]); soft[i+N/2] = PH::qadd(soft[i+N], soft[i+N/2+N]);
return vshuf(lmap, rmap); } else {
map = PACListTree<TYPE, M-1>::decode(metric, message, maps, count, state, hard, soft, frozen & ((1<<(1<<(M-1)))-1));
for (int i = 0; i < N/2; ++i)
soft[i+N/2] = PH::madd(hard[i], vshuf(soft[i+N], map), vshuf(soft[i+N/2+N], map));
}
bool right_frozen = frozen >> (N/2) == ((1<<(1<<(M-1)))-1) && !*count;
if (right_frozen) {
PACListNode<TYPE, M-1>::rate0(metric, hard+N/2, soft);
if (left_frozen)
for (int k = 0; k < TYPE::SIZE; ++k)
map.v[k] = k;
} else {
MAP rmap = PACListTree<TYPE, M-1>::decode(metric, message, maps, count, state, hard+N/2, soft, frozen >> (N/2));
for (int i = 0; i < N/2; ++i)
hard[i] = PH::qmul(vshuf(hard[i], rmap), hard[i+N/2]);
if (left_frozen)
map = rmap;
else
map = vshuf(map, rmap);
}
return map;
} }
}; };
@ -217,21 +335,21 @@ struct PACListTree<TYPE, 1>
MAP map; MAP map;
bool left_frozen = frozen & 1; bool left_frozen = frozen & 1;
if (left_frozen) { if (left_frozen) {
PACListLeaf<TYPE>::rate0(metric, state, hard, soft); PACListNode<TYPE, 0>::rate0(metric, state, hard, soft);
soft[1] = PH::madd(hard[0], soft[2], soft[3]); soft[1] = PH::madd(hard[0], soft[2], soft[3]);
} else { } else {
map = PACListLeaf<TYPE>::rate1(metric, message, maps, count, state, hard, soft); map = PACListNode<TYPE, 0>::rate1(metric, message, maps, count, state, hard, soft);
soft[1] = PH::madd(hard[0], vshuf(soft[2], map), vshuf(soft[3], map)); soft[1] = PH::madd(hard[0], vshuf(soft[2], map), vshuf(soft[3], map));
} }
bool right_frozen = frozen >> 1; bool right_frozen = frozen >> 1;
if (right_frozen) { if (right_frozen) {
PACListLeaf<TYPE>::rate0(metric, state, hard+1, soft); PACListNode<TYPE, 0>::rate0(metric, state, hard+1, soft);
hard[0] = PH::qmul(hard[0], hard[1]); hard[0] = PH::qmul(hard[0], hard[1]);
if (left_frozen) if (left_frozen)
for (int k = 0; k < TYPE::SIZE; ++k) for (int k = 0; k < TYPE::SIZE; ++k)
map.v[k] = k; map.v[k] = k;
} else { } else {
MAP rmap = PACListLeaf<TYPE>::rate1(metric, message, maps, count, state, hard+1, soft); MAP rmap = PACListNode<TYPE, 0>::rate1(metric, message, maps, count, state, hard+1, soft);
hard[0] = PH::qmul(vshuf(hard[0], rmap), hard[1]); hard[0] = PH::qmul(vshuf(hard[0], rmap), hard[1]);
if (left_frozen) if (left_frozen)
map = rmap; map = rmap;