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authorClaire Wolf <claire@symbioticeda.com>2020-03-17 14:15:08 +0100
committerClaire Wolf <claire@symbioticeda.com>2020-04-02 11:37:12 +0200
commitf72b65b2a54be664f4ce95e0a8bdc68d09562bf1 (patch)
tree68d2bca188d425e6ae881092a50b7ff4c8306598 /libs
parentc90324662ce23e3444d6a7450153d8a4c3946b9a (diff)
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Using LFSR counter for ezSAT::manyhot()
The only user of this API right now is the puzzle3d benchmark and it sees a slight reduction in CNF size from this, but the performance difference is within the noise of measurement on my system. Signed-off-by: Claire Wolf <claire@symbioticeda.com>
Diffstat (limited to 'libs')
-rw-r--r--libs/ezsat/ezsat.cc118
1 files changed, 118 insertions, 0 deletions
diff --git a/libs/ezsat/ezsat.cc b/libs/ezsat/ezsat.cc
index 177bcd8a3..47fdb8efe 100644
--- a/libs/ezsat/ezsat.cc
+++ b/libs/ezsat/ezsat.cc
@@ -1389,6 +1389,7 @@ int ezSAT::onehot(const std::vector<int> &vec, bool max_only)
return expression(OpAnd, formula);
}
+#if 0
int ezSAT::manyhot(const std::vector<int> &vec, int min_hot, int max_hot)
{
// many-hot encoding using a simple sorting network
@@ -1426,6 +1427,123 @@ int ezSAT::manyhot(const std::vector<int> &vec, int min_hot, int max_hot)
return expression(OpAnd, formula);
}
+#else
+static std::vector<int> lfsr_sym(ezSAT *that, const std::vector<int> &vec, int poly)
+{
+ std::vector<int> out;
+
+ for (int i = 0; i < int(vec.size()); i++)
+ if ((poly & (1 << (i+1))) != 0) {
+ if (out.empty())
+ out.push_back(vec.at(i));
+ else
+ out.at(0) = that->XOR(out.at(0), vec.at(i));
+ }
+
+ for (int i = 0; i+1 < int(vec.size()); i++)
+ out.push_back(vec.at(i));
+
+ return out;
+}
+
+static int lfsr_num(int vec, int poly, int cnt = 1)
+{
+ int mask = poly >> 1;
+ mask |= mask >> 1;
+ mask |= mask >> 2;
+ mask |= mask >> 4;
+ mask |= mask >> 8;
+ mask |= mask >> 16;
+
+ while (cnt-- > 0) {
+ int bits = vec & (poly >> 1);
+ bits = ((bits & 0xAAAAAAAA) >> 1) ^ (bits & 0x55555555);
+ bits = ((bits & 0x44444444) >> 2) ^ (bits & 0x11111111);
+ bits = ((bits & 0x10101010) >> 4) ^ (bits & 0x01010101);
+ bits = ((bits & 0x01000100) >> 8) ^ (bits & 0x00010001);
+ bits = ((bits & 0x00010000) >> 16) ^ (bits & 0x00000001);
+ vec = ((vec << 1) | bits) & mask;
+ }
+
+ return vec;
+}
+
+int ezSAT::manyhot(const std::vector<int> &vec, int min_hot, int max_hot)
+{
+ // many-hot encoding using LFSR as counter
+
+ int poly = 0;
+ int nbits = 0;
+
+ if (vec.size() < 3) {
+ poly = (1 << 2) | (1 << 1) | 1;
+ nbits = 2;
+ } else
+ if (vec.size() < 7) {
+ poly = (1 << 3) | (1 << 2) | 1;
+ nbits = 3;
+ } else
+ if (vec.size() < 15) {
+ poly = (1 << 4) | (1 << 3) | 1;
+ nbits = 4;
+ } else
+ if (vec.size() < 31) {
+ poly = (1 << 5) | (1 << 3) | 1;
+ nbits = 5;
+ } else
+ if (vec.size() < 63) {
+ poly = (1 << 6) | (1 << 5) | 1;
+ nbits = 6;
+ } else
+ if (vec.size() < 127) {
+ poly = (1 << 7) | (1 << 6) | 1;
+ nbits = 7;
+ } else
+ // if (vec.size() < 255) {
+ // poly = (1 << 8) | (1 << 6) | (1 << 5) | (1 << 4) | 1;
+ // nbits = 8;
+ // } else
+ if (vec.size() < 511) {
+ poly = (1 << 9) | (1 << 5) | 1;
+ nbits = 9;
+ } else {
+ assert(0);
+ }
+
+ std::vector<int> min_val;
+ std::vector<int> max_val;
+
+ if (min_hot > 1)
+ min_val = vec_const_unsigned(lfsr_num(1, poly, min_hot), nbits);
+
+ if (max_hot >= 0)
+ max_val = vec_const_unsigned(lfsr_num(1, poly, max_hot+1), nbits);
+
+ std::vector<int> state = vec_const_unsigned(1, nbits);
+
+ std::vector<int> match_min;
+ std::vector<int> match_max;
+
+ if (min_hot == 1)
+ match_min = vec;
+
+ for (int i = 0; i < int(vec.size()); i++)
+ {
+ state = vec_ite(vec[i], lfsr_sym(this, state, poly), state);
+
+ if (!min_val.empty() && i+1 >= min_hot)
+ match_min.push_back(vec_eq(min_val, state));
+
+ if (!max_val.empty() && i >= max_hot)
+ match_max.push_back(vec_eq(max_val, state));
+ }
+
+ int min_matched = min_hot ? vec_reduce_or(match_min) : CONST_TRUE;
+ int max_matched = vec_reduce_or(match_max);
+
+ return AND(min_matched, NOT(max_matched));
+}
+#endif
int ezSAT::ordered(const std::vector<int> &vec1, const std::vector<int> &vec2, bool allow_equal)
{