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-rw-r--r--hungarian.c80
1 files changed, 42 insertions, 38 deletions
diff --git a/hungarian.c b/hungarian.c
index 90f9f64..f0bb446 100644
--- a/hungarian.c
+++ b/hungarian.c
@@ -93,22 +93,22 @@ typedef struct
* The set of all limbs, a limb consist of 64 bits
*/
cell* limbs;
-
+
/**
* Singleton array with the index of the first non-zero limb
*/
long* first;
-
+
/**
- * Array the the index of the previous non-zero limb for echo limb
+ * Array the the index of the previous non-zero limb for each limb
*/
long* prev;
-
+
/**
- * Array the the index of the next non-zero limb for echo limb
+ * Array the the index of the next non-zero limb for each limb
*/
long* next;
-
+
} BitSet;
@@ -139,8 +139,8 @@ int main(int argc, char** argv)
asm("cpuid");
asm volatile("rdtsc" : "=a" (a), "=d" (d));
srand(((llong)a) | (((llong)d) << 32LL));
-
-
+
+
long n = 10, m = 15;
long i;
@@ -174,8 +174,6 @@ int main(int argc, char** argv)
}
}
- //kuhn_match(table, n, m);
-
printf("\nInput:\n\n");
print(t, n, m, null);
@@ -187,14 +185,14 @@ int main(int argc, char** argv)
for (i = 0; i < n; i++)
sum += *(*(t + *(*(assignment + i) + 0)) + *(*(assignment + i) + 1));
printf("\n\nSum: %li\n\n", sum);
-
+
return 0;
}
void print(cell** t, long n, long m, long** assignment)
{
long i, j;
-
+
long** assigned = new_arrays(n);
for (i = 0; i < n; i++)
{
@@ -205,7 +203,7 @@ void print(cell** t, long n, long m, long** assignment)
if (assignment != null)
for (i = 0; i < n; i++)
(*(*(assigned + **(assignment + i)) + *(*(assignment + i) + 1)))++;
-
+
for (i = 0; i < n; i++)
{
printf(" ");
@@ -224,11 +222,11 @@ void print(cell** t, long n, long m, long** assignment)
/**
* Calculates an optimal bipartite minimum weight matching using an
* O(n³)-time implementation of The Hungarian Algorithm, also known
- * as Kuhn's Algorithm. This implemention is restricted to square
- * tables.
+ * as Kuhn's Algorithm.
*
* @param table The table in which to perform the matching
- * @param n The dimension of the table
+ * @param n The height of the table
+ * @param h The width of the table
* @return The optimal assignment, an array of row–coloumn pairs
*/
long** kuhn_match(cell** table, long n, long m)
@@ -239,7 +237,7 @@ long** kuhn_match(cell** table, long n, long m)
kuhn_reduceRows(table, n, m);
byte** marks = kuhn_mark(table, n, m);
-
+
boolean* rowCovered = new_booleans(n);
boolean* colCovered = new_booleans(m);
for (i = 0; i < n; i++)
@@ -249,13 +247,13 @@ long** kuhn_match(cell** table, long n, long m)
}
for (i = n; i < m; i++)
*(colCovered + i) = false;
-
+
long* altRow = new_longs(n * m);
long* altCol = new_longs(n * m);
long* rowPrimes = new_longs(n);
long* colMarks = new_longs(m);
-
+
long* prime;
for (;;)
@@ -307,7 +305,7 @@ void kuhn_reduceRows(cell** t, long n, long m)
for (j = 1; j < m; j++)
if (min > *(ti + j))
min = *(ti + j);
-
+
for (j = 0; j < m; j++)
*(ti + j) -= min;
}
@@ -335,7 +333,7 @@ byte** kuhn_mark(cell** t, long n, long m)
for (j = 0; j < m; j++)
*(marksi + j) = UNMARKED;
}
-
+
boolean* rowCovered = new_booleans(n);
boolean* colCovered = new_booleans(m);
for (i = 0; i < n; i++)
@@ -384,7 +382,7 @@ boolean kuhn_isDone(byte** marks, boolean* colCovered, long n, long m)
for (j = 0; j < m; j++)
if (*(colCovered + j))
count++;
-
+
return count == n;
}
@@ -403,7 +401,7 @@ boolean kuhn_isDone(byte** marks, boolean* colCovered, long n, long m)
long* kuhn_findPrime(cell** t, byte** marks, boolean* rowCovered, boolean* colCovered, long n, long m)
{
long i, j;
- BitSet zeroes = new_BitSet(n * n);
+ BitSet zeroes = new_BitSet(n * m);
for (i = 0; i < n; i++)
if (!*(rowCovered + i))
@@ -418,8 +416,14 @@ long* kuhn_findPrime(cell** t, byte** marks, boolean* rowCovered, boolean* colCo
{
p = BitSet_any(zeroes);
if (p < 0)
+ {
+ free(zeroes.limbs);
+ free(zeroes.first);
+ free(zeroes.next);
+ free(zeroes.prev);
return null;
-
+ }
+
row = p / m;
col = p % m;
@@ -432,12 +436,12 @@ long* kuhn_findPrime(cell** t, byte** marks, boolean* rowCovered, boolean* colCo
markInRow = true;
col = j;
}
-
+
if (markInRow)
{
*(rowCovered + row) = true;
*(colCovered + col) = false;
-
+
for (i = 0; i < n; i++)
if ((*(*(t + i) + col) == 0) && (row != i))
{
@@ -446,7 +450,7 @@ long* kuhn_findPrime(cell** t, byte** marks, boolean* rowCovered, boolean* colCo
else
BitSet_unset(zeroes, i * m + col);
}
-
+
for (j = 0; j < m; j++)
if ((*(*(t + row) + j) == 0) && (col != j))
{
@@ -455,7 +459,7 @@ long* kuhn_findPrime(cell** t, byte** marks, boolean* rowCovered, boolean* colCo
else
BitSet_unset(zeroes, row * m + j);
}
-
+
if ((!*(rowCovered + row)) && (!*(colCovered + col)))
BitSet_set(zeroes, row * m + col);
else
@@ -497,7 +501,7 @@ void kuhn_altMarks(byte** marks, long* altRow, long* altCol, long* colMarks, lon
}
for (i = n; i < m; i++)
*(colMarks + i) = -1;
-
+
for (i = 0; i < n; i++)
for (j = 0; j < m; j++)
if (*(*(marks + i) + j) == MARKED)
@@ -522,7 +526,7 @@ void kuhn_altMarks(byte** marks, long* altRow, long* altCol, long* colMarks, lon
*(altRow + index) = *(altRow + index - 1);
*(altCol + index) = col;
}
-
+
byte* markx;
for (i = 0; i <= index; i++)
{
@@ -587,7 +591,7 @@ void kuhn_addAndSubtract(cell** t, boolean* rowCovered, boolean* colCovered, lon
long** kuhn_assign(byte** marks, long n, long m)
{
long** assignment = new_arrays(n);
-
+
long i, j;
for (i = 0; i < n; i++)
{
@@ -599,7 +603,7 @@ long** kuhn_assign(byte** marks, long n, long m)
*(*(assignment + i) + 1) = j;
}
}
-
+
return assignment;
}
@@ -644,9 +648,9 @@ void BitSet_set(BitSet this, long i)
{
long j = i >> 6L;
llong old = *(this.limbs + j);
-
+
*(this.limbs + j) |= 1LL << (llong)(i & 63L);
-
+
if ((!*(this.limbs + j)) ^ (!old))
{
j++;
@@ -669,7 +673,7 @@ void BitSet_unset(BitSet this, long i)
llong old = *(this.limbs + j);
*(this.limbs + j) &= ~(1LL << (llong)(i & 63L));
-
+
if ((!*(this.limbs + j)) ^ (!old))
{
j++;
@@ -678,7 +682,7 @@ void BitSet_unset(BitSet this, long i)
*(this.prev + n) = p;
*(this.next + p) = n;
if (*(this.first) == j)
- *(this.first) = *(this.next + j);
+ *(this.first) = n;
}
}
@@ -692,7 +696,7 @@ long BitSet_any(BitSet this)
{
if (*(this.first) == 0L)
return -1;
-
+
long i = *(this.first) - 1L;
return lb(*(this.limbs + i) & -*(this.limbs + i)) + (i << 6L);
}
@@ -708,7 +712,7 @@ long lb(llong value)
{
long rc = 0L;
llong v = value;
-
+
if (v & 0xFFFFFFFF00000000LL) { rc |= 32L; v >>= 32LL; }
if (v & 0x00000000FFFF0000LL) { rc |= 16L; v >>= 16LL; }
if (v & 0x000000000000FF00LL) { rc |= 8L; v >>= 8LL; }