getcache

Function: getcache
Section: modular_forms
C-Name: getcache
Prototype:
Help: getcache(): returns information about various auto-growing caches. For
 each resource, we report its name, its size, the number of cache misses
 (since the last extension) and the largest cache miss.
Doc:
 returns information about various auto-growing caches. For
 each resource, we report its name, its size, the number of cache misses
 (since the last extension), the largest cache miss and the size of the cache
 in bytes.

 The caches are initially empty, then set automatically to a small
 inexpensive default value, then grow on demand up to some maximal value.
 Their size never decreases, they are only freed on exit.

 The current caches are

 \item Hurwitz class numbers $H(D)$ for $|D| \leq N$, computed in time
 $O(N^{3/2})$ using $O(N)$ space.

 \item Factorizations of small integers up to $N$, computed in time
 $O(N^{1+\varepsilon})$ using $O(N\log N)$ space.

 \item Divisors of small integers up to $N$, computed in time
 $O(N^{1+\varepsilon})$ using $O(N\log N)$ space.

 \item Coredisc's of negative integers down to $-N$, computed in time
 $O(N^{1+\varepsilon})$ using $O(N)$ space.

 \item Primitive dihedral forms of weight $1$ and level up to $N$,
 computed in time $O(N^{2+\varepsilon})$ and space $O(N^2)$.

 \bprog
 ? getcache()  \\ on startup, all caches are empty
 %1 =
 [  "Factors" 0 0 0 0]

 [ "Divisors" 0 0 0 0]

 [        "H" 0 0 0 0]

 ["CorediscF" 0 0 0 0]

 [ "Dihedral" 0 0 0 0]
 ? mfdim([500,1,0],0); \\ nontrivial computation
 time = 540 ms.
 ? getcache()
 %3 =
 [ "Factors" 50000 0      0 4479272]

 ["Divisors" 50000 1 100000 5189808]

 [       "H" 50000 0      0  400008]

 ["Dihedral"  1000 0      0 2278208]
 @eprog