Givaro
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Examples
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More details on
Basic Structures :
array
(0, 1, 2 dimensional),
bit array
,
hashtable
,
stack
.
Arithmetic with arbitrary precision over the
Integers
(
Karatsuba
with GMP) plus
Chinese remaindering.
Primality testing (
Miller
,
Lehmann
,
Pepin
for
Fermat
numbers, ...).
Factorization (
Pollard
, ...).
Euler
's phi.
Primitive roots.
RSA
coding system.
Arithmetic over
Z/mZ
.
Arithmetic with arbitrary precision over the
Rationals
.
Fractions
.
Linear Algebra : dense and sparse (reduced coordinate format)
vectors
, dense
matrices
and
submatrices
.
Visualisation tools.
Linear recurring sequence :
Pade
/
Euclide
algorithm over a field.
Reeds-Sloane
algorithm modulo any integer.
System solving :
Elimination (
Gauss
) over a field.
Fraction-free elimination (
Gauss-Bareiss
) over a ring.
Matrix-Free algorithm (
Coppersmith's Block Wiedemann
) over a field .
Rank computation :
Elimination over a field.
Fraction-free elimination over a ring.
Specialized elimination implementations (GF(2), GF(p^k)).
Matrix-Free algorithm over a field with
Toepliz
, diagonal and/or tranpose precondtionning.
Valence computation over the Integers :
Fraction-free elimination (Heuristic
Storjohan
).
Matrix-Free and Chinese remaindering.
Smith form :
Elimination or Matrix-Free over a field, elimination over GF(p^k) and Fraction-free elimination (Heuristic
Storjohan
).
Elimination or Matrix-Free over a field, elimination over GF(p^k) and Valence computation.
Polynomial
arithmetic.
Square free decomposition.
Sturm
query.
Factorization (
Berlekamp
,
Cantor-Zassenhaus
).
Arithmetic with
algebraic numbers
.
Equality testing (
D5
,
lazy
).
Sign testing (
Sylvester-Habicht
).
Timer
(microseconds).
user time, system time, real time.
,
:
Distributed
.
: Available via
e-mail
.
Last update: Tuesday, January 10th 2012
Givaro
, 
:
Distributed.
: Available via
e-mail.