# Examples¶

## Example programs¶

FLINT comes with example programs to demonstrate current and future FLINT features. To build the example programs, type:

make examples


The example programs are built in the build/examples directory. You must set your LD_LIBRARY_PATH or equivalent for the FLINT, MPIR and MPFR libraries. See your operating system documentation to see how to set this.

The current example programs are:

• partitions Demonstrates the partition counting code, e.g. build/examples/partitions 1000000000 will compute the number of partitions of 10^9.
• delta_qexp Computes the $$n$$-th term of the delta function, e.g. build/examples/delta_qexp 1000000 will compute the one million-th term of the $$q$$-expansion of delta.
• crt Demonstrates the integer Chinese Remainder code, e.g. build/examples/crt 10382788 will build up the given integer from its value mod various primes.
• multi_crt Demonstrates the fast tree version of the integer Chinese Remainder code, e.g. build/examples/multi_crt 100493287498239 13 will build up the given integer from its value mod the given number of primes.
• stirling_matrix Generates Stirling number matrices of the first and second kind and computes their product, which should come out as the identity matrix. The matrices are printed to standard output. For example build/examples/stirling_matrix 10 does this with 10 by 10 matrices.
• fmpz_poly_factor_zassenhaus Demonstrates the factorisation of a small polynomial. A larger polynomials is also provided on disk and a small (obvious) change to the example program will read this file instead of using the hard coded polynomial.
• padic Gives examples of the usage of many functions in the padic module.
• fmpz_poly_q Gives a very simple example of the fmpz_poly_q module.
• fmpz_poly Gives a very simple example of the fmpz_poly module.
• fmpq_poly Gives a very simple example of the fmpq_poly module.

Some of the example programs have associated C++ versions.