diff options
Diffstat (limited to 'moon-abe/pbc-0.5.14/guru/quadratic_test.c')
-rw-r--r-- | moon-abe/pbc-0.5.14/guru/quadratic_test.c | 62 |
1 files changed, 62 insertions, 0 deletions
diff --git a/moon-abe/pbc-0.5.14/guru/quadratic_test.c b/moon-abe/pbc-0.5.14/guru/quadratic_test.c new file mode 100644 index 00000000..3f78e95a --- /dev/null +++ b/moon-abe/pbc-0.5.14/guru/quadratic_test.c @@ -0,0 +1,62 @@ +// Test quadratic field extensions. + +#include "pbc.h" +#include "pbc_fp.h" +#include "pbc_fieldquadratic.h" +#include "pbc_test.h" + +int main(void) { + field_t fp, fp2; + mpz_t prime; + element_t a, b, c; + + mpz_init(prime); + // Prime is 3 mod 4 so that -1 is a quadratic nonresidue. + // For smaller tests, try the prime 83. + mpz_setbit(prime, 256); + do { + mpz_nextprime(prime, prime); + } while (mpz_fdiv_ui(prime, 4) != 3); + + field_init_fp(fp, prime); + field_init_fi(fp2, fp); + element_init(a, fp2); + element_init(b, fp2); + element_init(c, fp2); + + element_printf("field: %Z^2\n", prime); + + element_random(a); + element_random(b); + element_printf("a = %B, b = %B\n", a, b); + + element_add(c, a, b); + element_printf("a + b = %B\n", c); + + element_mul(c, a, b); + element_printf("a * b = %B\n", c); + + for (;;) { + element_random(a); + element_printf("new a = %B\n", a); + + if (element_is_sqr(a)) break; + printf(" is not a square\n"); + } + element_sqrt(c, a); + element_printf("sqrt(a) = %B\n", c); + element_mul(c, c, c); + element_printf("sqrt(a) * sqrt(a) = %B\n", c); + element_invert(c, a); + element_printf("1/a = %B\n", c); + element_mul(c, c, a); + element_printf("1/a * a = %B\n", c); + + element_clear(a); + element_clear(b); + element_clear(c); + field_clear(fp); + field_clear(fp2); + mpz_clear(prime); + return 0; +} |