int
main(void)
{
int i, result;
flint_rand_t state;
_randinit(state);
{
const char *str =
"3 [5 0 0] [0 5 0] [0 0 5] (2 0 1)[1 1 3]";
const long n = atoi(str) - 1;
mpoly_t P;
ctx_t ctxFracQt;
qadic_ctx_t Qq;
fmpz_t p = {3L};
long d = 40;
qadic_t t1;
prec_t prec, prec_in;
/*
prec_in.N0 = 9;
prec_in.N1 = 9;
prec_in.N2 = 9;
prec_in.N3 = 13;
prec_in.N3i = 14;
prec_in.N3w = 23;
prec_in.N3iw = 22;
prec_in.N4 = 18;
prec_in.m = 29;
prec_in.K = 178;
prec_in.r = 0;
prec_in.s = 0;
*/
ctx_init_fmpz_poly_q(ctxFracQt);
qadic_ctx_init_conway(Qq, p, d, 1, 1, "X", PADIC_SERIES);
qadic_init2(t1, 1);
qadic_gen(t1, Qq);
mpoly_init(P, n + 1, ctxFracQt);
mpoly_set_str(P, str, ctxFracQt);
frob(P, ctxFracQt, t1, Qq, &prec, NULL, 1);
qadic_clear(t1);
mpoly_clear(P, ctxFracQt);
ctx_clear(ctxFracQt);
qadic_ctx_clear(Qq);
}
_randclear(state);
_fmpz_cleanup();
return EXIT_SUCCESS;
}
int
main(void)
{
int i, result;
flint_rand_t state;
_randinit(state);
/*
A generic sextic curve.
*/
{
const char *str =
"3 [6 0 0] [0 6 0] [0 0 6] "
"(2 0 -1)[5 1 0] (2 0 7)[5 0 1] (2 0 2)[1 5 0] (2 0 1)[0 5 1] (2 0 2)[1 0 5] (2 0 1)[0 1 5] "
"(2 0 2)[4 2 0] (2 0 2)[4 0 2] (2 0 3)[2 4 0] (2 0 1)[0 4 2] (2 0 3)[2 0 4] (2 0 1)[0 2 4] "
"(2 0 3)[4 1 1] (2 0 3)[1 4 1] (2 0 1)[1 1 4] "
"(2 0 -1)[3 3 0] (2 0 -2)[3 0 3] (2 0 4)[0 3 3] "
"(2 0 2)[3 2 1] (2 0 1)[3 1 2] (2 0 -1)[2 3 1] (2 0 1)[1 3 2] (2 0 2)[2 1 3] (2 0 1)[1 2 3] "
"(2 0 1)[2 2 2]";
const long n = atoi(str) - 1;
mpoly_t P;
ctx_t ctxFracQt;
qadic_ctx_t Qq;
fmpz_t p = {5L};
long d = 1;
qadic_t t1;
prec_t prec, prec_in;
ctx_init_fmpz_poly_q(ctxFracQt);
qadic_ctx_init_conway(Qq, p, d, 1, 1, "X", PADIC_SERIES);
qadic_init2(t1, 1);
qadic_set_ui(t1, 2, Qq);
mpoly_init(P, n + 1, ctxFracQt);
mpoly_set_str(P, str, ctxFracQt);
frob(P, ctxFracQt, t1, Qq, &prec, NULL, 1);
qadic_clear(t1);
mpoly_clear(P, ctxFracQt);
ctx_clear(ctxFracQt);
qadic_ctx_clear(Qq);
}
_randclear(state);
_fmpz_cleanup();
return EXIT_SUCCESS;
}
int
main(void)
{
int i, result;
flint_rand_t state;
_randinit(state);
/*
A quartic surface from Example 4.2.1 in [AKR].
TODO: This currently still fails!
*/
{
const char *str =
"4 (2 2 -1)[4 0 0 0] [0 4 0 0] [0 0 4 0] [0 0 0 4] "
"(2 0 -1)[0 1 3 0] (2 0 1)[1 1 2 0] (2 0 1)[1 1 1 1] "
"(2 0 1)[2 1 1 0] (2 0 -1)[2 1 0 1] (2 0 1)[1 0 3 0] (2 0 -1)[1 0 2 1]";
const long n = atoi(str) - 1;
mpoly_t P;
ctx_t ctxFracQt;
qadic_ctx_t Qq;
fmpz_t p = {3L};
long d = 2;
qadic_t t1;
prec_t prec, prec_in;
ctx_init_fmpz_poly_q(ctxFracQt);
qadic_ctx_init_conway(Qq, p, d, 1, 1, "X", PADIC_SERIES);
qadic_init2(t1, 1);
qadic_gen(t1, Qq);
mpoly_init(P, n + 1, ctxFracQt);
mpoly_set_str(P, str, ctxFracQt);
frob(P, ctxFracQt, t1, Qq, &prec, NULL, 1);
qadic_clear(t1);
mpoly_clear(P, ctxFracQt);
ctx_clear(ctxFracQt);
qadic_ctx_clear(Qq);
}
_randclear(state);
_fmpz_cleanup();
return EXIT_SUCCESS;
}
int
main(void)
{
int i, result;
flint_rand_t state;
_randinit(state);
{
const char *str =
"4 [5 0 0 0] [0 5 0 0] [0 0 5 0] [0 0 0 5] (2 0 1)[2 1 1 1]";
const long n = atoi(str) - 1;
mpoly_t P;
ctx_t ctxFracQt;
qadic_ctx_t Qq;
fmpz_t p = {2L};
long d = 10;
qadic_t t1;
prec_t prec, prec_in;
ctx_init_fmpz_poly_q(ctxFracQt);
qadic_ctx_init_conway(Qq, p, d, 1, 1, "X", PADIC_SERIES);
qadic_init2(t1, 1);
qadic_gen(t1, Qq);
mpoly_init(P, n + 1, ctxFracQt);
mpoly_set_str(P, str, ctxFracQt);
frob(P, ctxFracQt, t1, Qq, &prec, NULL, 1);
qadic_clear(t1);
mpoly_clear(P, ctxFracQt);
ctx_clear(ctxFracQt);
qadic_ctx_clear(Qq);
}
_randclear(state);
_fmpz_cleanup();
return EXIT_SUCCESS;
}
int
main(void)
{
int i, result;
FLINT_TEST_INIT(state);
flint_printf("mul... ");
fflush(stdout);
/* Check aliasing: a = a * b */
for (i = 0; i < 2000; i++)
{
fmpz_t p;
slong d, N;
qadic_ctx_t ctx;
qadic_t a, b, c;
fmpz_init_set_ui(p, n_randprime(state, 2 + n_randint(state, 3), 1));
d = n_randint(state, 10) + 1;
N = z_randint(state, 50) + 1;
qadic_ctx_init_conway(ctx, p, d, FLINT_MAX(0,N-10), FLINT_MAX(0,N+10), "a", PADIC_SERIES);
qadic_init2(a, N);
qadic_init2(b, N);
qadic_init2(c, N);
qadic_randtest(a, state, ctx);
qadic_randtest(b, state, ctx);
qadic_mul(c, a, b, ctx);
qadic_mul(a, a, b, ctx);
result = (qadic_equal(a, c));
if (!result)
{
flint_printf("FAIL:\n\n");
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
abort();
}
qadic_clear(a);
qadic_clear(b);
qadic_clear(c);
fmpz_clear(p);
qadic_ctx_clear(ctx);
}
/* Check aliasing: b = a * b */
for (i = 0; i < 2000; i++)
{
fmpz_t p;
slong d, N;
qadic_ctx_t ctx;
qadic_t a, b, c;
fmpz_init_set_ui(p, n_randprime(state, 2 + n_randint(state, 3), 1));
d = n_randint(state, 10) + 1;
N = z_randint(state, 50) + 1;
qadic_ctx_init_conway(ctx, p, d, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), "a", PADIC_SERIES);
qadic_init2(a, N);
qadic_init2(b, N);
qadic_init2(c, N);
qadic_randtest(a, state, ctx);
qadic_randtest(b, state, ctx);
qadic_mul(c, a, b, ctx);
qadic_mul(b, a, b, ctx);
result = (qadic_equal(b, c));
if (!result)
{
flint_printf("FAIL:\n\n");
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
abort();
}
qadic_clear(a);
qadic_clear(b);
qadic_clear(c);
fmpz_clear(p);
qadic_ctx_clear(ctx);
}
/* Check aliasing: a = a + a */
for (i = 0; i < 2000; i++)
{
fmpz_t p;
slong d, N;
qadic_ctx_t ctx;
qadic_t a, c;
fmpz_init_set_ui(p, n_randprime(state, 2 + n_randint(state, 3), 1));
d = n_randint(state, 10) + 1;
N = z_randint(state, 50) + 1;
qadic_ctx_init_conway(ctx, p, d, FLINT_MAX(0,N-10), FLINT_MAX(0,N+10), "a", PADIC_SERIES);
qadic_init2(a, N);
qadic_init2(c, N);
qadic_randtest(a, state, ctx);
qadic_add(c, a, a, ctx);
qadic_add(a, a, a, ctx);
result = (qadic_equal(a, c));
if (!result)
{
flint_printf("FAIL:\n\n");
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
abort();
}
qadic_clear(a);
qadic_clear(c);
fmpz_clear(p);
qadic_ctx_clear(ctx);
}
/* Check that a * b == b * a */
for (i = 0; i < 2000; i++)
{
fmpz_t p;
slong d, N;
qadic_ctx_t ctx;
qadic_t a, b, c1, c2;
fmpz_init_set_ui(p, n_randprime(state, 2 + n_randint(state, 3), 1));
d = n_randint(state, 10) + 1;
N = z_randint(state, 50) + 1;
qadic_ctx_init_conway(ctx, p, d, FLINT_MAX(0,N-10), FLINT_MAX(0,N+10), "a", PADIC_SERIES);
qadic_init2(a, N);
qadic_init2(b, N);
qadic_init2(c1, N);
qadic_init2(c2, N);
qadic_randtest(a, state, ctx);
qadic_randtest(b, state, ctx);
qadic_mul(c1, a, b, ctx);
qadic_mul(c2, b, a, ctx);
result = (qadic_equal(c1, c2));
if (!result)
{
flint_printf("FAIL:\n\n");
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
flint_printf("c1 = "), qadic_print_pretty(c1, ctx), flint_printf("\n");
flint_printf("c2 = "), qadic_print_pretty(c2, ctx), flint_printf("\n");
abort();
}
qadic_clear(a);
qadic_clear(b);
qadic_clear(c1);
qadic_clear(c2);
fmpz_clear(p);
qadic_ctx_clear(ctx);
}
/* Check that (a * b) * c == a * (b * c) for integral values */
for (i = 0; i < 2000; i++)
{
fmpz_t p;
slong d, N;
qadic_ctx_t ctx;
qadic_t a, b, c, lhs, rhs;
fmpz_init_set_ui(p, n_randprime(state, 2 + n_randint(state, 3), 1));
d = n_randint(state, 10) + 1;
N = n_randint(state, 50) + 1;
qadic_ctx_init_conway(ctx, p, d, FLINT_MAX(0,N-10), FLINT_MAX(0,N+10), "a", PADIC_SERIES);
qadic_init2(a, N);
qadic_init2(b, N);
qadic_init2(c, N);
qadic_init2(lhs, N);
qadic_init2(rhs, N);
qadic_randtest_int(a, state, ctx);
qadic_randtest_int(b, state, ctx);
qadic_randtest_int(c, state, ctx);
qadic_mul(lhs, a, b, ctx);
qadic_mul(lhs, lhs, c, ctx);
qadic_mul(rhs, b, c, ctx);
qadic_mul(rhs, a, rhs, ctx);
result = (qadic_equal(lhs, rhs));
if (!result)
{
flint_printf("FAIL:\n\n");
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
flint_printf("lhs = "), qadic_print_pretty(lhs, ctx), flint_printf("\n");
flint_printf("rhs = "), qadic_print_pretty(rhs, ctx), flint_printf("\n");
abort();
}
qadic_clear(a);
qadic_clear(b);
qadic_clear(c);
qadic_clear(lhs);
qadic_clear(rhs);
fmpz_clear(p);
qadic_ctx_clear(ctx);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int
main(void)
{
int i, result;
FLINT_TEST_INIT(state);
flint_printf("norm... ");
fflush(stdout);
/* Compare with product of Galois conjugates */
for (i = 0; i < 2000; i++)
{
fmpz_t p;
slong d, N;
qadic_ctx_t ctx;
qadic_t a, b, c;
padic_t x, y;
slong j;
int ans;
fmpz_init_set_ui(p, n_randprime(state, 2 + n_randint(state, 3), 1));
d = n_randint(state, 10) + 1;
N = z_randint(state, 50) + 1;
qadic_ctx_init_conway(ctx, p, d, FLINT_MAX(0,N-10), FLINT_MAX(0,N+10), "a", PADIC_SERIES);
qadic_init2(a, N);
qadic_init2(b, N);
qadic_init2(c, N);
padic_init2(x, N);
padic_init2(y, N);
qadic_randtest_val(a, state, 0, ctx);
qadic_reduce(a, ctx);
qadic_norm(x, a, ctx);
qadic_one(b);
for (j = 0; j < d; j++)
{
qadic_frobenius(c, a, j, ctx);
qadic_mul(b, b, c, ctx);
}
ans = qadic_get_padic(y, b, ctx);
result = (ans && padic_equal(x, y));
if (!result)
{
flint_printf("FAIL:\n\n");
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
flint_printf("x = "), padic_print(x, &ctx->pctx), flint_printf("\n");
flint_printf("y = "), padic_print(y, &ctx->pctx), flint_printf("\n");
for (j = 0; j < d; j++)
{
qadic_frobenius(c, a, j, ctx);
flint_printf("sigma^%wd = ", j), qadic_print_pretty(c, ctx), flint_printf("\n");
}
flint_printf("ans = %d\n", ans);
abort();
}
qadic_clear(a);
qadic_clear(b);
qadic_clear(c);
padic_clear(x);
padic_clear(y);
fmpz_clear(p);
qadic_ctx_clear(ctx);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return EXIT_SUCCESS;
}