static
void fmpz_poly_evaluate_qadic(qadic_t rop,
const fmpz_poly_t op1, const qadic_t op2, const qadic_ctx_t ctx)
{
const long N = qadic_prec(rop);
const long d = qadic_ctx_degree(ctx);
if (N <= 0 || op2->val != 0 || rop == op2)
{
printf("Exception (fmpz_poly_evaluate_qadic):\n");
printf("Currently assumes that N > 0 and op2->val == 0, \n");
printf("and does not support aliasing.\n");
abort();
}
if (fmpz_poly_is_zero(op1))
{
qadic_zero(rop);
}
else if (qadic_is_zero(op2))
{
padic_poly_set_fmpz(rop, op1->coeffs + 0, &ctx->pctx);
}
else
{
fmpz_t pN;
fmpz_init(pN);
fmpz_pow_ui(pN, (&ctx->pctx)->p, N);
padic_poly_fit_length(rop, d);
_fmpz_mod_poly_compose_smod(rop->coeffs,
op1->coeffs, op1->length, op2->coeffs, op2->length,
ctx->a, ctx->j, ctx->len, pN);
_padic_poly_set_length(rop, d);
qadic_reduce(rop, ctx);
fmpz_clear(pN);
}
}
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;
}