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pqc/external/flint-2.4.3/qadic.h

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/*=============================================================================
This file is part of FLINT.
FLINT is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
FLINT is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with FLINT; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2011, 2012, 2013 Sebastian Pancratz
******************************************************************************/
#ifndef QADIC_H
#define QADIC_H
#undef ulong
#define ulong ulongxx /* interferes with system includes */
#include <stdlib.h>
#include <stdio.h>
#undef ulong
#include <gmp.h>
#include "flint.h"
#include "fmpz.h"
#include "fmpq.h"
#include "fmpz_vec.h"
#include "ulong_extras.h"
#include "padic.h"
#include "padic_poly.h"
#define ulong mp_limb_t
#ifdef __cplusplus
extern "C" {
#endif
/* Data types and context ****************************************************/
typedef padic_poly_t qadic_t;
typedef padic_poly_struct qadic_struct;
static __inline__ slong qadic_val(const qadic_t op)
{
return padic_poly_val(op);
}
static __inline__ slong qadic_prec(const qadic_t op)
{
return padic_poly_prec(op);
}
typedef struct
{
padic_ctx_struct pctx;
fmpz *a;
slong *j;
slong len;
char *var;
}
qadic_ctx_struct;
typedef qadic_ctx_struct qadic_ctx_t[1];
void qadic_ctx_init_conway(qadic_ctx_t ctx,
const fmpz_t p, slong d, slong min, slong max,
const char *var, enum padic_print_mode mode);
void qadic_ctx_clear(qadic_ctx_t ctx);
static __inline__ slong qadic_ctx_degree(const qadic_ctx_t ctx)
{
return ctx->j[ctx->len - 1];
}
static __inline__ void qadic_ctx_print(const qadic_ctx_t ctx)
{
slong i, k;
flint_printf("p = "), fmpz_print((&ctx->pctx)->p), flint_printf("\n");
flint_printf("d = %wd\n", ctx->j[ctx->len - 1]);
flint_printf("f(X) = ");
fmpz_print(ctx->a + 0);
for (k = 1; k < ctx->len; k++)
{
i = ctx->j[k];
flint_printf(" + ");
if (fmpz_is_one(ctx->a + k))
{
if (i == 1)
flint_printf("X");
else
flint_printf("X^%wd", i);
}
else
{
fmpz_print(ctx->a + k);
if (i == 1)
flint_printf("*X");
else
flint_printf("*X^%wd", i);
}
}
flint_printf("\n");
}
/* Memory management *********************************************************/
static __inline__ void qadic_init(qadic_t x)
{
padic_poly_init(x);
}
static __inline__ void qadic_init2(qadic_t rop, slong prec)
{
padic_poly_init2(rop, 0, prec);
}
static __inline__ void qadic_clear(qadic_t x)
{
padic_poly_clear(x);
}
/*
TODO: Consider renaming this function, prefix for the "qadic" module.
*/
static __inline__ void
_fmpz_poly_reduce(fmpz *R, slong lenR, const fmpz *a, const slong *j, slong len)
{
const slong d = j[len - 1];
slong i, k;
FMPZ_VEC_NORM(R, lenR);
for (i = lenR - 1; i >= d; i--)
{
for (k = len - 2; k >= 0; k--)
{
fmpz_submul(R + j[k] + i - d, R + i, a + k);
}
fmpz_zero(R + i);
}
}
/*
TODO: Consider renaming this function, prefix for the "qadic" module.
*/
static __inline__ void
_fmpz_mod_poly_reduce(fmpz *R, slong lenR,
const fmpz *a, const slong *j, slong len, const fmpz_t p)
{
const slong d = j[len - 1];
if (lenR > d)
{
_fmpz_poly_reduce(R, lenR, a, j, len);
_fmpz_vec_scalar_mod_fmpz(R, R, d, p);
}
else
{
_fmpz_vec_scalar_mod_fmpz(R, R, lenR, p);
}
}
static __inline__ void qadic_reduce(qadic_t x, const qadic_ctx_t ctx)
{
const slong N = qadic_prec(x);
const slong d = ctx->j[ctx->len - 1];
if (x->length == 0 || x->val >= N)
{
padic_poly_zero(x);
}
else
{
fmpz_t pow;
int alloc;
alloc = _padic_ctx_pow_ui(pow, N - x->val, &ctx->pctx);
_fmpz_mod_poly_reduce(x->coeffs, x->length, ctx->a, ctx->j, ctx->len, pow);
_padic_poly_set_length(x, FLINT_MIN(x->length, d));
_padic_poly_normalise(x);
padic_poly_canonicalise(x, (&ctx->pctx)->p);
if (alloc)
fmpz_clear(pow);
}
}
/* Randomisation *************************************************************/
static __inline__ void
qadic_randtest(qadic_t x, flint_rand_t state, const qadic_ctx_t ctx)
{
padic_poly_randtest(x, state, qadic_ctx_degree(ctx), &ctx->pctx);
}
static __inline__ void
qadic_randtest_not_zero(qadic_t x, flint_rand_t state, const qadic_ctx_t ctx)
{
padic_poly_randtest_not_zero(x, state, qadic_ctx_degree(ctx),
&ctx->pctx);
}
static __inline__ void
qadic_randtest_val(qadic_t x, flint_rand_t state, slong val,
const qadic_ctx_t ctx)
{
padic_poly_randtest_val(x, state, val, qadic_ctx_degree(ctx), &ctx->pctx);
}
static __inline__ void
qadic_randtest_int(qadic_t x, flint_rand_t state, const qadic_ctx_t ctx)
{
const slong N = qadic_prec(x);
if (N <= 0)
{
padic_poly_zero(x);
}
else
{
padic_poly_randtest_val(x, state, n_randint(state, N),
qadic_ctx_degree(ctx), &ctx->pctx);
}
}
/* Assignments and conversions ***********************************************/
static __inline__ void qadic_zero(qadic_t op)
{
padic_poly_zero(op);
}
static __inline__ void qadic_one(qadic_t op)
{
padic_poly_one(op);
}
static __inline__ void qadic_gen(qadic_t x, const qadic_ctx_t ctx)
{
const slong N = qadic_prec(x);
const slong d = qadic_ctx_degree(ctx);
if (d > 1)
{
if (N > 0)
{
padic_poly_fit_length(x, 2);
fmpz_zero(x->coeffs + 0);
fmpz_one(x->coeffs + 1);
_padic_poly_set_length(x, 2);
x->val = 0;
}
else
{
padic_poly_zero(x);
}
}
else
{
flint_printf("Exception (qadic_gen). Extension degree d = 1.\n");
abort();
}
}
static __inline__
void qadic_set_ui(qadic_t rop, ulong op, const qadic_ctx_t ctx)
{
padic_poly_set_ui(rop, op, &ctx->pctx);
}
static __inline__ int
qadic_get_padic(padic_t rop, const qadic_t op, const qadic_ctx_t ctx)
{
if (op->length > 0)
{
if (_fmpz_vec_is_zero(op->coeffs + 1, op->length - 1))
{
fmpz_set(padic_unit(rop), op->coeffs + 0);
padic_val(rop) = op->val;
_padic_canonicalise(rop, &ctx->pctx);
return 1;
}
else
{
return 0;
}
}
else
{
padic_zero(rop);
return 1;
}
}
static __inline__ void qadic_set(qadic_t rop, const qadic_t op, const qadic_ctx_t ctx)
{
padic_poly_set(rop, op, &(ctx->pctx));
}
void qadic_set_fmpz_poly(qadic_t rop, const fmpz_poly_t op,
const qadic_ctx_t ctx);
/* Comparison ****************************************************************/
static __inline__ int qadic_is_zero(const qadic_t op)
{
return padic_poly_is_zero(op);
}
static __inline__ int qadic_is_one(const qadic_t op)
{
return padic_poly_is_one(op);
}
static __inline__ int qadic_equal(const qadic_t op1, const qadic_t op2)
{
return padic_poly_equal(op1, op2);
}
/* Basic arithmetic **********************************************************/
static __inline__ void
qadic_add(qadic_t x, const qadic_t y, const qadic_t z, const qadic_ctx_t ctx)
{
padic_poly_add(x, y, z, &ctx->pctx);
}
static __inline__ void
qadic_sub(qadic_t x, const qadic_t y, const qadic_t z, const qadic_ctx_t ctx)
{
padic_poly_sub(x, y, z, &ctx->pctx);
}
static __inline__ void
qadic_neg(qadic_t x, const qadic_t y, const qadic_ctx_t ctx)
{
padic_poly_neg(x, y, &ctx->pctx);
}
void qadic_mul(qadic_t x, const qadic_t y, const qadic_t z,
const qadic_ctx_t ctx);
void _qadic_inv(fmpz *rop, const fmpz *op, slong len,
const fmpz *a, const slong *j, slong lena,
const fmpz_t p, slong N);
void qadic_inv(qadic_t x, const qadic_t y, const qadic_ctx_t ctx);
void _qadic_pow(fmpz *rop, const fmpz *op, slong len, const fmpz_t e,
const fmpz *a, const slong *j, slong lena,
const fmpz_t p);
void qadic_pow(qadic_t x, const qadic_t y, const fmpz_t e, const qadic_ctx_t ctx);
/* Special functions *********************************************************/
void _qadic_exp_rectangular(fmpz *rop, const fmpz *op, slong v, slong len,
const fmpz *a, const slong *j, slong lena,
const fmpz_t p, slong N, const fmpz_t pN);
int qadic_exp_rectangular(qadic_t rop, const qadic_t op,
const qadic_ctx_t ctx);
void _qadic_exp_balanced(fmpz *rop, const fmpz *op, slong v, slong len,
const fmpz *a, const slong *j, slong lena,
const fmpz_t p, slong N, const fmpz_t pN);
int qadic_exp_balanced(qadic_t rop, const qadic_t op,
const qadic_ctx_t ctx);
void _qadic_exp(fmpz *rop, const fmpz *op, slong v, slong len,
const fmpz *a, const slong *j, slong lena,
const fmpz_t p, slong N, const fmpz_t pN);
int qadic_exp(qadic_t rop, const qadic_t op, const qadic_ctx_t ctx);
void _qadic_log_rectangular(fmpz *z, const fmpz *y, slong v, slong len,
const fmpz *a, const slong *j, slong lena,
const fmpz_t p, slong N, const fmpz_t pN);
int qadic_log_rectangular(qadic_t rop, const qadic_t op, const qadic_ctx_t ctx);
void _qadic_log_balanced(fmpz *z, const fmpz *y, slong len,
const fmpz *a, const slong *j, slong lena,
const fmpz_t p, slong N, const fmpz_t pN);
int qadic_log_balanced(qadic_t rop, const qadic_t op, const qadic_ctx_t ctx);
void _qadic_log(fmpz *z, const fmpz *y, slong v, slong len,
const fmpz *a, const slong *j, slong lena,
const fmpz_t p, slong N, const fmpz_t pN);
int qadic_log(qadic_t rop, const qadic_t op, const qadic_ctx_t ctx);
void qadic_frobenius(qadic_t rop, const qadic_t op, slong e, const qadic_ctx_t ctx);
void _qadic_teichmuller(fmpz *rop, const fmpz *op, slong len,
const fmpz *a, const slong *j, slong lena,
const fmpz_t p, slong N);
void qadic_teichmuller(qadic_t rop, const qadic_t op, const qadic_ctx_t ctx);
void _qadic_trace(fmpz_t rop, const fmpz *op, slong len,
const fmpz *a, const slong *j, slong lena, const fmpz_t pN);
void qadic_trace(padic_t rop, const qadic_t op, const qadic_ctx_t ctx);
void _qadic_norm_resultant(fmpz_t rop, const fmpz *op, slong len,
const fmpz *a, const slong *j, slong lena,
const fmpz_t p, slong N);
void _qadic_norm_analytic(fmpz_t rop, const fmpz *y, slong v, slong len,
const fmpz *a, const slong *j, slong lena,
const fmpz_t p, slong N);
void _qadic_norm(fmpz_t rop, const fmpz *op, slong len,
const fmpz *a, const slong *j, slong lena,
const fmpz_t p, slong N);
void qadic_norm(padic_t rop, const qadic_t op, const qadic_ctx_t ctx);
void qadic_norm_analytic(padic_t rop, const qadic_t op, const qadic_ctx_t ctx);
void qadic_norm_resultant(padic_t rop, const qadic_t op, const qadic_ctx_t ctx);
int qadic_sqrt(qadic_t rop, const qadic_t op, const qadic_ctx_t ctx);
int qadic_invsqrt(qadic_t rop, const qadic_t op, const qadic_ctx_t ctx);
/* Output ********************************************************************/
int qadic_fprint_pretty(FILE *file, const qadic_t op, const qadic_ctx_t ctx);
static __inline__ int
qadic_print_pretty(const qadic_t op, const qadic_ctx_t ctx)
{
return qadic_fprint_pretty(stdout, op, ctx);
}
static __inline__ int qadic_debug(const qadic_t op)
{
return padic_poly_debug(op);
}
#ifdef __cplusplus
}
#endif
#endif
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