/*
Copyright (C) 2010 Sebastian Pancratz
This file is part of FLINT.
FLINT is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version. See .
*/
#include
#include
#include
#include
#include
#include "flint.h"
#include "fmpz.h"
#include "fmpz_poly.h"
#include "ulong_extras.h"
#include "profiler.h"
#define lenlo 1
#define lenhi 100
#define lenh 5
#define bitslo 16
#define bitshi 512
#define bitsh 32
#define explo 2
#define exphi 140
#define exph 5
#define cols ((lenhi + 1 - lenlo + (lenh - 1)) / lenh)
#define rows ((bitshi + 1 - bitslo + (bitsh - 1)) / bitsh)
#define height ((exphi + 1 - explo + (exph - 1)) / exph)
#define cpumin 10
#define img 1
int
main(void)
{
int k, exp;
fmpz_poly_t f, g;
FLINT_TEST_INIT(state);
fmpz_poly_init2(f, lenhi);
fmpz_poly_init2(g, exphi * (lenhi - 1) + 1);
flint_printf("Comparative timing for fmpz_poly_pow\n");
flint_printf("\n");
flint_printf("Length: [%d..%d] with step size %d\n", lenlo, lenhi, lenh);
flint_printf("Bit size: [%d..%d] with step size %d\n", bitslo, bitshi, bitsh);
flint_printf("Exponents: [%d..%d] with step size %d\n", explo, exphi, exph);
flint_printf("\n");
flint_printf("exp len bits (Binary exponentiation) Multinomials\n");
flint_printf("\n");
for (exp = explo, k = 0; exp <= exphi; exp += exph, k++)
{
int i, j, len, bits;
for (len = lenlo, j = 0; len <= lenhi; len += lenh, j++)
{
for (bits = bitslo, i = 0; bits <= bitshi; bits += bitsh, i++)
{
timeit_t t[2];
int l, loops = 1, r = 0;
slong s[2] = {WORD(0), WORD(0)};
double T[2];
/*
Construct random polynomial f of length len
*/
{
slong ell;
for (ell = 0; ell < len; ell++)
fmpz_randbits(f->coeffs + ell, state, bits);
if ((f->coeffs)[len - 1] == WORD(0))
fmpz_randtest_not_zero(f->coeffs + (len - 1), state, bits);
f->length = len;
}
/*
Run tests
*/
loop:
timeit_start(t[0]);
for (l = 0; l < loops; l++)
fmpz_poly_pow_binexp(g, f, exp);
timeit_stop(t[0]);
timeit_start(t[1]);
for (l = 0; l < loops; l++)
fmpz_poly_pow_multinomial(g, f, exp);
timeit_stop(t[1]);
if (t[0]->cpu <= cpumin || t[1]->cpu <= cpumin)
{
loops *= 10;
goto loop;
}
s[0] += t[0]->cpu;
s[1] += t[1]->cpu;
r += loops;
T[0] = s[0] / (double) r;
T[1] = s[1] / (double) r;
flint_printf("%d %d %d %f %f\n", exp, len, bits, T[0], T[1]);
fflush(stdout);
}
}
}
fmpz_poly_clear(f);
fmpz_poly_clear(g);
flint_randclear(state);
}