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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 Sebastian Pancratz
Copyright (C) 2013 Tom Bachmann (C++ adaptation)
******************************************************************************/
/*
Demo FLINT program to demonstrate some use of the padic module.
*/
#include <iostream>
#include "padicxx.h"
using namespace flint;
using namespace std;
int main()
{
std::cout << "Output:\n\n";
// Case 1
{
std::cout << "Positive integer: x = 127 mod 7^10\n";
fmpzxx p(7);
padicxx_ctx ctx(p, 8, 12, PADIC_TERSE);
padicxx x = padicxx::from_QQ(127, ctx, 10);
ctx.mode() = PADIC_TERSE;
std::cout << "print: ";print(x);std::cout << '\n';
std::cout << "get_str: " << x.to_string() << '\n';
ctx.mode() = PADIC_SERIES;
std::cout << "print: ";print(x);std::cout << '\n';
std::cout << "get_str: " << x.to_string() << '\n';
ctx.mode() = PADIC_VAL_UNIT;
std::cout << "print: ";print(x);std::cout << '\n';
std::cout << "get_str: " << x.to_string() << '\n';
}
// Case 2
{
std::cout << "Positive integer larger than p^N: x = 1057 mod 2^10\n";
fmpzxx p(2);
padicxx_ctx ctx(p, 10, 12, PADIC_TERSE);
padicxx x = padicxx::from_QQ(1057, ctx, 10);
ctx.mode() = PADIC_TERSE;
std::cout << "print: ";print(x);std::cout << '\n';
std::cout << "get_str: " << x.to_string() << '\n';
ctx.mode() = PADIC_SERIES;
std::cout << "print: ";print(x);std::cout << '\n';
std::cout << "get_str: " << x.to_string() << '\n';
ctx.mode() = PADIC_VAL_UNIT;
std::cout << "print: ";print(x);std::cout << '\n';
std::cout << "get_str: " << x.to_string() << '\n';
}
// Case 3
{
std::cout << "Negative integer: x = -127 mod 3^10\n";
fmpzxx p(3);
padicxx_ctx ctx(p, 10, 12, PADIC_TERSE);
padicxx x = padicxx::from_QQ(-127, ctx, 10);
ctx.mode() = PADIC_TERSE;
std::cout << "print: ";print(x);std::cout << '\n';
std::cout << "get_str: " << x.to_string() << '\n';
ctx.mode() = PADIC_SERIES;
std::cout << "print: ";print(x);std::cout << '\n';
std::cout << "get_str: " << x.to_string() << '\n';
ctx.mode() = PADIC_VAL_UNIT;
std::cout << "print: ";print(x);std::cout << '\n';
std::cout << "get_str: " << x.to_string() << '\n';
}
// Log
{
std::cout << "Log of 7380996 mod 5^20\n";
fmpzxx p(5);
padicxx_ctx ctx(p, 10, 25, PADIC_SERIES);
padicxx x = padicxx::from_QQ(7380996, ctx);
padicxx y(log(x));
std::cout << "x = " << x << '\n';
std::cout << "y = " << y << '\n';
}
return 0;
}
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