117 lines
3.7 KiB
C++
117 lines
3.7 KiB
C++
/*=============================================================================
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This file is part of FLINT.
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FLINT is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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FLINT is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with FLINT; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2011 Sebastian Pancratz
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Copyright (C) 2013 Tom Bachmann (C++ adaptation)
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******************************************************************************/
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/*
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Demo FLINT program to demonstrate some use of the padic module.
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*/
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#include <iostream>
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#include "padicxx.h"
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using namespace flint;
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using namespace std;
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int main()
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{
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std::cout << "Output:\n\n";
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// Case 1
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{
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std::cout << "Positive integer: x = 127 mod 7^10\n";
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fmpzxx p(7);
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padicxx_ctx ctx(p, 8, 12, PADIC_TERSE);
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padicxx x = padicxx::from_QQ(127, ctx, 10);
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ctx.mode() = PADIC_TERSE;
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std::cout << "print: ";print(x);std::cout << '\n';
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std::cout << "get_str: " << x.to_string() << '\n';
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ctx.mode() = PADIC_SERIES;
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std::cout << "print: ";print(x);std::cout << '\n';
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std::cout << "get_str: " << x.to_string() << '\n';
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ctx.mode() = PADIC_VAL_UNIT;
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std::cout << "print: ";print(x);std::cout << '\n';
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std::cout << "get_str: " << x.to_string() << '\n';
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}
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// Case 2
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{
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std::cout << "Positive integer larger than p^N: x = 1057 mod 2^10\n";
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fmpzxx p(2);
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padicxx_ctx ctx(p, 10, 12, PADIC_TERSE);
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padicxx x = padicxx::from_QQ(1057, ctx, 10);
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ctx.mode() = PADIC_TERSE;
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std::cout << "print: ";print(x);std::cout << '\n';
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std::cout << "get_str: " << x.to_string() << '\n';
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ctx.mode() = PADIC_SERIES;
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std::cout << "print: ";print(x);std::cout << '\n';
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std::cout << "get_str: " << x.to_string() << '\n';
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ctx.mode() = PADIC_VAL_UNIT;
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std::cout << "print: ";print(x);std::cout << '\n';
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std::cout << "get_str: " << x.to_string() << '\n';
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}
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// Case 3
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{
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std::cout << "Negative integer: x = -127 mod 3^10\n";
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fmpzxx p(3);
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padicxx_ctx ctx(p, 10, 12, PADIC_TERSE);
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padicxx x = padicxx::from_QQ(-127, ctx, 10);
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ctx.mode() = PADIC_TERSE;
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std::cout << "print: ";print(x);std::cout << '\n';
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std::cout << "get_str: " << x.to_string() << '\n';
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ctx.mode() = PADIC_SERIES;
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std::cout << "print: ";print(x);std::cout << '\n';
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std::cout << "get_str: " << x.to_string() << '\n';
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ctx.mode() = PADIC_VAL_UNIT;
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std::cout << "print: ";print(x);std::cout << '\n';
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std::cout << "get_str: " << x.to_string() << '\n';
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}
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// Log
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{
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std::cout << "Log of 7380996 mod 5^20\n";
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fmpzxx p(5);
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padicxx_ctx ctx(p, 10, 25, PADIC_SERIES);
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padicxx x = padicxx::from_QQ(7380996, ctx);
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padicxx y(log(x));
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std::cout << "x = " << x << '\n';
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std::cout << "y = " << y << '\n';
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}
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return 0;
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}
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