/*
Copyright (C) 2013 Tom Bachmann
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 "padicxx.h"
#include "flintxx/test/helpers.h"
using namespace flint;
void
test_init()
{
padicxx_ctx ctx(fmpzxx(5), 10, 20, PADIC_TERSE);
tassert(ctx.get_p() == 5);
padicxx a(ctx, 20);
tassert(a.prec() == 20);
padicxx c(a);
tassert(a == c);
padicxx b(ctx, 30);
tassert((a + b).prec() == 30);
tassert((a + b).create_temporary().prec() == 30);
padicxx d((a + b).create_temporary());
tassert(d.prec() == 30);
padicxx e(a + b);
tassert(e.prec() == 30);
tassert(padicxx::zero(ctx).is_zero() && padicxx::zero(ctx, 25).is_zero());
tassert(padicxx::one(ctx).is_one() && padicxx::one(ctx, 25).is_one());
a.prec() = 25;
tassert(a.prec() == 25);
a.val() = 17;
tassert(a.val() == 17);
padicxx zero = padicxx::zero(ctx);
tassert(zero.unit() == 0);
tassert((zero + zero).unit() == 0);
tassert((zero + zero).val() == 0);
}
void
test_assignment()
{
padicxx_ctx ctx(fmpzxx(5), 10, 20, PADIC_TERSE);
padicxx a(ctx, 20), b(ctx, 20);
fmpzxx c(17); fmpqxx d(17, 1u);
a = 17; tassert(a != b);
b = 17; tassert(a == b);
b = 0; tassert(a != b);
b = UWORD(17); tassert(a == b);
b = 0; b = c; tassert(a == b);
b = 0; b = fmpzxx_ref(c); tassert(a == b);
b = 0; b = fmpzxx_srcref(c); tassert(a == b);
b = 0; b = d; tassert(a == b);
}
void
test_conversion()
{
padicxx_ctx ctx(fmpzxx(5), 10, 20, PADIC_TERSE);
padicxx_ctx ctx2(fmpzxx(5), 10, 20, PADIC_VAL_UNIT);
padicxx a(ctx), b(ctx2);
a = 15; b = 15;
tassert(a.to_string() == "15");
tassert(b.to_string() == "3*5");
tassert(a.to() == 15);
tassert(a.to() == fmpqxx(15, 1u));
std::ostringstream oss;
oss << a << ' ' << b;
tassert(oss.str() == "15 3*5");
}
template
padicxx make_padic(const T& t, slong prec = PADIC_DEFAULT_PREC)
{
static padicxx_ctx ctx(fmpzxx(5), 10, 20, PADIC_TERSE);
return padicxx::from_QQ(t, ctx, prec);
}
template
bool fuzzy_equals(const T& t, const U& u)
{
slong prec = std::min(t.prec(), u.prec()) - 5;
padicxx a(t.estimate_ctx(), prec); a = t;
padicxx b(t.estimate_ctx(), prec); b = u;
return a == b;
}
void
test_arithmetic()
{
fmpqxx af(17, 25u), bf(5, 27u);
padicxx a(make_padic(af));
padicxx b(make_padic(bf));
tassert(fuzzy_equals(a + b, make_padic(af + bf)));
tassert(fuzzy_equals(a * b, make_padic(af * bf)));
tassert(fuzzy_equals(a / b, make_padic(af / bf)));
tassert(fuzzy_equals(a - b, make_padic(af - bf)));
tassert(fuzzy_equals(a << 2, make_padic(af * fmpzxx(25))));
tassert(fuzzy_equals(a >> 2, make_padic(af / fmpzxx(25))));
tassert(-a == make_padic(-af));
}
void
test_functions()
{
padicxx_ctx ctx(fmpzxx(5), 10, 20, PADIC_TERSE);
padicxx a(make_padic(fmpqxx(14, 25u)));
tassert(fuzzy_equals(a, pow(sqrt(a), 2)));
assert_exception(sqrt(make_padic(fmpqxx(2, 1u))).evaluate());
fmpqxx cf(14*5, 1u);
padicxx c = make_padic(fmpqxx(14*5, 1u));
tassert(fuzzy_equals(log(exp(c)), c));
tassert(exp(c) == exp_rectangular(c) && exp(c) == exp_balanced(c));
c = exp(c);
tassert(log(c) == log_satoh(c) && log(c) == log_balanced(c)
&& log(c) == log_rectangular(c));
padicxx b(make_padic(fmpqxx(14, 17u)));
tassert((inv(b)*b).is_one());
padicxx two(make_padic(fmpqxx(2, 1u)));
padicxx tl(teichmuller(two));
tassert(pow(tl, 4).is_one() && (tl - two).val() > 0);
// TODO test reduce
// test padic_val_fac functions
tassert(padic_val_fac(fmpzxx(26), fmpzxx(5)) == 6);
tassert(padic_val_fac(26u, fmpzxx(5)) == 6);
// test randomisation
frandxx rand;
tassert(padicxx::randtest(rand, ctx, 5).val() < 5
&& padicxx::randtest(rand, ctx, 5).val() >= -1);
tassert(padicxx::randtest(rand, ctx, -5).val() < -5
&& padicxx::randtest(rand, ctx, -5).val() >= -6);
tassert(!padicxx::randtest_not_zero(rand, ctx, 5).is_zero());
tassert(padicxx::randtest_int(rand, ctx, -5).is_zero());
padicxx ap(a), bp(b);
swap(a, b);
tassert(a == bp && b == ap);
// test members (just a sample, since from macros)
tassert(b.inv() == inv(b));
tassert(b.pow(7) == pow(b, 7));
}
// test stuff which we should get automatically - references etc
void
test_extras()
{
padicxx a(make_padic(fmpqxx(3, 5u)));
padicxx b(make_padic(fmpqxx(3, 1u)));
padicxx_ref ar(a);
padicxx_srcref asr(a);
tassert(a == ar && ar == asr);
ar = 3;
tassert(a == b && asr == b);
tassert(ar + asr == a + a);
tassert(padicxx(ar) == ar);
tassert(padicxx(asr) == ar);
}
void
test_prec()
{
padicxx_ctx ctx(fmpzxx(5), 10, 20, PADIC_TERSE);
padicxx a(ctx, 5), b(ctx, 7);
padicxx_ref ar(a);
padicxx_srcref br(b);
tassert((a + a).prec() == 5);
tassert((a + ar).prec() == 5);
tassert((a + b).prec() == 7);
tassert((a + br).prec() == 7);
tassert((a.toN(15) + br.toN(10)).prec() == 15);
}
void
test_printing()
{
tassert_fprint(make_padic(0), "0");
}
int
main()
{
std::cout << "padicxx....";
test_init();
test_assignment();
test_conversion();
test_arithmetic();
test_functions();
test_extras();
test_prec();
test_printing();
std::cout << "PASS" << std::endl;
return 0;
}